GET /api/ishell_4517nm_5232nm_hd_036112/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.516732065206603,
        4.516752091246067,
        4.516772117285531,
        4.516792143324994,
        4.516812169364458,
        4.516832195403922,
        4.516852221443386,
        4.51687224748285,
        4.5168922735223145,
        4.516912776372242,
        4.516932802411706,
        4.51695282845117,
        4.516972854490634,
        4.516992880530098,
        4.517012906569562,
        4.517032932609026,
        4.51705295864849,
        4.517072984687954,
        4.517093010727418,
        4.517113036766882,
        4.517133062806346,
        4.51715308884581,
        4.517173114885274,
        4.517293271122058,
        4.517313297161522,
        4.517333323200986,
        4.51735334924045,
        4.517373375279914,
        4.517393401319378,
        4.517413427358842,
        4.517433453398306,
        4.51745347943777,
        4.517473505477234,
        4.517493531516698,
        4.517513557556162,
        4.517533583595625,
        4.5175536096350895,
        4.5175736356745535,
        4.5175936617140175,
        4.517613687753482,
        4.517633713792946,
        4.51839231924026,
        4.5184123452797245,
        4.5184323713191885,
        4.518451920548189,
        4.518471946587653,
        4.518491972627117,
        4.518511998666581,
        4.518531547895582,
        4.518551573935046,
        4.51857159997451,
        4.518591626013974,
        4.518611652053438,
        4.518631201282438,
        4.518651227321902,
        4.518671253361366,
        4.51869127940083,
        4.518710828629831,
        4.518730854669295,
        4.518750880708758,
        4.518770906748222,
        4.518790455977223,
        4.518810482016687,
        4.518830508056151,
        4.518850534095615,
        4.518870083324615,
        4.518890109364079,
        4.5189101354035435,
        4.5189301614430075,
        4.5189497106720085,
        4.5189697367114725,
        4.518989762750937,
        4.519009311979937,
        4.519029338019401,
        4.519049364058865,
        4.519069390098329,
        4.51908893932733,
        4.519108965366794,
        4.519128991406257,
        4.519148540635258,
        4.519168566674722,
        4.519188592714186,
        4.519208141943187,
        4.51922816798265,
        4.519248194022114,
        4.519267743251115,
        4.519287769290579,
        4.519307795330043,
        4.519327344559043,
        4.519347370598507,
        4.519367396637971,
        4.519386945866972,
        4.519406971906436,
        4.5194269979459,
        4.5194465471749,
        4.519466573214364,
        4.5194865992538285,
        4.519506148482829,
        4.520259509015046,
        4.520279058244046,
        4.5202990842835105,
        4.520318633512511,
        4.5203386595519754,
        4.5203582087809755,
        4.5203782348204395,
        4.5203977840494405,
        4.5204178100889045,
        4.520437359317905,
        4.5204569085469055,
        4.52047693458637,
        4.52049648381537,
        4.520516509854834,
        4.520536059083835,
        4.520556085123299,
        4.5205756343523,
        4.520595660391763,
        4.520615209620764,
        4.520635235660228,
        4.520654784889229,
        4.520674334118229,
        4.520694360157693,
        4.520713909386694,
        4.520733935426158,
        4.520753484655158,
        4.520773033884159,
        4.520793059923623,
        4.520812609152623,
        4.520832635192087,
        4.520852184421088,
        4.520872210460552,
        4.520891759689552,
        4.520911308918553,
        4.520931334958017,
        4.520950884187017,
        4.520970433416018,
        4.520990459455482,
        4.521010008684483,
        4.521030034723946,
        4.521049583952947,
        4.521069133181948,
        4.521089159221412,
        4.521108708450412,
        4.521128257679413,
        4.521148283718877,
        4.521167832947877,
        4.521187382176878,
        4.521207408216342,
        4.521226957445342,
        4.521246506674343,
        4.521266532713807,
        4.521286081942807,
        4.521305631171808,
        4.521325657211272,
        4.521345206440273,
        4.521364755669273,
        4.52215149293393,
        4.522171518973394,
        4.522191068202394,
        4.522210617431395,
        4.522230166660396,
        4.522249715889396,
        4.522269265118397,
        4.522289291157861,
        4.522308840386861,
        4.522328389615862,
        4.522347938844862,
        4.522367488073863,
        4.522387037302864,
        4.522406586531864,
        4.522426612571328,
        4.522446161800329,
        4.522465711029329,
        4.52248526025833,
        4.52250480948733,
        4.522524358716331,
        4.522543907945332,
        4.522563457174332,
        4.522583483213796,
        4.522603032442797,
        4.522622581671797,
        4.522642130900798,
        4.522661680129798,
        4.522681229358799,
        4.5227007785878,
        4.5227203278168,
        4.522739877045801,
        4.522759426274801,
        4.522778975503802,
        4.522799001543266,
        4.522818550772266,
        4.522838100001267,
        4.522857649230268,
        4.522877198459268,
        4.522896747688269,
        4.522916296917269,
        4.52293584614627,
        4.522955395375271,
        4.522974944604271,
        4.522994493833272,
        4.523014043062272,
        4.523033592291273,
        4.523053141520273,
        4.523072690749274,
        4.523092239978275,
        4.523111789207275,
        4.523131338436276,
        4.523150887665276,
        4.523170436894277,
        4.523189986123278,
        4.523209535352278,
        4.523229084581279,
        4.523248633810279,
        4.52326818303928,
        4.52328773226828,
        4.523307281497281,
        4.5233268307262815,
        4.5233463799552815,
        4.524010100120374,
        4.524029649349375,
        4.524048721767912,
        4.524068270996913,
        4.524087820225913,
        4.524107369454914,
        4.524126918683914,
        4.524146467912915,
        4.524166017141916,
        4.5241850895604525,
        4.524204638789453,
        4.5242241880184535,
        4.524243737247454,
        4.5242632864764545,
        4.524282835705455,
        4.524301908123992,
        4.524321457352992,
        4.524341006581993,
        4.524360555810994,
        4.524380105039994,
        4.524399177458531,
        4.524418726687532,
        4.524438275916533,
        4.524457825145533,
        4.524477374374534,
        4.524496446793071,
        4.524515996022072,
        4.524535545251072,
        4.524555094480073,
        4.524574643709073,
        4.524593716127611,
        4.524613265356611,
        4.524632814585612,
        4.524652363814612,
        4.52467143623315,
        4.52469098546215,
        4.524710534691151,
        4.524730083920151,
        4.524749156338688,
        4.524768705567689,
        4.52478825479669,
        4.52480780402569,
        4.5248268764442265,
        4.5248464256732275,
        4.524865974902228,
        4.5248855241312285,
        4.524904596549765,
        4.524924145778766,
        4.524943695007767,
        4.524962767426304,
        4.524982316655304,
        4.525001865884305,
        4.525021415113306,
        4.525040487531843,
        4.525060036760843,
        4.525079585989844,
        4.525098658408381,
        4.525118207637382,
        4.525137756866382,
        4.52515682928492,
        4.52517637851392,
        4.525195927742921,
        4.525215000161458,
        4.525234549390459,
        4.525254098619459,
        4.525989340354066,
        4.526008889583066,
        4.526027962001603,
        4.526047511230604,
        4.526066583649141,
        4.526086132878142,
        4.526105205296679,
        4.5261247545256795,
        4.52614430375468,
        4.5261633761732165,
        4.5261829254022174,
        4.526201997820754,
        4.526221547049755,
        4.526240619468292,
        4.526259691886829,
        4.52627924111583,
        4.526298313534367,
        4.526317862763368,
        4.526336935181905,
        4.526356484410905,
        4.526375556829443,
        4.526395106058443,
        4.52641417847698,
        4.526433727705981,
        4.526452800124518,
        4.526472349353519,
        4.5264914217720555,
        4.5265109710010565,
        4.526530043419593,
        4.52654911583813,
        4.526568665067131,
        4.526587737485668,
        4.526607286714668,
        4.526626359133206,
        4.526645908362206,
        4.526664980780743,
        4.526684053199281,
        4.526703602428281,
        4.526722674846819,
        4.526742224075819,
        4.526761296494356,
        4.526780845723357,
        4.526799918141894,
        4.526818990560431,
        4.5268385397894315,
        4.5268576122079685,
        4.526876684626505,
        4.526896233855506,
        4.526915306274043,
        4.526934855503044,
        4.526953927921581,
        4.526973000340118,
        4.526992549569119,
        4.527011621987656,
        4.527030694406193,
        4.527050243635194,
        4.527069316053731,
        4.527088865282732,
        4.527107937701269,
        4.527127010119806,
        4.5271465593488065,
        4.527165631767343,
        4.52718470418588,
        4.527876079357852,
        4.527895151776389,
        4.527914224194926,
        4.527933773423927,
        4.527952845842464,
        4.5279719182610005,
        4.527990990679538,
        4.528010063098075,
        4.528029612327075,
        4.528048684745613,
        4.52806775716415,
        4.528086829582687,
        4.528105902001224,
        4.528125451230225,
        4.528144523648762,
        4.528163596067299,
        4.528182668485837,
        4.5282017409043736,
        4.5282208133229105,
        4.528240362551911,
        4.528259434970448,
        4.528278507388985,
        4.528297579807522,
        4.528316652226059,
        4.528335724644597,
        4.528354797063134,
        4.528374346292134,
        4.528393418710672,
        4.528412491129209,
        4.528431563547746,
        4.528450635966283,
        4.52846970838482,
        4.528488780803357,
        4.528507853221894,
        4.528527402450895,
        4.528546474869432,
        4.528565547287969,
        4.528584619706506,
        4.528603692125044,
        4.528622764543581,
        4.528641836962118,
        4.528660909380655,
        4.528679981799192,
        4.5286990542177294,
        4.528718126636266,
        4.528737199054803,
        4.528756748283804,
        4.528775820702341,
        4.528794893120878,
        4.528813965539415,
        4.528833037957953,
        4.52885211037649,
        4.528871182795027,
        4.528890255213564,
        4.5289093276321015,
        4.5289284000506385,
        4.528947472469175,
        4.528966544887712,
        4.528985617306249,
        4.529004689724787,
        4.529023762143324,
        4.529042834561861,
        4.529061906980398,
        4.529080979398936,
        4.529100051817473,
        4.52911912423601,
        4.5291381966545465,
        4.5291572690730835,
        4.529176341491621,
        4.529842922519494,
        4.529861994938031,
        4.529881067356568,
        4.529900139775106,
        4.529919212193643,
        4.5299378078017165,
        4.5299568802202534,
        4.52997595263879,
        4.529995025057327,
        4.530014097475865,
        4.530033169894402,
        4.530052242312939,
        4.530070837921013,
        4.53008991033955,
        4.530108982758087,
        4.5301280551766245,
        4.5301471275951615,
        4.530166200013698,
        4.530184795621772,
        4.530203868040309,
        4.530222940458846,
        4.530242012877384,
        4.530261085295921,
        4.530279680903995,
        4.530298753322532,
        4.530317825741069,
        4.5303368981596055,
        4.530355970578143,
        4.530374566186216,
        4.530393638604754,
        4.530412711023291,
        4.530431783441828,
        4.530450855860365,
        4.530469451468439,
        4.530488523886976,
        4.5305075963055135,
        4.53052666872405,
        4.530545264332124,
        4.530564336750661,
        4.530583409169198,
        4.530602481587735,
        4.530621077195809,
        4.530640149614347,
        4.530659222032884,
        4.530678294451421,
        4.530696890059494,
        4.530715962478031,
        4.530735034896568,
        4.530754107315106,
        4.530772702923179,
        4.530791775341717,
        4.530810847760254,
        4.530829920178791,
        4.5308485157868645,
        4.5308675882054015,
        4.530886660623938,
        4.530905256232012,
        4.530924328650549,
        4.530943401069087,
        4.530961996677161,
        4.530981069095698,
        4.531000141514235,
        4.531019213932772,
        4.5310378095408455,
        4.531056881959382,
        4.53107595437792,
        4.531094549985993,
        4.531113622404531,
        4.531132694823068,
        4.531151290431142,
        4.531812149733454,
        4.5318312221519905,
        4.531849817760064,
        4.531868890178601,
        4.531887485786675,
        4.531906558205212,
        4.531925630623749,
        4.531944226231823,
        4.53196329865036,
        4.531981894258434,
        4.532000966676971,
        4.532019562285044,
        4.532038634703582,
        4.532057230311656,
        4.532076302730193,
        4.532094898338267,
        4.532113970756804,
        4.5321325663648775,
        4.532151638783414,
        4.532170234391488,
        4.532189306810025,
        4.532207902418099,
        4.532226974836636,
        4.53224557044471,
        4.532264642863247,
        4.5322832384713205,
        4.532301834079394,
        4.532320906497931,
        4.532339502106005,
        4.532358574524542,
        4.532377170132616,
        4.532396242551153,
        4.532414838159227,
        4.532433910577764,
        4.532452506185837,
        4.532471101793911,
        4.532490174212448,
        4.532508769820522,
        4.53252784223906,
        4.532546437847133,
        4.532565510265671,
        4.532584105873744,
        4.532602701481817,
        4.532621773900355,
        4.532640369508428,
        4.532659441926966,
        4.53267803753504,
        4.532696633143113,
        4.5327157055616505,
        4.532734301169724,
        4.532753373588261,
        4.532771969196335,
        4.532790564804408,
        4.532809637222946,
        4.53282823283102,
        4.532847305249557,
        4.53286590085763,
        4.532884496465704,
        4.532903568884241,
        4.532922164492315,
        4.532940760100389,
        4.532959832518926,
        4.532978428127,
        4.5329970237350725,
        4.53301609615361,
        4.533034691761684,
        4.533053287369757,
        4.533072359788295,
        4.533090955396369,
        4.533109551004442,
        4.5331286234229795,
        4.533147219031053,
        4.533165814639126,
        4.53378376099973,
        4.533802356607803,
        4.533820952215877,
        4.533840024634414,
        4.533858620242488,
        4.533877215850562,
        4.533895811458636,
        4.5339144070667095,
        4.533933479485246,
        4.53395207509332,
        4.533970670701394,
        4.533989266309468,
        4.534007861917541,
        4.534026934336079,
        4.534045529944152,
        4.534064125552225,
        4.534082721160299,
        4.534101316768373,
        4.534119912376447,
        4.534138984794984,
        4.534157580403058,
        4.534176176011131,
        4.534194771619205,
        4.534213367227279,
        4.534231962835353,
        4.534250558443426,
        4.5342691540515,
        4.5342882264700375,
        4.53430682207811,
        4.534325417686184,
        4.534344013294258,
        4.534493254969312,
        4.534511850577385,
        4.5345304461854585,
        4.534549041793532,
        4.534567637401606,
        4.53458623300968,
        4.534604828617754,
        4.534623424225828,
        4.534642019833901,
        4.534660615441974,
        4.534679687860512,
        4.534698283468585,
        4.534716879076659,
        4.534735474684733,
        4.534754070292807,
        4.5347726659008805,
        4.534791261508954,
        4.534809857117028,
        4.534828452725102,
        4.534847048333175,
        4.534865643941249,
        4.5348842395493225,
        4.534902835157396,
        4.53492143076547,
        4.534940026373544,
        4.534958621981618,
        4.534977217589691,
        4.534995813197765,
        4.535014408805838,
        4.535033004413912,
        4.535051600021986,
        4.53507019563006,
        4.535088791238134,
        4.5351073868462075,
        4.5351259824542804,
        4.535144578062354,
        4.535163173670428,
        4.535181769278502,
        4.535200364886576,
        4.5357753983054705,
        4.535793993913544,
        4.535812589521618,
        4.535831185129691,
        4.535849780737765,
        4.535868376345839,
        4.5358869719539125,
        4.535905090751523,
        4.535923686359596,
        4.53594228196767,
        4.535960877575744,
        4.535979473183818,
        4.5359980687918915,
        4.536016187589501,
        4.536034783197575,
        4.536053378805649,
        4.536071974413723,
        4.536090570021797,
        4.53610916562987,
        4.536183071251702,
        4.5362016668597755,
        4.536219785657385,
        4.536238381265459,
        4.536256976873533,
        4.536275572481607,
        4.536294168089681,
        4.5363122868872905,
        4.536330882495364,
        4.536349478103438,
        4.536368073711512,
        4.536386192509122,
        4.536404788117196,
        4.536423383725269,
        4.536441979333343,
        4.536460098130954,
        4.536478693739027,
        4.536497289347101,
        4.5365158849551745,
        4.536534003752785,
        4.536552599360859,
        4.536571194968932,
        4.536589790577006,
        4.5366079093746166,
        4.53662650498269,
        4.536645100590764,
        4.536663696198837,
        4.536681814996448,
        4.536700410604522,
        4.5367190062125955,
        4.536737125010205,
        4.536755720618279,
        4.536774316226353,
        4.536792911834427,
        4.536811030632037,
        4.53682962624011,
        4.536848221848184,
        4.536866340645795,
        4.536884936253868,
        4.536903531861942,
        4.536921650659552,
        4.536940246267626,
        4.5369588418757,
        4.53697696067331,
        4.536995556281384,
        4.537014151889458,
        4.537032270687067,
        4.537050866295141,
        4.537069461903215,
        4.537087580700826,
        4.537106176308899,
        4.5371247719169725,
        4.537142890714583,
        4.537161486322657,
        4.537179605120267,
        4.537198200728341,
        4.537805180448285,
        4.537841894853969,
        4.5378786092596535,
        4.538025466882389,
        4.538044062490463,
        4.5380621812880735,
        4.538080776896146,
        4.538098895693757,
        4.538117014491367,
        4.538135610099441,
        4.5381537288970515,
        4.538172324505125,
        4.538190443302735,
        4.538209038910809,
        4.53822715770842,
        4.538245753316493,
        4.538263872114103,
        4.538282467722177,
        4.538300586519787,
        4.538318705317398,
        4.5383373009254715,
        4.538355419723081,
        4.538374015331155,
        4.538392134128766,
        4.53841072973684,
        4.5384288485344495,
        4.53844696733206,
        4.538465562940133,
        4.538483681737744,
        4.538502277345818,
        4.5385203961434275,
        4.538538514941038,
        4.538557110549112,
        4.538575229346722,
        4.538593824954796,
        4.538611943752406,
        4.538630062550016,
        4.53864865815809,
        4.538666776955701,
        4.538685372563774,
        4.538703491361384,
        4.538721610158994,
        4.538740205767068,
        4.538758324564679,
        4.538776443362289,
        4.538795038970362,
        4.538813157767973,
        4.538831276565583,
        4.538849872173657,
        4.5388679909712675,
        4.538886109768877,
        4.538904705376951,
        4.538922824174561,
        4.538940942972172,
        4.5389595385802455,
        4.538977657377855,
        4.538995776175466,
        4.53901437178354,
        4.53903249058115,
        4.53905060937876,
        4.539069204986834,
        4.539087323784444,
        4.539105442582055,
        4.5391240381901286,
        4.539142156987738,
        4.539160275785349,
        4.539178394582959,
        4.539196990191033,
        4.5392151089886426,
        4.539233227786253,
        4.539251823394327,
        4.539269942191937,
        4.539288060989548,
        4.53988931898393,
        4.539907437781541,
        4.539926033389615,
        4.539944152187225,
        4.5399622709848355,
        4.539980389782445,
        4.539998508580056,
        4.540016627377666,
        4.540034746175277,
        4.54005334178335,
        4.54007146058096,
        4.540089579378571,
        4.540107698176181,
        4.5401258169737915,
        4.540143935771401,
        4.540162054569012,
        4.540180173366622,
        4.540198768974696,
        4.540216887772306,
        4.540235006569916,
        4.540253125367527,
        4.540271244165137,
        4.540289362962747,
        4.540307481760357,
        4.540325600557968,
        4.540343719355578,
        4.5403618381531885,
        4.540380433761262,
        4.540398552558872,
        4.540416671356483,
        4.540434790154093,
        4.540452908951703,
        4.540471027749313,
        4.540489146546924,
        4.540507265344534,
        4.5405253841421445,
        4.540543502939754,
        4.540561621737365,
        4.540579740534975,
        4.5405978593325855,
        4.540615978130195,
        4.540634096927806,
        4.540652215725416,
        4.540670334523027,
        4.540688453320636,
        4.540706572118247,
        4.540725167726321,
        4.540743286523931,
        4.5407614053215415,
        4.540779524119151,
        4.540797642916762,
        4.540815761714372,
        4.540833880511983,
        4.540851999309592,
        4.540870118107203,
        4.540888236904813,
        4.540906355702424,
        4.5409244745000334,
        4.540942593297644,
        4.540960712095255,
        4.540978830892865,
        4.540996472880011,
        4.541014591677622,
        4.541032710475232,
        4.541050829272843,
        4.5410689480704525,
        4.541087066868063,
        4.541105185665673,
        4.541123304463284,
        4.5411414232608935,
        4.541159542058504,
        4.541177660856114,
        4.541195779653725,
        4.541213898451335,
        4.541232017248945,
        4.541250136046555,
        4.541268254844166,
        4.541286373641776,
        4.541304492439386,
        4.541864267923451,
        4.541882386721062,
        4.541900028708208,
        4.541918147505819,
        4.541936266303429,
        4.5419543851010395,
        4.541972503898649,
        4.541990145885796,
        4.542008264683407,
        4.542026383481017,
        4.542044502278627,
        4.542062621076237,
        4.542080263063385,
        4.542098381860995,
        4.542116500658605,
        4.542134619456215,
        4.542152261443362,
        4.5421703802409725,
        4.542188499038582,
        4.542206617836193,
        4.542224736633803,
        4.5422423786209505,
        4.54226049741856,
        4.542278616216171,
        4.542296735013781,
        4.5423143770009275,
        4.542332495798538,
        4.542350614596148,
        4.542368733393759,
        4.5423863753809055,
        4.542404494178515,
        4.542422612976126,
        4.542440731773736,
        4.5424583737608835,
        4.542476492558493,
        4.542494611356104,
        4.542512253343251,
        4.5425303721408605,
        4.542548490938471,
        4.542566609736081,
        4.542584251723229,
        4.5426023705208385,
        4.542620489318449,
        4.542638131305596,
        4.542656250103206,
        4.542674368900816,
        4.542692010887963,
        4.542710129685573,
        4.542728248483184,
        4.54274589047033,
        4.542764009267941,
        4.542782128065551,
        4.542799770052698,
        4.542817888850308,
        4.542836007647918,
        4.542853649635065,
        4.542871768432676,
        4.542889887230285,
        4.542907529217433,
        4.542925648015043,
        4.5429437668126535,
        4.5429614087998,
        4.54297952759741,
        4.542997646395021,
        4.5430152883821675,
        4.543033407179778,
        4.543051049166925,
        4.543069167964535,
        4.5430872867621455,
        4.543104928749292,
        4.543123047546902,
        4.54314068953405,
        4.543158808331659,
        4.54317692712927,
        4.543194569116417,
        4.543212687914027,
        4.543230329901173,
        4.543248448698784,
        4.543266567496394,
        4.5432842094835415,
        4.543302328281151,
        4.543319970268298,
        4.543338089065909,
        4.543928380419633,
        4.543946499217244,
        4.54396414120439,
        4.543981783191537,
        4.543999901989147,
        4.544017543976294,
        4.544035662773904,
        4.544053304761051,
        4.544071423558662,
        4.544089065545808,
        4.544107184343418,
        4.544124826330566,
        4.5441424683177125,
        4.544160587115322,
        4.544178229102469,
        4.54419634790008,
        4.5442139898872265,
        4.544232108684837,
        4.544249750671984,
        4.544267392659131,
        4.54428551145674,
        4.544303153443888,
        4.544321272241498,
        4.5443389142286446,
        4.544356556215791,
        4.544374675013402,
        4.544392317000549,
        4.544410435798159,
        4.544428077785306,
        4.544445719772453,
        4.544463838570063,
        4.54448148055721,
        4.54449959935482,
        4.544517241341967,
        4.5445348833291135,
        4.544553002126724,
        4.544570644113871,
        4.544588286101018,
        4.544606404898628,
        4.544624046885775,
        4.544641688872922,
        4.5446598076705325,
        4.544677449657679,
        4.544695091644826,
        4.544713210442436,
        4.544730852429583,
        4.54474849441673,
        4.54476661321434,
        4.5447842552014865,
        4.544801897188634,
        4.544820015986244,
        4.544837657973391,
        4.544855299960537,
        4.544873418758148,
        4.544891060745295,
        4.5449087027324415,
        4.544926821530052,
        4.544944463517199,
        4.544962105504346,
        4.544979747491492,
        4.544997866289103,
        4.54501550827625,
        4.5450331502633965,
        4.545051269061007,
        4.545068911048154,
        4.545086553035301,
        4.545104195022447,
        4.545122313820058,
        4.545139955807205,
        4.5451575977943515,
        4.545175239781498,
        4.545193358579109,
        4.545211000566256,
        4.545228642553402,
        4.545246284540549,
        4.545991062484425,
        4.546008704471571,
        4.546026346458718,
        4.546043988445865,
        4.5460616304330115,
        4.546079272420158,
        4.546096914407306,
        4.546115033204916,
        4.546132675192062,
        4.546150317179209,
        4.546167959166357,
        4.546185601153503,
        4.54620324314065,
        4.546220885127797,
        4.5462385271149435,
        4.54625616910209,
        4.546273811089238,
        4.5462914530763845,
        4.546309095063531,
        4.546326737050678,
        4.546344379037825,
        4.546362021024971,
        4.546380139822582,
        4.546397781809729,
        4.5464154237968755,
        4.546433065784022,
        4.546450707771169,
        4.5464683497583165,
        4.546485991745463,
        4.54650363373261,
        4.546521275719757,
        4.546538917706903,
        4.54655655969405,
        4.546574201681198,
        4.546591843668344,
        4.546609485655491,
        4.546627127642638,
        4.5466447696297845,
        4.546662411616931,
        4.546680053604079,
        4.5466976955912255,
        4.546715337578372,
        4.546732979565519,
        4.546750621552666,
        4.546768263539812,
        4.546785905526959,
        4.546803547514107,
        4.546821189501253,
        4.5468388314884,
        4.546856473475547,
        4.5468741154626935,
        4.54689175744984,
        4.546909399436988,
        4.5469265646136705,
        4.546944206600818,
        4.546961848587965,
        4.5469794905751115,
        4.546997132562258,
        4.547014774549405,
        4.547032416536552,
        4.547050058523699,
        4.547067700510846,
        4.547085342497993,
        4.547102984485139,
        4.547120626472286,
        4.547138268459433,
        4.5471559104465795,
        4.547173075623263,
        4.54719071761041,
        4.547331853507585,
        4.547349018684268,
        4.547366660671416,
        4.547384302658562,
        4.547401944645709,
        4.547419586632856,
        4.547437228620002,
        4.547454870607149,
        4.547472035783833,
        4.5474896777709795,
        4.547507319758127,
        4.547524961745274,
        4.5475426037324205,
        4.547560245719567,
        4.547577887706714,
        4.5475950528833975,
        4.547612694870544,
        4.548121451635023,
        4.5481390936221695,
        4.548156735609316,
        4.548173900786,
        4.5481915427731465,
        4.548209184760293,
        4.548226349936977,
        4.5482439919241235,
        4.54826163391127,
        4.548279275898417,
        4.548296441075101,
        4.548314083062247,
        4.548331725049394,
        4.548348890226078,
        4.548366532213224,
        4.548384174200372,
        4.548401816187519,
        4.548418981364202,
        4.548436623351349,
        4.548454265338496,
        4.548471430515179,
        4.548489072502326,
        4.548506714489473,
        4.548523879666156,
        4.548541521653303,
        4.54855916364045,
        4.548576328817133,
        4.54859397080428,
        4.548611612791427,
        4.54862877796811,
        4.548646419955257,
        4.548664061942404,
        4.548681227119087,
        4.548698869106234,
        4.548716511093381,
        4.548733676270064,
        4.548751318257211,
        4.548768483433895,
        4.548786125421041,
        4.548803767408189,
        4.548820932584872,
        4.548838574572019,
        4.548856216559166,
        4.5488733817358495,
        4.548891023722996,
        4.548908188899679,
        4.548925830886827,
        4.548943472873973,
        4.548960638050657,
        4.548978280037804,
        4.548995445214487,
        4.549013087201634,
        4.549030729188781,
        4.549047894365464,
        4.549065536352611,
        4.5490827015292945,
        4.549222406995079,
        4.5492395721717624,
        4.549257214158909,
        4.549274379335593,
        4.5492920213227395,
        4.549309663309886,
        4.54932682848657,
        4.5493444704737165,
        4.5493616356504,
        4.549379277637547,
        4.54939644281423,
        4.549414084801377,
        4.549431249978061,
        4.549448891965207,
        4.549466057141891,
        4.549483699129038,
        4.549500864305721,
        4.549518506292868,
        4.549535671469551,
        4.549553313456698,
        4.549570478633381,
        4.549588120620529,
        4.549605285797211,
        4.549622927784359,
        4.549640092961042,
        4.549657734948189,
        4.549674900124872,
        4.54969254211202,
        4.549709707288702,
        4.549727349275849,
        4.5501960539613995,
        4.550213219138083,
        4.55023086112523,
        4.550248026301913,
        4.550265191478597,
        4.550282833465744,
        4.550299998642427,
        4.550317640629574,
        4.550334805806258,
        4.55035197098294,
        4.550369612970088,
        4.550386778146771,
        4.550403943323454,
        4.550421585310601,
        4.5504387504872845,
        4.550455915663968,
        4.550473557651115,
        4.550490722827798,
        4.550507888004482,
        4.550525529991629,
        4.550542695168312,
        4.550559860344995,
        4.550577502332143,
        4.550594667508825,
        4.550611832685509,
        4.550629474672656,
        4.550646639849339,
        4.550663805026023,
        4.5506809702027065,
        4.550698612189853,
        4.550715777366537,
        4.55073294254322,
        4.550750584530367,
        4.55076774970705,
        4.550784914883733,
        4.550802080060417,
        4.550819722047564,
        4.550836887224247,
        4.550854052400931,
        4.550871694388078,
        4.550888859564761,
        4.550906024741445,
        4.5509231899181275,
        4.550940831905275,
        4.550957997081958,
        4.550975162258641,
        4.550992327435325,
        4.551009969422472,
        4.551165409633549,
        4.551182574810233,
        4.551199739986917,
        4.5512169051636,
        4.551234070340283,
        4.55125171232743,
        4.551268877504113,
        4.551286042680797,
        4.55130320785748,
        4.551320373034164,
        4.551338015021311,
        4.551355180197994,
        4.551372345374677,
        4.551389510551361,
        4.551406675728044,
        4.551424317715191,
        4.551441482891875,
        4.551458648068558,
        4.551475813245242,
        4.5514929784219245,
        4.551510143598608,
        4.551527308775292,
        4.551544950762438,
        4.551562115939122,
        4.551579281115806,
        4.551596446292489,
        4.551613611469172,
        4.5516307766458555,
        4.551647941822539,
        4.551665583809686,
        4.551682748986369,
        4.551699914163053,
        4.551717079339737,
        4.551734244516419,
        4.551751409693103,
        4.5517685748697865,
        4.55178574004647,
        4.551802905223154,
        4.5518205472103,
        4.551837712386984,
        4.551854877563667,
        4.55187204274035,
        4.5523188141445825,
        4.552335979321266,
        4.55235314449795,
        4.552370309674633,
        4.552387474851317,
        4.552404640028,
        4.552421805204683,
        4.552438970381367,
        4.55245613555805,
        4.552473300734734,
        4.552490465911417,
        4.5525076310881,
        4.552524796264784,
        4.5525419614414675,
        4.552559126618151,
        4.552576291794834,
        4.552593456971517,
        4.552610622148201,
        4.552627787324885,
        4.552644952501568,
        4.552662117678251,
        4.5526792828549345,
        4.552696448031618,
        4.552713613208302,
        4.552730778384985,
        4.552747943561668,
        4.552765108738352,
        4.552781797104572,
        4.552798962281256,
        4.552816127457938,
        4.552833292634622,
        4.552850457811306,
        4.552867622987989,
        4.552884788164673,
        4.5529019533413555,
        4.552919118518039,
        4.552936283694723,
        4.55309029347441,
        4.553107458651094,
        4.5531246238277765,
        4.553141312193997,
        4.553158477370681,
        4.553175642547364,
        4.553192807724047,
        4.5532099729007305,
        4.553227138077414,
        4.553244303254098,
        4.553260991620317,
        4.553278156797001,
        4.5532953219736845,
        4.553312487150368,
        4.553329652327051,
        4.553346817503734,
        4.553363505869955,
        4.553380671046638,
        4.553397836223321,
        4.553415001400005,
        4.553432166576688,
        4.553449331753372,
        4.553466020119592,
        4.553483185296275,
        4.553500350472959,
        4.553517515649642,
        4.553534680826325,
        4.5535513691925456,
        4.553568534369229,
        4.553585699545912,
        4.5536028647225955,
        4.553620029899279,
        4.553636718265499,
        4.553653883442182,
        4.553671048618866,
        4.5536882137955494,
        4.553704902161769,
        4.553722067338453,
        4.553739232515136,
        4.55375639769182,
        4.553773086058039,
        4.553790251234723,
        4.553807416411407,
        4.55382458158809,
        4.55384126995431,
        4.553858435130993,
        4.553875600307677,
        4.55389276548436,
        4.55390945385058,
        4.553926619027264,
        4.5539437842039465,
        4.55396094938063,
        4.553977637746851,
        4.5553193823909375,
        4.556661127035025,
        4.556681629884953,
        4.556701655924417,
        4.5567216819638805,
        4.5567421848138085,
        4.556762210853273,
        4.5567827137032,
        4.556802739742664,
        4.556823242592591,
        4.556843268632055,
        4.557025410229085,
        4.557045436268549,
        4.557065939118476,
        4.55708596515794,
        4.557106468007867,
        4.557126494047331,
        4.557146520086795,
        4.557167022936723,
        4.557187048976187,
        4.557207551826115,
        4.557227577865579,
        4.557247603905043,
        4.55726810675497,
        4.557288132794434,
        4.557308158833898,
        4.557328661683825,
        4.557348687723289,
        4.557369190573216,
        4.55738921661268,
        4.557409242652144,
        4.5574297455020725,
        4.5574497715415365,
        4.557469797581,
        4.557490300430928,
        4.557510326470392,
        4.557530352509856,
        4.557550855359783,
        4.557570881399247,
        4.557590907438711,
        4.557611410288638,
        4.557631436328102,
        4.557651462367566,
        4.55767148840703,
        4.557691991256958,
        4.557712017296422,
        4.557732043335886,
        4.557752546185813,
        4.557772572225277,
        4.557792598264741,
        4.557812624304205,
        4.557833127154132,
        4.557853153193596,
        4.55787317923306,
        4.557893682082988,
        4.557913708122452,
        4.557933734161916,
        4.5579537602013795,
        4.557974263051308,
        4.557994289090772,
        4.558014315130236,
        4.5580343411697,
        4.558054844019627,
        4.558074870059091,
        4.558094896098555,
        4.558114922138019,
        4.558134948177483,
        4.55815545102741,
        4.558175477066874,
        4.558195503106338,
        4.558215529145802,
        4.5582355551852665,
        4.558256058035194,
        4.558276084074658,
        4.558296110114122,
        4.558316136153586,
        4.55833616219305,
        4.558356665042977,
        4.558376691082441,
        4.558396717121905,
        4.558416743161369,
        4.55905948366607,
        4.559079509705534,
        4.559099535744998,
        4.559119561784462,
        4.5591395878239265,
        4.5591596138633905,
        4.559179639902855,
        4.559199665942319,
        4.559219691981783,
        4.559239718021247,
        4.559259744060711,
        4.559280246910638,
        4.559300272950102,
        4.559320298989566,
        4.55934032502903,
        4.559360351068494,
        4.559380377107958,
        4.559400403147421,
        4.559420429186885,
        4.559440455226349,
        4.5594604812658135,
        4.5594805073052775,
        4.559500533344742,
        4.559520559384206,
        4.55954058542367,
        4.559560611463134,
        4.559580637502598,
        4.559600186731599,
        4.559620212771062,
        4.559640238810526,
        4.55966026484999,
        4.559680290889454,
        4.559700316928918,
        4.559720342968382,
        4.559740369007846,
        4.55976039504731,
        4.559780421086774,
        4.559800447126238,
        4.559820473165702,
        4.559840499205166,
        4.5598605252446305,
        4.5598805512840945,
        4.559900577323559,
        4.559920603363023,
        4.559940629402486,
        4.559960178631487,
        4.559980204670951,
        4.560000230710415,
        4.560020256749879,
        4.560040282789343,
        4.560060308828807,
        4.560080334868271,
        4.560100360907735,
        4.560120386947199,
        4.560139936176199,
        4.560159962215663,
        4.560179988255127,
        4.560200014294591,
        4.560220040334055,
        4.560240066373519,
        4.5602600924129835,
        4.5602801184524475,
        4.560299667681448,
        4.560319693720912,
        4.560339719760376,
        4.56035974579984,
        4.560379771839304,
        4.560399797878768,
        4.560419347107769,
        4.560439373147232,
        4.560459399186696,
        4.56047942522616,
        4.560499451265624,
        4.560519477305088,
        4.560539026534089,
        4.560559052573553,
        4.560579078613017,
        4.560599104652481,
        4.560619130691945,
        4.561017267428907,
        4.561037293468371,
        4.561056842697372,
        4.561076868736836,
        4.5610968947763,
        4.561116920815764,
        4.561136470044764,
        4.561156496084228,
        4.561176522123692,
        4.561196071352693,
        4.561216097392157,
        4.561236123431621,
        4.5612556726606215,
        4.5612756987000855,
        4.56129572473955,
        4.5613152739685505,
        4.561335300008015,
        4.561355326047479,
        4.561374875276479,
        4.561394901315943,
        4.561414927355407,
        4.561434476584408,
        4.561454502623872,
        4.561474528663336,
        4.561494077892336,
        4.5615141039318,
        4.561534129971264,
        4.561553679200265,
        4.561573705239729,
        4.561593731279192,
        4.561613280508193,
        4.561633306547657,
        4.561653332587121,
        4.561672881816122,
        4.561692907855585,
        4.561712457084586,
        4.56173248312405,
        4.561752509163514,
        4.561772058392514,
        4.561792084431978,
        4.561811633660979,
        4.561831659700443,
        4.561851685739907,
        4.5618712349689075,
        4.5618912610083715,
        4.561910810237372,
        4.5619308362768365,
        4.561950385505837,
        4.561970411545301,
        4.561990437584765,
        4.562009986813766,
        4.56203001285323,
        4.56204956208223,
        4.562069588121694,
        4.562089137350695,
        4.562109163390159,
        4.56212871261916,
        4.562148738658623,
        4.562168764698087,
        4.562188313927088,
        4.562208339966552,
        4.562227889195552,
        4.562247915235016,
        4.562267464464017,
        4.562287490503481,
        4.562307039732482,
        4.562327065771945,
        4.562346615000946,
        4.56236664104041,
        4.562386190269411,
        4.562406216308874,
        4.562425765537875,
        4.562445791577339,
        4.56246534080634,
        4.562485366845804,
        4.562504916074804,
        4.562524942114268,
        4.562544491343269,
        4.562564517382733,
        4.562584066611733,
        4.562603615840734,
        4.562623641880198,
        4.562643191109198,
        4.562663217148662,
        4.562682766377663,
        4.562702792417127,
        4.562722341646127,
        4.562742367685591,
        4.562761916914592,
        4.562781466143592,
        4.562801492183056,
        4.563156715978311,
        4.563176265207312,
        4.563196291246776,
        4.563215840475776,
        4.563235389704777,
        4.563255415744241,
        4.563274964973241,
        4.563294514202242,
        4.563314540241706,
        4.563334089470707,
        4.563353638699707,
        4.563373664739171,
        4.563393213968172,
        4.563412763197172,
        4.563432789236636,
        4.563452338465637,
        4.563471887694637,
        4.563491913734101,
        4.563511462963102,
        4.563531012192102,
        4.563551038231566,
        4.563570587460567,
        4.563590136689568,
        4.563609685918568,
        4.563629711958032,
        4.563649261187033,
        4.563668810416033,
        4.563688836455497,
        4.563708385684498,
        4.563727934913498,
        4.563747484142499,
        4.563767510181963,
        4.563787059410963,
        4.563806608639964,
        4.563826157868965,
        4.563846183908429,
        4.563865733137429,
        4.56388528236643,
        4.56390483159543,
        4.563924857634894,
        4.563944406863895,
        4.563963956092895,
        4.563983505321896,
        4.56400353136136,
        4.564023080590361,
        4.564042629819361,
        4.564062179048362,
        4.564081728277362,
        4.564101754316826,
        4.564121303545827,
        4.564140852774827,
        4.564160402003828,
        4.564179951232829,
        4.564199977272292,
        4.564219526501293,
        4.564239075730294,
        4.564258624959294,
        4.564278174188295,
        4.564297723417295,
        4.564317749456759,
        4.56433729868576,
        4.56435684791476,
        4.564376397143761,
        4.564395946372762,
        4.564415495601762,
        4.564435521641226,
        4.564455070870227,
        4.564474620099227,
        4.564494169328228,
        4.564513718557228,
        4.564533267786229,
        4.56455281701523,
        4.56457236624423,
        4.564592392283694,
        4.564611941512695,
        4.564631490741695,
        4.564651039970696,
        4.564670589199696,
        4.564690138428697,
        4.564709687657698,
        4.564729236886698,
        4.564748786115699,
        4.564768812155163,
        4.564788361384163,
        4.564807910613164,
        4.564827459842164,
        4.564847009071165,
        4.5648665583001655,
        4.564886107529166,
        4.5649056567581665,
        4.565355765835643,
        4.565375315064643,
        4.565394864293644,
        4.565414413522644,
        4.565433962751645,
        4.565453511980645,
        4.565473061209646,
        4.565492610438647,
        4.565511682857184,
        4.565531232086184,
        4.565550781315185,
        4.565570330544186,
        4.565589879773186,
        4.565609429002187,
        4.565628978231187,
        4.565648527460188,
        4.565668076689188,
        4.565687625918189,
        4.56570717514719,
        4.56572672437619,
        4.565746273605191,
        4.565765822834191,
        4.565785372063192,
        4.565804921292193,
        4.56582399371073,
        4.56584354293973,
        4.565863092168731,
        4.565960838313734,
        4.565980387542734,
        4.5659999367717345,
        4.5660190091902715,
        4.566038558419272,
        4.5660581076482725,
        4.566077656877273,
        4.566097206106274,
        4.566116755335274,
        4.566136304564275,
        4.566155376982812,
        4.566174926211813,
        4.566194475440813,
        4.566214024669814,
        4.566233573898814,
        4.566253123127815,
        4.566272195546352,
        4.566291744775353,
        4.566311294004353,
        4.566330843233354,
        4.566350392462354,
        4.566369941691355,
        4.566389014109892,
        4.566408563338893,
        4.566428112567893,
        4.566447661796894,
        4.566467211025895,
        4.566486283444432,
        4.566505832673432,
        4.566525381902433,
        4.566544931131434,
        4.566564480360434,
        4.566583552778971,
        4.566603102007972,
        4.566622651236972,
        4.566642200465973,
        4.5666612728845095,
        4.5666808221135105,
        4.5667003713425105,
        4.566719920571511,
        4.566738992990048,
        4.566758542219049,
        4.566778091448049,
        4.56679764067705,
        4.566816713095587,
        4.566836262324588,
        4.566855811553588,
        4.566875360782589,
        4.566894433201126,
        4.566913982430127,
        4.566933531659127,
        4.566953080888128,
        4.566972153306665,
        4.566991702535666,
        4.567011251764666,
        4.567030324183204,
        4.567049873412204,
        4.567069422641205,
        4.567088495059742,
        4.567108044288743,
        4.567127593517743,
        4.567147142746744,
        4.5671662151652805,
        4.5671857643942815,
        4.5672053136232815,
        4.5672243860418185,
        4.567243935270819,
        4.5672634844998194,
        4.567282556918357,
        4.567302106147357,
        4.567321655376358,
        4.567340727794895,
        4.567592483719586,
        4.567612032948586,
        4.567631582177587,
        4.5676506545961235,
        4.5676702038251245,
        4.567689276243661,
        4.567708825472662,
        4.567728374701662,
        4.567747447120199,
        4.5677669963492,
        4.567786068767737,
        4.567805617996738,
        4.567824690415275,
        4.567844239644276,
        4.567863788873276,
        4.567882861291813,
        4.567902410520814,
        4.567921482939351,
        4.567941032168352,
        4.567960104586889,
        4.56797965381589,
        4.567998726234427,
        4.568018275463427,
        4.5680373478819645,
        4.5680568971109645,
        4.568075969529502,
        4.568095518758502,
        4.568115067987503,
        4.56813414040604,
        4.56815368963504,
        4.568172762053578,
        4.568192311282578,
        4.568211383701116,
        4.568230932930116,
        4.568250005348653,
        4.568269554577654,
        4.568288626996191,
        4.568308176225192,
        4.568327248643729,
        4.568346321062266,
        4.568365870291267,
        4.5683849427098036,
        4.5684044919388045,
        4.568423564357341,
        4.5684431135863415,
        4.568462186004879,
        4.568481735233879,
        4.568500807652416,
        4.568520356881417,
        4.568539429299954,
        4.568558978528955,
        4.568578050947492,
        4.568597123366029,
        4.56861667259503,
        4.568635745013567,
        4.568655294242568,
        4.568674366661105,
        4.568693915890105,
        4.568712988308643,
        4.5687320607271795,
        4.56875160995618,
        4.568770682374717,
        4.5687902316037174,
        4.568809304022254,
        4.568828376440792,
        4.568847925669792,
        4.56886699808833,
        4.56888654731733,
        4.568905619735867,
        4.568924692154405,
        4.568944241383405,
        4.568963313801942,
        4.56898238622048,
        4.56900193544948,
        4.569021007868017,
        4.569040557097018,
        4.5690596295155546,
        4.5690787019340915,
        4.569098251163092,
        4.569117323581629,
        4.569136396000166,
        4.569155945229167,
        4.569175017647704,
        4.569194090066242,
        4.569213639295242,
        4.569232711713779,
        4.569251784132317,
        4.569271333361317,
        4.569290405779854,
        4.569309478198392,
        4.569329027427392,
        4.569348099845929,
        4.569367172264466,
        4.569386244683003,
        4.569405793912003,
        4.569424866330541,
        4.569443938749078,
        4.569463487978078,
        4.569482560396616,
        4.569501632815153,
        4.56952070523369,
        4.569540254462691,
        4.569559326881228,
        4.569578399299765,
        4.569597948528766,
        4.569617020947303,
        4.5696360933658395,
        4.569847320401139,
        4.569866392819676,
        4.569885465238213,
        4.5699045376567495,
        4.5699240868857505,
        4.569943159304287,
        4.569962231722824,
        4.569981304141362,
        4.570000376559899,
        4.570019925788899,
        4.570038998207437,
        4.570058070625974,
        4.570077143044511,
        4.570096215463048,
        4.570115287881586,
        4.570134837110586,
        4.570153909529123,
        4.57017298194766,
        4.570192054366197,
        4.570211126784734,
        4.570230199203271,
        4.570249748432272,
        4.570268820850809,
        4.570287893269346,
        4.570306965687884,
        4.570326038106421,
        4.570345110524958,
        4.570364182943495,
        4.570383732172496,
        4.5704028045910325,
        4.5704218770095695,
        4.570440949428107,
        4.570460021846644,
        4.570479094265181,
        4.570498166683718,
        4.570517239102255,
        4.570536788331256,
        4.570555860749793,
        4.57057493316833,
        4.570594005586868,
        4.570613078005405,
        4.5706321504239416,
        4.5706512228424785,
        4.570670295261016,
        4.570689367679553,
        4.57070844009809,
        4.570727512516627,
        4.570746584935164,
        4.570765657353702,
        4.570785206582702,
        4.57080427900124,
        4.570823351419777,
        4.570842423838314,
        4.570861496256851,
        4.5708805686753875,
        4.570899641093925,
        4.570918713512462,
        4.570937785930999,
        4.570956858349536,
        4.570975930768074,
        4.570995003186611,
        4.571014075605148,
        4.571033148023685,
        4.571052220442222,
        4.5710712928607595,
        4.5710903652792965,
        4.571109437697833,
        4.57112851011637,
        4.571147582534908,
        4.571166654953445,
        4.571185727371982,
        4.571204799790519,
        4.571223872209056,
        4.571242944627594,
        4.571262017046131,
        4.571281089464668,
        4.5713001618832045,
        4.571319234301742,
        4.571338306720279,
        4.571357379138816,
        4.571376451557353,
        4.571395523975891,
        4.571414596394428,
        4.571433668812965,
        4.571452741231502,
        4.571471813650039,
        4.571490886068577,
        4.57150948167665,
        4.571528554095187,
        4.571547626513724,
        4.571566698932261,
        4.571585771350798,
        4.571604843769336,
        4.571623916187873,
        4.57164298860641,
        4.571662061024947,
        4.571681133443485,
        4.5717002058620215,
        4.5717192782805585,
        4.571737873888632,
        4.571756946307169,
        4.571776018725706,
        4.571795091144244,
        4.571814163562781,
        4.571833235981318,
        4.571852308399855,
        4.571871380818392,
        4.5718904532369296,
        4.571909048845003,
        4.57192812126354,
        4.5720992962199105,
        4.572118368638448,
        4.572137441056985,
        4.572156036665059,
        4.572175109083596,
        4.572194181502133,
        4.57221325392067,
        4.572232326339208,
        4.572251398757745,
        4.5722699943658185,
        4.572289066784355,
        4.572308139202892,
        4.572327211621429,
        4.572346284039967,
        4.572364879648041,
        4.572383952066578,
        4.572403024485115,
        4.572422096903652,
        4.572440692511726,
        4.5724597649302625,
        4.5724788373488,
        4.572497909767337,
        4.572516982185874,
        4.572535577793948,
        4.572554650212485,
        4.572573722631022,
        4.57259279504956,
        4.572611390657633,
        4.5726304630761705,
        4.572649535494707,
        4.572668607913244,
        4.572687203521318,
        4.572706275939855,
        4.572725348358392,
        4.572743943966466,
        4.572763016385004,
        4.572782088803541,
        4.572801161222078,
        4.572819756830151,
        4.572838829248688,
        4.572857901667225,
        4.572876497275299,
        4.572895569693836,
        4.572914642112374,
        4.573047195421206,
        4.57306579102928,
        4.573084863447818,
        4.573103935866355,
        4.573122531474429,
        4.5731416038929655,
        4.5731606763115025,
        4.573179271919576,
        4.573198344338113,
        4.57321741675665,
        4.573236012364724,
        4.573255084783262,
        4.573274157201799,
        4.573292752809873,
        4.5733118252284095,
        4.573330420836483,
        4.57334949325502,
        4.573368565673557,
        4.573387161281631,
        4.573406233700168,
        4.573424829308242,
        4.573443901726779,
        4.5734629741453166,
        4.5734815697533895,
        4.573500642171927,
        4.573519237780001,
        4.573538310198538,
        4.573557382617075,
        4.573575978225149,
        4.573595050643686,
        4.57361364625176,
        4.5736327186702965,
        4.5736517910888335,
        4.573670386696907,
        4.573689459115445,
        4.573708054723518,
        4.573727127142056,
        4.57374572275013,
        4.573764795168667,
        4.5737833907767405,
        4.573802463195277,
        4.573821535613814,
        4.573840131221888,
        4.573859203640425,
        4.573877799248499,
        4.573896871667036,
        4.57391546727511,
        4.573934539693647,
        4.57395313530172,
        4.573972207720257,
        4.573990803328331,
        4.574009875746869,
        4.574028471354942,
        4.57404754377348,
        4.574066139381554,
        4.5740852118000905,
        4.574103807408164,
        4.574122879826701,
        4.574141475434775,
        4.574160547853312,
        4.574179143461386,
        4.574198215879923,
        4.574216811487997,
        4.5743860792025135,
        4.57440515162105,
        4.574423747229124,
        4.574442819647661,
        4.574461415255735,
        4.574480010863809,
        4.574499083282346,
        4.57451767889042,
        4.574536751308957,
        4.57455534691703,
        4.574574419335568,
        4.574593014943642,
        4.574611610551715,
        4.574630682970253,
        4.574649278578326,
        4.5746683509968635,
        4.574686946604937,
        4.57470554221301,
        4.574724614631548,
        4.574743210239622,
        4.574762282658159,
        4.574780878266233,
        4.574799473874306,
        4.5748185462928435,
        4.574837141900917,
        4.57485573750899,
        4.574874809927528,
        4.574893405535602,
        4.574912001143675,
        4.574931073562213,
        4.5749496691702864,
        4.574968741588823,
        4.574987337196897,
        4.57500593280497,
        4.575025005223508,
        4.575043600831582,
        4.575062196439655,
        4.5750812688581926,
        4.575099864466266,
        4.575118460074339,
        4.575137532492877,
        4.575156128100951,
        4.575174723709024,
        4.575193319317098,
        4.575212391735635,
        4.5752309873437085,
        4.575249582951782,
        4.575268655370319,
        4.575287250978393,
        4.575305846586467,
        4.575324919005004,
        4.575343514613078,
        4.5753621102211515,
        4.575380705829225,
        4.575399778247762,
        4.575418373855836,
        4.57543696946391,
        4.575455565071984,
        4.575474637490521,
        4.5754932330985945,
        4.575511828706668,
        4.575530424314742,
        4.575549496733279,
        4.575568092341353,
        4.575586687949427,
        4.5756052835575005,
        4.5756243559760374,
        4.575642951584111,
        4.575661547192185,
        4.575680142800258,
        4.575699215218796,
        4.575717810826869,
        4.575736406434943,
        4.575755002043016,
        4.57577359765109,
        4.575792670069627,
        4.575811265677701,
        4.575829861285775,
        4.575848456893849,
        4.5758670525019225,
        4.575886124920459,
        4.575904720528533,
        4.575923316136607,
        4.575941911744681,
        4.575960507352755,
        4.575979102960828,
        4.5759981753793655,
        4.576016770987438,
        4.576035366595512,
        4.576053962203586,
        4.57607255781166,
        4.576091153419734,
        4.576110225838271,
        4.5761288214463445,
        4.576147417054418,
        4.576166012662492,
        4.576184608270566,
        4.57620320387864,
        4.576221799486713,
        4.5762408719052505,
        4.5762594675133235,
        4.576278063121397,
        4.576296658729471,
        4.576315254337545,
        4.576333849945619,
        4.576352445553693,
        4.576371041161766,
        4.57638963676984,
        4.576408709188377,
        4.576427304796451,
        4.576445900404525,
        4.576464496012598,
        4.576483091620672,
        4.576501687228745,
        4.576520282836819,
        4.576538878444893,
        4.576557474052967,
        4.576688120119946,
        4.57670671572802,
        4.5767253113360935,
        4.576743906944167,
        4.576762502552241,
        4.576781098160315,
        4.576799693768388,
        4.576818289376462,
        4.576836884984536,
        4.576855480592609,
        4.576874076200683,
        4.576892671808757,
        4.576911267416831,
        4.576929863024905,
        4.576948458632978,
        4.576967054241051,
        4.576985649849125,
        4.577004245457199,
        4.577022841065273,
        4.577041436673347,
        4.5770600322814206,
        4.5770786278894935,
        4.577097223497567,
        4.577115819105641,
        4.577134414713715,
        4.577153010321789,
        4.577171605929863,
        4.577190201537936,
        4.57720879714601,
        4.577227392754083,
        4.577245988362157,
        4.577264583970231,
        4.577283179578305,
        4.5773017751863785,
        4.577320370794452,
        4.577338489592062,
        4.577357085200136,
        4.57737568080821,
        4.577394276416284,
        4.577412872024357,
        4.577431467632431,
        4.577450063240505,
        4.577468658848578,
        4.577487254456652,
        4.577505850064726,
        4.5775244456727995,
        4.577543041280873,
        4.577561636888947,
        4.577579755686557,
        4.577598351294631,
        4.577616946902705,
        4.577635542510778,
        4.577654138118852,
        4.577672733726926,
        4.577691329335,
        4.577709924943073,
        4.577728520551147,
        4.577746639348757,
        4.577765234956831,
        4.577783830564904,
        4.577802426172978,
        4.577821021781052,
        4.577839617389126,
        4.577858212997199,
        4.577876331794809,
        4.577894927402883,
        4.577913523010957,
        4.577932118619031,
        4.5779507142271045,
        4.577969309835178,
        4.577987428632788,
        4.578006024240862,
        4.578024619848936,
        4.57804321545701,
        4.5780618110650835,
        4.578080406673157,
        4.578098525470767,
        4.578117121078841,
        4.578135716686915,
        4.578154312294989,
        4.578172907903062,
        4.578191026700672,
        4.578209622308746,
        4.57822821791682,
        4.578246813524894,
        4.5782649323225035,
        4.578283527930577,
        4.578302123538651,
        4.578320719146725,
        4.578339314754799,
        4.578357433552409,
        4.5783760291604825,
        4.578394624768556,
        4.57841322037663,
        4.57843133917424,
        4.578449934782314,
        4.578468530390388,
        4.578487125998461,
        4.578505244796072,
        4.578523840404145,
        4.578542436012219,
        4.578561031620293,
        4.578579150417903,
        4.578597746025977,
        4.57861634163405,
        4.578634460431661,
        4.578653056039735,
        4.5786716516478085,
        4.578690247255882,
        4.578708366053492,
        4.578726961661566,
        4.57874555726964,
        4.57876367606725,
        4.5787822716753235,
        4.578800867283397,
        4.578818986081008,
        4.578837581689081,
        4.578856177297155,
        4.578874772905229,
        4.578892891702839,
        4.579003511730354,
        4.579022107338428,
        4.579040226136039,
        4.579058821744113,
        4.5790774173521855,
        4.579095536149796,
        4.57911413175787,
        4.579132727365944,
        4.579150846163554,
        4.5791694417716275,
        4.579188037379701,
        4.579206156177311,
        4.579224751785385,
        4.579242870582996,
        4.5792614661910696,
        4.579280061799143,
        4.579298180596753,
        4.579316776204827,
        4.579334895002437,
        4.579353490610511,
        4.5793720862185845,
        4.579390205016195,
        4.579408800624269,
        4.579426919421879,
        4.579445515029953,
        4.5794641106380265,
        4.579482229435636,
        4.57950082504371,
        4.579518943841321,
        4.579537539449395,
        4.5795556582470045,
        4.579574253855078,
        4.579592372652688,
        4.579610968260762,
        4.579629563868836,
        4.5796476826664465,
        4.57966627827452,
        4.57968439707213,
        4.579702992680204,
        4.579721111477814,
        4.579739707085888,
        4.579757825883498,
        4.579776421491572,
        4.579794540289182,
        4.579813135897256,
        4.5798312546948665,
        4.57984985030294,
        4.57986796910055,
        4.579886564708624,
        4.579904683506234,
        4.579923279114308,
        4.579941397911918,
        4.579959993519992,
        4.579978112317602,
        4.579996707925676,
        4.5800148267232865,
        4.5800334223313595,
        4.58005154112897,
        4.5801983987517065,
        4.580216517549316,
        4.58023511315739,
        4.580253231955,
        4.580271827563074,
        4.5802899463606845,
        4.580308541968758,
        4.580326660766368,
        4.580345256374442,
        4.580363375172053,
        4.5803814939696625,
        4.580400089577736,
        4.580418208375346,
        4.58043680398342,
        4.580454922781031,
        4.5804730415786405,
        4.580491637186714,
        4.580509755984325,
        4.580528351592399,
        4.580546470390009,
        4.580564589187619,
        4.580583184795693,
        4.580601303593303,
        4.580619899201377,
        4.580638017998987,
        4.580656136796597,
        4.580674732404671,
        4.580692851202281,
        4.580710969999892,
        4.580729565607966,
        4.5807476844055754,
        4.580765803203186,
        4.58078439881126,
        4.58080251760887,
        4.580821113216944,
        4.5808392320145535,
        4.580857350812164,
        4.580875946420238,
        4.580894065217848,
        4.5809121840154585,
        4.580930779623532,
        4.580948898421142,
        4.580967017218753,
        4.580985136016363,
        4.5810037316244365,
        4.581021850422047,
        4.581039969219657,
        4.581058564827731,
        4.581076683625342,
        4.581094802422951,
        4.581113398031025,
        4.581131516828636,
        4.581149635626246,
        4.5811677544238565,
        4.581186350031929,
        4.58120446882954,
        4.58122258762715,
        4.581241183235224,
        4.581332254033739,
        4.581350372831349,
        4.581368491628959,
        4.581387087237033,
        4.581405206034644,
        4.581423324832254,
        4.581441443629864,
        4.581460039237938,
        4.581478158035548,
        4.581496276833159,
        4.5815143956307685,
        4.581532991238842,
        4.581551110036452,
        4.581569228834063,
        4.5815873476316735,
        4.581605466429283,
        4.581624062037357,
        4.581642180834967,
        4.581660299632578,
        4.5816784184301875,
        4.581696537227798,
        4.581715132835872,
        4.581733251633482,
        4.581751370431093,
        4.581769489228702,
        4.581787608026313,
        4.581806203634387,
        4.581824322431997,
        4.5818424412296075,
        4.581860560027217,
        4.581878678824828,
        4.581896797622438,
        4.581915393230512,
        4.581933512028122,
        4.581951630825732,
        4.581969749623343,
        4.581987868420953,
        4.5820059872185634,
        4.582024106016173,
        4.582042701624247,
        4.582060820421858,
        4.582078939219468,
        4.582097058017078,
        4.582115176814688,
        4.582133295612299,
        4.582151414409909,
        4.582169533207519,
        4.582188128815593,
        4.582206247613203,
        4.582224366410814,
        4.582242485208424,
        4.582260604006034,
        4.582278722803644,
        4.582296841601255,
        4.582314960398865,
        4.582333079196475,
        4.582351197994085,
        4.582369316791696,
        4.58238791239977,
        4.5824060311973795,
        4.58242414999499,
        4.5824422687926,
        4.582460387590211,
        4.582478506387821,
        4.582496625185431,
        4.582514743983041,
        4.582532862780652,
        4.582550981578262,
        4.582569100375872,
        4.582587219173482,
        4.582605337971093,
        4.582623456768703,
        4.5826415755663135,
        4.582659694363923,
        4.582677813161534,
        4.582695931959144,
        4.5827140507567545,
        4.582732169554364,
        4.582750288351975,
        4.582768407149585,
        4.582786525947196,
        4.582804644744805,
        4.582822763542416,
        4.582840882340027,
        4.582859001137637,
        4.582877119935247,
        4.582895238732857,
        4.582913357530468,
        4.582931476328078,
        4.5829495951256884,
        4.582967713923298,
        4.582985832720909,
        4.583003951518519,
        4.5830220703161295,
        4.583040189113739,
        4.58305830791135,
        4.58307642670896,
        4.583094545506571,
        4.58311266430418,
        4.583130783101791,
        4.583148901899401,
        4.583167020697012,
        4.5831851394946215,
        4.583203258292232,
        4.583221377089842,
        4.583239495887453,
        4.5832576146850625,
        4.583275733482673,
        4.58329337546982,
        4.583311494267431,
        4.5833296130650405,
        4.583347731862651,
        4.583365850660261,
        4.583383969457872,
        4.583402088255482,
        4.583420207053092,
        4.583438325850702,
        4.583456444648313,
        4.5834740866354595,
        4.583492205433069,
        4.58351032423068,
        4.58352844302829,
        4.583546561825901,
        4.58356468062351,
        4.583582799421121,
        4.583600918218731,
        4.58369103539632,
        4.583709154193929,
        4.58372727299154,
        4.583744914978687,
        4.583763033776297,
        4.583781152573907,
        4.583799271371517,
        4.583817390169128,
        4.583835508966738,
        4.583853150953885,
        4.583871269751495,
        4.583889388549106,
        4.583907507346716,
        4.583925626144326,
        4.583943744941936,
        4.583961386929083,
        4.583979505726694,
        4.5839976245243035,
        4.584015743321914,
        4.584033862119524,
        4.584051504106671,
        4.584069622904281,
        4.584087741701892,
        4.584105860499502,
        4.584123979297113,
        4.584141621284259,
        4.584159740081869,
        4.58417785887948,
        4.58419597767709,
        4.5842136196642365,
        4.584231738461847,
        4.584249857259457,
        4.584267976057068,
        4.584285618044214,
        4.584303736841825,
        4.584321855639435,
        4.584339974437046,
        4.584357616424192,
        4.584375735221802,
        4.584393854019413,
        4.584411972817023,
        4.58442961480417,
        4.58444773360178,
        4.584465852399391,
        4.584483494386538,
        4.584501613184147,
        4.584519731981758,
        4.584537850779368,
        4.584555492766515,
        4.584573611564125,
        4.584591730361735,
        4.584609372348883,
        4.584627491146493,
        4.584645609944103,
        4.58466325193125,
        4.58468137072886,
        4.5846994895264706,
        4.58471760832408,
        4.584735250311227,
        4.584753369108838,
        4.5847714879064485,
        4.584789129893595,
        4.584807248691205,
        4.584825367488816,
        4.5848430094759625,
        4.584861128273572,
        4.58487877026072,
        4.58489688905833,
        4.58491500785594,
        4.584932649843087,
        4.584950768640697,
        4.584968887438308,
        4.584986529425454,
        4.585004648223064,
        4.585022767020675,
        4.585040409007822,
        4.585058527805432,
        4.585076169792579,
        4.585094288590189,
        4.5851124073878,
        4.585130049374946,
        4.585148168172556,
        4.585165810159704,
        4.5851839289573135,
        4.585202047754924,
        4.585219689742071,
        4.585237808539681,
        4.585255450526828,
        4.585273569324438,
        4.585291688122049,
        4.585309330109196,
        4.585327448906805,
        4.585345090893952,
        4.585363209691563,
        4.58538085167871,
        4.58539897047632,
        4.58541708927393,
        4.585434731261077,
        4.5854528500586875,
        4.585470492045834,
        4.585488610843444,
        4.585506252830592,
        4.5855243716282015,
        4.585542013615348,
        4.585560132412959,
        4.585578251210569,
        4.585595893197715,
        4.585614011995326,
        4.585631653982473,
        4.585649772780084,
        4.58566741476723,
        4.58568553356484,
        4.585703175551987,
        4.5857212943495975,
        4.585738936336744,
        4.585757055134355,
        4.585774697121502,
        4.5857928159191115,
        4.585810457906258,
        4.585828576703869,
        4.585846218691016,
        4.585864337488626,
        4.585881979475773,
        4.585900098273383,
        4.58591774026053,
        4.585935382247677,
        4.585953501045287,
        4.585971143032434,
        4.585989261830044,
        4.586006903817191,
        4.586096544184316,
        4.5861141861714625,
        4.586131828158609,
        4.58614994695622,
        4.586167588943367,
        4.5861857077409764,
        4.586203349728124,
        4.586221468525734,
        4.586239110512881,
        4.586256752500027,
        4.586274871297638,
        4.586292513284785,
        4.586310632082395,
        4.586328274069542,
        4.586345916056689,
        4.586364034854299,
        4.586381676841446,
        4.586399795639056,
        4.586417437626203,
        4.5864350796133495,
        4.58645319841096,
        4.586470840398107,
        4.586488959195718,
        4.586506601182864,
        4.586524243170011,
        4.586542361967621,
        4.5865600039547685,
        4.586577645941915,
        4.586595764739525,
        4.586613406726672,
        4.586631048713819,
        4.586649167511429,
        4.586666809498576,
        4.586684451485723,
        4.586702570283333,
        4.58672021227048,
        4.586738331068091,
        4.586755973055237,
        4.586773615042384,
        4.586791257029531,
        4.5868093758271415,
        4.586827017814288,
        4.586844659801435,
        4.586862778599045,
        4.586880420586192,
        4.586898062573339,
        4.586916181370949,
        4.586933823358096,
        4.586951465345243,
        4.586969584142853,
        4.58698722613,
        4.5870048681171465,
        4.587022510104294,
        4.587040628901904,
        4.587058270889051,
        4.587075912876197,
        4.587094031673808,
        4.587111673660955,
        4.5871293156481014,
        4.587146957635248,
        4.587165076432859,
        4.587182718420006,
        4.587200360407152,
        4.587218002394299,
        4.58723612119191,
        4.587253763179056,
        4.587271405166203,
        4.58728904715335,
        4.5873071659509606,
        4.587466897456209,
        4.587484539443356,
        4.587502181430502,
        4.587519823417649,
        4.587537465404797,
        4.5875555842024065,
        4.587573226189553,
        4.5875908681767,
        4.5876085101638475,
        4.587626152150994,
        4.587643794138141,
        4.587661912935751,
        4.587679554922898,
        4.587697196910045,
        4.587714838897192,
        4.5877324808843385,
        4.587750122871485,
        4.587768241669096,
        4.587785883656243,
        4.587803525643389,
        4.587821167630536,
        4.587838809617683,
        4.58785645160483,
        4.58787457040244,
        4.587892212389587,
        4.587909854376734,
        4.587927496363881,
        4.587945138351028,
        4.587962780338175,
        4.587980422325321,
        4.587998064312468,
        4.588016183110079,
        4.5880338250972255,
        4.588051467084372,
        4.588069109071519,
        4.588086751058666,
        4.588104393045812,
        4.58812203503296,
        4.588139677020107,
        4.588157319007253,
        4.5881749609944,
        4.588193079792011,
        4.5882107217791575,
        4.588228363766304,
        4.588246005753451,
        4.588263647740598,
        4.588281289727744,
        4.588298931714892,
        4.588316573702039,
        4.588334215689185,
        4.588351857676332,
        4.588369499663479,
        4.588457709599213,
        4.58847535158636,
        4.588493470383971,
        4.588511112371117,
        4.588528754358264,
        4.588546396345411,
        4.588564038332557,
        4.588581680319705,
        4.588599322306852,
        4.5886169642939985,
        4.588634606281145,
        4.588652248268292,
        4.588669890255439,
        4.588687532242585,
        4.588705174229733,
        4.58872281621688,
        4.588740458204026,
        4.588758100191173,
        4.58877574217832,
        4.5887933841654664,
        4.588811026152614,
        4.588828668139761,
        4.5888463101269075,
        4.588863952114054,
        4.588881117290738,
        4.5888987592778845,
        4.588916401265031,
        4.588934043252178,
        4.588951685239325,
        4.588969327226472,
        4.588986969213619,
        4.589004611200766,
        4.589022253187912,
        4.589039895175059,
        4.589057537162206,
        4.589075179149353,
        4.5890928211365,
        4.589110463123647,
        4.5891281051107935,
        4.58914574709794,
        4.589163389085087,
        4.5891805542617705,
        4.589198196248917,
        4.589215838236065,
        4.5892334802232115,
        4.589251122210358,
        4.589268764197505,
        4.589286406184652,
        4.589304048171798,
        4.589321690158945,
        4.589339332146093,
        4.589356497322775,
        4.589374139309923,
        4.58939178129707,
        4.589409423284216,
        4.589427065271363,
        4.58944470725851,
        4.5894623492456565,
        4.589479991232804,
        4.589497156409487,
        4.5895147983966345,
        4.589532440383781,
        4.589550082370928,
        4.589567724358075,
        4.589585366345221,
        4.589603008332368,
        4.589620173509052,
        4.589637815496198,
        4.589655457483345,
        4.589673099470493,
        4.589690741457639,
        4.589708383444786,
        4.58972554862147,
        4.589743190608616,
        4.589760832595763,
        4.58977847458291,
        4.5897961165700565,
        4.58981328174674,
        4.589830923733887,
        4.5898485657210335,
        4.589866207708181,
        4.589883849695328,
        4.589901014872011,
        4.589918656859158,
        4.589936298846305,
        4.5899539408334515,
        4.589971582820598,
        4.589988747997282,
        4.590006389984429,
        4.590024031971575,
        4.590041673958722,
        4.590058839135406,
        4.590076481122552,
        4.5900941231097,
        4.590111765096847,
        4.59012893027353,
        4.590146572260677,
        4.590164214247824,
        4.59018185623497,
        4.590199021411654,
        4.590216663398801,
        4.590234305385947,
        4.590251947373094,
        4.590269112549778,
        4.590286754536924,
        4.590304396524071,
        4.590322038511219,
        4.590339203687901,
        4.590356845675049,
        4.590374487662196,
        4.590391652838879,
        4.590409294826026,
        4.590426936813173,
        4.590444578800319,
        4.590461743977003,
        4.59047938596415,
        4.590497027951296,
        4.59051419312798,
        4.590531835115127,
        4.5905494771022735,
        4.590566642278957,
        4.590584284266104,
        4.5906019262532505,
        4.590619091429934,
        4.590636733417081,
        4.590654375404228,
        4.590671540580911,
        4.590689182568058,
        4.590706824555205,
        4.590723989731888,
        4.590741631719036,
        4.590759273706182,
        4.590776438882866,
        4.590794080870013,
        4.590811722857159,
        4.590828888033843,
        4.59084653002099,
        4.590863695197673,
        4.59088133718482,
        4.590898979171967,
        4.59091614434865,
        4.590933786335797,
        4.590951428322944,
        4.590968593499627,
        4.590986235486774,
        4.591003400663458,
        4.591021042650604,
        4.591038684637751,
        4.591055849814435,
        4.591073491801581,
        4.591090656978265,
        4.591108298965412,
        4.591125940952558,
        4.591143106129242,
        4.591160748116389,
        4.591177913293072,
        4.591195555280219,
        4.591212720456903,
        4.591230362444049,
        4.591248004431196,
        4.59126516960788,
        4.591282811595026,
        4.59129997677171,
        4.591317618758857,
        4.59133478393554,
        4.591352425922687,
        4.591369591099371,
        4.591387233086517,
        4.591404398263201,
        4.591422040250348,
        4.591439682237494,
        4.591456847414178,
        4.591474489401325,
        4.591491654578008,
        4.591509296565155,
        4.5915264617418385,
        4.591544103728985,
        4.591561268905669,
        4.591578910892816,
        4.591596076069499,
        4.591613718056646,
        4.5916308832333295,
        4.591648525220476,
        4.59166569039716,
        4.5916833323843065,
        4.59170049756099,
        4.591718139548137,
        4.59173530472482,
        4.591752946711967,
        4.591770111888651,
        4.591787753875797,
        4.591804919052481,
        4.591822084229164,
        4.591839726216311,
        4.591856891392994,
        4.591874533380142,
        4.591891698556824,
        4.591909340543972,
        4.591926505720655,
        4.591944147707802,
        4.591961312884485,
        4.591978954871632,
        4.591996120048315,
        4.592013285224999,
        4.592030927212146,
        4.592048092388829,
        4.592065734375976,
        4.5920828995526595,
        4.592100541539806,
        4.59211770671649,
        4.592134871893173,
        4.59215251388032,
        4.592169679057004,
        4.59218732104415,
        4.592204486220834,
        4.592221651397518,
        4.592239293384664,
        4.592256458561347,
        4.592274100548495,
        4.592291265725177,
        4.592308430901861,
        4.592326072889008,
        4.592343238065691,
        4.592360403242375,
        4.5923780452295215,
        4.592395210406205,
        4.592412852393352,
        4.592430017570035,
        4.592447182746719,
        4.592464824733866,
        4.592481989910549,
        4.592499155087233,
        4.59251679707438,
        4.592533962251062,
        4.592551127427746,
        4.592568769414893,
        4.592585934591576,
        4.59260309976826,
        4.592620741755407,
        4.59263790693209,
        4.592655072108774,
        4.5926727140959205,
        4.592689879272604,
        4.592707044449288,
        4.592724686436434,
        4.592741851613118,
        4.592759016789801,
        4.592776658776947,
        4.592793823953631,
        4.592810989130315,
        4.592828154306998,
        4.592845796294145,
        4.5928629614708285,
        4.592880126647512,
        4.592897768634659,
        4.592914933811342,
        4.592932098988025,
        4.592949264164709,
        4.592966906151855,
        4.592984071328539,
        4.593001236505223,
        4.593018401681906,
        4.593036043669053,
        4.5930532088457365,
        4.59307037402242,
        4.593087539199103,
        4.59310518118625,
        4.593122346362933,
        4.593139511539617,
        4.5931566767163,
        4.593174318703447,
        4.593191483880131,
        4.593208649056814,
        4.593225814233498,
        4.593243456220645,
        4.593260621397327,
        4.593277786574011,
        4.5932949517506945,
        4.593312116927378,
        4.593329758914525,
        4.593346924091208,
        4.593364089267892,
        4.593381254444575,
        4.593398419621258,
        4.593416061608405,
        4.593433226785089,
        4.593450391961772,
        4.593467557138456,
        4.593484722315139,
        4.593502364302286,
        4.59351952947897,
        4.593536694655652,
        4.593553859832336,
        4.59357102500902,
        4.593588190185703,
        4.59360583217285,
        4.5936229973495335,
        4.593640162526217,
        4.5936573277029,
        4.593674492879583,
        4.593691658056267,
        4.593709300043414,
        4.593726465220097,
        4.593743630396781,
        4.5937607955734645,
        4.593777960750147,
        4.593795125926831,
        4.593812291103514,
        4.593829456280198,
        4.593847098267345,
        4.593864263444028,
        4.593881428620712,
        4.593898593797395,
        4.593915758974078,
        4.593932924150762,
        4.593950089327445,
        4.593967254504129,
        4.593984419680812,
        4.594002061667959,
        4.594019226844642,
        4.594036392021326,
        4.594053557198009,
        4.594070722374693,
        4.594087887551376,
        4.594105052728059,
        4.594122217904743,
        4.594139383081426,
        4.59415654825811,
        4.5941737134347935,
        4.594190878611476,
        4.59420804378816,
        4.594225208964843,
        4.59424285095199,
        4.594260016128674,
        4.594277181305357,
        4.594294346482041,
        4.594311511658724,
        4.594328676835407,
        4.594345842012091,
        4.594363007188774,
        4.594380172365458,
        4.594397337542141,
        4.595730976408351,
        4.597098945627926,
        4.597119448477854,
        4.597139951327781,
        4.5971604541777085,
        4.5971809570276365,
        4.597200983067101,
        4.597221485917028,
        4.597241988766955,
        4.597262491616882,
        4.59728299446681,
        4.597303497316737,
        4.597324000166664,
        4.5973445030165925,
        4.5973645290560565,
        4.597385031905984,
        4.597405534755911,
        4.597426037605838,
        4.597446540455766,
        4.597467043305693,
        4.597487069345157,
        4.597507572195084,
        4.5975280750450125,
        4.59754857789494,
        4.597569080744867,
        4.597589106784331,
        4.597609609634258,
        4.597630112484186,
        4.597650615334113,
        4.59767111818404,
        4.5976911442235044,
        4.597711647073432,
        4.59773214992336,
        4.597752652773287,
        4.597773155623214,
        4.597793181662678,
        4.597813684512606,
        4.597834187362533,
        4.59785469021246,
        4.5978747162519245,
        4.597895219101852,
        4.59791572195178,
        4.597936224801707,
        4.597956250841171,
        4.597976753691098,
        4.597997256541025,
        4.598017759390953,
        4.598037785430417,
        4.5980582882803445,
        4.598078791130272,
        4.5980992939802,
        4.598119320019664,
        4.598139822869591,
        4.598160325719518,
        4.598180351758982,
        4.598200854608909,
        4.598221357458837,
        4.5982418603087645,
        4.5982618863482285,
        4.598282389198156,
        4.598302892048083,
        4.598322918087547,
        4.598343420937475,
        4.598363923787402,
        4.598383949826866,
        4.598404452676793,
        4.5984249555267205,
        4.5984449815661845,
        4.598465484416113,
        4.59848598726604,
        4.598506013305504,
        4.598526516155431,
        4.598547019005359,
        4.598567045044822,
        4.59858754789475,
        4.598608050744677,
        4.598628076784141,
        4.598648579634069,
        4.598668605673533,
        4.598689108523461,
        4.598709611373388,
        4.598729637412852,
        4.598750140262779,
        4.598770166302243,
        4.59879066915217,
        4.598811172002098,
        4.598831198041562,
        4.5988517008914895,
        4.598871726930954,
        4.598892229780881,
        4.598912732630808,
        4.598932758670272,
        4.5989532615202,
        4.598973287559663,
        4.598993790409591,
        4.599013816449055,
        4.599034319298982,
        4.59905482214891,
        4.599074848188374,
        4.599095351038302,
        4.599115377077765,
        4.599135879927693,
        4.599155905967157,
        4.599176408817084,
        4.599196434856548,
        4.599216937706475,
        4.599236963745939,
        4.5992574665958665,
        4.599277969445795,
        4.599297995485259,
        4.599318498335186,
        4.59933852437465,
        4.599359027224577,
        4.599379053264041,
        4.599399556113968,
        4.599419582153432,
        4.59944008500336,
        4.599460111042824,
        4.5994806138927515,
        4.599500639932216,
        4.59952066597168,
        4.599541168821607,
        4.599561194861071,
        4.599581697710998,
        4.599601723750462,
        4.59962222660039,
        4.599642252639853,
        4.599662755489781,
        4.599682781529245,
        4.5997032843791725,
        4.599723310418637,
        4.599743336458101,
        4.599763839308028,
        4.599783865347492,
        4.599804368197419,
        4.599824394236883,
        4.599844897086811,
        4.599864923126275,
        4.599884949165738,
        4.599905452015666,
        4.59992547805513,
        4.599945980905058,
        4.599966006944522,
        4.599986032983986,
        4.600006535833913,
        4.600026561873377,
        4.600047064723304,
        4.600067090762768,
        4.600087116802232,
        4.60010761965216,
        4.600127645691624,
        4.600147671731087,
        4.6001681745810155,
        4.6001882006204795,
        4.600208703470407,
        4.600228729509871,
        4.600248755549335,
        4.600269258399262,
        4.600289284438726,
        4.60030931047819,
        4.600329813328117,
        4.600349839367581,
        4.600369865407045,
        4.6003903682569725,
        4.6004103942964365,
        4.6004304203359005,
        4.600450923185829,
        4.600470949225293,
        4.600490975264757,
        4.600511478114684,
        4.600531504154148,
        4.600551530193612,
        4.600571556233076,
        4.600592059083003,
        4.600612085122467,
        4.600632111161931,
        4.600652614011858,
        4.6006726400513225,
        4.6006926660907865,
        4.600712692130251,
        4.600733194980178,
        4.600753221019642,
        4.600773247059106,
        4.60079327309857,
        4.600813775948497,
        4.600833801987961,
        4.600853828027425,
        4.600873854066889,
        4.600894356916816,
        4.60091438295628,
        4.6009344089957445,
        4.6009544350352085,
        4.600974937885137,
        4.6009949639246,
        4.601014989964064,
        4.601035016003528,
        4.601055042042992,
        4.60107554489292,
        4.601095570932383,
        4.601115596971847,
        4.601135623011311,
        4.601155649050775,
        4.601176151900703,
        4.601196177940167,
        4.6012162039796305,
        4.6012362300190945,
        4.601256256058559,
        4.601276758908487,
        4.601296784947951,
        4.601316810987415,
        4.601336837026878,
        4.601356863066342,
        4.601376889105806,
        4.601397391955734,
        4.601417417995198,
        4.601437444034661,
        4.601457470074125,
        4.601477496113589,
        4.601497522153053,
        4.6015175481925175,
        4.6015375742319815,
        4.601558077081909,
        4.601578103121373,
        4.601598129160837,
        4.601618155200301,
        4.601638181239765,
        4.601658207279229,
        4.601678233318693,
        4.601698259358157,
        4.601718285397621,
        4.601738788247548,
        4.601758814287012,
        4.601778840326476,
        4.60179886636594,
        4.601818892405404,
        4.6018389184448685,
        4.6018589444843325,
        4.601878970523797,
        4.601898996563261,
        4.601919022602725,
        4.601939048642189,
        4.601959074681653,
        4.601979100721116,
        4.60199912676058,
        4.602019152800044,
        4.602039655649972,
        4.602059681689436,
        4.6020797077289,
        4.602099733768363,
        4.60227996812354,
        4.602299994163004,
        4.602320020202468,
        4.602340046241932,
        4.602360072281396,
        4.60238009832086,
        4.602400124360324,
        4.602420150399787,
        4.602440176439251,
        4.602460202478715,
        4.602480228518179,
        4.6025002545576434,
        4.602519803786644,
        4.602539829826108,
        4.6025598558655725,
        4.6025798819050365,
        4.602599907944501,
        4.602619933983964,
        4.602639960023428,
        4.602659986062892,
        4.602680012102356,
        4.60270003814182,
        4.602720064181284,
        4.602740090220748,
        4.602760116260212,
        4.602780142299676,
        4.60280016833914,
        4.602819717568141,
        4.602839743607604,
        4.602859769647068,
        4.602879795686532,
        4.602899821725996,
        4.6029198477654605,
        4.6029398738049245,
        4.602959899844389,
        4.602979925883853,
        4.602999475112854,
        4.603019501152318,
        4.603039527191781,
        4.603059553231245,
        4.603079579270709,
        4.603099605310173,
        4.603119631349637,
        4.603139180578638,
        4.603159206618102,
        4.603179232657566,
        4.60319925869703,
        4.603219284736494,
        4.603239310775957,
        4.603259336815421,
        4.603278886044422,
        4.603298912083886,
        4.60331893812335,
        4.603338964162814,
        4.6033589902022785,
        4.6033785394312785,
        4.6033985654707426,
        4.603418591510207,
        4.603438617549671,
        4.603458643589135,
        4.603478192818136,
        4.6034982188576,
        4.603518244897064,
        4.603538270936527,
        4.603558296975991,
        4.603577846204992,
        4.603597872244456,
        4.60361789828392,
        4.603637924323384,
        4.603657473552384,
        4.603677499591848,
        4.603697525631312,
        4.603717551670776,
        4.603737100899777,
        4.603757126939241,
        4.603777152978705,
        4.603797179018169,
        4.603816728247169,
        4.603836754286633,
        4.6038567803260975,
        4.6038768063655615,
        4.6038963555945625,
        4.603916381634026,
        4.60393640767349,
        4.603955956902491,
        4.603975982941955,
        4.603996008981419,
        4.604016035020883,
        4.604035584249883,
        4.604055610289347,
        4.604075636328811,
        4.604095185557812,
        4.604115211597276,
        4.60413523763674,
        4.60415478686574,
        4.604174812905204,
        4.604194838944668,
        4.604214388173669,
        4.604234414213133,
        4.604254440252597,
        4.604273989481597,
        4.604294015521061,
        4.604314041560525,
        4.604333590789526,
        4.60435361682899,
        4.604373642868454,
        4.604393192097454,
        4.604413218136918,
        4.604432767365919,
        4.604452793405383,
        4.604472819444847,
        4.6044923686738475,
        4.6045123947133115,
        4.6045319439423125,
        4.6045519699817765,
        4.604571996021241,
        4.604591545250241,
        4.604611571289705,
        4.604631120518706,
        4.60465114655817,
        4.604671172597633,
        4.604690721826634,
        4.604710747866098,
        4.604730297095099,
        4.604750323134563,
        4.604770349174026,
        4.604789898403027,
        4.604809924442491,
        4.604829473671492,
        4.604849499710955,
        4.604869048939956,
        4.60488907497942,
        4.604908624208421,
        4.604928650247885,
        4.604948676287348,
        4.604968225516349,
        4.604988251555813,
        4.605007800784814,
        4.605027826824278,
        4.605047376053278,
        4.605067402092742,
        4.605086951321743,
        4.605106977361207,
        4.605126526590207,
        4.605146552629671,
        4.605166101858672,
        4.605186127898136,
        4.605205677127136,
        4.6052257031666,
        4.605245252395601,
        4.605265278435065,
        4.605284827664065,
        4.6053048537035295,
        4.60532440293253,
        4.6053444289719945,
        4.6053639782009945,
        4.605384004240459,
        4.6054035534694595,
        4.60542310269846,
        4.605443128737924,
        4.6054626779669245,
        4.605482704006389,
        4.605502253235389,
        4.605522279274853,
        4.605541828503854,
        4.605561854543318,
        4.605581403772318,
        4.605600953001319,
        4.605620979040783,
        4.605640528269784,
        4.605660554309247,
        4.605680103538248,
        4.605699652767249,
        4.605719678806713,
        4.605739228035713,
        4.605759254075177,
        4.605778803304178,
        4.605798352533178,
        4.605818378572642,
        4.605837927801643,
        4.605857953841107,
        4.605877503070107,
        4.605897052299108,
        4.605917078338572,
        4.605936627567572,
        4.605956176796573,
        4.605976202836037,
        4.605995752065037,
        4.606015778104501,
        4.606035327333502,
        4.606054876562503,
        4.606074902601967,
        4.606094451830967,
        4.606114001059968,
        4.606134027099432,
        4.606153576328432,
        4.606173125557433,
        4.606193151596897,
        4.606212700825897,
        4.606232250054898,
        4.606252276094362,
        4.606271825323362,
        4.606291374552363,
        4.606310923781364,
        4.606330949820827,
        4.606350499049828,
        4.606370048278829,
        4.606390074318293,
        4.606409623547293,
        4.606429172776294,
        4.606448722005294,
        4.606468748044758,
        4.606488297273759,
        4.606507846502759,
        4.606527872542223,
        4.606547421771224,
        4.606566971000225,
        4.606586520229225,
        4.606606546268689,
        4.60662609549769,
        4.60664564472669,
        4.606665193955691,
        4.606685219995155,
        4.606704769224155,
        4.606724318453156,
        4.606743867682156,
        4.606763416911157,
        4.606783442950621,
        4.606802992179622,
        4.606822541408622,
        4.606842090637623,
        4.606862116677087,
        4.606881665906087,
        4.606901215135088,
        4.606920764364088,
        4.606940313593089,
        4.606960339632553,
        4.606979888861554,
        4.606999438090554,
        4.607018987319555,
        4.607038536548555,
        4.607058085777556,
        4.60707811181702,
        4.60709766104602,
        4.607117210275021,
        4.607136759504022,
        4.607156308733022,
        4.607175857962023,
        4.607195884001487,
        4.607215433230487,
        4.607234982459488,
        4.607254531688488,
        4.607274080917489,
        4.60729363014649,
        4.60731317937549,
        4.607333205414954,
        4.607352754643955,
        4.607372303872955,
        4.607391853101956,
        4.607411402330956,
        4.607430951559957,
        4.607450500788958,
        4.607470050017958,
        4.607489599246959,
        4.607509625286423,
        4.607529174515423,
        4.607548723744424,
        4.607568272973424,
        4.607587822202425,
        4.607607371431426,
        4.607626920660426,
        4.607646469889427,
        4.607666019118427,
        4.607685568347428,
        4.607705117576428,
        4.607724666805429,
        4.60774421603443,
        4.607764242073894,
        4.607783791302894,
        4.607803340531895,
        4.607822889760895,
        4.607842438989896,
        4.607861988218896,
        4.607881537447897,
        4.607901086676898,
        4.607920635905898,
        4.607940185134899,
        4.607959734363899,
        4.6079792835929,
        4.607998832821901,
        4.608018382050901,
        4.608037931279902,
        4.608057480508902,
        4.608077029737903,
        4.608096578966903,
        4.6081161281959035,
        4.6081356774249045,
        4.6081552266539045,
        4.6081747758829055,
        4.6081943251119055,
        4.6082138743409065,
        4.608233423569907,
        4.608252972798907,
        4.608272522027908,
        4.608292071256908,
        4.608311620485909,
        4.608331169714909,
        4.60835071894391,
        4.608369791362447,
        4.608389340591448,
        4.608408889820448,
        4.608428439049449,
        4.60844798827845,
        4.60846753750745,
        4.608487086736451,
        4.608506635965451,
        4.608526185194452,
        4.608545734423452,
        4.608565283652453,
        4.608584832881454,
        4.608604382110454,
        4.608623931339455,
        4.608643003757992,
        4.608662552986993,
        4.608682102215993,
        4.608701651444994,
        4.608721200673994,
        4.608740749902995,
        4.608760299131996,
        4.608779848360996,
        4.608799397589997,
        4.608818470008534,
        4.608838019237534,
        4.608857568466535,
        4.608877117695536,
        4.608896666924536,
        4.608916216153537,
        4.608935765382537,
        4.6089548378010745,
        4.608974387030075,
        4.6089939362590755,
        4.6090134854880755,
        4.6090330347170765,
        4.609052583946077,
        4.609071656364614,
        4.609091205593614,
        4.609110754822615,
        4.609130304051616,
        4.609149853280616,
        4.609169402509617,
        4.609188474928154,
        4.609208024157154,
        4.609227573386155,
        4.609247122615156,
        4.609266671844156,
        4.609285744262693,
        4.609305293491694,
        4.609324842720695,
        4.609344391949695,
        4.609363464368232,
        4.609383013597233,
        4.609402562826234,
        4.609422112055234,
        4.609441661284235,
        4.609460733702772,
        4.609480282931773,
        4.609499832160773,
        4.609519381389774,
        4.609538453808311,
        4.609558003037312,
        4.609577552266312,
        4.6095971014953125,
        4.6096161739138495,
        4.6096357231428495,
        4.6096552723718505,
        4.609829785001465,
        4.609849334230466,
        4.609868406649003,
        4.609887955878004,
        4.609907505107004,
        4.609927054336005,
        4.609946126754542,
        4.609965675983543,
        4.609985225212543,
        4.61000429763108,
        4.610023846860081,
        4.610043396089082,
        4.610062468507619,
        4.610082017736619,
        4.61010156696562,
        4.6101206393841565,
        4.610140188613157,
        4.610159261031694,
        4.610178810260695,
        4.610198359489695,
        4.610217431908232,
        4.610236981137233,
        4.610256530366234,
        4.610275602784771,
        4.610295152013771,
        4.610314224432309,
        4.610333773661309,
        4.61035332289031,
        4.610372395308847,
        4.610391944537848,
        4.610411016956385,
        4.610430566185385,
        4.610450115414386,
        4.610469187832923,
        4.610488737061924,
        4.610507809480461,
        4.6105273587094615,
        4.610546907938462,
        4.6105659803569985,
        4.610585529585999,
        4.610604602004536,
        4.610624151233537,
        4.610643223652074,
        4.610662772881075,
        4.610681845299612,
        4.610701394528612,
        4.610720943757613,
        4.61074001617615,
        4.610759565405151,
        4.610778637823688,
        4.610798187052689,
        4.610817259471226,
        4.610836808700226,
        4.610855881118764,
        4.610875430347764,
        4.610894502766301,
        4.610914051995302,
        4.6109331244138385,
        4.6109526736428394,
        4.610971746061376,
        4.610991295290377,
        4.611010367708914,
        4.611029916937914,
        4.611048989356452,
        4.611068538585452,
        4.611087611003989,
        4.61110716023299,
        4.611126232651527,
        4.611145781880528,
        4.611164854299065,
        4.611184403528066,
        4.611203475946603,
        4.611223025175603,
        4.611242097594141,
        4.6112611700126775,
        4.611280719241678,
        4.611299791660215,
        4.6113193408892155,
        4.611338413307753,
        4.611357962536753,
        4.61137703495529,
        4.611396584184291,
        4.611415656602828,
        4.611434729021365,
        4.611454278250366,
        4.611473350668903,
        4.611492899897904,
        4.611511972316441,
        4.611531044734978,
        4.611550593963979,
        4.611569666382516,
        4.611589215611517,
        4.6116082880300535,
        4.6116273604485905,
        4.611646909677591,
        4.611665982096128,
        4.611685531325128,
        4.611704603743666,
        4.611723676162203,
        4.611743225391203,
        4.611762297809741,
        4.611781370228278,
        4.611800919457278,
        4.611819991875816,
        4.611839064294353,
        4.611858613523354,
        4.611877685941891,
        4.611897235170891,
        4.6119163075894285,
        4.611935380007965,
        4.6119549292369655,
        4.611974001655503,
        4.61199307407404,
        4.61201262330304,
        4.612031695721578,
        4.612050768140115,
        4.612069840558652,
        4.612089389787653,
        4.61210846220619,
        4.612127534624727,
        4.612147083853728,
        4.612166156272265,
        4.612185228690802,
        4.6122047779198025,
        4.6122238503383395,
        4.612242922756876,
        4.612261995175413,
        4.612281544404414,
        4.612300616822951,
        4.612319689241488,
        4.612338761660026,
        4.612358310889026,
        4.612377383307563,
        4.612396455726101,
        4.612416004955101,
        4.612435077373638,
        4.612454149792176,
        4.6124732222107125,
        4.6124927714397135,
        4.61251184385825,
        4.612530916276787,
        4.612549988695324,
        4.612569061113861,
        4.612588610342862,
        4.612607682761399,
        4.612626755179936,
        4.612645827598474,
        4.612665376827474,
        4.612684449246012,
        4.612703521664549,
        4.612722594083086,
        4.6127416665016225,
        4.6127612157306235,
        4.61278028814916,
        4.612799360567697,
        4.612818432986234,
        4.612837505404772,
        4.612856577823309,
        4.612876127052309,
        4.612895199470847,
        4.612914271889384,
        4.612933344307921,
        4.612952416726458,
        4.6129714891449956,
        4.612991038373996,
        4.6130101107925325,
        4.61302918321107,
        4.613048255629607,
        4.613067328048144,
        4.613086400466681,
        4.613105472885219,
        4.613125022114219,
        4.613144094532756,
        4.613163166951294,
        4.613182239369831,
        4.613201311788368,
        4.613220384206905,
        4.6132394566254415,
        4.613258529043979,
        4.613278078272979,
        4.613297150691517,
        4.613316223110054,
        4.613335295528591,
        4.613354367947128,
        4.613373440365665,
        4.613392512784203,
        4.61341158520274,
        4.613430657621277,
        4.613449730039814,
        4.6134688024583514,
        4.613487874876888,
        4.613507424105888,
        4.613526496524426,
        4.613545568942963,
        4.6135646413615,
        4.613583713780037,
        4.613602786198574,
        4.613621858617112,
        4.613640931035649,
        4.613660003454186,
        4.613679075872723,
        4.6136981482912605,
        4.613717220709797,
        4.613736293128334,
        4.613755365546871,
        4.613774437965409,
        4.613793510383946,
        4.613812582802483,
        4.61383165522102,
        4.613850727639557,
        4.613869800058095,
        4.613888872476632,
        4.6139079448951685,
        4.6139270173137055,
        4.613946089732243,
        4.61396516215078,
        4.613984234569317,
        4.614003306987854,
        4.614022379406391,
        4.614041451824929,
        4.614060524243466,
        4.614079596662003,
        4.61409866908054,
        4.6141177414990775,
        4.614136813917614,
        4.614155886336151,
        4.614174958754688,
        4.614194031173225,
        4.614213103591763,
        4.6142321760103,
        4.614251248428837,
        4.614269844036911,
        4.614288916455448,
        4.614307988873985,
        4.6143270612925225,
        4.614346133711059,
        4.614365206129596,
        4.614384278548133,
        4.614403350966671,
        4.614422423385208,
        4.614441495803745,
        4.614460568222282,
        4.61447964064082,
        4.614498236248893,
        4.6145173086674305,
        4.614536381085967,
        4.614555453504504,
        4.614574525923041,
        4.614593598341579,
        4.614612670760116,
        4.614631743178653,
        4.614650338786727,
        4.614669411205264,
        4.614688483623801,
        4.6147075560423385,
        4.6147266284608754,
        4.614745700879412,
        4.614764773297949,
        4.614783368906023,
        4.61480244132456,
        4.614821513743098,
        4.614840586161635,
        4.614859658580172,
        4.614878730998709,
        4.614897803417246,
        4.6149163990253195,
        4.614935471443857,
        4.614954543862394,
        4.614973616280931,
        4.614992688699468,
        4.615011284307542,
        4.615030356726079,
        4.615049429144617,
        4.615068501563154,
        4.615087573981691,
        4.615106169589764,
        4.615125242008301,
        4.615144314426838,
        4.615163386845376,
        4.615182459263913,
        4.615201054871987,
        4.615220127290524,
        4.615239199709061,
        4.615258272127598,
        4.6152768677356715,
        4.615295940154208,
        4.615315012572746,
        4.615334084991283,
        4.615352680599357,
        4.615371753017894,
        4.615390825436431,
        4.615409897854968,
        4.615428493463042,
        4.615447565881579,
        4.615466638300116,
        4.615485710718653,
        4.615504306326727,
        4.615523378745264,
        4.615542451163801,
        4.615561046771875,
        4.615580119190412,
        4.61559919160895,
        4.6156182640274865,
        4.61563685963556,
        4.615655932054097,
        4.615675004472634,
        4.615693600080708,
        4.615712672499245,
        4.615731744917782,
        4.615750340525856,
        4.615769412944394,
        4.6157884853629305,
        4.615807080971004,
        4.615826153389541,
        4.615845225808078,
        4.615863821416152,
        4.615882893834689,
        4.615901966253226,
        4.6159205618613,
        4.6159396342798376,
        4.6159587066983745,
        4.615977302306448,
        4.615996374724985,
        4.616015447143522,
        4.616034042751596,
        4.616053115170133,
        4.616071710778207,
        4.616090783196744,
        4.616109855615281,
        4.6161284512233545,
        4.616147523641892,
        4.616166596060429,
        4.616185191668503,
        4.61620426408704,
        4.616222859695114,
        4.616241932113651,
        4.616261004532188,
        4.6162796001402615,
        4.616298672558798,
        4.616317268166872,
        4.616336340585409,
        4.616354936193483,
        4.616374008612021,
        4.616393081030558,
        4.616411676638632,
        4.6164307490571685,
        4.616449344665242,
        4.616468417083779,
        4.616487012691853,
        4.61650608511039,
        4.616525157528927,
        4.616543753137001,
        4.616562825555538,
        4.616581421163612,
        4.6166004935821485,
        4.616619089190222,
        4.61663816160876,
        4.616656757216833,
        4.616675829635371,
        4.616694425243444,
        4.616713497661982,
        4.6167320932700555,
        4.6167511656885925,
        4.616769761296666,
        4.616788833715203,
        4.616807429323277,
        4.616826501741814,
        4.616845097349888,
        4.616864169768425,
        4.6168827653764986,
        4.6169018377950355,
        4.616920433403109,
        4.616939505821646,
        4.61695810142972,
        4.616977173848257,
        4.616995769456331,
        4.617014841874868,
        4.617033437482942,
        4.617052509901479,
        4.617071105509552,
        4.61709017792809,
        4.617108773536164,
        4.617127369144237,
        4.617146441562775,
        4.617165037170849,
        4.6171841095893855,
        4.617202705197459,
        4.617221777615996,
        4.61724037322407,
        4.617258968832144,
        4.617278041250681,
        4.617296636858755,
        4.617315709277292,
        4.617484500181345,
        4.617503572599882,
        4.617522168207956,
        4.61754076381603,
        4.617559836234567,
        4.617578431842641,
        4.617597504261178,
        4.6176160998692515,
        4.617634695477325,
        4.617653767895862,
        4.617672363503936,
        4.61769095911201,
        4.617710031530547,
        4.617728627138621,
        4.6177472227466945,
        4.617766295165231,
        4.617784890773305,
        4.617803486381379,
        4.617822558799916,
        4.61784115440799,
        4.617859750016064,
        4.617878822434601,
        4.617897418042674,
        4.617916013650748,
        4.617935086069285,
        4.617953681677359,
        4.617972277285433,
        4.617990872893507,
        4.618009945312044,
        4.618028540920117,
        4.61804713652819,
        4.618066208946728,
        4.618084804554802,
        4.618103400162875,
        4.618121995770949,
        4.6181410681894866,
        4.6181596637975595,
        4.618178259405633,
        4.618197331824171,
        4.618215927432244,
        4.618234523040318,
        4.618253118648392,
        4.618272191066929,
        4.6182907866750025,
        4.618309382283076,
        4.61832797789115,
        4.618347050309687,
        4.618365645917761,
        4.618384241525835,
        4.6184028371339085,
        4.618421432741982,
        4.618440505160519,
        4.618459100768593,
        4.618477696376667,
        4.61849629198474,
        4.618515364403278,
        4.6185339600113515,
        4.6185525556194245,
        4.618571151227498,
        4.618589746835572,
        4.618608819254109,
        4.618627414862183,
        4.618646010470257,
        4.6186646060783305,
        4.618683201686404,
        4.618701797294478,
        4.618720869713015,
        4.618739465321089,
        4.618758060929163,
        4.618776656537237,
        4.6187952521453095,
        4.618813847753383,
        4.618832920171921,
        4.618851515779994,
        4.618870111388068,
        4.618888706996142,
        4.618907302604216,
        4.618925898212289,
        4.618944493820363,
        4.6189635662389,
        4.618982161846974,
        4.619000757455048,
        4.619019353063122,
        4.619037948671195,
        4.619056544279268,
        4.619075139887342,
        4.619093735495416,
        4.619112807913953,
        4.619131403522027,
        4.619149999130101,
        4.619168594738174,
        4.619187190346248,
        4.619205785954322,
        4.619224381562396,
        4.619242977170469,
        4.619261572778543,
        4.6192801683866165,
        4.61929876399469,
        4.619317359602764,
        4.619336432021301,
        4.619355027629375,
        4.619373623237449,
        4.6193922188455225,
        4.619410814453596,
        4.619429410061669,
        4.619448005669743,
        4.619466601277817,
        4.619485196885891,
        4.619503792493965,
        4.619522388102038,
        4.619540983710112,
        4.619559579318186,
        4.619578174926259,
        4.619596770534333,
        4.619615366142407,
        4.6196339617504805,
        4.619652557358554,
        4.619671152966628,
        4.619689748574702,
        4.619708344182776,
        4.619726939790849,
        4.6197455353989225,
        4.619764131006996,
        4.61978272661507,
        4.619801322223144,
        4.619819917831218,
        4.619838513439292,
        4.6198571090473655,
        4.619875704655438,
        4.619894300263512,
        4.619912895871586,
        4.61993149147966,
        4.619950087087734,
        4.6199686826958075,
        4.619987278303881,
        4.620005873911954,
        4.620024469520028,
        4.620043065128102,
        4.620061660736176,
        4.62008025634425,
        4.620098851952323,
        4.620117447560397,
        4.620136043168471,
        4.620154161966081,
        4.620172757574155,
        4.6201913531822285,
        4.620209948790302,
        4.620228544398376,
        4.620247140006449,
        4.620265735614523,
        4.620284331222597,
        4.620302926830671,
        4.620321522438744,
        4.620340118046818,
        4.620358236844428,
        4.620376832452502,
        4.620395428060576,
        4.6204140236686495,
        4.620432619276723,
        4.620451214884797,
        4.620469810492871,
        4.620488406100944,
        4.620506524898555,
        4.6205251205066284,
        4.620543716114702,
        4.620562311722776,
        4.620580907330849,
        4.620599502938923,
        4.620618098546997,
        4.620636217344607,
        4.620654812952681,
        4.620673408560754,
        4.620692004168828,
        4.620710599776902,
        4.620729195384976,
        4.620747314182586,
        4.620765909790659,
        4.620784505398733,
        4.620803101006807,
        4.620821696614881,
        4.620840292222955,
        4.620858411020564,
        4.620877006628638,
        4.620895602236712,
        4.620914197844786,
        4.62093279345286,
        4.6209509122504695,
        4.620969507858543,
        4.620988103466617,
        4.621006699074691,
        4.621025294682765,
        4.621043413480375,
        4.621062009088448,
        4.621080604696522,
        4.621099200304596,
        4.621117319102206,
        4.62113591471028,
        4.621154510318354,
        4.621173105926427,
        4.621191224724038,
        4.621209820332111,
        4.621228415940185,
        4.621247011548259,
        4.621265130345869,
        4.621283725953943,
        4.621302321562016,
        4.62132091717009,
        4.621339035967701,
        4.6213576315757745,
        4.621376227183848,
        4.621394822791921,
        4.621412941589532,
        4.621431537197606,
        4.62145013280568,
        4.6214682516032894,
        4.621486847211363,
        4.621505442819437,
        4.621523561617048,
        4.621542157225121,
        4.621560752833195,
        4.621579348441268,
        4.621597467238879,
        4.621616062846952,
        4.621634658455026,
        4.621652777252637,
        4.62167137286071,
        4.621689968468784,
        4.621708087266394,
        4.621726682874468,
        4.621745278482542,
        4.6217633972801515,
        4.621781992888225,
        4.621800588496299,
        4.62181870729391,
        4.621837302901984,
        4.6218554216995935,
        4.621874017307667,
        4.621892612915741,
        4.621910731713351,
        4.621929327321425,
        4.621947922929499,
        4.621966041727109,
        4.621984637335182,
        4.622002756132793,
        4.622021351740867,
        4.622039947348941,
        4.6220580661465505,
        4.622076661754624,
        4.622094780552235,
        4.622113376160308,
        4.622131971768382,
        4.6221500905659925,
        4.622168686174066,
        4.622186804971676,
        4.62220540057975,
        4.622223996187824,
        4.622242114985434,
        4.622260710593507,
        4.622278829391118,
        4.622297424999192,
        4.622315543796802,
        4.622334139404876,
        4.622352735012949,
        4.622370853810559,
        4.622389449418633,
        4.622407568216244,
        4.622426163824318,
        4.622444282621927,
        4.622462878230001,
        4.622480997027612,
        4.622499592635686,
        4.622517711433296,
        4.622536307041369,
        4.622554425838979,
        4.622573021447053,
        4.622591140244664,
        4.622609735852738,
        4.622627854650347,
        4.622646450258421,
        4.622664569056032,
        4.622683164664105,
        4.622701283461716,
        4.622719879069789,
        4.622737997867399,
        4.622756593475473,
        4.622774712273084,
        4.622793307881158,
        4.622811426678767,
        4.622830022286841,
        4.622848141084451,
        4.622866736692525,
        4.622884855490136,
        4.622903451098209,
        4.622921569895819,
        4.622940165503893,
        4.622958284301504,
        4.622976879909578,
        4.622994998707187,
        4.623013117504798,
        4.623031713112871,
        4.623049831910482,
        4.623068427518556,
        4.6230865463161654,
        4.623105141924239,
        4.62312326072185,
        4.62314137951946,
        4.623159975127534,
        4.623178093925144,
        4.623196689533217,
        4.623214808330828,
        4.623232927128438,
        4.623251522736512,
        4.623269641534122,
        4.623288237142196,
        4.623306355939806,
        4.623324474737417,
        4.6233430703454905,
        4.6233611891431,
        4.623379784751174,
        4.623397903548785,
        4.623416022346395,
        4.6234346179544685,
        4.623452736752078,
        4.623470855549689,
        4.623489451157763,
        4.623507569955373,
        4.6235261655634465,
        4.623544284361057,
        4.623562403158667,
        4.623580998766741,
        4.623599117564352,
        4.623617236361961,
        4.623635831970035,
        4.623653950767646,
        4.623672069565256,
        4.62369066517333,
        4.623708783970939,
        4.62372690276855,
        4.623745498376624,
        4.623763617174234,
        4.6237817359718445,
        4.623800331579918,
        4.623818450377528,
        4.623836569175139,
        4.623854687972749,
        4.6238732835808225,
        4.623891402378433,
        4.623909521176043,
        4.623928116784117,
        4.623946235581728,
        4.623964354379337,
        4.623982473176948,
        4.624001068785021,
        4.624019187582632,
        4.624037306380242,
        4.624055901988315,
        4.624074020785926,
        4.624092139583536,
        4.624110258381147,
        4.6241288539892205,
        4.62414697278683,
        4.624165091584441,
        4.624183210382051,
        4.624201805990125,
        4.624219924787735,
        4.624238043585345,
        4.624256162382956,
        4.624274281180566,
        4.6242928767886395,
        4.62431099558625,
        4.62432911438386,
        4.624347233181471,
        4.624365828789545,
        4.624383947587154,
        4.624402066384765,
        4.624420185182375,
        4.624438303979986,
        4.624456899588059,
        4.624475018385669,
        4.624493137183279,
        4.62451125598089,
        4.624529374778501,
        4.6245479703865735,
        4.624566089184184,
        4.624584207981794,
        4.624602326779405,
        4.624620445577015,
        4.624638564374625,
        4.624657159982699,
        4.624675278780309,
        4.62469339757792,
        4.6247115163755295,
        4.62472963517314,
        4.62474775397075,
        4.624765872768361,
        4.6247844683764345,
        4.624802587174044,
        4.624820705971655,
        4.624838824769265,
        4.624856943566876,
        4.624875062364485,
        4.624893181162096,
        4.62491177677017,
        4.62492989556778,
        4.6249480143653905,
        4.624966133163,
        4.624984251960611,
        4.625002370758221,
        4.625020489555832,
        4.625038608353441,
        4.625056727151052,
        4.625238391937618,
        4.625256510735229,
        4.625274629532838,
        4.625292748330449,
        4.625310867128059,
        4.62532898592567,
        4.6253475815337435,
        4.625365700331353,
        4.625383819128964,
        4.625401937926574,
        4.6254200567241845,
        4.625438175521794,
        4.625456294319405,
        4.625474413117015,
        4.625492531914626,
        4.625510650712235,
        4.625528769509846,
        4.625546888307456,
        4.625565007105067,
        4.6255831259026765,
        4.625601244700287,
        4.625619363497898,
        4.62576431387878,
        4.62578243267639,
        4.625800551474001,
        4.62581867027161,
        4.625836789069221,
        4.625854907866831,
        4.625873026664442,
        4.625890668651588,
        4.625908787449198,
        4.625926906246809,
        4.625945025044419,
        4.6259631438420294,
        4.625981262639639,
        4.62599938143725,
        4.62601750023486,
        4.6260356190324705,
        4.626053737830081,
        4.626071856627691,
        4.626089975425302,
        4.626108094222912,
        4.626126213020522,
        4.626144331818132,
        4.626161973805279,
        4.6261800926028895,
        4.626198211400499,
        4.62621633019811,
        4.62623444899572,
        4.626252567793331,
        4.62627068659094,
        4.626288805388551,
        4.626306924186161,
        4.626324566173309,
        4.626342684970918,
        4.626360803768529,
        4.626378922566139,
        4.62639704136375,
        4.6264151601613595,
        4.62643327895897,
        4.62645139775658,
        4.626469039743727,
        4.626487158541337,
        4.626505277338947,
        4.626523396136558,
        4.626541514934168,
        4.6265596337317785,
        4.626577275718925,
        4.626595394516536,
        4.626613513314146,
        4.626631632111756,
        4.626649750909366,
        4.626667869706977,
        4.626685511694124,
        4.6267036304917335,
        4.626721749289344,
        4.626739868086954,
        4.626757986884565,
        4.626776105682175,
        4.626793747669321,
        4.626811866466932,
        4.626829985264543,
        4.6268481040621525,
        4.626865746049299,
        4.62688386484691,
        4.62690198364452,
        4.6269201024421305,
        4.62693822123974,
        4.626955863226887,
        4.626973982024498,
        4.6269921008221075,
        4.627010219619718,
        4.627027861606865,
        4.627045980404476,
        4.6270640992020855,
        4.627082217999696,
        4.627099859986843,
        4.627117978784453,
        4.6271360975820635,
        4.627154216379673,
        4.627171858366821,
        4.627189977164431,
        4.627208095962041,
        4.627226214759651,
        4.627243856746798,
        4.627261975544409,
        4.6272800943420185,
        4.627298213139629,
        4.627315855126776,
        4.627333973924386,
        4.627352092721996,
        4.627369734709143,
        4.627387853506754,
        4.627405972304364,
        4.62742361429151,
        4.627441733089121,
        4.627459851886731,
        4.627477970684342,
        4.627495612671488,
        4.627513731469099,
        4.627531850266709,
        4.627549492253856,
        4.627567611051466,
        4.627585729849076,
        4.627603371836223,
        4.6276214906338335,
        4.627639609431443,
        4.627657251418591,
        4.627675370216201,
        4.6276934890138115,
        4.627711131000958,
        4.627729249798568,
        4.627746891785715,
        4.6277650105833255,
        4.627783129380935,
        4.627800771368083,
        4.627818890165693,
        4.627837008963303,
        4.62785465095045,
        4.62787276974806,
        4.627890411735207,
        4.627908530532817,
        4.627926649330427,
        4.627944291317575,
        4.627962410115185,
        4.627980528912795,
        4.627998170899942,
        4.628016289697552,
        4.6280339316846995,
        4.628052050482309,
        4.628069692469456,
        4.628087811267067,
        4.6281059300646765,
        4.628123572051823,
        4.628141690849434,
        4.628159332836581,
        4.628177451634191,
        4.628195570431801,
        4.628213212418948,
        4.628231331216559,
        4.628248973203705,
        4.628267092001315,
        4.628284733988463,
        4.628302852786073,
        4.628320494773219,
        4.62833861357083,
        4.628356255557977,
        4.6283743743555865,
        4.628392493153197,
        4.628410135140344,
        4.628428253937955,
        4.628445895925101,
        4.628464014722711,
        4.628481656709858,
        4.628499775507469,
        4.628517417494615,
        4.628535536292226,
        4.628553178279373,
        4.628571297076983,
        4.628588939064129,
        4.62860705786174,
        4.628624699848887,
        4.628642818646497,
        4.628660460633644,
        4.628678579431254,
        4.6286962214184015,
        4.628714340216011,
        4.628731982203158,
        4.628750101000769,
        4.6287677429879155,
        4.628785384975062,
        4.628803503772673,
        4.62882114575982,
        4.6288392645574294,
        4.628856906544576,
        4.628875025342187,
        4.628892667329334,
        4.628910786126944,
        4.628928428114091,
        4.628946546911701,
        4.6289641888988475,
        4.628981830885995,
        4.628999949683605,
        4.629017591670752,
        4.629035710468362,
        4.629053352455509,
        4.629071471253119,
        4.6290891132402665,
        4.629106755227413,
        4.629124874025023,
        4.62914251601217,
        4.6291606348097805,
        4.629178276796927,
        4.629195918784074,
        4.629214037581685,
        4.629231679568831,
        4.629249798366441,
        4.629267440353589,
        4.629285082340735,
        4.629303201138345,
        4.629320843125492,
        4.62933848511264,
        4.629356603910249,
        4.629374245897396,
        4.629392364695007,
        4.6294100066821535,
        4.6294276486693,
        4.629445767466911,
        4.629463409454058,
        4.629481051441204,
        4.629499170238814,
        4.629516812225962,
        4.6295344542131085,
        4.629552573010718,
        4.629570214997865,
        4.629587856985013,
        4.6296059757826225,
        4.629623617769769,
        4.629641259756916,
        4.629659378554527,
        4.629677020541673,
        4.62969466252882,
        4.629712781326431,
        4.629730423313577,
        4.629748065300724,
        4.629765707287871,
        4.629783826085482,
        4.629801468072628,
        4.629819110059775,
        4.629837228857386,
        4.629854870844532,
        4.629872512831679,
        4.629890154818826,
        4.6299082736164365,
        4.629925915603583,
        4.62994355759073,
        4.62996167638834,
        4.629979318375487,
        4.629996960362634,
        4.630014602349781,
        4.630032721147391,
        4.630050363134538,
        4.630068005121685,
        4.630085647108832,
        4.6301037659064415,
        4.630121407893589,
        4.630139049880736,
        4.6301566918678825,
        4.630174810665492,
        4.63019245265264,
        4.630210094639787,
        4.630227736626933,
        4.63024537861408,
        4.630263497411691,
        4.6302811393988375,
        4.630298781385984,
        4.630316423373131,
        4.630334542170742,
        4.630352184157888,
        4.630369826145035,
        4.630387468132182,
        4.630405110119328,
        4.630422752106475,
        4.630440870904086,
        4.630458512891233,
        4.630476154878379,
        4.630493796865526,
        4.630511438852673,
        4.630529557650283,
        4.63054719963743,
        4.630564841624577,
        4.6305824836117235,
        4.630600125598871,
        4.630617767586018,
        4.630635886383628,
        4.630653528370774,
        4.630671170357922,
        4.630688812345069,
        4.630706454332215,
        4.630724096319362,
        4.630741738306509,
        4.6307598571041195,
        4.630777499091266,
        4.630795141078413,
        4.63081278306556,
        4.630830425052706,
        4.630848067039854,
        4.630865709027001,
        4.630883351014147,
        4.630900993001294,
        4.630919111798905,
        4.6309367537860515,
        4.630954395773198,
        4.630972037760345,
        4.630989679747492,
        4.631007321734638,
        4.631024963721785,
        4.631042605708933,
        4.631060247696079,
        4.631077889683226,
        4.631096008480836,
        4.6311136504679835,
        4.63113129245513,
        4.631148934442277,
        4.631166576429424,
        4.63118421841657,
        4.631201860403717,
        4.631219502390865,
        4.631237144378011,
        4.631254786365158,
        4.631272428352305,
        4.6312900703394515,
        4.631307712326598,
        4.631325354313746,
        4.6313429963008925,
        4.631360638288039,
        4.631378280275186,
        4.631395922262333,
        4.631413564249479,
        4.631431206236627,
        4.631448848223774,
        4.63146649021092,
        4.631484132198067,
        4.631501774185214,
        4.6315194161723605,
        4.631537058159507,
        4.631554700146655,
        4.6315723421338015,
        4.631589984120948,
        4.631607626108095,
        4.631625268095242,
        4.631642910082388,
        4.631660552069536,
        4.631678194056683,
        4.631695836043829,
        4.631713478030976,
        4.631731120018123,
        4.6317487620052695,
        4.631766403992417,
        4.631784045979564,
        4.6318016879667105,
        4.631819329953857,
        4.631836971941004,
        4.631854613928151,
        4.631872255915297,
        4.631889897902445,
        4.631907539889592,
        4.631925181876738,
        4.631942823863885,
        4.631960465851032,
        4.6319781078381785,
        4.631995273014862,
        4.632012915002009,
        4.6320305569891564,
        4.632048198976303,
        4.63206584096345,
        4.632083482950597,
        4.632101124937743,
        4.63211876692489,
        4.632136408912038,
        4.632154050899184,
        4.632171692886331,
        4.632188858063015,
        4.632206500050161,
        4.632224142037308,
        4.632241784024455,
        4.6322594260116015,
        4.632277067998748,
        4.632294709985896,
        4.6323123519730425,
        4.632329993960189,
        4.632347159136873,
        4.6323648011240195,
        4.632382443111166,
        4.632400085098313,
        4.63241772708546,
        4.632435369072607,
        4.632453011059754,
        4.632470176236437,
        4.632487818223584,
        4.632505460210731,
        4.632523102197878,
        4.632540744185024,
        4.632558386172171,
        4.632575551348855,
        4.632593193336001,
        4.632610835323148,
        4.632628477310296,
        4.632646119297442,
        4.632663284474126,
        4.632680926461273,
        4.632698568448419,
        4.632716210435566,
        4.632733852422713,
        4.63275149440986,
        4.632768659586543,
        4.63278630157369,
        4.632803943560837,
        4.632821585547984,
        4.632838750724667,
        4.6328563927118145,
        4.632874034698961,
        4.632891676686108,
        4.632909318673255,
        4.632926483849938,
        4.63310195010048,
        4.633119592087627,
        4.63313675726431,
        4.633154399251457,
        4.633172041238604,
        4.63318968322575,
        4.633206848402434,
        4.633224490389581,
        4.633242132376727,
        4.633259297553411,
        4.633276939540558,
        4.6332945815277045,
        4.633312223514852,
        4.633329388691535,
        4.633347030678682,
        4.633364672665829,
        4.633381837842512,
        4.633399479829659,
        4.633417121816806,
        4.63343428699349,
        4.633451928980636,
        4.633469570967783,
        4.633486736144467,
        4.633504378131613,
        4.63352202011876,
        4.633539185295444,
        4.63355682728259,
        4.633574469269737,
        4.633591634446421,
        4.6336092764335675,
        4.633626918420714,
        4.633644083597398,
        4.6336617255845445,
        4.633679367571691,
        4.633696532748375,
        4.6337141747355215,
        4.633731816722669,
        4.633748981899352,
        4.6337666238864985,
        4.633783789063182,
        4.633801431050329,
        4.633819073037476,
        4.633836238214159,
        4.633853880201307,
        4.633871522188453,
        4.633888687365137,
        4.633906329352284,
        4.6339234945289665,
        4.633941136516114,
        4.633958778503261,
        4.633975943679944,
        4.633993585667091,
        4.634010750843775,
        4.634028392830921,
        4.634046034818068,
        4.634063199994752,
        4.634080841981898,
        4.634098007158582,
        4.634115649145729,
        4.634132814322412,
        4.634150456309559,
        4.634168098296706,
        4.634185263473389,
        4.634202905460536,
        4.63422007063722,
        4.634237712624366,
        4.63425487780105,
        4.634272519788197,
        4.63428968496488,
        4.634307326952027,
        4.634324492128711,
        4.634342134115857,
        4.634359776103004,
        4.634376941279688,
        4.634394583266834,
        4.634411748443518,
        4.634429390430665,
        4.634446555607348,
        4.634464197594495,
        4.6344813627711785,
        4.634499004758325,
        4.634516169935009,
        4.6345338119221555,
        4.634550977098839,
        4.634568619085986,
        4.6345857842626685,
        4.634603426249816,
        4.634620591426499,
        4.6346382334136464,
        4.634655398590329,
        4.634673040577477,
        4.6346902057541595,
        4.634707847741307,
        4.63472501291799,
        4.634742178094673,
        4.63475982008182,
        4.634776985258504,
        4.63479462724565,
        4.634811792422334,
        4.634829434409481,
        4.634846599586164,
        4.634864241573311,
        4.634881406749995,
        4.634899048737141,
        4.634916213913825,
        4.6349333790905085,
        4.634951021077655,
        4.634968186254339,
        4.6349858282414855,
        4.635002993418169,
        4.635020635405316,
        4.635037800581999,
        4.635054965758682,
        4.63507260774583,
        4.6350897729225125,
        4.63510741490966,
        4.635124580086343,
        4.635141745263026,
        4.635159387250173,
        4.635176552426857,
        4.635194194414003,
        4.635211359590687,
        4.635228524767371,
        4.635246166754517,
        4.635263331931201,
        4.6367707682113295,
        4.63834781881912,
        4.638368321669047,
        4.638389301329437,
        4.638409804179365,
        4.638430307029292,
        4.638451286689683,
        4.638471789539611,
        4.638492292389538,
        4.638512795239466,
        4.638533774899856,
        4.638554277749784,
        4.638574780599711,
        4.6385952834496385,
        4.63861626311003,
        4.638636765959957,
        4.638657268809884,
        4.638677771659812,
        4.638698751320202,
        4.63871925417013,
        4.6387397570200575,
        4.638760259869985,
        4.638781239530376,
        4.638801742380303,
        4.63882224523023,
        4.638842748080158,
        4.6388637277405484,
        4.6388842305904765,
        4.638904733440404,
        4.638925236290331,
        4.638945739140259,
        4.638966718800649,
        4.638987221650576,
        4.639007724500504,
        4.6390282273504315,
        4.639048730200359,
        4.63906970986075,
        4.639090212710677,
        4.639110715560605,
        4.639131218410532,
        4.639151721260459,
        4.6391722241103865,
        4.639193203770778,
        4.639213706620705,
        4.639234209470633,
        4.63925471232056,
        4.639275215170487,
        4.639295718020415,
        4.6393162208703425,
        4.639337200530734,
        4.639357703380661,
        4.639378206230588,
        4.639398709080515,
        4.639419211930443,
        4.63943971478037,
        4.6394602176302975,
        4.6394807204802255,
        4.639501223330153,
        4.639522202990543,
        4.639542705840471,
        4.639563208690398,
        4.639583711540325,
        4.639604214390253,
        4.6396247172401806,
        4.639645220090108,
        4.639665722940036,
        4.639686225789963,
        4.63970672863989,
        4.639727231489817,
        4.639747734339745,
        4.639768714000136,
        4.639789216850064,
        4.639809719699991,
        4.639830222549918,
        4.639850725399846,
        4.639871228249773,
        4.6398917310997,
        4.6399122339496275,
        4.6399327367995555,
        4.639953239649483,
        4.63997374249941,
        4.639994245349338,
        4.640014748199265,
        4.640035251049192,
        4.640055753899119,
        4.6400762567490474,
        4.640096759598975,
        4.640117262448902,
        4.64013776529883,
        4.640158268148757,
        4.640178770998684,
        4.640199273848612,
        4.640219776698539,
        4.6402402795484665,
        4.640260782398394,
        4.640281285248322,
        4.640301788098249,
        4.640322290948176,
        4.640342793798104,
        4.640363296648031,
        4.640383799497958,
        4.640404302347886,
        4.640424805197814,
        4.640444831237278,
        4.640465334087205,
        4.640485836937132,
        4.64050633978706,
        4.640526842636987,
        4.640547345486914,
        4.6405678483368415,
        4.64058835118677,
        4.640608854036697,
        4.640629356886624,
        4.640649859736552,
        4.640670362586479,
        4.640690388625943,
        4.64071089147587,
        4.6407313943257975,
        4.640751897175726,
        4.640772400025653,
        4.64079290287558,
        4.640813405725508,
        4.640833908575435,
        4.640854411425362,
        4.640874437464826,
        4.6408949403147535,
        4.6409154431646815,
        4.641058486303709,
        4.6410789891536375,
        4.641099492003565,
        4.641119518043029,
        4.641140020892956,
        4.641160523742884,
        4.641181026592811,
        4.641201529442738,
        4.641222032292665,
        4.641242058332129,
        4.6412625611820575,
        4.641283064031985,
        4.641303566881912,
        4.641323592921376,
        4.641344095771303,
        4.641364598621231,
        4.641385101471158,
        4.641405604321085,
        4.6414256303605494,
        4.6414461332104775,
        4.641466636060405,
        4.641487138910332,
        4.641507164949796,
        4.641527667799723,
        4.641548170649651,
        4.641568673499578,
        4.641588699539042,
        4.6416092023889695,
        4.641629705238897,
        4.641650208088825,
        4.641670234128289,
        4.641690736978216,
        4.641711239828143,
        4.641731265867607,
        4.641751768717535,
        4.641772271567462,
        4.6417927744173895,
        4.6418128004568535,
        4.641833303306781,
        4.641853806156709,
        4.641873832196173,
        4.6418943350461,
        4.641914837896027,
        4.641934863935491,
        4.641955366785418,
        4.641975869635346,
        4.64199589567481,
        4.642016398524738,
        4.642036901374665,
        4.642056927414129,
        4.642077430264056,
        4.642097933113984,
        4.642117959153448,
        4.642138462003375,
        4.642158964853302,
        4.642178990892766,
        4.642199493742694,
        4.642219996592622,
        4.642240022632086,
        4.642260525482013,
        4.642280551521477,
        4.642301054371404,
        4.642321557221332,
        4.642341583260795,
        4.642362086110723,
        4.6423825889606505,
        4.6424026150001145,
        4.642423117850042,
        4.642443143889506,
        4.642463646739433,
        4.642483672778897,
        4.642504175628825,
        4.642524678478752,
        4.642544704518216,
        4.642565207368143,
        4.642585233407607,
        4.642605736257535,
        4.642625762296999,
        4.642646265146927,
        4.642666767996854,
        4.642686794036318,
        4.642707296886245,
        4.642727322925709,
        4.642747825775636,
        4.6427678518151,
        4.642788354665028,
        4.642808380704492,
        4.64282888355442,
        4.642848909593884,
        4.642869412443811,
        4.642889438483275,
        4.642909941333202,
        4.642929967372666,
        4.642950470222594,
        4.642970496262058,
        4.642990999111985,
        4.643011025151449,
        4.6430315280013765,
        4.643051554040841,
        4.643072056890768,
        4.643092082930232,
        4.64311258578016,
        4.643132611819623,
        4.643153114669551,
        4.643173140709015,
        4.643193643558942,
        4.643213669598406,
        4.6432341724483335,
        4.6432541984877975,
        4.643274224527262,
        4.643294727377189,
        4.643314753416653,
        4.643335256266581,
        4.643355282306045,
        4.643375785155972,
        4.643395811195436,
        4.643416314045363,
        4.643436340084827,
        4.643456366124291,
        4.6434768689742185,
        4.643496895013683,
        4.64351739786361,
        4.643537423903074,
        4.643557449942538,
        4.643577952792466,
        4.64359797883193,
        4.643618481681857,
        4.643638507721321,
        4.643658533760785,
        4.643679036610712,
        4.643699062650176,
        4.6437190886896405,
        4.643739591539568,
        4.643759617579032,
        4.643780120428959,
        4.643800146468423,
        4.643820172507887,
        4.643840675357815,
        4.643860701397279,
        4.643880727436742,
        4.64390123028667,
        4.643921256326134,
        4.643941282365598,
        4.6439617852155255,
        4.6439818112549895,
        4.644001837294454,
        4.644022340144381,
        4.644042366183845,
        4.644062392223309,
        4.644082418262773,
        4.6441029211127,
        4.644122947152164,
        4.644142973191628,
        4.644163476041555,
        4.644183502081019,
        4.644203528120483,
        4.6442235541599475,
        4.644244057009875,
        4.644264083049339,
        4.644284109088803,
        4.644304611938731,
        4.644324637978195,
        4.644344664017659,
        4.644364690057122,
        4.64438519290705,
        4.644405218946514,
        4.644425244985978,
        4.644445271025442,
        4.644465773875369,
        4.6444857999148335,
        4.6445058259542975,
        4.644525851993762,
        4.644546354843689,
        4.644566380883153,
        4.644586406922617,
        4.644606432962081,
        4.644626459001545,
        4.644646961851472,
        4.644666987890936,
        4.6446870139304,
        4.644707039969864,
        4.644727066009328,
        4.644747568859255,
        4.6447675948987195,
        4.6447876209381835,
        4.644807646977648,
        4.644827673017112,
        4.644847699056576,
        4.644868201906503,
        4.644888227945967,
        4.644908253985431,
        4.644928280024895,
        4.644948306064359,
        4.644968332103823,
        4.64498883495375,
        4.645008860993214,
        4.645028887032678,
        4.645048913072142,
        4.6450689391116065,
        4.6450889651510705,
        4.6451089911905346,
        4.645129494040462,
        4.645149520079926,
        4.64516954611939,
        4.645189572158854,
        4.645209598198318,
        4.645229624237782,
        4.645249650277246,
        4.645269676316709,
        4.645289702356173,
        4.645309728395637,
        4.645330231245565,
        4.645350257285029,
        4.645410335403421,
        4.645430361442885,
        4.645450387482349,
        4.645470413521813,
        4.645490439561277,
        4.645510465600741,
        4.645530491640205,
        4.645550517679669,
        4.645570543719133,
        4.645590569758597,
        4.645610595798061,
        4.645630621837525,
        4.645651124687452,
        4.645671150726916,
        4.64569117676638,
        4.6457112028058445,
        4.6457312288453085,
        4.645751254884773,
        4.645771280924237,
        4.645791306963701,
        4.645811333003164,
        4.645831359042628,
        4.645851385082092,
        4.645871411121556,
        4.64589143716102,
        4.645911463200484,
        4.645931489239948,
        4.645951515279412,
        4.645971541318876,
        4.64599156735834,
        4.646011593397804,
        4.646031142626804,
        4.646051168666268,
        4.6460711947057325,
        4.6460912207451965,
        4.646111246784661,
        4.646131272824125,
        4.646151298863589,
        4.646171324903053,
        4.646191350942517,
        4.646211376981981,
        4.646231403021445,
        4.646251429060909,
        4.646271455100373,
        4.646291481139837,
        4.646311507179301,
        4.646331533218765,
        4.646351082447765,
        4.646371108487229,
        4.646391134526693,
        4.646411160566157,
        4.646431186605621,
        4.646451212645085,
        4.6464712386845495,
        4.6464912647240135,
        4.646511290763478,
        4.646531316802942,
        4.646550866031942,
        4.646570892071406,
        4.64659091811087,
        4.646610944150334,
        4.646630970189798,
        4.646650996229262,
        4.646671022268726,
        4.646690571497726,
        4.64671059753719,
        4.646730623576654,
        4.646750649616118,
        4.646770675655582,
        4.646790701695046,
        4.646810250924047,
        4.646830276963511,
        4.646850303002974,
        4.6468703290424385,
        4.6468903550819025,
        4.646910381121367,
        4.6469299303503675,
        4.6469499563898315,
        4.646969982429296,
        4.64699000846876,
        4.647010034508224,
        4.647029583737224,
        4.647049609776688,
        4.647069635816152,
        4.647089661855616,
        4.64710968789508,
        4.647129237124081,
        4.647149263163544,
        4.647169289203008,
        4.647189315242472,
        4.647208864471473,
        4.647228890510937,
        4.647248916550401,
        4.647268942589865,
        4.647288491818865,
        4.647308517858329,
        4.647328543897793,
        4.647348569937257,
        4.647368119166258,
        4.647388145205722,
        4.6474081712451865,
        4.64742819728465,
        4.647447746513651,
        4.647467772553115,
        4.647487798592579,
        4.64750734782158,
        4.647527373861043,
        4.647547399900507,
        4.647566949129508,
        4.647586975168972,
        4.647607001208436,
        4.6476270272479,
        4.6476465764769,
        4.647666602516364,
        4.647686628555828,
        4.647706177784829,
        4.647726203824293,
        4.647746229863757,
        4.647765779092757,
        4.647785805132221,
        4.647805831171685,
        4.647825380400686,
        4.64784540644015,
        4.647865432479614,
        4.647884981708614,
        4.647905007748078,
        4.647925033787542,
        4.647944583016543,
        4.647964609056007,
        4.647984158285007,
        4.6480041843244715,
        4.6480242103639355,
        4.6480437595929365,
        4.6480637856324005,
        4.648083334861401,
        4.648103360900865,
        4.648123386940329,
        4.64814293616933,
        4.648162962208794,
        4.648182511437794,
        4.648202537477258,
        4.648222563516722,
        4.648242112745723,
        4.648262138785187,
        4.648281688014187,
        4.648301714053651,
        4.648321740093115,
        4.648341289322116,
        4.648361315361579,
        4.64838086459058,
        4.648400890630044,
        4.648420439859045,
        4.648440465898509,
        4.648460015127509,
        4.648480041166973,
        4.648500067206437,
        4.648519616435438,
        4.648539642474902,
        4.648559191703902,
        4.648579217743366,
        4.648598766972367,
        4.648618793011831,
        4.648638342240831,
        4.648658368280295,
        4.648677917509296,
        4.64869794354876,
        4.64871749277776,
        4.648737518817224,
        4.648757068046225,
        4.648777094085689,
        4.6487966433146894,
        4.6488166693541535,
        4.648836218583154,
        4.6488562446226185,
        4.6488757938516185,
        4.648895819891083,
        4.6489153691200835,
        4.648935395159548,
        4.648954944388548,
        4.6489744936175486,
        4.648994519657013,
        4.649014068886013,
        4.649093219422942,
        4.649113245462406,
        4.649132794691407,
        4.649152343920408,
        4.649172369959871,
        4.649191919188872,
        4.649211945228336,
        4.649231494457337,
        4.649251043686337,
        4.649271069725801,
        4.649290618954802,
        4.649310644994266,
        4.649330194223266,
        4.649349743452267,
        4.649369769491731,
        4.649389318720731,
        4.649409344760195,
        4.649428893989196,
        4.649448443218196,
        4.64946846925766,
        4.649488018486661,
        4.649507567715661,
        4.649527593755125,
        4.649547142984126,
        4.64956716902359,
        4.649586718252591,
        4.649606267481591,
        4.649626293521055,
        4.649645842750056,
        4.649665391979056,
        4.64968541801852,
        4.649704967247521,
        4.649724516476521,
        4.649744542515985,
        4.649764091744986,
        4.649783640973986,
        4.649803190202987,
        4.649823216242451,
        4.649842765471451,
        4.649862314700452,
        4.649882340739916,
        4.649901889968917,
        4.649921439197917,
        4.649941465237381,
        4.649961014466382,
        4.649980563695382,
        4.650000112924383,
        4.650020138963847,
        4.650039688192847,
        4.650059237421848,
        4.650079263461312,
        4.650098812690312,
        4.650118361919313,
        4.650137911148314,
        4.650157937187778,
        4.650177486416778,
        4.650197035645779,
        4.650216584874779,
        4.650236610914243,
        4.650256160143244,
        4.650275709372244,
        4.650295258601245,
        4.650314807830246,
        4.65033483386971,
        4.65035438309871,
        4.650373932327711,
        4.650393481556711,
        4.650413507596175,
        4.650433056825176,
        4.650452606054176,
        4.650472155283177,
        4.650491704512178,
        4.650511253741178,
        4.650531279780642,
        4.650550829009643,
        4.650570378238643,
        4.650589927467644,
        4.650609476696644,
        4.650629502736108,
        4.650649051965109,
        4.650668601194109,
        4.65068815042311,
        4.650707699652111,
        4.650727248881111,
        4.650747274920575,
        4.650766824149576,
        4.650786373378576,
        4.650805922607577,
        4.650825471836577,
        4.650845021065578,
        4.650864570294579,
        4.650884119523579,
        4.650904145563043,
        4.650923694792044,
        4.650943244021044,
        4.650962793250045,
        4.650982342479045,
        4.651001891708046,
        4.651021440937047,
        4.651040990166047,
        4.651060539395048,
        4.651080565434512,
        4.651100114663512,
        4.651119663892513,
        4.651139213121514,
        4.651158762350514,
        4.651178311579515,
        4.651197860808515,
        4.651217410037516,
        4.651236959266516,
        4.651256508495517,
        4.651276057724518,
        4.651295606953518,
        4.651315156182519,
        4.651334705411519,
        4.65135425464052,
        4.651374280679984,
        4.651393829908984,
        4.651413379137985,
        4.651432928366986,
        4.651452477595986,
        4.651472026824987,
        4.651491576053987,
        4.651511125282988,
        4.651530674511988,
        4.651550223740989,
        4.65156977296999,
        4.65158932219899,
        4.651608871427991,
        4.651628420656991,
        4.651647969885992,
        4.6516675191149925,
        4.651687068343993,
        4.6517066175729935,
        4.651726166801994,
        4.6517457160309945,
        4.651765265259995,
        4.6517848144889955,
        4.651804363717996,
        4.6518239129469965,
        4.651842985365533,
        4.651862534594534,
        4.651882083823535,
        4.651901633052535,
        4.651921182281536,
        4.651940731510536,
        4.651960280739537,
        4.651979829968538,
        4.651999379197538,
        4.652018928426539,
        4.652038477655539,
        4.65205802688454,
        4.65207757611354,
        4.652097125342541,
        4.652116674571542,
        4.652135746990079,
        4.652155296219079,
        4.65217484544808,
        4.652194394677081,
        4.652213943906081,
        4.652233493135082,
        4.652253042364082,
        4.652272591593083,
        4.652292140822083,
        4.652311690051084,
        4.652330762469621,
        4.652350311698622,
        4.652369860927622,
        4.652389410156623,
        4.652408959385624,
        4.652428508614624,
        4.652448057843625,
        4.652467130262162,
        4.652486679491163,
        4.652506228720163,
        4.6525257779491636,
        4.652545327178164,
        4.6525648764071645,
        4.6525839488257015,
        4.652603498054702,
        4.6526230472837025,
        4.652642596512703,
        4.6526621457417034,
        4.652681694970704,
        4.652700767389241,
        4.652720316618242,
        4.652739865847242,
        4.652759415076243,
        4.652778964305244,
        4.652798036723781,
        4.652817585952781,
        4.652837135181782,
        4.652856684410783,
        4.652876233639783,
        4.65289530605832,
        4.652914855287321,
        4.652934404516322,
        4.652953953745322,
        4.652973026163859,
        4.65299257539286,
        4.65301212462186,
        4.653031673850861,
        4.653050746269398,
        4.653070295498399,
        4.653089844727399,
        4.6531093939564,
        4.653128466374937,
        4.6531480156039375,
        4.653167564832938,
        4.6531871140619385,
        4.6532061864804755,
        4.653225735709476,
        4.6532452849384764,
        4.653264834167477,
        4.653283906586014,
        4.653303455815015,
        4.653323005044015,
        4.653342077462553,
        4.653361626691553,
        4.653381175920554,
        4.653400248339091,
        4.653419797568092,
        4.653439346797092,
        4.653458419215629,
        4.65347796844463,
        4.653497517673631,
        4.653517066902631,
        4.653536139321168,
        4.653555688550169,
        4.65357523777917,
        4.653594310197707,
        4.653613859426707,
        4.6536329318452445,
        4.653652481074245,
        4.6536720303032455,
        4.653691102721782,
        4.653710651950783,
        4.653730201179783,
        4.65374927359832,
        4.653768822827321,
        4.653788372056321,
        4.653807444474859,
        4.653826993703859,
        4.653846066122397,
        4.653865615351397,
        4.653885164580398,
        4.653904236998935,
        4.653923786227935,
        4.653942858646473,
        4.653962407875473,
        4.653981957104474,
        4.654001029523011,
        4.654020578752012,
        4.654039651170549,
        4.654059200399549,
        4.65407874962855,
        4.6540978220470866,
        4.6541173712760875,
        4.654136443694624,
        4.654155992923625,
        4.654175065342162,
        4.654194614571162,
        4.6542136869897,
        4.6542332362187,
        4.654252785447701,
        4.654271857866238,
        4.654291407095239,
        4.654310479513776,
        4.654330028742776,
        4.654349101161314,
        4.654368650390314,
        4.654387722808852,
        4.654407272037852,
        4.654426344456389,
        4.65444589368539,
        4.654464966103927,
        4.6544845153329275,
        4.654503587751464,
        4.654523136980465,
        4.654542209399002,
        4.654561758628002,
        4.65458083104654,
        4.65460038027554,
        4.654619452694077,
        4.654639001923078,
        4.654658074341615,
        4.654677623570616,
        4.654696695989153,
        4.654716245218154,
        4.654735317636691,
        4.654754866865691,
        4.654773939284229,
        4.654793488513229,
        4.654812560931766,
        4.6548316333503035,
        4.6548511825793035,
        4.6548702549978405,
        4.654889804226841,
        4.654908876645378,
        4.654928425874379,
        4.654947498292916,
        4.654966570711453,
        4.654986119940454,
        4.655005192358991,
        4.655024741587992,
        4.655043814006529,
        4.655062886425066,
        4.655082435654067,
        4.655101508072604,
        4.655121057301605,
        4.655140129720142,
        4.6551592021386785,
        4.6551787513676794,
        4.655197823786216,
        4.655217373015216,
        4.655236445433754,
        4.655255517852291,
        4.655275067081291,
        4.655294139499829,
        4.655313211918366,
        4.655332761147366,
        4.655351833565904,
        4.655371382794904,
        4.655390455213441,
        4.655409527631979,
        4.655429076860979,
        4.655448149279516,
        4.6554672216980535,
        4.6554867709270535,
        4.655505843345591,
        4.655524915764128,
        4.655544464993128,
        4.655563537411666,
        4.655582609830203,
        4.655602159059203,
        4.655621231477741,
        4.655640303896278,
        4.655659376314815,
        4.655678925543816,
        4.655697997962353,
        4.65571707038089,
        4.655736619609891,
        4.6557556920284275,
        4.6557747644469645,
        4.655793836865501,
        4.655813386094502,
        4.655832458513039,
        4.655851530931576,
        4.655871080160577,
        4.655890152579114,
        4.655909224997651,
        4.655928297416189,
        4.655947846645189,
        4.655966919063726,
        4.655985991482264,
        4.656005063900801,
        4.656024613129801,
        4.6560436855483385,
        4.656062757966875,
        4.656081830385412,
        4.656101379614413,
        4.65612045203295,
        4.656139524451487,
        4.656158596870024,
        4.656177669288562,
        4.656197218517562,
        4.656216290936099,
        4.656235363354637,
        4.656254435773174,
        4.656273508191711,
        4.6562930574207115,
        4.6563121298392485,
        4.656331202257785,
        4.656350274676322,
        4.65636934709486,
        4.65638889632386,
        4.656407968742397,
        4.656427041160935,
        4.656446113579472,
        4.656465185998009,
        4.656484258416546,
        4.656503807645547,
        4.656522880064084,
        4.656541952482621,
        4.656561024901158,
        4.656580097319695,
        4.656599169738232,
        4.656618242156769,
        4.65663779138577,
        4.656656863804307,
        4.656675936222844,
        4.656695008641382,
        4.656714081059919,
        4.656733153478456,
        4.656752225896993,
        4.65677129831553,
        4.6567908475445305,
        4.6568099199630675,
        4.656828992381604,
        4.656848064800142,
        4.656867137218679,
        4.656886209637216,
        4.656905282055753,
        4.656924354474291,
        4.656943426892828,
        4.656962499311365,
        4.656981571729902,
        4.657001120958903,
        4.6570201933774396,
        4.6570392657959765,
        4.657058338214514,
        4.657077410633051,
        4.657096483051588,
        4.657115555470125,
        4.657134627888662,
        4.6571537003072,
        4.657172772725737,
        4.657191845144274,
        4.657210917562811,
        4.6572299899813485,
        4.6572490623998855,
        4.657268134818422,
        4.657287207236959,
        4.657306279655496,
        4.657325352074034,
        4.657344424492571,
        4.657363496911108,
        4.657382569329645,
        4.657401641748183,
        4.65742071416672,
        4.657439786585257,
        4.6574588590037935,
        4.6574779314223305,
        4.657497003840868,
        4.657516076259405,
        4.657535148677942,
        4.657554221096479,
        4.657573293515017,
        4.657592365933554,
        4.657611438352091,
        4.657630510770628,
        4.6576495831891656,
        4.6576686556077025,
        4.657687728026239,
        4.657706800444776,
        4.657725872863313,
        4.657744945281851,
        4.657764017700388,
        4.657783090118925,
        4.657802162537462,
        4.657821234956,
        4.657840307374537,
        4.6578589029826105,
        4.6578779754011475,
        4.657897047819684,
        4.657916120238221,
        4.657935192656759,
        4.657954265075296,
        4.657973337493833,
        4.65799240991237,
        4.658011482330907,
        4.658030554749445,
        4.658049627167982,
        4.6580682227760555,
        4.658087295194592,
        4.658106367613129,
        4.658125440031666,
        4.658144512450204,
        4.658163584868741,
        4.658182657287278,
        4.658201729705815,
        4.658220325313889,
        4.658239397732426,
        4.6582584701509635,
        4.6582775425695,
        4.658296614988037,
        4.658315687406574,
        4.658334759825112,
        4.658353355433185,
        4.658372427851723,
        4.65839150027026,
        4.658410572688797,
        4.658429645107334,
        4.6584487175258715,
        4.6584673131339445,
        4.658486385552482,
        4.658505457971019,
        4.658524530389556,
        4.658543602808093,
        4.658562198416167,
        4.658581270834704,
        4.658600343253242,
        4.658619415671779,
        4.6586384880903156,
        4.658657083698389,
        4.658676156116926,
        4.658695228535463,
        4.658714300954001,
        4.658733373372538,
        4.658751968980612,
        4.658771041399149,
        4.658790113817686,
        4.658809186236223,
        4.6588277818442965,
        4.658846854262834,
        4.658865926681371,
        4.658884999099908,
        4.658903594707982,
        4.658922667126519,
        4.658941739545056,
        4.658960811963594,
        4.658979407571667,
        4.6589984799902044,
        4.659017552408741,
        4.659036624827278,
        4.659055220435352,
        4.659074292853889,
        4.659093365272426,
        4.6591119608805,
        4.659131033299038,
        4.659150105717575,
        4.6591691781361115,
        4.659187773744185,
        4.659206846162722,
        4.659225918581259,
        4.659244514189333,
        4.65926358660787,
        4.659282659026408,
        4.659301254634481,
        4.659320327053019,
        4.6593393994715555,
        4.659357995079629,
        4.659377067498166,
        4.659396139916703,
        4.659414735524777,
        4.659433807943314,
        4.659452880361852,
        4.659471475969925,
        4.6594905483884625,
        4.6595096208069995,
        4.659528216415073,
        4.65954728883361,
        4.659566361252147,
        4.659584956860221,
        4.659604029278758,
        4.659622624886832,
        4.659641697305369,
        4.6596607697239065,
        4.65967936533198,
        4.659698437750517,
        4.659717510169054,
        4.659736105777128,
        4.659755178195665,
        4.659773773803739,
        4.659792846222276,
        4.659811918640813,
        4.6598305142488865,
        4.659849586667423,
        4.659868182275497,
        4.659887254694035,
        4.659905850302108,
        4.659924922720646,
        4.659943995139183,
        4.659962590747257,
        4.6599816631657935,
        4.660000258773867,
        4.660019331192404,
        4.660037926800478,
        4.660056999219015,
        4.660076071637552,
        4.660094667245626,
        4.660113739664164,
        4.660132335272237,
        4.660151407690774,
        4.660170003298847,
        4.660189075717385,
        4.660207671325459,
        4.660226743743996,
        4.66024533935207,
        4.660264411770607,
        4.6602830073786805,
        4.6603020797972174,
        4.660320675405291,
        4.660339747823828,
        4.660358343431902,
        4.660377415850439,
        4.660396011458513,
        4.66041508387705,
        4.6604336794851235,
        4.6604527519036605,
        4.660471347511734,
        4.660490419930271,
        4.660509015538345,
        4.660528087956883,
        4.660546683564956,
        4.660565755983494,
        4.6605843515915675,
        4.660603424010104,
        4.660622019618178,
        4.660640615226251,
        4.660659687644789,
        4.660772691724621,
        4.660791287332695,
        4.660809882940769,
        4.660828955359306,
        4.66084755096738,
        4.660866623385917,
        4.66088521899399,
        4.660903814602064,
        4.660922887020601,
        4.660941482628675,
        4.660960555047212,
        4.660979150655286,
        4.66099774626336,
        4.6610168186818965,
        4.66103541428997,
        4.661054486708507,
        4.661073082316581,
        4.661091677924655,
        4.661110750343192,
        4.661129345951266,
        4.6611479415593395,
        4.6611670139778765,
        4.66118560958595,
        4.661204682004487,
        4.661223277612561,
        4.661241873220635,
        4.661260945639172,
        4.661279541247246,
        4.6612981368553195,
        4.661317209273856,
        4.66133580488193,
        4.661354400490004,
        4.661373472908541,
        4.661392068516615,
        4.661410664124689,
        4.661429736543226,
        4.661448332151299,
        4.661466927759373,
        4.66148600017791,
        4.661504595785984,
        4.661523191394058,
        4.661541787002132,
        4.661560859420669,
        4.661579455028742,
        4.661598050636816,
        4.661617123055353,
        4.661635718663427,
        4.661654314271501,
        4.661672909879574,
        4.6616919822981115,
        4.661710577906185,
        4.661729173514258,
        4.661748245932796,
        4.66176684154087,
        4.661785437148943,
        4.661804032757017,
        4.6618231051755545,
        4.6618417007836275,
        4.661860296391701,
        4.661878891999775,
        4.661897964418312,
        4.661916560026386,
        4.66193515563446,
        4.6619537512425335,
        4.661972346850607,
        4.661991419269144,
        4.662010014877218,
        4.662028610485292,
        4.662047206093366,
        4.662066278511903,
        4.6620848741199765,
        4.66210346972805,
        4.662122065336123,
        4.662140660944197,
        4.662159733362735,
        4.662178328970808,
        4.662196924578882,
        4.6622155201869555,
        4.662234115795029,
        4.662252711403103,
        4.66227178382164,
        4.662290379429714,
        4.662308975037788,
        4.662327570645862,
        4.662346166253935,
        4.662364761862009,
        4.662383834280546,
        4.66240242988862,
        4.662421025496693,
        4.662439621104767,
        4.6624582167128406,
        4.662476812320914,
        4.662495407928988,
        4.662514480347525,
        4.662533075955599,
        4.662551671563673,
        4.662570267171747,
        4.66258886277982,
        4.662607458387894,
        4.662626053995967,
        4.662644649604041,
        4.662663722022579,
        4.662682317630652,
        4.662700913238726,
        4.662719508846799,
        4.662738104454873,
        4.662756700062947,
        4.662775295671021,
        4.662793891279095,
        4.662812486887168,
        4.6628310824952415,
        4.662849678103315,
        4.662868750521852,
        4.662887346129926,
        4.662905941738,
        4.662924537346074,
        4.6629431329541475,
        4.662961728562221,
        4.662980324170295,
        4.662998919778369,
        4.663017515386442,
        4.663036110994516,
        4.66305470660259,
        4.663073302210663,
        4.663091897818737,
        4.663110493426811,
        4.663129089034885,
        4.663147684642958,
        4.663166280251032,
        4.6631848758591055,
        4.663203471467179,
        4.663222067075253,
        4.663240662683327,
        4.663259258291401,
        4.663277853899475,
        4.6632964495075475,
        4.663315045115621,
        4.663333640723695,
        4.663352236331769,
        4.663370831939843,
        4.663389427547917,
        4.6634080231559905,
        4.663426618764064,
        4.663445214372137,
        4.663463809980211,
        4.663482405588285,
        4.663501001196359,
        4.6635195968044325,
        4.663538192412506,
        4.66355678802058,
        4.663575383628654,
        4.663593979236727,
        4.663612574844801,
        4.663631170452875,
        4.663649766060948,
        4.663668361669022,
        4.663686957277096,
        4.66370555288517,
        4.663724148493243,
        4.6637422672908535,
        4.663760862898927,
        4.663779458507001,
        4.663798054115075,
        4.663816649723148,
        4.663835245331222,
        4.663853840939296,
        4.663872436547369,
        4.663891032155443,
        4.663909627763517,
        4.663928223371591,
        4.663946342169201,
        4.6639649377772745,
        4.663983533385348,
        4.664002128993422,
        4.664020724601496,
        4.66403932020957,
        4.664057915817643,
        4.6640765114257166,
        4.664094630223327,
        4.664113225831401,
        4.664131821439475,
        4.664150417047548,
        4.664169012655622,
        4.6641876082636955,
        4.664206203871769,
        4.66422432266938,
        4.664242918277453,
        4.664261513885527,
        4.664280109493601,
        4.664298705101674,
        4.664317300709748,
        4.664335419507358,
        4.664354015115432,
        4.664372610723506,
        4.6643912063315796,
        4.664409801939653,
        4.664427920737263,
        4.664446516345337,
        4.664465111953411,
        4.664483707561485,
        4.6645023031695585,
        4.664520421967168,
        4.664539017575242,
        4.664557613183316,
        4.66457620879139,
        4.664594804399464,
        4.664612923197073,
        4.664631518805147,
        4.664650114413221,
        4.664668710021295,
        4.664686828818906,
        4.6647054244269786,
        4.664724020035052,
        4.664742615643126,
        4.6647612112512,
        4.664779330048811,
        4.664797925656884,
        4.6648165212649575,
        4.664834640062568,
        4.664853235670642,
        4.664871831278716,
        4.664890426886789,
        4.6649085456843995,
        4.664927141292473,
        4.664945736900547,
        4.664964332508621,
        4.664982451306231,
        4.665001046914305,
        4.665019642522378,
        4.665037761319988,
        4.665056356928062,
        4.665074952536136,
        4.66509354814421,
        4.66511166694182,
        4.665130262549893,
        4.665148858157967,
        4.665166976955578,
        4.665185572563652,
        4.665204168171725,
        4.665222286969335,
        4.665240882577409,
        4.665259478185483,
        4.665277596983093,
        4.665296192591167,
        4.6653147881992405,
        4.66533290699685,
        4.665351502604924,
        4.665370098212998,
        4.665388217010609,
        4.6654068126186825,
        4.665425408226755,
        4.665443527024366,
        4.66546212263244,
        4.66548024143005,
        4.665498837038124,
        4.6655174326461974,
        4.665535551443808,
        4.665554147051881,
        4.665572742659955,
        4.665590861457566,
        4.6656094570656395,
        4.665627575863249,
        4.665646171471323,
        4.665664767079397,
        4.665682885877007,
        4.665701481485081,
        4.665719600282691,
        4.665738195890765,
        4.665756791498839,
        4.665774910296449,
        4.665793505904523,
        4.665811624702132,
        4.665830220310206,
        4.665848339107817,
        4.665866934715891,
        4.665885530323965,
        4.665903649121574,
        4.665922244729648,
        4.665940363527259,
        4.665958959135332,
        4.665977077932943,
        4.665995673541016,
        4.666013792338626,
        4.6660323879467,
        4.666050983554774,
        4.666069102352385,
        4.6660876979604575,
        4.666105816758068,
        4.666124412366142,
        4.666142531163752,
        4.666161126771826,
        4.666179245569436,
        4.66619784117751,
        4.66621595997512,
        4.666234555583194,
        4.666252674380804,
        4.6662712699888775,
        4.666289388786488,
        4.666307984394562,
        4.666326103192172,
        4.666344698800246,
        4.666362817597856,
        4.666381413205929,
        4.66639953200354,
        4.666418127611614,
        4.666436246409224,
        4.6664548420172975,
        4.666472960814908,
        4.666491079612518,
        4.666509675220592,
        4.666527794018203,
        4.666546389626276,
        4.666564508423886,
        4.66658310403196,
        4.66660122282957,
        4.666619818437644,
        4.666637937235254,
        4.666656056032864,
        4.666674651640938,
        4.666692770438549,
        4.666711366046623,
        4.6667294848442324,
        4.666748080452306,
        4.666766199249917,
        4.666784318047527,
        4.666802913655601,
        4.6668210324532104,
        4.666839628061284,
        4.666857746858895,
        4.666875865656505,
        4.666894461264579,
        4.666912580062189,
        4.666931175670263,
        4.666949294467873,
        4.666967413265484,
        4.666986008873557,
        4.667004127671167,
        4.667022246468777,
        4.667040842076851,
        4.667058960874462,
        4.6670775564825355,
        4.667095675280145,
        4.667113794077756,
        4.66713238968583,
        4.66715050848344,
        4.66716862728105,
        4.667187222889124,
        4.667205341686734,
        4.667223460484345,
        4.667242056092418,
        4.667260174890028,
        4.667278293687638,
        4.667296889295712,
        4.667315008093323,
        4.667333126890933,
        4.667351722499006,
        4.667369841296617,
        4.667387960094227,
        4.667406555702301,
        4.6674246744999115,
        4.667442793297521,
        4.667460912095132,
        4.667479507703206,
        4.667497626500816,
        4.667515745298426,
        4.667534340906499,
        4.66755245970411,
        4.66757057850172,
        4.667588697299331,
        4.667607292907404,
        4.667625411705014,
        4.667643530502625,
        4.667662126110699,
        4.667680244908309,
        4.667698363705919,
        4.667716482503529,
        4.667735078111603,
        4.667753196909214,
        4.6677713157068235,
        4.667789434504434,
        4.667808030112508,
        4.667826148910118,
        4.6678442677077285,
        4.667862386505338,
        4.667880505302949,
        4.667899100911023,
        4.667917219708633,
        4.667935338506243,
        4.667953457303853,
        4.667972052911927,
        4.667990171709537,
        4.668008290507148,
        4.668026409304757,
        4.668044528102368,
        4.668063123710442,
        4.668081242508052,
        4.6680993613056625,
        4.668117480103272,
        4.668135598900883,
        4.668154194508957,
        4.668172313306567,
        4.668190432104177,
        4.668208550901787,
        4.668226669699398,
        4.668244788497008,
        4.668263384105082,
        4.668281502902692,
        4.668299621700302,
        4.668317740497913,
        4.668335859295523,
        4.668353978093133,
        4.668372096890743,
        4.668390692498817,
        4.668408811296428,
        4.6684269300940375,
        4.668445048891648,
        4.668463167689258,
        4.668481286486869,
        4.668499405284479,
        4.668518000892552,
        4.668536119690163,
        4.668554238487773,
        4.668572357285384,
        4.6685904760829935,
        4.668608594880604,
        4.668626713678214,
        4.668644832475825,
        4.668662951273435,
        4.668681546881508,
        4.668699665679119,
        4.668717784476729,
        4.66873590327434,
        4.6687540220719494,
        4.66877214086956,
        4.66879025966717,
        4.668808378464781,
        4.6688264972623905,
        4.668844616060001,
        4.668862734857611,
        4.668880853655222,
        4.668898972452832,
        4.668917091250442,
        4.668935210048052,
        4.668953805656126,
        4.668971924453737,
        4.6689900432513465,
        4.669008162048957,
        4.669026280846567,
        4.669044399644178,
        4.6690625184417875,
        4.669080637239398,
        4.669098756037008,
        4.669116874834619,
        4.669134993632229,
        4.669153112429839,
        4.669171231227449,
        4.66918935002506,
        4.66920746882267,
        4.66922558762028,
        4.66924370641789,
        4.669261825215501,
        4.669279944013111,
        4.6692980628107215,
        4.669316181608332,
        4.669334300405942,
        4.669352419203553,
        4.6693705380011625,
        4.669388656798773,
        4.669406775596383,
        4.669424894393994,
        4.669443013191604,
        4.669461131989214,
        4.669479250786824,
        4.669497369584435,
        4.669515488382045,
        4.669533130369191,
        4.669551249166802,
        4.669569367964412,
        4.669587486762023,
        4.6696056055596324,
        4.669623724357243,
        4.669641843154853,
        4.669659961952464,
        4.6696780807500735,
        4.669696199547684,
        4.669714318345294,
        4.669732437142905,
        4.6697505559405155,
        4.669768674738125,
        4.669786316725272,
        4.669804435522883,
        4.6698225543204925,
        4.669840673118103,
        4.669858791915713,
        4.669876910713324,
        4.669895029510934,
        4.669913148308544,
        4.669931267106154,
        4.669949385903765,
        4.669967027890912,
        4.669985146688521,
        4.670003265486132,
        4.670021384283743,
        4.670039503081353,
        4.670057621878963,
        4.670075740676573,
        4.67009338266372,
        4.670111501461331,
        4.67012962025894,
        4.670147739056551,
        4.670165857854161,
        4.670183976651772,
        4.6702020954493815,
        4.670219737436528,
        4.670237856234139,
        4.670255975031749,
        4.670274093829359,
        4.67029221262697,
        4.67031033142458,
        4.670327973411727,
        4.670346092209337,
        4.670364211006947,
        4.670382329804558,
        4.670400448602168,
        4.6704180905893145,
        4.670436209386925,
        4.670454328184535,
        4.670472446982146,
        4.6704905657797555,
        4.670508207766903,
        4.670526326564513,
        4.670544445362124,
        4.6705625641597335,
        4.67058020614688,
        4.670598324944491,
        4.670616443742101,
        4.670634562539711,
        4.670652681337321,
        4.670670323324469,
        4.670688442122079,
        4.670706560919689,
        4.670724679717299,
        4.670742321704446,
        4.670760440502057,
        4.6707785592996665,
        4.670796678097277,
        4.670814320084424,
        4.670832438882034,
        4.670850557679644,
        4.670868199666791,
        4.670886318464402,
        4.670904437262012,
        4.670922556059622,
        4.670940198046769,
        4.670958316844379,
        4.67097643564199,
        4.670994077629136,
        4.671012196426747,
        4.671030315224357,
        4.671048434021968,
        4.671066076009114,
        4.671084194806724,
        4.671102313604335,
        4.6711199555914815,
        4.671138074389091,
        4.671156193186702,
        4.671173835173849,
        4.6711919539714595,
        4.671210072769069,
        4.671227714756216,
        4.671245833553827,
        4.6712639523514365,
        4.671281594338583,
        4.671299713136194,
        4.671317831933805,
        4.671335473920951,
        4.671353592718561,
        4.671371711516172,
        4.671389353503319,
        4.6714074723009285,
        4.671425591098539,
        4.671443233085686,
        4.671461351883297,
        4.671478993870443,
        4.671497112668053,
        4.671515231465664,
        4.6715328734528105,
        4.67155099225042,
        4.671569111048031,
        4.671586753035178,
        4.6716048718327885,
        4.671622513819935,
        4.671640632617545,
        4.671658751415156,
        4.6716763934023025,
        4.671694512199912,
        4.67171215418706,
        4.67173027298467,
        4.671747914971816,
        4.671766033769427,
        4.671784152567037,
        4.6718017945541845,
        4.671819913351794,
        4.671837555338941,
        4.671855674136552,
        4.6718733161236985,
        4.671891434921308,
        4.671909553718919,
        4.671927195706066,
        4.6719453145036764,
        4.671962956490823,
        4.671981075288433,
        4.67199871727558,
        4.67201683607319,
        4.672034478060337,
        4.672052596857948,
        4.6720702388450945,
        4.672088357642704,
        4.672105999629851,
        4.672124118427462,
        4.6721417604146085,
        4.672159879212219,
        4.672177998009829,
        4.672195639996976,
        4.6722137587945864,
        4.672231400781733,
        4.672249519579343,
        4.672267161566491,
        4.6722852803641,
        4.672302922351247,
        4.672320564338394,
        4.6723386831360045,
        4.672356325123151,
        4.672374443920762,
        4.672392085907909,
        4.6724102047055185,
        4.672427846692665,
        4.672445965490276,
        4.672463607477423,
        4.672481726275033,
        4.67249936826218,
        4.67251748705979,
        4.672535129046937,
        4.672553247844547,
        4.672570889831694,
        4.672588531818841,
        4.672606650616451,
        4.672624292603598,
        4.672642411401209,
        4.6726600533883555,
        4.672678172185965,
        4.672695814173112,
        4.67271345616026,
        4.6727315749578695,
        4.672749216945016,
        4.672767335742627,
        4.672784977729774,
        4.67280261971692,
        4.672820738514531,
        4.672838380501678,
        4.672856499299288,
        4.672874141286434,
        4.672891783273582,
        4.672909902071192,
        4.672927544058338,
        4.672945662855949,
        4.672963304843096,
        4.672980946830243,
        4.672999065627853,
        4.673016707615,
        4.67303482641261,
        4.6730524683997565,
        4.673070110386904,
        4.673088229184514,
        4.673105871171661,
        4.673123513158807,
        4.673141631956418,
        4.673159273943565,
        4.6731769159307115,
        4.673195034728322,
        4.673212676715469,
        4.673230318702616,
        4.673248437500226,
        4.673266079487373,
        4.67328372147452,
        4.67330184027213,
        4.673319482259277,
        4.673337124246424,
        4.673355243044034,
        4.67337288503118,
        4.673390527018328,
        4.673408645815938,
        4.6734262878030846,
        4.673443929790231,
        4.673461571777379,
        4.673479690574989,
        4.673497332562135,
        4.673514974549282,
        4.673533093346893,
        4.6735507353340395,
        4.673568377321186,
        4.673586019308333,
        4.673604138105944,
        4.67362178009309,
        4.673639422080237,
        4.673657540877848,
        4.6736751828649945,
        4.673692824852141,
        4.673710466839288,
        4.673728585636899,
        4.673746227624045,
        4.673763869611192,
        4.673781511598339,
        4.6737996303959495,
        4.673817272383096,
        4.67385255635739,
        4.6739236011164405,
        4.673941243103587,
        4.673959361901198,
        4.673977003888345,
        4.673994645875491,
        4.674012287862638,
        4.674029929849785,
        4.674189661355034,
        4.674207303342181,
        4.674224945329327,
        4.674243064126937,
        4.674260706114085,
        4.6742783481012316,
        4.674295990088378,
        4.674313632075525,
        4.674331274062672,
        4.674349392860282,
        4.674367034847429,
        4.674384676834576,
        4.6744023188217225,
        4.674419960808869,
        4.674437602796017,
        4.6744552447831635,
        4.67447288677031,
        4.67449100556792,
        4.674508647555068,
        4.674526289542214,
        4.674543931529361,
        4.674561573516508,
        4.6745792155036545,
        4.674596857490801,
        4.674614499477948,
        4.674632618275559,
        4.674650260262705,
        4.674667902249852,
        4.674685544236999,
        4.674703186224146,
        4.674720828211293,
        4.67473847019844,
        4.6747561121855865,
        4.674773754172733,
        4.67479139615988,
        4.6748090381470275,
        4.674826680134174,
        4.674844798931784,
        4.674862440918931,
        4.674880082906078,
        4.674897724893225,
        4.674915366880372,
        4.6749330088675185,
        4.674950650854665,
        4.674968292841812,
        4.6749859348289595,
        4.675003576816106,
        4.675021218803253,
        4.6750388607904,
        4.675056502777546,
        4.675074144764693,
        4.67509178675184,
        4.675109428738987,
        4.675127070726134,
        4.675144712713281,
        4.6751623547004275,
        4.675179996687574,
        4.675197638674721,
        4.6752152806618685,
        4.675232922649015,
        4.675250564636162,
        4.675268206623309,
        4.675285848610455,
        4.675303490597602,
        4.67532113258475,
        4.675338774571896,
        4.675356416559043,
        4.67537405854619,
        4.6753917005333365,
        4.675409342520483,
        4.67542698450763,
        4.6754446264947775,
        4.675462268481924,
        4.675479910469071,
        4.675497552456218,
        4.675515194443364,
        4.675532836430511,
        4.675550478417659,
        4.675568120404805,
        4.675585762391952,
        4.675603404379099,
        4.6756210463662455,
        4.675638688353392,
        4.67565633034054,
        4.6756734955172226,
        4.67569113750437,
        4.675708779491517,
        4.675726421478664,
        4.67574406346581,
        4.675761705452957,
        4.675779347440104,
        4.67579698942725,
        4.675814631414398,
        4.675832273401545,
        4.675849915388691,
        4.675867080565375,
        4.675884722552522,
        4.6759023645396685,
        4.675920006526815,
        4.675937648513962,
        4.6759552905011095,
        4.675972932488256,
        4.675990574475403,
        4.67600821646255,
        4.676025381639233,
        4.67604302362638,
        4.676060665613527,
        4.676078307600673,
        4.67609594958782,
        4.676113591574968,
        4.676131233562114,
        4.676148398738798,
        4.676166040725945,
        4.676183682713091,
        4.676201324700238,
        4.676218966687385,
        4.6762366086745315,
        4.676254250661679,
        4.676271415838362,
        4.676289057825509,
        4.676306699812656,
        4.676324341799803,
        4.6763419837869495,
        4.676359148963633,
        4.67637679095078,
        4.676394432937927,
        4.676412074925073,
        4.67642971691222,
        4.676447358899368,
        4.67646452407605,
        4.676482166063198,
        4.676499808050345,
        4.676517450037491,
        4.676535092024638,
        4.676552257201322,
        4.676569899188468,
        4.676587541175615,
        4.676605183162762,
        4.676622348339445,
        4.676639990326592,
        4.676657632313739,
        4.676675274300886,
        4.676692439477569,
        4.676710081464717,
        4.676727723451863,
        4.67674536543901,
        4.676763007426157,
        4.67678017260284,
        4.676797814589987,
        4.676815456577134,
        4.6768330985642805,
        4.676850263740964,
        4.676867905728111,
        4.67855486114772,
        4.680346714869285,
        4.680367694529676,
        4.680388197379603,
        4.680409177039994,
        4.6804301567003845,
        4.680450659550313,
        4.680471639210703,
        4.680492618871094,
        4.680513598531485,
        4.680534101381412,
        4.680555081041803,
        4.680576060702194,
        4.680596563552121,
        4.680617543212512,
        4.680638522872903,
        4.68065902572283,
        4.680680005383222,
        4.680700985043612,
        4.68072148789354,
        4.68074246755393,
        4.680763447214321,
        4.6807839500642485,
        4.68080492972464,
        4.68082590938503,
        4.680846412234958,
        4.680867391895348,
        4.680887894745276,
        4.680908874405667,
        4.680929854066058,
        4.680950356915985,
        4.681220708448749,
        4.68124168810914,
        4.6812621909590675,
        4.681283170619459,
        4.681303673469386,
        4.681324653129777,
        4.681345155979704,
        4.681366135640094,
        4.6813866384900225,
        4.681407618150413,
        4.681428121000341,
        4.681449100660731,
        4.681469603510659,
        4.681490583171049,
        4.6815115628314405,
        4.681532065681368,
        4.681553045341759,
        4.681573548191686,
        4.681594527852077,
        4.681615030702004,
        4.6816360103623955,
        4.681656513212323,
        4.681677492872714,
        4.681697995722641,
        4.681718975383032,
        4.681739478232959,
        4.6817599810828865,
        4.681780960743278,
        4.681801463593205,
        4.681822443253596,
        4.681842946103523,
        4.681863925763914,
        4.6818844286138415,
        4.681905408274233,
        4.68192591112416,
        4.681946890784551,
        4.681967393634478,
        4.681987896484405,
        4.682008876144796,
        4.682029378994724,
        4.682050358655115,
        4.682070861505042,
        4.682091841165433,
        4.68211234401536,
        4.682132846865287,
        4.682153826525679,
        4.682174329375606,
        4.682195309035997,
        4.682215811885924,
        4.682236314735852,
        4.682257294396242,
        4.6822777972461695,
        4.682298300096098,
        4.682319279756488,
        4.682339782606416,
        4.682422747627053,
        4.68244325047698,
        4.682463753326907,
        4.682484732987298,
        4.682505235837225,
        4.682525738687152,
        4.6825467183475435,
        4.682567221197471,
        4.682587724047399,
        4.682608703707789,
        4.682629206557717,
        4.682649709407644,
        4.6826706890680345,
        4.682691191917963,
        4.68271169476789,
        4.682732674428281,
        4.682753177278208,
        4.682773680128135,
        4.682794182978063,
        4.6828151626384535,
        4.682835665488382,
        4.682856168338309,
        4.682877147998699,
        4.682897650848627,
        4.682918153698554,
        4.682938656548481,
        4.682959636208873,
        4.6829801390588,
        4.683000641908728,
        4.683021144758655,
        4.683042124419046,
        4.683062627268973,
        4.6830831301189,
        4.683103632968828,
        4.683124612629219,
        4.683145115479146,
        4.683165618329074,
        4.683186121179001,
        4.683207100839392,
        4.6832276036893195,
        4.683248106539247,
        4.683268609389174,
        4.683289112239102,
        4.683310091899492,
        4.68333059474942,
        4.683351097599347,
        4.6833716004492745,
        4.6833921032992025,
        4.683413082959593,
        4.683433585809521,
        4.683454088659448,
        4.683474591509375,
        4.683495094359302,
        4.68351559720923,
        4.683536576869621,
        4.683557079719549,
        4.683577582569476,
        4.683598085419403,
        4.683618588269331,
        4.683639091119258,
        4.683659593969185,
        4.683680573629577,
        4.683701076479504,
        4.683721579329431,
        4.683742082179359,
        4.683762585029286,
        4.683783087879213,
        4.683803590729141,
        4.6838240935790685,
        4.683845073239459,
        4.683865576089387,
        4.683886078939314,
        4.683906581789241,
        4.683927084639169,
        4.683947587489096,
        4.6839680903390235,
        4.6839885931889516,
        4.684009096038879,
        4.684029598888806,
        4.684050101738733,
        4.684071081399124,
        4.684091584249051,
        4.684112087098979,
        4.684132589948907,
        4.684153092798834,
        4.684173595648761,
        4.684194098498689,
        4.684214601348616,
        4.684235104198543,
        4.684255607048471,
        4.6842761098983985,
        4.684296612748326,
        4.684317115598254,
        4.684337618448181,
        4.684358121298108,
        4.684378624148035,
        4.684399126997963,
        4.68441962984789,
        4.684440132697818,
        4.684460635547746,
        4.684481138397673,
        4.6845016412476,
        4.684522144097527,
        4.684542646947455,
        4.684563149797382,
        4.6845836526473095,
        4.6846041554972375,
        4.684624658347165,
        4.684645161197092,
        4.68466566404702,
        4.684686166896947,
        4.684706669746874,
        4.684727172596801,
        4.684747675446729,
        4.684768178296657,
        4.684788681146584,
        4.684809183996512,
        4.684829210035976,
        4.684849712885903,
        4.68487021573583,
        4.684890718585757,
        4.684911221435685,
        4.6849317242856126,
        4.68495222713554,
        4.684972729985468,
        4.684993232835395,
        4.685013735685322,
        4.685034238535249,
        4.685054741385177,
        4.685074767424641,
        4.6850952702745685,
        4.685115773124496,
        4.685136275974424,
        4.685156778824351,
        4.685177281674278,
        4.685197784524205,
        4.685218287374133,
        4.685238313413597,
        4.6852588162635245,
        4.685279319113452,
        4.68529982196338,
        4.685320324813307,
        4.685340827663234,
        4.685361330513161,
        4.685381356552625,
        4.685401859402553,
        4.68542236225248,
        4.685442865102408,
        4.685463367952336,
        4.685483870802263,
        4.685503896841727,
        4.685524399691654,
        4.685544902541581,
        4.685565405391509,
        4.685585908241436,
        4.6856059342809,
        4.685626437130828,
        4.685646939980755,
        4.685667442830683,
        4.68568794568061,
        4.685707971720074,
        4.685728474570001,
        4.685748977419929,
        4.685769480269856,
        4.6857895063093205,
        4.685810009159248,
        4.685830512009175,
        4.685851014859103,
        4.685871040898567,
        4.685891543748494,
        4.685912046598421,
        4.685932549448348,
        4.685952575487812,
        4.6859730783377405,
        4.685993581187668,
        4.686014084037595,
        4.686034110077059,
        4.686054612926987,
        4.686075115776914,
        4.686095141816378,
        4.686115644666305,
        4.686136147516232,
        4.6861566503661605,
        4.6861766764056245,
        4.686197179255552,
        4.686217682105479,
        4.686237708144943,
        4.68625821099487,
        4.686278713844798,
        4.686298739884262,
        4.686319242734189,
        4.6863397455841165,
        4.6863597716235805,
        4.686380274473508,
        4.686400777323436,
        4.6864208033629,
        4.686441306212827,
        4.686461809062754,
        4.686481835102218,
        4.686502337952145,
        4.686522840802073,
        4.686542866841537,
        4.686563369691465,
        4.686583872541392,
        4.686603898580856,
        4.686624401430784,
        4.686644427470247,
        4.686664930320175,
        4.686685433170102,
        4.686705459209566,
        4.686725962059493,
        4.6867459880989575,
        4.6867664909488855,
        4.686786993798813,
        4.686807019838277,
        4.686827522688204,
        4.686847548727668,
        4.686868051577595,
        4.686888554427523,
        4.686908580466986,
        4.686929083316914,
        4.686949109356378,
        4.686969612206306,
        4.68698963824577,
        4.687010141095697,
        4.687030167135161,
        4.687050669985088,
        4.687071172835016,
        4.68709119887448,
        4.687111701724407,
        4.687131727763871,
        4.6871522306137985,
        4.6871722566532625,
        4.68719275950319,
        4.687212785542654,
        4.687233288392582,
        4.687253314432046,
        4.687273817281973,
        4.687293843321437,
        4.687314346171364,
        4.687334372210828,
        4.687354875060755,
        4.6873749011002195,
        4.6873954039501475,
        4.687415429989612,
        4.687435932839539,
        4.687455958879003,
        4.68747646172893,
        4.687496487768394,
        4.687516990618321,
        4.687537016657785,
        4.687557042697249,
        4.687577545547176,
        4.6875975715866405,
        4.6876180744365685,
        4.687638100476033,
        4.68765860332596,
        4.687678629365424,
        4.687699132215351,
        4.687719158254815,
        4.687739184294279,
        4.687759687144206,
        4.68777971318367,
        4.687800216033598,
        4.6878202420730615,
        4.6878407449229895,
        4.687860770962454,
        4.687880797001918,
        4.687901299851845,
        4.687921325891309,
        4.687941828741236,
        4.6879618547807,
        4.687981880820164,
        4.688002383670091,
        4.688022409709555,
        4.688042435749019,
        4.688062938598947,
        4.688082964638411,
        4.688103467488339,
        4.688123493527803,
        4.688143519567267,
        4.688164022417194,
        4.688184048456658,
        4.688204074496122,
        4.688224577346049,
        4.688244603385513,
        4.688264629424977,
        4.688285132274904,
        4.6883051583143684,
        4.6883251843538325,
        4.68834568720376,
        4.688365713243224,
        4.688385739282688,
        4.688406242132616,
        4.68842626817208,
        4.688446294211543,
        4.688466320251007,
        4.688486823100935,
        4.688506849140399,
        4.688526875179863,
        4.68854737802979,
        4.688567404069254,
        4.6885874301087185,
        4.6886074561481825,
        4.68862795899811,
        4.688647985037574,
        4.688668011077038,
        4.688688513926965,
        4.688708539966429,
        4.688728566005893,
        4.688748592045357,
        4.688769094895284,
        4.688789120934748,
        4.688809146974212,
        4.688829173013676,
        4.6888491990531405,
        4.688869701903068,
        4.688889727942532,
        4.688909753981996,
        4.68892978002146,
        4.688950282871387,
        4.688970308910851,
        4.688990334950315,
        4.689010360989779,
        4.689030387029243,
        4.68905088987917,
        4.689070915918634,
        4.689090941958098,
        4.689110967997562,
        4.6891309940370265,
        4.689151496886954,
        4.689171522926418,
        4.689191548965882,
        4.689211575005346,
        4.68923160104481,
        4.689251627084274,
        4.689272129934201,
        4.689292155973665,
        4.689312182013129,
        4.689332208052593,
        4.689352234092057,
        4.689372260131521,
        4.689392286170985,
        4.6894127890209125,
        4.689432815060377,
        4.689452841099841,
        4.689472867139305,
        4.689492893178769,
        4.689512919218233,
        4.689532945257697,
        4.689552971297161,
        4.689573474147088,
        4.689593500186552,
        4.689613526226016,
        4.68963355226548,
        4.689653578304944,
        4.689673604344408,
        4.689693630383872,
        4.689713656423336,
        4.6897336824628,
        4.6897537085022645,
        4.6897737345417285,
        4.689793760581193,
        4.68981426343112,
        4.689834289470584,
        4.689854315510048,
        4.689874341549512,
        4.689894367588976,
        4.689914393628439,
        4.689934419667903,
        4.689954445707367,
        4.689974471746831,
        4.689994497786295,
        4.690014523825759,
        4.690034549865223,
        4.690054575904687,
        4.6900746019441515,
        4.6900946279836155,
        4.69011465402308,
        4.690134680062544,
        4.690154706102008,
        4.690174732141472,
        4.690194758180936,
        4.6902147842204,
        4.690234810259863,
        4.690254836299327,
        4.690274862338791,
        4.690294888378255,
        4.690314914417719,
        4.690334940457183,
        4.690354966496647,
        4.690374992536111,
        4.690395018575575,
        4.690415044615039,
        4.6904350706545035,
        4.6904550966939675,
        4.690475122733432,
        4.690495148772896,
        4.69051517481236,
        4.690535200851824,
        4.690554750080824,
        4.690574776120288,
        4.690594802159752,
        4.690614828199216,
        4.69063485423868,
        4.690654880278144,
        4.690674906317608,
        4.690694932357072,
        4.690714958396536,
        4.690734984436,
        4.690755010475464,
        4.690775036514927,
        4.690794585743928,
        4.690814611783392,
        4.6908346378228565,
        4.6908546638623205,
        4.690874689901785,
        4.690894715941249,
        4.690914741980713,
        4.691054447446497,
        4.691074473485961,
        4.691094022714961,
        4.691114048754425,
        4.691134074793889,
        4.691154100833353,
        4.691174126872817,
        4.691194152912281,
        4.691213702141282,
        4.691233728180746,
        4.69125375422021,
        4.691273780259674,
        4.691293806299138,
        4.6913133555281386,
        4.691333381567603,
        4.691353407607067,
        4.691373433646531,
        4.691393459685995,
        4.691413008914995,
        4.691433034954459,
        4.691453060993923,
        4.691473087033387,
        4.691493113072851,
        4.691512662301852,
        4.691532688341316,
        4.69155271438078,
        4.691572740420243,
        4.691592289649244,
        4.691612315688708,
        4.691632341728172,
        4.691652367767636,
        4.691671916996636,
        4.6916919430361,
        4.691711969075564,
        4.6917319951150285,
        4.691751544344029,
        4.6917715703834935,
        4.6917915964229575,
        4.691811145651958,
        4.691831171691422,
        4.691851197730886,
        4.69187122377035,
        4.691890772999351,
        4.691910799038815,
        4.691930825078279,
        4.691950374307279,
        4.691970400346743,
        4.691990426386207,
        4.692009975615208,
        4.692030001654672,
        4.692050027694135,
        4.692069576923136,
        4.6920896029626,
        4.692109629002064,
        4.692129178231064,
        4.692149204270528,
        4.692169230309992,
        4.692188779538993,
        4.692208805578457,
        4.692228831617921,
        4.692248380846921,
        4.692268406886385,
        4.692288432925849,
        4.69230798215485,
        4.692328008194314,
        4.692348034233778,
        4.6923675834627785,
        4.6923876095022425,
        4.6924071587312435,
        4.6924271847707075,
        4.692447210810172,
        4.692466760039172,
        4.692486786078636,
        4.692506335307637,
        4.692526361347101,
        4.692546387386565,
        4.692565936615565,
        4.692585962655029,
        4.69260551188403,
        4.692625537923494,
        4.692645087152494,
        4.692665113191958,
        4.692685139231422,
        4.692704688460423,
        4.692724714499887,
        4.692744263728887,
        4.692764289768351,
        4.692783838997352,
        4.692803865036816,
        4.692823414265816,
        4.69284344030528,
        4.692863466344744,
        4.692883015573745,
        4.692903041613209,
        4.692922590842209,
        4.692942616881673,
        4.692962166110674,
        4.692982192150138,
        4.693001741379138,
        4.693021767418602,
        4.693041316647603,
        4.693061342687067,
        4.693080891916067,
        4.693100917955531,
        4.693120467184532,
        4.693140493223996,
        4.6931600424529964,
        4.6931800684924605,
        4.693199617721461,
        4.6932196437609255,
        4.6932391929899255,
        4.69325921902939,
        4.6932787682583905,
        4.6932983174873915,
        4.693318343526855,
        4.693337892755856,
        4.69335791879532,
        4.6933774680243205,
        4.693397494063785,
        4.693417043292785,
        4.693437069332249,
        4.69345661856125,
        4.69347616779025,
        4.693496193829714,
        4.693515743058715,
        4.693535769098179,
        4.693555318327179,
        4.693575344366643,
        4.693594893595644,
        4.693614442824644,
        4.693634468864108,
        4.693654018093109,
        4.693674044132573,
        4.693693593361573,
        4.693713142590574,
        4.693733168630038,
        4.693752717859038,
        4.693772267088039,
        4.693792293127503,
        4.693811842356504,
        4.693831868395968,
        4.693851417624968,
        4.693870966853969,
        4.693890992893433,
        4.693910542122433,
        4.693930091351434,
        4.693950117390898,
        4.693969666619898,
        4.693989215848899,
        4.694009241888363,
        4.694028791117363,
        4.694048340346364,
        4.694068366385828,
        4.694087915614828,
        4.694107464843829,
        4.694127490883293,
        4.694147040112294,
        4.694166589341294,
        4.694186615380758,
        4.694206164609759,
        4.694225713838759,
        4.694245739878223,
        4.694265289107224,
        4.694284838336224,
        4.694304387565225,
        4.694324413604689,
        4.694343962833689,
        4.69436351206269,
        4.694383538102154,
        4.694403087331155,
        4.694422636560155,
        4.694442185789156,
        4.69446221182862,
        4.69448176105762,
        4.694501310286621,
        4.694520859515621,
        4.694540885555085,
        4.694560434784086,
        4.694579984013087,
        4.694599533242087,
        4.694619559281551,
        4.694639108510552,
        4.694658657739552,
        4.694678206968553,
        4.694697756197553,
        4.694717782237017,
        4.694737331466018,
        4.694756880695018,
        4.694776429924019,
        4.69479597915302,
        4.694816005192484,
        4.694835554421484,
        4.694855103650485,
        4.694874652879485,
        4.694894202108486,
        4.69491422814795,
        4.69493377737695,
        4.694953326605951,
        4.694972875834952,
        4.694992425063952,
        4.695011974292953,
        4.695032000332417,
        4.695051549561417,
        4.695071098790418,
        4.695090648019418,
        4.695110197248419,
        4.69512974647742,
        4.69514929570642,
        4.695169321745884,
        4.695188870974885,
        4.695208420203885,
        4.695227969432886,
        4.695247518661886,
        4.695267067890887,
        4.695286617119888,
        4.695306166348888,
        4.695326192388352,
        4.695345741617353,
        4.695365290846353,
        4.695384840075354,
        4.695404389304354,
        4.695423938533355,
        4.695443487762356,
        4.695463036991356,
        4.695482586220357,
        4.695502135449357,
        4.695522161488821,
        4.695541710717822,
        4.695561259946822,
        4.695580809175823,
        4.695600358404824,
        4.695619907633824,
        4.695639456862825,
        4.695659006091825,
        4.695678555320826,
        4.695698104549827,
        4.695717653778827,
        4.695737203007828,
        4.695756752236828,
        4.695776301465829,
        4.695795850694829,
        4.69581539992383,
        4.695834949152831,
        4.695854498381831,
        4.695874047610832,
        4.695893596839832,
        4.695913146068833,
        4.695932695297833,
        4.695952244526834,
        4.6959717937558345,
        4.695991342984835,
        4.6960108922138355,
        4.6960304414428355,
        4.6960499906718365,
        4.696069539900837,
        4.6960890891298375,
        4.696108638358838,
        4.6961281875878385,
        4.696147736816839,
        4.696167286045839,
        4.69618683527484,
        4.696206384503841,
        4.696225933732841,
        4.696245482961842,
        4.696265032190842,
        4.696284581419843,
        4.696304130648844,
        4.696323679877844,
        4.696343229106845,
        4.696362778335845,
        4.696382327564846,
        4.696401399983383,
        4.696420949212384,
        4.696440498441384,
        4.696460047670385,
        4.696479596899385,
        4.696499146128386,
        4.696518695357387,
        4.696538244586387,
        4.696557793815388,
        4.696577343044388,
        4.696596892273389,
        4.696615964691926,
        4.696635513920927,
        4.696655063149927,
        4.696674612378928,
        4.696694161607928,
        4.696713710836929,
        4.69673326006593,
        4.69675280929493,
        4.696771881713467,
        4.696791430942468,
        4.696810980171469,
        4.696830529400469,
        4.69685007862947,
        4.69686962785847,
        4.6968887002770074,
        4.6969082495060075,
        4.696927798735008,
        4.6969473479640085,
        4.696966897193009,
        4.6969864464220095,
        4.697005518840547,
        4.697025068069547,
        4.697044617298548,
        4.697064166527548,
        4.697083715756549,
        4.69710326498555,
        4.697122337404087,
        4.697141886633087,
        4.697161435862088,
        4.697180985091089,
        4.697200057509626,
        4.697219606738626,
        4.697239155967627,
        4.697258705196628,
        4.697278254425628,
        4.697297326844165,
        4.697316876073166,
        4.697336425302167,
        4.697355974531167,
        4.697375046949704,
        4.697394596178705,
        4.697414145407705,
        4.697433694636706,
        4.697452767055243,
        4.6974723162842436,
        4.697491865513244,
        4.6975114147422445,
        4.6975304871607815,
        4.697550036389782,
        4.6975695856187825,
        4.697589134847783,
        4.69760820726632,
        4.697627756495321,
        4.697647305724321,
        4.697666378142859,
        4.697685927371859,
        4.69770547660086,
        4.697724549019397,
        4.697744098248398,
        4.697763647477398,
        4.697783196706399,
        4.697802269124936,
        4.697821818353937,
        4.697841367582937,
        4.697860440001474,
        4.697879989230475,
        4.697899538459476,
        4.697918610878013,
        4.697938160107013,
        4.697957709336014,
        4.697976781754551,
        4.6979963309835515,
        4.698015880212552,
        4.698034952631089,
        4.698054501860089,
        4.698073574278626,
        4.698093123507627,
        4.698112672736628,
        4.698131745155165,
        4.698151294384165,
        4.698170843613166,
        4.698189916031703,
        4.698209465260704,
        4.698228537679241,
        4.698248086908242,
        4.698267636137242,
        4.698286708555779,
        4.69830625778478,
        4.698325330203317,
        4.698344879432318,
        4.698364428661318,
        4.698383501079856,
        4.698403050308856,
        4.698422122727393,
        4.6984416719563935,
        4.69846074437493,
        4.698480293603931,
        4.698499842832931,
        4.698518915251469,
        4.698538464480469,
        4.698557536899006,
        4.698577086128007,
        4.698596158546544,
        4.698615707775545,
        4.698634780194082,
        4.698654329423083,
        4.698673878652083,
        4.69869295107062,
        4.698712500299621,
        4.698731572718158,
        4.698751121947159,
        4.698770194365696,
        4.698789743594697,
        4.6988088160132335,
        4.698828365242234,
        4.698847437660771,
        4.6988669868897714,
        4.698886059308308,
        4.698905608537309,
        4.698924680955846,
        4.698944230184847,
        4.698963302603384,
        4.698982851832385,
        4.699001924250922,
        4.699021473479922,
        4.69904054589846,
        4.69906009512746,
        4.699079167545997,
        4.699098239964535,
        4.699117789193535,
        4.699136861612072,
        4.699156410841073,
        4.6991754832596095,
        4.6991950324886105,
        4.699214104907147,
        4.699233654136148,
        4.699252726554685,
        4.699271798973222,
        4.699291348202223,
        4.69931042062076,
        4.69932996984976,
        4.699349042268298,
        4.699368591497298,
        4.699387663915836,
        4.699406736334373,
        4.699426285563373,
        4.699445357981911,
        4.699464907210911,
        4.699483979629448,
        4.6995030520479855,
        4.6995226012769855,
        4.6995416736955224,
        4.699561222924523,
        4.69958029534306,
        4.699599367761597,
        4.699618916990598,
        4.699772926770286,
        4.699791999188823,
        4.69981107160736,
        4.6998306208363605,
        4.699849693254897,
        4.699868765673434,
        4.699888314902435,
        4.699907387320972,
        4.699926459739509,
        4.69994600896851,
        4.699965081387047,
        4.699984153805584,
        4.700003226224122,
        4.700022775453122,
        4.700041847871659,
        4.700060920290197,
        4.700080469519197,
        4.700099541937734,
        4.700118614356271,
        4.700137686774808,
        4.700157236003809,
        4.700176308422346,
        4.700195380840883,
        4.700214930069884,
        4.700234002488421,
        4.700253074906958,
        4.700272147325495,
        4.700291696554496,
        4.700310768973033,
        4.70032984139157,
        4.700348913810107,
        4.700368463039108,
        4.7003875354576445,
        4.700406607876182,
        4.700425680294719,
        4.700445229523719,
        4.700464301942257,
        4.700483374360794,
        4.700502446779331,
        4.700521519197868,
        4.700541068426869,
        4.700560140845406,
        4.700579213263943,
        4.700598285682481,
        4.700617834911481,
        4.700636907330018,
        4.700655979748555,
        4.700675052167092,
        4.700694124585629,
        4.700713197004166,
        4.700732746233167,
        4.700751818651704,
        4.700770891070241,
        4.700789963488778,
        4.700809035907316,
        4.700828585136316,
        4.700847657554854,
        4.700866729973391,
        4.7008858023919275,
        4.7009048748104645,
        4.700923947229001,
        4.700943019647539,
        4.700962568876539,
        4.700981641295076,
        4.701000713713614,
        4.701019786132151,
        4.701038858550688,
        4.701057930969225,
        4.701077003387763,
        4.701096552616763,
        4.7011156250353,
        4.7011346974538375,
        4.701153769872374,
        4.701172842290911,
        4.701191914709448,
        4.701210987127986,
        4.701230059546523,
        4.70124913196506,
        4.701268204383597,
        4.701287753612598,
        4.701306826031135,
        4.701325898449672,
        4.701344970868209,
        4.7013640432867465,
        4.7013831157052834,
        4.70140218812382,
        4.701421260542357,
        4.701440332960895,
        4.701459405379432,
        4.701478477797969,
        4.701497550216506,
        4.701516622635043,
        4.701535695053581,
        4.701554767472118,
        4.701573839890655,
        4.7015929123091915,
        4.7016124615381925,
        4.701631533956729,
        4.701650606375266,
        4.701669678793804,
        4.701688751212341,
        4.701707823630878,
        4.701726896049415,
        4.701745968467953,
        4.70176504088649,
        4.701784113305027,
        4.701803185723564,
        4.7018222581421005,
        4.701841330560638,
        4.701860402979175,
        4.701879475397712,
        4.701898547816249,
        4.701917620234787,
        4.701936692653324,
        4.701955765071861,
        4.701974837490398,
        4.701993433098472,
        4.702012505517009,
        4.702031577935546,
        4.702050650354083,
        4.70206972277262,
        4.702088795191157,
        4.702107867609694,
        4.702126940028232,
        4.702146012446769,
        4.702165084865306,
        4.702184157283843,
        4.702203229702381,
        4.7022223021209175,
        4.7022413745394545,
        4.702260446957991,
        4.702279519376529,
        4.702298591795066,
        4.70231718740314,
        4.702336259821677,
        4.702355332240214,
        4.702374404658751,
        4.702393477077289,
        4.7024125494958255,
        4.7024316219143625,
        4.702450694332899,
        4.702469766751436,
        4.70248836235951,
        4.702507434778048,
        4.702526507196585,
        4.702545579615122,
        4.702564652033659,
        4.702583724452196,
        4.702602796870734,
        4.7026218692892705,
        4.702640464897344,
        4.702659537315881,
        4.702678609734418,
        4.702697682152955,
        4.702716754571493,
        4.70273582699003,
        4.702754899408567,
        4.702773495016641,
        4.702792567435178,
        4.7028116398537145,
        4.702830712272252,
        4.702849784690789,
        4.702868380298863,
        4.7028874527174,
        4.702906525135937,
        4.702925597554474,
        4.702944669973012,
        4.702963742391549,
        4.7029823379996225,
        4.7030014104181594,
        4.703020482836696,
        4.703039555255233,
        4.703058150863307,
        4.703077223281845,
        4.703096295700382,
        4.703115368118919,
        4.703134440537456,
        4.70315303614553,
        4.7031721085640665,
        4.703191180982604,
        4.703210253401141,
        4.703228849009215,
        4.703247921427752,
        4.703266993846289,
        4.703286066264826,
        4.7033046618729,
        4.703323734291437,
        4.7033428067099745,
        4.7033618791285114,
        4.703380474736585,
        4.703399547155122,
        4.703418619573659,
        4.703437691992196,
        4.70345628760027,
        4.703475360018807,
        4.703494432437345,
        4.7035130280454185,
        4.703532100463955,
        4.703551172882492,
        4.703569768490566,
        4.703588840909103,
        4.70360791332764,
        4.703626985746178,
        4.703645581354251,
        4.703664653772789,
        4.703683726191326,
        4.703702321799399,
        4.703721394217936,
        4.703740466636473,
        4.703759062244547,
        4.703778134663084,
        4.703797207081622,
        4.703815802689695,
        4.703834875108233,
        4.7038539475267696,
        4.703872543134843,
        4.70389161555338,
        4.703910687971917,
        4.703929283579991,
        4.703948355998528,
        4.703966951606602,
        4.703986024025139,
        4.704005096443677,
        4.7040236920517495,
        4.704042764470287,
        4.704061836888824,
        4.704080432496898,
        4.704099504915435,
        4.704118100523509,
        4.704137172942046,
        4.704156245360583,
        4.704174840968657,
        4.7041939133871935,
        4.704212508995267,
        4.704231581413805,
        4.704250653832342,
        4.704269249440416,
        4.704288321858953,
        4.704306917467027,
        4.704325989885564,
        4.704344585493637,
        4.704363657912174,
        4.704382730330711,
        4.704401325938785,
        4.704420398357322,
        4.704438993965396,
        4.704458066383933,
        4.704476661992007,
        4.7044957344105445,
        4.704514330018617,
        4.704533402437155,
        4.704551998045229,
        4.704571070463766,
        4.70458966607184,
        4.704608738490377,
        4.704627810908914,
        4.7046464065169875,
        4.7046654789355244,
        4.704684074543598,
        4.704703146962135,
        4.704721742570209,
        4.704740814988746,
        4.70475941059682,
        4.704778483015357,
        4.7047970786234306,
        4.704816151041968,
        4.704834746650041,
        4.704853819068579,
        4.704872414676653,
        4.704891010284726,
        4.704910082703264,
        4.704928678311337,
        4.7049477507298745,
        4.704966346337948,
        4.704985418756485,
        4.705004014364559,
        4.705023086783096,
        4.70504168239117,
        4.705060754809707,
        4.705079350417781,
        4.705097946025854,
        4.705117018444391,
        4.705135614052465,
        4.705154686471002,
        4.705173282079076,
        4.705192354497613,
        4.705210950105687,
        4.7052295457137605,
        4.7052486181322974,
        4.705267213740371,
        4.705286286158908,
        4.705304881766982,
        4.705323954185519,
        4.705342549793593,
        4.705361145401667,
        4.7053802178202035,
        4.705398813428277,
        4.705417409036351,
        4.705436481454888,
        4.705455077062962,
        4.705474149481499,
        4.705492745089573,
        4.7055113406976465,
        4.7055304131161835,
        4.705549008724257,
        4.705567604332331,
        4.705586676750868,
        4.705605272358942,
        4.705624344777479,
        4.705642940385553,
        4.7056615359936265,
        4.705680608412163,
        4.705699204020237,
        4.705717799628311,
        4.705736872046848,
        4.705755467654922,
        4.705774063262996,
        4.705793135681533,
        4.705811731289606,
        4.70583032689768,
        4.705848922505754,
        4.705867994924291,
        4.705886590532365,
        4.705905186140439,
        4.705924258558976,
        4.705942854167049,
        4.705961449775123,
        4.70598052219366,
        4.705999117801734,
        4.706017713409808,
        4.706036309017882,
        4.7060553814364185,
        4.706073977044492,
        4.706092572652566,
        4.706111645071103,
        4.706130240679177,
        4.706148836287251,
        4.706167431895324,
        4.7061865043138615,
        4.706205099921935,
        4.706223695530008,
        4.706242291138082,
        4.70626136355662,
        4.706279959164693,
        4.706298554772767,
        4.7063171503808405,
        4.7063362227993775,
        4.706354818407451,
        4.706373414015525,
        4.706392009623599,
        4.706410605231673,
        4.70642967765021,
        4.7064482732582835,
        4.706466868866357,
        4.706485464474431,
        4.706504060082505,
        4.706523132501042,
        4.706541728109116,
        4.70656032371719,
        4.7065789193252625,
        4.706597514933336,
        4.706616587351873,
        4.706635182959947,
        4.706653778568021,
        4.706672374176095,
        4.706690969784169,
        4.706709565392242,
        4.706728637810779,
        4.706747233418853,
        4.706765829026927,
        4.706784424635001,
        4.706803020243075,
        4.7068216158511476,
        4.706840688269685,
        4.706859283877759,
        4.706877879485832,
        4.706896475093906,
        4.70691507070198,
        4.706933666310054,
        4.706952261918127,
        4.706971334336664,
        4.706989929944738,
        4.707008525552812,
        4.707027121160886,
        4.70704571676896,
        4.707064312377033,
        4.707082907985106,
        4.70710150359318,
        4.707120099201254,
        4.707138694809328,
        4.707157767227865,
        4.707176362835939,
        4.7071949584440125,
        4.707213554052086,
        4.70723214966016,
        4.707250745268234,
        4.707269340876307,
        4.707287936484381,
        4.7073065320924545,
        4.707325127700528,
        4.707343723308602,
        4.707362318916676,
        4.70738091452475,
        4.707399510132823,
        4.707418582551361,
        4.707437178159434,
        4.707455773767507,
        4.707474369375581,
        4.707492964983655,
        4.707511560591729,
        4.707530156199803,
        4.7075487518078765,
        4.70756734741595,
        4.707585943024024,
        4.707604538632097,
        4.707623134240171,
        4.707641729848245,
        4.7076603254563185,
        4.707678921064392,
        4.707697516672466,
        4.70771611228054,
        4.707734707888613,
        4.707753303496687,
        4.707771899104761,
        4.707790494712834,
        4.707809090320908,
        4.707827685928982,
        4.707846281537056,
        4.70786487714513,
        4.707883472753203,
        4.7079020683612764,
        4.70792066396935,
        4.707939259577424,
        4.707957855185498,
        4.707976450793572,
        4.707995046401646,
        4.708013165199255,
        4.708031760807329,
        4.708050356415403,
        4.708068952023477,
        4.708087547631551,
        4.7081061432396245,
        4.708124738847697,
        4.708143334455771,
        4.708161930063845,
        4.708180525671919,
        4.708199121279993,
        4.708217716888067,
        4.70823631249614,
        4.708254908104213,
        4.708273026901824,
        4.708291622509898,
        4.708310218117972,
        4.7083288137260455,
        4.708347409334118,
        4.708366004942192,
        4.708384600550266,
        4.70840319615834,
        4.708606794226224,
        4.708625389834298,
        4.708643985442372,
        4.708662581050445,
        4.708681176658518,
        4.708699295456129,
        4.708717891064203,
        4.708736486672277,
        4.708755082280351,
        4.7087736778884235,
        4.708791796686034,
        4.708810392294108,
        4.708828987902182,
        4.708847583510256,
        4.708866179118329,
        4.708884774726402,
        4.708902893524013,
        4.708921489132087,
        4.708940084740161,
        4.708958680348234,
        4.7089772759563076,
        4.708995394753918,
        4.709013990361992,
        4.709032585970066,
        4.709051181578139,
        4.70906930037575,
        4.709087895983823,
        4.709106491591897,
        4.709125087199971,
        4.709143205997581,
        4.709161801605655,
        4.7091803972137285,
        4.709198992821802,
        4.709217111619412,
        4.709235707227486,
        4.70925430283556,
        4.709272898443634,
        4.709291017241243,
        4.709309612849317,
        4.709328208457391,
        4.709346804065465,
        4.709364922863075,
        4.7093835184711486,
        4.709402114079222,
        4.709420232876833,
        4.709438828484907,
        4.70945742409298,
        4.709476019701054,
        4.709494138498664,
        4.709512734106738,
        4.709531329714812,
        4.709549448512422,
        4.709568044120496,
        4.7095866397285695,
        4.709604758526179,
        4.709623354134253,
        4.709641949742327,
        4.709660068539938,
        4.709678664148011,
        4.709697259756084,
        4.709715378553695,
        4.709733974161769,
        4.709752569769843,
        4.709770688567453,
        4.7097892841755264,
        4.7098078797836,
        4.70982599858121,
        4.709844594189284,
        4.709863189797358,
        4.7098813085949685,
        4.709899904203041,
        4.709918499811115,
        4.709936618608726,
        4.7099552142168,
        4.70997333301441,
        4.709991928622483,
        4.710010524230557,
        4.710028643028168,
        4.710047238636241,
        4.710065357433852,
        4.710083953041925,
        4.710102548649999,
        4.710120667447609,
        4.710139263055683,
        4.710157381853294,
        4.7101759774613665,
        4.71019457306944,
        4.710212691867051,
        4.710231287475125,
        4.710249406272735,
        4.7102680018808085,
        4.710286597488882,
        4.710304716286492,
        4.710323311894566,
        4.710341430692177,
        4.7103600263002505,
        4.71037814509786,
        4.710396740705934,
        4.710414859503545,
        4.710433455111618,
        4.7104515739092285,
        4.710470169517302,
        4.710488765125376,
        4.710506883922986,
        4.71052547953106,
        4.7105435983286705,
        4.7105621939367435,
        4.710580312734354,
        4.710598908342428,
        4.710617027140038,
        4.710635622748112,
        4.710653741545722,
        4.710672337153796,
        4.710690455951406,
        4.71070905155948,
        4.7107271703570905,
        4.7107457659651635,
        4.710763884762774,
        4.710782480370848,
        4.710800599168458,
        4.710819194776532,
        4.710837313574142,
        4.710855909182216,
        4.710874027979826,
        4.7108926235879,
        4.71091074238551,
        4.71092886118312,
        4.710947456791194,
        4.710965575588804,
        4.710984171196878,
        4.711002289994489,
        4.711020885602562,
        4.711039004400172,
        4.711057600008246,
        4.711075718805857,
        4.711093837603467,
        4.71111243321154,
        4.71113055200915,
        4.711149147617224,
        4.711167266414835,
        4.711185862022909,
        4.711203980820518,
        4.711222099618129,
        4.711240695226203,
        4.711258814023813,
        4.711277409631887,
        4.711295528429496,
        4.711313647227107,
        4.711332242835181,
        4.711350361632791,
        4.711368957240865,
        4.711387076038475,
        4.711405194836085,
        4.711423790444159,
        4.71144190924177,
        4.7114600280393795,
        4.711478623647453,
        4.711496742445064,
        4.711515338053137,
        4.711533456850748,
        4.7115515756483575,
        4.711570171256431,
        4.711588290054042,
        4.711606408851652,
        4.711625004459726,
        4.711643123257336,
        4.711661242054946,
        4.71167983766302,
        4.711697956460631,
        4.7117160752582405,
        4.711734670866314,
        4.711752789663925,
        4.711770908461535,
        4.711789504069609,
        4.7118076228672185,
        4.711825741664829,
        4.711844337272903,
        4.711862456070513,
        4.711880574868124,
        4.711899170476197,
        4.711917289273807,
        4.711935408071418,
        4.711953526869028,
        4.711972122477102,
        4.711990241274712,
        4.712008360072322,
        4.712026955680396,
        4.712045074478007,
        4.7120631932756165,
        4.712081312073227,
        4.7120999076813,
        4.712118026478911,
        4.712136145276521,
        4.712154264074131,
        4.712172859682205,
        4.712190978479815,
        4.712209097277426,
        4.712227216075036,
        4.712245811683109,
        4.71226393048072,
        4.71228204927833,
        4.712300168075941,
        4.7123187636840145,
        4.712336882481624,
        4.712355001279235,
        4.712373120076845,
        4.7123912388744555,
        4.712409834482529,
        4.712427953280139,
        4.71244607207775,
        4.71246419087536,
        4.7124827864834336,
        4.712500905281044,
        4.712519024078654,
        4.712537142876265,
        4.712555261673875,
        4.712573380471485,
        4.712591976079558,
        4.712610094877169,
        4.712628213674779,
        4.7126463324723895,
        4.71266445127,
        4.712683046878073,
        4.712701165675684,
        4.712719284473294,
        4.712737403270904,
        4.712755522068514,
        4.712773640866125,
        4.712791759663735,
        4.712810355271809,
        4.712828474069419,
        4.712846592867029,
        4.71286471166464,
        4.71288283046225,
        4.71290094925986,
        4.71291906805747,
        4.712937663665544,
        4.712955782463155,
        4.7129739012607645,
        4.712992020058375,
        4.713010138855985,
        4.713028257653596,
        4.713046376451206,
        4.713064495248816,
        4.713082614046426,
        4.7131012096545,
        4.713119328452111,
        4.7131374472497205,
        4.713155566047331,
        4.713173684844941,
        4.713191803642552,
        4.713209922440162,
        4.713228041237772,
        4.713246160035382,
        4.713264278832993,
        4.713282397630603,
        4.713300516428213,
        4.713319112036287,
        4.713337230833897,
        4.713355349631508,
        4.7133734684291175,
        4.713391587226728,
        4.713409706024338,
        4.713427824821949,
        4.713445943619559,
        4.713464062417169,
        4.713482181214779,
        4.71350030001239,
        4.71351841881,
        4.71353653760761,
        4.713554656405221,
        4.713572775202831,
        4.713590894000442,
        4.7136090127980514,
        4.713627131595662,
        4.713645250393272,
        4.713663369190883,
        4.7136814879884925,
        4.713699606786103,
        4.713717725583713,
        4.713735844381324,
        4.713753963178934,
        4.713772081976544,
        4.713790200774154,
        4.713808319571765,
        4.713826438369375,
        4.713844557166985,
        4.713862675964595,
        4.713880794762206,
        4.713898913559816,
        4.713917032357426,
        4.713935151155036,
        4.713953269952647,
        4.713971388750257,
        4.7139895075478675,
        4.714007626345477,
        4.714025745143088,
        4.714043863940698,
        4.714061982738309,
        4.714080101535918,
        4.714097743523066,
        4.714115862320676,
        4.7141339811182865,
        4.714152099915896,
        4.714170218713507,
        4.714188337511117,
        4.714206456308728,
        4.714224575106337,
        4.714242693903948,
        4.714260812701558,
        4.714278931499169,
        4.7142970502967785,
        4.714314692283925,
        4.714332811081536,
        4.714350929879146,
        4.714369048676756,
        4.714387167474366,
        4.714405286271977,
        4.714423405069588,
        4.7144415238671975,
        4.714459642664808,
        4.714477284651955,
        4.714495403449565,
        4.7145135222471755,
        4.714531641044785,
        4.714549759842396,
        4.714567878640006,
        4.7145859974376165,
        4.714603639424763,
        4.714621758222373,
        4.714639877019984,
        4.714657995817594,
        4.714676114615204,
        4.714694233412815,
        4.714711875399962,
        4.7147299941975715,
        4.714748112995182,
        4.714766231792792,
        4.714784350590403,
        4.714802469388013,
        4.714820111375159,
        4.71483823017277,
        4.71485634897038,
        4.714874467767991,
        4.7148925865656,
        4.714910228552748,
        4.714928347350358,
        4.7149464661479685,
        4.714964584945578,
        4.714982703743189,
        4.715000345730336,
        4.715018464527946,
        4.715036583325556,
        4.715054702123166,
        4.715072820920777,
        4.7150904629079236,
        4.715108581705534,
        4.715126700503144,
        4.715144819300755,
        4.7151624612879015,
        4.715180580085511,
        4.715198698883122,
        4.715216817680732,
        4.715234459667879,
        4.715252578465489,
        4.715270697263099,
        4.71528881606071,
        4.7153064580478565,
        4.715324576845467,
        4.715342695643077,
        4.715360337630224,
        4.7153784564278345,
        4.715396575225444,
        4.715414694023055,
        4.715432336010202,
        4.715450454807812,
        4.715468573605422,
        4.715486692403033,
        4.71550433439018,
        4.7155224531877895,
        4.7155405719854,
        4.715558213972547,
        4.715576332770157,
        4.7155944515677675,
        4.715612093554914,
        4.715630212352525,
        4.715648331150135,
        4.715665973137281,
        4.715684091934892,
        4.715702210732502,
        4.7157198527196496,
        4.715737971517259,
        4.71575609031487,
        4.715773732302017,
        4.715791851099627,
        4.715809969897237,
        4.715827611884384,
        4.715845730681994,
        4.715863849479605,
        4.715881491466751,
        4.715899610264362,
        4.715917729061972,
        4.7159353710491185,
        4.715953489846729,
        4.715971131833876,
        4.715989250631486,
        4.7160073694290965,
        4.716025011416243,
        4.716043130213854,
        4.716061249011464,
        4.71607889099861,
        4.716097009796221,
        4.716114651783368,
        4.716132770580979,
        4.716150889378588,
        4.716168531365735,
        4.716186650163346,
        4.7162042921504925,
        4.716222410948102,
        4.71624005293525,
        4.71625817173286,
        4.7162762905304705,
        4.716293932517617,
        4.716312051315227,
        4.716329693302374,
        4.716347812099984,
        4.716365454087131,
        4.716383572884742,
        4.716401691682352,
        4.716419333669498,
        4.716437452467109,
        4.716455094454256,
        4.716473213251866,
        4.716490855239013,
        4.716508974036623,
        4.71652661602377,
        4.7165447348213805,
        4.716562376808527,
        4.716580495606137,
        4.716598614403748,
        4.716616256390894,
        4.716634375188505,
        4.716652017175652,
        4.716670135973262,
        4.716687777960408,
        4.716705896758019,
        4.716723538745166,
        4.7167416575427765,
        4.716759299529923,
        4.716777418327533,
        4.716795060314681,
        4.7168131791122905,
        4.716830821099437,
        4.716848939897048,
        4.716866581884195,
        4.716884223871341,
        4.716902342668952,
        4.716919984656099,
        4.716938103453709,
        4.716955745440855,
        4.716973864238466,
        4.716991506225613,
        4.717009625023223,
        4.71702726701037,
        4.71704538580798,
        4.717063027795127,
        4.717081146592737,
        4.717098788579884,
        4.717116430567031,
        4.7171345493646415,
        4.717152191351788,
        4.717170310149398,
        4.717187952136546,
        4.7172060709341554,
        4.717223712921302,
        4.717241354908449,
        4.71725947370606,
        4.717277115693206,
        4.717295234490817,
        4.717312876477964,
        4.71733051846511,
        4.71754460636319,
        4.717562248350337,
        4.717580367147947,
        4.717598009135093,
        4.717615651122241,
        4.717633769919851,
        4.717651411906997,
        4.717669530704608,
        4.717687172691755,
        4.717704814678902,
        4.717722933476512,
        4.717740575463659,
        4.717758217450806,
        4.7177763362484155,
        4.717793978235563,
        4.71781162022271,
        4.71782973902032,
        4.717847381007466,
        4.717865022994614,
        4.717882664981761,
        4.7179007837793705,
        4.717918425766517,
        4.717936067753665,
        4.717954186551275,
        4.717971828538421,
        4.717989470525568,
        4.718007589323179,
        4.7180252313103255,
        4.718042873297472,
        4.718060515284619,
        4.71807863408223,
        4.718096276069376,
        4.718113918056523,
        4.718132036854134,
        4.7181496788412804,
        4.718167320828427,
        4.718184962815574,
        4.718203081613185,
        4.718220723600331,
        4.718238365587478,
        4.718256007574625,
        4.718274126372235,
        4.718291768359382,
        4.718309410346529,
        4.7183270523336756,
        4.718345171131286,
        4.718362813118433,
        4.71838045510558,
        4.718398097092726,
        4.718416215890337,
        4.718433857877484,
        4.7184514998646305,
        4.718469141851777,
        4.718486783838924,
        4.718504902636535,
        4.718522544623681,
        4.718540186610828,
        4.718557828597975,
        4.7185754705851215,
        4.718593589382732,
        4.718611231369879,
        4.718628873357026,
        4.718646515344172,
        4.71866415733132,
        4.71868227612893,
        4.7186999181160765,
        4.718717560103223,
        4.718735202090371,
        4.7187528440775175,
        4.718770486064664,
        4.718788604862274,
        4.718806246849422,
        4.718823888836568,
        4.718841530823715,
        4.718859172810862,
        4.7188768147980085,
        4.718894933595619,
        4.718912575582766,
        4.718930217569913,
        4.718947859557059,
        4.718965501544206,
        4.718983143531354,
        4.7190007855185,
        4.719018427505647,
        4.719036546303257,
        4.7190541882904045,
        4.719071830277551,
        4.719089472264698,
        4.719107114251845,
        4.719124756238991,
        4.719142398226138,
        4.719160040213286,
        4.719178159010895,
        4.719195800998042,
        4.719213442985189,
        4.7192310849723365,
        4.721102566041292,
        4.7231161366283505,
        4.723137116288742,
        4.723158095949133,
        4.723179075609523,
        4.723200055269914,
        4.7232215117407685,
        4.72324249140116,
        4.72326347106155,
        4.723284450721941,
        4.723305430382332,
        4.723326410042723,
        4.723347389703114,
        4.723368369363504,
        4.723389349023895,
        4.7234108054947495,
        4.723431785155141,
        4.723452764815531,
        4.723473744475922,
        4.723494724136313,
        4.7235157037967035,
        4.723536683457095,
        4.723557663117486,
        4.723578642777876,
        4.723599622438267,
        4.723620602098658,
        4.723641581759049,
        4.72366256141944,
        4.723683541079831,
        4.723704520740221,
        4.7237255004006125,
        4.723746480061003,
        4.723767936531857,
        4.723788916192248,
        4.723809895852639,
        4.72383087551303,
        4.723851855173421,
        4.723872834833812,
        4.723893814494202,
        4.723914794154593,
        4.7239357738149845,
        4.723956753475375,
        4.723977733135766,
        4.723998712796157,
        4.724019692456547,
        4.724040672116939,
        4.724061174966866,
        4.724082154627257,
        4.724103134287648,
        4.724124113948038,
        4.7241450936084295,
        4.72416607326882,
        4.724187052929211,
        4.724208032589602,
        4.724229012249992,
        4.7242499919103835,
        4.724270971570775,
        4.724291951231165,
        4.724312930891556,
        4.724333910551947,
        4.724354890212338,
        4.724375869872729,
        4.72439684953312,
        4.72441782919351,
        4.724438332043438,
        4.7244593117038285,
        4.72448029136422,
        4.72450127102461,
        4.724522250685001,
        4.724543230345392,
        4.7245642100057825,
        4.724585189666174,
        4.724606169326565,
        4.724626672176492,
        4.724647651836883,
        4.7246686314972735,
        4.724689611157665,
        4.724710590818056,
        4.724731570478446,
        4.724752550138837,
        4.724773052988764,
        4.7247940326491555,
        4.724815012309547,
        4.724835991969937,
        4.724856971630328,
        4.724877951290718,
        4.7248984541406465,
        4.724919433801037,
        4.724940413461428,
        4.724961393121819,
        4.724982372782209,
        4.7250033524426005,
        4.725023855292528,
        4.725044834952919,
        4.72506581461331,
        4.7250867942737,
        4.725107773934091,
        4.725128276784019,
        4.72514925644441,
        4.7251702361048,
        4.725191215765191,
        4.725211718615118,
        4.7252326982755095,
        4.725253677935901,
        4.725274657596291,
        4.725295637256682,
        4.725316140106609,
        4.725337119767,
        4.725358099427392,
        4.725379079087782,
        4.72539958193771,
        4.7254205615981,
        4.725441541258491,
        4.7254620441084185,
        4.72548302376881,
        4.7255040034292,
        4.725524983089591,
        4.725545485939518,
        4.7255664655999094,
        4.725587445260301,
        4.725607948110228,
        4.725628927770619,
        4.725649907431009,
        4.7256708870914,
        4.7256913899413275,
        4.725712369601719,
        4.725733349262109,
        4.725753852112037,
        4.725774831772427,
        4.7257958114328185,
        4.725816314282746,
        4.725837293943137,
        4.725858273603528,
        4.725878776453455,
        4.725899756113846,
        4.7259207357742365,
        4.725941238624165,
        4.725962218284555,
        4.725982721134482,
        4.726003700794873,
        4.726024680455264,
        4.7260451833051915,
        4.726066162965583,
        4.726087142625973,
        4.726107645475901,
        4.726128625136291,
        4.726149127986219,
        4.72617010764661,
        4.726191087307001,
        4.726211590156928,
        4.726232569817319,
        4.726253072667246,
        4.726274052327637,
        4.726295031988028,
        4.726315534837956,
        4.726336514498346,
        4.726357017348274,
        4.726377997008664,
        4.726564906710329,
        4.726585409560256,
        4.726606389220647,
        4.726626892070574,
        4.7266478717309655,
        4.726668374580893,
        4.726689354241284,
        4.726709857091211,
        4.726730836751601,
        4.726751339601529,
        4.7267723192619195,
        4.726792822111848,
        4.726813801772238,
        4.726834304622166,
        4.726855284282556,
        4.726875787132484,
        4.7268967667928745,
        4.726917269642803,
        4.726938249303193,
        4.72695875215312,
        4.726979731813511,
        4.727000234663438,
        4.7270212143238295,
        4.727041717173757,
        4.727062696834148,
        4.727083199684075,
        4.727103702534003,
        4.727124682194393,
        4.727145185044321,
        4.727166164704712,
        4.727186667554639,
        4.72720764721503,
        4.727228150064957,
        4.727248652914885,
        4.727269632575275,
        4.7272901354252035,
        4.727311115085594,
        4.727331617935522,
        4.727352120785449,
        4.72737310044584,
        4.727393603295767,
        4.727414582956158,
        4.727435085806086,
        4.727455588656013,
        4.727476568316404,
        4.727497071166331,
        4.727517574016258,
        4.727538553676649,
        4.727559056526577,
        4.727580036186968,
        4.727600539036895,
        4.727621041886822,
        4.727642021547213,
        4.72766252439714,
        4.7276830272470685,
        4.727704006907459,
        4.728075442258469,
        4.7280959451083975,
        4.728116924768788,
        4.728137427618716,
        4.728157930468643,
        4.72817843331857,
        4.728199412978961,
        4.7282199158288885,
        4.728240418678816,
        4.728260921528744,
        4.728281901189134,
        4.728302404039062,
        4.728322906888989,
        4.728343409738916,
        4.728363912588844,
        4.728384892249235,
        4.728405395099163,
        4.72842589794909,
        4.728446400799017,
        4.728466903648944,
        4.728487883309335,
        4.7285083861592625,
        4.7285288890091906,
        4.728549391859118,
        4.728569894709045,
        4.728590874369436,
        4.728611377219363,
        4.72863188006929,
        4.728652382919218,
        4.728672885769146,
        4.728693388619073,
        4.728714368279464,
        4.728734871129391,
        4.728755373979319,
        4.728775876829246,
        4.728796379679173,
        4.728816882529101,
        4.728837385379029,
        4.728858365039419,
        4.728878867889347,
        4.728899370739274,
        4.728919873589201,
        4.728940376439129,
        4.7289608792890565,
        4.728981382138984,
        4.729001884988911,
        4.729022864649302,
        4.729043367499229,
        4.729063870349157,
        4.729084373199084,
        4.7291048760490115,
        4.72912537889894,
        4.729207390298649,
        4.729227893148576,
        4.729248395998503,
        4.729269375658895,
        4.729289878508822,
        4.72931038135875,
        4.729330884208677,
        4.729351387058604,
        4.729371889908531,
        4.729392392758459,
        4.7294128956083865,
        4.729433398458314,
        4.729453901308242,
        4.729474404158169,
        4.729494907008096,
        4.729515409858023,
        4.729535912707951,
        4.729556415557878,
        4.729576918407806,
        4.729597421257734,
        4.729617924107661,
        4.729638426957588,
        4.729658929807516,
        4.729679432657443,
        4.72969993550737,
        4.7297204383572975,
        4.7297409412072255,
        4.729761444057153,
        4.72978194690708,
        4.729802449757008,
        4.729822952606935,
        4.729843455456862,
        4.729863958306789,
        4.7298844611567175,
        4.729904964006645,
        4.729925466856572,
        4.7299459697065,
        4.729965995745964,
        4.729986498595891,
        4.730007001445818,
        4.730027504295745,
        4.730048007145673,
        4.730068509995601,
        4.730089012845528,
        4.730109515695456,
        4.730130018545383,
        4.73015052139531,
        4.730171024245237,
        4.730191527095165,
        4.730211553134629,
        4.7302320559845565,
        4.730252558834484,
        4.730273061684412,
        4.730293564534339,
        4.730314067384266,
        4.730334570234193,
        4.730355073084121,
        4.730375099123585,
        4.7303956019735125,
        4.73041610482344,
        4.730436607673368,
        4.730457110523295,
        4.730477613373222,
        4.730498116223149,
        4.730518142262613,
        4.730538645112541,
        4.7305591479624685,
        4.730579650812396,
        4.730600153662324,
        4.730620656512251,
        4.730640682551715,
        4.730661185401642,
        4.730681688251569,
        4.730702191101497,
        4.730722693951424,
        4.7307427199908885,
        4.730763222840816,
        4.730783725690744,
        4.730804228540671,
        4.730824731390598,
        4.730844757430062,
        4.730865260279989,
        4.730885763129917,
        4.730906265979844,
        4.730926768829772,
        4.730946794869236,
        4.730967297719163,
        4.730987800569091,
        4.731008303419018,
        4.731028329458482,
        4.731048832308409,
        4.731069335158337,
        4.731089838008264,
        4.7311098640477285,
        4.731130366897656,
        4.731150869747583,
        4.731171372597511,
        4.731191398636975,
        4.731211901486902,
        4.731232404336829,
        4.731252430376293,
        4.7312729332262204,
        4.7312934360761485,
        4.731313938926076,
        4.73133396496554,
        4.731354467815467,
        4.731374970665395,
        4.731394996704858,
        4.731415499554786,
        4.731436002404713,
        4.731456028444177,
        4.7314765312941045,
        4.7314970341440326,
        4.731517060183496,
        4.731537563033424,
        4.731558065883351,
        4.731578091922815,
        4.731598594772742,
        4.73161909762267,
        4.731639123662134,
        4.731659626512061,
        4.731680129361989,
        4.731700155401453,
        4.73172065825138,
        4.731741161101308,
        4.731761187140772,
        4.731781689990699,
        4.731801716030163,
        4.73182221888009,
        4.731842721730017,
        4.7318627477694815,
        4.7318832506194095,
        4.731903276658874,
        4.731923779508801,
        4.731944282358728,
        4.731964308398192,
        4.731984811248119,
        4.732004837287583,
        4.732025340137511,
        4.732045842987438,
        4.732065869026902,
        4.73208637187683,
        4.732106397916294,
        4.732126900766221,
        4.732146926805685,
        4.732167429655613,
        4.732187455695077,
        4.732207958545004,
        4.732228461394931,
        4.732248487434395,
        4.7322689902843225,
        4.7322890163237865,
        4.732309519173715,
        4.732329545213179,
        4.732350048063106,
        4.73237007410257,
        4.732390576952497,
        4.732410602991961,
        4.732431105841888,
        4.732451131881352,
        4.732471634731279,
        4.7324916607707435,
        4.7325121636206715,
        4.732532189660136,
        4.732552692510063,
        4.732572718549527,
        4.732593221399454,
        4.732613247438918,
        4.732633750288845,
        4.732653776328309,
        4.732674279178237,
        4.732694305217701,
        4.7327148080676285,
        4.7327348341070925,
        4.7327548601465566,
        4.732775362996484,
        4.732795389035948,
        4.732815891885875,
        4.732835917925339,
        4.732856420775267,
        4.73287644681473,
        4.732896949664658,
        4.732916975704122,
        4.732937001743586,
        4.7329575045935135,
        4.7329775306329775,
        4.732998033482905,
        4.733018059522369,
        4.733038085561833,
        4.73305858841176,
        4.733078614451224,
        4.733099117301152,
        4.733119143340615,
        4.733139169380079,
        4.733159672230007,
        4.733179698269471,
        4.7332002011193985,
        4.733220227158863,
        4.733240253198327,
        4.733260756048254,
        4.733280782087718,
        4.733300808127182,
        4.733321310977109,
        4.733341337016573,
        4.733361363056037,
        4.733381865905964,
        4.733401891945428,
        4.733421917984892,
        4.7334424208348205,
        4.7334624468742845,
        4.733482472913748,
        4.733502975763676,
        4.73352300180314,
        4.733543027842604,
        4.733563530692531,
        4.733583556731995,
        4.733603582771459,
        4.733624085621386,
        4.73364411166085,
        4.733664137700314,
        4.733684163739778,
        4.733704666589706,
        4.73372469262917,
        4.733744718668634,
        4.733765221518561,
        4.733785247558025,
        4.733805273597489,
        4.733825299636953,
        4.73384580248688,
        4.733865828526344,
        4.733885854565808,
        4.733905880605272,
        4.7339263834552,
        4.733946409494664,
        4.7339664355341275,
        4.733986461573592,
        4.73400696442352,
        4.734026990462984,
        4.734047016502448,
        4.734067042541911,
        4.734087545391839,
        4.734107571431303,
        4.734127597470767,
        4.734147623510231,
        4.734167649549695,
        4.734188152399622,
        4.734208178439086,
        4.73422820447855,
        4.7342482305180145,
        4.7342682565574785,
        4.734288759407406,
        4.73430878544687,
        4.734328811486334,
        4.734348837525798,
        4.734368863565262,
        4.734388889604726,
        4.734409392454653,
        4.734429418494117,
        4.734449444533581,
        4.734469470573045,
        4.734489496612509,
        4.734509522651973,
        4.7345300255019005,
        4.7345500515413645,
        4.734570077580829,
        4.734590103620293,
        4.734610129659757,
        4.734630155699221,
        4.734650181738684,
        4.734670207778148,
        4.734690710628076,
        4.73471073666754,
        4.734730762707004,
        4.734750788746467,
        4.734770814785931,
        4.734790840825395,
        4.734810866864859,
        4.7348308929043235,
        4.7348509189437875,
        4.734870944983252,
        4.734891447833179,
        4.734911473872643,
        4.734931499912107,
        4.734951525951571,
        4.734971551991035,
        4.734991578030499,
        4.735011604069963,
        4.735031630109427,
        4.735051656148891,
        4.735071682188355,
        4.735091708227819,
        4.735111734267283,
        4.735131760306747,
        4.735151786346211,
        4.735171812385675,
        4.735191838425139,
        4.735211864464603,
        4.735231890504067,
        4.735251916543531,
        4.735271942582995,
        4.735291968622459,
        4.735311994661923,
        4.735332020701387,
        4.735352046740851,
        4.735372072780315,
        4.735392098819779,
        4.735412124859243,
        4.735432150898707,
        4.735452176938171,
        4.735472202977635,
        4.735492229017099,
        4.7355122550565625,
        4.7355322810960265,
        4.735692489411739,
        4.735712515451203,
        4.735732541490667,
        4.735752567530131,
        4.735772593569595,
        4.735792619609059,
        4.735812645648523,
        4.735832194877523,
        4.735852220916987,
        4.735872246956451,
        4.735892272995915,
        4.7359122990353795,
        4.7359323250748435,
        4.735952351114308,
        4.735972377153772,
        4.735992403193236,
        4.7360124292327,
        4.7360319784617,
        4.736052004501164,
        4.736072030540628,
        4.736092056580092,
        4.736112082619556,
        4.73613210865902,
        4.736152134698484,
        4.736172160737948,
        4.736191709966948,
        4.736211736006412,
        4.736231762045876,
        4.73625178808534,
        4.736271814124804,
        4.736291840164268,
        4.736311389393269,
        4.7363314154327325,
        4.7363514414721966,
        4.736371467511661,
        4.736391493551125,
        4.736411519590589,
        4.73643106881959,
        4.736451094859054,
        4.736471120898518,
        4.736491146937982,
        4.736511172977446,
        4.736530722206446,
        4.73655074824591,
        4.736570774285374,
        4.736590800324838,
        4.736610826364302,
        4.736630375593302,
        4.736650401632766,
        4.73667042767223,
        4.736690453711694,
        4.736710002940695,
        4.736730028980159,
        4.736750055019623,
        4.736770081059087,
        4.736789630288087,
        4.7368096563275515,
        4.7368296823670155,
        4.73684970840648,
        4.7368692576354805,
        4.7368892836749446,
        4.736909309714409,
        4.736929335753872,
        4.736948884982873,
        4.736968911022337,
        4.736988937061801,
        4.737008963101265,
        4.737028512330265,
        4.737048538369729,
        4.737068564409193,
        4.737088113638194,
        4.737108139677658,
        4.737128165717122,
        4.737147714946122,
        4.737167740985586,
        4.73718776702505,
        4.737207316254051,
        4.737227342293515,
        4.737247368332979,
        4.737266917561979,
        4.737286943601443,
        4.737306969640907,
        4.737326518869908,
        4.737346544909372,
        4.737366570948836,
        4.7373861201778364,
        4.7374061462173005,
        4.7374261722567645,
        4.7374457214857655,
        4.7374657475252295,
        4.737485773564693,
        4.737505322793694,
        4.737525348833158,
        4.737545374872622,
        4.737564924101623,
        4.737584950141086,
        4.737604499370087,
        4.737624525409551,
        4.737644551449015,
        4.737664100678016,
        4.737684126717479,
        4.73770367594648,
        4.737723701985944,
        4.737743728025408,
        4.737763277254408,
        4.737783303293872,
        4.737802852522873,
        4.737822878562337,
        4.737842427791338,
        4.737862453830801,
        4.737882479870265,
        4.737902029099266,
        4.73792205513873,
        4.73794160436773,
        4.737961630407194,
        4.737981179636195,
        4.738001205675659,
        4.73802075490466,
        4.738040780944123,
        4.738060330173124,
        4.738080356212588,
        4.738100382252052,
        4.7381199314810525,
        4.7381399575205165,
        4.7381595067495175,
        4.7381795327889815,
        4.7381990820179825,
        4.738219108057446,
        4.7382386572864466,
        4.738258683325911,
        4.7382782325549115,
        4.738298258594376,
        4.738317807823376,
        4.73833783386284,
        4.738357383091841,
        4.738377409131305,
        4.738396958360305,
        4.738416984399769,
        4.73843653362877,
        4.73845608285777,
        4.738476108897234,
        4.738495658126235,
        4.738515684165699,
        4.738535233394699,
        4.738555259434163,
        4.738574808663164,
        4.738594834702628,
        4.738614383931628,
        4.738633933160629,
        4.738653959200093,
        4.738673508429093,
        4.738693534468557,
        4.738713083697558,
        4.738733109737022,
        4.738752658966022,
        4.738772208195023,
        4.738792234234487,
        4.738811783463488,
        4.738831809502951,
        4.738851358731952,
        4.738870907960953,
        4.738890934000417,
        4.738910483229417,
        4.738930509268881,
        4.738950058497882,
        4.738969607726882,
        4.738989633766346,
        4.739009182995347,
        4.739028732224347,
        4.739048758263811,
        4.739068307492812,
        4.739088333532276,
        4.739107882761276,
        4.739127431990277,
        4.739147458029741,
        4.739167007258742,
        4.739186556487742,
        4.739206582527206,
        4.739226131756207,
        4.739245680985207,
        4.739265707024671,
        4.739285256253672,
        4.739304805482672,
        4.739324831522136,
        4.739344380751137,
        4.739363929980137,
        4.739383479209138,
        4.739403505248602,
        4.739423054477602,
        4.739442603706603,
        4.739462629746067,
        4.739482178975068,
        4.739501728204068,
        4.739521277433069,
        4.739541303472533,
        4.739560852701533,
        4.739580401930534,
        4.739600427969998,
        4.739619977198998,
        4.739639526427999,
        4.739659075657,
        4.7396791016964634,
        4.739698650925464,
        4.739718200154465,
        4.739737749383465,
        4.739757775422929,
        4.73977732465193,
        4.73979687388093,
        4.739816423109931,
        4.739836449149395,
        4.739855998378395,
        4.739875547607396,
        4.739895096836397,
        4.739914646065397,
        4.739934672104861,
        4.739954221333862,
        4.739973770562862,
        4.739993319791863,
        4.740012869020863,
        4.740032895060327,
        4.740052444289328,
        4.740071993518329,
        4.740091542747329,
        4.74011109197633,
        4.740131118015794,
        4.740150667244794,
        4.740170216473795,
        4.740189765702795,
        4.740209314931796,
        4.740228864160797,
        4.74024889020026,
        4.740268439429261,
        4.740287988658262,
        4.740307537887262,
        4.740327087116263,
        4.740346636345263,
        4.740366185574264,
        4.740386211613728,
        4.740405760842728,
        4.740425310071729,
        4.74044485930073,
        4.74046440852973,
        4.740483957758731,
        4.740503506987731,
        4.740523056216732,
        4.740542605445733,
        4.740562631485196,
        4.740582180714197,
        4.740601729943198,
        4.740621279172198,
        4.740640828401199,
        4.740660377630199,
        4.7406799268592,
        4.740699476088201,
        4.740719025317201,
        4.740738574546202,
        4.740758123775202,
        4.740777673004203,
        4.740797699043667,
        4.740817248272667,
        4.740836797501668,
        4.740856346730669,
        4.740875895959669,
        4.74089544518867,
        4.74091499441767,
        4.740934543646671,
        4.740954092875671,
        4.740973642104672,
        4.740993191333673,
        4.741012740562673,
        4.741032289791674,
        4.741051839020674,
        4.741071388249675,
        4.741090937478676,
        4.741110486707676,
        4.741130035936677,
        4.741149585165677,
        4.741169134394678,
        4.741188683623678,
        4.741208232852679,
        4.74122778208168,
        4.74124733131068,
        4.741266880539681,
        4.741286429768681,
        4.741305978997682,
        4.741325528226683,
        4.741345077455683,
        4.741364626684684,
        4.741384175913684,
        4.741403725142685,
        4.741423274371685,
        4.741442823600686,
        4.7414623728296865,
        4.741481922058687,
        4.7415014712876875,
        4.741521020516688,
        4.741540092935225,
        4.741559642164225,
        4.741579191393226,
        4.741598740622226,
        4.741618289851227,
        4.741637839080227,
        4.741657388309228,
        4.741676937538229,
        4.741696486767229,
        4.74171603599623,
        4.74173558522523,
        4.741755134454231,
        4.741774206872768,
        4.741793756101769,
        4.741813305330769,
        4.74183285455977,
        4.741852403788771,
        4.741871953017771,
        4.741891502246772,
        4.741911051475772,
        4.741930123894309,
        4.74194967312331,
        4.741969222352311,
        4.741988771581311,
        4.742008320810312,
        4.742027870039312,
        4.742047419268313,
        4.74206649168685,
        4.742086040915851,
        4.742105590144851,
        4.742125139373852,
        4.742144688602853,
        4.742164237831853,
        4.74218331025039,
        4.742202859479391,
        4.742222408708391,
        4.742241957937392,
        4.7422615071663925,
        4.742280579584929,
        4.7423001288139295,
        4.74231967804293,
        4.742339227271931,
        4.742358776500931,
        4.742377848919468,
        4.742397398148469,
        4.74241694737747,
        4.74243649660647,
        4.742456045835471,
        4.742475118254008,
        4.742494667483009,
        4.742514216712009,
        4.74253376594101,
        4.742552838359547,
        4.742572387588548,
        4.742591936817548,
        4.742611486046549,
        4.742630558465086,
        4.742650107694087,
        4.742669656923087,
        4.742689206152088,
        4.742708278570625,
        4.742727827799625,
        4.742747377028626,
        4.742766926257627,
        4.742785998676164,
        4.742805547905164,
        4.742825097134165,
        4.7428441695527015,
        4.742863718781702,
        4.7428832680107025,
        4.742902817239703,
        4.74292188965824,
        4.742941438887241,
        4.742960988116241,
        4.742980060534779,
        4.742999609763779,
        4.74301915899278,
        4.743038231411317,
        4.743057780640318,
        4.743077329869318,
        4.743096402287855,
        4.743115951516856,
        4.743135500745857,
        4.743154573164394,
        4.743174122393394,
        4.743193671622395,
        4.743212744040932,
        4.743232293269933,
        4.743251842498933,
        4.7432709149174705,
        4.743290464146471,
        4.7433100133754715,
        4.7433290857940085,
        4.743348635023009,
        4.743367707441546,
        4.743387256670546,
        4.743406805899547,
        4.743425878318084,
        4.743445427547085,
        4.743464976776085,
        4.743484049194623,
        4.743503598423623,
        4.74352267084216,
        4.743542220071161,
        4.743561769300162,
        4.743580841718699,
        4.743600390947699,
        4.743619463366237,
        4.743639012595237,
        4.743658085013774,
        4.743677634242775,
        4.743697183471776,
        4.7437162558903125,
        4.743735805119313,
        4.74375487753785,
        4.7437744267668505,
        4.743793499185387,
        4.743813048414388,
        4.743832120832925,
        4.743851670061926,
        4.743870742480463,
        4.743890291709464,
        4.743909840938464,
        4.743928913357001,
        4.743948462586002,
        4.743967535004539,
        4.74398708423354,
        4.744006156652077,
        4.744025705881078,
        4.744044778299615,
        4.744064327528615,
        4.744083399947153,
        4.744102949176153,
        4.7441220215946895,
        4.7441415708236905,
        4.744160643242227,
        4.744180192471228,
        4.744199264889765,
        4.744218814118766,
        4.744237886537303,
        4.744257435766303,
        4.744276508184841,
        4.744295580603378,
        4.744315129832378,
        4.744334202250916,
        4.744353751479916,
        4.744372823898453,
        4.744392373127454,
        4.744411445545991,
        4.744430994774992,
        4.744450067193529,
        4.7444691396120655,
        4.7444886888410664,
        4.744507761259603,
        4.744527310488604,
        4.744546382907141,
        4.744565932136142,
        4.744585004554679,
        4.744604076973216,
        4.744623626202217,
        4.744642698620754,
        4.744662247849754,
        4.744681320268292,
        4.744700392686829,
        4.744719941915829,
        4.744739014334367,
        4.744758563563367,
        4.744777635981904,
        4.744950718180129,
        4.744970267409129,
        4.744989339827666,
        4.745008412246204,
        4.745027961475204,
        4.745047033893741,
        4.7450661063122785,
        4.745085655541279,
        4.7451047279598155,
        4.745123800378353,
        4.745143349607353,
        4.74516242202589,
        4.745181494444428,
        4.745201043673428,
        4.745220116091965,
        4.745239188510503,
        4.74525826092904,
        4.74527781015804,
        4.745296882576578,
        4.745315954995115,
        4.745335504224116,
        4.745354576642653,
        4.7453736490611895,
        4.7453927214797265,
        4.745412270708727,
        4.745431343127264,
        4.745450415545801,
        4.745469964774802,
        4.745489037193339,
        4.745508109611876,
        4.745527182030413,
        4.745546731259414,
        4.745565803677951,
        4.745584876096489,
        4.745603948515026,
        4.745623497744026,
        4.7456425701625635,
        4.7456616425811005,
        4.745680714999637,
        4.745699787418174,
        4.745719336647175,
        4.745738409065712,
        4.745757481484249,
        4.745776553902786,
        4.745796103131787,
        4.745815175550324,
        4.745834247968862,
        4.745853320387399,
        4.745872392805936,
        4.745891942034937,
        4.7459110144534735,
        4.7459300868720105,
        4.745949159290547,
        4.745968231709084,
        4.745987304127622,
        4.746006853356622,
        4.746025925775159,
        4.746044998193697,
        4.746064070612234,
        4.746083143030771,
        4.746102215449308,
        4.746121764678309,
        4.746140837096846,
        4.746159909515383,
        4.74617898193392,
        4.746198054352457,
        4.746217126770994,
        4.746236199189531,
        4.746255748418532,
        4.746274820837069,
        4.746293893255606,
        4.746312965674144,
        4.746332038092681,
        4.746351110511218,
        4.746370182929755,
        4.7463892553482925,
        4.7464088045772925,
        4.7464278769958295,
        4.746446949414367,
        4.746466021832904,
        4.746485094251441,
        4.746504166669978,
        4.746523239088515,
        4.746542311507053,
        4.74656138392559,
        4.746580456344127,
        4.746599528762664,
        4.7466186011812015,
        4.7466381504102015,
        4.7466572228287385,
        4.746676295247276,
        4.746695367665813,
        4.74671444008435,
        4.746733512502887,
        4.746752584921425,
        4.746771657339962,
        4.746790729758499,
        4.746809802177036,
        4.746828874595573,
        4.7468479470141105,
        4.746867019432647,
        4.746886091851184,
        4.746905164269721,
        4.746924236688259,
        4.746943309106796,
        4.746962381525333,
        4.74698145394387,
        4.747000526362407,
        4.747019598780945,
        4.747038671199482,
        4.747057743618019,
        4.7470768160365555,
        4.747095888455093,
        4.74711496087363,
        4.747134033292167,
        4.747153105710704,
        4.747172178129241,
        4.747191250547779,
        4.747210322966316,
        4.747229395384853,
        4.74724846780339,
        4.7472675402219275,
        4.7472866126404645,
        4.747305685059001,
        4.747324757477538,
        4.747343829896076,
        4.747362902314613,
        4.74738197473315,
        4.747401047151687,
        4.747419642759761,
        4.747438715178298,
        4.747457787596836,
        4.7474768600153725,
        4.747495932433909,
        4.747515004852446,
        4.747534077270983,
        4.747553149689521,
        4.747572222108058,
        4.747591294526595,
        4.747610366945132,
        4.74762943936367,
        4.747648034971743,
        4.7476671073902805,
        4.7476861798088175,
        4.747705252227354,
        4.747724324645891,
        4.747743397064429,
        4.747762469482966,
        4.747781541901503,
        4.747800137509577,
        4.747819209928114,
        4.747838282346651,
        4.7478573547651886,
        4.7478764271837255,
        4.747895499602262,
        4.747914572020799,
        4.747933167628873,
        4.74795224004741,
        4.747971312465948,
        4.747990384884485,
        4.748009457303022,
        4.748028529721559,
        4.748047125329633,
        4.7480661977481695,
        4.748085270166707,
        4.748104342585244,
        4.748123415003781,
        4.748142487422318,
        4.748161083030392,
        4.748180155448929,
        4.748199227867467,
        4.748218300286004,
        4.748237372704541,
        4.748255968312614,
        4.748275040731151,
        4.748294113149688,
        4.748313185568226,
        4.748332257986763,
        4.748350853594837,
        4.748369926013374,
        4.748388998431911,
        4.748408070850448,
        4.7484266664585215,
        4.7484457388770585,
        4.748464811295596,
        4.748483883714133,
        4.748502479322207,
        4.748521551740744,
        4.748540624159281,
        4.748559696577818,
        4.748578292185892,
        4.7485973646044295,
        4.748616437022966,
        4.748635509441503,
        4.748654105049577,
        4.748673177468114,
        4.748692249886651,
        4.748710845494725,
        4.748729917913262,
        4.7487489903318,
        4.748768062750337,
        4.74878665835841,
        4.748805730776947,
        4.748824803195484,
        4.748843398803558,
        4.748862471222095,
        4.748881543640632,
        4.748900139248706,
        4.748919211667244,
        4.748938284085781,
        4.748956879693854,
        4.748975952112391,
        4.748995024530928,
        4.749013620139002,
        4.749032692557539,
        4.749051764976076,
        4.74907036058415,
        4.749089433002688,
        4.7491085054212245,
        4.749127101029298,
        4.749146173447835,
        4.749165245866372,
        4.749183841474446,
        4.749202913892983,
        4.74922198631152,
        4.749240581919594,
        4.749259654338132,
        4.7492782499462045,
        4.749297322364742,
        4.749316394783279,
        4.749334990391353,
        4.74935406280989,
        4.749372658417964,
        4.749391730836501,
        4.749410803255038,
        4.7494293988631116,
        4.7494484712816485,
        4.749467066889722,
        4.749486139308259,
        4.749505211726797,
        4.749523807334871,
        4.749542879753408,
        4.749561475361482,
        4.749580547780019,
        4.749599143388092,
        4.749618215806629,
        4.749637288225166,
        4.74965588383324,
        4.749674956251777,
        4.749693551859851,
        4.749712624278388,
        4.749731219886462,
        4.749750292304999,
        4.749768887913072,
        4.74978796033161,
        4.749807032750147,
        4.749825628358221,
        4.749844700776758,
        4.749863296384832,
        4.749882368803369,
        4.7499009644114425,
        4.749920036829979,
        4.749938632438053,
        4.74995770485659,
        4.749976300464664,
        4.749995372883201,
        4.750013968491275,
        4.750033040909812,
        4.7500516365178855,
        4.7500707089364225,
        4.750089304544496,
        4.750108376963034,
        4.750126972571107,
        4.750146044989645,
        4.750164640597719,
        4.750183236205792,
        4.7502023086243295,
        4.750220904232402,
        4.75023997665094,
        4.750258572259014,
        4.750277644677551,
        4.750296240285625,
        4.750315312704162,
        4.750333908312236,
        4.7503529807307725,
        4.750371576338846,
        4.75039017194692,
        4.750409244365457,
        4.750427839973531,
        4.750446912392068,
        4.750465508000142,
        4.750484580418679,
        4.750503176026752,
        4.750521771634826,
        4.750540844053363,
        4.750559439661437,
        4.750578512079974,
        4.750597107688048,
        4.750615703296122,
        4.7506347757146585,
        4.750653371322732,
        4.750672443741269,
        4.750691039349343,
        4.750709634957417,
        4.750728707375954,
        4.750747302984028,
        4.7507658985921015,
        4.7507849710106385,
        4.750803566618712,
        4.750822639037249,
        4.750841234645323,
        4.750859830253397,
        4.750878902671934,
        4.750897498280008,
        4.7509160938880814,
        4.750935166306618,
        4.750953761914692,
        4.750972357522766,
        4.750991429941303,
        4.751010025549377,
        4.751028621157451,
        4.7510476935759876,
        4.751066289184061,
        4.751084884792135,
        4.751103957210672,
        4.751122552818746,
        4.75114114842682,
        4.751159744034894,
        4.7511788164534305,
        4.751197412061504,
        4.751216007669578,
        4.751235080088115,
        4.751253675696189,
        4.751272271304263,
        4.7512913437228,
        4.7513099393308735,
        4.751328534938947,
        4.751347130547021,
        4.751366202965558,
        4.751384798573632,
        4.751403394181705,
        4.751421989789779,
        4.7514410622083165,
        4.7514596578163895,
        4.751478253424463,
        4.751496849032537,
        4.751515921451074,
        4.751534517059148,
        4.751553112667222,
        4.7515717082752955,
        4.7515907806938324,
        4.751609376301906,
        4.75162797190998,
        4.751646567518054,
        4.751665163126128,
        4.751684235544665,
        4.7517028311527385,
        4.751721426760812,
        4.751740022368886,
        4.751759094787423,
        4.751777690395497,
        4.751796286003571,
        4.751814881611644,
        4.7518334772197175,
        4.751852549638255,
        4.751871145246328,
        4.751889740854402,
        4.751908336462476,
        4.75192693207055,
        4.7519455276786235,
        4.7519646000971605,
        4.751983195705234,
        4.752001791313308,
        4.752020386921382,
        4.752038982529456,
        4.752057578137529,
        4.7520766505560665,
        4.75209524616414,
        4.752113841772213,
        4.752132437380287,
        4.752151032988361,
        4.752169628596435,
        4.752188224204509,
        4.752206819812582,
        4.752225892231119,
        4.752244487839193,
        4.752263083447267,
        4.752281679055341,
        4.752300274663414,
        4.752318870271488,
        4.752337465879561,
        4.752356061487635,
        4.752375133906172,
        4.752393729514246,
        4.75241232512232,
        4.752430920730394,
        4.7524495163384675,
        4.752468111946541,
        4.752486707554615,
        4.752505303162688,
        4.752523898770762,
        4.752542494378836,
        4.7525610899869095,
        4.752579685594983,
        4.752598281203057,
        4.752617353621594,
        4.752635949229668,
        4.752654544837742,
        4.752673140445816,
        4.7526917360538885,
        4.752710331661962,
        4.752728927270036,
        4.75274752287811,
        4.752766118486184,
        4.752784714094258,
        4.7528033097023314,
        4.752821905310405,
        4.752840500918478,
        4.752859096526552,
        4.752877692134626,
        4.7528962877427,
        4.7529148833507735,
        4.752933478958847,
        4.752952074566921,
        4.752970670174995,
        4.752989265783068,
        4.753007861391142,
        4.7530264569992156,
        4.753045052607289,
        4.753063648215363,
        4.753082243823437,
        4.753100839431511,
        4.753119435039584,
        4.753138030647658,
        4.753156626255731,
        4.753175221863805,
        4.753193817471879,
        4.753212413079953,
        4.753231008688027,
        4.7532496042961006,
        4.7532681999041735,
        4.753286795512247,
        4.753305391120321,
        4.753323986728395,
        4.753342105526006,
        4.753360701134079,
        4.753379296742152,
        4.753397892350226,
        4.7534164879583,
        4.753435083566374,
        4.753453679174448,
        4.7534722747825215,
        4.753490870390595,
        4.753509465998668,
        4.753528061606742,
        4.753546657214816,
        4.753564776012427,
        4.7535833716205005,
        4.753601967228573,
        4.753620562836647,
        4.753639158444721,
        4.753657754052795,
        4.753676349660869,
        4.7536949452689425,
        4.753713540877016,
        4.753731659674626,
        4.7537502552827,
        4.753768850890774,
        4.753787446498848,
        4.7538060421069215,
        4.753824637714994,
        4.753843233323068,
        4.753861828931142,
        4.753879947728753,
        4.753898543336827,
        4.7539171389448995,
        4.753935734552973,
        4.753954330161047,
        4.753972925769121,
        4.753991044566732,
        4.754009640174805,
        4.7540282357828785,
        4.754046831390952,
        4.754065426999026,
        4.7540840226071,
        4.75410214140471,
        4.754120737012784,
        4.754139332620857,
        4.754157928228931,
        4.754324335080668,
        4.7543429306887415,
        4.754361049486352,
        4.754379645094425,
        4.754398240702499,
        4.754416836310573,
        4.7544349551081835,
        4.754453550716257,
        4.75447214632433,
        4.754490741932404,
        4.754508860730015,
        4.754527456338089,
        4.754546051946162,
        4.754564647554235,
        4.754582766351846,
        4.75460136195992,
        4.754619957567994,
        4.7546385531760675,
        4.754656671973677,
        4.754675267581751,
        4.754693863189825,
        4.754711981987435,
        4.754730577595509,
        4.7547491732035825,
        4.754767768811656,
        4.754785887609266,
        4.75480448321734,
        4.754823078825414,
        4.7548411976230245,
        4.754859793231098,
        4.754878388839171,
        4.754896507636782,
        4.754915103244856,
        4.75493369885293,
        4.754951817650539,
        4.754970413258613,
        4.754989008866687,
        4.755007127664297,
        4.755025723272371,
        4.7550443188804445,
        4.755062437678055,
        4.755081033286129,
        4.755099628894202,
        4.755117747691813,
        4.7551363432998865,
        4.75515493890796,
        4.75517305770557,
        4.755191653313644,
        4.755209772111255,
        4.7552283677193286,
        4.7552469633274015,
        4.755265082125012,
        4.755283677733086,
        4.75530227334116,
        4.75532039213877,
        4.7553389877468435,
        4.755357106544454,
        4.755375702152527,
        4.755394297760601,
        4.755412416558212,
        4.7554310121662855,
        4.755449130963895,
        4.755467726571969,
        4.755486322180043,
        4.755504440977653,
        4.755523036585727,
        4.755541155383337,
        4.755559750991411,
        4.755577869789021,
        4.755596465397095,
        4.755615061005169,
        4.755633179802778,
        4.755651775410852,
        4.755669894208463,
        4.755688489816537,
        4.755706608614147,
        4.7557252042222204,
        4.755743323019831,
        4.755761918627904,
        4.755780037425515,
        4.755798633033589,
        4.7558172286416625,
        4.755835347439272,
        4.755853943047346,
        4.755872061844957,
        4.75589065745303,
        4.7559087762506405,
        4.755927371858714,
        4.755945490656324,
        4.755964086264398,
        4.755982205062009,
        4.7560008006700825,
        4.756018919467692,
        4.756037515075766,
        4.756055633873377,
        4.75607422948145,
        4.7560923482790605,
        4.756110943887134,
        4.756129062684744,
        4.756147658292818,
        4.756165777090429,
        4.7561838958880385,
        4.756202491496112,
        4.756220610293723,
        4.756239205901796,
        4.756257324699407,
        4.7562759203074805,
        4.75629403910509,
        4.756312634713164,
        4.756330753510775,
        4.756349349118849,
        4.7563674679164585,
        4.756385586714069,
        4.756404182322143,
        4.756422301119753,
        4.756440896727827,
        4.7564590155254365,
        4.75647761113351,
        4.756495729931121,
        4.756513848728731,
        4.756532444336805,
        4.756550563134415,
        4.756569158742489,
        4.756587277540099,
        4.75660539633771,
        4.756623991945783,
        4.756642110743393,
        4.756660706351467,
        4.756678825149077,
        4.756696943946688,
        4.756715539554762,
        4.756733658352371,
        4.756751777149982,
        4.756770372758056,
        4.756788491555666,
        4.75680708716374,
        4.75682520596135,
        4.75684332475896,
        4.756861920367034,
        4.756880039164644,
        4.7568981579622545,
        4.756916753570328,
        4.756934872367938,
        4.756952991165549,
        4.756971586773623,
        4.7569897055712325,
        4.757007824368843,
        4.757026419976917,
        4.757044538774527,
        4.7570626575721375,
        4.757081253180211,
        4.757099371977821,
        4.757117490775432,
        4.757136086383505,
        4.7571542051811155,
        4.757172323978725,
        4.757190919586799,
        4.75720903838441,
        4.75722715718202,
        4.75724527597963,
        4.757263871587704,
        4.757281990385314,
        4.757300109182925,
        4.757318704790999,
        4.757336823588608,
        4.757354942386219,
        4.757373061183829,
        4.757391656791903,
        4.7574097755895135,
        4.757427894387123,
        4.757446013184734,
        4.757464608792807,
        4.757482727590418,
        4.757500846388028,
        4.757518965185638,
        4.757537560793712,
        4.757555679591322,
        4.757573798388933,
        4.757591917186542,
        4.757610512794616,
        4.757628631592227,
        4.757646750389837,
        4.7576648691874475,
        4.757683464795521,
        4.757701583593131,
        4.757719702390742,
        4.757737821188352,
        4.757755939985962,
        4.757774535594036,
        4.757792654391646,
        4.757810773189257,
        4.7578288919868665,
        4.757847010784477,
        4.757865606392551,
        4.757883725190161,
        4.757901843987772,
        4.757919962785381,
        4.757938081582992,
        4.757956200380602,
        4.757974795988676,
        4.7579929147862865,
        4.758011033583896,
        4.758029152381507,
        4.758047271179117,
        4.758065389976728,
        4.7580839855848005,
        4.758102104382411,
        4.758120223180022,
        4.758138341977632,
        4.7581564607752425,
        4.758174579572852,
        4.758192698370463,
        4.758211293978536,
        4.758229412776147,
        4.7582475315737565,
        4.758265650371367,
        4.758283769168977,
        4.758301887966588,
        4.758320006764198,
        4.758338125561808,
        4.758356721169882,
        4.758374839967492,
        4.758392958765103,
        4.758411077562712,
        4.758429196360323,
        4.758447315157933,
        4.758465433955544,
        4.758483552753154,
        4.758501671550764,
        4.758519790348375,
        4.758538385956448,
        4.758556504754059,
        4.758574623551668,
        4.758592742349279,
        4.758610861146889,
        4.7586289799445,
        4.7586470987421094,
        4.75866521753972,
        4.758683336337331,
        4.758701455134941,
        4.758719573932551,
        4.758737692730161,
        4.758755811527772,
        4.758773930325382,
        4.7587920491229925,
        4.758810167920602,
        4.758828286718213,
        4.758846405515823,
        4.7588645243134335,
        4.758882643111043,
        4.758900761908654,
        4.758919357516728,
        4.758937476314338,
        4.758955595111948,
        4.758973713909558,
        4.758991832707169,
        4.759009951504779,
        4.7590280703023895,
        4.759046189099999,
        4.75906430789761,
        4.75908242669522,
        4.759100545492831,
        4.759118187479977,
        4.759136306277587,
        4.759154425075198,
        4.759172543872808,
        4.759190662670418,
        4.759208781468028,
        4.759226900265639,
        4.759245019063249,
        4.759263137860859,
        4.75928125665847,
        4.75929937545608,
        4.759317494253691,
        4.7593356130513005,
        4.759353731848911,
        4.759371850646521,
        4.759389969444132,
        4.7594080882417416,
        4.759426207039352,
        4.759444325836962,
        4.759462444634573,
        4.759480563432183,
        4.759498205419329,
        4.75951632421694,
        4.75953444301455,
        4.759552561812161,
        4.75957068060977,
        4.759588799407381,
        4.759606918204991,
        4.759625037002602,
        4.7596431558002115,
        4.759661274597822,
        4.759679393395432,
        4.75969703538258,
        4.759715154180189,
        4.7597332729778,
        4.75975139177541,
        4.759769510573021,
        4.7597876293706305,
        4.759805748168241,
        4.759823866965851,
        4.759841508952998,
        4.7598596277506084,
        4.759877746548218,
        4.759895865345829,
        4.759913984143439,
        4.7599321029410495,
        4.759950221738659,
        4.759967863725807,
        4.759985982523417,
        4.7600041013210275,
        4.760022220118637,
        4.760040338916248,
        4.760058457713858,
        4.7600760997010045,
        4.760094218498615,
        4.760112337296225,
        4.760130456093836,
        4.760148574891446,
        4.760166693689056,
        4.760184335676203,
        4.760202454473814,
        4.760220573271424,
        4.760238692069034,
        4.760256810866644,
        4.760274452853791,
        4.7602925716514015,
        4.760310690449011,
        4.760328809246622,
        4.760346928044232,
        4.7603645700313795,
        4.760382688828989,
        4.7604008076266,
        4.76041892642421,
        4.7604365684113565,
        4.760454687208967,
        4.760472806006577,
        4.760490924804188,
        4.7605085667913345,
        4.760526685588944,
        4.760544804386555,
        4.760562923184165,
        4.7607245619312675,
        4.760742680728878,
        4.760760799526488,
        4.760778441513635,
        4.760796560311245,
        4.760814679108855,
        4.760832797906466,
        4.760850439893613,
        4.7608685586912225,
        4.760886677488833,
        4.76090431947598,
        4.760922438273591,
        4.7609405570712005,
        4.760958199058347,
        4.760976317855958,
        4.760994436653568,
        4.761012078640715,
        4.761030197438325,
        4.761048316235936,
        4.7610659582230825,
        4.761084077020692,
        4.761102195818303,
        4.76111983780545,
        4.76113795660306,
        4.76115607540067,
        4.761173717387817,
        4.761191836185428,
        4.761209954983038,
        4.761227596970184,
        4.761245715767795,
        4.761263834565405,
        4.7612814765525515,
        4.761299595350162,
        4.761317714147772,
        4.76133535613492,
        4.7613534749325295,
        4.761371116919676,
        4.761389235717287,
        4.761407354514897,
        4.761424996502044,
        4.761443115299654,
        4.761460757286801,
        4.761478876084412,
        4.761496994882021,
        4.761514636869168,
        4.761532755666779,
        4.7615503976539255,
        4.761568516451536,
        4.761586635249146,
        4.761604277236293,
        4.7616223960339035,
        4.76164003802105,
        4.76165815681866,
        4.761675798805808,
        4.761693917603417,
        4.761712036401028,
        4.761729678388175,
        4.761747797185785,
        4.761765439172931,
        4.761783557970542,
        4.761801199957689,
        4.7618193187552995,
        4.761836960742446,
        4.761855079540056,
        4.761872721527203,
        4.7618908403248135,
        4.761908959122423,
        4.761926601109571,
        4.761944719907181,
        4.761962361894327,
        4.761980480691938,
        4.761998122679085,
        4.7620162414766956,
        4.762033883463842,
        4.762052002261452,
        4.762069644248599,
        4.7620877630462095,
        4.762105405033356,
        4.762123523830967,
        4.762141165818114,
        4.7621592846157235,
        4.76217692660287,
        4.762195045400481,
        4.762212687387628,
        4.762230806185238,
        4.762248448172385,
        4.762266566969995,
        4.7622842089571416,
        4.762301850944289,
        4.762319969741899,
        4.762337611729046,
        4.762355730526656,
        4.762373372513803,
        4.7644362929838255,
        4.766677540567171,
        4.766698997038025,
        4.7667199766984165,
        4.766741433169271,
        4.766762412829662,
        4.766783869300516,
        4.7668048489609065,
        4.766826305431761,
        4.766847285092152,
        4.766868741563006,
        4.766889721223397,
        4.766911177694252,
        4.766932634165106,
        4.766953613825496,
        4.7669750702963505,
        4.766996049956742,
        4.767017506427596,
        4.767038486087987,
        4.767059942558841,
        4.767080922219232,
        4.767102378690086,
        4.767123358350477,
        4.767144814821331,
        4.7671657944817225,
        4.767186774142113,
        4.767208230612967,
        4.767229210273358,
        4.7672506667442125,
        4.767271646404603,
        4.767293102875457,
        4.767314082535848,
        4.7673355390067025,
        4.767356518667094,
        4.767377975137948,
        4.767398954798338,
        4.767419934458729,
        4.767441390929584,
        4.767462370589975,
        4.767483827060829,
        4.767504806721219,
        4.767695530906591,
        4.767716510566982,
        4.767737967037836,
        4.767758946698227,
        4.767779926358618,
        4.7678013828294725,
        4.767822362489863,
        4.767843342150254,
        4.767864798621108,
        4.767885778281499,
        4.76790675794189,
        4.767928214412744,
        4.767949194073135,
        4.767970173733525,
        4.76799163020438,
        4.768012609864771,
        4.768033589525162,
        4.768055045996016,
        4.7680760256564065,
        4.768097005316798,
        4.768118461787652,
        4.768139441448043,
        4.768160421108433,
        4.768181877579288,
        4.768202857239679,
        4.76822383690007,
        4.768245293370924,
        4.768266273031315,
        4.768287252691706,
        4.768308232352097,
        4.768329688822951,
        4.768350668483341,
        4.768371648143733,
        4.768392627804124,
        4.768414084274978,
        4.768435063935368,
        4.7684560435957595,
        4.768477023256151,
        4.768498479727005,
        4.768519459387395,
        4.768540439047786,
        4.768561418708177,
        4.768582875179031,
        4.768603854839422,
        4.768624834499813,
        4.7686458141602035,
        4.768667270631058,
        4.768688250291449,
        4.76870922995184,
        4.76873020961223,
        4.7687511892726215,
        4.768772645743476,
        4.768793625403867,
        4.768814605064257,
        4.768835584724648,
        4.76885656438504,
        4.768878020855894,
        4.768899000516284,
        4.768919980176675,
        4.7689409598370665,
        4.768961939497457,
        4.768982919157848,
        4.769004375628702,
        4.769025355289093,
        4.769046334949484,
        4.769067314609875,
        4.769088294270265,
        4.769109273930656,
        4.769130253591047,
        4.769151710061902,
        4.769172689722292,
        4.769193669382683,
        4.769214649043074,
        4.7692356287034645,
        4.769256608363856,
        4.769277588024247,
        4.769298567684637,
        4.769319547345028,
        4.7693410038158826,
        4.769361983476274,
        4.769382963136664,
        4.769403942797055,
        4.769424922457446,
        4.769445902117837,
        4.769466881778228,
        4.769487861438619,
        4.769508841099009,
        4.7695298207594,
        4.769550800419791,
        4.769571780080182,
        4.769592759740573,
        4.769613739400963,
        4.7696351958718175,
        4.769656175532209,
        4.7696771551926,
        4.76969813485299,
        4.769719114513381,
        4.769740094173772,
        4.769761073834163,
        4.769782053494554,
        4.769803033154945,
        4.769824012815335,
        4.7698449924757265,
        4.769865972136118,
        4.769886951796508,
        4.769907931456899,
        4.769928911117289,
        4.7699498907776805,
        4.769970870438072,
        4.769991850098462,
        4.770012829758853,
        4.770033809419244,
        4.7700547890796345,
        4.770075768740026,
        4.770096748400417,
        4.770117728060807,
        4.770138707721198,
        4.7701596873815895,
        4.770180190231517,
        4.770201169891908,
        4.770222149552298,
        4.770243129212689,
        4.77026410887308,
        4.770285088533471,
        4.770306068193862,
        4.770327047854252,
        4.770348027514643,
        4.770369007175034,
        4.770389986835425,
        4.770410966495816,
        4.770431946156207,
        4.770452449006134,
        4.770473428666525,
        4.770494408326916,
        4.770515387987307,
        4.770536367647698,
        4.770557347308088,
        4.770578326968479,
        4.7705993066288706,
        4.770620286289261,
        4.770640789139188,
        4.770661768799579,
        4.77068274845997,
        4.770703728120361,
        4.770724707780752,
        4.770745687441143,
        4.770766667101533,
        4.770787169951461,
        4.7708081496118515,
        4.770829129272243,
        4.770850108932634,
        4.770871088593024,
        4.770892068253415,
        4.770912571103342,
        4.770933550763734,
        4.770954530424124,
        4.770975510084515,
        4.770996489744906,
        4.7710174694052965,
        4.7710379722552245,
        4.771058951915615,
        4.771079931576006,
        4.771100911236397,
        4.771121414086324,
        4.7711423937467154,
        4.771163373407106,
        4.771184353067497,
        4.771205332727888,
        4.771225835577815,
        4.7712468152382055,
        4.771267794898597,
        4.771288774558988,
        4.771309277408915,
        4.771330257069306,
        4.771351236729696,
        4.771372216390088,
        4.771392719240015,
        4.771413698900406,
        4.771434678560797,
        4.771455658221187,
        4.771476161071115,
        4.771497140731506,
        4.771518120391897,
        4.771538623241824,
        4.771559602902215,
        4.771580582562605,
        4.771601562222997,
        4.771622065072924,
        4.771643044733315,
        4.771664024393706,
        4.771684527243633,
        4.771705506904024,
        4.771726486564415,
        4.771746989414343,
        4.771767969074733,
        4.771788948735124,
        4.771809451585051,
        4.7718304312454425,
        4.771851410905833,
        4.771871913755761,
        4.771892893416151,
        4.771913873076542,
        4.771934375926469,
        4.771955355586861,
        4.771976335247252,
        4.771996838097179,
        4.77201781775757,
        4.772038320607497,
        4.772059300267888,
        4.772080279928279,
        4.772100782778206,
        4.772121762438597,
        4.772142742098988,
        4.772163244948915,
        4.7721842246093065,
        4.772204727459234,
        4.772225707119625,
        4.772246686780015,
        4.772267189629943,
        4.772288169290333,
        4.772308672140261,
        4.772329651800652,
        4.772350154650579,
        4.77237113431097,
        4.772392113971361,
        4.772412616821288,
        4.7724335964816795,
        4.772454099331607,
        4.772475078991998,
        4.772495581841925,
        4.772516561502316,
        4.772537064352243,
        4.7725580440126345,
        4.772578546862562,
        4.772599526522952,
        4.772620506183343,
        4.77264100903327,
        4.772661988693661,
        4.772682491543589,
        4.77270347120398,
        4.772723974053907,
        4.772744953714298,
        4.772765456564225,
        4.772786436224616,
        4.772806939074544,
        4.772827918734935,
        4.772848421584862,
        4.772869401245253,
        4.77288990409518,
        4.772910406945107,
        4.7729313866054985,
        4.772951889455426,
        4.772972869115817,
        4.772993371965744,
        4.773014351626135,
        4.773034854476062,
        4.7730558341364535,
        4.773076336986381,
        4.773097316646772,
        4.773117819496699,
        4.773138322346626,
        4.773159302007017,
        4.7731798048569445,
        4.773200784517336,
        4.773221287367263,
        4.773366237748145,
        4.773386740598073,
        4.773407720258463,
        4.773428223108391,
        4.773449202768782,
        4.77346970561871,
        4.773490208468637,
        4.773511188129027,
        4.773531690978955,
        4.773552193828882,
        4.7735731734892735,
        4.773593676339201,
        4.773614179189128,
        4.773635158849519,
        4.773655661699446,
        4.773676164549374,
        4.773697144209764,
        4.773717647059692,
        4.77373814990962,
        4.77375912957001,
        4.773779632419938,
        4.773800135269865,
        4.773821114930256,
        4.7738416177801835,
        4.773862120630111,
        4.773883100290502,
        4.773903603140429,
        4.773924105990356,
        4.773945085650747,
        4.773965588500674,
        4.7739860913506025,
        4.77400659420053,
        4.774027573860921,
        4.774048076710848,
        4.774068579560775,
        4.774089559221166,
        4.7741100620710935,
        4.774130564921021,
        4.774151067770949,
        4.774172047431339,
        4.774192550281267,
        4.774213053131194,
        4.774233555981121,
        4.7742545356415125,
        4.77427503849144,
        4.774295541341368,
        4.774316044191295,
        4.774336547041222,
        4.774357526701613,
        4.77437802955154,
        4.7743985324014675,
        4.7744190352513955,
        4.774440014911786,
        4.774460517761714,
        4.774481020611641,
        4.774501523461568,
        4.774522026311495,
        4.7745430059718865,
        4.774563508821814,
        4.774584011671742,
        4.774604514521669,
        4.774625017371596,
        4.774645520221524,
        4.774666499881914,
        4.7746870027318415,
        4.77470750558177,
        4.774728008431697,
        4.774748511281624,
        4.774769014131552,
        4.774789993791942,
        4.77481049664187,
        4.7748309994917975,
        4.774851502341725,
        4.774872005191652,
        4.77489250804158,
        4.774913010891507,
        4.774933513741434,
        4.774954493401825,
        4.7749749962517525,
        4.7749954991016805,
        4.775016001951608,
        4.775036504801535,
        4.775057007651462,
        4.77507751050139,
        4.775098013351317,
        4.775118516201244,
        4.775139019051172,
        4.775159998711563,
        4.775180501561491,
        4.775201004411418,
        4.775221507261345,
        4.775242010111272,
        4.7752625129612,
        4.7752830158111275,
        4.775303518661055,
        4.775324021510983,
        4.77534452436091,
        4.775365027210837,
        4.775385530060765,
        4.775406032910692,
        4.775426535760619,
        4.7754470386105465,
        4.775467541460475,
        4.775488044310402,
        4.775508547160329,
        4.775529050010257,
        4.775549552860184,
        4.775570055710111,
        4.7755905585600384,
        4.7756110614099665,
        4.775631564259894,
        4.775652067109821,
        4.775672569959749,
        4.775693072809676,
        4.775713575659603,
        4.77573407850953,
        4.775754581359458,
        4.775775084209386,
        4.775795587059313,
        4.775816089909241,
        4.775836592759168,
        4.775857095609095,
        4.775877598459023,
        4.77589810130895,
        4.7759186041588775,
        4.775939107008805,
        4.775959609858733,
        4.77598011270866,
        4.776000615558587,
        4.776021118408515,
        4.776041621258442,
        4.776062124108369,
        4.7760826269582966,
        4.776102652997761,
        4.776123155847689,
        4.776143658697616,
        4.776164161547543,
        4.776184664397471,
        4.776205167247398,
        4.776225670097325,
        4.7762461729472525,
        4.776266675797181,
        4.776287178647108,
        4.776307204686572,
        4.776327707536499,
        4.776348210386427,
        4.776368713236354,
        4.776389216086281,
        4.7764097189362085,
        4.7764302217861365,
        4.776450247825601,
        4.776470750675528,
        4.776491253525455,
        4.776511756375383,
        4.77653225922531,
        4.776552762075237,
        4.77671583125373,
        4.776736334103657,
        4.776756836953584,
        4.7767773398035125,
        4.77679784265344,
        4.776817868692904,
        4.776838371542831,
        4.776858874392758,
        4.776879377242686,
        4.77689940328215,
        4.776919906132077,
        4.7769404089820044,
        4.7769609118319325,
        4.77698141468186,
        4.777001440721324,
        4.777021943571251,
        4.777042446421178,
        4.777062949271106,
        4.77708297531057,
        4.777103478160497,
        4.7771239810104245,
        4.7771444838603525,
        4.777164509899816,
        4.777185012749744,
        4.777205515599671,
        4.777225541639135,
        4.777246044489062,
        4.77726654733899,
        4.777287050188917,
        4.777307076228381,
        4.7773275790783085,
        4.777348081928236,
        4.7773681079677,
        4.777388610817628,
        4.777409113667555,
        4.777429139707019,
        4.777449642556946,
        4.777470145406873,
        4.777490648256801,
        4.777510674296265,
        4.777531177146193,
        4.77755167999612,
        4.777571706035584,
        4.777592208885511,
        4.777612711735439,
        4.777632737774903,
        4.77765324062483,
        4.777673266664294,
        4.777693769514221,
        4.777714272364149,
        4.777734298403613,
        4.777754801253541,
        4.777775304103468,
        4.777795330142932,
        4.777815832992859,
        4.777836335842787,
        4.77785636188225,
        4.777876864732178,
        4.777896890771642,
        4.7779173936215695,
        4.777937896471497,
        4.777957922510961,
        4.777978425360889,
        4.777998451400352,
        4.77801895425028,
        4.778038980289744,
        4.778059483139671,
        4.778079985989598,
        4.778100012029062,
        4.7781205148789905,
        4.778140540918454,
        4.778161043768382,
        4.778181069807846,
        4.778201572657773,
        4.7782220755077,
        4.778242101547164,
        4.778262604397091,
        4.778282630436555,
        4.778303133286483,
        4.778323159325947,
        4.778343662175875,
        4.778363688215339,
        4.778384191065266,
        4.77840421710473,
        4.778424719954657,
        4.778444745994121,
        4.778465248844049,
        4.778485274883513,
        4.77850577773344,
        4.778525803772904,
        4.7785463066228315,
        4.778566332662296,
        4.778586835512223,
        4.778606861551687,
        4.778627364401615,
        4.778647390441079,
        4.778667893291006,
        4.77868791933047,
        4.778708422180397,
        4.778728448219861,
        4.7787489510697885,
        4.7787689771092525,
        4.77878947995918,
        4.778809505998644,
        4.778829532038108,
        4.778850034888036,
        4.7788700609275,
        4.778890563777427,
        4.778910589816891,
        4.778931092666818,
        4.778951118706282,
        4.778971144745746,
        4.7789916475956735,
        4.779011673635138,
        4.779032176485066,
        4.779052202524529,
        4.779072228563993,
        4.779092731413921,
        4.779112757453385,
        4.779133260303312,
        4.779153286342776,
        4.77917331238224,
        4.779193815232167,
        4.779213841271631,
        4.779234344121559,
        4.779254370161023,
        4.779274396200487,
        4.779294899050414,
        4.779314925089878,
        4.779334951129342,
        4.77935545397927,
        4.779375480018734,
        4.779395506058198,
        4.779416008908125,
        4.779436034947589,
        4.779456060987053,
        4.7794765638369805,
        4.7794965898764445,
        4.779516615915909,
        4.779537118765836,
        4.7795571448053,
        4.779577170844764,
        4.779597673694691,
        4.779617699734155,
        4.779637725773619,
        4.779658228623546,
        4.77967825466301,
        4.779698280702474,
        4.779718783552402,
        4.7797388095918665,
        4.7797588356313305,
        4.779778861670794,
        4.779799364520722,
        4.779819390560186,
        4.77983941659965,
        4.779859442639114,
        4.779879945489041,
        4.779899971528505,
        4.779919997567969,
        4.779940500417896,
        4.77996052645736,
        4.779980552496824,
        4.7800005785362885,
        4.780021081386216,
        4.78004110742568,
        4.780061133465144,
        4.780081159504608,
        4.780101185544072,
        4.780121688393999,
        4.780141714433463,
        4.780161740472927,
        4.780181766512391,
        4.780201792551855,
        4.780222295401782,
        4.780242321441246,
        4.78026234748071,
        4.7802823735201745,
        4.7803023995596385,
        4.780322902409566,
        4.78034292844903,
        4.780362954488494,
        4.780382980527958,
        4.780403006567422,
        4.780423509417349,
        4.780443535456813,
        4.780463561496277,
        4.780483587535741,
        4.780503613575205,
        4.780523639614669,
        4.780543665654133,
        4.7805641685040605,
        4.780584194543525,
        4.780604220582989,
        4.780624246622453,
        4.780644272661917,
        4.780664298701381,
        4.780684324740845,
        4.780704827590772,
        4.780724853630236,
        4.7807448796697,
        4.780764905709164,
        4.780784931748628,
        4.780804957788092,
        4.780824983827556,
        4.78084500986702,
        4.780865035906484,
        4.780885061945948,
        4.780905564795876,
        4.78092559083534,
        4.780945616874804,
        4.780965642914268,
        4.780985668953732,
        4.781005694993196,
        4.781025721032659,
        4.781045747072123,
        4.781065773111587,
        4.781085799151051,
        4.781105825190515,
        4.781125851229979,
        4.781145877269443,
        4.781165903308907,
        4.781185929348371,
        4.781205955387835,
        4.7812259814272995,
        4.781246484277227,
        4.781266510316691,
        4.781286536356155,
        4.781306562395619,
        4.781326588435083,
        4.781346614474547,
        4.781366640514011,
        4.781386666553475,
        4.781406692592939,
        4.781426718632403,
        4.781446744671867,
        4.78146677071133,
        4.781486796750794,
        4.781506822790258,
        4.7815268488297225,
        4.7815468748691865,
        4.781566424098187,
        4.7815864501376515,
        4.7816064761771155,
        4.78162650221658,
        4.781646528256044,
        4.781666554295507,
        4.781686580334971,
        4.781706606374435,
        4.781726632413899,
        4.781746658453363,
        4.781766684492827,
        4.781786710532291,
        4.781806736571755,
        4.781826762611219,
        4.781846788650683,
        4.781866814690147,
        4.781886840729611,
        4.781906389958611,
        4.781926415998075,
        4.7819464420375395,
        4.7819664680770035,
        4.781986494116468,
        4.782006520155932,
        4.782026546195396,
        4.78204657223486,
        4.782066598274324,
        4.782086624313788,
        4.782106173542788,
        4.782126199582252,
        4.782146225621716,
        4.78216625166118,
        4.782186277700644,
        4.782206303740108,
        4.782226329779572,
        4.782246355819036,
        4.782265905048037,
        4.7822859310875,
        4.782305957126964,
        4.782325983166428,
        4.7823460092058925,
        4.7823660352453565,
        4.7823855844743575,
        4.7824056105138215,
        4.782425636553286,
        4.78244566259275,
        4.782465688632214,
        4.782485714671677,
        4.782505263900678,
        4.782525289940142,
        4.782545315979606,
        4.78256534201907,
        4.782585368058534,
        4.782604917287534,
        4.782624943326998,
        4.782644969366462,
        4.782664995405926,
        4.782684544634927,
        4.782704570674391,
        4.782724596713855,
        4.782744622753319,
        4.782764648792783,
        4.782784198021783,
        4.782804224061247,
        4.782824250100711,
        4.7828442761401755,
        4.7828638253691755,
        4.78288385140864,
        4.782903877448104,
        4.782923903487568,
        4.782943452716569,
        4.782963478756033,
        4.782983504795497,
        4.783102707411354,
        4.783122733450818,
        4.783142282679818,
        4.783162308719282,
        4.783182334758746,
        4.78320236079821,
        4.783221910027211,
        4.783241936066675,
        4.783261962106138,
        4.783281511335139,
        4.783301537374603,
        4.783321563414067,
        4.783341112643067,
        4.783361138682531,
        4.7833811647219955,
        4.783400713950996,
        4.7834207399904605,
        4.7834407660299245,
        4.783460315258925,
        4.783480341298389,
        4.7834998905273896,
        4.783519916566854,
        4.783539942606318,
        4.783559491835318,
        4.783579517874782,
        4.783599543914246,
        4.783619093143247,
        4.783639119182711,
        4.783658668411711,
        4.783678694451175,
        4.783698720490639,
        4.78371826971964,
        4.783738295759104,
        4.783757844988104,
        4.783777871027568,
        4.783797897067032,
        4.783817446296033,
        4.783837472335497,
        4.783857021564497,
        4.783877047603961,
        4.784550303978322,
        4.784569853207323,
        4.784589402436324,
        4.784609428475788,
        4.784628977704788,
        4.784649003744252,
        4.784668552973253,
        4.784688579012717,
        4.784708128241717,
        4.784728154281181,
        4.784747703510182,
        4.784767252739182,
        4.784787278778646,
        4.784806828007647,
        4.784826854047111,
        4.784846403276111,
        4.784865952505112,
        4.784885978544576,
        4.784905527773576,
        4.78492555381304,
        4.785063352036971,
        4.785083378076435,
        4.785102927305436,
        4.785122476534436,
        4.7851425025739,
        4.785162051802901,
        4.785181601031901,
        4.785201627071365,
        4.785221176300366,
        4.785240725529366,
        4.78526075156883,
        4.785280300797831,
        4.785299850026832,
        4.785319876066295,
        4.785339425295296,
        4.785358974524297,
        4.785379000563761,
        4.785398549792761,
        4.785418099021762,
        4.785438125061226,
        4.785457674290226,
        4.785477223519227,
        4.785497249558691,
        4.785516798787691,
        4.785536348016692,
        4.785555897245692,
        4.7855759232851565,
        4.785595472514157,
        4.785615021743158,
        4.785635047782622,
        4.785654597011622,
        4.785674146240623,
        4.785693695469623,
        4.7857137215090875,
        4.785733270738088,
        4.7857528199670885,
        4.785772369196089,
        4.785792395235553,
        4.7858119444645535,
        4.785831493693554,
        4.785851042922555,
        4.785871068962019,
        4.7858906181910195,
        4.78591016742002,
        4.7859297166490204,
        4.7859497426884845,
        4.785969291917485,
        4.7859888411464855,
        4.786008390375486,
        4.786027939604487,
        4.786047965643951,
        4.7860675148729515,
        4.786087064101952,
        4.786106613330952,
        4.786126162559953,
        4.786146188599417,
        4.7861657378284175,
        4.786185287057418,
        4.786204836286419,
        4.786224385515419,
        4.78624393474442,
        4.786263960783884,
        4.786283510012884,
        4.786303059241885,
        4.786322608470885,
        4.786342157699886,
        4.786361706928887,
        4.7863817329683505,
        4.786401282197351,
        4.786420831426352,
        4.786440380655352,
        4.786459929884353,
        4.786479479113353,
        4.786499028342354,
        4.786518577571355,
        4.786538603610818,
        4.786558152839819,
        4.78657770206882,
        4.78659725129782,
        4.786616800526821,
        4.786636349755821,
        4.786655898984822,
        4.786675448213823,
        4.786694997442823,
        4.786715023482287,
        4.786734572711288,
        4.786754121940288,
        4.786773671169289,
        4.786793220398289,
        4.78681276962729,
        4.786832318856291,
        4.786851868085291,
        4.786871417314292,
        4.786890966543292,
        4.786910515772293,
        4.786930065001293,
        4.786949614230294,
        4.786969163459295,
        4.786988712688295,
        4.787008261917296,
        4.787027811146296,
        4.78704783718576,
        4.787067386414761,
        4.787086935643761,
        4.787106484872762,
        4.787126034101763,
        4.787145583330763,
        4.787165132559764,
        4.787184681788764,
        4.787204231017765,
        4.787223780246766,
        4.787243329475766,
        4.787262878704767,
        4.787282427933767,
        4.787301977162768,
        4.787321526391768,
        4.787341075620769,
        4.78736062484977,
        4.78738017407877,
        4.787399723307771,
        4.787418795726308,
        4.787438344955309,
        4.787457894184309,
        4.78747744341331,
        4.78749699264231,
        4.787516541871311,
        4.787536091100311,
        4.787555640329312,
        4.7875751895583125,
        4.787594738787313,
        4.7876142880163135,
        4.7876338372453136,
        4.7876533864743145,
        4.787672935703315,
        4.7876924849323155,
        4.787712034161316,
        4.7877315833903165,
        4.787750655808854,
        4.787770205037854,
        4.787789754266855,
        4.787809303495855,
        4.787828852724856,
        4.787848401953856,
        4.787867951182857,
        4.787887500411858,
        4.787907049640858,
        4.787926598869859,
        4.787945671288396,
        4.787965220517397,
        4.787984769746397,
        4.788004318975398,
        4.788023868204398,
        4.788043417433399,
        4.788062966662399,
        4.788082039080937,
        4.788101588309937,
        4.788121137538938,
        4.788140686767938,
        4.788160235996939,
        4.78817978522594,
        4.78819933445494,
        4.788218406873477,
        4.788237956102478,
        4.788257505331479,
        4.788277054560479,
        4.78829660378948,
        4.788315676208017,
        4.7883352254370175,
        4.7883547746660176,
        4.7883743238950185,
        4.7883938731240185,
        4.7884134223530195,
        4.788432494771556,
        4.788452044000557,
        4.788471593229557,
        4.788491142458558,
        4.788510214877095,
        4.788529764106096,
        4.788549313335096,
        4.788568862564097,
        4.788588411793097,
        4.788607484211635,
        4.788627033440635,
        4.788646582669636,
        4.788666131898636,
        4.788685204317174,
        4.788704753546174,
        4.788724302775175,
        4.788743852004175,
        4.788762924422713,
        4.788782473651713,
        4.788802022880714,
        4.788821572109714,
        4.788840644528252,
        4.788860193757252,
        4.788879742986253,
        4.78889881540479,
        4.7889183646337905,
        4.7889379138627906,
        4.7889574630917915,
        4.788976535510328,
        4.7889960847393285,
        4.789015633968329,
        4.789034706386866,
        4.789054255615867,
        4.789073804844867,
        4.789092877263405,
        4.789112426492405,
        4.789131975721406,
        4.789151048139943,
        4.789170597368944,
        4.789190146597944,
        4.789209219016481,
        4.789228768245482,
        4.789248317474483,
        4.78926738989302,
        4.78928693912202,
        4.789306488351021,
        4.789325560769558,
        4.789345109998559,
        4.789364659227559,
        4.7893837316460965,
        4.789403280875097,
        4.7894228301040975,
        4.7894419025226345,
        4.789461451751635,
        4.789480524170172,
        4.789500073399172,
        4.789519622628173,
        4.78953869504671,
        4.789558244275711,
        4.789577316694248,
        4.789596865923249,
        4.789616415152249,
        4.789635487570786,
        4.789655036799787,
        4.789674109218324,
        4.789693658447325,
        4.789713207676325,
        4.789732280094863,
        4.789751829323863,
        4.7897709017424,
        4.789790450971401,
        4.789809523389938,
        4.7898290726189385,
        4.789848621847939,
        4.789867694266476,
        4.7898872434954765,
        4.789906315914013,
        4.789925865143014,
        4.789944937561551,
        4.789964486790552,
        4.789983559209089,
        4.79000310843809,
        4.790022180856627,
        4.790041730085627,
        4.790060802504165,
        4.790080351733165,
        4.790099900962166,
        4.790118973380703,
        4.790138522609704,
        4.790157595028241,
        4.790177144257241,
        4.7901962166757786,
        4.790215765904779,
        4.7905433346931545,
        4.790562883922155,
        4.7905819563406915,
        4.790601505569692,
        4.790620577988229,
        4.79064012721723,
        4.790659199635767,
        4.790678272054304,
        4.790697821283305,
        4.790716893701842,
        4.790736442930843,
        4.79075551534938,
        4.790774587767917,
        4.790794136996918,
        4.790813209415455,
        4.790832758644455,
        4.790851831062993,
        4.7908709034815296,
        4.79089045271053,
        4.790909525129067,
        4.7909290743580675,
        4.790948146776605,
        4.790967219195142,
        4.790986768424142,
        4.79100584084268,
        4.791024913261217,
        4.791044462490217,
        4.791063534908755,
        4.791082607327292,
        4.791102156556292,
        4.79112122897483,
        4.791140301393367,
        4.791159850622367,
        4.7911789230409045,
        4.7911979954594415,
        4.7912175446884415,
        4.791236617106979,
        4.791255689525516,
        4.791275238754516,
        4.791294311173054,
        4.791313383591591,
        4.791332932820592,
        4.791352005239129,
        4.791371077657666,
        4.791390150076203,
        4.791409699305204,
        4.791428771723741,
        4.791447844142278,
        4.791467393371279,
        4.7914864657898155,
        4.7915055382083525,
        4.791524610626889,
        4.79154415985589,
        4.791563232274427,
        4.791582304692965,
        4.791601853921965,
        4.791620926340502,
        4.79163999875904,
        4.791659071177577,
        4.791678620406577,
        4.791697692825115,
        4.791716765243652,
        4.791735837662189,
        4.7917549100807255,
        4.7917744593097265,
        4.791793531728263,
        4.7918126041468,
        4.791831676565338,
        4.791851225794338,
        4.791870298212875,
        4.791889370631413,
        4.79190844304995,
        4.791927515468487,
        4.791947064697488,
        4.791966137116025,
        4.791985209534562,
        4.792004281953099,
        4.7920233543716355,
        4.7920429036006364,
        4.792061976019173,
        4.792081048437711,
        4.792100120856248,
        4.792119193274785,
        4.792138265693322,
        4.792157814922323,
        4.79217688734086,
        4.792195959759397,
        4.792215032177934,
        4.792234104596472,
        4.7922531770150085,
        4.792272726244009,
        4.792291798662546,
        4.792310871081083,
        4.79232994349962,
        4.792349015918157,
        4.792368088336695,
        4.792387160755232,
        4.792406233173769,
        4.79242578240277,
        4.792444854821307,
        4.792463927239844,
        4.792482999658381,
        4.7925020720769185,
        4.792521144495455,
        4.792540216913992,
        4.792559289332529,
        4.792578361751066,
        4.792597910980067,
        4.792616983398604,
        4.792636055817141,
        4.792655128235679,
        4.792674200654216,
        4.792693273072753,
        4.79271234549129,
        4.7927314179098275,
        4.792750490328364,
        4.792769562746901,
        4.792788635165438,
        4.792807707583976,
        4.792826780002513,
        4.792884474068588,
        4.792903546487125,
        4.792922618905662,
        4.792941691324199,
        4.7929607637427365,
        4.792979836161273,
        4.79299890857981,
        4.793017980998347,
        4.793037053416885,
        4.793056125835422,
        4.793075198253959,
        4.793094270672496,
        4.793113343091034,
        4.793132415509571,
        4.793151487928108,
        4.793170560346645,
        4.7931896327651815,
        4.793208705183719,
        4.793227777602256,
        4.793246850020793,
        4.79326592243933,
        4.793284994857868,
        4.793304067276405,
        4.793323139694942,
        4.793342212113479,
        4.793361284532016,
        4.7933803569505535,
        4.793398952558627,
        4.793418024977164,
        4.793437097395701,
        4.793456169814238,
        4.793475242232775,
        4.793494314651313,
        4.79351338706985,
        4.793532459488387,
        4.793551531906924,
        4.793570604325462,
        4.7935896767439985,
        4.793608749162535,
        4.793627821581072,
        4.793646893999609,
        4.793665966418147,
        4.793684562026221,
        4.793703634444758,
        4.793722706863295,
        4.793741779281832,
        4.793760851700369,
        4.7937799241189065,
        4.7937989965374435,
        4.79381806895598,
        4.793837141374517,
        4.793855736982591,
        4.793874809401128,
        4.793893881819666,
        4.793912954238203,
        4.79393202665674,
        4.793951099075277,
        4.7939701714938145,
        4.7939892439123515,
        4.794007839520425,
        4.794026911938962,
        4.794045984357499,
        4.794065056776036,
        4.794084129194574,
        4.794103201613111,
        4.794121797221185,
        4.794140869639722,
        4.794159942058259,
        4.7941790144767955,
        4.794198086895333,
        4.79421715931387,
        4.794235754921944,
        4.794254827340481,
        4.794273899759018,
        4.794292972177555,
        4.794312044596093,
        4.794330640204166,
        4.7943497126227035,
        4.79436878504124,
        4.794387857459777,
        4.794406929878314,
        4.794425525486388,
        4.794444597904925,
        4.794463670323463,
        4.794482742742,
        4.794501338350074,
        4.794520410768611,
        4.7945394831871475,
        4.7945585556056844,
        4.794577628024222,
        4.794596223632296,
        4.794615296050833,
        4.79463436846937,
        4.794653440887907,
        4.794672036495981,
        4.794691108914518,
        4.7947101813330555,
        4.794728776941128,
        4.794747849359666,
        4.794766921778203,
        4.79478599419674,
        4.794842734641888,
        4.794861807060426,
        4.7948804026684995,
        4.794899475087036,
        4.794918547505573,
        4.794937143113647,
        4.794956215532184,
        4.794975287950721,
        4.794993883558795,
        4.795012955977332,
        4.79503202839587,
        4.795050624003943,
        4.79506969642248,
        4.795088768841017,
        4.795107364449091,
        4.795126436867628,
        4.795145509286165,
        4.795164104894239,
        4.795183177312776,
        4.795202249731314,
        4.7952208453393865,
        4.795239917757924,
        4.795258990176461,
        4.795277585784535,
        4.795296658203072,
        4.795315730621609,
        4.795334326229683,
        4.79535339864822,
        4.795372471066758,
        4.7953910666748305,
        4.795410139093368,
        4.795428734701442,
        4.795447807119979,
        4.795466879538516,
        4.79548547514659,
        4.795504547565127,
        4.795523143173201,
        4.7955422155917375,
        4.7955612880102745,
        4.795579883618348,
        4.795598956036885,
        4.795617551644959,
        4.795636624063497,
        4.795655696482034,
        4.795674292090108,
        4.795693364508645,
        4.795711960116718,
        4.795731032535255,
        4.795749628143329,
        4.795768700561866,
        4.79578729616994,
        4.795806368588477,
        4.795825441007014,
        4.795844036615088,
        4.7958631090336254,
        4.795881704641698,
        4.795900777060236,
        4.795919372668309,
        4.795938445086847,
        4.795957040694921,
        4.795976113113458,
        4.7959947087215316,
        4.7960137811400685,
        4.796032376748142,
        4.796051449166679,
        4.796070044774753,
        4.79608911719329,
        4.796107712801364,
        4.796126785219901,
        4.796145380827975,
        4.7961644532465115,
        4.796183048854585,
        4.796202121273122,
        4.796220716881196,
        4.796239789299733,
        4.796258384907807,
        4.796277457326345,
        4.796296052934418,
        4.7963151253529555,
        4.796333720961029,
        4.796352793379566,
        4.79637138898764,
        4.796390461406177,
        4.796409057014251,
        4.796427652622325,
        4.796446725040862,
        4.796465320648935,
        4.796484393067472,
        4.796502988675546,
        4.796522061094083,
        4.796540656702157,
        4.796559729120694,
        4.796578324728768,
        4.7965969203368415,
        4.796615992755378,
        4.796634588363452,
        4.796653660781989,
        4.796672256390063,
        4.796690851998137,
        4.796709924416674,
        4.796728520024748,
        4.7967475924432845,
        4.796766188051358,
        4.796784783659432,
        4.796803856077969,
        4.796822451686043,
        4.79684152410458,
        4.796860119712654,
        4.7968787153207275,
        4.7968977877392645,
        4.796916383347338,
        4.796934978955412,
        4.796954051373949,
        4.796972646982023,
        4.796991242590097,
        4.797010315008634,
        4.797028910616707,
        4.797047983035244,
        4.797066578643318,
        4.797085174251392,
        4.797104246669929,
        4.797122842278003,
        4.797141437886077,
        4.7971605103046135,
        4.797179105912687,
        4.797197701520761,
        4.797216773939298,
        4.797235369547372,
        4.797253965155446,
        4.79727256076352,
        4.7972916331820565,
        4.79731022879013,
        4.797328824398204,
        4.797347896816741,
        4.797366492424815,
        4.797385088032889,
        4.797404160451426,
        4.7974227560594995,
        4.797441351667573,
        4.797459947275647,
        4.797479019694184,
        4.797497615302258,
        4.797516210910332,
        4.797534806518405,
        4.7975538789369425,
        4.797572474545016,
        4.797591070153089,
        4.797609665761163,
        4.7976287381797,
        4.797647333787774,
        4.797665929395848,
        4.7976845250039215,
        4.797703597422458,
        4.797722193030532,
        4.797740788638606,
        4.79775938424668,
        4.797778456665217,
        4.797797052273291,
        4.7978156478813645,
        4.797834243489438,
        4.797852839097512,
        4.797871911516049,
        4.797890507124123,
        4.797909102732197,
        4.79792769834027,
        4.7979462939483435,
        4.797965366366881,
        4.797983961974954,
        4.798002557583028,
        4.798021153191102,
        4.798039748799176,
        4.798058821217713,
        4.7980774168257865,
        4.79809601243386,
        4.798114608041934,
        4.798133203650008,
        4.798151799258082,
        4.798170871676619,
        4.7981894672846925,
        4.798208062892766,
        4.798226658500839,
        4.798245254108913,
        4.798263849716987,
        4.798282445325061,
        4.798301517743598,
        4.7983201133516715,
        4.798338708959745,
        4.798357304567819,
        4.798375900175893,
        4.798394495783967,
        4.798487950634798,
        4.798506546242872,
        4.798525141850946,
        4.79854373745902,
        4.7985623330670935,
        4.798580928675167,
        4.798599524283241,
        4.798618119891314,
        4.798636715499388,
        4.798655787917926,
        4.798674383525999,
        4.7986929791340724,
        4.798711574742146,
        4.79873017035022,
        4.798748765958294,
        4.798767361566368,
        4.798785957174442,
        4.798804552782515,
        4.798823148390588,
        4.798841743998662,
        4.798860339606736,
        4.79887893521481,
        4.798897530822884,
        4.798916126430957,
        4.798934722039031,
        4.798953317647104,
        4.798971913255178,
        4.798990508863252,
        4.799009104471326,
        4.7990277000793995,
        4.799046295687473,
        4.799064891295547,
        4.799083486903621,
        4.799102559322158,
        4.799121154930232,
        4.7991392737278415,
        4.799157869335915,
        4.799176464943989,
        4.799195060552063,
        4.799213656160137,
        4.799232251768211,
        4.799250847376284,
        4.799269442984357,
        4.799288038592431,
        4.799306634200505,
        4.799325229808579,
        4.799343825416653,
        4.7993624210247265,
        4.7993810166327995,
        4.799399612240873,
        4.799418207848947,
        4.799436803457021,
        4.799455399065095,
        4.799473994673169,
        4.799492590281242,
        4.799511185889316,
        4.799529781497389,
        4.799548377105463,
        4.799566972713537,
        4.799585568321611,
        4.799603687119221,
        4.799622282727294,
        4.799640878335368,
        4.799659473943442,
        4.799678069551516,
        4.79969666515959,
        4.799715260767663,
        4.799733856375737,
        4.799752451983811,
        4.799771047591884,
        4.799789166389495,
        4.7998077619975685,
        4.799826357605642,
        4.799844953213716,
        4.799863548821789,
        4.799882144429863,
        4.799900740037937,
        4.799919335646011,
        4.799937454443621,
        4.799956050051694,
        4.799974645659768,
        4.799993241267842,
        4.800011836875916,
        4.8000304324839895,
        4.800049028092063,
        4.800067146889673,
        4.800085742497747,
        4.800104338105821,
        4.800122933713895,
        4.8001415293219685,
        4.800160124930042,
        4.800178243727652,
        4.800196839335726,
        4.8002154349438,
        4.800234030551874,
        4.800252626159947,
        4.80027122176802,
        4.800289340565631,
        4.800307936173705,
        4.800326531781779,
        4.8003451273898525,
        4.8003637229979255,
        4.800381841795536,
        4.80040043740361,
        4.800419033011684,
        4.800437628619758,
        4.8004557474173675,
        4.800474343025441,
        4.800492938633515,
        4.800511534241589,
        4.800530129849663,
        4.800548248647273,
        4.800566844255346,
        4.80058543986342,
        4.800604035471494,
        4.800622154269104,
        4.800640749877178,
        4.8006593454852515,
        4.800677941093325,
        4.800696059890935,
        4.800714655499009,
        4.800733251107083,
        4.800751846715157,
        4.8007699655127665,
        4.80078856112084,
        4.800807156728914,
        4.800825275526525,
        4.800843871134599,
        4.800862466742672,
        4.800881062350745,
        4.800899181148356,
        4.80091777675643,
        4.800936372364504,
        4.800954491162114,
        4.800973086770187,
        4.800991682378261,
        4.801009801175871,
        4.801028396783945,
        4.801046992392019,
        4.801065111189629,
        4.801083706797703,
        4.801102302405776,
        4.801120421203387,
        4.801139016811461,
        4.8011576124195345,
        4.801175731217144,
        4.801194326825218,
        4.801212922433292,
        4.801231041230902,
        4.801249636838976,
        4.8012682324470495,
        4.80128635124466,
        4.801304946852734,
        4.801323542460807,
        4.801341661258418,
        4.8013602568664915,
        4.801378852474565,
        4.801396971272175,
        4.801415566880249,
        4.80143368567786,
        4.801452281285933,
        4.801470876894006,
        4.801488995691617,
        4.801507591299691,
        4.801525710097301,
        4.801544305705375,
        4.801562901313448,
        4.801581020111058,
        4.801599615719132,
        4.801617734516743,
        4.801636330124817,
        4.80165492573289,
        4.8016730445305,
        4.801691640138574,
        4.801709758936184,
        4.801728354544258,
        4.801746473341868,
        4.801765068949942,
        4.801783664558016,
        4.801801783355626,
        4.8018203789637,
        4.80183849776131,
        4.801857093369383,
        4.801875212166994,
        4.801893807775068,
        4.801911926572678,
        4.801930522180752,
        4.801948640978362,
        4.801967236586436,
        4.801985832194509,
        4.80200395099212,
        4.802095975411562,
        4.802114094209172,
        4.802132689817245,
        4.802150808614855,
        4.802169404222929,
        4.80218752302054,
        4.802206118628614,
        4.802224237426223,
        4.802242833034297,
        4.802260951831908,
        4.802279547439981,
        4.802297666237592,
        4.802315785035202,
        4.802334380643275,
        4.802352499440886,
        4.80237109504896,
        4.80238921384657,
        4.802407809454643,
        4.802425928252254,
        4.802444523860328,
        4.802462642657938,
        4.802481238266012,
        4.802499357063621,
        4.802517952671695,
        4.802536071469306,
        4.802554190266916,
        4.80257278587499,
        4.8025909046726,
        4.802609500280674,
        4.802627619078284,
        4.802645737875895,
        4.802664333483968,
        4.802682452281578,
        4.802701047889652,
        4.802719166687262,
        4.802737762295336,
        4.8027558810929465,
        4.802773999890556,
        4.80279259549863,
        4.802810714296241,
        4.802829309904315,
        4.8028474287019245,
        4.802865547499535,
        4.802884143107608,
        4.802902261905219,
        4.802920380702829,
        4.8029389763109025,
        4.802957095108513,
        4.802975690716587,
        4.802993809514197,
        4.803011928311808,
        4.803030523919881,
        4.803048642717491,
        4.803140190326469,
        4.80315830912408,
        4.80317642792169,
        4.803195023529764,
        4.803213142327374,
        4.803231261124984,
        4.803249856733058,
        4.803267975530669,
        4.8032860943282785,
        4.803304689936352,
        4.803322808733963,
        4.803340927531573,
        4.8033590463291835,
        4.803377641937257,
        4.803395760734867,
        4.803413879532478,
        4.803432475140551,
        4.8034505939381615,
        4.803468712735771,
        4.803487308343845,
        4.803505427141456,
        4.803523545939066,
        4.803541664736676,
        4.80356026034475,
        4.80357837914236,
        4.803596497939971,
        4.803614616737581,
        4.803633212345654,
        4.803651331143265,
        4.803669449940875,
        4.803687568738486,
        4.8037061643465595,
        4.803724283144169,
        4.80374240194178,
        4.80376052073939,
        4.803779116347464,
        4.803797235145074,
        4.803815353942684,
        4.803833472740295,
        4.803851591537905,
        4.803870187145979,
        4.803888305943588,
        4.803906424741199,
        4.803924543538809,
        4.803943139146883,
        4.8039612579444935,
        4.803979376742103,
        4.803997495539714,
        4.804015614337324,
        4.804034209945398,
        4.804052328743008,
        4.804070447540618,
        4.804088566338229,
        4.804106685135839,
        4.804124803933449,
        4.804143399541523,
        4.804161518339133,
        4.804179637136744,
        4.804197755934354,
        4.804215874731964,
        4.804233993529574,
        4.804252589137648,
        4.804270707935259,
        4.8042888267328685,
        4.804306945530479,
        4.804325064328089,
        4.8043431831257,
        4.80436130192331,
        4.804379897531383,
        4.804398016328994,
        4.804416135126604,
        4.804434253924215,
        4.8044523727218245,
        4.804470491519435,
        4.804488610317045,
        4.804506729114656,
        4.8045253247227295,
        4.804543443520339,
        4.80456156231795,
        4.80457968111556,
        4.804597799913171,
        4.80461591871078,
        4.804634037508391,
        4.804652156306001,
        4.804670275103612,
        4.8046883939012215,
        4.804706989509295,
        4.804725108306906,
        4.804743227104516,
        4.804761345902127,
        4.804779464699736,
        4.804797583497347,
        4.804815702294957,
        4.804833821092568,
        4.8048519398901774,
        4.804870058687788,
        4.804888177485398,
        4.804906296283009,
        4.8049244150806185,
        4.804942533878229,
        4.804960652675839,
        4.80497877147345,
        4.80499689027106,
        4.80501500906867,
        4.80503312786628,
        4.805051723474354,
        4.805069842271965,
        4.8050879610695745,
        4.805106079867185,
        4.805124198664795,
        4.805142317462406,
        4.8051604362600155,
        4.805178555057626,
        4.805196673855236,
        4.805214792652847,
        4.805232911450457,
        4.805251030248067,
        4.805269149045677,
        4.805287267843288,
        4.805305386640898,
        4.805323505438508,
        4.805341624236118,
        4.805359266223266,
        4.805377385020876,
        4.805395503818486,
        4.805413622616096,
        4.805431741413707,
        4.805449860211317,
        4.805467979008927,
        4.805486097806537,
        4.805504216604148,
        4.805522335401758,
        4.8055404541993685,
        4.805558572996978,
        4.805576691794589,
        4.805594810592199,
        4.8056129293898096,
        4.805703046567397,
        4.805721165365008,
        4.805739284162618,
        4.805757402960229,
        4.805775521757838,
        4.805793640555449,
        4.805811759353059,
        4.80582987815067,
        4.8058479969482795,
        4.80586611574589,
        4.805883757733037,
        4.805901876530647,
        4.805919995328257,
        4.805938114125867,
        4.805956232923478,
        4.805974351721088,
        4.8059924705186985,
        4.806010589316308,
        4.806028231303456,
        4.806046350101066,
        4.8060644688986764,
        4.806082587696286,
        4.806100706493897,
        4.806118825291507,
        4.8061369440891175,
        4.806154586076264,
        4.806172704873874,
        4.806190823671485,
        4.806208942469095,
        4.806227061266705,
        4.806245180064315,
        4.806262822051463,
        4.8062809408490725,
        4.806299059646683,
        4.806317178444293,
        4.8085770216357115,
        4.811053336777528,
        4.811074793248382,
        4.811096249719236,
        4.811117706190091,
        4.811139162660945,
        4.811160619131799,
        4.811267424675607,
        4.811288881146461,
        4.811310337617315,
        4.8113317940881695,
        4.811353250559024,
        4.811374707029878,
        4.811396163500732,
        4.811417619971587,
        4.811439076442441,
        4.811460532913295,
        4.811481989384149,
        4.811503445855004,
        4.811524902325858,
        4.811696077282229,
        4.811717533753083,
        4.811738990223938,
        4.811759969884329,
        4.811781426355183,
        4.811802882826037,
        4.811824339296892,
        4.811845795767746,
        4.81210231979707,
        4.813119833326026,
        4.814906918942956,
        4.81492837541381,
        4.8149493550742015,
        4.814970334734592,
        4.814991791205446,
        4.815012770865837,
        4.815033750526228,
        4.815055206997083,
        4.815076186657473,
        4.815097166317864,
        4.815118145978255,
        4.8151396024491095,
        4.8151605821095,
        4.815181561769891,
        4.815203018240745,
        4.815223997901136,
        4.815244977561527,
        4.815265957221918,
        4.815287413692772,
        4.815308393353163,
        4.815329373013554,
        4.815350352673945,
        4.815371809144799,
        4.81539278880519,
        4.8154137684655804,
        4.815434748125972,
        4.815456204596826,
        4.815477184257216,
        4.815498163917607,
        4.8155191435779985,
        4.815540123238389,
        4.815561579709243,
        4.815582559369634,
        4.815603539030025,
        4.815624518690416,
        4.815645498350807,
        4.815666954821661,
        4.815687934482052,
        4.8157089141424425,
        4.815729893802834,
        4.815750873463225,
        4.815771853123615,
        4.815793309594469,
        4.8158142892548605,
        4.815835268915252,
        4.815856248575642,
        4.815877228236033,
        4.815898207896423,
        4.815919664367278,
        4.815940644027669,
        4.81596162368806,
        4.81598260334845,
        4.8160035830088415,
        4.816024562669233,
        4.816045542329623,
        4.816066998800477,
        4.816087978460868,
        4.8161089581212595,
        4.81612993778165,
        4.816150917442041,
        4.816171897102432,
        4.816192876762822,
        4.8162138564232135,
        4.816234836083605,
        4.816255815743995,
        4.816277272214849,
        4.81629825187524,
        4.816319231535632,
        4.816340211196022,
        4.816361190856413,
        4.816382170516803,
        4.8164031501771944,
        4.816424129837586,
        4.816445109497976,
        4.816466089158367,
        4.816487068818758,
        4.8165080484791485,
        4.81652902813954,
        4.816550007799931,
        4.816570987460321,
        4.816591967120712,
        4.816612946781103,
        4.816633926441494,
        4.816654906101885,
        4.816675885762276,
        4.816696865422666,
        4.8167178450830574,
        4.816738824743448,
        4.816759804403839,
        4.81678078406423,
        4.81680176372462,
        4.8168227433850115,
        4.816843723045403,
        4.816864702705793,
        4.816885682366184,
        4.816906662026575,
        4.8169276416869655,
        4.816948621347357,
        4.816969601007748,
        4.816990580668138,
        4.817011560328529,
        4.8170325399889204,
        4.817053519649311,
        4.817074499309702,
        4.817095478970093,
        4.817116458630483,
        4.8171374382908745,
        4.817158417951265,
        4.817179397611656,
        4.817200377272047,
        4.817221356932437,
        4.817241859782365,
        4.817262839442756,
        4.817283819103147,
        4.817304798763538,
        4.817325778423928,
        4.8173467580843194,
        4.817367737744711,
        4.817388717405101,
        4.817409697065492,
        4.817430676725883,
        4.81745117957581,
        4.817472159236201,
        4.817493138896592,
        4.817514118556983,
        4.817535098217373,
        4.817556077877764,
        4.817577057538156,
        4.817598037198546,
        4.817618540048474,
        4.817639519708864,
        4.817660499369255,
        4.8176814790296465,
        4.817702458690037,
        4.817723438350428,
        4.817743941200355,
        4.817764920860746,
        4.817785900521137,
        4.817806880181528,
        4.817827859841919,
        4.817848839502309,
        4.817869342352237,
        4.8178903220126275,
        4.817911301673019,
        4.81793228133341,
        4.8179532609938,
        4.817973763843728,
        4.817994743504118,
        4.8180157231645095,
        4.818036702824901,
        4.818057205674828,
        4.818078185335219,
        4.818099164995609,
        4.8181201446560005,
        4.818141124316391,
        4.818161627166319,
        4.818182606826709,
        4.8182035864871,
        4.818224566147491,
        4.818245068997419,
        4.81826604865781,
        4.8182870283182,
        4.818307531168128,
        4.818328510828518,
        4.8183494904889095,
        4.818370470149301,
        4.818390972999228,
        4.818411952659618,
        4.818432932320009,
        4.818453435169936,
        4.818474414830328,
        4.818495394490719,
        4.818516374151109,
        4.818536877001037,
        4.818557856661427,
        4.8185788363218185,
        4.818599339171746,
        4.818620318832137,
        4.818641298492528,
        4.818661801342455,
        4.818682781002845,
        4.818703760663237,
        4.818724263513164,
        4.818745243173555,
        4.818766222833946,
        4.818786725683873,
        4.818807705344264,
        4.818828685004655,
        4.818849187854583,
        4.818870167514973,
        4.818891147175364,
        4.818911650025291,
        4.8189326296856825,
        4.81895313253561,
        4.818974112196001,
        4.818995091856391,
        4.819015594706319,
        4.819036574366709,
        4.8190570772166375,
        4.819078056877028,
        4.819099036537419,
        4.819119539387346,
        4.819140519047737,
        4.819161021897664,
        4.8191820015580555,
        4.819202981218446,
        4.819223484068374,
        4.819244463728764,
        4.819264966578692,
        4.8192859462390825,
        4.8193064490890105,
        4.819327428749401,
        4.819347931599329,
        4.819368911259719,
        4.81938989092011,
        4.819410393770037,
        4.819431373430429,
        4.819451876280356,
        4.819472855940747,
        4.819493358790674,
        4.819514338451065,
        4.819534841300992,
        4.819555820961384,
        4.819576323811311,
        4.819597303471702,
        4.819617806321629,
        4.81963878598202,
        4.819659288831947,
        4.819680268492338,
        4.819700771342266,
        4.819721751002656,
        4.819742253852584,
        4.819763233512974,
        4.819783736362902,
        4.819804716023293,
        4.819825218873221,
        4.819846198533611,
        4.819866701383539,
        4.819887681043929,
        4.8199081838938564,
        4.8199286867437845,
        4.819949666404175,
        4.819970169254103,
        4.819991148914493,
        4.820011651764421,
        4.820032631424811,
        4.8200531342747395,
        4.82007411393513,
        4.820094616785058,
        4.820115119634985,
        4.820136099295375,
        4.820156602145303,
        4.820177581805694,
        4.820198084655622,
        4.820218587505549,
        4.82023956716594,
        4.820260070015867,
        4.820281049676258,
        4.820301552526185,
        4.820322055376113,
        4.820343035036504,
        4.820363537886431,
        4.820384517546822,
        4.820405020396749,
        4.820425523246676,
        4.8204465029070676,
        4.820467005756995,
        4.820487508606923,
        4.820508488267313,
        4.820528991117241,
        4.820549493967168,
        4.8205704736275585,
        4.820590976477487,
        4.8209833914888875,
        4.821003894338816,
        4.821024397188743,
        4.821045376849134,
        4.821065879699061,
        4.821086382548988,
        4.821106885398916,
        4.821127865059307,
        4.821148367909235,
        4.821168870759162,
        4.821189373609089,
        4.821209876459016,
        4.821230856119407,
        4.821251358969334,
        4.8212718618192625,
        4.82129236466919,
        4.821313344329581,
        4.821333847179508,
        4.821354350029435,
        4.821374852879362,
        4.82139535572929,
        4.821416335389681,
        4.821436838239609,
        4.821457341089536,
        4.821477843939463,
        4.821498346789391,
        4.821519326449781,
        4.821539829299709,
        4.8215603321496365,
        4.821580834999564,
        4.821601337849491,
        4.821621840699419,
        4.821642343549346,
        4.821663323209737,
        4.821683826059664,
        4.8217043289095916,
        4.82172483175952,
        4.821745334609447,
        4.821765837459374,
        4.821786340309301,
        4.821807319969692,
        4.821827822819619,
        4.8218483256695475,
        4.821868828519475,
        4.821889331369402,
        4.82190983421933,
        4.8219923224295025,
        4.82201282527943,
        4.822033328129358,
        4.822053830979285,
        4.822074333829212,
        4.822094836679139,
        4.822115339529067,
        4.822135842378994,
        4.822156345228922,
        4.82217684807885,
        4.822197350928777,
        4.822217853778704,
        4.822238356628632,
        4.822258859478559,
        4.822279839138949,
        4.8223003419888775,
        4.822320844838805,
        4.822341347688732,
        4.82236185053866,
        4.822382353388587,
        4.822402856238514,
        4.822423359088442,
        4.822443861938369,
        4.8224643647882965,
        4.822484867638224,
        4.822505370488152,
        4.822525873338079,
        4.822546376188006,
        4.822566879037934,
        4.822587381887861,
        4.8226078847377885,
        4.822628387587716,
        4.822648890437644,
        4.822669393287571,
        4.822689896137498,
        4.822710398987426,
        4.822730901837353,
        4.82275140468728,
        4.822771907537208,
        4.822792410387136,
        4.8228124364266,
        4.822832939276527,
        4.822853442126454,
        4.822873944976382,
        4.822894447826309,
        4.822914950676236,
        4.8229354535261635,
        4.8229559563760915,
        4.822976459226019,
        4.822996962075946,
        4.823017464925874,
        4.823037967775801,
        4.823058470625728,
        4.823078973475656,
        4.8230989995151194,
        4.8231195023650475,
        4.823140005214975,
        4.823160508064902,
        4.82318101091483,
        4.823201513764757,
        4.823222016614684,
        4.823242519464612,
        4.823263022314539,
        4.8232830483540035,
        4.823303551203931,
        4.823324054053858,
        4.823344556903786,
        4.823365059753713,
        4.82338556260364,
        4.823406065453568,
        4.823426091493031,
        4.823446594342959,
        4.823467097192887,
        4.823487600042814,
        4.823508102892742,
        4.823528605742669,
        4.823548631782133,
        4.82356913463206,
        4.823589637481987,
        4.823610140331915,
        4.8236306431818425,
        4.82365114603177,
        4.823671172071234,
        4.823691674921162,
        4.823712177771089,
        4.823732680621016,
        4.823753183470943,
        4.823773209510407,
        4.823793712360335,
        4.8238142152102625,
        4.82383471806019,
        4.823854744099654,
        4.823875246949581,
        4.823895749799509,
        4.823916252649436,
        4.8239362786889,
        4.823956781538827,
        4.823977284388755,
        4.8239977872386826,
        4.824017813278147,
        4.824038316128074,
        4.824058818978001,
        4.824079321827929,
        4.824099347867393,
        4.82411985071732,
        4.824140353567247,
        4.824160856417175,
        4.824180882456639,
        4.824201385306567,
        4.824221888156494,
        4.824241914195958,
        4.824262417045885,
        4.824282919895813,
        4.82430342274574,
        4.824323448785204,
        4.824343951635131,
        4.824364454485059,
        4.824384480524523,
        4.824404983374451,
        4.824425486224378,
        4.824445512263842,
        4.824466015113769,
        4.824486517963696,
        4.82450654400316,
        4.824527046853088,
        4.8245475497030155,
        4.8245675757424795,
        4.824588078592407,
        4.824608581442334,
        4.824628607481798,
        4.824649110331726,
        4.82466913637119,
        4.824689639221117,
        4.824710142071044,
        4.824730168110508,
        4.8247506709604355,
        4.824771173810364,
        4.824791199849828,
        4.824811702699755,
        4.824831728739219,
        4.824852231589146,
        4.824872734439073,
        4.824892760478537,
        4.824913263328465,
        4.824933289367929,
        4.8249537922178565,
        4.824974295067784,
        4.824994321107248,
        4.825014823957175,
        4.825034849996639,
        4.825055352846567,
        4.825075378886031,
        4.825095881735958,
        4.825116384585885,
        4.825136410625349,
        4.8251569134752765,
        4.825176939514741,
        4.825197442364669,
        4.825217468404133,
        4.82523797125406,
        4.825257997293524,
        4.825278500143451,
        4.825298526182915,
        4.825319029032842,
        4.825339055072306,
        4.825359557922234,
        4.825379583961698,
        4.825400086811626,
        4.82542011285109,
        4.825440615701017,
        4.825460641740481,
        4.825481144590408,
        4.825501170629872,
        4.825663286187438,
        4.825683789037365,
        4.825703815076829,
        4.825724317926757,
        4.825744343966221,
        4.825764846816148,
        4.825784872855612,
        4.825804898895076,
        4.8258254017450035,
        4.825845427784468,
        4.825865930634395,
        4.825885956673859,
        4.825906459523787,
        4.82592648556325,
        4.825946511602714,
        4.825967014452642,
        4.825987040492106,
        4.826007543342033,
        4.826027569381497,
        4.826047595420961,
        4.826068098270889,
        4.826088124310353,
        4.82610862716028,
        4.826128653199744,
        4.826148679239208,
        4.826169182089136,
        4.826189208128599,
        4.826209234168063,
        4.826229737017991,
        4.826249763057455,
        4.826269789096919,
        4.8262902919468464,
        4.8263103179863105,
        4.826330820836238,
        4.826350846875702,
        4.826370872915166,
        4.826391375765093,
        4.826411401804557,
        4.826431427844021,
        4.826451930693948,
        4.826471956733412,
        4.826491982772876,
        4.826512485622804,
        4.826532511662268,
        4.8265525377017315,
        4.826572563741196,
        4.826593066591124,
        4.826613092630588,
        4.826633118670052,
        4.826653621519979,
        4.826673647559443,
        4.826693673598907,
        4.826713699638371,
        4.826734202488298,
        4.826754228527762,
        4.826774254567226,
        4.8267947574171535,
        4.8268147834566175,
        4.826834809496082,
        4.826854835535546,
        4.826875338385473,
        4.826895364424937,
        4.826915390464401,
        4.826935416503865,
        4.826955919353792,
        4.826975945393256,
        4.82699597143272,
        4.827015997472184,
        4.827036500322111,
        4.8270565263615755,
        4.8270765524010395,
        4.8270965784405035,
        4.827116604479968,
        4.827137107329895,
        4.827157133369359,
        4.827177159408823,
        4.827197185448287,
        4.827217211487751,
        4.827237714337679,
        4.827257740377142,
        4.827277766416606,
        4.82729779245607,
        4.827317818495534,
        4.827338321345462,
        4.8273583473849255,
        4.82737837342439,
        4.827398399463854,
        4.827418425503318,
        4.827438451542782,
        4.82745895439271,
        4.827478980432173,
        4.827499006471637,
        4.827519032511101,
        4.827539058550565,
        4.827559084590029,
        4.827579110629493,
        4.827599136668957,
        4.827619639518884,
        4.8276396655583484,
        4.8276596915978125,
        4.8276797176372765,
        4.827699743676741,
        4.827719769716205,
        4.827739795755669,
        4.827759821795133,
        4.82778032464506,
        4.827800350684524,
        4.827820376723988,
        4.827840402763452,
        4.827860428802916,
        4.82788045484238,
        4.827900480881844,
        4.827920506921308,
        4.827940532960772,
        4.827960559000236,
        4.8279805850397,
        4.8280006110791645,
        4.828020637118628,
        4.828040663158092,
        4.82806116600802,
        4.828081192047484,
        4.828101218086948,
        4.828121244126412,
        4.828141270165875,
        4.828161296205339,
        4.828181322244803,
        4.828201348284267,
        4.828221374323731,
        4.828241400363195,
        4.828261426402659,
        4.828281452442123,
        4.828301478481587,
        4.8283215045210515,
        4.8283415305605155,
        4.82836155659998,
        4.828381582639444,
        4.828401608678908,
        4.828421634718372,
        4.828441660757836,
        4.828461686797299,
        4.828481712836763,
        4.828501738876227,
        4.828521764915691,
        4.828541790955155,
        4.828561816994619,
        4.828581843034083,
        4.828601869073547,
        4.828621895113011,
        4.828641921152475,
        4.828661470381475,
        4.8286814964209395,
        4.8287015224604035,
        4.828721548499868,
        4.828741574539332,
        4.828761600578796,
        4.82878162661826,
        4.828801652657724,
        4.828821678697188,
        4.828841704736652,
        4.828861730776116,
        4.82888175681558,
        4.828901782855044,
        4.828921332084044,
        4.828941358123508,
        4.828961384162972,
        4.828981410202436,
        4.8290014362419,
        4.829021462281364,
        4.829041488320828,
        4.829061514360292,
        4.8290815403997565,
        4.8291010896287565,
        4.829320899252397,
        4.829340925291861,
        4.829360474520862,
        4.829380500560326,
        4.82940052659979,
        4.829420552639254,
        4.829440578678718,
        4.829460604718182,
        4.829480153947182,
        4.829500179986646,
        4.82952020602611,
        4.8295402320655745,
        4.8295602581050385,
        4.829579807334039,
        4.829599833373503,
        4.829619859412967,
        4.829639885452431,
        4.829659911491895,
        4.829679460720896,
        4.82969948676036,
        4.829719512799824,
        4.829739538839288,
        4.829759088068288,
        4.829779114107752,
        4.829799140147216,
        4.82981916618668,
        4.829838715415681,
        4.829858741455145,
        4.829878767494608,
        4.829898793534072,
        4.829918342763073,
        4.829938368802537,
        4.829958394842001,
        4.829977944071001,
        4.829997970110465,
        4.830017996149929,
        4.8300380221893935,
        4.830057571418394,
        4.8300775974578585,
        4.8300976234973225,
        4.830117172726323,
        4.830137198765787,
        4.830157224805251,
        4.830177250844715,
        4.830196800073716,
        4.83021682611318,
        4.830236852152644,
        4.830256401381644,
        4.830276427421108,
        4.830296453460572,
        4.830316002689573,
        4.830336028729037,
        4.8303560547685,
        4.830375603997501,
        4.830395630036965,
        4.830415656076429,
        4.830435205305429,
        4.830455231344893,
        4.830474780573894,
        4.830494806613358,
        4.830514832652822,
        4.830534381881822,
        4.830554407921286,
        4.83057443396075,
        4.830593983189751,
        4.830614009229215,
        4.830633558458215,
        4.8306535844976795,
        4.8306736105371435,
        4.830693159766144,
        4.8307131858056085,
        4.8307327350346085,
        4.830752761074073,
        4.830772787113537,
        4.830792336342538,
        4.830812362382002,
        4.830831911611002,
        4.830851937650466,
        4.83087196368993,
        4.830891512918931,
        4.830911538958395,
        4.830931088187395,
        4.830951114226859,
        4.83097066345586,
        4.830990689495324,
        4.831010238724324,
        4.831030264763788,
        4.831049813992789,
        4.831069840032253,
        4.831089866071717,
        4.831109415300717,
        4.831129441340181,
        4.831148990569182,
        4.831169016608646,
        4.831188565837646,
        4.83120859187711,
        4.831228141106111,
        4.831248167145575,
        4.831267716374575,
        4.831287742414039,
        4.83130729164304,
        4.831327317682504,
        4.831346866911504,
        4.831366892950968,
        4.831386442179969,
        4.831406468219433,
        4.831426017448434,
        4.831446043487897,
        4.831465592716898,
        4.831485618756362,
        4.831505167985363,
        4.831524717214363,
        4.831544743253827,
        4.831564292482828,
        4.831584318522292,
        4.8316038677512925,
        4.8316238937907565,
        4.8316434430197575,
        4.8316634690592215,
        4.8316830182882216,
        4.8317025675172225,
        4.8317225935566865,
        4.831742142785687,
        4.831762168825151,
        4.831781718054152,
        4.831801744093616,
        4.831821293322616,
        4.831840842551617,
        4.831860868591081,
        4.831880417820081,
        4.831900443859545,
        4.831919993088546,
        4.831939542317547,
        4.83195956835701,
        4.831979117586011,
        4.831998666815012,
        4.832018692854476,
        4.832038242083476,
        4.83205826812294,
        4.832077817351941,
        4.832097366580941,
        4.832117392620405,
        4.832136941849406,
        4.832156491078406,
        4.83217651711787,
        4.832196066346871,
        4.832215615575871,
        4.832235641615335,
        4.832255190844336,
        4.832274740073337,
        4.832294766112801,
        4.832314315341801,
        4.832333864570802,
        4.832353890610266,
        4.832373439839266,
        4.832392989068267,
        4.832413015107731,
        4.832432564336731,
        4.832452113565732,
        4.832472139605196,
        4.832491688834196,
        4.832511238063197,
        4.832530787292198,
        4.832550813331661,
        4.832570362560662,
        4.832589911789663,
        4.832609937829127,
        4.832629487058127,
        4.832649036287128,
        4.832668585516128,
        4.832688611555592,
        4.83296373119299,
        4.832983280421991,
        4.833002829650992,
        4.833022378879992,
        4.833042404919456,
        4.833061954148457,
        4.833081503377457,
        4.833101052606458,
        4.833120601835458,
        4.833140627874922,
        4.833160177103923,
        4.833179726332924,
        4.833199275561924,
        4.833218824790925,
        4.833238850830389,
        4.833258400059389,
        4.83327794928839,
        4.83329749851739,
        4.833317047746391,
        4.833336596975392,
        4.833356146204392,
        4.833376172243856,
        4.833395721472857,
        4.833415270701857,
        4.833434819930858,
        4.833454369159858,
        4.833473918388859,
        4.83349346761786,
        4.833513493657324,
        4.833533042886324,
        4.833552592115325,
        4.833572141344325,
        4.833591690573326,
        4.833611239802326,
        4.833630789031327,
        4.833650338260328,
        4.833669887489328,
        4.833689436718329,
        4.833709462757793,
        4.833729011986793,
        4.833748561215794,
        4.833768110444794,
        4.833787659673795,
        4.833807208902796,
        4.833826758131796,
        4.833846307360797,
        4.833865856589797,
        4.833885405818798,
        4.833904955047799,
        4.833924504276799,
        4.8339440535058,
        4.8339636027348,
        4.833983151963801,
        4.834002701192801,
        4.834022250421802,
        4.834042276461266,
        4.8340618256902665,
        4.834081374919267,
        4.8341009241482675,
        4.834120473377268,
        4.8341400226062685,
        4.834159571835269,
        4.8341791210642695,
        4.83419867029327,
        4.8342182195222705,
        4.834237768751271,
        4.8342573179802715,
        4.834276867209272,
        4.834296416438273,
        4.834315965667273,
        4.834335514896274,
        4.834355064125274,
        4.834374613354275,
        4.834394162583275,
        4.834413235001813,
        4.834432784230813,
        4.834452333459814,
        4.834471882688814,
        4.834491431917815,
        4.834510981146816,
        4.834530530375816,
        4.834550079604817,
        4.834569628833817,
        4.834589178062818,
        4.834608727291818,
        4.834628276520819,
        4.83464782574982,
        4.83466737497882,
        4.834686924207821,
        4.834706473436821,
        4.834726022665822,
        4.834745095084359,
        4.83476464431336,
        4.83478419354236,
        4.834803742771361,
        4.834823292000362,
        4.834842841229362,
        4.834862390458363,
        4.834881939687363,
        4.834901488916364,
        4.834920561334901,
        4.834940110563902,
        4.834959659792902,
        4.834979209021903,
        4.834998758250903,
        4.835018307479904,
        4.8350378567089045,
        4.835057405937905,
        4.8350764783564415,
        4.835096027585442,
        4.835115576814443,
        4.835135126043443,
        4.835154675272444,
        4.835174224501444,
        4.835193296919981,
        4.835212846148982,
        4.835232395377983,
        4.835251944606983,
        4.835271493835984,
        4.835291043064984,
        4.835310115483522,
        4.835329664712522,
        4.835349213941523,
        4.835368763170523,
        4.835388312399524,
        4.835407384818061,
        4.835426934047062,
        4.835446483276062,
        4.835466032505063,
        4.835485581734064,
        4.835504654152601,
        4.835524203381601,
        4.835543752610602,
        4.835563301839602,
        4.835582851068603,
        4.83560192348714,
        4.835621472716141,
        4.835641021945141,
        4.835660571174142,
        4.8356796435926785,
        4.8356991928216795,
        4.8357187420506795,
        4.8357382912796805,
        4.835757363698217,
        4.835776912927218,
        4.835796462156218,
        4.835815534574756,
        4.835835083803756,
        4.835854633032757,
        4.835874182261757,
        4.835893254680295,
        4.835912803909295,
        4.835932353138296,
        4.835951902367296,
        4.835970974785834,
        4.835990524014834,
        4.836010073243835,
        4.836029145662372,
        4.836048694891373,
        4.836068244120373,
        4.83608731653891,
        4.836106865767911,
        4.836126414996911,
        4.836145487415449,
        4.836165036644449,
        4.83618458587345,
        4.8362036582919865,
        4.836223207520987,
        4.8362427567499875,
        4.836261829168525,
        4.836281378397525,
        4.836300927626526,
        4.836610854427755,
        4.836629926846292,
        4.8366494760752925,
        4.836668548493829,
        4.8366880977228295,
        4.83670764695183,
        4.836726719370367,
        4.836746268599368,
        4.836765341017905,
        4.836784890246906,
        4.836803962665443,
        4.836823511894443,
        4.836843061123444,
        4.836862133541981,
        4.836881682770982,
        4.836900755189519,
        4.83692030441852,
        4.836939376837057,
        4.836958926066057,
        4.836977998484595,
        4.836997547713595,
        4.837016620132132,
        4.837036169361133,
        4.8370552417796695,
        4.83707479100867,
        4.837093863427207,
        4.837113412656208,
        4.837132485074745,
        4.837152034303745,
        4.837171106722283,
        4.837190655951283,
        4.837209728369821,
        4.837229277598821,
        4.837248350017358,
        4.837267899246359,
        4.837286971664896,
        4.837306520893897,
        4.837325593312434,
        4.837345142541435,
        4.837364214959972,
        4.837383764188972,
        4.8374028366075095,
        4.8374223858365095,
        4.8374414582550465,
        4.837461007484047,
        4.837480079902584,
        4.837499152321121,
        4.837518701550122,
        4.837537773968659,
        4.83755732319766,
        4.837576395616197,
        4.837595944845198,
        4.837615017263735,
        4.837634566492735,
        4.837653638911273,
        4.83767271132981,
        4.83769226055881,
        4.837711332977348,
        4.837730882206348,
        4.8377499546248846,
        4.837769027043422,
        4.837788576272422,
        4.83780764869096,
        4.83782719791996,
        4.837846270338497,
        4.837865342757035,
        4.837884891986035,
        4.837903964404572,
        4.83792303682311,
        4.83794258605211,
        4.837961658470647,
        4.837981207699648,
        4.838000280118185,
        4.838019352536722,
        4.838038901765723,
        4.8380579741842595,
        4.8380770466027965,
        4.838096595831797,
        4.838115668250334,
        4.838134740668871,
        4.838154289897872,
        4.838173362316409,
        4.838192434734947,
        4.838211983963947,
        4.838231056382484,
        4.838250128801022,
        4.838269678030022,
        4.838288750448559,
        4.838307822867097,
        4.838327372096097,
        4.838346444514634,
        4.838365516933171,
        4.838384589351708,
        4.838404138580708,
        4.838423210999246,
        4.838442283417783,
        4.838461832646783,
        4.838480905065321,
        4.838499977483858,
        4.838519049902395,
        4.838538599131396,
        4.838557671549933,
        4.83857674396847,
        4.838596293197471,
        4.838615365616008,
        4.8386344380345445,
        4.8386535104530815,
        4.838673059682082,
        4.838692132100619,
        4.838711204519156,
        4.838730276937694,
        4.838749826166694,
        4.838768898585231,
        4.838787971003769,
        4.838807043422306,
        4.838826115840843,
        4.838845665069844,
        4.838864737488381,
        4.838883809906918,
        4.8389028823254545,
        4.838921954743992,
        4.838941503972992,
        4.838960576391529,
        4.838979648810067,
        4.838998721228604,
        4.839017793647141,
        4.839037342876142,
        4.839056415294679,
        4.839075487713216,
        4.839094560131753,
        4.839113632550291,
        4.839133181779291,
        4.839152254197828,
        4.839171326616365,
        4.839190399034902,
        4.839209471453439,
        4.839228543871976,
        4.839248093100977,
        4.839267165519514,
        4.839286237938051,
        4.839305310356589,
        4.839324382775126,
        4.839343455193663,
        4.8393625276122,
        4.8393816000307375,
        4.8394011492597375,
        4.8394202216782745,
        4.839439294096812,
        4.839458366515349,
        4.839477438933886,
        4.839496511352423,
        4.83951558377096,
        4.839534656189498,
        4.839553728608035,
        4.839573277837035,
        4.839592350255573,
        4.83961142267411,
        4.8396304950926465,
        4.8396495675111835,
        4.839668639929721,
        4.839687712348258,
        4.839706784766795,
        4.839725857185332,
        4.83974492960387,
        4.839764002022407,
        4.839783074440944,
        4.839802623669945,
        4.839821696088482,
        4.839840768507019,
        4.8398598409255555,
        4.840717622949263,
        4.840736218557337,
        4.840755290975874,
        4.840774363394411,
        4.840793435812949,
        4.840812508231486,
        4.840831580650023,
        4.84085065306856,
        4.840869725487097,
        4.8408887979056345,
        4.840907393513708,
        4.840926465932245,
        4.840945538350782,
        4.840964610769319,
        4.840983683187856,
        4.841002755606394,
        4.841021828024931,
        4.841040423633005,
        4.841059496051542,
        4.841078568470079,
        4.8410976408886155,
        4.841116713307153,
        4.84113578572569,
        4.841154381333764,
        4.841173453752301,
        4.841192526170838,
        4.841211598589375,
        4.841230671007913,
        4.84124974342645,
        4.8412683390345235,
        4.84128741145306,
        4.841306483871597,
        4.841325556290134,
        4.841344628708672,
        4.841363224316746,
        4.841382296735283,
        4.84140136915382,
        4.841420441572357,
        4.841439513990894,
        4.8414581095989675,
        4.841477182017505,
        4.841496254436042,
        4.841515326854579,
        4.841533922462653,
        4.84155299488119,
        4.841572067299727,
        4.841591139718265,
        4.841609735326338,
        4.8416288077448755,
        4.841647880163412,
        4.841666952581949,
        4.841685548190023,
        4.84170462060856,
        4.841723693027097,
        4.841742765445635,
        4.841761361053709,
        4.841780433472246,
        4.841799505890783,
        4.8418185783093195,
        4.841837173917393,
        4.84185624633593,
        4.841875318754468,
        4.841893914362541,
        4.841912986781079,
        4.841932059199616,
        4.841951131618153,
        4.8419697272262265,
        4.8419887996447635,
        4.8420078720633,
        4.842026467671374,
        4.842045540089912,
        4.842064612508449,
        4.843290969020386,
        4.843310041438924,
        4.843328637046998,
        4.843347232655071,
        4.843366305073609,
        4.8433849006816825,
        4.843403973100219,
        4.843460236734904,
        4.843929895041381,
        4.843948967459918,
        4.8439675630679915,
        4.843986158676065,
        4.844005231094602,
        4.844023826702676,
        4.84404242231075,
        4.844061494729287,
        4.844080090337361,
        4.8440986859454345,
        4.844117758363971,
        4.844136353972045,
        4.844154949580119,
        4.844174021998656,
        4.84419261760673,
        4.844211213214804,
        4.844230285633341,
        4.844248881241414,
        4.844267476849488,
        4.844286549268025,
        4.844305144876099,
        4.844323740484173,
        4.84434281290271,
        4.844361408510784,
        4.844380004118857,
        4.844398599726931,
        4.844417672145468,
        4.844436267753542,
        4.844454863361616,
        4.844473935780153,
        4.8444925313882266,
        4.8445111269963,
        4.844529722604373,
        4.844548795022911,
        4.844567390630985,
        4.844585986239058,
        4.844604581847132,
        4.844623654265669,
        4.8446422498737425,
        4.844660845481816,
        4.84467944108989,
        4.844698513508427,
        4.844717109116501,
        4.844735704724575,
        4.8447543003326485,
        4.8447733727511855,
        4.844791968359259,
        4.844810563967333,
        4.844829159575407,
        4.844848231993944,
        4.844866827602018,
        4.8448854232100915,
        4.844904018818165,
        4.844922614426238,
        4.844941686844776,
        4.84496028245285,
        4.844978878060923,
        4.844997473668997,
        4.8450160692770705,
        4.8450351416956075,
        4.845053737303681,
        4.845072332911755,
        4.845090928519829,
        4.845109524127903,
        4.845128119735977,
        4.8451471921545135,
        4.845165787762587,
        4.845184383370661,
        4.845202978978735,
        4.845221574586808,
        4.845240170194882,
        4.845258765802956,
        4.8452778382214925,
        4.845296433829566,
        4.84531502943764,
        4.845333625045714,
        4.845352220653788,
        4.845370816261862,
        4.845389411869935,
        4.845408484288472,
        4.845427079896546,
        4.84544567550462,
        4.845464271112694,
        4.845482866720767,
        4.845501462328841,
        4.845520057936914,
        4.845538653544988,
        4.845557249153062,
        4.845575844761136,
        4.845594917179673,
        4.845613512787747,
        4.8456321083958205,
        4.845650704003894,
        4.845669299611967,
        4.845687895220041,
        4.845706490828115,
        4.845725086436189,
        4.8457436820442625,
        4.845762277652336,
        4.84578087326041,
        4.845799468868484,
        4.845818064476557,
        4.845836660084631,
        4.845855732503168,
        4.8458743281112415,
        4.845892923719315,
        4.845911519327389,
        4.845930114935463,
        4.845948710543537,
        4.845967306151611,
        4.8459859017596845,
        4.846004497367757,
        4.846023092975831,
        4.846041688583905,
        4.846060284191979,
        4.846078879800053,
        4.8460974754081265,
        4.8461160710162,
        4.846134666624274,
        4.846153262232347,
        4.846171857840421,
        4.846190453448495,
        4.846209049056569,
        4.846227644664642,
        4.846246240272716,
        4.84626483588079,
        4.846283431488864,
        4.846302027096937,
        4.846320622705011,
        4.8463392183130845,
        4.846357813921158,
        4.846376409529232,
        4.846395005137306,
        4.84641360074538,
        4.846432196353453,
        4.846450315151063,
        4.846468910759137,
        4.846487506367211,
        4.846506101975285,
        4.846524697583358,
        4.846543293191432,
        4.8465618887995054,
        4.846580484407579,
        4.846599080015653,
        4.846617675623727,
        4.846636271231801,
        4.846654866839875,
        4.8466734624479475,
        4.846692058056021,
        4.846710176853632,
        4.846728772461706,
        4.84674736806978,
        4.846765963677853,
        4.846784559285926,
        4.846803154894,
        4.846821750502074,
        4.846840346110148,
        4.846858941718222,
        4.846877060515832,
        4.846895656123905,
        4.846914251731979,
        4.846932847340053,
        4.846951442948127,
        4.846970038556201,
        4.8469886341642745,
        4.847007229772347,
        4.847025348569958,
        4.847043944178032,
        4.847062539786106,
        4.84708113539418,
        4.8470997310022526,
        4.847118326610326,
        4.847136445407937,
        4.847155041016011,
        4.847543641543704,
        4.847562237151778,
        4.847580832759852,
        4.847598951557463,
        4.8476175471655365,
        4.847636142773609,
        4.847654738381683,
        4.847672857179294,
        4.847691452787368,
        4.847710048395442,
        4.8477286440035146,
        4.847746762801125,
        4.847765358409199,
        4.847783954017273,
        4.847802549625347,
        4.847820668422957,
        4.84783926403103,
        4.847857859639104,
        4.847875978436714,
        4.847894574044788,
        4.847913169652862,
        4.8479317652609355,
        4.847949884058545,
        4.847968479666619,
        4.847987075274693,
        4.848005194072304,
        4.8480237896803775,
        4.84804238528845,
        4.848060504086061,
        4.848079099694135,
        4.848097695302209,
        4.848115814099819,
        4.8481344097078924,
        4.848153005315966,
        4.848171124113577,
        4.84818971972165,
        4.848208315329724,
        4.8482264341273344,
        4.848245029735408,
        4.848263625343482,
        4.848281744141092,
        4.848300339749166,
        4.84831893535724,
        4.848337054154849,
        4.848355649762923,
        4.848374245370997,
        4.848392364168608,
        4.848410959776681,
        4.848429078574291,
        4.848447674182365,
        4.848466269790439,
        4.848484388588049,
        4.848502984196123,
        4.848521102993733,
        4.848539698601806,
        4.84855829420988,
        4.848576413007491,
        4.848595008615565,
        4.8486131274131745,
        4.848631723021248,
        4.848650318629322,
        4.848668437426932,
        4.848687033035006,
        4.8487051518326165,
        4.84872374744069,
        4.848742343048764,
        4.848760461846374,
        4.848779057454448,
        4.848797176252058,
        4.8488157718601315,
        4.848833890657742,
        4.848852486265816,
        4.848870605063426,
        4.8488892006715,
        4.8489077962795735,
        4.848925915077184,
        4.848944510685257,
        4.848962629482868,
        4.848981225090942,
        4.8489993438885515,
        4.849017939496625,
        4.849036058294236,
        4.84905465390231,
        4.84907277269992,
        4.8490913683079935,
        4.849109487105603,
        4.849128082713677,
        4.849146201511288,
        4.849164797119362,
        4.8491829159169715,
        4.849201511525045,
        4.849219630322656,
        4.849238225930729,
        4.84925634472834,
        4.8492749403364135,
        4.849293059134023,
        4.849311654742097,
        4.849329773539708,
        4.849348369147782,
        4.8493664879453915,
        4.849385083553465,
        4.849403202351076,
        4.849421797959149,
        4.84943991675676,
        4.8494580355543695,
        4.849476631162443,
        4.849494749960054,
        4.849513345568128,
        4.849531464365738,
        4.8495500599738115,
        4.849568178771422,
        4.849586774379495,
        4.849604893177106,
        4.849623011974716,
        4.8496416075827895,
        4.8496597263804,
        4.849678321988474,
        4.849696440786084,
        4.849714559583695,
        4.849733155191768,
        4.849751273989378,
        4.849769869597452,
        4.849787988395063,
        4.849806107192673,
        4.849824702800746,
        4.849842821598356,
        4.84986141720643,
        4.849879536004041,
        4.849897654801651,
        4.849916250409724,
        4.849934369207335,
        4.849952964815409,
        4.849971083613019,
        4.8499892024106295,
        4.850007798018702,
        4.850025916816313,
        4.850044035613924,
        4.850062631221997,
        4.8500807500196075,
        4.850098868817217,
        4.850117464425291,
        4.850135583222902,
        4.850153702020512,
        4.8501722976285855,
        4.850190416426196,
        4.850208535223806,
        4.85022713083188,
        4.8502452496294906,
        4.8502633684271,
        4.850281964035174,
        4.850300082832784,
        4.850318201630395,
        4.8503367972384686,
        4.850354916036078,
        4.850373034833689,
        4.850391630441763,
        4.850409749239373,
        4.8504278680369834,
        4.850445986834593,
        4.850464582442667,
        4.850482701240278,
        4.850500820037888,
        4.8505194156459615,
        4.850537534443572,
        4.850555653241182,
        4.850573772038793,
        4.850592367646866,
        4.850610486444476,
        4.850628605242087,
        4.850646724039697,
        4.850665319647771,
        4.8506834384453805,
        4.850701557242991,
        4.850719676040601,
        4.853346901694092,
        4.8562659353512005,
        4.856287868632519,
        4.856309325103373,
        4.8563312583846905,
        4.856352714855545,
        4.856374171326399,
        4.856396104607716,
        4.856417561078571,
        4.856439494359889,
        4.856460950830743,
        4.8564824073015975,
        4.856504340582915,
        4.856525797053769,
        4.8565472535246235,
        4.856569186805942,
        4.856590643276796,
        4.856612576558113,
        4.856634033028968,
        4.856655489499822,
        4.856677422781139,
        4.856698879251994,
        4.856720335722848,
        4.856742269004166,
        4.85676372547502,
        4.856785181945875,
        4.856807115227192,
        4.856828571698046,
        4.856850028168901,
        4.856871961450218,
        4.856893417921072,
        4.856914874391927,
        4.856936807673245,
        4.856958264144099,
        4.856979720614953,
        4.857001653896271,
        4.857023110367125,
        4.857044566837979,
        4.857066023308834,
        4.857087956590151,
        4.857109413061005,
        4.85713086953186,
        4.857152802813178,
        4.857174259284032,
        4.857195715754886,
        4.857217172225741,
        4.857239105507058,
        4.857260561977912,
        4.857282018448767,
        4.857303474919621,
        4.857325408200939,
        4.857346864671793,
        4.857368321142648,
        4.857389777613502,
        4.857411710894819,
        4.857433167365674,
        4.857454623836528,
        4.857476080307382,
        4.8574980135887,
        4.857519470059554,
        4.857540926530408,
        4.857562383001262,
        4.857583839472117,
        4.857605772753435,
        4.857627229224289,
        4.8576486856951435,
        4.857670142165998,
        4.857691598636852,
        4.857713055107706,
        4.857734988389024,
        4.857756444859878,
        4.857777901330732,
        4.857799357801587,
        4.857820814272441,
        4.857842270743295,
        4.8578642040246125,
        4.857885660495467,
        4.857907116966321,
        4.857928573437175,
        4.8579500299080305,
        4.857971486378885,
        4.857992942849739,
        4.858014876131056,
        4.858036332601911,
        4.858057789072765,
        4.858444482358605,
        4.858465938829459,
        4.858487395300314,
        4.858508851771168,
        4.858530785052486,
        4.85855224152334,
        4.858573697994195,
        4.858595154465049,
        4.858616610935903,
        4.8586380674067575,
        4.858659523877612,
        4.858680980348466,
        4.85870243681932,
        4.858723893290175,
        4.858745349761029,
        4.858766806231883,
        4.8587882627027374,
        4.858809719173592,
        4.858831175644446,
        4.8588526321153,
        4.8588740885861545,
        4.858895545057009,
        4.858917001527863,
        4.858938457998717,
        4.858959437659108,
        4.858980894129962,
        4.859002350600816,
        4.8590238070716705,
        4.859045263542525,
        4.859066720013379,
        4.859088176484233,
        4.859109632955088,
        4.859131089425942,
        4.859152545896796,
        4.85917400236765,
        4.859195458838505,
        4.859216915309359,
        4.859238371780213,
        4.8592598282510675,
        4.859280807911459,
        4.859302264382313,
        4.859323720853167,
        4.8593451773240215,
        4.859366633794876,
        4.85938809026573,
        4.859409546736584,
        4.859431003207439,
        4.859452459678293,
        4.859473916149147,
        4.859494895809538,
        4.859516352280393,
        4.859537808751247,
        4.859559265222101,
        4.859580721692955,
        4.85960217816381,
        4.859623634634664,
        4.859644614295054,
        4.8596660707659085,
        4.859687527236763,
        4.859708983707617,
        4.859730440178471,
        4.859751896649326,
        4.859772876309717,
        4.859794332780571,
        4.859815789251425,
        4.85983724572228,
        4.859858702193134,
        4.859879681853525,
        4.859901138324379,
        4.859922594795234,
        4.859944051266088,
        4.859965507736942,
        4.859986487397332,
        4.860007943868187,
        4.860029400339041,
        4.860050856809895,
        4.8600723132807495,
        4.860093292941141,
        4.860114749411995,
        4.860136205882849,
        4.8601576623537035,
        4.860178642014095,
        4.860200098484949,
        4.860221554955803,
        4.8602430114266575,
        4.860263991087048,
        4.860285447557902,
        4.860306904028756,
        4.8603278836891475,
        4.860349340160002,
        4.860370796630856,
        4.86039225310171,
        4.8604132327621015,
        4.860434689232956,
        4.86045614570381,
        4.8604771253642,
        4.860498581835055,
        4.860520038305909,
        4.860541494776763,
        4.860562474437154,
        4.8605839309080086,
        4.860605387378863,
        4.860626367039254,
        4.860647823510108,
        4.8606692799809625,
        4.860690259641353,
        4.860711716112207,
        4.860733172583061,
        4.8607541522434525,
        4.860775608714307,
        4.860797065185161,
        4.860818044845552,
        4.8608395013164065,
        4.860860957787261,
        4.860881937447651,
        4.860903393918505,
        4.8609243735788965,
        4.860945830049751,
        4.860967286520605,
        4.860988266180996,
        4.8610097226518505,
        4.861030702312241,
        4.861052158783095,
        4.861073615253949,
        4.8610945949143405,
        4.861116051385195,
        4.861137031045586,
        4.86115848751644,
        4.8611799439872945,
        4.861200923647685,
        4.861222380118539,
        4.86124335977893,
        4.8612648162497845,
        4.861285795910176,
        4.86130725238103,
        4.861328708851884,
        4.8613496885122744,
        4.861371144983129,
        4.86139212464352,
        4.861413581114374,
        4.861434560774765,
        4.86145601724562,
        4.86147699690601,
        4.861498453376864,
        4.861519433037255,
        4.86154088950811,
        4.861561869168501,
        4.861583325639355,
        4.861604305299745,
        4.8616257617706,
        4.861646741430991,
        4.861668197901845,
        4.861689177562235,
        4.86171063403309,
        4.862071102743442,
        4.862092082403833,
        4.862113538874687,
        4.862134518535078,
        4.862155498195468,
        4.862176954666323,
        4.862197934326714,
        4.862219390797568,
        4.862240370457959,
        4.86226135011835,
        4.862282806589204,
        4.862303786249595,
        4.862325242720449,
        4.8623462223808405,
        4.862367202041231,
        4.862388658512085,
        4.862409638172476,
        4.862430617832867,
        4.862452074303722,
        4.862473053964112,
        4.862494510434966,
        4.862515490095357,
        4.862536469755748,
        4.862557926226602,
        4.862578905886993,
        4.862599885547384,
        4.8626213420182385,
        4.862642321678629,
        4.86266330133902,
        4.862684757809874,
        4.862705737470265,
        4.862726717130656,
        4.86274817360151,
        4.862769153261901,
        4.862790132922292,
        4.8628111125826825,
        4.862832569053537,
        4.862853548713928,
        4.862874528374319,
        4.862895984845173,
        4.862916964505564,
        4.862937944165955,
        4.862958923826346,
        4.8629803802972,
        4.8630013599575905,
        4.863022339617982,
        4.863043319278373,
        4.863064775749227,
        4.863085755409617,
        4.863106735070009,
        4.863127714730399,
        4.863149171201253,
        4.863170150861644,
        4.863191130522035,
        4.863212110182426,
        4.86323356665328,
        4.863254546313671,
        4.863275525974062,
        4.863296505634453,
        4.863317962105307,
        4.863338941765698,
        4.863359921426089,
        4.8633809010864795,
        4.863401880746871,
        4.863423337217725,
        4.863444316878116,
        4.863465296538506,
        4.8634862761988975,
        4.863507255859289,
        4.863528235519679,
        4.863549691990533,
        4.863570671650924,
        4.8635916513113155,
        4.863612630971706,
        4.863633610632097,
        4.863654590292487,
        4.8636760467633415,
        4.863697026423733,
        4.863718006084124,
        4.863738985744514,
        4.863759965404905,
        4.8637809450652965,
        4.863801924725687,
        4.863823381196541,
        4.863844360856932,
        4.863865340517323,
        4.863886320177714,
        4.863907299838105,
        4.863928279498496,
        4.863949259158886,
        4.863970238819277,
        4.8639912184796685,
        4.864012674950523,
        4.864033654610913,
        4.864054634271304,
        4.864075613931695,
        4.864096593592086,
        4.864117573252477,
        4.864138552912867,
        4.864159532573258,
        4.8641805122336494,
        4.86420149189404,
        4.864222471554431,
        4.864243451214822,
        4.864264430875212,
        4.8642854105356035,
        4.864306390195995,
        4.864327846666849,
        4.864348826327239,
        4.86436980598763,
        4.8643907856480215,
        4.864411765308412,
        4.864432744968803,
        4.864453724629194,
        4.864474704289584,
        4.864495683949976,
        4.864516663610366,
        4.864537643270757,
        4.864558622931148,
        4.864579602591538,
        4.86460058225193,
        4.864621561912321,
        4.864642541572711,
        4.864663521233102,
        4.864684500893493,
        4.864705480553884,
        4.864726460214275,
        4.864747439874666,
        4.864768419535056,
        4.864789399195447,
        4.864809902045375,
        4.864830881705766,
        4.864851861366157,
        4.864872841026547,
        4.864893820686938,
        4.864914800347329,
        4.86493578000772,
        4.864956759668111,
        4.864977739328501,
        4.864998718988892,
        4.8650196986492835,
        4.865040678309674,
        4.865061657970065,
        4.865082637630456,
        4.865103140480383,
        4.8651241201407744,
        4.865145099801165,
        4.865166079461556,
        4.865187059121947,
        4.865208038782337,
        4.8652290184427285,
        4.865249998103119,
        4.86527097776351,
        4.865291480613437,
        4.865312460273828,
        4.865333439934219,
        4.86535441959461,
        4.865668160879546,
        4.865688663729474,
        4.865709643389864,
        4.865730623050255,
        4.865751602710646,
        4.8657725823710365,
        4.8657930852209645,
        4.865814064881355,
        4.865835044541746,
        4.865856024202136,
        4.865877003862527,
        4.865897506712455,
        4.865918486372846,
        4.865939466033237,
        4.865960445693627,
        4.865980948543555,
        4.8660019282039455,
        4.866022907864337,
        4.866043887524728,
        4.866064390374655,
        4.866085370035046,
        4.866106349695436,
        4.866127329355828,
        4.866147832205755,
        4.866168811866146,
        4.866189791526536,
        4.866210294376464,
        4.8662312740368545,
        4.866252253697246,
        4.866273233357637,
        4.866293736207564,
        4.866314715867955,
        4.866335695528345,
        4.8663561983782735,
        4.866377178038664,
        4.866398157699055,
        4.866418660548982,
        4.866439640209373,
        4.8664606198697635,
        4.866481122719692,
        4.866502102380082,
        4.866523082040473,
        4.8665435848904,
        4.866564564550791,
        4.8665855442111825,
        4.86660604706111,
        4.866627026721501,
        4.866648006381891,
        4.866668509231819,
        4.866689488892209,
        4.866710468552601,
        4.866730971402528,
        4.866751951062919,
        4.866772453912846,
        4.866793433573237,
        4.8668144132336275,
        4.866834916083556,
        4.866855895743946,
        4.866876398593874,
        4.866897378254264,
        4.866918357914655,
        4.8669388607645825,
        4.866959840424974,
        4.866980343274901,
        4.867001322935292,
        4.867022302595682,
        4.86704280544561,
        4.867063785106001,
        4.867084287955929,
        4.867105267616319,
        4.867125770466247,
        4.867146750126637,
        4.867167729787028,
        4.8671882326369555,
        4.867209212297347,
        4.867229715147274,
        4.867250694807665,
        4.867271197657592,
        4.867292177317983,
        4.8673126801679105,
        4.867333659828302,
        4.867354162678229,
        4.86737514233862,
        4.867395645188547,
        4.867416624848938,
        4.8674371276988655,
        4.867458107359256,
        4.867478610209184,
        4.867499589869574,
        4.867520092719502,
        4.867541072379892,
        4.8675615752298205,
        4.867582554890211,
        4.867603057740139,
        4.867624037400529,
        4.867644540250457,
        4.867665519910847,
        4.8676860227607746,
        4.867707002421166,
        4.867727505271093,
        4.867748484931484,
        4.867768987781411,
        4.867789490631339,
        4.8678104702917295,
        4.867830973141658,
        4.867851952802048,
        4.867872455651976,
        4.867893435312366,
        4.867913938162293,
        4.867934441012221,
        4.867955420672612,
        4.86797592352254,
        4.86799690318293,
        4.868017406032858,
        4.868037908882785,
        4.868058888543176,
        4.8680793913931035,
        4.868100371053495,
        4.868120873903422,
        4.868141376753349,
        4.86816235641374,
        4.868182859263667,
        4.8682038389240585,
        4.868224341773986,
        4.868244844623913,
        4.868265824284304,
        4.868286327134231,
        4.868306829984159,
        4.8683278096445495,
        4.868348312494477,
        4.868368815344405,
        4.868389795004795,
        4.868410297854723,
        4.86843080070465,
        4.868451780365041,
        4.8684722832149685,
        4.868492786064896,
        4.868513765725287,
        4.868534268575214,
        4.868554771425141,
        4.868575751085532,
        4.8685962539354595,
        4.8686167567853875,
        4.868637736445778,
        4.868658239295706,
        4.868678742145633,
        4.868699721806024,
        4.868720224655951,
        4.8687407275058785,
        4.868761230355806,
        4.868782210016197,
        4.868802712866124,
        4.868823215716052,
        4.868843718565979,
        4.86886469822637,
        4.8688852010762975,
        4.868905703926225,
        4.868926206776153,
        4.868947186436543,
        4.86896768928647,
        4.868988192136398,
        4.869008694986325,
        4.869318144977091,
        4.869338647827018,
        4.869359150676945,
        4.869379653526873,
        4.8694001563768,
        4.869420659226727,
        4.8694416388871185,
        4.869462141737046,
        4.869482644586974,
        4.869503147436901,
        4.869523650286828,
        4.869544153136755,
        4.869564655986683,
        4.8695856356470735,
        4.8696061384970015,
        4.869626641346929,
        4.869647144196856,
        4.869667647046784,
        4.869688149896711,
        4.869708652746638,
        4.869729632407029,
        4.8697501352569565,
        4.869770638106884,
        4.869791140956812,
        4.869811643806739,
        4.869832146656666,
        4.869852649506594,
        4.869873152356521,
        4.8698936552064485,
        4.869914158056376,
        4.869934660906304,
        4.869955640566694,
        4.869976143416622,
        4.869996646266549,
        4.870017149116476,
        4.870037651966404,
        4.8700581548163315,
        4.870078657666259,
        4.870099160516186,
        4.870119663366114,
        4.870140166216041,
        4.870160669065968,
        4.870181171915896,
        4.870201674765823,
        4.870222177615751,
        4.870242680465678,
        4.870263183315606,
        4.870283686165533,
        4.87030418901546,
        4.870324691865388,
        4.870345194715315,
        4.8703656975652425,
        4.870386200415171,
        4.870406703265098,
        4.870427206115025,
        4.870447708964952,
        4.87046821181488,
        4.870488714664807,
        4.870509217514734,
        4.8705297203646625,
        4.87055022321459,
        4.870570726064517,
        4.870591228914444,
        4.870611731764372,
        4.870632234614299,
        4.870652737464226,
        4.870673240314154,
        4.8706937431640815,
        4.870714246014009,
        4.870734748863936,
        4.870755251713864,
        4.870775754563791,
        4.870796257413718,
        4.870816283453182,
        4.87083678630311,
        4.8708572891530375,
        4.870877792002965,
        4.870898294852892,
        4.87091879770282,
        4.870939300552747,
        4.870959803402674,
        4.870980306252602,
        4.871000809102529,
        4.871021311952457,
        4.871041337991921,
        4.871061840841848,
        4.871082343691776,
        4.871102846541703,
        4.87112334939163,
        4.871143852241558,
        4.871164355091485,
        4.8711848579414125,
        4.871204883980877,
        4.871225386830804,
        4.871245889680732,
        4.871266392530659,
        4.871286895380586,
        4.871307398230514,
        4.871327901080441,
        4.871347927119905,
        4.8713684299698325,
        4.87138893281976,
        4.871409435669688,
        4.871429938519615,
        4.871449964559079,
        4.871470467409006,
        4.871490970258934,
        4.871511473108861,
        4.8715319759587885,
        4.871552478808716,
        4.87157250484818,
        4.871593007698108,
        4.871613510548035,
        4.871634013397962,
        4.871654039437426,
        4.871674542287353,
        4.871695045137281,
        4.8717155479872085,
        4.871736050837136,
        4.8717560768766,
        4.871776579726528,
        4.871797082576455,
        4.871817585426382,
        4.871837611465846,
        4.871858114315773,
        4.871878617165701,
        4.8718991200156285,
        4.871919146055093,
        4.87193964890502,
        4.871960151754948,
        4.871980654604875,
        4.872000680644339,
        4.872021183494266,
        4.872041686344193,
        4.872061712383657,
        4.872082215233585,
        4.872102718083513,
        4.87212322093344,
        4.872143246972904,
        4.872163749822831,
        4.872184252672759,
        4.872204278712223,
        4.87222478156215,
        4.872245284412077,
        4.872265310451541,
        4.872285813301469,
        4.872306316151397,
        4.872326342190861,
        4.872346845040788,
        4.872367347890715,
        4.872387373930179,
        4.872407876780106,
        4.872428379630034,
        4.872448405669498,
        4.8724689085194255,
        4.872489411369353,
        4.872509437408817,
        4.872529940258745,
        4.872550443108672,
        4.872570469148136,
        4.872590971998063,
        4.872610998037527,
        4.872631500887454,
        4.872652003737382,
        4.8726720297768455,
        4.872936182773586,
        4.872956208813049,
        4.872976711662977,
        4.872997214512904,
        4.873017240552368,
        4.873037743402295,
        4.873057769441759,
        4.8730782722916866,
        4.873098298331151,
        4.873118801181079,
        4.873138827220543,
        4.87315933007047,
        4.873179356109934,
        4.873199858959861,
        4.873219884999325,
        4.873240387849252,
        4.873260413888716,
        4.873280916738644,
        4.873300942778108,
        4.873321445628036,
        4.8733414716675,
        4.873361974517427,
        4.873382000556891,
        4.873402503406818,
        4.873422529446282,
        4.87344303229621,
        4.873463058335674,
        4.873483561185601,
        4.873503587225065,
        4.8735240900749925,
        4.873544116114457,
        4.873564618964384,
        4.873584645003848,
        4.873605147853775,
        4.873625173893239,
        4.873645199932703,
        4.873665702782631,
        4.873685728822095,
        4.873706231672022,
        4.873726257711486,
        4.8737467605614135,
        4.873766786600878,
        4.873786812640342,
        4.873807315490269,
        4.873827341529733,
        4.873847844379661,
        4.873867870419124,
        4.873887896458588,
        4.873908399308516,
        4.87392842534798,
        4.873948928197907,
        4.873968954237371,
        4.8739889802768355,
        4.874009483126763,
        4.874029509166227,
        4.874050012016154,
        4.874070038055618,
        4.874090064095082,
        4.874110566945009,
        4.874130592984473,
        4.874150619023937,
        4.874171121873865,
        4.874191147913329,
        4.874211173952793,
        4.8742316768027205,
        4.874251702842185,
        4.874271728881649,
        4.874292231731576,
        4.87431225777104,
        4.874332283810504,
        4.874352786660431,
        4.874372812699895,
        4.874392838739359,
        4.874413341589286,
        4.87443336762875,
        4.874453393668214,
        4.874473896518142,
        4.874493922557606,
        4.87451394859707,
        4.874534451446998,
        4.874554477486462,
        4.874574503525926,
        4.874594529565389,
        4.874615032415317,
        4.874635058454781,
        4.874655084494245,
        4.874675110533709,
        4.874695613383636,
        4.8747156394231,
        4.874735665462564,
        4.874756168312492,
        4.874776194351956,
        4.87479622039142,
        4.874816246430884,
        4.874836749280811,
        4.874856775320275,
        4.874876801359739,
        4.874896827399203,
        4.874916853438667,
        4.874937356288594,
        4.874957382328058,
        4.874977408367522,
        4.874997434406986,
        4.875017937256914,
        4.875037963296378,
        4.875057989335842,
        4.875078015375306,
        4.87509804141477,
        4.875118544264697,
        4.875138570304161,
        4.875158596343625,
        4.875178622383089,
        4.875198648422553,
        4.875218674462017,
        4.875239177311944,
        4.875259203351408,
        4.875279229390872,
        4.8752992554303365,
        4.8753192814698005,
        4.875339307509265,
        4.875359810359192,
        4.875379836398656,
        4.87539986243812,
        4.875419888477584,
        4.875439914517048,
        4.875459940556512,
        4.875479966595976,
        4.875500469445903,
        4.875520495485367,
        4.875540521524831,
        4.875560547564295,
        4.875580573603759,
        4.8756005996432235,
        4.8756206256826875,
        4.8756406517221516,
        4.875660677761616,
        4.875681180611543,
        4.875701206651007,
        4.875721232690471,
        4.875741258729935,
        4.875761284769399,
        4.875781310808863,
        4.875801336848327,
        4.875821362887791,
        4.875841388927254,
        4.875861414966718,
        4.875881441006182,
        4.875901467045646,
        4.8759214930851105,
        4.8759415191245745,
        4.875962021974502,
        4.875982048013966,
        4.87600207405343,
        4.876022100092894,
        4.876042126132358,
        4.876062152171822,
        4.876082178211286,
        4.87610220425075,
        4.876122230290214,
        4.876142256329678,
        4.876162282369142,
        4.876182308408606,
        4.87620233444807,
        4.876222360487534,
        4.876242386526998,
        4.876262412566462,
        4.876282438605926,
        4.87630246464539,
        4.876322490684854,
        4.876562326347958,
        4.876582352387422,
        4.876602378426886,
        4.87662240446635,
        4.8766424305058145,
        4.8766624565452785,
        4.876682482584743,
        4.876702508624207,
        4.876722534663671,
        4.876742560703135,
        4.876762586742599,
        4.876782612782063,
        4.876802162011063,
        4.876822188050527,
        4.876842214089991,
        4.876862240129455,
        4.876882266168919,
        4.876902292208383,
        4.876922318247847,
        4.876942344287311,
        4.876962370326775,
        4.876981919555775,
        4.877001945595239,
        4.877021971634703,
        4.8770419976741675,
        4.8770620237136315,
        4.877082049753096,
        4.87710207579256,
        4.877122101832024,
        4.877141651061024,
        4.877161677100488,
        4.877181703139952,
        4.877201729179416,
        4.87722175521888,
        4.877241781258344,
        4.877261330487345,
        4.877281356526809,
        4.877301382566272,
        4.877321408605736,
        4.8773414346452,
        4.877360983874201,
        4.877381009913665,
        4.877401035953129,
        4.877421061992593,
        4.877441088032057,
        4.877460637261057,
        4.877480663300521,
        4.8775006893399855,
        4.8775207153794495,
        4.877540741418914,
        4.8775602906479145,
        4.877580316687379,
        4.877600342726842,
        4.877620368766306,
        4.877639917995307,
        4.877659944034771,
        4.877679970074235,
        4.877699996113699,
        4.877719545342699,
        4.877739571382163,
        4.877759597421627,
        4.877779623461091,
        4.877799172690092,
        4.877819198729556,
        4.87783922476902,
        4.877859250808484,
        4.877878800037484,
        4.877898826076948,
        4.877918852116412,
        4.877938401345413,
        4.877958427384877,
        4.87797845342434,
        4.8779984794638045,
        4.878018028692805,
        4.8780380547322695,
        4.8780580807717335,
        4.878077630000734,
        4.878097656040198,
        4.878117682079662,
        4.878137231308663,
        4.878157257348127,
        4.878177283387591,
        4.878196832616591,
        4.878216858656055,
        4.878236884695519,
        4.87825643392452,
        4.878276459963984,
        4.878296486003448,
        4.878316035232448,
        4.878336061271912,
        4.878356087311376,
        4.878375636540377,
        4.878395662579841,
        4.878415688619305,
        4.878435237848305,
        4.878455263887769,
        4.87847481311677,
        4.878494839156234,
        4.878514865195698,
        4.878534414424698,
        4.878554440464162,
        4.878573989693163,
        4.878594015732627,
        4.878614041772091,
        4.878633591001091,
        4.8786536170405554,
        4.878673166269556,
        4.87869319230902,
        4.8787132183484845,
        4.8787327675774845,
        4.878752793616949,
        4.8787723428459495,
        4.878792368885414,
        4.878811918114414,
        4.878831944153878,
        4.878851970193342,
        4.878871519422343,
        4.878891545461807,
        4.878911094690807,
        4.878931120730271,
        4.878950669959272,
        4.878970695998736,
        4.878990245227736,
        4.8790102712672,
        4.879029820496201,
        4.879049846535665,
        4.879069395764665,
        4.879089421804129,
        4.879109447843593,
        4.879128997072594,
        4.879149023112058,
        4.879168572341058,
        4.879188598380522,
        4.879208147609523,
        4.879228173648987,
        4.879247722877987,
        4.879267748917451,
        4.879287298146452,
        4.879306847375452,
        4.879326873414916,
        4.879346422643917,
        4.879366448683381,
        4.879385997912381,
        4.879406023951845,
        4.879425573180846,
        4.87944559922031,
        4.87946514844931,
        4.879485174488774,
        4.879504723717775,
        4.879524749757239,
        4.879544298986239,
        4.87956384821524,
        4.879583874254704,
        4.879603423483705,
        4.8796234495231685,
        4.8796429987521694,
        4.8796630247916335,
        4.879682574020634,
        4.8797021232496345,
        4.8797221492890985,
        4.8797416985180995,
        4.8797617245575635,
        4.879781273786564,
        4.8798008230155645,
        4.8798208490550286,
        4.879840398284029,
        4.879860424323493,
        4.879879973552494,
        4.879899522781494,
        4.879919548820958,
        4.879939098049959,
        4.879958647278959,
        4.880195622079283,
        4.880215171308284,
        4.880234720537284,
        4.880254746576748,
        4.880274295805749,
        4.88029384503475,
        4.88031339426375,
        4.880333420303214,
        4.880352969532215,
        4.880372518761215,
        4.880392544800679,
        4.88041209402968,
        4.88043164325868,
        4.880451669298144,
        4.880471218527145,
        4.880490767756145,
        4.880510316985146,
        4.88053034302461,
        4.88054989225361,
        4.880569441482611,
        4.880588990711612,
        4.880609016751076,
        4.880628565980076,
        4.880648115209077,
        4.880667664438077,
        4.880687690477541,
        4.880707239706542,
        4.880726788935542,
        4.880746338164543,
        4.880766364204007,
        4.880785913433008,
        4.880805462662008,
        4.880825011891009,
        4.880845037930473,
        4.880864587159473,
        4.880884136388474,
        4.880903685617474,
        4.880923234846475,
        4.880943260885939,
        4.880962810114939,
        4.88098235934394,
        4.881001908572941,
        4.881021457801941,
        4.881041483841405,
        4.881061033070406,
        4.881080582299406,
        4.881100131528407,
        4.881119680757407,
        4.881139229986408,
        4.881159256025872,
        4.881178805254873,
        4.881198354483873,
        4.881217903712874,
        4.881237452941874,
        4.881257002170875,
        4.881277028210339,
        4.881296577439339,
        4.88131612666834,
        4.881335675897341,
        4.881355225126341,
        4.881374774355342,
        4.881394323584342,
        4.881413872813343,
        4.881433898852807,
        4.881453448081807,
        4.881472997310808,
        4.881492546539809,
        4.881512095768809,
        4.88153164499781,
        4.88155119422681,
        4.881570743455811,
        4.881590292684812,
        4.881610318724275,
        4.881629867953276,
        4.881649417182277,
        4.881668966411277,
        4.881688515640278,
        4.881708064869278,
        4.881727614098279,
        4.8817471633272795,
        4.88176671255628,
        4.8817862617852805,
        4.881805811014281,
        4.8818253602432815,
        4.881844909472282,
        4.8818644587012825,
        4.881884007930283,
        4.8819035571592835,
        4.881923106388284,
        4.8819431324277485,
        4.8819626816567485,
        4.8819822308857495,
        4.8820017801147495,
        4.88202132934375,
        4.882040878572751,
        4.882060427801751,
        4.882079977030752,
        4.882099526259752,
        4.882119075488753,
        4.882138624717754,
        4.882158173946754,
        4.882177723175755,
        4.882197272404755,
        4.882216821633756,
        4.882236370862756,
        4.882255920091757,
        4.882275469320758,
        4.882295018549758,
        4.882314567778759,
        4.882333640197296,
        4.882353189426297,
        4.882372738655297,
        4.882392287884298,
        4.882411837113298,
        4.882431386342299,
        4.882450935571299,
        4.8824704848003,
        4.882490034029301,
        4.882509583258301,
        4.882529132487302,
        4.882548681716302,
        4.882568230945303,
        4.882587780174304,
        4.882607329403304,
        4.882626878632305,
        4.882645951050842,
        4.882665500279843,
        4.882685049508843,
        4.882704598737844,
        4.882724147966844,
        4.882743697195845,
        4.882763246424845,
        4.882782795653846,
        4.882802344882847,
        4.882821894111847,
        4.882840966530384,
        4.8828605157593845,
        4.8828800649883854,
        4.8828996142173855,
        4.882919163446386,
        4.8829387126753865,
        4.882958261904387,
        4.8829778111333875,
        4.882996883551925,
        4.883016432780925,
        4.883035982009926,
        4.883055531238926,
        4.883075080467927,
        4.883094629696928,
        4.883113702115465,
        4.883133251344465,
        4.883152800573466,
        4.883172349802467,
        4.883191899031467,
        4.883211448260468,
        4.883230520679005,
        4.883250069908006,
        4.883269619137006,
        4.883289168366007,
        4.883308717595007,
        4.883327790013545,
        4.883347339242545,
        4.883366888471546,
        4.883386437700546,
        4.883405986929547,
        4.883425059348084,
        4.883444608577085,
        4.883464157806085,
        4.883483707035086,
        4.8835027794536225,
        4.8835223286826235,
        4.8835418779116235,
        4.8835614271406245,
        4.883580499559161,
        4.883600048788162,
        4.883619598017162,
        4.883794587457241,
        4.883813659875778,
        4.883833209104778,
        4.883852758333779,
        4.883871830752316,
        4.883891379981317,
        4.883910929210317,
        4.883930001628855,
        4.883949550857855,
        4.883969100086856,
        4.883988649315856,
        4.884007721734394,
        4.884027270963394,
        4.8840468201923946,
        4.8840658926109315,
        4.884085441839932,
        4.8841049910689325,
        4.884124063487469,
        4.88414361271647,
        4.884163161945471,
        4.884182234364008,
        4.884201783593008,
        4.884221332822009,
        4.884240405240546,
        4.884259954469547,
        4.884279026888084,
        4.884298576117085,
        4.884318125346085,
        4.884337197764622,
        4.884356746993623,
        4.884376296222624,
        4.884395368641161,
        4.884414917870161,
        4.884433990288699,
        4.884453539517699,
        4.8844730887467,
        4.8844921611652365,
        4.8845117103942375,
        4.884530782812774,
        4.8845503320417745,
        4.884569881270775,
        4.884588953689312,
        4.884608502918313,
        4.88462757533685,
        4.884647124565851,
        4.884666673794851,
        4.884685746213388,
        4.884705295442389,
        4.884724367860926,
        4.884743917089927,
        4.884762989508464,
        4.884782538737465,
        4.884801611156002,
        4.884821160385002,
        4.884840709614003,
        4.88485978203254,
        4.884879331261541,
        4.8848984036800775,
        4.8849179529090785,
        4.884937025327615,
        4.8849565745566155,
        4.884975646975153,
        4.884995196204153,
        4.88501426862269,
        4.885033817851691,
        4.885052890270228,
        4.885072439499229,
        4.885091511917766,
        4.885111061146767,
        4.885130133565304,
        4.885149682794304,
        4.885168755212842,
        4.885188304441842,
        4.885207376860379,
        4.88522692608938,
        4.885245998507917,
        4.885265547736918,
        4.8852846201554545,
        4.885304169384455,
        4.885323241802992,
        4.885342791031992,
        4.88536186345053,
        4.885380935869067,
        4.885400485098068,
        4.885419557516605,
        4.885439106745605,
        4.885458179164143,
        4.885477728393143,
        4.88549680081168,
        4.885515873230218,
        4.885535422459218,
        4.885554494877755,
        4.885574044106756,
        4.885593116525293,
        4.8856126657542935,
        4.8856317381728305,
        4.885650810591367,
        4.885670359820368,
        4.885689432238905,
        4.885708981467906,
        4.885728053886443,
        4.88574712630498,
        4.885766675533981,
        4.885785747952518,
        4.885805297181518,
        4.885824369600056,
        4.885843442018593,
        4.885862991247593,
        4.885882063666131,
        4.885901136084668,
        4.8859206853136685,
        4.8859397577322055,
        4.885958830150742,
        4.886209155644043,
        4.8862282280625795,
        4.886247300481116,
        4.886266849710117,
        4.886285922128654,
        4.886304994547191,
        4.886324543776192,
        4.886343616194729,
        4.886362688613266,
        4.886381761031803,
        4.886401310260804,
        4.886420382679341,
        4.886439455097878,
        4.886459004326879,
        4.886478076745416,
        4.886497149163953,
        4.88651622158249,
        4.8865357708114905,
        4.886554843230028,
        4.886573915648565,
        4.886592988067102,
        4.886612537296103,
        4.88663160971464,
        4.886650682133177,
        4.886669754551714,
        4.886689303780715,
        4.886708376199252,
        4.886727448617789,
        4.886746521036326,
        4.8867655934548635,
        4.8867851426838635,
        4.886804215102401,
        4.886823287520938,
        4.886842359939475,
        4.886861432358012,
        4.886880981587013,
        4.88690005400555,
        4.886919126424087,
        4.886938198842624,
        4.886957271261162,
        4.886976820490162,
        4.8869958929087,
        4.887014965327237,
        4.8870340377457735,
        4.88705311016431,
        4.887072182582847,
        4.887091731811848,
        4.887110804230385,
        4.887129876648922,
        4.88714894906746,
        4.887168021485997,
        4.887187093904534,
        4.887206643133535,
        4.887225715552072,
        4.887244787970609,
        4.887263860389146,
        4.8872829328076834,
        4.887416916547907,
        4.887435988966444,
        4.887455061384981,
        4.887474133803518,
        4.887493206222055,
        4.8875122786405925,
        4.887531351059129,
        4.887550900288129,
        4.887569972706667,
        4.887589045125204,
        4.887608117543741,
        4.887627189962278,
        4.887646262380816,
        4.887665334799353,
        4.88768440721789,
        4.887703479636427,
        4.8877225520549645,
        4.8877416244735015,
        4.887760696892038,
        4.887779769310575,
        4.887798841729112,
        4.88781791414765,
        4.887836986566187,
        4.887856535795187,
        4.887875608213725,
        4.887894680632262,
        4.887913753050799,
        4.887932825469336,
        4.8879518978878735,
        4.8879709703064105,
        4.887990042724947,
        4.888009115143484,
        4.888028187562021,
        4.888047259980559,
        4.888066332399096,
        4.888085404817633,
        4.88810447723617,
        4.888123549654708,
        4.888142622073245,
        4.888161694491782,
        4.8881807669103186,
        4.888199839328856,
        4.888218911747393,
        4.88823798416593,
        4.888257056584467,
        4.888275652192541,
        4.888294724611078,
        4.888313797029616,
        4.888332869448153,
        4.88835194186669,
        4.888371014285227,
        4.8883900867037635,
        4.888409159122301,
        4.888428231540838,
        4.888447303959375,
        4.888466376377912,
        4.88848544879645,
        4.888504521214987,
        4.888523593633524,
        4.888542666052061,
        4.888561738470598,
        4.8885803340786715,
        4.888599406497209,
        4.888618478915746,
        4.888637551334283,
        4.88865662375282,
        4.888675696171357,
        4.888694768589895,
        4.888713841008432,
        4.888732913426969,
        4.888751985845506,
        4.88877058145358,
        4.8887896538721165,
        4.888808726290654,
        4.888827798709191,
        4.888846871127728,
        4.888865943546265,
        4.888885015964803,
        4.88890408838334,
        4.888922683991414,
        4.888941756409951,
        4.888960828828488,
        4.8889799012470245,
        4.888998973665562,
        4.889018046084099,
        4.889036641692173,
        4.88905571411071,
        4.889074786529247,
        4.889093858947784,
        4.889112931366322,
        4.889132003784859,
        4.8891505993929325,
        4.889169671811469,
        4.889188744230006,
        4.889207816648543,
        4.889226889067081,
        4.889245484675154,
        4.889264557093692,
        4.889283629512229,
        4.889302701930766,
        4.889321774349303,
        4.8893403699573765,
        4.8893594423759135,
        4.889378514794451,
        4.889397587212988,
        4.889416182821062,
        4.889435255239599,
        4.889454327658136,
        4.889473400076673,
        4.889492472495211,
        4.8895110681032845,
        4.8895301405218214,
        4.889549212940358,
        4.889568285358895,
        4.889586880966969,
        4.889605953385506,
        4.889625025804044,
        4.889644098222581,
        4.889662693830655,
        4.889681766249192,
        4.8897008386677285,
        4.889719434275802,
        4.889738506694339,
        4.889757579112876,
        4.889776651531414,
        4.889795247139488,
        4.889814319558025,
        4.889833391976562,
        4.889851987584636,
        4.8898710600031725,
        4.8898901324217094,
        4.889908728029783,
        4.88992780044832,
        4.889946872866858,
        4.889965945285395,
        4.889984540893469,
        4.890003613312006,
        4.890022685730543,
        4.8900412813386165,
        4.890060353757153,
        4.89007942617569,
        4.890098021783764,
        4.890117094202302,
        4.890136166620839,
        4.890154762228913,
        4.89017383464745,
        4.8901924302555235,
        4.8902115026740605,
        4.890230575092597,
        4.890249170700671,
        4.890268243119208,
        4.890287315537746,
        4.890305911145819,
        4.890324983564357,
        4.890343579172431,
        4.8903626515909675,
        4.890381724009504,
        4.890400319617578,
        4.890419392036115,
        4.890438464454652,
        4.890457060062726,
        4.890476132481263,
        4.890494728089337,
        4.890513800507874,
        4.8905323961159475,
        4.890551468534485,
        4.890570540953022,
        4.890589136561096,
        4.890608208979633,
        4.890626804587707,
        4.890645877006244,
        4.890664472614318,
        4.8906835450328545,
        4.8907026174513915,
        4.890721213059465,
        4.890740285478002,
        4.890758881086076,
        4.890777953504614,
        4.890796549112687,
        4.890815621531225,
        4.890834217139298,
        4.890853289557835,
        4.890871885165909,
        4.890890957584446,
        4.890910030002983,
        4.891060702109426,
        4.8910792977175,
        4.891098370136037,
        4.891116965744111,
        4.8911360381626485,
        4.8911546337707215,
        4.891173706189259,
        4.891192301797333,
        4.891210897405406,
        4.891229969823944,
        4.891248565432018,
        4.891267637850555,
        4.8912862334586285,
        4.891305305877165,
        4.891323901485239,
        4.891342973903776,
        4.89136156951185,
        4.891380641930387,
        4.891399237538461,
        4.8914178331465346,
        4.8914369055650715,
        4.891455501173145,
        4.891474573591682,
        4.891493169199756,
        4.891512241618293,
        4.891530837226367,
        4.891549432834441,
        4.891568505252978,
        4.891587100861051,
        4.891606173279588,
        4.891624768887662,
        4.891643364495736,
        4.891662436914273,
        4.891681032522347,
        4.891700104940884,
        4.8917187005489575,
        4.891737296157031,
        4.891756368575568,
        4.891774964183642,
        4.891794036602179,
        4.891812632210253,
        4.891831227818327,
        4.892562178258762,
        4.892580773866836,
        4.892599846285373,
        4.892618441893447,
        4.892637037501521,
        4.8926556331095945,
        4.892674705528131,
        4.892693301136205,
        4.892711896744279,
        4.892730492352353,
        4.892749087960427,
        4.892768160378964,
        4.8927867559870375,
        4.892805351595111,
        4.892823947203185,
        4.892843019621722,
        4.892861615229796,
        4.89288021083787,
        4.892898806445943,
        4.8929174020540165,
        4.89293599766209,
        4.892955070080627,
        4.892973665688701,
        4.892992261296775,
        4.893010856904849,
        4.8930294525129225,
        4.8930485249314595,
        4.893067120539533,
        4.893085716147607,
        4.893104311755681,
        4.893122907363755,
        4.893141502971828,
        4.8931600985799015,
        4.893179170998439,
        4.893197766606512,
        4.893216362214586,
        4.89323495782266,
        4.893253553430734,
        4.893272149038808,
        4.893290744646881,
        4.893309817065418,
        4.893328412673492,
        4.893347008281566,
        4.89336560388964,
        4.893384199497713,
        4.893402795105787,
        4.89342139071386,
        4.893439986321934,
        4.893458581930008,
        4.893477177538082,
        4.893496249956619,
        4.893514845564693,
        4.8935334411727665,
        4.89355203678084,
        4.893570632388914,
        4.893589227996987,
        4.893607823605061,
        4.893626419213135,
        4.8936450148212085,
        4.893663610429282,
        4.893682206037356,
        4.89370080164543,
        4.893719397253503,
        4.893737992861577,
        4.893756588469651,
        4.8937756608881875,
        4.893794256496261,
        4.893812852104335,
        4.893831447712409,
        4.893850043320483,
        4.893868638928557,
        4.89388723453663,
        4.893905830144704,
        4.893924425752777,
        4.893943021360851,
        4.893961616968925,
        4.893980212576999,
        4.8939988081850725,
        4.894017403793146,
        4.89403599940122,
        4.894054595009294,
        4.894073190617367,
        4.894091786225441,
        4.8941103818335145,
        4.894128977441588,
        4.894147573049662,
        4.894166168657736,
        4.89418476426581,
        4.894203359873883,
        4.894221955481957,
        4.89424055109003,
        4.894259146698104,
        4.894277742306178,
        4.894296337914252,
        4.894314456711862,
        4.8943330523199355,
        4.894351647928009,
        4.894370243536083,
        4.894388839144157,
        4.894407434752231,
        4.894426030360305,
        4.894444625968378,
        4.894463221576451,
        4.894481817184525,
        4.894500412792599,
        4.894519008400673,
        4.894537604008747,
        4.8945561996168205,
        4.89457431841443,
        4.8946672964547995,
        4.894685892062872,
        4.894704487670946,
        4.89472308327902,
        4.894741678887094,
        4.894759797684705,
        4.8947783932927775,
        4.894796988900851,
        4.894815584508925,
        4.894834180116999,
        4.894852775725073,
        4.894871371333147,
        4.8948899669412205,
        4.89490808573883,
        4.894926681346904,
        4.894945276954978,
        4.894963872563052,
        4.894982468171126,
        4.8950010637791985,
        4.895019182576809,
        4.895037778184883,
        4.895056373792957,
        4.895074969401031,
        4.895093565009104,
        4.8951121606171775,
        4.895130279414788,
        4.895148875022862,
        4.895167470630936,
        4.895186066239009,
        4.895204661847083,
        4.895222780644693,
        4.895241376252767,
        4.895259971860841,
        4.895278567468914,
        4.895297163076988,
        4.895315281874598,
        4.895333877482672,
        4.895352473090746,
        4.895371068698819,
        4.895389664306893,
        4.8954077831045035,
        4.895426378712577,
        4.895444974320651,
        4.895463569928724,
        4.895481688726335,
        4.895500284334409,
        4.8955188799424825,
        4.895537475550556,
        4.895555594348166,
        4.89557418995624,
        4.895592785564314,
        4.895611381172388,
        4.895629499969997,
        4.895648095578071,
        4.895666691186145,
        4.895685286794219,
        4.895703405591829,
        4.8957220011999025,
        4.895740596807976,
        4.895758715605587,
        4.89577731121366,
        4.895795906821734,
        4.895814502429808,
        4.895832621227418,
        4.895851216835492,
        4.895869812443565,
        4.895887931241176,
        4.89590652684925,
        4.8959251224573235,
        4.895943241254933,
        4.895961836863007,
        4.895980432471081,
        4.895998551268691,
        4.896017146876765,
        4.896035742484838,
        4.896053861282449,
        4.896072456890523,
        4.896091052498596,
        4.896109171296207,
        4.89612776690428,
        4.896146362512354,
        4.896164481309964,
        4.896183076918038,
        4.896201672526112,
        4.896219791323722,
        4.896238386931795,
        4.896256982539869,
        4.89627510133748,
        4.896293696945554,
        4.8963118157431635,
        4.896330411351237,
        4.896349006959311,
        4.896367125756921,
        4.896385721364995,
        4.8964038401626055,
        4.896422435770679,
        4.896441031378753,
        4.896459150176363,
        4.896477745784437,
        4.896495864582047,
        4.8965144601901205,
        4.896533055798194,
        4.896551174595805,
        4.896569770203879,
        4.896587889001489,
        4.8966064846095625,
        4.896624603407172,
        4.896643199015246,
        4.89666179462332,
        4.896679913420931,
        4.8966985090290045,
        4.8993648331404955,
        4.902362063713607,
        4.902383996994924,
        4.902405930276243,
        4.902427386747097,
        4.902449320028414,
        4.902471253309732,
        4.90249318659105,
        4.902515119872367,
        4.902537053153685,
        4.902558509624539,
        4.902580442905857,
        4.902602376187175,
        4.902624309468493,
        4.90264624274981,
        4.902668176031128,
        4.902689632501982,
        4.9027115657833,
        4.902733499064618,
        4.902755432345935,
        4.902777365627253,
        4.902798822098108,
        4.902820755379425,
        4.902842688660742,
        4.902864621942061,
        4.902886078412915,
        4.902908011694232,
        4.902929944975551,
        4.902951878256868,
        4.902973811538185,
        4.90299526800904,
        4.903017201290358,
        4.903039134571675,
        4.903061067852993,
        4.903082524323847,
        4.903104457605165,
        4.903126390886483,
        4.903147847357337,
        4.903169780638654,
        4.9031917139199725,
        4.90321364720129,
        4.903235103672144,
        4.9032570369534625,
        4.90327897023478,
        4.903300426705634,
        4.9033223599869515,
        4.90334429326827,
        4.903366226549587,
        4.9033876830204415,
        4.903409616301759,
        4.903431549583077,
        4.903453006053931,
        4.903474939335249,
        4.903496872616566,
        4.9035183290874205,
        4.903540262368739,
        4.903562195650056,
        4.90358365212091,
        4.903605585402228,
        4.903627518683546,
        4.9036489751544,
        4.903670908435718,
        4.903692364906572,
        4.90371429818789,
        4.903736231469208,
        4.903757687940062,
        4.903779621221379,
        4.903801554502698,
        4.903823010973552,
        4.903844944254869,
        4.9038664007257236,
        4.903888334007041,
        4.903910267288359,
        4.9039317237592135,
        4.903953657040531,
        4.903975113511385,
        4.9039970467927025,
        4.904018980074021,
        4.904040436544875,
        4.9040623698261925,
        4.904083826297047,
        4.904105759578365,
        4.904127216049219,
        4.904149149330537,
        4.904171082611854,
        4.904192539082708,
        4.904214472364027,
        4.904235928834881,
        4.904257862116198,
        4.904279318587053,
        4.90430125186837,
        4.904322708339224,
        4.9043446416205425,
        4.904366098091397,
        4.904388031372714,
        4.9044094878435684,
        4.904431421124886,
        4.90445287759574,
        4.904474810877058,
        4.904496267347913,
        4.90451820062923,
        4.904539657100084,
        4.904561590381403,
        4.904583046852257,
        4.904604980133574,
        4.9046264366044285,
        4.904648369885746,
        4.9046698263566,
        4.9046917596379185,
        4.904713216108773,
        4.90473514939009,
        4.904756605860944,
        4.904778539142262,
        4.904799995613116,
        4.904821928894434,
        4.904843385365289,
        4.904864841836143,
        4.90488677511746,
        4.904908231588315,
        4.904930164869632,
        4.904951621340486,
        4.9049735546218045,
        4.904995011092659,
        4.905016467563513,
        4.9050384008448304,
        4.905059857315685,
        4.905081790597003,
        4.905103247067857,
        4.9051247035387116,
        4.905146636820029,
        4.905168093290883,
        4.905190026572201,
        4.905211483043055,
        4.905232939513909,
        4.905254872795227,
        4.905276329266082,
        4.905297785736936,
        4.905319719018253,
        4.905341175489108,
        4.905362631959962,
        4.905384565241279,
        4.905406021712134,
        4.905427954993452,
        4.905449411464306,
        4.90547086793516,
        4.905492801216478,
        4.905514257687332,
        4.905535714158186,
        4.905557170629041,
        4.905579103910359,
        4.905600560381213,
        4.9056220168520674,
        4.905643950133385,
        4.905665406604239,
        4.905686863075093,
        4.905708796356411,
        4.905730252827265,
        4.905751709298119,
        4.905773165768974,
        4.905795099050292,
        4.905816555521146,
        4.905838011992,
        4.905859945273318,
        4.905881401744172,
        4.905902858215026,
        4.905924314685881,
        4.905946247967198,
        4.905967704438052,
        4.905989160908907,
        4.906010617379761,
        4.906032550661079,
        4.906054007131933,
        4.906075463602788,
        4.906096920073642,
        4.906118853354959,
        4.906140309825814,
        4.906161766296668,
        4.906183222767522,
        4.906204679238376,
        4.906226612519694,
        4.906248068990548,
        4.906269525461403,
        4.9062909819322575,
        4.906312438403112,
        4.906334371684429,
        4.9063558281552835,
        4.906377284626138,
        4.906398741096992,
        4.906420197567846,
        4.906441654038701,
        4.906463587320018,
        4.906485043790872,
        4.9065065002617265,
        4.906527956732581,
        4.906549413203435,
        4.906570869674289,
        4.906592802955608,
        4.906614259426462,
        4.906635715897316,
        4.9066571723681704,
        4.906678628839025,
        4.906700085309879,
        4.906721541780733,
        4.9067429982515876,
        4.906764931532905,
        4.906786388003759,
        4.9068078444746135,
        4.906829300945468,
        4.906850757416322,
        4.906872213887176,
        4.906893670358031,
        4.906915126828885,
        4.906936583299739,
        4.906958039770593,
        4.906979973051911,
        4.907001429522765,
        4.907022885993619,
        4.907044342464474,
        4.907065798935328,
        4.907087255406182,
        4.9071087118770365,
        4.907130168347891,
        4.907151624818745,
        4.907173081289599,
        4.907194537760454,
        4.907215994231308,
        4.907237450702162,
        4.907258907173016,
        4.907280363643871,
        4.907301820114725,
        4.907323276585579,
        4.9073447330564335,
        4.907366189527288,
        4.907387645998142,
        4.907409102468997,
        4.9074305589398515,
        4.907452015410706,
        4.90747347188156,
        4.907494928352414,
        4.907516384823269,
        4.907537841294123,
        4.907816775415228,
        4.907838231886083,
        4.907859688356937,
        4.907881144827791,
        4.9079021244881815,
        4.907923580959036,
        4.90794503742989,
        4.907966493900744,
        4.907987950371599,
        4.908009406842453,
        4.908030863313307,
        4.9080523197841615,
        4.908073776255016,
        4.90809523272587,
        4.908116689196724,
        4.908137668857115,
        4.90815912532797,
        4.908180581798824,
        4.908202038269678,
        4.9082234947405325,
        4.908244951211387,
        4.908266407682241,
        4.908287387342632,
        4.9083088438134865,
        4.908330300284341,
        4.908351756755195,
        4.908373213226049,
        4.908394669696904,
        4.908416126167758,
        4.908437105828148,
        4.9084585622990025,
        4.908480018769857,
        4.908501475240711,
        4.908522931711565,
        4.9085439113719564,
        4.908565367842811,
        4.908586824313665,
        4.908608280784519,
        4.9086297372553735,
        4.908650716915765,
        4.908672173386619,
        4.908693629857473,
        4.9087150863283275,
        4.908736542799182,
        4.908757522459572,
        4.908778978930426,
        4.908800435401281,
        4.908821891872135,
        4.908842871532526,
        4.90886432800338,
        4.908885784474235,
        4.908907240945089,
        4.90892822060548,
        4.908949677076334,
        4.908971133547189,
        4.908992590018043,
        4.909013569678433,
        4.909035026149287,
        4.909056482620142,
        4.909077939090996,
        4.909098918751387,
        4.909120375222241,
        4.909141831693096,
        4.909162811353487,
        4.909184267824341,
        4.909205724295195,
        4.90922718076605,
        4.90924816042644,
        4.909269616897294,
        4.9092910733681485,
        4.90931205302854,
        4.909333509499394,
        4.909354965970248,
        4.909375945630639,
        4.909397402101494,
        4.909418858572348,
        4.909439838232738,
        4.9094612947035925,
        4.909482751174447,
        4.909503730834838,
        4.909525187305692,
        4.9095466437765465,
        4.909567623436938,
        4.909589079907792,
        4.909610059568182,
        4.9096315160390365,
        4.909652972509891,
        4.909673952170282,
        4.909695408641136,
        4.9097168651119905,
        4.909737844772381,
        4.909759301243235,
        4.909780280903626,
        4.9098017373744804,
        4.909823193845335,
        4.909844173505726,
        4.90986562997658,
        4.90988660963697,
        4.909908066107825,
        4.909929522578679,
        4.90995050223907,
        4.909971958709924,
        4.909992938370316,
        4.91001439484117,
        4.91003537450156,
        4.910056830972414,
        4.910077810632806,
        4.91009926710366,
        4.910120723574514,
        4.910141703234905,
        4.91016315970576,
        4.91018413936615,
        4.910205595837004,
        4.910226575497395,
        4.9102480319682495,
        4.910269011628641,
        4.910290468099495,
        4.910311447759885,
        4.9103329042307395,
        4.910353883891131,
        4.910375340361985,
        4.910396320022376,
        4.91041777649323,
        4.910438756153621,
        4.910460212624475,
        4.910481192284866,
        4.91050264875572,
        4.910523628416112,
        4.910545084886966,
        4.910566064547356,
        4.91058752101821,
        4.9106085006786016,
        4.910629957149456,
        4.910650936809847,
        4.910671916470237,
        4.9106933729410915,
        4.910714352601483,
        4.910735809072337,
        4.910756788732728,
        4.910778245203582,
        4.910799224863973,
        4.910820681334827,
        4.910841660995218,
        4.910862640655608,
        4.910884097126463,
        4.910905076786854,
        4.910926533257708,
        4.910947512918099,
        4.9109684925784896,
        4.910989949049344,
        4.911010928709735,
        4.911032385180589,
        4.91105336484098,
        4.911074344501371,
        4.911095800972225,
        4.911116780632616,
        4.91113823710347,
        4.911159216763862,
        4.911180196424252,
        4.911201652895106,
        4.911222632555497,
        4.9112436122158885,
        4.911265068686743,
        4.911286048347133,
        4.911307028007524,
        4.911328484478378,
        4.91134946413877,
        4.91137044379916,
        4.911391900270014,
        4.911412879930405,
        4.9114338595907965,
        4.911455316061651,
        4.911476295722041,
        4.911497275382432,
        4.9115187318532865,
        4.911539711513677,
        4.911560691174068,
        4.911582147644922,
        4.911603127305313,
        4.911624106965704,
        4.911645086626095,
        4.911666543096949,
        4.91168752275734,
        4.9117085024177305,
        4.911729482078122,
        4.911750938548976,
        4.911771918209367,
        4.911792897869757,
        4.911814354340612,
        4.911835334001003,
        4.911856313661394,
        4.911877293321784,
        4.9118987497926385,
        4.91191972945303,
        4.911940709113421,
        4.911961688773811,
        4.911982668434202,
        4.912004124905057,
        4.912025104565448,
        4.912046084225838,
        4.912067063886229,
        4.912088520357083,
        4.912109500017474,
        4.912130479677865,
        4.912151459338256,
        4.912172438998646,
        4.912193895469501,
        4.912214875129892,
        4.912235854790283,
        4.912256834450673,
        4.912277814111064,
        4.9122987937714555,
        4.91232025024231,
        4.9123412299027,
        4.912362209563091,
        4.912383189223482,
        4.912404168883873,
        4.912425148544264,
        4.912446605015118,
        4.912467584675509,
        4.9124885643358995,
        4.912509543996291,
        4.912530523656682,
        4.912551503317072,
        4.912572482977463,
        4.912593939448318,
        4.912614919108708,
        4.912635898769099,
        4.91265687842949,
        4.9126778580898804,
        4.912698837750272,
        4.912719817410663,
        4.912740797071053,
        4.912761776731444,
        4.9127832332022985,
        4.91280421286269,
        4.91282519252308,
        4.912846172183471,
        4.912867151843862,
        4.9128881315042525,
        4.912909111164644,
        4.912930090825035,
        4.912951070485425,
        4.912972050145816,
        4.912993029806207,
        4.913014009466598,
        4.913034989126989,
        4.913055968787379,
        4.91307694844777,
        4.9130979281081615,
        4.913119384579016,
        4.913140364239406,
        4.913161343899797,
        4.913182323560188,
        4.913203303220579,
        4.91322428288097,
        4.913245262541361,
        4.913266242201751,
        4.913287221862142,
        4.913308201522534,
        4.913329181182924,
        4.913350160843315,
        4.913371140503706,
        4.913392120164096,
        4.913413099824488,
        4.913434079484878,
        4.913455059145269,
        4.91347603880566,
        4.9134970184660505,
        4.913517998126442,
        4.913538500976369,
        4.91355948063676,
        4.913580460297151,
        4.913601439957541,
        4.913622419617933,
        4.913643399278324,
        4.913664378938714,
        4.913685358599105,
        4.913706338259496,
        4.913727317919887,
        4.913748297580278,
        4.913769277240668,
        4.913790256901059,
        4.91381123656145,
        4.913832216221841,
        4.913853195882232,
        4.913873698732159,
        4.91389467839255,
        4.913915658052941,
        4.913936637713332,
        4.913957617373723,
        4.913978597034114,
        4.913999576694504,
        4.914020556354895,
        4.9140415360152865,
        4.914062038865214,
        4.914083018525605,
        4.914103998185995,
        4.914124977846386,
        4.9141459575067765,
        4.914166937167168,
        4.914187916827559,
        4.914208419677486,
        4.914229399337877,
        4.914250378998267,
        4.914271358658659,
        4.91429233831905,
        4.91431331797944,
        4.914333820829368,
        4.914354800489758,
        4.9143757801501495,
        4.914396759810541,
        4.914417739470931,
        4.914438719131322,
        4.914459221981249,
        4.9144802016416405,
        4.914501181302031,
        4.914522160962422,
        4.914543140622813,
        4.91456364347274,
        4.914584623133131,
        4.914605602793522,
        4.914626582453913,
        4.914647562114304,
        4.914668064964231,
        4.914689044624622,
        4.914710024285013,
        4.914731003945404,
        4.914751506795331,
        4.914772486455722,
        4.914793466116112,
        4.9148144457765035,
        4.914834948626431,
        4.914855928286822,
        4.914876907947213,
        4.914897887607603,
        4.914918390457531,
        4.914939370117922,
        4.914960349778313,
        4.91498085262824,
        4.915001832288631,
        4.915022811949021,
        4.9150437916094125,
        4.91506429445934,
        4.915085274119731,
        4.915106253780122,
        4.915126756630049,
        4.91514773629044,
        4.915168715950831,
        4.915189218800759,
        4.915210198461149,
        4.91523117812154,
        4.915251680971467,
        4.915272660631858,
        4.915293640292249,
        4.915314143142177,
        4.915335122802567,
        4.915356102462958,
        4.915376605312885,
        4.9153975849732765,
        4.915418564633668,
        4.915439067483595,
        4.915460047143986,
        4.915481026804376,
        4.915501529654304,
        4.915522509314695,
        4.915543488975086,
        4.915563991825013,
        4.915584971485404,
        4.915605474335331,
        4.915626453995722,
        4.915647433656113,
        4.915667936506041,
        4.915688916166431,
        4.915709419016359,
        4.915730398676749,
        4.9157513783371405,
        4.915771881187068,
        4.915792860847459,
        4.915813363697386,
        4.915834343357777,
        4.915854846207704,
        4.9158758258680955,
        4.915896805528486,
        4.915917308378414,
        4.915938288038804,
        4.915958790888732,
        4.915979770549122,
        4.91600027339905,
        4.916021253059441,
        4.916041755909369,
        4.916062735569759,
        4.916083238419686,
        4.916104218080077,
        4.9161251977404685,
        4.916145700590396,
        4.916166680250787,
        4.916187183100714,
        4.916208162761105,
        4.916228665611032,
        4.9162496452714235,
        4.916270148121351,
        4.916291127781742,
        4.916311630631669,
        4.916332610292059,
        4.916353113141987,
        4.916374092802378,
        4.916394595652306,
        4.916415575312696,
        4.916436078162624,
        4.916456581012551,
        4.916477560672942,
        4.916498063522869,
        4.916519043183261,
        4.916539546033188,
        4.916560525693578,
        4.916581028543506,
        4.916602008203896,
        4.916622511053824,
        4.916643490714215,
        4.916663993564143,
        4.91668449641407,
        4.916705476074461,
        4.916725978924388,
        4.916746958584779,
        4.9167674614347066,
        4.916787964284634,
        4.916808943945025,
        4.916829446794952,
        4.916850426455343,
        4.91687092930527,
        4.9168914321551975,
        4.916912411815589,
        4.916932914665516,
        4.916953894325907,
        4.916974397175834,
        4.916994900025761,
        4.9170158796861525,
        4.91703638253608,
        4.917057362196471,
        4.917077865046398,
        4.917098367896326,
        4.917119347556716,
        4.917139850406644,
        4.9171603532565715,
        4.917181332916963,
        4.91720183576689,
        4.917222338616817,
        4.917243318277208,
        4.917263821127135,
        4.9172843239770625,
        4.917305303637454,
        4.917325806487381,
        4.917346309337309,
        4.917367288997699,
        4.917387791847626,
        4.917408294697554,
        4.917429274357945,
        4.917449777207873,
        4.9174702800578,
        4.917490782907727,
        4.917511762568118,
        4.917532265418045,
        4.917552768267973,
        4.917573747928364,
        4.917594250778291,
        4.917614753628219,
        4.917635256478146,
        4.917656236138537,
        4.917676738988464,
        4.9176972418383915,
        4.91771774468832,
        4.91773872434871,
        4.917759227198638,
        4.917779730048565,
        4.917800232898492,
        4.917821212558883,
        4.9178417154088105,
        4.917862218258738,
        4.917882721108666,
        4.917903700769056,
        4.917924203618984,
        4.917944706468911,
        4.917965209318838,
        4.917985712168766,
        4.918006691829157,
        4.918027194679084,
        4.918047697529012,
        4.918068200378939,
        4.918088703228866,
        4.918109682889257,
        4.918130185739185,
        4.918150688589113,
        4.91817119143904,
        4.918191694288967,
        4.918212197138894,
        4.918233176799285,
        4.9182536796492125,
        4.9182741824991405,
        4.918294685349068,
        4.918315188198995,
        4.918335691048923,
        4.918356670709313,
        4.91837717355924,
        4.918397676409168,
        4.9184181792590955,
        4.918438682109023,
        4.918459184958951,
        4.918479687808878,
        4.918500190658805,
        4.918521170319196,
        4.918541673169123,
        4.9185621760190505,
        4.918582678868979,
        4.918603181718906,
        4.918623684568833,
        4.918644187418761,
        4.918664690268688,
        4.918685193118615,
        4.918705695968543,
        4.918726675628934,
        4.918747178478861,
        4.918767681328789,
        4.918788184178716,
        4.918808687028643,
        4.918829189878571,
        4.918849692728498,
        4.9188701955784255,
        4.918890698428354,
        4.918911201278281,
        4.918931704128208,
        4.918952206978135,
        4.918972709828063,
        4.91899321267799,
        4.919013715527917,
        4.9190342183778455,
        4.919054721227773,
        4.9190752240777,
        4.919095726927627,
        4.919116229777555,
        4.919136732627482,
        4.919157235477409,
        4.919177738327337,
        4.919198241177265,
        4.919218744027192,
        4.919239246877119,
        4.919259749727047,
        4.919280252576974,
        4.919300755426901,
        4.919321258276829,
        4.9193417611267565,
        4.919362263976684,
        4.919382766826612,
        4.919403269676539,
        4.919423772526466,
        4.919444275376393,
        4.919464778226321,
        4.919485281076248,
        4.9195057839261755,
        4.919526286776104,
        4.919546789626031,
        4.919567292475958,
        4.919587795325885,
        4.919608298175813,
        4.91962880102574,
        4.9196493038756675,
        4.9196698067255955,
        4.91968983276506,
        4.919710335614987,
        4.919730838464914,
        4.919751341314841,
        4.919771844164769,
        4.919792347014696,
        4.919812849864623,
        4.9198333527145515,
        4.919853855564479,
        4.919874358414406,
        4.91989438445387,
        4.919914887303797,
        4.919935390153725,
        4.919955893003652,
        4.919976395853579,
        4.919996898703507,
        4.920017401553435,
        4.920037904403362,
        4.920057930442826,
        4.920078433292753,
        4.920098936142681,
        4.920119438992608,
        4.920139941842535,
        4.920160444692463,
        4.920180470731927,
        4.920200973581855,
        4.920221476431782,
        4.920241979281709,
        4.920262482131637,
        4.920282984981564,
        4.920303011021028,
        4.920323513870955,
        4.920344016720883,
        4.920364519570811,
        4.920385022420738,
        4.920405048460202,
        4.920425551310129,
        4.920446054160057,
        4.920466557009984,
        4.920487059859911,
        4.920507085899375,
        4.9205275887493025,
        4.920548091599231,
        4.920568594449158,
        4.920588620488622,
        4.920609123338549,
        4.920629626188477,
        4.920650129038404,
        4.920670155077868,
        4.920690657927795,
        4.9207111607777225,
        4.920731663627651,
        4.920751689667115,
        4.920772192517042,
        4.920792695366969,
        4.920813198216896,
        4.92083322425636,
        4.920853727106288,
        4.920874229956215,
        4.9208947328061425,
        4.920914758845607,
        4.920935261695535,
        4.920955764545462,
        4.920975790584926,
        4.920996293434853,
        4.92101679628478,
        4.921036822324244,
        4.921057325174172,
        4.921077828024099,
        4.9210978540635635,
        4.921118356913491,
        4.921138859763418,
        4.921159362613346,
        4.92117938865281,
        4.921199891502737,
        4.921219917542201,
        4.921240420392128,
        4.921260923242055,
        4.9212809492815195,
        4.9213014521314475,
        4.921321954981375,
        4.921341981020839,
        4.921362483870766,
        4.921382986720693,
        4.921403012760157,
        4.921423515610085,
        4.921444018460012,
        4.921464044499476,
        4.9214845473494035,
        4.921504573388868,
        4.921525076238795,
        4.921545579088723,
        4.921565605128187,
        4.921586107978114,
        4.921606134017578,
        4.921626636867505,
        4.921647139717433,
        4.9216671657568964,
        4.9216876686068245,
        4.9217076946462885,
        4.921728197496216,
        4.92174822353568,
        4.921768726385607,
        4.921789229235534,
        4.921809255274998,
        4.921829758124926,
        4.92184978416439,
        4.921870287014317,
        4.921890313053781,
        4.921910815903709,
        4.921930841943173,
        4.9219513447931,
        4.921971370832564,
        4.921991873682492,
        4.922011899721956,
        4.922032402571883,
        4.92205290542181,
        4.922072931461274,
        4.9220934343112015,
        4.9221134603506655,
        4.922133963200594,
        4.922153989240058,
        4.922174492089985,
        4.922194518129449,
        4.922215020979376,
        4.92223504701884,
        4.922255549868767,
        4.922275575908231,
        4.922295601947695,
        4.9223161047976225,
        4.9223361308370865,
        4.922356633687015,
        4.922376659726479,
        4.922397162576406,
        4.92241718861587,
        4.922437691465797,
        4.922457717505261,
        4.922478220355188,
        4.922498246394652,
        4.922518272434116,
        4.922538775284044,
        4.922558801323508,
        4.922579304173436,
        4.9225993302129,
        4.922619833062827,
        4.922639859102291,
        4.922659885141755,
        4.922680387991682,
        4.922700414031146,
        4.922720916881073,
        4.922740942920537,
        4.922760968960001,
        4.922781471809929,
        4.9228014978493935,
        4.922822000699321,
        4.922842026738785,
        4.922862052778249,
        4.922882555628176,
        4.92290258166764,
        4.922922607707104,
        4.922943110557031,
        4.922963136596495,
        4.922983639446422,
        4.923003665485886,
        4.9230236915253505,
        4.9230441943752785,
        4.923064220414742,
        4.923084246454206,
        4.923104749304134,
        4.923124775343598,
        4.923144801383062,
        4.923165304232989,
        4.923185330272453,
        4.923205356311917,
        4.923225859161844,
        4.923245885201308,
        4.923265911240772,
        4.9232864140907,
        4.923306440130164,
        4.923326466169628,
        4.923346492209092,
        4.923366995059019,
        4.923387021098483,
        4.923407047137947,
        4.923427549987874,
        4.923447576027338,
        4.923467602066802,
        4.923487628106266,
        4.923508130956194,
        4.923528156995658,
        4.9235481830351215,
        4.923568209074586,
        4.923588711924514,
        4.923608737963978,
        4.923628764003442,
        4.923649266853369,
        4.923669292892833,
        4.923689318932297,
        4.923709344971761,
        4.923729371011225,
        4.923749873861152,
        4.923769899900616,
        4.92378992594008,
        4.923809951979544,
        4.923830454829472,
        4.923850480868936,
        4.9238705069084,
        4.923890532947864,
        4.923910558987328,
        4.923931061837255,
        4.923951087876719,
        4.923971113916183,
        4.923991139955647,
        4.924011165995111,
        4.924031668845038,
        4.924051694884502,
        4.924071720923966,
        4.92409174696343,
        4.9241117730028945,
        4.9241317990423585,
        4.924152301892286,
        4.92417232793175,
        4.924192353971214,
        4.924212380010678,
        4.924232406050142,
        4.924252432089606,
        4.92427245812907,
        4.924292960978997,
        4.924312987018461,
        4.924333013057925,
        4.924353039097389,
        4.924373065136853,
        4.924393091176317,
        4.9244131172157815,
        4.9244331432552455,
        4.924453646105173,
        4.924473672144637,
        4.924493698184101,
        4.924513724223565,
        4.924533750263029,
        4.924553776302493,
        4.924573802341956,
        4.92459382838142,
        4.924613854420884,
        4.924633880460348,
        4.924653906499812,
        4.92467440934974,
        4.9246944353892035,
        4.9247144614286675,
        4.924734487468132,
        4.924754513507596,
        4.92477453954706,
        4.924794565586524,
        4.924814591625988,
        4.924834617665452,
        4.924854643704916,
        4.92487466974438,
        4.924894695783844,
        4.924914721823308,
        4.924934747862772,
        4.924954773902236,
        4.9249747999417,
        4.924994825981164,
        4.925014852020627,
        4.925034878060091,
        4.9250549040995555,
        4.9250749301390195,
        4.925094956178484,
        4.925114982217948,
        4.925135008257412,
        4.925155034296876,
        4.92517506033634,
        4.925195086375804,
        4.925215112415268,
        4.925235138454732,
        4.925255164494196,
        4.92527519053366,
        4.925295216573124,
        4.925315242612588,
        4.925335268652051,
        4.925355294691515,
        4.925375320730979,
        4.925395346770443,
        4.9254153728099075,
        4.9254353988493715,
        4.925455424888836,
        4.9254754509283,
        4.925495476967764,
        4.925515026196765,
        4.925535052236228,
        4.925555078275692,
        4.925575104315156,
        4.92559513035462,
        4.925615156394084,
        4.925635182433548,
        4.925655208473012,
        4.925675234512476,
        4.92569526055194,
        4.925715286591404,
        4.925734835820404,
        4.925754861859868,
        4.925774887899332,
        4.925794913938796,
        4.9258149399782605,
        4.9258349660177245,
        4.925854992057189,
        4.925875018096653,
        4.925894567325654,
        4.925914593365118,
        4.925934619404581,
        4.925954645444045,
        4.925974671483509,
        4.925994697522973,
        4.926014723562437,
        4.926034272791438,
        4.926054298830902,
        4.926074324870366,
        4.92609435090983,
        4.926114376949294,
        4.926134402988758,
        4.926153952217758,
        4.926173978257222,
        4.926194004296686,
        4.92621403033615,
        4.926234056375614,
        4.9262536056046144,
        4.9262736316440785,
        4.9262936576835425,
        4.926313683723007,
        4.926333709762471,
        4.926353258991472,
        4.926373285030936,
        4.9263933110704,
        4.926413337109864,
        4.926432886338864,
        4.926452912378328,
        4.926472938417792,
        4.926492964457256,
        4.92651299049672,
        4.92653253972572,
        4.926552565765184,
        4.926572591804648,
        4.926592617844112,
        4.926612167073113,
        4.926632193112577,
        4.926652219152041,
        4.926671768381041,
        4.926691794420505,
        4.926711820459969,
        4.926731846499433,
        4.926751395728434,
        4.926771421767898,
        4.9267914478073624,
        4.9268114738468265,
        4.9268310230758265,
        4.926851049115291,
        4.926871075154755,
        4.926890624383756,
        4.926910650423219,
        4.926930676462683,
        4.926950225691684,
        4.926970251731148,
        4.926990277770612,
        4.927009826999612,
        4.927029853039076,
        4.92704987907854,
        4.927069428307541,
        4.927089454347005,
        4.927109480386469,
        4.927129029615469,
        4.927149055654933,
        4.927169081694397,
        4.927188630923398,
        4.927208656962862,
        4.927228683002326,
        4.927248232231326,
        4.92726825827079,
        4.927287807499791,
        4.927307833539255,
        4.927327859578719,
        4.927347408807719,
        4.927367434847183,
        4.9273874608866475,
        4.927407010115648,
        4.9274270361551125,
        4.9274465853841125,
        4.927466611423577,
        4.927486637463041,
        4.9275061866920415,
        4.927526212731506,
        4.927545761960506,
        4.92756578799997,
        4.927585814039434,
        4.927605363268435,
        4.927625389307899,
        4.927644938536899,
        4.927664964576363,
        4.927684513805364,
        4.927704539844828,
        4.927724089073828,
        4.927744115113292,
        4.927764141152756,
        4.927783690381757,
        4.927803716421221,
        4.927823265650221,
        4.927843291689685,
        4.927862840918686,
        4.92788286695815,
        4.92790241618715,
        4.927922442226614,
        4.927941991455615,
        4.927962017495079,
        4.927981566724079,
        4.928001592763543,
        4.928021141992544,
        4.928041168032008,
        4.928060717261008,
        4.928080743300472,
        4.928100292529473,
        4.928120318568937,
        4.928139867797937,
        4.928159893837401,
        4.928179443066402,
        4.928199469105866,
        4.928219018334866,
        4.9282390443743305,
        4.928258593603331,
        4.9282786196427955,
        4.9282981688717955,
        4.928317718100796,
        4.9283377441402605,
        4.928357293369261,
        4.928377319408725,
        4.9283968686377255,
        4.92841689467719,
        4.9284364439061905,
        4.928456469945655,
        4.928476019174655,
        4.9284955684036555,
        4.92851559444312,
        4.92853514367212,
        4.928555169711584,
        4.928574718940585,
        4.928594268169585,
        4.928614294209049,
        4.92863384343805,
        4.928653869477514,
        4.928673418706514,
        4.928692967935515,
        4.928712993974979,
        4.928732543203979,
        4.928752569243443,
        4.928772118472444,
        4.928791667701445,
        4.928811693740908,
        4.928831242969909,
        4.92885079219891,
        4.928870818238374,
        4.928890367467374,
        4.928909916696375,
        4.928929942735839,
        4.928949491964839,
        4.928969518004303,
        4.928989067233304,
        4.929008616462304,
        4.929028642501768,
        4.929048191730769,
        4.929067740959769,
        4.929087766999233,
        4.929107316228234,
        4.929126865457235,
        4.929146414686235,
        4.929166440725699,
        4.9291859899547,
        4.9292055391837,
        4.929225565223164,
        4.929245114452165,
        4.929264663681165,
        4.929284689720629,
        4.92930423894963,
        4.92932378817863,
        4.929343337407631,
        4.929363363447095,
        4.929382912676096,
        4.929402461905096,
        4.929422011134097,
        4.929442037173561,
        4.929461586402561,
        4.929481135631562,
        4.929500684860562,
        4.929520710900026,
        4.929540260129027,
        4.929559809358027,
        4.929579358587028,
        4.929599384626492,
        4.929618933855493,
        4.929638483084493,
        4.929658032313494,
        4.929678058352958,
        4.929697607581958,
        4.929717156810959,
        4.929736706039959,
        4.92975625526896,
        4.929776281308424,
        4.929795830537425,
        4.929815379766425,
        4.929834928995426,
        4.929854478224426,
        4.92987450426389,
        4.929894053492891,
        4.929913602721891,
        4.929933151950892,
        4.929952701179893,
        4.929972727219356,
        4.929992276448357,
        4.930011825677358,
        4.930031374906358,
        4.930050924135359,
        4.930070473364359,
        4.93009002259336,
        4.930110048632824,
        4.930129597861824,
        4.930149147090825,
        4.930168696319826,
        4.930188245548826,
        4.930207794777827,
        4.930227344006827,
        4.930247370046291,
        4.930266919275292,
        4.930286468504292,
        4.930306017733293,
        4.930325566962294,
        4.930345116191294,
        4.930364665420295,
        4.930384214649295,
        4.930403763878296,
        4.93042378991776,
        4.93044333914676,
        4.930462888375761,
        4.930482437604762,
        4.930501986833762,
        4.930521536062763,
        4.930541085291763,
        4.930560634520764,
        4.930580183749765,
        4.930599732978765,
        4.930619282207766,
        4.930638831436766,
        4.930658380665767,
        4.930677929894767,
        4.930697955934231,
        4.930717505163232,
        4.930737054392233,
        4.930756603621233,
        4.930776152850234,
        4.930795702079234,
        4.930815251308235,
        4.930834800537235,
        4.930854349766236,
        4.9308738989952365,
        4.930893448224237,
        4.9309129974532375,
        4.930932546682238,
        4.9309520959112385,
        4.9309716451402394,
        4.9309911943692395,
        4.93101074359824,
        4.9310302928272405,
        4.931049842056241,
        4.9310693912852415,
        4.931088940514242,
        4.931108489743243,
        4.931128038972243,
        4.931147588201244,
        4.931167137430244,
        4.931186686659245,
        4.931206235888246,
        4.931225785117246,
        4.931245334346247,
        4.931264406764784,
        4.931283955993785,
        4.931303505222785,
        4.931323054451786,
        4.931342603680786,
        4.931362152909787,
        4.931381702138787,
        4.931401251367788,
        4.931420800596789,
        4.931440349825789,
        4.93145989905479,
        4.93147944828379,
        4.931498997512791,
        4.931518546741791,
        4.931537619160329,
        4.931557168389329,
        4.93157671761833,
        4.93159626684733,
        4.931615816076331,
        4.931635365305332,
        4.931654914534332,
        4.931674463763333,
        4.931694012992333,
        4.931713085410871,
        4.931732634639871,
        4.931752183868872,
        4.931771733097872,
        4.931791282326873,
        4.931810831555873,
        4.931830380784874,
        4.9318494532034105,
        4.931869002432411,
        4.9318885516614115,
        4.931908100890412,
        4.931927650119413,
        4.931947199348413,
        4.931966748577414,
        4.931985820995951,
        4.932005370224952,
        4.932024919453952,
        4.932044468682953,
        4.932064017911953,
        4.932083090330491,
        4.932102639559491,
        4.932122188788492,
        4.932141738017492,
        4.932161287246493,
        4.93218035966503,
        4.932199908894031,
        4.932219458123031,
        4.932239007352032,
        4.932258556581032,
        4.93227762899957,
        4.93229717822857,
        4.932316727457571,
        4.932336276686571,
        4.932355825915572,
        4.932374898334109,
        4.93239444756311,
        4.93241399679211,
        4.932433546021111,
        4.9324526184396476,
        4.9324721676686485,
        4.9324917168976485,
        4.9325112661266495,
        4.932530338545186,
        4.932549887774187,
        4.932569437003187,
        4.932588509421725,
        4.932608058650725,
        4.932627607879726,
        4.932647157108726,
        4.932666229527264,
        4.932685778756264,
        4.932705327985265,
        4.932724400403802,
        4.932743949632802,
        4.932763498861803,
        4.932783048090804,
        4.932802120509341,
        4.932821669738341,
        4.932841218967342,
        4.932860291385879,
        4.93287984061488,
        4.93289938984388,
        4.932918462262418,
        4.933228865874109,
        4.933247938292646,
        4.933267487521647,
        4.933286559940184,
        4.933306109169185,
        4.933325658398185,
        4.933344730816723,
        4.933364280045723,
        4.93338335246426,
        4.933402901693261,
        4.9334224509222615,
        4.933441523340798,
        4.9334610725697985,
        4.933480144988336,
        4.933499694217336,
        4.933518766635873,
        4.933538315864874,
        4.933557865093875,
        4.933576937512412,
        4.933596486741412,
        4.93361555915995,
        4.93363510838895,
        4.933654180807487,
        4.933673730036488,
        4.933692802455025,
        4.933712351684026,
        4.933731900913026,
        4.933750973331564,
        4.933770522560564,
        4.933789594979101,
        4.933809144208102,
        4.9338282166266385,
        4.934349370463166,
        4.934368442881703,
        4.934387992110704,
        4.934407064529241,
        4.934426613758242,
        4.934445686176779,
        4.934464758595316,
        4.934484307824317,
        4.9345033802428535,
        4.934522929471854,
        4.934542001890391,
        4.934561074308928,
        4.934580623537928,
        4.934599695956466,
        4.934619245185466,
        4.934638317604003,
        4.934657390022541,
        4.934676939251541,
        4.934696011670079,
        4.934715084088616,
        4.934734633317616,
        4.934753705736154,
        4.934772778154691,
        4.934792327383691,
        4.9348113998022285,
        4.9348309490312285,
        4.9348500214497655,
        4.934869093868303,
        4.934888643097303,
        4.93490771551584,
        4.934926787934378,
        4.934946337163378,
        4.934965409581915,
        4.934984482000453,
        4.935004031229453,
        4.93502310364799,
        4.935042176066528,
        4.935061248485065,
        4.935080797714066,
        4.9350998701326025,
        4.9351189425511395,
        4.93513849178014,
        4.935157564198677,
        4.935176636617214,
        4.935195709035751,
        4.935215258264752,
        4.935234330683289,
        4.935253403101826,
        4.935272952330827,
        4.935292024749364,
        4.935311097167901,
        4.935330169586439,
        4.935349718815439,
        4.935368791233976,
        4.9353878636525135,
        4.93540693607105,
        4.9354264853000505,
        4.935445557718588,
        4.935464630137125,
        4.935483702555662,
        4.935503251784663,
        4.9355223242032,
        4.935541396621737,
        4.935560469040274,
        4.935580018269275,
        4.935599090687812,
        4.935618163106349,
        4.9356372355248865,
        4.9356563079434235,
        4.9356758571724235,
        4.935694929590961,
        4.935714002009498,
        4.935733074428035,
        4.935752146846572,
        4.935771696075573,
        4.93579076849411,
        4.935809840912647,
        4.935828913331185,
        4.935847985749722,
        4.935867058168259,
        4.93588660739726,
        4.9359056798157965,
        4.9359247522343335,
        4.93594382465287,
        4.935962897071407,
        4.935981969489945,
        4.936001518718945,
        4.936020591137483,
        4.93603966355602,
        4.936058735974557,
        4.936077808393094,
        4.936096880811631,
        4.936115953230169,
        4.9361350256487055,
        4.936154574877706,
        4.936173647296243,
        4.93619271971478,
        4.936211792133317,
        4.936230864551854,
        4.936249936970392,
        4.936269009388929,
        4.936288081807466,
        4.936307154226003,
        4.936326703455004,
        4.936345775873541,
        4.936364848292078,
        4.9363839207106155,
        4.936402993129152,
        4.936422065547689,
        4.936441137966226,
        4.936460210384763,
        4.936479282803301,
        4.936498355221838,
        4.936517427640375,
        4.936536500058912,
        4.93655557247745,
        4.936574644895987,
        4.936594194124987,
        4.9366132665435245,
        4.936632338962061,
        4.936651411380598,
        4.936670483799135,
        4.936689556217672,
        4.93670862863621,
        4.936727701054747,
        4.936746773473284,
        4.936765845891821,
        4.936784918310359,
        4.936803990728896,
        4.936823063147433,
        4.9368421355659695,
        4.936861207984507,
        4.936880280403044,
        4.936899352821581,
        4.936918425240118,
        4.936937497658655,
        4.936956570077193,
        4.93697564249573,
        4.936994714914267,
        4.937013787332804,
        4.9370328597513415,
        4.9370519321698785,
        4.937071004588415,
        4.937090077006952,
        4.937109149425489,
        4.937128221844027,
        4.937147294262564,
        4.937165889870638,
        4.937184962289175,
        4.937204034707712,
        4.937223107126249,
        4.9372421795447865,
        4.937261251963323,
        4.93728032438186,
        4.937299396800397,
        4.937318469218935,
        4.937337541637472,
        4.937356614056009,
        4.937375686474546,
        4.937394758893083,
        4.937413831311621,
        4.9374324269196945,
        4.9374514993382315,
        4.937470571756768,
        4.937489644175305,
        4.937508716593842,
        4.93752778901238,
        4.937546861430917,
        4.937565933849454,
        4.937585006267991,
        4.937603601876065,
        4.937622674294602,
        4.9376417467131395,
        4.937660819131676,
        4.937679891550213,
        4.93769896396875,
        4.937718036387288,
        4.937736631995361,
        4.937755704413899,
        4.937774776832436,
        4.937793849250973,
        4.93781292166951,
        4.9378319940880475,
        4.9378510665065845,
        4.937869662114658,
        4.937888734533195,
        4.937907806951732,
        4.937926879370269,
        4.937945951788807,
        4.93796454739688,
        4.937983619815418,
        4.938002692233955,
        4.9380217646524915,
        4.9380408370710285,
        4.938059909489566,
        4.938078505097639,
        4.938097577516177,
        4.938116649934714,
        4.938135722353251,
        4.938154317961325,
        4.938173390379862,
        4.938192462798399,
        4.9382115352169365,
        4.938230607635473,
        4.938249203243547,
        4.938268275662084,
        4.938287348080621,
        4.938306420499158,
        4.938325016107232,
        4.93834408852577,
        4.938363160944307,
        4.9383822333628435,
        4.938400828970917,
        4.938419901389454,
        4.938438973807991,
        4.938458046226529,
        4.938476641834602,
        4.93849571425314,
        4.938514786671677,
        4.938533382279751,
        4.9385524546982875,
        4.9385715271168245,
        4.938590599535361,
        4.938609195143435,
        4.938628267561973,
        4.93864733998051,
        4.938665935588584,
        4.938685008007121,
        4.938704080425658,
        4.9387226760337315,
        4.938741748452268,
        4.938760820870805,
        4.938779893289343,
        4.938798488897417,
        4.938817561315954,
        4.938836633734491,
        4.938855229342565,
        4.938874301761102,
        4.938893374179639,
        4.938911969787712,
        4.938931042206249,
        4.938949637814323,
        4.93896871023286,
        4.938987782651398,
        4.939006378259472,
        4.939025450678009,
        4.939044523096546,
        4.9390631187046194,
        4.939082191123156,
        4.939101263541693,
        4.939119859149767,
        4.939138931568304,
        4.939157527176378,
        4.939176599594916,
        4.939195672013453,
        4.9392142676215265,
        4.939233340040063,
        4.939251935648137,
        4.939271008066674,
        4.939290080485211,
        4.939308676093285,
        4.939327748511822,
        4.939346344119896,
        4.939365416538433,
        4.9393844889569705,
        4.939403084565043,
        4.939422156983581,
        4.939440752591655,
        4.939459825010192,
        4.939478420618266,
        4.939497493036803,
        4.939516088644877,
        4.9395351610634135,
        4.93955423348195,
        4.939572829090024,
        4.939591901508561,
        4.939610497116635,
        4.939629569535172,
        4.939648165143246,
        4.939667237561784,
        4.9396858331698565,
        4.939704905588394,
        4.939723501196467,
        4.939742573615005,
        4.939761169223079,
        4.939780241641616,
        4.93979883724969,
        4.939817909668227,
        4.9398365052763005,
        4.939855577694837,
        4.939874173302911,
        4.939893245721448,
        4.939911841329522,
        4.939930913748059,
        4.939949509356133,
        4.93996858177467,
        4.9399871773827435,
        4.9400062498012804,
        4.940024845409354,
        4.940043917827891,
        4.940062513435965,
        4.940081585854503,
        4.940100181462576,
        4.94011877707065,
        4.940137849489187,
        4.94015644509726,
        4.940175517515798,
        4.940194113123871,
        4.940213185542409,
        4.940231781150483,
        4.94025085356902,
        4.9402694491770935,
        4.940288044785167,
        4.940307117203704,
        4.940325712811778,
        4.940344785230315,
        4.940363380838389,
        4.940381976446463,
        4.940401048865,
        4.9404196444730735,
        4.94043871689161,
        4.940457312499684,
        4.940475908107758,
        4.940494980526295,
        4.940513576134369,
        4.940532648552906,
        4.94055124416098,
        4.940569839769053,
        4.94058891218759,
        4.940607507795664,
        4.940626103403738,
        4.940645175822275,
        4.940663771430349,
        4.940682843848886,
        4.9407014394569595,
        4.940720035065033,
        4.94073910748357,
        4.940757703091644,
        4.940776298699718,
        4.940795371118255,
        4.940813966726329,
        4.9408325623344025,
        4.940851634752939,
        4.940870230361013,
        4.940888825969087,
        4.940907898387624,
        4.940926493995698,
        4.940945089603772,
        4.9409636852118455,
        4.940982757630382,
        4.941001353238456,
        4.941019948846529,
        4.941039021265067,
        4.941057616873141,
        4.941076212481214,
        4.941095284899752,
        4.941113880507825,
        4.941132476115898,
        4.941151071723972,
        4.94117014414251,
        4.941188739750583,
        4.941207335358657,
        4.941225930966731,
        4.9412450033852675,
        4.941263598993341,
        4.941282194601415,
        4.941300790209489,
        4.941319862628026,
        4.9413384582361,
        4.941357053844174,
        4.941375649452247,
        4.941394721870784,
        4.941413317478858,
        4.941431913086932,
        4.941450508695006,
        4.941469581113543,
        4.9414881767216166,
        4.94150677232969,
        4.941525367937763,
        4.941543963545837,
        4.941563035964375,
        4.941581631572448,
        4.941600227180522,
        4.9416188227885955,
        4.941637418396669,
        4.941656490815206,
        4.94167508642328,
        4.941693682031354,
        4.941712277639428,
        4.941730873247502,
        4.9417499456660385,
        4.941768541274112,
        4.941787136882186,
        4.94180573249026,
        4.941824328098333,
        4.941842923706407,
        4.941861996124945,
        4.9418805917330175,
        4.941899187341091,
        4.941917782949165,
        4.941936378557239,
        4.941954974165313,
        4.941973569773387,
        4.941992642191924,
        4.942011237799997,
        4.942029833408071,
        4.942048429016145,
        4.942067024624218,
        4.942085620232292,
        4.942104215840366,
        4.9421228114484395,
        4.942141407056513,
        4.94216047947505,
        4.942179075083124,
        4.942197670691198,
        4.942216266299272,
        4.9422348619073455,
        4.942253457515419,
        4.942272053123492,
        4.942290648731566,
        4.94230924433964,
        4.942327839947714,
        4.942346435555788,
        4.9423655079743245,
        4.942384103582398,
        4.942402699190472,
        4.942421294798546,
        4.94243989040662,
        4.942458486014693,
        4.9424770816227666,
        4.94249567723084,
        4.943127927905347,
        4.943146523513421,
        4.9431651191214945,
        4.943183714729567,
        4.945453332535488,
        4.949322172635745,
        4.949344582727527,
        4.949366516008844,
        4.949388449290161,
        4.94941038257148,
        4.949432792663261,
        4.9494547259445785,
        4.949476659225896,
        4.949499069317677,
        4.949521002598995,
        4.949542935880313,
        4.94956486916163,
        4.949587279253412,
        4.949609212534729,
        4.9496311458160465,
        4.949653079097365,
        4.949675489189146,
        4.9496974224704635,
        4.949719355751781,
        4.949741289033099,
        4.94976369912488,
        4.949785632406198,
        4.949807565687515,
        4.949829498968833,
        4.949851432250151,
        4.949873842341932,
        4.94989577562325,
        4.949917708904567,
        4.9499396421858854,
        4.949961575467203,
        4.949983985558984,
        4.950005918840302,
        4.950027852121619,
        4.950049785402937,
        4.950071718684255,
        4.950094128776036,
        4.950116062057353,
        4.950137995338672,
        4.950159928619989,
        4.9501818619013065,
        4.950203795182625,
        4.950226205274405,
        4.9502481385557235,
        4.950270071837041,
        4.950292005118358,
        4.950313938399677,
        4.950335871680994,
        4.950357804962311,
        4.950380215054093,
        4.950402148335411,
        4.950424081616728,
        4.950446014898046,
        4.950467948179364,
        4.9504898814606815,
        4.950511814741999,
        4.950533748023317,
        4.950556158115098,
        4.950578091396416,
        4.950600024677733,
        4.950621957959052,
        4.950643891240369,
        4.950665824521686,
        4.950687757803005,
        4.950709691084322,
        4.950731624365639,
        4.950753557646958,
        4.950775490928275,
        4.9507974242095925,
        4.950819357490911,
        4.950841767582691,
        4.9508637008640095,
        4.950885634145327,
        4.950907567426645,
        4.950929500707963,
        4.95095143398928,
        4.950973367270598,
        4.950995300551916,
        4.951017233833233,
        4.951039167114551,
        4.951061100395869,
        4.951083033677186,
        4.951104966958504,
        4.951126900239822,
        4.95114883352114,
        4.951170766802457,
        4.951192700083775,
        4.951214633365093,
        4.95123656664641,
        4.951258499927728,
        4.951280433209046,
        4.9513023664903635,
        4.951324299771681,
        4.951346233052999,
        4.9513681663343165,
        4.951390099615634,
        4.951412032896952,
        4.95143396617827,
        4.951455899459588,
        4.951477355930442,
        4.9514992892117595,
        4.951521222493077,
        4.951543155774395,
        4.951565089055713,
        4.95158702233703,
        4.951608955618348,
        4.951630888899666,
        4.951652822180983,
        4.951674755462301,
        4.951696688743619,
        4.951718622024937,
        4.951740555306254,
        4.951762011777109,
        4.951783945058426,
        4.951805878339744,
        4.951827811621062,
        4.951849744902379,
        4.951871678183697,
        4.951893611465015,
        4.951915544746332,
        4.95193747802765,
        4.951958934498505,
        4.951980867779822,
        4.952002801061139,
        4.952024734342458,
        4.952046667623775,
        4.952985030615802,
        4.95300696389712,
        4.953028420367974,
        4.953050353649292,
        4.95307228693061,
        4.953094220211928,
        4.953115676682782,
        4.9531376099641,
        4.953159543245417,
        4.953180999716271,
        4.9532029329975895,
        4.953224866278907,
        4.953246322749761,
        4.953268256031079,
        4.953289712501933,
        4.953311645783251,
        4.9533335790645685,
        4.953355035535423,
        4.95337696881674,
        4.953398902098058,
        4.953420358568913,
        4.95344229185023,
        4.953464225131548,
        4.953485681602403,
        4.95350761488372,
        4.953529071354574,
        4.953551004635892,
        4.95357293791721,
        4.953594394388064,
        4.953616327669382,
        4.953637784140236,
        4.953659717421553,
        4.953681173892408,
        4.953703107173726,
        4.953725040455043,
        4.9537464969258975,
        4.95480930744888,
        4.954830763919734,
        4.954852220390588,
        4.954874153671906,
        4.95489561014276,
        4.954917543424078,
        4.9549389998949325,
        4.954960456365787,
        4.954982389647104,
        4.955003846117958,
        4.955025302588813,
        4.95504723587013,
        4.955068692340984,
        4.955090148811839,
        4.955112082093157,
        4.955133538564011,
        4.9551549950348655,
        4.955176928316183,
        4.955198384787037,
        4.955219841257891,
        4.955241774539209,
        4.955263231010063,
        4.955284687480917,
        4.955306620762236,
        4.95532807723309,
        4.955349533703944,
        4.9553714669852615,
        4.955392923456116,
        4.95541437992697,
        4.955435836397824,
        4.955457769679142,
        4.955479226149996,
        4.955500682620851,
        4.955522615902169,
        4.955544072373023,
        4.955565528843877,
        4.955586985314731,
        4.955608918596049,
        4.955630375066903,
        4.955651831537757,
        4.955673288008612,
        4.95569522128993,
        4.955716677760784,
        4.9557381342316384,
        4.955759590702493,
        4.95578152398381,
        4.955802980454664,
        4.955824436925519,
        4.955845893396373,
        4.955867349867227,
        4.955889283148545,
        4.955910739619399,
        4.955932196090253,
        4.955953652561107,
        4.955975585842426,
        4.95599704231328,
        4.956018498784134,
        4.9560399552549885,
        4.956061411725843,
        4.956082868196697,
        4.9561048014780145,
        4.956126257948869,
        4.956147714419723,
        4.956169170890577,
        4.956190627361432,
        4.956212083832286,
        4.956234017113603,
        4.9562554735844575,
        4.956276930055312,
        4.956298386526166,
        4.956319842997021,
        4.9563412994678755,
        4.95636275593873,
        4.956384689220047,
        4.956406145690901,
        4.956427602161756,
        4.95644905863261,
        4.956470515103464,
        4.9564919715743185,
        4.956513428045173,
        4.956534884516027,
        4.956556340986881,
        4.956578274268199,
        4.956599730739053,
        4.956621187209907,
        4.956642643680762,
        4.956664100151616,
        4.95668555662247,
        4.956707013093324,
        4.956728469564179,
        4.956749926035033,
        4.956771382505887,
        4.9567928389767415,
        4.956814295447596,
        4.95683575191845,
        4.956857685199768,
        4.956879141670623,
        4.956900598141477,
        4.956922054612331,
        4.956943511083185,
        4.95696496755404,
        4.956986424024894,
        4.957007880495748,
        4.9570293369666025,
        4.957050793437457,
        4.957797955433648,
        4.959018113409562,
        4.959039569880416,
        4.9590605495408075,
        4.959082006011662,
        4.959103462482516,
        4.959124442142906,
        4.959145898613761,
        4.959167355084615,
        4.959188334745006,
        4.95920979121586,
        4.959231247686715,
        4.959252227347106,
        4.95927368381796,
        4.959295140288814,
        4.959316119949205,
        4.959337576420059,
        4.959359032890913,
        4.959380012551304,
        4.959401469022159,
        4.95942244868255,
        4.959443905153404,
        4.959465361624258,
        4.959486341284649,
        4.959507797755503,
        4.959529254226357,
        4.959550233886748,
        4.959571690357603,
        4.959592670017994,
        4.959614126488848,
        4.959635106149238,
        4.959656562620093,
        4.959678019090947,
        4.959698998751338,
        4.959720455222192,
        4.9597414348825835,
        4.959762891353438,
        4.959783871013828,
        4.959805327484682,
        4.9598267839555366,
        4.959847763615928,
        4.959869220086782,
        4.959890199747173,
        4.959911656218027,
        4.959932635878418,
        4.959954092349272,
        4.959975072009663,
        4.959996528480517,
        4.960017508140909,
        4.960038964611763,
        4.960059944272153,
        4.960081400743007,
        4.960102380403399,
        4.960123836874253,
        4.960144816534644,
        4.960166273005498,
        4.960187252665889,
        4.960208709136743,
        4.960229688797134,
        4.960251145267988,
        4.9602721249283785,
        4.960293581399233,
        4.960314561059624,
        4.960336017530478,
        4.960356997190869,
        4.960378453661724,
        4.960399433322114,
        4.960420889792968,
        4.960441869453359,
        4.960462849113751,
        4.960484305584605,
        4.960505285244995,
        4.960526741715849,
        4.960547721376241,
        4.960569177847095,
        4.960590157507486,
        4.960611137167876,
        4.9606325936387305,
        4.960653573299122,
        4.960675029769976,
        4.960696009430367,
        4.960717465901221,
        4.960738445561612,
        4.960759425222003,
        4.960780881692857,
        4.960801861353248,
        4.960823317824103,
        4.960844297484493,
        4.960865277144884,
        4.960886733615738,
        4.9609077132761294,
        4.96092869293652,
        4.960950149407374,
        4.960971129067765,
        4.960992108728155,
        4.961013565199011,
        4.961034544859401,
        4.961055524519792,
        4.961076980990646,
        4.961097960651037,
        4.961119417121891,
        4.961140396782282,
        4.961161376442673,
        4.9611823561030635,
        4.961203812573918,
        4.961224792234309,
        4.9612457718947,
        4.961267228365554,
        4.961288208025945,
        4.961309187686336,
        4.96133064415719,
        4.961351623817581,
        4.9613726034779715,
        4.961394059948826,
        4.961415039609217,
        4.961436019269608,
        4.961456998929998,
        4.961478455400853,
        4.961499435061244,
        4.961520414721635,
        4.961541394382025,
        4.9615628508528795,
        4.961583830513271,
        4.961604810173662,
        4.961625789834052,
        4.961647246304906,
        4.9616682259652976,
        4.961689205625688,
        4.961710185286079,
        4.961731641756933,
        4.961752621417324,
        4.961773601077715,
        4.961794580738106,
        4.96181603720896,
        4.961837016869351,
        4.961857996529742,
        4.961878976190133,
        4.961899955850524,
        4.961921412321378,
        4.9619423919817685,
        4.96196337164216,
        4.961984351302551,
        4.962005330962941,
        4.962026787433795,
        4.9620477670941865,
        4.962068746754578,
        4.962089726414968,
        4.962110706075359,
        4.962131685735749,
        4.962153142206604,
        4.962174121866995,
        4.962195101527386,
        4.962216081187776,
        4.962237060848167,
        4.962258040508559,
        4.962279020168949,
        4.962300476639803,
        4.962321456300194,
        4.962342435960585,
        4.962363415620976,
        4.962384395281367,
        4.962405374941758,
        4.962426354602148,
        4.9624473342625395,
        4.962468790733394,
        4.962489770393785,
        4.962510750054175,
        4.962531729714566,
        4.9625527093749575,
        4.962573689035348,
        4.962594668695739,
        4.962615648356129,
        4.96263662801652,
        4.9626576076769116,
        4.962678587337302,
        4.962700043808156,
        4.962721023468547,
        4.962742003128938,
        4.962762982789329,
        4.96278396244972,
        4.962804942110111,
        4.962825921770501,
        4.9628469014308925,
        4.962867881091284,
        4.962888860751674,
        4.962909840412065,
        4.962930820072456,
        4.9629517997328465,
        4.962972779393238,
        4.962993759053629,
        4.963014738714019,
        4.96303571837441,
        4.9630566980348005,
        4.963077677695192,
        4.963098657355583,
        4.963119637015973,
        4.963140616676364,
        4.9631615963367555,
        4.963182575997146,
        4.963203555657537,
        4.963224535317928,
        4.963245514978318,
        4.9632664946387095,
        4.963287474299101,
        4.963308453959491,
        4.963329433619882,
        4.963350413280273,
        4.9633713929406635,
        4.963392372601055,
        4.963413352261445,
        4.963434331921836,
        4.963455311582227,
        4.963476291242618,
        4.963497270903009,
        4.963517773752936,
        4.963538753413327,
        4.963559733073718,
        4.9635807127341085,
        4.9636016923945,
        4.963622672054891,
        4.963643651715281,
        4.963664631375672,
        4.963685611036063,
        4.963706590696454,
        4.963727570356845,
        4.963748073206772,
        4.963769052867163,
        4.9637900325275535,
        4.963811012187945,
        4.963831991848336,
        4.963852971508726,
        4.963873951169117,
        4.963894930829508,
        4.9639154336794356,
        4.963936413339827,
        4.963957393000217,
        4.963978372660608,
        4.963999352320999,
        4.96402033198139,
        4.964041311641781,
        4.964061814491708,
        4.964082794152099,
        4.964103773812489,
        4.9641247534728805,
        4.964145733133272,
        4.964166712793662,
        4.96418721564359,
        4.96420819530398,
        4.964229174964371,
        4.964250154624763,
        4.964271134285153,
        4.964291637135081,
        4.964312616795471,
        4.964333596455862,
        4.9643545761162535,
        4.964375555776644,
        4.964396058626571,
        4.964417038286962,
        4.964438017947353,
        4.964458997607744,
        4.964479500457672,
        4.964500480118062,
        4.964521459778453,
        4.964542439438844,
        4.9645634190992345,
        4.9645839219491625,
        4.964604901609553,
        4.964625881269944,
        4.964646860930335,
        4.964667363780262,
        4.964688343440653,
        4.964709323101044,
        4.964729825950971,
        4.964750805611362,
        4.964771785271753,
        4.9647927649321435,
        4.9648132677820715,
        4.964834247442462,
        4.964855227102853,
        4.96487572995278,
        4.964896709613171,
        4.9649176892735625,
        4.964938668933953,
        4.96495917178388,
        4.964980151444271,
        4.965001131104662,
        4.965021633954589,
        4.965042613614981,
        4.965063593275371,
        4.965084096125299,
        4.965105075785689,
        4.96512605544608,
        4.9651465582960075,
        4.965167537956399,
        4.96518851761679,
        4.965209020466717,
        4.965230000127107,
        4.965250502977035,
        4.965271482637426,
        4.965292462297817,
        4.965312965147744,
        4.965333944808135,
        4.965354924468526,
        4.965375427318453,
        4.9653964069788445,
        4.965416909828772,
        4.965437889489163,
        4.965458869149553,
        4.96547937199948,
        4.9655003516598715,
        4.965520854509799,
        4.96554183417019,
        4.965562813830581,
        4.965583316680508,
        4.965604296340899,
        4.965624799190826,
        4.965645778851218,
        4.965666758511608,
        4.965687261361536,
        4.965708241021926,
        4.965728743871854,
        4.9657497235322445,
        4.965770226382172,
        4.965791206042563,
        4.96581170889249,
        4.965832688552881,
        4.965853191402808,
        4.9658741710631995,
        4.965895150723591,
        4.965915653573518,
        4.965936633233909,
        4.965957136083836,
        4.965978115744227,
        4.9659986185941545,
        4.966019598254545,
        4.966040101104473,
        4.966061080764863,
        4.966081583614791,
        4.966102563275181,
        4.9661230661251095,
        4.9661440457855,
        4.966164548635428,
        4.966185528295818,
        4.966206031145746,
        4.966227010806136,
        4.9662475136560635,
        4.966268016505992,
        4.966288996166382,
        4.96630949901631,
        4.9663304786767,
        4.966350981526628,
        4.9663719611870185,
        4.966392464036947,
        4.966413443697337,
        4.966433946547265,
        4.966454926207655,
        4.966475429057582,
        4.96649593190751,
        4.966516911567901,
        4.966537414417829,
        4.966558394078219,
        4.966578896928147,
        4.966599399778074,
        4.966620379438465,
        4.9666408822883925,
        4.966661861948784,
        4.966682364798711,
        4.966702867648638,
        4.966723847309029,
        4.966744350158956,
        4.9667653298193475,
        4.966785832669275,
        4.966806335519202,
        4.966827315179593,
        4.96684781802952,
        4.966868797689911,
        4.9668893005398385,
        4.966909803389766,
        4.966930783050157,
        4.966951285900084,
        4.966971788750012,
        4.966992768410402,
        4.96701327126033,
        4.9670337741102575,
        4.967054753770649,
        4.967075256620576,
        4.967095759470503,
        4.967116739130894,
        4.967137241980821,
        4.9671577448307485,
        4.96717872449114,
        4.967199227341067,
        4.967219730190995,
        4.967240233040922,
        4.967261212701313,
        4.96728171555124,
        4.9673022184011675,
        4.967323198061559,
        4.967343700911486,
        4.967364203761413,
        4.967385183421804,
        4.967405686271731,
        4.967426189121659,
        4.9674466919715865,
        4.967467671631978,
        4.967488174481905,
        4.967508677331832,
        4.967529180181759,
        4.96755015984215,
        4.9675706626920775,
        4.9675911655420055,
        4.967611668391933,
        4.967632648052324,
        4.967653150902251,
        4.967673653752178,
        4.967694156602105,
        4.967714659452033,
        4.967735639112424,
        4.967756141962352,
        4.967776644812279,
        4.967797147662206,
        4.967818127322597,
        4.967838630172524,
        4.967859133022452,
        4.96787963587238,
        4.967900138722307,
        4.967921118382698,
        4.967941621232625,
        4.967962124082552,
        4.96798262693248,
        4.968003129782407,
        4.968023632632335,
        4.968044612292726,
        4.968065115142653,
        4.96808561799258,
        4.968106120842508,
        4.968126623692435,
        4.9681471265423625,
        4.9681676293922905,
        4.968188609052681,
        4.968209111902609,
        4.968229614752536,
        4.968250117602463,
        4.96827062045239,
        4.968291123302318,
        4.9683116261522455,
        4.968332605812637,
        4.968353108662564,
        4.968373611512491,
        4.968394114362419,
        4.968414617212346,
        4.968435120062273,
        4.9684556229122006,
        4.968476125762129,
        4.968496628612056,
        4.968517131461983,
        4.968538111122374,
        4.968558613972301,
        4.968579116822229,
        4.9685996196721565,
        4.968620122522084,
        4.968640625372011,
        4.968661128221939,
        4.968681631071866,
        4.968702133921793,
        4.968722636771721,
        4.968743139621648,
        4.9687636424715755,
        4.968784145321503,
        4.968804648171431,
        4.968825151021358,
        4.968845653871285,
        4.968866156721213,
        4.96888665957114,
        4.9689071624210674,
        4.9689276652709955,
        4.968948168120923,
        4.96896867097085,
        4.968989173820777,
        4.969009676670705,
        4.969030179520632,
        4.969050682370559,
        4.969071185220487,
        4.969091688070415,
        4.969112190920342,
        4.969132693770269,
        4.969153196620197,
        4.969173699470124,
        4.969194202320051,
        4.969214705169979,
        4.9692352080199065,
        4.969255710869834,
        4.969276213719762,
        4.969296716569689,
        4.969317219419616,
        4.969337722269543,
        4.969358225119471,
        4.969378727969398,
        4.9693992308193256,
        4.969419733669254,
        4.969440236519181,
        4.969460739369108,
        4.969481242219035,
        4.969501745068963,
        4.969521771108427,
        4.969542273958354,
        4.9695627768082815,
        4.96958327965821,
        4.969603782508137,
        4.969624285358064,
        4.969644788207991,
        4.969665291057919,
        4.969685793907846,
        4.969706296757773,
        4.9697263227972375,
        4.9697468256471655,
        4.969767328497093,
        4.96978783134702,
        4.969808334196947,
        4.969828837046875,
        4.969849339896802,
        4.969869365936266,
        4.969889868786193,
        4.9699103716361215,
        4.969930874486049,
        4.969951377335976,
        4.969971880185903,
        4.969992383035831,
        4.970012409075295,
        4.970032911925222,
        4.970053414775149,
        4.970073917625077,
        4.970094420475005,
        4.970114446514469,
        4.970134949364396,
        4.970155452214323,
        4.970175955064251,
        4.970196457914178,
        4.970216960764105,
        4.970236986803569,
        4.970257489653497,
        4.970277992503425,
        4.970298495353352,
        4.970318521392816,
        4.970339024242743,
        4.970359527092671,
        4.970380029942598,
        4.970400532792525,
        4.970420558831989,
        4.970441061681917,
        4.970461564531845,
        4.970482067381772,
        4.970502093421236,
        4.970522596271163,
        4.97054309912109,
        4.970563601971018,
        4.970583628010482,
        4.970604130860409,
        4.970624633710337,
        4.970644659749801,
        4.970665162599729,
        4.970685665449656,
        4.970706168299583,
        4.970726194339047,
        4.970746697188974,
        4.970767200038902,
        4.970787226078366,
        4.9708077289282935,
        4.970828231778221,
        4.970848734628148,
        4.970868760667612,
        4.97088926351754,
        4.970909766367467,
        4.970929792406931,
        4.970950295256858,
        4.970970798106785,
        4.9709908241462495,
        4.9710113269961775,
        4.971031829846105,
        4.971051855885569,
        4.971072358735496,
        4.971092861585424,
        4.971112887624887,
        4.971133390474815,
        4.971153893324742,
        4.971173919364206,
        4.9711944222141335,
        4.971214448253598,
        4.971234951103526,
        4.971255453953453,
        4.971275479992917,
        4.971295982842844,
        4.971316008882308,
        4.971336511732235,
        4.971357014582163,
        4.971377040621627,
        4.9713975434715545,
        4.971418046321482,
        4.971438072360946,
        4.971458575210873,
        4.971478601250337,
        4.971499104100265,
        4.971519130139728,
        4.971539632989656,
        4.971560135839583,
        4.971580161879047,
        4.9716006647289746,
        4.971620690768439,
        4.971641193618367,
        4.97166121965783,
        4.971681722507758,
        4.971701748547222,
        4.971722251397149,
        4.971742754247076,
        4.97176278028654,
        4.971783283136468,
        4.9718033091759315,
        4.9718238120258595,
        4.971843838065324,
        4.971864340915251,
        4.971884366954715,
        4.971904869804642,
        4.971924895844106,
        4.971945398694033,
        4.971965424733497,
        4.971985927583425,
        4.972005953622889,
        4.9720264564728165,
        4.9720464825122805,
        4.972066985362208,
        4.972087011401672,
        4.972107514251599,
        4.972127540291063,
        4.972148043140991,
        4.972168069180455,
        4.972188572030382,
        4.972208598069846,
        4.97222862410931,
        4.9722491269592375,
        4.9722691529987015,
        4.972289655848629,
        4.972309681888093,
        4.97233018473802,
        4.972350210777484,
        4.972370713627412,
        4.972390739666876,
        4.97241076570634,
        4.972431268556267,
        4.972451294595731,
        4.9724717974456585,
        4.9724918234851225,
        4.972511849524587,
        4.972532352374514,
        4.972552378413978,
        4.972572881263905,
        4.972592907303369,
        4.972612933342833,
        4.972633436192761,
        4.972653462232225,
        4.972673965082152,
        4.972693991121616,
        4.97271401716108,
        4.972734520011008,
        4.972754546050472,
        4.972774572089936,
        4.972795074939863,
        4.972815100979327,
        4.972835603829254,
        4.972855629868718,
        4.972875655908182,
        4.97289615875811,
        4.972916184797574,
        4.972936210837037,
        4.9729567136869655,
        4.9729767397264295,
        4.972996765765894,
        4.973017268615821,
        4.973037294655285,
        4.973057320694749,
        4.973077823544676,
        4.97309784958414,
        4.973117875623604,
        4.973137901663068,
        4.973158404512995,
        4.973178430552459,
        4.973198456591923,
        4.9732189594418506,
        4.973238985481315,
        4.973259011520779,
        4.973279037560243,
        4.97329954041017,
        4.973319566449634,
        4.973339592489098,
        4.973360095339026,
        4.97338012137849,
        4.973400147417954,
        4.973420173457417,
        4.973440676307345,
        4.973460702346809,
        4.973480728386273,
        4.9735007544257375,
        4.973521257275665,
        4.973541283315129,
        4.973561309354593,
        4.973581335394057,
        4.973601361433521,
        4.973621864283448,
        4.973641890322912,
        4.973661916362376,
        4.97368194240184,
        4.973702445251767,
        4.973722471291231,
        4.973742497330695,
        4.9737625233701594,
        4.9737825494096235,
        4.9738025754490875,
        4.973823078299015,
        4.973843104338479,
        4.973863130377943,
        4.973883156417407,
        4.973903182456871,
        4.973923685306798,
        4.973943711346262,
        4.973963737385726,
        4.97398376342519,
        4.974003789464654,
        4.974023815504118,
        4.974043841543582,
        4.9740643443935095,
        4.974084370432974,
        4.974104396472438,
        4.974124422511902,
        4.974144448551366,
        4.97416447459083,
        4.974184500630294,
        4.974205003480221,
        4.974225029519685,
        4.974245055559149,
        4.974265081598613,
        4.974285107638077,
        4.974305133677541,
        4.974325159717004,
        4.9743451857564684,
        4.9743652117959325,
        4.9743852378353965,
        4.974405740685325,
        4.974425766724789,
        4.974445792764252,
        4.974465818803716,
        4.97448584484318,
        4.974505870882644,
        4.974525896922108,
        4.974545922961572,
        4.974565949001036,
        4.9745859750405,
        4.974606001079964,
        4.974626027119428,
        4.974646053158892,
        4.974666079198356,
        4.97468610523782,
        4.9747061312772844,
        4.9747261573167485,
        4.974746660166676,
        4.97476668620614,
        4.974786712245604,
        4.974806738285068,
        4.974826764324532,
        4.974846790363996,
        4.974866816403459,
        4.974886842442923,
        4.974906868482387,
        4.974926894521851,
        4.974946920561315,
        4.974966946600779,
        4.974986972640243,
        4.975006998679707,
        4.9750270247191715,
        4.9750470507586355,
        4.9750670767981,
        4.9750866260271,
        4.975106652066564,
        4.975126678106028,
        4.975146704145492,
        4.975166730184956,
        4.97518675622442,
        4.975206782263884,
        4.975226808303348,
        4.975246834342812,
        4.975266860382276,
        4.97528688642174,
        4.975306912461204,
        4.975326938500668,
        4.975346964540132,
        4.975366990579596,
        4.97538701661906,
        4.9754070426585235,
        4.9754265918875245,
        4.9754466179269885,
        4.9754666439664526,
        4.975486670005917,
        4.975506696045381,
        4.975526722084845,
        4.975546748124309,
        4.975566774163773,
        4.975586800203237,
        4.975606349432237,
        4.975626375471701,
        4.975646401511165,
        4.975666427550629,
        4.975686453590093,
        4.975706479629557,
        4.975726505669021,
        4.975746531708485,
        4.975766080937485,
        4.975786106976949,
        4.975806133016413,
        4.975826159055877,
        4.9758461850953415,
        4.9758662111348055,
        4.9758857603638065,
        4.97590578640327,
        4.975925812442734,
        4.975945838482198,
        4.975965864521662,
        4.975985890561126,
        4.976005439790127,
        4.976025465829591,
        4.976045491869055,
        4.976065517908519,
        4.976085543947983,
        4.976105093176983,
        4.976125119216447,
        4.976145145255911,
        4.976165171295375,
        4.976185197334839,
        4.976204746563839,
        4.976224772603303,
        4.976244798642767,
        4.976742111956123,
        4.976762137995587,
        4.976781687224588,
        4.976801713264052,
        4.976821739303516,
        4.97684176534298,
        4.97686131457198,
        4.9768813406114445,
        4.976900889840445,
        4.9769209158799095,
        4.9769409419193735,
        4.976960491148374,
        4.976980517187838,
        4.977000543227302,
        4.977020092456303,
        4.977040118495767,
        4.97706014453523,
        4.977079693764231,
        4.977099719803695,
        4.977119745843159,
        4.97713929507216,
        4.977159321111623,
        4.977178870340624,
        4.977198896380088,
        4.977218922419552,
        4.977238471648552,
        4.977258497688016,
        4.977278046917017,
        4.977298072956481,
        4.977318098995945,
        4.977337648224945,
        4.977357674264409,
        4.97737722349341,
        4.977397249532874,
        4.977416798761874,
        4.977436824801338,
        4.977456850840802,
        4.977476400069803,
        4.977496426109267,
        4.977515975338267,
        4.9775360013777314,
        4.977555550606732,
        4.977575576646196,
        4.977595125875197,
        4.9776151519146605,
        4.977635177954125,
        4.9776547271831255,
        4.97767475322259,
        4.97769430245159,
        4.977714328491054,
        4.977733877720055,
        4.977753903759519,
        4.97777345298852,
        4.977793479027983,
        4.977813028256984,
        4.977833054296448,
        4.977852603525449,
        4.977872629564912,
        4.977892178793913,
        4.977912204833377,
        4.977931754062378,
        4.977951780101842,
        4.977971329330842,
        4.977991355370306,
        4.978010904599307,
        4.978030930638771,
        4.978050479867771,
        4.978070029096772,
        4.978090055136236,
        4.978109604365236,
        4.9781296304047,
        4.978149179633701,
        4.978169205673165,
        4.978188754902165,
        4.978208780941629,
        4.97822833017063,
        4.97824787939963,
        4.978267905439094,
        4.978287454668095,
        4.978307480707559,
        4.978327029936559,
        4.978347055976023,
        4.978366605205024,
        4.978386154434025,
        4.978406180473488,
        4.978425729702489,
        4.978445755741953,
        4.978465304970954,
        4.978484854199954,
        4.978504880239418,
        4.978524429468419,
        4.978544455507883,
        4.978564004736883,
        4.978583553965884,
        4.978603580005348,
        4.978623129234348,
        4.978642678463349,
        4.978662704502813,
        4.978682253731813,
        4.978701802960814,
        4.978721829000278,
        4.978741378229278,
        4.978760927458279,
        4.978780953497743,
        4.978800502726744,
        4.978820051955744,
        4.9788400779952084,
        4.978859627224209,
        4.978879176453209,
        4.9788992024926735,
        4.978918751721674,
        4.9789383009506745,
        4.9789583269901385,
        4.9789778762191395,
        4.9789974254481395,
        4.9790174514876036,
        4.9790370007166045,
        4.979056549945605,
        4.9790760991746055,
        4.9790961252140695,
        4.9791156744430705,
        4.9791352236720705,
        4.979155249711535,
        4.9791747989405355,
        4.9791943481695355,
        4.9792138973985365,
        4.9792339234380005,
        4.979253472667001,
        4.9792730218960015,
        4.9792925711250025,
        4.9793125971644665,
        4.9793321463934666,
        4.9793516956224675,
        4.9793712448514675,
        4.979391270890932,
        4.9794108201199325,
        4.979430369348933,
        4.9794499185779335,
        4.979469944617398,
        4.9794894938463985,
        4.9795090430753985,
        4.9795285923043995,
        4.9795481415333995,
        4.979568167572864,
        4.9795877168018645,
        4.979607266030865,
        4.9796268152598655,
        4.979646364488866,
        4.97966639052833,
        4.9796859397573305,
        4.9797054889863315,
        4.9797250382153315,
        4.9797445874443325,
        4.9797641366733325,
        4.979784162712797,
        4.9798037119417975,
        4.9798232611707975,
        4.9798428103997985,
        4.979862359628799,
        4.9798819088577995,
        4.9799019348972635,
        4.9799214841262645,
        4.9799410333552645,
        4.979960582584265,
        4.9799801318132655,
        4.979999681042266,
        4.980019230271267,
        4.980038779500267,
        4.9800588055397315,
        4.980078354768732,
        4.9800979039977324,
        4.980117453226733,
        4.980137002455733,
        4.980156551684734,
        4.980176100913735,
        4.980195650142735,
        4.980215199371736,
        4.9802352254112,
        4.9802547746402,
        4.980880826778682,
        4.980900376007683,
        4.980919925236683,
        4.980939474465684,
        4.980959023694685,
        4.980978096113222,
        4.980997645342222,
        4.981017194571223,
        4.981036743800224,
        4.981056293029224,
        4.981075842258225,
        4.981095391487225,
        4.981114940716226,
        4.981134489945226,
        4.981154039174227,
        4.9811735884032275,
        4.981193137632228,
        4.9812126868612285,
        4.981232236090229,
        4.9812517853192295,
        4.9812713345482305,
        4.981290406966767,
        4.981309956195767,
        4.981329505424768,
        4.981349054653769,
        4.981368603882769,
        4.98138815311177,
        4.98140770234077,
        4.981427251569771,
        4.981446800798771,
        4.981465873217309,
        4.981485422446309,
        4.98150497167531,
        4.98152452090431,
        4.981544070133311,
        4.981563619362312,
        4.981583168591312,
        4.981602717820313,
        4.98162179023885,
        4.981641339467851,
        4.981660888696851,
        4.981680437925852,
        4.981699987154852,
        4.981719536383853,
        4.98173860880239,
        4.981758158031391,
        4.981777707260391,
        4.981797256489392,
        4.981816805718392,
        4.981836354947393,
        4.98185542736593,
        4.981874976594931,
        4.981894525823931,
        4.981914075052932,
        4.9819336242819325,
        4.9819526967004695,
        4.9819722459294695,
        4.9819917951584705,
        4.982011344387471,
        4.982030416806008,
        4.982049966035008,
        4.982069515264009,
        4.982089064493009,
        4.98210861372201,
        4.982127686140547,
        4.982147235369548,
        4.982166784598548,
        4.982186333827549,
        4.982205406246086,
        4.982224955475087,
        4.982244504704087,
        4.982264053933088,
        4.982283126351625,
        4.982302675580626,
        4.982322224809626,
        4.982341774038627,
        4.982360846457164,
        4.982380395686165,
        4.982399944915165,
        4.982419017333703,
        4.982438566562703,
        4.982458115791704,
        4.982477665020704,
        4.9824967374392415,
        4.9825162866682415,
        4.9825358358972425,
        4.982554908315779,
        4.98257445754478,
        4.98259400677378,
        4.982613079192317,
        4.982632628421318,
        4.982652177650319,
        4.982671250068856,
        4.982690799297856,
        4.982710348526857,
        4.982729420945394,
        4.982748970174395,
        4.982768519403395,
        4.982787591821933,
        4.982807141050933,
        4.982826690279934,
        4.982845762698471,
        4.982865311927471,
        4.982884861156472,
        4.982903933575009,
        4.98292348280401,
        4.982942555222547,
        4.9829621044515475,
        4.982981653680548,
        4.9830007260990845,
        4.9830202753280854,
        4.983039824557086,
        4.983058896975623,
        4.983078446204623,
        4.983097518623161,
        4.983117067852161,
        4.983136617081162,
        4.983155689499699,
        4.9831752387287,
        4.983194311147237,
        4.983213860376237,
        4.983232932794775,
        4.983252482023775,
        4.983272031252776,
        4.983291103671313,
        4.983310652900314,
        4.983329725318851,
        4.983349274547851,
        4.9833683469663885,
        4.983387896195389,
        4.983406968613926,
        4.9834265178429265,
        4.983446067071927,
        4.983465139490464,
        4.983484688719464,
        4.983503761138002,
        4.983523310367002,
        4.98354238278554,
        4.98356193201454,
        4.983581004433077,
        4.983600553662078,
        4.983619626080615,
        4.983639175309616,
        4.983658247728153,
        4.983677796957154,
        4.983696869375691,
        4.983716418604691,
        4.9837354910232285,
        4.983755040252229,
        4.9837741126707655,
        4.9837936618997665,
        4.983812734318303,
        4.983832283547304,
        4.983851355965841,
        4.983870905194842,
        4.983889977613379,
        4.983909526842379,
        4.983928599260917,
        4.983947671679454,
        4.983967220908454,
        4.983986293326992,
        4.984005842555992,
        4.984024914974529,
        4.98404446420353,
        4.984063536622067,
        4.984082609040604,
        4.984102158269605,
        4.9841212306881415,
        4.984140779917142,
        4.984159852335679,
        4.98417940156468,
        4.984198473983217,
        4.984217546401754,
        4.984237095630755,
        4.984256168049292,
        4.984275717278292,
        4.98429478969683,
        4.984313862115367,
        4.984333411344368,
        4.984352483762905,
        4.984372032991905,
        4.984391105410443,
        4.9844101778289795,
        4.98442972705798,
        4.984448799476517,
        4.984467871895054,
        4.984487421124054,
        4.984506493542592,
        4.984525565961129,
        4.984545115190129,
        4.984564187608667,
        4.984583260027204,
        4.984602809256204,
        4.984621881674742,
        4.984641430903742,
        4.98466050332228,
        4.984679575740817,
        4.984698648159354,
        4.9847181973883545,
        4.9847372698068915,
        4.984756342225428,
        4.984775891454429,
        4.984794963872966,
        4.984814036291503,
        4.984833585520504,
        4.984852657939041,
        4.984871730357578,
        4.984891279586579,
        4.984910352005116,
        4.984929424423653,
        4.98494849684219,
        4.984968046071191,
        4.984987118489728,
        4.985006190908265,
        4.985025263326802,
        4.9850448125558025,
        4.985063884974339,
        4.985082957392877,
        4.985102506621877,
        4.985121579040414,
        4.985140651458952,
        4.985159723877489,
        4.985178796296026,
        4.985198345525027,
        4.985217417943564,
        4.985236490362101,
        4.985255562780638,
        4.985275112009639,
        4.9852941844281755,
        4.9853132568467124,
        4.98533232926525,
        4.98535187849425,
        4.985370950912787,
        4.985390023331325,
        4.985409095749862,
        4.985428168168399,
        4.9854477173974,
        4.985466789815937,
        4.985485862234474,
        4.985504934653011,
        4.9855240070715485,
        4.9855430794900855,
        4.9855626287190855,
        4.985581701137623,
        4.98560077355616,
        4.985619845974697,
        4.985638918393234,
        4.985657990811772,
        4.985677540040772,
        4.985696612459309,
        4.985715684877847,
        4.985734757296384,
        4.985753829714921,
        4.985772902133458,
        4.9857919745519945,
        4.9858115237809955,
        4.985830596199532,
        4.985849668618069,
        4.985868741036607,
        4.985887813455144,
        4.985906885873681,
        4.985925958292218,
        4.985945030710756,
        4.985964579939756,
        4.985983652358293,
        4.986002724776831,
        4.9860217971953675,
        4.9860408696139045,
        4.986059942032441,
        4.986079014450979,
        4.986098086869516,
        4.986117159288053,
        4.98613623170659,
        4.986155304125127,
        4.986174376543665,
        4.986193925772665,
        4.986212998191202,
        4.98623207060974,
        4.9862511430282765,
        4.9862702154468135,
        4.98628928786535,
        4.986308360283888,
        4.986327432702425,
        4.986346505120962,
        4.986365577539499,
        4.986384649958037,
        4.986403722376574,
        4.986422794795111,
        4.986441867213648,
        4.986460939632185,
        4.986480012050722,
        4.986499084469259,
        4.986518156887796,
        4.986537229306333,
        4.986556301724871,
        4.986575374143408,
        4.986594446561945,
        4.986613518980482,
        4.986632591399019,
        4.986651663817557,
        4.986670736236094,
        4.9866898086546305,
        4.9867088810731675,
        4.986727953491705,
        4.986747025910242,
        4.986766098328779,
        4.986785170747316,
        4.986804243165853,
        4.986823315584391,
        4.986842388002928,
        4.986861460421465,
        4.986880532840002,
        4.9868996052585395,
        4.986918677677076,
        4.986937750095613,
        4.986956345703687,
        4.986975418122224,
        4.986994490540761,
        4.987013562959299,
        4.987032635377836,
        4.987051707796373,
        4.98707078021491,
        4.9870898526334475,
        4.987108925051984,
        4.987127997470521,
        4.987147069889058,
        4.987166142307595,
        4.987184737915669,
        4.987203810334207,
        4.987222882752744,
        4.987241955171281,
        4.987261027589818,
        4.987280100008355,
        4.9872991724268925,
        4.987318244845429,
        4.987336840453503,
        4.98735591287204,
        4.987374985290577,
        4.987394057709114,
        4.987413130127652,
        4.987432202546189,
        4.987451274964726,
        4.9874698705728,
        4.9874889429913365,
        4.987508015409873,
        4.987527087828411,
        4.987546160246948,
        4.987565232665485,
        4.987583828273559,
        4.987602900692096,
        4.987621973110633,
        4.987641045529171,
        4.987660117947708,
        4.9876791903662445,
        4.987697785974318,
        4.987716858392855,
        4.987735930811392,
        4.98775500322993,
        4.987774075648467,
        4.987792671256541,
        4.987811743675078,
        4.987830816093615,
        4.987849888512152,
        4.987868484120225,
        4.987887556538763,
        4.9879066289573,
        4.987925701375837,
        4.987944773794374,
        4.987963369402448,
        4.987982441820985,
        4.988001514239523,
        4.98802058665806,
        4.988039182266133,
        4.98805825468467,
        4.988077327103207,
        4.988096399521744,
        4.988114995129818,
        4.988134067548355,
        4.988153139966893,
        4.988171735574966,
        4.988190807993504,
        4.9882098804120405,
        4.988228952830577,
        4.988247548438651,
        4.988266620857188,
        4.988285693275725,
        4.988304288883799,
        4.988323361302337,
        4.988342433720874,
        4.9883610293289475,
        4.9883801017474845,
        4.988399174166021,
        4.988418246584558,
        4.988436842192632,
        4.988455914611169,
        4.988474987029707,
        4.988493582637781,
        4.988512655056318,
        4.988531727474855,
        4.9885503230829285,
        4.988569395501465,
        4.988588467920002,
        4.988607063528076,
        4.988626135946613,
        4.988644731554687,
        4.988663803973225,
        4.988682876391762,
        4.9887014719998355,
        4.988720544418372,
        4.988739616836909,
        4.988758212444983,
        4.98877728486352,
        4.988795880471594,
        4.988814952890131,
        4.988834025308668,
        4.988852620916742,
        4.9888716933352795,
        4.988890765753816,
        4.98890936136189,
        4.988928433780427,
        4.988947029388501,
        4.988966101807038,
        4.988984697415112,
        4.989003769833649,
        4.989022842252186,
        4.989041437860259,
        4.989060510278796,
        4.98907910588687,
        4.989098178305408,
        4.989116773913481,
        4.989135846332019,
        4.989154918750556,
        4.9891735143586295,
        4.9891925867771665,
        4.98921118238524,
        4.989230254803777,
        4.989248850411851,
        4.989267922830388,
        4.989286518438462,
        4.989305590856999,
        4.989324186465073,
        4.9893432588836095,
        4.989361854491683,
        4.98938092691022,
        4.989399522518294,
        4.989418594936832,
        4.989437667355369,
        4.989456262963443,
        4.98947533538198,
        4.9894939309900534,
        4.98951300340859,
        4.989531599016664,
        4.989550194624738,
        4.989569267043275,
        4.989587862651349,
        4.989606935069886,
        4.9896255306779596,
        4.9896446030964965,
        4.98966319870457,
        4.989682271123107,
        4.989700866731181,
        4.989719939149718,
        4.989738534757792,
        4.989757607176329,
        4.989776202784403,
        4.989794798392476,
        4.989813870811013,
        4.989832466419087,
        4.989851538837624,
        4.989870134445698,
        4.989889206864236,
        4.989907802472309,
        4.9899268748908465,
        4.98994547049892,
        4.989964066106993,
        4.989983138525531,
        4.990001734133604,
        4.990020806552142,
        4.990039402160216,
        4.990057997768289,
        4.9900770701868264,
        4.9900956657949,
        4.990114738213437,
        4.990133333821511,
        4.990151929429584,
        4.990171001848122,
        4.990189597456196,
        4.9902081930642685,
        4.990227265482806,
        4.99024586109088,
        4.990264933509417,
        4.990283529117491,
        4.990302124725565,
        4.990321197144102,
        4.9903397927521755,
        4.9903583883602485,
        4.990377460778786,
        4.99039605638686,
        4.990414651994933,
        4.990433724413471,
        4.990452320021545,
        4.990470915629618,
        4.9904899880481555,
        4.990508583656229,
        4.990527179264302,
        4.99054625168284,
        4.990564847290913,
        4.9936545790939295,
        4.997194419974422,
        4.997216830066203,
        4.997238763347521,
        4.997261173439302,
        4.997283583531083,
        4.997305993622865,
        4.997327926904182,
        4.9973503369959635,
        4.997372747087744,
        4.997395157179525,
        4.997417090460844,
        4.997439500552624,
        4.997461910644406,
        4.997483843925723,
        4.997506254017504,
        4.997528664109286,
        4.997550597390603,
        4.9975730074823845,
        4.997595417574166,
        4.997617827665946,
        4.997639760947265,
        4.997662171039045,
        4.997684581130827,
        4.997706514412144,
        4.997728924503925,
        4.997751334595707,
        4.997773267877024,
        4.9977956779688055,
        4.997818088060587,
        4.997840021341904,
        4.997862431433686,
        4.997884841525466,
        4.9979067748067845,
        4.997929184898565,
        4.997951118179883,
        4.997973528271665,
        4.997995938363445,
        4.998017871644763,
        4.998040281736544,
        4.998062691828325,
        4.998084625109643,
        4.998107035201424,
        4.9981289684827415,
        4.998151378574523,
        4.998173788666304,
        4.998195721947622,
        4.998218132039403,
        4.99824006532072,
        4.998262475412502,
        4.998284408693819,
        4.998306818785601,
        4.998329228877382,
        4.998351162158699,
        4.998373572250481,
        4.998395505531798,
        4.9984179156235795,
        4.998439848904897,
        4.998462258996678,
        4.99848466908846,
        4.998506602369777,
        4.9985290124615585,
        4.998550945742876,
        4.998573355834657,
        4.998595289115975,
        4.998617699207756,
        4.998639632489073,
        4.998662042580855,
        4.998683975862172,
        4.998706385953954,
        4.998728319235272,
        4.998750729327052,
        4.998772662608371,
        4.998795072700151,
        4.998817005981469,
        4.99883941607325,
        4.998861349354568,
        4.998883759446349,
        4.998905692727667,
        4.998928102819448,
        4.998950036100766,
        4.998972446192547,
        4.9989943794738645,
        4.999016789565646,
        4.999038722846963,
        4.999060656128281,
        4.999083066220062,
        4.999104999501379,
        4.999127409593161,
        4.999149342874479,
        4.99917175296626,
        4.999193686247578,
        4.999216096339358,
        4.999238029620677,
        4.999259962901994,
        4.999282372993775,
        4.999304306275093,
        4.999326716366874,
        4.999348649648192,
        4.99937058292951,
        4.99939299302129,
        4.999414926302609,
        4.999437336394389,
        4.999459269675707,
        4.999481202957025,
        4.999503613048806,
        4.999525546330124,
        4.999547956421905,
        4.999569889703222,
        4.999591822984541,
        4.999614233076321,
        4.999636166357639,
        4.999658099638957,
        4.999680509730738,
        4.999702443012056,
        4.999724376293373,
        4.999746786385154,
        4.999768719666473,
        4.99979065294779,
        4.999813063039571,
        4.999834996320889,
        4.999856929602206,
        4.999879339693988,
        4.999901272975305,
        4.999923206256623,
        4.999945616348405,
        4.999967549629722,
        4.999989482911039,
        5.000011893002821,
        5.000033826284138,
        5.0000557595654564,
        5.000077692846774,
        5.000100102938555,
        5.000122036219873,
        5.00014396950119,
        5.000166379592971,
        5.00018831287429,
        5.000210246155607,
        5.000232179436924,
        5.000254589528706,
        5.000276522810023,
        5.0002984560913415,
        5.000320389372659,
        5.00034279946444,
        5.000364732745758,
        5.000386666027075,
        5.000408599308393,
        5.000431009400175,
        5.000452942681492,
        5.0004748759628095,
        5.000496809244128,
        5.000518742525445,
        5.0005411526172265,
        5.000563085898544,
        5.000585019179861,
        5.00060695246118,
        5.000628885742497,
        5.000651295834278,
        5.000673229115596,
        5.000695162396914,
        5.000717095678231,
        5.000739028959549,
        5.00076143905133,
        5.000783372332648,
        5.000805305613966,
        5.000827238895283,
        5.000849172176601,
        5.000871105457919,
        5.0008935155497,
        5.000915448831018,
        5.000937382112335,
        5.000959315393653,
        5.000981248674971,
        5.001003181956288,
        5.001025115237606,
        5.001047525329387,
        5.001069458610705,
        5.001091391892023,
        5.00111332517334,
        5.001135258454658,
        5.001157191735976,
        5.001179125017294,
        5.001201058298611,
        5.001222991579929,
        5.00124540167171,
        5.001267334953027,
        5.001289268234346,
        5.001311201515663,
        5.0013331347969805,
        5.001355068078299,
        5.001377001359616,
        5.001398934640934,
        5.001420867922252,
        5.001442801203569,
        5.0014647344848875,
        5.001486667766205,
        5.001508601047522,
        5.0015305343288405,
        5.001552467610158,
        5.001574877701939,
        5.001596810983257,
        5.001618744264574,
        5.001640677545892,
        5.00166261082721,
        5.001684544108528,
        5.001706477389845,
        5.001728410671163,
        5.001750343952481,
        5.0017722772337985,
        5.001794210515116,
        5.001816143796434,
        5.0018380770777515,
        5.001860010359069,
        5.001881943640387,
        5.001903876921705,
        5.001925810203023,
        5.00293235709132,
        5.002954290372638,
        5.002976223653955,
        5.002998156935273,
        5.003019613406127,
        5.003041546687445,
        5.0030634799687626,
        5.00308541325008,
        5.003107346531398,
        5.0031288030022525,
        5.00315073628357,
        5.003172669564888,
        5.0031946028462055,
        5.003216536127523,
        5.003237992598377,
        5.0032599258796955,
        5.003281859161013,
        5.00330379244233,
        5.0033252489131845,
        5.003347182194503,
        5.00336911547582,
        5.003391048757138,
        5.003412505227992,
        5.00343443850931,
        5.0034563717906275,
        5.003478305071946,
        5.0034997615428,
        5.0035216948241175,
        5.003543628105435,
        5.003565561386753,
        5.003587017857607,
        5.003608951138925,
        5.003630884420242,
        5.0036523408910965,
        5.003674274172415,
        5.003696207453732,
        5.003717663924586,
        5.003739597205904,
        5.003761530487222,
        5.003782986958076,
        5.003804920239394,
        5.003826853520711,
        5.003848786802029,
        5.003870243272884,
        5.003892176554201,
        5.003914109835519,
        5.003935566306374,
        5.003957499587691,
        5.003978956058545,
        5.004000889339863,
        5.004022822621181,
        5.004044279092035,
        5.004066212373353,
        5.00408814565467,
        5.004109602125524,
        5.0041315354068425,
        5.00415346868816,
        5.004174925159014,
        5.004196858440332,
        5.004218314911186,
        5.004240248192504,
        5.0042621814738215,
        5.004283637944676,
        5.004305571225994,
        5.004327027696848,
        5.004348960978166,
        5.004370894259483,
        5.004392350730337,
        5.004414284011656,
        5.00443574048251,
        5.004457673763827,
        5.004479130234682,
        5.004501063515999,
        5.004522996797317,
        5.0045444532681715,
        5.004566386549489,
        5.004587843020343,
        5.004609776301661,
        5.004631232772515,
        5.004653166053833,
        5.004674622524687,
        5.004696555806005,
        5.004718012276859,
        5.004739945558177,
        5.004761402029032,
        5.004783335310349,
        5.004805268591666,
        5.004826725062521,
        5.004848658343839,
        5.004870114814693,
        5.004892048096011,
        5.004913504566865,
        5.004935437848182,
        5.004956894319037,
        5.004978827600355,
        5.005000284071209,
        5.005021740542063,
        5.005043673823381,
        5.005065130294235,
        5.005087063575552,
        5.005108520046407,
        5.005130453327725,
        5.005151909798579,
        5.005173843079897,
        5.005195299550751,
        5.005217232832069,
        5.0052386893029235,
        5.005260145773778,
        5.005282079055095,
        5.005303535525949,
        5.005325468807267,
        5.005346925278121,
        5.005368858559439,
        5.005390315030294,
        5.005411771501148,
        5.005433704782465,
        5.00545516125332,
        5.005477094534637,
        5.005498551005491,
        5.0055200074763455,
        5.005541940757664,
        5.005563397228518,
        5.0055853305098355,
        5.00560678698069,
        5.005628243451544,
        5.005650176732861,
        5.005671633203716,
        5.005693566485034,
        5.005715022955888,
        5.0057364794267425,
        5.00575841270806,
        5.005779869178914,
        5.005801325649768,
        5.005823258931087,
        5.005844715401941,
        5.005866171872795,
        5.005888105154113,
        5.005909561624967,
        5.005931018095821,
        5.005952951377139,
        5.005974407847993,
        5.005995864318847,
        5.006017797600165,
        5.00603925407102,
        5.006060710541874,
        5.006082643823191,
        5.006104100294046,
        5.0061255567649,
        5.006147013235754,
        5.006168946517072,
        5.006190402987926,
        5.00621185945878,
        5.006233792740098,
        5.006255249210953,
        5.006276705681807,
        5.006298162152661,
        5.006320095433979,
        5.006341551904833,
        5.006363008375687,
        5.006384464846541,
        5.00640639812786,
        5.006427854598714,
        5.006449311069568,
        5.0064707675404225,
        5.00649270082174,
        5.006514157292594,
        5.0065356137634485,
        5.006557070234303,
        5.00657900351562,
        5.006600459986474,
        5.006621916457329,
        5.006643372928183,
        5.006664829399037,
        5.0066867626803555,
        5.00670821915121,
        5.006729675622064,
        5.006751132092918,
        5.006772588563773,
        5.00679452184509,
        5.006815978315944,
        5.0068374347867985,
        5.006858891257653,
        5.006880347728507,
        5.006901804199361,
        5.006923737480679,
        5.006945193951533,
        5.006966650422387,
        5.006988106893242,
        5.007009563364096,
        5.00703101983495,
        5.007052953116268,
        5.007074409587123,
        5.007095866057977,
        5.007117322528831,
        5.0071387789996855,
        5.00716023547054,
        5.007181691941394,
        5.007203148412248,
        5.007225081693566,
        5.00724653816442,
        5.007267994635274,
        5.0072894511061286,
        5.007310907576983,
        5.007332364047837,
        5.007353820518691,
        5.007375276989546,
        5.0073967334604,
        5.007418189931254,
        5.0074401232125725,
        5.007461579683427,
        5.007483036154281,
        5.007504492625135,
        5.00752594909599,
        5.007547405566844,
        5.007568862037698,
        5.007590318508552,
        5.007611774979407,
        5.007633231450261,
        5.007654687921115,
        5.0076761443919695,
        5.007697600862824,
        5.007719057333678,
        5.007740513804532,
        5.007761970275387,
        5.007783426746241,
        5.007804883217095,
        5.007826339687949,
        5.007847796158804,
        5.007869252629658,
        5.007890709100512,
        5.0079121655713665,
        5.007933622042221,
        5.007955078513075,
        5.007976534983929,
        5.007997991454784,
        5.008019447925638,
        5.008040904396492,
        5.0080623608673465,
        5.008083817338201,
        5.008105273809055,
        5.008126730279909,
        5.008148186750764,
        5.008169643221618,
        5.008191099692472,
        5.008212556163326,
        5.008234012634181,
        5.008255469105035,
        5.008276925575889,
        5.0082983820467435,
        5.008319838517598,
        5.008341294988452,
        5.008362751459306,
        5.008384207930161,
        5.008405187590551,
        5.008426644061405,
        5.008448100532259,
        5.008469557003114,
        5.008491013473968,
        5.008512469944822,
        5.0085339264156765,
        5.008555382886531,
        5.008576839357385,
        5.008598295828239,
        5.0086192754886305,
        5.008640731959485,
        5.008662188430339,
        5.008683644901193,
        5.008705101372048,
        5.008726557842902,
        5.008748014313756,
        5.00876947078461,
        5.008790450445002,
        5.008811906915856,
        5.00883336338671,
        5.008854819857564,
        5.008876276328419,
        5.008897732799273,
        5.008919189270127,
        5.0089401689305175,
        5.008961625401372,
        5.008983081872226,
        5.00900453834308,
        5.009025994813935,
        5.009046974474326,
        5.00906843094518,
        5.009089887416034,
        5.009111343886889,
        5.009132800357743,
        5.009153780018134,
        5.009175236488988,
        5.009196692959843,
        5.009218149430697,
        5.009239605901551,
        5.009260585561941,
        5.009282042032796,
        5.00930349850365,
        5.009324954974504,
        5.009345934634895,
        5.00936739110575,
        5.009388847576604,
        5.009410304047458,
        5.009431283707849,
        5.009452740178704,
        5.009474196649558,
        5.009495653120412,
        5.0095166327808025,
        5.009538089251657,
        5.009559545722511,
        5.009581002193365,
        5.0096019818537565,
        5.009623438324611,
        5.009644894795465,
        5.009666351266319,
        5.0096873309267105,
        5.009708787397565,
        5.009730243868419,
        5.009751223528809,
        5.009772679999664,
        5.009794136470518,
        5.009815116130909,
        5.009836572601763,
        5.009858029072618,
        5.009879008733009,
        5.009900465203863,
        5.009921921674717,
        5.009942901335108,
        5.009964357805962,
        5.009985814276816,
        5.010006793937207,
        5.0100282504080615,
        5.010049706878916,
        5.010070686539307,
        5.010092143010161,
        5.0101135994810155,
        5.010134579141406,
        5.01015603561226,
        5.010177492083114,
        5.0101984717435055,
        5.01021992821436,
        5.010240907874751,
        5.010262364345605,
        5.0102838208164595,
        5.01030480047685,
        5.010326256947704,
        5.010347236608095,
        5.0103686930789495,
        5.010390149549804,
        5.010411129210195,
        5.010432585681049,
        5.0104535653414395,
        5.010475021812294,
        5.010496001472685,
        5.010517457943539,
        5.0105389144143935,
        5.010559894074785,
        5.010581350545639,
        5.010602330206029,
        5.0106237866768835,
        5.010644766337275,
        5.010666222808129,
        5.01068720246852,
        5.010708658939374,
        5.010730115410229,
        5.010751095070619,
        5.010772551541473,
        5.010793531201864,
        5.010814987672719,
        5.01083596733311,
        5.010857423803964,
        5.010878403464354,
        5.010899859935209,
        5.0109208395956,
        5.010942296066454,
        5.010963275726844,
        5.010984732197699,
        5.01100571185809,
        5.011027168328944,
        5.011048147989335,
        5.0110696044601895,
        5.01109058412058,
        5.011112040591434,
        5.011133020251825,
        5.011154476722679,
        5.011175456383071,
        5.011196436043461,
        5.011217892514315,
        5.011238872174706,
        5.011260328645561,
        5.011281308305952,
        5.011302764776806,
        5.011323744437196,
        5.011345200908051,
        5.011366180568442,
        5.011387160228833,
        5.011408616699687,
        5.0114295963600775,
        5.011451052830932,
        5.011472032491323,
        5.011493012151714,
        5.011514468622568,
        5.011535448282959,
        5.011556904753813,
        5.011577884414204,
        5.011598864074595,
        5.0116203205454495,
        5.01164130020584,
        5.011662756676694,
        5.011683736337085,
        5.0117047159974755,
        5.01172617246833,
        5.011747152128721,
        5.011768131789112,
        5.011789588259966,
        5.011810567920357,
        5.011831547580748,
        5.011853004051602,
        5.011873983711993,
        5.0118954401828475,
        5.011916419843238,
        5.011937399503629,
        5.011958855974483,
        5.011979835634874,
        5.012000815295265,
        5.012021794955656,
        5.01204325142651,
        5.012064231086901,
        5.0120852107472915,
        5.012106667218146,
        5.012127646878537,
        5.012148626538928,
        5.012170083009782,
        5.012191062670173,
        5.012212042330564,
        5.012233021990955,
        5.012254478461809,
        5.0122754581221995,
        5.012296437782591,
        5.012317894253445,
        5.012338873913836,
        5.012359853574226,
        5.012380833234618,
        5.012402289705472,
        5.012423269365862,
        5.012444249026253,
        5.0124652286866445,
        5.012486685157499,
        5.012507664817889,
        5.01252864447828,
        5.012549624138671,
        5.012571080609526,
        5.012592060269916,
        5.012613039930307,
        5.012634019590698,
        5.0126549992510885,
        5.012676455721943,
        5.012697435382334,
        5.012718415042725,
        5.012739394703115,
        5.0127603743635065,
        5.012781830834361,
        5.012802810494752,
        5.012823790155142,
        5.012844769815533,
        5.012865749475924,
        5.012887205946779,
        5.012908185607169,
        5.01292916526756,
        5.0129501449279505,
        5.012971124588342,
        5.012992104248733,
        5.013013560719587,
        5.013034540379977,
        5.013055520040369,
        5.01307649970076,
        5.01309747936115,
        5.013118459021541,
        5.013139438681932,
        5.013160418342323,
        5.013181874813177,
        5.013202854473568,
        5.013223834133959,
        5.0132448137943495,
        5.013265793454741,
        5.013286773115132,
        5.013307752775522,
        5.013328732435913,
        5.0133497120963035,
        5.013371168567158,
        5.013392148227549,
        5.01341312788794,
        5.01343410754833,
        5.013455087208722,
        5.013476066869113,
        5.013497046529503,
        5.013518026189894,
        5.013539005850285,
        5.013559985510676,
        5.013580965171067,
        5.013601944831458,
        5.013622924491848,
        5.013643904152239,
        5.013665360623094,
        5.013686340283485,
        5.013707319943875,
        5.013728299604266,
        5.013749279264657,
        5.013770258925048,
        5.013791238585439,
        5.013812218245829,
        5.01383319790622,
        5.0138541775666114,
        5.013875157227002,
        5.013896136887393,
        5.013917116547784,
        5.013938096208174,
        5.0139590758685655,
        5.013980055528957,
        5.014001035189347,
        5.014022014849738,
        5.014042994510129,
        5.0140639741705195,
        5.014084953830911,
        5.014105933491302,
        5.014126913151692,
        5.014147892812083,
        5.014168872472474,
        5.014189375322402,
        5.014210354982792,
        5.014231334643183,
        5.014252314303574,
        5.0142732939639645,
        5.014294273624356,
        5.014315253284747,
        5.014336232945137,
        5.014357212605528,
        5.014378192265919,
        5.01439917192631,
        5.014420151586701,
        5.014441131247092,
        5.014462110907482,
        5.0144830905678734,
        5.014503593417801,
        5.014524573078192,
        5.014545552738582,
        5.014566532398973,
        5.014587512059364,
        5.014608491719755,
        5.014629471380146,
        5.014650451040537,
        5.014671430700927,
        5.014691933550855,
        5.014712913211246,
        5.014733892871637,
        5.014754872532028,
        5.014775852192418,
        5.014796831852809,
        5.0148178115132005,
        5.014838314363128,
        5.014859294023518,
        5.014880273683909,
        5.0149012533443,
        5.0149222330046905,
        5.014943212665082,
        5.014963715515009,
        5.0149846951754,
        5.015005674835791,
        5.0150266544961815,
        5.015047634156573,
        5.0150681370065,
        5.015089116666891,
        5.015110096327282,
        5.015131075987672,
        5.0151520556480635,
        5.015172558497991,
        5.015193538158382,
        5.015214517818772,
        5.015235497479163,
        5.0152564771395545,
        5.015276979989482,
        5.015297959649873,
        5.015318939310263,
        5.015339918970654,
        5.015360421820581,
        5.015381401480973,
        5.015402381141364,
        5.015423360801754,
        5.015443863651681,
        5.015464843312072,
        5.0154858229724635,
        5.015506802632854,
        5.015527305482782,
        5.015548285143172,
        5.015569264803563,
        5.015590244463954,
        5.015610747313882,
        5.015631726974273,
        5.015652706634663,
        5.015673209484591,
        5.015694189144981,
        5.0157151688053725,
        5.015736148465763,
        5.015756651315691,
        5.015777630976081,
        5.015798610636472,
        5.015819113486399,
        5.015840093146791,
        5.015861072807182,
        5.015881575657109,
        5.0159025553175,
        5.01592353497789,
        5.015944037827818,
        5.015965017488209,
        5.0159859971486,
        5.016006499998527,
        5.016027479658918,
        5.016048459319308,
        5.0160689621692365,
        5.016089941829627,
        5.016110444679555,
        5.016131424339945,
        5.016152404000336,
        5.016172906850263,
        5.016193886510655,
        5.018619421338115,
        5.0215856592311034,
        5.021606162081031,
        5.021626188120495,
        5.021646690970422,
        5.021667193820349,
        5.021687219859813,
        5.021707722709741,
        5.021728225559668,
        5.021748251599132,
        5.0217687544490595,
        5.021789257298987,
        5.021809283338451,
        5.021829786188379,
        5.021850289038306,
        5.02187031507777,
        5.021890817927697,
        5.021911320777624,
        5.021931346817088,
        5.021951849667016,
        5.0219723525169435,
        5.021992378556408,
        5.022012881406335,
        5.022032907445799,
        5.022053410295726,
        5.022073913145654,
        5.022093939185118,
        5.022114442035045,
        5.022134944884972,
        5.022154970924436,
        5.0221754737743645,
        5.022195499813828,
        5.022216002663756,
        5.022236505513683,
        5.022256531553147,
        5.022277034403074,
        5.022297060442538,
        5.022317563292466,
        5.022337589331929,
        5.022358092181857,
        5.0223785950317845,
        5.022398621071249,
        5.022419123921176,
        5.02243914996064,
        5.022459652810567,
        5.022479678850031,
        5.022500181699959,
        5.022520207739423,
        5.02254071058935,
        5.022561213439277,
        5.0225812394787415,
        5.022601742328669,
        5.022621768368133,
        5.022642271218061,
        5.022662297257525,
        5.022682800107452,
        5.022702826146916,
        5.022723328996843,
        5.022743355036307,
        5.022763857886234,
        5.022783883925698,
        5.0228043867756265,
        5.0228244128150905,
        5.022844915665018,
        5.022864941704482,
        5.022885444554409,
        5.022905470593873,
        5.0229259734438,
        5.022945999483264,
        5.022966502333192,
        5.022986528372655,
        5.023007031222583,
        5.0230270572620475,
        5.0230470833015115,
        5.023067586151439,
        5.023087612190903,
        5.02310811504083,
        5.023128141080294,
        5.023148643930221,
        5.023168669969685,
        5.023189172819613,
        5.023209198859077,
        5.023229224898541,
        5.0232497277484685,
        5.0232697537879325,
        5.02329025663786,
        5.023310282677324,
        5.023330308716788,
        5.023350811566715,
        5.023370837606179,
        5.023391340456106,
        5.02341136649557,
        5.023431392535034,
        5.023451895384962,
        5.023471921424426,
        5.0234924242743535,
        5.0235124503138175,
        5.023532476353282,
        5.023552979203209,
        5.023573005242673,
        5.023593031282137,
        5.023613534132064,
        5.023633560171528,
        5.023654063021455,
        5.023674089060919,
        5.023694115100383,
        5.023714617950311,
        5.0237346439897745,
        5.023754670029239,
        5.023775172879167,
        5.023795198918631,
        5.023815224958095,
        5.023835727808022,
        5.023855753847486,
        5.02387577988695,
        5.023895805926414,
        5.023916308776341,
        5.023936334815805,
        5.023956360855269,
        5.0239768637051965,
        5.0239968897446605,
        5.024016915784125,
        5.024037418634052,
        5.024057444673516,
        5.02407747071298,
        5.024097496752444,
        5.024117999602371,
        5.024138025641835,
        5.024158051681299,
        5.024178077720763,
        5.024198580570691,
        5.024218606610154,
        5.0242386326496185,
        5.0242586586890825,
        5.0242791615390106,
        5.024299187578475,
        5.024319213617939,
        5.024339239657402,
        5.02435974250733,
        5.024379768546794,
        5.024399794586258,
        5.024419820625722,
        5.024440323475649,
        5.024460349515113,
        5.024480375554577,
        5.024500401594041,
        5.024520427633505,
        5.0245409304834325,
        5.024560956522897,
        5.024580982562361,
        5.024601008601825,
        5.024621034641289,
        5.024641060680753,
        5.02466156353068,
        5.024681589570144,
        5.024701615609608,
        5.024721641649072,
        5.024741667688536,
        5.024761693728,
        5.024782196577927,
        5.024802222617391,
        5.0248222486568555,
        5.0248422746963195,
        5.0248623007357835,
        5.024882326775248,
        5.024902829625175,
        5.024922855664639,
        5.024942881704103,
        5.024962907743567,
        5.024982933783031,
        5.025002959822495,
        5.025022985861958,
        5.025043011901422,
        5.025063037940886,
        5.025083540790814,
        5.025103566830278,
        5.0251235928697415,
        5.025143618909206,
        5.02516364494867,
        5.025183670988134,
        5.025203697027598,
        5.025223723067062,
        5.025243749106526,
        5.02526377514599,
        5.025283801185454,
        5.025304304035381,
        5.025324330074845,
        5.025344356114309,
        5.025364382153773,
        5.025384408193237,
        5.025404434232701,
        5.025424460272165,
        5.025444486311629,
        5.0254645123510935,
        5.0254845383905575,
        5.025504564430022,
        5.025524590469486,
        5.02554461650895,
        5.025564642548413,
        5.025584668587877,
        5.025604694627341,
        5.025624720666805,
        5.025644746706269,
        5.025664772745733,
        5.025684798785197,
        5.025704824824661,
        5.025724850864125,
        5.025744876903589,
        5.025764902943053,
        5.025784928982517,
        5.025804955021981,
        5.0258249810614455,
        5.0258450071009095,
        5.025865033140374,
        5.025885059179837,
        5.025905085219301,
        5.025925111258765,
        5.025945137298229,
        5.025965163337693,
        5.025985189377157,
        5.026005215416621,
        5.026025241456085,
        5.026045267495549,
        5.026065293535013,
        5.026084842764013,
        5.026104868803477,
        5.026124894842941,
        5.026144920882405,
        5.026164946921869,
        5.0261849729613335,
        5.0262049990007975,
        5.026225025040262,
        5.026245051079726,
        5.02626507711919,
        5.026285103158654,
        5.026305129198118,
        5.026324678427118,
        5.026344704466582,
        5.026364730506046,
        5.02638475654551,
        5.026404782584974,
        5.026424808624438,
        5.026444834663902,
        5.026464860703366,
        5.026484409932367,
        5.02650443597183,
        5.026524462011294,
        5.026544488050758,
        5.026564514090222,
        5.0265845401296865,
        5.0266045661691505,
        5.0266241153981515,
        5.0266441414376155,
        5.02666416747708,
        5.026684193516544,
        5.026704219556007,
        5.026724245595471,
        5.026743794824472,
        5.026763820863936,
        5.0267838469034,
        5.026803872942864,
        5.026823898982328,
        5.026843448211328,
        5.026863474250792,
        5.026883500290256,
        5.02690352632972,
        5.026923552369184,
        5.026943101598185,
        5.026963127637649,
        5.026983153677113,
        5.027003179716576,
        5.027022728945577,
        5.027042754985041,
        5.027062781024505,
        5.0270828070639695,
        5.0271028331034335,
        5.027122382332434,
        5.027142408371898,
        5.027162434411362,
        5.027181983640363,
        5.027202009679827,
        5.027222035719291,
        5.027242061758755,
        5.027261610987755,
        5.027281637027219,
        5.027301663066683,
        5.027321689106147,
        5.027341238335148,
        5.027361264374612,
        5.027381290414075,
        5.027400839643076,
        5.02742086568254,
        5.027440891722004,
        5.027460917761468,
        5.027480466990468,
        5.027500493029932,
        5.027520519069396,
        5.027540068298397,
        5.027560094337861,
        5.027580120377325,
        5.027599669606325,
        5.0276196956457895,
        5.0276397216852535,
        5.0276592709142545,
        5.0276792969537185,
        5.027699322993183,
        5.027718872222183,
        5.027738898261647,
        5.027758924301111,
        5.027778473530112,
        5.027798499569576,
        5.027818048798576,
        5.02783807483804,
        5.027858100877504,
        5.027877650106505,
        5.027897676145969,
        5.028647222194477,
        5.029952729243345,
        5.0299722784723455,
        5.0299918277013465,
        5.0300113769303465,
        5.0300314029698106,
        5.0300509521988115,
        5.0300705014278115,
        5.0300900506568125,
        5.0301100766962765,
        5.030129625925277,
        5.0301491751542775,
        5.0301687243832784,
        5.0301887504227425,
        5.0302082996517425,
        5.0302278488807435,
        5.0302473981097435,
        5.0302669473387445,
        5.0302869733782085,
        5.030306522607209,
        5.0303260718362095,
        5.03034562106521,
        5.0303651702942105,
        5.0303851963336745,
        5.0304047455626755,
        5.0304242947916755,
        5.0304438440206765,
        5.0304633932496765,
        5.030482942478677,
        5.0305029685181415,
        5.0305225177471415,
        5.0305420669761425,
        5.030561616205143,
        5.0305811654341435,
        5.030600714663144,
        5.0306207407026085,
        5.0306402899316085,
        5.030659839160609,
        5.03067938838961,
        5.03069893761861,
        5.030718486847611,
        5.030738036076611,
        5.0307580621160755,
        5.030777611345076,
        5.030797160574076,
        5.030816709803077,
        5.030836259032078,
        5.030855808261078,
        5.030875357490079,
        5.030894906719079,
        5.03091445594808,
        5.03093400517708,
        5.030954031216544,
        5.030973580445545,
        5.030993129674546,
        5.031012678903546,
        5.031032228132547,
        5.031051777361547,
        5.031071326590548,
        5.031090875819548,
        5.031110425048549,
        5.03112997427755,
        5.03114952350655,
        5.031169072735551,
        5.031188621964551,
        5.031208171193552,
        5.031227720422552,
        5.031247269651553,
        5.031266818880554,
        5.031286844920018,
        5.031306394149018,
        5.031325943378019,
        5.031345492607019,
        5.03136504183602,
        5.031384591065021,
        5.031404140294021,
        5.031423689523022,
        5.031443238752022,
        5.031462787981023,
        5.031482337210023,
        5.031501886439024,
        5.031521435668025,
        5.031540984897025,
        5.031560534126026,
        5.031580083355026,
        5.031599632584027,
        5.031619181813027,
        5.031638254231565,
        5.031657803460565,
        5.031677352689566,
        5.031696901918566,
        5.031716451147567,
        5.031736000376568,
        5.031755549605568,
        5.031775098834569,
        5.031794648063569,
        5.03181419729257,
        5.031833746521571,
        5.031853295750571,
        5.0318728449795715,
        5.031892394208572,
        5.0319119434375725,
        5.031931492666573,
        5.0319510418955735,
        5.0319701143141105,
        5.031989663543111,
        5.032009212772111,
        5.032028762001112,
        5.032048311230113,
        5.032067860459113,
        5.032087409688114,
        5.032106958917114,
        5.032126508146115,
        5.032145580564652,
        5.032165129793653,
        5.032184679022653,
        5.032204228251654,
        5.032223777480654,
        5.032243326709655,
        5.032262875938656,
        5.032282425167656,
        5.032301497586193,
        5.032321046815194,
        5.032340596044195,
        5.032360145273195,
        5.032379694502196,
        5.032399243731196,
        5.032418316149734,
        5.032437865378734,
        5.032457414607735,
        5.032476963836735,
        5.032496513065736,
        5.032516062294736,
        5.032535134713274,
        5.032554683942274,
        5.032574233171275,
        5.032593782400275,
        5.032613331629276,
        5.0326324040478125,
        5.0326519532768135,
        5.0326715025058135,
        5.0326910517348145,
        5.032710124153351,
        5.032729673382352,
        5.032749222611352,
        5.032768771840353,
        5.032788321069354,
        5.032807393487891,
        5.032826942716891,
        5.032846491945892,
        5.032866041174893,
        5.03288511359343,
        5.03290466282243,
        5.032924212051431,
        5.032943761280431,
        5.032962833698969,
        5.032982382927969,
        5.03300193215697,
        5.03302148138597,
        5.033040553804508,
        5.033060103033508,
        5.033079652262509,
        5.033098724681046,
        5.033118273910047,
        5.033137823139047,
        5.033157372368048,
        5.0331764447865845,
        5.0331959940155855,
        5.0332155432445855,
        5.0332346156631225,
        5.033254164892123,
        5.033273714121124,
        5.033292786539661,
        5.033312335768661,
        5.033331884997662,
        5.033350957416199,
        5.0333705066452,
        5.0333900558742,
        5.033409128292738,
        5.033428677521738,
        5.033448226750739,
        5.033467299169276,
        5.033486848398277,
        5.033506397627277,
        5.033525470045814,
        5.033545019274815,
        5.033564091693352,
        5.033583640922353,
        5.033603190151353,
        5.0336222625698905,
        5.033641811798891,
        5.0336613610278915,
        5.0336804334464285,
        5.033699982675429,
        5.033719055093966,
        5.033738604322966,
        5.033758153551967,
        5.033777225970504,
        5.033796775199505,
        5.033815847618042,
        5.033835396847043,
        5.033854946076043,
        5.03387401849458,
        5.033893567723581,
        5.033912640142118,
        5.033932189371119,
        5.033951261789656,
        5.033970811018657,
        5.033989883437194,
        5.034009432666194,
        5.034028981895195,
        5.034048054313732,
        5.0340676035427325,
        5.0340866759612695,
        5.03410622519027,
        5.034125297608807,
        5.034144846837807,
        5.034163919256345,
        5.034183468485345,
        5.034202540903882,
        5.034222090132883,
        5.03424116255142,
        5.034260711780421,
        5.034279784198958,
        5.034299333427959,
        5.034318405846496,
        5.034337955075496,
        5.034357027494034,
        5.034376576723034,
        5.034395649141571,
        5.034415198370572,
        5.0344342707891085,
        5.0344538200181095,
        5.034472892436646,
        5.034492441665647,
        5.034511514084184,
        5.034531063313184,
        5.034550135731722,
        5.034569684960722,
        5.034588757379259,
        5.034607829797797,
        5.034627379026797,
        5.034646451445334,
        5.034666000674335,
        5.034685073092872,
        5.034704622321873,
        5.03472369474041,
        5.034743243969411,
        5.034762316387948,
        5.0347813888064845,
        5.0348009380354855,
        5.034820010454022,
        5.034839559683023,
        5.03485863210156,
        5.034877704520097,
        5.034897253749098,
        5.034916326167635,
        5.034935875396635,
        5.034954947815173,
        5.03497402023371,
        5.03499356946271,
        5.035012641881248,
        5.035031714299785,
        5.035051263528785,
        5.035070335947323,
        5.035089885176323,
        5.0351089575948595,
        5.035128030013397,
        5.035147579242397,
        5.035166651660935,
        5.035185724079472,
        5.035205273308472,
        5.03522434572701,
        5.035243418145547,
        5.035262967374547,
        5.035282039793085,
        5.035301112211622,
        5.035320661440622,
        5.03533973385916,
        5.035358806277697,
        5.035378355506697,
        5.0353974279252345,
        5.035416500343771,
        5.035435572762308,
        5.035455121991309,
        5.035474194409846,
        5.035493266828383,
        5.035512816057384,
        5.035531888475921,
        5.035550960894458,
        5.035570510123459,
        5.035589582541996,
        5.035608654960533,
        5.03562772737907,
        5.035647276608071,
        5.035666349026608,
        5.0356854214451445,
        5.035704493863682,
        5.035724043092682,
        5.035743115511219,
        5.035762187929757,
        5.035781260348294,
        5.035800809577295,
        5.035819881995832,
        5.035838954414369,
        5.035858026832906,
        5.035877099251443,
        5.035896648480444,
        5.035915720898981,
        5.035934793317518,
        5.035953865736055,
        5.0359734149650555,
        5.035992487383592,
        5.03601155980213,
        5.036030632220667,
        5.036049704639204,
        5.036069253868205,
        5.036088326286742,
        5.036107398705279,
        5.036126471123816,
        5.036145543542354,
        5.036164615960891,
        5.036184165189891,
        5.0362032376084285,
        5.036222310026965,
        5.036241382445502,
        5.036260454864039,
        5.036279527282577,
        5.036299076511577,
        5.036318148930114,
        5.036337221348652,
        5.036356293767189,
        5.036375366185726,
        5.036394438604263,
        5.0364135110228005,
        5.0364325834413375,
        5.0364521326703375,
        5.036471205088875,
        5.036490277507412,
        5.036509349925949,
        5.036528422344486,
        5.036547494763023,
        5.036566567181561,
        5.036585639600098,
        5.036604712018635,
        5.036624261247636,
        5.036643333666173,
        5.03666240608471,
        5.0366814785032465,
        5.036700550921784,
        5.036719623340321,
        5.036738695758858,
        5.036757768177395,
        5.036776840595933,
        5.03679591301447,
        5.036814985433007,
        5.036834057851544,
        5.036853130270081,
        5.036872202688619,
        5.0368912751071555,
        5.036910824336156,
        5.036929896754693,
        5.03694896917323,
        5.036968041591767,
        5.036987114010304,
        5.037006186428842,
        5.037025258847379,
        5.037044331265916,
        5.037063403684453,
        5.03708247610299,
        5.037101548521528,
        5.0371206209400645,
        5.0371396933586015,
        5.037158765777138,
        5.037177838195676,
        5.037196910614213,
        5.03721598303275,
        5.037235055451287,
        5.037254127869825,
        5.037273200288362,
        5.037292272706899,
        5.037311345125436,
        5.037330417543973,
        5.037349013152046,
        5.037368085570584,
        5.037387157989121,
        5.037406230407658,
        5.037425302826195,
        5.037444375244732,
        5.03746344766327,
        5.037482520081807,
        5.037501592500344,
        5.037520664918881,
        5.037539737337418,
        5.037558809755955,
        5.037577882174492,
        5.037596954593029,
        5.037616027011566,
        5.037635099430104,
        5.037653695038178,
        5.037672767456715,
        5.037691839875252,
        5.037710912293789,
        5.037729984712326,
        5.037749057130863,
        5.0377681295494,
        5.037787201967937,
        5.037806274386474,
        5.037824869994548,
        5.037843942413085,
        5.037863014831623,
        5.03788208725016,
        5.037901159668697,
        5.037920232087234,
        5.037939304505771,
        5.037958376924308,
        5.037976972532382,
        5.037996044950919,
        5.038015117369456,
        5.038034189787993,
        5.038053262206531,
        5.038072334625068,
        5.038090930233142,
        5.0381100026516785,
        5.0381290750702155,
        5.038148147488752,
        5.03816721990729,
        5.038185815515363,
        5.038204887933901,
        5.038223960352438,
        5.038243032770975,
        5.038262105189512,
        5.03828117760805,
        5.0382997732161225,
        5.03831884563466,
        5.038337918053197,
        5.038356990471734,
        5.038375586079808,
        5.038394658498345,
        5.038413730916882,
        5.03843280333542,
        5.038451875753957,
        5.0384704713620305,
        5.0384895437805675,
        5.038508616199104,
        5.038527688617641,
        5.038546284225715,
        5.038565356644253,
        5.03858442906279,
        5.038603501481327,
        5.038622097089401,
        5.038641169507938,
        5.0386602419264745,
        5.038678837534548,
        5.038697909953085,
        5.038716982371623,
        5.03873605479016,
        5.038754650398234,
        5.038773722816771,
        5.038792795235308,
        5.038811390843382,
        5.0388304632619185,
        5.038849535680456,
        5.038868608098993,
        5.042152640165856,
        5.0460050303051265,
        5.046027440396907,
        5.046050327299152,
        5.046072737390933,
        5.046095147482714,
        5.046117557574496,
        5.046139967666276,
        5.046162854568521,
        5.046185264660302,
        5.046207674752083,
        5.046230084843865,
        5.046252494935645,
        5.046274905027427,
        5.046297791929671,
        5.046320202021453,
        5.046342612113234,
        5.0463650222050145,
        5.046387432296796,
        5.046409842388577,
        5.046432252480358,
        5.046455139382602,
        5.046477549474384,
        5.046499959566165,
        5.046522369657946,
        5.046544779749727,
        5.046567189841508,
        5.04658959993329,
        5.04661201002507,
        5.046634896927316,
        5.046657307019096,
        5.0466797171108775,
        5.046702127202659,
        5.046724537294439,
        5.046746947386221,
        5.046769357478002,
        5.0467917675697835,
        5.046814177661564,
        5.046836587753345,
        5.04685947465559,
        5.046881884747371,
        5.046904294839152,
        5.046926704930933,
        5.046949115022715,
        5.046971525114496,
        5.0469939352062765,
        5.047016345298058,
        5.047038755389839,
        5.04706116548162,
        5.047083575573401,
        5.0471059856651825,
        5.047128395756964,
        5.047150805848744,
        5.047173215940526,
        5.047195626032307,
        5.047218036124089,
        5.047240446215869,
        5.0472628563076505,
        5.047285266399432,
        5.047307676491212,
        5.047330086582994,
        5.047352496674775,
        5.0473749067665565,
        5.047397316858337,
        5.047419726950118,
        5.0474421370419,
        5.04746454713368,
        5.047486957225462,
        5.047509367317243,
        5.0475317774090245,
        5.047554187500805,
        5.047576597592586,
        5.047599007684368,
        5.047621417776148,
        5.04764382786793,
        5.047666237959711,
        5.047688648051492,
        5.047711058143273,
        5.047733468235054,
        5.047755878326836,
        5.047778288418616,
        5.0478002216999345,
        5.047822631791715,
        5.047845041883496,
        5.047867451975278,
        5.047889862067059,
        5.04791227215884,
        5.047934682250621,
        5.047957092342402,
        5.047979502434183,
        5.048001912525964,
        5.048024322617746,
        5.048046255899063,
        5.0480686659908445,
        5.048091076082626,
        5.048113486174406,
        5.048135896266188,
        5.048158306357969,
        5.0481807164497505,
        5.048203126541531,
        5.048225059822849,
        5.04824746991463,
        5.048269880006411,
        5.048292290098193,
        5.048314700189973,
        5.0483371102817545,
        5.048359520373536,
        5.048381453654853,
        5.048403863746635,
        5.048426273838416,
        5.0484486839301965,
        5.048471094021978,
        5.048493027303296,
        5.048515437395077,
        5.048537847486858,
        5.0485602575786395,
        5.04858266767042,
        5.048605077762201,
        5.048627011043519,
        5.0486494211353,
        5.0486718312270815,
        5.048694241318863,
        5.04871617460018,
        5.048738584691962,
        5.048760994783742,
        5.048783404875524,
        5.048805814967305,
        5.048827748248622,
        5.048850158340404,
        5.048872568432185,
        5.048894978523966,
        5.048916911805284,
        5.048939321897064,
        5.048961731988846,
        5.048984142080627,
        5.049006075361945,
        5.049028485453726,
        5.049050895545507,
        5.049073305637288,
        5.049095238918606,
        5.049117649010387,
        5.049140059102168,
        5.049161992383485,
        5.049184402475267,
        5.049206812567048,
        5.04922922265883,
        5.049251155940147,
        5.049273566031928,
        5.049295976123709,
        5.049317909405027,
        5.049340319496808,
        5.049362729588589,
        5.049384662869907,
        5.049407072961688,
        5.049429483053469,
        5.049451416334787,
        5.049473826426568,
        5.049496236518349,
        5.049518169799667,
        5.049540579891448,
        5.0495629899832295,
        5.049584923264547,
        5.049607333356328,
        5.049629743448109,
        5.049651676729427,
        5.0496740868212076,
        5.049696020102526,
        5.049718430194307,
        5.049740840286088,
        5.049762773567406,
        5.0497851836591865,
        5.049807593750968,
        5.049829527032285,
        5.049851937124067,
        5.049873870405384,
        5.049896280497165,
        5.049918690588947,
        5.049940623870264,
        5.049963033962046,
        5.049984967243363,
        5.050007377335144,
        5.050029310616462,
        5.050051720708243,
        5.0500741308000245,
        5.050096064081342,
        5.050118474173123,
        5.050140407454441,
        5.050162817546222,
        5.0501847508275395,
        5.050207160919321,
        5.050229094200638,
        5.05025150429242,
        5.050273914384201,
        5.050295847665518,
        5.0503182577573,
        5.050340191038617,
        5.050362601130399,
        5.050384534411716,
        5.050406944503497,
        5.050428877784815,
        5.050451287876596,
        5.050473221157914,
        5.050495631249695,
        5.050517564531013,
        5.050539974622794,
        5.050561907904112,
        5.0505843179958925,
        5.050606251277211,
        5.050628661368991,
        5.0506505946503095,
        5.050673004742091,
        5.050694938023408,
        5.050716871304726,
        5.050739281396507,
        5.0507612146778245,
        5.050783624769606,
        5.050805558050923,
        5.050827968142705,
        5.050849901424022,
        5.050872311515803,
        5.050894244797122,
        5.050916654888902,
        5.0509385881702205,
        5.050960521451538,
        5.050982931543319,
        5.051004864824637,
        5.051027274916418,
        5.051049208197735,
        5.051071141479053,
        5.051093551570834,
        5.0511154848521524,
        5.051137894943933,
        5.051159828225251,
        5.051181761506569,
        5.05120417159835,
        5.051226104879667,
        5.051248514971449,
        5.051270448252766,
        5.051292381534084,
        5.051314791625865,
        5.051336724907183,
        5.051358658188501,
        5.051381068280282,
        5.051403001561599,
        5.051425411653381,
        5.051447344934698,
        5.0514692782160155,
        5.051491688307797,
        5.051513621589115,
        5.051535554870433,
        5.051557964962214,
        5.051579898243531,
        5.051601831524849,
        5.05162424161663,
        5.0516461748979475,
        5.051668108179266,
        5.051690041460583,
        5.051712451552365,
        5.051734384833682,
        5.051756318115,
        5.051778728206781,
        5.051800661488099,
        5.051822594769416,
        5.051845004861198,
        5.051866938142515,
        5.051888871423833,
        5.051910804705151,
        5.051933214796932,
        5.05195514807825,
        5.051977081359567,
        5.051999014640885,
        5.052021424732666,
        5.052043358013984,
        5.0520652912953015,
        5.052087224576619,
        5.0521096346684,
        5.052131567949718,
        5.052153501231036,
        5.052175434512353,
        5.052197844604135,
        5.052219777885452,
        5.05224171116677,
        5.052263644448088,
        5.052286054539869,
        5.0523079878211865,
        5.052329921102504,
        5.052351854383822,
        5.05237378766514,
        5.052396197756921,
        5.052418131038238,
        5.052440064319557,
        5.052461997600874,
        5.052483930882191,
        5.05250586416351,
        5.05252827425529,
        5.052550207536608,
        5.052572140817926,
        5.052594074099243,
        5.0526160073805615,
        5.052637940661879,
        5.05266035075366,
        5.052682284034978,
        5.052704217316296,
        5.052726150597613,
        5.052748083878931,
        5.052770017160249,
        5.052791950441566,
        5.052814360533348,
        5.052836293814665,
        5.0528582270959825,
        5.052880160377301,
        5.052902093658618,
        5.0529240269399365,
        5.052945960221254,
        5.052967893502571,
        5.052990303594353,
        5.05301223687567,
        5.053034170156988,
        5.053056103438306,
        5.053078036719623,
        5.053099970000941,
        5.053121903282259,
        5.053143836563576,
        5.053165769844894,
        5.053187703126212,
        5.05320963640753,
        5.0532315696888475,
        5.053253502970165,
        5.053275913061946,
        5.053297846343264,
        5.053319779624582,
        5.053341712905899,
        5.053363646187217,
        5.053385579468535,
        5.053407512749852,
        5.053429446031171,
        5.053451379312488,
        5.053473312593805,
        5.053495245875124,
        5.053517179156441,
        5.053539112437758,
        5.053561045719077,
        5.053582979000394,
        5.0536049122817115,
        5.05362684556303,
        5.053648778844347,
        5.0536707121256645,
        5.053692645406983,
        5.0537145786883,
        5.0537365119696185,
        5.053758445250936,
        5.053780378532253,
        5.0538023118135715,
        5.053824245094889,
        5.053846178376206,
        5.053868111657525,
        5.053890044938842,
        5.053911978220159,
        5.053933911501478,
        5.053955844782795,
        5.053977778064113,
        5.053999234534968,
        5.054021167816285,
        5.054043101097602,
        5.054065034378921,
        5.054086967660238,
        5.054108900941555,
        5.054130834222874,
        5.054152767504191,
        5.0541747007855085,
        5.054196634066827,
        5.054218567348144,
        5.0542405006294615,
        5.054261957100316,
        5.054283890381634,
        5.0543058236629514,
        5.05432775694427,
        5.054349690225587,
        5.0543716235069045,
        5.054393556788223,
        5.05441549006954,
        5.0544374233508576,
        5.054458879821712,
        5.05448081310303,
        5.0545027463843475,
        5.054524679665665,
        5.054546612946983,
        5.0545685462283005,
        5.054590002699155,
        5.054611935980473,
        5.0546338692617905,
        5.054655802543108,
        5.054677735824426,
        5.0546996691057435,
        5.054721125576598,
        5.054743058857915,
        5.0547649921392335,
        5.054786925420551,
        5.054808858701868,
        5.0548307919831865,
        5.054852248454041,
        5.054874181735358,
        5.0548961150166765,
        5.054918048297994,
        5.054939981579311,
        5.0549614380501655,
        5.054983371331484,
        5.055005304612801,
        5.055027237894119,
        5.055048694364973,
        5.055070627646291,
        5.0550925609276085,
        5.055114494208926,
        5.05513595067978,
        5.055157883961098,
        5.055179817242416,
        5.055201750523733,
        5.0552232069945875,
        5.055245140275906,
        5.055267073557223,
        5.055289006838541,
        5.055310463309396,
        5.055332396590713,
        5.0553543298720305,
        5.055376263153349,
        5.055397719624203,
        5.05541965290552,
        5.055441586186838,
        5.055463042657692,
        5.05548497593901,
        5.055506909220328,
        5.055528365691182,
        5.055550298972499,
        5.055572232253818,
        5.055594165535135,
        5.055615622005989,
        5.055637555287308,
        5.055659488568625,
        5.055680945039479,
        5.055702878320797,
        5.055724811602115,
        5.055746268072969,
        5.055768201354287,
        5.055790134635604,
        5.055811591106458,
        5.055833524387777,
        5.055854980858631,
        5.055876914139948,
        5.055898847421266,
        5.05592030389212,
        5.055942237173438,
        5.0559641704547555,
        5.05598562692561,
        5.056007560206928,
        5.056029016677782,
        5.0560509499591,
        5.056072883240417,
        5.056094339711271,
        5.05611627299259,
        5.056137729463444,
        5.056159662744761,
        5.056181596026079,
        5.056203052496933,
        5.056224985778251,
        5.056246442249106,
        5.056268375530423,
        5.05629030881174,
        5.056311765282595,
        5.056333698563913,
        5.056355155034767,
        5.056377088316085,
        5.056398544786939,
        5.056420478068257,
        5.056441934539111,
        5.056463867820429,
        5.056485801101746,
        5.0565072575726004,
        5.056529190853919,
        5.056550647324773,
        5.05657258060609,
        5.056594037076945,
        5.056615970358262,
        5.056637426829116,
        5.056659360110435,
        5.056680816581289,
        5.056702749862606,
        5.0567242063334605,
        5.056746139614778,
        5.056767596085632,
        5.0567895293669505,
        5.056810985837805,
        5.056832919119122,
        5.056854375589976,
        5.056876308871295,
        5.056897765342149,
        5.056919698623466,
        5.056941155094321,
        5.056962611565175,
        5.056984544846492,
        5.057006001317347,
        5.057027934598665,
        5.057049391069519,
        5.0570713243508365,
        5.057092780821691,
        5.057114714103008,
        5.057136170573862,
        5.057157627044717,
        5.057179560326035,
        5.057201016796889,
        5.057222950078207,
        5.057244406549061,
        5.057266339830378,
        5.057287796301233,
        5.057309252772087,
        5.057331186053405,
        5.057352642524259,
        5.057374575805577,
        5.057396032276431,
        5.057417488747285,
        5.057439422028604,
        5.057460878499458,
        5.057482334970312,
        5.05750426825163,
        5.057525724722484,
        5.057547658003801,
        5.0575691144746555,
        5.05759057094551,
        5.057612504226828,
        5.057633960697682,
        5.057655417168537,
        5.057677350449854,
        5.057698806920708,
        5.0577202633915626,
        5.05774219667288,
        5.057763653143734,
        5.0577851096145885,
        5.057807042895907,
        5.057828499366761,
        5.057849955837615,
        5.057871889118933,
        5.057893345589787,
        5.057914802060641,
        5.057936735341959,
        5.057958191812813,
        5.057979648283667,
        5.0580011047545215,
        5.05802303803584,
        5.058044494506694,
        5.058065950977548,
        5.058087884258866,
        5.05810934072972,
        5.058130797200574,
        5.0581522536714285,
        5.058174186952747,
        5.058195643423601,
        5.058217099894455,
        5.05823855636531,
        5.058260489646627,
        5.058281946117481,
        5.0583034025883356,
        5.05832485905919,
        5.058346792340507,
        5.0583682488113615,
        5.058389705282216,
        5.05841116175307,
        5.058433095034388,
        5.058454551505243,
        5.058476007976097,
        5.058497464446951,
        5.058518920917805,
        5.058540854199123,
        5.058562310669977,
        5.058583767140831,
        5.058605223611686,
        5.05862668008254,
        5.058648613363857,
        5.058670069834712,
        5.058691526305566,
        5.05871298277642,
        5.058734439247274,
        5.058755895718129,
        5.058777828999447,
        5.058799285470301,
        5.0588207419411555,
        5.05884219841201,
        5.058863654882864,
        5.058885111353718,
        5.058907044635036,
        5.05892850110589,
        5.058949957576744,
        5.0589714140475985,
        5.058992870518453,
        5.059014326989307,
        5.059035783460161,
        5.059057239931016,
        5.059079173212334,
        5.059100629683188,
        5.0591220861540425,
        5.059143542624897,
        5.059164999095751,
        5.059186455566605,
        5.05920791203746,
        5.059229368508314,
        5.059250824979168,
        5.059272281450022,
        5.059293737920877,
        5.059315671202194,
        5.059337127673048,
        5.059358584143903,
        5.059380040614757,
        5.059401497085611,
        5.059422953556465,
        5.05944441002732,
        5.059465866498174,
        5.059487322969028,
        5.0595087794398825,
        5.059530235910737,
        5.059551692381591,
        5.059573148852445,
        5.0595946053233,
        5.059616061794154,
        5.059637518265008,
        5.0596589747358625,
        5.059680431206717,
        5.059701887677571,
        5.0601310170946565,
        5.060152473565511,
        5.060173930036365,
        5.060195386507219,
        5.060216842978074,
        5.060238299448928,
        5.060259279109319,
        5.060280735580173,
        5.060302192051028,
        5.060323648521882,
        5.060345104992736,
        5.06036656146359,
        5.060388017934445,
        5.060409474405299,
        5.060430930876153,
        5.0604523873470075,
        5.060473367007399,
        5.060494823478253,
        5.060516279949107,
        5.0605377364199615,
        5.060559192890816,
        5.06058064936167,
        5.060602105832524,
        5.060623562303379,
        5.060644541963769,
        5.060665998434623,
        5.0606874549054774,
        5.060708911376332,
        5.060730367847186,
        5.06075182431804,
        5.0607732807888945,
        5.060794260449286,
        5.06081571692014,
        5.060837173390994,
        5.0608586298618485,
        5.060880086332703,
        5.060901065993094,
        5.060922522463948,
        5.0609439789348025,
        5.060965435405657,
        5.060986891876511,
        5.061007871536901,
        5.061029328007756,
        5.06105078447861,
        5.061072240949464,
        5.0610936974203184,
        5.06111467708071,
        5.061136133551564,
        5.061157590022418,
        5.061179046493272,
        5.061200502964127,
        5.061221482624518,
        5.061242939095372,
        5.061264395566226,
        5.061285852037081,
        5.061306831697471,
        5.061328288168325,
        5.0613497446391795,
        5.061371201110034,
        5.061392180770425,
        5.061413637241279,
        5.0614350937121335,
        5.061456073372525,
        5.061477529843379,
        5.061498986314233,
        5.0615204427850875,
        5.061541422445478,
        5.061562878916332,
        5.061584335387186,
        5.0616053150475775,
        5.061626771518432,
        5.061648227989286,
        5.061669207649676,
        5.061690664120531,
        5.061712120591385,
        5.061733577062239,
        5.06175455672263,
        5.061776013193485,
        5.061797469664339,
        5.06181844932473,
        5.061839905795584,
        5.061861362266439,
        5.061882341926829,
        5.061903798397683,
        5.061924778058074,
        5.061946234528929,
        5.061967690999783,
        5.061988670660174,
        5.062010127131028,
        5.0620315836018825,
        5.062052563262273,
        5.062074019733127,
        5.062095476203981,
        5.0621164558643725,
        5.062137912335227,
        5.062158891995618,
        5.062180348466472,
        5.0622018049373265,
        5.062222784597717,
        5.062244241068571,
        5.062265220728962,
        5.0622866771998165,
        5.062308133670671,
        5.062329113331062,
        5.062350569801916,
        5.0623715494623065,
        5.062393005933161,
        5.062413985593552,
        5.062435442064406,
        5.062456421724797,
        5.062477878195652,
        5.062499334666506,
        5.062520314326896,
        5.0625417707977505,
        5.062562750458142,
        5.062584206928996,
        5.062605186589387,
        5.062626643060241,
        5.062647622720632,
        5.062669079191486,
        5.062690058851877,
        5.062711515322731,
        5.0627324949831225,
        5.062753951453977,
        5.062774931114367,
        5.062796387585221,
        5.0628173672456125,
        5.062838823716467,
        5.062859803376858,
        5.062881259847712,
        5.0629022395081025,
        5.062923695978957,
        5.062944675639348,
        5.062966132110202,
        5.0629871117705925,
        5.063008568241447,
        5.063029547901838,
        5.063051004372692,
        5.063071984033083,
        5.063093440503938,
        5.063114420164328,
        5.063135876635182,
        5.063156856295573,
        5.0631778359559645,
        5.063199292426819,
        5.063220272087209,
        5.063241728558063,
        5.0632627082184545,
        5.063284164689309,
        5.0633051443497,
        5.06332612401009,
        5.0633475804809445,
        5.063368560141336,
        5.06339001661219,
        5.063410996272581,
        5.063431975932971,
        5.063453432403826,
        5.063474412064217,
        5.063495868535071,
        5.063516848195462,
        5.0635378278558525,
        5.063559284326707,
        5.063580263987098,
        5.063601243647489,
        5.063622700118343,
        5.063643679778734,
        5.063665136249588,
        5.063686115909979,
        5.06370709557037,
        5.0637285520412245,
        5.063749531701615,
        5.063770511362006,
        5.06379196783286,
        5.0638129474932505,
        5.063833927153642,
        5.063855383624496,
        5.063876363284887,
        5.063897342945277,
        5.063918799416132,
        5.063939779076523,
        5.063960758736914,
        5.063981738397304,
        5.0640031948681585,
        5.06402417452855,
        5.064045154188941,
        5.064066610659795,
        5.064087590320185,
        5.064108569980577,
        5.064129549640968,
        5.064151006111822,
        5.064171985772212,
        5.064192965432603,
        5.064214421903458,
        5.064235401563849,
        5.064256381224239,
        5.06427736088463,
        5.064298817355485,
        5.064319797015876,
        5.064340776676266,
        5.064361756336657,
        5.0643832128075115,
        5.064404192467902,
        5.064425172128293,
        5.064446151788684,
        5.064467131449074,
        5.064488587919929,
        5.06450956758032,
        5.064530547240711,
        5.064551526901101,
        5.0645729833719555,
        5.064593963032347,
        5.064614942692738,
        5.064635922353128,
        5.064656902013519,
        5.0646783584843735,
        5.064699338144765,
        5.064720317805155,
        5.064741297465546,
        5.064762277125937,
        5.064783256786328,
        5.064804713257182,
        5.064825692917573,
        5.064846672577964,
        5.0648676522383544,
        5.064888631898746,
        5.064909611559136,
        5.06493106802999,
        5.064952047690381,
        5.0649730273507725,
        5.064994007011163,
        5.065014986671554,
        5.065035966331945,
        5.065056945992335,
        5.0650779256527265,
        5.065099382123581,
        5.065120361783972,
        5.065141341444362,
        5.065162321104753,
        5.065183300765145,
        5.065204280425535,
        5.065225260085926,
        5.065246239746317,
        5.065267219406707,
        5.065288199067099,
        5.065309655537953,
        5.065330635198343,
        5.065351614858734,
        5.0653725945191255,
        5.065393574179516,
        5.065414553839907,
        5.065435533500298,
        5.065456513160688,
        5.0654774928210795,
        5.065498472481471,
        5.065519452141861,
        5.065540431802252,
        5.065561411462643,
        5.0655823911230335,
        5.065603370783425,
        5.065624350443816,
        5.065645330104206,
        5.065666309764597,
        5.0656872894249885,
        5.065708269085379,
        5.06572924874577,
        5.06575022840616,
        5.065771208066551,
        5.0657921877269425,
        5.065813167387333,
        5.065834147047724,
        5.065855126708115,
        5.065876106368505,
        5.0658970860288965,
        5.065918065689288,
        5.065939045349678,
        5.065960025010069,
        5.06598100467046,
        5.066001984330851,
        5.066022963991242,
        5.066043943651633,
        5.066064923312023,
        5.066085902972414,
        5.066106882632805,
        5.066127862293196,
        5.066148841953587,
        5.066169821613977,
        5.066190801274368,
        5.0662117809347595,
        5.06623276059515,
        5.066253740255541,
        5.066274719915932,
        5.066295222765859,
        5.0663162024262505,
        5.066337182086641,
        5.066358161747032,
        5.066379141407423,
        5.066400121067813,
        5.0664211007282045,
        5.066442080388596,
        5.066463060048986,
        5.066484039709377,
        5.066504542559304,
        5.066525522219695,
        5.066546501880086,
        5.066567481540477,
        5.066588461200868,
        5.066609440861258,
        5.0666304205216495,
        5.066651400182041,
        5.066671903031968,
        5.066692882692359,
        5.066713862352749,
        5.06673484201314,
        5.066755821673532,
        5.066776801333922,
        5.066797304183849,
        5.06681828384424,
        5.066839263504631,
        5.066860243165022,
        5.066881222825413,
        5.066902202485804,
        5.066922705335731,
        5.066943684996122,
        5.0669646646565125,
        5.066985644316904,
        5.067006623977295,
        5.067027126827222,
        5.067048106487613,
        5.067069086148003,
        5.067090065808395,
        5.067110568658322,
        5.067131548318713,
        5.067152527979103,
        5.067173507639494,
        5.0671944872998855,
        5.067214990149813,
        5.067235969810204,
        5.067256949470594,
        5.067277929130985,
        5.0672984319809125,
        5.067319411641304,
        5.067340391301695,
        5.067361370962085,
        5.067381873812012,
        5.067402853472403,
        5.0674238331327945,
        5.067444335982722,
        5.067465315643113,
        5.067486295303503,
        5.067507274963894,
        5.0675277778138215,
        5.067548757474213,
        5.067569737134604,
        5.067590239984531,
        5.067611219644922,
        5.067632199305312,
        5.0676531789657036,
        5.067673681815631,
        5.067694661476022,
        5.067715641136412,
        5.06773614398634,
        5.0677571236467305,
        5.067778103307122,
        5.067798606157049,
        5.06781958581744,
        5.067840565477831,
        5.067861068327758,
        5.0678820479881495,
        5.06790302764854,
        5.067923530498468,
        5.067944510158858,
        5.067965013008785,
        5.067985992669176,
        5.0680069723295675,
        5.068027475179495,
        5.068048454839886,
        5.068069434500276,
        5.068089937350204,
        5.0681109170105945,
        5.0681314198605225,
        5.068152399520913,
        5.068173379181304,
        5.068193882031231,
        5.068214861691622,
        5.068235364541549,
        5.068256344201941,
        5.068277323862331,
        5.068297826712259,
        5.068318806372649,
        5.068339309222577,
        5.0683602888829675,
        5.068380791732896,
        5.068401771393286,
        5.068422751053677,
        5.068443253903604,
        5.068464233563995,
        5.0684847364139225,
        5.068505716074314,
        5.068526218924241,
        5.068547198584632,
        5.068567701434559,
        5.06858868109495,
        5.0686091839448775,
        5.068630163605269,
        5.068650666455196,
        5.068671646115587,
        5.068692148965514,
        5.068713128625904,
        5.0687336314758324,
        5.068754611136223,
        5.068775113986151,
        5.068796093646541,
        5.068816596496469,
        5.068837576156859,
        5.068858079006787,
        5.068879058667178,
        5.068899561517106,
        5.068920541177496,
        5.068941044027423,
        5.068962023687814,
        5.0689825265377415,
        5.069003506198133,
        5.06902400904806,
        5.069044988708451,
        5.069065491558378,
        5.069085994408306,
        5.0691069740686965,
        5.0691274769186245,
        5.069148456579015,
        5.069168959428942,
        5.069189939089333,
        5.06921044193926,
        5.0692314215996515,
        5.069251924449579,
        5.069272427299507,
        5.069293406959897,
        5.069313909809825,
        5.069334889470215,
        5.069355392320143,
        5.0693758951700705,
        5.069396874830461,
        5.069417377680389,
        5.069438357340779,
        5.069458860190707,
        5.069479363040634,
        5.0695003427010255,
        5.069520845550953,
        5.06954134840088,
        5.069562328061271,
        5.069582830911198,
        5.069603333761125,
        5.069624313421516,
        5.069644816271444,
        5.069665795931835,
        5.069686298781762,
        5.06970680163169,
        5.06972778129208,
        5.069748284142008,
        5.0697687869919354,
        5.069789766652327,
        5.069810269502254,
        5.069830772352181,
        5.069851275202108,
        5.069872254862499,
        5.069892757712426,
        5.0699132605623545,
        5.069934240222745,
        5.069954743072673,
        5.0699752459226,
        5.069996225582991,
        5.070016728432918,
        5.0700372312828454,
        5.070057734132773,
        5.070078713793164,
        5.070099216643091,
        5.070119719493019,
        5.070140699153409,
        5.070161202003337,
        5.0701817048532645,
        5.070202207703192,
        5.070223187363583,
        5.07024369021351,
        5.070264193063437,
        5.070284695913365,
        5.070305675573755,
        5.0703261784236835,
        5.070346681273611,
        5.070367184123538,
        5.070387686973466,
        5.070408666633856,
        5.070429169483783,
        5.070449672333711,
        5.0704701751836385,
        5.070490678033566,
        5.070511657693957,
        5.070532160543884,
        5.070552663393812,
        5.070573166243739,
        5.070593669093666,
        5.0706146487540575,
        5.070635151603985,
        5.070655654453912,
        5.07067615730384,
        5.070696660153767,
        5.070717639814158,
        5.070738142664085,
        5.070758645514013,
        5.07077914836394,
        5.070799651213868,
        5.070820154063795,
        5.070840656913722,
        5.070861636574113,
        5.07088213942404,
        5.0709026422739685,
        5.070923145123896,
        5.070943647973823,
        5.07096415082375,
        5.070984653673678,
        5.071005156523605,
        5.071026136183996,
        5.0710466390339235,
        5.071067141883851,
        5.071087644733779,
        5.071108147583706,
        5.071128650433633,
        5.07114915328356,
        5.071169656133488,
        5.071190158983415,
        5.071210661833343,
        5.071231641493734,
        5.071252144343661,
        5.071272647193589,
        5.071293150043516,
        5.071313652893443,
        5.07133415574337,
        5.0713546585932985,
        5.071375161443226,
        5.071395664293153,
        5.071416167143081,
        5.071436669993008,
        5.071457172842935,
        5.071477675692863,
        5.07149817854279,
        5.0715186813927176,
        5.071539184242645,
        5.071559687092573,
        5.0715801899425,
        5.071600692792427,
        5.071621195642355,
        5.071641698492282,
        5.0716622013422095,
        5.071682704192137,
        5.071703207042065,
        5.071723709891992,
        5.071744212741919,
        5.071764715591847,
        5.071785218441774,
        5.071805721291701,
        5.0718262241416285,
        5.071846726991557,
        5.071867229841484,
        5.071887732691411,
        5.071908235541339,
        5.071928738391266,
        5.071949241241193,
        5.071969744091121,
        5.0719902469410485,
        5.072010749790976,
        5.072031252640903,
        5.072051755490831,
        5.072072258340758,
        5.072092761190685,
        5.072113264040613,
        5.07213376689054,
        5.0721537929300045,
        5.072174295779932,
        5.072194798629859,
        5.072215301479787,
        5.072235804329714,
        5.072256307179641,
        5.072276810029569,
        5.072297312879496,
        5.0723178157294235,
        5.072338318579351,
        5.072358344618815,
        5.072378847468743,
        5.07239935031867,
        5.072419853168597,
        5.072440356018525,
        5.072460858868452,
        5.0724813617183795,
        5.072501864568307,
        5.072521890607771,
        5.072542393457699,
        5.072562896307626,
        5.072583399157553,
        5.072603902007481,
        5.072624404857408,
        5.072644430896872,
        5.0726649337467995,
        5.072685436596727,
        5.072705939446655,
        5.072726442296582,
        5.072746945146509,
        5.072766971185973,
        5.0727874740359,
        5.072807976885828,
        5.0728284797357555,
        5.072848982585683,
        5.072869008625147,
        5.072889511475075,
        5.072910014325002,
        5.072930517174929,
        5.072951020024856,
        5.07297104606432,
        5.072991548914248,
        5.0730120517641755,
        5.073032554614103,
        5.073052580653567,
        5.073073083503495,
        5.073093586353422,
        5.073114089203349,
        5.073134115242813,
        5.07315461809274,
        5.073175120942668,
        5.0731956237925955,
        5.0732156498320595,
        5.073236152681987,
        5.073256655531914,
        5.073277158381842,
        5.073297184421306,
        5.073317687271233,
        5.07333819012116,
        5.073358216160624,
        5.0733787190105515,
        5.0733992218604795,
        5.073419724710407,
        5.073439750749871,
        5.073460253599798,
        5.073480756449726,
        5.07350078248919,
        5.073521285339117,
        5.073541788189044,
        5.073561814228508,
        5.0735823170784355,
        5.073602819928364,
        5.073622845967828,
        5.073643348817755,
        5.073663851667682,
        5.073683877707146,
        5.073704380557073,
        5.073724883407001,
        5.073744909446465,
        5.073765412296392,
        5.07378591514632,
        5.073805941185784,
        5.073826444035711,
        5.073846946885639,
        5.073866972925103,
        5.07388747577503,
        5.073907501814494,
        5.073928004664421,
        5.0739485075143484,
        5.0739685335538125,
        5.0739890364037405,
        5.074009062443205,
        5.074029565293132,
        5.074050068143059,
        5.074070094182523,
        5.07409059703245,
        5.074110623071914,
        5.074131125921842,
        5.074151151961306,
        5.0741716548112334,
        5.074192157661161,
        5.074212183700625,
        5.074232686550552,
        5.074252712590016,
        5.074273215439944,
        5.074293241479408,
        5.074313744329335,
        5.074334247179262,
        5.074354273218726,
        5.0743747760686535,
        5.0743948021081176,
        5.074415304958046,
        5.07443533099751,
        5.074455833847437,
        5.074475859886901,
        5.074496362736828,
        5.074516388776292,
        5.074536891626219,
        5.074556917665683,
        5.074577420515611,
        5.074597446555075,
        5.0746179494050025,
        5.074637975444467,
        5.074658478294394,
        5.074678504333858,
        5.074699007183785,
        5.074719033223249,
        5.074739536073176,
        5.07475956211264,
        5.074780064962568,
        5.074800091002032,
        5.074820117041496,
        5.0748406198914235,
        5.074860645930888,
        5.074881148780815,
        5.074901174820279,
        5.074921677670206,
        5.07494170370967,
        5.074962206559598,
        5.074982232599062,
        5.075002258638525,
        5.075022761488453,
        5.075042787527917,
        5.0750632903778445,
        5.075083316417309,
        5.075103819267236,
        5.0751238453067,
        5.075143871346164,
        5.075164374196091,
        5.075184400235555,
        5.075204903085483,
        5.075224929124947,
        5.07524495516441,
        5.075265458014338,
        5.075285484053802,
        5.0753055100932665,
        5.075326012943194,
        5.075346038982658,
        5.075366541832585,
        5.075386567872049,
        5.075406593911513,
        5.07542709676144,
        5.075447122800904,
        5.075467148840368,
        5.075487651690296,
        5.075507677729759,
        5.0755277037692235,
        5.0755482066191515,
        5.075568232658616,
        5.07558825869808,
        5.075608761548007,
        5.075628787587471,
        5.075648813626935,
        5.075669316476862,
        5.075689342516326,
        5.07570936855579,
        5.075729394595254,
        5.075749897445181,
        5.075769923484645,
        5.0757899495241094,
        5.075810452374037,
        5.075830478413501,
        5.075850504452965,
        5.075870530492429,
        5.075891033342356,
        5.07591105938182,
        5.075931085421284,
        5.075951588271212,
        5.075971614310675,
        5.075991640350139,
        5.076011666389603,
        5.076032169239531,
        5.076052195278995,
        5.0760722213184595,
        5.076092247357923,
        5.076112750207851,
        5.076132776247315,
        5.076152802286779,
        5.076172828326243,
        5.076192854365707,
        5.076213357215634,
        5.076233383255098,
        5.076253409294562,
        5.076273435334026,
        5.07629346137349,
        5.076313964223417,
        5.0763339902628815,
        5.0763540163023455,
        5.07637404234181,
        5.076394068381274,
        5.076414571231201,
        5.076434597270665,
        5.076454623310129,
        5.076474649349593,
        5.076494675389057,
        5.076514701428521,
        5.076535204278448,
        5.076555230317912,
        5.076575256357376,
        5.07659528239684,
        5.076615308436304,
        5.076635334475768,
        5.076655360515232,
        5.07667586336516,
        5.076695889404624,
        5.076715915444088,
        5.076735941483552,
        5.076755967523016,
        5.076775993562479,
        5.076796019601943,
        5.076816045641407,
        5.076836548491335,
        5.076856574530799,
        5.076876600570263,
        5.076896626609726,
        5.0769166526491905,
        5.0769366786886545,
        5.0769567047281186,
        5.076976730767583,
        5.076996756807047,
        5.077016782846511,
        5.077036808885975,
        5.077056834925439,
        5.077077337775366,
        5.07709736381483,
        5.077117389854294,
        5.077137415893758,
        5.077157441933222,
        5.077177467972686,
        5.07719749401215,
        5.077217520051614,
        5.077237546091078,
        5.077257572130542,
        5.0772775981700065,
        5.0772976242094705,
        5.077317650248934,
        5.077337676288398,
        5.077357702327862,
        5.077377728367326,
        5.07739775440679,
        5.077417780446254,
        5.077437806485718,
        5.077457832525182,
        5.077477858564646,
        5.07749788460411,
        5.077517910643574,
        5.077537936683038,
        5.077557962722502,
        5.077577988761966,
        5.07759801480143,
        5.077618040840894,
        5.077638066880358,
        5.077658092919822,
        5.077678118959286,
        5.07769814499875,
        5.077718171038214,
        5.077738197077678,
        5.077758223117142,
        5.077778249156606,
        5.077797798385607,
        5.077817824425071,
        5.077837850464534,
        5.077857876503998,
        5.077877902543462,
        5.077897928582926,
        5.07791795462239,
        5.077937980661854,
        5.077958006701318,
        5.077978032740782,
        5.0779980587802465,
        5.0780180848197105,
        5.0780376340487114,
        5.078057660088175,
        5.078077686127639,
        5.078097712167103,
        5.078117738206567,
        5.078137764246031,
        5.078157790285495,
        5.078177816324959,
        5.07819736555396,
        5.078217391593424,
        5.078237417632888,
        5.078257443672351,
        5.078277469711815,
        5.078297495751279,
        5.078317521790743,
        5.078337071019744,
        5.078357097059208,
        5.078377123098672,
        5.078397149138136,
        5.0784171751776,
        5.078437201217064,
        5.0784567504460645,
        5.0784767764855285,
        5.078496802524993,
        5.078516828564457,
        5.078536854603921,
        5.078556403832921,
        5.078576429872385,
        5.078596455911849,
        5.078616481951313,
        5.078636507990777,
        5.078656057219778,
        5.078676083259242,
        5.078696109298706,
        5.07871613533817,
        5.078736161377634,
        5.078755710606634,
        5.078775736646098,
        5.078795762685562,
        5.078815788725026,
        5.078835337954027,
        5.07885536399349,
        5.078875390032954,
        5.0788954160724185,
        5.078914965301419,
        5.078934991340883,
        5.0789550173803475,
        5.0789750434198115,
        5.078994592648812,
        5.079014618688276,
        5.07903464472774,
        5.079054193956741,
        5.079074219996205,
        5.079094246035669,
        5.079114272075133,
        5.079133821304133,
        5.079153847343597,
        5.079173873383061,
        5.079193422612062,
        5.079213448651526,
        5.079233474690989,
        5.07925302391999,
        5.079273049959454,
        5.079293075998918,
        5.079312625227919,
        5.079332651267382,
        5.079352677306846,
        5.079372226535847,
        5.079392252575311,
        5.079412278614775,
        5.079431827843775,
        5.079451853883239,
        5.079471879922703,
        5.079491429151704,
        5.079511455191168,
        5.0795314812306325,
        5.0795510304596325,
        5.079571056499097,
        5.0795906057280975,
        5.079610631767562,
        5.079630657807026,
        5.079650207036026,
        5.07967023307549,
        5.079689782304491,
        5.079709808343955,
        5.079729834383419,
        5.079749383612419,
        5.079769409651883,
        5.079788958880884,
        5.079808984920348,
        5.079829010959812,
        5.079848560188812,
        5.079868586228276,
        5.079888135457277,
        5.079908161496741,
        5.079927710725741,
        5.079947736765205,
        5.079967762804669,
        5.07998731203367,
        5.080007338073134,
        5.080026887302134,
        5.080046913341598,
        5.080066462570599,
        5.080086488610063,
        5.080106037839063,
        5.080126063878527,
        5.080145613107528,
        5.080165639146992,
        5.080185188375992,
        5.080205214415456,
        5.080224763644457,
        5.080244789683921,
        5.080264338912921,
        5.0802843649523854,
        5.080303914181386,
        5.08032394022085,
        5.0803434894498505,
        5.0803635154893145,
        5.0803830647183155,
        5.0804030907577795,
        5.08042263998678,
        5.080442666026244,
        5.0804622152552446,
        5.080482241294709,
        5.0805017905237095,
        5.080521816563173,
        5.080541365792174,
        5.080560915021175,
        5.080580941060639,
        5.080600490289639,
        5.080620516329103,
        5.080640065558104,
        5.080660091597568,
        5.080679640826568,
        5.080699666866032,
        5.080719216095033,
        5.080738765324033,
        5.080758791363497,
        5.080778340592498,
        5.083386017016988,
        5.086625944115983,
        5.086645016534521,
        5.086664088953058,
        5.086683638182058,
        5.086702710600596,
        5.086721783019133,
        5.086741332248134,
        5.086760404666671,
        5.086779477085208,
        5.086799026314209,
        5.086818098732746,
        5.0868371711512825,
        5.0868567203802835,
        5.08687579279882,
        5.086894865217357,
        5.086914414446358,
        5.086933486864895,
        5.086952559283432,
        5.086971631701969,
        5.08699118093097,
        5.087010253349507,
        5.087029325768044,
        5.087048874997045,
        5.087067947415582,
        5.087087019834119,
        5.0871060922526565,
        5.087125641481657,
        5.0871447139001935,
        5.087163786318731,
        5.087182858737268,
        5.087202407966268,
        5.087221480384806,
        5.087240552803343,
        5.08725962522188,
        5.087279174450881,
        5.087298246869418,
        5.087317319287955,
        5.087336391706492,
        5.087355940935493,
        5.08737501335403,
        5.087394085772567,
        5.087413158191104,
        5.087432230609641,
        5.087451779838641,
        5.087470852257179,
        5.087489924675716,
        5.087508997094253,
        5.08752806951279,
        5.087547141931328,
        5.087566691160328,
        5.087585763578865,
        5.087604835997403,
        5.08762390841594,
        5.0876429808344765,
        5.0876625300634775,
        5.087681602482014,
        5.087700674900551,
        5.087719747319088,
        5.087738819737626,
        5.087757892156163,
        5.0877769645747,
        5.087796513803701,
        5.087815586222238,
        5.087834658640775,
        5.087853731059312,
        5.087872803477849,
        5.0878918758963865,
        5.087910948314923,
        5.08793002073346,
        5.087949569962461,
        5.087968642380998,
        5.087987714799535,
        5.088006787218072,
        5.08802585963661,
        5.088044932055147,
        5.088064004473684,
        5.088083076892221,
        5.0881021493107585,
        5.0881212217292955,
        5.091626970661653,
        5.0957821354452,
        5.095805022347444,
        5.095827909249689,
        5.09585031934147,
        5.095873206243715,
        5.095896093145959,
        5.0959185032377405,
        5.095941390139985,
        5.0959642770422295,
        5.095986687134011,
        5.096009574036255,
        5.0960324609385,
        5.09605487103028,
        5.096077757932525,
        5.096100168024306,
        5.096123054926551,
        5.096145941828795,
        5.096168351920577,
        5.096191238822821,
        5.096214125725066,
        5.096236535816847,
        5.096259422719092,
        5.096281832810873,
        5.0963047197131175,
        5.096327606615362,
        5.096350016707143,
        5.096372903609388,
        5.096395313701168,
        5.096418200603413,
        5.096440610695194,
        5.096463497597439,
        5.096486384499683,
        5.096508794591465,
        5.096531681493709,
        5.0965540915854906,
        5.096576978487735,
        5.096599388579516,
        5.096622275481761,
        5.0966446855735414,
        5.096667572475786,
        5.096689982567567,
        5.096712869469812,
        5.096735279561593,
        5.096758166463838,
        5.096781053366082,
        5.096803463457864,
        5.096826350360108,
        5.0968487604518895,
        5.096871647354134,
        5.0968940574459145,
        5.096916944348159,
        5.09693935443994,
        5.096962241342185,
        5.096984651433966,
        5.097007538336211,
        5.097029948427992,
        5.097052358519773,
        5.097075245422017,
        5.097097655513799,
        5.097120542416043,
        5.0971429525078245,
        5.097165839410069,
        5.09718824950185,
        5.097211136404095,
        5.097233546495876,
        5.097256433398121,
        5.097278843489901,
        5.097301253581683,
        5.097324140483927,
        5.0973465505757085,
        5.097369437477953,
        5.097391847569734,
        5.097414734471979,
        5.097437144563759,
        5.097459554655541,
        5.097482441557785,
        5.097504851649567,
        5.097527738551811,
        5.097550148643593,
        5.097572558735373,
        5.097595445637618,
        5.097617855729399,
        5.0976407426316435,
        5.097663152723425,
        5.097685562815206,
        5.097708449717451,
        5.097730859809231,
        5.097753746711477,
        5.097776156803257,
        5.0977985668950385,
        5.097821453797283,
        5.097843863889064,
        5.097866273980845,
        5.09788916088309,
        5.097911570974871,
        5.097933981066652,
        5.097956867968897,
        5.097979278060678,
        5.098001688152459,
        5.098024575054704,
        5.0980469851464845,
        5.098069395238266,
        5.09809228214051,
        5.0992857387304715,
        5.099308148822253,
        5.099330558914034,
        5.099352969005815,
        5.099375379097596,
        5.099397789189378,
        5.099420199281159,
        5.0994430861834035,
        5.099465496275184,
        5.099487906366965,
        5.099510316458747,
        5.099532726550527,
        5.099555136642309,
        5.09957754673409,
        5.099599956825871,
        5.099622366917652,
        5.099644777009433,
        5.099667187101215,
        5.099690074003459,
        5.099712484095241,
        5.099734894187021,
        5.0997573042788025,
        5.099779714370584,
        5.099802124462364,
        5.099824534554146,
        5.099846944645927,
        5.0998693547377085,
        5.099891764829489,
        5.09991417492127,
        5.099936585013052,
        5.099958995104832,
        5.099981405196614,
        5.100003815288395,
        5.1000262253801765,
        5.100048635471957,
        5.100071045563738,
        5.10009345565552,
        5.1001158657473,
        5.100138275839082,
        5.100160685930863,
        5.100183096022644,
        5.100205506114425,
        5.100227916206206,
        5.100250326297988,
        5.100272736389768,
        5.10029514648155,
        5.100317556573331,
        5.100339966665112,
        5.100362376756893,
        5.100384786848674,
        5.100407196940456,
        5.100429607032236,
        5.1004520171240175,
        5.100474427215799,
        5.10049683730758,
        5.100519247399361,
        5.100541657491142,
        5.100564067582924,
        5.100586477674704,
        5.1006088877664855,
        5.100631297858267,
        5.100653231139584,
        5.100675641231366,
        5.100698051323147,
        5.1007204614149275,
        5.100742871506709,
        5.10076528159849,
        5.100787691690272,
        5.100810101782052,
        5.100832511873834,
        5.100854921965615,
        5.1008773320573955,
        5.100899265338714,
        5.100921675430494,
        5.100944085522276,
        5.100966495614057,
        5.100988905705838,
        5.101011315797619,
        5.1010337258894,
        5.101056135981182,
        5.101078069262499,
        5.1011004793542805,
        5.101122889446062,
        5.101145299537842,
        5.101167709629624,
        5.101190119721405,
        5.1012120530027225,
        5.101234463094504,
        5.101256873186285,
        5.101279283278066,
        5.101301693369847,
        5.101324103461629,
        5.101346036742946,
        5.101368446834727,
        5.101390856926508,
        5.101413267018289,
        5.101435677110071,
        5.101458087201852,
        5.101480020483169,
        5.101502430574951,
        5.101524840666731,
        5.101547250758513,
        5.10156918403983,
        5.1015915941316115,
        5.101614004223393,
        5.101636414315174,
        5.101658824406955,
        5.101680757688273,
        5.1017031677800535,
        5.101725577871835,
        5.101747987963616,
        5.101769921244934,
        5.101792331336715,
        5.1018147414284964,
        5.101837151520277,
        5.101859084801595,
        5.101881494893376,
        5.101903904985157,
        5.1019263150769385,
        5.101948248358256,
        5.101970658450037,
        5.101993068541819,
        5.102015001823136,
        5.102037411914917,
        5.102059822006698,
        5.102082232098479,
        5.102104165379797,
        5.102126575471578,
        5.1021489855633595,
        5.102170918844677,
        5.102193328936458,
        5.10221573902824,
        5.102237672309557,
        5.102260082401338,
        5.102282492493119,
        5.102304425774437,
        5.102326835866219,
        5.102349245957999,
        5.102371179239317,
        5.102393589331098,
        5.102415999422879,
        5.102437932704197,
        5.102460342795978,
        5.102482752887759,
        5.102504686169077,
        5.102527096260858,
        5.10254950635264,
        5.102571439633957,
        5.102593849725738,
        5.102615783007056,
        5.102638193098837,
        5.1026606031906185,
        5.102682536471936,
        5.102704946563717,
        5.102726879845035,
        5.102749289936816,
        5.102771700028597,
        5.102793633309915,
        5.102816043401695,
        5.102837976683014,
        5.102860386774795,
        5.1028827968665755,
        5.102904730147894,
        5.102927140239674,
        5.102949073520993,
        5.102971483612773,
        5.102993416894091,
        5.103015826985872,
        5.103038237077653,
        5.1030601703589715,
        5.103082580450752,
        5.10310451373207,
        5.103126923823851,
        5.103148857105169,
        5.10317126719695,
        5.103193200478268,
        5.103215610570049,
        5.103237543851367,
        5.103259953943148,
        5.103281887224465,
        5.103304297316247,
        5.103326230597564,
        5.103348640689346,
        5.103370573970663,
        5.103392984062444,
        5.103414917343762,
        5.103437327435543,
        5.1034592607168605,
        5.103481670808642,
        5.103503604089959,
        5.103526014181741,
        5.103547947463058,
        5.1035703575548395,
        5.103592290836157,
        5.103614700927938,
        5.1036366342092565,
        5.103659044301037,
        5.103680977582355,
        5.103703387674136,
        5.103725320955454,
        5.103747731047235,
        5.103769664328553,
        5.10379159760987,
        5.103814007701652,
        5.103835940982969,
        5.10385835107475,
        5.103880284356068,
        5.103902694447849,
        5.1039246277291666,
        5.103946561010485,
        5.103968971102265,
        5.103990904383584,
        5.104013314475365,
        5.104035247756682,
        5.104057181038,
        5.104079591129781,
        5.1041015244110985,
        5.10412393450288,
        5.104145867784197,
        5.104167801065516,
        5.104190211157296,
        5.104212144438614,
        5.104234077719932,
        5.104256487811713,
        5.1042784210930305,
        5.104300354374349,
        5.104322764466129,
        5.104344697747448,
        5.104367107839228,
        5.104389041120546,
        5.104410974401864,
        5.104433384493645,
        5.1044553177749625,
        5.104477251056281,
        5.104499661148061,
        5.10452159442938,
        5.104543527710697,
        5.104565937802478,
        5.104587871083796,
        5.104609804365113,
        5.104631737646431,
        5.104654147738212,
        5.10467608101953,
        5.104698014300848,
        5.104720424392629,
        5.104742357673946,
        5.104764290955265,
        5.104786224236582,
        5.104808634328363,
        5.104830567609681,
        5.104852500890998,
        5.10487491098278,
        5.104896844264098,
        5.104918777545415,
        5.104940710826733,
        5.104963120918514,
        5.104985054199831,
        5.10500698748115,
        5.105028920762467,
        5.1050513308542484,
        5.105073264135566,
        5.105095197416883,
        5.1051171306982015,
        5.105139540789983,
        5.1051614740713,
        5.105183407352618,
        5.105205340633936,
        5.105227273915253,
        5.105249684007035,
        5.105271617288352,
        5.1052935505696695,
        5.105315483850988,
        5.105337417132305,
        5.1053598272240865,
        5.105381760505404,
        5.105403693786722,
        5.10542562706804,
        5.105447560349357,
        5.105469493630675,
        5.105491903722456,
        5.105513837003774,
        5.105535770285091,
        5.105557703566409,
        5.105579636847727,
        5.1056015701290445,
        5.105623980220826,
        5.105645913502143,
        5.1056678467834615,
        5.105689780064779,
        5.105711713346096,
        5.105733646627415,
        5.105755579908732,
        5.105777990000513,
        5.105799923281831,
        5.105821856563148,
        5.105843789844466,
        5.105865723125784,
        5.105887656407102,
        5.1059095896884195,
        5.105931522969737,
        5.105953456251055,
        5.1059753895323725,
        5.105997799624154,
        5.106019732905471,
        5.106041666186789,
        5.106063599468107,
        5.106085532749424,
        5.106107466030743,
        5.10612939931206,
        5.106151332593377,
        5.106173265874696,
        5.106195199156013,
        5.10621713243733,
        5.106239065718649,
        5.106260998999966,
        5.1062829322812835,
        5.106304865562602,
        5.106327275654382,
        5.1063492089357005,
        5.106371142217018,
        5.106393075498336,
        5.106415008779654,
        5.106436942060971,
        5.106458875342289,
        5.106480808623607,
        5.106502741904924,
        5.106524675186242,
        5.10654660846756,
        5.106568541748877,
        5.106590475030195,
        5.106612408311513,
        5.10663434159283,
        5.106656274874148,
        5.106678208155466,
        5.106700141436784,
        5.1067220747181015,
        5.106744007999419,
        5.106765941280737,
        5.106787397751591,
        5.106809331032909,
        5.106831264314226,
        5.1068531975955445,
        5.106875130876862,
        5.106897064158179,
        5.1069189974394975,
        5.106940930720815,
        5.106962864002133,
        5.106984797283451,
        5.107006730564768,
        5.107028663846086,
        5.107050597127404,
        5.107072530408721,
        5.107094463690039,
        5.107116396971357,
        5.107137853442211,
        5.107159786723528,
        5.107181720004847,
        5.107203653286164,
        5.107225586567482,
        5.1072475198488,
        5.107269453130117,
        5.107291386411435,
        5.107313319692753,
        5.107334776163607,
        5.107356709444924,
        5.107378642726243,
        5.10740057600756,
        5.107422509288877,
        5.107444442570196,
        5.107466375851513,
        5.107487832322367,
        5.107509765603685,
        5.107531698885003,
        5.10755363216632,
        5.107575565447639,
        5.107597498728956,
        5.1076194320102735,
        5.107640888481128,
        5.107662821762446,
        5.107684755043763,
        5.107706688325081,
        5.107728621606399,
        5.107750078077253,
        5.107947000798649,
        5.107968457269504,
        5.107990390550821,
        5.108012323832138,
        5.108034257113457,
        5.108055713584311,
        5.108077646865628,
        5.108099580146946,
        5.108121513428264,
        5.108142969899118,
        5.108164903180436,
        5.108186836461753,
        5.108208769743071,
        5.108230226213926,
        5.108252159495243,
        5.108274092776561,
        5.108296026057879,
        5.108317482528733,
        5.10833941581005,
        5.108361349091369,
        5.108382805562223,
        5.10840473884354,
        5.108426672124858,
        5.108448605406176,
        5.10847006187703,
        5.108491995158348,
        5.108513928439665,
        5.108535384910519,
        5.108557318191838,
        5.108579251473155,
        5.108600707944009,
        5.1086226412253275,
        5.108644574506645,
        5.108666030977499,
        5.1086879642588165,
        5.108709897540135,
        5.108731354010989,
        5.1087532872923065,
        5.108775220573624,
        5.108796677044478,
        5.108818610325796,
        5.108840543607114,
        5.108862000077968,
        5.1088839333592855,
        5.10890538983014,
        5.108927323111458,
        5.108949256392775,
        5.10897071286363,
        5.108992646144948,
        5.109014102615802,
        5.10903603589712,
        5.109057969178437,
        5.109079425649291,
        5.10910135893061,
        5.109122815401464,
        5.109144748682781,
        5.109166681964099,
        5.109188138434953,
        5.109210071716271,
        5.1092315281871254,
        5.109253461468443,
        5.109274917939297,
        5.1092968512206145,
        5.109318784501933,
        5.109340240972787,
        5.109362174254104,
        5.109383630724959,
        5.109405564006277,
        5.109427020477131,
        5.109448953758449,
        5.109470410229303,
        5.10949234351062,
        5.109513799981475,
        5.109535733262793,
        5.10955766654411,
        5.1095791230149645,
        5.109601056296282,
        5.109622512767136,
        5.1096444460484545,
        5.109665902519309,
        5.109687835800626,
        5.10970929227148,
        5.109731225552798,
        5.109752682023652,
        5.10977461530497,
        5.109796071775825,
        5.109817528246679,
        5.109839461527996,
        5.109860917998851,
        5.109882851280169,
        5.109904307751023,
        5.1099262410323405,
        5.109947697503195,
        5.109969630784512,
        5.109991087255366,
        5.110013020536685,
        5.110034477007539,
        5.110055933478393,
        5.110077866759711,
        5.110099323230565,
        5.110121256511882,
        5.110142712982737,
        5.110164646264055,
        5.110186102734909,
        5.110207559205763,
        5.110229492487081,
        5.110250948957935,
        5.1102728822392525,
        5.110294338710107,
        5.110315795180961,
        5.110337728462279,
        5.110359184933134,
        5.110381118214451,
        5.110402574685305,
        5.1104240311561595,
        5.110445964437478,
        5.110467420908332,
        5.1104893541896494,
        5.110510810660504,
        5.110532267131358,
        5.110554200412675,
        5.11057565688353,
        5.110597113354384,
        5.110619046635702,
        5.1106405031065565,
        5.110661959577411,
        5.110683892858728,
        5.110705349329582,
        5.110726805800437,
        5.110748739081754,
        5.110770195552608,
        5.110791652023463,
        5.110813585304781,
        5.110835041775635,
        5.1108564982464895,
        5.110878431527807,
        5.110899887998661,
        5.110921344469515,
        5.11094280094037,
        5.110964734221687,
        5.110986190692541,
        5.111007647163396,
        5.111029580444714,
        5.111051036915568,
        5.111072493386422,
        5.111093949857277,
        5.111115883138594,
        5.111137339609448,
        5.111158796080303,
        5.111180252551157,
        5.111202185832475,
        5.1112236423033295,
        5.111245098774184,
        5.111266555245038,
        5.111288488526355,
        5.11130994499721,
        5.111805351068711,
        5.11182728435003,
        5.111848740820884,
        5.111870197291738,
        5.1118916537625925,
        5.111913110233447,
        5.111934566704301,
        5.111956023175155,
        5.11197747964601,
        5.111999412927327,
        5.112020869398181,
        5.1120423258690355,
        5.11206378233989,
        5.112085238810744,
        5.112106695281598,
        5.112128151752453,
        5.112149608223307,
        5.112171064694161,
        5.112192997975479,
        5.112214454446334,
        5.112235910917188,
        5.112257367388042,
        5.1122788238588965,
        5.112300280329751,
        5.112321736800605,
        5.112343193271459,
        5.112364649742314,
        5.112386106213168,
        5.112407562684022,
        5.1124290191548765,
        5.112450475625731,
        5.112471932096585,
        5.112493388567439,
        5.112515321848757,
        5.112536778319611,
        5.112558234790465,
        5.1125796912613195,
        5.112601147732174,
        5.112622604203028,
        5.112644060673882,
        5.112665517144737,
        5.112686973615591,
        5.112708430086445,
        5.112729886557299,
        5.112751343028154,
        5.112772799499008,
        5.112794255969862,
        5.1128157124407165,
        5.112837168911571,
        5.112858625382425,
        5.112880081853279,
        5.112901538324134,
        5.112922994794988,
        5.112944451265842,
        5.112965430926233,
        5.112986887397088,
        5.113008343867942,
        5.113029800338796,
        5.1130512568096504,
        5.113072713280505,
        5.113094169751359,
        5.113115626222213,
        5.1131370826930675,
        5.113158539163922,
        5.113179995634776,
        5.11320145210563,
        5.113222908576485,
        5.113244365047339,
        5.113265821518193,
        5.1132872779890475,
        5.113308257649439,
        5.113329714120293,
        5.113351170591147,
        5.1133726270620015,
        5.113394083532856,
        5.11341554000371,
        5.113436996474564,
        5.113458452945419,
        5.113479909416273,
        5.113500889076663,
        5.113522345547517,
        5.113543802018372,
        5.113565258489226,
        5.11358671496008,
        5.1136081714309345,
        5.113629627901789,
        5.11365060756218,
        5.113672064033034,
        5.1136935205038885,
        5.113714976974743,
        5.113736433445597,
        5.113757889916451,
        5.113779346387306,
        5.113800326047697,
        5.113821782518551,
        5.113843238989405,
        5.11386469546026,
        5.113886151931114,
        5.113907131591504,
        5.113928588062358,
        5.113950044533213,
        5.113971501004067,
        5.113992957474921,
        5.114013937135312,
        5.114035393606167,
        5.114056850077021,
        5.1144280470228,
        5.115568816056553,
        5.115589795716943,
        5.115611252187797,
        5.115632231848188,
        5.115653688319043,
        5.115674667979434,
        5.115696124450288,
        5.115717104110678,
        5.115738560581533,
        5.115759540241924,
        5.115780996712778,
        5.115801976373169,
        5.1158234328440235,
        5.115844412504414,
        5.115865868975268,
        5.115886848635659,
        5.1159083051065135,
        5.115929284766904,
        5.115950741237759,
        5.115971720898149,
        5.11599270055854,
        5.116014157029395,
        5.116035136689785,
        5.116056593160639,
        5.11607757282103,
        5.116099029291885,
        5.116120008952276,
        5.11614146542313,
        5.11616244508352,
        5.1161834247439115,
        5.116204881214766,
        5.116225860875157,
        5.116247317346011,
        5.1162682970064015,
        5.116289753477256,
        5.116310733137647,
        5.116331712798038,
        5.116353169268892,
        5.116374148929283,
        5.116395605400137,
        5.116416585060528,
        5.116437564720919,
        5.1164590211917735,
        5.116480000852164,
        5.116501457323018,
        5.116522436983409,
        5.1165434166438,
        5.116564873114655,
        5.116585852775045,
        5.116606832435436,
        5.11662828890629,
        5.116649268566682,
        5.116670248227072,
        5.116691704697926,
        5.116712684358317,
        5.1167336640187076,
        5.116755120489562,
        5.116776100149953,
        5.116797079810344,
        5.116818536281198,
        5.116839515941589,
        5.11686049560198,
        5.116881952072834,
        5.116902931733225,
        5.116923911393616,
        5.11694536786447,
        5.116966347524861,
        5.116987327185252,
        5.1170083068456425,
        5.117029763316497,
        5.117050742976888,
        5.117071722637279,
        5.117093179108133,
        5.117114158768524,
        5.117135138428915,
        5.117156118089306,
        5.11717757456016,
        5.1171985542205505,
        5.117219533880942,
        5.117240513541333,
        5.117261970012187,
        5.117282949672577,
        5.1173039293329685,
        5.117324908993359,
        5.117346365464213,
        5.117367345124604,
        5.117388324784995,
        5.117409304445386,
        5.11743076091624,
        5.117451740576631,
        5.117472720237022,
        5.1174936998974125,
        5.117514679557804,
        5.117536136028658,
        5.117557115689049,
        5.117578095349439,
        5.117599075009831,
        5.117620054670222,
        5.117641511141076,
        5.117662490801466,
        5.1176834704618575,
        5.117704450122249,
        5.117725429782639,
        5.11774640944303,
        5.117767865913884,
        5.1177888455742755,
        5.117809825234666,
        5.117830804895057,
        5.117851784555447,
        5.117872764215838,
        5.117894220686693,
        5.117915200347084,
        5.117936180007474,
        5.117957159667865,
        5.117978139328256,
        5.117999118988647,
        5.118020098649038,
        5.118041078309429,
        5.118062534780283,
        5.1180835144406736,
        5.118104494101065,
        5.118125473761456,
        5.118146453421846,
        5.118167433082237,
        5.1181884127426285,
        5.118209392403019,
        5.11823037206341,
        5.118251351723801,
        5.118272331384191,
        5.118293787855046,
        5.118314767515437,
        5.118335747175827,
        5.118356726836218,
        5.118377706496609,
        5.118398686157,
        5.118419665817391,
        5.118440645477782,
        5.118461625138172,
        5.118482604798563,
        5.118503584458955,
        5.118524564119345,
        5.118545543779736,
        5.118566523440127,
        5.1185875031005175,
        5.118608482760909,
        5.1186294624213,
        5.11865044208169,
        5.118671421742081,
        5.1186924014024715,
        5.118713381062863,
        5.118734360723254,
        5.118755340383644,
        5.118776320044035,
        5.118797299704426,
        5.118818279364817,
        5.118839259025208,
        5.118860238685599,
        5.118881218345989,
        5.1189021980063805,
        5.118923177666772,
        5.118944157327162,
        5.118965136987553,
        5.118986116647944,
        5.1190070963083345,
        5.119028075968726,
        5.119049055629117,
        5.119070035289507,
        5.119091014949898,
        5.1191119946102885,
        5.11913297427068,
        5.119153953931071,
        5.119174456780998,
        5.119195436441389,
        5.1192164161017795,
        5.119237395762171,
        5.119258375422562,
        5.119279355082952,
        5.119300334743343,
        5.119321314403734,
        5.119342294064125,
        5.119363273724516,
        5.119383776574443,
        5.119404756234834,
        5.119425735895224,
        5.119446715555616,
        5.119467695216007,
        5.119488674876397,
        5.119509654536788,
        5.119530634197179,
        5.1195511370471065,
        5.119572116707498,
        5.119593096367888,
        5.119614076028279,
        5.11963505568867,
        5.1196560353490606,
        5.119677015009452,
        5.119697517859379,
        5.11971849751977,
        5.11973947718016,
        5.1197604568405515,
        5.119781436500943,
        5.119802416161333,
        5.119822919011261,
        5.119843898671651,
        5.119864878332042,
        5.119885857992434,
        5.119906837652824,
        5.119927340502752,
        5.119948320163142,
        5.119969299823533,
        5.1199902794839245,
        5.120010782333852,
        5.120031761994242,
        5.120052741654633,
        5.120073721315024,
        5.1200947009754145,
        5.120115203825343,
        5.120136183485733,
        5.120157163146124,
        5.120178142806515,
        5.120198645656442,
        5.1202196253168335,
        5.120240604977224,
        5.120261584637615,
        5.120282087487542,
        5.120303067147933,
        5.120324046808324,
        5.120345026468715,
        5.120365529318642,
        5.120386508979033,
        5.120407488639424,
        5.120427991489351,
        5.1204489711497425,
        5.120469950810133,
        5.120490453660061,
        5.120511433320451,
        5.120532412980842,
        5.120553392641233,
        5.120573895491161,
        5.120594875151552,
        5.120615854811942,
        5.120636357661869,
        5.12065733732226,
        5.1206783169826515,
        5.120698819832579,
        5.12071979949297,
        5.12074077915336,
        5.120761282003288,
        5.1207822616636784,
        5.12080324132407,
        5.120823744173997,
        5.120844723834388,
        5.120865226684315,
        5.120886206344706,
        5.1209071860050965,
        5.120927688855025,
        5.120948668515415,
        5.120969648175806,
        5.120990151025733,
        5.121011130686124,
        5.1210316335360515,
        5.121052613196443,
        5.121073592856834,
        5.121094095706761,
        5.121115075367152,
        5.121135578217079,
        5.12115655787747,
        5.121177537537861,
        5.121198040387788,
        5.121219020048179,
        5.121239522898106,
        5.121260502558497,
        5.121281005408425,
        5.121301985068816,
        5.121322964729207,
        5.121343467579134,
        5.121364447239525,
        5.121384950089452,
        5.121405929749843,
        5.121426432599771,
        5.121447412260161,
        5.121467915110089,
        5.121488894770479,
        5.121509397620407,
        5.121530377280798,
        5.121550880130726,
        5.121571859791116,
        5.121592362641044,
        5.121613342301434,
        5.121633845151361,
        5.121654824811753,
        5.12167532766168,
        5.121696307322071,
        5.121716810171998,
        5.121737789832389,
        5.121758292682316,
        5.121779272342708,
        5.121799775192635,
        5.121820754853026,
        5.121841257702953,
        5.121862237363344,
        5.121882740213271,
        5.1219037198736626,
        5.12192422272359,
        5.121945202383981,
        5.121965705233908,
        5.121986208083835,
        5.122007187744226,
        5.1220276905941535,
        5.122048670254545,
        5.122069173104472,
        5.122090152764863,
        5.12211065561479,
        5.122131158464717,
        5.1221521381251085,
        5.122172640975036,
        5.122193620635427,
        5.122214123485354,
        5.122234626335282,
        5.122255605995672,
        5.1222761088456,
        5.122297088505991,
        5.122317591355918,
        5.122338094205846,
        5.122359073866236,
        5.122379576716164,
        5.1224005563765544,
        5.1224210592264825,
        5.12244156207641,
        5.122462541736801,
        5.122483044586728,
        5.122503547436655,
        5.122524527097046,
        5.1225450299469735,
        5.122565532796901,
        5.122586512457292,
        5.122607015307219,
        5.122627518157147,
        5.122648497817537,
        5.122669000667465,
        5.1226895035173925,
        5.122710483177784,
        5.122730986027711,
        5.122751488877638,
        5.122772468538029,
        5.122792971387956,
        5.1228134742378835,
        5.122834453898275,
        5.122854956748202,
        5.12287545959813,
        5.122895962448057,
        5.122916942108448,
        5.122937444958375,
        5.1229579478083025,
        5.12297845065823,
        5.122999430318621,
        5.123019933168548,
        5.123040436018476,
        5.123061415678866,
        5.123081918528794,
        5.1231024213787215,
        5.123122924228649,
        5.123143427078576,
        5.123164406738967,
        5.123184909588894,
        5.123205412438822,
        5.123225915288749,
        5.1232468949491405,
        5.123267397799068,
        5.123287900648995,
        5.123308403498923,
        5.123329383159313,
        5.12334988600924,
        5.123370388859168,
        5.123390891709096,
        5.123411394559023,
        5.123431897408951,
        5.123452877069341,
        5.123473379919269,
        5.123493882769196,
        5.123514385619123,
        5.123534888469051,
        5.123555868129442,
        5.123576370979369,
        5.123596873829297,
        5.123617376679224,
        5.123637879529151,
        5.123658382379079,
        5.12367936203947,
        5.123699864889397,
        5.123720367739325,
        5.123740870589252,
        5.123761373439179,
        5.123781876289107,
        5.123802379139034,
        5.1238228819889615,
        5.123843861649353,
        5.12386436449928,
        5.123884867349207,
        5.123905370199135,
        5.123925873049062,
        5.123946375898989,
        5.123966878748917,
        5.123987381598845,
        5.124007884448772,
        5.1240283872987,
        5.12404936695909,
        5.124069869809017,
        5.124090372658945,
        5.1241108755088725,
        5.1241313783588,
        5.124151881208728,
        5.124172384058655,
        5.124192886908582,
        5.12421338975851,
        5.124233892608437,
        5.124254395458364,
        5.1242748983082915,
        5.12429540115822,
        5.124315904008147,
        5.124336406858074,
        5.124356909708002,
        5.124377412557929,
        5.124397915407856,
        5.124418418257783,
        5.1244389211077115,
        5.124459423957639,
        5.124479926807566,
        5.124500429657494,
        5.124520932507421,
        5.124541435357348,
        5.124561938207276,
        5.124582441057203,
        5.124602943907131,
        5.124623446757058,
        5.124643949606986,
        5.124664452456913,
        5.12468495530684,
        5.124705458156768,
        5.124725961006695,
        5.1247464638566225,
        5.12476696670655,
        5.124787469556478,
        5.124807972406405,
        5.124828475256332,
        5.12484897810626,
        5.124869480956187,
        5.124889983806114,
        5.1249104866560415,
        5.12493098950597,
        5.124951492355897,
        5.124971995205824,
        5.124992021245288,
        5.125012524095216,
        5.125033026945143,
        5.12505352979507,
        5.1250740326449975,
        5.1250945354949256,
        5.125115038344853,
        5.12513554119478,
        5.125156044044708,
        5.125176546894635,
        5.125196572934099,
        5.125217075784026,
        5.1252375786339535,
        5.1252580814838815,
        5.125278584333809,
        5.125299087183736,
        5.125319590033664,
        5.125340092883591,
        5.125360118923055,
        5.125380621772982,
        5.125401124622909,
        5.1254216274728375,
        5.125442130322765,
        5.125462633172692,
        5.125482659212156,
        5.125503162062084,
        5.125523664912011,
        5.125544167761938,
        5.125564670611865,
        5.125585173461793,
        5.1256051995012575,
        5.125625702351185,
        5.125646205201112,
        5.12566670805104,
        5.125687210900967,
        5.125707236940431,
        5.125727739790358,
        5.125748242640285,
        5.125768745490213,
        5.1257887715296775,
        5.125809274379605,
        5.125829777229532,
        5.125850280079459,
        5.125870782929387,
        5.125890808968851,
        5.125911311818778,
        5.125931814668705,
        5.1259523175186334,
        5.1259723435580975,
        5.125992846408025,
        5.126013349257952,
        5.126033375297416,
        5.126053878147343,
        5.126074380997271,
        5.126094883847198,
        5.126114909886662,
        5.1261354127365895,
        5.126155915586517,
        5.126176418436445,
        5.126196444475909,
        5.126216947325836,
        5.126237450175763,
        5.126257476215227,
        5.126277979065154,
        5.126298481915082,
        5.126318507954546,
        5.1263390108044735,
        5.126359513654401,
        5.126379539693865,
        5.126400042543793,
        5.12642054539372,
        5.126440571433184,
        5.126461074283111,
        5.126481577133038,
        5.126501603172502,
        5.12652210602243,
        5.126542608872358,
        5.126562634911822,
        5.126583137761749,
        5.126603640611676,
        5.12662366665114,
        5.126644169501068,
        5.126664195540532,
        5.126684698390459,
        5.126705201240386,
        5.1267252272798505,
        5.126745730129778,
        5.126765756169242,
        5.12678625901917,
        5.126806761869097,
        5.126826787908561,
        5.126847290758488,
        5.126867316797952,
        5.126887819647879,
        5.126908322497807,
        5.126928348537271,
        5.126948851387199,
        5.126968877426663,
        5.12698938027659,
        5.127009406316054,
        5.127029909165981,
        5.127050412015909,
        5.127070438055373,
        5.1270909409053,
        5.127110966944764,
        5.1271314697946915,
        5.1271514958341555,
        5.127171998684083,
        5.127192024723547,
        5.127212527573475,
        5.127232553612938,
        5.127253056462866,
        5.12727308250233,
        5.127293585352257,
        5.127313611391721,
        5.127334114241648,
        5.1273541402811125,
        5.12737464313104,
        5.127394669170504,
        5.127415172020432,
        5.127435198059896,
        5.127455700909823,
        5.127475726949287,
        5.127496229799214,
        5.127516255838678,
        5.127536758688605,
        5.127556784728069,
        5.1275772875779975,
        5.1275973136174615,
        5.127617816467389,
        5.127637842506853,
        5.127657868546317,
        5.127678371396244,
        5.127698397435708,
        5.127718900285635,
        5.127738926325099,
        5.127759429175026,
        5.12777945521449,
        5.1277994812539545,
        5.1278199841038825,
        5.127840010143347,
        5.127860512993274,
        5.127880539032738,
        5.127900565072202,
        5.127921067922129,
        5.127941093961593,
        5.12796159681152,
        5.127981622850984,
        5.128001648890448,
        5.1280221517403755,
        5.1280421777798395,
        5.1280626806297676,
        5.128082706669232,
        5.128102732708696,
        5.128123235558623,
        5.128143261598087,
        5.128163287637551,
        5.128183790487478,
        5.128203816526942,
        5.128223842566406,
        5.128244345416333,
        5.128264371455797,
        5.128284397495261,
        5.128304900345189,
        5.128324926384653,
        5.128344952424117,
        5.128365455274045,
        5.128385481313508,
        5.128405507352972,
        5.1284260102029,
        5.128446036242364,
        5.128466062281828,
        5.128486565131755,
        5.128506591171219,
        5.128526617210683,
        5.128546643250147,
        5.128567146100075,
        5.128587172139539,
        5.128607198179003,
        5.128627224218467,
        5.128647727068394,
        5.128667753107858,
        5.128687779147322,
        5.128708281997249,
        5.128728308036713,
        5.128748334076177,
        5.128768360115641,
        5.1287888629655685,
        5.1288088890050325,
        5.128828915044497,
        5.128848941083961,
        5.128868967123425,
        5.128889469973352,
        5.128909496012816,
        5.12892952205228,
        5.128949548091744,
        5.128970050941671,
        5.128990076981135,
        5.129010103020599,
        5.129030129060063,
        5.129050155099527,
        5.129070657949455,
        5.1290906839889185,
        5.129110710028383,
        5.129130736067847,
        5.129150762107311,
        5.129170788146775,
        5.129191290996702,
        5.129211317036166,
        5.12923134307563,
        5.129251369115094,
        5.129271395154558,
        5.129291421194022,
        5.129311924043949,
        5.129331950083413,
        5.129351976122877,
        5.1293720021623415,
        5.1293920282018055,
        5.12941205424127,
        5.129432080280734,
        5.129452106320198,
        5.129472609170125,
        5.129492635209589,
        5.129512661249053,
        5.129532687288517,
        5.129552713327981,
        5.129572739367445,
        5.129592765406909,
        5.129612791446373,
        5.129632817485837,
        5.129652843525301,
        5.129673346375228,
        5.1296933724146925,
        5.1297133984541565,
        5.129733424493621,
        5.129753450533085,
        5.130013789046116,
        5.13003381508558,
        5.1300538411250445,
        5.1300738671645085,
        5.130093893203973,
        5.130113919243437,
        5.130133945282901,
        5.130153971322365,
        5.130173997361828,
        5.130194023401292,
        5.130214049440756,
        5.13023407548022,
        5.130254101519684,
        5.130274127559148,
        5.130294153598612,
        5.130314179638076,
        5.13033420567754,
        5.130354231717004,
        5.130374257756468,
        5.130394283795932,
        5.1304143098353965,
        5.1304343358748605,
        5.130454361914325,
        5.130474387953789,
        5.130494413993252,
        5.130514440032716,
        5.13053446607218,
        5.130554492111644,
        5.130574041340645,
        5.130594067380109,
        5.130614093419573,
        5.130634119459037,
        5.130654145498501,
        5.130674171537965,
        5.130694197577428,
        5.130714223616892,
        5.130734249656356,
        5.13075427569582,
        5.130773824924821,
        5.130793850964285,
        5.1308138770037495,
        5.1308339030432135,
        5.130853929082678,
        5.130873955122142,
        5.130893981161606,
        5.130914007201069,
        5.13093355643007,
        5.130953582469534,
        5.130973608508998,
        5.130993634548462,
        5.131013660587926,
        5.13103368662739,
        5.13105323585639,
        5.131073261895854,
        5.131093287935318,
        5.131113313974782,
        5.131133340014246,
        5.131152889243247,
        5.131172915282711,
        5.131192941322174,
        5.1312129673616385,
        5.1312329934011025,
        5.131252542630103,
        5.1312725686695675,
        5.1312925947090315,
        5.131312620748496,
        5.13133264678796,
        5.13135219601696,
        5.131372222056424,
        5.131392248095888,
        5.131412274135352,
        5.131431823364353,
        5.131451849403817,
        5.131471875443281,
        5.131491901482744,
        5.131511450711745,
        5.131531476751209,
        5.131551502790673,
        5.131571528830137,
        5.131591078059137,
        5.131611104098601,
        5.131631130138065,
        5.131651156177529,
        5.13167070540653,
        5.131690731445994,
        5.131710757485458,
        5.131730306714458,
        5.1317503327539225,
        5.1317703587933865,
        5.1317903848328505,
        5.1318099340618515,
        5.1318299601013155,
        5.13184998614078,
        5.13186953536978,
        5.131889561409244,
        5.131909587448708,
        5.131929136677709,
        5.131949162717173,
        5.131969188756636,
        5.131988737985637,
        5.132008764025101,
        5.132028790064565,
        5.132048339293566,
        5.132068365333029,
        5.132088391372493,
        5.132107940601494,
        5.132127966640958,
        5.132147515869959,
        5.132167541909422,
        5.132187567948886,
        5.132207117177887,
        5.132227143217351,
        5.132247169256815,
        5.132266718485815,
        5.132286744525279,
        5.13230629375428,
        5.132326319793744,
        5.132346345833208,
        5.132365895062208,
        5.1323859211016725,
        5.132405470330673,
        5.1324254963701375,
        5.1324450455991375,
        5.1324650716386016,
        5.132485097678066,
        5.1325046469070665,
        5.132524672946531,
        5.132544222175531,
        5.132564248214995,
        5.132583797443996,
        5.13260382348346,
        5.13262337271246,
        5.132643398751924,
        5.132663424791388,
        5.132682974020389,
        5.132703000059853,
        5.132722549288853,
        5.132742575328317,
        5.132762124557318,
        5.132782150596782,
        5.132801699825782,
        5.132821725865246,
        5.132841275094247,
        5.132861301133711,
        5.132880850362711,
        5.132900876402175,
        5.132920425631176,
        5.13294045167064,
        5.132960000899641,
        5.132980026939104,
        5.132999576168105,
        5.133019602207569,
        5.13303915143657,
        5.13305870066557,
        5.133078726705034,
        5.133098275934035,
        5.133118301973499,
        5.133137851202499,
        5.133157877241963,
        5.133177426470964,
        5.133197452510428,
        5.133217001739428,
        5.133236550968429,
        5.133256577007893,
        5.133276126236893,
        5.133296152276357,
        5.133315701505358,
        5.133335727544822,
        5.133355276773822,
        5.133374826002823,
        5.133394852042287,
        5.1334144012712875,
        5.1334344273107515,
        5.133453976539752,
        5.133473525768753,
        5.1334935518082165,
        5.1335131010372175,
        5.133532650266218,
        5.1335526763056825,
        5.1335722255346825,
        5.133592251574147,
        5.1336118008031475,
        5.1336313500321475,
        5.133651376071612,
        5.1336709253006125,
        5.133690474529613,
        5.133710500569077,
        5.133730049798078,
        5.133749599027078,
        5.133769625066542,
        5.133789174295543,
        5.1338087235245435,
        5.133828749564008,
        5.133848298793008,
        5.133867848022009,
        5.133887874061473,
        5.133907423290473,
        5.133926972519474,
        5.133946521748474,
        5.133966547787938,
        5.133986097016939,
        5.134005646245939,
        5.134025672285403,
        5.134045221514404,
        5.134064770743405,
        5.134084319972405,
        5.134104346011869,
        5.13412389524087,
        5.13414344446987,
        5.134163470509334,
        5.134183019738335,
        5.134202568967335,
        5.134222118196336,
        5.1342421442358,
        5.1342616934648,
        5.134281242693801,
        5.134300791922802,
        5.134320341151802,
        5.134340367191266,
        5.134359916420267,
        5.134379465649267,
        5.134399014878268,
        5.134419040917732,
        5.134438590146732,
        5.134458139375733,
        5.134477688604734,
        5.134497237833734,
        5.134517263873198,
        5.134536813102199,
        5.134556362331199,
        5.1345759115602,
        5.1345954607892,
        5.134615010018201,
        5.134635036057665,
        5.134654585286666,
        5.134674134515666,
        5.134693683744667,
        5.134713232973667,
        5.134732782202668,
        5.134752808242132,
        5.134772357471132,
        5.134791906700133,
        5.134811455929134,
        5.134831005158134,
        5.134850554387135,
        5.134870103616135,
        5.1348896528451355,
        5.1349096788846,
        5.1349292281136,
        5.134948777342601,
        5.1349683265716015,
        5.134987875800602,
        5.1350074250296025,
        5.1350269742586026,
        5.1350465234876035,
        5.1350660727166035,
        5.1350856219456045,
        5.1351056479850685,
        5.1351251972140695,
        5.1351447464430695,
        5.1351642956720704,
        5.1351838449010705,
        5.135203394130071,
        5.1352229433590715,
        5.135242492588072,
        5.135262041817073,
        5.135281591046073,
        5.135301140275074,
        5.135320689504074,
        5.135340238733075,
        5.135359787962076,
        5.135379337191076,
        5.135398886420077,
        5.135418435649077,
        5.135437984878078,
        5.135457534107078,
        5.135477083336079,
        5.13549663256508,
        5.13551618179408,
        5.135535731023081,
        5.135555280252081,
        5.135574829481082,
        5.135594378710082,
        5.135613927939083,
        5.135633477168084,
        5.135653026397084,
        5.135672575626085,
        5.135692124855085,
        5.135711674084086,
        5.135731223313087,
        5.135750772542087,
        5.135770321771088,
        5.135789871000088,
        5.135809420229089,
        5.135828969458089,
        5.13584851868709,
        5.135868067916091,
        5.135887617145091,
        5.135907166374092,
        5.135926715603092,
        5.135946264832093,
        5.13596533725063,
        5.135984886479631,
        5.136004435708631,
        5.136023984937632,
        5.136043534166633,
        5.136063083395633,
        5.1361603527301725,
        5.143176857104753,
        5.151090718771506,
        5.151113605673751,
        5.151136015765532,
        5.151158902667777,
        5.1512041996618025,
        5.151226609753583,
        5.151249019845364,
        5.151271906747609,
        5.15129431683939,
        5.151317203741635,
        5.151339613833416,
        5.151362500735661,
        5.151384910827441,
        5.151407320919223,
        5.151430207821467,
        5.1514526179132485,
        5.151475504815493,
        5.151497914907274,
        5.151520801809519,
        5.1515432119013,
        5.151565621993081,
        5.151588508895325,
        5.151610918987107,
        5.151633805889351,
        5.1516562159811325,
        5.151678626072914,
        5.151701512975158,
        5.151723923066939,
        5.15174633315872,
        5.151769220060965,
        5.151791630152746,
        5.151814517054991,
        5.151836927146772,
        5.151859337238553,
        5.151882224140797,
        5.1519046342325785,
        5.15192704432436,
        5.151949931226604,
        5.151972341318386,
        5.151994751410166,
        5.152017638312411,
        5.152040048404192,
        5.1520624584959736,
        5.152085345398218,
        5.152107755489999,
        5.15213016558178,
        5.152153052484024,
        5.152175462575806,
        5.152197872667587,
        5.152220282759369,
        5.152243169661613,
        5.152265579753394,
        5.152287989845175,
        5.1523108767474195,
        5.152333286839201,
        5.152355696930982,
        5.152378107022763,
        5.152400993925007,
        5.152423404016789,
        5.15244581410857,
        5.1524687010108146,
        5.152491111102596,
        5.1525135211943764,
        5.152535931286158,
        5.152558818188402,
        5.152581228280184,
        5.152603638371965,
        5.152626048463746,
        5.15264893536599,
        5.1526713454577715,
        5.152693755549553,
        5.152716165641333,
        5.152738575733115,
        5.152761462635359,
        5.152783872727141,
        5.152806282818922,
        5.152828692910703,
        5.152851579812947,
        5.1528739899047284,
        5.15289639999651,
        5.152918810088291,
        5.152941220180072,
        5.152964107082316,
        5.152986517174098,
        5.153008927265879,
        5.15303133735766,
        5.153053747449441,
        5.153076157541222,
        5.153099044443467,
        5.153121454535248,
        5.153143864627029,
        5.15316627471881,
        5.1531886848105914,
        5.153211094902373,
        5.153233981804617,
        5.153256391896398,
        5.153278801988179,
        5.153301212079961,
        5.153323622171742,
        5.1533460322635225,
        5.153368442355304,
        5.153391329257548,
        5.15341373934933,
        5.15343614944111,
        5.153458559532892,
        5.153480969624673,
        5.1535033797164544,
        5.153525789808235,
        5.153548199900016,
        5.153570609991798,
        5.153593496894042,
        5.153615906985824,
        5.153638317077604,
        5.1536607271693855,
        5.153683137261167,
        5.153705547352947,
        5.153727957444729,
        5.15375036753651,
        5.153772777628292,
        5.153795187720072,
        5.1538175978118534,
        5.153840007903635,
        5.153862417995415,
        5.153884828087197,
        5.153907238178978,
        5.153930125081223,
        5.153952535173004,
        5.1539749452647845,
        5.153997355356566,
        5.154019765448347,
        5.154042175540128,
        5.154064585631909,
        5.154086995723691,
        5.154109405815472,
        5.1541318159072524,
        5.154154225999034,
        5.154176636090815,
        5.154199046182597,
        5.154221456274377,
        5.1542438663661585,
        5.15426627645794,
        5.15428868654972,
        5.154311096641502,
        5.154333506733283,
        5.1543559168250646,
        5.154378326916845,
        5.154400737008626,
        5.154423147100408,
        5.154445557192188,
        5.15446796728397,
        5.154490377375751,
        5.1545127874675325,
        5.15453472074885,
        5.154557130840631,
        5.154579540932412,
        5.154601951024193,
        5.1546243611159746,
        5.154646771207755,
        5.154669181299536,
        5.154691591391318,
        5.154714001483099,
        5.15473641157488,
        5.154758821666661,
        5.1547812317584425,
        5.154803641850223,
        5.154826051942004,
        5.154847985223323,
        5.154870395315103,
        5.1548928054068845,
        5.154915215498666,
        5.154937625590446,
        5.154960035682228,
        5.154982445774009,
        5.155004855865791,
        5.155027265957571,
        5.155049199238889,
        5.15507160933067,
        5.155094019422451,
        5.155116429514233,
        5.155138839606013,
        5.1551612496977945,
        5.155183659789576,
        5.155205593070893,
        5.155228003162675,
        5.155250413254456,
        5.155272823346237,
        5.155295233438018,
        5.155317643529799,
        5.155339576811117,
        5.155361986902898,
        5.1553843969946795,
        5.15540680708646,
        5.155429217178241,
        5.155451627270023,
        5.15547356055134,
        5.155495970643122,
        5.155518380734903,
        5.1555407908266835,
        5.155563200918465,
        5.155585134199782,
        5.155607544291564,
        5.155629954383345,
        5.155652364475126,
        5.155674774566907,
        5.155696707848225,
        5.155719117940006,
        5.155741528031787,
        5.1557639381235685,
        5.155785871404886,
        5.155808281496667,
        5.155830691588449,
        5.155853101680229,
        5.155875034961547,
        5.155897445053328,
        5.155919855145109,
        5.155942265236891,
        5.155964198518208,
        5.1559866086099895,
        5.156009018701771,
        5.156031428793551,
        5.15605336207487,
        5.15607577216665,
        5.1560981822584315,
        5.156120115539749,
        5.15614252563153,
        5.156164935723312,
        5.156187345815093,
        5.1562092790964105,
        5.156231689188192,
        5.156254099279972,
        5.156276032561291,
        5.156298442653071,
        5.1563208527448525,
        5.15634278602617,
        5.156365196117951,
        5.156387606209733,
        5.15640953949105,
        5.1564319495828315,
        5.156454359674613,
        5.15647629295593,
        5.156498703047712,
        5.156521113139493,
        5.15654304642081,
        5.156565456512592,
        5.156587866604372,
        5.156609799885691,
        5.156632209977471,
        5.156654143258789,
        5.15667655335057,
        5.156698963442351,
        5.1567208967236695,
        5.15674330681545,
        5.156765716907231,
        5.156787650188549,
        5.15681006028033,
        5.156831993561648,
        5.156854403653429,
        5.15687681374521,
        5.156898747026528,
        5.156921157118309,
        5.1569430903996265,
        5.156965500491408,
        5.156987433772725,
        5.157009843864507,
        5.157032253956288,
        5.1570541872376054,
        5.157076597329387,
        5.157098530610704,
        5.157120940702486,
        5.157142873983803,
        5.157165284075584,
        5.157187217356902,
        5.157209627448683,
        5.1572320375404646,
        5.157253970821782,
        5.157276380913563,
        5.157298314194881,
        5.157320724286662,
        5.1573426575679795,
        5.157365067659761,
        5.157387000941078,
        5.15740941103286,
        5.157431344314177,
        5.157453754405958,
        5.157475687687277,
        5.157498097779057,
        5.1575200310603755,
        5.157542441152156,
        5.157564374433474,
        5.157586784525255,
        5.157608717806573,
        5.1576311278983535,
        5.157653061179672,
        5.157675471271453,
        5.157697404552771,
        5.157719814644552,
        5.157741747925869,
        5.157763681207187,
        5.157786091298968,
        5.1578080245802855,
        5.157830434672067,
        5.157852367953384,
        5.157874778045166,
        5.157896711326484,
        5.1579191214182645,
        5.157941054699583,
        5.1579629879809,
        5.1579853980726815,
        5.158007331353999,
        5.15802974144578,
        5.158051674727098,
        5.158073608008416,
        5.1580960181001965,
        5.158117951381515,
        5.158140361473295,
        5.1581622947546135,
        5.158184228035931,
        5.158206638127712,
        5.15822857140903,
        5.158250981500811,
        5.1582729147821285,
        5.158294848063447,
        5.158317258155227,
        5.1583391914365455,
        5.158361124717863,
        5.158383534809644,
        5.158405468090962,
        5.158427878182743,
        5.1584498114640605,
        5.158471744745378,
        5.158494154837159,
        5.1585160881184775,
        5.158538021399795,
        5.158560431491576,
        5.158582364772894,
        5.158604298054211,
        5.1586267081459924,
        5.15864864142731,
        5.158670574708628,
        5.1586925079899455,
        5.158714918081727,
        5.158736851363044,
        5.1587587846443625,
        5.158781194736143,
        5.158803128017461,
        5.158825061298779,
        5.15884747139056,
        5.1588694046718775,
        5.158891337953195,
        5.158913271234513,
        5.1589356813262945,
        5.158957614607612,
        5.158979547888929,
        5.159001481170248,
        5.159023891262028,
        5.159045824543346,
        5.159067757824664,
        5.159089691105981,
        5.1591121011977625,
        5.15913403447908,
        5.159155967760398,
        5.159177901041716,
        5.159200311133497,
        5.159222244414814,
        5.159244177696133,
        5.15926611097745,
        5.159288521069231,
        5.159310454350549,
        5.159332387631866,
        5.1593543209131845,
        5.159376254194502,
        5.159398664286283,
        5.159420597567601,
        5.159442530848919,
        5.159464464130236,
        5.159486397411554,
        5.159508807503335,
        5.1595307407846525,
        5.159552674065971,
        5.159574607347288,
        5.1595965406286055,
        5.159618473909924,
        5.159640884001705,
        5.159662817283023,
        5.15968475056434,
        5.159706683845658,
        5.159728617126976,
        5.159750550408293,
        5.159772483689611,
        5.159794893781392,
        5.15981682706271,
        5.159838760344027,
        5.159860693625345,
        5.159882626906663,
        5.1599045601879805,
        5.159926493469299,
        5.159948426750616,
        5.1599708368423975,
        5.159992770123715,
        5.160014703405032,
        5.160036636686351,
        5.160058569967668,
        5.160080503248985,
        5.160102436530304,
        5.160124369811621,
        5.160146303092939,
        5.160168236374257,
        5.160190169655574,
        5.1602125797473555,
        5.160234513028673,
        5.160256446309991,
        5.1602783795913085,
        5.160300312872626,
        5.160322246153944,
        5.160344179435262,
        5.160366112716579,
        5.160388045997897,
        5.160409979279215,
        5.160431912560533,
        5.16045384584185,
        5.160475779123168,
        5.160497712404486,
        5.160519645685803,
        5.160541578967121,
        5.160563512248439,
        5.160585445529756,
        5.160607378811074,
        5.160629312092392,
        5.1606512453737095,
        5.160673178655027,
        5.160695111936345,
        5.1607170452176625,
        5.160738978498981,
        5.160760911780298,
        5.1607828450616156,
        5.160804778342934,
        5.160826711624251,
        5.160848644905569,
        5.160870578186887,
        5.160892511468204,
        5.160914444749522,
        5.16093637803084,
        5.160958311312157,
        5.160980244593476,
        5.161002177874793,
        5.16102411115611,
        5.161046044437429,
        5.161067977718746,
        5.161089911000063,
        5.161111367470918,
        5.161133300752236,
        5.161155234033553,
        5.161177167314871,
        5.161199100596189,
        5.161221033877506,
        5.161242967158824,
        5.161264900440142,
        5.1612868337214595,
        5.161308767002778,
        5.161330700284095,
        5.161352156754949,
        5.161374090036267,
        5.161396023317585,
        5.1614179565989025,
        5.16143988988022,
        5.161461823161538,
        5.1614837564428555,
        5.161505689724173,
        5.161527146195027,
        5.1615490794763454,
        5.161571012757663,
        5.161592946038981,
        5.1616148793202985,
        5.161636812601616,
        5.161658745882934,
        5.161680202353788,
        5.161702135635106,
        5.161724068916423,
        5.1617460021977415,
        5.161767935479059,
        5.161789868760376,
        5.1618113252312305,
        5.161833258512549,
        5.161855191793866,
        5.1618771250751845,
        5.161899058356502,
        5.161920514827356,
        5.1619424481086735,
        5.161964381389992,
        5.161986314671309,
        5.162008247952627,
        5.162029704423481,
        5.162051637704799,
        5.1620735709861165,
        5.162095504267434,
        5.162116960738288,
        5.1621388940196065,
        5.162160827300924,
        5.162182760582241,
        5.1622042170530955,
        5.162226150334414,
        5.162248083615731,
        5.1622700168970495,
        5.162291473367904,
        5.162313406649221,
        5.1623353399305385,
        5.162357273211857,
        5.162378729682711,
        5.162400662964028,
        5.162422596245346,
        5.162444529526664,
        5.162465985997518,
        5.162487919278836,
        5.162509852560153,
        5.162531309031007,
        5.162553242312326,
        5.162575175593643,
        5.162596632064497,
        5.162618565345816,
        5.162640498627133,
        5.162661955097987,
        5.162683888379305,
        5.162705821660623,
        5.16272775494194,
        5.162749211412795,
        5.162771144694112,
        5.16279307797543,
        5.162814534446285,
        5.162836467727602,
        5.162857924198456,
        5.162879857479774,
        5.162901790761092,
        5.162923247231946,
        5.162945180513264,
        5.162967113794582,
        5.162988570265436,
        5.1630105035467535,
        5.163032436828071,
        5.163053893298925,
        5.163075826580243,
        5.163097283051098,
        5.163119216332415,
        5.1631411496137325,
        5.163162606084587,
        5.163184539365905,
        5.163205995836759,
        5.163227929118077,
        5.163249862399394,
        5.163271318870248,
        5.163293252151567,
        5.163314708622421,
        5.163336641903738,
        5.163358098374593,
        5.163380031655911,
        5.163401964937228,
        5.1634234214080825,
        5.1634453546894,
        5.163466811160254,
        5.1634887444415725,
        5.163510200912427,
        5.163532134193744,
        5.163553590664598,
        5.163575523945916,
        5.16359698041677,
        5.163618913698088,
        5.163640370168943,
        5.16366230345026,
        5.163683759921114,
        5.163705693202432,
        5.16372762648375,
        5.163749082954604,
        5.163771016235922,
        5.163792472706776,
        5.163814405988094,
        5.163835862458948,
        5.163857318929803,
        5.16387925221112,
        5.163900708681974,
        5.163922641963292,
        5.163944098434146,
        5.163966031715464,
        5.163987488186319,
        5.164009421467636,
        5.16403087793849,
        5.164052811219808,
        5.164074267690662,
        5.16409620097198,
        5.1641176574428345,
        5.164139113913689,
        5.164161047195006,
        5.16418250366586,
        5.164204436947178,
        5.164225893418032,
        5.16424782669935,
        5.164269283170205,
        5.164290739641059,
        5.164312672922376,
        5.1643341293932306,
        5.164356062674549,
        5.164377519145403,
        5.1643994524267205,
        5.164420908897575,
        5.164442365368429,
        5.164464298649746,
        5.164485755120601,
        5.164507211591455,
        5.164529144872773,
        5.1645506013436275,
        5.164572534624945,
        5.164593991095799,
        5.1646154475666535,
        5.164637380847971,
        5.164658837318825,
        5.164680293789679,
        5.164702227070998,
        5.164723683541852,
        5.164745140012706,
        5.164767073294024,
        5.164788529764878,
        5.164809986235732,
        5.16483191951705,
        5.164853375987904,
        5.164874832458758,
        5.164896765740076,
        5.164918222210931,
        5.164939678681785,
        5.164961611963102,
        5.164983068433957,
        5.165004524904811,
        5.165026458186129,
        5.165047914656983,
        5.165069371127838,
        5.165090827598692,
        5.165112760880009,
        5.165134217350864,
        5.165155673821718,
        5.165177130292572,
        5.16519906357389,
        5.165220520044744,
        5.165241976515598,
        5.165263909796916,
        5.165285366267771,
        5.165306822738625,
        5.165328279209479,
        5.165350212490797,
        5.165371668961651,
        5.165393125432505,
        5.1654145819033594,
        5.165436038374214,
        5.165457971655531,
        5.165479428126385,
        5.16550088459724,
        5.165522341068094,
        5.165544274349412,
        5.1655657308202665,
        5.165587187291121,
        5.165608643761975,
        5.165630100232829,
        5.165652033514147,
        5.165673489985001,
        5.165694946455855,
        5.1657164029267095,
        5.165737859397564,
        5.165759315868418,
        5.165781249149736,
        5.165802705620591,
        5.165824162091445,
        5.165845618562299,
        5.1658670750331535,
        5.165888531504008,
        5.165910464785325,
        5.165931921256179,
        5.165953377727034,
        5.165974834197888,
        5.165996290668742,
        5.1660177471395965,
        5.166039203610451,
        5.166061136891768,
        5.166082593362622,
        5.166104049833477,
        5.166125506304331,
        5.166146962775185,
        5.1661684192460395,
        5.166189875716894,
        5.166211332187748,
        5.166232788658602,
        5.166254721939921,
        5.166276178410775,
        5.166297634881629,
        5.1663190913524835,
        5.166340547823338,
        5.166362004294192,
        5.166383460765046,
        5.166404917235901,
        5.166426373706755,
        5.166447830177609,
        5.166469286648463,
        5.166490743119318,
        5.166512199590172,
        5.166533656061026,
        5.1665551125318805,
        5.166576569002735,
        5.166598502284052,
        5.166619958754906,
        5.166641415225761,
        5.166662871696615,
        5.166684328167469,
        5.1667057846383235,
        5.166727241109178,
        5.166748697580032,
        5.166770154050886,
        5.166791610521741,
        5.166813066992595,
        5.166834523463449,
        5.1668559799343035,
        5.166877436405158,
        5.166898892876012,
        5.166920349346866,
        5.166941805817721,
        5.166963262288575,
        5.166984718759429,
        5.167006175230283,
        5.1670271548906745,
        5.167048611361529,
        5.167070067832383,
        5.167091524303237,
        5.167112980774092,
        5.167134437244946,
        5.1671558937158,
        5.1671773501866545,
        5.167198806657509,
        5.167220263128363,
        5.167241719599217,
        5.167263176070072,
        5.167284632540926,
        5.16730608901178,
        5.167327545482634,
        5.167349001953489,
        5.16736998161388,
        5.167391438084734,
        5.167412894555588,
        5.167434351026443,
        5.167455807497297,
        5.167477263968151,
        5.1674987204390055,
        5.16752017690986,
        5.167541633380714,
        5.167562613041104,
        5.167584069511959,
        5.167605525982813,
        5.167626982453667,
        5.167648438924521,
        5.167669895395376,
        5.16769135186623,
        5.167712331526621,
        5.167733787997475,
        5.16775524446833,
        5.167776700939184,
        5.167798157410038,
        5.1678196138808925,
        5.167841070351747,
        5.167862050012138,
        5.167883506482992,
        5.1679049629538465,
        5.167926419424701,
        5.167947875895555,
        5.167968855555945,
        5.1679903120268,
        5.168011768497654,
        5.168033224968508,
        5.168054681439362,
        5.168075661099754,
        5.168097117570608,
        5.168118574041462,
        5.168140030512316,
        5.168161486983171,
        5.168182466643562,
        5.168203923114416,
        5.16822537958527,
        5.168246836056125,
        5.168267815716515,
        5.168289272187369,
        5.1683107286582235,
        5.168332185129078,
        5.168353164789469,
        5.168374621260323,
        5.1683960777311775,
        5.168417534202032,
        5.168438513862423,
        5.168459970333277,
        5.1684814268041315,
        5.168502406464522,
        5.168523862935376,
        5.16854531940623,
        5.168566775877085,
        5.168587755537476,
        5.16860921200833,
        5.168630668479184,
        5.1686516481395754,
        5.16867310461043,
        5.168694561081284,
        5.168715540741674,
        5.1687369972125285,
        5.168758453683383,
        5.168779433343774,
        5.168800889814628,
        5.1688223462854825,
        5.168843325945874,
        5.168864782416728,
        5.168886238887582,
        5.1689072185479725,
        5.168928675018827,
        5.168950131489681,
        5.168971111150072,
        5.1689925676209265,
        5.169014024091781,
        5.169035003752171,
        5.169056460223025,
        5.1690774398834165,
        5.169098896354271,
        5.169120352825125,
        5.169141332485516,
        5.1691627889563705,
        5.169184245427225,
        5.169205225087615,
        5.169226681558469,
        5.1692476612188605,
        5.169269117689715,
        5.169290097350106,
        5.16931155382096,
        5.1693330102918145,
        5.169353989952205,
        5.169375446423059,
        5.16939642608345,
        5.1694178825543045,
        5.169438862214696,
        5.16946031868555,
        5.169481775156404,
        5.169502754816794,
        5.169524211287649,
        5.16954519094804,
        5.169566647418894,
        5.169587627079285,
        5.16960908355014,
        5.16963006321053,
        5.169651519681384,
        5.169672499341775,
        5.16969395581263,
        5.169714935473021,
        5.169736391943875,
        5.169757371604265,
        5.16977882807512,
        5.169799807735511,
        5.169821264206365,
        5.169842243866756,
        5.1698637003376104,
        5.169884679998001,
        5.169906136468855,
        5.169927116129246,
        5.1699485726001,
        5.169969552260492,
        5.169991008731346,
        5.170011988391736,
        5.17003344486259,
        5.170054424522982,
        5.170075880993836,
        5.170096860654227,
        5.170118317125081,
        5.170139296785472,
        5.170160276445863,
        5.170181732916717,
        5.170202712577107,
        5.170224169047962,
        5.170245148708353,
        5.170266605179207,
        5.170287584839598,
        5.170308564499988,
        5.170330020970843,
        5.170351000631234,
        5.170372457102088,
        5.170393436762479,
        5.17041441642287,
        5.170435872893724,
        5.170456852554115,
        5.170478309024969,
        5.1704992886853605,
        5.170520268345751,
        5.170541724816605,
        5.170562704476996,
        5.170583684137387,
        5.170605140608242,
        5.170626120268632,
        5.170647099929023,
        5.170668556399877,
        5.1706895360602685,
        5.170710515720659,
        5.170731972191513,
        5.170752951851904,
        5.1707744083227585,
        5.17079538798315,
        5.17081636764354,
        5.170837347303931,
        5.170858803774785,
        5.170879783435176,
        5.170900763095567,
        5.170922219566421,
        5.170943199226812,
        5.1709641788872025,
        5.170985635358057,
        5.171006615018448,
        5.171027594678839,
        5.171048574339229,
        5.171070030810084,
        5.171091010470475,
        5.171111990130866,
        5.17113344660172,
        5.1711544262621105,
        5.171175405922502,
        5.171196385582893,
        5.171217842053747,
        5.171238821714137,
        5.171259801374529,
        5.17128078103492,
        5.171302237505774,
        5.171323217166164,
        5.171344196826555,
        5.171365176486947,
        5.171386632957801,
        5.171407612618191,
        5.171428592278582,
        5.171449571938973,
        5.171470551599364,
        5.171492008070218,
        5.171512987730609,
        5.1715339673909995,
        5.171554947051391,
        5.171575926711782,
        5.171597383182636,
        5.171618362843026,
        5.1716393425034175,
        5.171660322163809,
        5.171681301824199,
        5.171702758295053,
        5.171723737955444,
        5.1717447176158355,
        5.171765697276226,
        5.171786676936617,
        5.171807656597008,
        5.171829113067862,
        5.171850092728253,
        5.171871072388644,
        5.171892052049035,
        5.171913031709425,
        5.172393656656562,
        5.1737163288821115,
        5.174384340341375,
        5.174404843191303,
        5.174425822851693,
        5.174446802512084,
        5.174467305362011,
        5.174488285022402,
        5.1745092646827935,
        5.174529767532721,
        5.174550747193112,
        5.174571726853502,
        5.17459222970343,
        5.17461320936382,
        5.174634189024212,
        5.174654691874139,
        5.17467567153453,
        5.17469665119492,
        5.174717154044848,
        5.1747381337052385,
        5.17475911336563,
        5.174779616215557,
        5.174800595875948,
        5.174821575536339,
        5.174842078386266,
        5.1748630580466575,
        5.174883560896585,
        5.174904540556976,
        5.174925520217366,
        5.174946023067293,
        5.174967002727684,
        5.174987505577612,
        5.175008485238003,
        5.175029464898394,
        5.175049967748321,
        5.175070947408712,
        5.175091450258639,
        5.1751124299190305,
        5.175133409579421,
        5.175153912429349,
        5.175174892089739,
        5.175195394939666,
        5.1752163746000575,
        5.175236877449985,
        5.175257857110376,
        5.175278359960303,
        5.175299339620694,
        5.175444766812039,
        5.175465269661967,
        5.175486249322358,
        5.175506752172286,
        5.175527731832676,
        5.175548234682604,
        5.175569214342994,
        5.175589717192922,
        5.175610696853313,
        5.175631199703241,
        5.175652179363631,
        5.175672682213558,
        5.175693661873949,
        5.1757141647238765,
        5.175735144384268,
        5.175755647234195,
        5.175776626894586,
        5.175797129744513,
        5.175817632594441,
        5.175838612254831,
        5.1758591151047595,
        5.17588009476515,
        5.175900597615077,
        5.175921577275468,
        5.175942080125395,
        5.175963059785786,
        5.175983562635714,
        5.176004065485642,
        5.176025045146032,
        5.17604554799596,
        5.17606652765635,
        5.176087030506278,
        5.176107533356205,
        5.176128513016596,
        5.176149015866524,
        5.176169995526914,
        5.176190498376842,
        5.176211001226769,
        5.17623198088716,
        5.176252483737088,
        5.176272986587015,
        5.176293966247406,
        5.176314469097333,
        5.176335448757724,
        5.176355951607651,
        5.1763764544575785,
        5.17639743411797,
        5.176417936967897,
        5.176438439817825,
        5.176459419478215,
        5.176479922328143,
        5.17650042517807,
        5.176521404838462,
        5.176541907688389,
        5.176562410538316,
        5.176583390198707,
        5.176603893048634,
        5.176624395898561,
        5.1766453755589525,
        5.17666587840888,
        5.176686381258808,
        5.176706884108735,
        5.176727863769126,
        5.176748366619053,
        5.17676886946898,
        5.176789849129372,
        5.176810351979299,
        5.176830854829226,
        5.176851357679154,
        5.176872337339544,
        5.176892840189472,
        5.176913343039399,
        5.176933845889327,
        5.176954825549718,
        5.176975328399645,
        5.176995831249572,
        5.1770163340995,
        5.17703731375989,
        5.1770578166098185,
        5.177078319459746,
        5.177098822309673,
        5.177119325159601,
        5.177140304819991,
        5.177160807669918,
        5.177181310519846,
        5.1772018133697735,
        5.177222793030165,
        5.177243295880092,
        5.177263798730019,
        5.177284301579947,
        5.177304804429874,
        5.177325307279801,
        5.1773462869401925,
        5.17736678979012,
        5.177387292640047,
        5.177407795489975,
        5.177428298339902,
        5.177448801189829,
        5.17746978085022,
        5.1774902837001475,
        5.177510786550075,
        5.177531289400003,
        5.17755179224993,
        5.177572295099857,
        5.177593274760248,
        5.177613777610175,
        5.177634280460103,
        5.177654783310031,
        5.177675286159958,
        5.177695789009885,
        5.177716291859813,
        5.17773679470974,
        5.177757297559667,
        5.1777782772200585,
        5.177798780069986,
        5.177819282919914,
        5.177839785769841,
        5.177860288619768,
        5.177880791469695,
        5.177901294319623,
        5.17792179716955,
        5.1779423000194775,
        5.177962802869406,
        5.177983305719333,
        5.17800380856926,
        5.178024311419188,
        5.178045291079578,
        5.178065793929505,
        5.178086296779433,
        5.178106799629361,
        5.178127302479288,
        5.178147805329216,
        5.178168308179143,
        5.17818881102907,
        5.178209313878998,
        5.178229816728925,
        5.1782503195788525,
        5.17827082242878,
        5.178291325278708,
        5.178311828128635,
        5.178332330978562,
        5.17835283382849,
        5.178373336678417,
        5.178393839528344,
        5.178414342378272,
        5.1784348452282,
        5.178455348078127,
        5.178475850928054,
        5.178496353777982,
        5.178516856627909,
        5.178537359477836,
        5.1785578623277635,
        5.1785783651776915,
        5.178598868027619,
        5.178618894067083,
        5.17863939691701,
        5.178659899766938,
        5.178680402616865,
        5.178700905466792,
        5.1787214083167195,
        5.1787419111666475,
        5.178762414016575,
        5.178782916866502,
        5.17880341971643,
        5.178823922566357,
        5.178844425416284,
        5.178864928266212,
        5.178884954305675,
        5.1789054571556035,
        5.178925960005531,
        5.178946462855458,
        5.178966965705386,
        5.178987468555313,
        5.17900797140524,
        5.179028474255168,
        5.179048977105095,
        5.179069003144559,
        5.179089505994487,
        5.179110008844414,
        5.179130511694342,
        5.179151014544269,
        5.179171517394196,
        5.17919154343366,
        5.179212046283587,
        5.179232549133515,
        5.1792530519834425,
        5.17927355483337,
        5.179294057683298,
        5.179314083722762,
        5.179334586572689,
        5.179355089422616,
        5.179375592272543,
        5.179396095122471,
        5.1794165979723985,
        5.1794366240118626,
        5.17945712686179,
        5.179477629711718,
        5.179498132561645,
        5.179518158601109,
        5.179538661451036,
        5.179559164300963,
        5.179579667150891,
        5.1796001700008185,
        5.179620196040283,
        5.17964069889021,
        5.179661201740137,
        5.179681704590065,
        5.179701730629529,
        5.179722233479456,
        5.179742736329383,
        5.179763239179311,
        5.179783265218775,
        5.179803768068703,
        5.17982427091863,
        5.179844773768557,
        5.179864799808021,
        5.179885302657949,
        5.179905805507876,
        5.17992583154734,
        5.179946334397267,
        5.1799668372471945,
        5.179986863286659,
        5.180007366136587,
        5.180027868986514,
        5.180048371836441,
        5.180068397875905,
        5.180088900725832,
        5.18010940357576,
        5.180129429615224,
        5.180149932465151,
        5.180170435315079,
        5.180190461354543,
        5.180210964204471,
        5.180231467054398,
        5.180251493093862,
        5.180271995943789,
        5.180292021983253,
        5.18031252483318,
        5.180333027683108,
        5.180353053722572,
        5.1803735565724995,
        5.180394059422427,
        5.180414085461891,
        5.180434588311818,
        5.180454614351282,
        5.18047511720121,
        5.180495620051137,
        5.180515646090601,
        5.180536148940528,
        5.180556174979992,
        5.18057667782992,
        5.180597180679848,
        5.180617206719312,
        5.180637709569239,
        5.180657735608703,
        5.18067823845863,
        5.180698741308557,
        5.180718767348021,
        5.180739270197949,
        5.180759296237413,
        5.1807797990873405,
        5.180799825126805,
        5.180820327976732,
        5.180840354016196,
        5.180860856866123,
        5.180880882905587,
        5.180901385755514,
        5.180921888605442,
        5.180941914644906,
        5.180962417494833,
        5.1809824435342975,
        5.181002946384225,
        5.181022972423689,
        5.181043475273616,
        5.18106350131308,
        5.181084004163008,
        5.181104030202472,
        5.181124533052399,
        5.181144559091863,
        5.18116506194179,
        5.181185087981254,
        5.1812051140207185,
        5.181225616870646,
        5.18124564291011,
        5.181266145760038,
        5.181286171799502,
        5.181306674649429,
        5.181326700688893,
        5.18134720353882,
        5.181367229578284,
        5.181387732428211,
        5.181407758467675,
        5.1814277845071395,
        5.181448287357067,
        5.181468313396531,
        5.181488816246459,
        5.181508842285923,
        5.18152934513585,
        5.181549371175314,
        5.181569397214778,
        5.181589900064705,
        5.181609926104169,
        5.181630428954096,
        5.1816504549935605,
        5.1816704810330245,
        5.181690983882952,
        5.181711009922416,
        5.18173103596188,
        5.181751538811808,
        5.181771564851272,
        5.181792067701199,
        5.181812093740663,
        5.181832119780127,
        5.181852622630054,
        5.181872648669518,
        5.181892674708982,
        5.18191317755891,
        5.181933203598374,
        5.181953229637838,
        5.181973732487765,
        5.181993758527229,
        5.182013784566693,
        5.182034287416621,
        5.182054313456084,
        5.182074339495548,
        5.182094842345476,
        5.18211486838494,
        5.182134894424404,
        5.1821549204638675,
        5.1821754233137955,
        5.18219544935326,
        5.182215475392724,
        5.182235978242651,
        5.182256004282115,
        5.182276030321579,
        5.182296056361043,
        5.18231655921097,
        5.182336585250434,
        5.182356611289898,
        5.182376637329362,
        5.182397140179289,
        5.1824171662187535,
        5.1824371922582175,
        5.182457218297682,
        5.182477721147609,
        5.182497747187073,
        5.182517773226537,
        5.182537799266001,
        5.182558302115928,
        5.182578328155392,
        5.182598354194856,
        5.18261838023432,
        5.182638406273784,
        5.182658909123711,
        5.1826789351631755,
        5.1826989612026395,
        5.182718987242104,
        5.182739013281568,
        5.182759516131495,
        5.182779542170959,
        5.182799568210423,
        5.182819594249887,
        5.182839620289351,
        5.182859646328815,
        5.182880149178742,
        5.182900175218206,
        5.18292020125767,
        5.182940227297134,
        5.182960253336598,
        5.182980279376062,
        5.1830003054155265,
        5.183020808265454,
        5.183040834304918,
        5.183060860344382,
        5.183080886383846,
        5.18310091242331,
        5.183120938462774,
        5.183140964502238,
        5.183160990541702,
        5.183181016581166,
        5.183201519431093,
        5.183221545470557,
        5.183241571510021,
        5.183261597549485,
        5.183281623588949,
        5.183301649628413,
        5.1833216756678775,
        5.1833417017073415,
        5.183361727746806,
        5.18338175378627,
        5.183401779825734,
        5.183421805865197,
        5.183441831904661,
        5.183462334754589,
        5.183482360794053,
        5.183502386833517,
        5.18352241287298,
        5.183542438912444,
        5.183562464951908,
        5.183582490991372,
        5.183602517030836,
        5.1836225430703005,
        5.1836425691097645,
        5.183662595149229,
        5.183682621188693,
        5.183702647228157,
        5.183722673267621,
        5.183742699307085,
        5.183762725346549,
        5.183782751386013,
        5.183802777425477,
        5.183822803464941,
        5.183842829504404,
        5.183862855543868,
        5.183882881583332,
        5.183902907622796,
        5.18392293366226,
        5.183942959701724,
        5.183962985741188,
        5.183982534970189,
        5.184002561009653,
        5.1840225870491174,
        5.1840426130885815,
        5.184062639128045,
        5.184082665167509,
        5.184102691206973,
        5.184122717246437,
        5.184142743285901,
        5.184162769325365,
        5.184182795364829,
        5.184202821404293,
        5.184222847443757,
        5.184242396672758,
        5.184262422712221,
        5.184282448751685,
        5.184302474791149,
        5.184322500830613,
        5.184342526870077,
        5.184362552909541,
        5.1843825789490054,
        5.1844026049884695,
        5.18442215421747,
        5.1844421802569345,
        5.184462206296398,
        5.184482232335862,
        5.184502258375326,
        5.18452228441479,
        5.184542310454254,
        5.184561859683255,
        5.184581885722719,
        5.184601911762183,
        5.184621937801647,
        5.184641963841111,
        5.184661989880574,
        5.184681539109575,
        5.184701565149039,
        5.184721591188503,
        5.184741617227967,
        5.184761643267431,
        5.184781192496431,
        5.184801218535895,
        5.184821244575359,
        5.1848412706148235,
        5.1848612966542875,
        5.1848808458832885,
        5.1849008719227525,
        5.184920897962217,
        5.184940924001681,
        5.184960473230681,
        5.184980499270145,
        5.185000525309609,
        5.185020551349073,
        5.185040100578074,
        5.185060126617537,
        5.185080152657001,
        5.185100178696465,
        5.185119727925466,
        5.18513975396493,
        5.185159780004394,
        5.185179806043858,
        5.185199355272858,
        5.185219381312322,
        5.185239407351786,
        5.185258956580787,
        5.185278982620251,
        5.185299008659715,
        5.185318557888715,
        5.185338583928179,
        5.185358609967643,
        5.1853786360071075,
        5.185398185236108,
        5.1854182112755725,
        5.185438237315036,
        5.1854577865440366,
        5.185477812583501,
        5.185497838622965,
        5.185517387851966,
        5.185537413891429,
        5.185557439930893,
        5.185576989159894,
        5.185597015199358,
        5.185616564428359,
        5.185636590467822,
        5.185656616507286,
        5.185676165736287,
        5.185696191775751,
        5.185716217815215,
        5.185735767044215,
        5.185755793083679,
        5.18577534231268,
        5.185795368352144,
        5.185815394391608,
        5.185834943620608,
        5.185854969660072,
        5.185874518889073,
        5.185894544928537,
        5.185914570968001,
        5.185934120197001,
        5.185954146236465,
        5.185973695465466,
        5.18599372150493,
        5.18601327073393,
        5.186033296773394,
        5.1860533228128585,
        5.186072872041859,
        5.1860928980813235,
        5.1861124473103235,
        5.1861324733497876,
        5.1861520225787885,
        5.1861720486182525,
        5.186191597847253,
        5.186211623886717,
        5.186231173115718,
        5.186251199155182,
        5.186270748384182,
        5.186290774423646,
        5.186310323652647,
        5.186330349692111,
        5.186349898921111,
        5.186369924960575,
        5.186389474189576,
        5.18640950022904,
        5.186429049458041,
        5.186449075497504,
        5.186468624726505,
        5.186488650765969,
        5.18650819999497,
        5.186528226034433,
        5.186547775263434,
        5.186567801302898,
        5.186587350531899,
        5.186606899760899,
        5.186626925800363,
        5.186646475029364,
        5.186666501068828,
        5.186686050297828,
        5.186706076337292,
        5.186725625566293,
        5.186745174795293,
        5.186765200834757,
        5.186784750063758,
        5.186804776103222,
        5.186824325332222,
        5.186844351371686,
        5.186863900600687,
        5.186883449829687,
        5.186903475869151,
        5.186923025098152,
        5.186942574327153,
        5.186962600366616,
        5.186982149595617,
        5.187002175635081,
        5.187021724864082,
        5.187041274093082,
        5.187061300132546,
        5.187080849361547,
        5.187100398590547,
        5.187120424630011,
        5.187139973859012,
        5.187159523088012,
        5.187179549127476,
        5.187199098356477,
        5.187218647585477,
        5.187238673624941,
        5.187258222853942,
        5.187277772082943,
        5.187297798122407,
        5.187317347351407,
        5.187336896580408,
        5.187356922619872,
        5.187376471848872,
        5.187396021077873,
        5.187415570306873,
        5.187435596346337,
        5.187455145575338,
        5.187474694804338,
        5.1874947208438025,
        5.187514270072803,
        5.187533819301804,
        5.187553368530804,
        5.1875733945702684,
        5.187592943799269,
        5.187612493028269,
        5.18763204225727,
        5.187652068296734,
        5.1876716175257345,
        5.187691166754735,
        5.187710715983736,
        5.1877307420231995,
        5.1877502912522,
        5.187769840481201,
        5.187789389710201,
        5.187808938939202,
        5.187828964978666,
        5.1878485142076665,
        5.187868063436667,
        5.1878876126656674,
        5.187907161894668,
        5.187927187934132,
        5.187946737163133,
        5.187966286392133,
        5.187985835621134,
        5.188005384850134,
        5.188024934079135,
        5.188044960118599,
        5.188064509347599,
        5.1880840585766,
        5.188103607805601,
        5.188123157034601,
        5.188142706263602,
        5.188162732303066,
        5.188182281532066,
        5.188201830761067,
        5.188221379990067,
        5.188240929219068,
        5.188260478448069,
        5.188280027677069,
        5.18829957690607,
        5.188319602945534,
        5.188339152174534,
        5.188358701403535,
        5.188378250632535,
        5.188397799861536,
        5.188417349090537,
        5.188436898319537,
        5.188456447548538,
        5.188475996777538,
        5.188495546006539,
        5.188515095235539,
        5.188535121275003,
        5.188554670504004,
        5.188574219733005,
        5.188593768962005,
        5.188613318191006,
        5.188632867420006,
        5.188652416649007,
        5.188671965878007,
        5.188691515107008,
        5.188711064336009,
        5.188730613565009,
        5.18875016279401,
        5.18876971202301,
        5.188789261252011,
        5.188808810481012,
        5.188828359710012,
        5.188847908939013,
        5.188867458168013,
        5.188887007397014,
        5.188906556626014,
        5.188926105855015,
        5.188945655084016,
        5.188965204313016,
        5.188984753542017,
        5.189004302771017,
        5.189023852000018,
        5.189043401229019,
        5.189062950458019,
        5.18908249968702,
        5.18910204891602,
        5.189121598145021,
        5.189141147374021,
        5.189160696603022,
        5.189180245832023,
        5.189199795061023,
        5.18921886747956,
        5.189238416708561,
        5.1892579659375615,
        5.1892775151665615,
        5.1892970643955625,
        5.1893166136245625,
        5.1893361628535635,
        5.1893557120825635,
        5.1893752613115645,
        5.189394810540565,
        5.189414359769565,
        5.189433432188102,
        5.189452981417103,
        5.189472530646104,
        5.189492079875104,
        5.189511629104105,
        5.189531178333105,
        5.189550727562106,
        5.189570276791107,
        5.189589349209644,
        5.189608898438644,
        5.196433725006927,
        5.204076758330453,
        5.204144942226724,
        5.204167829128968,
        5.204190716031213,
        5.204213602933457,
        5.204236489835702,
        5.204258899927483,
        5.2042817868297275,
        5.204304673731972,
        5.2043275606342165,
        5.204349970725998,
        5.204372857628242,
        5.204395744530487,
        5.204418631432731,
        5.204441041524512,
        5.204463928426757,
        5.204486815329002,
        5.204509702231246,
        5.204532112323027,
        5.204554999225271,
        5.204577886127517,
        5.204600773029761,
        5.204623183121542,
        5.204646070023786,
        5.204668956926031,
        5.204691367017812,
        5.204714253920057,
        5.204737140822301,
        5.204760027724546,
        5.204782437816327,
        5.2048053247185715,
        5.204828211620816,
        5.204850621712597,
        5.204873508614842,
        5.204896395517086,
        5.204918805608868,
        5.204941692511112,
        5.204964579413357,
        5.204986989505138,
        5.205009876407383,
        5.205032763309627,
        5.2050551734014086,
        5.205078060303653,
        5.2051009472058976,
        5.205123357297678,
        5.205146244199923,
        5.205169131102168,
        5.2051915411939484,
        5.205214428096193,
        5.2052373149984374,
        5.205259725090219,
        5.205282611992463,
        5.205305498894708,
        5.205327908986489,
        5.205350795888734,
        5.205373205980515,
        5.20539609288276,
        5.205418979785004,
        5.2054413898767855,
        5.20546427677903,
        5.2054866868708105,
        5.205509573773055,
        5.2055324606753,
        5.205554870767081,
        5.205577757669325,
        5.205668351657377,
        5.205691238559622,
        5.205713648651403,
        5.205736535553648,
        5.205758945645428,
        5.2057818325476735,
        5.205804242639454,
        5.2058271295416985,
        5.205850016443943,
        5.205872426535724,
        5.205895313437969,
        5.20591772352975,
        5.205940610431995,
        5.205963020523776,
        5.205985907426021,
        5.206008317517801,
        5.2060312044200465,
        5.206053614511827,
        5.2060765014140715,
        5.206098911505853,
        5.206121798408097,
        5.206144208499879,
        5.206167095402123,
        5.206189505493905,
        5.206212392396149,
        5.20623480248793,
        5.206257689390174,
        5.206280099481956,
        5.2063029863842,
        5.2063253964759815,
        5.206348283378226,
        5.206370693470007,
        5.206393580372252,
        5.206415990464033,
        5.206438877366278,
        5.206461287458058,
        5.20648369754984,
        5.206506584452084,
        5.2065289945438655,
        5.20655188144611,
        5.206574291537891,
        5.206597178440136,
        5.206619588531916,
        5.206642475434162,
        5.206664885525942,
        5.206687295617724,
        5.206710182519968,
        5.20673259261175,
        5.206755479513994,
        5.2067778896057755,
        5.206800299697556,
        5.2068231865998005,
        5.206845596691582,
        5.206868483593826,
        5.206890893685608,
        5.206913303777389,
        5.206936190679634,
        5.206958600771414,
        5.206981487673659,
        5.20700389776544,
        5.207026307857221,
        5.207049194759466,
        5.207071604851247,
        5.207094014943028,
        5.207116901845272,
        5.207139311937054,
        5.207161722028835,
        5.20718460893108,
        5.207207019022861,
        5.2072299059251055,
        5.207252316016886,
        5.207274726108667,
        5.207297613010912,
        5.207320023102693,
        5.207342433194475,
        5.207365320096719,
        5.2073877301885,
        5.207410140280281,
        5.207432550372062,
        5.207455437274307,
        5.207477847366088,
        5.207500257457869,
        5.207523144360113,
        5.207545554451895,
        5.207567964543676,
        5.207590851445921,
        5.207613261537702,
        5.207928433254028,
        5.207951320156273,
        5.207973730248053,
        5.2079961403398345,
        5.208018550431616,
        5.20804143733386,
        5.208063847425642,
        5.208086257517422,
        5.208108667609204,
        5.208131077700985,
        5.2081539646032295,
        5.208176374695011,
        5.208198784786791,
        5.208221194878573,
        5.208243604970354,
        5.208266491872599,
        5.20828890196438,
        5.208311312056161,
        5.208333722147942,
        5.208356132239723,
        5.208379019141968,
        5.208401429233748,
        5.20842383932553,
        5.208446249417311,
        5.2084686595090925,
        5.208491069600873,
        5.2085139565031175,
        5.208536366594899,
        5.20855877668668,
        5.208581186778462,
        5.208603596870242,
        5.208626006962024,
        5.212669359691897,
        5.217702570943847,
        5.217724504225164,
        5.217745960696019,
        5.217767893977337,
        5.217789827258654,
        5.2178112837295085,
        5.217833217010827,
        5.217855150292144,
        5.2178766067629985,
        5.217898540044316,
        5.217920473325634,
        5.217941929796488,
        5.217963863077806,
        5.217985796359123,
        5.2180072528299775,
        5.218029186111296,
        5.218051119392613,
        5.218072575863467,
        5.218094509144785,
        5.218116442426103,
        5.218137898896957,
        5.218159832178275,
        5.218181765459593,
        5.218203221930447,
        5.218225155211765,
        5.218247088493082,
        5.218268544963936,
        5.218290478245255,
        5.218311934716109,
        5.218333867997426,
        5.218355801278744,
        5.218377257749598,
        5.218399191030916,
        5.2184206475017705,
        5.218442580783088,
        5.218464514064405,
        5.2184859705352595,
        5.218507903816578,
        5.218529360287432,
        5.2185512935687495,
        5.218572750039604,
        5.218594683320922,
        5.218616616602239,
        5.218638073073094,
        5.218660006354411,
        5.218681462825265,
        5.218703396106584,
        5.218724852577438,
        5.218746785858755,
        5.21876824232961,
        5.218790175610927,
        5.218812108892245,
        5.2188335653630995,
        5.218855498644417,
        5.218876955115271,
        5.2188988883965886,
        5.218920344867443,
        5.218942278148761,
        5.218963734619615,
        5.218985667900933,
        5.219007124371787,
        5.219029057653105,
        5.21905051412396,
        5.219072447405277,
        5.219093903876131,
        5.219115837157449,
        5.219137293628303,
        5.219159226909621,
        5.2191806833804755,
        5.21920213985133,
        5.219224073132647,
        5.219245529603501,
        5.219267462884819,
        5.219288919355673,
        5.219310852636991,
        5.219332309107846,
        5.219354242389163,
        5.219375698860017,
        5.219397155330872,
        5.219419088612189,
        5.219440545083043,
        5.2194624783643615,
        5.219483934835216,
        5.219505868116533,
        5.219527324587387,
        5.219548781058242,
        5.21957071433956,
        5.219592170810414,
        5.219614104091732,
        5.219635560562586,
        5.21965701703344,
        5.219678950314758,
        5.219700406785612,
        5.21972234006693,
        5.219743796537784,
        5.219765253008639,
        5.219787186289956,
        5.21980864276081,
        5.219830099231665,
        5.219852032512982,
        5.219873488983836,
        5.219894945454691,
        5.219916878736009,
        5.219938335206863,
        5.2199602684881805,
        5.219981724959035,
        5.220003181429889,
        5.2200251147112064,
        5.220046571182061,
        5.220284022792849,
        5.220305479263703,
        5.2203274125450205,
        5.220348869015875,
        5.220370325486729,
        5.2203922587680465,
        5.220413715238901,
        5.220435171709755,
        5.220456628180609,
        5.220478561461928,
        5.220500017932782,
        5.220521474403636,
        5.22054293087449,
        5.220564864155808,
        5.220586320626662,
        5.220607777097516,
        5.220629233568371,
        5.220650690039225,
        5.220672623320542,
        5.2206940797913965,
        5.220715536262251,
        5.220736992733105,
        5.220758926014423,
        5.220780382485278,
        5.220801838956132,
        5.220823295426986,
        5.2208447518978405,
        5.220866685179158,
        5.220888141650012,
        5.220909598120866,
        5.220931054591721,
        5.220952511062575,
        5.220973967533429,
        5.2209959008147475,
        5.221017357285602,
        5.221038813756456,
        5.22106027022731,
        5.2211465729211906,
        5.221168029392045,
        5.221189485862899,
        5.221210942333753,
        5.221232398804608,
        5.221253855275462,
        5.221275311746316,
        5.221297245027634,
        5.221318701498488,
        5.221340157969342,
        5.221361614440196,
        5.221383070911051,
        5.221404527381905,
        5.221425983852759,
        5.2214474403236135,
        5.221468896794468,
        5.221490353265322,
        5.221511809736176,
        5.221533743017495,
        5.221555199488349,
        5.221576655959203,
        5.2215981124300574,
        5.221619568900912,
        5.221641025371766,
        5.22166248184262,
        5.2216839383134745,
        5.221705394784329,
        5.221726851255183,
        5.221748307726037,
        5.221769764196892,
        5.221791220667746,
        5.2218126771386,
        5.2218341336094545,
        5.221855590080309,
        5.221877046551163,
        5.221898503022017,
        5.221919959492872,
        5.221941415963726,
        5.22196287243458,
        5.221984328905434,
        5.222005785376289,
        5.222027241847143,
        5.222048698317997,
        5.2220701547888515,
        5.222091611259706,
        5.22211306773056,
        5.222134524201414,
        5.222155980672269,
        5.222177437143123,
        5.222198893613977,
        5.222220350084831,
        5.222241806555686,
        5.22226326302654,
        5.222284719497394,
        5.2223061759682485,
        5.222327632439103,
        5.222349088909957,
        5.222370545380811,
        5.222392001851666,
        5.22241345832252,
        5.222434437982911,
        5.222455894453765,
        5.22247735092462,
        5.222498807395474,
        5.222520263866328,
        5.2225417203371824,
        5.222563176808037,
        5.222584633278891,
        5.222606089749745,
        5.2226275462205995,
        5.22264852588099,
        5.222669982351844,
        5.222905526720778,
        5.222926983191632,
        5.2229479628520235,
        5.222969419322878,
        5.222990875793732,
        5.223012332264586,
        5.2230337887354406,
        5.223055245206295,
        5.223076224866685,
        5.223097681337539,
        5.223119137808394,
        5.223140594279248,
        5.223162050750102,
        5.223183030410493,
        5.223204486881348,
        5.223225943352202,
        5.223247399823056,
        5.2232688562939105,
        5.223289835954302,
        5.223311292425156,
        5.22333274889601,
        5.2233542053668645,
        5.223375185027255,
        5.223396641498109,
        5.223418097968963,
        5.223439554439818,
        5.223460534100209,
        5.223481990571063,
        5.223503447041917,
        5.2235249035127715,
        5.223545883173163,
        5.223567339644017,
        5.223588796114871,
        5.2236102525857255,
        5.223631232246116,
        5.22365268871697,
        5.223674145187824,
        5.2236951248482155,
        5.22371658131907,
        5.223738037789924,
        5.223759017450315,
        5.2237804739211695,
        5.223801930392024,
        5.223822910052414,
        5.223844366523268,
        5.223865822994123,
        5.223887279464977,
        5.223908259125368,
        5.223929715596222,
        5.223951172067077,
        5.223972151727468,
        5.223993608198322,
        5.224014587858712,
        5.224036044329567,
        5.224057500800421,
        5.224078480460812,
        5.224099936931666,
        5.224121393402521,
        5.224142373062911,
        5.224163829533765,
        5.22418528600462,
        5.224440379602554,
        5.224589144467144,
        5.224610124127534,
        5.2246315805983885,
        5.22465256025878,
        5.224674016729634,
        5.224694996390025,
        5.224716452860879,
        5.22473743252127,
        5.224758888992124,
        5.224779868652515,
        5.224801325123369,
        5.2248223047837605,
        5.224843761254615,
        5.224864740915005,
        5.224886197385859,
        5.2249071770462505,
        5.224928633517105,
        5.224949613177496,
        5.22497106964835,
        5.2249920493087405,
        5.225013505779595,
        5.225034485439986,
        5.22505594191084,
        5.225076921571231,
        5.225098378042086,
        5.225119357702476,
        5.22514081417333,
        5.225161793833721,
        5.225183250304576,
        5.225204229964967,
        5.225225209625357,
        5.225246666096211,
        5.2252676457566025,
        5.225289102227457,
        5.225310081887847,
        5.225331538358701,
        5.2253525180190925,
        5.225373497679484,
        5.225394954150338,
        5.225415933810728,
        5.2254373902815825,
        5.225458369941974,
        5.225479349602365,
        5.225500806073219,
        5.225521785733609,
        5.225543242204464,
        5.225564221864855,
        5.225585201525246,
        5.2256066579961,
        5.2256276376564905,
        5.225648617316882,
        5.225670073787736,
        5.225691053448127,
        5.225712033108517,
        5.225733489579372,
        5.225754469239763,
        5.225775448900154,
        5.225796905371008,
        5.2258178850313985,
        5.22583886469179,
        5.225860321162644,
        5.225881300823035,
        5.225902280483425,
        5.22592373695428,
        5.225944716614671,
        5.225965696275061,
        5.225987152745915,
        5.226008132406307,
        5.226029112066698,
        5.226050568537552,
        5.226071548197942,
        5.2260925278583334,
        5.226113507518725,
        5.226134963989579,
        5.226155943649969,
        5.22617692331036,
        5.226198379781215,
        5.226219359441606,
        5.226240339101996,
        5.226261318762387,
        5.2262827752332415,
        5.226303754893633,
        5.226324734554023,
        5.226345714214414,
        5.226367170685268,
        5.2263881503456595,
        5.22640913000605,
        5.226430109666441,
        5.226451089326832,
        5.226472545797686,
        5.226493525458077,
        5.226514505118468,
        5.226535484778858,
        5.226556941249712,
        5.2265779209101035,
        5.226598900570495,
        5.226619880230885,
        5.226640859891276,
        5.226661839551667,
        5.226683296022522,
        5.226704275682912,
        5.226725255343303,
        5.226746235003694,
        5.2267672146640844,
        5.226788194324476,
        5.22680965079533,
        5.226830630455721,
        5.226851610116111,
        5.2268725897765025,
        5.226893569436894,
        5.226914549097284,
        5.226936005568138,
        5.226956985228529,
        5.2269779648889205,
        5.226998944549311,
        5.227019924209702,
        5.227040903870092,
        5.227061883530483,
        5.227082863190875,
        5.227103842851265,
        5.227125299322119,
        5.22714627898251,
        5.227167258642901,
        5.227188238303292,
        5.227209217963683,
        5.227230197624074,
        5.227251177284464,
        5.2272721569448555,
        5.227293136605247,
        5.227314116265637,
        5.227335095926028,
        5.227356075586419,
        5.2273770552468095,
        5.227398511717664,
        5.227419491378055,
        5.227440471038446,
        5.227461450698836,
        5.2274824303592275,
        5.227503410019618,
        5.227524389680009,
        5.2275453693404,
        5.22756634900079,
        5.227587328661182,
        5.227608308321573,
        5.227629287981963,
        5.227650267642354,
        5.227671247302745,
        5.227692226963136,
        5.227713206623527,
        5.227734186283918,
        5.227755165944308,
        5.227776145604699,
        5.2277971252650905,
        5.227818104925481,
        5.227839084585872,
        5.227860064246262,
        5.227881043906653,
        5.227902023567045,
        5.227923003227435,
        5.227943982887826,
        5.227964962548217,
        5.227985465398144,
        5.2280064450585355,
        5.228027424718926,
        5.228048404379317,
        5.228069384039708,
        5.228090363700098,
        5.2281113433604895,
        5.228132323020881,
        5.228153302681271,
        5.228174282341662,
        5.228195262002053,
        5.228509003286989,
        5.2285299829473795,
        5.228550962607771,
        5.228571465457698,
        5.228592445118089,
        5.228613424778479,
        5.22863440443887,
        5.228655384099262,
        5.228676363759652,
        5.22869686660958,
        5.22871784626997,
        5.228738825930361,
        5.2287598055907525,
        5.228780785251143,
        5.228801288101071,
        5.228822267761461,
        5.228843247421852,
        5.2288642270822425,
        5.228885206742634,
        5.228905709592561,
        5.228926689252952,
        5.228947668913343,
        5.2289686485737334,
        5.2289891514236615,
        5.229010131084052,
        5.229031110744443,
        5.229052090404834,
        5.229073070065224,
        5.229093572915152,
        5.229114552575543,
        5.229135532235934,
        5.229156035085861,
        5.229177014746252,
        5.2291979944066425,
        5.229218974067034,
        5.229239476916961,
        5.229260456577352,
        5.229281436237743,
        5.229302415898133,
        5.229322918748061,
        5.229343898408452,
        5.229364878068843,
        5.22938538091877,
        5.229406360579161,
        5.2294273402395515,
        5.2294478430894795,
        5.22946882274987,
        5.229489802410261,
        5.229510305260188,
        5.229531284920579,
        5.2295522645809704,
        5.229572767430898,
        5.229593747091289,
        5.229614726751679,
        5.229635229601607,
        5.229656209261997,
        5.2296771889223885,
        5.229697691772316,
        5.229718671432707,
        5.229739174282634,
        5.229760153943025,
        5.2297811336034155,
        5.2298016364533435,
        5.229822616113734,
        5.229843595774125,
        5.229864098624052,
        5.229885078284443,
        5.22990558113437,
        5.229926560794762,
        5.229947540455153,
        5.22996804330508,
        5.22998902296547,
        5.230009525815398,
        5.2300305054757885,
        5.230051008325717,
        5.230071987986107,
        5.230092967646498,
        5.230113470496425,
        5.230134450156816,
        5.2301549530067435,
        5.230175932667135,
        5.230196435517062,
        5.230217415177453,
        5.23023791802738,
        5.230258897687771,
        5.2302794005376985,
        5.23030038019809,
        5.23032135985848,
        5.230341862708408,
        5.230362842368798,
        5.230383345218726,
        5.2304043248791166,
        5.230424827729045,
        5.230445807389435,
        5.230466310239362,
        5.230487289899753,
        5.23050779274968,
        5.230528295599608,
        5.230549275259999,
        5.230569778109927,
        5.230590757770317,
        5.230611260620245,
        5.230632240280635,
        5.230652743130563,
        5.230673722790954,
        5.230694225640881,
        5.230715205301272,
        5.230735708151199,
        5.23075668781159,
        5.2307771906615175,
        5.2307976935114455,
        5.230818673171836,
        5.230839176021764,
        5.230860155682154,
        5.230880658532082,
        5.2309016381924724,
        5.2309221410424,
        5.230942643892328,
        5.230963623552718,
        5.230984126402646,
        5.231005106063036,
        5.231025608912964,
        5.2310461117628915,
        5.231067091423283,
        5.23108759427321,
        5.231108097123137,
        5.231129076783528,
        5.231149579633455,
        5.2311705592938464,
        5.231191062143774,
        5.231211564993701,
        5.231232544654092,
        5.231253047504019,
        5.231273550353947,
        5.231294530014337,
        5.2313150328642655,
        5.231335535714193,
        5.231356515374583,
        5.231377018224511,
        5.231397521074438,
        5.231418500734829,
        5.231439003584756,
        5.231459506434684,
        5.231480486095075,
        5.231500988945002,
        5.23152149179493,
        5.231541994644857,
        5.231562974305247,
        5.2315834771551755,
        5.231603980005103,
        5.231624959665494,
        5.231645462515421,
        5.231665965365348,
        5.231686468215276,
        5.231707447875666,
        5.231727950725594,
        5.231748453575522,
        5.231768956425449,
        5.23178993608584,
        5.231810438935767,
        5.231830941785694,
        5.231851444635622,
        5.231872424296013,
        5.231892927145941,
        5.231913429995868,
        5.231933932845795,
        5.231954435695722,
        5.231975415356113,
        5.2319959182060405,
        5.2320164210559685,
        5.232036923905896,
        5.232057426755823,
        5.232078406416214,
        5.232098909266141,
        5.232119412116068,
        5.232139914965996,
        5.232160417815924,
        5.232181397476315,
        5.232201900326242,
        5.232222403176169,
        5.232242906026097,
        5.232263408876024,
        5.232283911725951
    ],
    "flux": [
        2.07603,
        2.12544,
        2.12398,
        2.13199,
        2.05419,
        2.07499,
        2.04838,
        2.02792,
        2.13987,
        2.18667,
        2.0825,
        2.08598,
        2.12575,
        2.01528,
        2.00191,
        2.06812,
        2.10805,
        2.03232,
        2.02023,
        1.96907,
        2.03399,
        2.06429,
        1.76582,
        2.05633,
        2.27936,
        2.17032,
        2.17175,
        2.15064,
        2.04846,
        1.97342,
        2.11386,
        2.0414,
        1.87662,
        1.8971,
        2.02663,
        2.09166,
        1.95292,
        1.9462,
        2.00095,
        1.82208,
        2.05289,
        2.02908,
        2.22369,
        2.13794,
        2.017,
        2.01565,
        2.02316,
        2.05491,
        2.03911,
        2.00802,
        2.09268,
        2.04128,
        1.99024,
        2.00358,
        1.98923,
        1.96485,
        2.03585,
        2.07981,
        2.13504,
        2.11338,
        2.0593,
        2.00449,
        1.91685,
        2.05022,
        2.10819,
        1.88443,
        1.93868,
        1.72858,
        1.91105,
        2.0811,
        2.04554,
        2.01435,
        2.09954,
        2.14363,
        2.16954,
        2.13758,
        2.05465,
        2.0724,
        2.06285,
        2.01041,
        2.00652,
        2.04374,
        2.02124,
        2.07474,
        2.08449,
        2.06856,
        2.06667,
        2.03136,
        2.12178,
        1.88851,
        1.90963,
        2.00085,
        2.13812,
        2.20275,
        2.06958,
        2.09925,
        2.12719,
        2.06292,
        1.96632,
        2.07011,
        2.03036,
        1.83222,
        1.92861,
        2.01367,
        2.02018,
        2.20117,
        2.20417,
        2.11537,
        2.16567,
        2.1042,
        1.93703,
        1.77353,
        1.98356,
        2.09465,
        2.03606,
        2.09508,
        2.03818,
        2.0202,
        2.05737,
        2.07821,
        2.03823,
        2.05745,
        2.1179,
        2.1164,
        2.10216,
        2.13627,
        2.11834,
        2.07803,
        2.02023,
        2.02798,
        2.03235,
        2.06437,
        2.07691,
        2.09205,
        2.05899,
        2.07314,
        2.10398,
        2.13344,
        2.07863,
        2.10858,
        2.08938,
        2.11554,
        2.09759,
        2.08706,
        2.07501,
        2.06308,
        2.05404,
        2.01801,
        2.04732,
        2.14103,
        2.20984,
        2.26512,
        2.05909,
        1.9509,
        1.92076,
        2.08446,
        2.11356,
        2.03485,
        2.02781,
        2.04161,
        1.94048,
        1.92826,
        2.06033,
        2.1022,
        2.09139,
        2.17138,
        2.25051,
        2.19531,
        2.11969,
        2.10803,
        2.04778,
        1.97311,
        1.97935,
        2.01908,
        1.98256,
        2.02975,
        2.08842,
        2.11177,
        2.14239,
        2.10796,
        2.07751,
        2.04921,
        2.08125,
        2.08966,
        2.10654,
        2.13417,
        2.12322,
        2.12475,
        2.13356,
        2.08507,
        2.03926,
        2.07765,
        2.10397,
        2.06218,
        2.04634,
        2.00134,
        2.03786,
        2.05961,
        2.038,
        2.07161,
        2.12428,
        2.09558,
        2.16326,
        2.10219,
        2.08678,
        2.13098,
        2.11094,
        2.09256,
        2.02691,
        1.98264,
        2.13855,
        2.09702,
        1.83073,
        1.9321,
        1.8171,
        1.91988,
        1.98025,
        2.28975,
        2.01748,
        1.99707,
        1.96772,
        2.08825,
        2.11901,
        1.97967,
        2.01629,
        2.10612,
        2.01228,
        2.01407,
        2.04636,
        2.16003,
        2.15851,
        2.0743,
        2.07319,
        2.01933,
        1.99969,
        1.9983,
        2.03436,
        2.15616,
        2.14158,
        2.03896,
        2.00125,
        2.10361,
        2.04705,
        2.05145,
        2.13453,
        2.06363,
        2.04682,
        1.99091,
        2.00028,
        2.01849,
        2.01751,
        2.10847,
        2.08339,
        2.05817,
        2.07025,
        2.0473,
        2.06472,
        2.12508,
        2.08955,
        2.07753,
        2.12497,
        2.13038,
        2.09419,
        2.01925,
        2.06117,
        2.04343,
        1.97486,
        1.95476,
        2.04641,
        1.99554,
        2.03921,
        2.1333,
        2.1303,
        2.0811,
        2.08407,
        1.94255,
        1.98824,
        2.10152,
        2.20043,
        1.91949,
        1.94056,
        1.78347,
        2.35743,
        2.48765,
        2.64416,
        2.47117,
        2.56573,
        2.62246,
        2.65483,
        2.72681,
        2.69568,
        2.78812,
        2.69858,
        2.71949,
        2.73382,
        2.52893,
        2.48269,
        2.56869,
        2.41149,
        2.39453,
        2.31842,
        2.21713,
        2.1884,
        2.12178,
        2.14805,
        2.10679,
        2.10511,
        2.14777,
        2.10263,
        2.1043,
        2.16742,
        2.16017,
        2.16533,
        2.19314,
        2.09554,
        2.04736,
        2.06845,
        2.05729,
        2.11042,
        2.02137,
        2.02905,
        2.05119,
        2.06816,
        2.09933,
        2.03292,
        2.01661,
        2.01324,
        2.03522,
        1.95865,
        1.94515,
        2.00302,
        1.94227,
        2.09303,
        2.0263,
        1.98116,
        2.01818,
        2.12477,
        1.98786,
        1.81374,
        2.0566,
        1.97677,
        2.02816,
        2.04737,
        1.92202,
        1.83636,
        2.11771,
        2.06542,
        1.92883,
        1.88137,
        2.07175,
        2.08545,
        2.01166,
        1.96431,
        1.94936,
        2.09072,
        2.14649,
        2.10099,
        2.12515,
        2.09724,
        2.1013,
        2.08812,
        2.10041,
        2.00236,
        2.07066,
        2.02637,
        2.06087,
        2.08147,
        2.10416,
        2.10862,
        2.0595,
        2.06825,
        2.0629,
        2.08148,
        2.04872,
        2.07787,
        2.07758,
        2.02534,
        2.10693,
        2.11632,
        2.05335,
        2.0928,
        2.13619,
        2.12789,
        2.10089,
        2.08847,
        2.11253,
        2.12384,
        2.11227,
        2.06363,
        2.11832,
        2.1362,
        2.1239,
        2.05051,
        2.04104,
        2.07506,
        2.06865,
        2.07123,
        2.11006,
        2.1006,
        1.98481,
        1.97539,
        2.09303,
        2.1092,
        2.1187,
        2.07791,
        2.02134,
        2.0062,
        2.06229,
        2.04512,
        2.13275,
        2.21514,
        2.07465,
        2.19568,
        2.14407,
        2.00519,
        2.14834,
        1.91338,
        1.96598,
        2.05968,
        2.05714,
        2.04378,
        2.02577,
        2.05399,
        2.07652,
        2.12844,
        2.0891,
        2.09583,
        2.07093,
        2.14318,
        2.14261,
        2.07959,
        2.06762,
        2.11664,
        2.08409,
        2.04881,
        2.14697,
        2.10976,
        2.02444,
        2.04321,
        2.05279,
        2.12447,
        2.05514,
        2.06132,
        2.06003,
        2.07766,
        2.07432,
        2.06485,
        2.04605,
        2.06992,
        2.02465,
        2.04114,
        2.06527,
        2.06229,
        2.12406,
        2.02014,
        1.98269,
        2.04995,
        2.03306,
        2.00806,
        2.01103,
        1.98928,
        2.00996,
        1.91208,
        1.95118,
        1.98714,
        1.85502,
        2.05738,
        1.98362,
        1.95604,
        2.06719,
        1.9471,
        1.99899,
        2.05284,
        2.10959,
        2.02849,
        2.01904,
        1.94479,
        2.01723,
        2.03392,
        2.02637,
        2.19461,
        2.06297,
        2.05819,
        1.87486,
        1.98294,
        2.05303,
        2.08186,
        2.03367,
        1.94555,
        2.09432,
        2.11847,
        2.10394,
        2.04512,
        2.11523,
        2.09805,
        2.07506,
        2.07256,
        2.09821,
        2.03457,
        2.03654,
        2.0038,
        2.17759,
        2.2252,
        2.18897,
        2.25625,
        2.19969,
        2.2254,
        2.24068,
        2.21358,
        2.27119,
        2.23205,
        2.25042,
        2.24637,
        2.23477,
        2.27981,
        2.36139,
        2.38387,
        2.33438,
        2.3749,
        2.30845,
        2.3305,
        2.45789,
        2.39271,
        2.61404,
        2.69617,
        2.82802,
        2.97665,
        2.90967,
        2.90003,
        2.88021,
        2.73608,
        2.71348,
        2.62167,
        2.58824,
        2.53039,
        2.42893,
        2.39816,
        2.34169,
        2.2529,
        2.25748,
        2.21161,
        2.16427,
        2.11914,
        2.13941,
        2.11249,
        2.13175,
        2.1301,
        2.01854,
        1.93341,
        2.02505,
        2.05135,
        1.91913,
        1.8618,
        1.93219,
        1.90888,
        1.97239,
        1.82345,
        2.19017,
        1.97,
        1.82517,
        1.93367,
        2.06539,
        2.12538,
        2.05497,
        2.09046,
        2.07624,
        2.06394,
        2.12501,
        2.07846,
        1.9944,
        2.06552,
        1.98576,
        1.92648,
        2.0465,
        2.12126,
        2.08601,
        2.13156,
        2.08598,
        2.06916,
        2.01373,
        2.00147,
        2.11401,
        2.04608,
        1.90096,
        2.00294,
        1.91925,
        2.08626,
        1.72741,
        2.15391,
        2.31665,
        2.17083,
        2.15528,
        2.07474,
        2.04385,
        2.07146,
        2.09317,
        2.11091,
        2.06385,
        2.04965,
        2.0609,
        2.02482,
        2.02914,
        2.13012,
        2.09272,
        2.05085,
        2.08333,
        2.08229,
        2.14897,
        2.14551,
        1.96825,
        2.08197,
        2.04583,
        2.0373,
        2.03045,
        2.07701,
        1.97356,
        1.98148,
        2.04327,
        2.06186,
        1.9428,
        1.95176,
        1.97074,
        2.00579,
        2.1219,
        2.04371,
        2.10893,
        2.02902,
        2.11507,
        2.20438,
        1.96036,
        1.99109,
        2.1849,
        2.02209,
        2.20962,
        2.10658,
        2.07774,
        2.04231,
        2.07072,
        1.98825,
        1.99392,
        2.05166,
        2.11084,
        2.11605,
        1.95845,
        1.86728,
        1.74114,
        1.81662,
        2.39935,
        2.42612,
        2.10876,
        2.11185,
        2.09018,
        2.0698,
        2.06649,
        2.09693,
        2.01675,
        2.03865,
        2.06805,
        2.0802,
        2.06026,
        2.10161,
        2.11091,
        2.06829,
        2.07429,
        2.08743,
        2.03935,
        2.08573,
        2.05109,
        2.10932,
        2.07363,
        2.01181,
        2.06515,
        2.06096,
        2.08508,
        2.06418,
        2.0678,
        2.04917,
        2.07991,
        2.07528,
        2.00889,
        2.04217,
        2.0206,
        2.05511,
        2.11988,
        2.09508,
        2.06209,
        2.07222,
        2.05968,
        2.05031,
        2.02241,
        2.07967,
        2.07972,
        2.04551,
        2.00861,
        2.06879,
        2.1105,
        2.10014,
        2.14011,
        2.06477,
        1.8245,
        1.77184,
        1.70109,
        2.10376,
        1.98047,
        2.07666,
        2.11195,
        2.05892,
        2.09514,
        2.12124,
        2.12951,
        1.95206,
        1.9995,
        2.09125,
        1.9868,
        2.05568,
        2.14393,
        2.1638,
        2.09655,
        2.0378,
        2.10491,
        2.12234,
        2.25575,
        2.16539,
        2.05549,
        2.0978,
        2.07582,
        2.10998,
        2.12879,
        2.07358,
        2.11842,
        2.11166,
        2.11842,
        2.12332,
        2.10874,
        2.11215,
        2.07007,
        2.08283,
        1.95926,
        2.01056,
        1.83443,
        1.96643,
        1.98452,
        2.02205,
        2.09205,
        2.17655,
        2.19871,
        2.18926,
        2.19403,
        2.21605,
        2.17598,
        2.19165,
        2.24671,
        2.28298,
        2.2849,
        2.27851,
        2.26947,
        2.34484,
        2.34699,
        2.34495,
        2.29203,
        2.32736,
        2.34569,
        2.53512,
        2.53101,
        2.4783,
        2.54218,
        2.6131,
        2.66641,
        2.73403,
        2.95254,
        2.8337,
        2.79864,
        2.75839,
        2.6848,
        2.66164,
        2.06305,
        2.03107,
        2.13547,
        1.96314,
        2.10964,
        1.99263,
        1.95105,
        1.95604,
        2.11466,
        2.11278,
        2.08274,
        2.01684,
        1.97207,
        2.11221,
        2.12333,
        2.1185,
        2.09315,
        2.08779,
        2.09952,
        2.06497,
        2.03031,
        2.04357,
        2.13586,
        2.06672,
        2.07934,
        2.07379,
        2.12622,
        2.11784,
        2.06404,
        2.06403,
        2.07864,
        2.1472,
        2.14118,
        2.10761,
        2.07505,
        2.08785,
        2.07997,
        2.08948,
        2.06845,
        2.07831,
        2.07337,
        2.09249,
        2.10808,
        2.09255,
        2.11851,
        2.10673,
        2.13559,
        2.13705,
        2.1263,
        2.1232,
        2.13829,
        2.0968,
        2.09127,
        2.04257,
        2.04667,
        2.0518,
        1.98148,
        2.01372,
        2.11415,
        2.14361,
        2.11319,
        2.05557,
        2.08816,
        2.04024,
        2.04007,
        2.02364,
        2.05526,
        2.1515,
        2.04884,
        2.07825,
        2.01595,
        2.06088,
        2.07456,
        1.95809,
        2.0115,
        1.98225,
        1.9891,
        2.01566,
        1.96522,
        2.05538,
        2.05983,
        1.93327,
        2.04597,
        1.99588,
        2.1392,
        2.11564,
        2.08176,
        2.14189,
        2.11066,
        2.05137,
        2.09588,
        2.12499,
        2.08832,
        2.09299,
        2.09607,
        2.07611,
        2.08249,
        2.10797,
        2.07582,
        2.06631,
        2.05914,
        2.1397,
        2.11687,
        2.05292,
        2.03674,
        2.06112,
        2.09509,
        2.14711,
        2.11327,
        2.08485,
        2.07725,
        2.09947,
        2.07107,
        2.07315,
        2.08214,
        2.11481,
        2.11223,
        2.11912,
        2.08917,
        2.09084,
        2.08083,
        2.06188,
        2.09829,
        2.10853,
        2.13364,
        2.03723,
        2.06117,
        2.11542,
        2.07459,
        2.10269,
        2.1105,
        2.1293,
        2.0804,
        2.11736,
        2.08091,
        2.10691,
        2.15012,
        2.116,
        2.14021,
        2.11877,
        2.13988,
        2.08694,
        2.10557,
        2.15454,
        2.10026,
        2.1096,
        2.04316,
        2.06132,
        2.07679,
        2.07595,
        2.0264,
        2.00054,
        2.02141,
        2.10882,
        2.05671,
        1.90289,
        2.00422,
        1.85312,
        1.94552,
        1.9484,
        1.95162,
        2.03942,
        1.99105,
        1.9845,
        1.97519,
        2.09325,
        2.01846,
        2.08204,
        2.06782,
        2.16506,
        2.10731,
        2.03693,
        1.99199,
        2.04853,
        2.0935,
        2.12774,
        2.07769,
        2.09827,
        2.07024,
        2.05079,
        2.11061,
        2.10913,
        2.1236,
        2.12042,
        2.10242,
        2.13108,
        2.09638,
        2.07909,
        2.11788,
        2.12026,
        2.09769,
        2.04294,
        2.1464,
        2.06239,
        2.04145,
        2.01008,
        2.18111,
        2.0534,
        2.07062,
        2.07845,
        2.04567,
        2.18399,
        2.16356,
        2.24175,
        2.09469,
        2.0776,
        2.08753,
        2.11668,
        2.10524,
        2.12738,
        2.14908,
        2.15265,
        2.08908,
        2.0395,
        2.09522,
        2.04422,
        2.09806,
        2.14336,
        2.07202,
        2.13085,
        2.12794,
        2.14602,
        2.11051,
        2.12292,
        2.18122,
        2.08612,
        2.09457,
        2.04018,
        2.0917,
        2.01779,
        1.99953,
        2.05017,
        2.04441,
        1.93736,
        1.97506,
        1.96896,
        1.78832,
        2.45208,
        2.21982,
        2.2406,
        2.19598,
        2.2412,
        2.16133,
        2.21293,
        2.25341,
        2.01872,
        2.12705,
        2.1115,
        2.09206,
        2.13192,
        2.04828,
        2.08779,
        2.09886,
        2.02527,
        2.06822,
        2.15429,
        2.11837,
        2.10322,
        2.10485,
        2.14379,
        2.05749,
        2.08649,
        2.1187,
        2.12464,
        2.08671,
        2.12323,
        2.12755,
        2.13351,
        2.0924,
        2.08334,
        2.14324,
        2.05345,
        2.1065,
        2.06498,
        2.09381,
        2.11362,
        2.13722,
        2.11298,
        2.15144,
        2.12428,
        2.05915,
        2.06767,
        2.12164,
        2.11601,
        2.05502,
        2.08688,
        2.0841,
        2.09482,
        2.08424,
        1.99632,
        2.05423,
        2.05168,
        1.9845,
        2.03951,
        2.05565,
        2.09569,
        2.12095,
        2.11148,
        2.0934,
        2.09831,
        2.04286,
        2.06075,
        1.92621,
        2.12858,
        2.13419,
        1.86424,
        2.41316,
        1.72672,
        1.80636,
        1.97498,
        1.99203,
        1.93029,
        2.05011,
        2.03364,
        1.96154,
        2.05912,
        2.09363,
        1.98186,
        2.12983,
        2.01796,
        1.92277,
        2.02606,
        2.12189,
        2.00952,
        1.93604,
        2.2408,
        2.04544,
        1.95002,
        1.94342,
        1.99787,
        2.08363,
        2.08232,
        2.10126,
        2.08019,
        2.10749,
        2.09785,
        2.18847,
        2.13585,
        2.07654,
        2.06543,
        2.06965,
        2.09005,
        2.02758,
        2.0932,
        2.07766,
        2.17462,
        2.14,
        2.06532,
        2.11745,
        2.11126,
        2.08331,
        2.10334,
        2.06273,
        2.06426,
        2.13358,
        2.10121,
        2.10966,
        2.14756,
        2.06822,
        2.07871,
        2.16848,
        2.12378,
        2.12977,
        2.11819,
        2.05584,
        2.0768,
        2.0347,
        2.09115,
        2.06554,
        2.11427,
        2.07957,
        2.04534,
        2.083,
        2.04085,
        2.0789,
        2.02869,
        1.90777,
        2.03996,
        2.12711,
        2.60178,
        2.2686,
        2.04535,
        2.08114,
        2.03814,
        1.77009,
        1.9146,
        2.04767,
        2.11254,
        2.09293,
        2.06812,
        2.11498,
        2.11856,
        2.07356,
        1.9752,
        2.07756,
        2.02829,
        2.17995,
        2.03594,
        2.04389,
        2.00356,
        2.10445,
        1.98449,
        2.04812,
        2.10053,
        1.83882,
        2.01787,
        1.99199,
        1.88185,
        1.85303,
        2.25449,
        2.06553,
        2.19073,
        2.04134,
        2.08659,
        1.9861,
        2.03153,
        2.12077,
        2.06634,
        2.10335,
        2.0474,
        1.97641,
        2.11141,
        2.06807,
        2.01487,
        2.03369,
        2.08477,
        2.09365,
        2.0628,
        2.10121,
        2.2146,
        2.11201,
        2.08354,
        2.13197,
        2.07705,
        2.07176,
        2.11518,
        2.05901,
        2.10684,
        2.08767,
        2.10265,
        2.15316,
        2.1343,
        2.1085,
        2.14106,
        2.08989,
        2.04381,
        2.10607,
        2.03481,
        2.13263,
        2.07309,
        2.1324,
        1.94004,
        1.93132,
        2.00865,
        2.07193,
        1.96505,
        1.8675,
        1.87464,
        2.03234,
        2.08134,
        2.0479,
        2.11045,
        2.17137,
        2.03685,
        2.11184,
        2.05468,
        2.01287,
        2.0554,
        2.19892,
        2.18711,
        2.07718,
        2.03249,
        1.95902,
        2.00238,
        2.02373,
        2.00673,
        2.05298,
        2.05158,
        2.10611,
        2.11096,
        2.10514,
        2.09463,
        2.10804,
        2.05587,
        2.06457,
        2.1127,
        2.0623,
        2.03295,
        2.13128,
        1.97694,
        2.14054,
        2.23947,
        2.09719,
        2.13442,
        1.97871,
        1.95537,
        2.12854,
        1.80041,
        2.18552,
        2.41498,
        2.3236,
        2.09852,
        2.17718,
        2.42478,
        2.57342,
        2.50354,
        2.5037,
        2.3945,
        2.36457,
        2.4357,
        2.70066,
        2.5803,
        2.6161,
        2.8498,
        2.83458,
        2.92283,
        2.96106,
        2.98429,
        2.97344,
        2.87833,
        2.74897,
        2.73832,
        2.62756,
        2.58562,
        2.43845,
        2.48664,
        2.36427,
        2.38988,
        2.27363,
        2.2816,
        2.11818,
        2.23448,
        2.14256,
        2.12931,
        1.9671,
        2.00439,
        2.03663,
        2.16708,
        2.23931,
        2.16112,
        2.12326,
        2.11425,
        2.02841,
        2.12356,
        2.10964,
        2.10323,
        2.07632,
        2.05564,
        2.06421,
        2.10511,
        2.07864,
        2.03623,
        2.10357,
        2.11984,
        2.04007,
        2.10212,
        2.12177,
        2.08732,
        2.06919,
        2.13288,
        2.20039,
        2.07807,
        2.08294,
        2.07045,
        2.17613,
        2.09341,
        2.05259,
        2.05134,
        2.05243,
        2.14325,
        2.15951,
        2.0766,
        2.11879,
        2.09098,
        2.10712,
        2.15216,
        2.0716,
        2.09281,
        1.99314,
        2.06681,
        1.98864,
        2.00235,
        1.96755,
        2.06183,
        1.89464,
        1.92649,
        1.9637,
        1.93673,
        1.80952,
        null,
        1.97254,
        1.94214,
        1.93092,
        2.01503,
        2.00622,
        1.98897,
        1.99773,
        2.01028,
        1.89785,
        2.05832,
        2.09949,
        2.02749,
        2.00622,
        2.06308,
        2.05506,
        2.03337,
        2.10285,
        2.06766,
        2.06934,
        2.10862,
        2.09532,
        2.05972,
        2.09454,
        2.10456,
        2.07317,
        2.06587,
        2.05043,
        2.03611,
        2.04397,
        2.07163,
        2.08278,
        2.0231,
        2.03114,
        2.09684,
        2.14882,
        2.14446,
        2.07862,
        2.06258,
        2.08198,
        2.11458,
        2.07188,
        2.05115,
        2.09547,
        2.10109,
        2.0806,
        2.04555,
        2.05644,
        2.03709,
        2.02816,
        2.04477,
        2.04342,
        2.0725,
        2.05509,
        2.07665,
        2.0933,
        2.05852,
        2.08219,
        2.09812,
        2.07295,
        2.04578,
        2.03107,
        2.04479,
        2.08851,
        2.06913,
        2.04293,
        2.06346,
        2.03375,
        2.04297,
        2.06926,
        2.04752,
        2.05095,
        2.03785,
        2.05063,
        1.96744,
        1.96244,
        1.98786,
        2.04422,
        1.95072,
        2.02548,
        1.91611,
        1.87334,
        2.0821,
        2.1562,
        2.16468,
        2.22519,
        2.1777,
        2.16217,
        2.27233,
        2.29471,
        2.18539,
        2.1959,
        2.34085,
        2.43118,
        2.46527,
        2.47857,
        2.52075,
        2.54654,
        2.64373,
        2.7376,
        2.80362,
        2.89288,
        2.9473,
        2.89911,
        2.8234,
        2.77864,
        2.72528,
        2.66406,
        2.57932,
        2.49197,
        2.38951,
        2.28562,
        2.23397,
        2.20951,
        2.17231,
        2.16474,
        2.13672,
        2.12988,
        2.10636,
        2.11663,
        2.08153,
        2.0703,
        2.10612,
        2.08675,
        2.09682,
        2.07798,
        2.07165,
        2.11922,
        2.11776,
        2.12082,
        2.08631,
        2.09842,
        2.11736,
        2.0933,
        2.08187,
        2.06783,
        2.08566,
        2.06218,
        2.09469,
        2.07525,
        2.04932,
        2.04171,
        2.07153,
        2.10461,
        2.06588,
        2.06153,
        2.07361,
        2.05111,
        2.0535,
        2.04818,
        2.05768,
        2.09938,
        2.04768,
        1.9656,
        2.03136,
        2.04451,
        2.03327,
        2.03469,
        1.94315,
        1.74073,
        2.01755,
        1.81524,
        1.89785,
        2.11445,
        2.10788,
        2.13658,
        2.07354,
        2.07687,
        2.04875,
        1.98766,
        1.9971,
        2.03735,
        2.08329,
        2.0934,
        2.06267,
        2.10024,
        2.09567,
        2.11711,
        2.13765,
        2.08784,
        2.06743,
        2.06647,
        2.07839,
        2.10464,
        2.04442,
        2.03639,
        2.09083,
        2.09912,
        2.05307,
        2.05514,
        2.09748,
        2.0778,
        2.06448,
        2.0701,
        2.07722,
        2.09605,
        2.0786,
        2.10226,
        2.08957,
        2.08438,
        2.07829,
        2.05859,
        2.07919,
        2.09313,
        2.0861,
        2.06558,
        2.05715,
        2.06667,
        2.07813,
        2.06163,
        2.07562,
        2.05035,
        2.06288,
        2.05843,
        2.08042,
        2.06678,
        2.05055,
        2.07687,
        2.06614,
        2.06659,
        2.08557,
        2.10877,
        2.096,
        2.07944,
        2.07318,
        2.05072,
        2.06285,
        2.09896,
        2.09325,
        2.09672,
        2.08419,
        2.07221,
        2.11201,
        2.09092,
        2.06386,
        2.04929,
        2.09406,
        2.06535,
        2.00963,
        2.03311,
        2.10931,
        2.05836,
        2.06499,
        2.05392,
        2.06148,
        2.1021,
        2.12533,
        1.94484,
        2.02256,
        2.08544,
        1.86932,
        2.18556,
        2.17914,
        2.09387,
        2.10503,
        2.11639,
        2.0488,
        1.94957,
        2.04876,
        2.05851,
        2.018,
        2.048,
        2.07977,
        2.0751,
        2.06938,
        2.07306,
        2.13159,
        2.12601,
        2.05599,
        2.06269,
        2.06718,
        2.06506,
        2.04896,
        2.0409,
        2.06643,
        2.09938,
        2.10468,
        2.06965,
        2.08281,
        2.09937,
        2.06421,
        2.04674,
        2.0653,
        2.08114,
        2.06394,
        2.06349,
        2.08634,
        2.10658,
        2.06241,
        2.04448,
        2.05559,
        2.04916,
        2.04222,
        2.05479,
        2.06392,
        2.06522,
        2.06732,
        2.05068,
        2.03819,
        2.05089,
        2.08382,
        2.07725,
        2.07889,
        2.06632,
        2.07686,
        2.08154,
        2.09618,
        2.07783,
        2.07507,
        2.0681,
        2.07006,
        2.07351,
        2.04939,
        2.09318,
        2.09919,
        2.07352,
        2.04964,
        2.07279,
        2.06895,
        2.03816,
        2.05146,
        2.07528,
        2.07711,
        2.04992,
        2.0542,
        2.01801,
        2.05525,
        2.05984,
        2.08526,
        2.0665,
        2.04941,
        1.99894,
        1.96816,
        1.952,
        1.94598,
        1.94935,
        1.85252,
        2.00678,
        2.09062,
        1.95588,
        1.94015,
        2.21186,
        2.10815,
        1.91804,
        1.96359,
        2.09498,
        2.12314,
        2.05244,
        2.02668,
        1.98618,
        2.03084,
        2.02961,
        2.03784,
        2.00373,
        2.01789,
        2.0132,
        2.03615,
        2.05703,
        1.98623,
        2.01826,
        2.00879,
        1.99918,
        1.99848,
        1.97794,
        1.8776,
        1.85875,
        2.05117,
        1.948,
        2.04097,
        2.24843,
        2.18831,
        2.21253,
        2.19807,
        2.18334,
        2.21118,
        2.23287,
        2.21157,
        2.25129,
        2.28383,
        2.28709,
        2.26785,
        2.33224,
        2.36179,
        2.35488,
        2.41139,
        2.44408,
        2.48874,
        2.58081,
        2.67259,
        2.71496,
        2.79228,
        2.88971,
        2.93875,
        2.92909,
        2.90573,
        2.80856,
        2.69082,
        2.66096,
        2.59561,
        2.50255,
        2.43776,
        2.36585,
        2.28581,
        2.24817,
        2.1764,
        2.13258,
        2.09912,
        2.0884,
        2.09105,
        2.09242,
        2.14128,
        2.11748,
        2.07025,
        2.04843,
        2.03469,
        2.06933,
        1.90445,
        1.89571,
        1.99281,
        2.03284,
        1.93265,
        1.97023,
        2.05336,
        2.06078,
        2.15994,
        2.16804,
        2.02204,
        2.06515,
        2.02365,
        1.92232,
        1.98147,
        2.04219,
        2.1218,
        2.07834,
        2.02087,
        1.98596,
        1.94273,
        1.92005,
        1.83787,
        1.95851,
        2.24672,
        2.1202,
        2.04729,
        2.03599,
        2.08288,
        2.08125,
        2.07399,
        2.03978,
        2.05859,
        2.05364,
        2.01438,
        2.05637,
        2.12065,
        2.06594,
        2.03825,
        2.07221,
        2.06044,
        2.06981,
        2.04415,
        2.04603,
        2.03553,
        2.04535,
        2.07939,
        2.07983,
        2.06324,
        2.0355,
        2.07007,
        2.08924,
        2.06349,
        2.10903,
        2.07781,
        2.10136,
        2.09268,
        2.0792,
        2.08037,
        2.08022,
        2.09814,
        2.07498,
        2.05301,
        2.06657,
        2.07989,
        2.06555,
        2.06927,
        2.06793,
        2.07621,
        2.05914,
        2.068,
        2.08045,
        2.07264,
        2.0501,
        2.05738,
        2.07038,
        2.05458,
        2.04754,
        2.05092,
        2.07991,
        2.07017,
        2.061,
        2.04139,
        2.05698,
        2.06089,
        2.10418,
        2.09208,
        2.0852,
        2.03051,
        2.02688,
        2.05392,
        2.0836,
        2.07541,
        2.03893,
        2.03121,
        2.00653,
        1.9447,
        1.87497,
        1.91611,
        1.93157,
        1.93135,
        2.02276,
        1.99064,
        2.10242,
        2.24537,
        2.04096,
        1.98538,
        2.16782,
        2.0737,
        2.04817,
        2.11995,
        2.07209,
        2.05059,
        2.081,
        2.06409,
        2.08968,
        2.05732,
        2.0595,
        2.05793,
        2.07644,
        2.03186,
        2.09329,
        2.06926,
        1.96239,
        1.99158,
        1.98745,
        2.05189,
        2.03541,
        1.99536,
        1.85431,
        1.71177,
        1.8547,
        2.04463,
        2.11328,
        2.01959,
        2.00151,
        2.04042,
        2.07431,
        2.06544,
        2.06938,
        2.0407,
        2.0911,
        2.05403,
        2.01251,
        2.03354,
        2.0702,
        2.08045,
        2.06327,
        2.03177,
        2.03872,
        2.03601,
        2.02878,
        2.03951,
        2.0228,
        2.07636,
        2.06401,
        2.06256,
        2.07248,
        2.08812,
        2.10093,
        2.06637,
        2.07682,
        2.09546,
        2.09431,
        2.09007,
        2.06856,
        2.09426,
        2.1018,
        2.08942,
        2.077,
        2.07448,
        2.09615,
        2.11187,
        2.096,
        2.10714,
        2.09229,
        2.08316,
        2.0872,
        2.07478,
        2.05765,
        2.05677,
        2.07506,
        2.05807,
        2.08797,
        2.06589,
        2.04315,
        2.04284,
        2.05013,
        2.03276,
        2.06242,
        2.04888,
        2.02905,
        2.02043,
        2.04769,
        1.98235,
        2.02856,
        2.05308,
        1.87433,
        1.94291,
        2.07912,
        1.90976,
        1.89006,
        2.04957,
        2.15472,
        2.083,
        2.04627,
        2.07523,
        2.05682,
        2.04187,
        1.9532,
        2.10329,
        2.08327,
        2.06023,
        2.05472,
        2.0849,
        2.06361,
        2.08551,
        2.08671,
        2.07122,
        2.06791,
        2.05814,
        2.07494,
        2.07517,
        2.05453,
        2.02213,
        2.03912,
        2.06413,
        2.01253,
        2.06851,
        2.04929,
        2.01187,
        2.01281,
        2.02103,
        1.95788,
        2.05083,
        2.07281,
        1.94749,
        1.96965,
        1.81577,
        1.69639,
        1.90191,
        2.11016,
        1.99761,
        1.99951,
        2.03515,
        2.07113,
        2.09718,
        2.13154,
        2.09636,
        2.12066,
        2.08536,
        2.04827,
        2.02937,
        2.13679,
        2.01023,
        1.89013,
        2.06522,
        2.09621,
        2.17862,
        2.07119,
        2.20177,
        2.17579,
        2.08658,
        2.07637,
        2.10134,
        2.06764,
        2.06375,
        2.10187,
        2.08422,
        2.07173,
        2.05027,
        2.06023,
        2.08663,
        2.05689,
        2.05502,
        2.02397,
        2.04116,
        2.00093,
        1.98794,
        1.97695,
        2.0161,
        1.98124,
        1.96449,
        1.98988,
        1.98433,
        1.96225,
        2.03878,
        2.06369,
        2.11093,
        2.11315,
        2.14457,
        2.141,
        2.11371,
        2.27544,
        2.20833,
        2.14629,
        2.23749,
        2.33318,
        2.32263,
        2.39594,
        2.36955,
        2.44605,
        2.35467,
        2.44206,
        2.57953,
        2.6869,
        2.7721,
        2.85534,
        2.90996,
        3.00283,
        2.92586,
        2.87471,
        2.78237,
        2.6849,
        2.61608,
        2.57324,
        2.44994,
        2.4269,
        2.32947,
        2.29266,
        2.26002,
        2.22785,
        2.1743,
        2.15222,
        2.12003,
        2.11376,
        2.08171,
        2.07828,
        2.07367,
        2.0696,
        2.11307,
        2.11443,
        2.08313,
        2.07442,
        2.06104,
        2.09154,
        2.06393,
        1.97731,
        2.03591,
        2.01697,
        1.98417,
        2.00881,
        1.98492,
        1.98155,
        1.92753,
        2.00838,
        1.96247,
        1.8907,
        1.92888,
        1.8524,
        2.05185,
        1.97666,
        2.08081,
        2.06658,
        2.08604,
        2.12487,
        2.10599,
        2.07252,
        2.07752,
        2.06004,
        2.10332,
        2.04464,
        2.0796,
        2.05094,
        2.02944,
        2.03745,
        2.06614,
        2.06323,
        2.08368,
        2.06945,
        2.04265,
        2.06308,
        2.06625,
        2.05523,
        2.05814,
        2.06796,
        2.05452,
        2.04729,
        2.02225,
        2.02678,
        2.03115,
        2.01982,
        2.06109,
        2.08473,
        2.05274,
        2.06446,
        2.04863,
        2.03683,
        2.02326,
        2.04617,
        2.02854,
        2.02275,
        2.01709,
        2.06229,
        2.05749,
        1.96278,
        1.98435,
        2.02092,
        1.92138,
        1.95178,
        1.99684,
        2.03066,
        1.97287,
        1.85744,
        1.94085,
        2.03186,
        2.0558,
        2.0802,
        2.10628,
        2.08931,
        2.0361,
        2.01931,
        2.08729,
        2.05584,
        2.02306,
        2.04079,
        2.05795,
        2.10013,
        2.08864,
        2.06767,
        2.09402,
        2.07534,
        2.10046,
        2.08952,
        2.02819,
        2.06574,
        2.04497,
        2.05486,
        2.05337,
        2.09433,
        2.07374,
        2.04367,
        2.11576,
        2.11406,
        2.08381,
        2.07001,
        2.04128,
        2.05847,
        2.06425,
        2.087,
        2.05028,
        2.10832,
        2.07447,
        2.05932,
        2.08116,
        2.03974,
        2.04261,
        2.04055,
        2.01767,
        2.0262,
        2.06674,
        2.08289,
        2.01497,
        2.01969,
        2.02868,
        2.03541,
        2.02312,
        2.01112,
        1.99912,
        2.04892,
        2.02608,
        1.86845,
        1.83395,
        1.96257,
        2.01148,
        2.12466,
        1.97776,
        1.92729,
        1.9783,
        2.04855,
        2.0793,
        2.07247,
        2.07681,
        2.06132,
        2.05318,
        2.02012,
        2.04329,
        2.04867,
        2.04599,
        2.02963,
        2.05699,
        2.06528,
        2.05733,
        2.08441,
        2.08045,
        2.06713,
        2.08204,
        2.06872,
        2.05737,
        2.04501,
        2.01633,
        2.06421,
        2.08684,
        2.09001,
        2.0364,
        2.0325,
        2.03155,
        2.05991,
        2.08231,
        2.06054,
        1.99349,
        2.01044,
        1.98798,
        1.9367,
        1.93677,
        1.98118,
        1.94975,
        1.89527,
        1.96835,
        1.96539,
        2.06921,
        1.97535,
        1.96079,
        2.02716,
        2.07727,
        2.07181,
        2.1063,
        2.01167,
        2.04631,
        2.07371,
        2.07785,
        2.0693,
        2.05891,
        2.05437,
        2.06174,
        2.08025,
        2.07342,
        2.06106,
        2.04816,
        2.05054,
        2.04781,
        2.06242,
        2.06998,
        2.07378,
        2.0679,
        2.04965,
        2.06021,
        2.02121,
        2.03618,
        2.07808,
        2.08388,
        2.05682,
        2.03478,
        2.01453,
        2.01954,
        2.03355,
        2.02575,
        2.02626,
        2.03293,
        2.03923,
        2.06094,
        2.06235,
        2.05117,
        2.08455,
        2.11156,
        2.09719,
        2.08369,
        2.08918,
        2.08646,
        2.07572,
        2.08689,
        2.05951,
        2.05548,
        2.04009,
        2.06583,
        2.04539,
        2.06161,
        2.05019,
        2.07509,
        2.08202,
        2.05562,
        2.02314,
        2.00671,
        2.06464,
        2.03735,
        2.07754,
        2.09921,
        2.0417,
        2.01274,
        1.99763,
        2.03365,
        1.96794,
        1.86396,
        1.84119,
        1.79245,
        2.19877,
        2.24061,
        2.07747,
        2.17109,
        2.12846,
        2.14449,
        2.11202,
        2.05605,
        2.07505,
        2.09794,
        2.06165,
        2.08112,
        2.0635,
        2.07973,
        2.05933,
        2.04863,
        2.05752,
        2.0498,
        2.09122,
        2.08484,
        2.0869,
        2.08547,
        2.036,
        2.06313,
        2.01766,
        1.97697,
        1.98783,
        1.9639,
        2.03038,
        1.94358,
        1.90286,
        1.91151,
        2.055,
        1.99146,
        1.95664,
        2.00111,
        1.97016,
        1.96527,
        1.98427,
        2.07898,
        2.11231,
        2.1054,
        2.03023,
        1.97825,
        2.0444,
        2.06114,
        2.02161,
        2.09229,
        2.08785,
        2.07332,
        2.01362,
        2.0775,
        2.07094,
        1.9934,
        1.96288,
        1.95967,
        1.85322,
        2.02131,
        2.20343,
        2.27413,
        2.24455,
        2.19941,
        2.17617,
        2.30042,
        2.28344,
        2.28203,
        2.24731,
        2.28673,
        2.31156,
        2.32981,
        2.29426,
        2.33449,
        2.33528,
        2.37568,
        2.38614,
        2.48323,
        2.51814,
        2.62212,
        2.68538,
        2.78366,
        2.88192,
        2.93505,
        2.97542,
        2.98263,
        2.95377,
        2.86058,
        2.80043,
        2.69674,
        2.62296,
        2.55059,
        2.48131,
        2.39638,
        2.3378,
        2.28445,
        2.24516,
        2.23134,
        2.18534,
        2.15343,
        2.12987,
        2.14592,
        2.11597,
        2.09455,
        2.10991,
        2.10069,
        2.11849,
        2.08704,
        2.07681,
        2.03713,
        2.02398,
        2.04142,
        2.03908,
        1.95816,
        1.94716,
        2.07897,
        2.04687,
        1.91399,
        1.75717,
        1.86088,
        1.98665,
        2.04671,
        1.97394,
        1.98905,
        2.08782,
        2.05402,
        1.99985,
        2.11579,
        2.04159,
        2.06805,
        2.02883,
        2.03945,
        1.99309,
        2.02189,
        2.08763,
        2.0755,
        2.02059,
        2.03159,
        1.98962,
        2.04191,
        2.06069,
        2.02253,
        1.97864,
        2.0099,
        2.01813,
        2.00436,
        2.02448,
        2.03222,
        2.13142,
        2.09314,
        2.14701,
        2.10397,
        2.08183,
        2.07052,
        2.07443,
        2.08465,
        2.10226,
        2.10528,
        2.08947,
        2.08823,
        2.09482,
        2.08841,
        2.07043,
        2.09084,
        2.09491,
        2.06438,
        2.10865,
        2.12946,
        2.09985,
        2.09544,
        2.07832,
        2.09935,
        2.11145,
        2.09443,
        2.1056,
        2.1181,
        2.09468,
        2.11584,
        2.11831,
        2.09156,
        2.05408,
        2.08299,
        2.05709,
        2.06224,
        2.05694,
        2.0783,
        2.12095,
        2.11269,
        2.12253,
        2.07635,
        2.09728,
        2.10281,
        2.1032,
        2.09365,
        2.10085,
        2.09874,
        2.10531,
        2.10638,
        2.09104,
        2.08143,
        2.1011,
        2.08211,
        2.09161,
        2.06334,
        2.07693,
        2.1175,
        2.09658,
        2.08636,
        2.10478,
        2.08569,
        2.08138,
        2.09565,
        2.11057,
        2.07931,
        2.07821,
        2.07955,
        2.0777,
        2.0859,
        2.08393,
        2.11029,
        2.09524,
        2.08231,
        2.05948,
        2.08165,
        2.08033,
        2.06863,
        2.03798,
        2.04938,
        2.03232,
        2.05909,
        2.06766,
        2.06274,
        2.0547,
        2.06102,
        2.03178,
        2.05071,
        2.04404,
        1.98414,
        2.02809,
        2.02357,
        1.91551,
        2.04935,
        1.94564,
        1.55138,
        2.2309,
        2.13401,
        1.9309,
        2.04611,
        2.07707,
        2.15988,
        2.16087,
        2.03221,
        1.96685,
        2.00599,
        2.02507,
        1.95901,
        2.01343,
        1.96783,
        2.08578,
        1.99674,
        1.94691,
        1.97179,
        1.83811,
        1.81797,
        2.04734,
        2.09154,
        2.21516,
        2.29006,
        2.27683,
        2.09177,
        2.05983,
        2.11348,
        2.09594,
        2.06802,
        2.06297,
        2.10171,
        2.07485,
        2.07575,
        2.10496,
        2.08532,
        2.05885,
        2.04487,
        2.01669,
        2.06349,
        2.07495,
        2.07755,
        2.05737,
        2.05472,
        2.06668,
        2.05233,
        2.06979,
        2.04532,
        2.05689,
        2.01562,
        2.05036,
        2.09158,
        2.10771,
        2.08583,
        2.07896,
        2.09772,
        2.04054,
        2.11039,
        2.09121,
        2.06868,
        2.03278,
        2.0924,
        2.12618,
        2.06615,
        2.07541,
        2.03286,
        2.03715,
        2.01093,
        2.02144,
        2.05963,
        2.06157,
        2.06087,
        2.08857,
        2.04824,
        2.06601,
        2.06252,
        2.07483,
        2.04833,
        2.08116,
        2.10098,
        2.07217,
        2.0792,
        2.07998,
        2.08218,
        2.06945,
        2.06105,
        2.02589,
        2.06247,
        2.07896,
        2.08381,
        2.04977,
        2.06784,
        2.09529,
        2.09028,
        2.07013,
        2.06013,
        2.07141,
        2.06844,
        2.0523,
        2.1015,
        2.1231,
        2.0861,
        2.10733,
        2.08895,
        2.11654,
        2.08166,
        2.07576,
        2.09901,
        2.08236,
        2.06229,
        2.0358,
        2.0765,
        2.08472,
        2.07142,
        2.06871,
        2.07856,
        2.03005,
        2.04209,
        2.06087,
        2.04456,
        2.04826,
        2.06979,
        2.08432,
        2.01701,
        1.94106,
        2.0501,
        2.02362,
        1.82701,
        1.94409,
        1.9209,
        1.88674,
        2.06643,
        1.86174,
        1.99403,
        1.96726,
        1.86186,
        2.02123,
        2.06023,
        2.07838,
        2.09117,
        2.04039,
        2.0352,
        2.09164,
        2.03985,
        2.06989,
        2.04071,
        2.05439,
        2.06487,
        2.05429,
        2.04708,
        2.06355,
        2.06395,
        2.05404,
        2.09171,
        2.02918,
        1.9978,
        2.07077,
        2.08506,
        2.04817,
        2.03444,
        2.04229,
        2.04635,
        2.01869,
        2.06312,
        2.05942,
        2.05988,
        2.05674,
        2.05229,
        2.0557,
        2.05884,
        2.04913,
        2.04978,
        2.06724,
        2.0378,
        2.07323,
        2.04689,
        2.05079,
        2.08604,
        2.06948,
        2.06433,
        2.07958,
        2.05735,
        2.09279,
        2.03227,
        2.04469,
        2.03117,
        2.06227,
        2.0884,
        2.04077,
        2.06104,
        2.0795,
        2.06921,
        2.0743,
        2.03153,
        2.03337,
        1.98224,
        1.99722,
        1.74754,
        1.94435,
        2.19541,
        1.81472,
        2.16013,
        2.21187,
        2.30264,
        2.17685,
        2.24886,
        2.20495,
        2.21745,
        2.30701,
        2.28781,
        2.27367,
        2.33191,
        2.35447,
        2.3503,
        2.3472,
        2.39206,
        2.45766,
        2.50706,
        2.57753,
        2.66064,
        2.7483,
        2.78733,
        2.89181,
        2.93532,
        2.94743,
        2.97059,
        2.86936,
        2.83905,
        2.72656,
        2.61746,
        2.53999,
        2.51038,
        2.45395,
        2.35901,
        2.28596,
        2.24093,
        2.18836,
        2.13481,
        2.15164,
        2.12457,
        2.07637,
        2.0507,
        2.01055,
        2.05998,
        1.98558,
        1.96132,
        2.05534,
        1.85455,
        1.79781,
        1.89613,
        2.01036,
        1.90607,
        1.89123,
        1.97253,
        2.01258,
        2.11207,
        2.00175,
        1.97689,
        2.06212,
        2.07528,
        2.08723,
        2.08262,
        2.0531,
        2.06201,
        2.01792,
        2.05494,
        2.08627,
        2.06235,
        2.06882,
        2.09154,
        2.07071,
        2.08802,
        2.06487,
        2.06575,
        2.06035,
        2.0926,
        2.11267,
        2.09877,
        2.08252,
        2.07008,
        2.07176,
        2.09346,
        2.08538,
        2.06998,
        2.0607,
        2.09041,
        2.0826,
        2.06725,
        2.08201,
        2.0736,
        2.09783,
        2.10697,
        2.08336,
        2.08153,
        2.07556,
        2.07272,
        2.03428,
        2.06267,
        2.0783,
        2.09183,
        2.05646,
        2.0517,
        2.04409,
        2.06956,
        2.10516,
        2.08158,
        2.08197,
        2.07487,
        2.06273,
        2.09001,
        2.07187,
        2.02156,
        2.03862,
        2.04783,
        2.06753,
        2.07645,
        2.05247,
        2.04039,
        2.09352,
        2.09397,
        2.04872,
        2.05459,
        2.03697,
        2.07344,
        2.07101,
        2.08163,
        2.06308,
        2.09995,
        2.07836,
        2.09315,
        2.08506,
        2.07928,
        2.05853,
        2.04563,
        2.04279,
        2.07577,
        2.07555,
        2.06269,
        2.08372,
        2.04985,
        2.06501,
        2.09606,
        2.04359,
        2.07015,
        2.07888,
        2.06265,
        2.07059,
        2.09157,
        2.06633,
        2.03429,
        2.08172,
        2.05049,
        2.09541,
        2.11235,
        2.04936,
        2.05418,
        2.05832,
        2.03459,
        2.03183,
        2.08936,
        2.03677,
        2.03491,
        2.06012,
        2.09813,
        2.04533,
        1.9958,
        2.07572,
        2.02108,
        2.01963,
        1.99517,
        1.983,
        2.01218,
        2.09774,
        2.09992,
        2.03117,
        1.98303,
        1.95246,
        1.95786,
        2.08122,
        2.00603,
        1.89469,
        2.01475,
        2.0035,
        1.92136,
        1.95483,
        2.11483,
        1.94846,
        1.94636,
        2.03459,
        2.05302,
        2.06348,
        1.95897,
        2.02126,
        2.03619,
        2.05689,
        2.0496,
        2.14369,
        2.09893,
        2.09202,
        2.06877,
        2.06995,
        2.08173,
        2.04762,
        2.03533,
        2.08307,
        2.0862,
        2.08855,
        2.07239,
        2.07549,
        1.98399,
        2.07506,
        2.058,
        2.06116,
        2.09856,
        2.04905,
        2.05927,
        2.05817,
        2.05063,
        2.05337,
        2.09984,
        2.07048,
        2.10463,
        2.07198,
        2.09092,
        2.06588,
        2.07124,
        2.0461,
        2.05966,
        2.02645,
        2.05851,
        2.07603,
        2.06405,
        2.05538,
        2.04355,
        2.06428,
        2.0263,
        2.08138,
        2.07663,
        2.04282,
        2.07848,
        2.07374,
        2.07822,
        2.08333,
        2.04059,
        2.05121,
        2.05647,
        2.04377,
        2.08357,
        2.06659,
        2.08328,
        2.04241,
        2.07524,
        2.07379,
        2.08888,
        2.07521,
        2.06338,
        2.081,
        2.06757,
        2.05655,
        2.09815,
        2.11816,
        2.08422,
        2.09914,
        2.06078,
        2.10823,
        2.10447,
        2.07603,
        2.05273,
        2.08094,
        2.09803,
        2.11637,
        2.1275,
        2.07401,
        2.01624,
        2.05329,
        2.1074,
        2.10221,
        2.03792,
        2.10585,
        2.07234,
        2.02907,
        2.0871,
        1.99129,
        2.0707,
        2.08435,
        2.04735,
        2.05598,
        1.99451,
        2.04514,
        2.02882,
        2.03334,
        2.03502,
        2.08778,
        2.08365,
        2.04731,
        1.96966,
        1.97848,
        2.01763,
        2.02362,
        2.06687,
        2.05621,
        2.0449,
        2.14097,
        2.01673,
        1.98684,
        2.09015,
        2.04235,
        2.06929,
        2.04873,
        2.08137,
        2.06459,
        2.0828,
        2.05781,
        2.06965,
        2.05265,
        2.03628,
        2.03219,
        2.06369,
        2.01576,
        2.02107,
        1.99676,
        1.95785,
        1.9229,
        1.85328,
        1.92235,
        2.09908,
        2.22226,
        2.02455,
        2.24984,
        2.14476,
        2.0032,
        2.02656,
        2.02722,
        2.0414,
        2.04062,
        1.99704,
        2.07328,
        2.08664,
        2.08549,
        2.06087,
        2.08624,
        2.06877,
        2.06828,
        2.10169,
        2.07541,
        2.08468,
        2.07267,
        2.14044,
        2.05778,
        2.05145,
        2.03436,
        2.05043,
        2.07372,
        2.07913,
        2.08228,
        2.09422,
        2.05128,
        2.0865,
        2.07264,
        2.06971,
        2.10695,
        2.11959,
        2.13754,
        2.08996,
        2.06525,
        2.0475,
        2.09109,
        2.10497,
        2.04806,
        2.10239,
        2.05447,
        2.01073,
        2.12976,
        2.12257,
        2.09195,
        2.08699,
        2.08179,
        2.08623,
        2.06914,
        2.07886,
        2.13467,
        2.0922,
        2.0838,
        2.03127,
        2.03839,
        2.08754,
        2.07966,
        2.02855,
        2.10404,
        2.06624,
        2.05515,
        1.96739,
        2.03172,
        null,
        2.07968,
        2.03502,
        2.02347,
        2.06018,
        2.04803,
        2.00164,
        2.01334,
        2.00139,
        2.01282,
        2.03083,
        2.06349,
        2.07553,
        2.08295,
        2.06721,
        2.03478,
        2.03764,
        2.07271,
        2.07197,
        2.02667,
        2.04428,
        2.05673,
        2.05442,
        2.04393,
        2.04045,
        2.0676,
        2.05876,
        2.05792,
        2.06948,
        2.0871,
        2.07767,
        2.07832,
        2.08066,
        2.06683,
        2.05229,
        2.05646,
        2.06206,
        2.0924,
        2.07999,
        2.04773,
        2.06997,
        2.09437,
        2.07507,
        2.07816,
        2.04155,
        2.05337,
        2.06179,
        2.04778,
        2.03894,
        2.00611,
        1.9972,
        2.01803,
        2.0263,
        1.94602,
        2.01735,
        2.06966,
        2.01638,
        2.07872,
        2.08533,
        2.0417,
        2.07769,
        2.07431,
        2.04954,
        2.07526,
        2.08095,
        2.05836,
        2.08012,
        2.08294,
        2.05784,
        2.06847,
        2.0698,
        2.08448,
        2.08357,
        2.06827,
        2.05766,
        2.0641,
        2.07635,
        2.07478,
        2.06969,
        2.06531,
        2.09195,
        2.0577,
        2.05808,
        2.05946,
        2.04861,
        2.04796,
        2.04525,
        2.09392,
        2.09726,
        2.04289,
        2.06435,
        2.06562,
        2.07729,
        2.09682,
        2.08025,
        2.09554,
        2.06127,
        2.05831,
        2.0619,
        2.07647,
        2.0865,
        2.08605,
        2.08427,
        2.06561,
        2.07269,
        2.08738,
        2.07007,
        2.08718,
        2.08097,
        2.06139,
        2.06831,
        2.08861,
        2.08355,
        2.06232,
        2.02794,
        2.03703,
        2.07706,
        2.07576,
        2.0571,
        2.0448,
        2.04693,
        2.0629,
        2.06078,
        2.01996,
        2.03625,
        2.05841,
        2.06838,
        2.06586,
        2.05339,
        2.06122,
        2.03682,
        2.02384,
        2.03265,
        2.06711,
        2.06806,
        2.04224,
        2.0255,
        2.05964,
        2.08859,
        2.07796,
        2.04553,
        2.06325,
        2.06322,
        2.0641,
        2.0545,
        2.07139,
        2.05243,
        2.03251,
        2.05199,
        2.05985,
        2.05686,
        2.06259,
        2.07351,
        2.07242,
        2.07829,
        2.0589,
        2.06488,
        2.08358,
        2.06854,
        2.05241,
        2.05273,
        2.05577,
        2.07814,
        2.07551,
        2.06003,
        2.07005,
        2.05697,
        2.05705,
        2.06254,
        2.05374,
        2.08798,
        2.07298,
        2.06198,
        2.04055,
        2.0186,
        2.03856,
        2.04026,
        2.08559,
        2.10628,
        2.09064,
        2.07174,
        2.03944,
        2.06781,
        2.01783,
        2.00093,
        2.04857,
        2.08658,
        2.08025,
        2.06175,
        2.06056,
        2.08633,
        2.0815,
        2.06163,
        2.07,
        2.05882,
        2.07526,
        2.06761,
        2.07456,
        2.09185,
        2.08804,
        2.06621,
        2.05709,
        2.06762,
        2.05649,
        2.04855,
        2.07336,
        2.05825,
        2.05855,
        2.05998,
        2.05439,
        2.05789,
        2.09541,
        2.0977,
        2.07974,
        2.08346,
        2.09344,
        2.08903,
        2.06864,
        2.06112,
        2.05454,
        2.0534,
        2.06166,
        2.08671,
        2.0784,
        2.04242,
        2.07906,
        2.07053,
        2.09856,
        2.0894,
        2.05893,
        2.0314,
        2.03791,
        2.06214,
        2.05565,
        2.02928,
        2.03439,
        2.01796,
        2.03039,
        2.06011,
        2.05759,
        2.08161,
        2.03682,
        2.08199,
        2.04341,
        2.04377,
        2.10407,
        2.04236,
        2.06867,
        2.20363,
        2.17118,
        2.02414,
        2.08695,
        2.17868,
        2.25473,
        2.22019,
        2.22124,
        2.25561,
        2.26011,
        2.27943,
        2.28156,
        2.2958,
        2.32876,
        2.34456,
        2.38874,
        2.46087,
        2.52208,
        2.54927,
        2.65342,
        2.79244,
        2.86309,
        2.93305,
        2.93998,
        2.9192,
        2.83435,
        2.72438,
        2.6463,
        2.56969,
        2.46882,
        2.39844,
        2.3411,
        2.27435,
        2.24206,
        2.18844,
        2.1748,
        2.15625,
        2.14523,
        2.14736,
        2.12966,
        2.13653,
        2.11531,
        2.06403,
        2.06376,
        2.01031,
        2.02961,
        2.06038,
        2.0974,
        2.11432,
        2.10996,
        2.06185,
        2.07418,
        2.10175,
        2.10128,
        2.0841,
        2.09399,
        2.06907,
        2.10296,
        2.09771,
        2.09612,
        2.06854,
        2.0946,
        2.08305,
        2.08204,
        2.08995,
        2.05877,
        2.04351,
        2.07536,
        2.06813,
        2.06611,
        2.07636,
        2.0885,
        2.08078,
        2.09681,
        2.09497,
        2.08754,
        2.06812,
        2.08677,
        2.07455,
        2.08117,
        2.0976,
        2.05843,
        2.09857,
        2.06949,
        2.07091,
        2.08316,
        2.0628,
        2.05454,
        2.07724,
        2.06636,
        2.06881,
        2.07922,
        2.04306,
        2.03156,
        2.0512,
        2.04401,
        2.03397,
        2.05562,
        2.07956,
        2.10307,
        2.06789,
        2.1126,
        2.10072,
        2.09556,
        2.07092,
        2.0625,
        2.0486,
        2.05777,
        2.05878,
        2.08697,
        2.11912,
        2.08165,
        2.04496,
        2.06965,
        2.05657,
        2.04434,
        2.07138,
        2.0576,
        2.0395,
        2.08072,
        2.08122,
        2.08728,
        2.07065,
        2.07435,
        2.08309,
        2.09587,
        2.09572,
        2.08029,
        2.08411,
        2.06063,
        2.05628,
        2.09667,
        2.07736,
        2.05382,
        2.03649,
        2.08077,
        2.08018,
        2.09862,
        2.08448,
        2.0675,
        2.02577,
        2.04762,
        2.07016,
        2.05702,
        2.05044,
        2.06218,
        2.07124,
        2.02838,
        2.05531,
        2.05288,
        2.07288,
        2.10363,
        2.1103,
        2.11604,
        2.12063,
        2.085,
        2.10169,
        2.13941,
        2.10549,
        2.07581,
        2.05078,
        2.10386,
        2.12066,
        2.08022,
        2.06693,
        2.049,
        2.0845,
        2.09104,
        2.08045,
        2.0494,
        2.02653,
        2.02132,
        2.0304,
        2.07618,
        2.09784,
        2.09215,
        2.07683,
        2.08212,
        2.08542,
        2.09423,
        2.08505,
        2.08058,
        2.0702,
        2.0801,
        2.10605,
        2.10223,
        2.07893,
        2.07044,
        2.09904,
        2.08973,
        2.07603,
        2.08689,
        2.08085,
        2.08839,
        2.08746,
        2.08631,
        2.06853,
        2.08202,
        2.08619,
        2.05164,
        2.0656,
        2.04413,
        2.06117,
        2.05828,
        2.02566,
        2.04936,
        2.03951,
        2.05643,
        2.03949,
        2.0408,
        2.08363,
        2.0497,
        2.0363,
        2.08864,
        2.08826,
        2.06337,
        2.05724,
        2.04766,
        2.05705,
        2.06516,
        2.08134,
        2.04584,
        2.02519,
        2.03549,
        2.05894,
        2.03779,
        2.05192,
        2.07451,
        2.08029,
        2.17657,
        2.07412,
        2.08687,
        2.09953,
        2.07675,
        2.05587,
        2.10448,
        2.10344,
        2.09879,
        2.07651,
        2.06416,
        2.0644,
        2.05119,
        2.09562,
        2.09213,
        2.05972,
        2.07476,
        2.0981,
        2.07643,
        2.05488,
        2.04518,
        2.05941,
        2.04727,
        2.05018,
        2.05895,
        2.06794,
        2.06691,
        2.05795,
        2.07426,
        2.0867,
        2.06667,
        2.06491,
        2.06806,
        2.06796,
        2.09072,
        2.08183,
        2.06365,
        2.0604,
        2.04033,
        2.05389,
        2.06049,
        2.07358,
        2.07304,
        2.06849,
        2.05654,
        2.04605,
        2.03714,
        2.06058,
        2.05833,
        2.05823,
        2.09128,
        2.086,
        2.08156,
        2.07026,
        2.05246,
        2.07366,
        2.08686,
        2.07103,
        2.06834,
        2.05686,
        2.09307,
        2.11329,
        2.0818,
        2.04129,
        2.05652,
        2.06785,
        2.06187,
        2.08334,
        2.04934,
        2.03974,
        2.05077,
        2.0139,
        2.05198,
        2.08724,
        2.07374,
        2.06832,
        2.05875,
        2.06236,
        2.05173,
        2.03785,
        2.07126,
        2.08577,
        2.07471,
        2.08125,
        2.07097,
        2.09656,
        2.07785,
        2.06654,
        2.08302,
        2.0873,
        2.06396,
        2.03923,
        2.07059,
        2.06413,
        2.04994,
        2.04964,
        2.06994,
        2.07265,
        2.08348,
        2.07384,
        2.0754,
        2.06195,
        2.0879,
        2.09052,
        2.05889,
        2.05929,
        2.05716,
        2.05054,
        2.04997,
        2.08266,
        2.09165,
        2.08153,
        2.06613,
        2.05037,
        2.04475,
        2.0699,
        2.06507,
        2.07687,
        2.06167,
        2.07604,
        2.07942,
        2.07182,
        2.09354,
        2.11282,
        2.11114,
        2.10742,
        2.10465,
        2.09923,
        2.0796,
        2.0881,
        2.07752,
        2.09424,
        2.14113,
        2.06164,
        2.08959,
        2.09587,
        2.04842,
        2.01922,
        2.02938,
        2.04706,
        2.04885,
        2.04613,
        2.01462,
        1.92451,
        1.85294,
        1.98438,
        1.95728,
        1.9967,
        2.04076,
        2.0649,
        2.12614,
        2.20546,
        2.25508,
        2.16588,
        2.13464,
        2.21977,
        2.21113,
        2.24943,
        2.29303,
        2.249,
        2.31326,
        2.37746,
        2.39928,
        2.42189,
        2.46314,
        2.56432,
        2.67971,
        2.76665,
        2.87478,
        2.97947,
        2.97613,
        2.92423,
        2.85603,
        2.76081,
        2.67627,
        2.59197,
        2.49773,
        2.43879,
        2.35281,
        2.29764,
        2.25872,
        2.20557,
        2.17778,
        2.16271,
        2.14075,
        2.11643,
        2.09621,
        2.08895,
        2.06576,
        2.06853,
        2.05834,
        2.06685,
        2.07352,
        2.05779,
        2.07795,
        2.1366,
        2.09895,
        2.0722,
        2.07359,
        2.08604,
        2.07853,
        2.07523,
        2.07913,
        2.06212,
        2.112,
        2.08193,
        2.0782,
        2.07359,
        2.06807,
        2.06356,
        2.07818,
        2.0795,
        2.08415,
        2.07148,
        2.06253,
        2.05376,
        2.0558,
        2.07103,
        2.10517,
        2.0926,
        2.0792,
        2.06419,
        2.07005,
        2.0755,
        2.09205,
        2.06503,
        2.07951,
        2.06449,
        2.05092,
        2.05866,
        2.08648,
        2.07133,
        2.07381,
        2.07628,
        2.08719,
        2.0808,
        2.0881,
        2.07127,
        2.05924,
        2.09108,
        2.08911,
        2.0734,
        2.07106,
        2.06984,
        2.08104,
        2.06982,
        2.07489,
        2.07683,
        2.05701,
        2.06412,
        2.07512,
        2.08796,
        2.07932,
        2.09135,
        2.11623,
        2.08218,
        2.09148,
        2.08052,
        2.10107,
        2.09018,
        2.08112,
        2.109,
        2.06674,
        2.07947,
        2.0786,
        2.07104,
        2.09631,
        2.11134,
        2.07411,
        2.09303,
        2.06735,
        2.06742,
        2.07324,
        2.069,
        2.05012,
        2.0451,
        2.07574,
        2.08443,
        2.07743,
        2.06184,
        2.06648,
        2.0701,
        2.07708,
        2.0697,
        2.0692,
        2.06895,
        2.09919,
        2.0554,
        2.06833,
        2.0726,
        2.07376,
        2.08639,
        2.08482,
        2.08105,
        2.08683,
        2.07462,
        2.07653,
        2.08194,
        2.07668,
        2.06117,
        2.07746,
        2.0851,
        2.07622,
        2.07787,
        2.04997,
        2.05544,
        2.0503,
        2.05664,
        2.06144,
        2.06093,
        2.05052,
        2.05781,
        2.07302,
        2.06354,
        2.08669,
        2.07622,
        2.07921,
        2.06323,
        2.07093,
        2.07072,
        2.05748,
        2.07477,
        2.05244,
        2.05918,
        2.0555,
        2.07501,
        2.05166,
        2.06816,
        2.06835,
        2.0541,
        2.04944,
        2.04446,
        2.06016,
        2.07725,
        2.05761,
        2.05764,
        2.07744,
        2.04583,
        2.08675,
        2.07123,
        2.0446,
        2.05148,
        2.0715,
        2.06005,
        2.07894,
        2.06029,
        2.05233,
        2.05927,
        2.07673,
        2.03935,
        2.03949,
        2.09449,
        2.06343,
        2.05592,
        2.07535,
        2.06012,
        2.0555,
        2.06228,
        2.05468,
        2.05719,
        2.02485,
        2.00844,
        2.05,
        2.06537,
        2.02443,
        2.02291,
        2.03753,
        2.06444,
        2.09157,
        2.07494,
        2.0493,
        2.08686,
        2.06958,
        2.08116,
        2.07973,
        2.09593,
        2.06659,
        2.07125,
        2.06062,
        2.04201,
        2.07082,
        2.08419,
        2.06994,
        2.05089,
        2.0539,
        2.04109,
        2.06213,
        2.04232,
        2.04117,
        2.06882,
        2.05371,
        2.03644,
        2.05146,
        2.0491,
        2.06051,
        2.07493,
        2.07353,
        2.06658,
        2.05784,
        2.10536,
        2.06581,
        2.06065,
        2.05723,
        2.06686,
        2.09971,
        2.08483,
        2.05736,
        2.05675,
        2.04594,
        2.06305,
        2.06833,
        2.06163,
        2.07004,
        2.07271,
        2.08258,
        2.06394,
        2.07306,
        2.05383,
        2.05819,
        2.0853,
        2.06682,
        2.08486,
        2.06845,
        2.07189,
        2.07163,
        2.05424,
        2.06736,
        2.07714,
        2.07129,
        2.05162,
        2.06739,
        2.07604,
        2.04825,
        2.04274,
        2.0551,
        2.05853,
        2.08031,
        2.05578,
        2.07835,
        2.0812,
        2.08417,
        2.09433,
        2.0816,
        2.05962,
        2.06476,
        2.07414,
        2.07354,
        2.06003,
        2.03144,
        2.04434,
        2.05806,
        2.05686,
        2.06074,
        2.04066,
        2.04339,
        2.05589,
        2.06476,
        2.03175,
        2.04373,
        2.06135,
        2.03378,
        2.01662,
        2.02934,
        2.06091,
        2.05109,
        2.05288,
        2.04974,
        2.05089,
        2.03604,
        2.0344,
        2.06125,
        2.04106,
        2.03571,
        2.00686,
        2.03724,
        2.04242,
        2.03669,
        2.08452,
        2.05188,
        2.0722,
        2.03226,
        2.04282,
        2.06023,
        2.06862,
        2.08743,
        2.0941,
        2.09718,
        2.06116,
        2.05746,
        2.07837,
        2.07614,
        2.06656,
        2.04683,
        2.07752,
        2.05579,
        2.06384,
        2.05985,
        2.05428,
        2.0402,
        2.08046,
        2.07689,
        2.06027,
        2.07277,
        2.05507,
        2.06397,
        2.05031,
        2.05001,
        2.04064,
        2.06431,
        2.01386,
        2.01506,
        2.01507,
        2.05074,
        2.05776,
        2.03444,
        2.06092,
        2.04425,
        2.0267,
        2.00561,
        2.01626,
        2.02286,
        2.04016,
        2.02413,
        2.01396,
        2.06843,
        2.0283,
        2.0621,
        2.03893,
        2.05084,
        2.06064,
        2.06311,
        2.01888,
        1.965,
        2.00575,
        2.01291,
        2.02475,
        1.94118,
        1.98061,
        1.91295,
        1.70032,
        2.31721,
        2.11187,
        2.08855,
        2.13634,
        2.11956,
        2.12629,
        2.13824,
        2.1638,
        2.18624,
        2.24256,
        2.24996,
        2.26595,
        2.26145,
        2.27219,
        2.31657,
        2.34795,
        2.40505,
        2.45202,
        2.51523,
        2.617,
        2.66964,
        2.76024,
        2.85808,
        2.86478,
        2.90558,
        2.83628,
        2.76438,
        2.65955,
        2.60741,
        2.49991,
        2.44438,
        2.40557,
        2.33604,
        2.29716,
        2.25223,
        2.21621,
        2.18738,
        2.17129,
        2.14661,
        2.08721,
        2.10474,
        2.09973,
        2.08791,
        2.0875,
        2.09756,
        2.08501,
        2.08548,
        2.07703,
        2.05507,
        2.05845,
        2.06026,
        2.04379,
        2.05999,
        2.05433,
        2.04476,
        2.05474,
        2.06463,
        2.04622,
        2.02452,
        2.03882,
        2.06951,
        2.0671,
        2.06239,
        2.0621,
        2.08047,
        2.05527,
        2.05531,
        2.06403,
        2.0637,
        2.07678,
        2.02605,
        2.05964,
        2.05923,
        2.0577,
        2.06453,
        2.05823,
        2.04774,
        2.04693,
        2.06418,
        2.06294,
        2.03877,
        2.05033,
        2.06334,
        2.07943,
        2.08148,
        2.07204,
        2.0711,
        2.06819,
        2.07495,
        2.07191,
        2.05858,
        2.03965,
        2.05108,
        2.08379,
        2.09596,
        2.06417,
        2.04408,
        2.07396,
        2.07059,
        2.09127,
        2.12564,
        2.08617,
        2.07421,
        2.04716,
        2.06263,
        2.0828,
        2.06783,
        2.06153,
        2.05438,
        2.06458,
        2.07252,
        2.06327,
        2.0944,
        2.08216,
        2.07448,
        2.07832,
        2.07856,
        2.07834,
        2.07821,
        2.06712,
        2.04931,
        2.05848,
        2.05868,
        2.04174,
        2.05023,
        2.0449,
        2.05956,
        2.07653,
        2.07242,
        2.06114,
        2.0599,
        2.05206,
        2.04833,
        2.06288,
        2.07181,
        2.05654,
        2.07386,
        2.08003,
        2.05628,
        2.09605,
        2.10155,
        2.08762,
        2.08112,
        2.07847,
        2.07235,
        2.05841,
        2.05953,
        2.06454,
        2.05266,
        2.0499,
        2.05867,
        2.06988,
        2.0915,
        2.09132,
        2.07291,
        2.06858,
        2.07034,
        2.0831,
        2.05593,
        2.05201,
        2.06341,
        2.05444,
        2.05326,
        2.0892,
        2.10497,
        2.08054,
        2.07802,
        2.0915,
        2.0775,
        2.09992,
        2.07913,
        2.05954,
        2.07861,
        2.0416,
        2.07393,
        2.09147,
        2.0806,
        2.07658,
        2.10017,
        2.08718,
        2.08099,
        2.04871,
        2.05649,
        2.10218,
        2.07411,
        2.06628,
        2.06215,
        2.08503,
        2.06646,
        2.07288,
        2.07312,
        2.06227,
        2.05988,
        2.08783,
        2.06895,
        2.07144,
        2.06904,
        2.05466,
        2.06067,
        2.07071,
        2.06421,
        2.06724,
        2.07696,
        2.09601,
        2.0729,
        2.08771,
        2.05169,
        2.07567,
        2.14257,
        2.06622,
        2.07766,
        2.07908,
        2.06609,
        2.0666,
        2.08579,
        2.08106,
        2.1014,
        2.08994,
        2.1078,
        2.10682,
        2.07178,
        2.06377,
        2.08265,
        2.04927,
        2.07354,
        2.05855,
        2.06209,
        2.08644,
        2.06736,
        2.06711,
        2.0691,
        2.08141,
        2.06474,
        2.06848,
        2.10897,
        2.09954,
        2.0843,
        2.06603,
        2.06698,
        2.02316,
        2.00858,
        2.07658,
        1.99978,
        2.11464,
        1.97779,
        2.04741,
        2.03524,
        2.07671,
        2.1533,
        2.19762,
        2.10519,
        2.05466,
        2.03077,
        2.10167,
        2.11453,
        2.07722,
        2.07806,
        2.07372,
        2.04636,
        2.09507,
        2.06242,
        2.06152,
        2.08613,
        2.09637,
        2.09023,
        2.07469,
        2.09377,
        2.10085,
        2.09559,
        2.07499,
        2.08932,
        2.09246,
        2.07305,
        2.07256,
        2.10206,
        2.06597,
        2.0703,
        2.04931,
        2.08496,
        2.08149,
        2.07632,
        2.06584,
        2.07826,
        2.06765,
        2.07686,
        2.08928,
        2.09175,
        2.10618,
        2.04114,
        2.05061,
        2.08662,
        2.09576,
        2.08317,
        2.09083,
        2.09428,
        2.08257,
        2.0909,
        2.07462,
        2.1065,
        2.07703,
        2.08507,
        2.10336,
        2.10032,
        2.04982,
        2.05554,
        2.0606,
        2.07273,
        2.08133,
        2.1002,
        2.10742,
        2.08133,
        2.08618,
        2.12276,
        2.11046,
        2.08492,
        2.09639,
        2.11654,
        2.0449,
        2.08789,
        2.10571,
        2.07503,
        2.05399,
        2.04461,
        2.0417,
        2.08411,
        2.07399,
        2.07772,
        2.08844,
        2.0767,
        2.07231,
        2.07266,
        2.08581,
        2.07419,
        2.06959,
        2.07539,
        2.08474,
        2.07664,
        2.06547,
        2.05485,
        2.04853,
        2.07863,
        2.08752,
        2.03961,
        2.05732,
        2.08423,
        2.04805,
        2.05437,
        2.04254,
        2.05722,
        2.07887,
        2.05204,
        2.05177,
        2.05604,
        2.08032,
        2.0865,
        2.09078,
        2.07643,
        2.11861,
        2.10183,
        2.07526,
        2.06303,
        2.0976,
        2.06557,
        2.08125,
        2.08231,
        2.08359,
        2.06693,
        2.07622,
        2.07869,
        2.08104,
        2.09531,
        2.10674,
        2.09087,
        2.09383,
        2.06946,
        2.06929,
        2.09823,
        2.08767,
        2.0992,
        2.13618,
        2.09488,
        2.08471,
        2.05777,
        2.07557,
        2.07237,
        2.05889,
        2.08183,
        2.07111,
        2.0881,
        2.08856,
        2.07113,
        2.05727,
        2.0662,
        2.04402,
        2.04736,
        2.05791,
        2.04779,
        2.06409,
        2.089,
        2.07664,
        2.03319,
        2.07612,
        2.03929,
        2.05888,
        2.04961,
        2.02584,
        2.00472,
        1.93876,
        2.03032,
        1.93644,
        1.82494,
        2.26518,
        2.29887,
        2.36272,
        2.06713,
        2.15688,
        2.1448,
        2.06991,
        2.19421,
        2.21632,
        2.26254,
        2.2376,
        2.26616,
        2.25732,
        2.30642,
        2.29232,
        2.26449,
        2.38341,
        2.40357,
        2.30634,
        2.30835,
        2.60022,
        2.64728,
        2.79563,
        2.75135,
        2.58685,
        2.48409,
        2.36765,
        2.3678,
        2.31224,
        2.24282,
        2.19316,
        2.23669,
        2.16547,
        2.12673,
        2.11825,
        2.04415,
        2.09511,
        2.11321,
        2.08799,
        2.15929,
        2.0787,
        2.04161,
        2.04094,
        2.08319,
        2.07044,
        2.09141,
        2.0842,
        2.12131,
        2.07808,
        2.09979,
        2.09157,
        2.07625,
        2.06779,
        2.0545,
        2.10958,
        2.09984,
        2.06482,
        2.05291,
        2.06188,
        2.08472,
        2.05878,
        2.08914,
        2.08898,
        2.09593,
        2.053,
        2.08254,
        2.04298,
        2.09887,
        2.09571,
        2.08618,
        2.08815,
        2.05355,
        2.07654,
        2.05722,
        2.04291,
        2.06192,
        2.04639,
        2.04449,
        2.03666,
        2.04897,
        2.11742,
        2.04954,
        2.06974,
        2.07667,
        2.08524,
        2.07059,
        2.07868,
        2.0828,
        2.0693,
        2.05733,
        2.09593,
        2.08906,
        2.09838,
        2.07065,
        2.05001,
        2.05788,
        2.08576,
        2.07626,
        2.07309,
        2.09903,
        2.073,
        2.10178,
        2.07315,
        2.09805,
        2.0879,
        2.05826,
        2.06604,
        2.09098,
        2.06988,
        2.06995,
        2.09449,
        2.02743,
        2.02453,
        2.03648,
        2.06256,
        2.05305,
        2.07228,
        2.06738,
        2.08366,
        2.07995,
        2.08062,
        2.08541,
        2.05516,
        2.0591,
        2.06088,
        2.0689,
        2.08206,
        2.05684,
        2.07988,
        2.052,
        2.06346,
        2.06062,
        2.04364,
        2.05839,
        2.07249,
        2.07925,
        2.05852,
        2.09764,
        2.07217,
        2.04298,
        2.06578,
        2.08073,
        2.07497,
        2.07334,
        2.07745,
        2.03523,
        2.02917,
        2.04597,
        2.09502,
        2.09182,
        2.06332,
        2.03992,
        2.07213,
        2.06622,
        2.05632,
        2.09072,
        2.04566,
        2.07445,
        2.05815,
        2.06157,
        2.05931,
        2.07227,
        2.03163,
        2.0222,
        2.02283,
        2.05597,
        2.07606,
        2.03509,
        2.06702,
        2.05877,
        2.03472,
        2.08142,
        2.07757,
        2.10746,
        2.07074,
        2.0509,
        2.06583,
        2.08236,
        2.05936,
        2.06102,
        2.05289,
        2.04367,
        2.07126,
        2.07485,
        2.09778,
        2.08322,
        2.06712,
        2.12945,
        2.0668,
        2.07243,
        2.05118,
        2.05199,
        2.09393,
        2.06384,
        2.06598,
        2.08228,
        2.06246,
        2.04823,
        2.06421,
        2.07358,
        2.03839,
        2.04878,
        2.02352,
        2.10717,
        2.07679,
        2.05879,
        2.01544,
        2.04829,
        2.04554,
        2.08049,
        2.07094,
        2.04512,
        2.05676,
        2.02663,
        2.05595,
        2.06481,
        2.05601,
        2.052,
        2.00809,
        2.05855,
        2.07546,
        2.07751,
        2.0934,
        2.04942,
        2.0621,
        2.02518,
        2.08476,
        2.04131,
        2.048,
        2.07773,
        2.07575,
        2.0603,
        2.0714,
        2.056,
        2.03167,
        2.06471,
        2.05312,
        2.0447,
        2.0569,
        2.06751,
        2.06593,
        2.07312,
        2.06244,
        2.08126,
        2.07723,
        2.05809,
        2.07884,
        2.06582,
        2.05634,
        2.09717,
        2.07972,
        2.06762,
        2.0433,
        2.03771,
        2.05422,
        2.06856,
        2.07683,
        2.07723,
        2.07833,
        2.04267,
        2.05,
        2.02205,
        2.02657,
        2.07294,
        2.0816,
        2.07748,
        2.10549,
        2.05275,
        2.035,
        2.05241,
        2.07607,
        2.07003,
        2.03964,
        2.06319,
        2.09637,
        2.06099,
        2.07289,
        2.07812,
        2.04474,
        2.0748,
        2.05836,
        2.06372,
        2.07623,
        2.08897,
        2.11999,
        2.07964,
        2.0872,
        2.07172,
        2.07351,
        2.07612,
        2.06429,
        2.03268,
        2.0469,
        2.04807,
        2.06956,
        2.05246,
        2.06822,
        2.0567,
        2.08586,
        2.05759,
        2.0527,
        2.06923,
        2.0608,
        2.09267,
        2.09433,
        2.09242,
        2.05179,
        2.11633,
        2.07891,
        2.11491,
        2.07676,
        2.05928,
        2.08787,
        2.04233,
        2.04293,
        2.08063,
        2.06633,
        2.07165,
        2.07324,
        2.06835,
        2.04401,
        2.05249,
        2.09183,
        2.05566,
        2.06578,
        2.04049,
        2.0454,
        2.06486,
        2.06118,
        2.07056,
        2.05086,
        2.07289,
        2.05765,
        2.06133,
        2.05721,
        2.0962,
        2.05779,
        2.05843,
        2.09673,
        2.05087,
        2.10591,
        2.07009,
        2.06469,
        2.05237,
        2.06539,
        2.06845,
        2.07643,
        2.06976,
        2.08199,
        2.05791,
        2.04281,
        2.05117,
        2.03144,
        2.07007,
        2.07039,
        2.09666,
        2.08319,
        2.08469,
        2.03941,
        2.06971,
        2.07295,
        2.0483,
        2.11937,
        2.10581,
        2.08236,
        2.06249,
        2.01432,
        2.04087,
        2.07636,
        2.05777,
        2.06769,
        2.06218,
        2.08641,
        2.10124,
        2.04094,
        2.07013,
        2.0565,
        2.10174,
        2.06734,
        2.1055,
        2.10453,
        2.02875,
        2.06706,
        2.03284,
        2.02615,
        2.0532,
        2.07278,
        2.10258,
        2.06955,
        2.06818,
        2.09094,
        2.04913,
        2.06273,
        2.01982,
        2.05633,
        2.05119,
        2.09978,
        2.05127,
        2.04988,
        2.06301,
        2.08511,
        2.07881,
        2.07667,
        2.07944,
        2.04144,
        2.09299,
        2.06675,
        2.04568,
        2.0451,
        2.07505,
        2.08516,
        2.05974,
        2.03764,
        2.08304,
        2.04899,
        2.00522,
        2.04958,
        2.12158,
        2.01539,
        1.95531,
        2.07868,
        2.06865,
        1.94736,
        2.0753,
        2.04643,
        1.97473,
        2.13821,
        2.34001,
        2.09149,
        2.10799,
        2.14955,
        2.12383,
        2.25987,
        2.11833,
        2.22343,
        2.25454,
        2.26538,
        2.26805,
        2.29216,
        2.28301,
        2.29562,
        2.30195,
        2.37071,
        2.40024,
        2.40882,
        2.53144,
        2.56961,
        2.70189,
        2.71605,
        2.86036,
        2.87527,
        2.86491,
        2.82,
        2.75251,
        2.64121,
        2.54531,
        2.48868,
        2.44596,
        2.35464,
        2.32091,
        2.29773,
        2.23408,
        2.20278,
        2.14217,
        2.17658,
        2.12449,
        2.11984,
        2.128,
        2.09098,
        2.12859,
        2.07464,
        2.09574,
        2.06666,
        2.0898,
        2.10909,
        2.0553,
        2.09692,
        2.10013,
        2.07404,
        2.07771,
        2.10539,
        2.09852,
        2.05852,
        2.04815,
        2.05438,
        2.02055,
        2.08945,
        2.06976,
        2.10696,
        2.08891,
        2.13256,
        2.05843,
        2.03654,
        2.02817,
        2.06379,
        2.08069,
        2.06158,
        2.07303,
        2.08755,
        2.08676,
        2.02953,
        2.04147,
        2.07787,
        2.07935,
        2.09021,
        2.08732,
        2.0328,
        2.0369,
        2.07197,
        2.05396,
        2.08564,
        2.05542,
        2.08153,
        2.02982,
        2.0497,
        2.05471,
        2.05055,
        2.07227,
        2.06456,
        2.06159,
        2.07283,
        2.06781,
        2.03722,
        2.06815,
        2.04464,
        2.06792,
        2.09703,
        2.12331,
        2.10968,
        2.03318,
        2.06378,
        2.13257,
        2.06957,
        2.06227,
        2.06397,
        2.07265,
        2.01401,
        2.07046,
        2.07965,
        2.09052,
        2.08328,
        2.07391,
        2.08604,
        2.08909,
        2.10599,
        2.07877,
        2.10302,
        2.0618,
        2.08155,
        2.05859,
        null,
        2.06611,
        2.05702,
        2.05169,
        2.04964,
        2.04093,
        2.05196,
        2.05541,
        2.05314,
        2.04374,
        2.04348,
        2.04987,
        2.03818,
        2.05402,
        2.0775,
        2.07339,
        2.0564,
        2.06029,
        2.06464,
        2.06279,
        2.0611,
        2.06904,
        2.08187,
        2.08271,
        2.07989,
        2.06831,
        2.07513,
        2.07553,
        2.04575,
        2.0636,
        2.07255,
        2.07445,
        2.08901,
        2.09274,
        2.07516,
        2.08507,
        2.0758,
        2.05107,
        2.06204,
        2.07514,
        2.05653,
        2.06085,
        2.08173,
        2.05927,
        2.03424,
        2.06347,
        2.06831,
        2.07597,
        2.07441,
        2.08595,
        2.0796,
        2.08779,
        2.07604,
        2.0811,
        2.07082,
        2.07604,
        2.09285,
        2.08337,
        2.05288,
        2.08106,
        2.08917,
        2.05962,
        2.07796,
        2.09878,
        2.09937,
        2.08036,
        2.05989,
        2.07165,
        2.07435,
        2.07482,
        2.05552,
        2.07385,
        2.10846,
        2.08478,
        2.08604,
        2.07044,
        2.07091,
        2.05953,
        2.06355,
        2.08948,
        2.08486,
        2.06198,
        2.05903,
        2.05978,
        2.07333,
        2.07914,
        2.08629,
        2.06445,
        2.05073,
        2.05819,
        2.08233,
        2.09077,
        2.06871,
        2.04902,
        2.06554,
        2.06968,
        2.07376,
        2.07311,
        2.0565,
        2.05607,
        2.05528,
        2.05255,
        2.08015,
        2.08037,
        2.06624,
        2.05111,
        2.06867,
        2.05434,
        2.03646,
        2.05359,
        2.0687,
        2.07372,
        2.08911,
        2.07733,
        2.01984,
        2.02347,
        2.0013,
        1.99452,
        2.00821,
        2.06751,
        2.06745,
        2.04329,
        1.96345,
        1.94647,
        1.89822,
        1.71332,
        1.65165,
        2.18091,
        2.13387,
        2.21672,
        2.18162,
        2.12957,
        2.1049,
        2.13594,
        2.16994,
        2.20661,
        2.21669,
        2.23114,
        2.23185,
        2.22346,
        2.22563,
        2.25227,
        2.29946,
        2.3481,
        2.417,
        2.50665,
        2.5953,
        2.69194,
        2.78001,
        2.81964,
        2.78823,
        2.70261,
        2.61518,
        2.50362,
        2.43588,
        2.3844,
        2.32316,
        2.27217,
        2.25236,
        2.19934,
        2.1717,
        2.16071,
        2.12668,
        2.10835,
        2.10317,
        2.08536,
        2.08623,
        2.08434,
        2.06191,
        2.06966,
        2.09619,
        2.07226,
        2.05888,
        2.05406,
        2.05182,
        2.07472,
        2.09597,
        2.07997,
        2.07186,
        2.07848,
        2.09746,
        2.08766,
        2.06518,
        2.03642,
        2.05608,
        2.04823,
        2.0697,
        2.0816,
        2.08457,
        2.08676,
        2.09326,
        2.0652,
        2.05392,
        2.07628,
        2.07606,
        2.05303,
        2.06829,
        2.0544,
        2.05208,
        2.06818,
        2.07983,
        2.08662,
        2.07198,
        2.09363,
        2.04899,
        2.07937,
        2.07228,
        2.06122,
        2.08007,
        2.08996,
        2.07461,
        2.0748,
        2.07804,
        2.08833,
        2.08355,
        2.08139,
        2.09139,
        2.07262,
        2.07877,
        2.07265,
        2.06133,
        2.07038,
        2.08303,
        2.07962,
        2.09031,
        2.06477,
        2.05478,
        2.08829,
        2.07696,
        2.07238,
        2.07432,
        2.06995,
        2.08357,
        2.08202,
        2.09836,
        2.08915,
        2.0818,
        2.06341,
        2.06665,
        2.08489,
        2.06513,
        2.08234,
        2.07713,
        2.07198,
        2.08104,
        2.08601,
        2.08179,
        2.08684,
        2.08259,
        2.06306,
        2.08504,
        2.08686,
        2.09555,
        2.10352,
        2.10814,
        2.11808,
        2.11053,
        2.09899,
        2.0955,
        2.11215,
        2.09589,
        2.101,
        2.08358,
        2.07426,
        2.08383,
        2.10432,
        2.11203,
        2.09089,
        2.09475,
        2.11448,
        2.12751,
        2.11354,
        2.13135,
        2.12654,
        2.12347,
        2.10221,
        2.10591,
        2.08877,
        2.08682,
        2.10689,
        2.08746,
        2.09801,
        2.10454,
        2.09282,
        2.07812,
        2.06706,
        2.06888,
        2.07801,
        2.08826,
        2.10909,
        2.1358,
        2.1103,
        2.0957,
        2.10086,
        2.09251,
        2.0911,
        2.10085,
        2.09634,
        2.09752,
        2.09481,
        2.10887,
        2.12063,
        2.1024,
        2.10548,
        2.09543,
        2.10337,
        2.10384,
        2.11917,
        2.10738,
        2.09072,
        2.06205,
        2.10615,
        2.10267,
        2.1121,
        2.12585,
        2.11429,
        2.11409,
        2.13017,
        2.12742,
        2.09764,
        2.07564,
        2.09643,
        2.11025,
        2.106,
        2.11001,
        2.15884,
        2.13723,
        2.1283,
        2.13337,
        2.11769,
        2.14449,
        2.17431,
        2.09915,
        2.11635,
        2.11575,
        2.13504,
        2.172,
        2.05771,
        2.03604,
        2.18932,
        2.40768,
        2.18657,
        2.04874,
        2.11319,
        2.12596,
        2.09973,
        2.11841,
        2.12291,
        2.11424,
        2.10306,
        2.07466,
        2.10816,
        2.11123,
        2.15496,
        2.18304,
        2.07562,
        2.09874,
        2.10029,
        2.06754,
        2.1,
        2.09756,
        2.08577,
        2.07292,
        2.08438,
        2.10682,
        2.11021,
        2.09904,
        2.08996,
        2.07887,
        2.07695,
        2.08936,
        2.09614,
        2.08439,
        2.10066,
        2.10056,
        2.09283,
        2.10434,
        2.09917,
        2.10392,
        2.08852,
        2.11082,
        2.12195,
        2.06973,
        2.07218,
        2.1032,
        2.09752,
        2.09909,
        2.0963,
        2.0943,
        2.06009,
        2.09932,
        2.09833,
        2.08561,
        2.08405,
        2.08332,
        2.07379,
        2.0855,
        2.11971,
        2.08833,
        2.08897,
        2.07914,
        2.08411,
        2.10356,
        2.11098,
        2.11347,
        2.11056,
        2.09972,
        2.09527,
        2.09418,
        2.09399,
        2.09531,
        2.07698,
        2.0815,
        2.09966,
        2.10305,
        2.0984,
        2.11213,
        2.1062,
        2.10561,
        2.08965,
        2.0874,
        2.11549,
        2.11736,
        2.10121,
        2.10002,
        2.1077,
        2.07848,
        2.08542,
        2.12259,
        2.11415,
        2.08766,
        2.0828,
        2.09808,
        2.10279,
        2.1002,
        2.10419,
        2.09205,
        2.09588,
        2.09784,
        2.11629,
        2.10958,
        2.11738,
        2.10452,
        2.08428,
        2.07936,
        2.08008,
        2.08361,
        2.12477,
        2.1194,
        2.11629,
        2.13106,
        2.11367,
        2.0879,
        2.08344,
        2.11416,
        2.11936,
        2.12421,
        2.13083,
        2.09763,
        2.11954,
        2.11942,
        2.09758,
        2.1089,
        2.10694,
        2.12087,
        2.12788,
        2.14238,
        2.10917,
        2.11291,
        2.11294,
        2.09672,
        2.11584,
        2.10051,
        2.07326,
        2.10879,
        2.11987,
        2.11865,
        2.13635,
        2.11871,
        2.11518,
        2.12933,
        2.11719,
        2.12113,
        2.09567,
        2.1115,
        2.12397,
        2.10091,
        2.09969,
        2.08208,
        2.12875,
        2.13641,
        2.131,
        2.11997,
        2.13192,
        2.13615,
        2.15343,
        2.12822,
        2.13975,
        2.12717,
        2.13255,
        2.11233,
        2.09369,
        2.12045,
        2.11969,
        2.12079,
        2.14164,
        2.14347,
        2.13804,
        2.13581,
        2.11092,
        2.11931,
        2.11856,
        2.09748,
        2.12991,
        2.05287,
        2.02941,
        2.05378,
        2.05079,
        2.06816,
        2.13988,
        1.96586,
        1.72634,
        2.03601,
        1.96068,
        2.11302,
        2.19424,
        2.13548,
        2.17758,
        2.13751,
        2.21868,
        2.20562,
        2.21674,
        2.22078,
        2.2162,
        2.23375,
        2.24297,
        2.25358,
        2.25615,
        2.24456,
        2.27557,
        2.34599,
        2.42071,
        2.48289,
        2.55831,
        2.62421,
        2.70191,
        2.77223,
        2.76524,
        2.70476,
        2.6052,
        2.52254,
        2.46816,
        2.41796,
        2.38885,
        2.33606,
        2.30839,
        2.2728,
        2.25887,
        2.24196,
        2.18805,
        2.19747,
        2.19738,
        2.1732,
        2.16167,
        2.15414,
        2.15866,
        2.15529,
        2.16775,
        2.15712,
        2.15937,
        2.15624,
        2.15869,
        2.17378,
        2.1791,
        2.163,
        2.17438,
        2.18274,
        2.15996,
        2.16407,
        2.18666,
        2.18593,
        2.17368,
        2.1946,
        2.17532,
        2.17075,
        2.2007,
        2.17248,
        2.16206,
        2.17005,
        2.18248,
        2.18137,
        2.20157,
        2.19176,
        2.17861,
        2.18123,
        2.19559,
        2.17921,
        2.19706,
        2.19051,
        2.18088,
        2.18571,
        2.20287,
        2.22214,
        2.24436,
        2.23581,
        2.23911,
        2.20688,
        2.21591,
        2.20243,
        2.1848,
        2.19058,
        2.19727,
        2.20601,
        2.20898,
        2.20625,
        2.20462,
        2.20797,
        2.20298,
        2.22199,
        2.22438,
        2.1985,
        2.23226,
        2.21224,
        2.2114,
        2.21465,
        2.21336,
        2.20334,
        2.19368,
        2.20739,
        2.22855,
        2.25194,
        2.21774,
        2.22902,
        2.23804,
        2.24817,
        2.21591,
        2.24552,
        2.23612,
        2.24198,
        2.24519,
        2.25184,
        2.24569,
        2.2284,
        2.22055,
        2.23589,
        2.24616,
        2.25717,
        2.25907,
        2.2496,
        2.25443,
        2.27351,
        2.26853,
        2.27105,
        2.2642,
        2.24817,
        2.27167,
        2.27647,
        2.27387,
        2.29391,
        2.29431,
        2.28118,
        2.30889,
        2.31177,
        2.32425,
        2.32507,
        2.31496,
        2.31122,
        2.3049,
        2.3287,
        2.32517,
        2.33231,
        2.33633,
        2.34648,
        2.34493,
        2.3724,
        2.39192,
        2.37335,
        2.37696,
        2.36221,
        2.34565,
        2.36765,
        2.38847,
        2.4027,
        2.39589,
        2.37089,
        2.41841,
        2.39293,
        2.40354,
        2.38862,
        2.41189,
        2.40717,
        2.41043,
        2.39952,
        2.39018,
        2.3955,
        2.43025,
        2.43821,
        2.43915,
        2.44199,
        2.45442,
        2.45913,
        2.44515,
        2.42725,
        2.44978,
        2.44659,
        2.44463,
        2.45667,
        2.48508,
        2.48541,
        2.44162,
        2.44573,
        2.4822,
        2.47265,
        2.47108,
        2.50453,
        2.49475,
        2.5039,
        2.5036,
        2.49672,
        2.47349,
        2.51216,
        2.46729,
        2.46615,
        2.49504,
        2.51264,
        2.47874,
        2.49447,
        2.50678,
        2.50189,
        2.48131,
        2.49407,
        2.49976,
        2.49251,
        2.49971,
        2.48233,
        2.49753,
        2.5082,
        2.51073,
        2.53056,
        2.51263,
        2.51427,
        2.52825,
        2.53818,
        2.53657,
        2.5544,
        2.5604,
        2.56419,
        2.55955,
        2.5518,
        2.55012,
        2.58022,
        2.56546,
        2.55886,
        2.55086,
        2.54442,
        2.52917,
        2.55736,
        2.5743,
        2.56486,
        2.52844,
        2.56044,
        2.55314,
        2.5637,
        2.5618,
        2.55109,
        2.511,
        2.54076,
        2.55565,
        2.54454,
        2.54803,
        2.57148,
        2.57647,
        2.57457,
        2.56925,
        2.59093,
        2.57357,
        2.57593,
        2.56594,
        2.59824,
        2.6056,
        2.57628,
        2.55499,
        2.55885,
        2.61146,
        2.57111,
        2.54615,
        2.55656,
        2.54536,
        2.53124,
        2.52061,
        2.50526,
        2.51022,
        2.53116,
        2.515,
        2.50382,
        2.49737,
        2.51058,
        2.49916,
        2.47774,
        2.47489,
        2.50266,
        2.48969,
        2.50021,
        2.51639,
        2.49785,
        2.49094,
        2.49484,
        2.50592,
        2.47447,
        2.44741,
        2.47671,
        2.47211,
        2.46777,
        2.46905,
        2.45217,
        2.4569,
        2.44918,
        2.45577,
        2.43292,
        2.42952,
        2.44787,
        2.43216,
        2.41741,
        2.43175,
        2.42571,
        2.43318,
        2.44225,
        2.43452,
        2.44628,
        2.40597,
        2.42762,
        2.43086,
        2.44518,
        2.42492,
        2.44971,
        2.44328,
        2.41227,
        2.38965,
        2.40425,
        2.39464,
        2.37695,
        2.39515,
        2.37684,
        2.32731,
        2.34786,
        2.35759,
        2.35882,
        2.35895,
        2.37318,
        2.35902,
        2.34986,
        2.33405,
        2.31296,
        2.32845,
        2.33877,
        2.32353,
        2.34012,
        2.31378,
        2.33988,
        2.30602,
        2.33054,
        2.31583,
        2.30697,
        2.30785,
        2.31795,
        2.30169,
        2.26746,
        2.27824,
        2.27035,
        2.17815,
        2.2539,
        2.27781,
        2.2825,
        2.26861,
        2.25996,
        2.25209,
        2.27268,
        2.25295,
        2.26912,
        2.2761,
        2.24404,
        2.23659,
        2.26815,
        2.25143,
        2.24704,
        2.24721,
        2.23659,
        2.26246,
        2.27403,
        2.26138,
        2.25303,
        2.19717,
        2.18582,
        2.18715,
        2.203,
        2.18276,
        2.19886,
        2.19323,
        2.23975,
        2.16189,
        2.15189,
        2.20221,
        2.26067,
        2.2642,
        2.28058,
        2.25824,
        2.22867,
        2.2301,
        2.25866,
        2.2612,
        2.23606,
        2.19506,
        2.23869,
        2.23596,
        2.21162,
        2.23976,
        2.19387,
        2.1967,
        2.18035,
        2.15716,
        2.20245,
        2.16275,
        2.15583,
        2.15463,
        2.18073,
        2.2145,
        2.18269,
        2.18192,
        2.18536,
        2.16137,
        2.19815,
        2.20805,
        2.18365,
        2.17117,
        2.16347,
        2.16278,
        2.17729,
        2.10248,
        2.09507,
        2.01713,
        2.06523,
        2.0489,
        2.14753,
        2.17286,
        2.21162,
        2.18673,
        2.15547,
        2.1497,
        2.24534,
        2.26329,
        2.27308,
        2.28003,
        2.27243,
        2.25388,
        2.24086,
        2.28488,
        2.27587,
        2.26236,
        2.26003,
        2.26599,
        2.27588,
        2.2989,
        2.32248,
        2.35925,
        2.40875,
        2.44319,
        2.52725,
        2.59795,
        2.65627,
        2.64706,
        2.56481,
        2.4612,
        2.38818,
        2.30288,
        2.29132,
        2.29842,
        2.27635,
        2.25735,
        2.21223,
        2.19824,
        2.2064,
        2.17478,
        2.12608,
        2.15444,
        2.15008,
        2.14166,
        2.14973,
        2.15378,
        2.16861,
        2.15212,
        2.1029,
        2.16296,
        2.14114,
        2.12496,
        2.14672,
        2.13725,
        2.12276,
        2.15438,
        2.14068,
        2.13769,
        2.15395,
        2.13832,
        2.08286,
        2.10517,
        2.12055,
        2.10643,
        2.09574,
        2.14513,
        2.14783,
        2.12277,
        2.15281,
        2.13783,
        2.11431,
        2.10329,
        2.12015,
        2.1122,
        2.12185,
        2.09728,
        2.12411,
        2.08728,
        2.11345,
        2.09349,
        2.10681,
        2.11396,
        2.12384,
        2.12621,
        2.14444,
        2.1046,
        2.12626,
        2.13906,
        2.09769,
        2.09141,
        2.09642,
        2.09905,
        2.08019,
        2.09532,
        2.12281,
        2.09648,
        2.10241,
        2.08442,
        2.10852,
        2.14233,
        2.13736,
        2.12533,
        2.10927,
        2.12338,
        2.11481,
        2.10091,
        2.12093,
        2.09507,
        2.11602,
        2.12582,
        2.11759,
        2.11079,
        2.12287,
        2.09415,
        2.11992,
        2.12936,
        2.11238,
        2.11477,
        2.10521,
        2.12042,
        2.12064,
        2.13157,
        2.1257,
        2.15737,
        2.12933,
        2.10831,
        2.10892,
        2.09107,
        2.12714,
        2.12678,
        2.11553,
        2.14199,
        2.12791,
        2.12948,
        2.1361,
        2.12661,
        2.10955,
        2.11297,
        2.10606,
        2.14315,
        2.11594,
        2.09998,
        2.13127,
        2.12836,
        2.11218,
        2.12436,
        2.12426,
        2.10811,
        2.14418,
        2.14775,
        2.12451,
        2.11665,
        2.11468,
        2.13097,
        2.17299,
        2.16333,
        2.12722,
        2.11725,
        2.11984,
        2.11119,
        2.10261,
        2.11793,
        2.12459,
        2.10011,
        2.09191,
        2.09878,
        2.09939,
        2.14248,
        2.13168,
        2.12028,
        2.16136,
        2.11363,
        2.12821,
        2.12649,
        2.09462,
        2.07829,
        2.07718,
        2.03829,
        2.00881,
        1.99952,
        2.06356,
        2.10622,
        2.08648,
        2.03805,
        2.14751,
        2.13511,
        2.12204,
        2.19991,
        2.09967,
        2.08934,
        2.13162,
        2.1189,
        2.10852,
        2.11614,
        2.13438,
        2.11953,
        2.12181,
        2.1319,
        2.14991,
        2.09537,
        2.08938,
        2.11802,
        2.12418,
        2.06912,
        2.07165,
        2.08708,
        2.12753,
        2.11385,
        2.103,
        2.07749,
        2.09805,
        2.10429,
        2.09387,
        2.11656,
        2.14086,
        2.11167,
        2.09686,
        2.11568,
        2.09767,
        2.11604,
        2.09111,
        2.107,
        2.09149,
        2.08174,
        2.08714,
        2.10916,
        2.09661,
        2.10584,
        2.1032,
        2.08745,
        2.11632,
        2.12076,
        2.11928,
        2.09859,
        2.09657,
        2.06601,
        2.09531,
        2.09715,
        2.09847,
        2.10303,
        2.11893,
        2.10295,
        2.08648,
        2.10955,
        2.081,
        2.10757,
        2.12092,
        2.12849,
        2.11721,
        2.12049,
        2.1306,
        2.13753,
        2.11002,
        2.13376,
        2.13254,
        2.13923,
        2.08879,
        2.1128,
        2.10875,
        2.08417,
        2.10464,
        2.12514,
        2.12479,
        2.11888,
        2.12178,
        2.12064,
        2.06528,
        2.09957,
        2.11846,
        2.11384,
        2.1124,
        2.0989,
        2.08943,
        2.10658,
        2.12757,
        2.1267,
        2.11489,
        2.12107,
        2.11996,
        2.09951,
        2.08163,
        2.07782,
        2.08214,
        2.10508,
        2.10129,
        2.12557,
        2.10613,
        2.0971,
        2.1215,
        2.11487,
        2.09975,
        2.09434,
        2.1005,
        2.08227,
        2.08133,
        2.10362,
        2.07636,
        2.07839,
        2.09154,
        2.10849,
        2.1312,
        2.11656,
        2.09494,
        2.08454,
        2.09214,
        2.07747,
        2.075,
        2.11347,
        2.08955,
        2.08617,
        2.09877,
        2.0978,
        2.12641,
        2.10664,
        2.10894,
        2.11982,
        2.10786,
        2.10878,
        2.0941,
        2.10005,
        2.10945,
        2.10938,
        2.10416,
        2.11156,
        2.10402,
        2.10751,
        2.091,
        2.08223,
        2.10574,
        2.13114,
        2.09829,
        2.0973,
        2.09357,
        2.10803,
        2.11724,
        2.09524,
        2.10538,
        2.10907,
        2.08814,
        2.12847,
        2.11318,
        2.11933,
        2.12834,
        2.09648,
        2.09143,
        2.0764,
        2.06728,
        2.08571,
        2.10392,
        2.10057,
        2.09667,
        2.09619,
        2.12519,
        2.1035,
        2.11226,
        2.09507,
        2.07841,
        2.09553,
        2.09167,
        2.09846,
        2.11576,
        2.10911,
        2.11185,
        2.12242,
        2.12423,
        2.1167,
        2.11513,
        2.11107,
        2.10067,
        2.10072,
        2.1116,
        2.10716,
        2.12055,
        2.12792,
        2.14948,
        2.14019,
        2.14328,
        2.1277,
        2.14008,
        2.13687,
        2.12984,
        2.12058,
        2.07929,
        2.10922,
        2.10543,
        2.10518,
        2.10271,
        2.09444,
        2.11875,
        2.12761,
        2.1031,
        2.11661,
        2.11703,
        2.08539,
        2.09071,
        2.06793,
        2.07081,
        2.05797,
        2.07364,
        2.09855,
        2.08745,
        2.09518,
        2.08602,
        2.104,
        2.084,
        2.09816,
        2.09018,
        2.07041,
        2.07091,
        2.0905,
        2.09943,
        2.08314,
        2.08642,
        2.11187,
        2.11254,
        2.07536,
        2.09582,
        2.09926,
        2.0592,
        2.07222,
        2.07017,
        2.06731,
        2.06649,
        2.09109,
        2.11405,
        2.07585,
        2.08001,
        2.0901,
        2.07579,
        2.10468,
        2.10461,
        2.08468,
        2.1068,
        2.08473,
        2.08851,
        2.08864,
        2.09551,
        2.10874,
        2.13815,
        2.09708,
        2.09706,
        2.09011,
        2.10107,
        2.0961,
        2.0972,
        2.0857,
        2.08726,
        2.10656,
        2.12974,
        2.11395,
        2.11581,
        2.10352,
        2.10363,
        2.10069,
        2.08085,
        2.10346,
        2.0901,
        2.10758,
        2.09124,
        2.09411,
        2.14432,
        2.12537,
        2.12934,
        2.07838,
        2.09181,
        2.10328,
        2.12358,
        2.11907,
        2.11228,
        2.09961,
        2.10857,
        2.11136,
        2.10357,
        2.0903,
        2.09693,
        2.0756,
        2.0838,
        2.07895,
        2.09252,
        2.0881,
        2.10845,
        2.08937,
        2.12259,
        2.12116,
        2.08895,
        2.12008,
        2.10763,
        2.12369,
        2.10585,
        2.09854,
        2.09852,
        2.11043,
        2.11543,
        2.12115,
        2.09778,
        2.08562,
        2.1055,
        2.11703,
        2.09909,
        2.11974,
        2.09767,
        2.09088,
        2.10652,
        2.13462,
        2.14481,
        2.1423,
        2.09722,
        2.10677,
        2.06824,
        2.09186,
        2.12506,
        2.14379,
        2.10645,
        2.09965,
        2.09853,
        2.11246,
        2.10943,
        2.12609,
        2.13251,
        2.11618,
        2.10264,
        2.07647,
        2.08834,
        2.10459,
        2.12702,
        2.13958,
        2.12237,
        2.13896,
        2.10894,
        2.09241,
        2.1019,
        2.11423,
        2.1042,
        2.12302,
        2.11665,
        2.14474,
        2.11459,
        2.11006,
        2.09608,
        2.12983,
        2.09209,
        2.09192,
        2.1118,
        2.07585,
        2.09261,
        2.1079,
        2.13687,
        2.10162,
        2.09907,
        2.09712,
        2.09119,
        2.09102,
        2.08065,
        2.13709,
        2.08808,
        2.12699,
        2.12088,
        2.13297,
        2.14784,
        2.17444,
        2.18159,
        2.10646,
        2.14289,
        2.14537,
        2.12908,
        2.09641,
        2.15584,
        2.09642,
        2.1426,
        2.12909,
        2.1285,
        2.10976,
        2.08883,
        2.11528,
        2.10716,
        2.13018,
        2.12632,
        2.13874,
        2.13256,
        2.12784,
        2.14001,
        2.10159,
        2.14305,
        2.13512,
        2.11242,
        2.10937,
        2.14254,
        2.10384,
        2.103,
        2.11819,
        2.1249,
        2.11456,
        2.10603,
        2.12809,
        2.14149,
        2.13819,
        2.11531,
        2.08586,
        2.10637,
        2.12907,
        2.10619,
        2.11021,
        2.12322,
        2.10371,
        2.12757,
        2.14454,
        2.15298,
        2.13239,
        2.15688,
        2.11224,
        2.11983,
        2.13628,
        2.09841,
        2.16041,
        2.1223,
        2.12457,
        2.09849,
        2.13024,
        2.14254,
        2.14121,
        2.15001,
        2.14002,
        2.12561,
        2.10534,
        2.11279,
        2.1093,
        2.12619,
        2.11734,
        2.15501,
        2.11404,
        2.09749,
        2.11483,
        2.08393,
        2.08783,
        2.12876,
        2.1785,
        2.13257,
        2.10933,
        2.16159,
        2.14102,
        2.14706,
        2.12318,
        2.10098,
        2.11479,
        2.12279,
        2.11212,
        2.11858,
        2.12232,
        2.15226,
        2.12825,
        2.11558,
        2.10937,
        2.14773,
        2.12226,
        2.12369,
        2.14354,
        2.1253,
        2.12538,
        2.12829,
        2.12085,
        2.12221,
        2.09943,
        2.11796,
        2.1307,
        2.16504,
        2.14696,
        2.16601,
        2.13022,
        2.12841,
        2.14546,
        2.11887,
        2.13351,
        2.11855,
        2.14262,
        2.15422,
        2.13845,
        2.1223,
        2.11773,
        2.0999,
        2.1134,
        2.10244,
        2.11956,
        2.10583,
        2.11103,
        2.11914,
        2.13246,
        2.14977,
        2.12394,
        2.12363,
        2.10126,
        2.11898,
        2.13922,
        2.1671,
        2.14004,
        2.16569,
        2.14484,
        2.11954,
        2.13467,
        2.13243,
        2.15808,
        2.14208,
        2.1411,
        2.14449,
        2.15736,
        2.16434,
        2.15503,
        2.14096,
        2.14313,
        2.12405,
        2.13194,
        2.11685,
        2.18047,
        2.13782,
        2.15201,
        2.16159,
        2.13736,
        2.12788,
        2.1136,
        2.15051,
        2.15667,
        2.14068,
        2.15295,
        2.14646,
        2.15461,
        2.1662,
        2.12006,
        2.11747,
        2.13269,
        2.16031,
        2.17719,
        2.18884,
        2.17562,
        2.15418,
        2.16579,
        2.1207,
        2.14015,
        2.16916,
        2.1785,
        2.15394,
        2.17954,
        2.18022,
        2.13696,
        2.14511,
        2.16941,
        2.15972,
        2.17565,
        2.18491,
        2.18442,
        2.17037,
        2.18603,
        2.19143,
        2.18458,
        2.19172,
        2.1993,
        2.20382,
        2.22487,
        2.22202,
        2.23806,
        2.21094,
        2.23969,
        2.21248,
        2.17853,
        2.24258,
        2.22044,
        2.22734,
        2.23543,
        2.20077,
        2.18355,
        2.18163,
        2.17599,
        2.2193,
        2.17606,
        2.19942,
        2.19202,
        2.1944,
        2.18597,
        2.203,
        2.16361,
        2.19427,
        2.18697,
        2.19946,
        2.21526,
        2.21889,
        2.17423,
        2.21721,
        2.19939,
        2.19556,
        2.18776,
        2.20798,
        2.17815,
        2.20787,
        2.20845,
        2.20833,
        2.17114,
        2.18604,
        2.194,
        2.21097,
        2.19923,
        2.20978,
        2.24397,
        2.20515,
        2.22105,
        2.21987,
        2.2192,
        2.22423,
        2.21689,
        2.20759,
        2.22344,
        2.19772,
        2.26,
        2.19876,
        2.21391,
        2.17559,
        2.19297,
        2.218,
        2.24505,
        2.2167,
        2.22016,
        2.20515,
        2.19608,
        2.21633,
        2.21597,
        2.19625,
        2.18438,
        2.20855,
        2.21801,
        2.20572,
        2.17745,
        2.20696,
        2.22759,
        2.20553,
        2.2288,
        2.23133,
        2.20182,
        2.21661,
        2.21944,
        2.20114,
        2.21356,
        2.23143,
        2.23293,
        2.22778,
        2.21946,
        2.23999,
        2.18883,
        2.21726,
        2.23754,
        2.23561,
        2.23886,
        2.2567,
        2.21782,
        2.19782,
        2.23528,
        2.16402,
        2.21018,
        2.14998,
        2.19317,
        2.18681,
        2.21914,
        2.19879,
        2.21317,
        2.16047,
        2.20687,
        2.21001,
        2.23763,
        2.23455,
        2.21869,
        2.20222,
        2.15608,
        2.17748,
        2.22281,
        2.18373,
        2.24136,
        2.19958,
        2.22777,
        2.17683,
        2.21805,
        2.19798,
        2.2441,
        2.17496,
        2.16434,
        2.17081,
        2.21772,
        2.19011,
        2.17979,
        2.17134,
        2.19146,
        2.23145,
        2.16241,
        2.20233,
        2.1294,
        2.03326,
        1.86984,
        2.12203,
        2.05005,
        2.07716,
        2.43237,
        2.49397,
        2.13569,
        2.2244,
        2.41728,
        2.21721,
        2.22968,
        2.32339,
        2.19362,
        2.06244,
        2.26596,
        2.36159,
        2.36822,
        2.36075,
        2.38429,
        2.32219,
        2.37677,
        2.50547,
        2.56109,
        2.61603,
        2.67085,
        2.64916,
        2.72273,
        2.66691,
        2.63126,
        2.55745,
        2.46176,
        2.4212,
        2.40923,
        2.34138,
        2.28067,
        2.24687,
        2.25079,
        2.21128,
        2.25141,
        2.15876,
        2.145,
        2.15628,
        2.12641,
        2.18264,
        2.20046,
        2.14005,
        2.12336,
        2.16048,
        2.12884,
        2.13761,
        2.13234,
        2.16581,
        2.18708,
        2.10633,
        2.13187,
        2.17443,
        2.14438,
        2.16753,
        2.16248,
        2.13341,
        2.16969,
        2.15559,
        2.14745,
        2.1117,
        2.11573,
        2.12036,
        2.17862,
        2.2003,
        2.14251,
        2.13763,
        2.15407,
        2.12325,
        2.13501,
        2.19262,
        2.14036,
        2.14688,
        2.16909,
        2.12515,
        2.12866,
        2.14073,
        2.18763,
        2.16763,
        2.15288,
        2.16723,
        2.11577,
        2.13468,
        2.15497,
        2.17248,
        2.17111,
        2.17179,
        2.15022,
        2.16367,
        2.12729,
        2.14537,
        2.17015,
        2.2377,
        2.15561,
        2.15129,
        2.13727,
        2.11912,
        2.08783,
        2.15759,
        2.1655,
        2.10547,
        2.07338,
        2.11501,
        2.10707,
        2.07719,
        2.12635,
        2.13917,
        2.1724,
        2.12199,
        2.12585,
        2.08555,
        2.14189,
        2.1406,
        2.14284,
        2.12961,
        2.14562,
        2.12014,
        2.09845,
        2.13311,
        2.09785,
        2.14584,
        2.12129,
        2.09613,
        2.0903,
        2.07904,
        2.12707,
        2.12613,
        2.15152,
        2.0942,
        2.11505,
        2.14318,
        2.08651,
        2.16997,
        2.13395,
        2.12037,
        2.15072,
        2.09707,
        2.11782,
        2.15096,
        2.09232,
        2.12363,
        2.09119,
        2.15476,
        2.04806,
        2.08436,
        2.16698,
        2.13232,
        2.00894,
        1.99609,
        2.12319,
        2.07229,
        2.09148,
        2.13136,
        2.05646,
        2.06302,
        2.10279,
        2.14778,
        2.12731,
        2.09793,
        2.12161,
        2.16063,
        2.03643,
        2.11562,
        null,
        2.12094,
        2.12938,
        2.08926,
        2.06141,
        2.0827,
        2.08857,
        2.09352,
        2.08441,
        2.05227,
        2.05787,
        2.09874,
        2.07373,
        2.0614,
        2.07227,
        2.09916,
        2.09335,
        2.08631,
        2.06106,
        2.05939,
        2.09406,
        2.07516,
        2.10523,
        2.14669,
        2.0642,
        2.06799,
        2.09995,
        2.03491,
        2.05892,
        2.20041,
        2.06869,
        2.08693,
        2.06217,
        2.14748,
        2.0911,
        2.08548,
        2.08635,
        2.06994,
        2.09471,
        2.12629,
        2.12113,
        2.09656,
        2.08008,
        2.08339,
        2.07612,
        2.07277,
        2.05216,
        2.05119,
        2.08477,
        2.0842,
        2.01307,
        2.04239,
        2.06675,
        2.06004,
        2.05126,
        2.06641,
        2.09281,
        2.10455,
        2.11178,
        2.08079,
        2.07594,
        2.10095,
        2.09159,
        2.1009,
        2.07809,
        2.08772,
        2.10769,
        2.08871,
        2.05578,
        2.10048,
        2.10053,
        2.05529,
        2.05206,
        2.06925,
        2.07528,
        2.05749,
        2.05584,
        2.08236,
        2.04567,
        2.0633,
        2.06461,
        2.00333,
        2.0093,
        2.03783,
        2.13179,
        2.0391,
        2.14644,
        1.95253,
        2.12911,
        2.0672,
        2.03915,
        2.07622,
        2.11071,
        2.10115,
        2.14771,
        2.17026,
        2.21493,
        2.2211,
        2.18623,
        2.16117,
        2.19159,
        2.21481,
        2.24737,
        2.27573,
        2.35772,
        2.43032,
        2.51399,
        2.61499,
        2.73346,
        2.80169,
        2.81146,
        2.76972,
        2.68551,
        2.56967,
        2.4694,
        2.38242,
        2.32484,
        2.28118,
        2.22752,
        2.20753,
        2.17885,
        2.14659,
        2.11798,
        2.09533,
        2.0982,
        2.09418,
        2.08573,
        2.06888,
        2.09197,
        2.10161,
        2.08949,
        2.11848,
        2.12008,
        2.10892,
        2.10178,
        2.08778,
        2.08481,
        2.09796,
        2.10367,
        2.10605,
        2.09984,
        2.09582,
        2.10538,
        2.0933,
        2.0972,
        2.08315,
        2.09166,
        2.09863,
        2.06712,
        2.06726,
        2.06487,
        2.08838,
        2.09029,
        2.06403,
        2.05409,
        2.06854,
        2.0652,
        2.04798,
        2.06862,
        2.08722,
        2.07482,
        2.06715,
        2.06073,
        2.04759,
        2.07089,
        2.06417,
        2.0498,
        2.04052,
        2.04222,
        2.06817,
        2.06579,
        2.05362,
        2.06634,
        2.05503,
        2.05514,
        2.08083,
        2.0773,
        2.06706,
        2.05197,
        2.05298,
        2.05821,
        2.06676,
        2.07144,
        2.08314,
        2.07163,
        2.07244,
        2.09267,
        2.08883,
        2.07706,
        2.07331,
        2.0736,
        2.08208,
        2.08329,
        2.08256,
        2.07353,
        2.09463,
        2.08742,
        2.07737,
        2.08236,
        2.07752,
        2.08039,
        2.08327,
        2.08671,
        2.08124,
        2.07774,
        2.06285,
        2.06774,
        2.06685,
        2.07287,
        2.07908,
        2.09311,
        2.08327,
        2.10744,
        2.08712,
        2.06894,
        2.06073,
        2.07568,
        2.05687,
        2.05788,
        1.92331,
        1.81171,
        2.04932,
        2.04113,
        2.05246,
        2.09804,
        2.09511,
        2.08133,
        2.08885,
        2.08645,
        2.07194,
        2.05015,
        2.05429,
        2.08433,
        2.09721,
        2.07528,
        2.05294,
        2.07649,
        2.09169,
        2.10543,
        2.11795,
        2.12237,
        2.13376,
        2.11247,
        2.1049,
        2.12332,
        2.09707,
        2.10091,
        2.09577,
        2.10135,
        2.10617,
        2.09905,
        2.07844,
        2.08217,
        2.09212,
        2.08177,
        2.08885,
        2.07192,
        2.06016,
        2.05747,
        2.0804,
        2.08772,
        2.08684,
        2.09532,
        2.07673,
        2.05932,
        2.0639,
        2.06689,
        2.07085,
        2.0605,
        2.07742,
        2.07579,
        2.08124,
        2.05287,
        2.05512,
        2.04356,
        2.04225,
        2.05193,
        2.06246,
        2.08474,
        2.05962,
        2.07444,
        2.09335,
        2.07486,
        2.05683,
        2.05888,
        2.0523,
        2.04948,
        2.08026,
        2.08778,
        2.06845,
        2.05092,
        2.06264,
        2.07264,
        2.07419,
        2.08175,
        2.06504,
        2.07584,
        2.07215,
        2.05155,
        2.04571,
        2.07279,
        2.06359,
        2.06118,
        2.06164,
        2.07607,
        2.06857,
        2.05323,
        2.07028,
        2.06574,
        2.06607,
        2.05305,
        2.06507,
        2.07801,
        2.07089,
        2.07875,
        2.06044,
        2.05758,
        2.05592,
        2.04648,
        2.04594,
        2.03978,
        2.0532,
        2.06087,
        2.0514,
        2.06271,
        2.0621,
        2.05542,
        2.05794,
        2.05829,
        2.05673,
        2.05256,
        2.07628,
        2.07503,
        2.06208,
        2.06004,
        2.06609,
        2.05966,
        2.04443,
        2.04377,
        2.05461,
        2.0551,
        2.07218,
        2.05494,
        2.04656,
        2.04089,
        2.06797,
        2.07121,
        2.04481,
        2.03682,
        2.04938,
        2.05945,
        2.06857,
        2.06991,
        2.03972,
        2.05216,
        2.0642,
        2.081,
        2.06178,
        2.05479,
        2.05879,
        2.04653,
        2.06131,
        2.06212,
        2.033,
        2.04847,
        2.07062,
        2.06615,
        2.06374,
        2.05958,
        2.03235,
        2.04087,
        2.06581,
        2.09199,
        2.08178,
        2.05887,
        2.06238,
        2.06068,
        2.07783,
        2.06654,
        2.06489,
        2.07507,
        2.0656,
        2.06558,
        2.05344,
        2.03257,
        2.02762,
        2.04186,
        2.04283,
        2.06176,
        2.0393,
        2.04528,
        2.03681,
        2.07004,
        2.07654,
        2.05535,
        2.06626,
        2.07336,
        2.0676,
        2.06082,
        2.07785,
        2.08079,
        2.05272,
        2.06205,
        2.05031,
        2.05732,
        2.05693,
        2.05602,
        2.0372,
        2.0444,
        2.07972,
        2.08764,
        2.05781,
        2.04103,
        2.05945,
        2.04702,
        2.04856,
        2.05652,
        2.05744,
        2.0636,
        2.0599,
        2.03138,
        2.05409,
        2.06539,
        2.04355,
        2.06913,
        2.09367,
        2.07778,
        2.05285,
        2.06805,
        2.04832,
        2.05112,
        2.06745,
        2.08369,
        2.06862,
        2.03126,
        2.0447,
        2.03126,
        2.04438,
        2.05695,
        2.03849,
        2.03011,
        2.06447,
        2.05405,
        2.05783,
        2.06976,
        2.06818,
        2.04008,
        2.01594,
        2.02778,
        2.04544,
        2.02841,
        2.0366,
        2.04892,
        2.02151,
        2.06042,
        2.03772,
        2.04519,
        2.05909,
        2.06308,
        2.05138,
        2.03264,
        2.04305,
        2.05941,
        2.08033,
        2.08071,
        2.05985,
        2.04557,
        2.05391,
        2.04189,
        2.04079,
        2.03375,
        2.01591,
        2.05008,
        2.06808,
        2.05175,
        2.04179,
        2.05408,
        2.06137,
        2.05485,
        2.06147,
        2.07765,
        2.06726,
        2.09154,
        2.08075,
        2.08018,
        2.06468,
        2.06024,
        2.07383,
        2.06218,
        2.04628,
        2.04693,
        2.08174,
        2.06469,
        2.04979,
        2.05759,
        2.04739,
        2.04044,
        2.05291,
        2.04462,
        1.9971,
        2.0465,
        2.02063,
        1.93677,
        1.7658,
        1.97622,
        2.17406,
        2.07652,
        2.07259,
        2.14939,
        2.10394,
        2.1365,
        2.171,
        2.17883,
        2.14938,
        2.17452,
        2.22221,
        2.18806,
        2.22107,
        2.2334,
        2.22026,
        2.26307,
        2.32622,
        2.38905,
        2.47438,
        2.57523,
        2.66606,
        2.76203,
        2.85963,
        2.88244,
        2.84481,
        2.77,
        2.67358,
        2.57065,
        2.45864,
        2.43108,
        2.36829,
        2.28235,
        2.22159,
        2.1798,
        2.1592,
        2.13677,
        2.11656,
        2.1109,
        2.08584,
        2.05025,
        2.06097,
        2.06419,
        2.05017,
        2.05839,
        2.06307,
        2.08245,
        2.08703,
        2.06245,
        2.0767,
        2.05654,
        2.07124,
        2.08231,
        2.07021,
        2.08658,
        2.06059,
        2.04182,
        2.05196,
        2.04809,
        2.06967,
        2.0528,
        2.07554,
        2.0631,
        2.06382,
        2.01556,
        2.04441,
        2.05815,
        2.07312,
        2.05956,
        2.03593,
        2.02275,
        2.02112,
        2.04837,
        2.03824,
        2.0357,
        2.07877,
        2.05543,
        2.03736,
        2.05725,
        2.06297,
        2.05947,
        2.06959,
        2.06552,
        2.08633,
        2.07626,
        2.07724,
        2.08816,
        2.08825,
        2.09551,
        2.06632,
        2.07004,
        2.10166,
        2.10909,
        2.11028,
        2.09816,
        2.10629,
        2.09512,
        2.07679,
        2.06613,
        2.09109,
        2.08296,
        2.08507,
        2.06561,
        2.07519,
        2.05724,
        2.05116,
        2.06747,
        2.10893,
        2.09877,
        2.0737,
        2.06075,
        2.04424,
        2.0484,
        2.06719,
        2.07731,
        2.05521,
        2.05462,
        2.0599,
        2.02568,
        2.03354,
        2.05378,
        2.06469,
        2.04304,
        2.09184,
        2.06625,
        2.0731,
        2.05163,
        2.06332,
        2.04668,
        2.05036,
        2.05408,
        2.03099,
        2.05063,
        2.06035,
        2.06156,
        2.06255,
        2.04929,
        2.03287,
        2.04981,
        2.04829,
        2.04599,
        2.06219,
        2.09407,
        2.06426,
        2.07825,
        2.05845,
        2.06054,
        2.06367,
        2.08937,
        2.08325,
        2.06561,
        2.0594,
        2.07327,
        2.06366,
        2.06311,
        2.06951,
        2.03996,
        2.0578,
        2.09868,
        2.10911,
        2.08499,
        2.07182,
        2.08756,
        2.10221,
        2.08382,
        2.06639,
        2.06847,
        2.0876,
        2.07783,
        2.0509,
        2.0333,
        2.05155,
        2.06112,
        2.05413,
        2.06962,
        2.072,
        2.08351,
        2.06279,
        2.04691,
        2.06023,
        2.03763,
        2.04533,
        2.07627,
        2.05825,
        2.08699,
        2.09556,
        2.05407,
        2.04656,
        2.05868,
        2.07587,
        2.05416,
        2.05339,
        2.06773,
        2.08278,
        2.07613,
        2.07964,
        2.09645,
        2.10682,
        2.0872,
        2.0729,
        2.07405,
        2.04528,
        2.0557,
        2.07848,
        2.05356,
        2.01991,
        2.00029,
        1.9528,
        2.00561,
        1.98266,
        1.99002,
        1.97064,
        1.96968,
        1.9765,
        1.93319,
        1.92817,
        1.96806,
        1.85912,
        1.90604,
        2.08835,
        1.95826,
        1.96456,
        1.99284,
        1.97831,
        2.02359,
        2.01295,
        2.04975,
        2.04785,
        1.99206,
        2.0233,
        2.03147,
        1.91401,
        1.94337,
        1.95752,
        1.95697,
        1.99735,
        1.96323,
        2.01959,
        2.0543,
        2.01576,
        2.04634,
        2.01225,
        2.03726,
        1.99741,
        1.98562,
        2.02354,
        1.99731,
        1.97806,
        1.99055,
        2.02077,
        2.04438,
        2.04823,
        2.06994,
        2.08578,
        2.02362,
        2.04142,
        2.04549,
        2.04328,
        2.06035,
        2.0343,
        2.07293,
        2.07662,
        2.07011,
        2.09395,
        2.06706,
        2.0801,
        2.0596,
        2.05173,
        2.04165,
        2.01137,
        2.02448,
        2.01145,
        2.00574,
        2.01334,
        1.98342,
        1.98386,
        2.00639,
        2.01193,
        2.06101,
        2.00981,
        1.99635,
        1.991,
        2.02922,
        2.07202,
        2.05911,
        2.01858,
        2.04114,
        2.05685,
        2.04738,
        2.06654,
        2.06995,
        2.05524,
        2.03276,
        2.04141,
        2.04709,
        2.07381,
        2.04856,
        2.05852,
        2.0422,
        2.0242,
        2.0488,
        2.04629,
        2.04685,
        2.04486,
        2.02222,
        2.01621,
        2.03674,
        2.02231,
        2.05633,
        2.05576,
        2.0146,
        2.04444,
        2.04417,
        2.02981,
        2.06727,
        2.04917,
        2.0801,
        2.07806,
        2.08531,
        2.06245,
        2.05784,
        2.08107,
        2.04653,
        2.0369,
        2.04249,
        2.04999,
        2.04988,
        2.03055,
        2.0483,
        2.04539,
        2.05258,
        2.04505,
        2.02946,
        2.03251,
        2.0222,
        2.0307,
        2.05769,
        2.05034,
        2.08573,
        2.05619,
        2.0523,
        2.06198,
        2.06148,
        2.05562,
        2.03531,
        2.03302,
        2.06597,
        2.02701,
        2.01269,
        2.03562,
        2.01664,
        1.99761,
        2.02979,
        2.05745,
        2.05369,
        2.02575,
        2.01867,
        1.99549,
        2.01459,
        2.05083,
        2.0465,
        2.07237,
        2.05711,
        2.06357,
        2.05792,
        2.0482,
        2.05736,
        2.04934,
        2.07244,
        2.04102,
        2.00019,
        2.02039,
        2.04095,
        2.02701,
        2.05714,
        2.04792,
        2.03037,
        2.02718,
        2.05488,
        2.0443,
        2.04594,
        2.04824,
        2.06181,
        2.04369,
        2.03694,
        2.03708,
        2.03462,
        2.02984,
        2.03975,
        2.06445,
        2.06563,
        2.06997,
        2.06385,
        2.05696,
        2.07782,
        2.06338,
        2.02749,
        2.03161,
        2.04877,
        2.05326,
        2.03983,
        2.03853,
        1.9872,
        1.95908,
        2.03103,
        2.05227,
        2.06307,
        2.07881,
        2.0634,
        2.07533,
        2.08452,
        2.04728,
        2.06305,
        2.05329,
        2.06323,
        2.05232,
        2.01214,
        2.00298,
        1.99994,
        2.0159,
        2.00955,
        2.00729,
        2.01163,
        2.00407,
        2.02168,
        2.04751,
        2.03365,
        2.07168,
        2.04066,
        1.97512,
        1.976,
        2.12055,
        2.07649,
        2.01913,
        2.14707,
        2.06981,
        2.10366,
        1.93747,
        2.00458,
        1.9604,
        1.85144,
        2.00441,
        2.17986,
        2.18971,
        2.12086,
        2.13647,
        2.21976,
        2.1338,
        2.10214,
        2.15017,
        2.17687,
        2.21309,
        2.26211,
        2.28158,
        2.3218,
        2.3156,
        2.31642,
        2.41429,
        2.51502,
        2.6226,
        2.77278,
        2.87267,
        2.9227,
        2.89342,
        2.83844,
        2.78378,
        2.69994,
        2.56166,
        2.48028,
        2.32721,
        2.26917,
        2.20804,
        2.22291,
        2.17427,
        2.14108,
        2.10833,
        2.1376,
        2.07752,
        2.07672,
        2.07755,
        2.0426,
        2.0699,
        2.06003,
        2.0809,
        2.06334,
        2.05852,
        2.05251,
        2.05326,
        2.02145,
        2.03512,
        2.0188,
        2.02983,
        2.0268,
        2.01466,
        1.98412,
        1.9839,
        2.0259,
        2.03561,
        2.05651,
        2.01558,
        2.00015,
        2.026,
        2.05608,
        2.05005,
        2.07024,
        2.04013,
        2.01913,
        2.05098,
        2.044,
        2.01119,
        1.9921,
        1.94716,
        1.97975,
        1.96189,
        1.98057,
        2.07076,
        2.06701,
        2.06619,
        2.09056,
        2.02217,
        1.98261,
        1.95917,
        1.96037,
        2.04648,
        2.06457,
        2.05581,
        2.05333,
        2.06506,
        2.03858,
        2.01543,
        2.0255,
        2.0437,
        2.02695,
        2.02781,
        2.02053,
        2.02314,
        2.04664,
        2.05649,
        2.06382,
        2.0376,
        2.05642,
        2.03495,
        2.07124,
        2.05974,
        2.04794,
        2.05676,
        2.04465,
        2.03789,
        2.05414,
        2.02312,
        2.0198,
        2.07571,
        2.04466,
        2.03951,
        2.07649,
        2.05123,
        2.05353,
        2.07033,
        2.05075,
        2.01119,
        2.05163,
        2.0335,
        2.04171,
        2.02677,
        2.01339,
        1.99907,
        1.96946,
        1.95621,
        2.02017,
        2.07878,
        2.06083,
        2.07772,
        2.07338,
        2.10396,
        2.09698,
        2.06909,
        2.07229,
        2.05405,
        2.04607,
        2.04324,
        2.03404,
        2.05726,
        2.06573,
        2.07023,
        2.0558,
        2.08181,
        2.049,
        2.05033,
        2.07661,
        2.06829,
        2.03155,
        2.05791,
        2.05972,
        2.06558,
        2.0312,
        2.0453,
        2.04828,
        2.03569,
        2.0549,
        2.03866,
        2.00547,
        1.96024,
        1.95461,
        2.02528,
        2.10313,
        2.11284,
        2.09401,
        2.0537,
        2.02382,
        1.99414,
        1.95997,
        2.06093,
        2.06485,
        2.05581,
        2.05105,
        2.06173,
        2.04724,
        2.08513,
        2.07298,
        2.01849,
        1.99716,
        1.96143,
        2.02702,
        2.06292,
        2.07042,
        2.0056,
        2.04142,
        2.05906,
        2.04205,
        2.06871,
        2.08334,
        2.05366,
        2.03121,
        2.04564,
        2.0541,
        2.08509,
        2.08783,
        2.0714,
        2.04883,
        2.01639,
        2.03305,
        2.00207,
        2.04912,
        2.07582,
        2.05964,
        2.04939,
        2.02862,
        2.04242,
        2.05667,
        2.06947,
        2.05674,
        2.08602,
        2.04315,
        2.0451,
        2.02451,
        2.04692,
        2.03474,
        2.05032,
        2.04922,
        2.02352,
        2.03437,
        2.06665,
        2.05502,
        2.06985,
        2.0836,
        2.05516,
        2.02926,
        2.05267,
        2.04597,
        2.0488,
        2.06782,
        2.04511,
        2.04435,
        2.03579,
        2.04476,
        2.02493,
        2.05754,
        2.04866,
        2.02271,
        2.03691,
        2.04958,
        2.06663,
        2.07965,
        2.06067,
        2.06592,
        2.04511,
        2.01708,
        1.99885,
        1.9891,
        2.03483,
        2.08859,
        2.08329,
        2.03412,
        2.02939,
        1.97769,
        1.9702,
        2.06222,
        2.10452,
        2.09557,
        2.06738,
        2.07657,
        2.05224,
        2.05169,
        2.0594,
        2.06332,
        2.08936,
        2.07664,
        2.07769,
        2.05922,
        2.05779,
        2.05142,
        2.02278,
        2.03347,
        2.05235,
        2.03047,
        2.02904,
        2.05814,
        2.05342,
        2.01153,
        1.99601,
        2.01673,
        2.04834,
        2.05823,
        2.08399,
        2.00802,
        2.05962,
        2.05968,
        2.0399,
        2.02981,
        2.01632,
        1.95504,
        2.01459,
        1.99418,
        1.96508,
        1.97317,
        2.0419,
        2.05792,
        2.04581,
        2.07254,
        2.01756,
        2.02683,
        2.0257,
        2.08217,
        2.08973,
        2.06959,
        2.05144,
        2.04832,
        2.05661,
        2.0903,
        2.06268,
        2.06465,
        2.01662,
        2.03914,
        2.11169,
        2.16808,
        2.05705,
        1.90194,
        2.0024,
        2.35491,
        2.07353,
        1.86825,
        2.26442,
        2.18354,
        2.19683,
        2.07398,
        2.07116,
        2.10226,
        2.07549,
        2.10107,
        2.14414,
        2.07896,
        2.11357,
        2.10631,
        2.09928,
        2.05144,
        2.10279,
        2.06854,
        2.06979,
        2.05654,
        2.03858,
        2.03983,
        2.05135,
        2.043,
        2.01788,
        2.06759,
        2.05551,
        2.0532,
        2.06754,
        2.05991,
        2.06398,
        2.03445,
        2.03381,
        1.9837,
        2.02164,
        2.0186,
        2.03931,
        2.08479,
        2.0566,
        2.01553,
        2.04336,
        2.08115,
        2.11219,
        2.10087,
        2.09151,
        2.05738,
        2.03882,
        2.04093,
        2.0571,
        2.04936,
        2.03859,
        2.0658,
        2.0458,
        2.01649,
        2.00086,
        2.0334,
        2.0731,
        2.0691,
        2.0652,
        2.01759,
        2.04994,
        2.08199,
        2.06884,
        2.05588,
        2.04613,
        2.04646,
        2.03884,
        1.97701,
        1.92659,
        1.97941,
        2.02536,
        2.01678,
        1.94593,
        2.00719,
        1.9481,
        2.0016,
        2.05841,
        2.00748,
        1.996,
        2.02515,
        2.001,
        1.98473,
        1.99599,
        2.00595,
        2.04155,
        2.0327,
        2.05477,
        2.0271,
        1.96762,
        1.9933,
        2.11521,
        2.12149,
        2.07521,
        2.05051,
        2.01373,
        2.05975,
        2.13248,
        2.17858,
        2.1638,
        2.17158,
        2.15768,
        2.13313,
        2.08969,
        2.08853,
        2.09134,
        2.0866,
        2.0784,
        2.09253,
        2.12312,
        2.1175,
        2.0722,
        2.0385,
        2.04959,
        2.03033,
        2.0517,
        2.04138,
        2.04936,
        2.06584,
        2.06027,
        2.01711,
        2.01128,
        2.06938,
        2.1088,
        2.07358,
        2.01175,
        2.05765,
        2.04962,
        2.02446,
        1.98695,
        2.01339,
        2.03387,
        2.05525,
        2.0679,
        1.98183,
        1.97948,
        1.93069,
        2.05149,
        1.9385,
        2.13367,
        2.24058,
        2.26569,
        2.27728,
        2.15224,
        2.12759,
        2.14523,
        2.09036,
        2.11452,
        2.26248,
        2.21277,
        2.23312,
        2.24474,
        2.26402,
        2.30736,
        2.35885,
        2.38651,
        2.44292,
        2.50644,
        2.5236,
        2.59974,
        2.80536,
        2.95826,
        3.02098,
        3.00649,
        2.96144,
        2.8357,
        2.72476,
        2.62886,
        2.53207,
        2.47673,
        2.38903,
        2.29972,
        2.24133,
        2.20529,
        2.17982,
        2.17826,
        2.10291,
        2.0779,
        2.03012,
        2.02072,
        2.00707,
        2.03407,
        2.12115,
        2.05553,
        2.11916,
        2.06493,
        2.08084,
        2.06246,
        2.03067,
        2.06303,
        2.08679,
        2.05682,
        2.07759,
        2.0569,
        2.02547,
        2.04398,
        2.08686,
        2.03739,
        2.04408,
        2.04284,
        2.0398,
        2.04631,
        2.05173,
        2.06549,
        2.02117,
        2.00273,
        1.95426,
        1.97615,
        2.0746,
        2.09284,
        2.0352,
        2.03082,
        1.83962,
        1.85859,
        1.976,
        2.00891,
        2.01712,
        2.04647,
        2.05511,
        2.0865,
        2.07314,
        2.03674,
        2.04275,
        2.07222,
        2.01724,
        2.01426,
        1.97564,
        2.00819,
        2.02726,
        2.05884,
        2.1028,
        2.12285,
        2.06942,
        2.02583,
        2.01476,
        2.04036,
        2.05231,
        2.06097,
        2.04308,
        2.05748,
        2.06164,
        2.07908,
        2.04655,
        2.01221,
        2.04645,
        2.03359,
        1.99652,
        1.96865,
        2.06063,
        1.99949,
        1.99961,
        2.05902,
        2.04577,
        2.05836,
        2.06138,
        2.02928,
        2.01532,
        2.00552,
        1.96016,
        2.02099,
        2.01295,
        2.03418,
        2.07858,
        2.03216,
        2.0392,
        2.03026,
        2.00931,
        2.0371,
        2.07925,
        2.09332,
        2.0512,
        2.01242,
        1.96914,
        2.01659,
        2.01057,
        2.05019,
        2.02395,
        2.00613,
        2.05731,
        2.05533,
        2.03957,
        2.02965,
        1.99997,
        1.94457,
        2.01137,
        2.03447,
        2.08488,
        2.05776,
        2.07732,
        2.07827,
        2.07231,
        2.06004,
        2.02561,
        2.02461,
        2.0121,
        1.99942,
        2.03173,
        2.05425,
        2.04809,
        2.0192,
        1.98085,
        1.92713,
        2.00517,
        2.08478,
        2.09568,
        2.08078,
        2.06866,
        2.1083,
        2.07519,
        2.08735,
        2.04061,
        2.03603,
        2.05834,
        2.05582,
        2.05991,
        2.00804,
        2.01774,
        2.01207,
        2.01915,
        2.04465,
        2.03812,
        2.0597,
        2.05278,
        2.04428,
        1.99679,
        2.01767,
        2.05482,
        2.05378,
        2.07495,
        2.07472,
        2.04049,
        2.00596,
        1.99191,
        2.00395,
        2.04111,
        2.06788,
        2.05813,
        2.06771,
        2.03397,
        2.02033,
        2.02083,
        2.00832,
        1.95902,
        1.97533,
        1.97968,
        1.95262,
        2.01496,
        2.01443,
        2.07508,
        1.98252,
        1.92703,
        1.85539,
        1.86696,
        1.97353,
        2.08716,
        2.14203,
        2.13344,
        2.05419,
        2.07277,
        2.05264,
        2.04322,
        2.0393,
        2.05531,
        2.07469,
        2.00974,
        2.01147,
        1.96965,
        1.97785,
        1.99515,
        2.06135,
        1.97541,
        2.03889,
        2.08077,
        2.09478,
        2.0561,
        2.03825,
        2.03417,
        2.05287,
        2.04603,
        2.08817,
        2.03833,
        2.0271,
        2.05844,
        2.07075,
        2.03579,
        2.0055,
        2.02541,
        1.98642,
        1.97644,
        1.96143,
        2.08984,
        2.13872,
        2.04707,
        2.05389,
        2.08313,
        2.03199,
        2.03656,
        2.05368,
        2.04688,
        2.03602,
        2.03368,
        2.06302,
        2.03271,
        2.0106,
        1.98654,
        2.0352,
        2.01262,
        2.05781,
        2.07453,
        2.00008,
        2.05493,
        2.05656,
        2.08416,
        2.03425,
        2.02882,
        1.99377,
        2.03514,
        2.07197,
        2.09766,
        2.06022,
        1.96598,
        2.00592,
        1.97823,
        1.99919,
        1.99748,
        2.1522,
        1.96974,
        1.99469,
        1.87429,
        1.82228,
        1.95235,
        1.82544,
        2.12629,
        2.16879,
        1.98446,
        2.0552,
        2.09154,
        2.04648,
        1.92969,
        1.96045,
        1.98967,
        2.01935,
        2.09289,
        2.06722,
        2.03177,
        2.03356,
        2.06048,
        2.01559,
        2.02184,
        2.04114,
        2.05056,
        2.01587,
        2.05471,
        1.98534,
        2.02626,
        2.03731,
        1.99595,
        2.03934,
        2.0408,
        2.03351,
        2.02438,
        2.0477,
        2.04187,
        2.02151,
        2.01392,
        1.97889,
        1.95724,
        2.00625,
        2.05192,
        2.03649,
        2.05117,
        2.03493,
        2.06391,
        2.03188,
        2.04776,
        2.06254,
        2.01692,
        2.03615,
        2.03924,
        2.02821,
        2.05152,
        2.07782,
        2.02038,
        2.07313,
        2.06592,
        2.04952,
        2.01672,
        2.01163,
        1.98809,
        1.97874,
        1.99935,
        2.03094,
        2.07592,
        2.07187,
        2.06145,
        2.05083,
        1.99272,
        1.98599,
        2.06041,
        2.09903,
        2.09418,
        2.04873,
        1.98168,
        2.0414,
        2.05004,
        2.06607,
        1.99815,
        2.18903,
        2.15906,
        2.16229,
        2.09294,
        2.06825,
        2.04269,
        2.00738,
        2.03324,
        2.04147,
        2.0288,
        2.03671,
        2.08288,
        2.07954,
        2.08778,
        2.07126,
        2.03577,
        2.05205,
        2.0333,
        1.99967,
        1.94294,
        1.9813,
        2.0687,
        2.12983,
        2.06184,
        2.06486,
        2.07594,
        2.02912,
        2.01175,
        1.99572,
        2.13004,
        2.03846,
        2.06632,
        2.01874,
        2.07242,
        2.07665,
        2.07065,
        1.97956,
        2.0084,
        2.05726,
        2.04255,
        2.03967,
        2.09321,
        2.07484,
        2.0146,
        2.01324,
        2.01495,
        2.03554,
        2.00387,
        2.00677,
        2.07846,
        2.01884,
        2.06048,
        2.01764,
        2.05172,
        2.01376,
        2.05341,
        2.00244,
        1.97385,
        2.03364,
        2.01667,
        2.04889,
        2.04599,
        2.02889,
        1.96785,
        2.02716,
        2.07566,
        2.00178,
        1.97937,
        2.03968,
        2.08212,
        2.09679,
        2.04864,
        2.08763,
        2.07676,
        1.96206,
        1.94225,
        1.99002,
        2.00876,
        2.08045,
        2.07785,
        2.0754,
        2.03878,
        2.06045,
        2.04773,
        2.08975,
        1.99228,
        2.00496,
        1.97968,
        2.05917,
        2.05564,
        2.04854,
        2.02893,
        2.04743,
        2.07163,
        2.08073,
        2.01862,
        1.99539,
        2.01195,
        2.05513,
        2.06406,
        2.0268,
        1.96741,
        2.0822,
        1.97677,
        1.94858,
        1.96355,
        2.07064,
        2.00017,
        1.98676,
        1.97951,
        1.89849,
        1.89433,
        1.6919,
        2.23889,
        2.35157,
        2.13906,
        1.94507,
        2.02376,
        2.16154,
        2.2497,
        2.16593,
        2.17285,
        2.17351,
        2.20972,
        2.27262,
        2.26895,
        2.28894,
        2.18635,
        2.23947,
        2.43624,
        2.53734,
        2.5459,
        2.60163,
        2.69167,
        2.87133,
        2.97047,
        3.08493,
        3.02593,
        2.94197,
        2.92131,
        2.79557,
        2.63957,
        2.61515,
        2.44449,
        2.42717,
        2.31948,
        2.31411,
        2.17372,
        2.13736,
        2.21229,
        2.16049,
        2.1394,
        2.07715,
        2.02893,
        2.11425,
        1.996,
        1.90921,
        2.04608,
        2.12136,
        2.09406,
        2.06245,
        2.10174,
        2.05539,
        2.03473,
        2.06336,
        2.0998,
        2.03462,
        2.05804,
        2.06163,
        2.07485,
        2.05666,
        2.06053,
        2.04209,
        2.05593,
        2.09243,
        2.07586,
        2.02962,
        2.10447,
        2.04487,
        2.02987,
        2.06521,
        2.07257,
        2.06558,
        2.11289,
        2.0781,
        2.01995,
        2.03125,
        2.00219,
        2.05762,
        2.01712,
        1.93284,
        2.02797,
        2.05016,
        2.07574,
        2.14131,
        2.10665,
        2.08806,
        2.05962,
        2.07761,
        2.07547,
        2.07534,
        1.97039,
        2.00894,
        2.01272,
        1.9653,
        2.08045,
        2.11368,
        2.11427,
        2.02983,
        null,
        2.09796,
        2.06095,
        2.06158,
        2.04197,
        2.06663,
        2.05083,
        2.02746,
        2.04774,
        2.05873,
        2.05302,
        2.02655,
        2.04002,
        2.04259,
        1.9823,
        2.00501,
        2.05555,
        2.07456,
        2.05564,
        2.06075,
        2.07199,
        2.04816,
        2.05091,
        2.03557,
        2.0375,
        2.06697,
        2.04329,
        2.03322,
        2.03633,
        2.03059,
        2.04095,
        2.04464,
        2.03297,
        2.03767,
        2.03946,
        1.99693,
        1.93854,
        1.99486,
        2.06464,
        2.07351,
        2.06085,
        2.05399,
        2.02817,
        2.05545,
        2.05116,
        2.02839,
        2.00792,
        1.99755,
        2.01538,
        2.07446,
        2.06645,
        2.06324,
        2.05548,
        2.02246,
        2.02939,
        2.05466,
        2.03881,
        2.00215,
        2.01592,
        2.0047,
        2.04541,
        2.05299,
        2.03956,
        2.04961,
        2.046,
        2.02809,
        1.99243,
        1.95399,
        1.96516,
        2.01874,
        2.00953,
        2.01264,
        2.00315,
        2.01379,
        2.02689,
        2.02697,
        2.04735,
        2.06933,
        2.09005,
        2.02549,
        2.00691,
        2.05823,
        2.01379,
        2.02933,
        2.06032,
        2.05949,
        2.07052,
        2.0785,
        2.03995,
        2.04682,
        2.02322,
        2.03306,
        2.0378,
        1.97163,
        2.02644,
        2.00061,
        1.98176,
        2.02875,
        2.02643,
        1.9754,
        2.01463,
        2.06994,
        2.07014,
        2.04199,
        2.03997,
        2.02373,
        2.01034,
        2.00813,
        1.97399,
        1.9884,
        1.9953,
        2.00531,
        2.04294,
        2.06298,
        2.03013,
        2.03101,
        2.0515,
        2.03172,
        2.03973,
        2.0688,
        2.06055,
        2.03,
        2.08256,
        2.09041,
        2.09712,
        2.0643,
        2.05575,
        2.07382,
        2.09611,
        2.0696,
        2.04578,
        2.05756,
        2.02464,
        1.97993,
        2.00489,
        2.02801,
        2.04786,
        2.02145,
        2.04038,
        2.04535,
        2.05764,
        2.01883,
        2.02592,
        2.08019,
        2.05887,
        2.04016,
        2.06905,
        1.91159,
        2.00306,
        2.03309,
        1.97521,
        1.99507,
        2.07285,
        2.10054,
        2.09383,
        2.14858,
        2.13539,
        2.2364,
        2.0696,
        1.99429,
        2.10797,
        2.14032,
        2.17707,
        2.21664,
        2.23822,
        2.20373,
        2.25564,
        2.25194,
        2.25617,
        2.28518,
        2.29114,
        2.33926,
        2.38866,
        2.46727,
        2.57202,
        2.6047,
        2.7544,
        2.85631,
        2.91362,
        2.98222,
        2.97913,
        2.91034,
        2.79285,
        2.60279,
        2.51478,
        2.44549,
        2.38217,
        2.31435,
        2.24597,
        2.2099,
        2.18058,
        2.14824,
        2.14172,
        2.11208,
        2.07944,
        2.09963,
        2.1225,
        2.13037,
        2.084,
        2.10274,
        2.09157,
        2.05505,
        2.11152,
        2.08628,
        2.03317,
        2.08094,
        2.11254,
        2.07903,
        2.11291,
        2.08998,
        2.16425,
        2.03666,
        2.08568,
        2.3719,
        2.16319,
        2.08764,
        2.04132,
        2.1019,
        2.01242,
        1.88371,
        1.96992,
        2.12082,
        2.08621,
        2.0233,
        2.01063,
        2.02716,
        2.04884,
        2.0772,
        2.05569,
        2.02997,
        1.97886,
        1.96776,
        2.06837,
        2.04232,
        2.07585,
        2.13549,
        2.06379,
        2.04495,
        2.03566,
        2.03258,
        2.04827,
        2.1101,
        2.05336,
        2.02061,
        2.01669,
        2.01496,
        1.98567,
        2.04959,
        2.06769,
        2.07124,
        2.08714,
        2.05254,
        2.08297,
        2.07102,
        2.03582,
        2.01972,
        2.04441,
        2.069,
        2.0235,
        2.02129,
        2.08585,
        2.13158,
        2.10166,
        1.99182,
        1.99217,
        1.82699,
        1.90406,
        2.09324,
        2.14209,
        2.03535,
        2.07477,
        2.13739,
        2.17351,
        2.15901,
        2.1155,
        2.07273,
        2.06137,
        2.08494,
        2.06919,
        2.08271,
        2.06211,
        2.05531,
        2.04381,
        2.05632,
        2.05983,
        2.06576,
        2.0893,
        2.0807,
        2.07251,
        2.08195,
        2.09602,
        2.07697,
        2.08265,
        2.06452,
        2.07726,
        2.0589,
        2.05269,
        2.07547,
        2.06303,
        2.05618,
        2.06425,
        2.04458,
        2.02468,
        2.03127,
        2.06999,
        2.04324,
        2.02801,
        2.05303,
        2.05646,
        2.05947,
        2.04712,
        2.02713,
        2.05529,
        2.03373,
        2.03293,
        2.0476,
        2.04241,
        2.04454,
        2.04294,
        2.03918,
        2.05099,
        2.05489,
        2.08226,
        2.07431,
        2.03506,
        2.02537,
        2.02335,
        2.00935,
        2.01833,
        2.00087,
        2.01096,
        2.03722,
        2.03379,
        2.05984,
        2.06014,
        2.06741,
        2.09802,
        2.11027,
        2.08229,
        2.10289,
        2.13345,
        2.15706,
        2.15639,
        2.11614,
        2.1012,
        2.08293,
        2.06807,
        2.06237,
        2.04681,
        2.03937,
        2.0451,
        2.04417,
        2.03622,
        2.032,
        2.04555,
        2.06585,
        2.042,
        2.04072,
        2.05743,
        2.06519,
        2.05498,
        2.05235,
        2.05582,
        2.06325,
        2.05063,
        2.0415,
        2.05515,
        2.05507,
        2.04435,
        2.06125,
        2.06779,
        2.05362,
        2.0455,
        2.05465,
        2.03473,
        2.02716,
        2.04724,
        2.01687,
        2.02152,
        1.98364,
        1.99593,
        2.01993,
        2.0445,
        2.00902,
        2.03696,
        2.07054,
        2.0705,
        2.05782,
        2.03082,
        2.03177,
        2.02418,
        2.01909,
        2.06649,
        2.06084,
        2.02621,
        2.00076,
        2.04922,
        2.05396,
        2.05945,
        2.07905,
        2.06975,
        2.07878,
        2.08699,
        2.05064,
        2.07016,
        2.06428,
        2.0513,
        2.05982,
        2.07644,
        2.06613,
        2.03811,
        2.046,
        2.04659,
        2.02802,
        2.02942,
        2.02116,
        2.03897,
        2.03858,
        2.03427,
        2.06305,
        2.05898,
        2.04099,
        2.02707,
        2.06476,
        2.08506,
        2.08006,
        2.07475,
        2.06743,
        2.02593,
        2.04446,
        2.05175,
        2.06136,
        2.05926,
        2.06926,
        2.08226,
        2.08033,
        2.05043,
        2.05455,
        2.03442,
        2.0447,
        2.05513,
        2.057,
        2.09003,
        2.08873,
        2.05388,
        2.05888,
        2.09209,
        2.0703,
        2.05636,
        2.08253,
        2.07102,
        2.08465,
        2.08467,
        2.06246,
        2.05039,
        2.05002,
        2.05473,
        2.06015,
        2.05302,
        2.03804,
        2.03742,
        2.08935,
        2.07348,
        2.0623,
        2.10033,
        2.066,
        2.07609,
        2.07504,
        2.03479,
        2.05119,
        2.04689,
        2.05801,
        2.02665,
        2.03891,
        2.05654,
        2.04763,
        2.03167,
        2.05647,
        2.06284,
        2.05605,
        2.06268,
        2.064,
        2.03629,
        2.02607,
        2.04579,
        2.05187,
        2.05048,
        2.0525,
        2.03718,
        2.0309,
        2.03869,
        2.03033,
        2.01903,
        2.03234,
        2.01578,
        2.02954,
        2.03378,
        2.05876,
        2.06451,
        2.06208,
        2.03626,
        2.02083,
        2.02514,
        2.03043,
        2.04916,
        2.06119,
        2.02066,
        2.02467,
        2.03856,
        2.03421,
        2.03902,
        2.06467,
        2.03869,
        2.0118,
        2.03559,
        2.04221,
        2.05701,
        2.04125,
        2.04468,
        2.0567,
        2.05388,
        2.07528,
        2.05994,
        2.06258,
        2.06581,
        2.03919,
        2.05602,
        2.05792,
        2.07833,
        2.05759,
        2.06323,
        2.06225,
        2.07444,
        2.06771,
        2.06234,
        2.0516,
        2.0463,
        2.07077,
        2.06119,
        2.06864,
        2.078,
        2.05895,
        2.04951,
        2.06321,
        2.06299,
        2.04459,
        2.04464,
        2.0197,
        2.03226,
        2.02191,
        2.02826,
        1.99863,
        1.99743,
        1.97914,
        2.02799,
        2.01596,
        2.01357,
        2.03327,
        2.01427,
        2.00525,
        2.05897,
        2.0127,
        2.04308,
        2.035,
        2.01045,
        1.99192,
        2.01775,
        1.98591,
        2.02243,
        2.01403,
        2.02912,
        2.03197,
        2.02612,
        2.00276,
        1.9876,
        1.94839,
        1.90483,
        1.95887,
        2.01982,
        2.02632,
        2.12579,
        2.18121,
        2.12349,
        2.16231,
        2.18318,
        2.16013,
        2.22775,
        2.21048,
        2.2263,
        2.28819,
        2.28268,
        2.27574,
        2.29903,
        2.31835,
        2.33891,
        2.39748,
        2.49118,
        2.57426,
        2.74958,
        2.83885,
        2.94168,
        3.00344,
        3.04843,
        3.023,
        2.95733,
        2.80962,
        2.67622,
        2.57399,
        2.48586,
        2.38626,
        2.33699,
        2.26488,
        2.22131,
        2.18858,
        2.16675,
        2.13592,
        2.09703,
        2.0878,
        2.08775,
        2.0962,
        2.06705,
        2.06496,
        2.0636,
        2.09375,
        2.07248,
        2.0636,
        2.06779,
        2.08618,
        2.07519,
        2.08186,
        2.05305,
        2.03449,
        2.06021,
        2.08388,
        2.07581,
        2.04753,
        2.07283,
        2.08126,
        2.07047,
        2.03059,
        2.01083,
        2.03896,
        2.05246,
        2.04949,
        2.03,
        2.06047,
        2.06463,
        2.0443,
        2.04576,
        2.07114,
        2.03425,
        2.02603,
        2.02422,
        2.05602,
        2.04338,
        2.05012,
        2.05927,
        2.05258,
        2.04618,
        2.02007,
        2.01074,
        1.99685,
        1.99668,
        2.03174,
        2.02222,
        2.06982,
        2.09451,
        2.04032,
        2.04822,
        2.03228,
        2.03535,
        2.04536,
        2.04925,
        2.05198,
        2.05564,
        2.05077,
        2.04045,
        2.04841,
        2.04976,
        2.03389,
        2.02846,
        2.02831,
        2.04265,
        2.01876,
        2.00516,
        2.01185,
        2.02349,
        1.99122,
        2.00692,
        2.00644,
        2.01464,
        2.07053,
        2.05927,
        2.02909,
        2.04844,
        2.03716,
        2.0219,
        2.01218,
        2.0403,
        2.03834,
        2.04534,
        2.05314,
        2.02715,
        2.02505,
        2.05005,
        2.02333,
        2.02808,
        2.06165,
        2.03122,
        2.00567,
        2.02466,
        2.04256,
        2.04765,
        2.00004,
        2.00337,
        1.9801,
        2.00069,
        2.05826,
        2.01485,
        2.0058,
        1.9956,
        2.00686,
        1.9713,
        2.01655,
        2.07052,
        2.08612,
        2.13373,
        2.11362,
        2.10242,
        2.01643,
        2.0193,
        2.02802,
        2.0531,
        2.05998,
        2.03686,
        2.00822,
        2.0709,
        2.03671,
        2.01305,
        1.98871,
        2.01912,
        1.99094,
        2.02136,
        2.05052,
        2.02167,
        2.01229,
        2.01755,
        2.03865,
        2.0153,
        2.01344,
        2.01272,
        1.9756,
        1.98376,
        2.02121,
        2.02517,
        1.9976,
        1.96057,
        1.98151,
        2.0512,
        2.02998,
        2.04718,
        2.05152,
        2.08641,
        2.0709,
        2.00056,
        1.95153,
        1.9584,
        2.00301,
        2.07553,
        2.04826,
        2.02818,
        2.02406,
        2.05507,
        2.03266,
        1.99353,
        1.97492,
        2.01322,
        2.03149,
        2.04375,
        2.03446,
        2.03141,
        2.03693,
        2.05201,
        2.07853,
        2.05367,
        2.0232,
        2.00513,
        2.02681,
        2.02194,
        2.03731,
        2.05573,
        2.04825,
        2.05923,
        2.07433,
        2.05698,
        2.04363,
        2.02798,
        2.02962,
        2.01853,
        2.01927,
        2.00566,
        2.02128,
        2.0255,
        2.0532,
        2.03216,
        2.03268,
        2.03701,
        2.03956,
        1.99602,
        2.01216,
        1.9971,
        2.01167,
        2.01262,
        2.00474,
        2.01977,
        2.02848,
        2.04318,
        2.0503,
        2.05824,
        2.02433,
        2.01225,
        1.99453,
        2.01395,
        2.07484,
        2.06757,
        2.04011,
        2.04299,
        2.04852,
        2.03544,
        2.03861,
        2.04186,
        1.98489,
        1.97719,
        2.00696,
        2.02312,
        2.03288,
        2.02687,
        2.03927,
        2.04282,
        2.03543,
        2.0337,
        2.04743,
        2.04963,
        2.01628,
        2.01788,
        1.95574,
        1.99771,
        2.00817,
        2.01858,
        2.04633,
        1.98072,
        1.97318,
        1.95298,
        1.93294,
        2.00025,
        2.01908,
        2.02349,
        2.03931,
        2.0418,
        2.02319,
        2.01541,
        2.00191,
        2.01472,
        1.99451,
        2.03271,
        2.04771,
        2.07812,
        2.07025,
        2.06567,
        2.03543,
        2.02087,
        2.03179,
        2.00032,
        2.04046,
        2.06106,
        2.02905,
        2.02409,
        1.99622,
        2.02021,
        2.053,
        2.03438,
        2.04942,
        2.06648,
        2.04707,
        2.05358,
        2.06528,
        2.02119,
        1.99606,
        1.95116,
        1.97213,
        2.03702,
        2.02306,
        2.01262,
        2.01099,
        1.99794,
        1.98943,
        1.96346,
        1.99834,
        2.00575,
        1.97647,
        1.96373,
        1.93778,
        1.987,
        2.07958,
        2.04652,
        2.0255,
        2.04359,
        2.05755,
        2.02223,
        2.0215,
        2.04187,
        2.05206,
        2.06464,
        2.05455,
        1.99616,
        1.97703,
        1.96208,
        2.01211,
        2.01531,
        2.05862,
        2.04788,
        2.04345,
        2.03312,
        2.04029,
        2.05313,
        2.05359,
        2.06088,
        2.0279,
        2.0521,
        2.04098,
        2.02332,
        2.02382,
        1.97025,
        1.95288,
        1.96413,
        1.99152,
        1.97351,
        1.98339,
        1.98424,
        1.98326,
        1.99448,
        2.01996,
        2.03506,
        2.04849,
        2.03145,
        2.03578,
        2.02573,
        2.02092,
        1.99713,
        1.99984,
        1.98039,
        1.95485,
        2.00817,
        2.06412,
        1.99492,
        1.97383,
        2.00141,
        2.02264,
        2.0482,
        2.02241,
        2.01361,
        2.02101,
        2.03766,
        2.05394,
        2.05086,
        2.07271,
        2.04715,
        1.9855,
        1.99042,
        2.00246,
        1.98616,
        2.03193,
        1.98721,
        1.99467,
        2.00847,
        2.00719,
        2.0201,
        2.03526,
        2.02696,
        2.02746,
        2.00421,
        2.01673,
        2.03262,
        1.96629,
        1.97586,
        1.99491,
        2.01699,
        2.02987,
        2.01624,
        2.03579,
        2.01723,
        2.01876,
        1.97965,
        1.98891,
        2.01745,
        2.00948,
        2.03069,
        2.00689,
        2.01076,
        1.99077,
        2.01361,
        2.03269,
        2.01988,
        2.05367,
        2.04943,
        2.03301,
        2.02334,
        2.03656,
        2.00818,
        2.01371,
        2.03835,
        1.98691,
        1.99524,
        1.96694,
        1.97175,
        1.95388,
        1.96876,
        1.98524,
        2.01596,
        2.04467,
        2.09727,
        2.01134,
        2.0174,
        2.0355,
        2.03637,
        2.00052,
        1.95767,
        1.97658,
        1.90964,
        1.93672,
        1.91329,
        2.06421,
        2.06036,
        2.02993,
        2.1208,
        2.03931,
        1.98407,
        2.06939,
        1.85827,
        1.8571,
        1.97335,
        1.92462,
        1.83623,
        1.96,
        2.12974,
        2.16443,
        2.1171,
        2.06037,
        2.08052,
        2.17209,
        2.16396,
        2.19689,
        2.19884,
        2.2603,
        2.25026,
        2.26859,
        2.2748,
        2.28708,
        2.32191,
        2.39306,
        2.4039,
        2.47738,
        2.57508,
        2.65021,
        2.69331,
        2.76854,
        2.91182,
        3.03226,
        3.03146,
        2.90308,
        2.73619,
        2.55072,
        2.44157,
        2.39414,
        2.38681,
        2.32588,
        2.29843,
        2.23178,
        2.16155,
        2.16005,
        2.11848,
        2.08139,
        2.06944,
        2.06509,
        2.01763,
        2.05349,
        2.07812,
        2.00692,
        2.04841,
        2.01014,
        2.05789,
        2.04823,
        2.04097,
        2.04757,
        1.97011,
        1.99224,
        2.03165,
        2.07462,
        2.05699,
        2.03933,
        2.02164,
        2.03856,
        2.00512,
        2.00893,
        2.03853,
        2.00706,
        2.02961,
        2.04221,
        2.04419,
        2.06824,
        2.06534,
        2.05179,
        2.00524,
        1.99772,
        2.02792,
        2.05489,
        2.01757,
        2.00296,
        2.02744,
        2.05666,
        2.02125,
        2.0493,
        2.05174,
        2.05071,
        2.06575,
        2.08956,
        2.09553,
        2.10348,
        2.09627,
        2.10908,
        2.11967,
        2.08519,
        2.06047,
        2.03698,
        2.03458,
        2.03848,
        2.01753,
        2.03523,
        2.03802,
        2.03476,
        2.04598,
        2.04621,
        1.99625,
        1.9616,
        1.95104,
        2.01532,
        2.02207,
        2.0019,
        2.04153,
        2.04862,
        2.01039,
        1.97104,
        2.0583,
        2.05172,
        2.08372,
        2.03286,
        2.03003,
        2.07717,
        1.95983,
        2.01337,
        2.08747,
        2.1237,
        1.92012,
        2.12369,
        1.96438,
        2.02358,
        1.91263,
        2.07157,
        2.18713,
        2.06137,
        2.20477,
        2.10362,
        2.05369,
        2.01196,
        2.06808,
        2.0123,
        2.02064,
        2.04049,
        2.11208,
        2.08418,
        2.02551,
        2.07255,
        2.04648,
        2.04192,
        2.02326,
        2.02274,
        2.05556,
        2.02964,
        2.02056,
        2.0459,
        2.05949,
        2.04376,
        2.0357,
        2.05799,
        2.026,
        2.03246,
        2.05065,
        2.05136,
        2.04464,
        2.03074,
        1.98644,
        1.96054,
        2.02331,
        2.0511,
        2.04259,
        2.0493,
        2.03349,
        2.02738,
        1.97438,
        2.00278,
        2.00643,
        2.03883,
        2.04054,
        2.04818,
        2.04088,
        2.04319,
        2.0114,
        2.02488,
        2.04316,
        2.08535,
        2.075,
        2.07004,
        2.07596,
        2.07784,
        2.0129,
        2.0563,
        2.05508,
        2.02054,
        2.04364,
        1.98383,
        2.04622,
        2.07678,
        2.03368,
        2.00817,
        2.01969,
        2.06824,
        2.02477,
        2.05439,
        2.06932,
        2.03674,
        2.06936,
        2.07086,
        2.04083,
        2.02542,
        2.05064,
        2.04631,
        2.03147,
        2.04221,
        2.06362,
        2.05733,
        2.05447,
        2.0528,
        2.04806,
        2.05393,
        2.06347,
        2.00751,
        2.01484,
        1.96087,
        1.98274,
        1.92241,
        1.94112,
        1.89466,
        1.96456,
        2.03356,
        2.09436,
        2.0816,
        2.05534,
        2.05246,
        2.0508,
        2.01383,
        2.03201,
        2.01982,
        2.03807,
        2.0636,
        2.07162,
        2.0584,
        2.03571,
        2.04738,
        2.04793,
        2.0133,
        2.0382,
        2.02892,
        1.99194,
        1.95405,
        1.92323,
        1.98414,
        1.98544,
        2.0182,
        2.04251,
        2.05212,
        2.07484,
        2.0661,
        2.0258,
        2.04029,
        2.01694,
        2.04721,
        2.03704,
        2.03416,
        2.05675,
        2.04513,
        2.08703,
        2.07162,
        2.04766,
        2.03646,
        2.00137,
        2.01666,
        2.0143,
        2.03791,
        2.03703,
        2.03517,
        2.01884,
        2.00843,
        2.04951,
        2.08523,
        2.03107,
        1.98712,
        2.00533,
        2.02657,
        2.06015,
        2.059,
        2.05675,
        2.05579,
        2.07426,
        2.0906,
        2.10442,
        2.07904,
        2.08053,
        2.05673,
        2.02855,
        2.02045,
        2.00074,
        2.00408,
        2.01092,
        2.06461,
        2.05401,
        2.08549,
        2.04857,
        2.05471,
        2.03331,
        2.05657,
        2.03885,
        2.04185,
        2.0381,
        2.03052,
        2.02998,
        2.02905,
        2.00539,
        1.96593,
        2.02236,
        2.02113,
        2.0421,
        2.01213,
        2.04713,
        2.06262,
        2.05379,
        2.03853,
        2.0059,
        1.98654,
        1.99959,
        1.9955,
        2.05402,
        2.06825,
        2.08099,
        2.04054,
        2.03212,
        2.00708,
        2.01384,
        2.04308,
        2.04331,
        2.05157,
        2.04069,
        2.0288,
        2.07206,
        2.07244,
        2.04939,
        2.03499,
        2.03616,
        1.99581,
        1.97241,
        2.00205,
        2.03815,
        2.0717,
        2.06785,
        2.04323,
        2.03642,
        2.03086,
        2.0221,
        2.02802,
        2.03903,
        2.01727,
        1.97601,
        2.0418,
        2.01379,
        2.01622,
        1.98534,
        1.96499,
        1.94785,
        1.99779,
        1.99163,
        2.01278,
        2.03157,
        2.06035,
        2.0472,
        2.04772,
        2.0512,
        2.03195,
        2.02824,
        2.02142,
        2.02205,
        2.0221,
        1.99455,
        2.03178,
        2.00443,
        2.03214,
        2.05481,
        2.04251,
        2.03772,
        2.01186,
        2.01175,
        2.02447,
        1.98982,
        1.95851,
        1.9787,
        1.97371,
        2.01508,
        2.05988,
        2.06772,
        2.05246,
        2.03275,
        2.04484,
        2.0238,
        2.01525,
        2.03585,
        2.03813,
        2.03134,
        2.05305,
        2.0891,
        2.07135,
        2.05149,
        2.0104,
        2.02291,
        2.04025,
        2.08995,
        2.0558,
        2.06443,
        2.01761,
        1.971,
        2.02546,
        2.04841,
        2.02936,
        2.04399,
        2.06549,
        2.0598,
        2.083,
        2.03347,
        2.03662,
        2.06716,
        1.98937,
        2.02025,
        2.01128,
        2.04146,
        2.02611,
        2.05345,
        2.07371,
        2.04769,
        2.04299,
        2.05302,
        2.0314,
        2.03146,
        2.02389,
        2.0206,
        2.06299,
        2.07035,
        2.04313,
        2.09346,
        2.04438,
        2.04452,
        2.04724,
        2.03461,
        1.97887,
        1.99678,
        1.95086,
        1.91586,
        1.94167,
        2.05339,
        2.04133,
        2.07382,
        2.01209,
        2.02913,
        2.0469,
        2.02435,
        1.99186,
        2.01605,
        2.06873,
        2.04822,
        2.02611,
        2.01771,
        2.03484,
        2.03551,
        2.02764,
        2.02596,
        2.03166,
        2.02745,
        2.03757,
        2.04062,
        2.02297,
        2.04815,
        2.02409,
        2.00836,
        2.05135,
        2.01715,
        2.01466,
        2.06617,
        2.01248,
        1.96731,
        2.0605,
        2.04739,
        2.10323,
        2.06789,
        2.01329,
        2.02577,
        2.03243,
        2.01227,
        2.00283,
        1.98361,
        1.94561,
        2.01543,
        2.06772,
        2.03177,
        2.12429,
        2.11965,
        1.76793,
        2.23298,
        2.44223,
        2.29605,
        2.18561,
        2.16469,
        2.11189,
        2.13334,
        2.13983,
        2.19767,
        2.22412,
        2.19075,
        2.20971,
        2.27015,
        2.23586,
        2.33583,
        2.35704,
        2.42134,
        2.50941,
        2.53065,
        2.55376,
        2.65364,
        2.71825,
        2.85909,
        2.92082,
        3.02044,
        3.0631,
        3.02598,
        2.92521,
        2.84673,
        2.68832,
        2.54449,
        2.49422,
        2.45942,
        2.35074,
        2.25951,
        2.19245,
        2.23271,
        2.21218,
        2.13711,
        2.11209,
        2.07289,
        2.0467,
        2.03681,
        1.94474,
        1.97068,
        2.08014,
        2.04452,
        2.07896,
        2.02629,
        2.01235,
        2.0459,
        2.00764,
        1.98321,
        1.98951,
        2.02311,
        2.02851,
        2.00085,
        1.98145,
        2.00178,
        1.98709,
        1.98629,
        2.01649,
        2.02106,
        1.99912,
        2.04762,
        2.03112,
        2.03221,
        2.01365,
        2.02254,
        1.99751,
        2.02611,
        2.01582,
        2.04669,
        2.00149,
        1.99771,
        1.99515,
        2.01668,
        2.02403,
        2.02135,
        2.03577,
        2.04262,
        2.02193,
        2.02486,
        2.01496,
        1.94461,
        1.96288,
        2.01342,
        2.02775,
        2.06419,
        2.02598,
        2.01531,
        1.99959,
        2.03839,
        1.98665,
        1.95642,
        1.91839,
        2.0215,
        1.9614,
        2.05372,
        2.06748,
        2.02337,
        2.01374,
        2.04304,
        2.06329,
        2.02552,
        2.04007,
        2.02487,
        2.00213,
        2.02211,
        2.02078,
        2.01891,
        2.01507,
        2.00413,
        1.98707,
        2.01672,
        2.01391,
        2.05752,
        1.98443,
        2.00406,
        2.07157,
        2.03058,
        2.00231,
        1.99194,
        2.03492,
        2.02855,
        2.02496,
        2.00685,
        2.00041,
        2.01365,
        1.98111,
        1.99366,
        2.00719,
        2.02864,
        2.01154,
        2.0636,
        2.03547,
        2.0051,
        2.02763,
        2.0324,
        2.0462,
        2.06409,
        2.02401,
        2.02809,
        2.02209,
        2.02782,
        1.99056,
        2.03758,
        2.05511,
        2.01927,
        2.08541,
        2.0177,
        2.02581,
        1.96535,
        1.99486,
        2.01094,
        2.0812,
        2.04308,
        2.07961,
        2.06252,
        2.04006,
        2.04093,
        2.0528,
        2.02154,
        1.9664,
        2.02071,
        2.02933,
        2.02608,
        2.06484,
        2.03296,
        2.07656,
        2.03904,
        2.00261,
        2.01249,
        1.97194,
        1.94185,
        2.00809,
        2.03074,
        2.09088,
        2.04792,
        2.0548,
        2.05729,
        2.00786,
        2.04637,
        2.02892,
        2.02061,
        2.03486,
        2.05861,
        2.04213,
        2.02377,
        2.01026,
        2.05303,
        2.02763,
        2.03147,
        2.02796,
        2.00923,
        2.03349,
        2.0084,
        2.03276,
        2.05067,
        2.04418,
        2.02971,
        1.99673,
        2.03641,
        1.93416,
        2.00311,
        2.01655,
        2.06405,
        2.10119,
        2.069,
        2.01971,
        2.03756,
        2.05129,
        1.99565,
        2.03156,
        1.96448,
        1.94333,
        1.908,
        2.04102,
        2.03364,
        2.01682,
        2.0471,
        2.03491,
        2.03508,
        2.01981,
        1.99463,
        2.03016,
        2.0353,
        1.98422,
        1.97148,
        2.00404,
        2.04145,
        2.03891,
        2.03063,
        2.027,
        2.02941,
        1.96882,
        1.92541,
        1.97002,
        2.03608,
        2.04614,
        2.10839,
        2.08362,
        2.0159,
        2.0693,
        2.01607,
        2.02464,
        2.04815,
        2.03151,
        2.04877,
        2.01543,
        2.05251,
        2.02775,
        2.07331,
        2.03548,
        2.09468,
        2.04146,
        2.03463,
        2.03747,
        2.03654,
        2.03878,
        2.07466,
        1.99659,
        2.013,
        2.03,
        2.10652,
        2.10513,
        2.05068,
        2.047,
        2.04499,
        2.07496,
        2.05877,
        2.04918,
        2.05329,
        2.02475,
        2.05582,
        2.05536,
        2.06294,
        2.06115,
        2.02416,
        1.96882,
        1.95721,
        2.0608,
        2.01636,
        2.09385,
        2.01973,
        2.01838,
        2.04452,
        2.02414,
        2.08198,
        2.00518,
        1.99876,
        2.00078,
        2.06451,
        2.04569,
        2.03527,
        2.01771,
        2.03743,
        2.05484,
        2.04023,
        2.0413,
        2.02572,
        1.99972,
        2.03017,
        1.99632,
        2.01608,
        2.00877,
        2.03614,
        1.99575,
        2.0261,
        2.01117,
        2.02631,
        2.03129,
        2.03349,
        2.0309,
        2.07073,
        1.98215,
        2.02546,
        2.00901,
        2.07981,
        2.00065,
        2.0504,
        2.04061,
        2.00243,
        1.99951,
        1.9811,
        2.02206,
        1.98721,
        1.93883,
        1.98921,
        1.96251,
        2.00802,
        2.02655,
        2.01206,
        2.14287,
        1.99014,
        2.03029,
        1.9606,
        2.08489,
        2.14931,
        1.955,
        1.71371,
        1.99531,
        2.23626,
        2.08047,
        2.02257,
        2.2111,
        2.01677,
        1.95484,
        2.06105,
        1.93434,
        1.86587,
        1.95756,
        2.03749,
        2.11029,
        1.96443,
        2.08508,
        2.10864,
        2.00488,
        1.94127,
        2.02643,
        2.04431,
        2.06117,
        2.00058,
        2.03003,
        2.00678,
        2.01957,
        2.0688,
        2.05423,
        1.98991,
        2.0403,
        1.9995,
        2.01593,
        2.03552,
        2.01719,
        2.02018,
        1.96219,
        2.02105,
        2.04173,
        2.02261,
        2.03105,
        2.07995,
        2.06146,
        1.9873,
        2.05334,
        1.99778,
        2.02183,
        2.00418,
        2.02758,
        2.03712,
        1.96746,
        1.99159,
        1.99089,
        2.0864,
        2.02415,
        2.04066,
        2.04188,
        2.08268,
        2.02047,
        2.00967,
        2.09853,
        1.99642,
        2.05496,
        2.02614,
        2.04964,
        2.02682,
        2.07626,
        2.01008,
        2.03196,
        2.12261,
        2.02207,
        2.04035,
        2.09155,
        1.99529,
        2.06831,
        2.03758,
        2.03227,
        2.06983,
        2.03814,
        2.04061,
        2.07372,
        2.01883,
        2.01973,
        2.01477,
        2.05553,
        2.01133,
        2.05174,
        2.05547,
        2.02976,
        2.03825,
        1.98981,
        2.03722,
        2.04772,
        2.055,
        2.07752,
        2.08374,
        2.02098,
        null,
        2.00392,
        2.0416,
        2.0597,
        2.06654,
        2.08043,
        2.07664,
        2.07692,
        2.05614,
        2.04876,
        2.08948,
        2.07798,
        2.06195,
        2.03668,
        2.01771,
        2.05014,
        2.00441,
        1.97338,
        1.98287,
        1.98213,
        1.9961,
        2.04204,
        2.04609,
        2.04635,
        2.05582,
        2.0888,
        2.06242,
        2.06091,
        2.05087,
        2.04716,
        2.04359,
        2.03149,
        2.02464,
        2.05742,
        2.0672,
        2.05407,
        2.01397,
        2.0556,
        2.03027,
        2.19735,
        2.11815,
        1.95975,
        2.10844,
        2.13556,
        2.00883,
        2.06186,
        2.0906,
        2.00037,
        2.01605,
        2.03048,
        2.06923,
        2.10771,
        2.10631,
        2.09968,
        2.07396,
        2.09178,
        2.13603,
        2.10448,
        2.08951,
        2.08252,
        2.0525,
        2.05229,
        2.05977,
        2.05669,
        2.07295,
        2.06589,
        2.04053,
        2.02003,
        2.03302,
        2.02771,
        2.04009,
        2.05602,
        2.05507,
        2.03333,
        2.03463,
        2.03977,
        2.05055,
        2.01385,
        1.95874,
        2.00319,
        2.04133,
        2.04246,
        2.07383,
        2.06525,
        2.0567,
        2.04667,
        2.03329,
        2.06281,
        2.09363,
        2.06123,
        2.03726,
        2.03598,
        2.05771,
        2.05584,
        2.0516,
        2.07149,
        2.06664,
        2.02885,
        2.04068,
        2.04421,
        2.02861,
        2.06685,
        2.07669,
        2.05423,
        2.05,
        2.03628,
        2.02991,
        2.06606,
        2.04872,
        2.0423,
        2.04816,
        2.0177,
        2.03535,
        2.04195,
        2.03505,
        2.03869,
        2.05004,
        2.02028,
        2.01819,
        2.01086,
        1.99355,
        2.01224,
        2.05184,
        2.0455,
        2.05135,
        2.07013,
        2.05025,
        1.99716,
        1.96785,
        2.00477,
        2.10269,
        2.13597,
        2.06572,
        2.07117,
        2.05402,
        2.05524,
        2.06392,
        2.05581,
        2.05587,
        2.06933,
        2.06434,
        2.0627,
        2.06525,
        2.03224,
        2.02264,
        2.03093,
        2.03245,
        2.01849,
        2.02997,
        2.06653,
        2.04101,
        2.04464,
        1.99953,
        2.0156,
        2.00903,
        2.01621,
        2.00235,
        2.01512,
        1.99818,
        1.93744,
        1.99184,
        1.99488,
        2.01046,
        2.06275,
        2.06613,
        2.0461,
        2.0622,
        2.02645,
        2.02823,
        2.04215,
        2.03118,
        2.00417,
        1.96411,
        2.00845,
        2.06575,
        2.10349,
        2.06358,
        2.07543,
        2.06246,
        2.05101,
        2.06473,
        2.06762,
        2.06803,
        2.0716,
        2.07497,
        2.05257,
        2.04742,
        2.05157,
        2.06075,
        2.07824,
        2.03614,
        2.01679,
        2.0103,
        2.02085,
        2.05307,
        2.05881,
        2.04225,
        2.04039,
        2.01985,
        1.99222,
        2.01118,
        2.05828,
        2.053,
        2.06075,
        2.02725,
        2.02085,
        2.03791,
        2.04553,
        2.02699,
        2.00919,
        2.04261,
        2.05113,
        2.04781,
        2.00927,
        2.01896,
        2.00111,
        1.98321,
        2.00066,
        2.01275,
        2.02355,
        2.03182,
        2.02528,
        2.01726,
        2.03806,
        2.02695,
        2.03531,
        2.0519,
        2.05381,
        2.04326,
        2.01772,
        2.00771,
        2.01995,
        2.02902,
        1.99718,
        2.05068,
        2.03371,
        2.01427,
        2.01447,
        2.06037,
        2.05135,
        2.06514,
        2.05621,
        2.0815,
        2.06415,
        2.03002,
        2.05065,
        2.06288,
        2.06108,
        2.08439,
        2.06683,
        2.04642,
        2.04004,
        2.05623,
        2.07369,
        2.07387,
        2.04181,
        2.07989,
        2.06722,
        2.06391,
        2.00837,
        2.00494,
        2.01613,
        2.01856,
        2.02751,
        2.06395,
        2.07772,
        2.05639,
        2.04338,
        2.02971,
        2.07043,
        2.0279,
        1.98665,
        2.02896,
        2.02244,
        2.03415,
        2.07534,
        2.05441,
        2.01541,
        2.0581,
        2.03467,
        2.04481,
        2.03729,
        2.04956,
        2.01239,
        1.98225,
        2.00521,
        2.04624,
        2.04467,
        2.04738,
        2.04816,
        2.05141,
        2.03601,
        2.03871,
        2.03648,
        2.0317,
        1.99179,
        1.99847,
        2.03947,
        2.01417,
        1.97426,
        1.97221,
        2.03074,
        2.07164,
        2.077,
        1.97116,
        1.83402,
        1.95423,
        2.01695,
        2.02826,
        2.11418,
        2.0718,
        2.14484,
        2.19916,
        2.20014,
        2.18849,
        2.177,
        2.27261,
        2.30154,
        2.27142,
        2.25617,
        2.31472,
        2.34128,
        2.35381,
        2.4112,
        2.47913,
        2.56049,
        2.65039,
        2.78076,
        2.87156,
        2.96192,
        2.98861,
        3.00206,
        2.9026,
        2.81515,
        2.70337,
        2.58493,
        2.47635,
        2.39782,
        2.35762,
        2.26298,
        2.20547,
        2.21724,
        2.14038,
        2.09163,
        2.04721,
        2.03925,
        2.07363,
        2.07725,
        2.0783,
        2.06823,
        2.039,
        2.02795,
        2.00927,
        1.99808,
        1.95814,
        2.00821,
        2.09489,
        2.0953,
        2.06403,
        2.06545,
        2.03489,
        2.03389,
        2.0608,
        2.06836,
        2.04323,
        2.04579,
        2.00377,
        2.02512,
        2.03444,
        2.03905,
        2.04182,
        2.02474,
        2.03208,
        2.03319,
        2.0439,
        2.02494,
        2.00283,
        2.01329,
        2.01416,
        2.05971,
        2.04964,
        1.97332,
        1.98161,
        1.99733,
        2.03787,
        2.01721,
        2.00613,
        2.02387,
        1.93645,
        1.99023,
        2.0389,
        2.04269,
        2.00035,
        2.03499,
        2.02395,
        1.95782,
        2.0314,
        2.07138,
        1.99833,
        2.01239,
        2.05755,
        2.01355,
        1.95118,
        2.01253,
        2.00162,
        2.02115,
        2.01573,
        1.9978,
        2.00916,
        2.01602,
        1.99389,
        2.00541,
        2.05043,
        2.00066,
        2.00191,
        2.01511,
        1.97646,
        2.02901,
        2.03851,
        2.01221,
        1.9859,
        1.92189,
        1.8849,
        1.93481,
        1.95138,
        1.99111,
        2.01975,
        1.98916,
        2.08378,
        2.0921,
        2.04928,
        1.96968,
        1.99945,
        1.97693,
        1.95909,
        1.96993,
        1.96634,
        2.02052,
        1.94711,
        1.93111,
        1.8657,
        1.92802,
        1.97112,
        1.95484,
        1.9503,
        1.96274,
        1.96983,
        1.89515,
        1.81067,
        1.9105,
        2.05124,
        1.95663,
        2.04132,
        1.84598,
        1.83213,
        1.85429,
        1.93096,
        1.79948,
        1.74011,
        1.87968,
        2.03519,
        2.03487,
        2.22424,
        2.15979,
        2.20779,
        2.05469,
        1.98163,
        2.03943,
        2.05142,
        2.04406,
        2.07947,
        2.07947,
        2.06809,
        2.05992,
        2.05408,
        2.05235,
        2.07421,
        2.05527,
        2.04355,
        2.07241,
        2.03884,
        2.05276,
        2.06178,
        2.05982,
        2.04529,
        2.02585,
        2.03064,
        2.06566,
        2.06885,
        2.07679,
        2.06585,
        2.05604,
        2.0274,
        2.06194,
        2.07443,
        2.03545,
        2.04206,
        2.10042,
        2.05665,
        2.04444,
        2.02578,
        2.02875,
        2.02061,
        1.98715,
        1.95864,
        2.03912,
        2.05211,
        2.00796,
        1.91628,
        2.00844,
        2.05877,
        2.05519,
        2.05785,
        2.02525,
        2.01438,
        2.0262,
        2.04222,
        2.05436,
        2.03592,
        2.0393,
        2.05948,
        2.02228,
        2.05817,
        2.05507,
        2.00922,
        2.01352,
        2.00306,
        2.01088,
        1.98952,
        1.99283,
        1.99579,
        2.00672,
        2.04413,
        2.04808,
        2.06531,
        2.00955,
        2.01285,
        2.01841,
        2.06143,
        2.04867,
        2.06488,
        2.04164,
        2.06501,
        2.02827,
        2.05006,
        2.06724,
        2.09193,
        2.0708,
        2.06027,
        2.0354,
        2.03813,
        2.05599,
        2.05759,
        2.05188,
        2.05336,
        2.03895,
        2.04003,
        2.02706,
        2.04396,
        2.0448,
        2.02672,
        2.03061,
        2.04561,
        2.04123,
        2.03892,
        2.03477,
        2.03849,
        2.001,
        2.01547,
        2.02053,
        2.02243,
        2.0474,
        2.0623,
        2.06114,
        2.03909,
        2.00832,
        2.00556,
        2.00764,
        1.95621,
        1.98178,
        2.02334,
        2.03586,
        2.02497,
        2.02256,
        2.04908,
        2.04604,
        2.04205,
        2.03285,
        2.00827,
        1.97668,
        1.99117,
        2.03667,
        2.02282,
        2.03122,
        2.04998,
        2.04733,
        2.09081,
        2.09152,
        2.09677,
        2.10648,
        2.10175,
        2.09031,
        2.07744,
        2.06718,
        2.05827,
        2.05065,
        2.05996,
        2.03667,
        2.03985,
        2.02799,
        2.03549,
        2.05623,
        2.03475,
        2.02548,
        2.02893,
        2.05769,
        2.0516,
        2.0275,
        2.05992,
        2.03372,
        2.00801,
        2.01498,
        2.01498,
        2.01862,
        2.05205,
        2.039,
        2.01908,
        1.98053,
        1.9711,
        1.95054,
        2.02811,
        2.04215,
        2.03694,
        2.03828,
        2.03873,
        2.00798,
        2.02579,
        2.04637,
        2.01926,
        2.05653,
        2.06808,
        2.03442,
        2.01647,
        1.93181,
        2.00564,
        2.03723,
        2.08363,
        2.08064,
        2.08601,
        2.08189,
        2.05714,
        2.02815,
        2.01836,
        2.06124,
        2.04401,
        2.06888,
        2.06392,
        2.01177,
        1.97741,
        1.99088,
        1.96382,
        1.94001,
        2.03364,
        2.06941,
        2.08157,
        2.07197,
        2.04279,
        2.02887,
        2.01786,
        2.0144,
        2.00977,
        2.02434,
        2.02578,
        2.02921,
        2.01723,
        2.03048,
        2.0354,
        2.02097,
        2.01133,
        2.09116,
        2.10997,
        2.04806,
        2.05588,
        2.05599,
        2.05972,
        2.05138,
        2.04722,
        2.04905,
        2.04931,
        2.03005,
        2.02204,
        2.04429,
        2.05679,
        2.01729,
        2.04701,
        2.05141,
        2.02533,
        2.0344,
        2.03507,
        2.03998,
        2.05684,
        2.04973,
        2.03241,
        1.99496,
        1.98162,
        2.01558,
        2.06505,
        2.07018,
        2.04769,
        2.06043,
        2.04994,
        2.05854,
        2.06225,
        2.04036,
        2.03063,
        2.03814,
        2.04051,
        2.03305,
        2.0611,
        2.0755,
        2.05929,
        2.05351,
        2.04035,
        2.01357,
        2.01078,
        2.00734,
        2.01138,
        2.05229,
        2.04291,
        2.02646,
        2.04794,
        2.00896,
        2.02551,
        1.9924,
        1.95139,
        1.94001,
        1.98639,
        2.08071,
        2.07321,
        2.04244,
        2.05379,
        2.06141,
        2.02069,
        2.07583,
        2.00402,
        2.01214,
        2.07657,
        2.03239,
        2.01235,
        2.03173,
        2.02211,
        2.04538,
        2.07417,
        2.05688,
        1.99245,
        2.02646,
        2.01682,
        2.06088,
        2.05363,
        2.06924,
        2.06281,
        2.01069,
        1.90619,
        1.92727,
        2.03686,
        2.05093,
        2.04942,
        1.96099,
        1.94992,
        2.0386,
        2.05075,
        1.95277,
        1.95908,
        2.00015,
        2.29248,
        2.2866,
        2.23833,
        2.17851,
        2.20372,
        2.11512,
        2.13806,
        2.17801,
        2.26165,
        2.19914,
        2.18245,
        2.22938,
        2.23294,
        2.28234,
        2.35365,
        2.39769,
        2.46144,
        2.44994,
        2.50499,
        2.6265,
        2.75307,
        2.77883,
        2.89498,
        3.03355,
        2.99929,
        2.94782,
        2.93704,
        2.83287,
        2.75535,
        2.58063,
        2.47804,
        2.45672,
        2.4662,
        2.33,
        2.23449,
        2.14295,
        2.11086,
        2.2201,
        2.28804,
        2.13139,
        2.41829,
        2.13205,
        2.10828,
        2.16209,
        2.16289,
        2.12683,
        2.05666,
        2.13517,
        2.11006,
        2.02098,
        1.95517,
        2.03281,
        2.09564,
        2.12393,
        1.97244,
        2.01963,
        2.14264,
        2.02322,
        1.82737,
        2.04991,
        2.16031,
        2.11818,
        2.10261,
        2.01173,
        2.08624,
        2.15408,
        1.93866,
        1.96986,
        2.1813,
        2.20234,
        2.07102,
        2.11179,
        2.07115,
        2.04035,
        2.04833,
        2.06866,
        2.07687,
        2.06299,
        2.06733,
        2.04093,
        2.04351,
        2.05899,
        2.05666,
        2.08768,
        2.05063,
        2.04827,
        2.08502,
        2.03115,
        2.0716,
        2.06094,
        2.07843,
        2.04202,
        2.0209,
        1.99071,
        1.96071,
        2.02407,
        2.05655,
        2.03057,
        2.06531,
        2.03325,
        2.04455,
        2.02384,
        1.97219,
        1.96886,
        2.03227,
        2.07752,
        2.05819,
        2.0358,
        2.02069,
        1.99563,
        2.00754,
        2.06337,
        2.10216,
        2.03247,
        2.03293,
        2.05817,
        2.07364,
        2.06978,
        2.05086,
        2.03083,
        2.08957,
        2.04948,
        2.03508,
        2.07366,
        2.06433,
        2.05583,
        2.06788,
        2.07025,
        2.04791,
        2.06794,
        2.06786,
        2.05469,
        2.04828,
        2.01302,
        2.07528,
        1.99609,
        2.01594,
        2.0093,
        2.01818,
        2.02607,
        2.04259,
        2.06138,
        2.01496,
        1.98422,
        1.98767,
        1.98653,
        2.01356,
        2.02645,
        2.05452,
        2.01652,
        2.01545,
        2.01084,
        2.01753,
        2.02713,
        2.01469,
        2.00937,
        2.00401,
        2.04031,
        2.0278,
        2.01988,
        2.02732,
        2.04006,
        2.02705,
        2.04021,
        2.03051,
        2.00146,
        2.00507,
        2.01143,
        2.02634,
        2.02882,
        2.01965,
        1.98668,
        1.99675,
        2.01491,
        2.00524,
        2.01022,
        1.97772,
        1.97583,
        1.95978,
        1.98588,
        2.01932,
        2.03641,
        2.01211,
        1.94344,
        1.94703,
        1.95489,
        1.94751,
        1.95696,
        1.87567,
        1.79465,
        1.83419,
        1.97785,
        2.04937,
        2.03522,
        2.01665,
        2.02652,
        1.99014,
        2.00541,
        2.0719,
        2.03419,
        2.06195,
        2.03067,
        2.02794,
        2.04626,
        2.01837,
        2.01897,
        2.03351,
        2.08155,
        2.09221,
        2.11578,
        2.09469,
        2.05351,
        2.04427,
        2.02542,
        2.02519,
        2.05292,
        2.02914,
        2.04531,
        2.01827,
        1.98159,
        1.99913,
        1.98983,
        2.06027,
        2.02649,
        2.05016,
        2.02814,
        1.97596,
        2.00899,
        2.05615,
        2.05573,
        2.01228,
        2.00667,
        2.03502,
        2.04928,
        2.02355,
        2.01488,
        1.98191,
        1.9445,
        2.01406,
        2.00935,
        2.00624,
        1.99284,
        2.01321,
        2.01084,
        2.06325,
        2.05566,
        2.05097,
        2.04895,
        2.03711,
        2.05499,
        2.05329,
        2.02459,
        2.02234,
        2.02803,
        2.01072,
        2.00497,
        2.02687,
        2.02044,
        2.06156,
        2.02267,
        2.01335,
        2.04211,
        2.01337,
        2.01213,
        2.03833,
        2.03401,
        2.02897,
        2.05175,
        2.02197,
        2.00326,
        2.01146,
        2.03935,
        2.0363,
        2.04465,
        2.04668,
        2.07378,
        2.04956,
        2.02398,
        2.02397,
        2.0017,
        2.00312,
        2.02716,
        2.04268,
        2.05333,
        2.05315,
        2.05202,
        2.02912,
        2.04247,
        2.02257,
        2.01216,
        2.01058,
        1.99849,
        1.99488,
        2.07101,
        2.06804,
        2.06354,
        2.06143,
        2.02717,
        2.03507,
        1.9906,
        2.03921,
        2.04133,
        2.00988,
        2.02396,
        2.01499,
        2.00588,
        2.01593,
        2.04219,
        2.04021,
        2.00674,
        2.04913,
        2.00619,
        2.02761,
        2.00415,
        2.02268,
        2.03342,
        2.01249,
        2.11475,
        2.04967,
        2.08041,
        2.00224,
        2.02864,
        2.27329,
        2.15274,
        1.91898,
        2.10694,
        2.25066,
        2.11592,
        2.04148,
        2.14037,
        2.08191,
        2.1307,
        2.06647,
        1.97097,
        2.05198,
        2.02432,
        2.04199,
        2.02256,
        2.05014,
        2.10383,
        2.09024,
        2.1122,
        2.05501,
        1.98109,
        1.9995,
        1.97691,
        2.01192,
        1.99791,
        2.02874,
        2.05373,
        2.00775,
        2.02379,
        2.02434,
        2.02239,
        1.98595,
        2.06185,
        1.95197,
        1.90264,
        1.86651,
        1.87581,
        2.21076,
        2.27096,
        2.10776,
        2.03551,
        2.05413,
        2.02486,
        2.0349,
        2.01189,
        2.07325,
        2.06783,
        2.03527,
        2.02078,
        2.04951,
        1.98944,
        1.94236,
        1.99614,
        2.03023,
        2.02025,
        2.03049,
        2.07376,
        2.07691,
        2.06496,
        2.07823,
        2.07163,
        2.05924,
        2.06264,
        2.07781,
        2.0172,
        2.01847,
        2.05966,
        2.04723,
        2.02175,
        2.01174,
        2.03065,
        2.04277,
        1.989,
        2.03035,
        2.06917,
        2.05063,
        2.00635,
        2.00523,
        1.955,
        2.00751,
        2.05737,
        2.0604,
        2.02956,
        2.03828,
        2.05153,
        2.04992,
        2.0561,
        2.03258,
        2.0319,
        2.01755,
        2.00278,
        2.03756,
        2.01511,
        2.04129,
        2.02519,
        2.06614,
        2.04244,
        2.04893,
        2.03249,
        2.03503,
        2.0386,
        2.02518,
        2.04555,
        1.99978,
        2.03246,
        2.02987,
        2.03107,
        2.06951,
        2.05755,
        1.98315,
        2.01912,
        2.02254,
        2.01155,
        2.01509,
        2.02036,
        2.0367,
        2.00111,
        1.97014,
        1.95293,
        1.85638,
        1.8466,
        1.83644,
        2.08445,
        2.16779,
        2.22555,
        2.14154,
        2.17909,
        2.15029,
        2.06757,
        2.14898,
        2.20664,
        2.24678,
        2.25613,
        2.26492,
        2.28016,
        2.26826,
        2.30179,
        2.30774,
        2.35656,
        2.37218,
        2.37056,
        2.38249,
        2.45749,
        2.49437,
        2.59212,
        2.68834,
        2.83914,
        2.88846,
        2.93717,
        2.95784,
        2.92541,
        2.82227,
        2.77782,
        2.70299,
        2.64123,
        2.53891,
        2.52624,
        2.42329,
        2.33788,
        2.30698,
        2.26175,
        2.21929,
        2.15558,
        2.15896,
        2.12452,
        2.1175,
        2.10674,
        2.07719,
        2.07342,
        2.06459,
        2.0726,
        2.07156,
        2.05165,
        2.01699,
        2.0445,
        2.02566,
        2.03779,
        2.05337,
        2.02359,
        2.041,
        2.03002,
        2.02271,
        2.04386,
        2.06431,
        2.04388,
        2.01971,
        2.00298,
        1.96768,
        2.01885,
        2.03035,
        2.05854,
        2.05144,
        2.05878,
        2.05371,
        2.02377,
        2.03203,
        2.01471,
        2.03624,
        2.05299,
        2.02984,
        2.00181,
        2.02501,
        2.03403,
        2.02134,
        2.04255,
        2.05092,
        2.06759,
        2.06376,
        2.06051,
        2.04449,
        2.03482,
        2.02645,
        2.00774,
        1.97304,
        2.0395,
        2.04724,
        2.041,
        1.99919,
        2.0235,
        1.91007,
        1.98015,
        1.80229,
        2.0804,
        2.19373,
        1.94084,
        2.03092,
        2.09379,
        2.16228,
        2.06441,
        2.06855,
        2.06264,
        2.09913,
        2.09292,
        2.03348,
        2.04235,
        2.0691,
        2.07965,
        2.00242,
        2.03487,
        2.05161,
        2.05955,
        2.06505,
        2.03653,
        2.0224,
        2.00602,
        2.04831,
        2.02835,
        2.04317,
        2.06591,
        2.10153,
        2.0767,
        2.05989,
        2.03215,
        2.00704,
        2.04066,
        2.06436,
        2.05691,
        2.07756,
        2.06254,
        2.05021,
        2.05546,
        2.06136,
        2.05991,
        2.08613,
        2.1017,
        2.09048,
        2.03125,
        2.03243,
        2.04492,
        2.07058,
        2.07637,
        2.06399,
        2.04427,
        2.05619,
        2.02508,
        2.03082,
        2.03512,
        1.98704,
        1.97118,
        2.00792,
        2.00743,
        2.05341,
        2.06471,
        2.07187,
        2.03638,
        2.04414,
        2.04619,
        2.07431,
        2.07144,
        2.02594,
        2.0101,
        2.01196,
        2.04844,
        2.03366,
        2.00754,
        1.9739,
        1.94891,
        1.97425,
        1.96395,
        1.96292,
        2.06524,
        2.03626,
        2.06845,
        2.06237,
        2.0584,
        2.07167,
        2.07683,
        2.07711,
        2.05407,
        2.05145,
        2.06609,
        2.05469,
        2.09991,
        2.14159,
        2.17137,
        2.14196,
        2.11912,
        2.04105,
        2.05761,
        2.11069,
        2.07851,
        2.08543,
        2.09947,
        2.02205,
        2.03146,
        2.02062,
        2.0308,
        2.02798,
        2.03037,
        2.02882,
        2.04959,
        2.07338,
        2.05091,
        2.03165,
        2.02284,
        2.06001,
        2.02715,
        2.03962,
        2.05988,
        2.02606,
        2.05066,
        2.04629,
        2.05126,
        2.04419,
        2.03982,
        2.01589,
        2.05788,
        2.04028,
        2.04225,
        2.03106,
        2.01755,
        2.00669,
        2.03425,
        2.02813,
        2.0466,
        2.05083,
        2.02402,
        2.042,
        2.02138,
        1.99233,
        2.00077,
        2.01541,
        2.01076,
        2.00439,
        2.0589,
        2.02182,
        2.01985,
        2.04229,
        2.04175,
        2.01202,
        2.01136,
        2.04787,
        2.05177,
        2.02595,
        2.06153,
        2.05963,
        2.02269,
        2.04301,
        2.04962,
        2.01807,
        2.04388,
        2.02824,
        2.03281,
        2.04736,
        2.05897,
        2.02987,
        2.02323,
        2.02237,
        1.98496,
        1.98636,
        1.98203,
        2.01746,
        2.07543,
        2.07583,
        2.10077,
        2.0517,
        2.01518,
        1.98255,
        1.99191,
        2.00521,
        2.02618,
        1.99756,
        1.96792,
        2.01079,
        2.0165,
        1.9844,
        2.00873,
        2.01214,
        2.00559,
        1.98142,
        1.96704,
        1.92682,
        1.92295,
        2.43303,
        2.1101,
        1.95452,
        2.0,
        2.05055,
        1.99196,
        1.98196,
        1.98579,
        1.99425,
        2.0489,
        2.03916,
        2.0173,
        1.99133,
        2.01852,
        2.0889,
        2.02193,
        2.02292,
        2.03373,
        2.06557,
        2.04487,
        2.00802,
        2.02693,
        2.02824,
        2.01129,
        1.98615,
        1.94049,
        1.95357,
        2.02041,
        2.08187,
        2.10398,
        2.05766,
        2.04864,
        1.98675,
        2.02287,
        2.00485,
        2.01076,
        2.06633,
        2.03707,
        2.04332,
        2.06227,
        2.075,
        2.03651,
        2.06538,
        2.03097,
        2.02459,
        2.0284,
        2.01432,
        2.03046,
        2.02608,
        2.03075,
        1.97984,
        2.01629,
        2.00655,
        1.97432,
        2.00538,
        2.04155,
        2.00974,
        1.98829,
        2.04904,
        2.01242,
        2.06726,
        2.05257,
        2.01728,
        2.00162,
        2.00214,
        1.9619,
        2.04306,
        2.01169,
        2.00486,
        2.0158,
        2.04123,
        2.03195,
        2.0163,
        2.01368,
        2.06307,
        2.03457,
        2.00677,
        1.99348,
        2.01846,
        2.01141,
        2.00211,
        1.98444,
        1.99923,
        2.00763,
        2.01192,
        2.02881,
        2.03805,
        1.99571,
        2.02135,
        2.00478,
        1.9984,
        1.99374,
        1.98796,
        1.99148,
        2.05478,
        2.01265,
        2.0161,
        2.04731,
        2.03176,
        2.03996,
        2.03216,
        1.98894,
        1.99419,
        1.97506,
        1.99786,
        2.0275,
        2.08249,
        2.07355,
        2.03992,
        2.03788,
        2.0699,
        2.04425,
        2.03038,
        2.041,
        2.03379,
        1.99418,
        2.03017,
        2.01765,
        1.98373,
        2.00062,
        2.04251,
        2.06491,
        2.04887,
        2.03313,
        2.00896,
        2.03019,
        2.0501,
        2.02952,
        2.04772,
        2.0468,
        2.02187,
        2.02099,
        2.01937,
        2.03337,
        2.02099,
        2.05527,
        2.01353,
        2.04448,
        2.04995,
        2.02805,
        2.05433,
        2.04155,
        2.00153,
        2.0191,
        1.96235,
        2.00485,
        2.05494,
        2.02667,
        2.02505,
        2.0482,
        2.03117,
        2.0273,
        2.00467,
        2.00909,
        2.0641,
        2.04788,
        2.03869,
        2.06364,
        1.99986,
        1.98082,
        1.93833,
        2.0227,
        2.0684,
        2.07075,
        2.05013,
        2.02074,
        2.02871,
        2.04195,
        2.0364,
        2.04058,
        2.04442,
        2.06573,
        2.00243,
        2.01215,
        2.01805,
        1.95542,
        1.98256,
        2.05361,
        2.04937,
        1.99167,
        2.04838,
        1.99112,
        2.06328,
        2.10519,
        2.06483,
        1.98141,
        2.01733,
        1.91163,
        1.89587,
        2.02495,
        1.80564,
        2.22801,
        1.78045,
        1.95636,
        1.98915,
        2.00337,
        1.95975,
        1.88402,
        1.96428,
        2.09557,
        2.10321,
        2.0513,
        2.02885,
        2.08868,
        1.99041,
        2.00743,
        2.02413,
        2.02726,
        2.04045,
        2.03977,
        2.08629,
        1.99281,
        2.01871,
        2.0167,
        2.02989,
        2.0308,
        2.0141,
        2.06597,
        2.04643,
        1.99142,
        1.96033,
        2.01749,
        2.01216,
        2.06371,
        2.02368,
        1.9775,
        1.99748,
        1.94692,
        1.8549,
        1.93601,
        2.30418,
        2.17221,
        2.07465,
        2.14755,
        2.20716,
        2.18369,
        2.26489,
        2.26279,
        2.29612,
        2.14903,
        2.33619,
        2.00448,
        2.08988,
        2.4834,
        2.51479,
        1.98621,
        2.12592,
        2.40042,
        2.51247,
        2.63996,
        2.84785,
        2.773,
        2.74676,
        2.86638,
        2.95789,
        2.87195,
        2.95336,
        2.90269,
        2.89024,
        2.78309,
        2.65509,
        2.53196,
        2.5061,
        2.45042,
        2.35929,
        2.33467,
        2.23939,
        2.25252,
        2.18312,
        2.22054,
        2.13462,
        2.15246,
        2.10121,
        2.09314,
        2.04991,
        2.05582,
        2.05926,
        2.02611,
        2.06084,
        2.06569,
        2.0568,
        2.06741,
        2.00499,
        2.01475,
        2.03097,
        2.03092,
        2.00642,
        2.01495,
        2.02311,
        2.05406,
        2.03289,
        2.07267,
        2.05474,
        2.04172,
        2.03207,
        2.0048,
        1.99797,
        2.02465,
        2.00175,
        2.04087,
        2.06968,
        2.07141,
        1.99349,
        2.00448,
        2.03571,
        2.00916,
        2.00371,
        2.05957,
        2.02484,
        2.00639,
        2.06768,
        2.01206,
        2.03134,
        2.06255,
        2.04373,
        2.01208,
        2.02027,
        1.9986,
        2.00615,
        2.05506,
        2.00136,
        2.02829,
        2.04522,
        2.07472,
        2.05184,
        2.03888,
        1.98741,
        2.01557,
        2.01967,
        1.99467,
        2.02163,
        2.03976,
        2.06382,
        2.08546,
        2.00303,
        2.04684,
        2.10272,
        2.02858,
        1.96314,
        1.96239,
        2.00916,
        2.02832,
        2.01769,
        2.06234,
        2.11167,
        2.02555,
        2.04547,
        2.06425,
        2.08294,
        2.07925,
        2.075,
        2.02029,
        2.04872,
        2.00631,
        2.05794,
        1.98784,
        2.09034,
        2.07335,
        2.06346,
        2.1452,
        2.17282,
        2.15904,
        2.13673,
        2.00554,
        2.07717,
        2.07575,
        2.09892,
        2.03271,
        2.07664,
        2.02456,
        2.07644,
        1.97573,
        2.01386,
        1.99643,
        2.03421,
        2.0223,
        1.93851,
        2.07759,
        1.72672,
        1.88003,
        1.9996,
        2.10052,
        1.82683,
        2.09739,
        2.1146,
        2.00212,
        1.97099,
        2.05528,
        1.99947,
        1.95032,
        2.01459,
        2.06793,
        2.00802,
        1.95309,
        2.04909,
        1.98394,
        2.02633,
        2.02424,
        2.03928,
        2.05259,
        2.06181,
        2.0181,
        2.06436,
        2.05486,
        1.99772,
        2.03473,
        1.99375,
        2.02186,
        1.99881,
        2.03299,
        2.00853,
        2.039,
        2.04534,
        2.00689,
        2.0078,
        2.04401,
        null,
        1.99335,
        2.04083,
        1.95121,
        1.89674,
        1.99667,
        1.88571,
        2.09442,
        1.94834,
        1.89578,
        1.89117,
        1.97109,
        2.0158,
        1.93241,
        1.90846,
        1.90013,
        1.93078,
        1.90392,
        2.05393,
        2.12563,
        1.80916,
        2.01509,
        1.96994,
        1.82216,
        1.81186,
        1.86178,
        1.92287,
        1.93261,
        1.72385,
        null,
        2.09247,
        2.01965,
        2.00863,
        1.96005,
        1.98473,
        2.02298,
        1.98802,
        2.04517,
        1.99123,
        1.96439,
        2.01631,
        2.08561,
        2.04243,
        1.99864,
        2.05607,
        2.0761,
        2.02205,
        2.0141,
        2.06629,
        2.05274,
        2.05346,
        2.04217,
        2.00894,
        2.00219,
        2.01642,
        2.02832,
        2.00523,
        2.02195,
        2.07613,
        2.0083,
        2.00024,
        2.05433,
        2.03261,
        1.98962,
        1.99553,
        1.98993,
        2.00148,
        1.99464,
        1.98449,
        2.03812,
        2.0008,
        1.98642,
        1.97094,
        1.97899,
        1.98603,
        2.01752,
        2.0262,
        1.99009,
        2.046,
        2.0337,
        2.0031,
        2.03915,
        2.00936,
        1.95337,
        1.99543,
        2.01313,
        2.02253,
        2.03951,
        2.04516,
        1.99424,
        2.04026,
        2.01024,
        2.04169,
        2.0562,
        2.05188,
        2.02306,
        2.03234,
        2.03576,
        2.01874,
        2.0391,
        2.02984,
        2.0287,
        2.0492,
        2.0303,
        2.01263,
        2.0263,
        2.05675,
        2.06502,
        2.06238,
        2.0514,
        2.0174,
        2.01678,
        2.03262,
        2.02823,
        2.00188,
        2.02894,
        2.01124,
        2.01306,
        1.99552,
        1.99213,
        2.0084,
        1.99026,
        2.0003,
        2.03675,
        2.00739,
        2.00134,
        2.01683,
        2.01301,
        2.03925,
        1.99859,
        1.9878,
        1.98589,
        1.9603,
        1.98273,
        2.02917,
        2.01113,
        2.00574,
        1.99233,
        2.0407,
        2.05265,
        2.04257,
        2.04183,
        2.05364,
        2.03375,
        2.01603,
        2.00557,
        2.00423,
        2.02918,
        2.06739,
        2.03979,
        2.03503,
        2.02681,
        1.99719,
        2.04695,
        2.03963,
        2.02051,
        2.04522,
        2.02402,
        2.02013,
        2.01697,
        2.0002,
        2.04677,
        2.0305,
        2.051,
        2.04251,
        2.03474,
        2.02579,
        2.02049,
        1.98041,
        2.01036,
        2.05034,
        2.03595,
        2.00131,
        2.01627,
        2.04726,
        2.03064,
        2.01406,
        2.00361,
        2.04979,
        2.03322,
        2.04147,
        2.03198,
        2.04796,
        2.02252,
        2.01213,
        2.02992,
        2.02392,
        2.05752,
        2.02578,
        1.97911,
        1.97177,
        1.91819,
        1.92539,
        1.9436,
        1.99537,
        2.0371,
        2.03736,
        2.04028,
        2.02824,
        1.997,
        1.99429,
        2.01409,
        2.0541,
        2.03128,
        2.00338,
        2.00666,
        2.03015,
        2.07699,
        2.02748,
        2.02688,
        1.99952,
        2.03058,
        2.02027,
        2.04479,
        2.03508,
        2.02808,
        2.01464,
        2.01723,
        2.02151,
        2.02556,
        2.02619,
        2.06168,
        2.07168,
        2.00723,
        2.00594,
        2.04323,
        2.03383,
        2.04181,
        2.04428,
        2.02623,
        2.00892,
        2.01727,
        2.0034,
        2.01472,
        2.01005,
        2.033,
        2.01559,
        2.04102,
        1.97762,
        2.00814,
        2.02455,
        2.03844,
        2.03988,
        2.02064,
        2.01459,
        2.01596,
        2.03892,
        2.01555,
        2.01846,
        2.03101,
        2.03821,
        2.01188,
        2.02439,
        1.97482,
        1.95156,
        2.02606,
        2.04548,
        2.08748,
        2.0714,
        2.02978,
        1.99089,
        2.01465,
        2.03639,
        2.00114,
        2.03316,
        2.02071,
        2.03333,
        2.01191,
        1.97743,
        2.012,
        2.05173,
        2.02311,
        2.01953,
        2.00743,
        1.99588,
        2.01808,
        2.02474,
        2.01029,
        2.02803,
        2.05292,
        2.0085,
        2.04439,
        2.04103,
        2.0351,
        2.02039,
        2.08079,
        2.05771,
        2.03658,
        2.00217,
        2.01017,
        2.01536,
        2.02033,
        1.98185,
        1.9656,
        2.01992,
        2.00326,
        1.95268,
        1.81777,
        1.88782,
        2.18333,
        2.28306,
        2.00573,
        2.11517,
        2.27101,
        2.16838,
        2.24685,
        1.95972,
        2.01629,
        2.02634,
        2.00506,
        2.04393,
        2.01436,
        1.97075,
        2.10021,
        2.08121,
        2.02512,
        2.07747,
        2.05101,
        1.97979,
        1.97587,
        1.94478,
        2.01147,
        2.07399,
        2.0589,
        2.04326,
        1.99683,
        2.03424,
        2.0117,
        2.02926,
        1.98473,
        2.05538,
        2.04087,
        2.0058,
        2.01884,
        2.05534,
        2.0428,
        2.04747,
        2.04815,
        2.00816,
        1.96933,
        2.01144,
        2.01036,
        2.00452,
        2.06678,
        2.01731,
        1.93837,
        1.93725,
        2.0488,
        2.0503,
        1.88372,
        1.97492,
        2.04966,
        1.99118,
        1.96212,
        1.96706,
        1.98244,
        1.94599,
        2.00781,
        2.04932,
        2.03602,
        2.0314,
        2.05065,
        2.04928,
        2.01998,
        2.04109,
        2.02728,
        2.01168,
        2.0109,
        1.97239,
        1.97498,
        2.02496,
        2.01792,
        2.01531,
        2.00092,
        1.97547,
        1.9881,
        2.03647,
        2.05478,
        2.03936,
        2.02017,
        2.04397,
        2.05795,
        2.05806,
        2.02777,
        2.02161,
        2.04162,
        2.01289,
        2.02738,
        2.06489,
        2.02552,
        2.03721,
        2.0397,
        2.04516,
        2.01191,
        2.02076,
        2.07808,
        2.15064,
        2.17229,
        2.07597,
        2.03691,
        2.14477,
        2.10554,
        2.10327,
        2.1715,
        2.14246,
        2.0983,
        2.12956,
        2.11008,
        2.15053,
        2.13695,
        2.20513,
        2.2479,
        2.23161,
        2.19478,
        2.25453,
        2.25937,
        2.28014,
        2.2872,
        2.33563,
        2.34823,
        2.37229,
        2.45174,
        2.55842,
        2.62371,
        2.70777,
        2.81103,
        2.86707,
        2.84703,
        2.83186,
        2.77826,
        2.73525,
        2.6049,
        2.53719,
        2.49685,
        2.45684,
        2.33571,
        2.31822,
        2.24654,
        2.20212,
        2.19396,
        2.13702,
        2.10793,
        2.05763,
        2.0697,
        2.09538,
        2.1019,
        2.05699,
        2.04272,
        2.04871,
        2.06714,
        2.05802,
        2.09111,
        2.08023,
        2.0661,
        2.03367,
        2.0703,
        2.06477,
        2.05569,
        2.04838,
        2.08555,
        2.02872,
        2.05031,
        2.06269,
        2.07621,
        2.03174,
        2.04225,
        2.05471,
        2.06368,
        2.05794,
        2.01691,
        2.01275,
        2.02879,
        2.03907,
        2.05962,
        2.03947,
        2.00964,
        2.04291,
        2.04973,
        2.06507,
        2.0458,
        2.004,
        2.04654,
        2.05988,
        2.15609,
        2.09081,
        2.09018,
        2.06757,
        2.13315,
        2.0915,
        2.00237,
        2.08605,
        2.0769,
        1.99464,
        2.02832,
        2.02495,
        2.01199,
        2.10184,
        2.01836,
        2.064,
        2.0463,
        1.98793,
        1.98233,
        2.01841,
        2.05685,
        2.05594,
        2.03515,
        2.06529,
        2.0518,
        2.0472,
        2.01438,
        1.96959,
        1.98835,
        1.95452,
        1.95054,
        1.98393,
        2.03203,
        1.97658,
        2.00551,
        1.91393,
        1.88464,
        1.79686,
        1.88878,
        2.11636,
        2.03674,
        1.95751,
        1.99628,
        2.05865,
        1.97767,
        2.00287,
        2.04717,
        2.00814,
        1.98931,
        1.98907,
        2.04437,
        2.02418,
        2.02782,
        2.02284,
        2.0069,
        2.01102,
        2.04776,
        2.01982,
        2.03579,
        2.00888,
        2.00707,
        2.01971,
        2.00392,
        2.02857,
        2.05293,
        2.04305,
        2.01394,
        2.03576,
        2.01215,
        2.0336,
        2.03131,
        2.01469,
        2.02819,
        2.04852,
        2.046,
        2.00733,
        2.03099,
        2.0307,
        2.02873,
        2.02625,
        2.0417,
        2.02149,
        2.00583,
        2.02494,
        2.0271,
        2.01873,
        2.04474,
        2.01314,
        2.02801,
        2.00185,
        2.01953,
        1.98932,
        1.95744,
        1.97219,
        2.00439,
        2.04658,
        2.04766,
        2.03215,
        2.03024,
        2.00961,
        2.05066,
        2.01004,
        2.0298,
        2.03172,
        2.0338,
        2.03683,
        1.98924,
        1.98746,
        2.04514,
        2.02979,
        2.04404,
        2.04275,
        2.03042,
        2.00381,
        2.00431,
        2.01929,
        2.02681,
        2.05006,
        2.04098,
        1.99699,
        1.95166,
        1.98937,
        2.04554,
        2.04184,
        2.02641,
        2.02426,
        2.01371,
        2.0222,
        2.02113,
        2.02684,
        2.01658,
        2.00078,
        2.02293,
        2.08158,
        2.0598,
        2.0518,
        2.04985,
        2.05193,
        2.06521,
        2.04094,
        2.02931,
        2.01349,
        2.02863,
        2.02438,
        1.99345,
        1.98564,
        2.01172,
        2.04206,
        2.02739,
        2.02525,
        2.02966,
        2.01652,
        2.01359,
        2.00831,
        2.00728,
        1.98671,
        2.00671,
        2.01822,
        2.03169,
        2.03124,
        2.00004,
        2.00292,
        2.01924,
        2.03047,
        1.99517,
        1.99936,
        2.01317,
        2.00857,
        2.02768,
        1.99611,
        1.98749,
        1.98694,
        2.00586,
        2.04508,
        2.02572,
        2.07531,
        2.03515,
        2.01344,
        2.01142,
        1.99824,
        2.00844,
        2.03274,
        2.00488,
        2.00076,
        2.002,
        2.01765,
        2.04033,
        2.03845,
        1.99663,
        1.99834,
        2.03364,
        2.01032,
        1.98212,
        1.98224,
        1.94166,
        1.96861,
        2.00721,
        2.01144,
        2.00075,
        2.01312,
        2.00928,
        2.01478,
        1.99252,
        1.99719,
        2.01003,
        1.97829,
        1.96106,
        1.97094,
        1.94343,
        1.99187,
        2.03099,
        1.93714,
        1.96498,
        1.90158,
        2.02155,
        2.05435,
        2.00076,
        1.95247,
        2.04048,
        1.95926,
        1.95173,
        1.98413,
        2.04055,
        1.98158,
        1.99971,
        1.97458,
        2.04015,
        2.01898,
        1.96289,
        1.97748,
        2.00079,
        1.97466,
        2.00062,
        2.03088,
        1.99277,
        1.97239,
        1.96766,
        2.03881,
        2.03642,
        2.01704,
        2.03296,
        2.01839,
        2.03928,
        2.01158,
        2.00209,
        2.02011,
        2.00336,
        2.00909,
        2.00055,
        1.98626,
        2.02257,
        2.00725,
        1.99971,
        2.02193,
        2.03248,
        2.00778,
        1.9665,
        1.94696,
        1.99428,
        1.99533,
        2.01471,
        2.00207,
        2.02605,
        2.05247,
        2.00817,
        2.00498,
        1.97586,
        1.98608,
        2.01411,
        1.97767,
        1.99373,
        2.00531,
        1.97389,
        2.01881,
        2.02073,
        1.99649,
        1.99614,
        2.02785,
        1.99005,
        2.01728,
        1.98623,
        2.01708,
        2.06622,
        1.97523,
        1.98653,
        1.97097,
        2.04217,
        1.99327,
        2.01716,
        1.96995,
        2.01639,
        2.02131,
        1.992,
        1.99117,
        2.02023,
        2.00056,
        1.99721,
        2.01659,
        2.01455,
        2.01422,
        2.00181,
        1.964,
        1.97331,
        1.99584,
        2.00211,
        1.99794,
        1.98207,
        1.99511,
        2.01804,
        2.03908,
        2.02166,
        2.04675,
        2.02358,
        2.04077,
        2.00528,
        1.97333,
        1.97823,
        1.99204,
        1.98684,
        2.01022,
        2.02268,
        2.01164,
        1.98543,
        1.99577,
        2.01478,
        1.99483,
        2.02602,
        2.00822,
        2.02318,
        2.03581,
        2.05491,
        1.98222,
        2.03592,
        2.00665,
        1.96342,
        1.988,
        2.00236,
        2.00443,
        2.02345,
        2.0589,
        2.0437,
        2.0255,
        2.02322,
        2.04047,
        2.10957,
        2.11285,
        2.13129,
        2.12322,
        2.10794,
        2.08649,
        2.04355,
        2.03561,
        2.02761,
        2.02832,
        2.01853,
        1.98595,
        2.0127,
        2.0613,
        2.03213,
        2.01929,
        2.00595,
        2.00004,
        1.99928,
        1.99581,
        2.0627,
        1.98834,
        1.99276,
        1.99198,
        2.01874,
        1.99471,
        2.04366,
        1.99687,
        1.96208,
        1.97572,
        1.97684,
        1.9853,
        2.00896,
        1.93682,
        1.97689,
        2.0308,
        1.87657,
        1.89281,
        1.9926,
        1.89132,
        1.93679,
        2.00714,
        2.08887,
        1.96035,
        1.96299,
        1.99031,
        1.95488,
        2.00051,
        2.04768,
        2.03845,
        1.93447,
        1.96553,
        1.95721,
        2.09399,
        2.03753,
        2.04305,
        1.98315,
        2.04609,
        2.06543,
        2.1002,
        2.14109,
        2.08954,
        2.1187,
        2.11708,
        2.12091,
        2.14676,
        2.13157,
        2.12638,
        2.17891,
        2.22017,
        2.19909,
        2.2024,
        2.20658,
        2.24945,
        2.28706,
        2.26226,
        2.33071,
        2.34533,
        2.42073,
        2.42034,
        2.47735,
        2.5567,
        2.64827,
        2.70342,
        2.75836,
        2.81044,
        2.80682,
        2.78602,
        2.73999,
        2.65353,
        2.63189,
        2.52959,
        2.46647,
        2.38515,
        2.3488,
        2.23831,
        2.21641,
        2.17761,
        2.14984,
        2.16212,
        2.14542,
        2.05138,
        2.04242,
        2.06526,
        2.05373,
        2.05019,
        2.02275,
        2.01456,
        2.0257,
        2.0654,
        2.03076,
        2.01529,
        2.0274,
        2.00819,
        1.98577,
        2.03008,
        1.9865,
        2.02422,
        2.05381,
        2.01524,
        2.01793,
        2.04327,
        2.04722,
        2.031,
        2.02343,
        2.02127,
        2.02588,
        2.03722,
        2.02691,
        2.01212,
        2.02596,
        2.02894,
        2.03633,
        2.0289,
        2.02082,
        2.00423,
        2.01308,
        2.02915,
        2.00258,
        2.04184,
        2.00118,
        2.02689,
        2.02481,
        2.00647,
        2.00652,
        2.03816,
        2.05499,
        2.04297,
        2.0461,
        2.03313,
        2.02109,
        2.02049,
        2.04391,
        2.01707,
        2.01603,
        2.02422,
        2.00027,
        2.01277,
        2.02978,
        2.02976,
        2.03598,
        2.00852,
        2.02795,
        2.01017,
        2.02405,
        2.01992,
        2.04481,
        2.0191,
        2.03166,
        1.98725,
        1.99649,
        2.02519,
        1.98237,
        2.00723,
        2.00356,
        2.00157,
        2.02864,
        2.04174,
        2.01741,
        1.98602,
        2.00772,
        2.05758,
        1.99692,
        1.98063,
        2.03832,
        2.04183,
        1.99218,
        2.01438,
        2.00712,
        2.01214,
        2.05124,
        2.05445,
        2.0016,
        1.97077,
        2.02321,
        1.9898,
        1.95052,
        1.94287,
        1.94323,
        2.02227,
        1.91958,
        1.91391,
        1.94813,
        1.98869,
        1.99671,
        2.14867,
        2.0787,
        2.13768,
        1.98754,
        1.8211,
        2.05855,
        1.97897,
        1.98244,
        2.10474,
        2.17794,
        1.96124,
        1.97415,
        2.04114,
        2.06168,
        2.03883,
        1.98731,
        1.97961,
        2.02632,
        2.02418,
        1.97466,
        1.99568,
        2.0001,
        2.02028,
        2.02403,
        2.01158,
        1.99304,
        1.99386,
        2.03715,
        2.00202,
        1.98016,
        2.03454,
        1.99756,
        1.99149,
        2.02647,
        2.06758,
        2.01196,
        2.00523,
        1.97666,
        1.94157,
        1.99516,
        2.02649,
        2.02758,
        2.03004,
        2.01724,
        2.01393,
        2.02412,
        2.01558,
        1.99141,
        1.99957,
        1.96716,
        1.98514,
        2.0377,
        2.03251,
        2.01629,
        2.05956,
        2.03917,
        2.01449,
        2.01732,
        2.0204,
        2.02395,
        2.0382,
        2.02213,
        1.99658,
        2.01386,
        2.0232,
        2.04363,
        2.02919,
        2.05051,
        2.03891,
        2.01808,
        2.02395,
        2.01068,
        2.00974,
        2.01756,
        2.05437,
        1.99275,
        1.98286,
        2.01159,
        2.0186,
        2.04359,
        2.02278,
        1.99223,
        2.04147,
        2.01531,
        2.02837,
        1.97117,
        1.9888,
        2.0229,
        2.04654,
        2.02146,
        2.0305,
        2.01754,
        2.05219,
        2.005,
        2.006,
        2.06848,
        2.0623,
        2.03219,
        2.03914,
        2.01973,
        2.03942,
        2.03466,
        2.04062,
        2.06166,
        2.05482,
        1.99996,
        2.03039,
        2.02427,
        2.05736,
        2.02046,
        2.00991,
        2.03346,
        2.03534,
        2.01309,
        2.02184,
        2.04865,
        2.04633,
        2.05024,
        2.02123,
        1.97002,
        2.00598,
        2.0327,
        2.01891,
        2.02819,
        2.03777,
        2.03546,
        2.03611,
        2.04075,
        1.97807,
        2.01199,
        2.05621,
        2.05733,
        2.04499,
        1.98174,
        2.01776,
        2.02352,
        2.03335,
        2.03822,
        2.03426,
        1.9925,
        2.00268,
        2.04386,
        2.02679,
        2.01096,
        1.98272,
        2.02299,
        2.01691,
        2.02941,
        2.08301,
        2.03572,
        2.05468,
        2.06097,
        2.01471,
        2.00355,
        2.03202,
        1.96963,
        1.94817,
        1.97709,
        1.99771,
        2.06351,
        2.07505,
        2.01238,
        1.92333,
        1.97139,
        1.9859,
        1.9713,
        2.02704,
        1.97627,
        1.98426,
        1.9178,
        1.98583,
        2.03039,
        2.07879,
        1.96466,
        1.71661,
        2.37141,
        2.09024,
        2.18188,
        2.25316,
        2.01536,
        2.00329,
        1.90167,
        1.87127,
        1.96722,
        2.03451,
        2.06394,
        1.98895,
        2.09601,
        2.14227,
        2.04028,
        2.09645,
        2.06541,
        2.01102,
        1.94891,
        2.14031,
        2.09101,
        2.08899,
        2.07013,
        2.07746,
        2.08101,
        2.08288,
        2.03938,
        1.95528,
        2.09169,
        2.09237,
        2.08359,
        2.09101,
        2.04762,
        2.01523,
        2.06976,
        2.08062,
        1.97947,
        2.05456,
        2.05813,
        2.03479,
        1.93804,
        2.02299,
        2.0963,
        1.94225,
        1.97932,
        1.97151,
        2.04315,
        2.07506,
        2.10492,
        2.09943,
        2.10625,
        2.11721,
        2.08842,
        1.88865,
        1.98383,
        2.07238,
        2.13361,
        2.12699,
        2.00015,
        2.12947,
        2.10725,
        2.02803,
        2.12146,
        2.07947,
        1.99948,
        2.03723,
        2.07042,
        1.98092,
        2.03277,
        1.81137,
        1.85255,
        2.06011,
        2.05801,
        1.91281,
        1.83027,
        2.12574,
        2.12776,
        2.18188,
        2.13248,
        1.94858,
        2.15319,
        2.3253,
        2.21426,
        2.18838,
        2.26976,
        2.26288,
        2.28569,
        2.24479,
        2.3611,
        2.30889,
        2.18495,
        2.27589,
        2.30731,
        2.32086,
        2.39701,
        2.44862,
        2.59788,
        2.66012,
        2.66563,
        2.73792,
        2.77634,
        2.72823,
        2.75212,
        2.70427,
        2.7355,
        2.5963,
        2.53219,
        2.48054,
        2.38952,
        2.33064,
        2.30476,
        2.25715,
        2.23465,
        2.13821,
        2.18894,
        2.1145,
        2.03908,
        2.06168,
        2.05402,
        2.09642,
        2.01928,
        2.00934,
        1.98232,
        2.0201,
        2.02406,
        2.01404,
        2.08996,
        2.04605,
        2.0249,
        2.08373,
        1.98704,
        2.03451,
        2.01129,
        2.02164,
        2.01053,
        2.00501,
        2.00154,
        2.00028,
        1.96362,
        2.01013,
        2.05984,
        1.9984,
        1.99848,
        2.03647,
        2.02289,
        2.02438,
        2.05245,
        2.00436,
        1.98197,
        2.03971,
        1.9931,
        2.04164,
        2.0538,
        2.00464,
        1.99704,
        1.98549,
        2.00923,
        2.02848,
        2.02358,
        2.02732,
        2.02891,
        2.02609,
        2.01247,
        1.99596,
        2.00947,
        2.03123,
        2.03276,
        2.0141,
        1.99697,
        1.96845,
        2.04918,
        2.02207,
        2.01906,
        2.03456,
        2.01955,
        2.01647,
        2.01437,
        2.00045,
        2.00756,
        2.03083,
        2.006,
        2.00776,
        2.03489,
        2.04879,
        1.97264,
        2.00515,
        2.05046,
        2.02621,
        1.99006,
        1.99222,
        1.96098,
        2.01019,
        1.98286,
        2.00933,
        1.99673,
        1.98293,
        2.07033,
        2.02336,
        1.97809,
        1.95,
        1.99352,
        2.01973,
        2.00567,
        2.01694,
        2.01653,
        2.02505,
        1.99709,
        1.99808,
        2.0329,
        2.0006,
        2.00602,
        1.99133,
        2.02516,
        1.96798,
        1.98562,
        1.98275,
        1.9926,
        1.96648,
        2.00137,
        2.03815,
        1.99048,
        2.04846,
        2.01396,
        2.01569,
        1.99395,
        1.99925,
        1.96399,
        1.98607,
        2.00238,
        2.0337,
        2.08576,
        2.07864,
        2.03062,
        1.94379,
        2.07009,
        1.99436,
        2.04458,
        1.98177,
        2.00903,
        1.95609,
        1.96432,
        1.97431,
        2.02673,
        2.03003,
        1.89889,
        1.96373,
        1.86227,
        1.85114,
        1.99081,
        2.01436,
        1.90906,
        1.94732,
        1.96961,
        2.08229,
        2.04364,
        2.2349,
        1.79304,
        1.99353,
        1.93004,
        1.89,
        1.89646,
        1.93025,
        1.9664,
        1.96758,
        2.03176,
        2.03616,
        1.92757,
        2.0305,
        1.96491,
        2.0025,
        1.98142,
        1.99464,
        1.99928,
        2.02578,
        1.93902,
        1.99717,
        1.96007,
        1.94605,
        1.99905,
        2.01805,
        1.99102,
        1.98606,
        1.92097,
        1.8864,
        2.01834,
        2.01696,
        1.93732,
        1.98344,
        2.07262,
        1.99922,
        1.96422,
        1.99935,
        2.00493,
        1.94127,
        1.93901,
        2.02649,
        2.0026,
        2.02777,
        2.06422,
        1.96807,
        1.96417,
        1.97278,
        1.9682,
        2.01266,
        1.979,
        2.0391,
        2.02069,
        2.00897,
        2.01929,
        2.03166,
        2.00613,
        2.01867,
        2.03216,
        1.98399,
        2.00709,
        2.01733,
        2.0598,
        2.02838,
        2.03834,
        2.04222,
        2.02997,
        2.01468,
        2.00068,
        2.05039,
        2.02931,
        2.06424,
        2.05771,
        1.99517,
        1.97812,
        2.0193,
        2.02653,
        1.9831,
        2.0498,
        2.04897,
        1.99866,
        1.98438,
        2.02423,
        2.03146,
        2.02248,
        1.98498,
        1.97037,
        2.05185,
        2.03029,
        2.06357,
        1.99557,
        1.99668,
        2.03947,
        2.00552,
        2.03589,
        1.98884,
        2.02851,
        2.01084,
        2.01841,
        2.08868,
        2.03603,
        1.98485,
        2.01534,
        2.0428,
        2.04952,
        2.03783,
        1.98076,
        1.98776,
        2.00872,
        2.01866,
        1.99122,
        2.01649,
        2.01261,
        2.03259,
        2.01672,
        2.03055,
        2.06415,
        1.99738,
        2.04112,
        1.9949,
        2.01961,
        1.95416,
        1.98375,
        2.08106,
        1.98142,
        2.01473,
        2.06156,
        2.04126,
        2.06804,
        2.04576,
        1.98799,
        1.99438,
        2.0077,
        1.96619,
        2.01583,
        2.04555,
        2.08976,
        2.08538,
        2.07116,
        2.02455,
        2.0526,
        2.07793,
        2.09552,
        2.04669,
        2.03273,
        2.03505,
        2.04567,
        2.03042,
        2.11122,
        2.07002,
        2.13296,
        2.10405,
        2.12159,
        2.10051,
        2.18054,
        2.13841,
        2.24523,
        2.0562,
        2.09252,
        2.02829,
        2.06762,
        2.08351,
        1.92294,
        1.8897,
        2.01832,
        1.93097,
        2.05169,
        2.02106,
        2.03746,
        1.94016,
        1.92796,
        1.97612,
        2.02036,
        2.0296,
        null,
        1.99817,
        1.98196,
        2.0241,
        2.04231,
        2.00159,
        2.01847,
        2.04405,
        2.03633,
        2.02739,
        2.01793,
        2.02193,
        2.03478,
        2.02051,
        2.02703,
        2.01994,
        2.0443,
        2.0218,
        2.01476,
        1.98727,
        1.99948,
        2.03719,
        2.01157,
        2.0195,
        1.99372,
        2.00664,
        2.02517,
        1.99316,
        2.01253,
        2.02269,
        2.00176,
        1.98179,
        2.00537,
        2.00971,
        2.01973,
        2.01436,
        2.03681,
        2.00232,
        1.98198,
        1.99417,
        1.9809,
        2.00663,
        2.02278,
        2.00866,
        2.04148,
        2.02492,
        2.02173,
        2.01416,
        2.00374,
        2.01041,
        2.02981,
        2.00523,
        1.97399,
        1.93736,
        1.94705,
        1.97458,
        1.98853,
        1.9723,
        1.98571,
        1.97575,
        1.97984,
        2.01496,
        2.01788,
        1.99831,
        1.981,
        1.98187,
        1.99487,
        1.97855,
        1.96855,
        2.01192,
        1.99355,
        2.04091,
        2.00463,
        1.93308,
        1.92633,
        1.99186,
        2.04258,
        2.03221,
        1.97891,
        1.93196,
        1.89004,
        1.87941,
        1.89428,
        1.94252,
        1.91704,
        1.80331,
        1.98686,
        2.07349,
        2.03806,
        1.98062,
        1.99337,
        1.96216,
        1.98515,
        2.00151,
        1.97124,
        1.97662,
        1.9966,
        1.96923,
        1.95098,
        1.94328,
        1.93885,
        1.96263,
        2.05834,
        2.06137,
        2.05968,
        2.02426,
        2.00761,
        2.0074,
        1.95546,
        1.9771,
        1.99339,
        1.98062,
        2.00377,
        2.00145,
        2.00417,
        2.02429,
        2.02785,
        1.97158,
        2.01055,
        2.03459,
        2.02201,
        2.01014,
        2.02791,
        2.00788,
        2.00776,
        2.01783,
        2.01282,
        2.04706,
        2.05915,
        2.0274,
        2.03908,
        2.04876,
        2.01934,
        1.99615,
        1.97057,
        2.01876,
        2.01229,
        2.01268,
        2.03377,
        2.03067,
        2.03983,
        2.07539,
        2.06789,
        2.09982,
        2.08992,
        2.03283,
        2.01413,
        2.01542,
        2.02025,
        2.03465,
        2.01867,
        2.02509,
        2.02263,
        2.01574,
        2.03652,
        2.03831,
        2.03004,
        2.02588,
        2.03281,
        2.04135,
        1.9934,
        2.013,
        2.02186,
        2.0072,
        2.01541,
        2.00798,
        2.01477,
        2.03954,
        2.02659,
        1.9985,
        2.00832,
        1.98507,
        2.02381,
        2.03029,
        2.02868,
        2.04002,
        2.03189,
        1.99477,
        2.0002,
        2.02142,
        2.03814,
        2.06092,
        2.04869,
        2.03464,
        2.01787,
        1.98089,
        1.99941,
        1.99035,
        1.98885,
        2.05602,
        2.03082,
        2.02491,
        2.05582,
        2.04209,
        1.99908,
        1.99006,
        1.97942,
        1.99745,
        1.99664,
        1.98122,
        2.00608,
        2.02388,
        2.02965,
        2.00314,
        1.95905,
        1.97434,
        2.01751,
        2.00206,
        2.02934,
        2.00786,
        2.0052,
        1.97318,
        1.99758,
        1.99259,
        2.02013,
        2.02958,
        2.02234,
        2.00092,
        1.99598,
        1.98773,
        2.01363,
        2.04541,
        2.04283,
        1.97706,
        2.02701,
        2.01432,
        1.97575,
        2.02317,
        2.00185,
        2.03137,
        2.02538,
        1.91114,
        1.90613,
        1.89811,
        2.00449,
        1.97366,
        2.02111,
        1.92678,
        1.91291,
        2.03001,
        1.91264,
        1.92399,
        2.0195,
        1.94128,
        1.9927,
        2.00184,
        1.91551,
        1.9573,
        1.99645,
        2.01721,
        2.0158,
        1.98367,
        1.98175,
        1.99598,
        2.0255,
        1.97863,
        1.98956,
        1.99483,
        2.01536,
        2.04157,
        2.01723,
        1.96191,
        1.97715,
        2.01762,
        2.00016,
        2.02336,
        2.00952,
        2.03052,
        2.03901,
        2.05598,
        2.05256,
        2.01769,
        2.02402,
        2.02505,
        1.96602,
        1.99331,
        2.00701,
        1.99097,
        2.04108,
        1.99671,
        2.00165,
        2.05845,
        2.02857,
        2.01858,
        2.04581,
        2.03629,
        2.00646,
        2.0233,
        2.02301,
        1.96692,
        1.99603,
        2.02861,
        2.04483,
        2.00321,
        2.00721,
        2.01813,
        2.03815,
        2.00066,
        1.98452,
        2.01865,
        2.01107,
        1.96795,
        2.01542,
        1.99813,
        2.00887,
        1.99172,
        2.01974,
        2.01882,
        1.98565,
        1.98829,
        2.01825,
        2.01141,
        2.02831,
        2.02442,
        2.01805,
        1.99946,
        2.03581,
        2.03302,
        2.0401,
        2.01535,
        2.04039,
        2.08263,
        2.07222,
        2.0313,
        2.01828,
        1.98837,
        2.01962,
        2.00341,
        2.02289,
        2.05231,
        2.06684,
        2.03813,
        2.06702,
        2.04484,
        2.05341,
        2.03987,
        2.04007,
        2.01305,
        2.01912,
        2.04492,
        2.05391,
        1.99789,
        1.99816,
        2.03982,
        2.04818,
        2.00036,
        1.80123,
        1.97415,
        2.02447,
        2.02567,
        2.01571,
        1.98976,
        2.00806,
        2.0029,
        1.99616,
        2.03034,
        2.04974,
        2.01242,
        2.02068,
        2.05814,
        2.01139,
        1.98138,
        1.99577,
        2.03838,
        2.03783,
        2.03375,
        2.05388,
        2.00081,
        1.99774,
        2.02263,
        2.01198,
        2.03291,
        1.99667,
        2.02995,
        2.06187,
        1.98813,
        2.04248,
        2.01067,
        2.09087,
        2.05468,
        2.06111,
        2.06385,
        2.10225,
        2.1217,
        2.1093,
        2.13781,
        2.05802,
        2.17368,
        2.22703,
        2.20732,
        2.25104,
        2.1989,
        2.07535,
        2.19706,
        2.27496,
        2.08945,
        2.1423,
        2.26651,
        2.02532,
        2.03511,
        1.98075,
        2.02646,
        2.03744,
        2.02197,
        2.02906,
        2.02887,
        1.99753,
        1.98349,
        1.95206,
        1.99623,
        1.99606,
        1.9443,
        1.9925,
        1.98254,
        2.01979,
        2.01159,
        2.0336,
        1.99486,
        2.00573,
        1.96422,
        1.98152,
        2.00673,
        2.02029,
        1.99014,
        1.99528,
        1.99052,
        1.99329,
        2.00405,
        1.98168,
        2.02656,
        2.00442,
        2.02223,
        2.03825,
        2.02077,
        2.009,
        2.04045,
        2.00781,
        1.99662,
        2.0059,
        2.03242,
        2.01697,
        2.03613,
        2.0228,
        2.00287,
        1.99929,
        2.00126,
        1.99937,
        2.03093,
        2.00857,
        2.01979,
        2.01673,
        1.99513,
        2.03745,
        2.01633,
        1.99064,
        2.0134,
        1.99004,
        1.98901,
        1.97536,
        2.00357,
        1.94394,
        1.96502,
        1.9891,
        1.99734,
        2.0211,
        2.03791,
        1.98712,
        2.03731,
        2.03742,
        2.04694,
        2.04692,
        2.03174,
        2.04848,
        2.06314,
        2.0261,
        2.02293,
        2.00647,
        2.02295,
        2.0306,
        2.02605,
        2.02316,
        1.99224,
        2.02345,
        2.02993,
        2.01227,
        2.02935,
        2.02145,
        2.01397,
        2.04499,
        2.04002,
        2.00923,
        2.02503,
        2.02422,
        2.00548,
        2.02561,
        2.01251,
        2.0036,
        2.01779,
        2.026,
        2.02517,
        2.02939,
        1.98806,
        1.99515,
        2.0183,
        1.99902,
        2.02679,
        2.00473,
        2.01178,
        2.02365,
        1.98266,
        2.02409,
        2.00067,
        1.9956,
        1.98856,
        2.02718,
        2.0382,
        2.02632,
        2.01499,
        2.01589,
        2.0068,
        2.02097,
        2.03699,
        2.01355,
        2.01757,
        2.02738,
        1.9635,
        1.99986,
        2.03738,
        2.02154,
        2.02951,
        2.02314,
        2.00396,
        1.99986,
        1.97325,
        2.01832,
        2.02503,
        2.00867,
        1.9678,
        2.02405,
        2.00437,
        2.00676,
        1.99058,
        2.00393,
        2.01916,
        2.00203,
        1.97269,
        1.98456,
        2.01259,
        1.94957,
        1.99656,
        1.98051,
        1.9509,
        2.00205,
        1.94385,
        1.95497,
        1.85336,
        1.85654,
        1.86112,
        2.04676,
        1.85126,
        1.91418,
        2.00251,
        1.92321,
        2.04031,
        2.16506,
        2.02916,
        2.01842,
        1.96596,
        1.99823,
        2.0109,
        2.01037,
        2.00872,
        1.97083,
        1.98786,
        2.00052,
        2.02327,
        2.02561,
        2.00609,
        2.02057,
        2.00198,
        2.01702,
        1.99865,
        2.00071,
        1.97127,
        1.98565,
        1.96412,
        1.97346,
        1.98887,
        2.00306,
        2.02427,
        2.03383,
        2.05259,
        2.02677,
        2.03825,
        2.0266,
        2.01416,
        2.01598,
        2.00551,
        2.01649,
        1.98571,
        1.99557,
        1.99404,
        2.00142,
        1.99583,
        1.97189,
        1.9823,
        2.02788,
        2.03411,
        2.00358,
        2.01072,
        2.03598,
        1.99777,
        2.00093,
        2.03664,
        1.99395,
        1.99648,
        1.98417,
        1.99185,
        2.00804,
        1.99706,
        1.99655,
        2.00652,
        2.05264,
        2.02642,
        2.00051,
        2.01176,
        1.97781,
        1.9862,
        1.99595,
        2.04255,
        2.03472,
        2.0293,
        2.02682,
        2.00182,
        2.0304,
        2.01173,
        2.01953,
        1.99714,
        2.03264,
        2.03707,
        2.02824,
        2.01039,
        2.0164,
        2.00534,
        2.00914,
        2.00296,
        2.01749,
        2.02567,
        2.04248,
        2.00048,
        1.9874,
        1.99326,
        2.00133,
        1.96803,
        2.01461,
        2.02679,
        2.01694,
        2.02593,
        2.00229,
        1.9952,
        2.0183,
        2.03672,
        1.98894,
        1.99867,
        2.02543,
        1.99199,
        1.97679,
        1.99398,
        2.04254,
        2.04354,
        2.01066,
        2.02354,
        2.02987,
        2.05184,
        2.06275,
        2.03915,
        2.00943,
        2.01941,
        2.01228,
        2.02699,
        2.03824,
        2.02853,
        2.04295,
        2.04107,
        2.02221,
        2.03506,
        2.00766,
        1.99407,
        2.00491,
        1.99541,
        2.02716,
        1.99453,
        2.01624,
        1.98458,
        2.03165,
        2.04858,
        2.00786,
        1.98737,
        2.00078,
        2.01091,
        1.9931,
        2.01766,
        2.01748,
        2.00224,
        2.01628,
        2.00174,
        1.9814,
        1.96236,
        2.00677,
        1.97898,
        1.97218,
        1.93979,
        1.90901,
        1.92462,
        1.94982,
        1.96744,
        2.00483,
        1.94567,
        1.95855,
        1.97346,
        1.92226,
        1.85402,
        1.7179,
        2.06272,
        2.00986,
        1.87963,
        1.97201,
        2.00958,
        2.02337,
        2.04722,
        2.04816,
        2.05881,
        2.01426,
        1.95575,
        1.91139,
        1.99071,
        1.99633,
        2.04807,
        2.00258,
        2.00684,
        2.01265,
        2.03385,
        2.01443,
        1.97529,
        1.9814,
        2.01823,
        2.05226,
        1.99213,
        1.99222,
        1.98839,
        1.97864,
        1.98347,
        1.97084,
        1.98142,
        1.97667,
        1.99297,
        1.99416,
        2.03524,
        2.00869,
        1.96777,
        1.99218,
        1.99285,
        2.00848,
        2.014,
        2.02577,
        2.05967,
        2.04254,
        2.02184,
        2.03994,
        2.0242,
        2.0392,
        1.99757,
        2.01197,
        2.00553,
        1.99069,
        2.03933,
        1.97909,
        1.97743,
        2.0344,
        2.02934,
        2.01353,
        1.98998,
        1.97409,
        1.99939,
        2.0459,
        2.04749,
        2.04335,
        2.02702,
        2.03085,
        2.03383,
        2.0602,
        2.02253,
        2.04591,
        2.03809,
        2.05647,
        1.99082,
        2.02367,
        2.0105,
        1.99788,
        1.98928,
        2.02599,
        1.99542,
        2.02269,
        2.01326,
        1.98834,
        2.00018,
        1.96872,
        1.97887,
        2.01091,
        1.99069,
        2.01245,
        2.05906,
        2.04346,
        1.99661,
        1.99524,
        2.04366,
        2.01253,
        1.99503,
        2.01163,
        2.0053,
        2.00257,
        2.00863,
        1.99486,
        1.98044,
        1.99011,
        1.98481,
        1.96692,
        1.98347,
        1.98777,
        2.01039,
        2.0192,
        2.01323,
        2.01631,
        2.03163,
        2.03313,
        1.99251,
        1.98221,
        2.00703,
        1.99342,
        1.97271,
        1.99781,
        2.02218,
        2.03086,
        1.98694,
        1.96266,
        2.0107,
        2.02066,
        2.02277,
        2.0214,
        2.02474,
        2.03889,
        2.01857,
        1.98641,
        1.98941,
        1.9843,
        2.01247,
        2.05252,
        2.03366,
        1.97632,
        2.00382,
        1.9985,
        1.97851,
        1.98798,
        2.04898,
        2.07034,
        2.04635,
        2.0657,
        2.06803,
        2.07099,
        2.09053,
        2.0883,
        2.13523,
        2.17769,
        2.19655,
        2.15006,
        2.18627,
        2.18533,
        2.18113,
        2.18042,
        2.21221,
        2.20605,
        2.24404,
        2.29157,
        2.32826,
        2.34468,
        2.51843,
        2.60874,
        2.3697,
        2.4031,
        2.46926,
        2.46339,
        2.35938,
        2.20206,
        2.09967,
        1.91092,
        2.09702,
        2.00921,
        2.05341,
        1.99998,
        2.02122,
        2.01836,
        2.01853,
        1.97422,
        2.01514,
        2.02419,
        2.01598,
        2.01826,
        2.01889,
        1.97044,
        1.95846,
        1.96,
        1.98512,
        2.0206,
        2.00238,
        1.98712,
        2.00103,
        2.00334,
        2.01909,
        2.022,
        1.99561,
        1.9883,
        2.02671,
        2.03997,
        2.04011,
        2.01549,
        1.97636,
        1.94266,
        1.96004,
        1.96458,
        1.96092,
        1.97561,
        1.99315,
        2.00503,
        2.01394,
        2.00987,
        1.97809,
        1.96673,
        1.97287,
        1.99029,
        1.9897,
        2.00967,
        2.00232,
        1.98609,
        2.00965,
        1.99122,
        2.0176,
        2.00515,
        1.98826,
        1.99143,
        1.98784,
        1.97744,
        2.01961,
        2.00799,
        1.98989,
        1.9983,
        1.98695,
        1.99669,
        2.02454,
        2.02994,
        2.01339,
        1.98617,
        1.94777,
        1.9834,
        1.97597,
        1.98321,
        2.00012,
        2.01381,
        2.00064,
        2.0018,
        2.01787,
        2.02683,
        1.97067,
        1.9914,
        1.99023,
        2.01222,
        2.02596,
        2.0213,
        2.01015,
        2.00669,
        1.98745,
        2.00193,
        1.99256,
        1.97336,
        1.99397,
        1.99542,
        2.02986,
        2.02229,
        2.00803,
        2.03014,
        2.03033,
        2.01816,
        2.03697,
        2.05284,
        2.02138,
        2.02085,
        2.0066,
        2.00912,
        2.02758,
        2.03786,
        2.04832,
        2.08413,
        2.07677,
        2.04631,
        2.02043,
        2.0198,
        2.03873,
        2.01665,
        2.02039,
        2.04214,
        2.01545,
        2.01524,
        1.99059,
        1.98595,
        2.00308,
        2.0437,
        2.02229,
        2.0102,
        1.99797,
        1.97963,
        2.01038,
        1.99179,
        2.01747,
        1.99322,
        2.00481,
        1.98529,
        1.9821,
        1.9983,
        1.99396,
        1.98326,
        1.97513,
        1.95819,
        2.00544,
        1.98535,
        1.99174,
        2.032,
        2.03024,
        2.0049,
        2.00819,
        2.00847,
        2.02758,
        1.99519,
        1.99433,
        1.96756,
        1.98929,
        1.96502,
        2.00463,
        2.00532,
        1.99404,
        2.00637,
        1.95347,
        1.95516,
        1.9843,
        2.00198,
        1.99152,
        1.97852,
        1.93121,
        1.94858,
        1.93848,
        1.93623,
        1.94029,
        1.97944,
        2.01739,
        1.92886,
        1.88619,
        1.87367,
        1.88215,
        2.09425,
        2.06119,
        1.97919,
        1.97994,
        1.94744,
        1.9787,
        2.027,
        1.99259,
        1.9563,
        1.97514,
        2.00761,
        1.98057,
        2.01025,
        2.00353,
        1.99651,
        1.96745,
        2.00361,
        2.02951,
        2.02263,
        2.02419,
        2.02973,
        2.02839,
        2.00071,
        2.00722,
        2.00929,
        2.01444,
        1.9826,
        1.98542,
        1.99577,
        2.0386,
        2.04791,
        2.05126,
        2.02979,
        2.00047,
        2.03695,
        1.99518,
        2.00995,
        1.99028,
        2.00225,
        1.98262,
        2.01999,
        2.02368,
        2.01959,
        2.02547,
        1.9933,
        2.00093,
        2.01848,
        2.0354,
        2.03638,
        2.01897,
        2.00215,
        1.99731,
        2.01013,
        2.00128,
        2.02682,
        1.98609,
        2.00752,
        2.00241,
        2.03814,
        2.02423,
        2.01282,
        2.02744,
        2.00471,
        2.01666,
        2.0388,
        2.02532,
        2.00482,
        2.02691,
        2.01422,
        2.0315,
        2.00788,
        1.99457,
        2.00149,
        2.02967,
        2.02866,
        2.02427,
        2.02565,
        2.02314,
        1.99804,
        2.01855,
        2.01557,
        2.02082,
        1.9972,
        2.01059,
        1.99536,
        2.00642,
        2.03377,
        2.02757,
        2.0089,
        1.99533,
        2.01609,
        2.03937,
        2.02667,
        2.01051,
        2.01899,
        1.97767,
        1.99835,
        1.99495,
        2.04463,
        2.0597,
        2.03763,
        2.03508,
        2.03237,
        2.01708,
        2.02735,
        2.00762,
        1.99213,
        1.99059,
        2.00591,
        2.00935,
        1.99393,
        2.00736,
        2.00985,
        2.00276,
        2.02716,
        1.98773,
        1.99286,
        2.00347,
        2.0031,
        1.98214,
        2.00295,
        2.03107,
        2.02873,
        1.98705,
        2.0037,
        2.01801,
        2.04041,
        1.99435,
        2.01913,
        2.01352,
        2.03165,
        2.01262,
        2.0258,
        2.01902,
        1.979,
        2.01315,
        2.01263,
        2.01484,
        2.02773,
        2.03378,
        2.04858,
        2.0556,
        2.02739,
        2.01609,
        2.02616,
        2.01243,
        2.00607,
        1.96256,
        1.98107,
        2.0162,
        2.02894,
        2.03093,
        1.99562,
        2.0022,
        2.03182,
        1.9774,
        1.9593,
        1.97401,
        1.96395,
        1.97262,
        2.00339,
        1.96927,
        1.95219,
        1.94848,
        1.92727,
        1.99306,
        2.02242,
        1.8969,
        1.93024,
        1.88236,
        1.93858,
        1.79568,
        1.98472,
        2.05155,
        2.19059,
        2.04255,
        2.02033,
        2.02074,
        1.99134,
        2.05769,
        2.07428,
        1.94786,
        1.91776,
        2.01018,
        2.02005,
        2.01138,
        1.9911,
        2.00051,
        1.96475,
        1.97385,
        2.03407,
        2.03136,
        2.06281,
        2.02701,
        2.03495,
        2.04218,
        2.04095,
        1.99284,
        2.0021,
        1.98623,
        2.02192,
        2.01376,
        2.05956,
        2.05029,
        2.06146,
        2.05258,
        2.03045,
        2.02714,
        2.00552,
        1.9956,
        2.03083,
        1.99369,
        2.01713,
        2.03698,
        2.04472,
        2.05184,
        2.03383,
        2.0097,
        2.01617,
        2.01623,
        1.9606,
        2.01617,
        2.0479,
        2.03173,
        2.0037,
        2.02011,
        2.02692,
        1.99405,
        1.98845,
        2.01672,
        2.03621,
        1.99405,
        1.97592,
        2.01727,
        2.01809,
        1.98125,
        2.0003,
        1.99879,
        2.02774,
        2.06059,
        2.02387,
        2.02289,
        1.99834,
        1.98816,
        2.01523,
        2.00237,
        1.99724,
        1.99455,
        1.96746,
        1.99029,
        2.01381,
        2.01354,
        1.97313,
        2.00427,
        1.99791,
        1.99839,
        2.00823,
        2.04292,
        2.05408,
        2.01616,
        2.00875,
        1.98773,
        2.05582,
        2.07427,
        2.01076,
        1.97637,
        2.00836,
        1.97664,
        2.0169,
        2.02488,
        1.9947,
        2.04786,
        2.05746,
        2.00185,
        1.9699,
        2.00258,
        2.01618,
        2.04767,
        1.98627,
        1.9925,
        2.02182,
        1.97943,
        1.81188,
        1.96416,
        2.05579,
        2.15967,
        2.18719,
        1.98918,
        2.07795,
        2.21606,
        2.17211,
        2.15104,
        1.95835,
        1.94879,
        2.02646,
        2.09076,
        2.038,
        2.04992,
        2.00039,
        2.04201,
        2.07916,
        2.0573,
        1.98317,
        2.04139,
        1.98935,
        2.03647,
        2.00496,
        2.00396,
        2.02456,
        1.97616,
        2.00377,
        1.99792,
        1.99837,
        2.03022,
        2.03299,
        2.11061,
        2.08358,
        2.12049,
        2.08759,
        2.09052,
        2.13513,
        2.15235,
        2.13373,
        2.15865,
        2.20408,
        2.16777,
        2.2224,
        2.21117,
        2.20537,
        2.33259,
        2.31011,
        2.25119,
        2.27097,
        2.34387,
        2.39379,
        2.36374,
        2.38458,
        2.57762,
        2.53309,
        2.5855,
        2.54255,
        2.66952,
        2.60207,
        2.50676,
        2.48747,
        2.06378,
        2.09674,
        2.07078,
        2.13781,
        2.13092,
        2.06217,
        2.06179,
        2.01667,
        2.00226,
        2.01198,
        2.02748,
        2.04288,
        1.99966,
        2.01648,
        2.019,
        1.98577,
        2.00479,
        2.00722,
        2.06206,
        2.02417,
        2.01446,
        2.05388,
        2.0156,
        2.01098,
        2.04912,
        1.99829,
        1.99393,
        1.98755,
        2.04005,
        2.05031,
        2.05064,
        2.04468,
        2.03495,
        2.0065,
        2.00009,
        2.02061,
        2.05922,
        2.02898,
        2.0263,
        2.03204,
        2.005,
        2.03819,
        2.02103,
        2.00946,
        2.02017,
        2.01643,
        1.98759,
        2.02888,
        2.02396,
        2.04868,
        2.04025,
        2.10586,
        2.06961,
        2.06786,
        2.04436,
        2.02552,
        1.99692,
        2.02829,
        2.02663,
        2.03408,
        2.04238,
        2.05305,
        2.0159,
        2.03472,
        1.99047,
        2.00874,
        2.06287,
        1.99585,
        2.00373,
        2.03836,
        2.01318,
        2.00694,
        1.99755,
        1.98233,
        1.96411,
        1.98903,
        2.02616,
        2.04701,
        2.0424,
        2.00105,
        2.01611,
        2.02593,
        1.97852,
        2.01171,
        2.00059,
        1.9879,
        1.99161,
        1.95144,
        1.96722,
        1.97801,
        2.0181,
        2.01659,
        2.01537,
        2.03068,
        1.99354,
        2.03848,
        2.06776,
        1.99078,
        1.98063,
        1.99705,
        1.97627,
        2.01683,
        2.00115,
        2.02562,
        1.99612,
        2.01641,
        2.00818,
        1.94703,
        1.97776,
        2.00645,
        2.02537,
        2.00085,
        1.98478,
        2.01274,
        2.00122,
        1.96448,
        1.961,
        1.97924,
        2.00117,
        1.95572,
        2.00028,
        1.99585,
        2.06061,
        2.05498,
        2.04418,
        2.00987,
        1.98821,
        2.02181,
        2.00425,
        1.98795,
        2.00051,
        1.97242,
        1.99167,
        2.00133,
        2.04312,
        1.98023,
        2.01475,
        1.99935,
        2.0286,
        2.00648,
        1.95228,
        1.97909,
        1.9688,
        1.98318,
        2.00457,
        2.00044,
        1.96907,
        2.01542,
        2.04601,
        2.03418,
        2.04442,
        1.97634,
        1.97879,
        1.99967,
        1.98684,
        1.97677,
        2.03051,
        2.00404,
        2.0049,
        2.01262,
        1.94896,
        1.98834,
        2.02911,
        2.02319,
        1.94934,
        2.00062,
        2.01559,
        2.01681,
        1.96975,
        2.01789,
        1.9777,
        1.95154,
        1.95762,
        1.93407,
        1.96823,
        2.01967,
        1.96099,
        2.04341,
        1.93999,
        1.90446,
        1.90492,
        1.96667,
        1.83751,
        1.71429,
        1.8411,
        2.13401,
        2.02222,
        1.89417,
        1.94942,
        2.00877,
        2.10823,
        1.93143,
        1.92821,
        2.08639,
        2.09537,
        2.04559,
        1.96886,
        2.00064,
        1.98424,
        1.98786,
        1.97865,
        2.00287,
        2.05044,
        2.00999,
        2.01518,
        2.02437,
        2.00374,
        2.01382,
        1.98332,
        2.00609,
        2.05104,
        1.96546,
        1.99587,
        1.92534,
        1.99882,
        1.96382,
        1.90879,
        2.01607,
        2.04273,
        1.85677,
        1.94641,
        1.92919,
        1.9605,
        2.20001,
        1.74747,
        2.11526,
        2.33361,
        2.09366,
        1.92732,
        2.03231,
        2.11278,
        2.11776,
        1.96831,
        1.98272,
        2.09004,
        1.98137,
        2.22863,
        2.02981,
        2.06215,
        2.2028,
        2.08914,
        1.91916,
        1.99489,
        1.93734,
        2.1245,
        2.03679,
        2.05291,
        1.92943,
        1.97869,
        2.0374,
        2.05376,
        2.05177,
        2.04947,
        2.00747,
        1.97431,
        2.02826,
        2.01986,
        2.00022,
        2.03948,
        2.10096,
        2.07069,
        2.10013,
        2.03569,
        1.9403,
        2.04936,
        2.02384,
        1.96822,
        2.01786,
        2.06215,
        2.00891,
        2.02234,
        2.03512,
        2.00339,
        1.996,
        1.99761,
        1.99062,
        2.03479,
        2.03206,
        2.00835,
        1.998,
        2.03009,
        2.02387,
        2.05101,
        2.02528,
        2.01407,
        2.00605,
        2.00547,
        1.97427,
        1.97029,
        1.97606,
        2.0521,
        2.04105,
        2.02778,
        2.00881,
        1.92239,
        1.99636,
        2.00427,
        1.99508,
        2.07501,
        2.01829,
        2.05849,
        2.02595,
        2.0149,
        2.02174,
        2.04902,
        2.02364,
        2.01832,
        1.98878,
        2.04708,
        2.02994,
        1.96945,
        2.01977,
        2.06803,
        2.08259,
        2.08185,
        2.05127,
        2.00347,
        1.97756,
        2.00548,
        2.02238,
        2.05772,
        1.96433,
        2.00975,
        1.93566,
        1.98918,
        1.97507,
        1.94993,
        1.96774,
        2.02166,
        1.91863,
        1.99033,
        1.97197,
        1.77711,
        1.72512,
        2.03614,
        1.98468,
        2.0092,
        2.22114,
        1.93193,
        1.90047,
        2.04703,
        1.95513,
        1.98188,
        2.0702,
        2.03202,
        2.04535,
        2.02679,
        2.03217,
        2.03602,
        2.00529,
        2.07625,
        2.00481,
        2.07085,
        2.05854,
        1.99425,
        2.04082,
        2.01059,
        2.01508,
        2.00665,
        1.99652,
        2.0342,
        2.01074,
        2.04977,
        1.98351,
        2.02636,
        2.02333,
        1.95857,
        2.02829,
        2.07182,
        2.00817,
        2.04207,
        1.9494,
        2.01956,
        2.04203,
        2.03064,
        2.01615,
        1.96414,
        2.04352,
        2.00879,
        1.95484,
        1.98234,
        2.00113,
        1.9833,
        2.02777,
        1.97942,
        1.94898,
        1.9996,
        2.03215,
        2.04129,
        2.06762,
        2.05548,
        1.99749,
        2.02533,
        2.02314,
        2.00639,
        2.00914,
        1.99515,
        1.99394,
        1.99085,
        2.00774,
        1.9839,
        1.96572,
        2.09199,
        2.03905,
        2.0485,
        1.99375,
        2.01136,
        2.01199,
        2.03232,
        2.0353,
        2.03593,
        1.9858,
        2.01812,
        2.04502,
        2.00787,
        2.04662,
        2.06708,
        2.05708,
        2.04157,
        2.04303,
        2.04233,
        2.0405,
        2.07872,
        2.07009,
        2.04195,
        2.05018,
        2.03825,
        2.03868,
        2.05018,
        2.0435,
        2.12028,
        2.0487,
        2.08456,
        2.04495,
        2.01463,
        1.99844,
        2.06961,
        2.0806,
        2.02709,
        2.02223,
        2.05515,
        2.06436,
        2.00881,
        1.99369,
        2.0054,
        1.99441,
        null,
        2.03658,
        1.98649,
        1.99158,
        2.01674,
        2.01511,
        2.02053,
        2.0162,
        1.99168,
        1.98409,
        1.9755,
        2.00911,
        2.00248,
        2.01944,
        2.01224,
        2.04517,
        2.0271,
        2.0196,
        2.008,
        2.00018,
        1.98036,
        2.01185,
        2.00587,
        1.97963,
        1.99587,
        2.02406,
        1.99526,
        1.98384,
        2.05426,
        2.06416,
        2.03566,
        2.0004,
        1.99284,
        2.00117,
        2.0114,
        2.0172,
        2.02111,
        2.0098,
        1.98676,
        2.03204,
        2.03509,
        1.99438,
        1.97231,
        2.01741,
        2.03476,
        2.01359,
        1.97416,
        2.02285,
        2.02791,
        2.00836,
        2.01258,
        2.00621,
        1.99965,
        2.04648,
        2.06999,
        2.01969,
        2.02396,
        2.01077,
        2.01736,
        2.01777,
        2.0012,
        1.99984,
        2.02836,
        2.01375,
        2.06122,
        2.04475,
        2.02748,
        2.02034,
        2.00811,
        2.004,
        2.02037,
        2.01517,
        2.03049,
        2.03008,
        2.00545,
        1.99301,
        2.0124,
        2.04497,
        2.01091,
        2.03169,
        2.04887,
        2.00203,
        2.01036,
        2.00461,
        2.02155,
        2.02383,
        2.02548,
        2.04525,
        2.02085,
        1.97008,
        1.99067,
        2.02054,
        2.05254,
        2.02254,
        2.0338,
        2.02349,
        2.01056,
        2.0279,
        2.01637,
        2.05595,
        2.03039,
        2.00845,
        2.00873,
        1.99929,
        2.0379,
        2.03726,
        2.0349,
        2.00638,
        2.01152,
        1.99049,
        2.03384,
        2.03873,
        2.00929,
        2.01877,
        2.0333,
        2.00804,
        2.01134,
        2.03401,
        2.03074,
        2.03211,
        1.99111,
        2.00654,
        1.99447,
        2.03357,
        2.01059,
        1.99949,
        1.9994,
        1.99603,
        2.01037,
        2.01605,
        1.96431,
        2.00032,
        2.02048,
        1.99025,
        1.99182,
        1.9896,
        1.97519,
        1.98281,
        1.99454,
        2.00755,
        1.98536,
        2.00216,
        2.00507,
        1.97786,
        1.90084,
        1.95254,
        1.99091,
        2.01209,
        2.04656,
        1.99453,
        1.9908,
        1.97618,
        1.98587,
        2.04893,
        2.07103,
        1.98703,
        2.01724,
        2.0112,
        2.0509,
        2.03629,
        1.98736,
        2.01042,
        2.03195,
        2.02119,
        2.01406,
        2.02347,
        2.01721,
        2.00796,
        1.98953,
        2.00959,
        2.01923,
        2.0055,
        2.02461,
        2.02809,
        2.00077,
        1.99169,
        2.03052,
        2.03592,
        2.02445,
        2.03867,
        1.99885,
        1.99705,
        2.00868,
        2.02667,
        2.04642,
        2.0252,
        2.00019,
        2.0105,
        2.01726,
        1.9907,
        2.01132,
        2.02361,
        1.99523,
        1.99031,
        2.02069,
        1.99752,
        1.97205,
        1.98982,
        1.97202,
        1.99429,
        2.02228,
        1.9882,
        1.99599,
        2.03955,
        2.02785,
        1.99959,
        1.98982,
        1.99666,
        2.00254,
        1.97803,
        1.95762,
        2.02961,
        2.03267,
        1.99239,
        1.97082,
        1.98054,
        1.99774,
        1.97849,
        2.01889,
        2.03308,
        2.04544,
        2.07054,
        2.02966,
        1.9873,
        1.98553,
        2.05224,
        2.05111,
        2.01772,
        1.99091,
        1.96854,
        2.09171,
        2.07035,
        2.04554,
        2.07697,
        2.1081,
        1.98111,
        1.97442,
        2.04075,
        2.13467,
        2.20588,
        2.1166,
        1.94709,
        1.98632,
        2.09691,
        2.29209,
        2.27152,
        2.03347,
        2.03322,
        2.1025,
        2.03644,
        2.00595,
        2.0021,
        2.12549,
        2.11014,
        2.10768,
        2.03524,
        1.97964,
        2.07869,
        2.06995,
        2.02342,
        2.03854,
        2.03789,
        2.07499,
        1.94895,
        1.96618,
        2.01027,
        1.99834,
        1.96062,
        2.02244,
        2.02321,
        2.03573,
        2.04536,
        2.01482,
        2.01888,
        2.043,
        2.014,
        1.9547,
        1.98118,
        2.00392,
        1.96861,
        1.99534,
        1.97643,
        1.98571,
        2.04655,
        2.03795,
        1.99324,
        2.02011,
        2.05842,
        2.05152,
        1.97615,
        2.0019,
        2.01266,
        2.06088,
        2.06164,
        2.04213,
        1.99649,
        2.0767,
        2.0817,
        2.10045,
        2.15154,
        2.10068,
        2.14902,
        2.07162,
        2.15715,
        2.2207,
        2.20196,
        2.19915,
        2.23714,
        2.27304,
        2.28446,
        2.3017,
        2.39249,
        2.43397,
        2.48289,
        2.50958,
        2.53452,
        2.53974,
        2.53755,
        2.50948,
        2.45803,
        2.4133,
        2.33626,
        2.27606,
        2.23704,
        2.20215,
        2.16939,
        2.14457,
        2.10612,
        2.06744,
        2.04995,
        2.04615,
        2.04515,
        2.03775,
        2.04438,
        2.00559,
        2.02553,
        2.12391,
        2.03576,
        1.99885,
        2.01424,
        2.0285,
        2.00961,
        2.01148,
        2.01981,
        2.04529,
        1.9775,
        2.00811,
        2.03371,
        2.05352,
        1.97051,
        1.95224,
        1.99843,
        1.98901,
        1.99678,
        2.01375,
        2.0134,
        2.0094,
        1.99945,
        2.02325,
        2.01147,
        1.99933,
        2.01971,
        1.99593,
        2.01099,
        1.99892,
        1.98863,
        2.00225,
        2.01387,
        2.01997,
        2.00196,
        1.97757,
        2.01034,
        2.0474,
        2.01227,
        2.02319,
        2.02346,
        1.98861,
        1.98764,
        1.97188,
        1.99297,
        1.98481,
        1.98201,
        2.0164,
        1.98493,
        2.00485,
        2.00779,
        2.00297,
        2.00786,
        2.02207,
        2.00612,
        2.00753,
        1.99489,
        2.01676,
        2.02179,
        1.9834,
        2.00112,
        2.0281,
        2.02401,
        2.01449,
        1.99652,
        2.02087,
        1.99854,
        2.01075,
        2.01631,
        1.99727,
        1.98095,
        2.01086,
        2.0076,
        2.00071,
        2.00662,
        1.9971,
        1.99373,
        2.02552,
        1.98726,
        2.01368,
        2.00009,
        1.99046,
        1.98503,
        2.04313,
        2.04097,
        2.0062,
        2.027,
        2.00165,
        2.00816,
        2.02351,
        2.0249,
        2.01672,
        2.01601,
        2.01584,
        1.98886,
        2.01134,
        1.99998,
        2.0208,
        2.01049,
        2.0193,
        2.04993,
        2.03445,
        2.05438,
        2.04762,
        2.06505,
        2.02914,
        2.03389,
        2.03287,
        2.03968,
        2.0122,
        2.01757,
        2.0388,
        2.04744,
        2.01556,
        2.01812,
        2.01968,
        2.00396,
        2.01073,
        2.03649,
        2.01012,
        2.00154,
        2.0293,
        2.01503,
        2.02893,
        2.02964,
        2.00494,
        2.02832,
        2.01175,
        2.03383,
        2.05517,
        2.02517,
        2.02058,
        2.00661,
        2.01382,
        2.01651,
        1.9896,
        1.98632,
        1.97182,
        2.00388,
        2.0292,
        2.00661,
        2.01528,
        1.99708,
        1.98136,
        2.02704,
        2.00997,
        1.97579,
        1.9807,
        2.02531,
        2.04453,
        2.02974,
        1.99029,
        2.01163,
        2.02964,
        2.02226,
        1.99202,
        1.99274,
        2.00369,
        1.97883,
        1.98596,
        2.01259,
        2.0033,
        2.0109,
        1.99379,
        2.01423,
        2.04156,
        2.04257,
        2.03469,
        2.02706,
        2.00525,
        1.99213,
        2.02738,
        2.0104,
        2.01606,
        2.00361,
        2.00603,
        1.97474,
        2.02139,
        1.99428,
        2.03868,
        2.03185,
        2.01734,
        2.03949,
        2.05364,
        2.02565,
        2.00288,
        2.03357,
        2.04522,
        1.99317,
        2.0269,
        2.03929,
        2.03517,
        2.02353,
        2.03447,
        2.0447,
        2.02944,
        2.03905,
        2.04573,
        2.02492,
        2.04776,
        2.03256,
        2.01775,
        2.03554,
        2.03136,
        2.02527,
        2.01796,
        1.98134,
        2.02522,
        2.02173,
        2.01211,
        2.01869,
        2.00494,
        1.96741,
        1.98681,
        1.98143,
        2.00194,
        2.00069,
        2.01053,
        1.99004,
        1.99519,
        2.06222,
        2.00363,
        2.00287,
        2.00973,
        2.00715,
        2.00858,
        2.01392,
        2.00455,
        2.02641,
        2.05665,
        2.02995,
        2.01556,
        2.00748,
        2.02517,
        2.00943,
        1.98036,
        2.00619,
        2.03677,
        2.00417,
        1.99218,
        1.99547,
        2.00688,
        2.03464,
        2.05757,
        2.01339,
        2.00426,
        1.9884,
        2.00705,
        2.02048,
        2.01865,
        2.00543,
        2.02498,
        2.01589,
        2.04205,
        2.02532,
        2.00687,
        1.99729,
        2.02691,
        1.99393,
        1.97435,
        1.99738,
        1.99763,
        2.01414,
        1.95586,
        1.98822,
        2.03899,
        2.02895,
        2.02465,
        2.0019,
        1.97567,
        1.99098,
        2.02522,
        2.02415,
        2.00007,
        1.99752,
        2.01368,
        2.03176,
        2.02981,
        2.01835,
        2.02327,
        2.01475,
        2.01894,
        2.01045,
        2.06157,
        2.00235,
        2.01987,
        2.0596,
        2.06326,
        2.01661,
        1.97431,
        2.01825,
        2.07224,
        2.05314,
        2.09989,
        2.03931,
        1.99592,
        2.20709,
        2.13889,
        2.11992,
        2.11569,
        2.05204,
        2.10145,
        2.13072,
        2.03387,
        1.99955,
        2.06226,
        2.02614,
        1.99742,
        2.00963,
        2.04601,
        2.01149,
        2.00504,
        1.98735,
        2.04051,
        2.04967,
        2.00422,
        2.06378,
        2.01948,
        2.02252,
        2.04417,
        2.04256,
        2.00505,
        2.06447,
        2.07904,
        2.05079,
        2.0407,
        2.00212,
        2.03739,
        2.03807,
        2.00775,
        2.01859,
        2.03408,
        2.02314,
        2.00535,
        2.03366,
        2.02934,
        1.99698,
        2.0294,
        2.01409,
        2.01614,
        1.9974,
        1.99806,
        1.99971,
        1.99162,
        1.97844,
        1.99999,
        2.00616,
        2.00804,
        2.01593,
        2.02529,
        2.03843,
        2.00863,
        2.01734,
        2.0192,
        2.03845,
        2.02338,
        2.03595,
        2.04241,
        2.0564,
        2.01231,
        2.03382,
        2.06172,
        2.04762,
        2.02983,
        2.03574,
        1.99889,
        2.00383,
        1.98927,
        2.00609,
        1.99647,
        1.95566,
        2.02267,
        2.00654,
        2.08106,
        2.00593,
        1.98953,
        2.00209,
        1.99441,
        2.01961,
        2.00774,
        2.03806,
        2.03934,
        2.03661,
        2.04107,
        2.04757,
        2.05417,
        2.01689,
        2.02344,
        2.04594,
        2.05651,
        2.05063,
        2.03569,
        2.03159,
        2.03423,
        2.0221,
        2.01079,
        2.04292,
        2.03807,
        2.05004,
        2.02884,
        2.02501,
        2.0211,
        2.03231,
        2.02955,
        2.00441,
        1.99256,
        2.03204,
        2.01754,
        1.99034,
        2.00848,
        2.01657,
        2.01109,
        2.0369,
        2.0341,
        2.05486,
        2.08138,
        2.03482,
        2.02149,
        2.01817,
        2.00177,
        2.00424,
        1.99826,
        2.01342,
        2.05514,
        2.02552,
        2.0254,
        2.01646,
        2.00462,
        2.01184,
        1.99322,
        2.00544,
        2.00193,
        1.99214,
        2.00057,
        1.97278,
        2.00327,
        2.01873,
        1.99449,
        2.00026,
        2.00698,
        2.0161,
        2.02619,
        1.98931,
        2.01382,
        2.0422,
        2.03344,
        2.01493,
        2.02529,
        2.00441,
        2.01159,
        2.01667,
        2.01074,
        2.00258,
        2.01587,
        2.00398,
        1.99634,
        1.97034,
        1.98331,
        1.99629,
        1.99621,
        1.98916,
        1.99557,
        1.97775,
        1.96722,
        1.99556,
        2.00738,
        2.03053,
        2.00629,
        2.02483,
        2.02075,
        2.01074,
        2.00329,
        2.01424,
        2.03265,
        2.01687,
        2.02632,
        2.02117,
        2.00811,
        1.97284,
        1.98878,
        2.03172,
        2.01623,
        1.9895,
        2.03888,
        2.00408,
        2.02574,
        2.0193,
        1.96175,
        1.97263,
        2.0228,
        2.03898,
        2.06145,
        2.05204,
        2.0734,
        2.04788,
        2.03615,
        2.01146,
        2.08261,
        2.07843,
        2.07786,
        2.0762,
        2.09165,
        2.06391,
        2.08699,
        2.06699,
        2.11865,
        2.10224,
        2.1415,
        2.19877,
        2.16658,
        2.16598,
        2.21892,
        2.22654,
        2.25949,
        2.26678,
        2.32569,
        2.30781,
        2.33173,
        2.38441,
        2.41355,
        2.45512,
        2.50442,
        2.51178,
        2.47723,
        2.46603,
        2.43308,
        2.39236,
        2.33591,
        2.32255,
        2.2964,
        2.20394,
        2.17024,
        2.15202,
        2.13739,
        2.1015,
        2.08059,
        2.0668,
        2.08356,
        2.0504,
        2.08395,
        2.05484,
        2.02913,
        2.01055,
        1.98874,
        2.0053,
        2.0182,
        1.9777,
        2.01221,
        2.00246,
        1.99137,
        1.99566,
        1.97568,
        1.9736,
        1.99217,
        1.98953,
        2.0272,
        2.01629,
        2.04638,
        1.98856,
        2.02693,
        2.00097,
        1.99002,
        1.99696,
        2.00771,
        2.0209,
        1.98169,
        2.0056,
        1.98956,
        2.01139,
        2.00777,
        1.9702,
        1.99431,
        1.98914,
        1.98694,
        2.00902,
        1.99882,
        2.00878,
        2.02143,
        2.02113,
        2.02598,
        2.00608,
        2.00557,
        2.00112,
        2.0158,
        2.01634,
        1.99145,
        1.99291,
        1.97138,
        1.97514,
        2.00985,
        1.98607,
        1.9791,
        1.99874,
        2.01735,
        2.01591,
        2.00065,
        2.002,
        1.98196,
        1.98218,
        2.01526,
        2.01885,
        2.04126,
        2.01759,
        1.99478,
        2.00901,
        2.01387,
        1.9786,
        1.99119,
        1.969,
        1.98232,
        2.0123,
        1.99875,
        1.9714,
        2.00089,
        1.97717,
        1.99763,
        1.9748,
        2.00135,
        2.01121,
        2.03419,
        1.97977,
        2.00053,
        2.00814,
        2.01177,
        1.99489,
        1.96231,
        1.98464,
        1.98854,
        1.95809,
        1.96858,
        1.99322,
        1.99125,
        1.99316,
        1.98162,
        1.98356,
        2.00343,
        1.99566,
        2.00381,
        1.98445,
        2.01678,
        2.01412,
        1.98672,
        1.96809,
        1.9939,
        1.9712,
        1.97206,
        2.01593,
        1.99163,
        1.96593,
        1.99361,
        2.01098,
        2.01494,
        2.00792,
        2.0033,
        1.96977,
        1.9708,
        1.97273,
        1.9888,
        1.9857,
        1.9733,
        2.02269,
        1.99449,
        2.00794,
        1.96637,
        1.96533,
        1.97706,
        1.97203,
        1.98809,
        1.94252,
        1.97341,
        1.98659,
        2.00508,
        1.96954,
        1.96254,
        1.96935,
        1.96639,
        2.00187,
        2.00794,
        2.0193,
        2.00207,
        1.98231,
        1.96488,
        1.99739,
        2.01218,
        2.01318,
        2.00474,
        2.01798,
        2.01649,
        2.01154,
        1.99483,
        2.00088,
        2.0031,
        2.03123,
        2.01042,
        1.99936,
        2.01594,
        2.00816,
        1.97778,
        1.98622,
        1.97528,
        1.95515,
        2.00511,
        1.98071,
        1.98898,
        1.99577,
        1.98241,
        2.00649,
        2.01785,
        2.02687,
        1.96936,
        1.99092,
        2.00943,
        1.97257,
        1.988,
        1.70344,
        2.00808,
        2.01238,
        1.99911,
        1.99989,
        2.01479,
        2.01324,
        1.98391,
        1.97205,
        1.99438,
        1.99867,
        2.0101,
        2.00144,
        1.99887,
        2.02113,
        1.99862,
        1.99611,
        1.98668,
        2.02025,
        1.98859,
        1.97956,
        1.98224,
        1.99287,
        2.00597,
        2.0321,
        2.02723,
        2.01846,
        2.04436,
        1.99472,
        1.98763,
        2.0116,
        1.97352,
        2.01716,
        1.97963,
        1.9398,
        1.96385,
        1.95646,
        1.98404,
        2.02936,
        2.02496,
        2.0291,
        1.9944,
        2.03097,
        2.00868,
        1.96701,
        1.96963,
        2.00672,
        2.00322,
        1.9776,
        2.01324,
        1.99594,
        1.97612,
        1.98222,
        2.00559,
        1.98581,
        1.98604,
        1.98941,
        2.01769,
        2.02923,
        2.04326,
        2.04514,
        2.03569,
        1.99242,
        1.97919,
        1.98895,
        1.99372,
        2.03616,
        2.01239,
        1.98719,
        2.00432,
        2.02967,
        2.00378,
        1.992,
        1.99241,
        2.04706,
        2.00668,
        2.0156,
        1.99486,
        1.9986,
        2.01265,
        1.95299,
        1.97076,
        1.96277,
        1.96697,
        1.9906,
        1.99998,
        2.02369,
        2.04632,
        2.02706,
        2.03324,
        2.03587,
        2.02975,
        2.01408,
        2.011,
        1.99209,
        1.98946,
        1.97834,
        2.00234,
        2.01307,
        2.00055,
        2.01939,
        2.03998,
        2.02561,
        2.00757,
        2.00408,
        2.03328,
        2.02426,
        2.00849,
        1.9979,
        2.0242,
        2.00934,
        2.01195,
        2.0177,
        2.02123,
        1.99807,
        2.0254,
        2.01852,
        2.03872,
        2.02104,
        2.04376,
        2.0251,
        1.99582,
        2.03486,
        2.03274,
        2.02653,
        2.04618,
        2.0108,
        2.03692,
        2.04195,
        2.00494,
        2.0494,
        2.04233,
        2.00764,
        2.02167,
        2.0111,
        2.01466,
        2.05439,
        2.02852,
        2.00295,
        2.02253,
        2.00751,
        1.99514,
        2.00593,
        2.02553,
        2.00798,
        2.00109,
        2.02624,
        2.01807,
        1.99678,
        2.00845,
        2.01474,
        2.00943,
        2.01313,
        1.98989,
        1.98791,
        1.99607,
        2.00266,
        2.03273,
        2.03087,
        1.98972,
        1.99328,
        2.01365,
        2.04261,
        2.01627,
        2.0196,
        2.0268,
        2.04564,
        1.99843,
        2.01675,
        2.02676,
        2.05188,
        2.07069,
        2.03018,
        1.99531,
        2.0227,
        2.02215,
        2.04367,
        2.00791,
        2.00977,
        2.03093,
        2.06421,
        2.04963,
        2.01945,
        2.04122,
        2.06762,
        2.0658,
        2.03904,
        2.04304,
        2.06789,
        2.0458,
        2.02025,
        2.03491,
        2.03548,
        2.00141,
        2.0194,
        2.02962,
        2.04166,
        2.04564,
        2.01307,
        1.98779,
        2.02122,
        2.00523,
        2.0082,
        2.01985,
        2.04844,
        2.03496,
        2.02051,
        2.00061,
        1.97509,
        1.98485,
        2.02154,
        2.01586,
        1.98459,
        2.00604,
        2.0121,
        1.99298,
        2.00907,
        1.99552,
        1.98828,
        2.00388,
        2.01072,
        2.03713,
        1.99852,
        2.00167,
        2.00854,
        2.0125,
        2.06903,
        2.0383,
        2.01719,
        2.00729,
        1.99881,
        2.00379,
        1.97887,
        2.00924,
        2.0029,
        2.03424,
        1.99712,
        2.01363,
        2.02987,
        2.03053,
        2.00804,
        1.99969,
        2.01539,
        2.02204,
        2.00976,
        2.01718,
        2.03603,
        2.03427,
        2.02656,
        2.02446,
        2.03231,
        1.98929,
        2.01026,
        2.00191,
        2.01031,
        2.0127,
        1.96946,
        1.98826,
        1.98666,
        2.00016,
        2.01186,
        2.00145,
        2.01949,
        2.02253,
        2.01534,
        2.00006,
        1.98661,
        2.01713,
        2.01072,
        2.01151,
        2.0047,
        1.97418,
        2.03841,
        2.00587,
        2.00384,
        2.00252,
        1.9871,
        1.97925,
        1.99771,
        1.98447,
        1.99324,
        2.03833,
        1.98296,
        2.01444,
        2.02483,
        1.98887,
        2.01198,
        2.02442,
        2.01888,
        2.01103,
        1.97585,
        1.9569,
        1.97747,
        1.99256,
        1.99407,
        1.9838,
        2.01492,
        2.00129,
        1.99452,
        2.03387,
        2.00439,
        2.00584,
        2.01371,
        1.98636,
        1.99936,
        2.00303,
        2.04577,
        2.06582,
        2.02659,
        1.98843,
        1.98728,
        2.00866,
        2.01745,
        1.97715,
        1.99706,
        2.02331,
        2.02368,
        1.98847,
        1.99809,
        2.01752,
        2.02073,
        2.00131,
        2.00584,
        2.01748,
        1.96644,
        1.98529,
        1.99284,
        1.98189,
        1.9866,
        1.99628,
        2.04589,
        2.02601,
        2.05627,
        2.00412,
        1.95411,
        1.97547,
        1.99271,
        2.03012,
        2.02257,
        2.0005,
        1.99666,
        1.97049,
        1.96963,
        1.97235,
        2.02335,
        2.05701,
        2.02592,
        2.00151,
        2.01296,
        2.03771,
        2.04238,
        2.05713,
        2.06081,
        2.0414,
        2.04538,
        2.08333,
        2.08252,
        2.07517,
        2.05327,
        2.07592,
        2.10185,
        2.09819,
        2.08645,
        2.11388,
        2.13282,
        2.12337,
        2.17572,
        2.12748,
        2.15329,
        2.15952,
        2.1825,
        2.19178,
        2.18991,
        2.24536,
        2.26439,
        2.27994,
        2.303,
        2.36707,
        2.37288,
        2.37654,
        2.41842,
        2.45426,
        2.44038,
        2.49404,
        2.44114,
        2.41074,
        2.36514,
        2.31635,
        2.27173,
        2.28385,
        2.24196,
        2.20133,
        2.16896,
        2.15062,
        2.13041,
        2.11657,
        2.09069,
        2.11195,
        2.07826,
        2.05783,
        2.0212,
        1.98498,
        1.97513,
        2.00835,
        1.98156,
        1.98856,
        2.06608,
        2.08573,
        2.09384,
        2.03763,
        2.01469,
        1.98907,
        2.00718,
        1.96884,
        1.94885,
        2.03686,
        1.91143,
        2.04324,
        2.15618,
        2.24731,
        1.99655,
        2.13682,
        2.17802,
        2.11375,
        2.02343,
        1.93408,
        2.26016,
        1.86578,
        2.04915,
        2.05818,
        2.09624,
        2.1691,
        2.03487,
        1.99032,
        2.07455,
        2.10712,
        2.06479,
        2.04153,
        1.97813,
        1.9905,
        2.00076,
        2.01933,
        2.03993,
        2.00709,
        1.9477,
        1.89265,
        1.95636,
        1.97076,
        2.08814,
        2.08267,
        1.99107,
        2.1274,
        2.02538,
        2.14669,
        1.86614,
        1.95886,
        2.39237,
        2.07252,
        1.96446,
        1.98253,
        2.13051,
        2.09968,
        1.99209,
        1.97545,
        1.98179,
        1.99976,
        2.00731,
        2.07104,
        2.01741,
        2.07596,
        2.03746,
        2.01933,
        2.00823,
        1.94875,
        2.04955,
        2.01842,
        2.03196,
        2.05746,
        2.04487,
        2.04563,
        1.94769,
        1.98875,
        2.02152,
        2.01312,
        2.01239,
        2.04161,
        1.99036,
        1.97316,
        1.96582,
        2.05253,
        2.04363,
        2.01326,
        1.98676,
        1.96483,
        1.98687,
        1.98924,
        2.02052,
        1.98006,
        1.99257,
        1.96959,
        1.96377,
        1.99743,
        1.97451,
        1.99641,
        1.97902,
        1.94818,
        1.95535,
        2.0111,
        1.99665,
        1.98727,
        1.98303,
        1.98189,
        1.99749,
        1.99349,
        1.9959,
        2.03089,
        1.9832,
        1.95825,
        1.96863,
        1.99692,
        2.02547,
        2.02193,
        2.01994,
        2.01815,
        2.00238,
        1.97638,
        1.97516,
        2.00928,
        2.00933,
        2.0265,
        1.99567,
        1.98158,
        2.01109,
        1.99004,
        1.98385,
        1.99385,
        1.99787,
        2.04896,
        2.0147,
        2.02256,
        1.97483,
        2.00871,
        1.98416,
        1.99459,
        1.99983,
        2.01961,
        2.01462,
        1.96673,
        1.98857,
        2.0525,
        2.00495,
        2.01811,
        2.01399,
        2.00933,
        2.02385,
        1.99248,
        2.04132,
        2.01596,
        2.02436,
        2.03107,
        1.97619,
        1.97382,
        1.98687,
        2.02019,
        1.97113,
        1.99275,
        1.98949,
        2.03481,
        2.03198,
        2.0625,
        2.01315,
        2.01057,
        1.99132,
        2.00679,
        1.99408,
        2.0266,
        2.04823,
        1.99473,
        1.99103,
        1.9969,
        2.00332,
        1.99928,
        1.97013,
        1.99511,
        1.97625,
        2.02473,
        2.01341,
        1.99893,
        2.01887,
        1.97594,
        1.96734,
        2.00786,
        1.99575,
        2.03385,
        1.99741,
        1.96371,
        1.99461,
        2.01847,
        2.00764,
        1.9939,
        2.00483,
        1.99674,
        2.07109,
        2.06093,
        2.00937,
        1.98743,
        1.99779,
        1.96894,
        2.01426,
        2.01846,
        2.04748,
        2.03881,
        2.02549,
        1.98897,
        1.98532,
        1.97142,
        1.96995,
        2.04269,
        1.99124,
        1.99392,
        2.00666,
        1.96685,
        1.99281,
        2.01183,
        2.00515,
        1.97619,
        1.97585,
        2.02005,
        2.013,
        2.00701,
        2.02169,
        2.01926,
        1.99378,
        1.97432,
        1.9716,
        2.02423,
        2.03992,
        2.02351,
        1.97778,
        1.99378,
        2.03917,
        2.01928,
        2.00016,
        2.01775,
        2.00116,
        1.99495,
        2.00838,
        1.97002,
        1.99135,
        1.99676,
        1.99248,
        2.03365,
        2.03175,
        2.04474,
        2.01011,
        1.99199,
        2.01895,
        2.03681,
        2.04966,
        2.02361,
        2.06766,
        2.06628,
        2.00436,
        1.95805,
        1.96291,
        2.0331,
        2.01047,
        1.99186,
        2.02706,
        1.99436,
        1.96311,
        2.01191,
        2.0338,
        2.03357,
        2.01848,
        2.04181,
        2.04164,
        2.0945,
        2.02844,
        1.9412,
        1.99897,
        2.03408,
        2.04218,
        2.02077,
        2.02693,
        2.02463,
        2.03216,
        1.99511,
        1.97712,
        1.97139,
        2.02977,
        2.01146,
        2.00915,
        1.97504,
        1.99335,
        1.99376,
        2.00662,
        1.98047,
        1.97009,
        1.99058,
        1.92554,
        1.94198,
        1.97869,
        1.95302,
        1.94671,
        1.95559,
        2.03372,
        2.01707,
        1.96047,
        2.02649,
        2.03045,
        2.00396,
        1.92397,
        1.98517,
        1.99895,
        2.02348,
        2.01622,
        1.96555,
        1.94137,
        1.9622,
        1.9462,
        2.0014,
        1.98232,
        2.01776,
        1.99948,
        2.00637,
        1.97057,
        1.94973,
        2.03336,
        2.00278,
        2.00315,
        2.01979,
        2.05545,
        2.04415,
        1.97485,
        1.98935,
        2.01196,
        2.00113,
        1.97555,
        1.95746,
        1.93394,
        2.00158,
        1.99795,
        1.97982,
        1.97273,
        2.03065,
        2.00643,
        2.00762,
        1.99845,
        1.98306,
        1.99942,
        2.02049,
        1.99484,
        2.03094,
        2.03431,
        2.01815,
        2.01402,
        2.01408,
        2.01688,
        2.02236,
        1.99731,
        1.96874,
        1.98009,
        2.02428,
        2.03106,
        1.99565,
        1.99673,
        1.98165,
        2.01437,
        2.01202,
        2.01158,
        1.99601,
        1.99502,
        2.02657,
        1.98689,
        1.98816,
        1.98507,
        2.04557,
        2.01008,
        1.95333,
        2.00138,
        2.0004,
        1.9979,
        2.02669,
        2.03423,
        1.93837,
        2.05299,
        2.01077,
        1.99987,
        2.01609,
        2.04299,
        2.05184,
        1.97891,
        1.97133,
        2.00609,
        1.98947,
        2.03117,
        2.03993,
        2.04078,
        2.01906,
        1.97898,
        1.98208,
        1.96493,
        1.99691,
        1.97376,
        1.98963,
        2.02752,
        2.01249,
        1.97322,
        2.00497,
        1.97963,
        1.99703,
        2.00949,
        2.04312,
        2.08549,
        1.96198,
        2.02044,
        1.9767,
        2.01319,
        1.98686,
        2.0164,
        2.02554,
        2.00504,
        1.9782,
        2.02513,
        2.02553,
        2.03348,
        2.0217,
        1.95054,
        2.0332,
        2.00332,
        1.97021,
        2.01431,
        1.99961,
        2.07795,
        2.00139,
        2.02911,
        1.98296,
        1.97625,
        1.94688,
        2.04334,
        2.04304,
        1.99731,
        2.03507,
        2.01913,
        2.01345,
        1.94987,
        1.96251,
        2.01908,
        2.04074,
        2.0309,
        2.05503,
        1.98193,
        2.00866,
        2.04319,
        2.08503,
        2.05604,
        2.10774,
        1.9645,
        1.9823,
        2.00233,
        1.99335,
        2.0579,
        2.04418,
        2.03428,
        2.02629,
        1.98088,
        2.00507,
        2.12076,
        2.04774,
        2.03206,
        2.03447,
        1.98554,
        1.92748,
        2.04111,
        2.03864,
        1.92123,
        1.97831,
        1.99293,
        2.12692,
        2.03596,
        2.0318,
        1.98239,
        1.85153,
        2.09752,
        1.99453,
        2.18242,
        2.05275,
        2.11288,
        2.10473,
        2.2145,
        null,
        2.10065,
        2.05569,
        2.04987,
        2.01552,
        2.03901,
        2.02706,
        1.9997,
        1.99013,
        2.01607,
        2.00961,
        1.98866,
        1.97179,
        1.97417,
        1.97834,
        1.99008,
        1.99489,
        2.01369,
        2.00928,
        2.00586,
        2.03032,
        2.02678,
        2.0183,
        2.04076,
        2.03292,
        2.02671,
        2.00325,
        2.03117,
        2.04889,
        2.02914,
        2.04178,
        2.05922,
        2.04329,
        2.0386,
        2.04341,
        2.04287,
        2.02144,
        1.98572,
        2.03117,
        2.02174,
        2.0537,
        2.04529,
        2.0216,
        2.00752,
        2.0205,
        1.99432,
        1.98137,
        2.01744,
        2.00569,
        1.95599,
        1.98391,
        2.02924,
        1.98537,
        1.99058,
        1.96794,
        1.97144,
        1.93086,
        1.94342,
        2.00066,
        2.09313,
        2.04666,
        1.99131,
        1.97422,
        2.02541,
        2.02166,
        1.99876,
        2.02051,
        2.02029,
        2.00241,
        2.02978,
        1.98916,
        2.00796,
        2.04395,
        2.02803,
        1.9984,
        2.04061,
        2.08327,
        2.09484,
        2.0261,
        1.99463,
        1.99505,
        2.00489,
        1.98188,
        1.99895,
        2.04166,
        1.9801,
        1.99129,
        1.9975,
        2.03578,
        2.02589,
        1.9922,
        1.9934,
        2.01293,
        2.0304,
        1.97472,
        1.95865,
        1.98348,
        2.00986,
        2.05911,
        1.99586,
        2.04217,
        2.03281,
        2.01655,
        2.05029,
        2.03132,
        2.03627,
        2.02946,
        2.03283,
        2.12874,
        2.12048,
        2.07566,
        2.1162,
        2.03339,
        2.02834,
        1.94942,
        1.99301,
        2.03335,
        2.09705,
        2.06277,
        2.09292,
        1.94691,
        1.86217,
        1.87251,
        1.97641,
        1.81566,
        1.8569,
        2.06639,
        2.11958,
        2.12405,
        1.8455,
        1.86973,
        2.0471,
        2.13214,
        2.17609,
        2.04936,
        1.9138,
        2.00333,
        2.00181,
        1.94385,
        2.07658,
        2.13748,
        2.07787,
        2.04234,
        2.01897,
        1.9876,
        1.97745,
        1.98595,
        2.11057,
        2.04422,
        2.05758,
        1.97166,
        1.89095,
        1.9103,
        2.08987,
        2.08582,
        1.93745,
        1.92488,
        1.92993,
        1.93025,
        2.07458,
        1.89229,
        2.06543,
        2.24665,
        2.40697,
        2.11855,
        2.10671,
        2.11303,
        2.25503,
        2.02511,
        2.04174,
        2.34618,
        2.25384,
        2.21633,
        2.19771,
        2.26591,
        2.26097,
        2.19964,
        2.3258,
        2.23569,
        2.29751,
        2.3113,
        2.34214,
        2.30364,
        2.31883,
        2.32969,
        2.37257,
        2.38731,
        2.2689,
        2.26472,
        2.37094,
        2.42226,
        2.29445,
        2.29374,
        2.28881,
        2.23734,
        2.15552,
        2.12172,
        2.16822,
        2.05038,
        2.04054,
        2.03456,
        2.07947,
        2.029,
        2.0008,
        2.01201,
        2.13719,
        2.07916,
        2.03617,
        2.06693,
        2.05414,
        2.0609,
        2.1061,
        1.89243,
        2.09258,
        2.04902,
        1.9824,
        1.98035,
        2.02449,
        1.99304,
        1.9982,
        1.95105,
        2.005,
        2.0113,
        2.0622,
        2.03861,
        2.02336,
        2.01049,
        1.98171,
        2.10185,
        2.02239,
        2.00981,
        2.02999,
        2.01028,
        2.01806,
        1.9533,
        1.95156,
        1.93525,
        2.00309,
        2.08483,
        2.0046,
        2.12914,
        1.98357,
        1.91356,
        2.01469,
        1.93418,
        2.04348,
        2.05756,
        2.04904,
        1.96905,
        2.07768,
        1.88076,
        1.92848,
        2.11795,
        2.15939,
        2.02555,
        1.90468,
        2.22012,
        2.09189,
        2.10647,
        2.10091,
        2.11034,
        2.01258,
        2.10257,
        2.21547,
        2.20319,
        1.87731,
        1.91689,
        null,
        2.00108,
        2.13357,
        1.89244,
        1.95763,
        1.87711,
        1.9546,
        2.11589,
        2.04602,
        2.2328,
        2.13268,
        2.0564,
        2.03185,
        2.14649,
        2.00581,
        2.20119,
        2.01719,
        2.0399,
        2.0001,
        1.98995,
        1.93515,
        2.00764,
        2.1501,
        2.08751,
        2.08853,
        2.18076,
        2.09135,
        2.1792,
        2.08814,
        2.01918,
        1.97831,
        2.06775,
        2.09071,
        2.00669,
        2.11766,
        2.08009,
        2.06002,
        2.08488,
        2.14471,
        2.05679,
        1.93781,
        2.07039,
        1.98064,
        1.99076,
        2.00374,
        2.03401,
        2.01634,
        2.02401,
        1.95131,
        2.05901,
        2.05176,
        2.01705,
        2.06162,
        2.01461,
        2.03455,
        2.01874,
        1.99698,
        2.0107,
        2.02991,
        2.02048,
        2.03458,
        2.02672,
        2.05002,
        2.1008,
        2.08705,
        2.0863,
        2.05644,
        2.00808,
        2.00586,
        2.03164,
        2.08634,
        2.08378,
        2.06034,
        2.04957,
        1.985,
        1.98249,
        2.0526,
        2.04116,
        2.0194,
        2.04448,
        2.01748,
        2.0721,
        2.01815,
        1.97772,
        2.03769,
        2.05672,
        2.03766,
        2.03822,
        2.00263,
        2.00962,
        2.0349,
        2.02694,
        1.99945,
        1.99924,
        2.02891,
        2.03267,
        2.0171,
        2.00729,
        2.02911,
        2.01729,
        1.99928,
        1.98922,
        2.00453,
        2.02638,
        2.04314,
        1.97743,
        2.03149,
        1.98856,
        2.03523,
        2.02672,
        2.02328,
        2.02704,
        2.03991,
        2.04504,
        2.03534,
        2.03206,
        2.01972,
        2.01425,
        2.00978,
        2.00255,
        2.00838,
        1.9724,
        2.03498,
        2.03676,
        2.06312,
        2.05903,
        2.06046,
        2.03496,
        2.08215,
        2.06931,
        2.05071,
        2.00915,
        1.98977,
        2.01917,
        1.99279,
        1.98871,
        1.9965,
        2.01726,
        2.03901,
        2.01345,
        2.02195,
        2.01788,
        2.02091,
        1.99391,
        2.01418,
        2.01215,
        2.01704,
        1.98697,
        1.97553,
        1.98163,
        1.95449,
        1.97389,
        2.04606,
        1.97966,
        2.01697,
        1.96848,
        2.0052,
        2.02134,
        1.99791,
        2.00644,
        2.04898,
        2.04183,
        2.03733,
        2.04018,
        2.06147,
        2.02005,
        2.02339,
        2.01262,
        2.0378,
        2.0174,
        1.99835,
        2.02353,
        2.0418,
        2.01837,
        1.99376,
        2.01959,
        2.04026,
        2.03617,
        2.00101,
        1.98658,
        2.00369,
        2.00422,
        1.98671,
        2.00766,
        2.00389,
        1.99395,
        1.99582,
        1.99262,
        1.99214,
        1.98537,
        2.00168,
        2.02719,
        1.96903,
        1.95935,
        2.01125,
        2.0106,
        2.00871,
        2.00576,
        2.01905,
        1.98564,
        2.03162,
        2.05832,
        2.0266,
        2.04601,
        2.04485,
        2.03472,
        2.05326,
        2.0595,
        2.02802,
        2.04298,
        2.01563,
        2.01685,
        2.01976,
        2.01645,
        2.01136,
        2.01442,
        2.00347,
        2.02346,
        2.02903,
        2.01132,
        2.02895,
        2.00299,
        1.97855,
        1.99969,
        1.97531,
        1.99363,
        1.99677,
        2.03995,
        2.01802,
        2.01317,
        2.02645,
        2.01153,
        1.98432,
        2.00599,
        2.02375,
        2.02501,
        2.01025,
        2.05695,
        2.03386,
        2.03914,
        2.04312,
        2.00859,
        2.02615,
        2.0354,
        2.048,
        2.02717,
        2.03224,
        2.02162,
        2.0238,
        1.99114,
        2.00007,
        2.02286,
        1.99427,
        1.98641,
        2.01699,
        1.99373,
        2.04231,
        2.00294,
        2.00318,
        1.99957,
        1.977,
        2.02402,
        2.01035,
        2.02149,
        1.96848,
        2.02673,
        2.00944,
        2.02479,
        2.01541,
        2.03061,
        2.02554,
        2.03371,
        2.04747,
        2.05809,
        2.0123,
        2.01001,
        2.04003,
        2.02891,
        2.01411,
        2.03333,
        1.98435,
        2.00758,
        2.0162,
        2.01211,
        2.01659,
        2.0117,
        2.03419,
        2.01285,
        1.97304,
        2.01008,
        2.00311,
        2.01436,
        2.04815,
        1.9951,
        2.01437,
        2.00683,
        2.01591,
        1.99859,
        2.03158,
        2.02326,
        2.04897,
        2.019,
        2.03052,
        2.0069,
        2.04663,
        2.0402,
        2.01186,
        1.97653,
        2.01753,
        1.99647,
        2.02061,
        2.02078,
        2.02766,
        2.00691,
        1.98231,
        1.96888,
        2.0101,
        2.04095,
        2.00287,
        1.99045,
        1.97931,
        2.0044,
        2.02519,
        2.04012,
        2.00308,
        2.03601,
        2.02538,
        2.01842,
        2.00342,
        1.99104,
        2.02096,
        1.99388,
        2.0054,
        2.02534,
        2.00291,
        2.02975,
        2.02268,
        2.00719,
        1.98004,
        1.97803,
        1.99178,
        1.98308,
        1.97526,
        2.00148,
        2.02902,
        2.00817,
        2.00138,
        1.99613,
        1.99016,
        2.01878,
        2.01111,
        2.03075,
        2.03096,
        2.04246,
        2.0515,
        2.04043,
        2.07277,
        2.07293,
        2.02665,
        2.03037,
        2.0033,
        2.08515,
        2.03701,
        2.0006,
        2.06432,
        2.08372,
        2.11017,
        2.08301,
        2.0938,
        2.06546,
        2.0918,
        2.10442,
        2.0991,
        2.13478,
        2.10843,
        2.14194,
        2.15631,
        2.17889,
        2.19046,
        2.19284,
        2.20954,
        2.2178,
        2.23664,
        2.26756,
        2.30668,
        2.31318,
        2.30565,
        2.32633,
        2.33913,
        2.33359,
        2.32192,
        2.29567,
        2.25263,
        2.23508,
        2.222,
        2.18631,
        2.18009,
        2.19241,
        2.15883,
        2.13019,
        2.11173,
        2.07261,
        2.07722,
        2.10147,
        2.05427,
        2.03064,
        2.02898,
        2.03277,
        2.02668,
        2.01273,
        2.01007,
        1.98441,
        1.99352,
        1.98791,
        1.97349,
        1.98139,
        2.01943,
        2.02534,
        2.02098,
        1.99797,
        2.02719,
        2.01673,
        2.02826,
        2.03855,
        2.07384,
        2.01234,
        2.01639,
        2.01894,
        2.02819,
        1.98939,
        2.03693,
        2.01958,
        1.98296,
        1.98854,
        1.97576,
        1.97268,
        1.98905,
        1.99696,
        1.97773,
        1.9971,
        1.97411,
        2.00594,
        2.0348,
        2.0223,
        2.01358,
        2.04,
        2.01406,
        2.00631,
        2.012,
        2.03426,
        2.05065,
        2.0319,
        2.03206,
        2.02175,
        1.99124,
        1.98387,
        2.00884,
        2.01966,
        1.97096,
        2.00598,
        2.00865,
        2.01913,
        2.02504,
        2.07462,
        2.02277,
        2.0006,
        1.99559,
        2.00585,
        2.0147,
        2.02647,
        2.02048,
        2.03236,
        2.02882,
        1.99723,
        1.97667,
        1.97637,
        1.99132,
        1.99533,
        1.99265,
        1.99408,
        1.98916,
        2.00054,
        2.00373,
        2.00925,
        1.99244,
        1.97822,
        2.02562,
        2.04132,
        2.0325,
        2.02836,
        1.99944,
        1.97549,
        1.97707,
        2.00694,
        2.00394,
        1.97577,
        1.9559,
        1.96844,
        2.01473,
        2.00897,
        1.9987,
        1.99214,
        1.99794,
        2.00958,
        2.02372,
        2.00995,
        2.01472,
        2.02508,
        2.01021,
        1.97944,
        2.01139,
        2.0046,
        1.99041,
        2.02073,
        2.00962,
        1.99014,
        1.98196,
        2.0026,
        2.01103,
        2.02001,
        2.00366,
        2.0267,
        2.03309,
        2.017,
        2.03529,
        2.01483,
        2.02658,
        2.02488,
        2.05176,
        2.03459,
        2.01734,
        2.04962,
        2.01476,
        2.01924,
        1.98058,
        2.01394,
        2.01236,
        1.99113,
        2.01686,
        2.02124,
        2.01819,
        2.04083,
        2.05689,
        2.03016,
        1.99066,
        2.03737,
        2.02286,
        1.98722,
        1.99848,
        1.98974,
        1.97375,
        1.97461,
        1.97686,
        1.96066,
        1.98048,
        1.99913,
        1.98111,
        1.99252,
        2.06525,
        2.05744,
        2.00935,
        1.99457,
        2.00407,
        2.0266,
        2.03292,
        2.00339,
        1.99007,
        1.96104,
        2.01432,
        2.00334,
        1.96654,
        1.93984,
        1.96462,
        1.96217,
        2.00948,
        1.99014,
        1.97931,
        1.98594,
        2.00006,
        1.97449,
        2.02777,
        1.99248,
        2.00774,
        2.01962,
        2.0097,
        1.99464,
        1.97668,
        1.94608,
        1.95683,
        1.99128,
        1.99422,
        1.97492,
        1.99008,
        1.98786,
        2.01736,
        2.01395,
        2.04375,
        2.01541,
        2.01651,
        1.9798,
        1.99535,
        2.02073,
        2.01923,
        2.00469,
        1.97055,
        2.00247,
        1.99788,
        2.01337,
        1.9954,
        1.98486,
        1.9897,
        2.0099,
        2.02367,
        2.02306,
        2.03561,
        2.00338,
        1.99215,
        2.01479,
        2.03409,
        2.01583,
        2.01961,
        1.98324,
        2.01622,
        2.02849,
        2.02833,
        2.04725,
        1.99883,
        2.01408,
        2.01381,
        2.00242,
        2.00855,
        2.00926,
        2.01075,
        1.98751,
        1.99448,
        1.98859,
        1.99871,
        1.99548,
        2.01225,
        2.0069,
        1.99062,
        2.00652,
        2.0272,
        2.01528,
        2.03419,
        2.0291,
        2.04844,
        2.00489,
        1.98725,
        2.0062,
        1.98612,
        2.01311,
        1.99146,
        1.99689,
        1.99772,
        1.99896,
        2.0248,
        2.00636,
        2.01123,
        2.0043,
        1.99302,
        1.99627,
        1.98769,
        2.01349,
        2.00151,
        1.97185,
        1.944,
        1.96164,
        1.97469,
        1.98617,
        2.01778,
        2.03028,
        2.00379,
        2.00932,
        1.98804,
        2.02589,
        2.01393,
        2.015,
        2.01678,
        2.00324,
        2.01582,
        1.98364,
        1.97018,
        1.99409,
        2.00086,
        2.00265,
        2.00765,
        1.98833,
        1.99833,
        1.98784,
        2.01095,
        2.02533,
        2.00608,
        1.98937,
        2.00063,
        1.98373,
        1.991,
        1.97692,
        1.98035,
        2.00409,
        1.98502,
        2.03263,
        1.99001,
        2.02625,
        2.0198,
        1.98582,
        2.0239,
        2.04628,
        1.98507,
        1.9706,
        1.98863,
        1.98643,
        1.98564,
        2.00992,
        1.97909,
        1.9922,
        1.98627,
        2.01815,
        2.00633,
        1.98037,
        2.01137,
        2.00994,
        2.01467,
        2.03008,
        2.02085,
        1.99248,
        1.96694,
        1.99962,
        2.01514,
        2.00838,
        2.01713,
        2.01356,
        2.04288,
        2.00312,
        2.00747,
        2.0478,
        2.02555,
        2.01416,
        1.98635,
        2.00328,
        1.97731,
        2.00328,
        2.01579,
        2.03091,
        2.01494,
        2.01075,
        2.0307,
        2.02906,
        2.02882,
        2.06631,
        2.03798,
        1.99909,
        1.98613,
        1.99899,
        1.98227,
        1.99524,
        2.0138,
        2.00735,
        1.98433,
        2.03706,
        2.03526,
        2.02067,
        2.03176,
        2.02217,
        2.00947,
        2.01403,
        2.0043,
        2.02835,
        1.98372,
        2.00663,
        2.01617,
        2.02499,
        2.03139,
        2.01723,
        2.00549,
        2.01066,
        1.9938,
        2.02032,
        2.01225,
        2.00566,
        1.98929,
        2.02213,
        2.01904,
        2.03149,
        2.03733,
        2.03965,
        2.01139,
        1.98088,
        2.02687,
        2.02815,
        2.04051,
        2.0321,
        2.04882,
        2.00346,
        2.01145,
        2.0259,
        2.00873,
        2.00729,
        2.03471,
        2.03209,
        2.04352,
        2.02761,
        2.03752,
        2.03469,
        2.01458,
        2.0146,
        2.04612,
        2.0511,
        2.01547,
        2.01726,
        1.99913,
        1.99026,
        2.03495,
        2.0621,
        2.01051,
        2.01035,
        2.01313,
        2.00793,
        2.05603,
        2.00979,
        1.96365,
        1.97475,
        1.99651,
        1.98934,
        2.05764,
        2.09032,
        2.02217,
        2.0059,
        2.00995,
        2.00647,
        2.05098,
        1.95508,
        2.05485,
        2.17046,
        1.89749,
        1.88936,
        1.95329,
        2.02034,
        2.33363,
        2.16702,
        2.07218,
        2.31215,
        2.0949,
        1.99953,
        1.9845,
        2.03702,
        2.05627,
        2.02896,
        2.0049,
        2.04006,
        2.03477,
        2.05698,
        2.21325,
        2.07282,
        2.05846,
        2.02727,
        2.08144,
        2.07464,
        2.06779,
        1.97018,
        1.94996,
        2.04478,
        2.04577,
        2.04586,
        1.97074,
        2.00147,
        2.06998,
        1.99288,
        1.97685,
        2.01675,
        2.03572,
        2.00376,
        1.9994,
        2.08404,
        2.02499,
        2.05139,
        2.05003,
        2.04245,
        2.0518,
        2.04128,
        1.96455,
        1.9546,
        2.01027,
        1.99736,
        2.03815,
        2.05476,
        2.04722,
        2.02112,
        2.01989,
        1.99023,
        2.00418,
        2.02065,
        1.98931,
        1.9954,
        1.98836,
        2.03393,
        2.08515,
        2.03674,
        1.99111,
        2.0088,
        2.0337,
        1.99965,
        2.0135,
        1.99535,
        2.00729,
        2.01953,
        1.99206,
        1.98123,
        2.01854,
        2.05456,
        2.01675,
        2.01592,
        2.03264,
        2.00968,
        2.02736,
        2.00262,
        2.01897,
        2.04306,
        2.03891,
        2.04619,
        2.01509,
        2.03868,
        2.04959,
        2.01793,
        1.97047,
        1.9918,
        2.05789,
        2.01982,
        2.00208,
        2.0277,
        2.06431,
        2.04465,
        2.06622,
        2.08085,
        2.0632,
        2.09984,
        2.10268,
        2.10805,
        2.08846,
        2.11478,
        2.08481,
        2.16379,
        2.22252,
        2.15102,
        2.14101,
        2.16323,
        2.15639,
        2.152,
        2.17432,
        2.17587,
        2.2399,
        2.28738,
        2.28491,
        2.36693,
        2.31632,
        2.2938,
        2.34665,
        2.29861,
        2.30039,
        2.28795,
        2.255,
        2.29121,
        2.26256,
        2.23257,
        2.20318,
        2.16793,
        2.13212,
        2.1053,
        2.10024,
        2.08629,
        2.04803,
        2.04042,
        2.0619,
        2.062,
        2.06423,
        2.06747,
        1.96714,
        2.04603,
        2.06848,
        2.04829,
        1.98833,
        1.99377,
        1.9944,
        2.04019,
        2.03672,
        2.00256,
        2.04547,
        2.02457,
        1.9408,
        2.00312,
        1.99531,
        1.93311,
        1.98772,
        1.9986,
        2.01583,
        2.04476,
        1.98948,
        1.95416,
        1.9889,
        1.98943,
        2.0179,
        2.0749,
        2.00212,
        1.99287,
        2.03714,
        2.10664,
        2.25507,
        2.17683,
        2.16118,
        2.03005,
        2.00151,
        1.90488,
        2.15619,
        2.19235,
        1.89418,
        2.0199,
        2.37437,
        2.04973,
        2.21037,
        2.01851,
        1.93271,
        2.00012,
        2.15396,
        2.15853,
        2.02998,
        2.04949,
        2.04526,
        2.13431,
        2.07072,
        2.0158,
        2.0028,
        1.9417,
        2.02916,
        1.97285,
        1.92917,
        2.08224,
        1.99197,
        2.00971,
        2.05841,
        2.03052,
        1.98984,
        2.03548,
        2.03677,
        2.03286,
        1.99098,
        2.0774,
        2.0518,
        2.0017,
        2.08371,
        2.08237,
        2.06945,
        1.98043,
        1.96768,
        1.95409,
        2.01635,
        2.01994,
        2.03803,
        2.03901,
        2.01498,
        1.99286,
        1.98801,
        1.95112,
        2.04704,
        2.0656,
        2.01613,
        2.0134,
        2.03418,
        2.00998,
        2.00183,
        2.00499,
        2.02,
        2.05324,
        2.01344,
        2.05222,
        1.99242,
        2.00371,
        2.01628,
        1.98181,
        1.96752,
        1.96245,
        2.01666,
        1.9956,
        2.02423,
        2.03988,
        2.01721,
        2.02159,
        1.98323,
        1.99229,
        1.97809,
        2.02148,
        2.00358,
        2.03006,
        2.04894,
        2.03827,
        1.98951,
        1.98327,
        1.99227,
        1.97411,
        1.98882,
        1.99447,
        2.00542,
        1.97953,
        2.04371,
        2.03642,
        2.04547,
        2.02202,
        1.9959,
        1.95534,
        1.97589,
        1.96794,
        1.95697,
        1.97951,
        1.9537,
        1.97426,
        2.01472,
        1.97059,
        1.98755,
        1.98348,
        1.99551,
        1.99527,
        1.97308,
        2.00807,
        1.98293,
        1.97458,
        1.99878,
        1.97121,
        1.97711,
        1.98652,
        2.02496,
        2.02557,
        2.05437,
        2.02829,
        1.99674,
        2.02219,
        2.06787,
        1.98307,
        1.98967,
        2.0016,
        2.05536,
        2.04405,
        2.05776,
        1.99028,
        1.97252,
        2.01721,
        2.03524,
        1.9943,
        2.00628,
        2.04961,
        1.99641,
        2.04005,
        2.03682,
        2.05434,
        2.02744,
        2.01652,
        2.01799,
        2.03536,
        2.01048,
        2.0206,
        2.0372,
        2.04012,
        2.01107,
        1.99384,
        1.99569,
        1.97417,
        1.99247,
        2.02078,
        2.01476,
        2.00531,
        2.00181,
        1.99084,
        1.98233,
        2.00037,
        2.03391,
        2.00152,
        1.98831,
        1.98295,
        1.99632,
        1.97197,
        1.98354,
        2.00814,
        2.00667,
        2.01646,
        2.032,
        1.99412,
        1.97729,
        1.97287,
        1.9561,
        1.96925,
        1.95905,
        1.99421,
        2.01234,
        1.97337,
        1.99951,
        2.02205,
        2.00983,
        1.98307,
        2.00084,
        2.00564,
        2.02366,
        2.02826,
        2.04478,
        2.0135,
        1.97077,
        1.96531,
        2.00538,
        1.97518,
        2.0528,
        2.0117,
        2.04176,
        2.01162,
        2.04277,
        2.02631,
        2.0175,
        1.9631,
        1.96592,
        1.99465,
        1.97326,
        2.04742,
        2.05343,
        2.01716,
        2.05082,
        2.02799,
        2.00342,
        2.01543,
        2.03127,
        2.02182,
        2.00126,
        2.01056,
        2.00592,
        2.02502,
        2.00386,
        2.01312,
        2.02532,
        2.01922,
        2.0306,
        2.03343,
        2.03288,
        2.03017,
        1.98974,
        1.97569,
        2.01421,
        1.98663,
        2.05043,
        2.0462,
        2.0554,
        1.97403,
        2.00168,
        1.9861,
        2.03068,
        1.98395,
        1.98905,
        1.99405,
        2.01109,
        2.00551,
        1.98148,
        1.98753,
        1.98936,
        1.98161,
        2.05013,
        1.994,
        2.03364,
        2.01807,
        2.0502,
        1.98887,
        1.9484,
        2.01342,
        1.9001,
        2.02755,
        2.21166,
        2.06337,
        2.0347,
        2.05533,
        2.00595,
        1.98067,
        2.04697,
        1.98545,
        2.0182,
        2.00729,
        1.97353,
        1.97138,
        1.97069,
        2.00783,
        1.9922,
        2.01345,
        2.00685,
        2.00837,
        1.98556,
        2.01381,
        2.03441,
        2.01531,
        2.02666,
        2.0316,
        2.00182,
        2.01322,
        2.02748,
        1.97368,
        1.96802,
        1.98309,
        2.05765,
        2.01076,
        1.99693,
        1.99717,
        2.02322,
        1.9702,
        2.00405,
        1.9929,
        2.03523,
        2.00731,
        2.06421,
        2.02304,
        2.04092,
        1.99312,
        2.04373,
        2.01392,
        2.01686,
        2.03972,
        1.99335,
        1.96705,
        2.00557,
        1.98916,
        2.03077,
        1.98597,
        1.95979,
        2.02072,
        1.98755,
        1.99491,
        1.99546,
        1.98804,
        1.97991,
        2.0028,
        2.02813,
        2.02258,
        1.96483,
        1.97299,
        2.01051,
        1.96769,
        1.94637,
        1.96978,
        1.9867,
        2.01117,
        1.99275,
        1.9891,
        1.98783,
        1.95194,
        1.99503,
        2.03216,
        2.01569,
        2.02519,
        2.03383,
        2.01484,
        2.02082,
        2.01266,
        2.02511,
        1.99958,
        2.05641,
        2.0274,
        1.99566,
        1.99783,
        2.0182,
        2.01399,
        2.03465,
        2.03512,
        2.04195,
        1.98912,
        2.02868,
        2.0449,
        2.03677,
        2.0105,
        1.99893,
        2.06263,
        2.03841,
        1.97314,
        1.95186,
        1.97638,
        1.96107,
        2.00377,
        2.02065,
        2.02095,
        1.97528,
        1.9869,
        1.97815,
        1.995,
        1.97254,
        2.00728,
        2.03359,
        1.99443,
        1.99644,
        2.00375,
        1.99797,
        2.05087,
        2.00447,
        1.99074,
        2.00678,
        2.00942,
        2.02161,
        1.99316,
        1.99169,
        2.03314,
        2.02568,
        1.98722,
        2.01047,
        2.00947,
        2.01831,
        2.00206,
        2.00358,
        2.01445,
        1.9828,
        1.99046,
        1.98724,
        1.95575,
        1.9648,
        1.98584,
        2.01936,
        2.02986,
        2.01567,
        1.99763,
        1.96553,
        1.96822,
        2.05914,
        1.9911,
        2.01824,
        1.98513,
        1.99189,
        1.98269,
        2.02654,
        1.97121,
        2.01045,
        2.0398,
        2.0435,
        2.02525,
        2.01707,
        2.01853,
        2.04171,
        1.97833,
        1.97833,
        1.98595,
        1.95375,
        2.01054,
        2.00876,
        1.98066,
        2.0348,
        2.08622,
        1.99712,
        1.9886,
        1.97724,
        1.98489,
        2.01243,
        2.03097,
        2.02549,
        2.02673,
        2.03673,
        2.03406,
        2.0211,
        2.00858,
        2.01956,
        1.99708,
        2.06246,
        2.00792,
        1.98349,
        2.00433,
        1.96468,
        2.01876,
        2.01116,
        1.99408,
        2.03809,
        1.9891,
        2.00775,
        2.02408,
        2.04604,
        2.02605,
        2.05105,
        2.02853,
        1.96159,
        2.01032,
        2.02926,
        2.01373,
        2.03081,
        2.01792,
        1.9831,
        1.96829,
        1.98671,
        1.99918,
        2.01599,
        2.03402,
        2.02554,
        1.99826,
        1.98077,
        2.01001,
        2.05526,
        2.03057,
        2.02879,
        2.04386,
        2.01906,
        1.98181,
        2.0205,
        2.0734,
        2.05767,
        2.00736,
        1.97531,
        2.00822,
        1.97788,
        2.0189,
        2.03619,
        2.05495,
        2.03307,
        2.00154,
        2.00898,
        2.01993,
        2.0494,
        2.03691,
        1.97468,
        1.99505,
        2.01748,
        2.04609,
        1.96577,
        2.00269,
        2.00079,
        2.0531,
        2.03178,
        1.98942,
        2.00579,
        2.01773,
        2.04765,
        2.03834,
        null,
        1.9908,
        2.00506,
        1.99949,
        2.01634,
        2.01315,
        2.02004,
        2.01697,
        2.02566,
        2.02307,
        2.01278,
        1.99356,
        2.01738,
        2.03621,
        2.0603,
        1.9703,
        2.0113,
        2.01607,
        2.00189,
        2.04113,
        2.01543,
        2.02518,
        1.96777,
        1.99531,
        1.97538,
        1.99106,
        1.98516,
        2.03354,
        2.0477,
        2.03538,
        1.99866,
        1.98,
        2.01856,
        2.00255,
        1.99648,
        2.00409,
        2.01807,
        1.98643,
        1.9854,
        2.0104,
        1.97833,
        2.01335,
        2.02476,
        2.00942,
        2.01986,
        2.01094,
        2.01185,
        2.02015,
        2.01382,
        2.02395,
        2.03306,
        2.00255,
        2.01082,
        2.04235,
        2.06043,
        2.02948,
        2.03423,
        2.02687,
        2.01034,
        1.97085,
        2.00043,
        2.02383,
        1.98848,
        1.9697,
        1.96864,
        2.01775,
        2.01735,
        2.00237,
        2.00355,
        2.00281,
        1.99319,
        2.00339,
        2.03401,
        1.9862,
        1.9766,
        1.98218,
        1.94011,
        1.96518,
        1.96355,
        1.9818,
        1.9818,
        1.9903,
        2.00282,
        1.99546,
        2.02814,
        2.03473,
        2.02754,
        2.02397,
        1.99389,
        2.01445,
        2.01135,
        2.0205,
        2.01994,
        2.01061,
        1.98506,
        2.02594,
        2.0396,
        1.99414,
        2.0278,
        2.0468,
        2.00973,
        2.03446,
        2.00308,
        2.00945,
        2.00073,
        1.9928,
        2.00442,
        2.01552,
        2.02874,
        2.00294,
        1.96628,
        1.96225,
        1.99037,
        2.03598,
        2.03987,
        2.02603,
        1.9978,
        1.97097,
        1.98759,
        1.97135,
        2.04643,
        2.0695,
        2.00074,
        1.95106,
        1.97631,
        2.06619,
        2.06105,
        2.02353,
        2.02867,
        2.03901,
        1.99696,
        2.0181,
        2.00282,
        1.98517,
        2.02235,
        2.03388,
        2.03232,
        2.02942,
        1.98991,
        1.94047,
        1.99209,
        1.99675,
        1.99504,
        2.02458,
        2.04147,
        2.00526,
        1.97742,
        2.00516,
        2.01111,
        2.03147,
        2.01439,
        2.0488,
        2.01837,
        1.99363,
        2.01432,
        1.96817,
        1.98488,
        2.07399,
        2.05197,
        1.97227,
        1.97876,
        1.93454,
        2.01919,
        2.00977,
        1.95811,
        1.9755,
        1.99672,
        2.04119,
        2.01338,
        2.01871,
        2.009,
        2.05939,
        2.02966,
        1.96165,
        2.01295,
        1.96729,
        2.01172,
        2.02829,
        1.9476,
        1.98289,
        2.01676,
        1.96743,
        2.0123,
        2.00967,
        2.01407,
        2.01462,
        1.92517,
        1.95273,
        2.00882,
        2.00892,
        2.07633,
        2.02128,
        1.9887,
        1.96544,
        2.02613,
        2.03139,
        2.0343,
        2.01604,
        2.0776,
        1.97892,
        2.03241,
        1.99154,
        1.99711,
        2.05614,
        2.01692,
        2.19985,
        2.06024,
        1.98688,
        1.93613,
        2.01681,
        2.18185,
        2.12179,
        2.11766,
        2.16662,
        2.17642,
        2.32427,
        2.13645,
        1.952,
        1.84623,
        2.00179,
        2.21315,
        2.28042,
        2.16814,
        2.15858,
        2.02426,
        2.14938,
        2.15173,
        2.10845,
        2.13086,
        2.16053,
        2.18676,
        2.15359,
        2.21826,
        2.31611,
        2.31754,
        2.26911,
        2.2045,
        2.23438,
        2.24841,
        2.22445,
        2.17318,
        2.12473,
        2.19547,
        2.154,
        2.06354,
        2.04243,
        2.00326,
        1.96535,
        2.04699,
        2.04598,
        2.07151,
        2.06991,
        1.96598,
        2.03228,
        1.98915,
        1.93229,
        1.97525,
        2.05664,
        2.00924,
        2.00698,
        1.98956,
        2.01867,
        1.98964,
        1.9789,
        2.00033,
        1.95078,
        1.98664,
        1.99216,
        2.02995,
        2.02603,
        1.9682,
        1.98767,
        2.04782,
        1.9859,
        1.94606,
        1.96131,
        1.97705,
        2.01391,
        2.03045,
        1.99475,
        1.98373,
        1.95669,
        1.96039,
        1.98861,
        1.96084,
        1.98926,
        1.98611,
        1.99709,
        1.99381,
        1.96763,
        1.95207,
        1.97135,
        1.98505,
        1.96082,
        1.94179,
        1.94939,
        2.01122,
        2.00316,
        1.98509,
        2.00218,
        1.95713,
        1.96258,
        1.99219,
        2.01699,
        1.96832,
        1.96757,
        1.99281,
        1.97636,
        1.96024,
        1.99389,
        1.98891,
        2.03195,
        2.00282,
        1.996,
        2.00267,
        1.9772,
        1.9743,
        1.98963,
        2.00131,
        1.99873,
        1.97626,
        1.99852,
        1.99366,
        1.98971,
        1.95839,
        1.95626,
        1.97657,
        2.06361,
        2.02439,
        2.0348,
        1.99426,
        1.9886,
        1.96656,
        1.94004,
        1.97091,
        1.98148,
        1.96476,
        2.00626,
        1.99579,
        2.02005,
        2.00061,
        2.02186,
        1.97781,
        2.00727,
        2.01788,
        1.99462,
        1.95152,
        1.96426,
        2.0044,
        2.01126,
        1.96172,
        1.96966,
        2.00982,
        1.99239,
        1.98174,
        1.98865,
        1.97653,
        2.01357,
        2.05145,
        2.02293,
        2.01316,
        2.0194,
        1.99841,
        1.99047,
        2.00233,
        1.97769,
        2.00474,
        2.02394,
        2.00917,
        1.99531,
        1.99892,
        2.02889,
        1.99335,
        1.98527,
        1.96487,
        2.04848,
        2.02288,
        2.04838,
        2.06246,
        2.0464,
        2.00828,
        2.00084,
        1.99672,
        2.01815,
        2.0163,
        1.99126,
        2.00938,
        2.04298,
        2.04938,
        2.02403,
        2.01633,
        2.03089,
        2.02265,
        2.0696,
        2.05994,
        2.07594,
        2.03735,
        2.01633,
        2.01077,
        2.0284,
        2.04757,
        2.00345,
        2.01196,
        2.00548,
        2.0539,
        2.05278,
        2.04167,
        2.03388,
        2.04395,
        1.99461,
        1.98119,
        2.01434,
        1.98197,
        2.01109,
        1.98642,
        2.02002,
        2.03944,
        2.01287,
        2.00741,
        2.02015,
        2.03324,
        1.98506,
        2.00032,
        1.97595,
        1.98406,
        2.00452,
        1.99063,
        1.96927,
        2.02219,
        1.98423,
        1.99475,
        1.98959,
        2.01719,
        2.01681,
        2.0259,
        2.04361,
        2.01895,
        1.99837,
        1.97805,
        1.9784,
        1.96831,
        2.01859,
        2.01788,
        2.01519,
        1.98304,
        1.98942,
        1.96502,
        2.00812,
        2.0036,
        1.9647,
        1.96143,
        2.03128,
        2.01614,
        2.03864,
        2.03162,
        2.00671,
        1.99047,
        2.04645,
        2.0302,
        2.00835,
        2.00482,
        2.01629,
        2.02154,
        2.0383,
        2.04244,
        1.99902,
        2.00246,
        2.01182,
        2.02898,
        2.03235,
        2.02182,
        1.9984,
        2.01664,
        2.0014,
        2.00059,
        2.00197,
        2.01678,
        1.98124,
        1.99279,
        1.99735,
        1.97542,
        2.03318,
        1.98963,
        1.96067,
        1.97952,
        2.00007,
        2.00353,
        1.98773,
        2.01705,
        1.99629,
        2.00944,
        2.01086,
        2.01347,
        1.98167,
        2.0109,
        2.01729,
        1.98262,
        1.98589,
        1.96613,
        1.99342,
        1.94779,
        1.97932,
        1.98463,
        1.97074,
        1.98099,
        2.01745,
        1.98713,
        1.99063,
        1.98394,
        1.96711,
        1.9836,
        1.99257,
        2.0037,
        1.98755,
        2.00989,
        2.00665,
        1.97846,
        2.03155,
        2.04212,
        2.02859,
        2.00571,
        1.99032,
        2.01158,
        2.02631,
        2.00744,
        2.01177,
        2.02452,
        2.0273,
        1.99378,
        1.96202,
        1.96677,
        1.99493,
        1.95948,
        1.99633,
        1.97921,
        2.05639,
        2.00169,
        1.97728,
        1.99411,
        2.01365,
        2.03261,
        2.01624,
        2.02092,
        2.01358,
        2.02088,
        2.01629,
        1.99895,
        2.02123,
        1.98903,
        1.99786,
        2.0436,
        2.04262,
        2.02279,
        2.00444,
        1.97468,
        2.00457,
        1.9787,
        2.02727,
        2.02672,
        2.01543,
        1.99186,
        1.99342,
        2.02106,
        2.04923,
        2.05315,
        2.0301,
        2.03476,
        2.00646,
        1.97681,
        2.01004,
        1.97805,
        2.01531,
        2.03623,
        1.97079,
        1.99553,
        1.98949,
        2.0193,
        2.00944,
        1.98795,
        2.00411,
        1.97138,
        1.99793,
        1.98861,
        1.99348,
        1.9854,
        1.97473,
        1.97542,
        1.98224,
        1.96642,
        2.00828,
        2.02679,
        2.0018,
        2.00838,
        2.02279,
        2.01423,
        2.01805,
        1.99828,
        1.99307,
        2.02356,
        2.0331,
        2.03361,
        2.00591,
        2.01148,
        2.00519,
        1.98407,
        1.99034,
        2.00883,
        1.9992,
        2.00332,
        2.01578,
        2.01076,
        2.02555,
        2.02862,
        1.98251,
        1.98074,
        1.96119,
        2.03063,
        2.00065,
        1.9902,
        1.97216,
        1.9977,
        2.00651,
        1.99949,
        2.01696,
        1.99145,
        2.02641,
        1.99356,
        2.01727,
        2.04957,
        2.02866,
        2.00108,
        2.00512,
        2.02246,
        2.02943,
        2.03982,
        2.04337,
        2.00775,
        1.98472,
        2.06108,
        1.99936,
        2.01326,
        2.0159,
        2.04387,
        2.05234,
        2.0547,
        2.02018,
        1.99739,
        1.99535,
        2.00702,
        2.0131,
        1.97716,
        1.9771,
        2.01325,
        2.03867,
        2.19966,
        2.00616,
        2.03499,
        2.0083,
        2.03063,
        2.01306,
        2.03199,
        2.04603,
        2.00454,
        2.02567,
        2.02524,
        2.03443,
        2.06833,
        2.03542,
        2.0282,
        2.03584,
        2.04821,
        2.04848,
        2.04901,
        2.01211,
        2.0188,
        2.06182,
        1.99788,
        2.01636,
        1.97333,
        1.95997,
        1.99253,
        2.02092,
        2.04805,
        2.00927,
        2.01273,
        2.02625,
        2.01028,
        1.97788,
        2.00846,
        2.02831,
        1.98929,
        1.99391,
        2.05977,
        2.05993,
        2.02664,
        2.02359,
        2.05568,
        2.02469,
        2.01266,
        1.99431,
        2.01299,
        2.04139,
        2.04554,
        2.04494,
        2.03171,
        2.01623,
        2.0162,
        1.99681,
        2.0487,
        1.9706,
        2.02389,
        2.06448,
        2.04838,
        2.02226,
        2.01282,
        2.03046,
        2.04481,
        2.05758,
        2.10125,
        2.08191,
        2.00227,
        2.00635,
        2.01133,
        1.99683,
        1.98485,
        2.00932,
        2.03079,
        2.0216,
        2.03568,
        1.99314,
        2.00798,
        2.00457,
        1.99237,
        2.03357,
        2.00057,
        2.00018,
        1.98972,
        1.95374,
        1.95908,
        2.02086,
        2.02972,
        1.97569,
        1.97066,
        1.95838,
        1.97291,
        2.01746,
        2.02204,
        2.04536,
        2.05024,
        2.07056,
        2.05868,
        1.96757,
        2.0056,
        1.98023,
        1.93689,
        1.97088,
        2.02611,
        1.96967,
        1.95953,
        2.00382,
        2.00255,
        2.03045,
        1.98707,
        1.99636,
        1.9939,
        1.99032,
        2.04077,
        2.03703,
        1.98051,
        2.00067,
        2.02217,
        2.01272,
        2.04622,
        2.03452,
        2.04643,
        2.05751,
        1.99424,
        1.98776,
        2.06876,
        2.00189,
        2.01457,
        2.01786,
        1.96062,
        1.98689,
        1.98511,
        2.00725,
        2.03357,
        2.04273,
        1.97264,
        1.98815,
        2.07493,
        2.0237,
        2.09293,
        2.08989,
        2.06858,
        2.065,
        2.1051,
        2.13787,
        2.11782,
        2.17233,
        2.0921,
        2.13481,
        2.13971,
        2.13483,
        2.17462,
        2.14478,
        2.13154,
        2.07592,
        2.20077,
        2.19722,
        2.26044,
        2.20064,
        2.22673,
        2.29021,
        2.29655,
        2.21851,
        2.17078,
        2.2104,
        2.22452,
        2.31452,
        2.22356,
        2.14507,
        2.08351,
        2.04778,
        2.1693,
        2.10717,
        2.12443,
        2.18895,
        2.08136,
        2.21285,
        2.02767,
        2.00185,
        1.82389,
        1.98936,
        2.11928,
        2.12063,
        2.18824,
        2.26498,
        1.98325,
        null,
        2.10877,
        2.27035,
        2.20063,
        2.08208,
        2.26299,
        2.30744,
        2.04554,
        2.23247,
        2.15486,
        2.05764,
        1.97963,
        1.80808,
        1.95194,
        2.18533,
        2.19194,
        1.8841,
        1.88658,
        1.95661,
        2.12901,
        2.21131,
        2.08275,
        1.99665,
        1.90045,
        2.005,
        2.0473,
        1.90209,
        1.97086,
        2.15809,
        2.07346,
        1.97822,
        1.98665,
        1.95986,
        2.00416,
        2.06419,
        2.02477,
        2.10708,
        2.09847,
        1.94982,
        2.04233,
        2.04486,
        1.97729,
        2.02999,
        1.98306,
        2.0553,
        2.052,
        2.02708,
        2.01104,
        1.98536,
        2.01031,
        2.01653,
        1.98643,
        2.03755,
        1.94697,
        2.00351,
        1.97808,
        1.98067,
        2.03921,
        2.0172,
        2.03305,
        1.97536,
        2.01756,
        1.98163,
        2.05294,
        1.99737,
        2.0625,
        2.01674,
        1.98984,
        2.02722,
        2.00816,
        2.05764,
        2.02667,
        2.02846,
        1.97405,
        2.00828,
        2.02453,
        2.00666,
        1.96235,
        1.98002,
        2.01187,
        2.05871,
        2.0155,
        2.06461,
        2.07316,
        2.05043,
        2.04651,
        2.00482,
        1.93379,
        1.98702,
        1.92314,
        1.93476,
        1.97767,
        1.99552,
        2.03446,
        2.02696,
        2.00526,
        2.0484,
        2.04756,
        2.00915,
        2.03832,
        2.07398,
        2.03091,
        2.02287,
        2.02161,
        2.00647,
        1.97343,
        2.00588,
        1.95661,
        1.98778,
        1.9617,
        2.04307,
        2.01686,
        1.98731,
        1.95849,
        1.98692,
        2.04029,
        2.04257,
        2.08922,
        1.99359,
        2.01289,
        1.99897,
        1.95724,
        1.99861,
        2.01614,
        2.04959,
        1.93088,
        2.00484,
        2.00676,
        2.00077,
        1.98352,
        1.99671,
        1.98512,
        2.04958,
        2.0073,
        2.02351,
        2.02781,
        2.03075,
        2.04402,
        1.99344,
        1.92141,
        2.04319,
        2.06743,
        2.01753,
        2.01778,
        2.0627,
        2.06727,
        2.01629,
        2.06036,
        2.04843,
        2.04392,
        1.98006,
        1.99072,
        1.98018,
        2.00088,
        2.02554,
        1.99812,
        2.03939,
        2.00865,
        2.05056,
        2.07431,
        2.03077,
        2.05107,
        2.00773,
        2.02438,
        2.05994,
        1.99279,
        1.96875,
        1.99467,
        1.97053,
        1.95667,
        2.05575,
        2.07971,
        2.10246,
        2.06597,
        2.01133,
        1.94225,
        1.99764,
        2.02698,
        2.03118,
        1.99973,
        2.02038,
        1.99914,
        2.07246,
        2.03219,
        2.06414,
        2.10229,
        2.05565,
        2.00601,
        1.96804,
        1.95663,
        1.95161,
        1.95658,
        2.03396,
        2.08713,
        2.00478,
        2.06625,
        2.0128,
        2.02064,
        2.0234,
        1.98004,
        1.96034,
        1.99519,
        2.00787,
        2.03745,
        2.0177,
        2.02639,
        2.09067,
        2.07962,
        1.99984,
        2.0207,
        2.03926,
        2.03532,
        2.06999,
        2.07468,
        2.05132,
        2.07222,
        1.98726,
        2.01336,
        2.03947,
        2.01428,
        2.01823,
        2.02875,
        1.97911,
        1.944,
        1.97683,
        2.01942,
        1.9817,
        1.96138,
        2.0112,
        2.03797,
        2.07833,
        2.06868,
        2.061,
        2.01263,
        1.98105,
        2.0274,
        1.99765,
        2.05203,
        2.03065,
        1.95325,
        2.0284,
        2.04733,
        2.08096,
        2.01404,
        2.06369,
        2.09743,
        2.06384,
        2.01361,
        2.00561,
        2.04506,
        2.0259,
        2.00169,
        2.04639,
        2.05066,
        2.10265,
        2.02384,
        1.98051,
        2.03997,
        2.0656,
        2.03692,
        2.03675,
        2.03914,
        1.9754,
        1.98388,
        2.06735,
        2.05935,
        2.06614,
        2.06887,
        2.02064,
        2.0358,
        2.04027,
        1.9972,
        2.06024,
        1.94732,
        1.91027,
        1.9425,
        1.94167,
        1.92821,
        2.037,
        1.96953,
        1.86543,
        1.93399,
        2.06046,
        1.94375,
        1.92567,
        1.97082,
        2.05815,
        2.10602,
        2.07715,
        2.03806,
        2.06331,
        1.96828,
        1.91915,
        1.96296,
        2.01355,
        1.96992,
        2.03102,
        2.01894,
        2.07114,
        2.08259,
        2.21942,
        2.19827,
        2.17247,
        2.03996,
        2.01366,
        2.08299,
        2.12037,
        2.13562,
        2.17308,
        1.8493,
        1.81218,
        2.02754,
        1.96353,
        2.03268,
        2.09881,
        2.14356,
        null,
        2.04743,
        2.32703,
        2.09168,
        2.04623,
        1.87709,
        2.05985,
        2.02474,
        2.08098,
        2.14253,
        2.12097,
        1.97197,
        1.9448,
        2.02997,
        2.12529,
        2.23698,
        2.06783,
        1.95296,
        1.91823,
        1.96208,
        1.96019,
        2.01257,
        2.08627,
        1.99862,
        2.0081,
        2.01507,
        2.05183,
        2.03287,
        2.06609,
        2.065,
        2.02831,
        1.986,
        2.06466,
        2.11528,
        2.11264,
        2.0413,
        2.12654,
        2.01682,
        2.00377,
        1.94265,
        1.94504,
        1.9695,
        1.92413,
        1.98988,
        2.02095,
        2.07133,
        2.04389,
        2.00056,
        2.05668,
        2.0145,
        1.98263,
        2.02473,
        2.13524,
        2.08275,
        2.00964,
        1.96689,
        1.96943,
        1.97344,
        1.97477,
        1.98687,
        2.02747,
        2.01034,
        2.02468,
        2.08532,
        2.13157,
        2.03582,
        2.01411,
        1.97018,
        2.02539,
        1.97342,
        1.96633,
        1.9534,
        2.03382,
        1.96883,
        1.92968,
        2.01745,
        1.99951,
        2.1343,
        2.03126,
        1.96616,
        2.01696,
        2.01518,
        2.12924,
        1.96397,
        1.91619,
        2.14794,
        1.94155,
        1.98036,
        2.03462,
        2.07235,
        2.02573,
        2.17996,
        1.94627,
        1.88752,
        1.97174,
        1.96234,
        1.98764,
        1.98567,
        2.01746,
        1.9763,
        1.95049,
        2.03923,
        1.99441,
        1.99717,
        2.01654,
        2.04904,
        2.00357,
        1.95752,
        2.01919,
        2.02084,
        2.03652,
        1.94153,
        1.94557,
        1.92876,
        1.92928,
        1.95988,
        1.98114,
        1.98312,
        1.97959,
        1.98546,
        1.9936,
        1.95043,
        1.98103,
        2.00233,
        1.99322,
        2.00734,
        1.97533,
        2.02765,
        1.99558,
        1.94546,
        1.95885,
        1.97905,
        1.98239,
        2.01227,
        1.98661,
        1.96949,
        2.01255,
        1.98672,
        2.01667,
        2.07104,
        2.01459,
        1.97093,
        1.99397,
        1.99672,
        1.95498,
        2.03341,
        1.99175,
        1.95651,
        2.05556,
        2.03231,
        2.00216,
        1.97223,
        2.00881,
        1.965,
        2.02724,
        1.9451,
        1.94648,
        1.99701,
        1.99719,
        1.98491,
        2.00015,
        2.00255,
        2.02483,
        1.97,
        1.96708,
        2.05857,
        2.01165,
        2.02581,
        1.96902,
        2.02333,
        2.00788,
        2.00234,
        1.93736,
        1.97032,
        1.95155,
        1.98362,
        2.02156,
        2.00201,
        1.97221,
        2.02497,
        2.03365,
        2.06826,
        2.01342,
        2.01423,
        1.9476,
        1.96833,
        2.03643,
        1.97801,
        1.97937,
        2.00224,
        2.00117,
        2.03206,
        2.02371,
        2.01636,
        2.02398,
        2.02785,
        1.98477,
        1.96425,
        2.02747,
        1.97486,
        1.97271,
        2.02763,
        1.99273,
        2.0046,
        2.00141,
        1.9813,
        1.96896,
        2.0106,
        1.99308,
        1.98651,
        2.00462,
        1.95211,
        1.96702,
        1.95634,
        1.95388,
        1.99002,
        2.0233,
        2.00713,
        1.98753,
        2.01084,
        1.97622,
        1.99589,
        1.98389,
        1.98315,
        2.01409,
        1.9951,
        1.9973,
        2.0161,
        1.98078,
        2.01876,
        2.00935,
        1.99394,
        2.0263,
        2.01119,
        1.9854,
        1.95742,
        2.00569,
        2.01856,
        2.01036,
        2.00706,
        2.01823,
        2.03559,
        2.01373,
        2.0007,
        2.02482,
        1.98465,
        1.99298,
        1.99,
        1.99833,
        1.99411,
        1.96902,
        1.95446,
        1.99082,
        1.97595,
        2.01102,
        1.99264,
        2.06334,
        2.06749,
        2.02568,
        2.03267,
        2.03936,
        1.9547,
        2.00298,
        1.98721,
        2.02165,
        2.00533,
        1.97771,
        1.99252,
        1.98062,
        1.97943,
        2.07241,
        1.99272,
        1.96579,
        1.96751,
        1.9756,
        1.98341,
        1.98343,
        2.00348,
        1.94604,
        2.00989,
        2.04547,
        2.00898,
        2.00341,
        2.0081,
        1.96721,
        2.01023,
        2.02192,
        2.06008,
        2.04799,
        2.01214,
        1.97617,
        1.98247,
        1.96743,
        2.02446,
        2.01852,
        2.00849,
        1.98378,
        2.02008,
        2.05404,
        2.06734,
        2.0637,
        2.05497,
        1.9607,
        2.01462,
        2.03675,
        1.99312,
        2.03948,
        2.05984,
        1.97435,
        2.00269,
        2.03065,
        2.02024,
        2.00604,
        2.02046,
        1.98013,
        2.02537,
        2.0132,
        1.99115,
        1.99527,
        1.96034,
        1.98632,
        1.95459,
        1.97533,
        1.97326,
        2.03447,
        2.03192,
        2.01104,
        1.98415,
        1.99921,
        2.08232,
        1.99013,
        1.96768,
        1.97783,
        1.97917,
        1.97209,
        1.98142,
        2.00267,
        1.9837,
        1.9897,
        2.00575,
        1.99592,
        2.024,
        2.02964,
        1.96947,
        1.98593,
        2.00384,
        2.00502,
        2.0196,
        1.992,
        2.04155,
        2.04226,
        2.04072,
        2.01805,
        2.03223,
        1.98243,
        1.97418,
        1.93762,
        2.02477,
        2.00194,
        2.06118,
        2.01505,
        2.04847,
        2.03541,
        2.03514,
        2.01043,
        1.99655,
        2.03185,
        2.04092,
        2.04415,
        2.01603,
        1.99838,
        1.97743,
        2.0411,
        2.03466,
        2.00411,
        1.97917,
        2.0082,
        2.03388,
        2.00277,
        2.01509,
        1.96548,
        1.9942,
        2.01832,
        1.9775,
        1.99366,
        1.99054,
        1.99999,
        2.01921,
        2.02533,
        1.94703,
        2.00362,
        1.97071,
        2.04003,
        2.02747,
        2.01259,
        2.00324,
        2.09148,
        1.98507,
        2.02829,
        2.02249,
        2.01811,
        1.99578,
        2.00774,
        2.03101,
        2.02887,
        1.95059,
        1.98993,
        1.95541,
        2.00699,
        1.94834,
        1.9649,
        1.98915,
        1.97408,
        2.01541,
        2.00782,
        1.96366,
        2.01205,
        1.98436,
        2.01442,
        2.00695,
        2.00234,
        1.99692,
        2.04023,
        1.97474,
        1.97852,
        1.98451,
        1.97095,
        2.05976,
        1.94336,
        2.00146,
        2.03817,
        1.98054,
        1.92673,
        2.00674,
        2.02892,
        1.94934,
        2.02201,
        1.98861,
        1.97765,
        1.98685,
        1.93876,
        1.95979,
        1.99958,
        2.01771,
        1.92819,
        1.89039,
        1.97193,
        2.03247,
        1.96358,
        1.96941,
        1.91411,
        2.0255,
        2.05616,
        1.93691,
        1.94809,
        2.01071,
        1.96648,
        1.9622,
        1.94891,
        1.96258,
        1.99793,
        2.09218,
        2.03254,
        2.01578,
        null,
        1.94918,
        1.96885,
        1.95712,
        1.97199,
        1.95155,
        1.97383,
        1.95339,
        1.97109,
        1.97418,
        1.96971,
        1.9869,
        1.99958,
        2.00687,
        1.98054,
        2.00849,
        2.013,
        1.9914,
        1.9845,
        1.97474,
        2.02987,
        1.99731,
        1.98889,
        2.00782,
        2.02504,
        2.02682,
        1.97439,
        1.96746,
        1.98217,
        1.93774,
        1.96465,
        2.01862,
        2.00204,
        2.008,
        1.94001,
        2.00909,
        1.9997,
        1.90625,
        1.93376,
        1.94362,
        1.9836,
        1.99268,
        1.97353,
        1.96773,
        1.96953,
        2.00056,
        1.96825,
        1.99361,
        2.00381,
        1.97596,
        1.97108,
        1.97587,
        1.96262,
        1.97555,
        1.96179,
        1.9407,
        1.98341,
        1.94906,
        1.9767,
        1.9702,
        1.95429,
        2.02181,
        2.01909,
        2.05624,
        2.00926,
        2.00789,
        2.03234,
        2.03187,
        2.02699,
        2.01705,
        1.96646,
        1.9755,
        2.01605,
        1.95029,
        1.9905,
        2.00993,
        1.98327,
        2.03602,
        2.01596,
        2.04054,
        2.01981,
        2.01369,
        2.03011,
        1.95864,
        1.98209,
        1.98259,
        1.98312,
        1.99334,
        1.96544,
        1.97267,
        1.98842,
        1.99293,
        2.0292,
        1.99657,
        1.99784,
        1.96977,
        2.01594,
        2.01207,
        1.97301,
        2.01501,
        2.04887,
        1.82931,
        1.8379,
        1.91724,
        2.15084,
        2.15011,
        2.16183,
        2.27818,
        2.12339,
        2.09459,
        2.06895,
        1.98926,
        1.92137,
        1.96711,
        1.96221,
        1.95158,
        1.9855,
        2.01123,
        2.03727,
        1.99293,
        1.98026,
        2.03621,
        1.98709,
        1.95902,
        1.94143,
        1.98456,
        1.98032,
        1.96883,
        1.95701,
        1.97034,
        2.00385,
        2.00843,
        1.99822,
        1.98288,
        1.99745,
        1.96707,
        2.00386,
        1.97903,
        1.98606,
        1.98838,
        2.00552,
        1.96895,
        1.96286,
        1.94845,
        1.99075,
        1.9833,
        1.97562,
        1.98964,
        1.97946,
        1.9825,
        1.97053,
        1.97627,
        1.9834,
        1.9774,
        1.9927,
        1.98527,
        1.97656,
        1.9907,
        1.99945,
        1.95109,
        1.97619,
        2.00217,
        1.98649,
        1.97882,
        1.97118,
        2.00632,
        2.0083,
        1.98003,
        1.96545,
        1.97712,
        2.02183,
        2.01687,
        2.01402,
        2.00657,
        1.97143,
        1.98957,
        2.02692,
        2.00041,
        1.96505,
        1.97534,
        1.97602,
        1.99673,
        1.97264,
        2.00647,
        1.95652,
        1.94928,
        1.97874,
        1.98992,
        1.95833,
        1.96283,
        1.99122,
        1.9815,
        2.0177,
        1.99352,
        1.99715,
        1.9948,
        1.99005,
        1.95809,
        2.00456,
        1.95622,
        2.00235,
        1.96348,
        1.97649,
        1.96091,
        1.96694,
        2.00743,
        2.00469,
        1.99216,
        1.98984,
        1.96838,
        1.9873,
        2.02337,
        2.00235,
        1.97256,
        1.95359,
        1.95687,
        1.97058,
        1.97722,
        1.98234,
        1.96172,
        1.98838,
        1.97453,
        1.98349,
        1.95672,
        2.00127,
        1.9942,
        1.96343,
        1.96687,
        1.98714,
        1.97165,
        1.95665,
        1.98422,
        1.97573,
        1.95196,
        1.96254,
        1.95932,
        1.96349,
        1.97044,
        1.97346,
        2.01206,
        1.97817,
        1.93671,
        1.96574,
        1.98787,
        1.97591,
        1.98154,
        1.95373,
        2.00054,
        1.98465,
        1.96785,
        1.9728,
        1.97501,
        1.97224,
        1.94627,
        1.97486,
        1.98072,
        1.98594,
        1.97678,
        1.98736,
        1.96613,
        1.99393,
        1.95545,
        1.9341,
        1.98627,
        1.99243,
        1.98068,
        1.98147,
        1.97642,
        1.97674,
        1.95876,
        1.95609,
        1.98861,
        1.99883,
        1.98324,
        1.98109,
        1.98084,
        1.98472,
        1.99587,
        2.00439,
        1.94279,
        1.94134,
        1.93846,
        1.96837,
        1.99224,
        1.94674,
        1.9547,
        1.95981,
        1.98936,
        1.96479,
        1.9499,
        1.98623,
        1.99345,
        2.01185,
        1.99382,
        1.98998,
        1.98768,
        1.9977,
        2.01636,
        1.9855,
        2.0435,
        1.99404,
        1.98975,
        1.99118,
        1.99399,
        2.04679,
        1.98825,
        1.95884,
        1.97239,
        1.95227,
        1.98235,
        2.0164,
        2.02321,
        2.0239,
        2.0486,
        2.01919,
        1.99655,
        1.97858,
        2.03614,
        2.01503,
        2.03832,
        2.0082,
        2.04518,
        2.02501,
        2.04941,
        2.07433,
        2.06501,
        2.09651,
        2.06573,
        2.06275,
        2.07615,
        2.09234,
        2.13206,
        2.12999,
        2.10729,
        2.09127,
        2.11849,
        2.1182,
        2.1261,
        2.1428,
        2.16317,
        2.17073,
        2.1458,
        2.14809,
        2.11893,
        2.12302,
        2.13861,
        2.11165,
        2.04658,
        2.05114,
        2.04238,
        2.01349,
        2.05281,
        2.04473,
        2.03093,
        2.01797,
        2.03026,
        1.98094,
        1.99225,
        2.01053,
        1.98347,
        2.00389,
        1.98215,
        1.98775,
        1.96745,
        1.95973,
        1.98085,
        2.00855,
        1.99775,
        1.97525,
        1.96562,
        1.96924,
        2.00235,
        1.96638,
        1.95662,
        1.96599,
        1.97768,
        1.98816,
        1.99051,
        2.00009,
        1.9906,
        2.00255,
        2.0085,
        1.98715,
        1.96178,
        1.9723,
        1.99504,
        1.98016,
        1.9886,
        1.96925,
        1.95805,
        1.96323,
        1.97344,
        1.98216,
        1.9879,
        1.98506,
        1.99147,
        1.96939,
        1.99033,
        2.01159,
        1.96753,
        1.94384,
        1.98514,
        1.96142,
        2.01207,
        2.01723,
        1.997,
        1.98497,
        1.99997,
        1.96482,
        1.99383,
        1.9909,
        1.99378,
        1.99998,
        1.97083,
        1.967,
        1.95529,
        1.98125,
        1.96847,
        1.95327,
        1.9936,
        1.97686,
        1.97881,
        1.98475,
        1.98517,
        1.97826,
        1.99969,
        1.96982,
        1.97586,
        1.93888,
        1.96948,
        1.95112,
        1.99045,
        1.99639,
        1.93058,
        1.96845,
        2.02635,
        2.00262,
        1.98287,
        1.95169,
        1.97997,
        1.98803,
        1.96069,
        1.99634,
        2.00221,
        2.00697,
        1.987,
        1.95267,
        1.95192,
        1.96071,
        1.96581,
        2.01183,
        1.95974,
        1.95909,
        1.99614,
        1.98468,
        1.99857,
        2.02142,
        1.99594,
        2.06459,
        2.05878,
        2.00665,
        1.9936,
        1.9949,
        1.95871,
        2.00003,
        2.05906,
        2.09582,
        2.00555,
        2.0217,
        1.98778,
        2.01377,
        1.9929,
        2.03624,
        2.01281,
        1.99645,
        1.99924,
        2.01066,
        1.99354,
        1.99439,
        2.00799,
        1.97423,
        2.01327,
        1.96976,
        2.01267,
        1.9606,
        1.95159,
        1.97939,
        1.92028,
        1.93852,
        1.97292,
        1.97074,
        1.99283,
        1.94394,
        1.97156,
        1.96407,
        1.95723,
        2.01389,
        1.98606,
        2.00507,
        1.98466,
        1.96714,
        1.97713,
        1.96494,
        1.99067,
        1.99472,
        2.00038,
        2.01986,
        1.96957,
        2.00204,
        1.9856,
        2.00847,
        1.97487,
        1.97876,
        1.99931,
        2.00334,
        1.93936,
        1.97418,
        1.98242,
        1.97859,
        2.0026,
        1.99015,
        1.97338,
        1.98694,
        1.99999,
        2.00348,
        2.01434,
        2.00714,
        2.00667,
        1.99834,
        1.96845,
        1.95024,
        1.96544,
        1.9741,
        1.95662,
        2.01497,
        2.01659,
        1.95668,
        1.9527,
        1.98691,
        1.99833,
        1.94556,
        1.94427,
        1.94017,
        1.98793,
        2.00203,
        2.00221,
        1.97036,
        1.97297,
        1.96529,
        1.95402,
        1.99715,
        1.9635,
        1.9953,
        1.98158,
        1.94944,
        2.00065,
        1.96081,
        1.95041,
        1.98866,
        2.02482,
        2.07892,
        2.01438,
        1.95977,
        2.01532,
        2.01459,
        2.01833,
        1.96714,
        2.0269,
        1.99983,
        2.00506,
        2.00969,
        1.98486,
        2.00166,
        2.03109,
        2.03454,
        2.01168,
        2.00378,
        1.98194,
        1.99072,
        1.97265,
        1.95952,
        2.03931,
        2.00876,
        1.9956,
        2.03911,
        2.00192,
        1.97774,
        2.00314,
        1.98143,
        1.96044,
        1.94423,
        2.02315,
        1.99948,
        1.99827,
        1.97603,
        1.98004,
        1.95725,
        1.97677,
        1.98157,
        1.98873,
        2.01883,
        1.99699,
        1.94867,
        1.97838,
        1.97426,
        1.92017,
        1.92585,
        1.95745,
        1.94114,
        1.96418,
        1.97357,
        2.03394,
        1.99278,
        1.97556,
        1.98898,
        2.02164,
        1.99694,
        1.93809,
        2.06366,
        1.95939,
        1.92534,
        2.15605,
        2.0134,
        2.05773,
        1.85335,
        2.29038,
        2.02973,
        1.99255,
        1.91657,
        1.92519,
        2.10468,
        1.98665,
        2.04082,
        2.00141,
        2.00997,
        2.03644,
        1.93392,
        1.94234,
        2.02664,
        1.94367,
        1.95705,
        1.87391,
        1.99079,
        1.99321,
        1.95902,
        2.04903,
        2.05148,
        2.01238,
        1.97258,
        1.98741,
        2.0197,
        2.00837,
        1.99079,
        1.98961,
        1.98187,
        1.99867,
        1.98019,
        1.9662,
        1.96176,
        2.01345,
        1.98911,
        1.9418,
        1.9816,
        1.93582,
        1.96345,
        1.95498,
        1.97115,
        1.96596,
        1.97373,
        1.98616,
        1.998,
        1.98261,
        2.00352,
        1.95693,
        1.97379,
        1.95234,
        1.96869,
        2.01811,
        1.98847,
        1.98234,
        1.96089,
        1.96847,
        1.98007,
        1.98657,
        1.98268,
        2.02621,
        2.0138,
        2.00484,
        1.97157,
        2.01266,
        2.0095,
        2.01947,
        1.98546,
        2.00549,
        1.98668,
        1.97699,
        1.99784,
        1.96995,
        1.98833,
        1.98751,
        2.00758,
        2.0233,
        1.95783,
        1.95312,
        1.96984,
        1.95189,
        1.97922,
        1.97546,
        1.9902,
        1.98645,
        1.96838,
        1.96292,
        1.96478,
        2.00061,
        2.00265,
        1.95734,
        1.96267,
        1.96954,
        2.01908,
        2.01864,
        1.95249,
        1.9489,
        1.97723,
        1.99856,
        2.01553,
        1.99186,
        2.01007,
        1.99383,
        1.99413,
        2.00316,
        1.98227,
        1.98827,
        1.99676,
        2.01052,
        1.98256,
        2.00811,
        1.96549,
        1.95293,
        1.94978,
        2.00069,
        2.0306,
        1.9765,
        1.99151,
        1.99162,
        1.99328,
        2.00643,
        2.02065,
        1.99954,
        2.00623,
        1.99835,
        1.98539,
        1.99445,
        2.01079,
        1.99766,
        2.02796,
        1.99176,
        1.99582,
        1.98672,
        2.01003,
        1.98607,
        1.98534,
        1.96146,
        1.96391,
        1.99376,
        2.00611,
        1.98422,
        1.9758,
        1.96442,
        2.01096,
        1.99636,
        1.98844,
        2.00948,
        1.99529,
        1.98775,
        1.98032,
        1.98775,
        1.98653,
        2.01375,
        2.01921,
        2.00955,
        1.98561,
        1.97533,
        1.9737,
        1.97581,
        1.97525,
        1.98746,
        1.98828,
        1.97651,
        1.95551,
        1.94507,
        1.95575,
        1.9629,
        1.97104,
        2.00025,
        1.98922,
        1.98873,
        1.9713,
        1.97688,
        1.98982,
        2.00348,
        1.98686,
        1.99541,
        1.99659,
        2.00408,
        1.95094,
        1.99735,
        2.006,
        1.98383,
        1.97044,
        1.9746,
        1.93071,
        1.97829,
        1.98982,
        1.96064,
        1.96094,
        1.96257,
        1.97644,
        1.99519,
        1.99976,
        1.99043,
        2.00314,
        2.00787,
        1.97245,
        1.98064,
        1.99089,
        1.99526,
        2.0018,
        1.97685,
        1.96459,
        1.96395,
        1.97102,
        1.97792,
        1.96148,
        1.95397,
        1.97087,
        1.95542,
        1.97052,
        2.00776,
        1.99056,
        1.97578,
        1.97687,
        1.94039,
        2.00256,
        1.97815,
        1.94071,
        1.96663,
        1.9983,
        1.98345,
        1.9379,
        1.92719,
        1.9643,
        1.97582,
        1.96885,
        1.97523,
        1.96069,
        1.95182,
        1.99337,
        2.01518,
        1.97327,
        1.94916,
        1.95253,
        1.98049,
        1.95987,
        1.96032,
        2.00618,
        1.99464,
        1.95682,
        1.97948,
        1.97415,
        1.96543,
        1.93029,
        1.97261,
        1.9602,
        2.00646,
        1.98519,
        1.95677,
        1.99724,
        1.98791,
        2.00153,
        2.01315,
        1.9835,
        1.97882,
        1.98737,
        1.97282,
        1.96515,
        1.98526,
        1.96815,
        1.95967,
        1.94695,
        1.95283,
        1.98007,
        2.00146,
        1.95982,
        1.97607,
        1.9661,
        2.00709,
        1.99384,
        1.99849,
        1.97933,
        2.01467,
        1.99446,
        2.02987,
        2.00616,
        2.02399,
        2.05357,
        2.02098,
        2.02015,
        2.02435,
        1.98195,
        2.03648,
        2.01519,
        2.04498,
        2.06855,
        2.09528,
        2.04243,
        2.01768,
        2.0248,
        2.04447,
        2.08627,
        2.08591,
        2.08747,
        2.12532,
        2.13931,
        2.134,
        2.12178,
        2.10008,
        2.07963,
        2.08419,
        2.07386,
        2.04402,
        2.03289,
        2.04792,
        2.04823,
        2.02915,
        2.00483,
        2.01201,
        1.99031,
        1.98278,
        2.00445,
        2.02793,
        1.99198,
        1.98318,
        2.00314,
        1.99937,
        1.98858,
        1.95918,
        1.95682,
        1.96167,
        1.98571,
        2.00203,
        1.9981,
        1.9548,
        1.96615,
        1.94468,
        1.95613,
        1.97951,
        1.95522,
        1.9726,
        1.96331,
        1.98647,
        2.00242,
        2.01961,
        2.00899,
        2.01589,
        1.991,
        1.96382,
        1.97733,
        1.99085,
        1.96212,
        1.997,
        2.00235,
        1.98765,
        1.96555,
        1.98332,
        1.98093,
        1.97713,
        1.98633,
        2.00252,
        2.0272,
        1.98924,
        2.00647,
        1.97657,
        1.95583,
        1.94807,
        1.92855,
        1.93471,
        1.99264,
        1.93913,
        1.92813,
        1.979,
        2.00666,
        1.9819,
        2.00068,
        1.99642,
        1.96086,
        1.94613,
        2.00647,
        1.98818,
        1.95864,
        1.96337,
        1.9792,
        1.98288,
        1.95353,
        1.97717,
        1.97637,
        1.95502,
        1.98417,
        1.94764,
        1.98856,
        1.97446,
        1.97436,
        1.95952,
        1.96024,
        1.99304,
        1.98198,
        1.94346,
        1.9497,
        1.96483,
        1.9782,
        2.00762,
        1.98164,
        1.98199,
        1.98017,
        1.96012,
        1.95519,
        2.00154,
        2.00067,
        1.986,
        1.98017,
        2.01071,
        2.00548,
        1.96573,
        1.98533,
        1.93854,
        1.95529,
        1.97244,
        1.95883,
        1.94815,
        1.9411,
        1.98489,
        1.98698,
        1.95441,
        1.96755,
        1.94321,
        1.94447,
        2.00448,
        1.99628,
        1.97007,
        1.95709,
        1.95229,
        1.94058,
        1.9779,
        1.97392,
        1.95057,
        1.97744,
        1.99857,
        1.95189,
        1.95357,
        1.95416,
        1.95865,
        2.00356,
        1.99967,
        1.96412,
        1.94,
        1.95913,
        1.92201,
        1.97638,
        1.99844,
        1.99464,
        1.97442,
        1.98624,
        1.98282,
        1.97697,
        2.00976,
        2.00891,
        1.96811,
        1.98476,
        1.95811,
        1.9441,
        1.94863,
        1.96333,
        1.95869,
        1.95215,
        1.96163,
        1.92026,
        1.97615,
        1.9892,
        1.9787,
        1.98009,
        1.98423,
        2.0096,
        1.96826,
        1.97917,
        1.97523,
        1.97761,
        1.96268,
        1.99092,
        2.00416,
        2.00117,
        2.00829,
        1.99149,
        1.96558,
        1.98159,
        1.96588,
        1.96193,
        1.97551,
        1.9716,
        1.96681,
        1.96759,
        1.98303,
        1.95047,
        1.97139,
        2.01392,
        2.0075,
        2.00059,
        2.03208,
        1.99429,
        1.97759,
        1.9502,
        1.9902,
        2.04126,
        2.02593,
        1.98593,
        1.94729,
        1.95068,
        1.98042,
        1.99097,
        1.97055,
        1.96274,
        1.9896,
        1.97763,
        2.00512,
        1.98829,
        1.97617,
        1.98607,
        1.98798,
        2.01639,
        1.99076,
        1.96518,
        2.01957,
        1.98683,
        1.98973,
        1.9529,
        1.96802,
        1.9652,
        1.97332,
        1.98645,
        2.00558,
        2.00929,
        2.02415,
        1.97649,
        1.95931,
        1.96459,
        1.98099,
        1.98929,
        1.99066,
        1.98703,
        1.97503,
        1.97807,
        1.99307,
        1.98288,
        1.96851,
        1.99779,
        1.98874,
        1.9803,
        1.96949,
        1.96654,
        1.9813,
        1.98655,
        1.96041,
        1.97009,
        1.98863,
        1.9681,
        1.98124,
        2.00763,
        2.00729,
        1.9913,
        2.01519,
        2.01592,
        2.00089,
        2.01336,
        1.98371,
        1.94682,
        1.94437,
        1.94545,
        1.96193,
        1.95443,
        1.96776,
        2.01929,
        2.00491,
        1.96141,
        1.95036,
        1.97568,
        2.01575,
        1.96185,
        1.97965,
        1.98217,
        1.98243,
        1.97291,
        1.97472,
        1.97934,
        2.0072,
        1.976,
        1.98339,
        2.03142,
        1.9704,
        1.98552,
        1.97367,
        1.96738,
        1.97673,
        1.98871,
        1.98502,
        1.99082,
        1.95072,
        1.99271,
        2.01145,
        1.99023,
        1.96571,
        1.95995,
        1.96628,
        2.00251,
        1.97171,
        1.98861,
        1.97701,
        1.97468,
        2.00813,
        2.01059,
        2.00378,
        1.97321,
        1.96481,
        1.97972,
        2.01951,
        1.99284,
        1.96666,
        1.9624,
        2.01006,
        2.0218,
        1.98112,
        2.00676,
        1.99111,
        2.00331,
        2.03283,
        2.00436,
        1.97028,
        1.96344,
        1.97958,
        1.97939,
        2.0048,
        1.98382,
        1.98175,
        1.96899,
        1.97384,
        1.96262,
        2.0069,
        1.97187,
        1.97061,
        1.98304,
        2.0208,
        1.93083,
        1.92306,
        1.98363,
        1.97008,
        1.97377,
        1.96036,
        1.98981,
        2.00605,
        1.98427,
        1.97715,
        2.0573,
        2.00497,
        1.98441,
        1.98934,
        2.01261,
        1.98917,
        1.9802,
        1.9843,
        2.00139,
        2.01109,
        1.98759,
        1.93845,
        1.9856,
        1.96951,
        1.97566,
        1.95822,
        2.0056,
        1.99382,
        1.98549,
        2.01496,
        2.00106,
        1.94907,
        1.95843,
        1.99387,
        1.97373,
        1.97881,
        2.00891,
        1.98727,
        1.97646,
        1.99051,
        1.97869,
        1.94084,
        2.00604,
        2.01474,
        1.97055,
        1.96874,
        2.00696,
        2.01114,
        1.9918,
        1.97244,
        2.00007,
        1.99212,
        1.97992,
        1.93181,
        1.99188,
        1.98829,
        1.99723,
        1.99723,
        1.97721,
        1.96722,
        1.96791,
        1.98951,
        1.98281,
        2.00278,
        1.9666,
        1.96985,
        1.97295,
        2.01306,
        2.00882,
        1.99298,
        1.99379,
        1.92445,
        1.9861,
        1.99386,
        1.98346,
        1.99506,
        2.02595,
        2.01471,
        1.98937,
        1.9626,
        2.02015,
        1.99348,
        1.96814,
        1.93501,
        1.97027,
        2.01524,
        2.00013,
        1.98262,
        1.99836,
        1.98826,
        2.00507,
        2.01159,
        2.00251,
        2.00136,
        1.9899,
        1.98771,
        1.98868,
        1.95861,
        1.99032,
        2.01678,
        1.94623,
        1.98577,
        2.01464,
        1.96779,
        1.98147,
        1.98088,
        1.98343,
        1.9441,
        1.97049,
        1.9713,
        1.95824,
        1.96653,
        1.96563,
        2.01741,
        1.96456,
        1.96074,
        2.03094,
        1.98382,
        1.98053,
        1.96832,
        1.96388,
        1.97567,
        2.00208,
        1.96354,
        1.98951,
        1.96877,
        1.99322,
        1.95986,
        1.95767,
        1.95934,
        1.9709,
        1.97844,
        1.99671,
        1.97777,
        1.95239,
        1.98326,
        1.99445,
        2.02601,
        1.97728,
        1.95395,
        2.00052,
        2.01377,
        2.01227,
        1.99505,
        2.01198,
        1.96564,
        1.96918,
        1.98852,
        2.03188,
        2.01253,
        2.01236,
        1.99848,
        1.93794,
        1.94373,
        2.00327,
        1.97769,
        1.99877,
        1.99793,
        2.01066,
        1.97694,
        1.97143,
        1.93984,
        1.96611,
        1.97302,
        1.95165,
        1.99456,
        2.01147,
        1.95696,
        2.00168,
        2.01406,
        2.02341,
        2.01916,
        1.99691,
        2.00869,
        1.9711,
        2.02575,
        1.98933,
        2.02928,
        2.03968,
        1.95923,
        1.97906,
        1.97341,
        1.96597,
        1.98664,
        1.93716,
        1.97082,
        1.97645,
        1.97361,
        2.01011,
        1.96539,
        1.95485,
        1.93466,
        1.99099,
        1.97645,
        1.93118,
        1.9902,
        2.04403,
        2.01352,
        1.98184,
        2.04789,
        2.07692,
        2.10032,
        1.94412,
        1.92491,
        1.93983,
        2.01032,
        2.05923,
        2.04673,
        1.9371,
        2.00691,
        1.97825,
        2.02762,
        1.94773,
        1.93828,
        1.98833,
        1.90841,
        2.0291,
        1.99388,
        1.94944,
        2.03415,
        1.99239,
        1.93359,
        2.01262,
        2.07207,
        1.99314,
        2.02571,
        2.00026,
        2.01615,
        1.97406,
        2.00486,
        2.01442,
        2.04103,
        1.99254,
        2.02887,
        1.9573,
        1.97709,
        1.96187,
        1.94979,
        1.97425,
        2.00201,
        1.94139,
        1.95265,
        1.96407,
        2.0701,
        2.08626,
        1.98322,
        1.98638,
        1.97454,
        1.97422,
        2.07464,
        2.0681,
        1.99919,
        1.95515,
        1.9719,
        2.05133,
        1.99797,
        1.89642,
        2.00866,
        2.0368,
        1.96799,
        1.97643,
        1.93654,
        1.96934,
        1.94196,
        1.96279,
        1.9847,
        1.97314,
        1.9838,
        1.98302,
        1.96469,
        2.01007,
        2.10499,
        2.09848,
        1.97888,
        1.98492,
        2.04312,
        2.01364,
        1.98395,
        1.98807,
        1.98478,
        1.95856,
        2.00593,
        2.03706,
        2.10653,
        2.0292,
        2.00786,
        1.95081,
        2.04284,
        2.02851,
        2.03243,
        2.00204,
        2.02324,
        2.04046,
        2.07402,
        2.09697,
        2.09738,
        2.10231,
        2.0423,
        2.05983,
        2.08993,
        2.0989,
        2.1939,
        2.29258,
        2.20239,
        2.07266,
        2.04849,
        2.10954,
        2.12537,
        2.17896,
        2.11062,
        2.05911,
        2.0669,
        2.11082,
        2.03272,
        1.98907,
        2.15749,
        2.04176,
        1.96904,
        1.97581,
        1.87227,
        1.9527,
        2.03888,
        1.95771,
        2.0849,
        2.00747,
        1.98982,
        1.97738,
        2.02232,
        2.03184,
        1.95759,
        2.02759,
        2.08398,
        1.98443,
        1.97576,
        2.00319,
        2.13155,
        2.03316,
        2.1124,
        2.16406,
        1.92722,
        2.06096,
        2.07215,
        1.89906,
        1.91703,
        1.99087,
        1.87034,
        1.93429,
        1.9033,
        2.01453,
        2.03461,
        1.92573,
        2.05482,
        1.94419,
        2.05945,
        1.93695,
        1.77645,
        1.81407,
        2.0954,
        1.87866,
        2.08227,
        2.06841,
        2.24063,
        1.9513,
        1.93561,
        1.88502,
        1.89228,
        2.11453,
        1.95565,
        2.29113,
        2.22079,
        2.08817,
        null,
        1.99332,
        2.01212,
        1.90531,
        1.9877,
        1.91535,
        2.0447,
        2.00854,
        2.06383,
        2.30356,
        2.05285,
        2.18575,
        1.9996,
        1.86481,
        2.08729,
        2.00578,
        2.14485,
        2.19012,
        2.07306,
        2.03608,
        1.95975,
        2.09549,
        2.1495,
        1.90013,
        1.86316,
        1.98217,
        1.96516,
        1.93751,
        1.9352,
        1.94443,
        1.89955,
        1.99368,
        2.05978,
        1.99222,
        2.00816,
        1.99169,
        2.03003,
        1.95602,
        2.01064,
        1.98833,
        2.03557,
        2.09609,
        1.98521,
        1.85467,
        1.9663,
        1.93529,
        2.07541,
        2.00001,
        1.95277,
        1.9002,
        1.96073,
        2.05031,
        1.97237,
        2.00541,
        2.01648,
        2.06772,
        2.03952,
        1.88052,
        1.91099,
        2.15951,
        2.01048,
        2.05608,
        1.91677,
        1.92,
        1.97138,
        1.83557,
        1.89637,
        1.91453,
        1.9804,
        1.9612,
        2.00713,
        2.03694,
        1.99508,
        2.0485,
        1.85908,
        2.03369,
        1.85263,
        1.96678,
        2.00053,
        2.16983,
        null,
        2.06539,
        2.06199,
        2.04879,
        2.05696,
        2.0253,
        2.02752,
        2.02982,
        2.01412,
        1.99131,
        1.99797,
        2.00726,
        2.02447,
        2.00874,
        2.00457,
        1.9786,
        1.98356,
        1.94521,
        2.01592,
        1.96591,
        1.97098,
        1.97057,
        1.97042,
        1.9948,
        2.06413,
        2.04041,
        1.98883,
        1.98734,
        2.02609,
        2.02555,
        2.0112,
        2.02819,
        2.06005,
        2.01125,
        1.98822,
        2.01892,
        2.0351,
        2.04451,
        2.04725,
        2.04518,
        2.01547,
        2.04515,
        2.0379,
        1.96617,
        1.9701,
        2.00821,
        2.00429,
        1.9843,
        1.96984,
        2.02427,
        1.97166,
        2.07154,
        2.00358,
        1.98736,
        1.97314,
        2.08403,
        1.97211,
        2.00725,
        1.99178,
        1.96156,
        1.92343,
        2.02921,
        2.0201,
        2.00785,
        1.95416,
        1.93567,
        2.03629,
        2.04037,
        1.92241,
        1.91478,
        1.99312,
        2.01274,
        2.09648,
        2.03661,
        1.96942,
        1.95998,
        2.05222,
        2.02863,
        2.01478,
        2.0581,
        1.95302,
        2.002,
        1.97798,
        2.02404,
        2.01434,
        2.00881,
        2.00227,
        2.04249,
        2.00049,
        1.99348,
        1.9564,
        2.04073,
        2.04639,
        2.11097,
        2.1001,
        2.08817,
        2.14883,
        2.053,
        1.89019,
        1.98923,
        2.0799,
        2.26912,
        2.18597,
        2.16648,
        2.23042,
        2.41637,
        2.03986,
        1.80007,
        1.79025,
        1.97485,
        2.05664,
        2.07126,
        1.85534,
        1.84437,
        2.00057,
        2.04975,
        1.94447,
        1.97315,
        2.04994,
        1.94819,
        2.05651,
        1.98637,
        2.11689,
        1.94496,
        1.95911,
        1.9367,
        1.88737,
        1.92598,
        1.94178,
        1.94389,
        1.9669,
        1.92577,
        1.96596,
        1.96632,
        2.04938,
        2.09898,
        2.04978,
        2.01976,
        2.02036,
        2.01369,
        1.95523,
        1.96388,
        2.06616,
        2.05661,
        1.99266,
        1.9981,
        1.98464,
        1.96885,
        1.98955,
        2.03766,
        1.9732,
        2.02192,
        1.9728,
        1.95873,
        1.94063,
        1.99212,
        1.99658,
        1.97935,
        2.03243,
        2.06111,
        2.00554,
        1.98638,
        2.02461,
        2.02321,
        2.00692,
        1.99875,
        2.03402,
        2.0077,
        2.0398,
        1.9706,
        2.0492,
        2.02485,
        1.99011,
        1.97277,
        2.03519,
        2.03152,
        2.05831,
        2.07617,
        1.97846,
        1.9922,
        1.94428,
        2.00098,
        2.0497,
        2.04459,
        2.04043,
        2.01324,
        2.00803,
        1.98323,
        2.0349,
        2.06359,
        1.99057,
        1.97985,
        2.02418,
        2.04124,
        1.97324,
        1.98936,
        1.968,
        2.02677,
        2.0417,
        2.03644,
        2.02821,
        2.04044,
        2.03881,
        1.98723,
        1.96028,
        1.99495,
        1.99395,
        1.99835,
        2.02351,
        2.05929,
        2.00024,
        2.0049,
        1.99074,
        1.9947,
        1.98949,
        2.00104,
        1.97145,
        1.94709,
        1.98668,
        2.0147,
        1.97176,
        2.02433,
        1.95071,
        1.97524,
        1.99085,
        1.98441,
        1.95938,
        1.97138,
        1.97969,
        1.95534,
        1.92652,
        1.97906,
        2.01261,
        2.0126,
        1.9921,
        1.9946,
        1.9751,
        1.97798,
        1.98964,
        1.96136,
        1.96682,
        1.96256,
        2.00973,
        1.98568,
        2.01771,
        2.07112,
        2.04431,
        1.97101,
        1.98216,
        2.01023,
        1.96103,
        1.98343,
        2.04627,
        1.92565,
        1.89358,
        2.00361,
        1.96301,
        1.94854,
        1.999,
        1.97634,
        2.05419,
        2.08156,
        2.03343,
        2.09819,
        2.04782,
        1.98328,
        1.969,
        2.00725,
        2.02168,
        1.96795,
        2.01112,
        1.95074,
        1.95128,
        1.94947,
        1.92152,
        1.9585,
        1.96286,
        2.02353,
        1.98793,
        1.97412,
        2.0166,
        1.99988,
        2.04514,
        2.00992,
        2.00414,
        1.96281,
        1.96099,
        1.9999,
        1.96422,
        1.98124,
        1.99891,
        2.01176,
        2.02707,
        1.99774,
        2.01198,
        2.00789,
        1.98563,
        2.02387,
        2.01583,
        2.00108,
        1.98009,
        1.9488,
        1.97923,
        2.01476,
        2.0265,
        1.98733,
        1.98679,
        1.9932,
        2.00192,
        1.94833,
        1.98515,
        1.97803,
        1.98748,
        1.96872,
        2.00694,
        2.00166,
        1.96621,
        1.98122,
        2.02937,
        2.02242,
        2.06272,
        2.01326,
        1.97341,
        1.9777,
        2.03903,
        2.02632,
        2.01795,
        1.95648,
        2.01052,
        1.97929,
        2.00605,
        1.98146,
        2.02137,
        2.0021,
        1.98279,
        2.01666,
        1.99095,
        2.00592,
        1.99534,
        1.97183,
        2.00244,
        2.01919,
        1.9783,
        2.02859,
        1.99323,
        1.9507,
        2.01984,
        1.94445,
        1.93592,
        2.00979,
        2.02523,
        1.9643,
        1.95366,
        1.96979,
        1.965,
        1.98114,
        1.96514,
        1.97373,
        1.92357,
        1.96727,
        2.00444,
        1.98131,
        2.01248,
        2.03134,
        2.04255,
        2.01018,
        1.98802,
        1.97503,
        1.97763,
        2.03565,
        1.9791,
        1.99144,
        1.98041,
        1.99191,
        1.95018,
        1.95854,
        2.016,
        1.96082,
        1.96825,
        1.97911,
        1.99495,
        2.04121,
        2.00631,
        2.01412,
        2.00913,
        2.05848,
        2.03916,
        2.08157,
        2.0828,
        2.04256,
        2.0344,
        2.04985,
        2.07118,
        2.0617,
        2.0588,
        2.05271,
        2.06198,
        2.0455,
        2.0867,
        2.06015,
        2.06205,
        2.07558,
        2.0831,
        2.07399,
        2.09534,
        2.09418,
        2.05897,
        2.05914,
        2.07123,
        2.05286,
        2.03178,
        2.07293,
        2.07776,
        2.05771,
        2.04556,
        2.03124,
        2.0315,
        2.01044,
        2.04526,
        2.01675,
        2.0196,
        2.03687,
        2.00506,
        2.04425,
        2.02028,
        2.02682,
        1.99741,
        1.99107,
        2.01949,
        2.01105,
        1.99368,
        2.02617,
        1.99418,
        1.98337,
        2.00365,
        2.02204,
        1.99889,
        1.99177,
        2.02472,
        1.99986,
        1.97697,
        2.03359,
        2.00812,
        1.95998,
        1.9977,
        2.03924,
        2.01623,
        1.98418,
        1.99311,
        1.99932,
        1.96814,
        2.02522,
        1.98757,
        2.00489,
        2.00082,
        2.00361,
        2.008,
        1.99355,
        1.97919,
        1.98725,
        1.98562,
        1.98369,
        2.01443,
        2.01844,
        2.01927,
        2.06359,
        1.99424,
        1.98326,
        1.96986,
        2.02604,
        2.01195,
        1.99549,
        2.01316,
        2.02488,
        1.96604,
        1.89117,
        1.98939,
        2.01709,
        2.02776,
        1.96073,
        1.97095,
        1.83792,
        2.04697,
        1.98531,
        2.03067,
        2.12033,
        1.90983,
        2.04202,
        2.0254,
        2.11176,
        1.96816,
        1.93286,
        1.94933,
        1.98484,
        2.03523,
        1.99049,
        2.06028,
        2.05275,
        2.01498,
        1.96833,
        1.97764,
        1.98633,
        2.05362,
        1.9381,
        1.95459,
        2.03235,
        2.00635,
        1.96143,
        1.96943,
        1.9696,
        1.99463,
        1.9986,
        2.01286,
        1.92214,
        2.01441,
        2.02644,
        2.02663,
        2.00116,
        1.99646,
        2.00777,
        1.96711,
        2.03739,
        1.99896,
        2.00002,
        1.97026,
        2.00779,
        1.99924,
        1.99577,
        1.98618,
        1.93769,
        1.97628,
        1.98278,
        1.97542,
        1.96083,
        1.97675,
        2.02979,
        1.96874,
        1.99943,
        1.98813,
        1.9848,
        1.97559,
        1.89929,
        1.95505,
        2.02404,
        2.06965,
        1.98028,
        2.01641,
        1.99557,
        2.01233,
        1.94095,
        2.02409,
        1.9383,
        1.86735,
        1.93178,
        1.96769,
        2.01433,
        2.04394,
        1.82894,
        1.96256,
        2.1232,
        2.12092,
        1.99774,
        2.0839,
        1.99558,
        2.07121,
        2.02984,
        2.00958,
        2.02277,
        1.98844,
        1.98124,
        1.97799,
        1.99096,
        1.99099,
        2.01966,
        1.98982,
        2.02759,
        2.00743,
        1.98259,
        1.99208,
        2.02508,
        2.02171,
        1.99414,
        1.98869,
        1.98762,
        1.97938,
        1.97767,
        1.99692,
        2.04359,
        2.01061,
        1.96387,
        1.9999,
        2.00562,
        2.04341,
        2.04366,
        2.00458,
        1.96392,
        2.0011,
        2.01552,
        2.00837,
        2.01456,
        2.00521,
        1.99208,
        1.97605,
        1.9835,
        2.02305,
        2.04255,
        1.97676,
        1.99907,
        2.05885,
        2.02882,
        2.00782,
        1.98842,
        2.03869,
        2.04362,
        2.07815,
        2.06509,
        1.96887,
        1.97175,
        1.95681,
        1.97921,
        1.97272,
        2.02086,
        1.97224,
        2.03976,
        2.02925,
        2.0361,
        2.03241,
        1.98543,
        1.97499,
        1.98925,
        2.07436,
        1.97106,
        2.0122,
        2.05441,
        1.94734,
        1.90753,
        1.90557,
        1.97432,
        2.04408,
        2.10354,
        1.86302,
        1.98047,
        2.00436,
        2.20717,
        2.34401,
        2.21009,
        1.88439,
        2.21495,
        2.33875,
        2.17653,
        2.03904,
        2.03648,
        2.04798,
        2.03376,
        1.93641,
        2.05338,
        2.00818,
        2.04844,
        2.03955,
        1.97668,
        2.0009,
        2.07198,
        2.06304,
        2.05668,
        1.92612,
        2.05382,
        2.02232,
        1.94567,
        2.03061,
        2.03587,
        1.93619,
        2.06299,
        2.02637,
        2.06994,
        2.03448,
        2.06238,
        2.04266,
        1.99546,
        2.0575,
        2.0315,
        2.00822,
        1.99056,
        1.99575,
        1.97959,
        1.9939,
        1.95321,
        2.02972,
        1.99199,
        1.78448,
        1.86055,
        1.92251,
        1.97607,
        1.99934,
        2.0832,
        2.11857,
        1.96546,
        2.07717,
        1.9656,
        1.91766,
        1.95653,
        2.01267,
        2.01752,
        2.02563,
        2.04505,
        2.09441,
        2.01198,
        2.02879,
        2.05469,
        1.99195,
        2.0011,
        1.91269,
        1.89687,
        2.01742,
        2.13479,
        2.04466,
        1.93972,
        1.96701,
        1.85678,
        1.86838,
        1.8977,
        2.11982,
        2.03795,
        1.96124,
        2.01435,
        2.04619,
        1.95043,
        2.00085,
        1.98464,
        1.95724,
        1.91957,
        2.0183,
        2.04964,
        2.09056,
        1.90545,
        1.81605,
        1.84966,
        1.98267,
        2.13798,
        1.97718,
        2.02772,
        1.94963,
        1.93838,
        2.07409,
        2.24313,
        2.12195,
        1.92321,
        1.98417,
        2.24197,
        2.07161,
        null,
        2.07367,
        2.11284,
        2.06725,
        1.91991,
        1.97155,
        2.03463,
        2.13162,
        2.09293,
        2.07712,
        2.08259,
        2.08353,
        2.01832,
        2.09624,
        2.07171,
        1.95361,
        2.01302,
        1.99911,
        2.14685,
        2.08014,
        1.96817,
        2.01627,
        1.98482,
        2.04712,
        2.00174,
        1.99831,
        2.00045,
        2.00144,
        1.98984,
        2.04242,
        2.12921,
        2.03549,
        2.0219,
        1.96417,
        1.98624,
        1.99283,
        1.99359,
        2.00808,
        2.07638,
        1.96955,
        1.98964,
        2.00138,
        2.04109,
        2.0027,
        2.02135,
        1.96492,
        1.99931,
        2.02637,
        1.98125,
        1.97435,
        2.11637,
        2.05066,
        1.96074,
        2.02426,
        2.05918,
        2.01651,
        2.02808,
        2.02866,
        1.99683,
        2.00211,
        1.99317,
        1.9636,
        1.99514,
        2.0275,
        2.06417,
        2.02504,
        2.01132,
        1.93555,
        1.99437,
        2.01621,
        2.03312,
        2.05752,
        1.97819,
        1.98563,
        1.99803,
        1.97976,
        1.97607,
        1.98502,
        1.99982,
        2.01879,
        2.01048,
        2.01273,
        2.02724,
        2.02737,
        1.95647,
        2.00842,
        1.96494,
        1.98582,
        1.95626,
        1.95652,
        1.95561,
        1.98015,
        1.99709,
        2.00821,
        2.01842,
        2.05493,
        1.96794,
        1.97502,
        1.99556,
        1.97101,
        2.01527,
        2.05059,
        1.98987,
        2.02583,
        2.06137,
        2.00988,
        2.04364,
        2.01025,
        1.9438,
        1.97979,
        1.99033,
        2.01048,
        1.98823,
        2.03603,
        1.97609,
        2.00148,
        1.97983,
        1.99389,
        1.97076,
        1.96857,
        1.94839,
        2.01658,
        2.01783,
        2.00144,
        1.9917,
        2.01754,
        1.97532,
        1.99561,
        1.98256,
        2.00861,
        2.00401,
        2.05431,
        2.04724,
        2.05194,
        2.0569,
        2.02983,
        2.04143,
        2.03838,
        2.04029,
        2.00976,
        2.00457,
        2.00611,
        2.01473,
        1.99,
        2.01247,
        2.03643,
        1.99282,
        2.02623,
        1.98424,
        2.02313,
        1.97553,
        1.98673,
        1.96785,
        2.01445,
        2.0148,
        2.01453,
        1.97872,
        2.04391,
        2.03218,
        2.01603,
        2.01123,
        1.98909,
        2.01035,
        1.99395,
        2.00041,
        2.01412,
        2.06057,
        2.02535,
        2.06867,
        2.06351,
        2.07045,
        2.049,
        1.99881,
        2.04449,
        2.06117,
        2.03996,
        2.08245,
        2.06149,
        2.09347,
        2.07206,
        2.06686,
        2.0968,
        2.10591,
        2.06394,
        2.11592,
        2.12034,
        2.09133,
        2.07836,
        2.12982,
        2.10394,
        2.08887,
        2.11641,
        2.08637,
        2.08519,
        2.09224,
        2.03626,
        2.06289,
        2.02214,
        2.02068,
        2.06735,
        2.06485,
        2.07457,
        2.07867,
        2.03319,
        2.02262,
        1.98228,
        2.00196,
        2.00967,
        2.02529,
        2.03129,
        1.99723,
        2.03682,
        2.01739,
        2.02916,
        2.00952,
        2.01944,
        2.02497,
        2.01291,
        2.01536,
        2.01536,
        1.98454,
        1.96827,
        2.01635,
        2.02873,
        1.98759,
        2.02357,
        1.99602,
        2.0313,
        2.02132,
        1.98006,
        1.99183,
        2.00339,
        1.97779,
        2.02114,
        2.0197,
        1.99218,
        2.00542,
        2.06928,
        2.01973,
        2.05616,
        2.02693,
        1.98859,
        2.0205,
        1.99865,
        2.03188,
        2.03453,
        2.03419,
        1.99578,
        2.0091,
        2.02842,
        1.98811,
        1.96438,
        1.97957,
        1.9979,
        2.03781,
        2.0311,
        2.08625,
        2.06669,
        1.99703,
        2.0087,
        2.01117,
        2.0306,
        2.04478,
        2.0351,
        2.08561,
        2.05034,
        2.0102,
        1.97513,
        2.0367,
        2.04257,
        2.00483,
        2.00038,
        2.04122,
        2.06572,
        2.04695,
        2.04395,
        1.99405,
        2.01679,
        1.99395,
        2.01374,
        2.00472,
        1.99683,
        2.00539,
        2.02035,
        2.02357,
        2.07009,
        2.03485,
        2.00977,
        2.02804,
        2.05629,
        2.04781,
        2.04647,
        2.06407,
        2.03177,
        2.03824,
        1.99994,
        1.98796,
        2.02868,
        2.02621,
        2.07858,
        2.03405,
        2.01954,
        2.01654,
        1.98755,
        2.04227,
        2.04373,
        1.98718,
        2.04664,
        2.05602,
        2.05339,
        2.04846,
        2.05667,
        2.06135,
        2.0323,
        2.00931,
        2.06174,
        2.06424,
        2.03126,
        2.02952,
        2.04347,
        2.04459,
        2.02212,
        2.04645,
        2.09217,
        2.05417,
        1.9876,
        2.02643,
        2.03511,
        2.02442,
        2.03838,
        1.99822,
        1.9987,
        2.03902,
        2.0404,
        2.02079,
        2.03352,
        2.06277,
        2.05692,
        2.01872,
        2.02977,
        2.06081,
        2.06194,
        2.06371,
        2.0247,
        2.05174,
        2.07308,
        2.02733,
        2.03444,
        2.04083,
        2.0559,
        2.03509,
        2.03933,
        1.9911,
        2.01108,
        2.01113,
        2.00432,
        2.03905,
        2.04963,
        2.05659,
        2.06347,
        2.03774,
        2.05165,
        2.0431,
        2.00024,
        2.05127,
        2.0147,
        2.00197,
        2.03232,
        2.05307,
        2.04365,
        2.06009,
        2.04338,
        2.03318,
        2.00026,
        2.00441,
        2.02626,
        2.02598,
        2.04956,
        2.05325,
        2.06028,
        1.98263,
        2.0497,
        2.06977,
        2.02414,
        2.0576,
        2.03603,
        2.04337,
        2.00312,
        2.00656,
        2.04927,
        2.06596,
        2.04688,
        2.04388,
        2.02571,
        2.01836,
        2.02279,
        2.02043,
        2.07135,
        2.0682,
        2.03293,
        2.02668,
        2.03596,
        2.05584,
        2.02616,
        2.04542,
        2.02076,
        2.08386,
        2.04124,
        2.03563,
        2.04916,
        2.0814,
        2.05799,
        2.07826,
        2.10879,
        2.09163,
        2.05008,
        2.10766,
        2.0805,
        2.05692,
        2.00308,
        2.04066,
        2.05863,
        2.01109,
        2.02722,
        2.00642,
        2.0669,
        2.04828,
        2.09427,
        2.04984,
        2.02798,
        2.06049,
        2.08361,
        2.03458,
        2.03481,
        2.02925,
        1.9361,
        2.02271,
        2.07243,
        2.07403,
        2.05315,
        1.97447,
        2.06333,
        2.10446,
        1.9798,
        2.18716,
        2.14335,
        2.07966,
        2.05496,
        2.04088,
        1.89279,
        2.11465,
        2.20541,
        2.1796,
        1.78733,
        2.02781,
        2.16575,
        2.15595,
        2.11466,
        2.01618,
        2.12989,
        2.11503,
        2.0951,
        2.12398,
        2.07543,
        2.06976,
        2.08968,
        2.09103,
        2.06263,
        2.06411,
        2.09962,
        2.0601,
        2.04692,
        2.07038,
        2.08905,
        2.05428,
        2.04936,
        2.08854,
        2.11352,
        2.08388,
        2.03718,
        2.07474,
        2.034,
        2.03847,
        2.12276,
        2.09151,
        2.04456,
        2.03865,
        2.09359,
        2.0958,
        2.07974,
        2.07296,
        2.05363,
        2.07301,
        2.18344,
        2.20489,
        2.07062,
        2.09051,
        2.08818,
        2.05187,
        2.04223,
        2.11373,
        2.12962,
        2.07019,
        2.04387,
        2.06253,
        2.12113,
        2.07063,
        2.05274,
        2.11943,
        2.11344,
        2.10741,
        2.12791,
        2.14627,
        2.11539,
        2.08666,
        2.08604,
        2.08205,
        2.10823,
        2.10151,
        2.10679,
        2.10716,
        2.09778,
        2.06577,
        2.06353,
        2.06803,
        2.08202,
        2.10066,
        2.08916,
        2.1069,
        2.06833,
        2.06989,
        2.11326,
        2.05777,
        2.08456,
        2.14304,
        2.14186,
        2.12163,
        2.18182,
        2.13041,
        2.16392,
        2.19158,
        2.16334,
        2.12449,
        2.15245,
        2.17516,
        2.15195,
        2.14286,
        2.14244,
        2.10505,
        2.16534,
        2.16386,
        2.109,
        2.12685,
        2.10231,
        2.06675,
        2.14822,
        2.12632,
        2.13019,
        2.12764,
        2.13737,
        2.11044,
        2.08262,
        2.11472,
        2.17258,
        2.12946,
        2.10838,
        2.14099,
        2.07537,
        2.17107,
        2.20341,
        2.17161,
        2.1149,
        2.20619,
        2.207,
        2.12533,
        2.13577,
        2.15599,
        2.14426,
        2.11266,
        2.11749,
        2.14397,
        2.08901,
        2.17808,
        2.25541,
        2.18414,
        2.15438,
        2.14309,
        2.16009,
        2.19986,
        2.12406,
        2.13805,
        2.22546,
        2.18708,
        2.25418,
        2.20609,
        2.19125,
        2.17296,
        2.20233,
        2.17661,
        2.20001,
        2.143,
        2.15634,
        2.1563,
        2.20688,
        2.18129,
        2.17133,
        2.17324,
        2.1869,
        2.2398,
        2.22742,
        2.22149,
        2.18132,
        2.15675,
        2.16439,
        2.16072,
        2.19451,
        2.21188,
        2.22949,
        2.22513,
        2.25693,
        2.18641,
        2.21973,
        2.26532,
        2.23913,
        2.20191,
        2.18395,
        2.19276,
        2.21382,
        2.25719,
        2.23088,
        2.19976,
        2.15728,
        2.17995,
        2.16988,
        2.17515,
        2.23331,
        2.19382,
        2.15636,
        2.13699,
        2.16118,
        2.20307,
        2.22815,
        2.21282,
        2.236,
        2.29384,
        2.19294,
        2.10897,
        2.19974,
        2.19052,
        2.15207,
        2.19622,
        2.22195,
        2.22877,
        2.19293,
        2.17492,
        2.17387,
        2.14978,
        2.1896,
        2.20927,
        2.22626,
        2.20876,
        2.22556,
        2.25061,
        2.22462,
        2.18323,
        2.16364,
        2.10233,
        2.12286,
        2.14688,
        2.13322,
        2.12534,
        2.17755,
        2.237,
        2.25336,
        2.19344,
        2.28249,
        2.27989,
        2.27421,
        2.13753,
        2.30011,
        2.15933,
        2.02846,
        2.09063,
        2.12331,
        2.18485,
        2.07737,
        2.00194,
        2.17786,
        2.2171,
        2.40318,
        2.30215,
        2.21646,
        2.09482,
        2.289,
        2.22673,
        2.1788,
        2.17011,
        2.02424,
        2.11627,
        2.16952,
        2.18709,
        2.13422,
        2.15867,
        2.18099,
        2.13365,
        2.16638,
        2.10828,
        2.09508,
        2.19091,
        2.13344,
        2.08163,
        2.21252,
        2.19214,
        2.12196,
        2.19201,
        2.14773,
        2.09709,
        2.1443,
        2.17296,
        2.19191,
        2.19825,
        2.08385,
        2.03667,
        2.08223,
        2.07755,
        2.15024,
        2.15745,
        2.09003,
        2.04366,
        2.11274,
        2.09998,
        2.12177,
        2.15509,
        2.20881,
        2.12589,
        2.16177,
        2.09686,
        2.02138,
        2.10326,
        2.10979,
        2.12828,
        2.13322,
        2.17535,
        2.13587,
        2.12992,
        2.07848,
        2.09189,
        2.06535,
        2.09402,
        2.13752,
        2.14487,
        2.06112,
        2.1212,
        2.1266,
        2.12823,
        2.11056,
        2.06269,
        2.1308,
        2.12394,
        2.04273,
        2.09483,
        2.12891,
        2.06263,
        2.12713,
        2.08946,
        2.04277,
        2.12701,
        2.0762,
        2.06218,
        2.04953,
        2.06241,
        2.01991,
        2.0894,
        2.08713,
        2.10577,
        2.10657,
        2.04339,
        2.10948,
        2.05835,
        2.06901,
        2.07721,
        2.04684,
        2.0758,
        2.11471,
        2.13597,
        2.13747,
        2.10662,
        2.04575,
        2.05669,
        2.10291,
        2.08794,
        2.06728,
        2.12448,
        2.16373,
        2.08168,
        2.07477,
        2.09269,
        2.05593,
        2.05728,
        2.08162,
        2.06036,
        2.02653,
        2.05222,
        2.09275,
        2.09934,
        2.1364,
        2.06052,
        2.0434,
        2.08308,
        2.09002,
        2.12768,
        2.12889,
        2.0161,
        2.00199,
        1.97694,
        2.07221,
        2.0969,
        2.01929,
        2.06355,
        2.11624,
        2.12195,
        2.13404,
        2.06774,
        2.03436,
        2.06859,
        2.13536,
        2.13505,
        2.10924,
        2.12475,
        2.16488,
        2.18402,
        2.02116,
        2.0352,
        2.08993,
        2.11952,
        2.12995,
        2.09339,
        2.06362,
        2.11376,
        2.13191,
        2.0947,
        2.06929,
        2.05334,
        2.04953,
        2.16436,
        2.2406,
        2.12483,
        2.14801,
        2.13305,
        2.08747,
        2.07913,
        2.04354,
        2.13208,
        2.14364,
        2.10849,
        2.10979,
        2.14294,
        2.05929,
        2.01885,
        2.04922,
        2.03154,
        2.0893,
        2.06384,
        2.07544,
        2.04998,
        2.04309,
        2.07562,
        2.04431,
        2.06578,
        2.07807,
        2.01062,
        2.08399,
        2.03351,
        1.95784,
        1.98333,
        2.00288,
        2.08698,
        2.0796,
        2.09835,
        2.10887,
        2.08183,
        1.99565,
        2.00984,
        2.03301,
        2.11487,
        2.07504,
        2.05779,
        2.06436,
        1.9909,
        2.01844,
        2.08412,
        2.09864,
        2.05253,
        2.0796,
        2.1319,
        2.05511,
        2.05818,
        2.037,
        1.99852,
        2.04755,
        2.07401,
        2.07592,
        2.03739,
        1.98882,
        2.04652,
        1.96876,
        2.08977,
        2.04781,
        2.07863,
        2.05988,
        2.03116,
        2.00695,
        1.96585,
        2.06047,
        2.04022,
        2.03668,
        2.00824,
        2.02089,
        2.12829,
        2.01867,
        1.96809,
        2.07029,
        2.18825,
        2.09674,
        1.89193,
        1.95822,
        1.97181,
        1.9527,
        2.01233,
        2.12953,
        2.13407,
        1.99968,
        2.01802,
        1.98565,
        1.97988,
        1.98561,
        2.07217,
        2.07661,
        2.04558,
        1.96445,
        1.98859,
        2.07276,
        2.00294,
        2.08467,
        2.03164,
        2.11326,
        2.12417,
        2.09257,
        1.99901,
        1.92081,
        2.02214,
        2.03372,
        2.00442,
        1.96235,
        1.98249,
        2.01968,
        2.05385,
        2.02636,
        1.97712,
        1.99366,
        2.09509,
        2.07632,
        2.02457,
        2.14078,
        2.0134,
        2.14412,
        2.09762,
        2.11784,
        2.09903,
        2.00697,
        1.90255,
        2.01406,
        2.09119,
        2.1019,
        2.01187,
        1.88755,
        1.86923,
        1.87992,
        1.91105,
        2.07387,
        2.16842,
        1.98412,
        1.91913,
        1.965,
        1.90559,
        2.01058,
        2.07564,
        2.12378,
        1.91115,
        2.1389,
        2.0921,
        2.13543,
        2.00692,
        1.98125,
        2.36488,
        1.99667,
        2.08322,
        null,
        2.31533,
        2.05,
        1.84848,
        2.06998,
        1.90323,
        2.03215,
        1.78431,
        1.96553,
        1.95181,
        2.22475,
        2.13066,
        1.88171,
        2.03282,
        1.9546,
        2.10644,
        2.03549,
        2.05637,
        2.09324,
        2.20698,
        2.07538,
        2.01461,
        1.96783,
        1.88492,
        2.0619,
        1.86707,
        2.06814,
        2.05903,
        1.82811,
        1.78912,
        1.81259,
        1.95535,
        1.90231,
        2.03544,
        2.06481,
        1.95068,
        1.904,
        1.86579,
        1.7188,
        1.85506,
        1.99989,
        2.00073,
        2.06837,
        2.06197,
        1.93604,
        2.09321,
        2.03252,
        2.11799,
        1.9485,
        1.91505,
        2.00184,
        2.11102,
        1.96986,
        1.98107,
        2.02615,
        2.0111,
        2.08561,
        2.0837,
        2.12419,
        2.04198,
        2.02537,
        2.08159,
        2.18604,
        1.93876,
        1.9545,
        2.04754,
        2.0595,
        2.04582,
        2.05952,
        2.01747,
        1.94689,
        2.0197,
        2.05355,
        1.92203,
        2.06756,
        2.0226,
        2.05799,
        1.9402,
        1.97817,
        1.98473,
        2.00896,
        2.13544,
        2.05375,
        1.93864,
        1.91083,
        2.07333,
        2.0839,
        2.05508,
        1.87653,
        1.92907,
        1.8819,
        2.02215,
        2.03475,
        1.99234,
        1.95958,
        2.07828,
        1.96843,
        2.02194,
        2.00273,
        2.00737,
        2.02861,
        1.9877,
        1.8848,
        1.88803,
        1.99866,
        1.94514,
        1.97369,
        2.04285,
        1.98033,
        1.95874,
        2.12542,
        2.06802,
        2.08104,
        1.81659,
        1.97781,
        1.99241,
        1.96153,
        2.01955,
        1.99114,
        2.03012,
        1.91983,
        1.98909,
        1.99912,
        1.96879,
        2.01863,
        1.95912,
        1.97733,
        1.99835,
        1.945,
        2.03708,
        2.08186,
        1.97323,
        1.97022,
        2.0046,
        2.09127,
        1.96975,
        1.93053,
        1.89463,
        1.99023,
        2.05116,
        1.95495,
        1.90453,
        1.98311,
        1.94663,
        1.9461,
        1.95245,
        1.89607,
        1.97486,
        2.00968,
        2.09977,
        2.01821,
        2.02949,
        1.98864,
        2.01043,
        1.97883,
        1.9865,
        1.94506,
        2.05018,
        1.93794,
        1.93566,
        1.94997,
        2.00465,
        2.00551,
        1.90317,
        1.97751,
        2.05499,
        1.94939,
        2.00809,
        1.97713,
        1.98338,
        2.02663,
        1.98372,
        1.96969,
        1.99104,
        1.98041,
        2.0329,
        1.97012,
        2.01058,
        2.02784,
        2.01817,
        1.94473,
        2.01342,
        1.9896,
        2.00076,
        1.9833,
        1.96529,
        2.04224,
        2.00159,
        1.95057,
        1.96955,
        1.97133,
        1.99219,
        1.96643,
        1.9762,
        1.99269,
        1.94176,
        1.9511,
        1.94452,
        1.91439,
        1.93469,
        1.98252,
        1.97484,
        1.9829,
        1.98174,
        2.01693,
        2.03858,
        1.95288,
        1.9188,
        1.96126,
        1.9835,
        1.98713,
        1.99497,
        1.95944,
        1.96308,
        1.97071,
        1.92139,
        1.94882,
        1.93311,
        2.02138,
        1.94042,
        1.95709,
        1.97893,
        1.99144,
        1.95767,
        1.90884,
        1.88838,
        2.03196,
        1.98817,
        2.01692,
        1.96611,
        2.07049,
        2.04707,
        2.0081,
        1.96062,
        1.99173,
        1.94587,
        1.99548,
        1.98599,
        1.97323,
        1.89734,
        1.92739,
        2.00238,
        1.97719,
        1.91547,
        1.88384,
        1.93157,
        1.98121,
        2.01029,
        2.07759,
        2.10426,
        2.10828,
        1.97387,
        1.90409,
        1.99085,
        1.97391,
        1.99161,
        2.07227,
        1.97443,
        2.00871,
        1.91324,
        2.12219,
        2.06873,
        2.04081,
        1.99587,
        1.99615,
        2.02451,
        1.98228,
        1.99936,
        2.01686,
        1.93176,
        1.842,
        1.93892,
        2.0157,
        1.94864,
        1.99595,
        1.93518,
        1.89443,
        1.9725,
        2.00443,
        2.00337,
        2.04388,
        1.98295,
        2.04142,
        1.98046,
        1.95495,
        2.00717,
        2.00657,
        2.00561,
        2.03654,
        2.02743,
        1.96744,
        2.05553,
        1.96024,
        1.90334,
        2.04004,
        1.93372,
        1.95908,
        2.02496,
        1.95391,
        2.00884,
        2.06315,
        1.92042,
        1.94609,
        1.96293,
        1.92076,
        1.88662,
        1.92866,
        1.96775,
        1.92329,
        1.89055,
        1.96983,
        2.03252,
        1.99239,
        1.97187,
        1.98374,
        1.97286,
        1.97345,
        1.95214,
        1.94302,
        1.96215,
        1.99737,
        1.91468,
        1.9319,
        2.00926,
        1.97185,
        1.99181,
        1.94374,
        1.99331,
        1.98289,
        1.97639,
        2.00107,
        2.02271,
        2.00585,
        2.00236,
        2.03704,
        2.03794,
        1.98715,
        2.03411,
        2.04322,
        1.98011,
        1.99922,
        2.02671,
        1.99207,
        2.01698,
        1.92331,
        1.97048,
        1.87309,
        1.97231,
        1.97183,
        1.94684,
        1.9647,
        1.94313,
        1.96044,
        1.95266,
        1.99312,
        1.98786,
        2.03255,
        2.02331,
        1.97282,
        2.02038,
        1.94068,
        1.96714,
        1.9512,
        1.98537,
        1.99132,
        1.96519,
        2.03892,
        2.00701,
        1.97326,
        1.96508,
        1.96297,
        1.99192,
        1.95555,
        1.94879,
        1.97104,
        1.97313,
        1.89055,
        1.93945,
        1.97332,
        1.98172,
        2.03696,
        2.01262,
        2.03717,
        1.98148,
        1.97989,
        1.95748,
        1.90258,
        1.92827,
        1.93835,
        1.95317,
        1.94816,
        2.00861,
        2.11276,
        2.11015,
        2.01804,
        2.01395,
        2.02008,
        1.90757,
        2.00691,
        2.02944,
        1.9939,
        2.02504,
        1.97912,
        2.01279,
        2.01423,
        1.9934,
        2.04112,
        2.03019,
        2.01717,
        2.04017,
        1.9712,
        2.03202,
        1.99962,
        2.00499,
        2.0274,
        2.00618,
        1.93905,
        1.91721,
        2.05123,
        1.97487,
        1.91038,
        1.95446,
        2.01446,
        2.03234,
        2.06009,
        2.00126,
        2.01324,
        2.00561,
        1.99602,
        2.00726,
        2.07441,
        2.01553,
        2.02437,
        2.06111,
        2.05724,
        2.05313,
        2.05104,
        2.04192,
        1.99232,
        2.0364,
        2.04282,
        2.05548,
        2.00857,
        2.00383,
        1.98124,
        1.97077,
        1.99811,
        1.98224,
        2.0179,
        2.04217,
        2.00231,
        2.02578,
        2.03644,
        1.9799,
        1.94119,
        1.9941,
        1.9576,
        2.03712,
        1.9718,
        2.00866,
        1.91436,
        1.91219,
        1.92787,
        1.94634,
        1.9215,
        1.91642,
        1.94747,
        1.98371,
        1.99905,
        1.98517,
        1.99625,
        1.97521,
        2.02185,
        2.06123,
        1.9037,
        1.95374,
        2.00186,
        2.00395,
        2.07912,
        1.90814,
        1.94995,
        1.98885,
        1.99404,
        2.03668,
        2.1149,
        2.00876,
        2.00335,
        1.94527,
        1.98077,
        1.93617,
        1.97753,
        1.96577,
        1.98729,
        1.9202,
        1.92186,
        1.98455,
        2.00119,
        1.96291,
        1.99004,
        1.96423,
        1.94754,
        1.97004,
        1.966,
        1.93456,
        2.01406,
        2.03038,
        1.93101,
        1.88068,
        1.97919,
        1.91752,
        1.94747,
        1.97667,
        2.03713,
        2.00681,
        1.99056,
        1.91973,
        1.95675,
        1.9375,
        1.90049,
        1.97451,
        2.0388,
        2.00959,
        1.94266,
        1.93697,
        1.96718,
        1.97992,
        1.97691,
        1.97383,
        1.96603,
        2.02321,
        1.94127,
        1.92511,
        1.96458,
        1.9785,
        1.9966,
        2.0006,
        1.96964,
        1.92462,
        1.95309,
        1.92928,
        1.95581,
        1.95101,
        1.96154,
        1.97799,
        1.99022,
        1.98254,
        1.96546,
        2.01345,
        1.98491,
        2.02244,
        1.95849,
        1.99293,
        2.00593,
        1.99563,
        1.98994,
        1.96326,
        1.99344,
        1.96344,
        1.94607,
        1.97135,
        1.90967,
        1.97729,
        2.03348,
        2.00714,
        1.97294,
        1.95115,
        1.97289,
        1.98453,
        2.02244,
        2.00262,
        1.97574,
        1.94855,
        1.95559,
        1.98954,
        1.99391,
        1.99615,
        2.00965,
        1.99765,
        1.93407,
        1.94175,
        1.9766,
        1.95171,
        1.9902,
        1.97629,
        1.93795,
        1.97608,
        1.96818,
        1.98186,
        1.91317,
        1.9108,
        1.94794,
        1.93701,
        1.9768,
        1.97338,
        1.95463,
        1.9394,
        1.94683,
        2.01492,
        1.9538,
        2.00131,
        1.98606,
        1.98943,
        2.01639,
        2.02939,
        1.99431,
        1.98491,
        1.97459,
        1.99719,
        1.99926,
        1.99786,
        2.01457,
        1.95213,
        1.97397,
        1.92832,
        1.96057,
        1.95327,
        1.99028,
        1.9721,
        1.91758,
        1.91258,
        1.98473,
        2.00713,
        1.97503,
        1.98655,
        1.95306,
        1.79701,
        1.99487,
        2.00739,
        1.99095,
        2.00408,
        1.9773,
        1.94828,
        1.94182,
        1.9586,
        1.96417,
        1.99012,
        2.00989,
        2.00086,
        1.95031,
        1.95554,
        1.99307,
        1.96962,
        1.99486,
        1.99167,
        1.99171,
        1.98209,
        1.97274,
        2.03345,
        1.99756,
        1.98861,
        2.00439,
        2.00289,
        1.9668,
        1.99435,
        2.01344,
        1.97613,
        2.04475,
        1.97006,
        1.96239,
        1.9862,
        1.96391,
        1.96711,
        1.9474,
        1.91114,
        1.96308,
        1.94982,
        1.91114,
        1.92609,
        1.99815,
        1.9756,
        1.97737,
        1.96522,
        2.01153,
        2.0098,
        1.96624,
        1.94765,
        1.97582,
        1.97444,
        1.96134,
        1.93542,
        1.92978,
        1.94111,
        1.93764,
        1.97629,
        1.92179,
        1.94367,
        1.9543,
        2.03264,
        1.97647,
        1.97822,
        1.9441,
        1.96371,
        1.98638,
        1.93795,
        1.93906,
        1.96609,
        1.99242,
        1.94054,
        1.9814,
        1.95659,
        1.94119,
        1.94236,
        1.91353,
        1.98288,
        2.0498,
        2.0074,
        1.96864,
        1.99145,
        1.92027,
        1.96762,
        1.98954,
        2.04899,
        2.09311,
        2.01033,
        2.01872,
        1.9715,
        1.9813,
        1.97622,
        1.95974,
        1.95057,
        1.98972,
        2.01786,
        1.9901,
        2.02664,
        1.97786,
        1.98573,
        1.98136,
        1.99691,
        1.99672,
        1.99236,
        1.99556,
        1.97842,
        1.94187,
        1.93042,
        1.98682,
        1.94172,
        1.94924,
        2.0047,
        1.97901,
        1.99538,
        1.98835,
        1.9665,
        1.88252,
        1.91509,
        1.9818,
        1.94547,
        2.01293,
        1.91459,
        1.95638,
        1.94365,
        2.00497,
        1.97125,
        1.95679,
        1.96393,
        1.98199,
        1.9881,
        2.0154,
        1.96377,
        1.91935,
        1.95499,
        1.93957,
        2.01059,
        2.00901,
        1.94152,
        1.93511,
        1.94515,
        1.99573,
        1.99225,
        1.99244,
        1.99573,
        2.03405,
        2.05279,
        2.0122,
        1.95717,
        1.95045,
        1.9434,
        1.93236,
        1.95475,
        1.96775,
        1.94302,
        1.92282,
        1.96681,
        2.00175,
        2.05999,
        1.96306,
        1.96544,
        2.00785,
        1.98194,
        1.99786,
        1.95933,
        1.97247,
        1.93642,
        1.93387,
        2.00289,
        1.99665,
        1.9579,
        1.96163,
        1.93018,
        1.99137,
        2.01823,
        1.96424,
        1.92102,
        1.96351,
        1.9885,
        1.97341,
        2.01277,
        2.00867,
        2.01079,
        1.97459,
        1.99336,
        2.02469,
        1.94267,
        1.92678,
        1.93266,
        1.98156,
        2.001,
        2.03346,
        1.99935,
        2.00442,
        1.97096,
        1.99534,
        1.99551,
        1.95791,
        1.94543,
        1.94296,
        1.88306,
        1.94415,
        1.92953,
        1.90683,
        1.92087,
        1.94661,
        1.94968,
        1.94117,
        1.93394,
        2.00161,
        2.00024,
        1.96562,
        1.95834,
        1.9526,
        2.03246,
        1.98644,
        1.96856,
        1.94191,
        2.00937,
        1.99863,
        2.03002,
        2.00518,
        1.9694,
        2.0215,
        1.98762,
        1.95646,
        1.97032,
        1.95404,
        1.99996,
        1.84002,
        1.95877,
        1.96268,
        1.96665,
        1.98695,
        1.99736,
        1.96294,
        1.96335,
        1.99331,
        1.98501,
        2.02011,
        1.92171,
        1.89175,
        1.98936,
        2.00678,
        1.96799,
        1.9404,
        1.94151,
        1.97017,
        1.91994,
        1.98937,
        1.91374,
        1.90203,
        1.93453,
        1.88853,
        1.95774,
        2.09961,
        2.01647,
        2.06284,
        2.01573,
        2.03481,
        2.03057,
        2.0109,
        1.88986,
        1.99755,
        2.02252,
        1.96826,
        1.95318,
        1.95189,
        1.88107,
        1.91778,
        1.97517,
        2.06179,
        1.99211,
        2.03502,
        1.91294,
        1.86331,
        1.88757,
        1.82425,
        1.88166,
        1.87322,
        1.97095,
        1.97779,
        1.94425,
        1.98648,
        1.99305,
        1.9537,
        1.99695,
        1.97626,
        2.0241,
        2.00249,
        1.87025,
        1.81093,
        1.93691,
        2.03394,
        2.00732,
        1.92171,
        1.93174,
        1.83067,
        1.95717,
        1.91312,
        2.03261,
        1.94477,
        1.95344,
        2.03031,
        1.93735,
        1.98053,
        2.02396,
        1.93752,
        1.88813,
        2.06051,
        2.13646,
        1.97858,
        1.89805,
        2.04458,
        1.99288,
        2.22697,
        1.91085,
        1.98819,
        1.99829,
        1.95616,
        1.87615,
        1.945,
        2.25977,
        1.83924,
        1.87574,
        1.95827,
        1.98781,
        2.03495,
        2.03568,
        null,
        2.2723,
        1.94557,
        1.89388,
        2.14225,
        2.12305,
        2.05385,
        1.88564,
        1.86029,
        1.92315,
        2.03752,
        1.92903,
        2.01595,
        2.00908,
        2.06743,
        1.99347,
        1.94842,
        2.05334,
        2.01452,
        2.05672,
        2.05369,
        2.11652,
        2.06019,
        1.88999,
        2.097,
        2.02312,
        2.08364,
        2.11036,
        2.07514,
        2.04933,
        2.03608,
        2.03666,
        2.02709,
        1.98966,
        2.09629,
        2.05738,
        2.01106,
        2.03163,
        2.03245,
        1.90093,
        1.9497,
        2.04673,
        2.02615,
        1.97363,
        1.95087,
        1.98293,
        1.85734,
        2.21332,
        2.1117,
        2.0313,
        1.9275,
        1.88046,
        1.93708,
        1.96751,
        1.99452,
        1.93652,
        1.98435,
        2.02629,
        1.89621,
        1.87249,
        1.92848,
        1.99484,
        1.91482,
        2.03884,
        2.00932,
        1.97202,
        2.00882,
        2.0182,
        2.03625,
        1.97621,
        2.00969,
        1.98714,
        1.92852,
        1.94588,
        1.96236,
        2.00376,
        1.98853,
        1.98905,
        2.02008,
        1.97567,
        1.96272,
        1.98493,
        1.94843,
        1.97907,
        1.99833,
        1.98408,
        1.98636,
        1.94506,
        1.91017,
        1.95146,
        1.88946,
        1.94467,
        2.00138,
        1.98603,
        2.0298,
        1.95338,
        2.03141,
        2.04609,
        1.98777,
        1.96364,
        1.98564,
        2.02587,
        2.00181,
        2.02987,
        1.97993,
        1.96446,
        2.03097,
        2.01685,
        1.95778,
        1.99964,
        1.94629,
        1.95561,
        2.03414,
        1.98069,
        1.97691,
        1.98665,
        1.9415,
        1.99289,
        1.96797,
        1.99599,
        2.02011,
        1.9702,
        2.00758,
        1.97446,
        1.99464,
        2.01723,
        1.97093,
        1.96411,
        1.99824,
        1.97255,
        1.95209,
        2.00309,
        1.93391,
        1.96069,
        1.99493,
        1.98705,
        1.96197,
        1.97328,
        1.97284,
        1.9702,
        1.99026,
        1.93225,
        1.88097,
        1.98427,
        2.00229,
        1.99827,
        2.00383,
        2.00975,
        1.95883,
        1.986,
        1.93292,
        1.91779,
        1.98896,
        1.97994,
        2.02459,
        1.99607,
        1.96764,
        1.97168,
        1.98735,
        2.00239,
        1.95886,
        1.93059,
        1.96211,
        1.95612,
        2.00444,
        1.9841,
        2.02128,
        2.00764,
        1.98649,
        1.97454,
        1.97724,
        1.97308,
        1.95662,
        1.96992,
        1.97131,
        1.95505,
        1.95733,
        2.01569,
        2.05813,
        2.03323,
        1.97661,
        1.96478,
        2.00294,
        1.97968,
        1.98894,
        1.98342,
        1.99804,
        1.97166,
        1.98846,
        2.0444,
        1.93823,
        1.94616,
        1.98917,
        1.94471,
        2.03766,
        2.02396,
        1.91315,
        1.98594,
        2.03932,
        2.04829,
        2.02976,
        1.99947,
        1.95847,
        1.94664,
        1.95086,
        1.89194,
        1.92914,
        1.96173,
        1.98455,
        1.97316,
        1.98065,
        1.99571,
        2.00751,
        1.93077,
        1.95813,
        1.99023,
        2.00911,
        1.99948,
        1.93665,
        2.00762,
        1.98606,
        2.02381,
        2.03295,
        1.98963,
        2.04099,
        2.05599,
        2.04463,
        1.93116,
        1.92782,
        2.01899,
        2.00275,
        1.99339,
        1.98919,
        1.95943,
        1.86924,
        1.94347,
        2.01749,
        2.0248,
        2.06235,
        1.92933,
        1.96549,
        2.00814,
        2.02075,
        2.07288,
        2.05475,
        1.95229,
        2.0151,
        1.99277,
        1.95558,
        1.95767,
        1.97723,
        2.01516,
        2.01517,
        1.95556,
        1.96055,
        1.98069,
        1.94427,
        1.91289,
        1.9276,
        1.97324,
        2.00207,
        1.96942,
        1.93517,
        1.96838,
        2.04877,
        1.9895,
        1.93243,
        1.92598,
        1.99634,
        1.89836,
        1.90833,
        1.94057,
        1.98694,
        1.98502,
        1.98661,
        1.9814,
        1.97389,
        2.0006,
        1.95198,
        1.95645,
        1.98305,
        1.94325,
        1.9066,
        1.97047,
        2.03173,
        2.03887,
        1.94943,
        1.9214,
        1.95438,
        1.97274,
        1.98228,
        1.99512,
        1.94578,
        1.94574,
        1.96733,
        1.98699,
        1.99478,
        2.03046,
        1.95987,
        1.96207,
        1.96214,
        1.97421,
        1.94942,
        1.97462,
        1.97501,
        1.99295,
        1.98465,
        2.00295,
        1.94416,
        2.03273,
        1.97936,
        1.93973,
        1.91258,
        1.95523,
        1.99938,
        1.99414,
        1.97953,
        2.00767,
        1.99263,
        1.96518,
        1.95161,
        1.96209,
        1.98419,
        1.97169,
        1.98512,
        1.94058,
        1.9254,
        1.95552,
        1.96581,
        2.03588,
        1.9805,
        1.9804,
        2.02128,
        1.91958,
        1.92437,
        1.9228,
        1.91435,
        1.93463,
        1.97275,
        1.96689,
        1.95509,
        1.95399,
        1.92886,
        1.96083,
        1.96536,
        1.95772,
        1.91646,
        1.92802,
        1.95838,
        2.01027,
        1.95713,
        1.9648,
        2.00767,
        1.99847,
        1.98752,
        1.99035,
        1.98522,
        1.92917,
        1.9605,
        1.97238,
        1.97541,
        1.96073,
        2.00705,
        1.96087,
        1.96906,
        1.97409,
        1.98213,
        2.01752,
        1.97437,
        1.98339,
        2.0015,
        1.98384,
        1.94437,
        1.96148,
        1.98826,
        2.00381,
        1.93852,
        1.96402,
        2.02336,
        2.00797,
        1.99774,
        1.95618,
        1.96178,
        1.96727,
        1.9698,
        1.97826,
        1.94595,
        1.98117,
        1.96071,
        1.99883,
        1.96448,
        1.98458,
        1.96242,
        1.92788,
        1.97115,
        1.96312,
        1.95742,
        1.99177,
        1.92496,
        1.9454,
        1.92419,
        1.91815,
        1.97252,
        1.9641,
        1.91091,
        1.9085,
        1.92634,
        1.93908,
        2.06175,
        1.99792,
        1.95317,
        2.00096,
        2.01221,
        1.9141,
        1.96272,
        1.92924,
        1.91551,
        1.93941,
        1.91329,
        1.94937,
        1.91211,
        2.0128,
        1.98108,
        1.92707,
        1.94877,
        1.99115,
        1.94717,
        1.94336,
        1.95652,
        1.9974,
        1.96879,
        1.94073,
        1.97772,
        2.01465,
        2.01042,
        1.9849,
        1.94383,
        1.97764,
        2.00521,
        1.98893,
        2.04825,
        2.03617,
        1.94906,
        1.97197,
        1.98719,
        1.91664,
        1.94306,
        1.99937,
        1.96491,
        1.91363,
        1.97005,
        1.97703,
        1.9468,
        1.94679,
        1.92828,
        1.95051,
        1.96978,
        1.89628,
        1.93057,
        1.92278,
        1.93468,
        2.02887,
        2.01529,
        2.02165,
        1.99964,
        1.93505,
        1.90429,
        1.94147,
        1.97594,
        1.90908,
        1.94638,
        1.90365,
        1.95918,
        2.03898,
        1.98796,
        1.96194,
        1.96086,
        1.99642,
        1.97579,
        1.88244,
        1.99576,
        1.98284,
        1.94027,
        1.90925,
        1.92865,
        2.02352,
        2.01313,
        1.96164,
        1.98143,
        1.91515,
        1.95483,
        1.99909,
        1.97231,
        1.9061,
        1.9359,
        1.97041,
        2.00249,
        1.97511,
        2.03203,
        1.89868,
        1.97728,
        1.9866,
        1.94617,
        1.9569,
        1.96636,
        1.92109,
        1.92722,
        1.97667,
        1.95644,
        1.99633,
        2.00051,
        1.99866,
        1.98579,
        1.95071,
        1.97551,
        1.91352,
        1.94111,
        1.974,
        2.00738,
        1.99096,
        1.99049,
        1.94309,
        1.91299,
        1.9259,
        1.91473,
        2.00631,
        1.95499,
        2.01838,
        1.98176,
        1.99861,
        2.00657,
        1.97753,
        1.93344,
        1.97264,
        1.96295,
        1.98371,
        1.99102,
        1.97314,
        1.99477,
        1.96662,
        1.99014,
        1.93944,
        1.96623,
        2.00187,
        1.94827,
        1.89278,
        1.93576,
        2.02409,
        2.01011,
        2.00854,
        1.96345,
        2.01404,
        2.01788,
        2.04212,
        1.9713,
        2.04219,
        1.99758,
        1.93373,
        1.94822,
        1.99816,
        1.96619,
        2.0487,
        1.99374,
        1.98847,
        2.0631,
        2.03371,
        2.04704,
        1.98788,
        1.93509,
        1.97174,
        1.96332,
        2.0189,
        1.98398,
        1.92418,
        2.04229,
        2.04522,
        1.91415,
        1.99262,
        1.95723,
        2.00399,
        2.01346,
        1.99174,
        1.9922,
        1.94471,
        1.97868,
        1.99046,
        2.05619,
        1.97878,
        2.01212,
        1.99105,
        1.98549,
        2.02297,
        1.97971,
        2.07518,
        2.0219,
        2.02512,
        1.96619,
        2.00362,
        1.96509,
        1.95141,
        2.0601,
        2.01732,
        1.96539,
        1.81815,
        1.89656,
        1.87027,
        2.21803,
        2.14967,
        2.02542,
        1.91867,
        2.10564,
        2.01022,
        1.9061,
        2.04383,
        2.21225,
        2.17194,
        2.09985,
        2.11056,
        2.0446,
        1.99488,
        1.85834,
        1.8497,
        2.0291,
        1.86576,
        1.96638,
        1.93689,
        2.04729,
        1.91221,
        1.95127,
        2.01147,
        1.98986,
        1.98023,
        1.9322,
        1.93252,
        1.8829,
        1.97213,
        2.0045,
        2.01037,
        1.96237,
        1.94887,
        1.9137,
        1.99393,
        1.93793,
        1.99106,
        1.96784,
        2.01668,
        1.93677,
        1.93874,
        2.00293,
        2.03458,
        1.98043,
        1.96131,
        1.96675,
        1.96547,
        2.01027,
        1.96802,
        2.02224,
        2.06085,
        2.06238,
        2.01119,
        1.89749,
        1.95431,
        1.92824,
        1.91546,
        1.91044,
        1.95131,
        1.98119,
        1.98605,
        1.95958,
        1.98143,
        1.93997,
        2.00281,
        2.02922,
        1.94577,
        1.92531,
        1.92177,
        1.96671,
        1.971,
        1.98816,
        1.99392,
        1.98758,
        1.87163,
        1.92646,
        1.96878,
        1.91078,
        1.80418,
        1.95372,
        1.97464,
        1.99519,
        1.99429,
        1.92509,
        1.96322,
        1.92581,
        2.05195,
        1.90826,
        1.98095,
        2.02318,
        1.93185,
        2.0131,
        1.97891,
        2.02999,
        2.03281,
        2.07759,
        2.04678,
        1.89902,
        1.91381,
        2.08847,
        2.0632,
        1.99872,
        1.9623,
        2.10249,
        2.03947,
        1.95097,
        1.96814,
        1.94982,
        1.93139,
        1.9119,
        1.98702,
        1.93577,
        1.9446,
        1.96152,
        2.04843,
        2.01815,
        2.01295,
        2.01527,
        2.09283,
        2.01769,
        1.91728,
        2.00261,
        1.98048,
        1.95948,
        2.03744,
        1.98467,
        2.03731,
        2.03048,
        2.03908,
        2.02705,
        1.95282,
        1.96806,
        2.00891,
        2.03356,
        2.03443,
        1.95778,
        1.94559,
        1.93197,
        1.95752,
        1.98732,
        1.9626,
        2.13398,
        2.10558,
        1.94532,
        1.99541,
        null,
        2.10545,
        2.04196,
        1.98551,
        1.98607,
        1.99328,
        2.2698,
        2.43781,
        2.33608,
        2.22276,
        2.28865,
        2.18448,
        1.7962,
        1.96602,
        2.14813,
        2.2205,
        2.05324,
        1.77915,
        2.02981,
        1.91582,
        1.98882,
        2.22369,
        2.21587,
        2.21388,
        1.99772,
        2.14962,
        2.21609,
        2.31393,
        2.1497,
        2.06315,
        2.2138,
        2.32953,
        2.30956,
        2.31173,
        2.18211,
        2.01353,
        2.11214,
        2.00965,
        1.89749,
        2.14784,
        2.21743,
        2.08566,
        1.96034,
        2.11892,
        2.1352,
        1.9573,
        2.21647,
        2.30337,
        2.13486,
        2.24675,
        2.13879,
        2.0544,
        1.99996,
        1.89646,
        2.05352,
        2.12783,
        2.04122,
        2.17962,
        2.04624,
        2.04107,
        1.88998,
        2.1958,
        2.53961,
        2.25578,
        2.2514,
        2.124,
        2.46072,
        1.87467,
        1.96486,
        2.08592,
        1.97592,
        2.18963,
        2.07213,
        2.16704,
        2.14347,
        2.12303,
        2.22164,
        2.02697,
        1.88965,
        2.01083,
        2.20789,
        2.04347,
        2.20876,
        2.18255,
        1.98134,
        2.18517,
        2.13393,
        2.13876,
        2.13995,
        2.29986,
        2.12427,
        2.12044,
        2.15734,
        2.2484,
        1.89022,
        2.06879,
        2.19356,
        2.13439,
        2.06765,
        2.03117,
        2.05532,
        2.19706,
        2.05566,
        2.25992,
        2.09962,
        1.90708,
        2.10299,
        2.07499,
        2.19837,
        2.04082,
        2.06051,
        2.10214,
        2.10451,
        1.96319,
        2.20259,
        2.21099,
        2.03423,
        2.1006,
        2.08814,
        2.02418,
        2.09025,
        2.02562,
        2.12387,
        1.80269,
        1.96376,
        2.12953,
        2.11721,
        1.97987,
        2.19888,
        2.26975,
        1.95138,
        2.14065,
        2.051,
        2.02192,
        2.1889,
        2.17655,
        1.99766,
        2.09298,
        1.94885,
        2.17641,
        2.23797,
        2.10235,
        1.91856,
        2.12575,
        2.10281,
        2.01019,
        2.09767,
        1.84819,
        2.13532,
        1.84097,
        2.03204,
        2.15536,
        2.30274,
        2.02211,
        2.06449,
        1.90285,
        2.16807,
        1.85269,
        1.95049,
        2.03031,
        1.99963,
        2.06425,
        2.31693,
        2.1232,
        2.16758,
        2.09563,
        2.09721,
        2.07127,
        2.03784,
        2.18901,
        2.02504,
        2.09984,
        2.16001,
        2.00436,
        1.95706,
        2.3273,
        2.01993,
        1.64227,
        2.02921,
        2.18592,
        1.95709,
        1.9508,
        2.20012,
        2.17205,
        2.15024,
        null,
        2.31934,
        2.32295,
        2.18692,
        2.29033,
        2.18864,
        2.35992,
        2.22795,
        2.20343,
        2.19768,
        2.04532,
        2.40738,
        2.31284,
        1.92747,
        2.09684,
        2.07526,
        1.89671,
        2.1247,
        2.09614,
        1.97186,
        1.98988,
        2.13184,
        2.09383,
        1.84304,
        2.04713,
        1.72433,
        1.9712,
        2.10495,
        2.2137,
        2.29559,
        2.07362,
        2.21582,
        2.22804,
        2.19723,
        1.97642,
        2.18644,
        2.12925,
        2.1175,
        2.18287,
        2.19831,
        2.15038,
        2.18833,
        1.89057,
        2.10277,
        2.09745,
        2.1007,
        1.96697,
        2.11719,
        1.92015,
        1.98909,
        2.16637,
        2.31868,
        2.13555,
        1.98896,
        2.17699,
        2.14796,
        2.05291,
        1.98851,
        2.01717,
        2.18185,
        2.01111,
        2.05745,
        1.98685,
        1.96814,
        2.06173,
        2.15012,
        2.39784,
        2.25117,
        2.07396,
        2.05334,
        1.96514,
        2.04643,
        2.07976,
        2.10517,
        2.06765,
        2.09001,
        2.09213,
        1.99193,
        2.12844,
        2.19126,
        1.97767,
        2.00094,
        1.98067,
        2.15096,
        2.19585,
        2.11528,
        2.12266,
        2.06192,
        2.12345,
        2.11974,
        2.10357,
        2.27972,
        2.11625,
        2.0793,
        2.01236,
        1.95938,
        2.18539,
        2.1728,
        1.97796,
        1.91786,
        1.9976,
        2.06857,
        2.38717,
        2.24707,
        2.11968,
        2.12962,
        2.12874,
        2.07585,
        2.13738,
        2.07905,
        2.1152,
        2.16217,
        2.02683,
        2.11494,
        2.19557,
        2.19278,
        2.14555,
        2.04059,
        2.08083,
        2.16186,
        2.10192,
        2.21737,
        2.2212,
        2.05969,
        2.02722,
        1.90787,
        2.04948,
        2.05212,
        2.15446,
        2.1125,
        1.98646,
        1.96662,
        1.98904,
        2.10147,
        2.10175,
        2.10228,
        2.12294,
        2.22259,
        2.32643,
        2.10659,
        2.09787,
        2.013,
        2.15136,
        2.02971,
        2.10704,
        1.95668,
        1.92296,
        2.52822,
        2.13364,
        1.97659,
        1.95887,
        1.88437,
        1.97718,
        2.02946,
        2.09845,
        2.08969,
        1.98081,
        2.03759,
        2.09351,
        2.03775,
        2.07466,
        2.05436,
        2.01254,
        2.08353,
        2.07924,
        1.97923,
        1.98676,
        2.05316,
        2.12172,
        2.10827,
        2.1469,
        2.09921,
        2.05473,
        2.06815,
        2.11891,
        2.01611,
        2.0738,
        2.07849,
        2.04688,
        2.10612,
        2.17912,
        2.0932,
        2.04306,
        2.15729,
        2.1444,
        2.16237,
        2.1852,
        2.19259,
        2.14155,
        2.03556,
        2.02005,
        2.06175,
        2.03839,
        2.13987,
        2.12143,
        2.03508,
        2.20447,
        2.13591,
        2.07361,
        2.08286,
        2.11589,
        2.0979,
        2.08527,
        2.03535,
        1.96803,
        2.12213,
        2.07014,
        2.19458,
        2.11203,
        2.17808,
        2.046,
        1.96459,
        2.13076,
        2.18101,
        2.06355,
        2.13235,
        2.05331,
        1.96276,
        2.14574,
        2.20409,
        2.08522,
        2.0652,
        2.06395,
        2.07828,
        2.11528,
        2.1165,
        2.137,
        2.21239,
        2.12576,
        2.09888,
        2.08487,
        2.08072,
        2.12165,
        2.06058,
        2.07473,
        2.05167,
        2.09499,
        1.9845,
        2.04545,
        2.08403,
        2.08462,
        2.04931,
        2.12377,
        2.1904,
        2.15064,
        2.15748,
        1.94957,
        2.09918,
        2.13574,
        2.04916,
        1.99751,
        2.01757,
        1.99644,
        2.10618,
        2.1296,
        2.05485,
        2.02681,
        2.01527,
        1.9556,
        1.9679,
        2.08334,
        2.0638,
        2.03971,
        2.13351,
        2.20088,
        2.05807,
        2.09228,
        2.03646,
        2.03618,
        2.17597,
        2.21828,
        2.28005,
        2.11737,
        2.01823,
        1.99408,
        2.04669,
        2.14457,
        2.0594,
        1.96421,
        2.12491,
        2.33653,
        2.3145,
        2.02439,
        2.12813,
        1.97053,
        1.9179,
        2.04213,
        2.21745,
        2.1571,
        2.11245,
        2.06434,
        2.09405,
        2.02337,
        2.06187,
        2.10113,
        2.21876,
        2.05035,
        2.03968,
        2.13349,
        2.07584,
        2.09508,
        2.11114,
        2.03448,
        2.2402,
        2.13077,
        2.10099,
        2.10272,
        2.05569,
        2.15227,
        2.12342,
        2.01753,
        2.08718,
        2.0019,
        2.0917,
        2.09712,
        2.08615,
        2.06038,
        2.08119,
        2.07707,
        2.09201,
        2.06726,
        2.13382,
        2.22117,
        2.15243,
        2.04733,
        2.09689,
        2.07933,
        2.02401,
        2.09978,
        2.06123,
        2.00457,
        1.97096,
        2.03372,
        2.09068,
        2.14177,
        2.1549,
        2.07686,
        2.03598,
        2.15949,
        2.18219,
        2.09862,
        2.12579,
        2.05303,
        2.01685,
        2.09146,
        2.10761,
        2.09757,
        2.06758,
        2.0879,
        2.04808,
        2.00431,
        2.14496,
        2.09954,
        2.09223,
        2.08349,
        2.09636,
        2.04114,
        2.0343,
        2.0983,
        2.14127,
        2.15495,
        2.07212,
        2.05939,
        2.11511,
        2.0513,
        2.02487,
        2.03383,
        2.08325,
        2.08991,
        2.15406,
        2.13335,
        2.02387,
        2.06869,
        2.13184,
        2.1411,
        2.16741,
        2.11474,
        2.12998,
        2.05565,
        2.08249,
        2.08684,
        2.07103,
        2.14889,
        2.18001,
        2.14467,
        2.08506,
        1.98067,
        2.00044,
        2.00208,
        2.09644,
        2.11447,
        1.99472,
        2.01846,
        2.0119,
        2.17,
        2.18635,
        2.08571,
        2.04139,
        2.03199,
        2.07835,
        2.12413,
        2.18747,
        2.20636,
        2.07143,
        2.04338,
        2.05528,
        2.13043,
        2.20398,
        2.08707,
        2.03001,
        2.12359,
        2.13823,
        2.09502,
        2.03374,
        2.07754,
        2.05727,
        2.11016,
        2.0809,
        2.03388,
        2.07512,
        2.072,
        2.15874,
        1.99316,
        2.05014,
        2.16996,
        2.2263,
        2.12547,
        2.12797,
        2.10952,
        2.16508,
        2.16344,
        2.20153,
        2.07026,
        2.02111,
        2.08262,
        2.11334,
        2.05369,
        2.0002,
        2.01016,
        1.97884,
        2.13733,
        2.16246,
        2.18188,
        2.16888,
        2.06494,
        2.13099,
        2.22142,
        2.16247,
        2.03783,
        2.20787,
        2.02823,
        1.97738,
        1.7907,
        2.20711,
        2.1066,
        2.11493,
        2.02394,
        2.04869,
        2.24564,
        2.16809,
        1.989,
        2.10529,
        2.07614,
        2.14667,
        2.18148,
        2.09635,
        1.97965,
        1.91114,
        1.98358,
        2.06806,
        2.07831,
        2.01734,
        2.21364,
        2.13221,
        2.04657,
        2.1219,
        2.12943,
        2.1456,
        2.20502,
        2.0526,
        2.10516,
        2.04363,
        2.05448,
        2.01212,
        2.14046,
        2.0779,
        2.00123,
        2.09051,
        2.05652,
        2.06369,
        2.02556,
        2.00462,
        2.06218,
        2.01355,
        2.01812,
        2.0839,
        2.07205,
        2.06813,
        2.1073,
        2.01887,
        2.09781,
        2.03816,
        1.98163,
        2.02575,
        2.17289,
        2.18283,
        2.20403,
        2.20168,
        2.18968,
        2.20391,
        2.15743,
        2.16422,
        2.17594,
        2.17364,
        2.1798,
        2.14285,
        2.13867,
        2.14665,
        2.13556,
        2.11708,
        2.056,
        2.06174,
        2.09925,
        2.16862,
        2.11464,
        2.09882,
        2.06951,
        2.00486,
        2.20073,
        2.2439,
        2.08489,
        2.09703,
        1.95074,
        2.17813,
        1.96087,
        2.11322,
        2.0994,
        2.07203,
        2.15229,
        2.20774,
        2.12815,
        2.04301,
        1.94323,
        2.02694,
        1.99473,
        1.98264,
        2.11132,
        2.18646,
        2.14088,
        2.24351,
        2.19486,
        2.23226,
        2.16983,
        2.07927,
        2.0705,
        1.98392,
        2.10554,
        2.03462,
        2.00848,
        2.06576,
        1.93836,
        1.88103,
        2.00584,
        2.17655,
        2.22935,
        2.15106,
        1.9865,
        2.12633,
        2.05643,
        2.06955,
        2.02256,
        2.09104,
        2.16832,
        2.18987,
        2.05525,
        2.14491,
        2.2107,
        2.16223,
        2.12846,
        2.07447,
        2.18215,
        2.05044,
        2.06733,
        2.10588,
        2.00596,
        2.03569,
        2.1232,
        2.30707,
        2.12621,
        2.07584,
        2.12426,
        2.0861,
        2.02988,
        2.1592,
        2.15903,
        2.12838,
        1.97082,
        2.00678,
        2.19099,
        2.0253,
        1.91165,
        2.13662,
        2.18279,
        1.91296,
        1.96889,
        2.11486,
        2.06122,
        2.0034,
        2.10291,
        2.00816,
        2.22724,
        1.98677,
        1.98582,
        2.14022,
        2.11652,
        2.13069,
        1.98325,
        2.07853,
        1.88453,
        1.84612,
        1.89091,
        1.84266,
        2.01796,
        2.04566,
        1.98669,
        1.98483,
        2.03709,
        2.03063,
        2.08482,
        2.03852,
        2.01039,
        2.21585,
        2.22746,
        1.9933,
        2.25125,
        2.197
    ],
    "flux_error": [
        0.0791253,
        0.0775308,
        0.0760041,
        0.0735613,
        0.0716862,
        0.0704619,
        0.0694717,
        0.0684878,
        0.0681083,
        0.0677137,
        0.0675803,
        0.0681747,
        0.0683984,
        0.0691157,
        0.0712398,
        0.0797461,
        0.0823011,
        0.0811824,
        0.0867276,
        0.0957406,
        0.109723,
        0.128712,
        0.155973,
        0.193987,
        0.163236,
        0.140629,
        0.128411,
        0.12168,
        0.115277,
        0.113719,
        0.115859,
        0.117836,
        0.119814,
        0.121118,
        0.122408,
        0.126647,
        0.132723,
        0.142331,
        0.156669,
        0.175159,
        0.204733,
        0.165738,
        0.146986,
        0.131111,
        0.118327,
        0.10859,
        0.102569,
        0.0983462,
        0.0943588,
        0.0917599,
        0.0921819,
        0.0932086,
        0.0927885,
        0.0917381,
        0.087347,
        0.0825042,
        0.0797105,
        0.0796122,
        0.082184,
        0.0867392,
        0.0914937,
        0.0983012,
        0.110277,
        0.128677,
        0.151383,
        0.167755,
        0.190597,
        0.169274,
        0.128737,
        0.108881,
        0.0959393,
        0.0871734,
        0.0805733,
        0.0760133,
        0.073421,
        0.0718914,
        0.0708963,
        0.0712766,
        0.0727931,
        0.0746272,
        0.0778119,
        0.0813811,
        0.088329,
        0.0992364,
        0.110209,
        0.117919,
        0.119575,
        0.11567,
        0.112333,
        0.1086,
        0.108454,
        0.113058,
        0.11953,
        0.130125,
        0.140804,
        0.154289,
        0.17245,
        0.195238,
        0.179059,
        0.156731,
        0.136851,
        0.124292,
        0.115646,
        0.10953,
        0.104416,
        0.102312,
        0.102032,
        0.103114,
        0.107927,
        0.114845,
        0.122744,
        0.133827,
        0.140859,
        0.133605,
        0.117752,
        0.101399,
        0.0884446,
        0.0784356,
        0.0722395,
        0.0684347,
        0.0661685,
        0.0637465,
        0.0611985,
        0.059515,
        0.0584623,
        0.0581167,
        0.0569959,
        0.055605,
        0.0544519,
        0.0537412,
        0.0530857,
        0.0527141,
        0.0523098,
        0.0523128,
        0.0523561,
        0.0529292,
        0.0535184,
        0.05456,
        0.0552952,
        0.0559608,
        0.0574567,
        0.0593324,
        0.0620411,
        0.0669133,
        0.0714746,
        0.0747952,
        0.0801799,
        0.0859349,
        0.095504,
        0.109333,
        0.125872,
        0.142181,
        0.155489,
        0.166234,
        0.179731,
        0.203523,
        0.191046,
        0.183272,
        0.167694,
        0.14915,
        0.130014,
        0.111989,
        0.0987402,
        0.0888854,
        0.090787,
        0.0840305,
        0.0702572,
        0.0663537,
        0.0632367,
        0.0613196,
        0.0593814,
        0.0586801,
        0.0581821,
        0.0563887,
        0.0547385,
        0.0529032,
        0.051494,
        0.0503021,
        0.049308,
        0.0482899,
        0.0475389,
        0.0468758,
        0.0466451,
        0.0465288,
        0.0464835,
        0.0465219,
        0.0463594,
        0.0463859,
        0.0464146,
        0.0465715,
        0.0472996,
        0.0481944,
        0.0491132,
        0.0498928,
        0.0516683,
        0.0543805,
        0.0582318,
        0.0666069,
        0.071725,
        0.069339,
        0.0698857,
        0.0690613,
        0.0687138,
        0.0685879,
        0.0692321,
        0.0698939,
        0.0722058,
        0.0757794,
        0.0792741,
        0.0837533,
        0.0914141,
        0.0991627,
        0.1081,
        0.120272,
        0.136306,
        0.158868,
        0.187746,
        0.219672,
        0.180194,
        0.151993,
        0.131337,
        0.116227,
        0.104189,
        0.0940524,
        0.0867244,
        0.08184,
        0.0778539,
        0.0776174,
        0.0742503,
        0.0673492,
        0.0630285,
        0.0591793,
        0.0566742,
        0.0548908,
        0.0533684,
        0.0529209,
        0.0531251,
        0.0539959,
        0.0549349,
        0.056742,
        0.0596118,
        0.0625512,
        0.0623232,
        0.0599053,
        0.0564745,
        0.0527129,
        0.0501092,
        0.0480363,
        0.0469702,
        0.0467158,
        0.0465861,
        0.0470116,
        0.0477227,
        0.0496463,
        0.0502094,
        0.050043,
        0.0503193,
        0.0501729,
        0.0497941,
        0.0499398,
        0.0507356,
        0.0511761,
        0.0513548,
        0.0519446,
        0.0526879,
        0.0538679,
        0.0556931,
        0.0648398,
        0.0677181,
        0.0646312,
        0.0684482,
        0.0720298,
        0.0747934,
        0.078141,
        0.0814027,
        0.0862064,
        0.0921431,
        0.0995504,
        0.109379,
        0.120213,
        0.13571,
        0.153895,
        0.222059,
        0.181763,
        0.15075,
        0.129594,
        0.11497,
        0.103093,
        0.0921543,
        0.0839672,
        0.0774557,
        0.0729667,
        0.0688039,
        0.065885,
        0.0631572,
        0.0636698,
        0.059082,
        0.054426,
        0.0520732,
        0.0510981,
        0.049911,
        0.0480987,
        0.0472683,
        0.0467363,
        0.0461571,
        0.045774,
        0.0456575,
        0.0456268,
        0.0452206,
        0.045185,
        0.0453205,
        0.0450095,
        0.0447541,
        0.0511268,
        0.0508587,
        0.0439172,
        0.0437118,
        0.0439282,
        0.0444534,
        0.0452389,
        0.0463959,
        0.0473791,
        0.0483456,
        0.0490936,
        0.049777,
        0.0509198,
        0.0521185,
        0.0537037,
        0.0635179,
        0.065416,
        0.0668768,
        0.0715226,
        0.066052,
        0.0669179,
        0.067171,
        0.0698157,
        0.0724209,
        0.076057,
        0.0809859,
        0.0881593,
        0.0948266,
        0.105733,
        0.121015,
        0.139203,
        0.162514,
        0.20025,
        0.16724,
        0.144776,
        0.126892,
        0.11218,
        0.101696,
        0.0925972,
        0.0835509,
        0.0769138,
        0.0721556,
        0.0676212,
        0.0631121,
        0.0596611,
        0.0565087,
        0.0540514,
        0.0514586,
        0.0492002,
        0.06368,
        0.0617486,
        0.0447311,
        0.0433367,
        0.0422123,
        0.0413258,
        0.040534,
        0.0398333,
        0.0394699,
        0.0389114,
        0.0387551,
        0.0381985,
        0.0378559,
        0.0378045,
        0.0377321,
        0.0375422,
        0.0373353,
        0.0374882,
        0.0381013,
        0.0387605,
        0.048444,
        0.0484473,
        0.0405098,
        0.0406063,
        0.0409651,
        0.0414169,
        0.0416981,
        0.0423264,
        0.0429992,
        0.0436144,
        0.0442086,
        0.0456274,
        0.0479321,
        0.0501875,
        0.0531995,
        0.0560733,
        0.0594986,
        0.0630345,
        0.0657051,
        0.0696372,
        0.0756422,
        0.083813,
        0.0946723,
        0.109207,
        0.127545,
        0.145144,
        0.154821,
        0.154298,
        0.155256,
        0.16156,
        0.173174,
        0.19278,
        0.169191,
        0.142674,
        0.126336,
        0.108533,
        0.0947619,
        0.0858396,
        0.0788618,
        0.0731089,
        0.0676792,
        0.0631145,
        0.0598926,
        0.0594056,
        0.0569985,
        0.0524538,
        0.0502847,
        0.0486258,
        0.0471542,
        0.0457826,
        0.0449476,
        0.0435322,
        0.0426391,
        0.0465464,
        0.0442105,
        0.0409384,
        0.0412295,
        0.0414911,
        0.041701,
        0.0420574,
        0.0426435,
        0.0433325,
        0.0434594,
        0.0428687,
        0.0420415,
        0.0414623,
        0.0411348,
        0.0476343,
        0.0477432,
        0.0422123,
        0.0435576,
        0.0453261,
        0.0469162,
        0.0482997,
        0.0494303,
        0.0497032,
        0.0505822,
        0.0527036,
        0.0561773,
        0.0612811,
        0.0676021,
        0.0764492,
        0.0874952,
        0.096316,
        0.0983235,
        0.0976148,
        0.0872477,
        0.075296,
        0.0714996,
        0.0693155,
        0.0688836,
        0.0704952,
        0.0721452,
        0.0752794,
        0.0774943,
        0.0824783,
        0.0892149,
        0.0958745,
        0.105783,
        0.116765,
        0.131251,
        0.152801,
        0.182483,
        0.145045,
        0.128464,
        0.114504,
        0.104382,
        0.100455,
        0.0945082,
        0.0858811,
        0.080324,
        0.0778396,
        0.0766722,
        0.0776627,
        0.0814831,
        0.0903817,
        0.1033,
        0.118361,
        0.127549,
        0.122094,
        0.104844,
        0.0880915,
        0.0748223,
        0.065248,
        0.0589883,
        0.0551973,
        0.0524646,
        0.0509489,
        0.0502858,
        0.0500872,
        0.0501618,
        0.0505518,
        0.0507168,
        0.0554882,
        0.0545402,
        0.0537565,
        0.0565826,
        0.0604183,
        0.0671255,
        0.0765766,
        0.089285,
        0.1081,
        0.132444,
        0.134978,
        0.121364,
        0.10096,
        0.0832444,
        0.085933,
        0.0767657,
        0.0588121,
        0.0546269,
        0.0523795,
        0.0503767,
        0.0492245,
        0.0487187,
        0.048088,
        0.0476317,
        0.0482611,
        0.0489637,
        0.0500691,
        0.0522923,
        0.0578426,
        0.060314,
        0.0603417,
        0.0642498,
        0.0680754,
        0.0751627,
        0.0792413,
        0.0810896,
        0.0861574,
        0.0944126,
        0.106238,
        0.125385,
        0.143569,
        0.159156,
        0.198602,
        0.159297,
        0.130985,
        0.111831,
        0.0998437,
        0.0901531,
        0.0810856,
        0.0737875,
        0.0682884,
        0.0653004,
        0.0627788,
        0.0718498,
        0.0734786,
        0.0557719,
        0.0529799,
        0.0524335,
        0.0539573,
        0.0544568,
        0.0509011,
        0.050633,
        0.0518528,
        0.0534317,
        0.0536766,
        0.05557,
        0.0594209,
        0.0648778,
        0.0726273,
        0.0846935,
        0.113246,
        0.143171,
        0.15992,
        0.160082,
        0.109933,
        0.0796251,
        0.0642323,
        0.0557178,
        0.0504807,
        0.0477435,
        0.0458996,
        0.0449149,
        0.0443735,
        0.0444382,
        0.0445645,
        0.0448339,
        0.0456334,
        0.0467175,
        0.0471632,
        0.0479533,
        0.0481703,
        0.0482009,
        0.0496713,
        0.0489409,
        0.0485964,
        0.0540745,
        0.0560228,
        0.0544104,
        0.056939,
        0.0603491,
        0.0629766,
        0.0665791,
        0.0813879,
        0.0860023,
        0.0785256,
        0.0858998,
        0.094518,
        0.104949,
        0.120086,
        0.138986,
        0.161924,
        0.198886,
        0.196626,
        0.171904,
        0.145815,
        0.125315,
        0.113012,
        0.102089,
        0.0932707,
        0.08599,
        0.081585,
        0.0784428,
        0.0765277,
        0.0761596,
        0.0763025,
        0.0867226,
        0.0890352,
        0.0917094,
        0.103759,
        0.122549,
        0.145742,
        0.169589,
        0.139112,
        0.121836,
        0.088928,
        0.0706363,
        0.0615396,
        0.0547946,
        0.0502357,
        0.047143,
        0.0442857,
        0.0423266,
        0.0408517,
        0.0395196,
        0.0382516,
        0.0377436,
        0.037584,
        0.0377886,
        0.0380181,
        0.0386547,
        0.0391777,
        0.03983,
        0.040274,
        0.0430464,
        0.0426449,
        0.0397673,
        0.0385696,
        0.0374343,
        0.0370166,
        0.036755,
        0.0364994,
        0.0365333,
        0.0368409,
        0.0374252,
        0.0378078,
        0.0382308,
        0.0388913,
        0.0400889,
        0.0412398,
        0.0427218,
        0.0444768,
        0.0470371,
        0.0493825,
        0.0516073,
        0.0535143,
        0.0556945,
        0.0584528,
        0.0615244,
        0.064715,
        0.0690797,
        0.0741967,
        0.0820888,
        0.0900649,
        0.0984297,
        0.110468,
        0.126914,
        0.148158,
        0.208767,
        0.183493,
        0.1933,
        0.162735,
        0.12588,
        0.103714,
        0.0887824,
        0.0783409,
        0.0694906,
        0.063031,
        0.0581524,
        0.0538931,
        0.0507992,
        0.0481127,
        0.0462298,
        0.0444943,
        0.0426956,
        0.0415565,
        0.0406649,
        0.0420907,
        0.0399998,
        0.0382386,
        0.0384443,
        0.0386523,
        0.0402151,
        0.0408006,
        0.039383,
        0.0390482,
        0.0386688,
        0.03893,
        0.0397693,
        0.0439203,
        0.0458627,
        0.0478426,
        0.0540454,
        0.0634817,
        0.0770663,
        0.0957039,
        0.114658,
        0.123291,
        0.109763,
        0.0873042,
        0.071486,
        0.0610264,
        0.054242,
        0.0498228,
        0.0473125,
        0.0455745,
        0.0444345,
        0.0432555,
        0.0429818,
        0.0441797,
        0.0458131,
        0.0440987,
        0.0447263,
        0.0461382,
        0.0477427,
        0.0491731,
        0.0512821,
        0.0542251,
        0.0579467,
        0.0624253,
        0.0669701,
        0.0702932,
        0.0765788,
        0.0843702,
        0.0948531,
        0.106573,
        0.13468,
        0.159453,
        0.199596,
        0.250364,
        0.264061,
        0.192408,
        0.151158,
        0.124892,
        0.105,
        0.0911521,
        0.0797522,
        0.0719173,
        0.0664191,
        0.0613339,
        0.065077,
        0.0610028,
        0.0500507,
        0.047729,
        0.046135,
        0.0449822,
        0.0440838,
        0.0431502,
        0.042703,
        0.0425765,
        0.0426678,
        0.0420957,
        0.0414785,
        0.0416123,
        0.0404463,
        0.039116,
        0.0372132,
        0.0361789,
        0.0354618,
        0.0349996,
        0.0342752,
        0.0336295,
        0.0331367,
        0.0325838,
        0.0319828,
        0.0314229,
        0.0312083,
        0.0310482,
        0.0310015,
        0.0307915,
        0.0306897,
        0.0307683,
        0.0310248,
        0.0312126,
        0.0312865,
        0.0315755,
        0.0317805,
        0.0322144,
        0.0327032,
        0.0326728,
        0.0325796,
        0.0326142,
        0.0347018,
        0.0338236,
        0.032851,
        0.0332524,
        0.0338672,
        0.0344597,
        0.0349681,
        0.035711,
        0.0370856,
        0.0380821,
        0.0392752,
        0.0404133,
        0.0418405,
        0.043501,
        0.0452818,
        0.0472272,
        0.0500653,
        0.0530884,
        0.0572397,
        0.0614018,
        0.0677349,
        0.0739837,
        0.0808187,
        0.0904847,
        0.102947,
        0.116636,
        0.1357,
        0.163126,
        0.195295,
        0.161197,
        0.133825,
        0.116799,
        0.10434,
        0.0937992,
        0.0869908,
        0.0804194,
        0.0739037,
        0.0677659,
        0.0632468,
        0.059577,
        0.0572043,
        0.0546183,
        0.0523714,
        0.0504345,
        0.0479313,
        0.0478904,
        0.045586,
        0.0404639,
        0.0393912,
        0.038099,
        0.0371651,
        0.0362303,
        0.0350766,
        0.0341916,
        0.0339514,
        0.0336637,
        0.0333521,
        0.0327799,
        0.032335,
        0.0319869,
        0.0320094,
        0.0319588,
        0.0315573,
        0.0351136,
        0.0341184,
        0.0307479,
        0.0307863,
        0.0309633,
        0.034924,
        0.033115,
        0.030574,
        0.0305661,
        0.0306289,
        0.0306664,
        0.0307834,
        0.0308373,
        0.0307509,
        0.0310277,
        0.0311989,
        0.0316051,
        0.031821,
        0.0321384,
        0.0327911,
        0.0331595,
        0.0337865,
        0.0343787,
        0.0352126,
        0.035893,
        0.0365573,
        0.0373803,
        0.03755,
        0.0384318,
        0.0392877,
        0.0401609,
        0.04147,
        0.0432538,
        0.0441981,
        0.0450468,
        0.0470453,
        0.049389,
        0.0520769,
        0.0556351,
        0.0689604,
        0.0741241,
        0.0703857,
        0.0785149,
        0.0874531,
        0.0987183,
        0.112877,
        0.139753,
        0.167643,
        0.170559,
        0.14303,
        0.123759,
        0.111747,
        0.0984272,
        0.0879912,
        0.0785065,
        0.0717051,
        0.0652866,
        0.0602969,
        0.055991,
        0.0529204,
        0.0498423,
        0.0477905,
        0.0455639,
        0.0438061,
        0.0423385,
        0.0415068,
        0.0404298,
        0.0398335,
        0.0391745,
        0.0389739,
        0.0388267,
        0.0386911,
        0.038595,
        0.0399958,
        0.0391898,
        0.0398216,
        0.0411153,
        0.0430275,
        0.0458611,
        0.0488529,
        0.0539894,
        0.0607011,
        0.0694956,
        0.0768237,
        0.0826011,
        0.0822843,
        0.0762828,
        0.0678312,
        0.059213,
        0.0529577,
        0.0482984,
        0.0452044,
        0.0419753,
        0.0401979,
        0.0387873,
        0.0386202,
        0.0380394,
        0.037118,
        0.0379542,
        0.0384458,
        0.0373762,
        0.0372112,
        0.0377114,
        0.0381577,
        0.0382325,
        0.0387741,
        0.0392891,
        0.0401193,
        0.0406517,
        0.0419175,
        0.0430316,
        0.0443581,
        0.0463331,
        0.0490374,
        0.0518503,
        0.0549753,
        0.0593382,
        0.0643662,
        0.0715159,
        0.0809896,
        0.0952514,
        0.11689,
        0.147301,
        0.218195,
        0.168937,
        0.139448,
        0.119871,
        0.1044,
        0.0922078,
        0.0831026,
        0.0820748,
        0.0745288,
        0.0643477,
        0.0603948,
        0.0569285,
        0.0542061,
        0.0536213,
        0.0502977,
        0.0476507,
        0.0455361,
        0.044047,
        0.0443627,
        0.0439327,
        0.0406208,
        0.0389185,
        0.037725,
        0.0368876,
        0.0362282,
        0.0359054,
        0.0354735,
        0.0347737,
        0.03442,
        0.0337541,
        0.0335412,
        0.033547,
        0.0334898,
        0.0331817,
        0.0327969,
        0.0334896,
        0.0335642,
        0.0327048,
        0.0329659,
        0.0336855,
        0.0341844,
        0.0338908,
        0.0339825,
        0.0339407,
        0.034218,
        0.0348411,
        0.034993,
        0.0354451,
        0.036493,
        0.0382119,
        0.0386519,
        0.0393074,
        0.0401934,
        0.0416656,
        0.0426706,
        0.0441162,
        0.0455095,
        0.0466997,
        0.0477565,
        0.0500417,
        0.0588646,
        0.062507,
        0.0600398,
        0.0669868,
        0.0755885,
        0.0876811,
        0.106611,
        0.133373,
        0.175331,
        0.209229,
        0.158374,
        0.131492,
        0.117667,
        0.108923,
        0.0987335,
        0.0935081,
        0.0932436,
        0.0948271,
        0.0962753,
        0.100241,
        0.106618,
        0.116793,
        0.126216,
        0.143536,
        0.169537,
        0.201048,
        0.163621,
        0.119022,
        0.10595,
        0.0942944,
        0.0918012,
        0.0782852,
        0.0714728,
        0.0659001,
        0.0608069,
        0.0579564,
        0.0553781,
        0.0531588,
        0.0515251,
        0.0491091,
        0.0480758,
        0.0479365,
        0.0455231,
        0.0434689,
        0.043302,
        0.0429506,
        0.0430682,
        0.0433495,
        0.0438419,
        0.0433874,
        0.0415444,
        0.0405318,
        0.0417324,
        0.0407183,
        0.0393842,
        0.0397336,
        0.0399926,
        0.0400395,
        0.0398659,
        0.0394074,
        0.0388078,
        0.0378297,
        0.0379171,
        0.0383929,
        0.0378871,
        0.038475,
        0.0385002,
        0.0385277,
        0.039176,
        0.0397621,
        0.0410878,
        0.0426477,
        0.0446221,
        0.046204,
        0.0489552,
        0.053172,
        0.057074,
        0.063803,
        0.0722547,
        0.0839654,
        0.10289,
        0.130853,
        0.245055,
        0.174328,
        0.130165,
        0.105041,
        0.0897443,
        0.0774037,
        0.0704968,
        0.0645757,
        0.060816,
        0.0580586,
        0.0560385,
        0.0552399,
        0.0545917,
        0.0537887,
        0.0543741,
        0.0556003,
        0.0560149,
        0.0581196,
        0.059271,
        0.0619773,
        0.0651004,
        0.0685814,
        0.0732974,
        0.0807649,
        0.0887095,
        0.097028,
        0.11071,
        0.12934,
        0.151461,
        0.177064,
        0.190591,
        0.152165,
        0.127463,
        0.111485,
        0.0992207,
        0.0881981,
        0.0818152,
        0.0757116,
        0.0713278,
        0.0686055,
        0.0784487,
        0.0670004,
        0.0606994,
        0.0566956,
        0.0536825,
        0.0561712,
        0.0527767,
        0.0465745,
        0.0449221,
        0.0435752,
        0.0431428,
        0.0421454,
        0.0408051,
        0.0403472,
        0.0400165,
        0.0394403,
        0.0390996,
        0.0389937,
        0.0390711,
        0.0390987,
        0.0399306,
        0.0401525,
        0.0399998,
        0.0402969,
        0.0409958,
        0.0421532,
        0.0428682,
        0.0442453,
        0.0459715,
        0.0487676,
        0.0546891,
        0.057954,
        0.0635133,
        0.0702424,
        0.0824973,
        0.0988208,
        0.119438,
        0.159528,
        0.156593,
        0.125768,
        0.106246,
        0.0898812,
        0.0780877,
        0.0688814,
        0.0625775,
        0.0589487,
        0.0539144,
        0.0514082,
        0.0501308,
        0.0500128,
        0.0489821,
        0.0481901,
        0.0474671,
        0.0463251,
        0.0534516,
        0.0532247,
        0.045744,
        0.0459289,
        0.0470797,
        0.047632,
        0.0487901,
        0.0496781,
        0.0515205,
        0.0528441,
        0.0549428,
        0.0647504,
        0.0663805,
        0.0611433,
        0.0628141,
        0.0650937,
        0.0682558,
        0.0735962,
        0.0791085,
        0.0857091,
        0.0944614,
        0.104456,
        0.114609,
        0.136985,
        0.165711,
        0.200042,
        0.211214,
        0.16675,
        0.137039,
        0.120325,
        0.109238,
        0.0984932,
        0.088093,
        0.0809883,
        0.0761962,
        0.0722844,
        0.0702285,
        0.067617,
        0.0655236,
        0.0651916,
        0.0653249,
        0.0646436,
        0.0624659,
        0.0602671,
        0.0579499,
        0.0562682,
        0.0541765,
        0.0529763,
        0.0520767,
        0.0515421,
        0.0524169,
        0.0523637,
        0.0534655,
        0.0551781,
        0.0586015,
        0.0595552,
        0.0630408,
        0.0684943,
        0.0763639,
        0.0871029,
        0.102925,
        0.126652,
        0.16485,
        0.152874,
        0.121169,
        0.108016,
        0.0979047,
        0.0735069,
        0.0656268,
        0.0594562,
        0.0550725,
        0.0520665,
        0.0491336,
        0.0475344,
        0.0463857,
        0.0450113,
        0.0437012,
        0.0427586,
        0.0419647,
        0.0429362,
        0.0433279,
        0.04175,
        0.0414114,
        0.0415891,
        0.0419256,
        0.0423232,
        0.0425819,
        0.0431145,
        0.0438531,
        0.0453611,
        0.045589,
        0.0463449,
        0.0467475,
        0.046564,
        0.0465304,
        0.0469462,
        0.0472969,
        0.0476586,
        0.0486968,
        0.0498893,
        0.050654,
        0.051926,
        0.054381,
        0.0559851,
        0.0580245,
        0.0612767,
        0.0645887,
        0.0693092,
        0.0757871,
        0.0823659,
        0.0925226,
        0.100389,
        0.109959,
        0.120135,
        0.130801,
        0.146518,
        null,
        0.11423,
        0.103644,
        0.0984293,
        0.0983661,
        0.100786,
        0.108785,
        0.122698,
        0.154728,
        0.183717,
        0.198859,
        0.13846,
        0.103545,
        0.0819657,
        0.0686194,
        0.0582197,
        0.0510762,
        0.046554,
        0.0428498,
        0.0401988,
        0.0382167,
        0.0366154,
        0.0351453,
        0.0378685,
        0.0369821,
        0.0324584,
        0.0318255,
        0.0314914,
        0.0311219,
        0.0312476,
        0.0320305,
        0.0330803,
        0.0341173,
        0.0349609,
        0.0350348,
        0.0342625,
        0.0333055,
        0.0317339,
        0.0302516,
        0.029362,
        0.0286179,
        0.028065,
        0.0276382,
        0.0276443,
        0.0276466,
        0.0276115,
        0.027447,
        0.0274412,
        0.0275389,
        0.0276887,
        0.02786,
        0.0280204,
        0.0282478,
        0.0284861,
        0.0288504,
        0.0292553,
        0.0295518,
        0.0299556,
        0.0305941,
        0.0312247,
        0.0318976,
        0.0327104,
        0.0335932,
        0.0346892,
        0.0358619,
        0.0373843,
        0.0390664,
        0.0412035,
        0.0441201,
        0.0474629,
        0.0517188,
        0.0561029,
        0.059691,
        0.0632856,
        0.0677858,
        0.0727048,
        0.0786532,
        0.0907324,
        0.107694,
        0.132829,
        0.174091,
        0.145697,
        0.109667,
        0.0877493,
        0.0726049,
        0.0624427,
        0.0552332,
        0.0507728,
        0.0483203,
        0.0464402,
        0.0448891,
        0.0443253,
        0.0436682,
        0.0416118,
        0.0390435,
        0.0366002,
        0.0348757,
        0.0337126,
        0.0330326,
        0.0325394,
        0.0322557,
        0.0324022,
        0.0326771,
        0.0324486,
        0.0318306,
        0.0314165,
        0.0310755,
        0.0310827,
        0.0313273,
        0.0318544,
        0.0325003,
        0.033025,
        0.0329726,
        0.0319483,
        0.0305334,
        0.0289796,
        0.0276252,
        0.0267195,
        0.0260741,
        0.025555,
        0.0251571,
        0.0250371,
        0.0249736,
        0.0250184,
        0.0251411,
        0.0251818,
        0.0253918,
        0.0257143,
        0.0258129,
        0.0260073,
        0.0261468,
        0.0261805,
        0.0263359,
        0.026602,
        0.0268303,
        0.0271255,
        0.027675,
        0.0279632,
        0.0283395,
        0.0287263,
        0.0291351,
        0.0297406,
        0.0306055,
        0.0312792,
        0.0320067,
        0.0329776,
        0.0340788,
        0.0354259,
        0.0372246,
        0.0394003,
        0.0420014,
        0.0460657,
        0.0496276,
        0.0531236,
        0.0597803,
        0.0684738,
        0.0799091,
        0.0951077,
        0.117993,
        0.154154,
        0.201583,
        0.152205,
        0.125696,
        0.107643,
        0.095015,
        0.0860882,
        0.0759508,
        0.0662261,
        0.0573332,
        0.0498955,
        0.044619,
        0.0408839,
        0.0378782,
        0.0353679,
        0.033407,
        0.0320998,
        0.0310548,
        0.0301262,
        0.0293597,
        0.0285415,
        0.0279517,
        0.0275745,
        0.0272071,
        0.027122,
        0.0269316,
        0.026801,
        0.0265566,
        0.026048,
        0.0254027,
        0.0247762,
        0.0242435,
        0.0236676,
        0.0232969,
        0.0230371,
        0.022915,
        0.0228335,
        0.0226782,
        0.0225654,
        0.0225738,
        0.0224884,
        0.0223269,
        0.0220039,
        0.0218862,
        0.0218168,
        0.0216521,
        0.021518,
        0.0213272,
        0.0212595,
        0.0212377,
        0.0212638,
        0.0213971,
        0.021372,
        0.021443,
        0.0216009,
        0.0217681,
        0.0239556,
        0.0237379,
        0.0224874,
        0.0226489,
        0.022896,
        0.0231357,
        0.0234888,
        0.0238641,
        0.024252,
        0.0246131,
        0.025051,
        0.0252947,
        0.0259083,
        0.0265757,
        0.0270842,
        0.0276075,
        0.0282276,
        0.0288978,
        0.0297315,
        0.0313282,
        0.0325753,
        0.0333124,
        0.035061,
        0.0372388,
        0.0407593,
        0.0463383,
        0.0501626,
        0.0524385,
        0.0546165,
        0.057094,
        0.0613137,
        0.0671076,
        0.0753646,
        0.08873,
        0.108859,
        0.139349,
        0.156472,
        0.116851,
        0.0897747,
        0.0739627,
        0.0632498,
        0.0551615,
        0.048855,
        0.0446767,
        0.0410545,
        0.0383309,
        0.0362173,
        0.0342694,
        0.0325846,
        0.031374,
        0.0307462,
        0.0302678,
        0.0299273,
        0.0296339,
        0.0292321,
        0.0286986,
        0.0280966,
        0.0274854,
        0.0268322,
        0.0260962,
        0.0254614,
        0.0247335,
        0.0240129,
        0.0235276,
        0.0231217,
        0.0229287,
        0.0254274,
        0.0241729,
        0.0220143,
        0.0218147,
        0.0227416,
        0.0230874,
        0.0215156,
        0.0211884,
        0.0210649,
        0.0210233,
        0.0210372,
        0.021052,
        0.0213229,
        0.0214796,
        0.0218044,
        0.0224218,
        0.0232668,
        0.0242067,
        0.0252228,
        0.0257094,
        0.0253097,
        0.0244422,
        0.0233315,
        0.0224096,
        0.0219197,
        0.0216333,
        0.0214651,
        0.0214841,
        0.0214971,
        0.0215374,
        0.0215535,
        0.0217826,
        0.0220188,
        0.0221196,
        0.0223014,
        0.0226398,
        0.0230058,
        0.0232938,
        0.0237534,
        0.024167,
        0.0244827,
        0.0249129,
        0.0255127,
        0.0261911,
        0.0269313,
        0.0281021,
        0.0292642,
        0.0308263,
        0.0325725,
        0.0348355,
        0.0376392,
        0.0416004,
        0.0469704,
        0.0532621,
        0.06021,
        0.0680315,
        0.0791779,
        0.0996428,
        0.1279,
        0.161516,
        0.17861,
        0.128698,
        0.0984313,
        0.0800672,
        0.0682827,
        0.0601592,
        0.0533397,
        0.0479044,
        0.0520503,
        0.0502186,
        0.042539,
        0.0424675,
        0.0427564,
        0.0432347,
        0.0428181,
        0.041821,
        0.0400732,
        0.0384666,
        0.0379298,
        0.0383441,
        0.0402096,
        0.0434575,
        0.0487385,
        0.0574067,
        0.0724592,
        0.100203,
        0.150241,
        0.197905,
        0.121984,
        0.0827339,
        0.0617632,
        0.0494525,
        0.0443659,
        0.0388247,
        0.0328694,
        0.0301491,
        0.028192,
        0.0268609,
        0.0258113,
        0.0248599,
        0.0242696,
        0.0237926,
        0.0233702,
        0.0231484,
        0.0229824,
        0.0227886,
        0.0227167,
        0.0226594,
        0.0232445,
        0.0234325,
        0.0223181,
        0.0225084,
        0.0225506,
        0.0225941,
        0.0226254,
        0.0226185,
        0.0227906,
        0.0231199,
        0.0234069,
        0.0242715,
        0.0252179,
        0.0264604,
        0.0280559,
        0.0291063,
        0.0293814,
        0.0295283,
        0.0287496,
        0.0284686,
        0.028947,
        0.0299293,
        0.0314782,
        0.033483,
        0.0362475,
        0.0426702,
        0.0499031,
        0.0553714,
        0.0692895,
        0.0892207,
        0.116629,
        0.140935,
        0.155304,
        0.16291,
        0.168061,
        0.164177,
        0.145963,
        0.121002,
        0.104831,
        0.0907161,
        0.079669,
        0.0734173,
        0.0687753,
        0.0655324,
        0.0644307,
        0.0656726,
        0.069612,
        0.0768041,
        0.0872262,
        0.104618,
        0.135858,
        0.156839,
        0.108807,
        0.0821659,
        0.0663042,
        0.0554671,
        0.0474118,
        0.0418308,
        0.0373664,
        0.0342727,
        0.031923,
        0.0301113,
        0.0290674,
        0.0278059,
        0.0266322,
        0.0256433,
        0.0250118,
        0.0244352,
        0.0242234,
        0.0236314,
        0.0229859,
        0.02257,
        0.0222124,
        0.0219372,
        0.0217067,
        0.0215099,
        0.0214188,
        0.021384,
        0.0211368,
        0.0211404,
        0.0210821,
        0.0210235,
        0.0209994,
        0.0208735,
        0.0206309,
        0.0204463,
        0.0199705,
        0.0197363,
        0.0196651,
        0.0196016,
        0.0195594,
        0.0195316,
        0.0196086,
        0.0198752,
        0.0201187,
        0.0206075,
        0.0212012,
        0.0218747,
        0.0228223,
        0.023913,
        0.0249038,
        0.0254629,
        0.0253622,
        0.0250713,
        0.0247764,
        0.0251648,
        0.0260563,
        0.0269885,
        0.0273498,
        0.0272099,
        0.0306348,
        0.0296613,
        0.0249821,
        0.0248941,
        0.0251908,
        0.0260775,
        0.0271068,
        0.0283151,
        0.030326,
        0.0332451,
        0.0410531,
        0.0470923,
        0.0504367,
        0.0622438,
        0.0927681,
        0.116251,
        0.115984,
        0.123378,
        0.125589,
        0.124036,
        0.119247,
        0.104461,
        0.082657,
        0.0656132,
        0.0541134,
        0.045529,
        0.0409374,
        0.0381256,
        0.0342647,
        0.0363728,
        0.0375434,
        0.0304649,
        0.0297646,
        0.0296317,
        0.0300997,
        0.0306651,
        0.0314655,
        0.0325376,
        0.0342524,
        0.0366346,
        0.0395364,
        0.0431121,
        0.0487825,
        0.0568005,
        0.0683756,
        0.0854336,
        0.111912,
        0.157908,
        0.139215,
        0.102032,
        0.0778953,
        0.062427,
        0.0524284,
        0.0454776,
        0.0408059,
        0.0370245,
        0.034445,
        0.0322336,
        0.0306251,
        0.029227,
        0.0279246,
        0.0269157,
        0.0260973,
        0.0256607,
        0.0253376,
        0.0257179,
        0.0265769,
        0.02661,
        0.027337,
        0.027723,
        0.0287194,
        0.0268127,
        0.024961,
        0.0240129,
        0.0234851,
        0.0233595,
        0.0235565,
        0.0240724,
        0.0248329,
        0.0256135,
        0.0288606,
        0.0271157,
        0.02362,
        0.0225279,
        0.0214497,
        0.0208798,
        0.0224664,
        0.0227466,
        0.0200486,
        0.020076,
        0.0200764,
        0.0200637,
        0.0199798,
        0.0221455,
        0.0225051,
        0.0205556,
        0.0206327,
        0.0211786,
        0.0215971,
        0.0218631,
        0.0240761,
        0.0237781,
        0.0231212,
        0.0238858,
        0.0256774,
        0.0282776,
        0.0297866,
        0.0305631,
        0.0337999,
        0.0381544,
        0.0437728,
        0.0517642,
        0.0672029,
        0.0829728,
        0.0900636,
        0.0992065,
        0.100996,
        0.0993782,
        0.0967186,
        0.0944785,
        0.0824407,
        0.0647517,
        0.0528051,
        0.0479844,
        0.0417409,
        0.0338043,
        0.0305759,
        0.0291521,
        0.0274419,
        0.0262964,
        0.0256513,
        0.0250164,
        0.0243317,
        0.0240954,
        0.0240024,
        0.0239094,
        0.0238511,
        0.0239597,
        0.0242748,
        0.0245921,
        0.0249879,
        0.0256939,
        0.026299,
        0.027252,
        0.0283884,
        0.0299055,
        0.0317596,
        0.0340883,
        0.0372439,
        0.04143,
        0.0464052,
        0.0531936,
        0.060749,
        0.0689779,
        0.0800763,
        0.0978146,
        0.127888,
        0.180882,
        0.201112,
        0.136935,
        0.0998459,
        0.079489,
        0.0659241,
        0.0574397,
        0.0520665,
        0.0485836,
        0.0471468,
        0.0483685,
        0.051836,
        0.0592226,
        0.0724634,
        0.092803,
        0.122139,
        0.150096,
        0.160726,
        0.136229,
        0.100102,
        0.0737746,
        0.0570384,
        0.0469231,
        0.0396062,
        0.0349712,
        0.0321422,
        0.0300783,
        0.0286939,
        0.0279356,
        0.0272521,
        0.0270047,
        0.0281222,
        0.0287953,
        0.0310239,
        0.030836,
        0.0297918,
        0.031483,
        0.033824,
        0.0372578,
        0.0417189,
        0.0490408,
        0.0599379,
        0.0754805,
        0.102764,
        0.152462,
        0.157018,
        0.114557,
        0.100858,
        0.0972911,
        0.0844076,
        0.0791878,
        0.0857032,
        0.0945283,
        0.102505,
        0.10522,
        0.105207,
        0.104156,
        0.101372,
        0.0983114,
        0.091583,
        0.0817525,
        0.0668186,
        0.0560521,
        0.0500334,
        0.0451339,
        0.0408074,
        0.0363561,
        0.0328515,
        0.0344081,
        0.032544,
        0.0275013,
        0.0263953,
        0.0253058,
        0.0245206,
        0.0239114,
        0.0242446,
        0.023046,
        0.0223642,
        0.022182,
        0.0221115,
        0.022101,
        0.022212,
        0.0223528,
        0.0225039,
        0.0225659,
        0.0228511,
        0.0231267,
        0.023258,
        0.023339,
        0.0232624,
        0.023298,
        0.0232328,
        0.0234011,
        0.0237578,
        0.0243513,
        0.0250456,
        0.0259246,
        0.0367461,
        0.0368199,
        0.0301713,
        0.0326765,
        0.0355783,
        0.0403727,
        0.046946,
        0.0543394,
        0.0661999,
        0.0846684,
        0.116386,
        0.177461,
        0.116918,
        0.101947,
        0.0792716,
        0.0546808,
        0.045944,
        0.0398063,
        0.0366465,
        0.0338168,
        0.0339186,
        0.031552,
        0.0270008,
        0.0263792,
        0.0255666,
        0.024847,
        0.0243227,
        0.024141,
        0.0242413,
        0.0280605,
        0.028313,
        0.0244087,
        0.0237458,
        0.0231752,
        0.0228463,
        0.0225253,
        0.0266286,
        0.0297649,
        0.0228342,
        0.0224385,
        0.0228478,
        0.0235465,
        0.0244881,
        0.0253993,
        0.0258712,
        0.0314642,
        0.0314408,
        0.0265149,
        0.0256412,
        0.0254399,
        0.0280541,
        0.0289979,
        0.026172,
        0.0314249,
        0.0339496,
        0.0329093,
        0.0372213,
        0.0445507,
        0.0524779,
        0.0603498,
        0.0687376,
        0.072147,
        0.072491,
        0.0723008,
        0.0729787,
        0.0721268,
        0.0671975,
        0.061781,
        0.0509406,
        0.0415798,
        0.0364595,
        0.0321986,
        0.0290486,
        0.0269696,
        0.0252955,
        0.0243863,
        0.0235847,
        0.0230685,
        0.0228066,
        0.0228195,
        0.0230784,
        0.0263873,
        0.0275049,
        0.0247115,
        0.0253996,
        0.0266096,
        0.0281071,
        0.0308509,
        0.0319838,
        0.0316634,
        0.0305421,
        0.0299383,
        0.0291292,
        0.0285937,
        0.02796,
        0.02759,
        0.027092,
        0.026287,
        0.0252919,
        0.0244756,
        0.0239055,
        0.0234548,
        0.0234692,
        0.0234979,
        0.0234759,
        0.0234772,
        0.0238245,
        0.0248026,
        0.025578,
        0.0264492,
        0.0274394,
        0.0276507,
        0.0274615,
        0.0270813,
        0.0268659,
        0.027091,
        0.0278074,
        0.0291612,
        0.0308005,
        0.0329512,
        0.0358412,
        0.0443856,
        0.05126,
        0.05546,
        0.0672867,
        0.0880352,
        0.122717,
        0.179884,
        0.181781,
        0.121953,
        0.0874902,
        0.067363,
        0.0549113,
        0.0465396,
        0.0408048,
        0.0372782,
        0.0339735,
        0.0314393,
        0.0293934,
        0.028245,
        0.0269223,
        0.0260752,
        0.0250153,
        0.0243989,
        0.0238468,
        0.0234128,
        0.0229791,
        0.0224071,
        0.0221138,
        0.0217942,
        0.0216216,
        0.0215794,
        0.0216253,
        0.02173,
        0.0218525,
        0.0241675,
        0.0235782,
        0.0227649,
        0.0236364,
        0.0276249,
        0.0276351,
        0.0273549,
        0.0297486,
        0.0328703,
        0.0372933,
        0.0425684,
        0.0589897,
        0.0649399,
        0.0636369,
        0.0643295,
        0.0719537,
        0.071311,
        0.0631805,
        0.0631169,
        0.0607301,
        0.0548029,
        0.0461111,
        0.0395887,
        0.0346236,
        0.0310303,
        0.0280445,
        0.0260666,
        0.024431,
        0.0231746,
        0.0219773,
        0.0213433,
        0.0206389,
        0.0199431,
        0.0200306,
        0.0197047,
        0.0189472,
        0.0187351,
        0.0185487,
        0.0184476,
        0.0183867,
        0.0184516,
        0.0187345,
        0.0188516,
        0.0185183,
        0.018675,
        0.0205153,
        0.0199741,
        0.0214482,
        0.022036,
        0.0204244,
        0.0210397,
        0.0216556,
        0.0249056,
        0.0255896,
        0.0263448,
        0.0279479,
        0.0282471,
        0.0275693,
        0.025968,
        0.0243203,
        0.0225713,
        0.0215174,
        0.0209965,
        0.0205261,
        0.020151,
        0.0199598,
        0.0217638,
        0.021754,
        0.0198267,
        0.0200022,
        0.0206022,
        0.0209164,
        0.0235585,
        0.0242704,
        0.0224974,
        0.0231179,
        0.0237256,
        0.0241815,
        0.0245468,
        0.0251037,
        0.0256063,
        0.0265963,
        0.0276936,
        0.0293828,
        0.0315629,
        0.034397,
        0.0383697,
        0.0453779,
        0.0542187,
        0.0674511,
        0.089111,
        0.116665,
        0.168079,
        0.153229,
        0.104466,
        0.0774943,
        0.0612349,
        0.0500473,
        0.0431232,
        0.038078,
        0.0341955,
        0.0314554,
        0.0295593,
        0.0281812,
        0.027096,
        0.0263903,
        0.0259425,
        0.0254913,
        0.0251214,
        0.0251538,
        0.0250517,
        0.0250832,
        0.0253047,
        0.0257113,
        0.0262719,
        0.0270393,
        0.0283366,
        0.0301548,
        0.0324233,
        0.0353706,
        0.0397113,
        0.0457095,
        0.0524939,
        0.0592031,
        0.0632832,
        0.0645549,
        0.063153,
        0.0625615,
        0.0635345,
        0.063713,
        0.0617271,
        0.0562447,
        0.0493183,
        0.0431881,
        0.0385019,
        0.0354189,
        0.0334379,
        0.0325453,
        0.0324327,
        0.0336954,
        0.0349711,
        0.0359196,
        0.0370317,
        0.0383123,
        0.0395397,
        0.0438302,
        0.049635,
        0.0594341,
        0.0735382,
        0.0986975,
        0.146661,
        0.164434,
        0.109655,
        0.0779898,
        0.0603953,
        0.0490567,
        0.0419176,
        0.0370598,
        0.0337296,
        0.0307625,
        0.0288,
        0.0275625,
        0.0263347,
        0.0256097,
        0.0251531,
        0.0248478,
        0.0245938,
        0.0243187,
        0.0244915,
        0.0244826,
        0.0244742,
        0.0242612,
        0.0240434,
        0.023697,
        0.0232148,
        0.0225709,
        0.0223451,
        0.0217956,
        0.0214193,
        0.0210515,
        0.0207427,
        0.0206062,
        0.0208157,
        0.0204382,
        0.0204295,
        0.0201857,
        0.0199685,
        0.0199561,
        0.0201552,
        0.0203604,
        0.0205428,
        0.021456,
        0.0221901,
        0.0218746,
        0.0221237,
        0.0227965,
        0.0237321,
        0.0248609,
        0.0260997,
        0.0277362,
        0.0301152,
        0.0361885,
        0.0406826,
        0.0423687,
        0.0498779,
        0.0610649,
        0.0797827,
        0.110717,
        0.159208,
        0.159888,
        0.111846,
        0.0839848,
        0.0666556,
        0.0555032,
        0.0534599,
        0.0498687,
        0.0423293,
        0.0422195,
        0.0445094,
        0.0450835,
        0.04083,
        0.0383221,
        0.0384016,
        0.0376012,
        0.0383325,
        0.039555,
        0.0409651,
        0.0436335,
        0.0479672,
        0.0525449,
        0.0565888,
        0.0582888,
        0.0574867,
        0.0552695,
        0.0549099,
        0.0550965,
        0.0557849,
        0.0541019,
        0.048707,
        0.0433663,
        0.0380004,
        0.0335902,
        0.0298293,
        0.0274013,
        0.0256304,
        0.0243589,
        0.0235114,
        0.022725,
        0.0222729,
        0.0220071,
        0.0219138,
        0.0242096,
        0.024495,
        0.0226242,
        0.0228318,
        0.0228376,
        0.0226304,
        0.0222007,
        0.0213547,
        0.0204795,
        0.0199876,
        0.0216318,
        0.0215926,
        0.0193284,
        0.0214438,
        0.0217572,
        0.0196443,
        0.0194797,
        0.019649,
        0.0199483,
        0.0201827,
        0.0200983,
        0.0207395,
        0.0210026,
        0.020812,
        0.0205852,
        0.0203823,
        0.020021,
        0.0197255,
        0.0194601,
        0.0191641,
        0.0220339,
        0.0218106,
        0.0187168,
        0.0185443,
        0.0185691,
        0.018688,
        0.0185761,
        0.0185239,
        0.0184197,
        0.0185949,
        0.0186831,
        0.020641,
        0.0204965,
        0.0182969,
        0.0182534,
        0.0183371,
        0.0183155,
        0.0184256,
        0.0184863,
        0.0183989,
        0.0185254,
        0.0187548,
        0.0187967,
        0.0189889,
        0.0192113,
        0.0193153,
        0.0196672,
        0.0202589,
        0.0206014,
        0.0214368,
        0.0222551,
        0.023014,
        0.0234234,
        0.0237711,
        0.0237417,
        0.023591,
        0.0232617,
        0.0234035,
        0.0237493,
        0.0240163,
        0.024476,
        0.0253246,
        0.0263821,
        0.0280022,
        0.0295613,
        0.0318612,
        0.0347226,
        0.0383614,
        0.043017,
        0.0494479,
        0.059475,
        0.0773179,
        0.100113,
        0.129019,
        0.164637,
        0.11882,
        0.0936464,
        0.0792891,
        0.0663893,
        0.0605571,
        0.0581433,
        0.0577154,
        0.0603719,
        0.0655005,
        0.0703575,
        0.0756447,
        0.0793524,
        0.0802297,
        0.0813992,
        0.0849654,
        0.0915057,
        0.101301,
        0.110329,
        0.116577,
        0.114541,
        0.106085,
        0.0927306,
        0.0808418,
        0.0686827,
        0.0604838,
        0.0535766,
        0.0483445,
        0.0438249,
        0.0394469,
        0.0354654,
        0.032361,
        0.0299739,
        0.0282844,
        0.0270371,
        0.0260981,
        0.0250131,
        0.0244965,
        0.0239195,
        0.0234997,
        0.0234071,
        0.0236468,
        0.0238576,
        0.0242067,
        0.0245777,
        0.0245363,
        0.0241351,
        0.0233958,
        0.0228799,
        0.0221311,
        0.0217093,
        0.0213836,
        0.0209356,
        0.0254714,
        0.0236496,
        0.0201586,
        0.0203018,
        0.020701,
        0.0201476,
        0.0202162,
        0.0205303,
        0.0235561,
        0.0231113,
        0.0207763,
        0.0211116,
        0.0217854,
        0.0221073,
        0.0227135,
        0.0227962,
        0.0228564,
        0.0223236,
        0.0215503,
        0.0212645,
        0.0209751,
        0.0204191,
        0.020185,
        0.0200557,
        0.0200793,
        0.0199549,
        0.0199398,
        0.0198752,
        0.0208475,
        0.020951,
        0.019931,
        0.0200124,
        0.0200439,
        0.0200315,
        0.0201762,
        0.0204576,
        0.0212755,
        0.0205629,
        0.020217,
        0.0199257,
        0.019987,
        0.0201674,
        0.0201873,
        0.0202466,
        0.0203897,
        0.0212865,
        0.0216963,
        0.0212258,
        0.021433,
        0.021957,
        0.0216597,
        0.0217568,
        0.02183,
        0.0216016,
        0.0215426,
        0.0216723,
        0.0217442,
        0.0219988,
        0.0224258,
        0.022874,
        0.0234818,
        0.0242681,
        0.024915,
        0.0259049,
        0.0268789,
        0.0283182,
        0.0299589,
        0.0321176,
        0.0349222,
        0.0388005,
        0.043508,
        0.0502602,
        0.0598283,
        0.074702,
        0.0981981,
        0.134968,
        0.184063,
        0.151648,
        0.12204,
        0.10065,
        0.0883567,
        0.0819294,
        0.0783537,
        0.0761125,
        0.0725973,
        0.0658269,
        0.0564968,
        0.0482996,
        0.0423797,
        0.0382837,
        0.0348226,
        0.032441,
        0.0307777,
        0.029491,
        0.0286734,
        0.027755,
        0.0274639,
        0.0270758,
        0.0270185,
        0.0269252,
        0.0263909,
        0.0258094,
        0.0252049,
        0.0249213,
        0.0246802,
        0.0244184,
        0.0242174,
        0.0239686,
        0.0236326,
        0.023538,
        0.0229617,
        0.0223797,
        0.0222633,
        0.0220179,
        0.0219207,
        0.0218728,
        0.0218713,
        0.0218618,
        0.0221139,
        0.0219692,
        0.0222588,
        0.022535,
        0.0227472,
        0.0228238,
        0.0230881,
        0.023345,
        0.0238564,
        0.0242631,
        0.0245817,
        0.0249826,
        0.025638,
        0.0265655,
        0.0272543,
        0.0281598,
        0.0293658,
        0.0310938,
        0.033063,
        0.0355319,
        0.0393127,
        0.0435222,
        0.0490867,
        0.0577217,
        0.0693032,
        0.0886955,
        0.116902,
        0.168294,
        0.184502,
        0.122547,
        0.0907685,
        0.0722787,
        0.0595768,
        0.050019,
        0.0445131,
        0.0398378,
        0.036578,
        0.0339981,
        0.0321324,
        0.030619,
        0.0307184,
        0.0293188,
        0.0275204,
        0.0266181,
        0.0262308,
        0.025637,
        0.0253507,
        0.0264335,
        0.0277094,
        0.0251717,
        0.0252463,
        0.0252301,
        0.0252414,
        0.0252743,
        0.0253924,
        0.0253429,
        0.0255942,
        0.0254303,
        0.028284,
        0.0292525,
        0.0268202,
        0.0265717,
        0.0272874,
        0.0280994,
        0.0291394,
        0.0306596,
        0.0393425,
        0.0414934,
        0.0377257,
        0.0413125,
        0.0448193,
        0.0505538,
        0.0591682,
        0.0677218,
        0.0770111,
        0.0852192,
        0.0929498,
        0.103501,
        0.117511,
        0.140753,
        0.18198,
        0.133147,
        0.101359,
        0.07939,
        0.064673,
        0.0540544,
        0.0469734,
        0.0418362,
        0.0378902,
        0.0347577,
        0.0324413,
        0.0306703,
        0.0288792,
        0.0276066,
        0.0267378,
        0.0257747,
        0.0250475,
        0.0244615,
        0.024183,
        0.0244765,
        0.0242019,
        0.0229573,
        0.0228305,
        0.0225546,
        0.0224318,
        0.0222684,
        0.0222686,
        0.0220445,
        0.0220442,
        0.0219583,
        0.0219131,
        0.021908,
        0.0220555,
        0.0217736,
        0.0218311,
        0.0219228,
        0.0220418,
        0.0221315,
        0.0224903,
        0.0227816,
        0.0229288,
        0.023016,
        0.0233823,
        0.0235031,
        0.0237002,
        0.0237228,
        0.0234763,
        0.0235467,
        0.0234636,
        0.0230268,
        0.0231663,
        0.0228261,
        0.0224579,
        0.0223633,
        0.0223272,
        0.0222739,
        0.0220983,
        0.0221669,
        0.0224034,
        0.0224661,
        0.0224867,
        0.0227259,
        0.0227494,
        0.0227132,
        0.0224157,
        0.0221012,
        0.0221469,
        0.0226669,
        0.021628,
        0.0212011,
        0.0212426,
        0.0210955,
        0.0210806,
        0.0209872,
        0.0206329,
        0.0206285,
        0.0205602,
        0.0205284,
        0.0205473,
        0.020659,
        0.0207403,
        0.0206449,
        0.0207287,
        0.0206296,
        0.0207149,
        0.0207167,
        0.0207477,
        0.0208399,
        0.0210556,
        0.0211367,
        0.0216483,
        0.0217307,
        0.0219669,
        0.022074,
        0.0224249,
        0.0225529,
        0.0225597,
        0.0224257,
        0.0228279,
        0.0233697,
        0.0235392,
        0.0240778,
        0.0254259,
        0.0263179,
        0.0276598,
        0.0294814,
        0.0299852,
        0.0305667,
        0.0312283,
        0.031279,
        0.0317751,
        0.0331752,
        0.0356373,
        0.038637,
        0.0429184,
        0.0486121,
        0.049669,
        0.0526303,
        0.0529515,
        0.0516848,
        0.0503559,
        0.0512067,
        0.0522538,
        0.0534917,
        0.0551841,
        0.0582676,
        0.0578703,
        0.056717,
        0.056509,
        0.0577111,
        0.0623393,
        0.0701317,
        0.0819511,
        0.0965999,
        0.124179,
        0.125468,
        0.11723,
        0.0983028,
        0.0772417,
        0.0613415,
        0.0616727,
        0.0527344,
        0.0394534,
        0.035858,
        0.0327859,
        0.0310321,
        0.0295606,
        0.0285636,
        0.0270287,
        0.0263759,
        0.0256676,
        0.0249256,
        0.0244138,
        0.0241587,
        0.0239833,
        0.02391,
        0.0235629,
        0.0236283,
        0.0244359,
        0.0235937,
        0.0235383,
        0.0236928,
        0.0238673,
        0.0237774,
        0.0237221,
        0.0234346,
        0.0227849,
        0.0227058,
        0.022766,
        0.0225318,
        0.0226509,
        0.0224625,
        0.0226615,
        0.0227811,
        0.0229624,
        0.0231455,
        0.0232388,
        0.0238563,
        0.0237415,
        0.0237744,
        0.0235469,
        0.0234059,
        0.023164,
        0.0229982,
        0.0228595,
        0.0230819,
        0.0226571,
        0.0227616,
        0.0225774,
        0.0226968,
        0.0224665,
        0.0222745,
        0.0222224,
        0.0223353,
        0.0224599,
        0.022904,
        0.0225207,
        0.0220217,
        0.0219682,
        0.022179,
        0.0221413,
        0.022095,
        0.0221885,
        0.0220775,
        0.0218596,
        0.0220836,
        0.0219609,
        0.0218294,
        0.0218184,
        0.0219363,
        0.0221283,
        0.0220694,
        0.0221598,
        0.0221829,
        0.0224661,
        0.0225324,
        0.0228905,
        0.0230929,
        0.0238068,
        0.0242304,
        0.0249277,
        0.0251759,
        0.0260198,
        0.0265989,
        0.0276317,
        0.0278055,
        0.0273199,
        0.0273821,
        0.0271116,
        0.0269853,
        0.0273401,
        0.0275519,
        0.028509,
        0.0289979,
        0.0296744,
        0.0302874,
        0.0308729,
        0.0314726,
        0.0320685,
        0.0331531,
        0.0345956,
        0.0366321,
        0.0390738,
        0.0412556,
        0.0443852,
        0.0457219,
        0.0462398,
        0.0449429,
        0.0436725,
        0.0434848,
        0.0434714,
        0.0448698,
        0.0464437,
        0.0464932,
        0.0453447,
        0.0434819,
        0.0408284,
        0.0387518,
        0.036588,
        0.0348839,
        0.0342682,
        0.0333522,
        0.0331359,
        0.0332803,
        0.0340927,
        0.0361037,
        0.0398046,
        0.0399768,
        0.0426511,
        0.0461192,
        0.0523841,
        0.0687706,
        0.0819318,
        0.0879431,
        0.100755,
        0.0971467,
        0.0869163,
        0.0744814,
        0.0623239,
        0.0528,
        0.0463511,
        0.0420087,
        0.0384048,
        0.0358677,
        0.0336388,
        0.0320051,
        0.0304549,
        0.0298559,
        0.0293866,
        0.0287622,
        0.0282829,
        0.0284916,
        0.0284183,
        0.0290612,
        0.0287157,
        0.0299313,
        0.0297376,
        0.0294869,
        0.0283365,
        0.027685,
        0.0274625,
        0.027303,
        0.0271668,
        0.0268755,
        0.0269536,
        0.0265232,
        0.0267979,
        0.026782,
        0.0270119,
        0.0269864,
        0.0270827,
        0.0272725,
        0.0273819,
        0.027178,
        0.0267657,
        0.0271612,
        0.0271693,
        0.0268658,
        0.0274348,
        0.0278021,
        0.0305494,
        0.0284191,
        0.0275418,
        0.0276578,
        0.0278208,
        0.0283982,
        0.0303653,
        0.0283471,
        0.0285335,
        0.0290804,
        0.0290316,
        0.0293663,
        0.0296993,
        0.0298377,
        0.0306123,
        0.0306224,
        0.0316168,
        0.0326484,
        0.033387,
        0.0356771,
        0.0387009,
        0.0372986,
        null,
        0.0235211,
        0.0242467,
        0.0252113,
        0.0266096,
        0.0283225,
        0.0301477,
        0.032218,
        0.0339894,
        0.0353241,
        0.035905,
        0.0358292,
        0.0352568,
        0.0350019,
        0.035455,
        0.0359799,
        0.0362128,
        0.0359428,
        0.0346826,
        0.032612,
        0.030391,
        0.0283947,
        0.0267354,
        0.0253017,
        0.0243783,
        0.0237967,
        0.0233584,
        0.0229491,
        0.0226143,
        0.0221908,
        0.021824,
        0.0216561,
        0.0216011,
        0.0217173,
        0.0218582,
        0.0218567,
        0.0218152,
        0.0216917,
        0.0215937,
        0.0215702,
        0.0216291,
        0.0240752,
        0.0246067,
        0.0245132,
        0.0230481,
        0.0238477,
        0.0252137,
        0.0297368,
        0.0326887,
        0.0324405,
        0.0362872,
        0.0415941,
        0.0468964,
        0.0497614,
        0.0484535,
        0.0438768,
        0.0407369,
        0.0354805,
        0.0301741,
        0.0276355,
        0.0257126,
        0.0244704,
        0.0234822,
        0.0227909,
        0.0223197,
        0.0218742,
        0.021675,
        0.0215475,
        0.021279,
        0.0211484,
        0.0211678,
        0.021313,
        0.0215929,
        0.0212106,
        0.021287,
        0.0215788,
        0.0218954,
        0.0223248,
        0.0228087,
        0.0231406,
        0.0233549,
        0.023288,
        0.0231305,
        0.0229547,
        0.0224975,
        0.0220409,
        0.024735,
        0.0242019,
        0.0207542,
        0.0204941,
        0.0203854,
        0.0204715,
        0.0207498,
        0.0209492,
        0.0210145,
        0.0208858,
        0.0221027,
        0.0214572,
        0.0194864,
        0.019617,
        0.0193949,
        0.0188906,
        0.0188603,
        0.0187751,
        0.0186756,
        0.0186424,
        0.0186946,
        0.0188,
        0.0189247,
        0.0190681,
        0.0192941,
        0.0196189,
        0.0198606,
        0.0201954,
        0.0206675,
        0.0212442,
        0.0219966,
        0.0232104,
        0.0241632,
        0.0252657,
        0.0267422,
        0.0280246,
        0.0286649,
        0.0284367,
        0.0279127,
        0.027466,
        0.0274137,
        0.027829,
        0.0281829,
        0.0283099,
        0.0282286,
        0.0275222,
        0.0259717,
        0.0245088,
        0.0235753,
        0.0227899,
        0.0220222,
        0.0215864,
        0.021113,
        0.0206606,
        0.0202664,
        0.0202296,
        0.0199143,
        0.0193144,
        0.0189349,
        0.0188809,
        0.0187371,
        0.0185846,
        0.0184823,
        0.0185481,
        0.0185365,
        0.0185503,
        0.0186007,
        0.018516,
        0.018411,
        0.0183969,
        0.0184195,
        0.0184516,
        0.0185558,
        0.0186418,
        0.0187772,
        0.0189452,
        0.0191275,
        0.0194403,
        0.0200069,
        0.0204507,
        0.0208531,
        0.0216613,
        0.0227873,
        0.024157,
        0.025688,
        0.0281289,
        0.031296,
        0.0352555,
        0.039085,
        0.041827,
        0.0418698,
        0.0391022,
        0.0353815,
        0.0322521,
        0.0299194,
        0.0285078,
        0.0287281,
        0.0287429,
        0.0284355,
        0.0285112,
        0.027888,
        0.0266008,
        0.0250648,
        0.0239512,
        0.0229907,
        0.0219961,
        0.0211178,
        0.0205449,
        0.0201651,
        0.0227547,
        0.0221806,
        0.0189695,
        0.0188484,
        0.018692,
        0.0184536,
        0.0182966,
        0.0181724,
        0.0181312,
        0.0181163,
        0.0180747,
        0.0179852,
        0.0179553,
        0.0179272,
        0.0179438,
        0.0203181,
        0.0203494,
        0.0180673,
        0.0181005,
        0.0181529,
        0.0182379,
        0.0184452,
        0.0191191,
        0.0193294,
        0.018953,
        0.0190911,
        0.0192394,
        0.0195525,
        0.0198547,
        0.0201936,
        0.0207882,
        0.0213383,
        0.0219717,
        0.022612,
        0.0234191,
        0.0243768,
        0.0255356,
        0.0269725,
        0.028615,
        0.0304386,
        0.032278,
        0.0342589,
        0.0353359,
        0.0357411,
        0.0369196,
        0.039169,
        0.0427049,
        0.0476091,
        0.0539992,
        0.06336,
        0.0763401,
        0.0939751,
        0.125801,
        0.182027,
        0.15469,
        0.102249,
        0.0740009,
        0.0579507,
        0.0480777,
        0.041064,
        0.0362088,
        0.0330608,
        0.0304839,
        0.0285019,
        0.0270234,
        0.0259221,
        0.025168,
        0.0247035,
        0.0242296,
        0.0239775,
        0.0240151,
        0.0242841,
        0.0249276,
        0.0254955,
        0.0256855,
        0.0253607,
        0.0248182,
        0.0241389,
        0.0244888,
        0.0236729,
        0.022618,
        0.0225034,
        0.0246971,
        0.0241893,
        0.0225453,
        0.0228992,
        0.0235822,
        0.0245174,
        0.0256746,
        0.02701,
        0.0283976,
        0.0295818,
        0.0307251,
        0.0323619,
        0.0344628,
        0.0369693,
        0.0390238,
        0.0389059,
        0.0364274,
        0.0337541,
        0.0301201,
        0.026923,
        0.0247947,
        0.0231375,
        0.0219953,
        0.0210988,
        0.0203934,
        0.0197242,
        0.0192041,
        0.0188513,
        0.0185982,
        0.0183036,
        0.01804,
        0.0177436,
        0.0175554,
        0.017418,
        0.0172979,
        0.0171118,
        0.0169248,
        0.0167935,
        0.0166984,
        0.0166191,
        0.0165809,
        0.0165037,
        0.0165284,
        0.0165255,
        0.0165244,
        0.0165625,
        0.016668,
        0.0167071,
        0.0167533,
        0.0170355,
        0.0200716,
        0.0203516,
        0.0173081,
        0.0172751,
        0.0172054,
        0.0172816,
        0.0174294,
        0.0175175,
        0.0178193,
        0.0181849,
        0.0186284,
        0.0192697,
        0.0199632,
        0.0207946,
        0.0218866,
        0.0228829,
        0.0236072,
        0.0240518,
        0.0240291,
        0.023557,
        0.02302,
        0.0226794,
        0.0228522,
        0.0230022,
        0.023246,
        0.0235159,
        0.0233365,
        0.0227974,
        0.0221247,
        0.0213604,
        0.0208763,
        0.0206757,
        0.0205767,
        0.0206745,
        0.0209195,
        0.0210383,
        0.0208174,
        0.0201034,
        0.0192706,
        0.0191414,
        0.0185573,
        0.0177635,
        0.0172976,
        0.0169652,
        0.0168201,
        0.0167986,
        0.0167203,
        0.0166826,
        0.0166649,
        0.016644,
        0.0167144,
        0.0167893,
        0.0169292,
        0.0170555,
        0.0172148,
        0.017405,
        0.0175581,
        0.0178925,
        0.0183138,
        0.0187162,
        0.0191297,
        0.0197233,
        0.0205275,
        0.0214195,
        0.023835,
        0.0242291,
        0.0241139,
        0.0249694,
        0.0257056,
        0.0265572,
        0.0277068,
        0.0294729,
        0.0319978,
        0.0352485,
        0.0390267,
        0.0426691,
        0.0463117,
        0.0486547,
        0.048187,
        0.0452076,
        0.0413755,
        0.0375648,
        0.034208,
        0.0313871,
        0.0294669,
        0.0284693,
        0.0281346,
        0.0285805,
        0.0294907,
        0.030611,
        0.0318422,
        0.0318885,
        0.0302928,
        0.0280311,
        0.0257153,
        0.0250339,
        0.0226881,
        0.020647,
        0.019691,
        0.0190055,
        0.018382,
        0.0178739,
        0.0174332,
        0.0172094,
        0.0171486,
        0.0170778,
        0.0170364,
        0.0180662,
        0.0179606,
        0.0169642,
        0.0169415,
        0.0166976,
        0.0166847,
        0.0166032,
        0.0189131,
        0.0182982,
        0.0167601,
        0.0169033,
        0.0170428,
        0.0172061,
        0.0200235,
        0.020346,
        0.0179884,
        0.0184133,
        0.0188761,
        0.0191842,
        0.0196612,
        0.0205134,
        0.0213773,
        0.022334,
        0.0231174,
        0.0236,
        0.0234593,
        0.0232025,
        0.0230824,
        0.0228215,
        0.0221433,
        0.0216417,
        0.02106,
        0.0206743,
        0.0205186,
        0.0205257,
        0.0207779,
        0.0209237,
        0.0208806,
        0.0206075,
        0.0198854,
        0.0190609,
        0.0182502,
        0.0176981,
        0.019536,
        0.0192102,
        0.0166355,
        0.0162965,
        0.016059,
        0.0158754,
        0.0158657,
        0.0166569,
        0.0183661,
        0.0171875,
        0.0156182,
        0.0155668,
        0.0154417,
        0.0154344,
        0.0153628,
        0.0154465,
        0.0155492,
        0.0154779,
        0.0154396,
        0.0155229,
        0.0157148,
        0.0160329,
        0.0163806,
        0.0166461,
        0.0170178,
        0.0172414,
        0.0172754,
        0.0173105,
        0.017189,
        0.0167761,
        0.0164995,
        0.016588,
        0.0164418,
        0.0158706,
        0.0157555,
        0.0156311,
        0.0155456,
        0.0154748,
        0.0154715,
        0.0154896,
        0.0154815,
        0.0154285,
        0.0153758,
        0.0153326,
        0.0152914,
        0.0153163,
        0.015297,
        0.0153506,
        0.0153287,
        0.0152757,
        0.0153427,
        0.015426,
        0.015456,
        0.0154323,
        0.0154496,
        0.0155289,
        0.0156229,
        0.0157177,
        0.0158742,
        0.0161189,
        0.0184773,
        0.018332,
        0.0170603,
        0.0175387,
        0.0182899,
        0.019247,
        0.0217587,
        0.023738,
        0.0238463,
        0.0251044,
        0.0256928,
        0.0251605,
        0.0243135,
        0.0234006,
        0.022914,
        0.0227177,
        0.0224968,
        0.0218917,
        0.0209104,
        0.0198031,
        0.0189493,
        0.0185119,
        0.0181931,
        0.0180166,
        0.0177094,
        0.0177182,
        0.0176513,
        0.017079,
        0.0168975,
        0.0167992,
        0.0167345,
        0.0166943,
        0.016689,
        0.0167503,
        0.0170277,
        0.017146,
        0.0170921,
        0.0171262,
        0.0173654,
        0.0176366,
        0.0181867,
        0.0187161,
        0.0191354,
        0.0197027,
        0.0201988,
        0.0204068,
        0.0203306,
        0.0240667,
        0.0263715,
        0.0214143,
        0.019681,
        0.0196871,
        0.0199685,
        0.0202321,
        0.0204808,
        0.0205463,
        0.020265,
        0.019733,
        0.0215098,
        0.021022,
        0.0184009,
        0.0182113,
        0.0180987,
        0.0180668,
        0.0180775,
        0.0181994,
        0.0184529,
        0.0186855,
        0.0190367,
        0.0194602,
        0.0199377,
        0.0210341,
        0.0230242,
        0.0232879,
        0.0233117,
        0.0245369,
        0.0258757,
        0.0275507,
        0.0297199,
        0.0323923,
        0.0356493,
        0.040378,
        0.046462,
        0.0551076,
        0.0700487,
        0.0961007,
        0.141155,
        0.176565,
        0.115139,
        0.0815556,
        0.0620933,
        0.0494175,
        0.0414559,
        0.0402981,
        0.0372509,
        0.029432,
        0.0275181,
        0.0272089,
        0.0269614,
        0.0261,
        0.0238566,
        0.0234219,
        0.0233081,
        0.0235196,
        0.0238686,
        0.0243265,
        0.0246817,
        0.024745,
        0.0241529,
        0.0228224,
        0.0216982,
        0.0208096,
        0.0200918,
        0.0193173,
        0.0191628,
        0.018645,
        0.0179745,
        0.0177081,
        0.017364,
        0.0171648,
        0.0171032,
        0.0170305,
        0.0170123,
        0.0171388,
        0.0173085,
        0.0185128,
        0.0192947,
        0.0185149,
        0.0191988,
        0.020002,
        0.0209365,
        0.0220572,
        0.0228218,
        0.0230543,
        0.022559,
        0.021472,
        0.0203949,
        0.0192328,
        0.0184142,
        0.0177991,
        0.0172771,
        0.0169867,
        0.016781,
        0.0165842,
        0.0165058,
        0.0163295,
        0.0162465,
        0.0161453,
        0.0161555,
        0.0162113,
        0.0162948,
        0.0163988,
        0.0165834,
        0.0166798,
        0.0169437,
        0.0172515,
        0.0199656,
        0.0205135,
        0.0184234,
        0.0188087,
        0.0187132,
        0.0184226,
        0.0180971,
        0.0178753,
        0.0176844,
        0.0176898,
        0.0179166,
        0.0180314,
        0.018212,
        0.0183186,
        0.0182466,
        0.0179521,
        0.017525,
        0.0170854,
        0.0168121,
        0.0164481,
        0.0162616,
        0.0161785,
        0.0162332,
        0.0184828,
        0.0186423,
        0.0164853,
        0.0164397,
        0.0164624,
        0.0164559,
        0.0164507,
        0.0164641,
        0.0164822,
        0.016166,
        0.0159348,
        0.0158207,
        0.0157833,
        0.0158566,
        0.0157552,
        0.0154902,
        0.0154736,
        0.0163349,
        0.0170354,
        0.0159679,
        0.0160944,
        0.0163959,
        0.0166324,
        0.018156,
        0.0193981,
        0.0194016,
        0.0203394,
        0.0200654,
        0.0204658,
        0.0200483,
        0.0186683,
        0.0177882,
        0.0171441,
        0.0166413,
        0.0163529,
        0.0161635,
        0.0159587,
        0.0158284,
        0.0158581,
        0.0189975,
        0.0186357,
        0.0167434,
        0.0152459,
        0.0154858,
        0.0155432,
        0.0151141,
        0.0151624,
        0.0160071,
        0.0156652,
        0.0150848,
        0.0151837,
        0.015107,
        0.0149803,
        0.014878,
        0.0148023,
        0.0147714,
        0.0148388,
        0.0149155,
        0.0168508,
        0.0172101,
        0.0150381,
        0.0150894,
        0.0152574,
        0.0154145,
        0.0153054,
        0.0151457,
        0.015119,
        0.0150781,
        0.0174882,
        0.0175633,
        0.0149173,
        0.0150318,
        0.0149783,
        0.0150142,
        0.0151627,
        0.0152512,
        0.0152542,
        0.0154366,
        0.0157548,
        0.0159797,
        0.0162897,
        0.0167386,
        0.0174658,
        0.0181579,
        0.0188928,
        0.0197052,
        0.0204226,
        0.0207884,
        0.0207009,
        0.0216854,
        0.0213611,
        0.0184165,
        0.0178052,
        0.0174274,
        0.0171142,
        0.0185566,
        0.0184282,
        0.0168308,
        0.0168609,
        0.017055,
        0.017273,
        0.0177059,
        0.0183085,
        0.018912,
        0.0196842,
        0.0202449,
        0.0208553,
        0.0213303,
        0.0215844,
        0.0216545,
        0.021267,
        0.0207336,
        0.0203046,
        0.0198689,
        0.0197105,
        0.0195375,
        0.0192023,
        0.0188405,
        0.0184887,
        0.0180621,
        0.0177539,
        0.0175903,
        0.0176573,
        0.0177701,
        0.017962,
        0.0183908,
        0.0194861,
        0.0205394,
        0.0212897,
        0.0201303,
        0.0195512,
        0.0189035,
        0.017923,
        0.0170038,
        0.0165806,
        0.0164315,
        0.0162262,
        0.0159348,
        0.0157906,
        0.0156956,
        0.01558,
        0.0154646,
        0.015387,
        0.0153079,
        0.0152846,
        0.0152884,
        0.0152634,
        0.0153024,
        0.0151014,
        0.0149569,
        0.0150841,
        0.0162118,
        0.0166195,
        0.0150102,
        0.014964,
        0.0151993,
        0.0152027,
        0.0151042,
        0.0150765,
        0.0151244,
        0.0151385,
        0.0149723,
        0.0149012,
        0.0149673,
        0.0149639,
        0.0149839,
        0.0149643,
        0.0172876,
        0.0171333,
        0.0147806,
        0.014689,
        0.0145474,
        0.0150292,
        0.015075,
        0.0145582,
        0.0146545,
        0.0146162,
        0.0147222,
        0.0147955,
        0.0150274,
        0.015732,
        0.0158335,
        0.0149378,
        0.0148888,
        0.0147609,
        0.0147634,
        0.0150621,
        0.0148563,
        0.0147567,
        0.0150282,
        0.0150131,
        0.0147609,
        0.0147818,
        0.0147319,
        0.0147503,
        0.0148298,
        0.0148761,
        0.0149742,
        0.0150351,
        0.0150922,
        0.0173186,
        0.0167779,
        0.0151865,
        0.0152284,
        0.0153194,
        0.0154532,
        0.0155391,
        0.0155335,
        0.0155895,
        0.0157824,
        0.0158277,
        0.0160496,
        0.0161539,
        0.0163522,
        0.0166306,
        0.0169337,
        0.0172631,
        0.0177879,
        0.0181504,
        0.0190945,
        0.0204415,
        0.0207094,
        0.0208325,
        0.0214834,
        0.0217429,
        0.0212638,
        0.0230098,
        0.0251095,
        0.0255183,
        0.0227155,
        0.0239474,
        0.0246799,
        0.0246645,
        0.0237004,
        0.0224467,
        0.0211318,
        0.020133,
        0.0195896,
        0.0211951,
        0.0210045,
        0.0191257,
        0.0191559,
        0.019136,
        0.0188705,
        0.0185578,
        0.0190496,
        0.019893,
        0.0173552,
        0.0170239,
        0.0168049,
        0.0166152,
        0.0164523,
        0.0164122,
        0.0163429,
        0.0163367,
        0.0162964,
        0.0162301,
        0.0161225,
        0.0166719,
        0.0179659,
        0.0173873,
        0.0163462,
        0.0162561,
        0.0163662,
        0.0165524,
        0.0168961,
        0.016709,
        0.0165177,
        0.016634,
        0.0167863,
        0.0167875,
        0.0188745,
        0.0191742,
        0.0171631,
        0.0172726,
        0.0192209,
        0.0194786,
        0.0179579,
        0.0181453,
        0.0187497,
        0.0192261,
        0.0190923,
        0.0193787,
        0.0198785,
        0.020453,
        0.0209701,
        0.0214652,
        0.0222308,
        0.0232231,
        0.0242753,
        0.0253257,
        0.0275966,
        0.0299413,
        0.0318239,
        0.0362212,
        0.0410154,
        0.0479499,
        0.0587786,
        0.0764104,
        0.103497,
        0.159023,
        0.196727,
        0.122123,
        0.0896567,
        0.0631887,
        0.051208,
        0.0448852,
        0.0386975,
        0.033619,
        0.0305701,
        0.028564,
        0.0268484,
        0.0256129,
        0.0243285,
        0.0235981,
        0.0229494,
        0.022291,
        0.0226789,
        0.0226924,
        0.0212174,
        0.0217118,
        0.0216451,
        0.0214419,
        0.0214434,
        0.0218738,
        0.0227819,
        0.0234154,
        0.0239634,
        0.0245317,
        0.0240385,
        0.0232871,
        0.0220729,
        0.0210583,
        0.020392,
        0.0202939,
        0.0198025,
        0.0190999,
        0.0189519,
        0.0186809,
        0.0185547,
        0.0184378,
        0.0185682,
        0.0187508,
        0.0187694,
        0.0188747,
        0.0191751,
        0.0193597,
        0.0194994,
        0.0199373,
        0.0204869,
        0.0210964,
        0.0214183,
        0.0215368,
        0.0213796,
        0.020919,
        0.0202345,
        0.0196603,
        0.0197653,
        0.0189294,
        0.0181687,
        0.0179852,
        0.0178448,
        0.0178595,
        0.0177443,
        0.0174624,
        0.0171121,
        0.0167693,
        0.0164731,
        0.0163328,
        0.0161964,
        0.0160351,
        0.0158306,
        0.0158406,
        0.0158573,
        0.0157866,
        0.0157024,
        0.0156047,
        0.0156166,
        0.0155992,
        0.0155078,
        0.0154237,
        0.0154318,
        0.0155779,
        0.0154994,
        0.0158143,
        0.0163517,
        0.0160844,
        0.0155878,
        0.0155903,
        0.0154686,
        0.0154808,
        0.015504,
        0.0153325,
        0.0153693,
        0.0162272,
        0.0162377,
        0.01535,
        0.0152722,
        0.0172332,
        0.016688,
        0.0152099,
        0.0166249,
        0.0168757,
        0.0164023,
        0.0164475,
        0.0153111,
        0.0153593,
        0.0153329,
        0.0153645,
        0.0153202,
        0.015326,
        0.0152074,
        0.0151047,
        0.0150861,
        0.0150575,
        0.015093,
        0.015102,
        0.0150621,
        0.0150315,
        0.0150259,
        0.0150832,
        0.0151012,
        0.0150446,
        0.0151697,
        0.0159919,
        0.0157183,
        0.0157722,
        0.0161103,
        0.0163353,
        0.0165766,
        0.0170278,
        0.0187038,
        0.0196229,
        0.0195309,
        0.020445,
        0.0204309,
        0.019736,
        0.0188795,
        0.018074,
        0.0201812,
        0.0196677,
        0.0187323,
        0.0184908,
        0.016304,
        0.016224,
        0.0165966,
        0.0168827,
        0.0159583,
        0.0159347,
        0.0159111,
        0.0164837,
        0.0166171,
        0.0159275,
        0.0158692,
        0.0159764,
        0.0159807,
        0.0159303,
        0.0158924,
        0.0159211,
        0.015962,
        0.0160091,
        0.0161586,
        0.0163614,
        0.016406,
        0.0164874,
        0.0182686,
        0.0169547,
        0.0162044,
        0.0162872,
        0.0161387,
        0.016085,
        0.0162908,
        0.0160265,
        0.0160344,
        0.0190006,
        0.0191004,
        0.0165982,
        0.0166015,
        0.0168201,
        0.0170867,
        0.0172139,
        0.0172813,
        0.0172299,
        0.0173895,
        0.0174209,
        0.0172474,
        0.0171948,
        0.0174768,
        0.0177518,
        0.0180239,
        0.0185465,
        0.0191054,
        0.0195361,
        0.0197702,
        0.0197665,
        0.0192405,
        0.0184559,
        0.0181435,
        0.0177785,
        0.0172427,
        0.0170649,
        0.0169531,
        0.0173014,
        0.0171878,
        0.0166139,
        0.0166327,
        0.0164888,
        0.0163334,
        0.0167006,
        0.0175799,
        0.0167368,
        0.0164828,
        0.0166692,
        0.0166715,
        0.0168485,
        0.0168886,
        0.0167513,
        0.0168223,
        0.0168333,
        0.0168643,
        0.0168273,
        0.0168677,
        0.016886,
        0.0169638,
        0.0168159,
        0.0170848,
        0.0170411,
        0.0171064,
        0.0172842,
        0.0175862,
        0.0181564,
        0.018444,
        0.0186641,
        0.0214635,
        0.0221281,
        0.0210597,
        0.0220352,
        0.0224592,
        0.0243908,
        0.0267764,
        0.0305269,
        0.0356082,
        0.0424844,
        0.0507321,
        0.060013,
        0.0655316,
        0.0648854,
        0.0610431,
        0.0533374,
        0.0453187,
        0.0376996,
        0.0317727,
        0.0277146,
        0.0250838,
        0.0231941,
        0.0220783,
        0.0208047,
        0.0200156,
        0.0194633,
        0.0189039,
        0.0185998,
        0.018315,
        0.0180255,
        0.0179498,
        0.0177889,
        0.0176401,
        0.0174503,
        0.0176139,
        0.0176022,
        0.0175059,
        0.0175091,
        0.0175423,
        0.0174806,
        0.0173636,
        0.0172579,
        0.01714,
        0.0171001,
        0.0170342,
        0.0169954,
        0.0169725,
        0.0169787,
        0.0171008,
        0.0170561,
        0.0171153,
        0.0170588,
        0.0170958,
        0.0173569,
        0.0197772,
        0.0196636,
        0.0199188,
        0.0200216,
        0.0172204,
        0.0170557,
        0.0170508,
        0.0170921,
        0.0169433,
        0.0170998,
        0.0172527,
        0.017456,
        0.0179768,
        0.0182851,
        0.0188599,
        0.0195621,
        0.0205488,
        0.0217136,
        0.0234187,
        0.0277067,
        0.0292638,
        0.0287843,
        0.0294687,
        0.0290973,
        0.028341,
        0.0262748,
        0.024314,
        0.0228482,
        0.0216693,
        0.0208665,
        0.0202917,
        0.019689,
        0.0193757,
        0.019088,
        0.018884,
        0.0188183,
        0.0198952,
        0.0193852,
        0.0190976,
        0.0191189,
        0.019234,
        0.0210186,
        0.0210539,
        0.0193427,
        0.0194991,
        0.0195015,
        0.0196066,
        0.0198854,
        0.0201549,
        0.0201007,
        0.0200193,
        0.0197329,
        0.0196763,
        0.0194669,
        0.0192251,
        0.0191832,
        0.0191329,
        0.0216096,
        0.021932,
        0.0199128,
        0.0200893,
        0.0197644,
        0.0206238,
        0.0216887,
        0.0223932,
        0.0229605,
        0.0232829,
        0.0226636,
        0.0219002,
        0.0214825,
        0.0205258,
        0.0197379,
        0.0191138,
        0.0185756,
        0.0183392,
        0.0180053,
        0.0177635,
        0.017787,
        0.0176683,
        0.0177806,
        0.0177693,
        0.0176322,
        0.0176679,
        0.0177329,
        0.0178377,
        0.0179304,
        0.0181343,
        0.0180196,
        0.0180904,
        0.0181104,
        0.0183271,
        0.0185443,
        0.0187187,
        0.0188419,
        0.019001,
        0.0192635,
        0.0193955,
        0.0195074,
        0.0198894,
        0.0202374,
        0.0204942,
        0.0206493,
        0.020885,
        0.0212941,
        0.021501,
        0.021787,
        0.0224058,
        0.0230445,
        0.0236988,
        0.0253227,
        0.0260495,
        0.0294635,
        0.0306536,
        0.0281685,
        0.029252,
        0.0310532,
        0.0333017,
        0.0357859,
        0.039453,
        0.0440937,
        0.0499655,
        0.0593087,
        0.0724639,
        0.0925394,
        0.127256,
        0.21942,
        0.150564,
        0.107796,
        0.0808761,
        0.0659754,
        0.0564797,
        0.0495591,
        0.0456393,
        0.0433016,
        0.0457654,
        0.0421598,
        0.0402752,
        0.0404529,
        0.0417753,
        0.0436408,
        0.046885,
        0.0519265,
        0.0590085,
        0.0700769,
        0.0884424,
        0.120429,
        0.180777,
        0.186424,
        0.123115,
        0.0883714,
        0.0679557,
        0.0655325,
        0.0583765,
        0.047564,
        0.0392628,
        0.0367063,
        0.035099,
        0.0335367,
        0.0328121,
        0.0329034,
        0.0330625,
        0.0330512,
        0.032855,
        0.0317861,
        0.0352646,
        0.0323774,
        0.0260881,
        0.025106,
        0.0243193,
        0.0233541,
        0.0230001,
        0.0225409,
        0.0223996,
        0.0222333,
        0.0221047,
        0.0224222,
        0.0222326,
        0.0218948,
        0.0220793,
        0.0220415,
        0.0215321,
        0.0211903,
        0.0206561,
        0.0200908,
        0.0199042,
        0.0196958,
        0.0195352,
        0.0193239,
        0.019143,
        0.018838,
        0.0187285,
        0.0186026,
        0.0187357,
        0.0189618,
        0.0186741,
        0.0186015,
        0.0185113,
        0.0189289,
        0.0185881,
        0.0183886,
        0.0182429,
        0.0183458,
        0.018402,
        0.0184731,
        0.0185321,
        0.0186458,
        0.0186184,
        0.0185737,
        0.0186742,
        0.0191633,
        0.0214305,
        0.0214996,
        0.0186286,
        0.0187113,
        0.018615,
        0.0185905,
        0.0187631,
        0.0187853,
        0.018751,
        0.0187905,
        0.0190262,
        0.0190074,
        0.0189172,
        0.019091,
        0.0190468,
        0.0190271,
        0.0192461,
        0.0189954,
        0.0190887,
        0.019088,
        0.0189325,
        0.018928,
        0.0189833,
        0.0187854,
        0.0189059,
        0.0191158,
        0.0190543,
        0.0195052,
        0.0193211,
        0.0189455,
        0.0188677,
        0.0188478,
        0.0186836,
        0.0186424,
        0.018827,
        0.0185347,
        0.0186268,
        0.0185863,
        0.0186188,
        0.0188048,
        0.0189233,
        0.0191064,
        0.0192316,
        0.0195746,
        0.0198292,
        0.0202781,
        0.0210332,
        0.0210157,
        0.0213212,
        0.0219565,
        0.0226383,
        0.0236968,
        0.0268472,
        0.0265657,
        0.0245562,
        0.0244239,
        0.0237542,
        0.0230668,
        0.0226705,
        0.0225843,
        0.0223416,
        0.0226136,
        0.0230042,
        0.0236223,
        0.024555,
        0.0250766,
        0.0253147,
        0.0251053,
        0.0243806,
        0.0238125,
        0.0275356,
        0.0266111,
        0.0220047,
        0.0216144,
        0.0214988,
        0.0211918,
        0.0238991,
        0.0239209,
        0.0207508,
        0.0203837,
        0.0202742,
        0.0202827,
        0.020271,
        0.0202886,
        0.0202157,
        0.0201508,
        0.021454,
        0.0213458,
        0.0202952,
        0.0201447,
        0.0203006,
        0.0202919,
        0.0198778,
        0.0197325,
        0.019629,
        0.019396,
        0.0192843,
        0.0195433,
        0.0197233,
        0.019057,
        0.0189544,
        0.0189518,
        0.0189558,
        0.0187036,
        0.0187693,
        0.0186335,
        0.0184866,
        0.0185893,
        0.0186942,
        0.0188611,
        0.0190204,
        0.0190199,
        0.0190812,
        0.0193893,
        0.0197368,
        0.0218888,
        0.0220326,
        0.0201496,
        0.0203869,
        0.0203489,
        0.0201939,
        0.0199313,
        0.0197512,
        0.0197753,
        0.0197612,
        0.0196857,
        0.0197756,
        0.0200188,
        0.0198426,
        0.0200836,
        0.0224671,
        0.0208686,
        0.0254489,
        0.0257639,
        0.0205084,
        0.0206133,
        0.0207469,
        0.0208861,
        0.0208222,
        0.0224003,
        0.0249445,
        0.022622,
        0.0204083,
        0.0204455,
        0.0204145,
        0.0201292,
        0.0200649,
        0.0201556,
        0.0199393,
        0.0197596,
        0.0198975,
        0.0198104,
        0.0198534,
        0.0198958,
        0.0199123,
        0.0200395,
        0.0199115,
        0.0199182,
        0.0198365,
        0.0198617,
        0.020433,
        0.0197656,
        0.0196142,
        0.01935,
        0.0193648,
        0.0192901,
        0.0191879,
        0.0191171,
        0.0191039,
        0.0191457,
        0.0194319,
        0.0193421,
        0.0194487,
        0.0200462,
        0.0203028,
        0.0204662,
        0.0207279,
        0.0211438,
        0.0220991,
        0.022934,
        0.0239673,
        0.0248525,
        0.0273329,
        0.0277644,
        0.0254644,
        0.022681,
        0.0219879,
        0.0215381,
        0.0212382,
        0.0210897,
        0.0210152,
        0.0209347,
        0.0208374,
        0.0205006,
        0.0205237,
        0.0208727,
        0.0207985,
        0.0206916,
        0.0204945,
        0.0205072,
        0.0205516,
        0.0208671,
        0.0206384,
        0.0210811,
        0.0207994,
        0.0205972,
        0.0206345,
        0.0205156,
        0.0206079,
        0.0213381,
        0.0216797,
        0.0205714,
        0.0205993,
        0.0208967,
        0.0209689,
        0.0248299,
        0.0247303,
        0.021087,
        0.020783,
        0.0207482,
        0.0206863,
        0.020428,
        0.0206441,
        0.0205948,
        0.0208202,
        0.0209218,
        0.020657,
        0.0208173,
        0.0208221,
        0.0207359,
        0.0223693,
        0.0225041,
        0.0205887,
        0.0204137,
        0.0203632,
        0.0201094,
        0.0229451,
        0.0217101,
        0.0199608,
        0.0199961,
        0.0198902,
        0.020009,
        0.020087,
        0.0197966,
        0.019731,
        0.0197697,
        0.0200025,
        0.0201257,
        0.0204055,
        0.0202364,
        0.0202089,
        0.0201114,
        0.020332,
        0.0204796,
        0.0205189,
        0.0207321,
        0.0213325,
        0.0211416,
        0.0207187,
        0.0207921,
        0.0208586,
        0.0210292,
        0.0211827,
        0.0213856,
        0.0217637,
        0.0216502,
        0.0217788,
        0.0221571,
        0.0222486,
        0.0220984,
        0.0222469,
        0.0222133,
        0.0222663,
        0.0216177,
        0.0226261,
        0.0226061,
        0.021542,
        0.0214967,
        0.0248498,
        0.0248242,
        0.0214709,
        0.0213141,
        0.0240743,
        0.0245298,
        0.0216923,
        0.021775,
        0.0217845,
        0.0219771,
        0.0220541,
        0.0220574,
        0.022281,
        0.0224307,
        0.0227397,
        0.0229713,
        0.0234772,
        0.0241388,
        0.0246251,
        0.025622,
        0.0263109,
        0.0267888,
        0.0270408,
        0.0280751,
        0.0287991,
        0.024895,
        0.0241155,
        0.0235999,
        0.0234337,
        0.0235922,
        0.0236005,
        0.0233027,
        0.0234715,
        0.0236142,
        0.0238839,
        0.0240238,
        0.0242887,
        0.0286942,
        0.0301596,
        0.0307151,
        0.0273943,
        0.0272624,
        0.0260603,
        0.0262431,
        0.027133,
        0.027859,
        0.0285055,
        0.029569,
        0.0302734,
        0.0314401,
        0.0326496,
        0.0389597,
        0.0414481,
        0.0391659,
        0.0425221,
        0.0463761,
        0.0520876,
        0.0612088,
        0.0721666,
        0.086292,
        0.111123,
        0.152604,
        0.192624,
        0.134686,
        0.100572,
        0.0788805,
        0.0660598,
        0.0555781,
        0.0496926,
        0.0456849,
        0.0415473,
        0.039448,
        0.037846,
        0.0389145,
        0.0376765,
        0.0335048,
        0.0324115,
        0.0315442,
        0.0305973,
        0.0300512,
        0.0293738,
        0.0291327,
        0.028812,
        0.0287827,
        0.0285846,
        0.0285811,
        0.0282364,
        0.0277546,
        0.0273253,
        0.0271112,
        0.0268422,
        0.0264566,
        0.0260426,
        0.0256975,
        0.025426,
        0.025283,
        0.0246324,
        0.0245757,
        0.024531,
        0.0252926,
        0.0275596,
        0.024721,
        0.0241759,
        0.0244091,
        0.0244776,
        0.0244783,
        0.0247736,
        0.0245345,
        0.0243087,
        0.0243873,
        0.024599,
        0.0245253,
        0.0242739,
        0.0242903,
        0.0241876,
        0.0242217,
        0.0240006,
        0.0240831,
        0.0243151,
        0.0244854,
        0.024294,
        0.0244263,
        0.0244365,
        0.0245742,
        0.024998,
        0.0252859,
        0.0259378,
        0.0264761,
        0.0269086,
        0.0279125,
        0.0287556,
        0.0296964,
        0.0300903,
        0.0297148,
        0.0288088,
        0.0281193,
        0.0270925,
        0.0279046,
        0.0299732,
        0.0273244,
        0.0247335,
        0.0244336,
        0.0241034,
        0.0240037,
        0.0240345,
        0.0237508,
        0.0233787,
        0.0234545,
        0.02338,
        0.0233642,
        0.0233733,
        0.0233924,
        0.0233004,
        0.0234945,
        0.0237396,
        0.0241923,
        0.0239309,
        0.0238881,
        0.0238678,
        0.0238962,
        0.0238118,
        0.023735,
        0.0239448,
        0.0238869,
        0.0238009,
        0.0240189,
        0.0236468,
        0.0239605,
        0.0245062,
        0.0248173,
        0.0242649,
        0.0242309,
        0.0242434,
        0.0240677,
        0.0242814,
        0.0244117,
        0.024624,
        0.0244507,
        0.0245708,
        0.0244469,
        0.024731,
        0.0249957,
        0.0248988,
        0.024989,
        0.0248837,
        0.0246905,
        0.0248507,
        null,
        0.0196645,
        0.0199038,
        0.0199755,
        0.0200738,
        0.0202973,
        0.0206311,
        0.0210501,
        0.021547,
        0.0232242,
        0.0252764,
        0.0236237,
        0.0237224,
        0.023535,
        0.0229254,
        0.0221812,
        0.0215093,
        0.0208917,
        0.0203789,
        0.0201273,
        0.0198918,
        0.0198422,
        0.0196383,
        0.0193126,
        0.0191261,
        0.0189921,
        0.018862,
        0.01875,
        0.0186243,
        0.0186502,
        0.0186206,
        0.018565,
        0.0186097,
        0.0186486,
        0.0186877,
        0.0187357,
        0.0187329,
        0.0187022,
        0.0186751,
        0.0186515,
        0.0186196,
        0.0196287,
        0.0195761,
        0.0184776,
        0.0184,
        0.0184318,
        0.018475,
        0.0187417,
        0.0187219,
        0.0185321,
        0.018635,
        0.0186326,
        0.0204241,
        0.0204206,
        0.0185203,
        0.0185769,
        0.0187218,
        0.018756,
        0.0187567,
        0.0188931,
        0.0189284,
        0.0189511,
        0.019048,
        0.0190912,
        0.0191272,
        0.0191237,
        0.0191378,
        0.0191525,
        0.0191964,
        0.0193333,
        0.0194015,
        0.0195917,
        0.0196601,
        0.0195584,
        0.0196429,
        0.0196289,
        0.0196235,
        0.0196067,
        0.0194878,
        0.0195066,
        0.0195415,
        0.0195194,
        0.019575,
        0.0196112,
        0.0196039,
        0.0195985,
        0.0195971,
        0.0195588,
        0.0194663,
        0.0194164,
        0.0194623,
        0.019449,
        0.0193712,
        0.0193423,
        0.0193344,
        0.01931,
        0.0193473,
        0.0193502,
        0.0194462,
        0.0196232,
        0.0198721,
        0.0201737,
        0.0203787,
        0.0205789,
        0.0208563,
        0.0212539,
        0.0217612,
        0.022212,
        0.0228494,
        0.0237048,
        0.0245804,
        0.0257176,
        0.0319465,
        0.0339748,
        0.0310103,
        0.0333652,
        0.0354574,
        0.0372607,
        0.0385895,
        0.0436358,
        0.0463131,
        0.0467651,
        0.0531037,
        0.0633262,
        0.0798608,
        0.106853,
        0.157573,
        0.144106,
        0.0977821,
        0.0727618,
        0.0618772,
        0.0504806,
        0.0399154,
        0.0352238,
        0.0321256,
        0.0297598,
        0.0277566,
        0.0261084,
        0.0248035,
        0.0237677,
        0.0227736,
        0.0220945,
        0.0216405,
        0.0213461,
        0.0211226,
        0.0226214,
        0.0225016,
        0.0206212,
        0.0204844,
        0.0203712,
        0.02025,
        0.0199512,
        0.0194696,
        0.0191534,
        0.018867,
        0.0186479,
        0.0185221,
        0.0184071,
        0.0183044,
        0.0181541,
        0.0180382,
        0.0179172,
        0.0178661,
        0.01895,
        0.0188895,
        0.0177618,
        0.0178173,
        0.017816,
        0.0178018,
        0.0186828,
        0.0187447,
        0.0177327,
        0.0177376,
        0.0176645,
        0.017578,
        0.0175928,
        0.0176913,
        0.0176712,
        0.0177792,
        0.0177886,
        0.0176897,
        0.0176233,
        0.0175992,
        0.0206362,
        0.0209702,
        0.0182379,
        0.0173772,
        0.017593,
        0.0175091,
        0.0172297,
        0.0172204,
        0.0170932,
        0.0170442,
        0.0170868,
        0.0170141,
        0.0169059,
        0.0175073,
        0.0175957,
        0.0170683,
        0.0171226,
        0.0171263,
        0.0171967,
        0.0173352,
        0.0172183,
        0.0170107,
        0.0170674,
        0.0171036,
        0.0171573,
        0.0172514,
        0.0173423,
        0.0174219,
        0.0176707,
        0.0180535,
        0.0185103,
        0.0190844,
        0.0196279,
        0.0199544,
        0.0199384,
        0.0195131,
        0.0190566,
        0.0187891,
        0.01875,
        0.0181985,
        0.0179207,
        0.0180383,
        0.0178606,
        0.0175161,
        0.0174303,
        0.0173672,
        0.0173142,
        0.017221,
        0.0172096,
        0.0171382,
        0.0171239,
        0.0171264,
        0.0170697,
        0.017025,
        0.0169923,
        0.0169862,
        0.0169333,
        0.0168368,
        0.0169993,
        0.0172172,
        0.017131,
        0.0171149,
        0.0171687,
        0.0178884,
        0.0180059,
        0.0169975,
        0.0167722,
        0.016674,
        0.0165195,
        0.0164934,
        0.0164603,
        0.0164384,
        0.0164338,
        0.016406,
        0.0163023,
        0.0162641,
        0.0162782,
        0.016408,
        0.0165427,
        0.0163312,
        0.0162995,
        0.0163201,
        0.0163884,
        0.0164104,
        0.0164116,
        0.0164286,
        0.0164989,
        0.0173106,
        0.017219,
        0.0165926,
        0.0165581,
        0.0165503,
        0.01647,
        0.0165042,
        0.0163937,
        0.0166458,
        0.0167045,
        0.0165824,
        0.0166756,
        0.0168057,
        0.0168273,
        0.0168491,
        0.0168666,
        0.0168962,
        0.016863,
        0.0168416,
        0.0168745,
        0.017007,
        0.0170374,
        0.017118,
        0.0171192,
        0.0172398,
        0.0171907,
        0.0172732,
        0.0172401,
        0.0171827,
        0.0170575,
        0.0170898,
        0.017123,
        0.0171359,
        0.0182448,
        0.0183446,
        0.0170369,
        0.0170937,
        0.0171477,
        0.0171725,
        0.0171149,
        0.0172554,
        0.0175641,
        0.0176133,
        0.0177185,
        0.0179302,
        0.0183274,
        0.0185541,
        0.018987,
        0.0195474,
        0.0199119,
        0.0204573,
        0.0213274,
        0.0223606,
        0.0234391,
        0.0244774,
        0.0250787,
        0.0255449,
        0.0261746,
        0.0269238,
        0.0282636,
        0.0303448,
        0.0331539,
        0.0367512,
        0.0425213,
        0.0509015,
        0.0635343,
        0.0827835,
        0.111691,
        0.155914,
        0.212135,
        0.179376,
        0.124591,
        0.088856,
        0.0677079,
        0.0540336,
        0.0445343,
        0.0383513,
        0.0339281,
        0.030775,
        0.0281842,
        0.0263302,
        0.0279655,
        0.0266035,
        0.0238588,
        0.0237041,
        0.0212029,
        0.020559,
        0.0199386,
        0.0194718,
        0.0191218,
        0.018742,
        0.0183963,
        0.0180562,
        0.0178219,
        0.0176361,
        0.0174069,
        0.0172904,
        0.0171781,
        0.0170204,
        0.0169577,
        0.0168564,
        0.016809,
        0.0167428,
        0.0167534,
        0.0167973,
        0.0173691,
        0.0169679,
        0.0165021,
        0.016373,
        0.0162173,
        0.0161933,
        0.0161724,
        0.0160444,
        0.0160522,
        0.0161147,
        0.0161406,
        0.0161704,
        0.0162919,
        0.0163152,
        0.0162201,
        0.0162181,
        0.0162135,
        0.0162332,
        0.0161821,
        0.0161207,
        0.0161857,
        0.0161704,
        0.0162025,
        0.0161389,
        0.0161167,
        0.0160831,
        0.0161061,
        0.0160853,
        0.0160704,
        0.0160803,
        0.0161006,
        0.0161276,
        0.0160475,
        0.0160512,
        0.0160335,
        0.0160545,
        0.016021,
        0.0160261,
        0.0160417,
        0.0161123,
        0.0160637,
        0.0161326,
        0.0160717,
        0.0160415,
        0.0160044,
        0.0159431,
        0.0159084,
        0.015884,
        0.015833,
        0.0158019,
        0.0159003,
        0.0160229,
        0.0161865,
        0.0164444,
        0.0167205,
        0.0170406,
        0.0173318,
        0.0174196,
        0.0172768,
        0.0168696,
        0.0164561,
        0.0162109,
        0.0159916,
        0.0158125,
        0.0157057,
        0.0157143,
        0.0156566,
        0.0157004,
        0.0156785,
        0.0157474,
        0.015887,
        0.0157439,
        0.0156873,
        0.0156083,
        0.0165009,
        0.0164718,
        0.0157284,
        0.0157144,
        0.0158154,
        0.0158634,
        0.0159075,
        0.0159593,
        0.0160413,
        0.0160735,
        0.0161237,
        0.0160314,
        0.016069,
        0.0160881,
        0.0161189,
        0.0161648,
        0.0162565,
        0.0163455,
        0.0171428,
        0.0168014,
        0.0165618,
        0.0167003,
        0.0169239,
        0.0170068,
        0.0168776,
        0.0171185,
        0.0172716,
        0.0196861,
        0.0201158,
        0.0179417,
        0.0181086,
        0.0196622,
        0.0194872,
        0.0192426,
        0.0195323,
        0.0199685,
        0.0202982,
        0.0204403,
        0.0204658,
        0.0203511,
        0.0200644,
        0.0196167,
        0.0193155,
        0.01889,
        0.0184977,
        0.0181554,
        0.0179152,
        0.0176674,
        0.0185633,
        0.018738,
        0.0177793,
        0.0178262,
        0.0180106,
        0.0182104,
        0.0184632,
        0.0188983,
        0.0190636,
        0.0194817,
        0.0217615,
        0.0227643,
        0.0222523,
        0.023557,
        0.0233687,
        0.0248652,
        0.0268173,
        0.0297118,
        0.0331795,
        0.0375549,
        0.0450265,
        0.0564163,
        0.074634,
        0.105673,
        0.155214,
        0.156132,
        0.10133,
        0.0725665,
        0.0548266,
        0.0437143,
        0.0366651,
        0.0318247,
        0.0287355,
        0.0263065,
        0.0243525,
        0.0231517,
        0.0221758,
        0.0248823,
        0.0238909,
        0.020301,
        0.0201568,
        0.0201096,
        0.0201439,
        0.0201647,
        0.0200603,
        0.019282,
        0.0186411,
        0.0187316,
        0.0187663,
        0.0175907,
        0.0171964,
        0.0170088,
        0.0166543,
        0.0164025,
        0.0162096,
        0.0161111,
        0.0159681,
        0.0157799,
        0.0158196,
        0.0158322,
        0.0160138,
        0.0161247,
        0.0158509,
        0.0159901,
        0.0159481,
        0.0158621,
        0.0167004,
        0.0172128,
        0.0158956,
        0.0158832,
        0.0159602,
        0.015972,
        0.0160963,
        0.0162226,
        0.0162015,
        0.0161499,
        0.0163038,
        0.016407,
        0.0165541,
        0.0166009,
        0.0164627,
        0.0164097,
        0.0163045,
        0.016059,
        0.0159197,
        0.0158903,
        0.0158318,
        0.0157382,
        0.0156631,
        0.0156262,
        0.0155004,
        0.0154962,
        0.0155013,
        0.015382,
        0.0153733,
        0.0153493,
        0.0153402,
        0.0153136,
        0.0152962,
        0.0152452,
        0.0151751,
        0.0151396,
        0.0150557,
        0.0149814,
        0.015054,
        0.0150561,
        0.0150752,
        0.0150495,
        0.0158629,
        0.0163178,
        0.0160653,
        0.0174166,
        0.0172035,
        0.0150242,
        0.015131,
        0.0152583,
        0.0152417,
        0.0152292,
        0.0153457,
        0.0156355,
        0.0158781,
        0.0157212,
        0.0154179,
        0.0154526,
        0.0160417,
        0.0156338,
        0.0157124,
        0.0156749,
        0.0154695,
        0.0155024,
        0.0155001,
        0.0155452,
        0.0155738,
        0.0157419,
        0.0159579,
        0.0159986,
        0.0167114,
        0.0172122,
        0.015972,
        0.0160124,
        0.0160678,
        0.0160607,
        0.0160365,
        0.016112,
        0.0162595,
        0.0162292,
        0.0159595,
        0.0160321,
        0.0160516,
        0.0160618,
        0.0160482,
        0.0161735,
        0.0163679,
        0.0165601,
        0.0168411,
        0.0172351,
        0.0175089,
        0.0173888,
        0.0172781,
        0.0169594,
        0.0165591,
        0.0162554,
        0.016022,
        0.0158851,
        0.0159737,
        0.0157766,
        0.0157524,
        0.0157238,
        0.015559,
        0.0164805,
        0.0164382,
        0.0156053,
        0.0155774,
        0.0155368,
        0.0155727,
        0.0156417,
        0.0155813,
        0.0173137,
        0.0178099,
        0.0157779,
        0.0158816,
        0.0169886,
        0.0166979,
        0.0159062,
        0.0160551,
        0.0161562,
        0.0164833,
        0.0192587,
        0.0182743,
        0.0162407,
        0.0163691,
        0.0165717,
        0.0165936,
        0.0165516,
        0.0166752,
        0.0165708,
        0.0164822,
        0.0165321,
        0.0166401,
        0.0167413,
        0.0167741,
        0.0167038,
        0.0167673,
        0.0169376,
        0.0168702,
        0.0168695,
        0.0169421,
        0.0170115,
        0.017055,
        0.017258,
        0.0174646,
        0.0176404,
        0.0178533,
        0.0180584,
        0.0181833,
        0.0180602,
        0.0178849,
        0.0175979,
        0.0173,
        0.017028,
        0.0168248,
        0.0166356,
        0.0165113,
        0.0169652,
        0.0166316,
        0.0162912,
        0.0165069,
        0.0166024,
        0.0161833,
        0.0161613,
        0.0161517,
        0.0159823,
        0.0159227,
        0.0159984,
        0.0158981,
        0.015914,
        0.0159047,
        0.0158769,
        0.0158743,
        0.0159283,
        0.0159324,
        0.0160084,
        0.0160593,
        0.0162142,
        0.0162789,
        0.0162124,
        0.0162505,
        0.016509,
        0.0165364,
        0.0165051,
        0.0164658,
        0.0164947,
        0.0164961,
        0.0166259,
        0.0168908,
        0.0172493,
        0.0167518,
        0.0168073,
        0.0167953,
        0.0168414,
        0.0169103,
        0.0168955,
        0.0181105,
        0.0183356,
        0.0170355,
        0.0170377,
        0.0171555,
        0.0182828,
        0.0190479,
        0.0177587,
        0.0180213,
        0.0182509,
        0.01839,
        0.0183893,
        0.0180782,
        0.018645,
        0.0180505,
        0.0172277,
        0.0169556,
        0.0168457,
        0.0168571,
        0.0170808,
        0.0169684,
        0.0167604,
        0.0167505,
        0.0168569,
        0.0169365,
        0.0169185,
        0.0170148,
        0.0169959,
        0.017783,
        0.0177967,
        0.0174689,
        0.018049,
        0.0186684,
        0.0187881,
        0.0195046,
        0.0201746,
        0.0207639,
        0.0214466,
        0.0219347,
        0.0220073,
        0.0218128,
        0.0215064,
        0.0210234,
        0.0204196,
        0.0198879,
        0.0194367,
        0.0190775,
        0.0189148,
        0.0188739,
        0.0225036,
        0.0226066,
        0.0191229,
        0.0194508,
        0.020875,
        0.0213532,
        0.0199648,
        0.0200102,
        0.0200658,
        0.0200296,
        0.0198267,
        0.0213627,
        0.0212587,
        0.0188314,
        0.0185371,
        0.0183092,
        0.017994,
        0.0178868,
        0.0178287,
        0.0176905,
        0.017556,
        0.0174127,
        0.0173523,
        0.017229,
        0.0173542,
        0.017859,
        0.0178815,
        0.0169214,
        0.0166704,
        0.0165349,
        0.0165586,
        0.0164367,
        0.0163824,
        0.0164667,
        0.0163725,
        0.016232,
        0.0162384,
        0.0163313,
        0.0161608,
        0.0185566,
        0.0186413,
        0.0161049,
        0.0160465,
        0.0159615,
        0.0176139,
        0.0176279,
        0.0161796,
        0.0162091,
        0.0163057,
        0.0163606,
        0.0164155,
        0.0164546,
        0.0169896,
        0.0171343,
        0.0167369,
        0.0167687,
        0.0168547,
        0.0170021,
        0.01714,
        0.0171993,
        0.0172283,
        0.016927,
        0.0173655,
        0.017478,
        0.0174535,
        0.0175342,
        0.0175536,
        0.0175581,
        0.0176995,
        0.0177838,
        0.0179758,
        0.0183944,
        0.0187616,
        0.0188078,
        0.0191504,
        0.0197787,
        0.0200554,
        0.0208714,
        0.0213609,
        0.0212516,
        0.0215772,
        0.0217489,
        0.022063,
        0.0235154,
        0.0241887,
        0.0238537,
        0.0250311,
        0.0265314,
        0.0287363,
        0.031315,
        0.0349991,
        0.0398353,
        0.0467669,
        0.0553577,
        0.0653394,
        0.0758978,
        0.0823775,
        0.0825315,
        0.0748811,
        0.0637999,
        0.054165,
        0.0455387,
        0.0389821,
        0.034175,
        0.0308672,
        0.0282496,
        0.026328,
        0.0248214,
        0.023676,
        0.0228025,
        0.0220915,
        0.0214611,
        0.021143,
        0.0208147,
        0.0206789,
        0.0206937,
        0.0209274,
        0.0212385,
        0.0228296,
        0.0226667,
        0.0224481,
        0.0227029,
        0.0233091,
        0.0241764,
        0.0281352,
        0.0283973,
        0.0288966,
        0.0319728,
        0.0366838,
        0.0434247,
        0.0523785,
        0.0655803,
        0.0805,
        0.088836,
        0.0829046,
        0.0670058,
        0.0531819,
        0.0430103,
        0.0360518,
        0.0313621,
        0.027949,
        0.0254524,
        0.0236865,
        0.0220802,
        0.0210811,
        0.0202634,
        0.0196044,
        0.0191507,
        0.0186475,
        0.0182897,
        0.0178515,
        0.0174497,
        0.017245,
        0.0171711,
        0.0169549,
        0.0167891,
        0.0167272,
        0.0167424,
        0.0169839,
        0.0167501,
        0.0165938,
        0.0165583,
        0.0164561,
        0.0162642,
        0.0160967,
        0.0161229,
        0.016137,
        0.0161187,
        0.0166325,
        0.0186346,
        0.0174463,
        0.0157403,
        0.0158023,
        0.0156911,
        0.0157226,
        0.0163053,
        0.0167228,
        0.0156437,
        0.0160341,
        0.015954,
        0.0171507,
        0.0168633,
        0.0158198,
        0.0160025,
        0.0160291,
        0.01606,
        0.016135,
        0.0161743,
        0.0161796,
        0.0163538,
        0.0163328,
        0.016396,
        0.0164685,
        0.0165584,
        0.0165003,
        0.016717,
        0.0168942,
        0.0169334,
        0.0169811,
        0.0168658,
        0.016622,
        0.0164539,
        0.0163779,
        0.0159509,
        0.0158129,
        0.0157804,
        0.0156334,
        0.0154869,
        0.0154383,
        0.0154143,
        0.0154384,
        0.0154586,
        0.0154559,
        0.0152721,
        0.0151867,
        0.0151727,
        0.0151464,
        0.0151628,
        0.015161,
        0.0150739,
        0.0167586,
        0.0168648,
        0.015141,
        0.0151799,
        0.0152542,
        0.0153638,
        0.0152592,
        0.0151774,
        0.0152665,
        0.0154174,
        0.015463,
        0.0154304,
        0.0154428,
        0.0155526,
        0.0185276,
        0.0184436,
        0.0157417,
        0.0158927,
        0.0159577,
        0.0160018,
        0.0162831,
        0.0162802,
        0.0161405,
        0.0161631,
        0.0161441,
        0.0163281,
        0.0164398,
        0.0163493,
        0.0164246,
        0.0165359,
        0.0165646,
        0.0165836,
        0.0164713,
        0.0164925,
        0.0165646,
        0.0166675,
        0.0165594,
        0.0165759,
        0.0163649,
        0.0161897,
        0.0187759,
        0.0188306,
        0.0162284,
        0.0160211,
        0.0160233,
        0.0162109,
        0.0162588,
        0.0161509,
        0.016163,
        0.0162558,
        0.0164472,
        0.0164665,
        0.0164834,
        0.0165397,
        0.0165395,
        0.0165145,
        0.0165917,
        0.0167467,
        0.0168101,
        0.0168843,
        0.0169661,
        0.0189665,
        0.0192417,
        0.0178422,
        0.0183795,
        0.0186622,
        0.0189724,
        0.0203589,
        0.0211179,
        0.0205489,
        0.0211191,
        0.0215626,
        0.0222088,
        0.0226679,
        0.0229185,
        0.023208,
        0.023379,
        0.0235729,
        0.024054,
        0.0244602,
        0.0250173,
        0.0259839,
        0.0270688,
        0.028429,
        0.0302545,
        0.0322134,
        0.0352438,
        0.0391051,
        0.0450599,
        0.051827,
        0.0606015,
        0.0740557,
        0.0925146,
        0.120628,
        0.162926,
        0.155309,
        0.113253,
        0.0860337,
        0.0698368,
        0.0568573,
        0.0473948,
        0.0418127,
        0.0366655,
        0.0329601,
        0.0302421,
        0.0281292,
        0.0263159,
        0.0250022,
        0.0239316,
        0.0228736,
        0.0220268,
        0.0213436,
        0.0207117,
        0.0201667,
        0.0196873,
        0.0225075,
        0.0212462,
        0.0198553,
        0.0195401,
        0.0181243,
        0.0179214,
        0.0177303,
        0.0176645,
        0.0175212,
        0.0199823,
        0.0203374,
        0.0172818,
        0.0172773,
        0.0172604,
        0.0170437,
        0.0169311,
        0.0169958,
        0.016823,
        0.0167574,
        0.0172815,
        0.0173707,
        0.016862,
        0.0167755,
        0.0170335,
        0.0170143,
        0.0168045,
        0.0168302,
        0.0168094,
        0.0197702,
        0.0197742,
        0.0167607,
        0.0168439,
        0.0169085,
        0.0169273,
        0.0168739,
        0.0169563,
        0.0171197,
        0.017236,
        0.0184575,
        0.0180988,
        0.017419,
        0.0174879,
        0.017598,
        0.0178544,
        0.0182521,
        0.0184942,
        0.019005,
        0.0193857,
        0.0199891,
        0.0207097,
        0.0211338,
        0.0214112,
        0.0219594,
        0.0222995,
        0.0224479,
        0.0222636,
        0.0220208,
        0.0214619,
        0.0208127,
        0.0201729,
        0.0195727,
        0.0192278,
        0.0190564,
        0.0206128,
        0.0196088,
        0.0176039,
        0.0175086,
        0.0172524,
        0.0171696,
        0.0169292,
        0.0166545,
        0.0165291,
        0.0164473,
        0.016386,
        0.0162981,
        0.0162484,
        0.0161607,
        0.0160734,
        0.0160414,
        0.015921,
        0.0160712,
        0.0162295,
        0.0160878,
        0.0158971,
        0.0159595,
        0.015936,
        0.0159834,
        0.0161677,
        0.0162073,
        0.0162023,
        0.0162637,
        0.0161802,
        0.0162176,
        0.0163048,
        0.0166091,
        0.0165983,
        0.016635,
        0.0167591,
        0.0169948,
        0.017193,
        0.0173429,
        0.0174227,
        0.0173187,
        0.0184981,
        0.0176694,
        0.0167473,
        0.0166386,
        0.0165377,
        0.0163447,
        0.016056,
        0.0162224,
        0.015977,
        0.0158593,
        0.0159851,
        0.0157483,
        0.0156704,
        0.0158142,
        0.0158312,
        0.0158212,
        0.0155583,
        0.0155194,
        0.0154692,
        0.0155079,
        0.0156702,
        0.0157419,
        0.0155639,
        0.0155386,
        0.0155306,
        0.0156393,
        0.0154883,
        0.0155221,
        0.0155165,
        0.0154718,
        0.0154165,
        0.0155328,
        0.0155941,
        0.0159219,
        0.0158422,
        0.0158586,
        0.0159069,
        0.0162522,
        0.016584,
        0.0165693,
        0.0166307,
        0.0167027,
        0.0166503,
        0.0166243,
        0.0165838,
        0.0173608,
        0.0170918,
        0.0163104,
        0.0163717,
        0.0163839,
        0.0163665,
        0.0175642,
        0.0172076,
        0.0162671,
        0.0162221,
        0.0163523,
        0.016293,
        0.0162985,
        0.0163826,
        0.01633,
        0.0164421,
        0.0165847,
        0.0166381,
        0.0167538,
        0.0168342,
        0.0184794,
        0.0202395,
        0.0186182,
        0.0167642,
        0.0167347,
        0.0164055,
        0.0162471,
        0.0161599,
        0.0160271,
        0.0159646,
        0.0160259,
        0.0158377,
        0.0158079,
        0.0157011,
        0.0157173,
        0.0156304,
        0.015675,
        0.0157394,
        0.0158323,
        0.0157694,
        0.0157204,
        0.0156532,
        0.0158239,
        0.0157173,
        0.0156455,
        0.015682,
        0.0156898,
        0.0157705,
        0.0157185,
        0.0158047,
        0.0157652,
        0.0159099,
        0.0160765,
        0.0159139,
        0.015909,
        0.0159956,
        0.0162206,
        0.0164117,
        0.0164294,
        0.0162945,
        0.0162569,
        0.0163802,
        0.0191475,
        0.019137,
        0.0164559,
        0.0165487,
        0.0165609,
        0.0166334,
        0.0166723,
        0.0165747,
        0.0166843,
        0.0191263,
        0.0200965,
        0.0171296,
        0.0170356,
        0.0172284,
        0.0173798,
        0.0176942,
        0.017611,
        0.0176715,
        0.0176686,
        0.0175268,
        0.0174257,
        0.0171815,
        0.0170752,
        0.01699,
        0.0169635,
        0.0170225,
        0.0170013,
        0.0170208,
        0.0168832,
        0.0167219,
        0.0166152,
        0.0166228,
        0.0165469,
        0.0164778,
        0.0164075,
        0.0162864,
        0.0163051,
        0.0162789,
        0.0163043,
        0.0163082,
        0.0162659,
        0.0162295,
        0.0162214,
        0.0161389,
        0.016293,
        0.0162676,
        0.0163399,
        0.0162683,
        0.0162413,
        0.0174304,
        0.0174719,
        0.0162524,
        0.0161287,
        0.0162379,
        0.0164963,
        0.016323,
        0.0163398,
        0.0163385,
        0.0163616,
        0.0164426,
        0.0165509,
        0.0165499,
        0.0168101,
        0.0168987,
        0.0167489,
        0.0167714,
        0.0168758,
        0.0169753,
        0.016998,
        0.0170083,
        0.0171042,
        0.01708,
        0.0172177,
        0.0173714,
        0.0172079,
        0.0170269,
        0.0174797,
        0.0174783,
        0.0171643,
        0.0175252,
        0.0175468,
        0.0173249,
        0.0172898,
        0.0170659,
        0.0171322,
        0.0170777,
        0.017238,
        0.017121,
        0.0170566,
        0.016982,
        0.0169423,
        0.0168881,
        0.0169854,
        0.0172364,
        0.017419,
        0.0184616,
        0.0178981,
        0.0173628,
        0.017322,
        0.0173438,
        0.0171081,
        0.0172083,
        0.0171385,
        0.0170888,
        0.0170418,
        0.0170714,
        0.0190171,
        0.01896,
        0.0195543,
        0.0195335,
        0.0170342,
        0.0169143,
        0.0169581,
        0.0171215,
        0.0170141,
        0.0170835,
        0.0171269,
        0.0173281,
        0.0175974,
        0.0173129,
        0.0175444,
        0.0176595,
        0.0176392,
        0.017868,
        0.0179087,
        0.0210083,
        0.021062,
        0.0181249,
        0.0182984,
        0.0182746,
        0.0186136,
        0.0186597,
        0.0185607,
        0.0187063,
        0.0189617,
        0.0193178,
        0.0194127,
        0.0196379,
        0.0200229,
        0.0203387,
        0.0205598,
        0.0209847,
        0.0216946,
        0.0223097,
        0.0229771,
        0.0229426,
        0.022779,
        0.022589,
        0.0222508,
        0.0218255,
        0.0212521,
        0.0209439,
        0.0203805,
        0.0199297,
        0.0195521,
        0.0194789,
        0.0192713,
        0.019063,
        0.0189235,
        0.0186919,
        0.0184348,
        0.0182561,
        0.0181662,
        0.0183125,
        0.0181685,
        0.017851,
        0.0177968,
        0.0178415,
        0.0180357,
        0.0179251,
        0.0176903,
        0.0176479,
        0.0176473,
        0.0175195,
        0.0175636,
        0.0175529,
        0.0173989,
        0.0176427,
        0.0176449,
        0.0176194,
        0.0175814,
        0.0176783,
        0.0177571,
        0.017804,
        0.018115,
        0.0180274,
        0.0179077,
        0.017982,
        0.0179183,
        0.0179085,
        0.0179513,
        0.0181376,
        0.0182783,
        0.0181785,
        0.0183029,
        0.0184285,
        0.0185192,
        0.0185308,
        0.0194499,
        0.0193131,
        0.018816,
        0.0187774,
        0.0188486,
        0.0190266,
        0.0212213,
        0.0200739,
        0.0187393,
        0.018765,
        0.0187289,
        0.0188238,
        0.0187405,
        0.0186178,
        0.0186172,
        0.0186471,
        0.0189567,
        0.0189048,
        0.0186471,
        0.0187082,
        0.0185964,
        0.018561,
        0.018454,
        0.0186501,
        0.0185567,
        0.0186967,
        0.0190151,
        0.0190047,
        0.0190123,
        0.0192176,
        0.0195185,
        0.0196075,
        0.0194254,
        0.0193954,
        0.0194276,
        0.0193454,
        0.0203211,
        0.0201379,
        0.0194282,
        0.0194081,
        0.019328,
        0.0190545,
        0.0190389,
        0.0192154,
        0.0189702,
        0.018819,
        0.0188519,
        0.0189371,
        0.0189649,
        0.0190072,
        0.0187438,
        0.0187928,
        0.0188944,
        0.0190088,
        0.0191569,
        0.0194005,
        0.0192576,
        0.019311,
        0.0192036,
        0.0191985,
        0.0192268,
        0.0193557,
        0.019297,
        0.01925,
        0.0193639,
        0.0196228,
        0.0196478,
        0.0197219,
        0.0197181,
        0.0198031,
        0.0199661,
        0.0200652,
        0.020261,
        0.0202002,
        0.0203158,
        0.0204529,
        0.0204824,
        0.0203758,
        0.0203821,
        0.0202266,
        0.0200589,
        0.019978,
        0.0200074,
        0.0199234,
        0.0196767,
        0.0196661,
        0.0194887,
        0.0193983,
        0.0193356,
        0.0192645,
        0.0192796,
        0.0192349,
        0.0192342,
        0.0192672,
        0.0197302,
        0.0196992,
        0.0194623,
        0.0193671,
        0.0190824,
        0.0190648,
        0.0192025,
        0.0191714,
        0.0282336,
        0.0281227,
        0.0194598,
        0.0197479,
        0.0193921,
        0.0192918,
        0.0193417,
        0.0194242,
        0.0195199,
        0.0196761,
        0.0197059,
        0.0198477,
        0.0201658,
        0.0204555,
        0.0204571,
        0.0206688,
        0.0208963,
        0.0212672,
        0.0219724,
        0.0228346,
        0.0220345,
        0.0239143,
        0.024171,
        0.0205531,
        0.0206247,
        0.0205675,
        0.0208109,
        0.0206843,
        0.0212417,
        0.0210419,
        0.0207648,
        0.0209078,
        0.0211994,
        0.0212946,
        0.0214391,
        0.0220549,
        0.0214596,
        0.0212371,
        0.0212915,
        0.0214356,
        0.0212934,
        0.0210798,
        0.0209996,
        0.0208423,
        0.0212903,
        0.0212128,
        0.0207611,
        0.0205162,
        0.0206316,
        0.0203927,
        0.020302,
        0.0204138,
        0.0202578,
        0.02013,
        0.0201372,
        0.0200495,
        0.0199563,
        0.0199942,
        0.0198201,
        0.0198271,
        0.0197063,
        0.0198667,
        0.0198275,
        0.0196462,
        0.0198286,
        0.0198555,
        0.0197853,
        0.0199539,
        0.019868,
        0.0200037,
        0.0199911,
        0.0200889,
        0.0201911,
        0.0202339,
        0.0200611,
        0.0200773,
        0.0201076,
        0.020238,
        0.0203335,
        0.020597,
        0.0210101,
        0.0207491,
        0.0206172,
        0.0206012,
        0.0208355,
        0.0209004,
        0.0213456,
        0.0212716,
        0.0213818,
        0.0212842,
        0.0213215,
        0.0213275,
        0.0213969,
        0.0214091,
        0.0213471,
        0.0217951,
        0.0221316,
        0.024119,
        0.0239474,
        0.0218053,
        0.0216805,
        0.0216302,
        0.0218305,
        0.0221364,
        0.0223685,
        0.022394,
        0.0226296,
        0.022618,
        0.0224914,
        0.0222838,
        0.022339,
        0.0222536,
        0.0223603,
        0.0222327,
        0.0222006,
        0.0221125,
        0.0220073,
        0.0222665,
        0.0223975,
        0.022271,
        0.0222496,
        0.0224632,
        0.0225856,
        0.0226105,
        0.0229566,
        0.0228564,
        0.0228973,
        0.0265159,
        0.0268053,
        0.0234448,
        0.0241754,
        0.0241971,
        0.0242136,
        0.0243239,
        0.0248263,
        0.0256666,
        0.0268363,
        0.0286645,
        0.0304211,
        0.0320093,
        0.0329728,
        0.0333284,
        0.0329396,
        0.0314612,
        0.0300856,
        0.0288365,
        0.0277599,
        0.0267275,
        0.0265274,
        0.0259377,
        0.0259548,
        0.0258653,
        0.0262838,
        0.0257834,
        0.0257544,
        0.0261098,
        0.02643,
        0.026573,
        0.0263714,
        0.0265032,
        0.0270856,
        0.0275035,
        0.0279319,
        0.028187,
        0.0295715,
        0.029528,
        0.0297199,
        0.0306617,
        0.0316748,
        0.0330904,
        0.0340766,
        0.035603,
        0.0374992,
        0.0404591,
        0.0439571,
        0.0484457,
        0.0530613,
        0.0616067,
        0.0737146,
        0.0898467,
        0.110927,
        0.140643,
        0.170682,
        0.196941,
        0.220192,
        0.238795,
        0.193088,
        0.158395,
        0.141475,
        0.132098,
        0.133704,
        0.146463,
        0.206144,
        0.195201,
        0.133853,
        0.10317,
        0.0928447,
        0.0778185,
        0.0605595,
        0.0535283,
        0.0492315,
        0.0518507,
        0.0474992,
        0.0433667,
        0.0385959,
        0.0374613,
        0.0358835,
        0.0347655,
        0.0335978,
        0.0328869,
        0.0321151,
        0.0317458,
        0.0312643,
        0.0309391,
        0.0301038,
        0.0296078,
        0.0292105,
        0.0285621,
        0.0287426,
        0.0281597,
        0.027645,
        0.0273064,
        0.0266396,
        0.0267819,
        0.0267239,
        0.0266249,
        0.0263435,
        0.0287973,
        0.0287683,
        0.0258323,
        0.0257659,
        0.0256629,
        0.0255664,
        0.025455,
        0.0253135,
        0.0249925,
        0.0246811,
        0.0249397,
        0.0246229,
        0.0242326,
        0.024252,
        0.024301,
        0.0239918,
        0.0243337,
        0.0243929,
        0.0237434,
        0.0237157,
        0.0241584,
        0.0238649,
        0.0235263,
        0.023875,
        0.0239554,
        0.0234559,
        0.0237371,
        0.024139,
        0.0243915,
        0.0239061,
        0.0234172,
        0.0233986,
        0.0232508,
        0.0233375,
        0.023648,
        0.0236223,
        0.0235968,
        0.0234817,
        0.0234466,
        0.0235296,
        0.0237853,
        0.0237798,
        0.0237462,
        0.0238892,
        0.0240613,
        0.0239987,
        0.0242941,
        0.0250939,
        0.0269451,
        0.0284134,
        0.0243265,
        0.024437,
        0.0243056,
        0.024424,
        0.0245425,
        0.0250163,
        0.0250591,
        0.0249126,
        0.0251483,
        0.0249939,
        0.0245948,
        0.0249926,
        0.0249659,
        0.0251635,
        0.0293595,
        0.0291955,
        0.0249707,
        0.0251767,
        0.0253685,
        0.025464,
        0.0256052,
        0.0255185,
        0.027284,
        0.0277085,
        0.025532,
        0.0258332,
        0.0258134,
        0.0260871,
        0.0260767,
        0.0261024,
        0.0261757,
        0.0264212,
        0.0266634,
        0.0270945,
        0.0275819,
        0.0280882,
        0.0286799,
        0.02873,
        0.0295155,
        0.030244,
        0.0312274,
        0.0332611,
        0.0370531,
        0.0403921,
        0.0412908,
        0.0414244,
        0.0451753,
        0.0506036,
        0.057846,
        0.0652965,
        0.075237,
        0.0842304,
        0.0893065,
        0.0900762,
        0.0858015,
        0.0774232,
        0.0683694,
        0.0606587,
        0.0532207,
        0.0472062,
        0.0430963,
        0.04041,
        0.039844,
        0.0395094,
        0.0347013,
        0.0335277,
        0.0366822,
        0.0381161,
        0.0327215,
        null,
        0.0244362,
        0.0244298,
        0.0245615,
        0.0246932,
        0.0249483,
        0.0252828,
        0.0255062,
        0.0258785,
        0.0261663,
        0.0265462,
        0.0270971,
        0.0276022,
        0.0281141,
        0.0286466,
        0.0294456,
        0.0304121,
        0.0313513,
        0.0323476,
        0.0335507,
        0.0351807,
        0.037315,
        0.0418478,
        0.0452158,
        0.0467692,
        0.0519749,
        0.0591221,
        0.0693556,
        0.0845645,
        0.108099,
        0.145331,
        0.166887,
        0.118266,
        0.091433,
        0.0737123,
        0.0624002,
        0.054778,
        0.0494422,
        0.0452324,
        0.0419191,
        0.0387692,
        0.0363662,
        0.0343814,
        0.0327747,
        0.0312495,
        0.0300174,
        0.0290322,
        0.0281348,
        0.0274751,
        0.0269022,
        0.0263856,
        0.0260329,
        0.0256249,
        0.0251507,
        0.0249186,
        0.0247458,
        0.024606,
        0.024482,
        0.0244056,
        0.024234,
        0.0241566,
        0.0265648,
        0.0249522,
        0.0238689,
        0.0238937,
        0.0239467,
        0.0240957,
        0.0241573,
        0.0242207,
        0.0243826,
        0.0247032,
        0.0250151,
        0.0254409,
        0.0261745,
        0.027919,
        0.0287405,
        0.0292418,
        0.0309898,
        0.0333104,
        0.0366306,
        0.0435195,
        0.0508901,
        0.0596561,
        0.0775591,
        0.106916,
        0.158102,
        0.175811,
        0.117707,
        0.0836649,
        0.0628504,
        0.0505967,
        0.0429788,
        0.037672,
        0.0337959,
        0.0310567,
        0.0289184,
        0.0278734,
        0.0264778,
        0.025191,
        0.0243673,
        0.0237329,
        0.0247775,
        0.0243144,
        0.0222025,
        0.0221346,
        0.0218396,
        0.0216265,
        0.0215511,
        0.0215299,
        0.0214775,
        0.0213022,
        0.0210446,
        0.0207711,
        0.0205665,
        0.0201857,
        0.019888,
        0.0196412,
        0.0194777,
        0.019321,
        0.0191355,
        0.018969,
        0.0189466,
        0.018903,
        0.0187312,
        0.0186041,
        0.018458,
        0.0183214,
        0.0182006,
        0.0181567,
        0.0180984,
        0.017931,
        0.017937,
        0.0178866,
        0.0177606,
        0.0176957,
        0.0175986,
        0.0175961,
        0.0175883,
        0.0175392,
        0.0175476,
        0.0175069,
        0.0174809,
        0.0174579,
        0.0174081,
        0.0174133,
        0.0179583,
        0.0178053,
        0.0174648,
        0.0174851,
        0.017555,
        0.0175579,
        0.0175787,
        0.0175581,
        0.0175095,
        0.0175512,
        0.0175987,
        0.0175672,
        0.0178721,
        0.0180184,
        0.0176419,
        0.0176846,
        0.0177637,
        0.0177552,
        0.0177272,
        0.0177251,
        0.0175933,
        0.017497,
        0.0175142,
        0.0175953,
        0.0176212,
        0.0175584,
        0.0175111,
        0.0175899,
        0.0175048,
        0.020089,
        0.0214752,
        0.0183815,
        0.0173367,
        0.0172625,
        0.0172854,
        0.0172608,
        0.0172144,
        0.019877,
        0.0199181,
        0.0172128,
        0.0172873,
        0.0179778,
        0.0177283,
        0.0172964,
        0.0177347,
        0.0176379,
        0.0170948,
        0.0170513,
        0.0170769,
        0.0170623,
        0.0171209,
        0.0171862,
        0.0173119,
        0.0174425,
        0.0176867,
        0.017766,
        0.0177924,
        0.0178135,
        0.0177816,
        0.0176312,
        0.0173937,
        0.0174169,
        0.0173733,
        0.0172782,
        0.0173686,
        0.0176011,
        0.01784,
        0.018173,
        0.018413,
        0.0185853,
        0.0187874,
        0.018841,
        0.0188582,
        0.0185692,
        0.019496,
        0.0186485,
        0.017507,
        0.0174573,
        0.0173452,
        0.0171325,
        0.0170257,
        0.0168594,
        0.0168147,
        0.0167422,
        0.0167079,
        0.0166839,
        0.0167445,
        0.0167398,
        0.0166931,
        0.0166394,
        0.0165705,
        0.016578,
        0.0165721,
        0.0165409,
        0.0165155,
        0.0164455,
        0.016455,
        0.0163511,
        0.0163402,
        0.0183149,
        0.0186465,
        0.0165949,
        0.016238,
        0.0162536,
        0.0161904,
        0.016155,
        0.0161683,
        0.0161885,
        0.016293,
        0.016452,
        0.0164785,
        0.0163563,
        0.0161331,
        0.0160435,
        0.0160912,
        0.0162173,
        0.01621,
        0.0161234,
        0.016129,
        0.0161743,
        0.0162992,
        0.0163744,
        0.0164636,
        0.0163868,
        0.0165027,
        0.0168288,
        0.0169892,
        0.0169717,
        0.0169257,
        0.01657,
        0.0164671,
        0.0164699,
        0.0164069,
        0.0164797,
        0.016467,
        0.0164299,
        0.0165298,
        0.0164632,
        0.016725,
        0.0167283,
        0.0165599,
        0.0165137,
        0.0165467,
        0.0165486,
        0.016428,
        0.0163298,
        0.0162731,
        0.0162431,
        0.0161861,
        0.0160467,
        0.0159943,
        0.016012,
        0.0161485,
        0.0173245,
        0.0176446,
        0.018665,
        0.0184966,
        0.0160904,
        0.0160645,
        0.0160453,
        0.0160128,
        0.0159498,
        0.0158215,
        0.0157807,
        0.0158509,
        0.0157663,
        0.0157416,
        0.0178788,
        0.0177681,
        0.015827,
        0.0157658,
        0.0156858,
        0.0156354,
        0.0156257,
        0.0157252,
        0.0157976,
        0.015764,
        0.0157229,
        0.0156083,
        0.0157036,
        0.0156809,
        0.0156832,
        0.0157558,
        0.0157803,
        0.0157613,
        0.0158444,
        0.0159529,
        0.0161596,
        0.0162999,
        0.016547,
        0.016623,
        0.0167252,
        0.0172669,
        0.0174363,
        0.0169916,
        0.0167814,
        0.0164915,
        0.0162,
        0.0160912,
        0.0159895,
        0.0160268,
        0.0160487,
        0.0159391,
        0.0159564,
        0.0159309,
        0.0157816,
        0.0157548,
        0.015946,
        0.0161264,
        0.0164061,
        0.0165817,
        0.0166943,
        0.016396,
        0.0158705,
        0.0157874,
        0.0158291,
        0.0157299,
        0.0176298,
        0.0176964,
        0.0156864,
        0.0157716,
        0.0158801,
        0.0178751,
        0.0180662,
        0.0162576,
        0.0163928,
        0.0163987,
        0.0162569,
        0.0160071,
        0.0157573,
        0.0157312,
        0.0156846,
        0.0157376,
        0.0158005,
        0.0157917,
        0.0158153,
        0.0159241,
        0.016009,
        0.015758,
        0.0158751,
        0.0159233,
        0.0159462,
        0.0159571,
        0.0159476,
        0.0160067,
        0.016458,
        0.0164367,
        0.0162902,
        0.0160644,
        0.0164928,
        0.0161182,
        0.0156904,
        0.0157084,
        0.0157117,
        0.0163582,
        0.0163972,
        0.0158112,
        0.0158756,
        0.015957,
        0.0159341,
        0.0157671,
        0.0156614,
        0.0154812,
        0.0154534,
        0.0155976,
        0.015736,
        0.0160132,
        0.0164508,
        0.016829,
        0.0168246,
        0.0165103,
        0.0160239,
        0.0156783,
        0.0179305,
        0.0182341,
        0.0163442,
        0.0165264,
        0.0164373,
        0.0160895,
        0.015772,
        0.0156694,
        0.0157863,
        0.0161252,
        0.0161898,
        0.0162372,
        0.0160391,
        0.0159599,
        0.0158869,
        0.0159828,
        0.0160278,
        0.0160772,
        0.0159243,
        0.0157249,
        0.0156728,
        0.0156949,
        0.0159937,
        0.0162331,
        0.0162796,
        0.0162347,
        0.0160198,
        0.0158276,
        0.0157875,
        0.015828,
        0.0160386,
        0.0161573,
        0.0162037,
        0.0162421,
        0.0161641,
        0.0160888,
        0.0162776,
        0.0162875,
        0.0163061,
        0.0163026,
        0.0161878,
        0.0161386,
        0.0170535,
        0.0169021,
        0.0166389,
        0.0192174,
        0.0196418,
        0.0175537,
        0.0173309,
        0.0176458,
        0.0169914,
        0.0165219,
        0.0166612,
        0.0171989,
        0.0174776,
        0.0175993,
        0.0176125,
        0.0171813,
        0.0167579,
        0.0165605,
        0.0165316,
        0.0166149,
        0.0167583,
        0.0169507,
        0.0171125,
        0.0174174,
        0.0177909,
        0.0181401,
        0.0184343,
        0.0185613,
        0.018944,
        0.0194537,
        0.0204399,
        0.0220222,
        0.0236064,
        0.0250448,
        0.0265665,
        0.0292116,
        0.0312284,
        0.0325745,
        0.0363253,
        0.0404176,
        0.0458693,
        0.053638,
        0.0673475,
        0.0914064,
        0.135197,
        0.127955,
        0.0871585,
        0.0670406,
        0.0535173,
        0.0430477,
        0.0370019,
        0.032636,
        0.031214,
        0.0281015,
        0.0256767,
        0.0245692,
        0.0237249,
        0.0231997,
        0.0230244,
        0.0251368,
        0.0248123,
        0.0220468,
        0.021322,
        0.022957,
        0.0218757,
        0.0187733,
        0.0184576,
        0.0185448,
        0.0185313,
        0.0184475,
        0.0181095,
        0.0175962,
        0.0171497,
        0.0169593,
        0.0174758,
        0.0178676,
        0.0174093,
        0.0174589,
        0.0172416,
        0.0166442,
        0.0160699,
        0.0157397,
        0.015546,
        0.0153808,
        0.0153225,
        0.0155066,
        0.0156645,
        0.0159869,
        0.016202,
        0.0162889,
        0.0163566,
        0.0162434,
        0.0163715,
        0.0163476,
        0.016223,
        0.0162815,
        0.016388,
        0.0163401,
        0.0180603,
        0.0184215,
        0.0164393,
        0.0175167,
        0.0183241,
        0.0173165,
        0.0170777,
        0.0169673,
        0.0170827,
        0.0176424,
        0.0184873,
        0.0192557,
        0.0193293,
        0.0192432,
        0.0190028,
        0.0189643,
        0.0192194,
        0.0195008,
        0.0197399,
        0.019668,
        0.0196689,
        0.0196502,
        0.01934,
        0.0190621,
        0.0189356,
        0.0185447,
        0.0177461,
        0.0188174,
        0.0172207,
        0.0157947,
        0.0154096,
        0.0153699,
        0.0154453,
        0.0155847,
        0.0159439,
        0.016245,
        0.016567,
        0.0165516,
        0.0163956,
        0.0172209,
        0.0161059,
        0.0152764,
        0.0152299,
        0.0153241,
        0.0154886,
        0.0155052,
        0.0154298,
        0.0154786,
        0.0157426,
        0.0161247,
        0.0162492,
        0.016326,
        0.0182504,
        0.0173715,
        0.0155143,
        0.0158454,
        0.0162939,
        0.0164732,
        0.0164621,
        0.0161354,
        0.0160692,
        0.0163021,
        0.0167956,
        0.0173379,
        0.0177655,
        0.0177389,
        0.0177346,
        0.0175151,
        0.0168457,
        0.0162259,
        0.0157349,
        0.0156808,
        0.0155827,
        0.0155263,
        0.0153964,
        0.0152509,
        0.0153212,
        0.0154741,
        0.0155798,
        0.0156906,
        0.0154723,
        0.0151385,
        0.0163526,
        0.0162851,
        0.0147975,
        0.0146928,
        0.0158675,
        0.0159238,
        0.0153652,
        0.0155481,
        0.0178462,
        0.0177252,
        0.0162441,
        0.0162339,
        0.0162377,
        0.0162154,
        0.016234,
        0.0162059,
        0.0163206,
        0.0166511,
        0.0175916,
        0.0191161,
        0.0202956,
        0.0206972,
        0.0215505,
        0.020872,
        0.0182457,
        0.0187371,
        0.0191045,
        0.019652,
        0.0185947,
        0.0169221,
        0.0167237,
        0.0171746,
        0.0178726,
        0.0185464,
        0.0191737,
        0.0192113,
        0.0182679,
        0.0169781,
        0.0161782,
        0.0158406,
        0.0164062,
        0.0168842,
        0.0156759,
        0.0156644,
        0.0156814,
        0.0157971,
        0.015989,
        0.0162058,
        0.0165649,
        0.0171005,
        0.0203195,
        0.020617,
        0.0191828,
        0.0191579,
        0.0185023,
        0.0182026,
        0.0184885,
        0.0190773,
        0.0195512,
        0.0193886,
        0.0190349,
        0.018529,
        0.0182219,
        0.0182706,
        0.0188398,
        0.019528,
        0.0210542,
        0.0226552,
        0.0252101,
        0.0281,
        0.0315139,
        0.0366494,
        0.0423764,
        0.0478678,
        0.0516284,
        0.0562676,
        0.0587881,
        0.0583846,
        0.0613464,
        0.0650685,
        0.0692666,
        0.0734476,
        0.0745992,
        0.0713113,
        0.063948,
        0.0579616,
        0.0544776,
        0.0530501,
        0.0517602,
        0.0490376,
        0.0480647,
        0.0468783,
        0.045978,
        0.0464681,
        0.0485514,
        0.0499213,
        0.0495838,
        0.0471806,
        0.0453099,
        0.04427,
        0.0437654,
        0.0428858,
        0.0405617,
        0.0375043,
        0.0359903,
        0.0354882,
        0.0354059,
        0.0347797,
        0.0348857,
        0.0350915,
        0.0354593,
        0.0395989,
        0.0381688,
        0.034047,
        0.0312748,
        0.0290687,
        0.028658,
        0.0295399,
        0.031571,
        0.0342908,
        0.0362641,
        0.0360382,
        0.0339272,
        0.0312447,
        0.0293504,
        0.0276954,
        0.0277267,
        0.0266831,
        0.0245428,
        0.0234333,
        0.0254445,
        0.0249508,
        0.022511,
        0.0228237,
        0.0232342,
        0.0239678,
        0.0250519,
        0.0262671,
        0.0272593,
        0.0273998,
        0.0271265,
        0.0261176,
        0.0255867,
        0.0259373,
        0.0269236,
        0.0280588,
        0.0284839,
        0.0278239,
        0.0260505,
        0.0233339,
        0.0219217,
        0.0214269,
        0.0214952,
        0.0213848,
        0.0208328,
        0.0201746,
        0.0197388,
        0.0197128,
        0.0196889,
        0.0197472,
        0.0197618,
        0.0197809,
        0.019833,
        0.0197589,
        0.0197285,
        0.0194616,
        0.0193288,
        0.0210511,
        0.0210636,
        0.0208523,
        0.020865,
        0.0198571,
        0.0188258,
        0.018473,
        0.0222306,
        0.0231925,
        0.0206196,
        0.0216021,
        0.0218218,
        0.0209146,
        0.0196842,
        0.0189071,
        0.0183664,
        0.0182378,
        0.0186715,
        0.0192348,
        0.0197264,
        0.0201636,
        0.0202512,
        0.0202302,
        0.0199735,
        0.0193242,
        0.0181605,
        0.0172393,
        0.0170125,
        0.0175396,
        0.0182801,
        0.019001,
        0.0212717,
        0.0200222,
        0.018506,
        0.0175692,
        0.0169393,
        0.016811,
        0.0169426,
        0.01702,
        0.0169378,
        0.016569,
        0.0163242,
        0.016323,
        0.016691,
        0.0174895,
        0.0191161,
        0.0213477,
        0.0235785,
        0.0246745,
        0.0238966,
        0.0223598,
        0.0207157,
        0.0199848,
        0.0211853,
        0.0229529,
        0.0240652,
        0.0236813,
        0.0214896,
        0.0191824,
        0.0175345,
        0.0168017,
        0.0165803,
        0.0164646,
        0.0165662,
        0.0167451,
        0.0175388,
        0.0187027,
        0.0201668,
        0.0210461,
        0.0203453,
        0.0185289,
        0.0174225,
        0.0172107,
        0.0174277,
        0.0177053,
        0.017495,
        0.017035,
        0.0166782,
        0.0166536,
        0.0167686,
        0.0169115,
        0.0172126,
        0.0179067,
        0.0190782,
        0.0205086,
        0.0209846,
        0.0200326,
        0.0189673,
        0.0175975,
        0.016177,
        0.0158073,
        0.015753,
        0.0158036,
        0.0158923,
        0.0159817,
        0.0162852,
        0.0166496,
        0.0172896,
        0.0186977,
        0.0209341,
        0.0233655,
        0.0242665,
        0.0225176,
        0.0198051,
        0.0180064,
        0.0174209,
        0.0171911,
        0.0170356,
        0.0171273,
        0.0174262,
        0.0176887,
        0.018133,
        0.0210724,
        0.0225203,
        0.0212509,
        0.0224507,
        0.0227499,
        0.0226434,
        0.0238889,
        0.0259739,
        0.0287505,
        0.0305799,
        0.0298561,
        0.0282652,
        0.0272902,
        0.0295647,
        0.0341712,
        0.0394115,
        0.0467115,
        0.0490562,
        0.0515973,
        0.0555476,
        0.0647082,
        0.0819137,
        0.109704,
        0.166065,
        0.150048,
        0.0998014,
        0.0721542,
        0.0574376,
        0.0466466,
        0.0404218,
        0.0363471,
        0.0336353,
        0.0334369,
        0.034047,
        0.0333871,
        0.0327735,
        0.0286702,
        0.0250885,
        0.0233485,
        0.0223442,
        0.0217669,
        0.0224911,
        0.0239695,
        0.0253915,
        0.0259434,
        0.0260442,
        0.0257791,
        0.0264398,
        0.0272383,
        0.0274628,
        0.0292718,
        0.0300392,
        0.0262196,
        0.0234378,
        0.0256611,
        0.0258391,
        0.025295,
        0.0235161,
        0.0208006,
        0.0188143,
        0.0181232,
        0.0179058,
        0.0173392,
        0.0170656,
        0.0170396,
        0.0170902,
        0.0171353,
        0.0171336,
        0.0171126,
        0.0172333,
        0.0167912,
        0.0173404,
        0.0181388,
        0.0164644,
        0.0165202,
        0.0165673,
        0.0166787,
        0.0169809,
        0.0178294,
        0.0193219,
        0.0205804,
        0.0216448,
        0.0219817,
        0.0213296,
        0.0210434,
        0.0215887,
        0.0220425,
        0.0211289,
        0.0191436,
        0.0173726,
        0.016532,
        0.0162411,
        0.0163264,
        0.0167595,
        0.0177944,
        0.0200365,
        0.02373,
        0.0291382,
        0.0333538,
        0.0331771,
        0.0300955,
        0.0269364,
        0.0246012,
        0.0232088,
        0.023414,
        0.0248387,
        0.0263981,
        0.0265496,
        0.0253154,
        0.0233516,
        0.0209808,
        0.0186269,
        0.0172394,
        0.0167285,
        0.0162895,
        0.0162957,
        0.01627,
        0.0161818,
        0.0161191,
        0.0160674,
        0.0159491,
        0.0160087,
        0.0161439,
        0.0162584,
        0.0161579,
        0.0161447,
        0.016104,
        0.0162227,
        0.0159826,
        0.0160596,
        0.016158,
        0.0159569,
        0.0159956,
        0.0162618,
        0.0170458,
        0.0217757,
        0.0254209,
        0.0222075,
        0.0207095,
        0.019138,
        0.0173568,
        0.016546,
        0.0162822,
        0.0162401,
        0.0163429,
        0.0165475,
        0.0170027,
        0.0174085,
        0.0180658,
        0.0192329,
        0.0214835,
        0.0264211,
        0.0304804,
        0.0318046,
        0.0298624,
        0.0262543,
        0.023042,
        0.0201793,
        0.0178829,
        0.0164981,
        0.017193,
        0.0170899,
        0.0154755,
        0.0153117,
        0.0154217,
        0.0156693,
        0.0157476,
        0.0157067,
        0.0156785,
        0.0153665,
        0.0152239,
        0.0152144,
        0.0152667,
        0.0154429,
        0.0154894,
        0.0155741,
        0.0157129,
        0.0156811,
        0.01698,
        0.0169489,
        0.0158678,
        0.016043,
        0.0163866,
        0.0168898,
        0.0178211,
        0.0198282,
        0.0241475,
        0.0284593,
        0.0302181,
        0.0289828,
        0.024419,
        0.0209332,
        0.0196847,
        0.0201605,
        0.0218864,
        0.0241611,
        0.0254552,
        0.0274618,
        0.0244021,
        0.0197443,
        0.0209244,
        0.0194425,
        0.0180445,
        0.0188634,
        0.0208521,
        0.0241736,
        0.0285091,
        0.0321712,
        0.0321307,
        0.0289161,
        0.0260678,
        0.0252308,
        0.0250918,
        0.0239601,
        0.0216118,
        0.0205077,
        0.0210426,
        0.0221806,
        0.0228605,
        0.0218522,
        0.0199188,
        0.0186978,
        0.018779,
        0.0200647,
        0.0218921,
        0.0234743,
        0.0234684,
        0.0219485,
        0.0202562,
        0.0191631,
        0.0191711,
        0.0193938,
        0.0195743,
        0.0194659,
        0.0201651,
        0.0202678,
        0.0180078,
        0.01756,
        0.0172693,
        0.0170393,
        0.0167922,
        0.0166304,
        0.0166122,
        0.0167083,
        0.0178448,
        0.0174684,
        0.0169525,
        0.0169017,
        0.0166371,
        0.016802,
        0.0172582,
        0.0177205,
        0.017913,
        0.0175599,
        0.0170681,
        0.0188256,
        0.0190181,
        0.0167871,
        0.0171574,
        0.0183137,
        0.0200456,
        0.0223986,
        0.0245745,
        0.0254396,
        0.024512,
        0.0228049,
        0.0213556,
        0.0195437,
        0.0180658,
        0.0175572,
        0.0179898,
        0.0192451,
        0.0210615,
        0.0227071,
        0.0232603,
        0.0221544,
        0.0207406,
        0.0208285,
        0.0232672,
        0.0276517,
        0.0327265,
        0.034269,
        0.0300771,
        0.024478,
        0.0205414,
        0.0184274,
        0.017605,
        0.0169922,
        0.0167713,
        0.0170749,
        0.0172211,
        0.0167626,
        0.0168027,
        0.0167542,
        0.0168438,
        0.0169259,
        0.0169139,
        0.0170131,
        0.0173029,
        0.0175937,
        0.0181334,
        0.0192396,
        0.0210333,
        0.0244141,
        0.02907,
        0.0340028,
        0.0349816,
        0.031061,
        0.026024,
        0.0237333,
        0.0222523,
        0.0220479,
        0.0223291,
        0.0241211,
        0.0271072,
        0.0309804,
        0.0353215,
        0.0375666,
        0.0400938,
        0.0434155,
        0.045002,
        0.0423623,
        0.0378845,
        0.0341692,
        0.03191,
        0.0303897,
        0.0281567,
        0.0259704,
        0.025832,
        0.0267844,
        0.0280267,
        0.0298182,
        0.0312622,
        0.0335638,
        0.0367496,
        0.0415109,
        0.0488162,
        0.058579,
        0.069156,
        0.0757179,
        0.0794315,
        0.0896041,
        0.111116,
        0.140701,
        0.162249,
        0.158403,
        0.130112,
        0.104777,
        0.0871413,
        0.0716587,
        0.0603189,
        0.0518864,
        0.0455116,
        0.0405994,
        0.0368167,
        0.0337571,
        0.0315206,
        0.0294832,
        0.0279228,
        0.0267167,
        0.0258632,
        0.0250049,
        0.0245729,
        0.0243837,
        0.0246191,
        0.0245704,
        0.0242408,
        0.0234331,
        0.0222889,
        0.0214656,
        0.0212045,
        0.021011,
        0.0209981,
        0.021263,
        0.0221192,
        0.0234494,
        0.025981,
        0.0292379,
        0.0331853,
        0.0363579,
        0.036847,
        0.0396277,
        0.0334913,
        0.0286674,
        0.0276676,
        0.0270152,
        0.0259271,
        0.0235041,
        0.0215264,
        0.0205273,
        0.0204581,
        0.0202812,
        0.0203694,
        0.0203002,
        0.0200557,
        0.0209436,
        0.0225301,
        0.0245104,
        0.0285092,
        0.0304274,
        0.0265077,
        0.023714,
        0.0220799,
        0.0216482,
        0.0223569,
        0.0234794,
        0.0247805,
        0.0256364,
        0.0262241,
        0.0278708,
        0.029347,
        0.0315501,
        0.0389955,
        0.043453,
        0.0441464,
        0.0498665,
        0.0569084,
        0.0638351,
        0.0675855,
        0.0675837,
        0.0634623,
        0.0569551,
        0.0540058,
        0.0563372,
        0.060189,
        0.0623128,
        0.0587612,
        0.0533184,
        0.0491937,
        0.045662,
        0.0448707,
        0.045638,
        0.0441708,
        0.040619,
        0.0361101,
        0.0318083,
        0.0290545,
        0.0285785,
        0.0290662,
        0.0287366,
        0.0285087,
        0.0274669,
        0.0248513,
        0.0227975,
        0.0223893,
        0.0231803,
        0.0244899,
        0.0263746,
        0.0278966,
        0.0271225,
        0.0245592,
        0.0225614,
        0.021712,
        0.0215938,
        0.0215241,
        0.0212333,
        0.021121,
        0.0208826,
        0.0209433,
        0.0211377,
        0.0216353,
        0.0260072,
        0.0277259,
        0.0262854,
        0.0295538,
        0.0321075,
        0.0325995,
        0.0303306,
        0.0277548,
        0.0267065,
        0.0269127,
        0.0279348,
        0.0293613,
        0.0316079,
        0.03429,
        0.0374499,
        0.0415473,
        0.0472734,
        0.056625,
        0.070287,
        0.0939668,
        0.138525,
        0.185186,
        0.143194,
        0.117455,
        0.0872564,
        0.0636051,
        0.0547491,
        0.049787,
        0.0471495,
        0.0450191,
        0.0439308,
        0.0417456,
        0.0410066,
        0.0387716,
        0.0340062,
        0.030064,
        0.0270828,
        0.0258383,
        0.0257094,
        0.0260921,
        0.0270712,
        0.0290366,
        0.030937,
        0.030715,
        0.0285629,
        0.0257943,
        0.0244711,
        0.0237234,
        0.023319,
        0.0226755,
        0.0222064,
        0.0239678,
        0.0223938,
        0.0210744,
        0.0210398,
        0.0208849,
        0.0211545,
        0.022337,
        0.0241598,
        0.0274177,
        0.0315374,
        0.0363164,
        0.0383752,
        0.0373841,
        0.0343377,
        0.0303968,
        0.0257205,
        0.0220188,
        0.0204384,
        0.0211799,
        0.0212339,
        0.0199679,
        0.0200466,
        0.0201,
        0.0202934,
        0.020215,
        0.0218465,
        0.021688,
        0.0212266,
        0.0219996,
        0.0229014,
        0.0231115,
        0.0232637,
        0.0229126,
        0.0227394,
        0.0234468,
        0.0286431,
        0.0328343,
        0.0359979,
        0.0433607,
        0.0471231,
        0.0455982,
        0.0445994,
        0.0483532,
        0.0638527,
        0.0655494,
        0.0525009,
        0.0484367,
        0.0393691,
        0.0314636,
        0.0274804,
        0.0243071,
        0.0225681,
        0.0220656,
        0.0217303,
        0.0220211,
        0.0229022,
        0.0244038,
        0.0266439,
        0.0283624,
        0.0289202,
        0.0274942,
        0.0252523,
        0.0241122,
        0.0237952,
        0.0239713,
        0.0243579,
        0.0245001,
        0.024139,
        0.0237684,
        0.0237563,
        0.0238248,
        0.0238311,
        0.0241404,
        0.0242286,
        0.0245142,
        0.0248936,
        0.0264949,
        0.0298062,
        0.0349142,
        0.0386112,
        0.0404536,
        0.0384048,
        0.0344532,
        0.031706,
        0.0296084,
        0.0279984,
        0.0267796,
        0.0264517,
        0.0268172,
        0.0286714,
        0.031419,
        0.0341709,
        0.0345698,
        0.0306412,
        0.02748,
        0.0256748,
        0.0248066,
        0.0246909,
        0.0240431,
        0.0230734,
        0.0230049,
        0.0239036,
        0.0258748,
        0.0289573,
        0.0320366,
        0.0341347,
        0.0340578,
        0.0317164,
        0.0305161,
        0.0305459,
        0.0305105,
        0.0298273,
        0.0301451,
        0.0317169,
        0.0337782,
        0.0355409,
        0.0341001,
        0.0314647,
        0.0285178,
        0.0265121,
        0.0250348,
        0.0244176,
        0.0236833,
        0.0231913,
        0.0242604,
        0.0263179,
        0.0274223,
        0.0297207,
        0.0314547,
        0.032175,
        0.0317289,
        0.0324147,
        0.0341815,
        0.0342901,
        0.0309293,
        0.0262096,
        0.0232433,
        0.0213985,
        0.020823,
        0.0204312,
        0.0203996,
        0.0210507,
        0.0230638,
        0.0220577,
        0.0202838,
        0.0223675,
        0.0225418,
        0.0224639,
        0.0249728,
        0.0276476,
        0.029123,
        0.0274295,
        0.0243975,
        0.022041,
        0.0210585,
        0.0205736,
        0.0204768,
        0.0207722,
        0.0207786,
        0.0204565,
        0.0202027,
        0.0202977,
        0.0208707,
        0.0219121,
        0.0229882,
        0.024478,
        0.0251817,
        0.0242787,
        0.0231465,
        0.0228195,
        0.0234046,
        0.0243846,
        0.0265083,
        0.0305622,
        0.0343983,
        0.0387427,
        0.0399037,
        0.0372702,
        0.034693,
        0.0323194,
        0.0319223,
        0.0349,
        0.0423472,
        0.0604558,
        0.0718728,
        0.0579355,
        0.0471639,
        0.0369189,
        0.0297688,
        0.0263648,
        0.0247507,
        0.0238943,
        0.0229936,
        0.0229215,
        0.0230258,
        0.0238405,
        0.0254897,
        0.0284105,
        0.0325728,
        0.0373613,
        0.0412523,
        0.0413817,
        0.0395247,
        0.036215,
        0.0314436,
        0.027621,
        0.0258053,
        0.0253785,
        0.0247329,
        0.0247798,
        0.0250759,
        0.0250095,
        0.0251679,
        0.0257719,
        0.0257733,
        0.0258417,
        0.0271069,
        0.0285622,
        0.0317012,
        0.0367065,
        0.0414932,
        0.0453183,
        0.0447197,
        0.0406374,
        0.0355975,
        0.0312838,
        0.0282111,
        0.0248518,
        0.0235515,
        0.0235309,
        0.0235749,
        0.0249955,
        0.0263138,
        0.024446,
        0.0254095,
        0.0263662,
        0.0271153,
        0.0272962,
        0.0321159,
        0.0315186,
        0.0265218,
        0.0273922,
        0.0281284,
        0.0285885,
        0.0294538,
        0.030926,
        0.0376195,
        0.0385672,
        0.0392512,
        0.0408067,
        0.0406838,
        0.0403505,
        0.0432467,
        0.0491673,
        0.0613042,
        0.0776025,
        0.0956771,
        0.102017,
        0.0966294,
        0.0933773,
        0.0939546,
        0.0941802,
        0.0882088,
        0.0771176,
        0.0624196,
        0.0521157,
        0.0466661,
        0.0434948,
        0.0423064,
        0.0431719,
        0.0463316,
        0.050966,
        0.0542998,
        0.0528444,
        0.0468312,
        0.0401877,
        0.0358247,
        0.0329584,
        0.0310498,
        0.0302291,
        0.0292921,
        0.0279298,
        0.0271289,
        0.0263323,
        0.0251702,
        0.0246702,
        0.0244877,
        0.0246365,
        0.024703,
        0.0246077,
        0.0241665,
        0.0238353,
        0.0235161,
        0.0234715,
        0.0236908,
        0.0251449,
        0.027513,
        0.0303123,
        0.0333076,
        0.0335493,
        0.0300787,
        0.0269443,
        0.0251691,
        0.0247276,
        0.0250187,
        0.0257151,
        0.0270014,
        0.0287988,
        0.0296875,
        0.0298828,
        0.0292269,
        0.027626,
        0.0264362,
        0.0252708,
        0.0247868,
        0.024121,
        0.0241846,
        0.0251813,
        0.0274365,
        0.035006,
        0.039919,
        0.0392744,
        0.0384931,
        0.0327427,
        0.0279937,
        0.0254971,
        0.0246203,
        0.0250819,
        0.0264274,
        0.0287452,
        0.0303282,
        0.0304141,
        0.0318779,
        0.0306246,
        0.0285977,
        0.0327051,
        0.0404324,
        0.0513245,
        0.0584617,
        0.0508888,
        0.0392653,
        0.0308905,
        0.0263529,
        0.024839,
        0.0250663,
        0.0268755,
        0.0300509,
        0.0335171,
        0.0354154,
        0.0302336,
        0.0266543,
        0.0245886,
        0.0235251,
        0.0239226,
        0.0244924,
        0.0264227,
        0.0294665,
        0.0339176,
        0.0379684,
        0.0385357,
        0.0343612,
        0.0296239,
        0.0273843,
        0.0271948,
        0.0279795,
        0.0309656,
        0.0353541,
        0.0412836,
        0.0403304,
        0.0373798,
        0.0331525,
        0.0293222,
        0.0293995,
        0.0307057,
        0.0328075,
        0.0354688,
        0.0364504,
        0.0340534,
        0.0296039,
        0.026651,
        0.0253306,
        0.0253101,
        0.0260765,
        0.0275137,
        0.029119,
        0.0304247,
        0.0301557,
        0.0288726,
        0.0270137,
        0.0257106,
        0.0247775,
        0.024132,
        0.0244474,
        0.025178,
        0.0267531,
        0.028539,
        0.029736,
        0.0301341,
        0.0296471,
        0.0305632,
        0.034108,
        0.0388682,
        0.0410403,
        0.0415035,
        0.0374262,
        0.0347709,
        0.0338173,
        0.0327237,
        0.0299541,
        0.0278677,
        0.0277828,
        0.0293115,
        0.0320737,
        0.0358422,
        0.0382308,
        0.0366678,
        0.0324319,
        0.0297081,
        0.0281029,
        0.0276334,
        0.0281709,
        0.026726,
        0.0288281,
        0.03206,
        0.0355778,
        0.0383314,
        0.0380687,
        0.0343799,
        0.030803,
        0.0290419,
        0.0284282,
        0.0288811,
        0.0294241,
        0.0297887,
        0.0304751,
        0.0309518,
        0.03275,
        0.0341482,
        0.0366867,
        0.0391706,
        0.0419687,
        0.0448545,
        0.0469225,
        0.0492952,
        0.0539032,
        0.0588323,
        0.0664376,
        0.0777725,
        0.0957409,
        0.122227,
        0.16569,
        0.187489,
        0.146823,
        0.122937,
        0.120316,
        0.11446,
        0.086531,
        0.0748755,
        0.0646374,
        0.0621791,
        0.0569873,
        0.0584687,
        0.0586536,
        0.0542633,
        0.0527031,
        0.0530901,
        0.0550887,
        0.0539735,
        0.0476877,
        0.0422714,
        0.0394225,
        0.0377918,
        0.0398896,
        0.0415083,
        0.0408359,
        0.0367779,
        0.0331253,
        0.031279,
        0.0305593,
        0.0297103,
        0.0297108,
        0.0296804,
        0.0305027,
        0.0325612,
        0.0359348,
        0.0406147,
        0.045609,
        0.0471605,
        0.0434671,
        0.0381423,
        0.0357571,
        0.0377525,
        0.0451689,
        0.0580227,
        0.0751765,
        0.0840714,
        0.0676767,
        0.0490713,
        0.0389769,
        0.0351132,
        0.0334479,
        0.0327659,
        0.0318068,
        0.0304761,
        0.029527,
        0.0292555,
        0.0279375,
        0.0276377,
        0.0273126,
        0.0274138,
        0.0275505,
        0.0297066,
        0.0298728,
        0.0285359,
        0.0282604,
        0.0284403,
        0.0288205,
        0.0274081,
        0.0265489,
        0.0267296,
        0.0267005,
        0.0273024,
        0.028095,
        0.0305154,
        0.0340094,
        0.0384315,
        0.0449284,
        0.0511243,
        0.052944,
        0.0528881,
        0.0495953,
        0.0422725,
        0.034852,
        0.0302843,
        0.028113,
        0.0276823,
        0.027183,
        0.027546,
        0.0287146,
        0.0316862,
        0.0375118,
        0.0453463,
        0.0523308,
        0.0518189,
        0.0434968,
        0.0363318,
        0.0320902,
        null,
        0.023935,
        0.0276039,
        0.0269661,
        0.0220212,
        0.0215138,
        0.0210658,
        0.0208966,
        0.0208769,
        0.0208462,
        0.0233534,
        0.0232351,
        0.0212091,
        0.0223793,
        0.0246938,
        0.02796,
        0.0306309,
        0.0306679,
        0.0277218,
        0.0247782,
        0.0236163,
        0.0237035,
        0.0239283,
        0.0239887,
        0.0235114,
        0.0223791,
        0.0214491,
        0.0212709,
        0.0213192,
        0.0213816,
        0.0211588,
        0.0208824,
        0.0209721,
        0.0218045,
        0.0240197,
        0.0281155,
        0.035075,
        0.038696,
        0.0339451,
        0.0278009,
        0.0234905,
        0.0216976,
        0.0210863,
        0.0213575,
        0.0224889,
        0.0246379,
        0.027899,
        0.0311145,
        0.0313712,
        0.0281862,
        0.0246041,
        0.0233174,
        0.0230243,
        0.022852,
        0.023753,
        0.0252034,
        0.0271833,
        0.0301094,
        0.0336198,
        0.0354011,
        0.0339712,
        0.0296135,
        0.0262589,
        0.0254501,
        0.0255651,
        0.0266834,
        0.0276163,
        0.0288753,
        0.0313804,
        0.0343057,
        0.0372475,
        0.0387804,
        0.0377575,
        0.0351671,
        0.0327959,
        0.0309995,
        0.0304497,
        0.0320463,
        0.0349615,
        0.0376984,
        0.0375691,
        0.0339474,
        0.0302967,
        0.0287092,
        0.0288366,
        0.0298545,
        0.0308753,
        0.0316356,
        0.0322543,
        0.0333109,
        0.0354234,
        0.0383259,
        0.0406493,
        0.0512979,
        0.0504203,
        0.0406628,
        0.0439255,
        0.0488075,
        0.0502676,
        0.0457076,
        0.0382571,
        0.0333051,
        0.0295201,
        0.0262908,
        0.024813,
        0.0241755,
        0.0245923,
        0.0262699,
        0.0296846,
        0.034376,
        0.0370142,
        0.0346444,
        0.0295846,
        0.0260564,
        0.0244003,
        0.0238552,
        0.0235179,
        0.023089,
        0.0228481,
        0.0229527,
        0.0228928,
        0.0229632,
        0.0227555,
        0.0226113,
        0.0224465,
        0.0223303,
        0.0221536,
        0.0222561,
        0.0224567,
        0.0227241,
        0.0231048,
        0.0238424,
        0.0251956,
        0.0278169,
        0.032289,
        0.0371635,
        0.0383836,
        0.0347429,
        0.0297556,
        0.0261735,
        0.0246908,
        0.0244513,
        0.0247636,
        0.0253143,
        0.0259986,
        0.0268846,
        0.0283647,
        0.0299423,
        0.0323673,
        0.0382518,
        0.0404934,
        0.0396478,
        0.0447718,
        0.0524446,
        0.063509,
        0.0811369,
        0.110384,
        0.167736,
        0.156017,
        0.117053,
        0.0973052,
        0.0858071,
        0.076987,
        0.0663828,
        0.0551854,
        0.0465666,
        0.0403488,
        0.0365576,
        0.0342313,
        0.0326279,
        0.0308646,
        0.0295917,
        0.0288211,
        0.0283582,
        0.0280292,
        0.0280076,
        0.0287918,
        0.0299819,
        0.0317472,
        0.0332029,
        0.0330747,
        0.0317,
        0.0312572,
        0.0331268,
        0.0364477,
        0.0395231,
        0.0407585,
        0.0405741,
        0.0405793,
        0.0397806,
        0.0363243,
        0.0323397,
        0.0300556,
        0.0295583,
        0.0297373,
        0.0302351,
        0.0310555,
        0.0319272,
        0.0330561,
        0.0343344,
        0.036036,
        0.0384099,
        0.0422277,
        0.0477532,
        0.0548299,
        0.0631716,
        0.0724106,
        0.0829102,
        0.0954136,
        0.106709,
        0.117469,
        0.133406,
        0.168018,
        0.230828,
        0.194551,
        0.148681,
        0.117915,
        0.100218,
        0.0905401,
        0.0858527,
        0.0798717,
        0.0706351,
        0.0615189,
        0.0548612,
        0.0515478,
        0.048854,
        0.0441115,
        0.0396198,
        0.0373846,
        0.0383673,
        0.0405639,
        0.0421355,
        0.0406662,
        0.0362735,
        0.0326793,
        0.0308933,
        0.0301225,
        0.0300172,
        0.0303446,
        0.0307889,
        0.0312565,
        0.0315546,
        0.0313179,
        0.0307736,
        0.0307383,
        0.0319537,
        0.034395,
        0.0367974,
        0.0377468,
        0.0358314,
        0.0328541,
        0.0313539,
        0.0314434,
        0.032006,
        0.0326191,
        0.0334893,
        0.0352202,
        0.0374015,
        0.0400629,
        0.044129,
        0.0497478,
        0.0579491,
        0.069505,
        0.0877231,
        0.117153,
        0.158107,
        0.167882,
        0.126741,
        0.100395,
        0.0805526,
        0.0665434,
        0.0545594,
        0.0453379,
        0.0393469,
        0.035812,
        0.0337919,
        0.0399947,
        0.0363814,
        0.0292559,
        0.0281389,
        0.0271561,
        0.0258871,
        0.0247999,
        0.0238249,
        0.022859,
        0.0220324,
        0.0214152,
        0.0209593,
        0.0205878,
        0.0203719,
        0.0200565,
        0.0197196,
        0.0194968,
        0.0192709,
        0.0191004,
        0.0190544,
        0.018944,
        0.0189069,
        0.0188517,
        0.0188193,
        0.0191126,
        0.0196829,
        0.0205106,
        0.0212899,
        0.0216478,
        0.0210028,
        0.0201028,
        0.0196947,
        0.0198483,
        0.0203033,
        0.0209165,
        0.0216256,
        0.0226279,
        0.0238239,
        0.0248705,
        0.0253639,
        0.0249642,
        0.0241628,
        0.0230056,
        0.022105,
        0.021329,
        0.0208041,
        0.0204246,
        0.0204253,
        0.0211836,
        0.0229365,
        0.0253415,
        0.0281937,
        0.0296864,
        0.028637,
        0.0268092,
        0.0244535,
        0.0220388,
        0.0205343,
        0.0196444,
        0.0189675,
        0.0184518,
        0.0180765,
        0.0178427,
        0.0176712,
        0.0174868,
        0.0173644,
        0.0172771,
        0.017052,
        0.0169601,
        0.0168976,
        0.0168127,
        0.0169002,
        0.0167486,
        0.0167229,
        0.0169411,
        0.0175165,
        0.0182352,
        0.0189424,
        0.0204877,
        0.0200543,
        0.0179772,
        0.0174576,
        0.0178067,
        0.0178003,
        0.017134,
        0.0170204,
        0.0169721,
        0.0170417,
        0.017127,
        0.0171624,
        0.0171715,
        0.0173711,
        0.0175463,
        0.017864,
        0.0185545,
        0.0190848,
        0.0192013,
        0.0198822,
        0.0207024,
        0.0216493,
        0.0228163,
        0.0242608,
        0.0262777,
        0.0285811,
        0.0312385,
        0.0334439,
        0.0337347,
        0.0316227,
        0.0290394,
        0.0266071,
        0.0246738,
        0.0231657,
        0.022305,
        0.0223121,
        0.023123,
        0.0240687,
        0.0246361,
        0.0243362,
        0.0236021,
        0.0232729,
        0.0233562,
        0.022477,
        0.0202847,
        0.0183727,
        0.0174861,
        0.0170958,
        0.0169042,
        0.0167474,
        0.016698,
        0.0167509,
        0.0166985,
        0.0166938,
        0.0166275,
        0.0164825,
        0.0163748,
        0.0164065,
        0.0168152,
        0.0174501,
        0.0182918,
        0.0189186,
        0.0186594,
        0.0177294,
        0.0169686,
        0.0167155,
        0.0165666,
        0.0165225,
        0.0165751,
        0.0166114,
        0.0165774,
        0.0167096,
        0.0165569,
        0.0164088,
        0.0164038,
        0.0164803,
        0.0165267,
        0.0164489,
        0.0165002,
        0.0165608,
        0.0164458,
        0.0164791,
        0.0164874,
        0.0165496,
        0.0167636,
        0.017,
        0.017211,
        0.0171971,
        0.0172005,
        0.0169947,
        0.0167757,
        0.0165871,
        0.0166383,
        0.0166654,
        0.016745,
        0.0167969,
        0.0167385,
        0.0166741,
        0.0165394,
        0.0166234,
        0.016476,
        0.0165247,
        0.0166574,
        0.0167313,
        0.0168878,
        0.0169351,
        0.016815,
        0.0166545,
        0.0164755,
        0.0162834,
        0.0164078,
        0.0163141,
        0.0162412,
        0.0161742,
        0.016104,
        0.0161131,
        0.0180626,
        0.0179206,
        0.0159483,
        0.0159155,
        0.0157688,
        0.0156639,
        0.0155041,
        0.0155197,
        0.0155446,
        0.0155912,
        0.015604,
        0.0157687,
        0.0159009,
        0.0160649,
        0.0164202,
        0.0166959,
        0.0171452,
        0.017798,
        0.0186497,
        0.0197013,
        0.0206409,
        0.0212093,
        0.0215162,
        0.0219909,
        0.0248961,
        0.0244891,
        0.020549,
        0.0191901,
        0.0180658,
        0.0174368,
        0.0169582,
        0.0166046,
        0.0163828,
        0.0162816,
        0.0162416,
        0.0160457,
        0.0159416,
        0.0159077,
        0.0158152,
        0.0158026,
        0.0157754,
        0.0157286,
        0.0155053,
        0.0155166,
        0.0155227,
        0.0155053,
        0.0154972,
        0.0155591,
        0.0155027,
        0.0154876,
        0.0155336,
        0.0155169,
        0.0153821,
        0.0154485,
        0.0154912,
        0.015445,
        0.0154221,
        0.0154034,
        0.0154316,
        0.0155749,
        0.0156823,
        0.0156618,
        0.0157962,
        0.015845,
        0.0160781,
        0.0162906,
        0.0164721,
        0.016683,
        0.0170859,
        0.0171323,
        0.0172648,
        0.0175065,
        0.0177261,
        0.0179913,
        0.018388,
        0.0189001,
        0.0193895,
        0.0200238,
        0.0210052,
        0.022461,
        0.0239744,
        0.025911,
        0.0283188,
        0.0313587,
        0.035382,
        0.0377189,
        0.0339284,
        0.0317316,
        0.0298023,
        0.0279169,
        0.0263908,
        0.0254085,
        0.024807,
        0.024516,
        0.0245026,
        0.0249031,
        0.0256408,
        0.0268317,
        0.0281278,
        0.0316986,
        0.0347092,
        0.0386025,
        0.0437279,
        0.0446243,
        0.0534697,
        0.0659062,
        0.0823743,
        0.109202,
        0.159859,
        0.165348,
        0.10787,
        0.0763691,
        0.0584017,
        0.0471418,
        0.0397953,
        0.0347245,
        0.0311502,
        0.0286172,
        0.0266616,
        0.0251627,
        0.0237997,
        0.022623,
        0.0217906,
        0.0211137,
        0.0204678,
        0.020053,
        0.0198336,
        0.0196018,
        0.0214409,
        0.0213622,
        0.019594,
        0.0193938,
        0.0193591,
        0.0193138,
        0.0192473,
        0.0188588,
        0.0182756,
        0.0178226,
        0.0176407,
        0.017376,
        0.0173292,
        0.0171282,
        0.0169603,
        0.0169182,
        0.0168996,
        0.017004,
        0.017192,
        0.0173282,
        0.0171504,
        0.0168211,
        0.0164789,
        0.0162599,
        0.0161826,
        0.0160352,
        0.0162286,
        0.0162598,
        0.0158637,
        0.0158939,
        0.0159528,
        0.0159577,
        0.0159263,
        0.0159098,
        0.0156995,
        0.0157282,
        0.015746,
        0.0157009,
        0.0157127,
        0.0156889,
        0.0159025,
        0.0160218,
        0.0162439,
        0.0163602,
        0.016349,
        0.0160691,
        0.0157855,
        0.0155841,
        0.0155647,
        0.0154819,
        0.0153596,
        0.0152877,
        0.0153083,
        0.0154408,
        0.0157361,
        0.0159003,
        0.0160146,
        0.0163604,
        0.0166158,
        0.0171296,
        0.0179069,
        0.0191229,
        0.0208739,
        0.0228817,
        0.0241978,
        0.0241196,
        0.0229477,
        0.0216492,
        0.0203981,
        0.0191737,
        0.0182589,
        0.0174696,
        0.0171703,
        0.0168891,
        0.0167276,
        0.0166449,
        0.0164867,
        0.0164263,
        0.016538,
        0.0165502,
        0.0197399,
        0.0191484,
        0.016622,
        0.0166837,
        0.0171515,
        0.0182347,
        0.0199585,
        0.0237746,
        0.0243117,
        0.022734,
        0.0220653,
        0.0215717,
        0.021244,
        0.0204161,
        0.0188079,
        0.0176459,
        0.0173015,
        0.0175656,
        0.0183457,
        0.0197856,
        0.0205712,
        0.0204162,
        0.0199637,
        0.0194044,
        0.0193153,
        0.0192065,
        0.0188787,
        0.0179729,
        0.0172731,
        0.0170004,
        0.0170181,
        0.017193,
        0.0174491,
        0.0179047,
        0.0188338,
        0.0205857,
        0.0229801,
        0.0258469,
        0.0288619,
        0.029234,
        0.0282458,
        0.0288311,
        0.0316548,
        0.0362325,
        0.0399219,
        0.0410026,
        0.0428868,
        0.0371433,
        0.0288828,
        0.0271702,
        0.026278,
        0.0257506,
        0.0263109,
        0.0262089,
        0.0243681,
        0.0215204,
        0.0194616,
        0.0183385,
        0.0182418,
        0.0187405,
        0.0215699,
        0.0225301,
        0.0224153,
        0.0220863,
        0.0203258,
        0.0190998,
        0.0177929,
        0.0179196,
        0.0176118,
        0.0164952,
        0.0164865,
        0.0169507,
        0.0177604,
        0.0187072,
        0.0196393,
        0.0202608,
        0.0206547,
        0.0213577,
        0.0227825,
        0.0239488,
        0.0237593,
        0.0215851,
        0.019006,
        0.0174516,
        0.0172423,
        0.0181296,
        0.0198019,
        0.0219531,
        0.0233759,
        0.0226225,
        0.0201569,
        0.0178302,
        0.0165255,
        0.0160827,
        0.0162795,
        0.0167901,
        0.0179736,
        0.0193146,
        0.0203355,
        0.0204436,
        0.0194435,
        0.0185359,
        0.0182495,
        0.0178293,
        0.017185,
        0.0175532,
        0.0174314,
        0.017774,
        0.018983,
        0.0194004,
        0.0198089,
        0.0190129,
        0.0177212,
        0.0167486,
        0.0163928,
        0.0161931,
        0.0161813,
        0.0163624,
        0.0170082,
        0.0178772,
        0.019187,
        0.0200059,
        0.020497,
        0.0203146,
        0.0193949,
        0.0180789,
        0.0170354,
        0.0181595,
        0.0184593,
        0.0187607,
        0.0193189,
        0.0188114,
        0.020836,
        0.0234765,
        0.0255716,
        0.0254453,
        0.0239179,
        0.0228468,
        0.0216705,
        0.0204623,
        0.0194634,
        0.0195859,
        0.0211389,
        0.0226643,
        0.0234548,
        0.0219542,
        0.0193,
        0.0173472,
        0.0164519,
        0.016215,
        0.0161786,
        0.0165934,
        0.0177953,
        0.0197935,
        0.0224041,
        0.0241485,
        0.0235004,
        0.0211759,
        0.0194425,
        0.0189618,
        0.0192238,
        0.0194892,
        0.0196788,
        0.0200318,
        0.0210192,
        0.0226264,
        0.0247733,
        0.0267126,
        0.0279445,
        0.0271423,
        0.0249891,
        0.0231713,
        0.022768,
        0.0237725,
        0.0245553,
        0.0240996,
        0.022694,
        0.0207275,
        0.0188364,
        0.0178299,
        0.0178544,
        0.0186958,
        0.02005,
        0.0214199,
        0.0225179,
        0.0223732,
        0.0221249,
        0.0210679,
        0.0194163,
        0.0184282,
        0.0181039,
        0.0185011,
        0.0190924,
        0.0194642,
        0.0191691,
        0.0186967,
        0.0186227,
        0.0197113,
        0.022142,
        0.0253672,
        0.0277003,
        0.0266233,
        0.0227485,
        0.019487,
        0.0180417,
        0.0174149,
        0.017372,
        0.0176453,
        0.0186642,
        0.0205303,
        0.0227795,
        0.0245554,
        0.025776,
        0.0246147,
        0.0227778,
        0.0225195,
        0.0232493,
        0.024272,
        0.0254838,
        0.0263529,
        0.0262095,
        0.0267777,
        0.0292637,
        0.0332493,
        0.0367023,
        0.0368735,
        0.0332405,
        0.0327816,
        0.0286345,
        0.0228518,
        0.021689,
        0.0207136,
        0.0203016,
        0.0198319,
        0.0195101,
        0.0196512,
        0.0205868,
        0.023045,
        0.0259595,
        0.0275135,
        0.0261225,
        0.0221793,
        0.019119,
        0.0179182,
        0.0172973,
        0.0168913,
        0.0166885,
        0.016671,
        0.0166858,
        0.0165497,
        0.0164091,
        0.0168071,
        0.0172969,
        0.0174954,
        0.0188721,
        0.020058,
        0.0210921,
        0.0210629,
        0.0205034,
        0.0205733,
        0.0210634,
        0.0212156,
        0.0207,
        0.0196823,
        0.0186674,
        0.0178986,
        0.0174877,
        0.0175473,
        0.0178895,
        0.0185281,
        0.0193464,
        0.0210073,
        0.023201,
        0.0247105,
        0.0243511,
        0.0227078,
        0.0234106,
        0.0236743,
        0.0224706,
        0.0228221,
        0.0217391,
        0.0200715,
        0.0194657,
        0.0191545,
        0.0189131,
        0.0183582,
        0.0176131,
        0.0175809,
        0.0183972,
        0.0202653,
        0.0231337,
        0.0258479,
        0.0272713,
        0.0264371,
        0.0248556,
        0.0235885,
        0.0222717,
        0.0214312,
        0.020439,
        0.019241,
        0.0184783,
        0.0181218,
        0.0185142,
        0.0197922,
        0.0216596,
        0.0233749,
        0.0244239,
        0.0238634,
        0.0221853,
        0.0207169,
        0.0195621,
        0.0191449,
        0.0186851,
        0.0190915,
        0.0200589,
        0.0209649,
        0.0211989,
        0.0207658,
        0.0204464,
        0.0207891,
        0.0215921,
        0.0224645,
        0.0226902,
        0.0217526,
        0.0201292,
        0.0192134,
        0.0189571,
        0.0190262,
        0.0190235,
        0.018773,
        0.0189312,
        0.01933,
        0.019914,
        0.0205784,
        0.0217344,
        0.0231727,
        0.0250532,
        0.0269133,
        0.0290108,
        0.0310364,
        0.0309385,
        0.0291784,
        0.0278233,
        0.0275835,
        0.0277411,
        0.0338311,
        0.0360589,
        0.0336709,
        0.0375069,
        0.0425391,
        0.0485663,
        0.0541893,
        0.0589006,
        0.0638248,
        0.0679898,
        0.0723145,
        0.0764858,
        0.078515,
        0.0801051,
        0.0814485,
        0.081393,
        0.0848904,
        0.0980827,
        0.125132,
        0.165781,
        0.18143,
        0.121225,
        0.0940337,
        0.0821718,
        0.0775227,
        0.0746833,
        0.0696826,
        0.0589259,
        0.050148,
        0.0442662,
        0.0401865,
        0.0393559,
        0.0346246,
        0.0296566,
        0.0290121,
        0.0290619,
        0.0295194,
        0.0295156,
        0.0315316,
        0.0311993,
        0.0325307,
        0.0367549,
        0.042719,
        0.0459445,
        0.0435191,
        0.0401327,
        0.0385492,
        0.0396318,
        0.0442148,
        0.0437424,
        0.0386775,
        0.0397027,
        0.0365691,
        0.033703,
        0.0314353,
        0.029137,
        0.0279825,
        0.0272751,
        0.0269206,
        0.0264414,
        0.0255774,
        0.0239168,
        0.0226467,
        0.0225203,
        0.0222872,
        0.0218067,
        0.0210308,
        0.020223,
        0.0196838,
        0.0199693,
        0.0215349,
        0.0240697,
        0.0275629,
        0.0306446,
        0.0315788,
        0.029642,
        0.0273505,
        0.0277019,
        0.0262858,
        0.0228785,
        0.0218944,
        0.0215824,
        0.0207809,
        0.0196711,
        0.0187738,
        0.0183756,
        0.0189853,
        0.019049,
        0.0186066,
        0.0188232,
        0.0196511,
        0.0206484,
        0.0219256,
        0.0229797,
        0.0235195,
        0.02361,
        0.0230167,
        0.022137,
        0.0214851,
        0.0212517,
        0.0204362,
        0.0195442,
        0.0188615,
        0.019636,
        0.0203195,
        0.0204617,
        0.020719,
        0.0206497,
        0.019788,
        0.0190583,
        0.0187939,
        0.0192342,
        0.0200218,
        0.0200698,
        0.0213174,
        0.0226178,
        0.0232051,
        0.0228005,
        0.0228889,
        0.0244347,
        0.0276984,
        0.0328561,
        0.037622,
        0.0384305,
        0.0352301,
        0.0322353,
        0.0313779,
        0.0312772,
        0.0314888,
        0.0315063,
        0.0319999,
        0.0334851,
        0.0420512,
        0.0457321,
        0.0434535,
        0.0484054,
        0.0555805,
        0.0655596,
        0.0764529,
        0.0870172,
        0.0970401,
        0.106019,
        0.110048,
        0.104448,
        0.0944433,
        0.081257,
        0.0697669,
        0.06202,
        0.0550249,
        0.0501936,
        0.0483495,
        0.0479839,
        0.0464079,
        0.0437086,
        0.0391845,
        0.0347975,
        0.0316352,
        0.029727,
        0.0282481,
        0.0276643,
        0.0276497,
        0.0277983,
        0.0271659,
        0.0258875,
        0.024477,
        0.0234392,
        0.0221552,
        0.0211581,
        0.0206745,
        0.020507,
        0.0204852,
        0.0207891,
        0.0207867,
        0.0208825,
        0.021326,
        0.0221945,
        0.0238331,
        0.0261711,
        0.0291017,
        0.0311595,
        0.0304991,
        0.0280267,
        0.0265793,
        0.0263328,
        0.0273581,
        0.0289252,
        0.0296197,
        0.0356372,
        0.0337895,
        0.0258612,
        0.0238055,
        0.0230281,
        0.022725,
        0.0219783,
        0.0228072,
        0.0234271,
        0.0237092,
        0.0238729,
        0.0244186,
        0.0253233,
        0.0256425,
        0.0264036,
        0.0272996,
        0.0293894,
        0.0309974,
        0.0326921,
        0.0344526,
        0.0367296,
        0.0387116,
        0.0389967,
        0.0385535,
        0.0381371,
        0.0373581,
        0.0372556,
        0.0376454,
        0.0368902,
        0.0345001,
        0.0315833,
        0.0288981,
        0.0270356,
        0.0260966,
        0.0257385,
        0.0253951,
        0.0249409,
        0.0241675,
        0.0231493,
        0.0221611,
        0.021852,
        0.0220747,
        0.0233849,
        0.0241146,
        0.0245441,
        0.0260725,
        0.0280474,
        0.0307421,
        0.034713,
        0.0392299,
        0.0436326,
        0.0451005,
        0.0417533,
        0.0356764,
        0.0306939,
        0.0271755,
        0.0249283,
        0.0235143,
        0.0222703,
        0.0208358,
        0.0199131,
        0.0194223,
        0.019203,
        0.0221621,
        0.0225006,
        0.0195229,
        0.0199389,
        0.0203103,
        0.0202996,
        0.0203504,
        0.020487,
        0.0210698,
        0.0232192,
        0.0267525,
        0.0322323,
        0.0383737,
        0.0409969,
        0.0379682,
        0.0322858,
        0.0279106,
        0.0249206,
        0.0222512,
        0.0205048,
        0.0196756,
        0.0195443,
        0.0196598,
        0.0197682,
        0.0199446,
        0.0199884,
        0.0196516,
        0.0190789,
        0.0185892,
        0.0184616,
        0.0184465,
        0.0185324,
        0.0186697,
        0.018807,
        0.0193404,
        0.0204641,
        0.0223105,
        0.0249167,
        0.0263622,
        0.0254029,
        0.0240089,
        0.0223584,
        0.0217833,
        0.0214081,
        0.0207683,
        0.0199009,
        0.0186864,
        0.017905,
        0.0177785,
        0.0177182,
        0.0177364,
        0.0200357,
        0.0191087,
        0.0175033,
        0.017444,
        0.0176061,
        0.0180225,
        0.0188057,
        0.019554,
        0.0201748,
        0.0203499,
        0.0202865,
        0.0201507,
        0.019233,
        0.0182192,
        0.0179899,
        0.0180341,
        0.0181594,
        0.0184073,
        0.0187167,
        0.0192166,
        0.0199875,
        0.0214365,
        0.0231157,
        0.0247986,
        0.0253151,
        0.0242163,
        0.0224482,
        0.0211977,
        0.0222639,
        0.0251974,
        0.022863,
        0.0200638,
        0.0211062,
        0.0231908,
        0.0258527,
        0.0280981,
        0.0279293,
        0.0252376,
        0.0223401,
        0.0210314,
        0.0207333,
        0.0205335,
        0.0203309,
        0.020293,
        0.0200457,
        0.0198803,
        0.0195705,
        0.0192874,
        0.0207035,
        0.020513,
        0.0188502,
        0.0189433,
        0.0197991,
        0.020828,
        0.0216789,
        0.0218305,
        0.0214942,
        0.0240411,
        0.0228637,
        0.0188407,
        0.0188361,
        0.0189238,
        0.0194565,
        0.0200901,
        0.0202222,
        0.0223357,
        0.0234819,
        0.0222594,
        0.0239839,
        0.027451,
        0.0322164,
        0.0371395,
        0.0395758,
        0.0367258,
        0.0313242,
        0.0273367,
        0.0250056,
        0.0232663,
        0.0226832,
        0.0238219,
        0.0219934,
        0.0212817,
        0.0206142,
        0.0198909,
        0.0195812,
        0.0216287,
        0.022279,
        0.0209433,
        0.0202183,
        0.0209298,
        0.0212351,
        0.0212549,
        0.0207187,
        0.0203784,
        0.0205268,
        0.0216209,
        0.023781,
        0.027064,
        0.0304111,
        0.0322444,
        0.0308444,
        0.0271193,
        0.0234388,
        0.0213288,
        0.0203377,
        0.0200404,
        0.0198402,
        0.0201711,
        0.0208095,
        0.0213828,
        0.021126,
        0.0210971,
        0.0212833,
        0.021087,
        0.021319,
        0.0218699,
        0.0224278,
        0.023181,
        0.0242637,
        0.0253198,
        0.026571,
        0.0283569,
        0.0294747,
        0.030318,
        0.0302536,
        0.0302937,
        0.0333107,
        0.031713,
        0.0264635,
        0.0244799,
        0.0228242,
        0.0220653,
        0.0219974,
        0.0218059,
        0.022884,
        0.0243992,
        0.0254855,
        0.0260231,
        0.0248885,
        0.0226424,
        0.0211712,
        0.0205069,
        0.020459,
        0.0207276,
        0.020272,
        0.0202364,
        0.0202671,
        0.0204877,
        0.0206247,
        0.0207821,
        0.020916,
        0.0207078,
        0.0208831,
        0.021253,
        0.0221559,
        0.0236001,
        0.0253904,
        0.0283216,
        0.0317139,
        0.0336993,
        0.0329503,
        0.0293632,
        0.0264894,
        0.0246117,
        0.022872,
        0.0231447,
        0.0232341,
        0.0233631,
        0.0230685,
        0.0224206,
        0.0219512,
        0.0220162,
        0.0224529,
        0.0229343,
        0.0231018,
        0.0231196,
        0.0230321,
        0.0229077,
        0.0227391,
        0.0229347,
        0.0234102,
        0.0234422,
        0.0238742,
        0.0248922,
        0.026555,
        0.0284601,
        0.0295255,
        0.0303783,
        0.0322039,
        0.0362387,
        0.0424896,
        0.0483969,
        0.0489388,
        0.0429546,
        0.0397601,
        0.0342307,
        0.0315536,
        0.0323868,
        0.034269,
        0.0364006,
        0.0396613,
        0.0431438,
        0.0477036,
        0.0542915,
        0.0667839,
        0.0855793,
        0.0991669,
        0.134112,
        0.205503,
        0.135807,
        0.0981999,
        0.0753076,
        0.0616279,
        0.0518876,
        0.0459645,
        0.0439478,
        0.0437977,
        0.0376971,
        0.0335547,
        0.0316414,
        0.030588,
        0.0292011,
        0.0287918,
        0.0275288,
        0.0287391,
        0.0287394,
        0.0261275,
        0.0254009,
        0.0252229,
        0.0253067,
        0.0253984,
        0.0255211,
        0.0258421,
        0.0265637,
        0.0279159,
        0.0288278,
        0.0293158,
        0.0296567,
        0.0299543,
        0.0294335,
        0.0290174,
        0.0294214,
        0.0305649,
        0.0328604,
        0.0364508,
        0.0352495,
        0.0294509,
        0.0267239,
        0.0255054,
        0.0261797,
        0.0284733,
        0.032282,
        0.0361312,
        0.0379086,
        0.0357652,
        0.0310595,
        0.0280181,
        0.026614,
        0.0264629,
        0.0263295,
        0.0257191,
        0.0250173,
        0.0244263,
        0.0235296,
        0.0229547,
        0.0226367,
        0.0223676,
        0.0225335,
        0.022601,
        0.0228024,
        0.0229348,
        0.0223608,
        0.0218131,
        0.0214621,
        0.0212823,
        0.0211707,
        0.0213061,
        0.0213094,
        0.0217699,
        0.022,
        0.0224939,
        0.022465,
        0.0219205,
        0.0217423,
        0.0219133,
        0.0220114,
        0.022102,
        0.0226582,
        0.023175,
        0.0243927,
        0.0268326,
        0.0300428,
        0.034564,
        0.0397713,
        0.0427238,
        0.0422869,
        0.0376035,
        0.0312325,
        0.0284447,
        0.027783,
        0.0281772,
        0.0288949,
        0.0300857,
        0.0305364,
        0.0338863,
        0.0333424,
        0.0293666,
        0.0275116,
        0.0262465,
        0.0251864,
        0.023966,
        0.0232525,
        0.0237221,
        0.0238409,
        0.0216599,
        0.0213899,
        0.0213086,
        0.0216625,
        0.0213549,
        0.0212917,
        0.0220159,
        0.0233619,
        0.0256297,
        0.0281322,
        0.0300036,
        0.029327,
        0.0267185,
        0.0240223,
        0.0220802,
        0.0212392,
        0.021126,
        0.0214318,
        0.0218407,
        0.0223411,
        0.0224248,
        0.0226342,
        0.0224537,
        0.0224414,
        0.0224577,
        0.022233,
        0.0223908,
        0.0222984,
        0.0219673,
        0.0215911,
        0.0212855,
        0.0211316,
        0.0215042,
        0.0247331,
        0.0249386,
        0.0222731,
        0.0252442,
        0.026452,
        0.0255699,
        0.0262913,
        0.0262155,
        0.0251678,
        0.024297,
        0.0246242,
        0.0248996,
        0.0265804,
        0.0286948,
        0.0312947,
        0.0323185,
        0.0311363,
        0.0281932,
        0.0262321,
        0.0237643,
        0.0229914,
        0.0227807,
        0.0228183,
        0.0229221,
        0.0239842,
        0.0243499,
        0.0248105,
        0.0249397,
        0.0258192,
        0.0251633,
        0.0232979,
        0.0231635,
        0.023015,
        0.0237057,
        0.0257347,
        0.0290437,
        0.0325232,
        0.0343469,
        0.0326524,
        0.0284626,
        0.0246805,
        0.0230584,
        0.0225693,
        0.0226861,
        0.0224399,
        0.026697,
        0.0253035,
        0.0223042,
        0.0219528,
        0.0218354,
        0.0216923,
        0.0247971,
        0.0248172,
        0.02222,
        0.0223188,
        0.0227577,
        0.0232849,
        0.0235219,
        0.0235411,
        0.0237023,
        0.0239894,
        0.0254422,
        0.0277914,
        0.0303886,
        0.0307886,
        0.0299851,
        0.0276501,
        0.0252071,
        0.02398,
        0.0240466,
        0.0238172,
        0.0236187,
        0.02423,
        0.0252927,
        0.027355,
        0.0312439,
        0.0374478,
        0.0437805,
        0.0476809,
        0.0442503,
        0.0353582,
        0.0289884,
        0.0257546,
        0.0241343,
        0.0238541,
        0.0234408,
        0.0233591,
        0.0234626,
        0.0234751,
        0.023707,
        0.0239011,
        0.0238677,
        0.0236879,
        0.0235368,
        0.0243821,
        0.0262004,
        0.0288777,
        0.0320944,
        0.0351221,
        0.0357456,
        0.0323726,
        0.0290889,
        0.0275063,
        0.0270394,
        0.0273793,
        0.0277985,
        0.0282617,
        0.0278102,
        0.0271877,
        0.0269845,
        0.0262653,
        0.02536,
        0.0247672,
        0.0243145,
        0.0240942,
        0.0238904,
        0.0236814,
        0.0236846,
        0.0236496,
        0.0236041,
        0.0240527,
        0.0249391,
        0.0263253,
        0.0285393,
        0.0299173,
        0.0306341,
        0.0328837,
        0.0307495,
        0.0268697,
        0.0256893,
        0.0254895,
        0.0258463,
        0.0264795,
        0.0281879,
        0.0308349,
        0.0339562,
        0.0365827,
        0.036404,
        0.0340454,
        0.0333595,
        0.0353723,
        0.0395868,
        0.0432243,
        0.0420164,
        0.0376776,
        0.0335986,
        0.0326896,
        0.0330622,
        0.0335372,
        0.0333547,
        0.0330438,
        0.0325032,
        0.0313726,
        0.0302673,
        0.0293569,
        0.0283889,
        0.0274215,
        0.0264834,
        0.0266055,
        0.0264213,
        0.0259347,
        0.0260218,
        0.0258799,
        0.025835,
        0.0254938,
        0.0253415,
        0.025017,
        0.0289823,
        0.0288039,
        0.0251436,
        0.0256926,
        0.0261507,
        0.0267364,
        0.0268513,
        0.0267602,
        0.0270041,
        0.0269429,
        0.0273204,
        0.0278443,
        0.0306239,
        0.0322376,
        0.0302807,
        0.0377246,
        0.0408571,
        0.0404114,
        0.0454551,
        0.0489972,
        0.0510694,
        0.0533138,
        0.0576909,
        0.0631997,
        0.0710331,
        0.0713195,
        0.0555939,
        0.0555482,
        0.0587941,
        0.0643307,
        0.0710822,
        0.078869,
        0.0889345,
        0.100402,
        0.117288,
        0.144921,
        0.187398,
        0.203477,
        0.156696,
        0.122802,
        0.0985252,
        0.0853046,
        0.0762287,
        0.0705184,
        0.06902,
        0.0703212,
        0.0724094,
        0.0706056,
        0.0609442,
        0.0505972,
        0.0439702,
        0.0396804,
        0.0375112,
        0.0355068,
        0.0344217,
        0.0335637,
        0.0324598,
        0.0316439,
        0.0313672,
        0.0307999,
        0.0309117,
        0.0305093,
        0.0303648,
        0.0303137,
        0.0305059,
        0.030186,
        0.0297164,
        0.0297399,
        0.0308289,
        0.0324713,
        0.0339503,
        0.034871,
        0.0345571,
        0.0321567,
        0.0301048,
        0.02932,
        0.0303424,
        0.0287634,
        0.0287347,
        0.0290443,
        0.0293624,
        0.0307399,
        0.0333706,
        0.0368011,
        0.0407396,
        0.0425164,
        0.0410539,
        0.0362423,
        0.0326833,
        0.0307273,
        0.030315,
        0.0304157,
        0.0313414,
        0.0315555,
        0.0299562,
        0.0299339,
        0.0302646,
        0.030538,
        0.0302019,
        0.0305264,
        0.0317082,
        0.0341207,
        0.0382606,
        0.0432392,
        0.0473016,
        0.0470851,
        0.0407893,
        0.0340656,
        0.031118,
        0.0297433,
        0.0287234,
        0.0282998,
        0.0281569,
        0.0281393,
        0.0278552,
        0.0274504,
        0.0274027,
        0.0274101,
        0.0272128,
        0.0271851,
        0.0272269,
        0.027535,
        0.0276849,
        0.0279846,
        0.0281962,
        0.0284338,
        0.028983,
        0.0292688,
        0.0295596,
        0.0303056,
        null,
        0.0257568,
        0.0252794,
        0.0246337,
        0.024266,
        0.0241523,
        0.0240754,
        0.0237667,
        0.0235578,
        0.0238036,
        0.023985,
        0.0239084,
        0.0237933,
        0.0237293,
        0.0241061,
        0.0252278,
        0.0270293,
        0.0297457,
        0.03307,
        0.0358502,
        0.0358693,
        0.0337212,
        0.0314563,
        0.0292588,
        0.0277724,
        0.0273537,
        0.0275374,
        0.0281443,
        0.0291006,
        0.0354168,
        0.0368118,
        0.0329602,
        0.0351032,
        0.0379235,
        0.0413982,
        0.0458091,
        0.0515474,
        0.0596007,
        0.0735413,
        0.101011,
        0.145741,
        0.169941,
        0.120657,
        0.0910898,
        0.0741361,
        0.0649052,
        0.0604553,
        0.0629612,
        0.0638697,
        0.0607588,
        0.0537828,
        0.0444575,
        0.0375781,
        0.034441,
        0.031729,
        0.0299719,
        0.0294172,
        0.0287665,
        0.0279538,
        0.030385,
        0.0311314,
        0.031025,
        0.0307808,
        0.0286844,
        0.0261984,
        0.0246987,
        0.0239187,
        0.0234928,
        0.0231983,
        0.0228323,
        0.0224443,
        0.0222581,
        0.0222758,
        0.0222939,
        0.0224013,
        0.0230727,
        0.0262265,
        0.0289104,
        0.0330391,
        0.039712,
        0.0418075,
        0.0360146,
        0.0288526,
        0.0246327,
        0.022894,
        0.0219093,
        0.0213843,
        0.021039,
        0.0208712,
        0.0207173,
        0.0206853,
        0.0207298,
        0.0207507,
        0.0207142,
        0.0206614,
        0.0205352,
        0.0203554,
        0.0203832,
        0.0207149,
        0.0207657,
        0.0205549,
        0.0204775,
        0.0200443,
        0.0199509,
        0.0198759,
        0.0198059,
        0.0198977,
        0.0200185,
        0.0200457,
        0.0201892,
        0.0203287,
        0.020349,
        0.0204799,
        0.0203735,
        0.0201853,
        0.0200814,
        0.0202445,
        0.0206225,
        0.0217565,
        0.0238556,
        0.026839,
        0.0333673,
        0.0330852,
        0.0263458,
        0.0233925,
        0.0223201,
        0.02291,
        0.0250195,
        0.0285635,
        0.0323903,
        0.0345626,
        0.031648,
        0.0262566,
        0.0236988,
        0.0222127,
        0.0213036,
        0.0207875,
        0.0204356,
        0.0202108,
        0.0200604,
        0.0198071,
        0.0194538,
        0.0193773,
        0.0192578,
        0.019342,
        0.0195235,
        0.0195661,
        0.0196634,
        0.0199284,
        0.0202394,
        0.0205391,
        0.0210737,
        0.0216579,
        0.0225482,
        0.0234356,
        0.0241071,
        0.0244942,
        0.0251399,
        0.0267405,
        0.0292686,
        0.0317441,
        0.0313401,
        0.0277333,
        0.0238634,
        0.0217222,
        0.0206488,
        0.0232573,
        0.0239398,
        0.0205499,
        0.0203369,
        0.02139,
        0.0231106,
        0.0244668,
        0.0247165,
        0.0232022,
        0.0212225,
        0.0200522,
        0.0195727,
        0.0192757,
        0.0190121,
        0.0188188,
        0.0187881,
        0.0186876,
        0.0188825,
        0.0193531,
        0.0199984,
        0.0245209,
        0.0251697,
        0.0213813,
        0.0215753,
        0.0220229,
        0.0240372,
        0.0266285,
        0.0276762,
        0.026191,
        0.0230147,
        0.0208856,
        0.0206532,
        0.0219152,
        0.0245546,
        0.0280517,
        0.0301853,
        0.0279107,
        0.0238406,
        0.0209701,
        0.0196378,
        0.0192233,
        0.019131,
        0.0196259,
        0.0194987,
        0.0191756,
        0.0193513,
        0.0195587,
        0.0197613,
        0.0200699,
        0.0204129,
        0.0208358,
        0.0211919,
        0.0211709,
        0.021262,
        0.0210708,
        0.0207714,
        0.0204869,
        0.0203592,
        0.0202972,
        0.0204133,
        0.0206728,
        0.0208895,
        0.0243686,
        0.024653,
        0.0236114,
        0.0260559,
        0.0288952,
        0.0312968,
        0.0322934,
        0.031344,
        0.0287089,
        0.0257476,
        0.0245987,
        0.0239711,
        0.0228731,
        0.022446,
        0.0221839,
        0.0220156,
        0.0218226,
        0.021571,
        0.0213385,
        0.0211669,
        0.0226298,
        0.0227045,
        0.0208972,
        0.0205257,
        0.0201667,
        0.0199064,
        0.0197998,
        0.0197382,
        0.0202081,
        0.0208474,
        0.0220468,
        0.0250719,
        0.0348252,
        0.0384221,
        0.0314096,
        0.0276742,
        0.0250841,
        0.0240341,
        0.0238095,
        0.0240352,
        0.0244051,
        0.0251577,
        0.0265541,
        0.0291203,
        0.0324033,
        0.0345191,
        0.0326769,
        0.0287702,
        0.0264806,
        0.0269987,
        0.0296511,
        0.0324814,
        0.0328445,
        0.0299568,
        0.0266311,
        0.0256687,
        0.0267879,
        0.0288249,
        0.0304896,
        0.0301807,
        0.0281253,
        0.0263932,
        0.0256306,
        0.0259216,
        0.0264307,
        0.027106,
        0.0281707,
        0.0297317,
        0.0313063,
        0.0324681,
        0.033098,
        0.0339932,
        0.0363082,
        0.0404624,
        0.0473,
        0.0583047,
        0.0773321,
        0.131546,
        0.191902,
        0.121173,
        0.082795,
        0.0626332,
        0.0497544,
        0.0427163,
        0.0380231,
        0.0346394,
        0.0325637,
        0.0307934,
        0.0292589,
        0.0284235,
        0.0274939,
        0.0264651,
        0.0256483,
        0.0249133,
        0.0241766,
        0.0237549,
        0.0260724,
        0.0260307,
        0.0235626,
        0.0236292,
        0.0233719,
        0.0233447,
        0.0229598,
        0.0226449,
        0.0221373,
        0.0218192,
        0.0215917,
        0.0213189,
        0.0213744,
        0.0221019,
        0.0234961,
        0.0251803,
        0.0263406,
        0.0264499,
        0.0261194,
        0.0266948,
        0.028259,
        0.0295989,
        0.0280866,
        0.0247307,
        0.0224211,
        0.0212915,
        0.0212182,
        0.0219886,
        0.0235117,
        0.0262644,
        0.0301707,
        0.0327952,
        0.0312987,
        0.0274552,
        0.0244609,
        0.0227715,
        0.021632,
        0.0209408,
        0.0205234,
        0.0200225,
        0.0197516,
        0.0197486,
        0.0198998,
        0.0203951,
        0.020865,
        0.0213907,
        0.0217716,
        0.0220523,
        0.0220689,
        0.0217908,
        0.0213169,
        0.0210887,
        0.0211278,
        0.0213381,
        0.0215108,
        0.022165,
        0.0229915,
        0.0243246,
        0.0255563,
        0.0262611,
        0.026556,
        0.0266371,
        0.0279407,
        0.0307044,
        0.0340158,
        0.0366032,
        0.0355043,
        0.0323727,
        0.0305006,
        0.0308578,
        0.0324247,
        0.034378,
        0.0356968,
        0.0345732,
        0.0314416,
        0.0288487,
        0.0280148,
        0.0285396,
        0.0298701,
        0.0306458,
        0.0304751,
        0.0302882,
        0.0304631,
        0.0304337,
        0.0298314,
        0.0289195,
        0.0282798,
        0.028038,
        0.0285747,
        0.0293934,
        0.0306699,
        0.0320444,
        0.0328423,
        0.0333097,
        0.0332438,
        0.0344374,
        0.0376018,
        0.0435719,
        0.0522028,
        0.0601908,
        0.0628361,
        0.0597789,
        0.0522374,
        0.0441277,
        0.03966,
        0.0381617,
        0.0382634,
        0.0393796,
        0.041337,
        0.0434884,
        0.0444915,
        0.0444614,
        0.0442518,
        0.0448555,
        0.0467484,
        0.0502013,
        0.0534804,
        0.0562383,
        0.0586078,
        0.0601171,
        0.0611086,
        0.0637294,
        0.0680881,
        0.0733383,
        0.076829,
        0.0805262,
        0.0842055,
        0.0875481,
        0.0963858,
        0.106343,
        0.120034,
        0.134457,
        0.146661,
        0.155826,
        0.158941,
        0.167099,
        0.182201,
        0.202607,
        0.2138,
        0.172014,
        0.13685,
        0.106009,
        0.0842684,
        0.0687457,
        0.0562239,
        0.0473716,
        0.0410858,
        0.0363983,
        0.0329157,
        0.030288,
        0.0279979,
        0.0262672,
        0.0252117,
        0.0243361,
        0.0237996,
        0.0233667,
        0.0230196,
        0.0228007,
        0.0229464,
        0.0237403,
        0.0261439,
        0.0294047,
        0.0322083,
        0.0306507,
        0.0256082,
        0.021928,
        0.0201068,
        0.0192475,
        0.0188735,
        0.0190656,
        0.0194866,
        0.019987,
        0.0202449,
        0.0200449,
        0.0195638,
        0.0189996,
        0.0188167,
        0.0192184,
        0.0210138,
        0.0234302,
        0.0262561,
        0.0302955,
        0.0332203,
        0.0345242,
        0.0359023,
        0.0369389,
        0.0333656,
        0.0268214,
        0.0221072,
        0.019583,
        0.0184445,
        0.0179222,
        0.0175751,
        0.0173862,
        0.017263,
        0.0171166,
        0.0171985,
        0.0172477,
        0.0173993,
        0.0187326,
        0.0191283,
        0.0174978,
        0.0175604,
        0.0186556,
        0.0207793,
        0.0236068,
        0.0259397,
        0.025625,
        0.0228763,
        0.0203548,
        0.019738,
        0.0205397,
        0.0220499,
        0.0232821,
        0.022812,
        0.020948,
        0.0183734,
        0.0171418,
        0.0167318,
        0.0168148,
        0.0167463,
        0.0164063,
        0.0164849,
        0.0165239,
        0.0164517,
        0.016412,
        0.0164434,
        0.016517,
        0.0165769,
        0.0165701,
        0.0166348,
        0.0167592,
        0.0169826,
        0.017078,
        0.0172375,
        0.0170872,
        0.0172748,
        0.0175167,
        0.0177229,
        0.0179284,
        0.0183672,
        0.0192251,
        0.0204857,
        0.0220071,
        0.0231312,
        0.0231865,
        0.0222843,
        0.0213103,
        0.0210918,
        0.0212521,
        0.0214681,
        0.0218184,
        0.0226705,
        0.0241931,
        0.0260878,
        0.0272873,
        0.0267196,
        0.024146,
        0.0214776,
        0.0200252,
        0.0195239,
        0.0193375,
        0.0195682,
        0.0203165,
        0.0220585,
        0.0247105,
        0.0263511,
        0.0256802,
        0.0226867,
        0.0198788,
        0.0186856,
        0.0177592,
        0.0169875,
        0.0167661,
        0.0166803,
        0.0166027,
        0.0165238,
        0.0165089,
        0.0165555,
        0.016584,
        0.0165971,
        0.0165831,
        0.0166788,
        0.0169871,
        0.0172943,
        0.0173837,
        0.0174275,
        0.017241,
        0.0169684,
        0.0168481,
        0.0169109,
        0.0170374,
        0.017116,
        0.0170247,
        0.0174823,
        0.0179855,
        0.0187222,
        0.0193539,
        0.0198857,
        0.0200725,
        0.020099,
        0.0210433,
        0.0233748,
        0.0265791,
        0.0302246,
        0.0318491,
        0.0300974,
        0.0277335,
        0.0257124,
        0.0233428,
        0.0215589,
        0.0208847,
        0.0209981,
        0.0214652,
        0.0221156,
        0.0231372,
        0.024438,
        0.0264162,
        0.0293914,
        0.0325859,
        0.0357638,
        0.0359574,
        0.0335022,
        0.029987,
        0.0267819,
        0.0245807,
        0.023037,
        0.0219579,
        0.0213756,
        0.0211964,
        0.0210051,
        0.0212328,
        0.0218747,
        0.0234683,
        0.0266536,
        0.0307866,
        0.0343047,
        0.0338917,
        0.0304235,
        0.0263413,
        0.0225261,
        0.0198413,
        0.0185748,
        0.0180442,
        0.017633,
        0.0173747,
        0.0174173,
        0.0178132,
        0.0176429,
        0.0175316,
        0.0177934,
        0.0179766,
        0.0181492,
        0.0181352,
        0.0183553,
        0.0182813,
        0.0177423,
        0.0175858,
        0.0178503,
        0.0179316,
        0.0177694,
        0.0177788,
        0.0179972,
        0.0184444,
        0.0195004,
        0.0207334,
        0.0218231,
        0.0220667,
        0.0208113,
        0.0192443,
        0.0184481,
        0.0181798,
        0.0180264,
        0.0179884,
        0.0180356,
        0.0180033,
        0.0181443,
        0.0187444,
        0.0199121,
        0.0221325,
        0.0240005,
        0.0243503,
        0.0229831,
        0.0205801,
        0.0189396,
        0.018333,
        0.0181825,
        0.0182365,
        0.0182661,
        0.0182505,
        0.0184236,
        0.0187872,
        0.0192027,
        0.0194497,
        0.0195747,
        0.0196062,
        0.0195314,
        0.0193779,
        0.0195056,
        0.0197608,
        0.0202209,
        0.0206665,
        0.0210163,
        0.0209253,
        0.020472,
        0.0201376,
        0.0202603,
        0.0212177,
        0.0220291,
        0.0237229,
        0.0269936,
        0.0302635,
        0.0310597,
        0.0285724,
        0.0248963,
        0.022411,
        0.0216974,
        0.0214688,
        0.0213522,
        0.0216385,
        0.0218778,
        0.0222436,
        0.0231578,
        0.0243618,
        0.0257138,
        0.0269077,
        0.02697,
        0.0263948,
        0.0261062,
        0.0261686,
        0.0266716,
        0.028675,
        0.0306136,
        0.0314727,
        0.0307714,
        0.0301368,
        0.032159,
        0.0383181,
        0.0463029,
        0.0534516,
        0.0577375,
        0.0525977,
        0.0460223,
        0.0421198,
        0.0420182,
        0.0462799,
        0.0535618,
        0.065589,
        0.0879013,
        0.126533,
        0.153633,
        0.104467,
        0.0742775,
        0.0555458,
        0.0465314,
        0.0412837,
        0.0385026,
        0.037015,
        0.0368875,
        0.038471,
        0.0414488,
        0.0445779,
        0.046465,
        0.0443779,
        0.041067,
        0.039307,
        0.0388818,
        0.0400987,
        0.0412451,
        0.0428104,
        0.0447658,
        0.0470627,
        0.0497006,
        0.0567025,
        0.0604158,
        0.0601591,
        0.0580027,
        0.0591453,
        0.0604907,
        0.0616283,
        0.0644082,
        0.0678902,
        0.0717311,
        0.0774394,
        0.0875426,
        0.102602,
        0.119934,
        0.140728,
        0.159163,
        0.192578,
        0.195473,
        0.161799,
        0.139577,
        0.119912,
        0.112362,
        0.10274,
        0.0911716,
        0.0862356,
        0.0826416,
        0.0788714,
        0.0776554,
        0.0783928,
        0.080236,
        0.0841193,
        0.100533,
        0.110362,
        0.105892,
        0.122875,
        0.146758,
        0.180187,
        0.186747,
        0.146465,
        0.120923,
        0.102184,
        0.0936284,
        0.0943232,
        0.0960535,
        0.0949013,
        0.0866235,
        0.0693293,
        0.0540491,
        0.0452583,
        0.0404576,
        0.0373944,
        0.0354841,
        0.0338316,
        0.0339193,
        0.0328446,
        0.0317123,
        0.0294162,
        0.0287038,
        0.0279947,
        0.0272383,
        0.0268843,
        0.0268835,
        0.0270249,
        0.0274008,
        0.0269329,
        0.0262417,
        0.0257609,
        0.0256635,
        0.0259926,
        0.0274591,
        0.0298292,
        0.0325844,
        0.03472,
        0.0338057,
        0.029268,
        0.0259715,
        0.0246518,
        0.0250055,
        0.0264036,
        0.0289391,
        0.0304789,
        0.0299935,
        0.0273392,
        0.0243654,
        0.0227666,
        0.022085,
        0.0218977,
        0.0217144,
        0.0217427,
        0.0217711,
        0.0212556,
        0.0212625,
        0.0210987,
        0.0210003,
        0.0207832,
        0.0206917,
        0.0204576,
        0.0207287,
        0.0202389,
        0.020661,
        0.021608,
        0.022986,
        0.0236762,
        0.0239115,
        0.0229788,
        0.020564,
        0.0206901,
        0.0208107,
        0.0199355,
        0.0194226,
        0.0196975,
        0.019185,
        0.0195256,
        0.0194415,
        0.0194217,
        0.0196609,
        0.0197746,
        0.0197602,
        0.0196262,
        0.0195165,
        0.0202165,
        0.0216892,
        0.0232817,
        0.024172,
        0.0234978,
        0.0215141,
        0.0198748,
        0.0193333,
        0.0191857,
        0.0192929,
        0.0193207,
        0.0191674,
        0.0190235,
        0.0193606,
        0.0194689,
        0.0192915,
        0.0191159,
        0.0189272,
        0.0188938,
        0.0222743,
        0.0224283,
        0.0191734,
        0.0194122,
        0.0195785,
        0.0196624,
        0.0198013,
        0.0202001,
        0.0204336,
        0.0206213,
        0.0210501,
        0.0218041,
        0.0232444,
        0.0256985,
        0.0294863,
        0.0335029,
        0.0362989,
        0.0361454,
        0.0347745,
        0.0365949,
        0.0369495,
        0.0352549,
        0.0369857,
        0.0400537,
        0.0447555,
        0.0526289,
        0.065462,
        0.0812952,
        0.0940326,
        0.0895136,
        0.0714473,
        0.0554732,
        0.0453231,
        0.0404564,
        0.037952,
        0.0358603,
        0.0345317,
        0.0321387,
        0.0288682,
        0.0261883,
        0.0245615,
        0.0233324,
        0.0225066,
        0.0220649,
        0.0218606,
        0.0215824,
        0.0214762,
        0.0218564,
        0.023008,
        0.025823,
        0.031101,
        0.037782,
        0.0359702,
        0.0337039,
        0.0303537,
        0.0275733,
        0.0256979,
        0.0253502,
        0.0267194,
        0.0273441,
        0.0253144,
        0.0222235,
        0.0219693,
        0.0206592,
        0.0189257,
        0.0187912,
        0.0187916,
        0.0189388,
        0.0193312,
        0.0196896,
        0.0200482,
        0.020207,
        0.0200253,
        0.0205501,
        0.0216834,
        0.0228328,
        0.024901,
        0.0251979,
        0.023548,
        0.0213446,
        0.0197217,
        0.0191638,
        0.0189265,
        0.0188106,
        0.0188084,
        0.0186128,
        0.0186373,
        0.019146,
        0.0198695,
        0.0190504,
        0.0190713,
        0.0194076,
        0.0202383,
        0.0213266,
        0.0222898,
        0.0224448,
        0.0216323,
        0.0201581,
        0.0209861,
        0.0209508,
        0.0195781,
        0.0198498,
        0.0202973,
        0.0204557,
        0.0205176,
        0.0206649,
        0.0207541,
        0.0210133,
        0.0215595,
        0.0232232,
        0.0235538,
        0.022048,
        0.0251424,
        0.0249377,
        0.0220396,
        0.0226001,
        0.024329,
        0.0263212,
        0.0279018,
        0.0279694,
        0.0258719,
        0.0232362,
        0.0219659,
        0.0214763,
        0.0215846,
        0.0234179,
        0.023032,
        0.0235333,
        0.0256412,
        0.0286622,
        0.031336,
        0.032057,
        0.0293747,
        0.0317643,
        0.0288972,
        0.024355,
        0.0242829,
        0.0242277,
        0.0247273,
        0.0252392,
        0.0256699,
        0.0264128,
        0.0269907,
        0.0277348,
        0.0286539,
        0.029914,
        0.0317435,
        0.0337374,
        0.036252,
        0.0380459,
        0.0385634,
        0.0387321,
        0.0397761,
        0.0418308,
        0.0446077,
        0.04826,
        0.0526423,
        0.0585826,
        0.0757208,
        0.0882139,
        0.0931596,
        0.10987,
        0.134999,
        0.156435,
        0.119437,
        0.0946212,
        0.0773565,
        0.0678799,
        0.0603348,
        0.054481,
        0.049727,
        0.0477716,
        0.0447403,
        0.0402713,
        0.0382213,
        0.0366048,
        0.0354453,
        0.0348077,
        0.0345633,
        0.0382502,
        0.0398764,
        0.0411688,
        0.0451247,
        0.0436146,
        0.0443869,
        0.0417023,
        0.0386042,
        0.0373464,
        0.038273,
        0.040428,
        0.0433104,
        0.0467382,
        0.0505221,
        0.0575287,
        0.0674488,
        0.084833,
        0.112059,
        0.154075,
        0.184285,
        0.15426,
        0.109028,
        0.0787468,
        0.0613121,
        0.0518252,
        0.0450421,
        0.039073,
        0.0348476,
        0.0316028,
        0.0293127,
        0.0282995,
        0.0282315,
        0.0285528,
        0.0317282,
        0.0337456,
        0.0303302,
        0.024744,
        0.0234819,
        0.0226518,
        0.022692,
        0.0221567,
        0.0220517,
        0.0215349,
        0.0213147,
        0.0208105,
        0.0220281,
        0.0223214,
        0.0200237,
        0.0200274,
        0.0203382,
        0.0203255,
        0.0204378,
        0.0211195,
        0.0208766,
        0.0209085,
        0.0207756,
        0.0204363,
        0.0203421,
        0.0209829,
        0.0224089,
        0.0238407,
        0.0248453,
        0.0246134,
        0.0228476,
        0.0212784,
        0.0204433,
        0.0200723,
        0.0199636,
        0.0198777,
        0.0201442,
        0.0204581,
        0.0205774,
        0.0206504,
        0.0208191,
        0.0205142,
        0.0205683,
        0.0205256,
        0.0203247,
        0.0204957,
        0.0206004,
        0.0205942,
        0.0209991,
        0.0213735,
        0.0221331,
        0.022959,
        0.0240378,
        0.025021,
        0.02603,
        0.026866,
        0.0285996,
        0.0312407,
        0.0343665,
        0.0377835,
        0.0369725,
        0.0343059,
        0.0352867,
        0.0370856,
        0.0407261,
        0.0454053,
        0.0521932,
        0.0617426,
        0.0771913,
        0.102386,
        0.141071,
        0.148264,
        0.105356,
        0.0757713,
        0.0682264,
        0.0585432,
        0.0488848,
        0.0403503,
        0.0383663,
        0.035193,
        0.0318257,
        0.0283342,
        0.0256348,
        0.0241861,
        0.0234003,
        0.0230165,
        0.0225417,
        0.0222312,
        0.0220639,
        0.0218861,
        0.0220918,
        0.0221786,
        0.0225275,
        0.0225502,
        0.0222915,
        0.0221649,
        0.0219191,
        0.0223419,
        0.0235043,
        0.025306,
        0.0276032,
        0.0300835,
        0.0316138,
        0.036699,
        0.0374363,
        0.0345248,
        0.0341179,
        0.0314683,
        0.0268659,
        0.0232813,
        0.0215152,
        0.0207289,
        0.0202711,
        0.0199183,
        0.0198479,
        0.0196023,
        0.019393,
        0.0192546,
        0.0194737,
        0.0195397,
        0.0195071,
        0.0195549,
        0.0216187,
        0.0218091,
        0.0226649,
        0.0245831,
        0.0251397,
        0.024754,
        0.0244208,
        0.0215689,
        0.0199922,
        0.0196665,
        0.019856,
        0.0202602,
        0.0208398,
        0.0217266,
        0.022463,
        0.0226678,
        0.0261335,
        0.0248922,
        0.0203343,
        0.0205469,
        0.0211189,
        0.0210589,
        0.021335,
        0.0217819,
        0.0216206,
        0.0214801,
        0.0214418,
        0.0214901,
        0.0219623,
        0.0229378,
        0.0240693,
        0.0252083,
        0.02608,
        0.026615,
        0.026911,
        0.027292,
        0.0281506,
        0.0293764,
        0.031706,
        0.0365122,
        0.0388576,
        0.0395316,
        0.0428546,
        0.0479326,
        0.0545715,
        0.0641444,
        0.0765093,
        0.0921824,
        0.110282,
        0.142461,
        0.205762,
        0.155749,
        0.116172,
        0.0920144,
        0.0800522,
        0.069872,
        0.0601367,
        0.04944,
        0.0408835,
        0.0350427,
        0.0319237,
        0.0303263,
        0.0295515,
        0.0290841,
        0.0281944,
        0.0272558,
        0.025765,
        0.0245099,
        0.0233428,
        0.0225888,
        0.0221841,
        0.0215805,
        0.0213418,
        0.0212898,
        0.0211199,
        0.0208597,
        0.0206763,
        0.0203061,
        0.020146,
        0.0198782,
        0.0198953,
        0.0197434,
        0.0196766,
        0.0197148,
        0.0199029,
        0.0202255,
        0.0200796,
        0.0198796,
        0.0199306,
        0.0199641,
        0.0200601,
        0.0203654,
        0.0213416,
        0.0221951,
        0.0229231,
        0.0238706,
        0.0250085,
        0.0274723,
        0.0261346,
        0.0220461,
        0.0211607,
        0.0210382,
        0.0214873,
        0.0221992,
        0.0237028,
        0.0257676,
        0.0279035,
        0.0287236,
        0.0275968,
        0.0256976,
        0.0243023,
        0.0234179,
        0.0233705,
        0.0239144,
        0.0244974,
        0.0250367,
        0.0251574,
        0.0253175,
        0.0259354,
        0.0258941,
        0.025689,
        0.0266592,
        0.0282099,
        0.0308442,
        0.0362326,
        0.0389307,
        0.0365985,
        0.0393553,
        0.0338887,
        0.0256095,
        0.0237429,
        0.0228332,
        0.0223355,
        0.0219596,
        0.0214547,
        0.0210991,
        0.0207679,
        0.0206634,
        0.0207044,
        0.0206237,
        0.020817,
        0.0231703,
        0.0241454,
        0.0230741,
        0.0245648,
        0.0258258,
        0.0258569,
        0.024344,
        0.0223341,
        0.0212064,
        0.0205595,
        0.0209545,
        0.0218058,
        0.0225184,
        0.0233067,
        0.0231375,
        0.0221297,
        0.0209909,
        0.0203852,
        0.0202118,
        0.0203436,
        0.0202644,
        0.0201857,
        0.0203754,
        0.0204186,
        0.0205391,
        0.0207575,
        0.0210094,
        0.0212934,
        0.021837,
        0.0224232,
        0.021968,
        0.0213961,
        0.0211479,
        0.0211876,
        0.0210376,
        0.021106,
        0.0218331,
        0.0219747,
        0.0224649,
        0.0217259,
        0.0209415,
        0.0210117,
        0.021044,
        0.0214732,
        0.0220352,
        0.0230812,
        0.0255531,
        0.0272681,
        0.0266757,
        0.0253466,
        0.0233808,
        0.0220123,
        0.0216362,
        0.021337,
        0.0210708,
        0.0210462,
        0.0210025,
        0.0213234,
        0.0216335,
        0.0217591,
        0.0223124,
        0.0229225,
        0.0234528,
        0.0236495,
        0.0236871,
        0.0231903,
        0.022368,
        0.0218417,
        0.021771,
        0.021743,
        0.0234302,
        0.0238192,
        0.0235889,
        0.0250146,
        0.0271705,
        0.0297099,
        0.0315453,
        0.0314472,
        0.0299531,
        0.0282717,
        0.0276021,
        0.028296,
        0.0285669,
        0.0296139,
        0.031368,
        0.0330277,
        0.03467,
        0.0371852,
        0.0396298,
        0.0415693,
        0.0435065,
        0.0453263,
        0.0480333,
        0.0510368,
        0.056517,
        0.0660236,
        0.0793445,
        0.103358,
        0.142324,
        0.170476,
        0.115524,
        0.0848507,
        0.067438,
        0.0567629,
        0.0488331,
        0.0486714,
        0.0443511,
        0.0368315,
        0.0348742,
        0.0332036,
        0.0336883,
        0.0326789,
        0.0300797,
        0.0291474,
        0.0281558,
        0.027554,
        0.0269088,
        0.0261262,
        0.025572,
        0.0255654,
        0.0258811,
        0.0267794,
        0.0283471,
        0.0310073,
        0.0349855,
        0.0391529,
        0.0409773,
        0.0390247,
        0.0341563,
        0.0293063,
        0.0266698,
        0.0251407,
        0.0254936,
        0.026683,
        0.0280598,
        0.0296049,
        0.0289265,
        0.0267152,
        0.0246518,
        0.0232601,
        0.022634,
        0.0225513,
        0.0221572,
        0.0220418,
        0.0223784,
        0.0231762,
        0.0229391,
        0.0230283,
        0.0242921,
        0.0254843,
        0.0276024,
        0.0299677,
        0.0318658,
        0.0322208,
        0.0304443,
        0.0285028,
        0.0273648,
        0.0262742,
        0.0254368,
        0.0275278,
        0.0281445,
        0.0269084,
        0.0283408,
        0.0297443,
        0.0316301,
        0.0335861,
        0.0349889,
        0.0354689,
        0.0343217,
        0.0327189,
        0.0309841,
        0.0292619,
        0.0283449,
        0.0280807,
        0.0271048,
        0.0253642,
        0.0250197,
        0.0245891,
        0.0237612,
        0.0232581,
        0.0231582,
        0.0230448,
        0.0231404,
        0.0233491,
        0.0234717,
        0.0233034,
        0.0231221,
        0.0230305,
        0.0233004,
        0.0236849,
        0.0252099,
        0.0268459,
        0.027567,
        0.0279628,
        0.0269521,
        0.0253831,
        0.0242904,
        0.0236309,
        0.0233313,
        0.0234527,
        0.0246027,
        0.0265979,
        0.0290794,
        0.031462,
        0.0323739,
        0.0306122,
        0.0274297,
        0.0247962,
        0.023365,
        0.0225521,
        0.0222945,
        0.022303,
        0.0224627,
        0.0222658,
        0.0222074,
        0.0225639,
        0.0227337,
        0.0223415,
        0.0223217,
        0.0226043,
        0.022312,
        0.0222758,
        0.0222961,
        0.0223315,
        0.0223903,
        0.0224603,
        0.0227282,
        0.0229984,
        0.0233368,
        0.0237055,
        0.0238065,
        0.0237931,
        0.0238188,
        0.0235076,
        0.023507,
        0.0233019,
        0.023368,
        0.0233179,
        0.0234037,
        0.0235646,
        0.0241805,
        0.0246515,
        0.0257708,
        0.0268776,
        0.0281532,
        0.0282033,
        0.026948,
        0.0257518,
        0.0246438,
        0.0244345,
        0.0253305,
        0.0256073,
        0.0246692,
        0.0249709,
        0.0251484,
        0.0257934,
        0.0271362,
        0.0288651,
        0.0306908,
        0.0341879,
        0.0359169,
        0.0310785,
        0.0286328,
        0.027373,
        0.0271444,
        0.0273208,
        0.0274542,
        0.0278417,
        0.0286347,
        0.0293708,
        0.0303982,
        0.0350391,
        0.0386631,
        0.0398057,
        0.0448613,
        0.050292,
        0.0538673,
        0.0538181,
        0.0524809,
        0.051294,
        0.0502035,
        0.0500495,
        0.0506609,
        0.0533064,
        0.0572281,
        0.0641055,
        0.0749768,
        0.092342,
        0.121266,
        0.167861,
        0.204695,
        0.142335,
        0.105171,
        0.0881459,
        0.0786468,
        0.0739689,
        0.0695407,
        0.0658851,
        0.0590673,
        0.0515468,
        0.0453855,
        0.0415771,
        0.0393353,
        0.0373595,
        0.0368136,
        0.0354879,
        0.0354381,
        0.0358344,
        0.035745,
        0.035054,
        0.0348016,
        0.0343156,
        0.033694,
        0.0338947,
        0.0340767,
        0.0346165,
        0.036077,
        0.0377376,
        0.0395159,
        0.0414786,
        0.0443147,
        0.0477094,
        0.0532611,
        0.0682128,
        0.079548,
        0.0842685,
        0.108669,
        0.142008,
        0.187633,
        0.213314,
        0.187807,
        0.150667,
        0.122742,
        0.104237,
        0.0941533,
        0.0970525,
        0.094335,
        0.0993609,
        0.11251,
        0.134073,
        0.160141,
        0.191116,
        0.228299,
        0.225581,
        0.186073,
        0.154418,
        0.135734,
        0.120015,
        0.106811,
        0.0960863,
        0.0838599,
        0.0746075,
        0.0666413,
        0.0612709,
        0.0557388,
        0.0503992,
        0.0467167,
        0.0452705,
        0.0521573,
        0.0535503,
        0.0466425,
        0.0464358,
        0.0439869,
        0.0394239,
        0.0359734,
        0.03387,
        0.0324047,
        0.0320382,
        0.0315384,
        0.0306085,
        0.0302844,
        0.0297786,
        0.0292807,
        0.0290901,
        0.0289159,
        0.028503,
        0.0282201,
        0.0279463,
        0.0275178,
        0.0274547,
        0.0270724,
        0.0268182,
        0.0269279,
        0.0266966,
        0.0266882,
        0.0272668,
        0.0284496,
        0.029559,
        0.0304634,
        0.0306314,
        0.0297113,
        0.0278963,
        0.0270038,
        0.0260338,
        0.0259777,
        0.0260439,
        0.0263761,
        0.0267523,
        0.0265709,
        0.0264688,
        0.0262506,
        0.0278782,
        0.0270821,
        0.026084,
        0.0261843,
        0.026366,
        0.0267507,
        0.0265284,
        0.0262894,
        0.025899,
        0.0259827,
        0.0264076,
        0.0267424,
        0.0269065,
        0.027325,
        0.0280402,
        0.0295177,
        0.0320878,
        0.0340437,
        0.0351839,
        0.0337104,
        0.0307126,
        0.0330857,
        0.0332937,
        0.0308649,
        0.0331401,
        0.0353947,
        0.037145,
        0.036489,
        0.035294,
        0.0339007,
        0.0332025,
        0.0314982,
        0.0308942,
        0.0302157,
        0.0303815,
        0.0307709,
        0.0324586,
        0.034527,
        0.0370785,
        0.0420733,
        0.0400923,
        0.0332181,
        0.0322761,
        0.0324026,
        0.0329941,
        0.0334079,
        0.0332474,
        0.0324951,
        0.0317945,
        0.032789,
        0.0353513,
        0.0373673,
        0.0387787,
        0.0382003,
        0.0364556,
        0.0353536,
        0.0350292,
        0.035235,
        0.0365846,
        0.0379412,
        0.0395949,
        0.0422882,
        0.0454589,
        0.04759,
        0.0491384,
        0.0497792,
        0.0493492,
        0.0491034,
        0.0490208,
        0.0493045,
        0.050691,
        0.0539813,
        0.0575543,
        0.0634956,
        0.072929,
        0.0862417,
        0.104097,
        0.134253,
        0.184384,
        0.204956,
        0.140331,
        0.107636,
        0.0860063,
        0.0738681,
        0.0666655,
        0.0639634,
        0.061428,
        0.0589739,
        0.055282,
        0.0495952,
        0.0443959,
        0.0416386,
        0.0409021,
        0.0381603,
        0.0383355,
        0.039992,
        0.0420361,
        0.0430016,
        0.0417835,
        0.0388042,
        0.0362951,
        0.0352675,
        0.0349571,
        0.0355441,
        0.0351306,
        0.0340501,
        0.0335369,
        0.0331622,
        0.0324939,
        0.0317853,
        0.0320038,
        0.0315462,
        0.0311981,
        0.0312186,
        null,
        0.0789975,
        0.0823065,
        0.0897527,
        0.101557,
        0.123734,
        0.160364,
        0.192137,
        0.140027,
        0.110541,
        0.0926923,
        0.0830994,
        0.0782598,
        0.0763409,
        0.078083,
        0.0846099,
        0.0962692,
        0.112872,
        0.138961,
        0.185632,
        0.158114,
        0.138007,
        0.128599,
        0.12673,
        0.129375,
        0.136347,
        0.148537,
        0.172979,
        0.170179,
        null,
        0.11525,
        0.097816,
        0.0851625,
        0.0758631,
        0.0692851,
        0.06243,
        0.057416,
        0.0598778,
        0.055251,
        0.0461993,
        0.0440971,
        0.0419365,
        0.0399073,
        0.0384052,
        0.0375615,
        0.036179,
        0.0345746,
        0.0337658,
        0.0333188,
        0.0328483,
        0.032822,
        0.0322605,
        0.0312843,
        0.0303077,
        0.0298181,
        0.0299529,
        0.0300574,
        0.0302264,
        0.0300235,
        0.0292149,
        0.0305429,
        0.0304671,
        0.0271488,
        0.0268959,
        0.0269609,
        0.02727,
        0.027467,
        0.0275983,
        0.0276182,
        0.0274967,
        0.0270677,
        0.0266749,
        0.0264613,
        0.0266109,
        0.026339,
        0.0266226,
        0.0268251,
        0.0273735,
        0.0282179,
        0.0293531,
        0.0329228,
        0.0358414,
        0.0366506,
        0.039798,
        0.0416907,
        0.0399216,
        0.0361185,
        0.0326444,
        0.0300208,
        0.028336,
        0.0270458,
        0.0256813,
        0.0249422,
        0.0244278,
        0.0254698,
        0.0246368,
        0.0233005,
        0.0231963,
        0.0234165,
        0.0238337,
        0.0237722,
        0.0239157,
        0.0244174,
        0.0247648,
        0.0247925,
        0.0242812,
        0.0236256,
        0.0232639,
        0.0230692,
        0.0230223,
        0.0229285,
        0.022915,
        0.0226549,
        0.0224072,
        0.0225016,
        0.0233371,
        0.0244136,
        0.0257721,
        0.0272085,
        0.0276083,
        0.0271607,
        0.0302533,
        0.0293341,
        0.0254104,
        0.0264455,
        0.027889,
        0.0293398,
        0.0304336,
        0.0310928,
        0.0315763,
        0.0331123,
        0.0348582,
        0.0358707,
        0.035912,
        0.0345923,
        0.0323254,
        0.0306578,
        0.029565,
        0.0274579,
        0.0266771,
        0.0260621,
        0.0254525,
        0.0245161,
        0.0237647,
        0.0231712,
        0.0226911,
        0.0224692,
        0.0223182,
        0.022027,
        0.021677,
        0.0220574,
        0.021633,
        0.0211328,
        0.0214447,
        0.0218187,
        0.0224845,
        0.0227285,
        0.0225454,
        0.0222726,
        0.0225036,
        0.022974,
        0.0233163,
        0.0225253,
        0.0211814,
        0.0205191,
        0.0204654,
        0.0206484,
        0.0208786,
        0.0211819,
        0.0215518,
        0.021964,
        0.0221129,
        0.0231342,
        0.0232815,
        0.0223324,
        0.0221105,
        0.0253675,
        0.0254345,
        0.0219158,
        0.0220497,
        0.0223923,
        0.0226494,
        0.0230448,
        0.0236283,
        0.0244069,
        0.0253613,
        0.0265597,
        0.0281259,
        0.03026,
        0.0332999,
        0.037691,
        0.0433322,
        0.0488983,
        0.0508833,
        0.0470092,
        0.0406726,
        0.0361666,
        0.0335567,
        0.0314703,
        0.0296339,
        0.027736,
        0.0300841,
        0.0289298,
        0.0244713,
        0.0242646,
        0.0239394,
        0.0236776,
        0.0233256,
        0.0245914,
        0.0245073,
        0.021817,
        0.0213344,
        0.0209901,
        0.0207878,
        0.0205711,
        0.0204951,
        0.0206013,
        0.0210813,
        0.021869,
        0.0226015,
        0.0225981,
        0.0242494,
        0.0234173,
        0.0219502,
        0.0239614,
        0.0246239,
        0.0225642,
        0.0213874,
        0.0205265,
        0.0202358,
        0.0201768,
        0.0203591,
        0.0208242,
        0.0214805,
        0.0223066,
        0.0231784,
        0.0233471,
        0.0232213,
        0.0230264,
        0.0230417,
        0.0234458,
        0.0240862,
        0.0247779,
        0.0256261,
        0.026136,
        0.0264905,
        0.0262878,
        0.025863,
        0.0257362,
        0.0264881,
        0.0278027,
        0.0295805,
        0.0315279,
        0.0333398,
        0.0347386,
        0.0353621,
        0.0347728,
        0.0334317,
        0.0317318,
        0.0309669,
        0.0307765,
        0.0306723,
        0.0300898,
        0.028406,
        0.0268595,
        0.025828,
        0.0255361,
        0.0253085,
        0.0252832,
        0.0254799,
        0.0258411,
        0.0262344,
        0.0270246,
        0.0277499,
        0.0288962,
        0.0305656,
        0.031564,
        0.0303763,
        0.0307097,
        0.0314173,
        0.0324492,
        0.033623,
        0.0351399,
        0.0359592,
        0.0359131,
        0.0361377,
        0.0364525,
        0.0374354,
        0.0390492,
        0.0415559,
        0.0445644,
        0.0481366,
        0.0616697,
        0.0684365,
        0.0665222,
        0.0757726,
        0.104584,
        0.11895,
        0.111615,
        0.126922,
        0.144787,
        0.166752,
        0.202477,
        0.191617,
        0.152547,
        0.124899,
        0.103456,
        0.0891387,
        0.0780061,
        0.0699162,
        0.0637769,
        0.0590634,
        0.0550253,
        0.0520782,
        0.0492242,
        0.0472688,
        0.0451927,
        0.0441198,
        0.0431753,
        0.0426035,
        0.0414682,
        0.0394645,
        0.0386516,
        0.0378687,
        0.0375834,
        0.037116,
        0.036602,
        0.0352963,
        0.0339138,
        0.0331651,
        0.0330213,
        0.0329913,
        0.0325557,
        0.0324199,
        0.0321043,
        0.0319302,
        0.0320836,
        0.0325777,
        0.0332449,
        0.0344672,
        0.0363024,
        0.0389467,
        0.042698,
        0.0483071,
        0.0555426,
        0.0668743,
        0.0862682,
        0.14232,
        0.203828,
        0.15514,
        0.105811,
        0.076181,
        0.0590435,
        0.0487815,
        0.0421021,
        0.0376452,
        0.0344359,
        0.032229,
        0.0306103,
        0.0293711,
        0.028314,
        0.0274498,
        0.0270393,
        0.0269545,
        0.0269415,
        0.0269619,
        0.0270273,
        0.0268999,
        0.0269864,
        0.0272261,
        0.0269986,
        0.0261157,
        0.0252064,
        0.0245915,
        0.0242623,
        0.0242507,
        0.0238749,
        0.0234566,
        0.0231003,
        0.0227495,
        0.0227561,
        0.0225006,
        0.0220922,
        0.0219733,
        0.0221409,
        0.0223934,
        0.022703,
        0.0229941,
        0.0232114,
        0.0236004,
        0.02402,
        0.0246428,
        0.0260718,
        0.0281589,
        0.0310652,
        0.0351492,
        0.0399147,
        0.0455219,
        0.0528515,
        0.0635984,
        0.0745809,
        0.0774599,
        0.0705557,
        0.0606987,
        0.0532372,
        0.0490482,
        0.0467059,
        0.0441478,
        0.040177,
        0.0364954,
        0.0327302,
        0.029943,
        0.0296288,
        0.0284305,
        0.0254791,
        0.0243699,
        0.023602,
        0.0230849,
        0.0230207,
        0.0224973,
        0.0220216,
        0.0222138,
        0.0222755,
        0.0219158,
        0.0219546,
        0.0222389,
        0.0229405,
        0.0245647,
        0.0251251,
        0.0258529,
        0.0263873,
        0.0257791,
        0.0245448,
        0.0235119,
        0.0232546,
        0.0234608,
        0.023918,
        0.024739,
        0.0263808,
        0.028195,
        0.0315187,
        0.0336748,
        0.0335154,
        0.0331245,
        0.0310443,
        0.0288323,
        0.0268303,
        0.0253743,
        0.0243909,
        0.0236652,
        0.023083,
        0.0229631,
        0.0227713,
        0.0224616,
        0.0219943,
        0.0217324,
        0.0216353,
        0.0215655,
        0.0216605,
        0.0217608,
        0.0218815,
        0.0221202,
        0.0225099,
        0.0229939,
        0.0235758,
        0.0240522,
        0.0250491,
        0.0258137,
        0.0269951,
        0.0285043,
        0.0332638,
        0.0352051,
        0.0348926,
        0.0359433,
        0.0377472,
        0.0408963,
        0.0453213,
        0.0510222,
        0.0587078,
        0.0673524,
        0.0765802,
        0.0842726,
        0.088545,
        0.0885237,
        0.0842991,
        0.0761974,
        0.0668836,
        0.0591096,
        0.0522053,
        0.046416,
        0.0423182,
        0.0390402,
        0.0371215,
        0.0357013,
        0.0350688,
        0.0346248,
        0.0359874,
        0.0328772,
        0.0307112,
        0.0289198,
        0.0275384,
        0.0265371,
        0.0261899,
        0.0260474,
        0.026087,
        0.0263429,
        0.0269241,
        0.028707,
        0.0293994,
        0.0289375,
        0.0302539,
        0.032054,
        0.0345122,
        0.0374947,
        0.0411905,
        0.046839,
        0.0536115,
        0.0631813,
        0.0780242,
        0.100209,
        0.133629,
        0.188032,
        0.140106,
        0.0991762,
        0.0758761,
        0.0617351,
        0.0521113,
        0.0456618,
        0.0405382,
        0.0372634,
        0.0349383,
        0.0336764,
        0.0332046,
        0.0322529,
        0.0304392,
        0.0287321,
        0.0271804,
        0.0260314,
        0.0252381,
        0.0250194,
        0.0250679,
        0.0252016,
        0.0250475,
        0.0245157,
        0.0239661,
        0.0236451,
        0.0248094,
        0.0244698,
        0.0240997,
        0.0240806,
        0.0241011,
        0.0236666,
        0.0231464,
        0.0226264,
        0.0218361,
        0.0212315,
        0.0208275,
        0.020748,
        0.0206142,
        0.0211633,
        0.0209782,
        0.020221,
        0.0201212,
        0.0200957,
        0.0201237,
        0.0201186,
        0.0202908,
        0.0204467,
        0.0207183,
        0.0216232,
        0.0260255,
        0.0275922,
        0.025738,
        0.0275655,
        0.029313,
        0.0307678,
        0.0316361,
        0.0317564,
        0.0312748,
        0.0294375,
        0.0266227,
        0.02458,
        0.0244191,
        0.023903,
        0.0224333,
        0.0223879,
        0.0223062,
        0.0225273,
        0.0227376,
        0.0230501,
        0.0233824,
        0.0236259,
        0.023265,
        0.0230166,
        0.0228292,
        0.0225754,
        0.0225836,
        0.022927,
        0.0236072,
        0.0246097,
        0.0258185,
        0.0270994,
        0.0283061,
        0.0291904,
        0.0291466,
        0.0280018,
        0.0262261,
        0.0246181,
        0.0237731,
        0.0225639,
        0.0212169,
        0.0207126,
        0.0208711,
        0.0209487,
        0.0209012,
        0.020298,
        0.0205228,
        0.0201718,
        0.0198446,
        0.0193527,
        0.0190053,
        0.0189466,
        0.0189365,
        0.0190104,
        0.0192762,
        0.0200112,
        0.0206999,
        0.0215314,
        0.0220817,
        0.0225115,
        0.022504,
        0.0222387,
        0.0217306,
        0.0212255,
        0.0209839,
        0.0209726,
        0.0211744,
        0.021546,
        0.0219031,
        0.0224592,
        0.0231599,
        0.0233561,
        0.0232779,
        0.022774,
        0.0220402,
        0.0212295,
        0.0213173,
        0.0217097,
        0.0221038,
        0.0219349,
        0.0216457,
        0.0214532,
        0.0214899,
        0.0218237,
        0.0214973,
        0.0211007,
        0.0206963,
        0.020616,
        0.020686,
        0.0209472,
        0.0214715,
        0.0222678,
        0.0230406,
        0.0239165,
        0.0244513,
        0.0244672,
        0.0243077,
        0.0246092,
        0.0251174,
        0.0255311,
        0.0256325,
        0.0257691,
        0.0259896,
        0.0256924,
        0.0253969,
        0.0254941,
        0.0284391,
        0.0309458,
        0.0286311,
        0.0299072,
        0.0337757,
        0.0340687,
        0.0318042,
        0.0331089,
        0.0351637,
        0.0383691,
        0.042163,
        0.0471523,
        0.0543981,
        0.0644221,
        0.0792507,
        0.10076,
        0.133727,
        0.19103,
        0.141746,
        0.107071,
        0.0861521,
        0.0732111,
        0.0629056,
        0.0548836,
        0.0489015,
        0.0447521,
        0.0410634,
        0.0381077,
        0.035758,
        0.0342477,
        0.0330929,
        0.0318622,
        0.0310034,
        0.0297755,
        0.0282658,
        0.0273366,
        0.0267271,
        0.0261889,
        0.0252406,
        0.0247039,
        0.0247813,
        0.0248751,
        0.025434,
        0.0261975,
        0.0262167,
        0.0256217,
        0.0244225,
        0.0230497,
        0.021805,
        0.0230995,
        0.0228823,
        0.0211436,
        0.0211492,
        0.0211208,
        0.021068,
        0.0211758,
        0.0211712,
        0.0212847,
        0.0212987,
        0.0216402,
        0.0221998,
        0.0227842,
        0.0236172,
        0.0250249,
        0.0265259,
        0.0284403,
        0.0301382,
        0.0316779,
        0.0317139,
        0.0309384,
        0.0292882,
        0.0275951,
        0.0259841,
        0.0248574,
        0.0240711,
        0.0233648,
        0.0263924,
        0.0296039,
        0.0249756,
        0.0228834,
        0.0232371,
        0.0236031,
        0.0244744,
        0.0260412,
        0.0279941,
        0.0301879,
        0.0325612,
        0.0331777,
        0.0325684,
        0.0310613,
        0.0286386,
        0.0268014,
        0.0251362,
        0.0234594,
        0.0226847,
        0.0218165,
        0.0213432,
        0.0210839,
        0.020847,
        0.0208208,
        0.0208306,
        0.0208693,
        0.0208915,
        0.0211985,
        0.0216055,
        0.021944,
        0.0223995,
        0.0258354,
        0.0252924,
        0.0241237,
        0.02477,
        0.0247765,
        0.0239389,
        0.0224588,
        0.0232887,
        0.021531,
        0.0198489,
        0.0197282,
        0.019789,
        0.0196861,
        0.0199454,
        0.021996,
        0.0221566,
        0.0205164,
        0.0212102,
        0.0235803,
        0.0251967,
        0.0248657,
        0.0205766,
        0.0200339,
        0.0200916,
        0.0219337,
        0.0215298,
        0.0204758,
        0.0204999,
        0.0217305,
        0.0242483,
        0.0215372,
        0.020679,
        0.0212632,
        0.0221565,
        0.0256021,
        0.025257,
        0.0232368,
        0.0230095,
        0.0229509,
        0.0225365,
        0.0229074,
        0.0232719,
        0.0238878,
        0.0249991,
        0.0263186,
        0.0265292,
        0.0262085,
        0.0261522,
        0.0249125,
        0.0237345,
        0.0235355,
        0.0234237,
        0.0237574,
        0.0250187,
        0.02537,
        0.0247855,
        0.0243568,
        0.0243487,
        0.0249128,
        0.0245668,
        0.0252892,
        0.0263375,
        0.0271048,
        0.0270389,
        0.0272546,
        0.0274998,
        0.0284953,
        0.0297558,
        0.0307507,
        0.0321736,
        0.0334929,
        0.0352571,
        0.0374947,
        0.0411659,
        0.044875,
        0.0497528,
        0.0555162,
        0.0706402,
        0.08396,
        0.0893902,
        0.113275,
        0.152403,
        0.178317,
        0.13058,
        0.101339,
        0.0815267,
        0.068317,
        0.0588466,
        0.0524848,
        0.0478612,
        0.0449326,
        0.0421376,
        0.0405364,
        0.0391804,
        0.0378774,
        0.0380845,
        0.0398016,
        0.041143,
        0.0452772,
        0.0499498,
        0.0546805,
        0.0598905,
        0.0587682,
        0.0519594,
        0.0467484,
        0.0405618,
        0.0356774,
        0.0323421,
        0.0306102,
        0.0288043,
        0.0286074,
        0.0277777,
        0.0276005,
        0.0285475,
        0.0287593,
        0.0286165,
        0.0298103,
        0.029616,
        0.0287678,
        0.0279545,
        0.0267939,
        0.0262573,
        0.026306,
        0.0272073,
        0.0281369,
        0.02866,
        0.030837,
        0.0317303,
        0.0319406,
        0.033589,
        0.0328123,
        0.0301722,
        0.0288567,
        0.0285803,
        0.0285135,
        0.0284493,
        0.0287191,
        0.0294436,
        0.0302153,
        0.0297842,
        0.0331614,
        0.0310226,
        0.028876,
        0.0286305,
        0.0253921,
        0.0238128,
        0.0231479,
        0.0227359,
        0.0223943,
        0.0249969,
        0.0253437,
        0.023892,
        0.023907,
        0.0230787,
        0.0258666,
        0.0265938,
        0.0246109,
        0.024855,
        0.0258995,
        0.0255811,
        0.0240626,
        0.0232674,
        0.0231621,
        0.0227948,
        0.0221409,
        0.0217914,
        0.0219075,
        0.020909,
        0.0214715,
        0.0212099,
        0.0211381,
        0.0214071,
        0.0214186,
        0.0215868,
        0.0215015,
        0.0210986,
        0.0206616,
        0.020494,
        0.0204043,
        0.0202782,
        0.0201851,
        0.0200805,
        0.020098,
        0.020093,
        0.020154,
        0.0202937,
        0.0201389,
        0.0200085,
        0.0199513,
        0.0200301,
        0.020041,
        0.0207248,
        0.0220637,
        0.0212102,
        0.0202519,
        0.0205481,
        0.0207159,
        0.0208123,
        0.0210754,
        0.0214264,
        0.0221535,
        0.0228447,
        0.0233331,
        0.0235403,
        0.0233534,
        0.0230681,
        0.0231989,
        0.0229016,
        0.0234096,
        0.0236736,
        0.0236234,
        0.0237356,
        0.0237833,
        0.0240185,
        0.0247361,
        0.0254993,
        0.0259168,
        0.0264434,
        0.0260241,
        0.0259629,
        0.0263243,
        0.0267658,
        0.0271566,
        0.0269571,
        0.0266898,
        0.0274255,
        0.0282233,
        0.0291302,
        0.0298085,
        0.02984,
        0.0296686,
        0.0295995,
        0.0298656,
        0.0303501,
        0.0307909,
        0.0312462,
        0.0316095,
        0.0324616,
        0.0374962,
        0.0391447,
        0.0375432,
        0.0397646,
        0.0417939,
        0.0443265,
        0.0471103,
        0.0508041,
        0.0562765,
        0.0632973,
        0.0728769,
        0.083741,
        0.0954909,
        0.112724,
        0.139378,
        0.181488,
        0.152191,
        0.118135,
        0.0965625,
        0.0816035,
        0.0707924,
        0.0609818,
        0.0543916,
        0.0505913,
        0.0486636,
        0.0459362,
        0.0436869,
        0.0391873,
        0.0378486,
        0.0365153,
        0.0354423,
        0.034722,
        0.0341362,
        0.0336314,
        0.0336492,
        0.0341156,
        0.0342114,
        0.0342707,
        0.0337619,
        0.0327454,
        0.0318832,
        0.0317052,
        0.031307,
        0.0309008,
        0.0303682,
        0.0297903,
        0.0293194,
        0.0288556,
        0.0286489,
        0.0283322,
        0.028659,
        0.0291344,
        0.0294405,
        0.0305272,
        0.0317774,
        0.0338076,
        0.0368486,
        0.0399084,
        0.0423277,
        0.0424221,
        0.040311,
        0.0373034,
        0.0344624,
        0.0318139,
        0.029603,
        0.0278208,
        0.0266836,
        0.0258954,
        0.0252331,
        0.0248909,
        0.025009,
        0.0252131,
        0.0249832,
        0.0241675,
        0.0239395,
        0.0239337,
        0.0240748,
        0.0239098,
        0.0241971,
        0.0245104,
        0.0247077,
        0.0250976,
        0.0255418,
        0.0260586,
        0.0264025,
        0.0268721,
        0.0261889,
        0.0258239,
        0.0257823,
        0.025936,
        0.0262089,
        0.0261066,
        0.0259655,
        0.025454,
        0.0250094,
        0.0247384,
        0.0246834,
        0.0245183,
        0.0244637,
        0.0246101,
        0.0245894,
        0.024656,
        0.0247807,
        0.0249506,
        0.0248394,
        0.024665,
        0.0248221,
        0.0248585,
        0.0250692,
        0.0251407,
        0.0255243,
        0.0261997,
        0.0269283,
        0.0262322,
        0.0262591,
        0.0269389,
        0.0273953,
        0.027751,
        0.0273008,
        0.0267743,
        0.0266404,
        0.0267675,
        0.0268983,
        0.026991,
        0.0279342,
        0.0282252,
        0.0275334,
        0.0276382,
        0.0279562,
        0.0284989,
        0.02894,
        0.0293641,
        0.0296319,
        0.0303808,
        0.0299084,
        0.0290725,
        0.0288707,
        0.0287603,
        0.0289953,
        0.029181,
        0.0293715,
        0.029534,
        0.0296383,
        0.029605,
        0.0296835,
        0.0300651,
        0.0305674,
        0.0310194,
        0.0314365,
        0.0319381,
        0.0326155,
        0.0335579,
        0.0344079,
        0.0349409,
        0.0353091,
        0.035512,
        0.03602,
        0.0367539,
        0.0377379,
        0.0390437,
        0.0426361,
        0.0436824,
        0.0410052,
        0.0417875,
        0.0431113,
        0.0434711,
        0.0444348,
        0.0464348,
        0.0485945,
        0.0504975,
        0.0526032,
        0.0545626,
        0.0595739,
        0.0623746,
        0.0641778,
        0.067865,
        0.0714354,
        0.0765167,
        0.0831144,
        0.0897131,
        0.0963533,
        0.104916,
        0.115645,
        0.132417,
        0.147681,
        0.165783,
        0.207975,
        0.184452,
        0.165363,
        0.158741,
        0.15018,
        0.137861,
        0.126238,
        0.113913,
        0.104631,
        0.0980216,
        0.0906875,
        0.0854822,
        0.083313,
        0.0819849,
        0.0792615,
        0.0758377,
        0.0721853,
        0.0691273,
        0.0802472,
        0.0725951,
        0.061086,
        0.0600361,
        0.0598426,
        0.0591851,
        0.0570356,
        0.0557625,
        0.0546758,
        0.0531732,
        0.053297,
        0.0531965,
        0.052525,
        0.0516419,
        0.0556224,
        0.0586343,
        0.05154,
        0.0529063,
        0.053151,
        0.0533718,
        0.0535251,
        0.0546949,
        0.0547754,
        0.0553474,
        0.056356,
        0.0565023,
        0.0566578,
        0.0572414,
        0.0580654,
        0.0589832,
        0.0589539,
        0.060188,
        0.0624726,
        0.0645441,
        0.0654973,
        0.0646029,
        0.0658683,
        0.0715311,
        0.0741415,
        0.0732466,
        0.0756747,
        0.0799447,
        0.0843307,
        0.0882075,
        0.0923323,
        0.0971218,
        0.103225,
        0.110478,
        0.117932,
        0.151172,
        0.165361,
        0.162876,
        0.173765,
        0.195043,
        0.175411,
        0.171519,
        0.169153,
        0.169071,
        0.164923,
        0.163703,
        0.167244,
        0.189922,
        0.205281,
        0.190324,
        0.153858,
        0.124145,
        0.110666,
        0.100047,
        0.0917664,
        0.0859283,
        0.0823905,
        0.0797962,
        0.0835498,
        0.0806011,
        0.0706766,
        0.0750139,
        0.0765958,
        0.0648016,
        0.0596201,
        0.0583325,
        0.0558178,
        0.0538265,
        0.0530553,
        0.0512889,
        0.0512989,
        0.0500099,
        0.0491438,
        0.0479402,
        0.0470684,
        0.0456933,
        0.0460401,
        0.045686,
        0.0463331,
        0.0471239,
        0.0471679,
        0.0467735,
        0.0459472,
        0.0441585,
        0.0421694,
        0.0405916,
        0.0399565,
        0.0388047,
        0.0383207,
        0.0373861,
        0.0366014,
        0.0362378,
        0.0357427,
        0.0353737,
        0.0353574,
        0.0349294,
        0.0346295,
        0.0346935,
        0.0342129,
        0.0342324,
        0.0338553,
        0.0335149,
        0.0330019,
        0.0323742,
        0.0323327,
        0.0321405,
        0.0317964,
        0.032023,
        0.0321525,
        0.0324072,
        0.0325932,
        0.0330353,
        0.0325911,
        0.0321547,
        0.0323915,
        0.0317274,
        0.0318398,
        0.0306865,
        0.0304089,
        0.0330704,
        0.0331484,
        0.0301999,
        0.0299704,
        0.029722,
        0.0293426,
        0.0293224,
        0.0292438,
        0.0292139,
        0.0287404,
        0.0284693,
        0.0288697,
        0.0290518,
        0.0292216,
        0.0289825,
        0.0291524,
        0.0290713,
        0.0289271,
        0.0291621,
        0.0317489,
        0.0317969,
        0.0298237,
        0.0301926,
        0.0310045,
        0.0307843,
        0.0304128,
        0.0300302,
        0.0296981,
        0.0297557,
        0.029652,
        0.0296055,
        0.033283,
        0.0343271,
        0.0299315,
        0.0299816,
        0.0302717,
        0.0305559,
        0.0303341,
        0.0299411,
        0.0298611,
        0.0297068,
        0.0295967,
        0.0295518,
        0.0298598,
        0.0300089,
        0.0303063,
        0.0301486,
        0.0357559,
        0.0353949,
        0.0295856,
        0.0294639,
        0.0295553,
        0.0298941,
        0.0295293,
        0.029726,
        0.0297209,
        0.0296316,
        0.0298482,
        0.0297855,
        0.0298998,
        0.0300125,
        0.030237,
        0.0301691,
        0.031007,
        0.0312177,
        0.0308783,
        0.0310023,
        0.0314961,
        0.0316914,
        0.031832,
        0.0324585,
        0.0327007,
        0.0341187,
        0.0351348,
        0.0341098,
        0.0344331,
        0.035217,
        0.0357566,
        0.0364438,
        0.0371807,
        0.0381359,
        0.0395165,
        0.0405422,
        0.042257,
        0.0435832,
        0.0441724,
        0.0453361,
        0.0466075,
        0.0479182,
        0.0499444,
        0.0522766,
        0.0544451,
        0.0584115,
        0.0611721,
        0.0643986,
        0.0708684,
        0.0771427,
        0.0851396,
        0.0958645,
        0.109263,
        0.125264,
        0.149934,
        0.18394,
        0.198974,
        0.160328,
        0.127057,
        0.108063,
        0.0936218,
        0.0828005,
        0.0750428,
        0.0687553,
        0.0634714,
        0.0605208,
        0.0568196,
        0.0543344,
        0.0534864,
        0.0480368,
        0.0458092,
        0.0447045,
        0.0433261,
        0.0425204,
        0.0419879,
        0.0413559,
        0.0407217,
        0.0403406,
        0.0399304,
        0.0395819,
        0.0399866,
        0.0406096,
        0.0414229,
        0.0416567,
        0.0415126,
        0.0413488,
        0.0411138,
        0.0460159,
        0.0441285,
        0.0382527,
        0.037307,
        0.0359964,
        0.0350466,
        0.0345945,
        0.0339929,
        0.0335409,
        0.0331769,
        0.0331372,
        0.0325156,
        0.0327679,
        0.0326488,
        0.0356783,
        0.0356268,
        0.0326494,
        0.0335572,
        0.033717,
        0.0323923,
        0.0321397,
        0.0315804,
        0.031503,
        0.0311967,
        0.03111,
        0.0304224,
        0.0303474,
        0.030239,
        0.0298186,
        0.0297909,
        0.0298637,
        0.0296921,
        0.0298272,
        0.0294368,
        0.0300472,
        0.0305791,
        0.0300584,
        0.0301505,
        0.0300821,
        0.029744,
        0.0296021,
        0.0295867,
        0.0294152,
        0.0289272,
        0.0292945,
        0.0294418,
        0.0302159,
        0.0303378,
        0.0305149,
        0.0307042,
        0.0304871,
        0.0302676,
        0.0299832,
        0.0302838,
        0.0297812,
        0.0302575,
        0.0325337,
        0.0313717,
        0.0297162,
        0.0291406,
        0.029183,
        0.0291227,
        0.0291113,
        0.0291315,
        0.0291279,
        0.0296717,
        0.0298448,
        0.030452,
        0.030827,
        0.0308937,
        0.0306593,
        0.0309403,
        0.0307719,
        0.0307808,
        0.0309121,
        0.0312789,
        0.0316188,
        0.0316892,
        0.0318928,
        0.031821,
        0.0323994,
        0.0327505,
        0.0335641,
        0.0344741,
        0.0343448,
        0.033439,
        0.0333008,
        0.033657,
        0.0343129,
        0.0348731,
        0.0344979,
        0.0354177,
        0.0365112,
        0.0359237,
        0.0360036,
        0.0356691,
        0.0353208,
        0.0347593,
        0.0342161,
        0.0341555,
        0.0340687,
        0.0341458,
        0.0336947,
        0.0335766,
        0.0339192,
        0.0337854,
        0.0339483,
        0.0342399,
        0.0340522,
        0.034668,
        0.0355362,
        0.0362014,
        0.0368504,
        0.0371382,
        0.0391509,
        0.0391683,
        0.0373132,
        0.0376493,
        0.0382545,
        0.0386586,
        0.0389975,
        0.0411686,
        0.0419339,
        0.0414419,
        0.0420216,
        0.0435173,
        0.0447918,
        0.0467809,
        0.0479455,
        0.0502027,
        0.050662,
        0.053158,
        0.054387,
        0.0571802,
        0.0606581,
        0.0659722,
        0.0689525,
        0.0740295,
        0.0794651,
        0.0873371,
        0.0936895,
        0.105938,
        0.124356,
        null,
        0.0269905,
        0.0266951,
        0.0264073,
        0.0267987,
        0.0264053,
        0.0256374,
        0.0255276,
        0.0254613,
        0.025536,
        0.0253257,
        0.025065,
        0.025244,
        0.0254326,
        0.0256732,
        0.0257681,
        0.0257327,
        0.0258076,
        0.0260472,
        0.0262848,
        0.0265557,
        0.0267464,
        0.0267523,
        0.026728,
        0.0265281,
        0.0261043,
        0.0258982,
        0.025835,
        0.025744,
        0.0257026,
        0.0257341,
        0.025861,
        0.0260737,
        0.0258566,
        0.0256299,
        0.0256404,
        0.0257861,
        0.0258166,
        0.0258495,
        0.0259186,
        0.0260603,
        0.0263135,
        0.0263799,
        0.0264313,
        0.0267726,
        0.0270292,
        0.0271805,
        0.0275273,
        0.0280088,
        0.0285795,
        0.0293558,
        0.0300654,
        0.0306623,
        0.0312563,
        0.0318118,
        0.0323483,
        0.0328206,
        0.032809,
        0.0323812,
        0.0316993,
        0.0314324,
        0.0315429,
        0.0317062,
        0.0317588,
        0.032181,
        0.0329937,
        0.0339948,
        0.0383677,
        0.0394948,
        0.0371438,
        0.0381541,
        0.0388791,
        0.0397797,
        0.0411927,
        0.0428983,
        0.0450836,
        0.0484776,
        0.0522637,
        0.0563303,
        0.0616082,
        0.0690337,
        0.0788515,
        0.092781,
        0.112544,
        0.140103,
        0.157718,
        0.1244,
        0.102073,
        0.0853425,
        0.0735379,
        0.065978,
        0.0598634,
        0.0551389,
        0.0514749,
        0.0486604,
        0.046307,
        0.0448666,
        0.043488,
        0.0420074,
        0.0402367,
        0.0383352,
        0.0364667,
        0.0373401,
        0.0349023,
        0.0324133,
        0.0311249,
        0.0300351,
        0.0289128,
        0.0281501,
        0.0277649,
        0.0271754,
        0.0267703,
        0.0267521,
        0.026592,
        0.0263956,
        0.026257,
        0.0262401,
        0.0261195,
        0.026188,
        0.0259656,
        0.0255362,
        0.024876,
        0.0244398,
        0.0240727,
        0.0239095,
        0.0236462,
        0.0234919,
        0.0236213,
        0.0236348,
        0.0234697,
        0.0238311,
        0.0238208,
        0.0232804,
        0.0254828,
        0.0257181,
        0.0234538,
        0.0234539,
        0.023444,
        0.0235116,
        0.0234815,
        0.0237776,
        0.0239739,
        0.0241965,
        0.0248545,
        0.0251734,
        0.0262906,
        0.0258612,
        0.0250279,
        0.0245241,
        0.0240169,
        0.0236317,
        0.023252,
        0.022986,
        0.0228215,
        0.0227081,
        0.0225737,
        0.0223912,
        0.0223214,
        0.0221741,
        0.0220756,
        0.0219002,
        0.0218479,
        0.0218177,
        0.0216646,
        0.0215799,
        0.0216063,
        0.0215655,
        0.0250051,
        0.0244492,
        0.0217569,
        0.0218675,
        0.0219018,
        0.0219258,
        0.0217757,
        0.0215358,
        0.0215909,
        0.0216538,
        0.0215464,
        0.0216708,
        0.0220374,
        0.0223427,
        0.0223995,
        0.0225391,
        0.0227604,
        0.0230443,
        0.0231737,
        0.0234081,
        0.0237305,
        0.0241561,
        0.0244472,
        0.0247482,
        0.027167,
        0.0275915,
        0.0292353,
        0.0292735,
        0.0256935,
        0.0254099,
        0.0251589,
        0.0248622,
        0.0246145,
        0.0245009,
        0.024397,
        0.0244616,
        0.0244956,
        0.0245185,
        0.0246004,
        0.0247741,
        0.0249808,
        0.0251435,
        0.0252658,
        0.0256243,
        0.0256174,
        0.0257535,
        0.0262107,
        0.0268728,
        0.0273038,
        0.027383,
        0.0275874,
        0.0280104,
        0.028561,
        0.0291262,
        0.0299789,
        0.0307214,
        0.0315622,
        0.0327459,
        0.0338642,
        0.035017,
        0.036734,
        0.0388862,
        0.0417308,
        0.0453999,
        0.0487281,
        0.0535642,
        0.0599543,
        0.0686704,
        0.0797051,
        0.0948799,
        0.116759,
        0.154298,
        0.140758,
        0.111103,
        0.0898043,
        0.0766423,
        0.066671,
        0.0600179,
        0.0552031,
        0.0508412,
        0.0466758,
        0.0472062,
        0.0444649,
        0.0415991,
        0.0391687,
        0.0347252,
        0.0332242,
        0.0322164,
        0.0311752,
        0.0304486,
        0.0298208,
        0.0290839,
        0.0279403,
        0.0271404,
        0.0263888,
        0.0258382,
        0.0255277,
        0.0251809,
        0.0248577,
        0.0292584,
        0.0300481,
        0.0251348,
        0.0242458,
        0.0240987,
        0.0240357,
        0.0242439,
        0.0243602,
        0.024509,
        0.0243727,
        0.0241574,
        0.0235935,
        0.0230596,
        0.0224775,
        0.0221364,
        0.0218956,
        0.0216674,
        0.0215915,
        0.0214858,
        0.0213467,
        0.0211415,
        0.0210183,
        0.0209658,
        0.0222537,
        0.0226653,
        0.0207623,
        0.0207476,
        0.020782,
        0.0209976,
        0.0231244,
        0.0220325,
        0.0207506,
        0.020553,
        0.020634,
        0.0208285,
        0.0208317,
        0.0208246,
        0.0206139,
        0.020606,
        0.0206712,
        0.0206307,
        0.0206134,
        0.0204758,
        0.0205844,
        0.020633,
        0.0206166,
        0.0206215,
        0.0206374,
        0.0207383,
        0.0209641,
        0.0210433,
        0.0210754,
        0.0211892,
        0.0213094,
        0.0216797,
        0.02212,
        0.0225622,
        0.0228977,
        0.0231957,
        0.0231177,
        0.0228853,
        0.022454,
        0.0220255,
        0.0215858,
        0.021232,
        0.0207825,
        0.0206351,
        0.0205267,
        0.0203093,
        0.0201731,
        0.0201579,
        0.0200476,
        0.0201262,
        0.0201776,
        0.0202341,
        0.0208331,
        0.0209026,
        0.0204643,
        0.0204805,
        0.0204232,
        0.0194555,
        0.0204283,
        0.020472,
        0.0203811,
        0.0204674,
        0.0205884,
        0.0208492,
        0.0210148,
        0.0210833,
        0.0212827,
        0.0214656,
        0.0216133,
        0.0218056,
        0.0220257,
        0.0221202,
        0.0223836,
        0.0228873,
        0.023273,
        0.0236042,
        0.0243785,
        0.0278959,
        0.0266403,
        0.025395,
        0.0263839,
        0.0275157,
        0.0289685,
        0.0306568,
        0.0328436,
        0.0356155,
        0.0378389,
        0.0389985,
        0.0384565,
        0.0372981,
        0.0361361,
        0.0355523,
        0.0353921,
        0.0355428,
        0.0361451,
        0.0373241,
        0.0392004,
        0.0412412,
        0.0441286,
        0.0475521,
        0.0522052,
        0.0577933,
        0.065963,
        0.0765346,
        0.0922199,
        0.114977,
        0.147718,
        0.201637,
        0.147523,
        0.108868,
        0.0874015,
        0.0745431,
        0.0652912,
        0.0627749,
        0.0539082,
        0.0475004,
        0.0441621,
        0.0417637,
        0.0421049,
        0.0406053,
        0.0369079,
        0.0357107,
        0.0341725,
        0.0326347,
        0.0311512,
        0.0299308,
        0.0288391,
        0.0278652,
        0.0270771,
        0.0265067,
        0.0263624,
        0.0259314,
        0.0247624,
        0.0242442,
        0.0238435,
        0.0235834,
        0.0232617,
        0.0232237,
        0.0229612,
        0.0224081,
        0.0222639,
        0.0219637,
        0.0218485,
        0.0218768,
        0.0214794,
        0.0213625,
        0.0211535,
        0.0208777,
        0.0207533,
        0.0206179,
        0.0204324,
        0.0203949,
        0.0203132,
        0.0201253,
        0.0199266,
        0.0198771,
        0.0198669,
        0.0198597,
        0.0199271,
        0.0199553,
        0.0200637,
        0.0201628,
        0.0202836,
        0.0205707,
        0.0206296,
        0.0207652,
        0.0208078,
        0.0209905,
        0.021452,
        0.0221814,
        0.0229614,
        0.0240067,
        0.0254372,
        0.0259515,
        0.0253165,
        0.0252111,
        0.0246111,
        0.0238569,
        0.0232865,
        0.0226884,
        0.0226202,
        0.0226203,
        0.0226074,
        0.0224209,
        0.0220944,
        0.0218191,
        0.0215264,
        0.0212609,
        0.0208818,
        0.0206767,
        0.0206697,
        0.0204634,
        0.0199291,
        0.0198542,
        0.01978,
        0.0197139,
        0.0197884,
        0.0201005,
        0.0202186,
        0.0201825,
        0.0199956,
        0.0197555,
        0.0195215,
        0.0195646,
        0.0195111,
        0.0195703,
        0.0194072,
        0.0193085,
        0.0194497,
        0.0209347,
        0.0214948,
        0.0195481,
        0.0196366,
        0.0198179,
        0.019787,
        0.0199828,
        0.0202821,
        0.0205904,
        0.0209253,
        0.0211375,
        0.0213877,
        0.0220831,
        0.0227497,
        0.0232253,
        0.0234338,
        0.0233242,
        0.0231159,
        0.0230155,
        0.0227533,
        0.0226667,
        0.0227839,
        0.0225747,
        0.0225125,
        0.0226708,
        0.0229125,
        0.0231147,
        0.0232645,
        0.0237337,
        0.0240326,
        0.0241836,
        0.0245411,
        0.0249092,
        0.0255088,
        0.0263206,
        0.0271464,
        0.0284279,
        0.0295993,
        0.0306653,
        0.0314759,
        0.0319841,
        0.0321842,
        0.0323882,
        0.0327886,
        0.0330907,
        0.0334204,
        0.0338884,
        0.035214,
        0.0370249,
        0.0388727,
        0.0409643,
        0.0437607,
        0.0470569,
        0.0513269,
        0.0585918,
        0.06616,
        0.0749255,
        0.0908896,
        0.116359,
        0.157417,
        0.142203,
        0.107359,
        0.0859849,
        0.0715768,
        0.060685,
        0.0535143,
        0.048204,
        0.043641,
        0.0402551,
        0.0406197,
        0.038059,
        0.0330539,
        0.0316028,
        0.0304546,
        0.0291371,
        0.0281962,
        0.0274286,
        0.0264908,
        0.0260151,
        0.0254167,
        0.0249148,
        0.0243477,
        0.0239812,
        0.0235406,
        0.0233665,
        0.0230085,
        0.0228013,
        0.0233168,
        0.023086,
        0.0222631,
        0.0221041,
        0.0220362,
        0.0218519,
        0.0217598,
        0.021729,
        0.0216071,
        0.0214364,
        0.0213318,
        0.0213016,
        0.0214809,
        0.0216747,
        0.0217606,
        0.0220609,
        0.0222931,
        0.0226322,
        0.0232533,
        0.0227341,
        0.0219735,
        0.0215482,
        0.0210836,
        0.0207239,
        0.020737,
        0.0206382,
        0.0203859,
        0.0204348,
        0.0203961,
        0.0204359,
        0.0206015,
        0.0207092,
        0.0212448,
        0.0224285,
        0.0230639,
        0.0247062,
        0.0271193,
        0.0302275,
        0.0329152,
        0.0346297,
        0.0340147,
        0.0315617,
        0.0283825,
        0.0256126,
        0.0235053,
        0.0223312,
        0.0214689,
        0.0206688,
        0.0202905,
        0.0202032,
        0.0200123,
        0.0198897,
        0.0196644,
        0.0198324,
        0.0197404,
        0.0196779,
        0.0195752,
        0.0196889,
        0.0197299,
        0.019733,
        0.0204557,
        0.02102,
        0.0226965,
        0.0225679,
        0.0197882,
        0.0201706,
        0.0209592,
        0.0209006,
        0.0208276,
        0.0212498,
        0.0216873,
        0.0218255,
        0.0219168,
        0.0213913,
        0.0209139,
        0.0205055,
        0.0202944,
        0.0200861,
        0.0198385,
        0.0195522,
        0.0216172,
        0.0204812,
        0.0190145,
        0.0190611,
        0.0190123,
        0.0189988,
        0.0190033,
        0.0196949,
        0.0201813,
        0.0189526,
        0.01887,
        0.019016,
        0.019192,
        0.019166,
        0.0192792,
        0.0195341,
        0.0195118,
        0.020508,
        0.0204151,
        0.0198526,
        0.0202443,
        0.02007,
        0.020381,
        0.0207168,
        0.0208721,
        0.0209676,
        0.0210916,
        0.0214691,
        0.0215233,
        0.0219029,
        0.0222973,
        0.0226192,
        0.02293,
        0.0235044,
        0.0242558,
        0.0248872,
        0.025784,
        0.0269462,
        0.0275432,
        0.0285202,
        0.0290559,
        0.0299944,
        0.0312929,
        0.0328001,
        0.0343597,
        0.0361787,
        0.0377421,
        0.0391438,
        0.04108,
        0.0487135,
        0.0534,
        0.0530472,
        0.0587025,
        0.0676466,
        0.08051,
        0.0993801,
        0.124544,
        0.162413,
        0.15221,
        0.114055,
        0.0891061,
        0.073449,
        0.061752,
        0.054187,
        0.0487811,
        0.0438095,
        0.0401741,
        0.0372745,
        0.0346463,
        0.0325415,
        0.0310337,
        0.0298356,
        0.028917,
        0.0277293,
        0.0271421,
        0.0267078,
        0.0271223,
        0.0322123,
        0.0303277,
        0.0251487,
        0.0251098,
        0.0251977,
        0.0251257,
        0.0255327,
        0.0256454,
        0.0258775,
        0.0262392,
        0.0263044,
        0.0260453,
        0.0258118,
        0.0252392,
        0.0249628,
        0.0244332,
        0.0236082,
        0.0229556,
        0.0225453,
        0.022127,
        0.021786,
        0.0213421,
        0.0210931,
        0.0210142,
        0.0210149,
        0.023601,
        0.0231431,
        0.0205219,
        0.0205571,
        0.0205282,
        0.0207305,
        0.0208609,
        0.0210879,
        0.0214814,
        0.0217024,
        0.0219389,
        0.0222757,
        0.0223811,
        0.0226498,
        0.0221651,
        0.0212046,
        0.0207277,
        0.0203395,
        0.0205765,
        0.0199028,
        0.0194623,
        0.0194059,
        0.0193494,
        0.0194513,
        0.0192791,
        0.0193992,
        0.0195608,
        0.0197069,
        0.019711,
        0.0198861,
        0.0199613,
        0.0202355,
        0.0202806,
        0.0203908,
        0.0207216,
        0.0211747,
        0.0213246,
        0.0220894,
        0.0224123,
        0.0264329,
        0.0261625,
        0.0219165,
        0.021434,
        0.0209822,
        0.0207839,
        0.020419,
        0.0198804,
        0.0198917,
        0.0199846,
        0.0198843,
        0.0196361,
        0.0195211,
        0.0194928,
        0.0194941,
        0.0194859,
        0.0194974,
        0.0195037,
        0.0194377,
        0.0194308,
        0.0194679,
        0.0195699,
        0.0197066,
        0.0198403,
        0.019758,
        0.0195633,
        0.0196356,
        0.0198513,
        0.0197393,
        0.0196974,
        0.0197487,
        0.0213839,
        0.020859,
        0.0200438,
        0.0204577,
        0.0231059,
        0.0227709,
        0.0201216,
        0.0202488,
        0.0204933,
        0.0207955,
        0.0208037,
        0.0209545,
        0.0210152,
        0.0211117,
        0.0233627,
        0.0241734,
        0.0225853,
        0.022762,
        0.0226239,
        0.0238149,
        0.0244045,
        0.0246522,
        0.0259598,
        0.0276693,
        0.0291175,
        0.0299907,
        0.029785,
        0.0290146,
        0.0279718,
        0.0269804,
        0.0262265,
        0.0260748,
        0.0259281,
        0.0259636,
        0.0261984,
        0.0265398,
        0.0277504,
        0.0287285,
        0.0287263,
        0.0299752,
        0.0309122,
        0.0326091,
        0.0341797,
        0.0355567,
        0.037845,
        0.0405399,
        0.0439708,
        0.0487092,
        0.056289,
        0.0659291,
        0.0707271,
        0.0848617,
        0.104473,
        0.134691,
        0.187685,
        0.152466,
        0.112365,
        0.0885776,
        0.0730179,
        0.0609808,
        0.0535522,
        0.0479867,
        0.0436114,
        0.0402519,
        0.0378346,
        0.0358797,
        0.0350792,
        0.0340522,
        0.0331317,
        0.032474,
        0.0308064,
        0.0293733,
        0.0281765,
        0.0269443,
        0.0262486,
        0.0255549,
        0.0251317,
        0.0248048,
        0.026623,
        0.0262047,
        0.0239838,
        0.0236276,
        0.023359,
        0.0230782,
        0.0238616,
        0.023295,
        0.0226006,
        0.0221352,
        0.0216501,
        0.0214528,
        0.0216055,
        0.0221357,
        0.0218244,
        0.0213066,
        0.0213083,
        0.0213259,
        0.0210926,
        0.021103,
        0.0210581,
        0.0211548,
        0.0212077,
        0.0210577,
        0.0210439,
        0.0210337,
        0.0211782,
        0.0211441,
        0.0213096,
        0.0214817,
        0.021501,
        0.0214001,
        0.0212154,
        0.0210385,
        0.0209299,
        0.0209302,
        0.021036,
        0.0210374,
        0.0209675,
        0.0210287,
        0.0210417,
        0.0221542,
        0.0251436,
        0.0254115,
        0.0225773,
        0.0225232,
        0.0262294,
        0.026121,
        0.0225973,
        0.0222815,
        0.0220095,
        0.0217761,
        0.0214307,
        0.0214238,
        0.021528,
        0.0216496,
        0.0218903,
        0.0219721,
        0.022098,
        0.0220678,
        0.0215515,
        0.0214094,
        0.0213823,
        0.021346,
        0.0213209,
        0.0216412,
        0.0219657,
        0.0219272,
        0.0222244,
        0.0224467,
        0.0224653,
        0.0226116,
        0.022648,
        0.0229095,
        0.0228815,
        0.0228921,
        0.0227945,
        0.0227675,
        0.0227396,
        0.0242153,
        0.0231915,
        0.022069,
        0.0218871,
        0.0218864,
        0.0218591,
        0.0220739,
        0.0219024,
        0.0218568,
        0.0227162,
        0.0232393,
        0.0223514,
        0.0223912,
        0.0226636,
        0.0225899,
        0.0225682,
        0.022536,
        0.0225389,
        0.0229788,
        0.0231925,
        0.0234517,
        0.0239087,
        0.0248543,
        0.0252145,
        0.0250624,
        0.0254887,
        0.0255006,
        0.0251765,
        0.0249615,
        0.0245173,
        0.0241756,
        0.0236553,
        0.0234293,
        0.0232202,
        0.0228075,
        0.0228402,
        0.0227368,
        0.0224694,
        0.0221055,
        0.0220131,
        0.0219698,
        0.022148,
        0.0220376,
        0.0220098,
        0.0222439,
        0.0224502,
        0.0226854,
        0.0229789,
        0.0233355,
        0.0236394,
        0.0239993,
        0.0244736,
        0.0250492,
        0.0267637,
        0.0280095,
        0.0278704,
        0.0287503,
        0.0314653,
        0.0330228,
        0.0334728,
        0.0354956,
        0.0431122,
        0.0468503,
        0.0459623,
        0.0520568,
        0.0604151,
        0.0709691,
        0.0871953,
        0.111097,
        0.148092,
        0.138906,
        0.116377,
        0.086254,
        0.0661347,
        0.0561946,
        0.0502761,
        0.0453208,
        0.0401564,
        0.0370376,
        0.0343429,
        0.0324336,
        0.0307377,
        0.0295356,
        0.0285415,
        0.0274284,
        0.0319349,
        0.0314644,
        0.0250723,
        0.0245148,
        0.0243948,
        0.0239408,
        0.0234631,
        0.0232103,
        0.0229775,
        0.0225973,
        0.0222982,
        0.022275,
        0.0223719,
        0.0223572,
        0.0223447,
        0.0218429,
        0.0218413,
        0.0219226,
        0.0220475,
        0.0222615,
        0.0225656,
        0.0226293,
        0.022592,
        0.0227173,
        0.0228201,
        0.0229211,
        0.0229545,
        0.0229542,
        0.0226978,
        0.0225609,
        0.0223636,
        0.0220116,
        0.0220339,
        0.0221648,
        0.0220655,
        0.0220578,
        0.0219898,
        0.0219866,
        0.0221165,
        0.0223117,
        0.0227465,
        0.0233995,
        0.0238941,
        0.0235652,
        0.0234469,
        0.0235737,
        0.0232886,
        0.0274725,
        0.0269894,
        0.0226626,
        0.0220236,
        0.0210763,
        0.0206157,
        0.0204316,
        0.0201201,
        0.0199091,
        0.0200007,
        0.0198922,
        0.0196894,
        0.0195946,
        0.0196634,
        0.0196364,
        0.0195768,
        0.0194764,
        0.0194518,
        0.0194324,
        0.0193696,
        0.0196533,
        0.0196855,
        0.0196939,
        0.0197053,
        0.0195833,
        0.0197102,
        0.0193557,
        0.0191098,
        0.0189863,
        0.0189881,
        0.0191028,
        0.0191317,
        0.0191746,
        0.0192517,
        0.0193869,
        0.0194482,
        0.0199251,
        0.0199919,
        0.020017,
        0.0198493,
        0.019857,
        0.0199508,
        0.0201688,
        0.0204258,
        0.0205995,
        0.020709,
        0.0206036,
        0.0207748,
        0.0210007,
        0.0210179,
        0.0211304,
        0.0214226,
        0.0216869,
        0.0219805,
        0.0252218,
        0.0256527,
        0.022924,
        0.0224499,
        0.0246786,
        0.0244318,
        0.0221587,
        0.0216847,
        0.0214253,
        0.0214167,
        0.0226347,
        0.0231717,
        0.0218917,
        0.0216155,
        0.0214629,
        0.0213949,
        0.021235,
        0.0210615,
        0.0211218,
        0.0212765,
        0.0215512,
        0.0214986,
        0.0213328,
        0.0215506,
        0.0218086,
        0.0217564,
        0.0217566,
        0.0218797,
        0.0220056,
        0.0222062,
        0.0223362,
        0.0225404,
        0.0227247,
        0.0230356,
        0.0234294,
        0.0237608,
        0.023977,
        0.0244123,
        0.0246843,
        0.0250837,
        0.0255974,
        0.0261316,
        0.0270446,
        0.0279805,
        0.0286754,
        0.0292767,
        0.0302485,
        0.0314843,
        0.0331122,
        0.0349463,
        0.0378015,
        0.0412353,
        0.0451391,
        0.0494999,
        0.0566068,
        0.0662121,
        0.0823926,
        0.105516,
        0.130622,
        0.182237,
        0.171207,
        0.12439,
        0.0953497,
        0.0767326,
        0.0647712,
        0.0556166,
        0.0492296,
        0.0443679,
        0.0407635,
        0.0383247,
        0.0359392,
        0.0342104,
        0.0329962,
        0.0317619,
        0.0303313,
        0.0292478,
        0.0284614,
        0.027833,
        0.0269301,
        0.0264543,
        0.0260604,
        0.0257117,
        0.0252226,
        0.0245932,
        0.0245049,
        0.0240565,
        0.0238157,
        0.0238341,
        0.0237279,
        0.0234875,
        0.0238004,
        0.0237275,
        0.0235575,
        0.0234852,
        0.0233746,
        0.0229886,
        0.0229877,
        0.0229013,
        0.0230263,
        0.0230015,
        0.0230166,
        0.02297,
        0.0229413,
        0.0229712,
        0.0229604,
        0.022947,
        0.0230807,
        0.0237211,
        0.0237894,
        0.0239759,
        0.0243511,
        0.0247091,
        0.0250466,
        0.025037,
        0.0262429,
        0.0259938,
        0.0241915,
        0.0240889,
        0.0267627,
        0.0259425,
        0.0235969,
        0.0235647,
        0.0236992,
        0.0238947,
        0.0239382,
        0.0240487,
        0.0240166,
        0.0241486,
        0.0241539,
        0.0242364,
        0.0246037,
        0.0249677,
        0.0250598,
        0.025241,
        0.0253292,
        0.0256773,
        0.0263068,
        0.0267188,
        0.0271195,
        0.0276549,
        0.0284121,
        0.0291102,
        0.0300275,
        0.0308276,
        0.0314806,
        0.0314645,
        0.0312713,
        0.0311019,
        0.0313636,
        0.0327671,
        0.0324509,
        0.0309956,
        0.0314992,
        0.0318173,
        0.0324646,
        0.0329761,
        0.0337158,
        0.0348905,
        0.0357614,
        0.036952,
        0.0387975,
        0.0411562,
        0.0440374,
        0.0474019,
        0.0511277,
        0.0545285,
        0.0597623,
        0.0667611,
        0.0765258,
        0.0897536,
        0.109265,
        0.138178,
        0.175668,
        0.186104,
        0.144843,
        0.114593,
        0.0948998,
        0.0819587,
        0.0708531,
        0.0630903,
        0.0579079,
        0.0563788,
        0.0614713,
        0.0520927,
        0.0449996,
        0.0428106,
        0.0410436,
        0.040658,
        0.0396787,
        0.0388386,
        0.0383533,
        0.0366903,
        0.0359775,
        0.0359508,
        0.0361509,
        0.0360942,
        0.0359251,
        0.0351144,
        0.0346159,
        0.0339687,
        0.0332382,
        0.0325106,
        0.0317378,
        0.0310479,
        0.031054,
        0.0311765,
        0.0335508,
        0.0335907,
        0.0313404,
        0.0313778,
        0.0314768,
        0.0321284,
        0.0330513,
        0.0331865,
        0.0339426,
        0.0352228,
        0.0422866,
        0.0435078,
        0.0461671,
        0.0426997,
        0.0456581,
        0.0487418,
        0.0532177,
        0.0598072,
        0.0672675,
        0.077501,
        0.0905622,
        0.114872,
        0.151099,
        0.20383,
        0.217137,
        0.146516,
        0.109743,
        0.087072,
        0.0853145,
        0.0729752,
        0.0680002,
        0.0614485,
        0.0451923,
        0.0418389,
        0.0396318,
        0.0380927,
        0.0368671,
        0.0350639,
        0.0337676,
        0.0325689,
        0.0318059,
        0.031109,
        0.0305761,
        0.0302739,
        0.0300819,
        0.0300787,
        0.0342993,
        0.0316841,
        0.0291986,
        0.0285955,
        0.0277767,
        0.0306971,
        0.0303099,
        0.0268905,
        0.0266538,
        0.0264506,
        0.026217,
        0.0260351,
        0.0260289,
        0.025882,
        0.0258765,
        0.0260651,
        0.0261452,
        0.0262507,
        0.0260226,
        0.0257894,
        0.0258792,
        0.0258791,
        0.0257327,
        0.0258165,
        0.0261097,
        0.0261682,
        0.0260722,
        0.0260754,
        0.025978,
        0.0258975,
        0.0256132,
        0.0251545,
        0.0247669,
        0.0247533,
        0.0243981,
        0.0243358,
        0.0244254,
        0.0244297,
        0.0247529,
        0.0248794,
        0.0249678,
        0.0249489,
        0.0250653,
        0.0249939,
        0.0250633,
        0.0296245,
        0.0294215,
        0.0249038,
        0.0249187,
        0.02481,
        0.0249291,
        0.0249484,
        0.0251151,
        0.0250663,
        0.0248655,
        0.0247796,
        0.0250522,
        0.0253998,
        0.0253234,
        0.0252211,
        0.0250599,
        0.0249725,
        0.024932,
        0.0250244,
        0.0250884,
        0.0253759,
        0.0254951,
        0.0253903,
        0.0276227,
        0.0278246,
        0.0259038,
        0.0256557,
        0.0257626,
        0.0256569,
        0.0255351,
        0.0256454,
        0.025614,
        0.0254879,
        0.0254136,
        0.0253627,
        0.0253842,
        0.0255835,
        0.0257625,
        0.0260161,
        0.0260319,
        0.0265108,
        0.0269533,
        0.0268516,
        0.0269639,
        0.0267473,
        0.0268112,
        0.0267064,
        0.0266628,
        0.0267288,
        0.0263018,
        0.0260053,
        0.026254,
        0.0259692,
        0.025773,
        0.0259192,
        0.0262231,
        0.0264849,
        0.0275502,
        0.0282741,
        0.0268457,
        0.0267282,
        0.027025,
        0.0271407,
        0.027377,
        0.0276163,
        0.0276305,
        0.027804,
        0.0277469,
        0.0278564,
        0.0278253,
        0.0280019,
        0.0280947,
        0.0281157,
        0.0283161,
        0.0282141,
        0.0283742,
        0.0288036,
        0.0289718,
        0.0289249,
        0.0292254,
        0.0295554,
        0.0300731,
        0.0299519,
        0.0302279,
        0.0308351,
        0.0309392,
        0.0308568,
        0.0312512,
        0.0309937,
        0.0312536,
        0.0316357,
        0.0321573,
        0.0323719,
        0.0325247,
        0.0328427,
        0.0344728,
        0.0347049,
        0.033941,
        0.0345804,
        0.0362508,
        0.037116,
        0.0382312,
        0.0392157,
        0.0396693,
        0.0406161,
        0.0418441,
        0.0443426,
        0.0462614,
        0.0469601,
        0.049654,
        0.0528255,
        0.0568005,
        0.0619952,
        0.0685356,
        0.0790771,
        0.0940215,
        0.116215,
        0.149879,
        0.15664,
        0.123913,
        0.10137,
        0.0846514,
        0.075419,
        0.0686872,
        0.0637171,
        0.0585914,
        0.0560044,
        0.054923,
        0.0544676,
        0.053405,
        0.0537566,
        0.0534387,
        0.0528443,
        0.0526335,
        0.0534378,
        0.0542068,
        0.0559518,
        0.0562915,
        0.0567354,
        0.0578705,
        0.0589631,
        0.0605984,
        0.0618182,
        0.0632749,
        0.0660228,
        0.0688862,
        0.0716447,
        0.0742203,
        0.0776777,
        0.0817345,
        0.0860644,
        0.0894604,
        0.09629,
        0.101882,
        0.10838,
        0.118084,
        0.128494,
        0.148572,
        0.161304,
        0.179609,
        0.224679,
        0.196809,
        0.174578,
        0.155054,
        0.141789,
        0.132619,
        0.120358,
        0.112353,
        0.102642,
        0.0953906,
        0.0905735,
        0.0854564,
        0.0814043,
        0.0788687,
        0.0739525,
        0.0695875,
        0.0670046,
        0.0642734,
        0.0627547,
        0.061104,
        0.0588558,
        0.0568031,
        0.0559418,
        0.0549484,
        0.0533853,
        0.0527851,
        0.0525405,
        0.0515673,
        0.0502942,
        0.0495247,
        0.0483222,
        0.0471316,
        0.0469036,
        0.0450497,
        0.0440638,
        0.0439778,
        0.0427645,
        0.0418207,
        0.0417491,
        0.0406377,
        0.0400734,
        0.0397889,
        0.0398136,
        0.039341,
        0.0387072,
        0.0377731,
        0.0372277,
        0.0366183,
        0.036069,
        0.035915,
        0.0361589,
        0.0358888,
        0.0356644,
        0.0354813,
        0.0356543,
        0.0354451,
        0.0350371,
        0.0348247,
        0.0346172,
        0.0345683,
        0.0344335,
        0.0345415,
        0.0340097,
        0.0338897,
        0.0341881,
        0.034365,
        0.034583,
        0.0340809,
        0.0340052,
        0.034021,
        0.0341058,
        0.0343613,
        0.0344697,
        0.0345952,
        0.0404788,
        0.0404304,
        0.0344812,
        0.0348938,
        0.0350179,
        0.0352894,
        0.0354803,
        0.0355749,
        0.0359242,
        0.0360929,
        0.0366735,
        0.0370574,
        0.0375448,
        0.0458949,
        0.0461562,
        0.0385479,
        0.0388662,
        0.0395952,
        0.0403135,
        0.041269,
        0.0420565,
        0.0430278,
        0.0445413,
        0.045576,
        0.0470389,
        0.0485388,
        0.0513983,
        0.0553953,
        0.0611399,
        0.0676947,
        0.0797666,
        0.093944,
        0.11629,
        0.150973,
        0.201966,
        0.14015,
        0.110634,
        0.0895883,
        0.0775851,
        0.0675397,
        0.0601258,
        0.0534869,
        0.0492764,
        0.0461394,
        0.0445576,
        0.0426614,
        0.0414458,
        0.0404913,
        0.0391506,
        0.0380233,
        0.0375457,
        0.0370565,
        0.0365861,
        0.0362365,
        0.0360563,
        0.0358804,
        0.035642,
        0.0355415,
        0.0354662,
        0.0356313,
        0.035429,
        0.0354987,
        0.0356932,
        0.0350446,
        0.0338751,
        0.0349608,
        0.0344238,
        0.0354777,
        0.0348286,
        0.0399161,
        0.0401413,
        0.0349156,
        0.0354539,
        0.0360962,
        0.0364054,
        0.0362488,
        0.0366665,
        0.0363276,
        0.0368031,
        0.0370274,
        0.0375648,
        0.0384174,
        0.0385705,
        0.0382513,
        0.0380245,
        0.037239,
        0.0370342,
        0.036715,
        0.0370664,
        0.0368226,
        0.0407919,
        0.0406875,
        0.0357396,
        0.0350404,
        0.0354844,
        0.0362892,
        0.0361182,
        0.0359249,
        0.0356204,
        0.0356352,
        0.0359268,
        0.0361072,
        0.036421,
        0.0368397,
        0.0370769,
        0.0365809,
        0.0364184,
        0.0365505,
        0.0374599,
        0.0373111,
        0.0376691,
        0.0373399,
        0.037461,
        0.0377989,
        0.0375047,
        0.0374222,
        0.0381351,
        0.0384203,
        0.0387578,
        0.0386877,
        0.0389443,
        0.0390982,
        0.0401091,
        0.040249,
        0.043791,
        0.0443579,
        0.0409241,
        0.0413871,
        0.0415465,
        0.042477,
        0.0434682,
        0.0438445,
        0.0440502,
        0.0437616,
        0.043758,
        0.044586,
        0.0454869,
        0.0458394,
        0.046036,
        0.046685,
        0.0473759,
        0.0478812,
        0.0487473,
        0.0488607,
        0.0495622,
        0.0508478,
        null,
        0.0277138,
        0.0273846,
        0.027097,
        0.0269769,
        0.0267638,
        0.0264715,
        0.0261949,
        0.0258403,
        0.0256112,
        0.0256019,
        0.0256565,
        0.0257232,
        0.025741,
        0.0255998,
        0.0256206,
        0.0255363,
        0.0253673,
        0.0252387,
        0.0252403,
        0.0251162,
        0.0252623,
        0.0255579,
        0.0256896,
        0.0257433,
        0.0259758,
        0.0262027,
        0.0263524,
        0.0266543,
        0.0270157,
        0.0267667,
        0.0264031,
        0.0263904,
        0.0263124,
        0.0263962,
        0.0261374,
        0.0257388,
        0.0255767,
        0.0255291,
        0.0254437,
        0.0253072,
        0.0251969,
        0.0249262,
        0.026314,
        0.0265116,
        0.0252285,
        0.025097,
        0.0250756,
        0.0250997,
        0.0249895,
        0.0248474,
        0.0247708,
        0.0246013,
        0.0245247,
        0.0244038,
        0.0240674,
        0.0237363,
        0.0235836,
        0.0235383,
        0.0234573,
        0.0234982,
        0.0235089,
        0.0234096,
        0.023425,
        0.0236278,
        0.0236614,
        0.0237234,
        0.0239158,
        0.0240965,
        0.0241749,
        0.0240154,
        0.0237903,
        0.0234995,
        0.0234832,
        0.0233957,
        0.0234972,
        0.0237284,
        0.0238314,
        0.0236769,
        0.0235313,
        0.023574,
        0.0236095,
        0.0236726,
        0.0236916,
        0.0237614,
        0.0242802,
        0.0243318,
        0.024067,
        0.0240187,
        0.0238922,
        0.024178,
        0.0242611,
        0.0238262,
        0.0237473,
        0.023597,
        0.0235453,
        0.0234228,
        0.0233729,
        0.0232536,
        0.023387,
        0.0233182,
        0.0233235,
        0.0234066,
        0.0233485,
        0.023437,
        0.0234212,
        0.0233382,
        0.0233746,
        0.0234454,
        0.0231042,
        0.0231857,
        0.0231574,
        0.0230501,
        0.0229277,
        0.0229378,
        0.0228352,
        0.022699,
        0.0227611,
        0.0226876,
        0.0226287,
        0.0230615,
        0.0230354,
        0.0227698,
        0.0228876,
        0.0228565,
        0.0229922,
        0.0227991,
        0.0230092,
        0.0233363,
        0.0235831,
        0.0237778,
        0.0239744,
        0.0241752,
        0.0244529,
        0.0251478,
        0.026035,
        0.026951,
        0.0283036,
        0.0302843,
        0.0326546,
        0.0351754,
        0.039037,
        0.0441781,
        0.0509178,
        0.0590718,
        0.0658176,
        0.0678709,
        0.0627735,
        0.0541572,
        0.046134,
        0.0407214,
        0.0366731,
        0.0334441,
        0.0313658,
        0.0298077,
        0.0283771,
        0.0274468,
        0.026617,
        0.0260866,
        0.0256979,
        0.0253409,
        0.0250795,
        0.0249016,
        0.0247495,
        0.0245872,
        0.024701,
        0.0245883,
        0.0243552,
        0.0242417,
        0.0241892,
        0.0241377,
        0.0238184,
        0.0243856,
        0.0247636,
        0.0240897,
        0.0242753,
        0.025171,
        0.0254476,
        0.0254816,
        0.025598,
        0.0253808,
        0.0252433,
        0.0252132,
        0.0250463,
        0.0250374,
        0.0247559,
        0.024485,
        0.0244375,
        0.0245395,
        0.0248443,
        0.0249159,
        0.0247516,
        0.0245476,
        0.0243987,
        0.025003,
        0.0250458,
        0.0246732,
        0.0250121,
        0.0254983,
        0.0259565,
        0.0264389,
        0.0270557,
        0.0272937,
        0.0273274,
        0.0272882,
        0.0273744,
        0.0275114,
        0.02785,
        0.0281645,
        0.0284137,
        0.0289312,
        0.0295856,
        0.030863,
        0.0312176,
        0.0301967,
        0.030383,
        0.030627,
        0.0313613,
        0.0323663,
        0.0333218,
        0.03429,
        0.0351548,
        0.0358903,
        0.0366212,
        0.0374057,
        0.0417714,
        0.0430558,
        0.0430796,
        0.0462222,
        0.0472662,
        0.0514059,
        0.0543858,
        0.0573725,
        0.0615582,
        0.0662961,
        0.072936,
        0.0824891,
        0.096737,
        0.115978,
        0.144957,
        0.186389,
        0.16517,
        0.134727,
        0.112646,
        0.0976833,
        0.0857367,
        0.0754964,
        0.0691435,
        0.0656268,
        0.0622316,
        0.0590504,
        0.0550436,
        0.0525235,
        0.0511943,
        0.0503562,
        0.0492433,
        0.0479216,
        0.0467611,
        0.0457889,
        0.0454061,
        0.045731,
        0.045291,
        0.0445791,
        0.0440509,
        0.0444123,
        0.0451356,
        0.0447857,
        0.0446922,
        0.0445718,
        0.0446883,
        0.0446971,
        0.0450308,
        0.044936,
        0.0449551,
        0.0443451,
        0.0437263,
        0.0429138,
        0.0423054,
        0.0411344,
        0.0390025,
        0.0362201,
        0.0332778,
        0.030604,
        0.0289564,
        0.0301709,
        0.0292847,
        0.0260671,
        0.0260203,
        0.0260847,
        0.0258059,
        0.0257043,
        0.0257303,
        0.0258234,
        0.0259808,
        0.026323,
        0.0269434,
        0.0286501,
        0.0304523,
        0.0329202,
        0.0362409,
        0.0403335,
        0.0445244,
        0.0469906,
        0.0467531,
        0.0433496,
        0.0384706,
        0.0347202,
        0.031699,
        0.0293747,
        0.027569,
        0.0261983,
        0.0254247,
        0.0248197,
        0.0244013,
        0.0238744,
        0.0234151,
        0.023129,
        0.0230644,
        0.0227284,
        0.0224936,
        0.0222918,
        0.0220048,
        0.0216656,
        0.0214437,
        0.0214126,
        0.021173,
        0.0211027,
        0.0209639,
        0.0208253,
        0.0215204,
        0.0220887,
        0.0207124,
        0.0206027,
        0.0205956,
        0.0204192,
        0.0205296,
        0.0215327,
        0.0203524,
        0.0202156,
        0.0202468,
        0.019977,
        0.0198044,
        0.0196936,
        0.0196357,
        0.0195012,
        0.0193081,
        0.0192849,
        0.0193508,
        0.0191538,
        0.0209014,
        0.0208925,
        0.0188352,
        0.0187161,
        0.018831,
        0.0188551,
        0.0188092,
        0.0187303,
        0.018742,
        0.0188493,
        0.0188768,
        0.0187755,
        0.0188437,
        0.0189028,
        0.0188847,
        0.0192214,
        0.0193286,
        0.0192281,
        0.0191941,
        0.0193097,
        0.0193713,
        0.0194408,
        0.019563,
        0.02109,
        0.0209976,
        0.019726,
        0.0199195,
        0.0198415,
        0.0198942,
        0.0199961,
        0.020182,
        0.0202889,
        0.0202263,
        0.0200323,
        0.0198102,
        0.019782,
        0.0195068,
        0.0193378,
        0.0192305,
        0.0192954,
        0.0193047,
        0.0193126,
        0.0230047,
        0.0233046,
        0.0193028,
        0.0190749,
        0.0191227,
        0.0188937,
        0.0187859,
        0.0186971,
        0.0186346,
        0.0185329,
        0.0185272,
        0.0186362,
        0.0185715,
        0.0184631,
        0.0184267,
        0.0184688,
        0.018332,
        0.0183047,
        0.0182167,
        0.0180768,
        0.0180144,
        0.0180607,
        0.020446,
        0.0204706,
        0.0179343,
        0.0180012,
        0.0181087,
        0.0180612,
        0.0181596,
        0.0181432,
        0.0182208,
        0.0183978,
        0.0184264,
        0.0184459,
        0.0184196,
        0.0184007,
        0.0185493,
        0.0187155,
        0.0187413,
        0.0189897,
        0.019204,
        0.0192705,
        0.0190574,
        0.0191159,
        0.0192363,
        0.0192359,
        0.0192069,
        0.0190988,
        0.0189809,
        0.0189399,
        0.0189943,
        0.0191974,
        0.0192087,
        0.0191682,
        0.0192124,
        0.0193536,
        0.0217934,
        0.0206675,
        0.0196227,
        0.0198095,
        0.0197549,
        0.0196342,
        0.0196546,
        0.0197263,
        0.0198549,
        0.0199736,
        0.0202983,
        0.0206087,
        0.0218152,
        0.0217421,
        0.0213404,
        0.0213895,
        0.0216558,
        0.0218347,
        0.0222036,
        0.022621,
        0.0241339,
        0.0254971,
        0.0257639,
        0.0313739,
        0.0345838,
        0.0324804,
        0.034028,
        0.0338089,
        0.0318418,
        0.0293809,
        0.0271623,
        0.025266,
        0.0238786,
        0.0230051,
        0.0224716,
        0.0221595,
        0.0219701,
        0.0218757,
        0.0216261,
        0.0213962,
        0.0209846,
        0.0206962,
        0.0202688,
        0.0198759,
        0.0197196,
        0.019497,
        0.0193946,
        0.0195575,
        0.0197484,
        0.0198273,
        0.0198352,
        0.0199751,
        0.0202678,
        0.0205803,
        0.0207974,
        0.0209952,
        0.0211365,
        0.0208834,
        0.0205574,
        0.0202568,
        0.0200382,
        0.0212102,
        0.0200892,
        0.0191584,
        0.0189753,
        0.0189334,
        0.0186982,
        0.0187387,
        0.0184774,
        0.018512,
        0.0185981,
        0.0184014,
        0.0182813,
        0.0194352,
        0.0189472,
        0.018606,
        0.0184259,
        0.0183722,
        0.018342,
        0.0182668,
        0.0181063,
        0.0180581,
        0.0179936,
        0.0179285,
        0.0178742,
        0.0179959,
        0.0179134,
        0.0180041,
        0.017955,
        0.0179685,
        0.0179727,
        0.0179233,
        0.0180178,
        0.0180566,
        0.0181691,
        0.0184798,
        0.0185761,
        0.0185631,
        0.018564,
        0.018637,
        0.0187372,
        0.0185096,
        0.0184347,
        0.01854,
        0.0184837,
        0.019006,
        0.0194684,
        0.0209932,
        0.0211319,
        0.0188697,
        0.0188065,
        0.0188709,
        0.018819,
        0.018879,
        0.0190518,
        0.0190467,
        0.0191132,
        0.0192705,
        0.019288,
        0.0191086,
        0.0190927,
        0.0192691,
        0.0194094,
        0.0192478,
        0.0193385,
        0.0193708,
        0.0192122,
        0.0191647,
        0.019198,
        0.0191566,
        0.0191491,
        0.0192173,
        0.0191364,
        0.0191679,
        0.0192079,
        0.0194102,
        0.0194466,
        0.0193153,
        0.0191746,
        0.0192291,
        0.0193887,
        0.0195174,
        0.0220313,
        0.0221108,
        0.0224915,
        0.0227787,
        0.0200956,
        0.0200775,
        0.0203731,
        0.0205385,
        0.0206412,
        0.022628,
        0.0225358,
        0.0206581,
        0.0207814,
        0.0209404,
        0.0211811,
        0.021445,
        0.0215505,
        0.0218454,
        0.0222156,
        0.0228027,
        0.0233647,
        0.0236537,
        0.0244139,
        0.0252231,
        0.0261641,
        0.0274481,
        0.0287174,
        0.0299829,
        0.0314668,
        0.0336189,
        0.0358882,
        0.0385945,
        0.0417348,
        0.0455634,
        0.0501288,
        0.0561518,
        0.0637197,
        0.0737726,
        0.0849431,
        0.0966989,
        0.105818,
        0.113347,
        0.115054,
        0.106273,
        0.0922738,
        0.0796949,
        0.0686264,
        0.060847,
        0.0536171,
        0.0482134,
        0.0442735,
        0.041425,
        0.0393358,
        0.0375352,
        0.0363306,
        0.0361317,
        0.0364792,
        0.0370725,
        0.036547,
        0.0355307,
        0.0332832,
        0.0308899,
        0.0288286,
        0.026893,
        0.0254352,
        0.0242671,
        0.0233659,
        0.0227872,
        0.0224465,
        0.0217498,
        0.0212243,
        0.0210078,
        0.020656,
        0.0204274,
        0.0202195,
        0.0200102,
        0.019874,
        0.0198446,
        0.0196545,
        0.0196035,
        0.0195658,
        0.0194916,
        0.0193949,
        0.019483,
        0.0194321,
        0.0194488,
        0.0194751,
        0.0193573,
        0.0190938,
        0.0190223,
        0.0189909,
        0.0189486,
        0.0190994,
        0.0192368,
        0.0191207,
        0.0199587,
        0.0200153,
        0.0188926,
        0.0190105,
        0.0190569,
        0.0190218,
        0.0189751,
        0.0190563,
        0.0190478,
        0.0220474,
        0.0211865,
        0.0191851,
        0.0191267,
        0.0280644,
        0.0311686,
        0.0201685,
        0.0192222,
        0.0191172,
        0.0192926,
        0.0194299,
        0.0194367,
        0.0194215,
        0.0196129,
        0.0194201,
        0.0213794,
        0.0204176,
        0.0193238,
        0.0193342,
        0.0192108,
        0.0189458,
        0.0187608,
        0.018475,
        0.018351,
        0.0181748,
        0.0180749,
        0.0211264,
        0.0211414,
        0.0177198,
        0.0178027,
        0.017855,
        0.0179685,
        0.0182246,
        0.0215756,
        0.0207772,
        0.0178551,
        0.0179376,
        0.0179254,
        0.0179794,
        0.0180348,
        0.0179407,
        0.0177981,
        0.0178547,
        0.017878,
        0.0178085,
        0.0178255,
        0.0178144,
        0.0178412,
        0.0179963,
        0.0180587,
        0.019235,
        0.0184818,
        0.0180863,
        0.018272,
        0.0184655,
        0.0187587,
        0.0188487,
        0.0222158,
        0.0219218,
        0.0185303,
        0.0185309,
        0.0184508,
        0.0183239,
        0.0184606,
        0.0184397,
        0.0186125,
        0.0185066,
        0.0183246,
        0.0180517,
        0.017973,
        0.0180917,
        0.0179029,
        0.0178886,
        0.0179529,
        0.0178927,
        0.0177867,
        0.0178195,
        0.0177954,
        0.0177459,
        0.0178654,
        0.0178856,
        0.0178493,
        0.017772,
        0.0176183,
        0.0175231,
        0.017681,
        0.0176809,
        0.0176584,
        0.0175695,
        0.0174636,
        0.0174418,
        0.0174341,
        0.0174693,
        0.0175997,
        0.0174585,
        0.0176074,
        0.0177242,
        0.0177985,
        0.0178487,
        0.018079,
        0.0181474,
        0.0181443,
        0.01833,
        0.0185629,
        0.0197145,
        0.0192156,
        0.0185002,
        0.0185212,
        0.0184202,
        0.0184759,
        0.0185186,
        0.0185515,
        0.0186705,
        0.0189904,
        0.0188433,
        0.0189254,
        0.0189911,
        0.0191567,
        0.0192524,
        0.019474,
        0.019702,
        0.0200907,
        0.0202816,
        0.0207713,
        0.0214266,
        0.022365,
        0.0231845,
        0.0251996,
        0.026336,
        0.0269106,
        0.0272963,
        0.0273099,
        0.0264246,
        0.0250415,
        0.023984,
        0.0231863,
        0.0225673,
        0.0218494,
        0.0213926,
        0.0211884,
        0.0208074,
        0.0204401,
        0.020159,
        0.0200472,
        0.0198288,
        0.0195503,
        0.01932,
        0.0192356,
        0.0190733,
        0.0190893,
        0.0190631,
        0.0189388,
        0.0188542,
        0.0188272,
        0.0187354,
        0.0188907,
        0.0188826,
        0.0187025,
        0.0186145,
        0.018904,
        0.018809,
        0.0185385,
        0.0185018,
        0.0186944,
        0.0187493,
        0.0187018,
        0.018619,
        0.0184334,
        0.0182638,
        0.0181683,
        0.0181387,
        0.0197514,
        0.0201984,
        0.0183649,
        0.0184812,
        0.0183275,
        0.0184781,
        0.0187039,
        0.0185108,
        0.0185933,
        0.0189775,
        0.0189829,
        0.018767,
        0.0188623,
        0.0189601,
        0.0194865,
        0.0200215,
        0.0196955,
        0.0196762,
        0.0194703,
        0.0192025,
        0.0208926,
        0.0207084,
        0.0201634,
        0.0194423,
        0.0186596,
        0.0186272,
        0.0185864,
        0.0184302,
        0.0184751,
        0.0183314,
        0.018363,
        0.0183658,
        0.0184208,
        0.0185176,
        0.0185613,
        0.018429,
        0.0183721,
        0.0182942,
        0.0181081,
        0.0181115,
        0.0179665,
        0.017799,
        0.0177429,
        0.0177631,
        0.0177854,
        0.0177639,
        0.0179304,
        0.0179962,
        0.01802,
        0.017993,
        0.0179687,
        0.0177776,
        0.0181325,
        0.0183917,
        0.0182513,
        0.0181535,
        0.0179566,
        0.0177846,
        0.0177648,
        0.0176789,
        0.0176609,
        0.0178014,
        0.0177743,
        0.0179539,
        0.0181573,
        0.0180955,
        0.0178888,
        0.017966,
        0.0180134,
        0.0181112,
        0.0183713,
        0.0185526,
        0.0186462,
        0.0185655,
        0.0184734,
        0.018482,
        0.018588,
        0.0203156,
        0.020404,
        0.0185351,
        0.0188247,
        0.0189121,
        0.0185452,
        0.0184019,
        0.0185192,
        0.0188638,
        0.0187961,
        0.018479,
        0.0185255,
        0.018535,
        0.0186422,
        0.0185199,
        0.0186916,
        0.0188263,
        0.0187087,
        0.018397,
        0.0183285,
        0.0185663,
        0.0186978,
        0.0186502,
        0.0185819,
        0.0187795,
        0.0189566,
        0.0188817,
        0.0186504,
        0.01949,
        0.0192144,
        0.0180849,
        0.0181346,
        0.0180718,
        0.0181622,
        0.0183898,
        0.0183095,
        0.0182774,
        0.0182862,
        0.0183329,
        0.0181695,
        0.0180277,
        0.0179026,
        0.0180754,
        0.01826,
        0.0183711,
        0.0185141,
        0.0183569,
        0.0184318,
        0.018703,
        0.0188748,
        0.0188789,
        0.0191353,
        0.0193546,
        0.0197862,
        0.0204068,
        0.020872,
        0.0211883,
        0.0217964,
        0.0227422,
        0.023366,
        0.0234646,
        0.0235998,
        0.023058,
        0.0227515,
        0.0222925,
        0.0220762,
        0.0218957,
        0.0221508,
        0.0226277,
        0.0228372,
        0.023015,
        0.0227951,
        0.0217155,
        0.0210022,
        0.0205138,
        0.0201966,
        0.0199753,
        0.019929,
        0.0198688,
        0.0194356,
        0.0193881,
        0.0210542,
        0.0208947,
        0.0191615,
        0.0191869,
        0.0191256,
        0.0207453,
        0.0199164,
        0.022263,
        0.0209249,
        0.0184668,
        0.0184189,
        0.0184582,
        0.0183623,
        0.0184615,
        0.0185378,
        0.0185689,
        0.0190847,
        0.0188331,
        0.0188368,
        0.0191662,
        0.0184545,
        0.0199136,
        0.0206073,
        0.0198735,
        0.0186522,
        0.0184969,
        0.0186911,
        0.0188653,
        0.019742,
        0.0189307,
        0.0189092,
        0.0190973,
        0.0191459,
        0.0190401,
        0.0189208,
        0.0191061,
        0.018984,
        0.019204,
        0.0190879,
        0.0189418,
        0.0190905,
        0.0191808,
        0.0190509,
        0.0191298,
        0.0191037,
        0.0191463,
        0.019072,
        0.0190377,
        0.0194369,
        0.0194242,
        0.0194251,
        0.0196612,
        0.0200233,
        0.0201771,
        0.0200663,
        0.0202762,
        0.0205873,
        0.0206568,
        0.0209427,
        0.0214808,
        0.0218481,
        0.0222047,
        0.0223654,
        0.0223794,
        0.0223062,
        0.0219462,
        0.0214245,
        0.0208641,
        0.0204211,
        0.0202757,
        0.020082,
        0.0197076,
        0.0196049,
        0.0195081,
        0.0193998,
        0.0192014,
        0.0191547,
        0.0192346,
        0.0191349,
        0.0192863,
        0.0194845,
        0.0198141,
        0.0199778,
        0.0203661,
        0.0210195,
        0.0217472,
        0.0227093,
        0.023892,
        0.0248978,
        0.0259773,
        0.0269829,
        0.0273184,
        0.026716,
        0.0261853,
        0.0246922,
        0.0231291,
        0.0233379,
        0.024096,
        0.024566,
        0.0207101,
        0.0201518,
        0.0198632,
        0.0198884,
        0.0199055,
        0.0197233,
        0.0195277,
        0.0194204,
        0.0194644,
        0.0195666,
        0.0195319,
        0.0196756,
        0.01972,
        0.0200182,
        0.0200285,
        0.0202097,
        0.0202559,
        0.0203006,
        0.0201704,
        0.0201287,
        0.019902,
        0.0196694,
        0.0195144,
        0.0193848,
        0.0194149,
        0.0196954,
        0.0196451,
        0.0194236,
        0.0193376,
        0.0193408,
        0.0191561,
        0.0191219,
        0.0190371,
        0.019084,
        0.0190845,
        0.0191632,
        0.0194583,
        0.0194755,
        0.0208337,
        0.0202364,
        0.019182,
        0.0190201,
        0.0189357,
        0.0194838,
        0.0197038,
        0.0191976,
        0.0189211,
        0.0190813,
        0.021038,
        0.0209702,
        0.0207608,
        0.0201999,
        0.0193121,
        0.0195045,
        0.0195953,
        0.0199211,
        0.0200675,
        0.0203363,
        0.0209159,
        0.0214167,
        0.0215728,
        0.0216357,
        0.0214467,
        0.0211239,
        0.0207831,
        0.0204136,
        0.0202576,
        0.0202854,
        0.02022,
        0.0200972,
        0.0202633,
        0.0203331,
        0.0204852,
        0.0208763,
        0.0212462,
        0.0217818,
        0.0222531,
        0.0227901,
        0.0234139,
        0.0238421,
        0.024163,
        0.0236556,
        0.0230417,
        0.0224415,
        0.0219868,
        0.0218731,
        0.0214427,
        0.0217993,
        0.0213643,
        0.0206221,
        0.0204211,
        0.0202163,
        0.0201122,
        0.0200376,
        0.0199295,
        0.019861,
        0.0198101,
        0.0198437,
        0.0198504,
        0.0199569,
        0.0199728,
        0.0205859,
        0.0202026,
        0.0199237,
        0.0199082,
        0.0199141,
        0.0198328,
        0.019854,
        0.0196424,
        0.0221061,
        0.0219953,
        0.0193783,
        0.0195184,
        0.0196289,
        0.0196042,
        0.0192889,
        0.0191493,
        0.0191921,
        0.0191749,
        0.0192015,
        0.0191367,
        0.0190736,
        0.018936,
        0.018989,
        0.0191735,
        0.0193574,
        0.0202801,
        0.0208986,
        0.0195131,
        0.0193205,
        0.0195757,
        0.0200199,
        0.023152,
        0.0228084,
        0.0198969,
        0.0197278,
        0.0199345,
        0.0199405,
        0.0201394,
        0.024123,
        0.0241297,
        0.0200154,
        0.0200093,
        0.019934,
        0.0200472,
        0.0200395,
        0.0200107,
        0.0200927,
        0.0201004,
        0.0201,
        0.0200291,
        0.0201887,
        0.020393,
        0.0206,
        0.0206915,
        0.0206823,
        0.0210531,
        0.0208009,
        0.0202581,
        0.020108,
        0.0199022,
        0.0198041,
        0.0206561,
        0.0209913,
        0.0199595,
        0.0201197,
        0.0202624,
        0.0202502,
        0.0202077,
        0.0204868,
        0.0200935,
        0.0199411,
        0.0199724,
        0.0200988,
        0.0236209,
        0.0239004,
        0.0203603,
        0.020452,
        0.0202679,
        0.0203591,
        0.0201691,
        0.0199718,
        0.0199489,
        0.0229957,
        0.0256276,
        0.0215237,
        0.020137,
        0.0202956,
        0.0203286,
        0.0206375,
        0.0209052,
        0.0213415,
        0.0212558,
        0.0213151,
        0.0214135,
        0.0215265,
        0.0214428,
        0.0215934,
        0.0214353,
        0.0212431,
        0.0212888,
        0.0214173,
        0.0212975,
        0.0238939,
        0.0239948,
        0.0214852,
        0.0212136,
        0.0223167,
        0.0227096,
        0.0229235,
        0.022183,
        0.0211609,
        0.0213918,
        0.0213426,
        0.0212963,
        0.0214175,
        0.0214026,
        0.0214474,
        0.0216098,
        0.0216192,
        0.0214385,
        0.0214986,
        0.0216073,
        0.0215587,
        0.0214456,
        0.0215865,
        0.0216368,
        0.0234298,
        0.0232729,
        0.0214238,
        0.0214742,
        0.02151,
        0.0215553,
        0.0215255,
        0.0217629,
        0.0220494,
        0.0221128,
        0.0220761,
        0.0221713,
        0.0223281,
        0.022783,
        0.023428,
        0.0229815,
        0.0256956,
        0.0252546,
        0.0232953,
        0.0230298,
        0.0228624,
        0.0226863,
        0.022559,
        0.0226829,
        0.0226512,
        0.0236048,
        0.0233934,
        0.022132,
        0.022053,
        0.0219978,
        0.022131,
        0.0223696,
        0.0250115,
        0.025301,
        0.0229684,
        0.0232126,
        0.0237807,
        0.023705,
        0.0238726,
        0.024133,
        0.0245053,
        0.0250985,
        0.0256944,
        0.0307166,
        0.0319949,
        0.0288917,
        0.0301359,
        0.0303176,
        0.0297186,
        0.0287587,
        0.027869,
        0.0273037,
        0.0271526,
        0.0272218,
        0.0268098,
        0.0264931,
        0.0262947,
        0.0259552,
        0.0258389,
        0.0258237,
        0.0257004,
        0.0262528,
        0.0264858,
        0.0257002,
        0.0259286,
        0.0254848,
        0.0256418,
        0.0257925,
        0.025763,
        0.0260413,
        0.0259279,
        0.0258465,
        0.0260613,
        0.0257811,
        0.0262133,
        0.0264802,
        0.0268064,
        0.0268438,
        0.0271835,
        0.0277548,
        0.027856,
        0.0280555,
        0.0282019,
        0.0282316,
        0.0285098,
        0.0285674,
        0.0291851,
        0.0289413,
        0.0288321,
        0.0291897,
        0.0295742,
        0.0301382,
        0.0306131,
        0.0305131,
        0.0308167,
        0.0312778,
        0.0319469,
        0.0325898,
        0.0330398,
        0.0335393,
        0.0343794,
        0.0398752,
        0.0442867,
        0.0387434,
        0.0385116,
        0.0396163,
        0.0409131,
        0.0425874,
        0.0447703,
        0.0465949,
        0.0482351,
        0.0502229,
        0.052585,
        0.0558624,
        0.0611384,
        0.0635909,
        0.0688891,
        0.0748853,
        0.0825382,
        0.0919703,
        0.104292,
        0.117467,
        0.136915,
        0.162835,
        0.196421,
        0.186878,
        0.16121,
        0.142996,
        0.124631,
        0.112249,
        0.100591,
        0.0933549,
        0.0869514,
        0.0822607,
        0.0784459,
        0.0752041,
        0.0727331,
        0.0711567,
        0.0697995,
        0.0693696,
        0.0691715,
        0.0690575,
        0.075671,
        0.0759109,
        0.0718819,
        0.0743791,
        0.0774741,
        0.0813607,
        0.0856038,
        0.0923493,
        0.0999369,
        0.103122,
        0.112441,
        0.124859,
        0.139529,
        0.157874,
        0.191338,
        0.219834,
        0.178779,
        0.153889,
        0.134334,
        0.122083,
        0.119401,
        0.105753,
        0.0886017,
        0.0820379,
        0.0755756,
        0.0708225,
        0.0667243,
        0.0626142,
        0.0596762,
        0.0572221,
        0.0547795,
        0.0519923,
        0.0500201,
        0.0487102,
        0.047254,
        0.0461908,
        0.045313,
        0.0438834,
        0.0423073,
        0.0411105,
        0.0400266,
        0.040624,
        0.0411678,
        0.0385275,
        0.0380258,
        0.0380405,
        0.0406978,
        0.0412134,
        0.0406135,
        0.0396857,
        0.0368236,
        0.0371057,
        0.0367312,
        0.0355823,
        0.0401462,
        0.0468764,
        0.0440848,
        0.0370386,
        0.0378313,
        0.0393523,
        0.0414391,
        0.0434644,
        0.0435504,
        0.0508354,
        0.0485623,
        0.0387638,
        0.0370125,
        0.0356407,
        0.0342795,
        0.0336428,
        0.0335989,
        0.0331524,
        0.0361675,
        0.0355128,
        0.0314111,
        0.0310693,
        0.0309247,
        0.0309101,
        0.0306936,
        0.0308556,
        0.0309269,
        0.031335,
        0.0306112,
        0.0300542,
        0.0297411,
        0.0296813,
        0.0296332,
        0.0296652,
        0.029385,
        0.0291311,
        0.0291573,
        0.0288291,
        0.0287857,
        0.0286212,
        0.028413,
        0.0279796,
        0.0277581,
        0.0273703,
        0.0269277,
        0.0267903,
        0.0267057,
        0.0264172,
        0.0263624,
        0.0263928,
        0.0265258,
        0.0260525,
        0.0261256,
        0.0265297,
        0.0260952,
        0.0271287,
        0.0272624,
        0.025752,
        0.0257904,
        0.0255763,
        0.0252454,
        0.0254441,
        0.0255333,
        0.0254362,
        0.0267861,
        0.0274339,
        0.0265306,
        0.0272684,
        0.0256543,
        0.0257256,
        0.0259891,
        0.0259272,
        0.0256945,
        0.0256337,
        0.0258574,
        0.025796,
        0.0256059,
        0.0255711,
        0.0258083,
        0.0260206,
        0.0263236,
        0.0261831,
        0.0262262,
        0.0262496,
        0.0267177,
        0.026546,
        0.0260963,
        0.0261648,
        0.0260937,
        0.0259958,
        0.0260226,
        0.0267854,
        0.027362,
        0.0258857,
        0.0257248,
        0.0257115,
        0.0258003,
        0.0258628,
        0.026152,
        0.0261595,
        0.0258762,
        0.0257506,
        0.025976,
        0.025756,
        0.0255623,
        0.0256497,
        0.0258195,
        0.025935,
        0.0262339,
        0.0262754,
        0.0263812,
        0.0261398,
        0.0260212,
        0.0263937,
        0.0265643,
        0.0263224,
        0.0261759,
        0.0259923,
        0.025962,
        0.0262155,
        0.0260961,
        0.0257758,
        0.0259016,
        0.0256288,
        0.0272079,
        0.0279666,
        0.0251053,
        0.025043,
        0.0252595,
        0.0253349,
        0.0251712,
        0.0252705,
        0.0256199,
        0.0252822,
        0.025156,
        0.0253305,
        0.0253996,
        0.0250932,
        0.0252492,
        0.025219,
        0.0254481,
        0.0256212,
        0.025876,
        0.0259789,
        0.025992,
        0.0261013,
        0.026273,
        0.0262701,
        0.0264974,
        0.0266763,
        0.0264184,
        0.0269686,
        0.0273217,
        0.0271803,
        0.0273071,
        0.0297658,
        0.0300619,
        0.0272428,
        0.0269359,
        0.0270111,
        0.0268035,
        0.0263125,
        0.0261971,
        0.0262902,
        0.0263761,
        0.0263811,
        0.0263247,
        0.0263848,
        0.0261935,
        0.0261917,
        0.0263329,
        0.0265108,
        0.0267644,
        0.0270016,
        0.0269947,
        0.0272893,
        0.0302355,
        0.0299738,
        0.0262595,
        0.0260068,
        0.0260199,
        0.0259758,
        0.0262028,
        0.026088,
        0.0255802,
        0.0255284,
        0.0255171,
        0.0255093,
        0.0254274,
        0.0256585,
        0.0259203,
        0.0259201,
        0.0257219,
        0.0258997,
        0.0259022,
        0.0264197,
        0.0263689,
        0.0267296,
        0.0308963,
        0.0313647,
        0.0276864,
        0.0280498,
        0.0286018,
        0.0296908,
        0.0311654,
        0.0319383,
        0.0330776,
        0.0344834,
        0.0352447,
        0.0349451,
        0.0336879,
        0.0321603,
        0.0307815,
        0.0303598,
        0.0295415,
        0.0289776,
        0.0287637,
        0.0287388,
        0.0286021,
        0.0279817,
        0.028383,
        0.0282098,
        0.027855,
        0.0276131,
        0.0276582,
        0.0273059,
        0.0275176,
        0.0276196,
        0.0276669,
        0.0277065,
        0.0277453,
        0.0277895,
        0.0273973,
        0.0278144,
        0.0276412,
        0.027324,
        0.0276295,
        0.0276472,
        0.0274421,
        0.0274112,
        0.0274526,
        0.0275286,
        0.0272346,
        0.0271087,
        0.0272146,
        0.0271188,
        0.0272467,
        0.0268986,
        0.026669,
        0.0267813,
        0.0265815,
        0.0266997,
        0.0266327,
        0.0268602,
        0.0268387,
        0.0273517,
        0.0291019,
        0.0266428,
        0.0267399,
        0.0266831,
        0.02688,
        0.0271549,
        0.0273517,
        0.0270444,
        0.027197,
        0.0269758,
        0.0271788,
        0.0274469,
        0.0273169,
        0.0270598,
        0.0270099,
        0.0271382,
        0.0271661,
        0.0275371,
        0.0273149,
        0.0277214,
        0.0278971,
        0.0277922,
        0.0289447,
        0.0289064,
        0.0279409,
        0.0281824,
        0.0285569,
        0.028264,
        0.0285857,
        0.0286621,
        0.028587,
        0.0288463,
        0.0290421,
        0.029514,
        0.0331501,
        0.0343111,
        0.0299059,
        0.0293686,
        0.0294267,
        0.0298419,
        0.0301674,
        0.0298074,
        0.0299613,
        0.0299643,
        0.0302147,
        0.0302579,
        0.0306165,
        0.0304527,
        0.0305273,
        0.0309404,
        0.0307025,
        0.0304579,
        0.0302701,
        0.0307751,
        0.0306771,
        0.0308667,
        0.0309526,
        0.0309548,
        0.0310924,
        0.0309594,
        0.0310592,
        0.0312498,
        0.0318366,
        0.032077,
        0.031949,
        0.0318269,
        0.0315387,
        0.0317457,
        0.0316853,
        0.0322416,
        0.032677,
        0.0325764,
        0.0324522,
        0.0326915,
        0.0341128,
        0.0333545,
        0.0336448,
        0.0337006,
        0.0339829,
        0.0342848,
        0.0343271,
        0.0346032,
        0.0347264,
        0.0353426,
        0.0358066,
        0.0361421,
        0.0364912,
        0.0365689,
        0.0373071,
        0.0380406,
        0.0383122,
        0.0388103,
        0.0392601,
        0.0397092,
        0.0399744,
        0.0400973,
        0.0405808,
        0.0418559,
        0.0427719,
        0.043788,
        0.0442219,
        0.0440206,
        0.044769,
        0.0460263,
        0.0467712,
        0.0474986,
        0.0489281,
        0.04873,
        0.0500049,
        0.051514,
        0.0520668,
        0.0531667,
        0.0546296,
        0.0559881,
        0.0571658,
        0.0590539,
        0.060868,
        0.0631008,
        0.0648485,
        0.0681235,
        0.0700532,
        0.0721776,
        0.0751365,
        0.0793588,
        0.0824175,
        0.0862744,
        0.0908834,
        0.0965725,
        0.104617,
        0.111277,
        0.122037,
        0.130866,
        0.14594,
        0.160248,
        0.179009,
        0.210979,
        0.199402,
        0.174798,
        0.156934,
        0.149826,
        null,
        0.0294972,
        0.0292151,
        0.0283504,
        0.0283423,
        0.028422,
        0.0314548,
        0.031514,
        0.0284859,
        0.0284857,
        0.0286124,
        0.0285205,
        0.0286115,
        0.0289033,
        0.0293273,
        0.0294155,
        0.0292113,
        0.0293051,
        0.0293473,
        0.029626,
        0.0300321,
        0.0302554,
        0.0301682,
        0.0303209,
        0.0303853,
        0.030451,
        0.0345866,
        0.0333972,
        0.0304043,
        0.0303069,
        0.0305164,
        0.0306617,
        0.0305764,
        0.0307556,
        0.0309344,
        0.0310086,
        0.0310368,
        0.0309043,
        0.0310144,
        0.0310629,
        0.0312042,
        0.0314075,
        0.0314277,
        0.0317279,
        0.0321807,
        0.0324199,
        0.0325944,
        0.0358272,
        0.0355273,
        0.033916,
        0.0332303,
        0.0336282,
        0.0338422,
        0.0341265,
        0.0346169,
        0.0355414,
        0.0364632,
        0.0378891,
        0.039817,
        0.0415364,
        0.0419721,
        0.0408375,
        0.0391236,
        0.0379491,
        0.0370659,
        0.0363572,
        0.0359825,
        0.0357346,
        0.0355244,
        0.0358497,
        0.0358333,
        0.0360033,
        0.0364424,
        0.0367566,
        0.0365229,
        0.0368353,
        0.0372797,
        0.037671,
        0.0378867,
        0.0381281,
        0.0383852,
        0.0385958,
        0.0391285,
        0.0395323,
        0.0398417,
        0.0400661,
        0.0410449,
        0.0415829,
        0.0420443,
        0.0427462,
        0.0428724,
        0.0433989,
        0.0439363,
        0.0448784,
        0.0455279,
        0.0460841,
        0.0471846,
        0.0525242,
        0.0529718,
        0.049467,
        0.0508396,
        0.0516878,
        0.0526783,
        0.0541618,
        0.0556793,
        0.0567833,
        0.0578599,
        0.0597391,
        0.0619172,
        0.0635887,
        0.0662792,
        0.069158,
        0.0715344,
        0.0749107,
        0.0782461,
        0.0811634,
        0.0852692,
        0.0904374,
        0.0970547,
        0.104148,
        0.117851,
        0.124449,
        0.126584,
        0.142348,
        0.158838,
        0.182987,
        0.180254,
        0.167262,
        0.155391,
        0.13961,
        0.133269,
        0.135468,
        0.125377,
        0.111706,
        0.108198,
        0.105323,
        0.103229,
        0.100728,
        0.0986569,
        0.101713,
        0.106065,
        0.0999778,
        0.0952718,
        0.0940654,
        0.095694,
        0.0961957,
        0.0970321,
        0.0991743,
        0.100324,
        0.102863,
        0.104115,
        0.106775,
        0.111435,
        0.116105,
        0.118815,
        0.123401,
        0.130093,
        0.139855,
        0.149463,
        0.156654,
        0.166476,
        0.182404,
        0.207982,
        0.189618,
        0.169927,
        0.153707,
        0.14095,
        0.133214,
        0.124887,
        0.116269,
        0.112005,
        0.105539,
        0.100886,
        0.0964695,
        0.0929928,
        0.0888225,
        0.0858552,
        0.0833265,
        0.079736,
        0.0775797,
        0.0768954,
        0.0749618,
        0.0731674,
        0.0708914,
        0.068861,
        0.0684678,
        0.0668074,
        0.0643753,
        0.0635944,
        0.0640476,
        0.0633178,
        0.0609675,
        0.0595637,
        0.0598503,
        0.0595387,
        0.0580961,
        0.0574012,
        0.0570472,
        0.0564859,
        0.055592,
        0.0549341,
        0.0577526,
        0.0595433,
        0.0547228,
        0.0546531,
        0.0550017,
        0.0545068,
        0.0537991,
        0.0539673,
        0.0541142,
        0.054437,
        0.0545656,
        0.0530124,
        0.0562045,
        0.0562569,
        0.0557152,
        0.0559241,
        0.0565359,
        0.0564469,
        0.0563191,
        0.0569274,
        0.0577828,
        0.0585531,
        0.0591181,
        0.0596686,
        0.0599601,
        0.0608917,
        0.0618056,
        0.0628982,
        0.063538,
        0.0643452,
        0.0654925,
        0.0667135,
        0.0679168,
        0.0677102,
        0.0681389,
        0.0688955,
        0.0704214,
        0.0723282,
        0.0731976,
        0.0748584,
        0.0764867,
        0.0783179,
        0.080001,
        0.0814915,
        0.0835922,
        0.0851413,
        0.0869094,
        0.089275,
        0.091771,
        0.0940082,
        0.0960399,
        0.0996343,
        0.103993,
        0.10727,
        0.107922,
        0.112251,
        0.117623,
        0.124472,
        0.128673,
        0.133913,
        0.141375,
        0.147325,
        0.15581,
        0.160635,
        0.166949,
        0.18083,
        null,
        0.175407,
        0.168234,
        0.15686,
        0.150765,
        0.14174,
        0.137347,
        0.133974,
        0.127139,
        0.122068,
        0.117047,
        0.110949,
        0.106258,
        0.103071,
        0.0982264,
        0.0950941,
        0.0908093,
        0.0993999,
        0.0949572,
        0.0816047,
        0.0791875,
        0.0772323,
        0.0791052,
        0.0740965,
        0.0707135,
        0.0700908,
        0.0679126,
        0.0658412,
        0.0651438,
        0.0636993,
        0.0611451,
        0.0605815,
        0.059466,
        0.0581584,
        0.0569171,
        0.0565688,
        0.0559913,
        0.0545391,
        0.0531223,
        0.0518546,
        0.0508132,
        0.0508066,
        0.0504354,
        0.0491957,
        0.0483355,
        0.0483339,
        0.0478553,
        0.0473406,
        0.0461186,
        0.0465558,
        0.0462639,
        0.0459746,
        0.0454495,
        0.0444526,
        0.0434582,
        0.0427854,
        0.042381,
        0.0423091,
        0.0417294,
        0.041238,
        0.0408572,
        0.0407344,
        0.0404333,
        0.0404997,
        0.0398963,
        0.0397007,
        0.0387897,
        0.0384378,
        0.0380312,
        0.0376212,
        0.0376223,
        0.0372712,
        0.0369008,
        0.036761,
        0.0361866,
        0.0360127,
        0.0357921,
        0.0356099,
        0.0354137,
        0.0349269,
        0.0341799,
        0.034094,
        0.0337236,
        0.0332939,
        0.0332007,
        0.0328065,
        0.0325084,
        0.0323169,
        0.03239,
        0.0323085,
        0.0318703,
        0.0315671,
        0.0311523,
        0.0306222,
        0.0302778,
        0.0302109,
        0.0299059,
        0.0297541,
        0.0297116,
        0.0295593,
        0.0293555,
        0.0291665,
        0.0291412,
        0.0291025,
        0.0287664,
        0.0285411,
        0.0286832,
        0.0302804,
        0.0300607,
        0.0284165,
        0.0320478,
        0.0308887,
        0.0287263,
        0.0286518,
        0.0285915,
        0.0288749,
        0.0287395,
        0.0285663,
        0.0287345,
        0.0288366,
        0.0291247,
        0.0289365,
        0.0291852,
        0.0293359,
        0.0291547,
        0.0292509,
        0.0293607,
        0.0295531,
        0.0295033,
        0.0293688,
        0.0292279,
        0.0290792,
        0.0290988,
        0.0290582,
        0.0286148,
        0.028365,
        0.0284144,
        0.0283046,
        0.0279095,
        0.0277578,
        0.0273597,
        0.0273002,
        0.0272957,
        0.0270987,
        0.0271983,
        0.0275045,
        0.0276861,
        0.0280605,
        0.0285314,
        0.0293613,
        0.0302697,
        0.03124,
        0.0320701,
        0.0316845,
        0.0304733,
        0.028924,
        0.0280871,
        0.0275291,
        0.0268294,
        0.0264066,
        0.0261706,
        0.0259217,
        0.025629,
        0.0253568,
        0.0253257,
        0.0252921,
        0.0251387,
        0.0252098,
        0.0252544,
        0.0250849,
        0.0251431,
        0.0251082,
        0.025205,
        0.0253795,
        0.0253806,
        0.0253571,
        0.0253826,
        0.0252929,
        0.0252286,
        0.0254534,
        0.0273564,
        0.0266207,
        0.0258464,
        0.0262242,
        0.0265379,
        0.0266158,
        0.026505,
        0.0264294,
        0.0261872,
        0.0260413,
        0.0266729,
        0.027941,
        0.025971,
        0.0250647,
        0.0251051,
        0.0252314,
        0.0252344,
        0.0254061,
        0.0254159,
        0.0250653,
        0.0249041,
        0.0249192,
        0.0260625,
        0.0270686,
        0.0246862,
        0.0245729,
        0.0246867,
        0.0245224,
        0.0243828,
        0.0243987,
        0.0241551,
        0.0236742,
        0.0235134,
        0.0233895,
        0.023277,
        0.0234477,
        0.0233654,
        0.0234245,
        0.0234485,
        0.0233162,
        0.0233911,
        0.0233213,
        0.0238584,
        0.02403,
        0.0241783,
        0.0245783,
        0.0250051,
        0.0254721,
        0.0257565,
        0.0265391,
        0.0272848,
        0.0275999,
        0.0274924,
        0.0274247,
        0.0270216,
        0.0264749,
        0.0258525,
        0.0253498,
        0.0246745,
        0.0244386,
        0.024357,
        0.0269564,
        0.02526,
        0.0235408,
        0.0235302,
        0.0233968,
        0.0231978,
        0.0231102,
        0.0232599,
        0.023108,
        0.0229798,
        0.0230692,
        0.0228521,
        0.022921,
        0.0232177,
        0.0228162,
        0.0227663,
        0.0227439,
        0.0225178,
        0.0223717,
        0.0222062,
        0.0223676,
        0.0222958,
        0.0222375,
        0.0220256,
        0.0223209,
        0.0222716,
        0.0221155,
        0.0218735,
        0.0218322,
        0.021798,
        0.0217767,
        0.021727,
        0.0215729,
        0.0214911,
        0.0214778,
        0.0215205,
        0.0213052,
        0.0211041,
        0.0211812,
        0.0212216,
        0.0212395,
        0.0211091,
        0.0211248,
        0.0211604,
        0.021081,
        0.0238461,
        0.0230199,
        0.021248,
        0.0212062,
        0.021388,
        0.0213237,
        0.021413,
        0.0218081,
        0.0217526,
        0.0216976,
        0.0215454,
        0.0215799,
        0.0215243,
        0.0213201,
        0.0213542,
        0.0213942,
        0.021397,
        0.0213501,
        0.0213743,
        0.0215337,
        0.0237728,
        0.0236712,
        0.0213778,
        0.0248512,
        0.024819,
        0.0214395,
        0.0239792,
        0.0240276,
        0.0214177,
        0.0213472,
        0.021469,
        0.0215908,
        0.0214259,
        0.0211989,
        0.0212478,
        0.0214929,
        0.0216881,
        0.0214805,
        0.021574,
        0.0216197,
        0.0218221,
        0.0218975,
        0.0217305,
        0.0218058,
        0.0220743,
        0.0222961,
        0.0225163,
        0.0230023,
        0.0233863,
        0.0240749,
        0.0248462,
        0.0255174,
        0.0259207,
        0.0260082,
        0.0252094,
        0.0242366,
        0.0233761,
        0.0228021,
        0.0223717,
        0.0220794,
        0.0215484,
        0.0212322,
        0.0211363,
        0.021011,
        0.0209174,
        0.0208231,
        0.021754,
        0.0218402,
        0.0209514,
        0.0213382,
        0.0220668,
        0.0226942,
        0.0207931,
        0.0207527,
        0.0207235,
        0.0214835,
        0.0220542,
        0.0209334,
        0.0210879,
        0.0210469,
        0.020945,
        0.0209457,
        0.020974,
        0.0210623,
        0.0210413,
        0.0212598,
        0.0212523,
        0.0216226,
        0.0215957,
        0.0211548,
        0.0213101,
        0.0214162,
        0.0215715,
        0.0223735,
        0.0223203,
        0.0221007,
        0.0219778,
        0.0215066,
        0.0214443,
        0.0215225,
        0.0223453,
        0.0227954,
        0.0214014,
        0.0213577,
        0.0213586,
        0.0213585,
        0.0249819,
        0.0247865,
        0.0209058,
        0.0209183,
        0.0209156,
        0.0209797,
        0.0210686,
        0.0210129,
        0.0209554,
        0.0210813,
        0.0209508,
        0.0209521,
        0.0208535,
        0.0207656,
        0.0208531,
        0.0210738,
        0.0211336,
        0.0212308,
        0.0213391,
        0.0211203,
        0.0211865,
        0.0212392,
        0.0213731,
        0.0213428,
        0.0214627,
        0.0216187,
        0.0215961,
        0.0216924,
        0.021559,
        0.0218242,
        0.0220318,
        0.0224628,
        0.0225309,
        0.0226614,
        0.0230345,
        0.0232155,
        0.0233637,
        0.0234406,
        0.0230729,
        0.0225467,
        0.0221622,
        0.0219194,
        0.0217024,
        0.0216655,
        0.0216074,
        0.0215928,
        0.0214635,
        0.0213078,
        0.0218324,
        0.0217768,
        0.0209318,
        0.0210328,
        0.0208263,
        0.0208461,
        0.0209615,
        0.0210191,
        0.0208075,
        0.0209539,
        0.0239899,
        0.0236113,
        0.0207957,
        0.0207317,
        0.0206582,
        0.0208723,
        0.0206579,
        0.0203553,
        0.0222103,
        0.0212545,
        0.0201789,
        0.0201719,
        0.0200089,
        0.0232633,
        0.0239459,
        0.0200603,
        0.0201743,
        0.0202649,
        0.019919,
        0.0199324,
        0.0199591,
        0.020037,
        0.0233487,
        0.0223171,
        0.0197691,
        0.0198211,
        0.0198096,
        0.0197772,
        0.0198926,
        0.0198486,
        0.0203454,
        0.0201335,
        0.0200603,
        0.0211388,
        0.0215903,
        0.0206351,
        0.0209352,
        0.0207818,
        0.0208285,
        0.0209359,
        0.020502,
        0.0208343,
        0.0206913,
        0.0209029,
        0.0210938,
        0.0209442,
        0.0211259,
        0.0212385,
        0.024847,
        0.0252796,
        0.0218846,
        0.0219595,
        0.0222618,
        0.0225349,
        0.0250592,
        0.0266097,
        0.0224094,
        0.0224706,
        0.022468,
        0.0222411,
        0.0219455,
        0.0218671,
        0.021982,
        0.0220767,
        0.0218794,
        0.02171,
        0.0217585,
        0.0219286,
        0.0218801,
        0.0217625,
        0.0221663,
        0.0223016,
        0.022644,
        0.023088,
        0.0236855,
        0.0244782,
        0.025178,
        0.0261323,
        0.0264676,
        0.0259569,
        0.0249645,
        0.0241702,
        0.0230024,
        0.0222115,
        0.0217191,
        0.0214256,
        0.0212181,
        0.0225363,
        0.0225665,
        0.0208651,
        0.0207314,
        0.0207772,
        0.0205463,
        0.0205881,
        0.0205853,
        0.0206497,
        0.0206627,
        0.0207274,
        0.0207022,
        0.0204756,
        0.0204229,
        0.0203204,
        0.0202906,
        0.0202957,
        0.0203445,
        0.0204009,
        0.0204172,
        0.0206467,
        0.0215966,
        0.0210585,
        0.0207288,
        0.0208339,
        0.0208442,
        0.0208604,
        0.0210398,
        0.0209799,
        0.0209314,
        0.0209555,
        0.0209912,
        0.0207889,
        0.0208414,
        0.0207731,
        0.020864,
        0.0211011,
        0.0213168,
        0.0212196,
        0.0210211,
        0.0209506,
        0.0209893,
        0.0209828,
        0.0209236,
        0.020941,
        0.021147,
        0.0210026,
        0.0210413,
        0.0209068,
        0.0208078,
        0.0206985,
        0.0208795,
        0.0207957,
        0.020778,
        0.0207006,
        0.0207998,
        0.0204889,
        0.0209153,
        0.0209645,
        0.020872,
        0.0210202,
        0.02127,
        0.0212374,
        0.0211631,
        0.0214937,
        0.0214832,
        0.0217371,
        0.0214556,
        0.0216234,
        0.0216908,
        0.0217547,
        0.0217114,
        0.0216632,
        0.0213447,
        0.0211895,
        0.0211574,
        0.0210027,
        0.0209522,
        0.0208123,
        0.0207766,
        0.0208217,
        0.0209119,
        0.0208458,
        0.0208453,
        0.020767,
        0.020868,
        0.0209093,
        0.0210199,
        0.0211623,
        0.0211449,
        0.0212241,
        0.0214513,
        0.0214466,
        0.0213941,
        0.0214406,
        0.021501,
        0.0216236,
        0.0217256,
        0.0219786,
        0.0224617,
        0.0227116,
        0.02277,
        0.0231124,
        0.0232238,
        0.0233914,
        0.0238233,
        0.0238916,
        0.0230187,
        0.02305,
        0.0230311,
        0.0230919,
        0.0228938,
        0.0231026,
        0.0235214,
        0.0239959,
        0.024673,
        0.0256805,
        0.0259602,
        0.0264386,
        0.0279652,
        0.0278247,
        0.0263205,
        0.0255823,
        0.0248579,
        0.0241553,
        0.0234869,
        0.0230474,
        0.0224523,
        0.021993,
        0.0218394,
        0.021413,
        0.0211049,
        0.0210553,
        0.0208301,
        0.0208045,
        0.0206813,
        0.0205742,
        0.0206215,
        0.0208072,
        0.020659,
        0.0205254,
        0.0206139,
        0.0208186,
        0.0210653,
        0.0209563,
        0.0208998,
        0.020989,
        0.0210917,
        0.0209872,
        0.020994,
        0.021018,
        0.021119,
        0.0212915,
        0.0215006,
        0.0216053,
        0.0214503,
        0.0215095,
        0.0217515,
        0.0219021,
        0.0220595,
        0.0221852,
        0.024111,
        0.0240582,
        0.0222585,
        0.0228192,
        0.0227561,
        0.0222521,
        0.022319,
        0.022686,
        0.0228542,
        0.0226148,
        0.0223809,
        0.0224497,
        0.0223902,
        0.0225481,
        0.0225713,
        0.0227952,
        0.0231684,
        0.0236232,
        0.0240467,
        0.0244253,
        0.0249644,
        0.0257354,
        0.0263609,
        0.0262311,
        0.025874,
        0.025293,
        0.024529,
        0.0237398,
        0.0234663,
        0.0231987,
        0.0230569,
        0.0229053,
        0.0226618,
        0.0224473,
        0.0224381,
        0.0223312,
        0.0223352,
        0.0232593,
        0.0228049,
        0.0221712,
        0.0222697,
        0.0223388,
        0.022149,
        0.0221382,
        0.0224269,
        0.0226078,
        0.0224785,
        0.0223574,
        0.0224315,
        0.0225188,
        0.0228081,
        0.0229146,
        0.0228662,
        0.0264437,
        0.0253764,
        0.0228034,
        0.025879,
        0.0256604,
        0.0229641,
        0.0231535,
        0.0233057,
        0.0238022,
        0.0240281,
        0.0243123,
        0.0243507,
        0.0242475,
        0.0244281,
        0.0244963,
        0.0245279,
        0.0248042,
        0.0244507,
        0.0246557,
        0.0246803,
        0.0255751,
        0.0257399,
        0.0249581,
        0.0251208,
        0.0254223,
        0.0255217,
        0.0255756,
        0.0278566,
        0.027937,
        0.0256859,
        0.0255698,
        0.029354,
        0.0295024,
        0.0260884,
        0.0260226,
        0.0262637,
        0.0265749,
        0.0269885,
        0.0274599,
        0.0273344,
        0.0272523,
        0.0273206,
        0.0274669,
        0.0273658,
        0.0276388,
        0.0279981,
        0.0280112,
        0.0282389,
        0.0286533,
        0.0294031,
        0.029891,
        0.0298966,
        0.030446,
        0.0307956,
        0.0311348,
        0.0316767,
        0.0321642,
        0.0324455,
        0.032897,
        0.0337366,
        0.0348635,
        0.0360651,
        0.0368914,
        0.0374069,
        0.0403027,
        0.0416306,
        0.041698,
        0.042825,
        0.0440802,
        0.0453903,
        0.0466315,
        0.0488673,
        0.0515681,
        0.0546534,
        0.0578925,
        0.0599841,
        0.0635034,
        0.0693225,
        0.0742618,
        0.0815417,
        0.0907605,
        0.100266,
        0.111116,
        0.122959,
        0.139623,
        0.163531,
        0.19883,
        0.216048,
        0.178392,
        0.151126,
        0.132867,
        0.114828,
        0.100569,
        0.090108,
        0.0818815,
        0.0763055,
        0.070195,
        0.0661151,
        0.0626398,
        0.0588245,
        0.0569772,
        0.0556288,
        0.0521723,
        0.0499658,
        0.0482755,
        0.0468191,
        0.0453918,
        0.0441914,
        0.0417834,
        0.0405569,
        0.0405839,
        0.0399147,
        0.038666,
        0.0378284,
        0.0376348,
        0.0431478,
        0.0412366,
        0.0361503,
        0.0355129,
        0.0349037,
        0.0342443,
        0.0340729,
        0.0338684,
        0.0334789,
        0.0340114,
        0.0334207,
        0.0327555,
        0.0325023,
        0.0327054,
        0.0321647,
        0.031524,
        0.0314371,
        0.0312731,
        0.0314981,
        0.0339976,
        0.0346228,
        0.0310194,
        0.0313029,
        0.0316213,
        0.0318854,
        0.0323678,
        0.0323846,
        0.032589,
        0.0321308,
        0.0314877,
        0.0306736,
        0.0296888,
        0.0290472,
        0.0288271,
        0.028912,
        0.0283326,
        0.0280433,
        0.0276583,
        0.0276109,
        0.0273786,
        0.02933,
        0.0281481,
        0.0269592,
        0.0270458,
        0.0272401,
        0.0277635,
        0.0275145,
        0.0269485,
        0.0270207,
        0.026763,
        0.0266251,
        0.0267751,
        0.0269829,
        0.0270669,
        0.0269007,
        0.0271501,
        0.0272391,
        0.0271016,
        0.026971,
        0.0269131,
        0.0272192,
        0.0271412,
        0.0271162,
        0.0272227,
        0.0272677,
        0.0275459,
        0.0277236,
        0.0278578,
        0.0277971,
        0.0278973,
        0.0279768,
        0.0281125,
        0.028004,
        0.0283701,
        0.0284701,
        0.0286281,
        0.0288699,
        0.0289771,
        0.0293516,
        0.0293849,
        0.0292158,
        0.0291229,
        0.0293721,
        0.0296551,
        0.0295371,
        0.0294861,
        0.0297091,
        0.0300782,
        0.0301769,
        0.0304345,
        0.0309512,
        0.0308509,
        0.0309953,
        0.0313034,
        0.0310651,
        0.031222,
        0.0311642,
        0.031525,
        0.0314611,
        0.0316848,
        0.0317038,
        0.0323577,
        0.0333472,
        0.0331363,
        0.0328066,
        0.0332572,
        0.0340417,
        0.0344488,
        0.0349452,
        0.0359238,
        0.0369111,
        0.0382457,
        0.0391848,
        0.0402865,
        0.0418808,
        0.0438596,
        0.044855,
        0.0459959,
        0.0464045,
        0.0465524,
        0.0473352,
        0.0471747,
        0.0468186,
        0.0468276,
        0.0472542,
        0.0478122,
        0.0484742,
        0.0493555,
        0.0504257,
        0.0519183,
        0.0525302,
        0.054511,
        0.0562467,
        0.0581612,
        0.0607575,
        0.0636558,
        0.0656171,
        0.0689983,
        0.0716866,
        0.0772744,
        0.0839024,
        0.087341,
        0.0932143,
        0.0995685,
        0.107678,
        0.116917,
        0.143636,
        0.159466,
        0.164535,
        0.191026,
        0.224683,
        0.197087,
        0.167686,
        0.149286,
        0.133731,
        0.120626,
        0.110767,
        0.102174,
        0.0929406,
        0.0854577,
        0.0811135,
        0.0761597,
        0.0726157,
        0.0692984,
        0.0659701,
        0.0622451,
        0.0599758,
        0.0577129,
        0.0567366,
        0.0574845,
        0.0573665,
        0.0522045,
        0.0508287,
        0.0489249,
        0.047716,
        0.05231,
        0.0510354,
        0.0444908,
        0.0434566,
        0.0433993,
        0.043139,
        0.0424468,
        0.0425855,
        0.0411593,
        0.0402469,
        0.0396985,
        0.0390087,
        0.0385875,
        0.0380358,
        0.0377427,
        0.0377296,
        0.0376314,
        0.0375931,
        0.0374062,
        0.0376174,
        0.0374131,
        0.0377541,
        0.0376952,
        0.0371069,
        0.0359837,
        0.0356836,
        0.0344146,
        0.0334438,
        0.0328748,
        0.0323403,
        0.0320354,
        0.0333882,
        0.0327704,
        0.0313624,
        0.0311287,
        0.0306737,
        0.0301166,
        0.0299695,
        0.029694,
        0.0296521,
        0.029796,
        0.0296998,
        0.0294015,
        0.0293435,
        0.0292016,
        0.0289736,
        0.028998,
        0.0289643,
        0.0289574,
        0.0287683,
        0.0289688,
        0.029046,
        0.0293014,
        0.0295723,
        0.0294578,
        0.0288332,
        0.0285063,
        0.0284978,
        0.0282411,
        0.0281328,
        0.0281402,
        0.0283817,
        0.0283697,
        0.0282118,
        0.0286365,
        0.0294501,
        0.0277784,
        0.0278968,
        0.0278571,
        0.0316824,
        0.0334978,
        0.0286159,
        0.028115,
        0.0279127,
        0.0279113,
        0.0277965,
        0.0278778,
        0.027933,
        0.027703,
        0.027529,
        0.0280832,
        0.0281049,
        0.0276017,
        0.0276421,
        0.0273797,
        0.0274098,
        0.0272707,
        0.0271114,
        0.0271325,
        0.0269521,
        0.0308955,
        0.0307389,
        0.0268975,
        0.0305494,
        0.0300724,
        0.0264572,
        0.026293,
        0.0267402,
        0.0264771,
        0.0278221,
        0.0290346,
        0.0290336,
        0.032476,
        0.0285498,
        0.0260448,
        0.0258681,
        0.0259192,
        0.026171,
        0.0262808,
        0.0258474,
        0.0264277,
        0.0264645,
        0.0271198,
        0.026981,
        0.025601,
        0.0259332,
        0.0257818,
        0.0258113,
        0.0260089,
        0.025926,
        0.0256377,
        0.0259147,
        0.0258931,
        0.0256257,
        0.0258451,
        0.0261178,
        0.0278695,
        0.0281067,
        0.0263192,
        0.02681,
        0.0287747,
        0.0298537,
        0.0263527,
        0.0259859,
        0.026206,
        0.0263101,
        0.0263987,
        0.0264937,
        0.0264523,
        0.0266043,
        0.0267318,
        0.0269429,
        0.0268065,
        0.0268428,
        0.0266358,
        0.0265429,
        0.0265104,
        0.026666,
        0.0269234,
        0.026821,
        0.0267012,
        0.0267241,
        0.026997,
        0.0270736,
        0.0268535,
        0.0269446,
        0.0269584,
        0.0269512,
        0.0269367,
        0.0266865,
        0.0264247,
        0.026531,
        0.0266346,
        0.0266478,
        0.0264075,
        0.0270548,
        0.027281,
        0.0267249,
        0.0265074,
        0.0308627,
        0.0305942,
        0.0280163,
        0.0260994,
        0.0260844,
        0.02582,
        0.025597,
        0.0258305,
        0.0259249,
        0.025924,
        0.0262129,
        0.0259269,
        0.0258534,
        0.0256862,
        0.0258232,
        0.0262283,
        0.0267733,
        0.0268067,
        0.0262799,
        0.0264605,
        0.0264711,
        0.0265184,
        0.0265811,
        0.0268334,
        0.0270771,
        0.0269317,
        0.027131,
        0.0273627,
        0.0274956,
        0.0276664,
        0.0275787,
        0.0277642,
        0.0282409,
        0.0297571,
        0.0296212,
        0.0282287,
        0.0285352,
        0.0288356,
        0.0292498,
        0.0295856,
        0.0299989,
        0.0303617,
        0.0309339,
        0.032857,
        0.0340542,
        0.0336542,
        0.0350848,
        0.037224,
        0.0401189,
        0.0431243,
        0.0479213,
        0.053453,
        0.0606368,
        0.0650294,
        0.0694629,
        0.0760059,
        0.0752103,
        0.068191,
        0.0640822,
        0.0586552,
        0.0545526,
        0.0501185,
        0.0456051,
        0.0417801,
        0.0391828,
        0.0368087,
        0.0352747,
        0.0336576,
        0.0324684,
        0.0309066,
        0.0308141,
        0.030432,
        0.0294563,
        0.029235,
        0.0285862,
        0.0281114,
        0.0280191,
        0.027729,
        0.0277204,
        0.0275009,
        0.0273315,
        0.0271136,
        0.0269447,
        0.0266179,
        0.0299785,
        0.0308479,
        0.0263264,
        0.0263206,
        0.0262191,
        0.0263293,
        0.0262292,
        0.0263551,
        0.0266264,
        0.0263572,
        0.0265316,
        0.0264123,
        0.0263237,
        0.026559,
        0.026997,
        0.0267451,
        0.026729,
        0.0266696,
        0.0268532,
        0.0268902,
        0.0268058,
        0.0272382,
        0.0269204,
        0.02701,
        0.0269181,
        0.026657,
        0.0271548,
        0.0277926,
        0.0272263,
        0.0270433,
        0.026923,
        0.0270553,
        0.0270366,
        0.027026,
        0.0269305,
        0.0282134,
        0.0284915,
        0.0275069,
        0.0269988,
        0.027212,
        0.0270849,
        0.0269842,
        0.0275244,
        0.0291705,
        0.0284408,
        0.0271432,
        0.0270917,
        0.0267838,
        0.0272105,
        0.0270609,
        0.0267959,
        0.0268416,
        0.0269721,
        0.0273952,
        0.0270663,
        0.0268244,
        0.0268271,
        0.0268277,
        0.027207,
        0.0272593,
        0.0276384,
        0.0274003,
        0.0272287,
        0.0273041,
        0.0272391,
        0.0276059,
        0.0280509,
        0.0279146,
        0.0282136,
        0.0275925,
        0.0273597,
        0.0274117,
        0.0274641,
        0.0274583,
        0.0269863,
        0.0272263,
        0.0272041,
        0.0272152,
        0.0269243,
        0.0271249,
        0.0273569,
        0.0273964,
        0.0273912,
        0.0275278,
        0.0277562,
        0.0278668,
        0.0275359,
        0.0276809,
        0.0323891,
        0.0328372,
        0.02871,
        0.0284136,
        0.0281676,
        0.0282126,
        0.0283744,
        0.0286681,
        0.0283695,
        0.0308303,
        0.0316712,
        0.0288716,
        0.0288536,
        0.028428,
        0.0284156,
        0.0297022,
        0.0309514,
        0.030832,
        0.0286161,
        0.0287204,
        0.028598,
        0.0285305,
        0.0287895,
        0.0286161,
        0.0307201,
        0.0308293,
        0.0291303,
        0.0289535,
        0.0287227,
        0.0297621,
        0.0301529,
        0.0291708,
        0.0285939,
        0.0282672,
        0.0280587,
        0.0283053,
        0.0287331,
        0.0283812,
        0.0281754,
        0.0278537,
        0.0280889,
        0.028002,
        0.0283062,
        0.0283564,
        0.0292873,
        0.0288029,
        0.0288191,
        0.0287866,
        0.0279745,
        0.0282347,
        0.0285769,
        0.0284445,
        0.0283068,
        0.0281099,
        0.0282296,
        0.0283635,
        0.028453,
        0.0282139,
        0.0285859,
        0.0287204,
        0.0290343,
        0.0290841,
        0.0289461,
        0.0291082,
        0.0294436,
        0.0294704,
        0.0302862,
        0.0304724,
        0.0301619,
        0.0303221,
        0.0308283,
        0.0309435,
        0.0310709,
        0.0311471,
        0.0312892,
        0.0308938,
        0.0309072,
        0.0308088,
        0.0309404,
        0.0309092,
        0.0309421,
        0.0308324,
        0.0309757,
        0.0309675,
        0.0314557,
        0.0317105,
        0.0319324,
        0.0324008,
        0.0330644,
        0.0330671,
        0.0337489,
        0.0333447,
        0.0325555,
        0.031926,
        0.0318157,
        0.0322446,
        0.0317087,
        0.0307459,
        0.0306641,
        0.0307508,
        0.0304715,
        0.0304014,
        0.0300969,
        0.0300255,
        0.0299149,
        0.0298762,
        0.0301741,
        0.0299109,
        0.0294935,
        0.0296755,
        0.0295507,
        0.0297013,
        0.029676,
        0.0297343,
        0.029742,
        0.0295823,
        0.0296799,
        0.0294741,
        0.0293335,
        0.0294501,
        0.0300539,
        0.0321434,
        0.0319947,
        0.0303961,
        0.0303083,
        0.0301592,
        0.0304181,
        0.0305649,
        0.0303488,
        0.0305085,
        0.0306106,
        0.0304513,
        0.0304142,
        0.0304667,
        0.0305662,
        0.0310027,
        0.0314132,
        0.0312428,
        0.0316957,
        0.0320729,
        0.0323863,
        0.0321039,
        null,
        0.0290312,
        0.0294242,
        0.0292316,
        0.0290427,
        0.0287758,
        0.0285695,
        0.0284466,
        0.0286476,
        0.0290804,
        0.0300756,
        0.0312224,
        0.0329081,
        0.0344985,
        0.0358735,
        0.0360596,
        0.035198,
        0.0337412,
        0.0321277,
        0.0308746,
        0.0295813,
        0.0286587,
        0.027761,
        0.0273584,
        0.0269618,
        0.0269792,
        0.0271778,
        0.0268214,
        0.0264683,
        0.0264143,
        0.0261371,
        0.0259968,
        0.0261359,
        0.0259707,
        0.0258177,
        0.0259419,
        0.0258268,
        0.0255416,
        0.0255399,
        0.0254762,
        0.0254556,
        0.0255455,
        0.0256663,
        0.0256134,
        0.0255996,
        0.0257098,
        0.0255917,
        0.0255775,
        0.0256546,
        0.0257466,
        0.0255562,
        0.0254718,
        0.0255824,
        0.0258905,
        0.0260348,
        0.0260255,
        0.0260506,
        0.0260811,
        0.0259665,
        0.0259363,
        0.0261113,
        0.0261708,
        0.0261931,
        0.0262727,
        0.0263245,
        0.0265165,
        0.0267462,
        0.0272578,
        0.0273607,
        0.0269203,
        0.0268512,
        0.0270686,
        0.0271613,
        0.0270481,
        0.0270916,
        0.0271707,
        0.0272671,
        0.027315,
        0.0274158,
        0.0276072,
        0.0275861,
        0.0277674,
        0.0278911,
        0.0278626,
        0.0289192,
        0.0287437,
        0.0279819,
        0.0279378,
        0.0277462,
        0.0278182,
        0.0279254,
        0.0279548,
        0.0279556,
        0.0279553,
        0.0279246,
        0.0279745,
        0.0277653,
        0.0276646,
        0.0279248,
        0.0280753,
        0.0282032,
        0.0284312,
        0.0282568,
        0.0286044,
        0.0289006,
        0.0292331,
        0.0295372,
        0.0298009,
        0.0302676,
        0.0305541,
        0.0308866,
        0.0316936,
        0.032883,
        0.0346237,
        0.0361863,
        0.0374692,
        0.0391837,
        0.0410656,
        0.0435221,
        0.0457793,
        0.0482004,
        0.0495126,
        0.0494669,
        0.0478096,
        0.0457918,
        0.043663,
        0.0414285,
        0.0395399,
        0.038104,
        0.036667,
        0.0356429,
        0.035299,
        0.0346712,
        0.0342153,
        0.0337564,
        0.0334224,
        0.0332353,
        0.0330079,
        0.032714,
        0.0322957,
        0.032813,
        0.0329983,
        0.032471,
        0.0323617,
        0.032718,
        0.0325997,
        0.0326751,
        0.0329391,
        0.0342714,
        0.0400557,
        0.038035,
        0.0329009,
        0.0326416,
        0.0329829,
        0.0332268,
        0.0331478,
        0.0332743,
        0.0334873,
        0.0334619,
        0.0337451,
        0.033999,
        0.0340191,
        0.0344814,
        0.0346871,
        0.0349282,
        0.0354197,
        0.0356263,
        0.035972,
        0.0364207,
        0.0366857,
        0.0370199,
        0.0376496,
        0.0381324,
        0.0386552,
        0.0389353,
        0.039104,
        0.0397565,
        0.040482,
        0.0409681,
        0.0420417,
        0.0430186,
        0.0437452,
        0.0448128,
        0.0459368,
        0.046875,
        0.0481639,
        0.0489163,
        0.0498693,
        0.0510426,
        0.0524746,
        0.0542918,
        0.0553772,
        0.0568413,
        0.058488,
        0.0601916,
        0.0626886,
        0.0653778,
        0.067082,
        0.0697003,
        0.0724189,
        0.0754135,
        0.0782018,
        0.0823094,
        0.0871085,
        0.0910923,
        0.0966668,
        0.101331,
        0.107816,
        0.113475,
        0.122747,
        0.135413,
        0.146211,
        0.159453,
        0.176873,
        0.19878,
        0.227368,
        0.191621,
        0.171776,
        0.153242,
        0.138711,
        0.132002,
        0.12319,
        0.128714,
        0.120276,
        0.0979022,
        0.0931907,
        0.0882209,
        0.0832487,
        0.0792101,
        0.0753933,
        0.0714534,
        0.0677521,
        0.0664111,
        0.0644962,
        0.0622545,
        0.0599881,
        0.0573116,
        0.0558783,
        0.0541977,
        0.0522524,
        0.051143,
        0.0495169,
        0.0482135,
        0.0470387,
        0.0460627,
        0.045199,
        0.0445303,
        0.0435278,
        0.0428314,
        0.0421424,
        0.0413683,
        0.0407072,
        0.0395105,
        0.03882,
        0.0386493,
        0.0383889,
        0.0382455,
        0.0385648,
        0.0368273,
        0.0367891,
        0.0364441,
        0.0361151,
        0.0357301,
        0.0357855,
        0.0393877,
        0.0385185,
        0.0343297,
        0.0341309,
        0.0337907,
        0.0336607,
        0.033197,
        0.032902,
        0.0355792,
        0.0360047,
        0.0323662,
        0.0320908,
        0.0316498,
        0.0314778,
        0.0314814,
        0.0311693,
        0.0307548,
        0.030412,
        0.0301116,
        0.0297816,
        0.0296198,
        0.0324362,
        0.0311211,
        0.0291057,
        0.0288632,
        0.0287014,
        0.0285924,
        0.0284812,
        0.0281936,
        0.0278337,
        0.0275431,
        0.0273281,
        0.0274546,
        0.027709,
        0.0278145,
        0.0271536,
        0.0268986,
        0.0268141,
        0.0266639,
        0.0267028,
        0.0265173,
        0.0292136,
        0.0292406,
        0.0273862,
        0.0259805,
        0.0258602,
        0.0259759,
        0.0260506,
        0.0258116,
        0.0257309,
        0.0255441,
        0.0255379,
        0.0258065,
        0.0257313,
        0.0258225,
        0.0256374,
        0.0254787,
        0.0256216,
        0.0256883,
        0.0257559,
        0.0264806,
        0.0260885,
        0.025929,
        0.026212,
        0.02598,
        0.0259941,
        0.0261291,
        0.0261384,
        0.0260542,
        0.0257836,
        0.0257279,
        0.0258175,
        0.0255696,
        0.025552,
        0.0269924,
        0.0271239,
        0.0254279,
        0.0253597,
        0.0252337,
        0.0251419,
        0.0250472,
        0.0249513,
        0.0245954,
        0.0245607,
        0.0245102,
        0.024503,
        0.0244545,
        0.0243299,
        0.0243074,
        0.0243125,
        0.024055,
        0.0240908,
        0.0239763,
        0.0240393,
        0.0239882,
        0.0237984,
        0.0241499,
        0.0240498,
        0.0237111,
        0.0235579,
        0.0235962,
        0.0235697,
        0.0235259,
        0.0236238,
        0.0234359,
        0.0234523,
        0.0235092,
        0.0235004,
        0.0233253,
        0.0233639,
        0.0234344,
        0.0235778,
        0.0234326,
        0.0243602,
        0.0246663,
        0.0238726,
        0.0238258,
        0.0236629,
        0.0237297,
        0.0238676,
        0.0237436,
        0.0244092,
        0.0244603,
        0.0286891,
        0.0287365,
        0.0239722,
        0.0239902,
        0.0239918,
        0.0239183,
        0.0241068,
        0.0240893,
        0.024304,
        0.0244545,
        0.0243441,
        0.0241769,
        0.0241327,
        0.0242539,
        0.0241844,
        0.0240338,
        0.0240306,
        0.0240941,
        0.024056,
        0.023958,
        0.0239626,
        0.0238714,
        0.0238599,
        0.0239256,
        0.0264328,
        0.0261006,
        0.0235596,
        0.0234726,
        0.0232839,
        0.0231925,
        0.0230318,
        0.0231427,
        0.0230386,
        0.022991,
        0.0228698,
        0.0229478,
        0.0229416,
        0.0230581,
        0.0230016,
        0.0225882,
        0.0226565,
        0.0226761,
        0.0228323,
        0.0229515,
        0.0231383,
        0.0233106,
        0.0235229,
        0.0237121,
        0.0238045,
        0.0238414,
        0.0235865,
        0.0233741,
        0.023106,
        0.0230183,
        0.0231698,
        0.0229735,
        0.0231189,
        0.0229759,
        0.0229092,
        0.0229701,
        0.0231697,
        0.0232644,
        0.0232749,
        0.0235384,
        0.0236098,
        0.0232911,
        0.0235402,
        0.0237267,
        0.0237686,
        0.0238767,
        0.0234995,
        0.023351,
        0.0233899,
        0.0235046,
        0.0245786,
        0.0254703,
        0.0240699,
        0.0240449,
        0.0241856,
        0.0243999,
        0.0247867,
        0.0263002,
        0.0262516,
        0.024629,
        0.0245909,
        0.0243922,
        0.0241214,
        0.0237667,
        0.0236156,
        0.0234768,
        0.0232677,
        0.0230849,
        0.0229504,
        0.0228629,
        0.0229458,
        0.0230309,
        0.0225336,
        0.0223173,
        0.0225346,
        0.0224356,
        0.022428,
        0.0223812,
        0.0224829,
        0.0224475,
        0.0224159,
        0.0223315,
        0.022383,
        0.022425,
        0.0223265,
        0.0220495,
        0.022098,
        0.0221963,
        0.0224181,
        0.0224203,
        0.0225166,
        0.0225672,
        0.0226729,
        0.0227694,
        0.022904,
        0.0227721,
        0.02281,
        0.0228822,
        0.0230704,
        0.0231349,
        0.0232652,
        0.0233322,
        0.023697,
        0.023921,
        0.0238306,
        0.0238223,
        0.023996,
        0.0239206,
        0.0239202,
        0.0239593,
        0.0241187,
        0.0245966,
        0.0247193,
        0.0245373,
        0.0246075,
        0.0245511,
        0.0245892,
        0.0245644,
        0.0245707,
        0.0246129,
        0.0253653,
        0.0254286,
        0.0251364,
        0.0250184,
        0.025227,
        0.0249816,
        0.025605,
        0.0255132,
        0.0246556,
        0.0245224,
        0.0241553,
        0.0241921,
        0.02389,
        0.023943,
        0.0238392,
        0.0237691,
        0.0237833,
        0.0238772,
        0.0238883,
        0.0236882,
        0.0237475,
        0.0235677,
        0.0235726,
        0.0235887,
        0.0237539,
        0.0237674,
        0.0238357,
        0.0240956,
        0.0236891,
        0.023638,
        0.0238311,
        0.0238851,
        0.0240077,
        0.0240865,
        0.0241663,
        0.0263964,
        0.0264929,
        0.0243957,
        0.0244476,
        0.0246406,
        0.0247656,
        0.0248065,
        0.0249792,
        0.0252638,
        0.0254314,
        0.0255996,
        0.025745,
        0.0257535,
        0.0258066,
        0.0259328,
        0.0263047,
        0.026305,
        0.027065,
        0.0270011,
        0.0260176,
        0.026062,
        0.0262282,
        0.0260501,
        0.0265186,
        0.0262192,
        0.0256349,
        0.0253991,
        0.0254799,
        0.0253704,
        0.0253888,
        0.0253232,
        0.0253933,
        0.0252177,
        0.0253515,
        0.0252843,
        0.0251459,
        0.0250555,
        0.0250435,
        0.024977,
        0.0252495,
        0.0253878,
        0.025151,
        0.0250426,
        0.0251729,
        0.0251232,
        0.025163,
        0.0252527,
        0.0251796,
        0.0251784,
        0.0251012,
        0.0253504,
        0.0254749,
        0.0254611,
        0.0257134,
        0.0256535,
        0.0257575,
        0.0259801,
        0.0276565,
        0.0271925,
        0.0254198,
        0.0253891,
        0.0254014,
        0.0255375,
        0.0264247,
        0.026477,
        0.0255609,
        0.025416,
        0.0257727,
        0.0257204,
        0.0259741,
        0.0259325,
        0.0261872,
        0.0263606,
        0.0280763,
        0.027906,
        0.0264102,
        0.0264134,
        0.0265661,
        0.0266641,
        0.0267339,
        0.0266636,
        0.0266467,
        0.0267088,
        0.0267571,
        0.0267151,
        0.0268089,
        0.0268864,
        0.0271288,
        0.0310902,
        0.0310061,
        0.0271359,
        0.0269754,
        0.0272391,
        0.0273436,
        0.0273271,
        0.0275436,
        0.0272486,
        0.0273254,
        0.0277966,
        0.0278781,
        0.0279632,
        0.0281388,
        0.0281362,
        0.028053,
        0.0278936,
        0.0276348,
        0.0275777,
        0.0276354,
        0.0275511,
        0.0272576,
        0.0277324,
        0.0278968,
        0.0271296,
        0.0271658,
        0.0272498,
        0.0273051,
        0.0274075,
        0.0273527,
        0.0274437,
        0.0277902,
        0.0277398,
        0.0288245,
        0.0283434,
        0.0280951,
        0.0279569,
        0.0282129,
        0.028721,
        0.0286617,
        0.0287095,
        0.0287813,
        0.0288917,
        0.0290539,
        0.0291409,
        0.0294411,
        0.0296224,
        0.0296475,
        0.0299132,
        0.0302948,
        0.0303588,
        0.0303281,
        0.030421,
        0.0304237,
        0.0305635,
        0.0305427,
        0.032763,
        0.033219,
        0.0302079,
        0.0305398,
        0.0306699,
        0.0308645,
        0.0311898,
        0.0314261,
        0.0313201,
        0.0313363,
        0.0314003,
        0.0314084,
        0.0314996,
        0.0315688,
        0.0317805,
        0.0318511,
        0.0317471,
        0.033087,
        0.0323413,
        0.0320875,
        0.033428,
        0.0327743,
        0.0319925,
        0.032234,
        0.0321894,
        0.0322922,
        0.0324226,
        0.0322704,
        0.032257,
        0.0321606,
        0.0324281,
        0.0323288,
        0.0321824,
        0.0325421,
        0.0326312,
        0.0328585,
        0.0327871,
        0.0331914,
        0.0335619,
        0.0337032,
        0.0337316,
        0.033709,
        0.0340077,
        0.0340801,
        0.0342862,
        0.0344786,
        0.0347061,
        0.0348676,
        0.0350347,
        0.0356008,
        0.0359452,
        0.0361617,
        0.0362706,
        0.0369156,
        0.0369268,
        0.0372588,
        0.0377558,
        0.0399447,
        0.0411201,
        0.0383071,
        0.0383124,
        0.0385614,
        0.0387802,
        0.0390845,
        0.0396919,
        0.0399742,
        0.0399946,
        0.0411519,
        0.04212,
        0.0414414,
        0.041604,
        0.0415089,
        0.0410619,
        0.0413306,
        0.0422481,
        0.0425885,
        0.0425842,
        0.042721,
        0.0430984,
        0.0441124,
        0.0448665,
        0.0447538,
        0.0455149,
        0.0454902,
        0.045846,
        0.0460754,
        0.0465994,
        0.0470415,
        0.0476106,
        0.048558,
        0.0487566,
        0.0497897,
        0.0501651,
        0.0507028,
        0.0518128,
        0.0530689,
        0.0522234,
        0.052507,
        0.0538978,
        0.0551615,
        0.0558381,
        0.0569285,
        0.0580954,
        0.0602274,
        0.0610208,
        0.0612489,
        0.0634364,
        0.0663687,
        0.0671095,
        0.0687356,
        0.0709016,
        0.0721911,
        0.0743748,
        0.0775947,
        0.0880221,
        0.0904109,
        0.0879168,
        0.0912128,
        0.0936715,
        0.0995698,
        0.104526,
        0.10933,
        0.115008,
        0.128481,
        0.140778,
        0.144071,
        0.156498,
        0.171836,
        0.181763,
        null,
        0.200743,
        0.203975,
        0.19194,
        0.184378,
        0.175781,
        0.167229,
        0.160034,
        0.158269,
        0.15091,
        0.144049,
        0.141436,
        0.137678,
        0.134626,
        0.133176,
        0.130009,
        0.124922,
        0.120488,
        0.119268,
        0.120861,
        0.118364,
        0.115264,
        0.109892,
        0.105295,
        0.104339,
        0.102817,
        0.100607,
        0.09881,
        0.0989994,
        0.0964386,
        0.0923343,
        0.0899155,
        0.088976,
        0.0885992,
        0.0867253,
        0.084774,
        0.0841436,
        0.0818428,
        0.080109,
        0.0792804,
        0.0788998,
        0.078349,
        0.0777762,
        0.075883,
        0.0748562,
        0.0738873,
        0.0731093,
        0.0715324,
        0.0711095,
        0.0696052,
        0.0691101,
        0.068758,
        0.0683058,
        0.0677531,
        0.0669494,
        0.0666113,
        0.0667145,
        0.0668535,
        0.0663991,
        0.065121,
        0.064012,
        0.0640861,
        0.0640669,
        0.0635928,
        0.0636783,
        0.0704978,
        0.0695915,
        0.0613967,
        0.0603498,
        0.0601007,
        0.0597667,
        0.0590897,
        0.0590764,
        0.0586782,
        0.0587599,
        0.057662,
        0.0568329,
        0.0557554,
        0.0557292,
        0.0566982,
        0.0562967,
        0.055709,
        0.0552703,
        0.0551847,
        0.0548636,
        0.0537346,
        0.053656,
        0.0539979,
        0.0529368,
        0.0541863,
        0.0538848,
        0.0509125,
        0.0502769,
        0.0502323,
        0.0513028,
        0.0503256,
        0.0495667,
        0.0501645,
        0.0494266,
        0.048956,
        0.0486342,
        0.0480673,
        0.0476804,
        0.0473485,
        0.0471126,
        0.0466672,
        0.0532371,
        0.0531849,
        0.0467176,
        0.0467399,
        0.0466947,
        0.0468941,
        0.0471363,
        0.0466296,
        0.0463439,
        0.0460851,
        0.0461223,
        0.0457349,
        0.0455755,
        0.0457086,
        0.0457238,
        0.0454435,
        0.0454257,
        0.0456919,
        0.0458802,
        0.0453913,
        0.045068,
        0.0453531,
        0.0453418,
        0.0448629,
        0.044945,
        0.0455815,
        0.0457036,
        0.0453359,
        0.0456679,
        0.0452363,
        0.0452297,
        0.045534,
        0.0454482,
        0.0447189,
        0.044804,
        0.0447057,
        0.0447244,
        0.0444714,
        0.0508034,
        0.0507066,
        0.0441851,
        0.0435689,
        0.0434854,
        0.043799,
        0.0433847,
        0.0432932,
        0.0431499,
        0.0432529,
        0.0436687,
        0.0431752,
        0.0431539,
        0.0433398,
        0.0438881,
        0.0438058,
        0.0441382,
        0.0439666,
        0.0436591,
        0.0439496,
        0.0439764,
        0.0441544,
        0.0447767,
        0.0449897,
        0.0454825,
        0.0455704,
        0.0455427,
        0.046685,
        0.047028,
        0.0455626,
        0.0446112,
        0.0439413,
        0.043903,
        0.0437239,
        0.0436767,
        0.0434028,
        0.043106,
        0.0428948,
        0.0524413,
        0.0521976,
        0.0435438,
        0.0436628,
        0.0440089,
        0.043637,
        0.0433251,
        0.0435794,
        0.0440171,
        0.0436039,
        0.0455511,
        0.046003,
        0.0440109,
        0.0440926,
        0.0440049,
        0.0490081,
        0.0495001,
        0.0444948,
        0.044749,
        0.0446914,
        0.044484,
        0.0445916,
        0.0445735,
        0.0449195,
        0.0452624,
        0.0449016,
        0.0446635,
        0.0454246,
        0.0458645,
        0.0450975,
        0.0477645,
        0.0476927,
        0.0450765,
        0.0456506,
        0.0454963,
        0.0459544,
        0.0462629,
        0.0456371,
        0.0506505,
        0.0505024,
        0.0453933,
        0.0457517,
        0.0491858,
        0.0472328,
        0.0462858,
        0.0460489,
        0.0466625,
        0.0469087,
        0.0470714,
        0.0512726,
        0.0519345,
        0.0486445,
        0.0477539,
        0.0480265,
        0.048434,
        0.0479406,
        0.048096,
        0.0481375,
        0.0487363,
        0.0494984,
        0.0515495,
        0.0505069,
        0.0523097,
        0.0576915,
        0.0570347,
        0.0510465,
        0.0514433,
        0.0517224,
        0.0521518,
        0.0529283,
        0.0541233,
        0.0541814,
        0.0548339,
        0.0551221,
        0.0557609,
        0.0558926,
        0.0561803,
        0.059166,
        0.0600179,
        0.0579013,
        0.058362,
        0.0590783,
        0.0602805,
        0.0616147,
        0.0622389,
        0.0634163,
        0.0637675,
        0.0635587,
        0.0646013,
        0.0656654,
        0.0671372,
        0.068603,
        0.0689154,
        0.0689346,
        0.0702498,
        0.0717304,
        0.07301,
        0.0730769,
        0.0745025,
        0.0757416,
        0.0773467,
        0.0783985,
        0.082216,
        0.0835318,
        0.0850707,
        0.0863718,
        0.0860454,
        0.0980169,
        0.100164,
        0.0911487,
        0.0910498,
        0.092319,
        0.09579,
        0.0976111,
        0.0990311,
        0.101677,
        0.106836,
        0.107117,
        0.110138,
        0.115039,
        0.116411,
        0.119861,
        0.122466,
        0.127123,
        0.134686,
        0.141627,
        0.145688,
        0.147625,
        0.170699,
        0.177674,
        0.163918,
        0.178044,
        0.187771,
        0.198222,
        null,
        0.201729,
        0.204334,
        0.184459,
        0.173428,
        0.161958,
        0.156898,
        0.147908,
        0.145634,
        0.140744,
        0.134952,
        0.130262,
        0.126055,
        0.137168,
        0.139804,
        0.115156,
        0.112093,
        0.111243,
        0.105185,
        0.0988397,
        0.0971939,
        0.0962386,
        0.0960701,
        0.0937387,
        0.0907899,
        0.0877012,
        0.0864296,
        0.0843302,
        0.0839651,
        0.0817724,
        0.0877269,
        0.0946645,
        0.083848,
        0.0760153,
        0.0752251,
        0.0749387,
        0.0746692,
        0.0732882,
        0.0716475,
        0.0709035,
        0.071186,
        0.0720102,
        0.0690007,
        0.0675171,
        0.067219,
        0.0675324,
        0.0672054,
        0.0670997,
        0.0665733,
        0.0646066,
        0.0641441,
        0.073346,
        0.0743315,
        0.0635893,
        0.0630989,
        0.0626318,
        0.0627206,
        0.0632329,
        0.0624373,
        0.0619313,
        0.0613244,
        0.061448,
        0.0645353,
        0.0714473,
        0.0732086,
        0.0628579,
        0.0637108,
        0.0700165,
        0.0698919,
        0.0653418,
        0.0657941,
        0.0669384,
        0.0705465,
        0.072686,
        0.0738771,
        0.0775584,
        0.081595,
        0.0880052,
        0.0907754,
        0.0964253,
        0.105278,
        0.112733,
        0.114591,
        0.116907,
        0.116091,
        0.115646,
        0.10786,
        0.0999526,
        0.0940738,
        0.087825,
        0.0815263,
        0.0771366,
        0.0704654,
        0.0657276,
        0.0628975,
        0.0609659,
        0.0595187,
        0.0594302,
        0.0579244,
        0.0580172,
        0.059695,
        0.0536539,
        0.0527659,
        0.053265,
        0.0601694,
        0.0611898,
        0.0520387,
        0.0515525,
        0.0517655,
        0.0509104,
        0.0504658,
        0.0487442,
        0.0482155,
        0.0479581,
        0.0471207,
        0.0462008,
        0.0458447,
        0.0462283,
        0.0454786,
        0.0452178,
        0.0478208,
        0.0470765,
        0.0442416,
        0.0441023,
        0.04288,
        0.0432643,
        0.0430164,
        0.0429811,
        0.0434349,
        0.0422338,
        0.0416551,
        0.0422417,
        0.0425015,
        0.0422268,
        0.0419336,
        0.0415735,
        0.0414965,
        0.0435516,
        0.0433054,
        0.0417708,
        0.0420689,
        0.0414519,
        0.0417483,
        0.041393,
        0.0406444,
        0.0406596,
        0.0432812,
        0.0426752,
        0.0397456,
        0.0389778,
        0.0388762,
        0.0384354,
        0.0381328,
        0.0380598,
        0.0433615,
        0.0436333,
        0.0370219,
        0.03646,
        0.0364071,
        0.0362731,
        0.0366812,
        0.0371054,
        0.0368053,
        0.0365187,
        0.0361106,
        0.0365283,
        0.0366469,
        0.036933,
        0.036995,
        0.037791,
        0.038459,
        0.0386222,
        0.0392594,
        0.0395916,
        0.0399425,
        0.0398841,
        0.038298,
        0.0373687,
        0.0367508,
        0.0366583,
        0.0364326,
        0.0361351,
        0.035825,
        0.0359154,
        0.0359407,
        0.0359557,
        0.035991,
        0.0357621,
        0.035823,
        0.0359909,
        0.0360793,
        0.0365092,
        0.0365211,
        0.0366384,
        0.036621,
        0.0371807,
        0.0369279,
        0.0390924,
        0.0402724,
        0.0370528,
        0.0369321,
        0.037096,
        0.037219,
        0.037018,
        0.0370485,
        0.0362785,
        0.0370357,
        0.0361968,
        0.0357319,
        0.0353926,
        0.0353497,
        0.0354838,
        0.0353369,
        0.0353256,
        0.0350659,
        0.0350742,
        0.0360709,
        0.0354577,
        0.0347127,
        0.0342067,
        0.0339475,
        0.0339129,
        0.0337838,
        0.0337432,
        0.0334472,
        0.033573,
        0.0334533,
        0.0336088,
        0.0334559,
        0.0337319,
        0.0330742,
        0.0328603,
        0.0332315,
        0.0338065,
        0.0330789,
        0.0331906,
        0.0335754,
        0.0333072,
        0.0331225,
        0.0334154,
        0.033782,
        0.034138,
        0.034754,
        0.03414,
        0.0387995,
        0.0393782,
        0.0345171,
        0.0347028,
        0.0353381,
        0.0359142,
        0.0366121,
        0.0377968,
        0.0385266,
        0.0404071,
        0.0428005,
        0.0457423,
        0.0496615,
        0.0529012,
        0.0558797,
        0.0575205,
        0.0570833,
        0.0543508,
        0.0505534,
        0.0469242,
        0.0441622,
        0.042025,
        0.0399492,
        0.0386879,
        0.0375581,
        0.0369696,
        0.0367756,
        0.0360515,
        0.0381731,
        0.039944,
        0.0354335,
        0.0353213,
        0.035153,
        0.0351272,
        0.0345107,
        0.0346293,
        0.0345879,
        0.034478,
        0.0344878,
        0.0387608,
        0.0371215,
        0.033988,
        0.0341628,
        0.0348178,
        0.0347952,
        0.0345764,
        0.0339492,
        0.0330981,
        0.0335093,
        0.0334905,
        0.0336921,
        0.0336079,
        0.0333179,
        0.0332083,
        0.0330781,
        0.0328657,
        0.0327807,
        0.0398554,
        0.039187,
        0.032774,
        0.0328692,
        0.0325228,
        0.0324936,
        0.0322829,
        0.0325448,
        0.036998,
        0.0347301,
        0.03272,
        0.0325042,
        0.0327446,
        0.0329113,
        0.032751,
        0.0329764,
        0.0335011,
        0.0333194,
        0.0330064,
        0.0332796,
        0.0330725,
        0.0331621,
        0.0330857,
        0.0367,
        0.0373443,
        0.0337097,
        0.0336548,
        0.0336537,
        0.0336628,
        0.0336227,
        0.0335426,
        0.0368039,
        0.0375032,
        0.0340478,
        0.0338465,
        0.0338491,
        0.033625,
        0.0336288,
        0.0336849,
        0.0338539,
        0.033916,
        0.034012,
        0.033916,
        0.0337103,
        0.0341033,
        0.0338827,
        0.0340175,
        0.0341506,
        0.0345363,
        0.034912,
        0.0342565,
        0.0340237,
        0.0343329,
        0.033965,
        0.0338805,
        0.0338674,
        0.03793,
        0.0367261,
        0.0337858,
        0.0335534,
        0.0334878,
        0.033379,
        0.0333569,
        0.0333538,
        0.0335826,
        0.0337563,
        0.033682,
        0.0336977,
        0.0331525,
        0.0331843,
        0.0329362,
        0.0327144,
        0.0328412,
        0.0328969,
        0.0329267,
        0.0331229,
        0.0327731,
        0.0326652,
        0.0379668,
        0.0378863,
        0.0327222,
        0.0330448,
        0.0331462,
        0.0329779,
        0.0330761,
        0.0332976,
        0.0333251,
        0.0331397,
        0.0332845,
        0.0333478,
        0.0335821,
        0.034122,
        0.0344759,
        0.0338065,
        0.0338944,
        0.0341953,
        0.0342089,
        0.0343078,
        0.0345434,
        0.0344891,
        0.0341911,
        0.0345645,
        0.035203,
        0.0350176,
        0.0347096,
        0.0347335,
        0.0347593,
        0.0351377,
        0.0349436,
        0.035263,
        0.0352189,
        0.0354246,
        0.0361368,
        0.0364776,
        0.0362168,
        0.0363432,
        0.0365836,
        0.0362971,
        0.0363396,
        0.0361297,
        0.0360968,
        0.0363443,
        0.0360165,
        0.0361927,
        0.0364098,
        0.0364418,
        0.0366666,
        0.0362962,
        0.0367737,
        0.0368495,
        0.0369827,
        0.0365528,
        0.0373728,
        0.0378909,
        0.038106,
        0.0382512,
        0.0383143,
        0.0388363,
        0.0395374,
        0.0402357,
        0.0413155,
        0.0426534,
        0.0437766,
        0.0452193,
        0.0466322,
        0.0482712,
        0.0501596,
        0.0514749,
        0.0527214,
        0.054211,
        0.0548317,
        0.0557848,
        0.056116,
        0.0573553,
        0.0581532,
        0.0583895,
        0.061828,
        0.0593472,
        0.0566097,
        0.0562568,
        0.0569036,
        0.0571733,
        0.056942,
        null,
        0.027775,
        0.0277521,
        0.0276842,
        0.0280527,
        0.0283963,
        0.0284517,
        0.0284997,
        0.0285922,
        0.0285453,
        0.028499,
        0.0282011,
        0.0280517,
        0.027844,
        0.0286051,
        0.0285842,
        0.0274622,
        0.027351,
        0.0271284,
        0.0271468,
        0.0271427,
        0.0271284,
        0.0271668,
        0.0271541,
        0.0274113,
        0.0274913,
        0.0273487,
        0.0274421,
        0.0276323,
        0.0284474,
        0.0290965,
        0.02944,
        0.0301565,
        0.0317677,
        0.0376296,
        0.0571819,
        0.0493061,
        0.0407738,
        0.0420104,
        0.0419073,
        0.0404349,
        0.037892,
        0.0349482,
        0.0327642,
        0.0311821,
        0.0298923,
        0.0288404,
        0.0283903,
        0.0280415,
        0.0275796,
        0.0274006,
        0.0273791,
        0.0272262,
        0.0270646,
        0.0271792,
        0.0273292,
        0.0274,
        0.0274437,
        0.0273019,
        0.0274815,
        0.0275255,
        0.0273294,
        0.0273152,
        0.0273717,
        0.0273073,
        0.0274035,
        0.0278314,
        0.0279654,
        0.0278824,
        0.0278924,
        0.0277646,
        0.0278776,
        0.0280652,
        0.0279443,
        0.0279421,
        0.0279527,
        0.0289593,
        0.0290613,
        0.0278057,
        0.0278287,
        0.0280845,
        0.0282427,
        0.0279454,
        0.027769,
        0.0278725,
        0.0288572,
        0.0284652,
        0.0285298,
        0.0289843,
        0.0293078,
        0.0299498,
        0.0309585,
        0.0323625,
        0.0335105,
        0.0350836,
        0.0371836,
        0.0400974,
        0.0447094,
        0.0510618,
        0.0615443,
        0.076328,
        0.0965208,
        0.12341,
        0.155746,
        0.171795,
        0.154148,
        0.124419,
        0.0977395,
        0.0759116,
        0.0610147,
        0.0514942,
        0.0450462,
        0.0408349,
        0.0378508,
        0.035561,
        0.0339858,
        0.0328221,
        0.031717,
        0.0308372,
        0.0298481,
        0.0291231,
        0.0288705,
        0.028435,
        0.0278715,
        0.0275635,
        0.0273926,
        0.0269348,
        0.0267061,
        0.0264002,
        0.0262747,
        0.0262312,
        0.026244,
        0.0262628,
        0.0260151,
        0.0260813,
        0.0258999,
        0.0258839,
        0.0255441,
        0.0255786,
        0.025473,
        0.0252445,
        0.0249822,
        0.0248868,
        0.0258688,
        0.0258878,
        0.0256877,
        0.0248645,
        0.0243275,
        0.0242261,
        0.0242764,
        0.0242137,
        0.0241977,
        0.0242705,
        0.0239573,
        0.0239212,
        0.0240192,
        0.0240995,
        0.0241165,
        0.0240707,
        0.0240765,
        0.0241936,
        0.0242977,
        0.0243148,
        0.0242326,
        0.0242182,
        0.0242374,
        0.024186,
        0.0241692,
        0.0243982,
        0.0248199,
        0.025144,
        0.0243765,
        0.0244906,
        0.0244605,
        0.0245637,
        0.0246274,
        0.0248349,
        0.0248519,
        0.0249355,
        0.0249774,
        0.0250217,
        0.0253871,
        0.0252899,
        0.0252634,
        0.0250552,
        0.0250713,
        0.025188,
        0.0250818,
        0.0248941,
        0.0247624,
        0.0248054,
        0.0247641,
        0.0246456,
        0.0245683,
        0.0245502,
        0.0244958,
        0.0245669,
        0.0244044,
        0.0244231,
        0.0244278,
        0.0244217,
        0.0240621,
        0.0238985,
        0.0240402,
        0.0241141,
        0.024149,
        0.0241035,
        0.0238317,
        0.0237182,
        0.0235474,
        0.023427,
        0.0234589,
        0.0234869,
        0.0234731,
        0.0234186,
        0.0234332,
        0.023377,
        0.0233642,
        0.0234176,
        0.0232932,
        0.0232926,
        0.023217,
        0.0232925,
        0.0234486,
        0.023624,
        0.0235826,
        0.0233318,
        0.0231594,
        0.0233689,
        0.0235309,
        0.0236627,
        0.0237034,
        0.0235591,
        0.0235203,
        0.0233948,
        0.0254617,
        0.0257381,
        0.0239363,
        0.0238876,
        0.0239166,
        0.0239801,
        0.0244363,
        0.0239943,
        0.0240051,
        0.0238653,
        0.0237743,
        0.0239008,
        0.0241181,
        0.0240698,
        0.0240155,
        0.0240503,
        0.0240382,
        0.0240897,
        0.0239682,
        0.0239168,
        0.0238368,
        0.0236808,
        0.0236132,
        0.0237193,
        0.0236145,
        0.0235534,
        0.0235304,
        0.0233973,
        0.0234307,
        0.023558,
        0.0234204,
        0.0232593,
        0.0232399,
        0.0231353,
        0.022983,
        0.0230079,
        0.0231487,
        0.0230325,
        0.0228526,
        0.0228246,
        0.0229363,
        0.0229804,
        0.0232845,
        0.0230707,
        0.0229351,
        0.0228412,
        0.0227575,
        0.0229475,
        0.0229713,
        0.0229236,
        0.022855,
        0.0230759,
        0.0231931,
        0.0233977,
        0.0236392,
        0.0239556,
        0.0240735,
        0.0242311,
        0.0242682,
        0.0245529,
        0.024534,
        0.02466,
        0.0250382,
        0.0247154,
        0.0246451,
        0.0246171,
        0.0245287,
        0.0273102,
        0.0272691,
        0.0241525,
        0.0237924,
        0.0237659,
        0.0237554,
        0.0238003,
        0.0247492,
        0.0255185,
        0.0240139,
        0.0241516,
        0.0237613,
        0.0235419,
        0.0234348,
        0.0232753,
        0.0235173,
        0.0234032,
        0.0233701,
        0.0231343,
        0.023303,
        0.023203,
        0.0231489,
        0.0231838,
        0.022925,
        0.023035,
        0.0230477,
        0.0228696,
        0.02284,
        0.0228224,
        0.0228611,
        0.0227251,
        0.0227526,
        0.0226242,
        0.025511,
        0.0244307,
        0.0227626,
        0.0225334,
        0.0225364,
        0.0227162,
        0.0226958,
        0.0225697,
        0.0226236,
        0.0225802,
        0.0227036,
        0.0226481,
        0.0225887,
        0.022492,
        0.0242295,
        0.0250889,
        0.0226907,
        0.022813,
        0.0228565,
        0.0228268,
        0.022931,
        0.0229101,
        0.0229697,
        0.0230203,
        0.0229187,
        0.023149,
        0.0232023,
        0.0232255,
        0.0231379,
        0.0231092,
        0.0232321,
        0.0232761,
        0.0233872,
        0.0235453,
        0.0237421,
        0.02385,
        0.0239692,
        0.0238229,
        0.0240509,
        0.0238027,
        0.0236426,
        0.0235123,
        0.0233971,
        0.0233983,
        0.0232973,
        0.0233154,
        0.0232407,
        0.0230327,
        0.0228704,
        0.0228275,
        0.0228297,
        0.0228254,
        0.0227681,
        0.022853,
        0.0226868,
        0.0223293,
        0.0221294,
        0.0221696,
        0.0221856,
        0.0222859,
        0.022185,
        0.0221712,
        0.0221872,
        0.0221204,
        0.0236684,
        0.0235399,
        0.0218516,
        0.0218782,
        0.021773,
        0.0218556,
        0.0218215,
        0.0219306,
        0.0220652,
        0.0220476,
        0.0221044,
        0.0220539,
        0.0219582,
        0.0220489,
        0.0220114,
        0.0222052,
        0.0223142,
        0.0224056,
        0.0224791,
        0.0223834,
        0.0226788,
        0.0228823,
        0.0229041,
        0.0228287,
        0.0228728,
        0.0229551,
        0.0228966,
        0.0228224,
        0.0227701,
        0.0228039,
        0.02288,
        0.0227629,
        0.022924,
        0.0232369,
        0.0229935,
        0.0229813,
        0.0231425,
        0.0232912,
        0.0232616,
        0.0232865,
        0.0233624,
        0.0233696,
        0.0232895,
        0.0233815,
        0.0235703,
        0.0236426,
        0.0235697,
        0.0235471,
        0.0247171,
        0.0254938,
        0.0241674,
        0.0241003,
        0.0241987,
        0.0245988,
        0.024803,
        0.025216,
        0.0256771,
        0.0266192,
        0.0271754,
        0.031591,
        0.0308113,
        0.0305407,
        0.0323075,
        0.0343578,
        0.0362952,
        0.037813,
        0.0391609,
        0.0395173,
        0.038166,
        0.036859,
        0.0346396,
        0.0327372,
        0.0307929,
        0.0292063,
        0.0280203,
        0.0271311,
        0.0290851,
        0.028793,
        0.0252842,
        0.0249714,
        0.0247374,
        0.0245467,
        0.0242675,
        0.0241437,
        0.0239623,
        0.0238461,
        0.0237279,
        0.0237638,
        0.0235623,
        0.0235495,
        0.0236175,
        0.0234272,
        0.0233978,
        0.0234782,
        0.0234769,
        0.0235018,
        0.0232246,
        0.0234107,
        0.0232661,
        0.0233069,
        0.0233624,
        0.0232835,
        0.0230652,
        0.0231266,
        0.0228435,
        0.0228664,
        0.0228931,
        0.0228862,
        0.0227756,
        0.0228046,
        0.0227228,
        0.022828,
        0.0226861,
        0.0226651,
        0.0225896,
        0.0225688,
        0.0224297,
        0.022543,
        0.0223721,
        0.022366,
        0.0226495,
        0.022429,
        0.0222741,
        0.0225825,
        0.0226213,
        0.0224153,
        0.0224085,
        0.0225404,
        0.0225257,
        0.0224494,
        0.0224973,
        0.0225408,
        0.0226104,
        0.0224108,
        0.0224357,
        0.0225897,
        0.0225723,
        0.022513,
        0.0227402,
        0.0229175,
        0.0229928,
        0.0229389,
        0.0230231,
        0.0231713,
        0.0232147,
        0.0233422,
        0.0235014,
        0.0235301,
        0.0234008,
        0.0236247,
        0.0237901,
        0.0240503,
        0.0242556,
        0.0243784,
        0.0245057,
        0.0245967,
        0.0247509,
        0.0246434,
        0.0246934,
        0.0251325,
        0.0255192,
        0.0282899,
        0.028523,
        0.0256311,
        0.0256822,
        0.025924,
        0.0319382,
        0.0320948,
        0.0265345,
        0.0265392,
        0.026567,
        0.0265003,
        0.0264889,
        0.0266088,
        0.0265166,
        0.0265178,
        0.0265818,
        0.0266777,
        0.0266674,
        0.0269633,
        0.0269789,
        0.0269718,
        0.027206,
        0.0273507,
        0.0275619,
        0.0277696,
        0.0278778,
        0.0306622,
        0.0306253,
        0.02832,
        0.0288107,
        0.0289972,
        0.0292594,
        0.0295314,
        0.0298387,
        0.0303715,
        0.0306718,
        0.0313213,
        0.0322513,
        0.0327326,
        0.0331538,
        0.0338621,
        0.0347991,
        0.0354905,
        0.0364363,
        0.0373381,
        0.0382612,
        0.0397573,
        0.0411021,
        0.0425056,
        0.0447301,
        0.0468226,
        0.0518435,
        0.0527258,
        0.0544275,
        0.0581764,
        0.0625953,
        0.0673039,
        0.0725719,
        0.0792024,
        0.0868785,
        0.0976603,
        0.110665,
        0.126664,
        0.149464,
        0.17656,
        0.223939,
        0.178624,
        0.146406,
        0.122894,
        0.108019,
        0.0975106,
        0.0862777,
        0.0793282,
        0.0879872,
        0.0810208,
        0.0628536,
        0.0578132,
        0.0532736,
        0.0506542,
        0.0483655,
        0.0458351,
        0.0441298,
        0.0425438,
        0.0413864,
        0.0402927,
        0.0391111,
        0.0380828,
        0.0371546,
        0.0361967,
        0.0356705,
        0.0348284,
        0.0343514,
        0.033544,
        0.0333362,
        0.0324208,
        0.0319436,
        0.0316559,
        0.0313421,
        0.0311356,
        0.0310638,
        0.0305049,
        0.0304396,
        0.0304945,
        0.0299501,
        0.0298521,
        0.0298292,
        0.0293959,
        0.0290869,
        0.028756,
        0.0284779,
        0.0282217,
        0.0279924,
        0.0277603,
        0.027396,
        0.0271779,
        0.0270594,
        0.026928,
        0.0268464,
        0.0263606,
        0.0263981,
        0.0258966,
        0.0257727,
        0.0255809,
        0.0254886,
        0.0253512,
        0.0253617,
        0.0253,
        0.0249234,
        0.0245772,
        0.0247161,
        0.0244836,
        0.0244271,
        0.0244172,
        0.0244919,
        0.0243296,
        0.0241657,
        0.0240789,
        0.0241071,
        0.0241224,
        0.0241986,
        0.0243985,
        0.0248633,
        0.0242259,
        0.024082,
        0.0241638,
        0.0242903,
        0.0244744,
        0.0245237,
        0.0243781,
        0.024188,
        0.0241139,
        0.0241154,
        0.0242262,
        0.0246308,
        0.025054,
        0.0256091,
        0.0266656,
        0.0275294,
        0.0284965,
        0.0280661,
        0.0278062,
        0.0259584,
        0.024729,
        0.0242244,
        0.0240373,
        0.0237727,
        0.0236922,
        0.0235806,
        0.0236106,
        0.0234466,
        0.0234706,
        0.0235864,
        0.0263538,
        0.0265336,
        0.0235516,
        0.0236405,
        0.0234479,
        0.0232683,
        0.023492,
        0.0239125,
        0.0241936,
        0.024148,
        0.0243699,
        0.024265,
        0.0243298,
        0.0241693,
        0.0240013,
        0.023675,
        0.0235961,
        0.0232783,
        0.0230934,
        0.0229723,
        0.0227339,
        0.0225652,
        0.0225398,
        0.0224544,
        0.022329,
        0.0223281,
        0.022253,
        0.0227479,
        0.0219166,
        0.021767,
        0.0216458,
        0.0217656,
        0.0216998,
        0.0217508,
        0.0217132,
        0.0218056,
        0.021891,
        0.0218613,
        0.0220214,
        0.0221103,
        0.0218851,
        0.0218343,
        0.0220005,
        0.022075,
        0.0219729,
        0.0221984,
        0.022169,
        0.0221503,
        0.0220987,
        0.0221361,
        0.0219779,
        0.0220709,
        0.0221422,
        0.0223571,
        0.0226584,
        0.0234693,
        0.0233918,
        0.0225682,
        0.0225129,
        0.0224587,
        0.0224786,
        0.0226079,
        0.0225434,
        0.022671,
        0.0227656,
        0.0228091,
        0.0228824,
        0.0228214,
        0.0226678,
        0.0229229,
        0.022878,
        0.0228368,
        0.0231055,
        0.0235009,
        0.0241428,
        0.0240982,
        0.0240908,
        0.0240271,
        0.0235902,
        0.0230958,
        0.0226464,
        0.0224082,
        0.0224094,
        0.0223186,
        0.022384,
        0.0225301,
        0.0222217,
        0.0221731,
        0.0220319,
        0.022044,
        0.0221018,
        0.0220983,
        0.0220262,
        0.022229,
        0.0222598,
        0.0220228,
        0.0216492,
        0.0218139,
        0.0219842,
        0.0221474,
        0.0237621,
        0.0238151,
        0.0221707,
        0.0219584,
        0.0219428,
        0.0218655,
        0.0219827,
        0.0221043,
        0.0222799,
        0.0258237,
        0.0260667,
        0.0224429,
        0.0222573,
        0.0222061,
        0.0223554,
        0.0225565,
        0.0225112,
        0.0225835,
        0.0225735,
        0.0225422,
        0.0226551,
        0.0226772,
        0.0227126,
        0.0228543,
        0.0229118,
        0.022957,
        0.0228793,
        0.0229387,
        0.0229528,
        0.0231768,
        0.0266745,
        0.0265951,
        0.0232598,
        0.0230358,
        0.0227244,
        0.0228926,
        0.02296,
        0.0228798,
        0.0227483,
        0.0226612,
        0.0227103,
        0.0227767,
        0.0226789,
        0.022637,
        0.0225996,
        0.022532,
        0.0225737,
        0.0225686,
        0.0227202,
        0.0224269,
        0.0223905,
        0.0224622,
        0.022312,
        0.022304,
        0.0222512,
        0.0223205,
        0.0221931,
        0.022694,
        0.0227214,
        0.0221273,
        0.0219689,
        0.0221456,
        0.0219984,
        0.0221304,
        0.0221662,
        0.0220322,
        0.0218982,
        0.0220532,
        0.0222017,
        0.0222613,
        0.0220817,
        0.0222551,
        0.0223943,
        0.0224516,
        0.0224572,
        0.0224728,
        0.0222619,
        0.0223256,
        0.0226665,
        0.0228236,
        0.0227165,
        0.0227318,
        0.0225694,
        0.0227009,
        0.0227162,
        0.0230984,
        0.0230862,
        0.0232127,
        0.0233823,
        0.0233569,
        0.0234925,
        0.0234801,
        0.0233446,
        0.0235102,
        0.0235422,
        0.0235062,
        0.0239123,
        0.0238763,
        0.0234056,
        0.0232292,
        0.0232715,
        0.0233332,
        0.0233564,
        0.0235774,
        0.0234073,
        0.0234585,
        0.0237825,
        0.0239175,
        0.0240307,
        0.0240786,
        0.0243096,
        0.0245307,
        0.0245479,
        0.0254728,
        0.0257571,
        0.0244745,
        0.0248204,
        0.0238194,
        0.0233548,
        0.0230168,
        0.0229969,
        0.0229225,
        0.0229517,
        0.0227216,
        0.0226537,
        0.0225915,
        0.0224852,
        0.0229876,
        0.0226458,
        0.0229509,
        0.0227681,
        0.0224703,
        0.0225857,
        0.0225393,
        0.0225417,
        0.0226481,
        0.022782,
        0.02263,
        0.0240425,
        0.0240594,
        0.0227312,
        0.0226172,
        0.0227633,
        0.0235757,
        0.0235712,
        0.0230216,
        0.0233129,
        0.0249265,
        0.0259192,
        0.0233296,
        0.0233649,
        0.023595,
        0.0232672,
        0.0231427,
        0.0233135,
        0.0234326,
        0.0237553,
        0.0241553,
        0.0238616,
        0.0238192,
        0.0237237,
        0.0237397,
        0.0238568,
        0.0237125,
        0.0236798,
        0.0238163,
        0.0238641,
        0.0239735,
        0.0239177,
        0.0238641,
        0.0239501,
        0.0240345,
        0.0241396,
        0.0242779,
        0.024593,
        0.0239897,
        0.0240856,
        0.0238354,
        0.0237439,
        0.0235703,
        0.0235625,
        0.0235429,
        0.023446,
        0.0233841,
        0.0257188,
        0.0273361,
        0.0248794,
        0.0233276,
        0.0231562,
        0.0230105,
        0.0229808,
        0.023075,
        0.0227749,
        0.0232859,
        0.0233841,
        0.0230977,
        0.0231191,
        0.0234142,
        0.0232627,
        0.0231145,
        0.0231213,
        0.0230964,
        0.023106,
        0.0232347,
        0.0231821,
        0.0232486,
        0.023277,
        0.0235973,
        0.0280685,
        0.0280783,
        0.0234961,
        0.0236117,
        0.0237683,
        0.0240142,
        0.02455,
        0.0243231,
        0.0244589,
        0.0245702,
        0.0245354,
        0.0247281,
        0.0248119,
        0.0250016,
        0.0247789,
        0.0254381,
        0.0257825,
        0.0251778,
        0.0246666,
        0.0246642,
        0.0246259,
        0.0253819,
        0.0251157,
        0.0246774,
        0.0244892,
        0.0242844,
        0.0243864,
        0.0242447,
        0.0240805,
        0.0242617,
        0.0241748,
        0.0241103,
        0.0239739,
        0.024018,
        0.0240656,
        0.0240665,
        0.0239064,
        0.0238954,
        0.0237416,
        0.0235973,
        0.0235702,
        0.0236046,
        0.024565,
        0.024389,
        0.0234749,
        0.0235652,
        0.0235168,
        0.0233712,
        0.0234036,
        0.023399,
        0.0241166,
        0.0239978,
        0.0232303,
        0.0233766,
        0.0233679,
        0.0231462,
        0.0232147,
        0.0232984,
        0.0232659,
        0.0234055,
        0.023429,
        0.0231841,
        0.0232494,
        0.0234045,
        0.0234581,
        0.0235907,
        0.0237128,
        0.0237463,
        0.0272548,
        0.0271312,
        0.0246138,
        0.024324,
        0.0241834,
        0.0240713,
        0.0241075,
        0.0241342,
        0.0242226,
        0.0246105,
        0.0245413,
        0.0244745,
        0.0269645,
        0.0259428,
        0.0246153,
        0.0246828,
        0.0247536,
        0.0251253,
        0.0253556,
        0.0249948,
        0.0247343,
        0.0247613,
        0.0247585,
        0.0249612,
        0.0250312,
        0.0250598,
        0.0249673,
        0.0251953,
        0.0249814,
        0.0250029,
        0.0252199,
        0.025339,
        0.0251891,
        0.02537,
        0.0254501,
        0.0257152,
        0.0262831,
        0.0263465,
        0.0264157,
        0.0266112,
        0.0271631,
        0.0272761,
        0.0264179,
        0.0260071,
        0.0256627,
        0.0253684,
        0.0254201,
        0.0253451,
        0.0252019,
        0.024911,
        0.0247417,
        0.0249657,
        0.0246458,
        0.0245469,
        0.0245236,
        0.0245236,
        0.0244977,
        0.0245911,
        0.0245104,
        0.02466,
        0.0247186,
        0.0246599,
        0.0246503,
        0.024484,
        0.0246112,
        0.0246037,
        0.0247076,
        0.0247565,
        0.0249635,
        0.0250074,
        0.0251168,
        0.0253155,
        0.0254458,
        0.0253474,
        0.0256239,
        0.0253728,
        0.0253673,
        0.025615,
        0.0255248,
        0.0256578,
        0.0260815,
        0.0260425,
        0.0259766,
        0.0261525,
        0.0262418,
        0.0259359,
        0.0256712,
        0.0260039,
        0.0259727,
        0.0258036,
        0.0259116,
        0.0259826,
        0.0258997,
        0.0259696,
        0.0261689,
        0.0263468,
        0.0260007,
        0.0258443,
        0.0260188,
        0.0259542,
        0.0258775,
        0.0257963,
        0.0258537,
        0.0261403,
        0.0259454,
        0.0259021,
        0.0257671,
        0.0258237,
        0.0289257,
        0.0274477,
        0.0256379,
        0.0260062,
        0.0261323,
        0.0275203,
        0.0273242,
        0.0255244,
        0.0254732,
        0.0256613,
        0.0256396,
        0.025804,
        0.0259351,
        0.0262497,
        0.0260335,
        0.0264686,
        0.0262789,
        0.0257143,
        0.0257345,
        0.0256904,
        0.0290468,
        0.0277769,
        0.025997,
        0.0260495,
        0.0261235,
        0.0299899,
        0.0291137,
        0.0260998,
        0.0262379,
        0.0266225,
        0.0265984,
        0.0266984,
        0.0268092,
        0.0270667,
        0.0296742,
        0.0303653,
        0.0272485,
        0.0271695,
        0.0271214,
        0.0272781,
        0.0273973,
        0.0306493,
        0.0293546,
        0.0270427,
        0.027278,
        0.0271604,
        0.0273567,
        0.0273965,
        0.0275402,
        0.0280255,
        0.0281299,
        0.0279383,
        0.030439,
        0.0302021,
        0.0277336,
        0.0275688,
        0.0274268,
        0.0282511,
        0.0276874,
        0.0272002,
        0.027409,
        0.0274463,
        0.0273072,
        0.0272302,
        0.0272385,
        0.0271096,
        0.0270925,
        0.0271936,
        0.0272392,
        0.027258,
        0.0273541,
        0.0272207,
        0.0325051,
        0.0328171,
        0.0275594,
        0.0273061,
        0.0273545,
        0.0274277,
        0.0275321,
        0.0275084,
        0.0272079,
        0.0275832,
        0.0274659,
        0.0272124,
        0.0274588,
        0.0275355,
        0.0275775,
        0.0276275,
        0.027616,
        0.0279998,
        0.0281852,
        0.0280947,
        0.0281268,
        0.0283234,
        0.0320899,
        0.0335472,
        0.0310184,
        0.0347182,
        0.0349722,
        0.0293037,
        0.0286685,
        0.0287841,
        0.0286812,
        0.0290011,
        0.0291692,
        0.0291072,
        0.0288857,
        0.0290511,
        0.029268,
        0.0295894,
        0.0296571,
        0.030056,
        0.0300408,
        0.03009,
        0.0302274,
        0.0302826,
        0.0302949,
        0.0304359,
        0.0309453,
        0.0309439,
        0.0309264,
        0.0310895,
        0.0314058,
        0.0315594,
        0.0319969,
        0.0320993,
        0.032469,
        0.0333418,
        0.0344417,
        0.0355955,
        0.0365035,
        0.0404081,
        0.0416491,
        0.0391452,
        0.0394534,
        0.0388616,
        0.0378491,
        0.0376497,
        0.0384571,
        0.0377111,
        0.035995,
        0.0352742,
        0.0341839,
        0.033715,
        0.0332278,
        0.0327894,
        0.0322724,
        0.0319602,
        0.031638,
        0.0314994,
        0.0310876,
        0.0309527,
        0.0310119,
        0.0307158,
        0.0310399,
        0.0311397,
        0.0311642,
        0.0312742,
        0.0315871,
        0.0314098,
        0.0314035,
        0.0314071,
        0.0316754,
        0.0318718,
        0.0323603,
        0.0335687,
        0.0341385,
        0.0324155,
        0.0322038,
        0.0321797,
        0.032396,
        0.0331011,
        0.0354623,
        0.0361723,
        0.0332189,
        0.0330659,
        0.0333367,
        0.033372,
        0.0342288,
        0.0342867,
        0.0387545,
        0.0404963,
        0.0346353,
        0.0346133,
        0.0349203,
        0.0351145,
        0.0357019,
        0.0360561,
        0.0362415,
        0.0367658,
        0.0370766,
        0.0374552,
        0.0382898,
        0.0381262,
        0.0375716,
        0.0378481,
        0.0378472,
        0.0377923,
        0.0376509,
        0.0370695,
        0.0368814,
        0.0367502,
        0.0363332,
        0.0358351,
        0.0357144,
        0.0360352,
        0.0357725,
        0.0353491,
        0.0351352,
        0.0346612,
        0.0352499,
        0.0350934,
        0.0350455,
        0.0353492,
        0.0355291,
        0.0357067,
        0.0362001,
        0.0368835,
        0.0367989,
        0.0365543,
        0.0367407,
        0.0371818,
        0.0370546,
        0.0371257,
        0.037276,
        0.0375205,
        0.037354,
        0.0376843,
        0.0376931,
        0.0441572,
        0.0440752,
        0.0378302,
        0.0383519,
        0.0385882,
        0.0385564,
        0.0385049,
        0.0384643,
        0.0388303,
        0.039691,
        0.0407174,
        0.0409847,
        0.0415675,
        0.0419303,
        0.0423387,
        0.0423022,
        0.042814,
        0.0426903,
        0.0431977,
        0.0435207,
        0.0441212,
        0.0442822,
        0.0432265,
        0.0428923,
        0.0443087,
        0.0445476,
        0.0439472,
        0.044422,
        0.0445753,
        0.0457039,
        0.0467631,
        0.0472053,
        0.0477676,
        0.0477551,
        0.0473789,
        0.048713,
        0.0484865,
        0.045986,
        0.0456233,
        0.0448224,
        0.0455116,
        0.045512,
        0.0440382,
        0.0436933,
        0.0441394,
        0.0438747,
        0.0437023,
        0.0426364,
        0.0429111,
        0.0432339,
        0.043049,
        0.0428771,
        0.0428673,
        0.0430934,
        0.0435409,
        0.0435869,
        0.0441068,
        0.0447973,
        0.0445718,
        0.044386,
        0.0444363,
        0.0447431,
        0.0449074,
        0.0449434,
        0.045145,
        0.0452549,
        0.0476026,
        0.0477909,
        0.046071,
        0.0475279,
        0.0484747,
        0.0470687,
        0.0469454,
        0.0484058,
        0.0491258,
        0.0489001,
        0.0496127,
        0.0497278,
        0.048966,
        0.0487864,
        0.0498823,
        0.0500357,
        0.0506414,
        0.0517823,
        0.0519668,
        0.0519617,
        0.0520586,
        0.0527401,
        0.053242,
        0.0535167,
        0.0537443,
        0.0538934,
        0.053581,
        0.0541101,
        0.0542678,
        0.0550324,
        0.0557916,
        0.0561946,
        0.064776,
        0.0694557,
        0.0575357,
        0.0570298,
        0.0573447,
        0.0576845,
        0.0582504,
        0.0584646,
        0.0592716,
        0.0603254,
        0.0601463,
        0.0598972,
        0.0602944,
        0.0611403,
        0.0620514,
        0.0620943,
        0.0629014,
        0.0642034,
        0.0656141,
        0.0667823,
        0.066826,
        0.0676219,
        0.0692316,
        0.071238,
        0.072236,
        0.0724446,
        0.0721749,
        0.0720321,
        0.0711692,
        0.0718901,
        0.0736956,
        0.0732979,
        0.0732249,
        0.0728715,
        0.0725475,
        0.0731191,
        0.074667,
        0.0914391,
        0.0922406,
        0.0779317,
        0.0788276,
        0.0803266,
        0.0813854,
        0.0826118,
        0.0829295,
        0.0840477,
        0.0855327,
        0.086267,
        0.0872568,
        0.0881158,
        0.0906978,
        0.10542,
        0.110145,
        0.0974964,
        0.0987468,
        0.100779,
        0.101392,
        0.100459,
        0.105101,
        0.108125,
        0.108551,
        0.113698,
        0.113645,
        0.116503,
        0.139904,
        0.132379,
        0.123453,
        0.12459,
        0.132701,
        0.140315,
        0.146241,
        0.154569,
        0.165205,
        0.173656,
        0.18496,
        0.188067,
        0.193603,
        0.183563,
        0.172899,
        0.167577,
        0.169262,
        0.170505,
        0.172232,
        0.179591,
        0.186125,
        0.188854,
        null,
        0.190202,
        0.190259,
        0.179366,
        0.167705,
        0.162658,
        0.160897,
        0.160985,
        0.157951,
        0.157417,
        0.151853,
        0.14736,
        0.139245,
        0.13763,
        0.135062,
        0.132032,
        0.13114,
        0.128024,
        0.125962,
        0.122817,
        0.120282,
        0.1203,
        0.119674,
        0.117176,
        0.116578,
        0.114775,
        0.111199,
        0.1079,
        0.108621,
        0.107718,
        0.106036,
        0.105946,
        0.105401,
        0.102543,
        0.101237,
        0.0996321,
        0.0988762,
        0.0970069,
        0.0952745,
        0.0939052,
        0.0927791,
        0.106295,
        0.0985295,
        0.0900053,
        0.088885,
        0.0877102,
        0.0880207,
        0.0864031,
        0.0869699,
        0.0844703,
        0.0837112,
        0.0836825,
        0.0840658,
        0.0831295,
        0.0823125,
        0.081765,
        0.0804711,
        0.0797297,
        0.0803906,
        0.0801423,
        0.0781208,
        0.0774995,
        0.0764081,
        0.0767343,
        0.0756746,
        0.0752576,
        0.0750077,
        0.0754022,
        0.0756132,
        0.0771379,
        0.0799683,
        0.0813416,
        0.0821445,
        0.0812442,
        0.078545,
        0.0760197,
        0.0735715,
        0.0738325,
        0.0728859,
        0.0728679,
        null,
        0.0370856,
        0.0373118,
        0.0368777,
        0.036881,
        0.036731,
        0.0366605,
        0.0367227,
        0.0365266,
        0.0364685,
        0.0367445,
        0.0367637,
        0.0366202,
        0.0367451,
        0.0369835,
        0.0372072,
        0.0371214,
        0.0373244,
        0.0377863,
        0.0377693,
        0.0376887,
        0.0381016,
        0.0383453,
        0.0387519,
        0.0391815,
        0.0392837,
        0.0396192,
        0.0405614,
        0.0417038,
        0.0423741,
        0.0436622,
        0.0459451,
        0.0483457,
        0.0492146,
        0.0501294,
        0.0500936,
        0.0490178,
        0.0480462,
        0.0476305,
        0.0482877,
        0.0493957,
        0.0507574,
        0.0517146,
        0.0531491,
        0.0544566,
        0.0552759,
        0.0558939,
        0.0544472,
        0.052452,
        0.0511551,
        0.0502612,
        0.0495808,
        0.0486196,
        0.0479722,
        0.0483293,
        0.048492,
        0.048375,
        0.0486617,
        0.0488151,
        0.0488742,
        0.0492717,
        0.0537818,
        0.0540641,
        0.0496477,
        0.0501655,
        0.0514215,
        0.0521427,
        0.0522959,
        0.0522425,
        0.0526514,
        0.0542257,
        0.0552851,
        0.0558535,
        0.0558507,
        0.0564281,
        0.0577683,
        0.0589656,
        0.0599258,
        0.0605606,
        0.0625635,
        0.0638215,
        0.0652463,
        0.0670364,
        0.0684047,
        0.0703626,
        0.072053,
        0.074016,
        0.0768905,
        0.0794948,
        0.081379,
        0.0844549,
        0.0887852,
        0.0929319,
        0.0962103,
        0.0990663,
        0.106096,
        0.114191,
        0.121309,
        0.126643,
        0.135947,
        0.147128,
        0.162882,
        0.177347,
        0.19431,
        0.20708,
        0.193344,
        0.16896,
        0.151926,
        0.144296,
        0.137324,
        0.128785,
        0.119887,
        0.11253,
        0.106969,
        0.10478,
        0.0988742,
        0.0943785,
        0.0921062,
        0.0901179,
        0.0863182,
        0.0833917,
        0.081116,
        0.0785953,
        0.0766341,
        0.0752688,
        0.0730138,
        0.0715855,
        0.0716271,
        0.0719679,
        0.0701413,
        0.0716586,
        0.0705716,
        0.0678871,
        0.0672804,
        0.0667455,
        0.0648203,
        0.0628825,
        0.0603941,
        0.0584625,
        0.0563474,
        0.0544094,
        0.0533814,
        0.0527191,
        0.0510524,
        0.0498228,
        0.0488773,
        0.0478067,
        0.0474454,
        0.0466656,
        0.0456344,
        0.0444796,
        0.0441276,
        0.0434636,
        0.0432115,
        0.0431006,
        0.0426888,
        0.0423988,
        0.042138,
        0.0417161,
        0.0417714,
        0.0415933,
        0.0415632,
        0.0421195,
        0.0425256,
        0.0429045,
        0.043931,
        0.045427,
        0.0471574,
        0.047906,
        0.0474082,
        0.0461442,
        0.0441866,
        0.0424838,
        0.041298,
        0.0402866,
        0.0397026,
        0.0393137,
        0.0387499,
        0.0382158,
        0.0379697,
        0.0375469,
        0.0370076,
        0.0367613,
        0.0366773,
        0.0365483,
        0.0362713,
        0.0360972,
        0.0354926,
        0.0354553,
        0.0353339,
        0.0352287,
        0.0349725,
        0.0348896,
        0.0347669,
        0.0342861,
        0.0339323,
        0.0338234,
        0.0338541,
        0.0337435,
        0.0335707,
        0.0334386,
        0.0331036,
        0.0327704,
        0.0328304,
        0.0327109,
        0.0324577,
        0.0326967,
        0.0324987,
        0.0319695,
        0.0367751,
        0.0369114,
        0.0320738,
        0.0316903,
        0.0315575,
        0.0314037,
        0.031278,
        0.0312534,
        0.0311382,
        0.0313925,
        0.03762,
        0.0374811,
        0.0313126,
        0.0311108,
        0.031176,
        0.0313926,
        0.0312891,
        0.0312725,
        0.0313614,
        0.0312813,
        0.0313208,
        0.0314029,
        0.0313692,
        0.0318207,
        0.0318668,
        0.0318683,
        0.0320027,
        0.0320068,
        0.0322483,
        0.0339899,
        0.0346468,
        0.0327664,
        0.0332724,
        0.033734,
        0.0341547,
        0.0346493,
        0.0357775,
        0.0363773,
        0.0363628,
        0.0372175,
        0.038473,
        0.0395457,
        0.0494899,
        0.052061,
        0.0448598,
        0.0469058,
        0.0490534,
        0.0503556,
        0.0515711,
        0.0517441,
        0.0504097,
        0.048934,
        0.0469234,
        0.0446926,
        0.0425169,
        0.0402591,
        0.0382484,
        0.0365981,
        0.0355113,
        0.0346048,
        0.0334702,
        0.0328632,
        0.0320512,
        0.0315102,
        0.031294,
        0.0308222,
        0.0305203,
        0.0301667,
        0.0301377,
        0.0299052,
        0.0297201,
        0.029659,
        0.0296192,
        0.0295004,
        0.0307557,
        0.0322046,
        0.0298386,
        0.0288294,
        0.0289733,
        0.028704,
        0.0289148,
        0.0289607,
        0.0290227,
        0.0289014,
        0.0287466,
        0.0289275,
        0.0289575,
        0.0287716,
        0.0288254,
        0.0290013,
        0.0290658,
        0.0290273,
        0.0292403,
        0.0289488,
        0.0290709,
        0.0291022,
        0.0289207,
        0.0288037,
        0.0289061,
        0.0289016,
        0.0287864,
        0.0287821,
        0.0288604,
        0.0289921,
        0.0286881,
        0.0286649,
        0.0286979,
        0.0285673,
        0.0284994,
        0.0286411,
        0.0286927,
        0.0295992,
        0.0304943,
        0.0300132,
        0.0283435,
        0.0281751,
        0.0279513,
        0.0279837,
        0.0278693,
        0.0279171,
        0.0277929,
        0.0278886,
        0.0277713,
        0.027687,
        0.0275686,
        0.0274406,
        0.0276423,
        0.0275087,
        0.0273578,
        0.0274188,
        0.0273256,
        0.0274052,
        0.0272345,
        0.0272473,
        0.0274699,
        0.0275698,
        0.0277063,
        0.0281334,
        0.0308201,
        0.0293223,
        0.0286748,
        0.0286423,
        0.0287363,
        0.0292777,
        0.0300526,
        0.0310807,
        0.0324114,
        0.0339636,
        0.0349284,
        0.0360866,
        0.0362861,
        0.0347043,
        0.0330376,
        0.0319347,
        0.0313443,
        0.0307756,
        0.0302157,
        0.0297355,
        0.0291828,
        0.0290601,
        0.0338611,
        0.0326366,
        0.0288498,
        0.0288678,
        0.029033,
        0.0284985,
        0.0283655,
        0.0287785,
        0.028459,
        0.0283353,
        0.0282154,
        0.0283689,
        0.0285191,
        0.0282866,
        0.0280291,
        0.0278748,
        0.0279934,
        0.0279452,
        0.0280076,
        0.0277326,
        0.0276622,
        0.0276894,
        0.0276494,
        0.0276174,
        0.0275484,
        0.0274414,
        0.0275218,
        0.0274969,
        0.0272924,
        0.0275363,
        0.0273799,
        0.0273115,
        0.0272227,
        0.0272843,
        0.0273047,
        0.0273223,
        0.0272604,
        0.0275142,
        0.0287361,
        0.0286778,
        0.0329238,
        0.0330335,
        0.0275444,
        0.0277058,
        0.0277915,
        0.0292786,
        0.0293501,
        0.0280861,
        0.0281398,
        0.0284214,
        0.0287744,
        0.0285589,
        0.0286263,
        0.0286412,
        0.0287357,
        0.0287613,
        0.0288406,
        0.0303704,
        0.0292795,
        0.0290588,
        0.0290219,
        0.0292434,
        0.0294231,
        0.0294484,
        0.0295259,
        0.0297131,
        0.0298172,
        0.0297369,
        0.0298987,
        0.0302587,
        0.0304598,
        0.0301734,
        0.0300507,
        0.0300182,
        0.0307932,
        0.0321051,
        0.03052,
        0.0302635,
        0.0300392,
        0.0302131,
        0.0300457,
        0.0298786,
        0.0298021,
        0.0300867,
        0.0304645,
        0.0306375,
        0.0307755,
        0.0307982,
        0.0319556,
        0.03219,
        0.0311338,
        0.0313891,
        0.031585,
        0.0321305,
        0.0324199,
        0.0328653,
        0.0334131,
        0.0341955,
        0.0347343,
        0.0350698,
        0.0361681,
        0.0375349,
        0.0382463,
        0.0394425,
        0.041296,
        0.042991,
        0.0446225,
        0.0474419,
        0.0506603,
        0.0546247,
        0.0596397,
        0.0653475,
        0.075023,
        0.0881308,
        0.0984987,
        0.119752,
        0.149743,
        0.185484,
        0.185346,
        0.148589,
        0.120375,
        0.0990178,
        0.0845867,
        0.074469,
        0.0669923,
        0.0660508,
        0.0609053,
        0.0528446,
        0.049435,
        0.0464854,
        0.0449377,
        0.0431588,
        0.0416906,
        0.0407894,
        0.0393343,
        0.0378957,
        0.0372235,
        0.0365397,
        0.0360381,
        0.0354004,
        0.0350096,
        0.0348309,
        0.0346462,
        0.0338443,
        0.0332553,
        0.0329404,
        0.0328937,
        0.0325933,
        0.032433,
        0.0326707,
        0.0321512,
        0.032022,
        0.0319329,
        0.031882,
        0.0316694,
        0.0316177,
        0.0322127,
        0.0323443,
        0.0315832,
        0.0317206,
        0.033379,
        0.0335883,
        0.0322116,
        0.0331105,
        0.0331787,
        0.034085,
        0.0340408,
        0.0346154,
        0.0354961,
        0.0368789,
        0.037907,
        0.0446426,
        0.0467245,
        0.0448004,
        0.0469604,
        0.0457662,
        0.0448613,
        0.0442793,
        0.0439322,
        0.0446168,
        0.0451775,
        0.0471819,
        0.0493724,
        0.0518667,
        0.0569778,
        0.0630902,
        0.0708057,
        0.0800259,
        0.0886298,
        0.0955135,
        0.0967227,
        0.0925958,
        0.0883439,
        0.0760775,
        0.065552,
        0.059532,
        0.0535232,
        0.0493759,
        0.0462988,
        0.0436305,
        0.0416626,
        0.0400016,
        0.0391703,
        0.0383267,
        0.0376998,
        0.0373027,
        0.036691,
        0.036139,
        0.0364583,
        0.0366063,
        0.0362401,
        0.0363375,
        0.036763,
        0.0367518,
        0.0371113,
        0.0377052,
        0.0371476,
        0.0372178,
        0.0376919,
        0.0374964,
        0.0367478,
        0.0363402,
        0.035964,
        0.0360075,
        0.0360363,
        0.0358518,
        0.0356628,
        0.0360348,
        0.036528,
        0.0369051,
        0.0372982,
        0.0377946,
        0.0386044,
        0.0403873,
        0.042574,
        0.0444422,
        0.0461305,
        0.0464683,
        0.0461151,
        0.0453022,
        0.0443114,
        0.0446147,
        0.0477029,
        0.049399,
        0.048414,
        0.0496351,
        0.0503537,
        0.0493853,
        0.0476987,
        0.0472689,
        0.0474778,
        0.0480147,
        0.0487322,
        0.0502514,
        0.0515507,
        0.0521819,
        0.0532515,
        0.0549893,
        0.0568097,
        0.0581982,
        0.0595361,
        0.0625583,
        0.0656007,
        0.0682493,
        0.0718675,
        0.0740429,
        0.0791598,
        0.0858441,
        0.0944441,
        0.104545,
        0.114407,
        0.123699,
        0.170047,
        0.199132,
        0.212448,
        0.184616,
        0.159562,
        0.137693,
        0.123993,
        0.113619,
        0.103098,
        0.0933348,
        0.0859817,
        0.0818689,
        0.0772823,
        0.0730131,
        0.0700699,
        0.0672598,
        0.0645778,
        0.063077,
        0.0604264,
        0.0590602,
        0.0580758,
        0.0568505,
        0.0559283,
        0.0541183,
        0.0542724,
        0.0527841,
        0.0514688,
        0.0513494,
        0.0543862,
        0.0539234,
        0.0502694,
        0.0495802,
        0.0493522,
        0.0491242,
        0.0548186,
        0.050599,
        0.0475263,
        0.0482488,
        0.0547611,
        0.0509223,
        0.0485616,
        0.0489497,
        0.0490217,
        0.0494529,
        0.0502146,
        0.0509382,
        0.0523414,
        0.0561276,
        0.0567453,
        0.0584308,
        0.0604723,
        0.0625068,
        0.0658125,
        0.0663324,
        0.0638011,
        0.0618982,
        0.0594837,
        0.0575987,
        0.0562605,
        0.0557087,
        0.0547766,
        0.0540514,
        0.0577463,
        0.0632877,
        0.0596323,
        0.0555809,
        0.0555102,
        0.055388,
        0.0562072,
        0.0565653,
        0.0575773,
        0.0602011,
        0.0628191,
        0.0646275,
        0.0661645,
        0.0682689,
        0.0696346,
        0.0721318,
        0.0723438,
        0.0726992,
        0.0720741,
        0.0710771,
        0.0708727,
        0.0718348,
        0.0727622,
        0.0747594,
        0.0770386,
        0.0762879,
        0.0791241,
        0.0820607,
        0.0883939,
        0.0901723,
        0.0886157,
        0.090255,
        0.0928108,
        0.0986827,
        0.104547,
        0.108208,
        0.113844,
        0.116401,
        0.118912,
        0.124774,
        0.134457,
        0.139774,
        0.163882,
        0.181685,
        0.179991,
        0.195147,
        null,
        0.164133,
        0.15435,
        0.143541,
        0.13385,
        0.12917,
        0.124197,
        0.115861,
        0.10737,
        0.10213,
        0.0996755,
        0.0961833,
        0.0915076,
        0.0876418,
        0.0838821,
        0.0812104,
        0.0799522,
        0.0773319,
        0.0757762,
        0.074309,
        0.0717849,
        0.0704765,
        0.0693703,
        0.0745348,
        0.0725957,
        0.0643847,
        0.0641037,
        0.062448,
        0.0609024,
        0.0611406,
        0.0606341,
        0.0597487,
        0.0593816,
        0.0582228,
        0.0578914,
        0.057447,
        0.0574969,
        0.0572288,
        0.0569563,
        0.0556943,
        0.0543058,
        0.0537048,
        0.0525011,
        0.0508128,
        0.0614103,
        0.0609145,
        0.0491422,
        0.0479425,
        0.0466751,
        0.0460302,
        0.0459081,
        0.0450758,
        0.0441885,
        0.0434924,
        0.0430787,
        0.0427216,
        0.0419621,
        0.0415255,
        0.0412149,
        0.0410568,
        0.040189,
        0.0396289,
        0.0400025,
        0.0392833,
        0.0396343,
        0.0388997,
        0.0380685,
        0.0380398,
        0.0380379,
        0.0378362,
        0.0374061,
        0.0370587,
        0.0365468,
        0.0366119,
        0.0382118,
        0.0375933,
        0.0359634,
        0.0357855,
        0.0356187,
        0.0352992,
        0.0354054,
        0.0356189,
        0.0356233,
        0.0354517,
        0.0361425,
        0.0366711,
        0.0353149,
        0.0350862,
        0.0353714,
        0.0350659,
        0.0348251,
        0.0350906,
        0.0358193,
        0.0359825,
        0.0365324,
        0.0374317,
        0.0386767,
        0.0400981,
        0.0407225,
        0.0404122,
        0.0399435,
        0.0389362,
        0.0380665,
        0.0367111,
        0.0361555,
        0.0354877,
        0.0368307,
        0.0372601,
        0.0339414,
        0.0338674,
        0.0338951,
        0.033622,
        0.0333161,
        0.0331953,
        0.0328194,
        0.0325799,
        0.0325185,
        0.0322501,
        0.0319013,
        0.0318956,
        0.0315467,
        0.0318203,
        0.035208,
        0.0344393,
        0.0313732,
        0.0315483,
        0.0311065,
        0.0311954,
        0.0316063,
        0.031533,
        0.0307257,
        0.0305762,
        0.0307934,
        0.0307904,
        0.0301898,
        0.0300963,
        0.0299632,
        0.0300298,
        0.0304695,
        0.0302927,
        0.0298188,
        0.0299245,
        0.0298541,
        0.0297705,
        0.0296791,
        0.0297649,
        0.029667,
        0.0297924,
        0.0295274,
        0.0298109,
        0.029594,
        0.0295329,
        0.0296204,
        0.0296769,
        0.0300996,
        0.030046,
        0.0298545,
        0.0347597,
        0.0343384,
        0.0296038,
        0.029537,
        0.0295193,
        0.0296127,
        0.0295694,
        0.0297711,
        0.0301367,
        0.03031,
        0.0300247,
        0.0299206,
        0.0302777,
        0.0302854,
        0.0303334,
        0.0301053,
        0.0303276,
        0.0306283,
        0.0304673,
        0.0303245,
        0.0300242,
        0.0299088,
        0.0299033,
        0.0297333,
        0.0296866,
        0.0296882,
        0.0296776,
        0.0298097,
        0.0293854,
        0.0291266,
        0.028907,
        0.0290036,
        0.0289424,
        0.0294524,
        0.0323046,
        0.0316347,
        0.0289403,
        0.0286278,
        0.0284787,
        0.0284339,
        0.0303765,
        0.029831,
        0.0286372,
        0.0289115,
        0.0286178,
        0.0284825,
        0.0282277,
        0.0279577,
        0.0277771,
        0.0279287,
        0.0277733,
        0.0277901,
        0.027561,
        0.0277397,
        0.0278945,
        0.0282592,
        0.0283742,
        0.031126,
        0.0309707,
        0.0277864,
        0.0276121,
        0.0276469,
        0.0279794,
        0.0320408,
        0.0318229,
        0.0281968,
        0.0278678,
        0.0277233,
        0.0282029,
        0.0337289,
        0.0335989,
        0.02802,
        0.0280564,
        0.0283616,
        0.0298162,
        0.0305936,
        0.0288477,
        0.028707,
        0.0286484,
        0.028829,
        0.0297885,
        0.0301151,
        0.028885,
        0.028686,
        0.0287257,
        0.0290408,
        0.0291773,
        0.0294543,
        0.029147,
        0.0294209,
        0.0291895,
        0.0290715,
        0.0287909,
        0.0288457,
        0.0288606,
        0.0287753,
        0.0289083,
        0.029109,
        0.0290366,
        0.0287912,
        0.0288764,
        0.0288892,
        0.028565,
        0.0285755,
        0.0286066,
        0.028532,
        0.0282034,
        0.0306573,
        0.0306288,
        0.0281038,
        0.0280316,
        0.0282753,
        0.0282501,
        0.0286612,
        0.0284623,
        0.0281946,
        0.0281214,
        0.0282855,
        0.0282383,
        0.0281378,
        0.0281827,
        0.0280977,
        0.0282151,
        0.0281906,
        0.0281625,
        0.0284948,
        0.0284415,
        0.0284329,
        0.0285402,
        0.0286789,
        0.0288023,
        0.0291775,
        0.0295465,
        0.0298313,
        0.0296334,
        0.0297445,
        0.0301826,
        0.0308245,
        0.0308029,
        0.035064,
        0.0356751,
        0.0324714,
        0.0338121,
        0.0344581,
        0.0346508,
        0.0341387,
        0.0333256,
        0.0329104,
        0.0321784,
        0.0314765,
        0.0313238,
        0.0317309,
        0.0324771,
        0.0314614,
        0.0361006,
        0.0357514,
        0.0321496,
        0.032288,
        0.0313737,
        0.031364,
        0.0312331,
        0.03113,
        0.0311646,
        0.0308258,
        0.031102,
        0.0306781,
        0.0304644,
        0.0302651,
        0.0297932,
        0.0299594,
        0.0298114,
        0.0296904,
        0.0294234,
        0.0293988,
        0.0295789,
        0.0294545,
        0.0294263,
        0.029304,
        0.0291846,
        0.0292351,
        0.0315566,
        0.0300764,
        0.0289384,
        0.0291052,
        0.0292009,
        0.0292776,
        0.028825,
        0.0287997,
        0.0287733,
        0.0287972,
        0.029004,
        0.0290097,
        0.0288777,
        0.0309862,
        0.0329024,
        0.0308651,
        0.0292223,
        0.0290868,
        0.0290034,
        0.0294346,
        0.0296041,
        0.0294401,
        0.0296456,
        0.0294851,
        0.0296205,
        0.0297571,
        0.0298896,
        0.0302243,
        0.0302512,
        0.0301585,
        0.0302524,
        0.0302676,
        0.0303624,
        0.0303429,
        0.0302971,
        0.030381,
        0.031167,
        0.0352907,
        0.034504,
        0.0309457,
        0.0310504,
        0.0307533,
        0.0338392,
        0.0343855,
        0.0308412,
        0.0305132,
        0.0305738,
        0.0306914,
        0.0311383,
        0.0312108,
        0.030563,
        0.0303188,
        0.0306712,
        0.0308083,
        0.0308183,
        0.0306963,
        0.0305292,
        0.0304894,
        0.0307448,
        0.0310124,
        0.0309297,
        0.031061,
        0.0310766,
        0.0313447,
        0.0309016,
        0.0309658,
        0.0308062,
        0.0312617,
        0.0313289,
        0.032252,
        0.0319212,
        0.031314,
        0.0317547,
        0.0322908,
        0.0323593,
        0.0324887,
        0.0327577,
        0.0325896,
        0.0324835,
        0.0331872,
        0.0332518,
        0.0331521,
        0.0334803,
        0.0340924,
        0.0345712,
        0.0345686,
        0.0345957,
        0.0350178,
        0.0358226,
        0.0374377,
        0.0385491,
        0.0377439,
        0.0388201,
        0.0397599,
        0.0405804,
        0.0412835,
        0.0427383,
        0.0437986,
        0.044791,
        0.0466868,
        0.0488756,
        0.0515457,
        0.0595458,
        0.0639096,
        0.0640431,
        0.069805,
        0.0745702,
        0.0831847,
        0.0950362,
        0.110126,
        0.123435,
        0.137671,
        0.152074,
        0.15986,
        0.16371,
        0.154476,
        0.137055,
        0.12238,
        0.108745,
        0.0956537,
        0.0850277,
        0.0762078,
        0.0691926,
        0.0635645,
        0.058708,
        0.0560348,
        0.0623509,
        0.0585927,
        0.0480341,
        0.0458691,
        0.0438235,
        0.0424241,
        0.0446647,
        0.04419,
        0.0397292,
        0.0388984,
        0.0386906,
        0.0382579,
        0.0373342,
        0.0371757,
        0.0373109,
        0.0369402,
        0.0359919,
        0.0361123,
        0.0356804,
        0.0355748,
        0.0357047,
        0.0356534,
        0.0351355,
        0.0347436,
        0.0348879,
        0.0345361,
        0.0343833,
        0.0343835,
        0.0348089,
        0.0351417,
        0.037551,
        0.0375997,
        0.0346501,
        0.0349239,
        0.0348652,
        0.03453,
        0.0349346,
        0.0356671,
        0.0362132,
        0.0363899,
        0.0362227,
        0.037037,
        0.0377965,
        0.0380319,
        0.0389569,
        0.038789,
        0.0372398,
        0.0365356,
        0.0367129,
        0.0360487,
        0.0358337,
        0.0358682,
        0.0353404,
        0.0357277,
        0.035295,
        0.0349696,
        0.0355247,
        0.035796,
        0.0355932,
        0.0352364,
        0.0353488,
        0.0360508,
        0.0356482,
        0.0354677,
        0.0351866,
        0.0352007,
        0.0350275,
        0.0353337,
        0.035646,
        0.0356536,
        0.0361021,
        0.035804,
        0.0356744,
        0.0355602,
        0.03593,
        0.0363257,
        0.0364358,
        0.0365459,
        0.0362832,
        0.036151,
        0.0357129,
        0.0358408,
        0.0354418,
        0.0357167,
        0.0356399,
        0.0377578,
        0.0387381,
        0.0365685,
        0.0371648,
        0.0369488,
        0.0366603,
        0.0372112,
        0.0374563,
        0.0371827,
        0.0370114,
        0.0369181,
        0.0372222,
        0.0372797,
        0.0376234,
        0.0386229,
        0.0399504,
        0.0408177,
        0.0428346,
        0.0452909,
        0.046882,
        0.048376,
        0.0497854,
        0.0491146,
        0.0463082,
        0.0496456,
        0.056165,
        0.0488782,
        0.0482639,
        0.0487725,
        0.0505695,
        0.0524384,
        0.0548164,
        0.057166,
        0.0594525,
        0.0606608,
        0.0616879,
        0.0611705,
        0.0596459,
        0.0579546,
        0.055746,
        0.0535553,
        0.0512287,
        0.0485319,
        0.0472364,
        0.0463671,
        0.0457382,
        0.0448676,
        0.043635,
        0.042546,
        0.0419683,
        0.0418574,
        0.0411395,
        0.0401237,
        0.0484982,
        0.0481531,
        0.0401057,
        0.0392012,
        0.0385456,
        0.0385137,
        0.0388555,
        0.0388791,
        0.0392854,
        0.0395594,
        0.0387834,
        0.038571,
        0.0382891,
        0.0382683,
        0.038433,
        0.0383703,
        0.0423031,
        0.0425294,
        0.0398751,
        0.0393526,
        0.0398539,
        0.048784,
        0.0490906,
        0.0471534,
        0.0501683,
        0.0394895,
        0.039547,
        0.0396946,
        0.0395969,
        0.0397549,
        0.0399889,
        0.0397068,
        0.0397166,
        0.0398557,
        0.040462,
        0.0424132,
        0.0425476,
        0.0405746,
        0.0406299,
        0.0409386,
        0.041362,
        0.041892,
        0.0497786,
        0.0497127,
        0.0416114,
        0.0420586,
        0.0429713,
        0.0429702,
        0.0434774,
        0.0439625,
        0.0441061,
        0.0446872,
        0.04486,
        0.04506,
        0.0460377,
        0.0463388,
        0.0468207,
        0.047469,
        0.048128,
        0.0486865,
        0.0504143,
        0.0579129,
        0.0600972,
        0.0531336,
        0.0540935,
        0.0556115,
        0.0581428,
        0.0597211,
        0.0608718,
        0.0638421,
        0.066597,
        0.0655551,
        0.0658411,
        0.064997,
        0.0669013,
        0.0686196,
        0.0698381,
        0.0830712,
        0.0895725,
        0.0820666,
        0.082474,
        0.0883959,
        0.0965462,
        0.108623,
        0.120611,
        0.138241,
        0.16621,
        0.201354,
        0.239775,
        0.19299,
        0.155052,
        0.131788,
        0.119283,
        0.106158,
        0.0959586,
        0.0893967,
        0.0838755,
        0.0789988,
        0.0746324,
        0.0716511,
        0.0688248,
        0.0672199,
        0.065493,
        0.0632825,
        0.0620554,
        0.0601053,
        0.0609904,
        0.0591192,
        0.0556536,
        0.0547531,
        0.0551959,
        0.0544121,
        0.0527693,
        0.0515076,
        0.055224,
        0.0541495,
        0.0494208,
        0.050238,
        0.0494886,
        0.0481141,
        0.0473655,
        0.0472916,
        0.0477629,
        0.0475882,
        0.046971,
        0.0466776,
        0.046066,
        0.0455063,
        0.0450523,
        0.0449568,
        0.0449515,
        0.0450205,
        0.0450775,
        0.0446216,
        0.0449779,
        0.0447412,
        0.0444535,
        0.0443409,
        0.0440176,
        0.0442521,
        0.0440089,
        0.0439693,
        0.0437449,
        0.0433956,
        0.0448884,
        0.0450618,
        0.0432419,
        0.0432024,
        0.0425719,
        0.0485186,
        0.0502271,
        0.0431239,
        0.0430569,
        0.043244,
        0.0431111,
        0.043244,
        0.0434522,
        0.0432819,
        0.043244,
        0.0434422,
        0.0439751,
        0.0443736,
        0.0438209,
        0.0441846,
        0.0459877,
        0.0462216,
        0.0439737,
        0.0438348,
        0.0443346,
        0.0446807,
        0.0447475,
        0.047305,
        0.0477921,
        0.0461928,
        0.0461884,
        0.0449234,
        0.045402,
        0.0453986,
        0.0452207,
        0.0454419,
        0.0453746,
        0.0454682,
        0.0454435,
        0.0461061,
        0.0459434,
        0.0455526,
        0.0452285,
        0.0454478,
        0.0457745,
        0.0454907,
        0.045398,
        0.048303,
        0.049835,
        0.0458387,
        0.0458783,
        0.0456503,
        0.0451376,
        0.0527447,
        0.0537266,
        0.0463593,
        0.0459587,
        0.0461091,
        0.0458414,
        0.0460173,
        0.0462129,
        0.054724,
        0.0510076,
        0.0455396,
        0.0543565,
        0.0504556,
        0.0452834,
        0.045168,
        0.0450808,
        0.0452677,
        0.0456611,
        0.0456692,
        0.0540377,
        0.054768,
        0.0461496,
        0.0462812,
        0.0466214,
        0.0463024,
        0.0465077,
        0.0467559,
        0.0469253,
        0.0476094,
        0.048246,
        0.0474415,
        0.0481961,
        0.0485721,
        0.0477563,
        0.0474513,
        0.0478683,
        0.0488954,
        0.0500059,
        0.0490771,
        0.0492042,
        0.0494989,
        0.0498111,
        0.0494059,
        0.0496211,
        0.0506738,
        0.0507157,
        0.0608403,
        0.0586999,
        0.051204,
        0.0516052,
        0.0545943,
        0.0552296,
        0.0521923,
        0.0522949,
        0.0520843,
        0.0523732,
        0.0527374,
        0.052883,
        0.0526253,
        0.0522199,
        0.0529829,
        0.0535793,
        0.0537585,
        0.0538258,
        0.0542375,
        0.0544983,
        0.0539041,
        0.053399,
        0.0539765,
        0.0539828,
        0.053813,
        0.0536745,
        0.0540571,
        0.0543852,
        0.0536581,
        0.0537414,
        0.0536897,
        0.0539616,
        0.0546622,
        0.0552293,
        0.0554138,
        0.0564167,
        0.0544887,
        0.0543755,
        0.0546466,
        0.0548596,
        0.0557638,
        0.0557683,
        0.055987,
        0.0560968,
        0.0555117,
        0.0569961,
        0.0588085,
        0.0572208,
        0.0570851,
        0.0575165,
        0.0590212,
        0.0586496,
        0.0586697,
        0.0591006,
        0.0588413,
        0.0597778,
        0.0598438,
        0.0601893,
        0.0612701,
        0.0612359,
        0.0616717,
        0.0615674,
        0.0619026,
        0.0648105,
        0.0665977,
        0.0638305,
        0.0659274,
        0.0657714,
        0.0650863,
        0.0666908,
        0.0665297,
        0.0693511,
        0.0698955,
        0.0679912,
        0.0682867,
        0.0675118,
        0.0679858,
        0.0693826,
        0.0707519,
        0.0707214,
        0.0707134,
        0.0701425,
        0.0708056,
        0.0713816,
        0.0717302,
        0.0731392,
        0.073741,
        0.0736655,
        0.0740743,
        0.0754275,
        0.07426,
        0.0738747,
        0.074524,
        0.0749115,
        0.0753105,
        0.0763787,
        0.0765631,
        0.0782811,
        0.0779336,
        0.0774594,
        0.0780313,
        0.079326,
        0.0805549,
        0.0801779,
        0.0799106,
        0.0801022,
        0.082088,
        0.0817999,
        0.0825569,
        0.0828949,
        0.0842208,
        0.0857961,
        0.0859406,
        0.0855159,
        0.0876964,
        0.0897793,
        0.0895779,
        0.091473,
        0.0931743,
        0.0948494,
        0.0962224,
        0.099304,
        0.0989612,
        0.0986738,
        0.100607,
        0.101115,
        0.107863,
        0.1141,
        0.104327,
        0.108351,
        0.110821,
        0.113303,
        0.11465,
        0.113292,
        0.116698,
        0.119918,
        0.121325,
        0.123413,
        0.129465,
        0.131685,
        0.130482,
        0.135295,
        0.137805,
        0.140702,
        0.144512,
        0.151671,
        0.155465,
        0.159243,
        0.182863,
        0.170784,
        0.17317,
        0.175729,
        0.196346,
        null,
        0.191717,
        0.186153,
        0.182037,
        0.182268,
        0.168472,
        0.164024,
        0.164045,
        0.167703,
        0.157948,
        0.158358,
        0.160003,
        0.157764,
        0.156919,
        0.150917,
        0.145911,
        0.142408,
        0.142782,
        0.142402,
        0.137545,
        0.13333,
        0.130024,
        0.128019,
        0.125777,
        0.122919,
        0.119514,
        0.122356,
        0.120266,
        0.11467,
        0.113643,
        0.113509,
        0.112987,
        0.110889,
        0.109779,
        0.108904,
        0.108577,
        0.106701,
        0.104079,
        0.103055,
        0.101557,
        0.102343,
        0.101249,
        0.0991932,
        0.0966939,
        0.0966736,
        0.0963638,
        0.0949425,
        0.0946692,
        0.106335,
        0.102296,
        0.0897165,
        0.0888198,
        0.0977633,
        0.0990119,
        0.087823,
        0.0869664,
        0.0860559,
        0.0848765,
        0.0842192,
        0.0839456,
        0.0830089,
        0.0818452,
        0.0816223,
        0.0806057,
        0.0812769,
        0.0814248,
        0.0800306,
        0.0793122,
        0.0787529,
        0.0784837,
        0.0778278,
        0.0802596,
        0.0768987,
        0.0763761,
        0.0777032,
        0.0771013,
        0.0769331,
        0.0762765,
        0.0770569,
        0.0766143,
        0.0749641,
        0.0755204,
        0.0741799,
        0.0735591,
        0.0743916,
        0.0740393,
        0.0730413,
        0.0732535,
        0.0720319,
        0.0712968,
        0.070229,
        0.0709958,
        0.0710561,
        0.070524,
        0.0702863,
        0.070441,
        0.0705267,
        0.0703138,
        0.0708844,
        0.0707517,
        0.0704357,
        0.0704555,
        0.0700315,
        0.0715792,
        0.0723505,
        0.0734828,
        0.0765771,
        0.0802174,
        0.0829281,
        0.0890823,
        0.101062,
        0.114538,
        0.137227,
        0.158932,
        0.180394,
        0.189362,
        0.166632,
        0.137634,
        0.113606,
        0.0986377,
        0.0854065,
        0.0941841,
        0.0878176,
        0.0696576,
        0.0671309,
        0.0645733,
        0.0626882,
        0.0616512,
        0.0608272,
        0.0607901,
        0.0594281,
        0.0589486,
        0.0590022,
        0.0584514,
        0.0583975,
        0.0571305,
        0.0563242,
        0.0554551,
        0.0559826,
        0.0563657,
        0.0558258,
        0.0551301,
        0.0553941,
        0.0555429,
        0.055116,
        0.0549088,
        0.0550222,
        0.0551449,
        0.0546538,
        0.054741,
        0.0544001,
        0.0540629,
        0.0536752,
        0.0537754,
        0.0536607,
        0.053089,
        0.0528192,
        0.0528384,
        0.0519327,
        0.0520602,
        0.0519494,
        0.0518085,
        0.0514675,
        0.0512448,
        0.0543251,
        0.0523135,
        0.0505596,
        0.0502559,
        0.0500688,
        0.0499928,
        0.0493843,
        0.0491866,
        0.0489039,
        0.0486246,
        0.0482196,
        0.0484221,
        0.0484295,
        0.0484949,
        0.0487221,
        0.0483103,
        0.04766,
        0.0474718,
        0.0476051,
        0.0478851,
        0.0476778,
        0.0474721,
        0.0476177,
        0.0474657,
        0.0471807,
        0.0473667,
        0.0476866,
        0.0478223,
        0.047764,
        0.048056,
        0.0489635,
        0.0491666,
        0.0497625,
        0.0507222,
        0.0519307,
        0.0534152,
        0.053816,
        0.0525135,
        0.0511674,
        0.0501468,
        0.0496451,
        0.049211,
        0.0488463,
        0.0485201,
        0.0490374,
        0.0512062,
        0.0495629,
        0.0480992,
        0.04727,
        0.0470658,
        0.047405,
        0.0474404,
        0.047452,
        0.0471182,
        0.0473486,
        0.0468887,
        0.0469906,
        0.0471921,
        0.0473175,
        0.0470681,
        0.0470423,
        0.0469055,
        0.0473261,
        0.0476347,
        0.0476186,
        0.0475728,
        0.0484739,
        0.0496289,
        0.0503011,
        0.049802,
        0.0507789,
        0.0568832,
        0.057962,
        0.0539523,
        0.0553665,
        0.05771,
        0.0603264,
        0.0640985,
        0.0683774,
        0.072854,
        0.0799965,
        0.0884924,
        0.098627,
        0.107354,
        0.112061,
        0.114157,
        0.109904,
        0.101105,
        0.0907347,
        0.0821332,
        0.0757489,
        0.069355,
        0.0659797,
        0.0611878,
        0.0572912,
        0.054237,
        0.0536351,
        0.0518959,
        0.0503685,
        0.0492267,
        0.048704,
        0.0479729,
        0.0473952,
        0.0468232,
        0.0473213,
        0.0459065,
        0.04491,
        0.0448381,
        0.045177,
        0.0447664,
        0.0444481,
        0.0445365,
        0.0439197,
        0.0436288,
        0.0436376,
        0.0441809,
        0.0490274,
        0.046506,
        0.0440578,
        0.0439615,
        0.0435953,
        0.0437242,
        0.0437341,
        0.0444263,
        0.0449818,
        0.0446988,
        0.0448509,
        0.0455945,
        0.0461483,
        0.0469933,
        0.0484461,
        0.0490201,
        0.0504361,
        0.0513332,
        0.0524653,
        0.0534068,
        0.0542467,
        0.0525638,
        0.0510224,
        0.0491208,
        0.047897,
        0.0456786,
        0.0445057,
        0.044197,
        0.0427706,
        0.041478,
        0.0408878,
        0.0403898,
        0.0396477,
        0.0392185,
        0.0391729,
        0.039447,
        0.039022,
        0.0384384,
        0.038384,
        0.0380623,
        0.0381881,
        0.0424334,
        0.0426109,
        0.0383143,
        0.0380488,
        0.0380465,
        0.0380659,
        0.0383551,
        0.0383491,
        0.0379054,
        0.0379675,
        0.0377767,
        0.0379974,
        0.0381982,
        0.0411191,
        0.0427351,
        0.0399073,
        0.0399613,
        0.0382869,
        0.0377812,
        0.0378087,
        0.0380945,
        0.0379726,
        0.0378012,
        0.0374591,
        0.0375847,
        0.0407137,
        0.0406731,
        0.0374054,
        0.0374201,
        0.0370392,
        0.0366547,
        0.0368163,
        0.0364346,
        0.0363817,
        0.0364739,
        0.0369901,
        0.0368293,
        0.036887,
        0.0365737,
        0.0364364,
        0.036505,
        0.036175,
        0.0360231,
        0.0360504,
        0.0365637,
        0.0369179,
        0.0365853,
        0.0367958,
        0.0367495,
        0.0370072,
        0.0373687,
        0.037089,
        0.0367819,
        0.0376322,
        0.0382016,
        0.0425903,
        0.0428168,
        0.0390189,
        0.0396599,
        0.0409012,
        0.0422,
        0.0438989,
        0.0460799,
        0.0496908,
        0.0560296,
        0.0654069,
        0.0821003,
        0.106186,
        0.142525,
        0.17089,
        0.171899,
        0.142825,
        0.108259,
        0.0836288,
        0.066918,
        0.0565612,
        0.0550135,
        0.0493929,
        0.046154,
        0.0445538,
        0.0423468,
        0.0412281,
        0.0407224,
        0.0399206,
        0.0394575,
        0.0392524,
        0.0390519,
        0.0387269,
        0.0385692,
        0.038466,
        0.0384139,
        0.037878,
        0.0379904,
        0.0380634,
        0.03782,
        0.0377118,
        0.0376545,
        0.0388935,
        0.0376343,
        0.0368493,
        0.0366356,
        0.0366871,
        0.036615,
        0.0368418,
        0.0365957,
        0.0361003,
        0.0360936,
        0.0362437,
        0.0363989,
        0.0364453,
        0.0363149,
        0.0361175,
        0.0363235,
        0.0360055,
        0.0356729,
        0.0359868,
        0.0361547,
        0.0356707,
        0.0359896,
        0.0361932,
        0.0361021,
        0.0362041,
        0.0362438,
        0.0365278,
        0.03664,
        0.0370568,
        0.0369256,
        0.0369388,
        0.0376374,
        0.0377485,
        0.0375656,
        0.0377314,
        0.0380224,
        0.0382417,
        0.0389041,
        0.0392201,
        0.0391859,
        0.0393421,
        0.039655,
        0.0397662,
        0.0407926,
        0.0418704,
        0.0429987,
        0.0441858,
        0.0451283,
        0.0458018,
        0.0476656,
        0.0502776,
        0.0531679,
        0.0570516,
        0.059868,
        0.063616,
        0.0668463,
        0.0707392,
        0.0753944,
        0.078903,
        0.0826732,
        0.085315,
        0.0858778,
        0.0849896,
        0.0826958,
        0.0809791,
        0.0775192,
        0.0745785,
        0.0711549,
        0.067166,
        0.0628361,
        0.0596075,
        0.0570011,
        0.0544168,
        0.0520492,
        0.0510467,
        0.0504961,
        0.0465948,
        0.0463949,
        0.0469534,
        0.0471851,
        0.0480747,
        0.0497372,
        0.0523807,
        0.0548192,
        0.0567068,
        0.0600428,
        0.0625569,
        0.0626376,
        0.0603854,
        0.0581238,
        0.0556873,
        0.053041,
        0.056106,
        0.0514338,
        0.0444758,
        0.0427397,
        0.0411607,
        0.0405039,
        0.0394552,
        0.0384359,
        0.038114,
        0.037973,
        0.037623,
        0.0372426,
        0.0370528,
        0.036603,
        0.0410617,
        0.0410151,
        0.0360657,
        0.0358016,
        0.0357901,
        0.0361362,
        0.0361396,
        0.0358027,
        0.0357086,
        0.0360699,
        0.0363648,
        0.0362383,
        0.0363494,
        0.0360196,
        0.0365868,
        0.0376527,
        0.0362462,
        0.0362919,
        0.0363031,
        0.036238,
        0.0360689,
        0.0359588,
        0.0360935,
        0.0364217,
        0.0366038,
        0.0360963,
        0.0357702,
        0.0404311,
        0.0407594,
        0.0351163,
        0.0345956,
        0.0346998,
        0.0345819,
        0.0340726,
        0.0339461,
        0.0340347,
        0.0340432,
        0.0340824,
        0.0338654,
        0.0337145,
        0.0338461,
        0.033677,
        0.0340542,
        0.0340331,
        0.0340854,
        0.0338286,
        0.0338475,
        0.03392,
        0.0343637,
        0.0347926,
        0.035367,
        0.035807,
        0.0367974,
        0.0375998,
        0.0385581,
        0.0397371,
        0.0421899,
        0.0432573,
        0.0430132,
        0.0414073,
        0.0397081,
        0.0388911,
        0.0380782,
        0.0372349,
        0.0362304,
        0.0357647,
        0.0358124,
        0.0354884,
        0.0352462,
        0.0353075,
        0.0354013,
        0.0348095,
        0.0345506,
        0.0347677,
        0.0347354,
        0.0349271,
        0.0350095,
        0.0348695,
        0.0354057,
        0.0356436,
        0.0348706,
        0.0347502,
        0.0346491,
        0.0346491,
        0.0345176,
        0.0341887,
        0.0342158,
        0.0343077,
        0.0343417,
        0.0343695,
        0.0350382,
        0.0354017,
        0.0346518,
        0.034437,
        0.0345103,
        0.0344884,
        0.0346725,
        0.03466,
        0.034485,
        0.0346468,
        0.0343999,
        0.0330626,
        0.0340543,
        0.0336982,
        0.0332028,
        0.0340831,
        0.0335604,
        0.0331478,
        0.0329144,
        0.0326969,
        0.0325464,
        0.0328989,
        0.0330405,
        0.0330063,
        0.0325349,
        0.0324527,
        0.0328093,
        0.0328704,
        0.0330119,
        0.0332918,
        0.0336043,
        0.0337984,
        0.0338106,
        0.0345398,
        0.0348189,
        0.0350155,
        0.0355381,
        0.0354873,
        0.0356819,
        0.035786,
        0.0357688,
        0.0356885,
        0.0352925,
        0.0368368,
        0.0363238,
        0.0346864,
        0.0345309,
        0.0345701,
        0.0342106,
        0.0351927,
        0.0354023,
        0.0349253,
        0.034877,
        0.0348612,
        0.0350929,
        0.0350505,
        0.0347845,
        0.0347244,
        0.034909,
        0.0347221,
        0.0345212,
        0.0349131,
        0.0347343,
        0.0345927,
        0.0344914,
        0.0343685,
        0.0347892,
        0.0350647,
        0.0352712,
        0.0358057,
        0.0358011,
        0.0358481,
        0.0360185,
        0.0357923,
        0.0349436,
        0.0346105,
        0.0341446,
        0.033797,
        0.0339054,
        0.0333892,
        0.0333794,
        0.0337327,
        0.0339783,
        0.0336477,
        0.0338167,
        0.0336772,
        0.0338109,
        0.0337163,
        0.036665,
        0.0358975,
        0.0353667,
        0.0359828,
        0.0369996,
        0.0385875,
        0.0406084,
        0.0447203,
        0.0507605,
        0.0597297,
        0.068167,
        0.0720861,
        0.0698554,
        0.06262,
        0.0550811,
        0.0489744,
        0.0446229,
        0.0415109,
        0.0400589,
        0.0384669,
        0.0375212,
        0.0371,
        0.0362267,
        0.0362791,
        0.0358518,
        0.0357025,
        0.0358112,
        0.0354788,
        0.0354252,
        0.035575,
        0.0352976,
        0.0353963,
        0.0356641,
        0.035438,
        0.0354686,
        0.0357259,
        0.0357721,
        0.0359649,
        0.0362623,
        0.0365761,
        0.0400453,
        0.040251,
        0.0388526,
        0.0390716,
        0.0477449,
        0.0473263,
        0.0389725,
        0.0381886,
        0.037582,
        0.0367603,
        0.0362613,
        0.0360924,
        0.0355585,
        0.0357383,
        0.0356297,
        0.035072,
        0.0347207,
        0.0346611,
        0.0350143,
        0.0354987,
        0.0352854,
        0.035013,
        0.0353137,
        0.035669,
        0.0361428,
        0.0368204,
        0.0370217,
        0.0378978,
        0.0392318,
        0.0411126,
        0.0426376,
        0.0445676,
        0.0475007,
        0.0496687,
        0.0496693,
        0.0485872,
        0.0460974,
        0.0432484,
        0.0417128,
        0.0403577,
        0.0394467,
        0.03928,
        0.0383126,
        0.0377679,
        0.0378157,
        0.0376747,
        0.0375645,
        0.0373815,
        0.0373266,
        0.0372606,
        0.0373089,
        0.0375819,
        0.0378732,
        0.0379453,
        0.0385687,
        0.0397709,
        0.0400264,
        0.0413431,
        0.0426712,
        0.0445142,
        0.0512718,
        0.0522861,
        0.0458014,
        0.0447933,
        0.043257,
        0.0419679,
        0.040401,
        0.0398424,
        0.0397095,
        0.0392083,
        0.0387634,
        0.038563,
        0.0382561,
        0.0382831,
        0.0381891,
        0.0382028,
        0.0380544,
        0.0381282,
        0.0381239,
        0.0382439,
        0.0388031,
        0.0393283,
        0.0404534,
        0.0414288,
        0.0427121,
        0.0445651,
        0.0470289,
        0.0486521,
        0.0489098,
        0.047135,
        0.045472,
        0.0436257,
        0.0423664,
        0.0409903,
        0.0403817,
        0.040005,
        0.0394665,
        0.0394729,
        0.0392294,
        0.0390025,
        0.0435332,
        0.0427149,
        0.0393513,
        0.0418272,
        0.0422556,
        0.0409404,
        0.0421271,
        0.0452125,
        0.0465234,
        0.0472309,
        0.0503653,
        0.0535241,
        0.056225,
        0.0573599,
        0.0559928,
        0.0531389,
        0.0499994,
        0.0485725,
        0.0467021,
        0.0451127,
        0.0447844,
        0.0446544,
        0.0442361,
        0.0455912,
        0.0444534,
        0.0488366,
        0.0493354,
        0.0450588,
        0.0452673,
        0.0463412,
        0.0501871,
        0.051444,
        0.0507625,
        0.0537599,
        0.0576164,
        0.0626565,
        0.0667512,
        0.0670035,
        0.0646411,
        0.0609558,
        0.0576952,
        0.0540051,
        0.0523911,
        0.0503255,
        0.0490439,
        0.0479631,
        0.0480221,
        0.0483262,
        0.048187,
        0.0475054,
        0.0488335,
        0.0490992,
        0.0500688,
        0.0521028,
        0.0549797,
        0.057452,
        0.0618059,
        0.0672176,
        0.0749715,
        0.0794701,
        0.0799121,
        0.0801989,
        0.0743815,
        0.0647136,
        0.0616342,
        0.0592674,
        0.065592,
        0.0649877,
        0.0574135,
        0.0573392,
        0.0571285,
        0.0581724,
        0.0598382,
        0.0661425,
        0.0741745,
        0.0742293,
        0.0715375,
        0.076417,
        0.0832701,
        0.0935104,
        0.102286,
        0.107025,
        0.105319,
        0.0989261,
        0.0902896,
        0.0862135,
        0.0838258,
        0.0817376,
        0.0818123,
        0.0835538,
        0.0832176,
        0.084323,
        0.0890746,
        0.0918801,
        0.0953819,
        0.100837,
        0.107415,
        0.117309,
        0.132064,
        0.149197,
        0.169896,
        0.183921,
        0.181984,
        0.167362,
        0.155767,
        0.154523,
        0.139797,
        0.139167,
        0.141599,
        0.146577,
        0.155603,
        0.168396,
        null,
        0.187063,
        0.179191,
        0.152301,
        0.133754,
        0.120506,
        0.108695,
        0.0960805,
        0.0920864,
        0.0917039,
        0.093521,
        0.096765,
        0.103419,
        0.112825,
        0.118468,
        0.114242,
        0.109953,
        0.104307,
        0.0959341,
        0.087609,
        0.0791668,
        0.0726136,
        0.0678277,
        0.0726969,
        0.0699624,
        0.0597648,
        0.0585336,
        0.0580263,
        0.0575437,
        0.0565413,
        0.0557324,
        0.0556897,
        0.0557943,
        0.0567603,
        0.0584931,
        0.0584174,
        0.0601342,
        0.0633535,
        0.0662121,
        0.0694154,
        0.0727705,
        0.0797162,
        0.0888797,
        0.101881,
        0.116508,
        0.130682,
        0.152543,
        0.218526,
        0.178472,
        0.144725,
        0.121549,
        0.103474,
        0.091011,
        0.082632,
        0.0760872,
        0.0707495,
        0.0666194,
        0.0629324,
        0.058698,
        0.0558872,
        0.0543395,
        0.0534066,
        0.05212,
        0.0513608,
        0.0498502,
        0.0484396,
        0.0478165,
        0.0473008,
        0.0505822,
        0.050079,
        0.0457571,
        0.0448151,
        0.043748,
        0.043495,
        0.043118,
        0.0431051,
        0.0429315,
        0.0426138,
        0.0422866,
        0.042205,
        0.0415792,
        0.041267,
        0.0409562,
        0.0446552,
        0.0427843,
        0.0408343,
        0.0404787,
        0.0397967,
        0.0395606,
        0.0397773,
        0.0394002,
        0.039741,
        0.0397469,
        0.039386,
        0.0388858,
        0.0387114,
        0.0391122,
        0.0394486,
        0.0387751,
        0.0382397,
        0.0385038,
        0.0388866,
        0.0385393,
        0.0387867,
        0.0382854,
        0.0382419,
        0.0382674,
        0.0383502,
        0.038475,
        0.0384258,
        0.0380646,
        0.038576,
        0.039107,
        0.0388421,
        0.0412015,
        0.0411089,
        0.0384763,
        0.0387118,
        0.0388736,
        0.0388232,
        0.0388036,
        0.0389232,
        0.0386521,
        0.038211,
        0.0383155,
        0.0389977,
        0.0387944,
        0.0388864,
        0.0391454,
        0.0432923,
        0.0420387,
        0.0383359,
        0.0382113,
        0.0384887,
        0.0387962,
        0.0389112,
        0.0387107,
        0.038675,
        0.0387989,
        0.0386312,
        0.0384781,
        0.0442111,
        0.0439682,
        0.0387814,
        0.0387384,
        0.0386596,
        0.0385151,
        0.0384423,
        0.0381377,
        0.0383391,
        0.0380497,
        0.0376548,
        0.0379311,
        0.0375115,
        0.0374664,
        0.0381202,
        0.0373558,
        0.0372824,
        0.0373045,
        0.0372236,
        0.0368467,
        0.0368402,
        0.0369169,
        0.0371017,
        0.0378147,
        0.0370352,
        0.0368568,
        0.0368695,
        0.0372913,
        0.0373827,
        0.0374863,
        0.0369328,
        0.0368147,
        0.0369461,
        0.0367474,
        0.0369677,
        0.0373471,
        0.0374788,
        0.0376105,
        0.0375609,
        0.0372222,
        0.0371163,
        0.0382407,
        0.0385197,
        0.0403713,
        0.0394973,
        0.0382747,
        0.0381949,
        0.0391389,
        0.039342,
        0.0392586,
        0.0394009,
        0.0393559,
        0.0397318,
        0.0402977,
        0.0410918,
        0.040883,
        0.0415754,
        0.0431833,
        0.0438646,
        0.0436542,
        0.0435672,
        0.0428057,
        0.0468981,
        0.046399,
        0.0410803,
        0.0412267,
        0.0408114,
        0.0404229,
        0.0406724,
        0.0409475,
        0.0413452,
        0.0412015,
        0.0403335,
        0.0403862,
        0.0408035,
        0.0407708,
        0.0411223,
        0.0410977,
        0.0412847,
        0.0411391,
        0.0415006,
        0.0418247,
        0.0423957,
        0.0428663,
        0.0428287,
        0.0435551,
        0.0457602,
        0.0463489,
        0.0435193,
        0.0433681,
        0.0430971,
        0.0429884,
        0.0418748,
        0.0407118,
        0.0409308,
        0.0411512,
        0.0405853,
        0.0400065,
        0.0391265,
        0.0390247,
        0.0397993,
        0.0399842,
        0.0392815,
        0.038904,
        0.0387795,
        0.0389363,
        0.0397622,
        0.0393176,
        0.0389073,
        0.0385119,
        0.0389124,
        0.0389537,
        0.0386925,
        0.0389267,
        0.0389698,
        0.0389794,
        0.038871,
        0.039857,
        0.0409472,
        0.0394178,
        0.0391108,
        0.0390777,
        0.0392013,
        0.0451205,
        0.0470192,
        0.0408023,
        0.0404816,
        0.0404773,
        0.040377,
        0.0401829,
        0.0399788,
        0.0401991,
        0.0399527,
        0.0400757,
        0.0407018,
        0.0404374,
        0.0401982,
        0.0401888,
        0.0402203,
        0.0405655,
        0.0404341,
        0.0400225,
        0.0403447,
        0.0408094,
        0.0398829,
        0.0399086,
        0.0400244,
        0.0411528,
        0.0435047,
        0.0430026,
        0.0395103,
        0.0397306,
        0.0401879,
        0.039655,
        0.0396355,
        0.0400731,
        0.0413482,
        0.0462845,
        0.045982,
        0.0398965,
        0.0393779,
        0.0396534,
        0.0398366,
        0.0392307,
        0.0389452,
        0.0393834,
        0.0394006,
        0.038953,
        0.0391343,
        0.0386691,
        0.038743,
        0.0385259,
        0.038642,
        0.039339,
        0.0392116,
        0.0388221,
        0.038624,
        0.038768,
        0.0412194,
        0.0409006,
        0.0391706,
        0.0390301,
        0.0391408,
        0.039659,
        0.0399057,
        0.0392685,
        0.0397988,
        0.0399413,
        0.0400898,
        0.040458,
        0.0416538,
        0.0474689,
        0.0491321,
        0.0405859,
        0.0405733,
        0.0407975,
        0.041274,
        0.0410225,
        0.0409594,
        0.0412381,
        0.0410151,
        0.041405,
        0.0421478,
        0.041816,
        0.0414894,
        0.0408107,
        0.042659,
        0.0430734,
        0.0413801,
        0.0412729,
        0.0415677,
        0.0413939,
        0.0414094,
        0.0415432,
        0.0414027,
        0.0416483,
        0.0416454,
        0.0424594,
        0.042585,
        0.0421461,
        0.0424545,
        0.0425035,
        0.0414353,
        0.0409693,
        0.0407417,
        0.040722,
        0.0412213,
        0.0412385,
        0.0407469,
        0.0406331,
        0.040249,
        0.0401462,
        0.0403429,
        0.0404258,
        0.0403369,
        0.0399502,
        0.0406186,
        0.0409472,
        0.0403526,
        0.0415343,
        0.0412519,
        0.040658,
        0.041365,
        0.0405982,
        0.0406958,
        0.0411967,
        0.0415975,
        0.0422478,
        0.0419852,
        0.0453798,
        0.0460215,
        0.0417354,
        0.0425016,
        0.0436848,
        0.0440532,
        0.0492075,
        0.048834,
        0.0447743,
        0.0455938,
        0.046573,
        0.0478447,
        0.0496712,
        0.0528023,
        0.0552474,
        0.0582071,
        0.0603866,
        0.0599386,
        0.0581227,
        0.0555546,
        0.0526131,
        0.050883,
        0.0487564,
        0.0477837,
        0.0472979,
        0.0462015,
        0.0457822,
        0.0454802,
        0.0449092,
        0.0447573,
        0.0446184,
        0.0449282,
        0.044868,
        0.0443525,
        0.0442615,
        0.0443657,
        0.0440946,
        0.043497,
        0.0437797,
        0.0436905,
        0.0435474,
        0.0434114,
        0.0436802,
        0.0435595,
        0.0435259,
        0.0438114,
        0.0433859,
        0.0435338,
        0.0433434,
        0.0491364,
        0.0503983,
        0.0431422,
        0.0425765,
        0.0427956,
        0.0422335,
        0.0424319,
        0.0421785,
        0.0423138,
        0.0421533,
        0.0422987,
        0.0423807,
        0.0424201,
        0.0425527,
        0.0423649,
        0.0422071,
        0.042434,
        0.0429292,
        0.0425923,
        0.0424328,
        0.0422517,
        0.0421086,
        0.0428571,
        0.0429142,
        0.0431767,
        0.0431001,
        0.0427548,
        0.0489126,
        0.0491689,
        0.0431232,
        0.0492407,
        0.0479657,
        0.0440416,
        0.0471661,
        0.0502235,
        0.0450561,
        0.0443914,
        0.0448205,
        0.0454349,
        0.0451265,
        0.044811,
        0.045387,
        0.0451195,
        0.0446001,
        0.0444788,
        0.045023,
        0.0457583,
        0.0457525,
        0.0463857,
        0.0459796,
        0.0455451,
        0.0456934,
        0.0459006,
        0.0462271,
        0.0469275,
        0.0468111,
        0.0458796,
        0.0459778,
        0.0459329,
        0.0458281,
        0.0453247,
        0.0457239,
        0.0458943,
        0.0457578,
        0.0458382,
        0.0453407,
        0.0450415,
        0.0452144,
        0.044579,
        0.0451941,
        0.0458318,
        0.0449274,
        0.0451968,
        0.0449945,
        0.0444366,
        0.0447875,
        0.0462707,
        0.0448269,
        0.0445128,
        0.0460983,
        0.0456969,
        0.0447619,
        0.0448514,
        0.0448353,
        0.0447438,
        0.0447441,
        0.0456133,
        0.0458769,
        0.045399,
        0.0452345,
        0.0449005,
        0.0451771,
        0.0449823,
        0.0451595,
        0.0455928,
        0.0453657,
        0.0455576,
        0.045705,
        0.0460616,
        0.0462113,
        0.0461553,
        0.0461365,
        0.0460455,
        0.0464727,
        0.0465693,
        0.0464737,
        0.0463305,
        0.0468743,
        0.0478358,
        0.047726,
        0.0479136,
        0.0482253,
        0.0477507,
        0.0477889,
        0.0480042,
        0.0481047,
        0.0483356,
        0.0483227,
        0.0486871,
        0.0552181,
        0.0574309,
        0.0534885,
        0.0543297,
        0.0489619,
        0.0494106,
        0.0497723,
        0.04961,
        0.0499068,
        0.049406,
        0.0494194,
        0.04943,
        0.0491585,
        0.0499094,
        0.0497522,
        0.0525293,
        0.0532309,
        0.0503376,
        0.0498245,
        0.0500648,
        0.0500766,
        0.0508363,
        0.0506418,
        0.0504169,
        0.050531,
        0.0506181,
        0.0511094,
        0.051477,
        0.0523205,
        0.0523502,
        0.0525148,
        0.0527788,
        0.0529121,
        0.0533517,
        0.0547568,
        0.0566139,
        0.0571149,
        0.058625,
        0.0610254,
        0.0624296,
        0.0643151,
        0.0675721,
        0.0721513,
        0.077602,
        0.0833277,
        0.0950377,
        0.11283,
        0.117179,
        0.138834,
        0.163419,
        0.18223,
        0.187881,
        0.188856,
        0.188068,
        0.182169,
        0.176045,
        0.165094,
        0.147983,
        0.127545,
        0.110537,
        0.095246,
        0.0856983,
        0.0792551,
        0.0753267,
        0.0714909,
        0.0678927,
        0.0661181,
        0.0641169,
        0.0636828,
        0.0616018,
        0.0610899,
        0.0605163,
        0.060169,
        0.0598145,
        0.0595329,
        0.0591687,
        0.0582151,
        0.0575837,
        0.0572933,
        0.0578921,
        0.0581118,
        0.0575104,
        0.0568763,
        0.0568434,
        0.056664,
        0.0565254,
        0.0563601,
        0.0562223,
        0.0561143,
        0.0559347,
        0.055537,
        0.0568053,
        0.0563408,
        0.0557637,
        0.0559247,
        0.0556022,
        0.0551412,
        0.0553968,
        0.0552088,
        0.0554036,
        0.0560026,
        0.0556479,
        0.0556112,
        0.0560234,
        0.0549434,
        0.0546212,
        0.0548245,
        0.055011,
        0.0549848,
        0.0550845,
        0.0544889,
        0.0544782,
        0.0545892,
        0.0550919,
        0.054402,
        0.0539858,
        0.0541838,
        0.0546387,
        0.0547621,
        0.0548731,
        0.0554042,
        0.0555263,
        0.0558146,
        0.0554776,
        0.0552826,
        0.0556636,
        0.0559507,
        0.055223,
        0.0560944,
        0.0567762,
        0.0578885,
        0.0594868,
        0.0572856,
        0.0574182,
        0.0574951,
        0.0581378,
        0.057463,
        0.0581118,
        0.0582836,
        0.0578837,
        0.0580724,
        0.0581152,
        0.0589656,
        0.059728,
        0.0598814,
        0.0604321,
        0.0592783,
        0.059428,
        0.0601936,
        0.0596086,
        0.0593912,
        0.0599486,
        0.0605495,
        0.0599205,
        0.0595014,
        0.0597754,
        0.0598582,
        0.0598619,
        0.0594832,
        0.060291,
        0.0605149,
        0.0597165,
        0.0602979,
        0.0610706,
        0.061076,
        0.0606162,
        0.0602975,
        0.0605483,
        0.059667,
        0.0602831,
        0.0612644,
        0.0609237,
        0.0609605,
        0.0609547,
        0.0609239,
        0.0623363,
        0.0630085,
        0.0624071,
        0.062546,
        0.0637993,
        0.0636831,
        0.0635714,
        0.0638293,
        0.0660695,
        0.0658236,
        0.0659626,
        0.0677356,
        0.0677692,
        0.0688384,
        0.0701755,
        0.0730336,
        0.0759388,
        0.0772712,
        0.0790838,
        null,
        0.202512,
        0.19477,
        0.187058,
        0.188391,
        0.184688,
        0.182,
        0.185219,
        0.187793,
        0.190673,
        0.214579,
        0.210957,
        0.166471,
        0.16748,
        0.167587,
        0.167795,
        0.16585,
        0.16072,
        0.161244,
        0.159158,
        0.1574,
        0.15681,
        0.153577,
        0.151877,
        0.150631,
        0.153513,
        0.153563,
        0.154056,
        0.149165,
        0.144106,
        0.147011,
        0.147383,
        0.145839,
        0.142715,
        0.153726,
        0.151534,
        0.139912,
        0.140621,
        0.136589,
        0.136095,
        0.135107,
        0.134505,
        0.134558,
        0.133597,
        0.132549,
        0.128912,
        0.130845,
        0.131668,
        0.130531,
        0.12925,
        0.128027,
        0.130111,
        0.128705,
        0.129319,
        0.128191,
        0.131624,
        0.13408,
        0.135311,
        0.136632,
        0.139661,
        0.175478,
        0.191651,
        0.17397,
        0.188432,
        0.203831,
        0.209569,
        0.206955,
        0.180915,
        0.167899,
        0.160678,
        0.149132,
        0.141193,
        0.137599,
        0.134041,
        0.129785,
        0.129362,
        0.146679,
        0.143355,
        0.123056,
        0.123977,
        0.122178,
        0.12048,
        0.12107,
        0.124931,
        0.124217,
        0.120723,
        0.120423,
        0.120712,
        0.119785,
        0.119098,
        0.121271,
        0.121963,
        0.117836,
        0.117886,
        0.11536,
        0.115148,
        0.116807,
        0.117481,
        0.116742,
        0.11592,
        0.11382,
        0.114324,
        0.129072,
        0.130855,
        0.113877,
        0.111976,
        0.114458,
        0.114089,
        0.11447,
        0.113742,
        0.112865,
        0.114585,
        0.113872,
        0.112312,
        0.111982,
        0.112192,
        0.113995,
        0.113717,
        0.113069,
        0.112,
        0.112982,
        0.115065,
        0.114963,
        0.113557,
        0.115294,
        0.116357,
        0.116719,
        0.115939,
        0.119772,
        0.120746,
        0.11866,
        0.121404,
        0.122766,
        0.124809,
        0.127135,
        0.127328,
        0.125868,
        0.128607,
        0.12731,
        0.128681,
        0.128597,
        0.131712,
        0.134073,
        0.134484,
        0.136394,
        0.138063,
        0.143742,
        0.147579,
        0.151282,
        0.159601,
        0.164966,
        0.179953,
        0.196852,
        0.179121,
        0.168281,
        0.16112,
        0.162171,
        0.157598,
        0.154899,
        0.152982,
        0.153766,
        0.153588,
        0.152532,
        0.150743,
        0.153515,
        0.152908,
        0.151639,
        0.150961,
        0.153374,
        0.156783,
        0.157637,
        0.158847,
        0.156983,
        0.159636,
        0.16102,
        0.168203,
        0.166316,
        0.163244,
        0.170501,
        0.179847,
        0.183436,
        0.189865,
        0.193864,
        0.200824,
        0.209647,
        null,
        0.214763,
        0.21614,
        0.212404,
        0.206607,
        0.206292,
        0.204938,
        0.194965,
        0.190826,
        0.190166,
        0.183575,
        0.187322,
        0.189922,
        0.183592,
        0.180208,
        0.176963,
        0.172704,
        0.173431,
        0.169618,
        0.166785,
        0.165116,
        0.162909,
        0.160946,
        0.161307,
        0.163921,
        0.156725,
        0.151271,
        0.15052,
        0.170731,
        0.176339,
        0.150158,
        0.152703,
        0.150428,
        0.146872,
        0.144246,
        0.147169,
        0.147423,
        0.142466,
        0.144931,
        0.144819,
        0.138086,
        0.135438,
        0.136495,
        0.139871,
        0.137758,
        0.134094,
        0.1338,
        0.135906,
        0.13522,
        0.133531,
        0.133305,
        0.139064,
        0.138885,
        0.130163,
        0.130031,
        0.13153,
        0.131909,
        0.135775,
        0.133982,
        0.129102,
        0.12708,
        0.128474,
        0.126133,
        0.124932,
        0.122713,
        0.125512,
        0.131156,
        0.125547,
        0.121501,
        0.123143,
        0.122022,
        0.12025,
        0.119736,
        0.117676,
        0.115387,
        0.113777,
        0.119687,
        0.11926,
        0.115939,
        0.115053,
        0.113315,
        0.112282,
        0.111588,
        0.111692,
        0.110133,
        0.112643,
        0.113173,
        0.10998,
        0.109018,
        0.109822,
        0.108493,
        0.109485,
        0.108969,
        0.107348,
        0.107067,
        0.108311,
        0.11062,
        0.111498,
        0.109659,
        0.107758,
        0.112277,
        0.117238,
        0.121481,
        0.123725,
        0.127077,
        0.130888,
        0.140873,
        0.152501,
        0.173167,
        0.197835,
        0.170014,
        0.149623,
        0.133227,
        0.126727,
        0.12357,
        0.118369,
        0.115738,
        0.111603,
        0.108154,
        0.106097,
        0.10333,
        0.101716,
        0.0989459,
        0.0965955,
        0.0953774,
        0.0950893,
        0.0960966,
        0.0951166,
        0.0952885,
        0.0959394,
        0.0959298,
        0.0938953,
        0.095246,
        0.0977142,
        0.100663,
        0.106389,
        0.117858,
        0.139319,
        0.158601,
        0.159727,
        0.146263,
        0.129972,
        0.120078,
        0.116785,
        0.123104,
        0.143446,
        0.18398,
        0.213097,
        0.159729,
        0.128252,
        0.10779,
        0.0962862,
        0.0909662,
        0.0873862,
        0.085518,
        0.0841458,
        0.0832309,
        0.08294,
        0.0824004,
        0.0815182,
        0.0819016,
        0.0809506,
        0.0808591,
        0.0820316,
        0.0809525,
        0.080741,
        0.0810003,
        0.0793795,
        0.0789776,
        0.0781637,
        0.0776855,
        0.0781451,
        0.0782481,
        0.0772891,
        0.0781792,
        0.0790641,
        0.0787448,
        0.0784011,
        0.0789652,
        0.0789817,
        0.0796054,
        0.0789345,
        0.0786954,
        0.0794192,
        0.0799278,
        0.0805483,
        0.0808284,
        0.0797006,
        0.0788271,
        0.0791393,
        0.0798741,
        0.0793292,
        0.0801189,
        0.0859602,
        0.082538,
        0.078499,
        0.0796876,
        0.079802,
        0.080549,
        0.0791679,
        0.0804195,
        0.0816119,
        0.0808692,
        0.0806087,
        0.0796779,
        0.0802939,
        0.0816577,
        0.0837573,
        0.0859853,
        0.0880146,
        0.0882451,
        0.0917497,
        0.0969794,
        0.101167,
        0.107093,
        0.115545,
        0.128255,
        0.147245,
        0.181749,
        0.209058,
        0.172928,
        0.146791,
        0.123729,
        0.111039,
        0.103961,
        0.0980095,
        0.0930196,
        0.111023,
        0.108517,
        0.0866981,
        0.0842431,
        0.0829913,
        0.080819,
        0.0829275,
        0.0821856,
        0.077101,
        0.0761992,
        0.0766802,
        0.07669,
        0.0775526,
        0.0771052,
        0.076262,
        0.0765326,
        0.0772627,
        0.0778759,
        0.0769005,
        0.074673,
        0.0762035,
        0.0765907,
        0.0750227,
        0.0742917,
        0.0747132,
        0.0739337,
        0.0744541,
        0.0755007,
        0.083021,
        0.0820633,
        0.0743371,
        0.0762536,
        0.0773017,
        0.0781012,
        0.0767314,
        0.0778255,
        0.0787856,
        0.0793643,
        0.0793218,
        0.080788,
        0.081884,
        0.0833227,
        0.0859599,
        0.088885,
        0.0910201,
        0.0918287,
        0.0956096,
        0.102286,
        0.109378,
        0.11823,
        0.133264,
        0.150639,
        0.179275,
        0.209425,
        0.220239,
        0.200051,
        0.182482,
        0.16014,
        0.144551,
        0.129055,
        0.117008,
        0.108063,
        0.102306,
        0.0974351,
        0.0930791,
        0.0887808,
        0.0857473,
        0.0827259,
        0.0824706,
        0.0815292,
        0.0783502,
        0.0778585,
        0.0772336,
        0.0769202,
        0.0749429,
        0.074945,
        0.0759582,
        0.0732042,
        0.0724139,
        0.0715576,
        0.0705636,
        0.0711873,
        0.071559,
        0.0708358,
        0.0699144,
        0.0688716,
        0.0691215,
        0.0680188,
        0.0678578,
        0.0676747,
        0.0671048,
        0.0681488,
        0.068162,
        0.0673299,
        0.0662788,
        0.0676989,
        0.0681227,
        0.0654469,
        0.065579,
        0.0652243,
        0.0639263,
        0.0637407,
        0.0639477,
        0.0642523,
        0.0629877,
        0.0641873,
        0.0654518,
        0.0675669,
        0.0670981,
        0.0643112,
        0.0643486,
        0.0651924,
        0.0649529,
        0.0640909,
        0.0645667,
        0.0646353,
        0.0643181,
        0.0653818,
        0.0656122,
        0.0655586,
        0.0652515,
        0.0661577,
        0.0657512,
        0.0656874,
        0.0664125,
        0.0662665,
        0.0651415,
        0.06544,
        0.06568,
        0.0655647,
        0.0686907,
        0.0690438,
        0.0665536,
        0.0672643,
        0.0674581,
        0.0670252,
        0.0665912,
        0.0667837,
        0.066558,
        0.067654,
        0.0678653,
        0.0675066,
        0.0669415,
        0.066692,
        0.0659875,
        0.0671075,
        0.0674157,
        0.0671762,
        0.067061,
        0.066378,
        0.065266,
        0.0651556,
        0.0660971,
        0.0666593,
        0.0658792,
        0.066003,
        0.0665521,
        0.0671423,
        0.0666621,
        0.0661097,
        0.0666721,
        0.0659766,
        0.0660205,
        0.0655946,
        0.0645366,
        0.0656099,
        0.0680335,
        0.0691698,
        0.0680484,
        0.0672786,
        0.065555,
        0.0784202,
        0.074026,
        0.0660075,
        0.0661471,
        0.0655543,
        0.0645545,
        0.0656136,
        0.0665653,
        0.0669429,
        0.0674166,
        0.0698196,
        0.0690536,
        0.0676349,
        0.0681321,
        0.0687509,
        0.0685393,
        0.0692228,
        0.0687272,
        0.0724473,
        0.0725929,
        0.0706212,
        0.0719355,
        0.0717033,
        0.071807,
        0.0706669,
        0.0710462,
        0.0721012,
        0.073176,
        0.0733246,
        0.0733166,
        0.0732517,
        0.0742746,
        0.0747777,
        0.0748667,
        0.0755193,
        0.0757243,
        0.0756252,
        0.0769287,
        0.0775372,
        0.0783418,
        0.0799426,
        0.0819113,
        0.0827116,
        0.0834232,
        0.0855434,
        0.089503,
        0.103316,
        0.107926,
        0.100418,
        0.10533,
        0.111433,
        0.122242,
        0.133648,
        0.15142,
        0.171618,
        0.176194,
        0.150002,
        0.129286,
        0.118793,
        0.110817,
        0.1039,
        0.10077,
        0.0957232,
        0.0903852,
        0.088868,
        0.0894479,
        0.0883754,
        0.0846961,
        0.08221,
        0.0810776,
        0.0795839,
        0.0795014,
        0.0804339,
        0.0799547,
        0.0804903,
        0.0784825,
        0.0779682,
        0.0790762,
        0.0788559,
        0.0789236,
        0.0823199,
        0.0803348,
        0.0769017,
        0.0775428,
        0.0781785,
        0.0779349,
        0.0782212,
        0.0778887,
        0.0777791,
        0.0783229,
        0.0778341,
        0.0786662,
        0.077892,
        0.0777969,
        0.0778629,
        0.0789873,
        0.0793165,
        0.0792278,
        0.0793967,
        0.0838595,
        0.0844995,
        0.0794965,
        0.0792989,
        0.0797045,
        0.0799256,
        0.0795056,
        0.0808672,
        0.0830185,
        0.0812269,
        0.0805816,
        0.0843107,
        0.0859465,
        0.0812424,
        0.0814567,
        0.0832516,
        0.0832334,
        0.0839003,
        0.084927,
        0.0855379,
        0.0863118,
        0.0869651,
        0.0869952,
        0.0879538,
        0.0893545,
        0.0893063,
        0.0911636,
        0.0938786,
        0.11411,
        0.117367,
        0.102874,
        0.107716,
        0.11385,
        0.117388,
        0.122935,
        0.12804,
        0.132673,
        0.132984,
        0.130142,
        0.126144,
        0.122529,
        0.120545,
        0.118325,
        0.109706,
        0.106422,
        0.103936,
        0.101066,
        0.098423,
        0.0991174,
        0.0992682,
        0.0985225,
        0.0976204,
        0.0984861,
        0.0977823,
        0.105999,
        0.105445,
        0.096632,
        0.096019,
        0.100103,
        0.101654,
        0.097121,
        0.0967314,
        0.0977826,
        0.0960612,
        0.0953508,
        0.0977281,
        0.0989882,
        0.0980594,
        0.0980625,
        0.100078,
        0.104976,
        0.101617,
        0.099501,
        0.0989406,
        0.100233,
        0.10146,
        0.103461,
        0.102123,
        0.100958,
        0.102897,
        0.103611,
        0.104079,
        0.10329,
        0.103414,
        0.103198,
        0.103892,
        0.104134,
        0.10364,
        0.105263,
        0.108815,
        0.110321,
        0.108432,
        0.107288,
        0.108402,
        0.108405,
        0.108624,
        0.111263,
        0.113423,
        0.114936,
        0.112001,
        0.111103,
        0.113355,
        0.11331,
        0.119761,
        0.121804,
        0.115286,
        0.117602,
        0.115525,
        0.11972,
        0.120202,
        0.120832,
        0.122347,
        0.121159,
        0.125491,
        0.124984,
        0.125792,
        0.127147,
        0.127832,
        0.129138,
        0.132675,
        0.132926,
        0.14042,
        0.135387,
        0.133304,
        0.139866,
        0.143656,
        0.143725,
        0.143906,
        0.145425,
        0.148856,
        0.150795,
        0.153709,
        0.173008,
        0.178122,
        0.168491,
        0.170021,
        0.171631,
        0.184665,
        0.193882
    ]
}