GET /api/crires_4645nm_4978nm_vstar_v1003_oph/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.645466949230664,
        4.645486999863236,
        4.645507050495807,
        4.64552710112838,
        4.645547151760952,
        4.645567202393525,
        4.645587253026098,
        4.645607303658669,
        4.645627354291241,
        4.645647404923814,
        4.645667455556386,
        4.645687506188959,
        4.645707556821531,
        4.645727607454103,
        4.645747658086676,
        4.645767708719248,
        4.646008316310115,
        4.646028366942687,
        4.64604841757526,
        4.646068468207832,
        4.646088518840404,
        4.646108569472977,
        4.646128620105549,
        4.646148670738122,
        4.646168721370694,
        4.646188772003265,
        4.646208822635838,
        4.646228873268411,
        4.646248923900983,
        4.646268974533556,
        4.646289025166127,
        4.646309075798699,
        4.646329126431272,
        4.646349177063845,
        4.646369227696417,
        4.646389278328989,
        4.646409328961562,
        4.646429379594133,
        4.646449430226706,
        4.646469480859278,
        4.64648953149185,
        4.646509582124423,
        4.646529632756996,
        4.646549683389567,
        4.6465697340221395,
        4.646589784654712,
        4.646609835287284,
        4.646629885919857,
        4.64664993655243,
        4.6466699871850015,
        4.6466900378175735,
        4.646710088450146,
        4.6467301390827185,
        4.646750189715291,
        4.646770240347863,
        4.6467902909804355,
        4.6468103416130075,
        4.64683039224558,
        4.646850442878152,
        4.646870493510725,
        4.646890544143297,
        4.6469105947758695,
        4.6469306454084425,
        4.646950696041013,
        4.646970746673586,
        4.646990797306159,
        4.647010847938731,
        4.647030898571304,
        4.647050949203876,
        4.647070999836448,
        4.64709105046902,
        4.647111101101593,
        4.647131151734165,
        4.647151202366737,
        4.64717125299931,
        4.647191303631882,
        4.647211354264454,
        4.647231404897027,
        4.647251455529598,
        4.647271506162171,
        4.647291556794744,
        4.647311607427316,
        4.647331658059888,
        4.64735170869246,
        4.647371759325032,
        4.647391809957605,
        4.647411860590178,
        4.647431911222749,
        4.647451961855322,
        4.647472012487894,
        4.647492063120466,
        4.647512113753039,
        4.647532164385611,
        4.647552215018183,
        4.647572265650756,
        4.647592316283328,
        4.6476123669159,
        4.647632417548472,
        4.647652468181044,
        4.647672518813617,
        4.64769256944619,
        4.647712620078762,
        4.647732670711333,
        4.647752721343906,
        4.647772771976478,
        4.647792822609051,
        4.647812873241623,
        4.647832923874195,
        4.647852974506768,
        4.64787302513934,
        4.647893075771912,
        4.647913126404484,
        4.647933177037057,
        4.647953227669629,
        4.647973278302202,
        4.647993328934775,
        4.648013379567345,
        4.648033430199918,
        4.648053480832491,
        4.648073531465063,
        4.648093582097636,
        4.648113632730208,
        4.648133683362779,
        4.648153733995352,
        4.648173784627925,
        4.648193835260497,
        4.648213885893069,
        4.648233936525642,
        4.648253987158214,
        4.648274037790786,
        4.648294088423358,
        4.64831413905593,
        4.648334189688503,
        4.648354240321076,
        4.648374290953648,
        4.6483943415862194,
        4.648414392218792,
        4.648434442851364,
        4.648454493483937,
        4.648474544116509,
        4.648494594749081,
        4.648514645381654,
        4.6485346960142255,
        4.6485547466467985,
        4.648574797279371,
        4.6485948479119426,
        4.6486148985445155,
        4.648634949177088,
        4.64865499980966,
        4.648675050442232,
        4.6486951010748045,
        4.648715151707377,
        4.6487352023399495,
        4.6487552529725225,
        4.648775303605094,
        4.648795354237666,
        4.648815404870239,
        4.648835455502811,
        4.648855506135384,
        4.648875556767956,
        4.648895607400528,
        4.648915658033101,
        4.648935708665673,
        4.648955759298245,
        4.648975809930817,
        4.64899586056339,
        4.649015911195962,
        4.649035961828535,
        4.649056012461107,
        4.649076063093678,
        4.649096113726251,
        4.649116164358824,
        4.649136214991396,
        4.649156265623968,
        4.649176316256541,
        4.649196366889112,
        4.649216417521685,
        4.649236468154258,
        4.649256518786829,
        4.649276569419402,
        4.649296620051975,
        4.649316670684546,
        4.649336721317119,
        4.64935677194969,
        4.649376822582263,
        4.649396873214836,
        4.649416923847408,
        4.649436974479981,
        4.649457025112552,
        4.649477075745124,
        4.649497126377697,
        4.649637480805703,
        4.649657531438275,
        4.649677582070848,
        4.649697632703421,
        4.649717683335992,
        4.649737733968564,
        4.649757784601137,
        4.649777835233709,
        4.649797885866282,
        4.649817936498855,
        4.649837987131426,
        4.649858037763998,
        4.649878088396571,
        4.649898139029143,
        4.649918189661716,
        4.649938240294288,
        4.64995829092686,
        4.649978341559432,
        4.649998392192005,
        4.650018442824576,
        4.650038493457149,
        4.650058544089722,
        4.650078594722294,
        4.650098645354867,
        4.650118695987438,
        4.65013874662001,
        4.650158797252583,
        4.650178847885155,
        4.650198898517728,
        4.6502189491503,
        4.6502389997828715,
        4.650259050415444,
        4.650279101048017,
        4.650299151680589,
        4.650319202313161,
        4.650339252945734,
        4.650359303578306,
        4.6503793542108784,
        4.650399404843451,
        4.6504194554760225,
        4.6504395061085955,
        4.650459556741168,
        4.65047960737374,
        4.650499658006312,
        4.6505197086388845,
        4.650539759271457,
        4.6505598099040295,
        4.650579860536602,
        4.650599911169174,
        4.6506199618017465,
        4.650640012434319,
        4.650660063066891,
        4.6506801136994635,
        4.650700164332036,
        4.650720214964608,
        4.650740265597181,
        4.6507603162297535,
        4.650780366862325,
        4.650800417494897,
        4.65082046812747,
        4.650840518760042,
        4.650860569392615,
        4.6508806200251875,
        4.650900670657758,
        4.650920721290331,
        4.650940771922904,
        4.650960822555476,
        4.650980873188048,
        4.651000923820621,
        4.651020974453193,
        4.651041025085765,
        4.651061075718337,
        4.651081126350909,
        4.651101176983482,
        4.651121227616054,
        4.651141278248627,
        4.651161328881199,
        4.65118137951377,
        4.651201430146343,
        4.651221480778916,
        4.651241531411488,
        4.651261582044061,
        4.651281632676633,
        4.651301683309204,
        4.651321733941777,
        4.65134178457435,
        4.651361835206922,
        4.651381885839494,
        4.651401936472067,
        4.651421987104638,
        4.651442037737211,
        4.651462088369783,
        4.651482139002355,
        4.651502189634928,
        4.651522240267501,
        4.651542290900073,
        4.651562341532644,
        4.651582392165217,
        4.651602442797789,
        4.651622493430362,
        4.651642544062935,
        4.651662594695506,
        4.651682645328079,
        4.651702695960651,
        4.651722746593223,
        4.651742797225796,
        4.651762847858368,
        4.65178289849094,
        4.651802949123513,
        4.651822999756085,
        4.651843050388656,
        4.651863101021229,
        4.651883151653801,
        4.651903202286374,
        4.651923252918947,
        4.651943303551518,
        4.65196335418409,
        4.651983404816663,
        4.652003455449235,
        4.652023506081808,
        4.65204355671438,
        4.652063607346952,
        4.652083657979524,
        4.652103708612097,
        4.652123759244669,
        4.652143809877241,
        4.652163860509814,
        4.652183911142386,
        4.652203961774959,
        4.652224012407531,
        4.6522440630401025,
        4.6522641136726754,
        4.652284164305248,
        4.65230421493782,
        4.6523242655703925,
        4.6523443162029645,
        4.652364366835537,
        4.6523844174681095,
        4.652404468100682,
        4.652424518733254,
        4.6524445693658265,
        4.652464619998399,
        4.652484670630971,
        4.6525047212635435,
        4.652524771896116,
        4.652544822528688,
        4.6525648731612606,
        4.6525849237938335,
        4.6526049744264055,
        4.652625025058977,
        4.65264507569155,
        4.652665126324122,
        4.652685176956695,
        4.6527052275892675,
        4.652725278221839,
        4.652745328854411,
        4.652765379486983,
        4.652785430119556,
        4.652805480752128,
        4.6528255313847,
        4.652845582017273,
        4.652865632649846,
        4.652885683282417,
        4.652905733914989,
        4.652925784547562,
        4.652945835180134,
        4.652965885812707,
        4.65298593644528,
        4.65300598707785,
        4.653026037710423,
        4.653046088342996,
        4.653066138975568,
        4.653086189608141,
        4.653106240240713,
        4.653126290873285,
        4.653146341505857,
        4.65316639213843,
        4.653186442771001,
        4.653206493403574,
        4.653226544036147,
        4.653246594668719,
        4.653266645301291,
        4.653286695933863,
        4.653306746566435,
        4.653326797199008,
        4.653346847831581,
        4.653366898464153,
        4.653386949096725,
        4.653406999729297,
        4.653427050361869,
        4.653447100994442,
        4.653467151627015,
        4.653487202259586,
        4.653507252892159,
        4.653527303524732,
        4.653547354157303,
        4.653567404789876,
        4.653587455422447,
        4.65360750605502,
        4.653627556687593,
        4.653647607320165,
        4.653667657952736,
        4.653687708585309,
        4.653707759217881,
        4.653727809850454,
        4.653747860483027,
        4.653767911115598,
        4.653787961748171,
        4.653808012380743,
        4.653828063013315,
        4.653848113645888,
        4.65386816427846,
        4.653888214911032,
        4.653908265543605,
        4.653928316176177,
        4.653948366808749,
        4.653968417441321,
        4.653988468073894,
        4.654008518706466,
        4.654028569339039,
        4.654048619971612,
        4.6540686706041825,
        4.654088721236755,
        4.654108771869328,
        4.6541288225019,
        4.6541488731344725,
        4.654168923767045,
        4.6541889743996165,
        4.6542090250321895,
        4.654229075664762,
        4.654249126297334,
        4.6542691769299065,
        4.654289227562479,
        4.6543092781950515,
        4.6543293288276235,
        4.654349379460196,
        4.654369430092768,
        4.6543894807253405,
        4.6544095313579135,
        4.6544295819904855,
        4.6544496326230576,
        4.654469683255629,
        4.654489733888202,
        4.654509784520775,
        4.654529835153347,
        4.654549885785919,
        4.654569936418492,
        4.654589987051063,
        4.654610037683636,
        4.654630088316208,
        4.65465013894878,
        4.654670189581353,
        4.654690240213926,
        4.654710290846498,
        4.654730341479069,
        4.654750392111642,
        4.654770442744214,
        4.654790493376787,
        4.65481054400936,
        4.654830594641931,
        4.654850645274503,
        4.654870695907076,
        4.654890746539648,
        4.654910797172221,
        4.654930847804793,
        4.654950898437365,
        4.654970949069938,
        4.65499099970251,
        4.655011050335081,
        4.655031100967654,
        4.655051151600227,
        4.655071202232799,
        4.655091252865372,
        4.655111303497943,
        4.655131354130515,
        4.655151404763088,
        4.655171455395661,
        4.655191506028233,
        4.655211556660805,
        4.655231607293378,
        4.655251657925949,
        4.655271708558522,
        4.655291759191095,
        4.655311809823666,
        4.655331860456239,
        4.655351911088811,
        4.655371961721384,
        4.655392012353956,
        4.655412062986527,
        4.6554321136191,
        4.655452164251673,
        4.655472214884245,
        4.655492265516817,
        4.655512316149389,
        4.655532366781961,
        4.655552417414534,
        4.655572468047107,
        4.655592518679678,
        4.655612569312251,
        4.655632619944824,
        4.655652670577395,
        4.655672721209968,
        4.65569277184254,
        4.655712822475112,
        4.655732873107685,
        4.655752923740258,
        4.655772974372829,
        4.655793025005401,
        4.655813075637974,
        4.655833126270546,
        4.655853176903119,
        4.655873227535692,
        4.655893278168263,
        4.655913328800835,
        4.655933379433408,
        4.65595343006598,
        4.655973480698552,
        4.655993531331125,
        4.656013581963697,
        4.6560336325962695,
        4.656053683228842,
        4.6560737338614135,
        4.6560937844939865,
        4.656113835126559,
        4.6561338857591315,
        4.656153936391704,
        4.656173987024275,
        4.656194037656848,
        4.6562140882894205,
        4.656234138921993,
        4.6562541895545655,
        4.6562742401871375,
        4.656294290819709,
        4.656314341452282,
        4.656334392084855,
        4.656354442717427,
        4.656374493349999,
        4.656394543982572,
        4.656414594615144,
        4.656434645247716,
        4.656454695880288,
        4.65647474651286,
        4.656494797145433,
        4.656514847778006,
        4.656534898410578,
        4.65655494904315,
        4.656574999675722,
        4.656595050308294,
        4.656615100940867,
        4.65663515157344,
        4.656655202206011,
        4.656675252838584,
        4.656695303471156,
        4.656715354103728,
        4.656735404736301,
        4.656755455368873,
        4.656775506001445,
        4.656795556634018,
        4.656815607266591,
        4.656835657899161,
        4.656855708531734,
        4.656875759164307,
        4.656895809796879,
        4.656915860429452,
        4.656935911062024,
        4.656955961694595,
        4.656976012327168,
        4.656996062959741,
        4.657096316122602,
        4.657116366755174,
        4.657136417387746,
        4.657156468020319,
        4.657176518652891,
        4.657196569285464,
        4.657216619918037,
        4.657236670550607,
        4.65725672118318,
        4.657276771815753,
        4.657296822448325,
        4.657316873080897,
        4.65733692371347,
        4.657356974346041,
        4.657377024978614,
        4.657397075611187,
        4.657417126243758,
        4.657437176876331,
        4.657457227508904,
        4.657477278141476,
        4.657497328774048,
        4.65751737940662,
        4.657537430039192,
        4.657557480671765,
        4.657577531304338,
        4.6579384426906385,
        4.657958493323211,
        4.657978543955784,
        4.6579985945883555,
        4.658018645220928,
        4.6580386958535005,
        4.6580587464860725,
        4.6580787971186455,
        4.6580988477512175,
        4.65811889838379,
        4.6581389490163625,
        4.6581589996489345,
        4.658179050281506,
        4.658199100914079,
        4.658219151546652,
        4.658239202179224,
        4.6582592528117965,
        4.658279303444368,
        4.65829935407694,
        4.658319404709513,
        4.658339455342086,
        4.658359505974658,
        4.65837955660723,
        4.658399607239803,
        4.658419657872374,
        4.658439708504947,
        4.65845975913752,
        4.658479809770091,
        4.658499860402664,
        4.658519911035237,
        4.658539961667808,
        4.658560012300381,
        4.658580062932953,
        4.658600113565525,
        4.658620164198098,
        4.658640214830671,
        4.658660265463242,
        4.658680316095814,
        4.658700366728387,
        4.658720417360959,
        4.658740467993532,
        4.658760518626103,
        4.658780569258676,
        4.658800619891248,
        4.65882067052382,
        4.658840721156393,
        4.658860771788965,
        4.658880822421537,
        4.65890087305411,
        4.658920923686683,
        4.658940974319254,
        4.658961024951826,
        4.658981075584399,
        4.659001126216971,
        4.659021176849544,
        4.659041227482117,
        4.659061278114687,
        4.65908132874726,
        4.659101379379833,
        4.659121430012405,
        4.659141480644977,
        4.65916153127755,
        4.659181581910122,
        4.659201632542694,
        4.659221683175267,
        4.659241733807838,
        4.659261784440411,
        4.659281835072984,
        4.659301885705556,
        4.659321936338129,
        4.6593419869707,
        4.659362037603272,
        4.659382088235845,
        4.659402138868418,
        4.65942218950099,
        4.659442240133562,
        4.659462290766134,
        4.659482341398706,
        4.659502392031279,
        4.659522442663852,
        4.659542493296423,
        4.659562543928996,
        4.659582594561569,
        4.65960264519414,
        4.659622695826712,
        4.6596427464592844,
        4.659662797091857,
        4.65968284772443,
        4.659702898357002,
        4.6597229489895735,
        4.659742999622146,
        4.6597630502547185,
        4.659783100887291,
        4.659803151519864,
        4.6598232021524355,
        4.659843252785008,
        4.6598633034175805,
        4.6598833540501525,
        4.6599034046827255,
        4.6599234553152975,
        4.6599435059478695,
        4.6599635565804425,
        4.659983607213015,
        4.660003657845586,
        4.660023708478159,
        4.6600437591107315,
        4.660063809743304,
        4.6600838603758765,
        4.660103911008449,
        4.66012396164102,
        4.660144012273593,
        4.660164062906166,
        4.660184113538738,
        4.66020416417131,
        4.660224214803883,
        4.660244265436455,
        4.660264316069027,
        4.6602843667016,
        4.660304417334171,
        4.660324467966744,
        4.660344518599317,
        4.660364569231889,
        4.660384619864461,
        4.660404670497033,
        4.660424721129605,
        4.660444771762178,
        4.66046482239475,
        4.660484873027322,
        4.660504923659895,
        4.660524974292466,
        4.660545024925039,
        4.660565075557612,
        4.660585126190183,
        4.660605176822756,
        4.660625227455329,
        4.6606452780879,
        4.660665328720473,
        4.660685379353045,
        4.660705429985617,
        4.66072548061819,
        4.660745531250763,
        4.660765581883335,
        4.660785632515906,
        4.660805683148479,
        4.660825733781051,
        4.660845784413624,
        4.660865835046197,
        4.660885885678768,
        4.660905936311341,
        4.660925986943913,
        4.660946037576485,
        4.660966088209057,
        4.66098613884163,
        4.661006189474202,
        4.661026240106775,
        4.661046290739347,
        4.661066341371918,
        4.661086392004491,
        4.661106442637064,
        4.661326999595359,
        4.661347050227931,
        4.661367100860503,
        4.661387151493076,
        4.661407202125648,
        4.661427252758221,
        4.661447303390792,
        4.661467354023364,
        4.661487404655937,
        4.66150745528851,
        4.661527505921082,
        4.661547556553654,
        4.661567607186226,
        4.6615876578187985,
        4.661607708451371,
        4.661627759083944,
        4.6616478097165155,
        4.661667860349088,
        4.661687910981661,
        4.6617079616142325,
        4.661728012246805,
        4.6617480628793775,
        4.6617681135119495,
        4.6617881641445225,
        4.661808214777095,
        4.661828265409666,
        4.661848316042239,
        4.6618683666748115,
        4.661888417307384,
        4.6619084679399565,
        4.6619285185725285,
        4.661948569205101,
        4.661968619837673,
        4.661988670470246,
        4.662008721102818,
        4.66202877173539,
        4.662048822367963,
        4.662068873000535,
        4.662088923633108,
        4.66210897426568,
        4.662129024898251,
        4.662149075530824,
        4.662169126163396,
        4.662189176795969,
        4.662209227428542,
        4.662229278061112,
        4.662249328693685,
        4.662269379326258,
        4.66228942995883,
        4.662309480591402,
        4.662329531223975,
        4.662349581856547,
        4.662369632489119,
        4.662389683121692,
        4.662409733754263,
        4.662429784386836,
        4.662449835019409,
        4.662469885651981,
        4.662489936284553,
        4.662509986917125,
        4.662530037549697,
        4.66255008818227,
        4.662570138814843,
        4.662590189447415,
        4.662610240079987,
        4.662630290712559,
        4.662650341345131,
        4.662670391977704,
        4.662690442610277,
        4.662710493242848,
        4.662730543875421,
        4.662750594507994,
        4.662770645140565,
        4.662790695773137,
        4.66281074640571,
        4.662830797038282,
        4.662850847670855,
        4.662870898303428,
        4.662890948935998,
        4.662910999568571,
        4.662931050201144,
        4.662951100833716,
        4.662971151466289,
        4.662991202098861,
        4.663011252731433,
        4.663031303364005,
        4.663051353996577,
        4.66307140462915,
        4.663091455261722,
        4.663111505894294,
        4.663131556526867,
        4.663151607159439,
        4.66317165779201,
        4.663191708424583,
        4.663211759057156,
        4.663231809689728,
        4.663251860322301,
        4.663271910954873,
        4.663291961587444,
        4.663312012220017,
        4.66333206285259,
        4.663352113485162,
        4.663372164117734,
        4.663392214750307,
        4.6634122653828785,
        4.663432316015451,
        4.663452366648024,
        4.6634724172805955,
        4.663492467913168,
        4.663512518545741,
        4.663532569178313,
        4.663552619810885,
        4.6635726704434575,
        4.6635927210760295,
        4.6636127717086024,
        4.663632822341175,
        4.6636528729737465,
        4.6636729236063195,
        4.6636929742388915,
        4.6637130248714636,
        4.6637330755040365,
        4.6637531261366085,
        4.663773176769181,
        4.6637932274017535,
        4.6638132780343255,
        4.663833328666898,
        4.66385337929947,
        4.663873429932042,
        4.663893480564615,
        4.6639135311971875,
        4.66393358182976,
        4.663953632462331,
        4.663973683094904,
        4.663993733727476,
        4.664013784360049,
        4.664033834992622,
        4.664053885625193,
        4.664073936257765,
        4.664093986890338,
        4.66411403752291,
        4.664134088155482,
        4.664154138788055,
        4.664174189420627,
        4.6641942400532,
        4.664214290685772,
        4.664234341318343,
        4.664254391950916,
        4.664274442583489,
        4.664294493216061,
        4.664314543848634,
        4.664334594481205,
        4.664354645113777,
        4.66437469574635,
        4.664394746378923,
        4.664414797011495,
        4.664434847644067,
        4.66445489827664,
        4.664474948909211,
        4.664494999541784,
        4.664515050174357,
        4.664535100806928,
        4.664555151439501,
        4.664575202072074,
        4.664595252704645,
        4.664615303337217,
        4.66463535396979,
        4.664655404602362,
        4.664675455234935,
        4.664695505867508,
        4.664715556500079,
        4.664735607132651,
        4.664755657765223,
        4.664775708397796,
        4.664795759030369,
        4.66481580966294,
        4.664835860295513,
        4.664855910928086,
        4.664875961560657,
        4.66489601219323,
        4.664916062825802,
        4.664936113458374,
        4.664956164090947,
        4.66497621472352,
        4.66499626535609,
        4.665016315988663,
        4.665036366621236,
        4.665056417253808,
        4.665076467886381,
        4.665096518518953,
        4.665116569151525,
        4.665136619784097,
        4.66515667041667,
        4.665176721049242,
        4.665196771681814,
        4.665216822314387,
        4.665236872946959,
        4.665256923579531,
        4.665276974212104,
        4.6652970248446755,
        4.665317075477248,
        4.665337126109821,
        4.665357176742393,
        4.665377227374966,
        4.6653972780075375,
        4.6654173286401095,
        4.665437379272682,
        4.665457429905255,
        4.6654774805378265,
        4.6654975311703994,
        4.665517581802972,
        4.6655376324355435,
        4.6655576830681165,
        4.6655777337006885,
        4.665597784333261,
        4.6656178349658335,
        4.6656378855984055,
        4.665657936230978,
        4.66567798686355,
        4.665698037496122,
        4.665718088128695,
        4.6657381387612675,
        4.66575818939384,
        4.665778240026412,
        4.665798290658984,
        4.665818341291556,
        4.665838391924129,
        4.665858442556702,
        4.665878493189273,
        4.665898543821846,
        4.665918594454418,
        4.66593864508699,
        4.665958695719562,
        4.665978746352135,
        4.665998796984707,
        4.66601884761728,
        4.666038898249853,
        4.666058948882423,
        4.666078999514996,
        4.666099050147569,
        4.666119100780141,
        4.666139151412714,
        4.666159202045286,
        4.666179252677857,
        4.66619930331043,
        4.666219353943003,
        4.666239404575575,
        4.666259455208147,
        4.66627950584072,
        4.666299556473292,
        4.666319607105864,
        4.666339657738436,
        4.666359708371008,
        4.666379759003581,
        4.666399809636154,
        4.666419860268726,
        4.666439910901298,
        4.666459961533869,
        4.666480012166442,
        4.666500062799015,
        4.666520113431587,
        4.666540164064159,
        4.666560214696732,
        4.666580265329303,
        4.666600315961876,
        4.666620366594449,
        4.66664041722702,
        4.666660467859593,
        4.666680518492166,
        4.666700569124738,
        4.66672061975731,
        4.666740670389882,
        4.666760721022454,
        4.666780771655027,
        4.6668008222876,
        4.666820872920171,
        4.666840923552743,
        4.666860974185316,
        4.666881024817888,
        4.666901075450461,
        4.666921126083033,
        4.666941176715605,
        4.666961227348178,
        4.66698127798075,
        4.667001328613322,
        4.667021379245894,
        4.667041429878467,
        4.667061480511039,
        4.667081531143612,
        4.667101581776184,
        4.667121632408755,
        4.667141683041328,
        4.667161733673901,
        4.667181784306473,
        4.667201834939046,
        4.667221885571618,
        4.6672419362041895,
        4.667261986836762,
        4.667282037469335,
        4.6673020881019065,
        4.667322138734479,
        4.6673421893670515,
        4.6673622399996235,
        4.6673822906321965,
        4.667402341264768,
        4.6674223918973405,
        4.6674424425299135,
        4.6674624931624855,
        4.6674825437950584,
        4.66750259442763,
        4.667522645060202,
        4.667542695692775,
        4.6675627463253475,
        4.6675827969579196,
        4.667602847590492,
        4.6676228982230645,
        4.667642948855636,
        4.667662999488209,
        4.6676830501207816,
        4.667703100753353,
        4.667723151385926,
        4.667743202018499,
        4.66776325265107,
        4.667783303283642,
        4.667803353916215,
        4.667823404548787,
        4.66784345518136,
        4.667863505813933,
        4.667883556446504,
        4.667903607079076,
        4.667923657711649,
        4.667943708344221,
        4.667963758976794,
        4.667983809609366,
        4.668003860241938,
        4.66802391087451,
        4.668043961507083,
        4.668064012139655,
        4.668084062772227,
        4.6681041134048,
        4.668124164037372,
        4.668144214669945,
        4.668164265302515,
        4.668184315935088,
        4.668204366567661,
        4.668224417200233,
        4.668244467832806,
        4.668264518465378,
        4.668284569097949,
        4.668304619730522,
        4.668324670363095,
        4.668344720995667,
        4.668364771628239,
        4.668384822260812,
        4.668404872893384,
        4.668424923525956,
        4.668444974158529,
        4.6684650247911,
        4.668485075423673,
        4.668505126056246,
        4.668525176688818,
        4.668545227321391,
        4.668565277953962,
        4.668585328586534,
        4.668605379219107,
        4.66862542985168,
        4.668645480484251,
        4.668665531116824,
        4.668685581749396,
        4.668705632381968,
        4.668725683014541,
        4.668745733647113,
        4.668765784279685,
        4.668785834912258,
        4.668805885544831,
        4.668825936177402,
        4.668845986809974,
        4.668866037442547,
        4.668886088075119,
        4.668906138707692,
        4.668926189340265,
        4.668946239972835,
        4.668966290605408,
        4.668986341237981,
        4.669006391870553,
        4.669026442503126,
        4.669046493135697,
        4.66906654376827,
        4.669086594400842,
        4.669106645033414,
        4.6691266956659865,
        4.669146746298559,
        4.6691667969311315,
        4.669186847563704,
        4.669206898196277,
        4.669226948828848,
        4.6692469994614205,
        4.6692670500939935,
        4.6692871007265655,
        4.669307151359138,
        4.6693272019917105,
        4.669347252624282,
        4.669367303256855,
        4.6693873538894275,
        4.6694074045219995,
        4.669427455154572,
        4.6694475057871445,
        4.669467556419717,
        4.669487607052289,
        4.6695076576848615,
        4.669527708317433,
        4.669547758950006,
        4.6695678095825786,
        4.669587860215151,
        4.669607910847722,
        4.669627961480295,
        4.669648012112867,
        4.66966806274544,
        4.669688113378013,
        4.669708164010584,
        4.669728214643157,
        4.669748265275729,
        4.669768315908301,
        4.669788366540874,
        4.669808417173446,
        4.669828467806018,
        4.669848518438591,
        4.669868569071162,
        4.669888619703735,
        4.669908670336307,
        4.669928720968879,
        4.669948771601452,
        4.669968822234025,
        4.669988872866596,
        4.670008923499168,
        4.670028974131741,
        4.670049024764313,
        4.670069075396886,
        4.670089126029458,
        4.67010917666203,
        4.670129227294602,
        4.670149277927175,
        4.670169328559747,
        4.670189379192319,
        4.670209429824892,
        4.670229480457464,
        4.670249531090037,
        4.670269581722609,
        4.67028963235518,
        4.670309682987753,
        4.670329733620326,
        4.670349784252898,
        4.670369834885471,
        4.670389885518043,
        4.670409936150614,
        4.670429986783187,
        4.67045003741576,
        4.670470088048331,
        4.670490138680904,
        4.670510189313477,
        4.670530239946048,
        4.670550290578621,
        4.670570341211193,
        4.670590391843765,
        4.670610442476338,
        4.670630493108911,
        4.670650543741483,
        4.670670594374054,
        4.670690645006627,
        4.670710695639199,
        4.670730746271772,
        4.670750796904344,
        4.670770847536916,
        4.670790898169488,
        4.67081094880206,
        4.670830999434633,
        4.670851050067206,
        4.670871100699777,
        4.67089115133235,
        4.670911201964923,
        4.670931252597494,
        4.6709513032300665,
        4.670971353862639,
        4.670991404495211,
        4.671011455127784,
        4.671031505760357,
        4.671051556392928,
        4.6710716070255005,
        4.671091657658073,
        4.6711117082906455,
        4.671131758923218,
        4.6711518095557905,
        4.6711718601883625,
        4.6711919108209345,
        4.6712119614535075,
        4.6712320120860795,
        4.671252062718652,
        4.6712721133512245,
        4.6712921639837965,
        4.6713122146163695,
        4.671332265248941,
        4.671352315881513,
        4.671372366514086,
        4.6713924171466585,
        4.671412467779231,
        4.671432518411803,
        4.671452569044375,
        4.671472619676947,
        4.67149267030952,
        4.671512720942093,
        4.671532771574664,
        4.671552822207237,
        4.67157287283981,
        4.671592923472381,
        4.671612974104954,
        4.671633024737525,
        4.671653075370098,
        4.671673126002671,
        4.671693176635243,
        4.671713227267815,
        4.671733277900387,
        4.671753328532959,
        4.671773379165532,
        4.671793429798105,
        4.671813480430676,
        4.671833531063249,
        4.671853581695821,
        4.671873632328393,
        4.671893682960966,
        4.671913733593538,
        4.67193378422611,
        4.671953834858683,
        4.671973885491256,
        4.671993936123827,
        4.672013986756399,
        4.672034037388972,
        4.672054088021544,
        4.672074138654117,
        4.67209418928669,
        4.67211423991926,
        4.672134290551833,
        4.672154341184406,
        4.672174391816978,
        4.672194442449551,
        4.672214493082123,
        4.672234543714695,
        4.672294695612411,
        4.672314746244984,
        4.672334796877557,
        4.672354847510129,
        4.672374898142701,
        4.672394948775273,
        4.672414999407845,
        4.672435050040418,
        4.67245510067299,
        4.672475151305563,
        4.672495201938135,
        4.672515252570706,
        4.672535303203279,
        4.672555353835852,
        4.672575404468424,
        4.672595455100996,
        4.672615505733569,
        4.67263555636614,
        4.672655606998713,
        4.672675657631286,
        4.672695708263857,
        4.67271575889643,
        4.672735809529003,
        4.672755860161575,
        4.6727759107941464,
        4.672795961426719,
        4.672816012059291,
        4.672836062691864,
        4.672856113324437,
        4.672876163957008,
        4.6728962145895805,
        4.672916265222153,
        4.6729363158547255,
        4.672956366487298,
        4.67297641711987,
        4.6729964677524425,
        4.673016518385015,
        4.6730365690175875,
        4.6730566196501595,
        4.6730766702827315,
        4.6730967209153045,
        4.6731167715478765,
        4.6731368221804495,
        4.6731568728130215,
        4.673176923445593,
        4.673196974078166,
        4.6732170247107385,
        4.673237075343311,
        4.673257125975883,
        4.6732771766084555,
        4.673297227241027,
        4.6733172778736,
        4.673337328506172,
        4.673357379138744,
        4.673377429771317,
        4.673397480403889,
        4.673417531036462,
        4.673437581669034,
        4.673457632301605,
        4.673477682934178,
        4.673497733566751,
        4.673517784199323,
        4.673537834831896,
        4.673557885464467,
        4.673577936097039,
        4.673597986729612,
        4.673618037362185,
        4.673638087994756,
        4.673658138627329,
        4.673678189259902,
        4.673698239892473,
        4.673718290525046,
        4.673738341157618,
        4.67375839179019,
        4.673778442422763,
        4.673798493055336,
        4.673818543687907,
        4.673838594320479,
        4.673858644953052,
        4.673878695585624,
        4.673898746218197,
        4.67391879685077,
        4.673938847483341,
        4.673958898115913,
        4.673978948748486,
        4.673998999381058,
        4.674019050013631,
        4.674039100646203,
        4.674059151278775,
        4.674079201911348,
        4.67409925254392,
        4.674119303176491,
        4.674139353809064,
        4.674159404441636,
        4.674179455074209,
        4.674199505706782,
        4.674219556339352,
        4.674239606971925,
        4.674259657604498,
        4.6747609234188054,
        4.674780974051378,
        4.67480102468395,
        4.6748210753165225,
        4.674841125949095,
        4.674861176581668,
        4.6748812272142395,
        4.6749012778468115,
        4.6749213284793845,
        4.6749413791119565,
        4.674961429744529,
        4.6749814803771015,
        4.6750015310096735,
        4.675021581642246,
        4.675041632274818,
        4.6750616829073905,
        4.675081733539963,
        4.675101784172535,
        4.675121834805108,
        4.67514188543768,
        4.675161936070252,
        4.675181986702824,
        4.675202037335397,
        4.675222087967969,
        4.675242138600542,
        4.6752621892331145,
        4.675282239865685,
        4.675302290498258,
        4.675322341130831,
        4.675342391763403,
        4.675362442395976,
        4.675382493028548,
        4.675402543661119,
        4.675422594293692,
        4.675442644926265,
        4.675462695558836,
        4.675482746191409,
        4.675502796823982,
        4.675522847456554,
        4.675542898089126,
        4.675562948721698,
        4.67558299935427,
        4.675603049986843,
        4.675623100619416,
        4.675643151251988,
        4.675663201884559,
        4.675683252517132,
        4.675703303149704,
        4.675723353782277,
        4.67574340441485,
        4.675763455047421,
        4.675783505679994,
        4.675803556312566,
        4.675823606945138,
        4.675843657577711,
        4.675863708210282,
        4.675883758842855,
        4.675903809475428,
        4.675923860108,
        4.675943910740571,
        4.675963961373144,
        4.675984012005716,
        4.676004062638289,
        4.676024113270862,
        4.676044163903433,
        4.676064214536005,
        4.676084265168578,
        4.67610431580115,
        4.676124366433723,
        4.676144417066295,
        4.676164467698867,
        4.67618451833144,
        4.676204568964012,
        4.676224619596584,
        4.676244670229156,
        4.676264720861729,
        4.676284771494301,
        4.676304822126874,
        4.676324872759445,
        4.676344923392017,
        4.67636497402459,
        4.676385024657163,
        4.676405075289735,
        4.676425125922307,
        4.67644517655488,
        4.676465227187451,
        4.676485277820024,
        4.676505328452597,
        4.676525379085168,
        4.676545429717741,
        4.676565480350314,
        4.676585530982885,
        4.676605581615458,
        4.67662563224803,
        4.6766456828806025,
        4.676665733513175,
        4.676685784145748,
        4.67670583477832,
        4.6767258854108915,
        4.676745936043464,
        4.6767659866760365,
        4.676786037308609,
        4.676806087941181,
        4.6768261385737535,
        4.676846189206326,
        4.676866239838898,
        4.6768862904714705,
        4.676906341104043,
        4.676926391736615,
        4.6769464423691876,
        4.6769664930017605,
        4.676986543634332,
        4.677006594266904,
        4.677026644899477,
        4.677046695532049,
        4.677066746164622,
        4.6770867967971945,
        4.677106847429766,
        4.677126898062338,
        4.677146948694911,
        4.677166999327483,
        4.677187049960056,
        4.677207100592628,
        4.6772271512252,
        4.677247201857772,
        4.677267252490345,
        4.677287303122916,
        4.677307353755489,
        4.677327404388062,
        4.677347455020634,
        4.677367505653207,
        4.677387556285778,
        4.67740760691835,
        4.677427657550923,
        4.677447708183496,
        4.677467758816068,
        4.67748780944864,
        4.677507860081213,
        4.677527910713784,
        4.677547961346357,
        4.67756801197893,
        4.677588062611501,
        4.677608113244074,
        4.677628163876646,
        4.677648214509218,
        4.677668265141791,
        4.677688315774362,
        4.677708366406935,
        4.677728417039508,
        4.67774846767208,
        4.677768518304652,
        4.677788568937224,
        4.677808619569796,
        4.677828670202369,
        4.677848720834942,
        4.677868771467513,
        4.677888822100086,
        4.677908872732658,
        4.67792892336523,
        4.677948973997803,
        4.677969024630375,
        4.677989075262947,
        4.67800912589552,
        4.678029176528093,
        4.678049227160664,
        4.678069277793236,
        4.678089328425809,
        4.678109379058381,
        4.678129429690954,
        4.678149480323526,
        4.678169530956097,
        4.67818958158867,
        4.678209632221243,
        4.678229682853815,
        4.678249733486387,
        4.67826978411896,
        4.678289834751532,
        4.678309885384104,
        4.678329936016677,
        4.678349986649248,
        4.678370037281821,
        4.678390087914394,
        4.678410138546966,
        4.678430189179538,
        4.6784502398121095,
        4.678470290444682,
        4.678490341077255,
        4.678510391709827,
        4.6785304423424,
        4.678550492974972,
        4.6785705436075435,
        4.6785905942401165,
        4.678610644872689,
        4.678630695505261,
        4.6786507461378335,
        4.678670796770406,
        4.6786908474029785,
        4.6787108980355505,
        4.678730948668123,
        4.678750999300695,
        4.6787710499332675,
        4.6787911005658405,
        4.6788111511984125,
        4.678831201830984,
        4.678851252463557,
        4.678871303096129,
        4.678891353728702,
        4.6789114043612745,
        4.678931454993846,
        4.678951505626419,
        4.678971556258991,
        4.678991606891563,
        4.679011657524136,
        4.679031708156708,
        4.67905175878928,
        4.679071809421853,
        4.679091860054425,
        4.679111910686996,
        4.679292366380148,
        4.67931241701272,
        4.679332467645292,
        4.679352518277864,
        4.679372568910437,
        4.679392619543009,
        4.679412670175581,
        4.679432720808154,
        4.679452771440726,
        4.679472822073299,
        4.67949287270587,
        4.679512923338442,
        4.679532973971015,
        4.679553024603588,
        4.67957307523616,
        4.679593125868732,
        4.679613176501305,
        4.679633227133876,
        4.679653277766449,
        4.679673328399022,
        4.679693379031593,
        4.679713429664166,
        4.679733480296739,
        4.67975353092931,
        4.679773581561883,
        4.679793632194455,
        4.679813682827027,
        4.6798337334596,
        4.679853784092173,
        4.679873834724745,
        4.679893885357316,
        4.679913935989889,
        4.679933986622461,
        4.679954037255034,
        4.679974087887606,
        4.679994138520178,
        4.68001418915275,
        4.680034239785323,
        4.680054290417895,
        4.680074341050467,
        4.68009439168304,
        4.680114442315612,
        4.680134492948185,
        4.680154543580756,
        4.680174594213328,
        4.680194644845901,
        4.680214695478473,
        4.680234746111046,
        4.680254796743619,
        4.6802748473761895,
        4.680294898008762,
        4.680314948641335,
        4.680334999273907,
        4.68035504990648,
        4.680375100539052,
        4.680395151171624,
        4.6804152018041965,
        4.680435252436769,
        4.6804553030693405,
        4.6804753537019135,
        4.680495404334486,
        4.6805154549670585,
        4.680535505599631,
        4.6805555562322025,
        4.680575606864775,
        4.6805956574973475,
        4.6806157081299204,
        4.6806357587624925,
        4.6806558093950645,
        4.680675860027637,
        4.680695910660209,
        4.680715961292782,
        4.6807360119253545,
        4.680756062557926,
        4.680776113190499,
        4.6807961638230715,
        4.680816214455643,
        4.680836265088216,
        4.680856315720788,
        4.68087636635336,
        4.680896416985933,
        4.6809164676185055,
        4.680936518251076,
        4.680956568883649,
        4.680976619516222,
        4.680996670148794,
        4.681016720781367,
        4.681036771413938,
        4.681056822046511,
        4.681076872679083,
        4.681096923311655,
        4.681116973944228,
        4.6811370245768,
        4.681157075209372,
        4.681177125841945,
        4.681197176474517,
        4.681217227107089,
        4.681237277739661,
        4.681257328372234,
        4.681277379004806,
        4.681297429637379,
        4.681317480269951,
        4.681337530902522,
        4.681357581535095,
        4.681377632167668,
        4.68139768280024,
        4.681417733432812,
        4.681778644819114,
        4.681798695451686,
        4.681818746084258,
        4.681838796716831,
        4.681858847349402,
        4.681878897981975,
        4.681898948614547,
        4.681918999247119,
        4.681939049879692,
        4.681959100512265,
        4.681979151144837,
        4.681999201777408,
        4.682019252409981,
        4.682039303042553,
        4.682059353675126,
        4.682079404307699,
        4.68209945494027,
        4.682119505572842,
        4.682139556205415,
        4.682159606837987,
        4.68217965747056,
        4.682199708103132,
        4.682219758735704,
        4.682239809368277,
        4.682259860000849,
        4.6822799106334205,
        4.6822999612659935,
        4.682320011898566,
        4.682340062531138,
        4.682360113163711,
        4.682380163796283,
        4.682400214428855,
        4.6824202650614275,
        4.682440315694,
        4.6824603663265725,
        4.6824804169591445,
        4.6825004675917175,
        4.682520518224289,
        4.6825405688568615,
        4.6825606194894345,
        4.682580670122006,
        4.682600720754579,
        4.6826207713871515,
        4.6826408220197235,
        4.682660872652296,
        4.682680923284868,
        4.68270097391744,
        4.682721024550013,
        4.682741075182585,
        4.682761125815157,
        4.682781176447729,
        4.682801227080301,
        4.682821277712874,
        4.682841328345447,
        4.682861378978018,
        4.682941581508308,
        4.68296163214088,
        4.682981682773452,
        4.683001733406025,
        4.683021784038598,
        4.683041834671169,
        4.683061885303741,
        4.683081935936314,
        4.683101986568886,
        4.683122037201459,
        4.683142087834031,
        4.683162138466603,
        4.683182189099175,
        4.683202239731748,
        4.68322229036432,
        4.683242340996892,
        4.683262391629465,
        4.683282442262037,
        4.68330249289461,
        4.683322543527182,
        4.683342594159753,
        4.683362644792326,
        4.683382695424899,
        4.683402746057471,
        4.683422796690044,
        4.683442847322615,
        4.683462897955187,
        4.68348294858776,
        4.683502999220333,
        4.683523049852905,
        4.683543100485477,
        4.68356315111805,
        4.683583201750621,
        4.683603252383194,
        4.683623303015765,
        4.683643353648338,
        4.683663404280911,
        4.683683454913483,
        4.683703505546055,
        4.683723556178627,
        4.683743606811199,
        4.683763657443772,
        4.683783708076345,
        4.683803758708917,
        4.683823809341489,
        4.683843859974061,
        4.683863910606633,
        4.683883961239206,
        4.683904011871779,
        4.68392406250435,
        4.683944113136923,
        4.683964163769495,
        4.683984214402067,
        4.68400426503464,
        4.684024315667212,
        4.684044366299784,
        4.684064416932357,
        4.68408446756493,
        4.6841045181975005,
        4.684124568830073,
        4.684144619462646,
        4.684164670095218,
        4.684184720727791,
        4.684204771360363,
        4.684224821992935,
        4.6842448726255075,
        4.68426492325808,
        4.6842849738906525,
        4.6843050245232245,
        4.684325075155797,
        4.6843451257883695,
        4.6843651764209415,
        4.6843852270535145,
        4.684405277686086,
        4.6844253283186585,
        4.684445378951231,
        4.6844654295838035,
        4.684485480216376,
        4.684505530848947,
        4.68452558148152,
        4.684545632114093,
        4.684565682746665,
        4.684585733379237,
        4.68460578401181,
        4.684625834644381,
        4.684645885276954,
        4.684665935909527,
        4.684685986542098,
        4.684706037174671,
        4.684726087807244,
        4.684746138439816,
        4.684766189072388,
        4.68478623970496,
        4.684806290337532,
        4.684826340970105,
        4.684846391602678,
        4.68486644223525,
        4.684886492867821,
        4.684906543500394,
        4.684926594132966,
        4.684946644765539,
        4.684966695398111,
        4.684986746030683,
        4.685006796663256,
        4.685026847295828,
        4.6850468979284,
        4.685066948560972,
        4.685086999193545,
        4.685107049826117,
        4.68512710045869,
        4.685147151091263,
        4.685167201723833,
        4.685187252356406,
        4.685207302988979,
        4.685227353621551,
        4.685247404254124,
        4.685267454886696,
        4.685287505519267,
        4.68530755615184,
        4.685327606784412,
        4.685347657416985,
        4.685367708049557,
        4.685387758682129,
        4.685407809314702,
        4.685427859947274,
        4.685447910579845,
        4.685467961212418,
        4.685488011844991,
        4.685508062477563,
        4.685528113110136,
        4.685548163742707,
        4.685568214375279,
        4.685588265007852,
        4.685608315640425,
        4.685628366272997,
        4.685648416905569,
        4.685668467538142,
        4.685688518170713,
        4.685708568803286,
        4.685728619435859,
        4.685848923231292,
        4.685868973863864,
        4.685889024496437,
        4.68590907512901,
        4.685929125761581,
        4.685949176394153,
        4.685969227026726,
        4.685989277659298,
        4.686009328291871,
        4.686029378924443,
        4.686049429557015,
        4.686069480189588,
        4.68608953082216,
        4.686109581454732,
        4.6861296320873045,
        4.686149682719877,
        4.6861697333524495,
        4.686189783985022,
        4.6862098346175936,
        4.686229885250166,
        4.6862499358827385,
        4.686269986515311,
        4.6862900371478835,
        4.6863100877804555,
        4.686330138413028,
        4.6863501890456,
        4.686370239678173,
        4.686390290310745,
        4.686410340943317,
        4.68643039157589,
        4.686450442208462,
        4.686470492841034,
        4.686490543473607,
        4.686510594106178,
        4.686530644738751,
        4.686550695371324,
        4.686570746003896,
        4.686590796636469,
        4.68661084726904,
        4.686630897901612,
        4.686650948534185,
        4.686670999166758,
        4.68669104979933,
        4.686711100431902,
        4.686731151064474,
        4.686751201697046,
        4.686771252329619,
        4.686791302962191,
        4.686811353594763,
        4.686831404227336,
        4.686851454859909,
        4.68687150549248,
        4.686891556125052,
        4.686911606757625,
        4.686931657390197,
        4.68695170802277,
        4.686971758655343,
        4.686991809287914,
        4.687011859920486,
        4.687031910553058,
        4.687051961185631,
        4.687072011818204,
        4.687092062450775,
        4.687112113083348,
        4.68713216371592,
        4.687152214348492,
        4.687172264981065,
        4.687192315613637,
        4.687212366246209,
        4.687232416878782,
        4.687252467511355,
        4.687272518143925,
        4.687292568776498,
        4.687312619409071,
        4.687332670041643,
        4.687352720674216,
        4.687372771306788,
        4.687392821939359,
        4.687412872571932,
        4.687432923204505,
        4.687452973837077,
        4.687473024469649,
        4.687493075102222,
        4.687513125734794,
        4.687533176367366,
        4.687553226999939,
        4.687633429530228,
        4.6876534801628,
        4.687673530795372,
        4.687693581427944,
        4.687713632060517,
        4.68773368269309,
        4.687753733325661,
        4.687773783958234,
        4.687793834590806,
        4.687813885223378,
        4.687833935855951,
        4.6878539864885225,
        4.687874037121095,
        4.687894087753668,
        4.6879141383862395,
        4.687934189018812,
        4.6879542396513845,
        4.6879742902839565,
        4.6879943409165294,
        4.688014391549102,
        4.688034442181674,
        4.688054492814246,
        4.6880745434468185,
        4.6880945940793906,
        4.688455505465692,
        4.688475556098265,
        4.688495606730838,
        4.68851565736341,
        4.688535707995982,
        4.688555758628555,
        4.688575809261126,
        4.688595859893699,
        4.688615910526271,
        4.688635961158843,
        4.688656011791416,
        4.688676062423989,
        4.688696113056561,
        4.688716163689132,
        4.688736214321704,
        4.688756264954277,
        4.68877631558685,
        4.688796366219422,
        4.688816416851994,
        4.688836467484567,
        4.688856518117138,
        4.688876568749711,
        4.688896619382284,
        4.688916670014855,
        4.688936720647428,
        4.688956771280001,
        4.688976821912572,
        4.688996872545145,
        4.689016923177717,
        4.689036973810289,
        4.689057024442862,
        4.689077075075435,
        4.689097125708006,
        4.689117176340578,
        4.689137226973151,
        4.689157277605723,
        4.689177328238296,
        4.689197378870868,
        4.68921742950344,
        4.689237480136012,
        4.689257530768585,
        4.689277581401157,
        4.689297632033729,
        4.689317682666302,
        4.689337733298874,
        4.689357783931447,
        4.689377834564019,
        4.68939788519659,
        4.689417935829163,
        4.689437986461736,
        4.689458037094308,
        4.68947808772688,
        4.689498138359452,
        4.689518188992024,
        4.689538239624597,
        4.68955829025717,
        4.689578340889741,
        4.689598391522314,
        4.689618442154886,
        4.689638492787458,
        4.689658543420031,
        4.6896785940526025,
        4.689698644685175,
        4.689718695317748,
        4.68973874595032,
        4.689758796582893,
        4.6897788472154645,
        4.6897988978480365,
        4.689818948480609,
        4.689838999113182,
        4.689859049745754,
        4.6898791003783264,
        4.6898991510108985,
        4.6899192016434705,
        4.6899392522760435,
        4.6899593029086155,
        4.689979353541188,
        4.6899994041737605,
        4.690019454806333,
        4.690039505438905,
        4.690059556071477,
        4.6900796067040496,
        4.690099657336622,
        4.6901197079691945,
        4.6901397586017675,
        4.690159809234338,
        4.690179859866911,
        4.690199910499484,
        4.690219961132056,
        4.690240011764629,
        4.690260062397201,
        4.690280113029773,
        4.690300163662345,
        4.690320214294918,
        4.69034026492749,
        4.690360315560062,
        4.690380366192635,
        4.690400416825207,
        4.690420467457779,
        4.69044051809035,
        4.690460568722923,
        4.690480619355496,
        4.690500669988068,
        4.690520720620641,
        4.690540771253213,
        4.690560821885784,
        4.690580872518357,
        4.69060092315093,
        4.690620973783502,
        4.690641024416074,
        4.690661075048647,
        4.690681125681218,
        4.690701176313791,
        4.690721226946364,
        4.690741277578935,
        4.690761328211508,
        4.690781378844081,
        4.690801429476653,
        4.690821480109225,
        4.690841530741797,
        4.690861581374369,
        4.690881632006942,
        4.690901682639515,
        4.690921733272086,
        4.690941783904659,
        4.690961834537231,
        4.690981885169803,
        4.691001935802376,
        4.691021986434948,
        4.69104203706752,
        4.691062087700093,
        4.691082138332665,
        4.691102188965237,
        4.691122239597809,
        4.691142290230382,
        4.691162340862954,
        4.691182391495527,
        4.6912024421281,
        4.69122249276067,
        4.691242543393243,
        4.691262594025816,
        4.691282644658388,
        4.69130269529096,
        4.691322745923532,
        4.691342796556104,
        4.691362847188677,
        4.691382897821249,
        4.691402948453821,
        4.691422999086394,
        4.691443049718966,
        4.691583404146973,
        4.691603454779545,
        4.6916235054121165,
        4.691643556044689,
        4.691663606677262,
        4.691683657309834,
        4.691703707942406,
        4.691723758574979,
        4.6917438092075505,
        4.6917638598401235,
        4.6917839104726955,
        4.6918039611052675,
        4.6918240117378405,
        4.691844062370413,
        4.6918641130029854,
        4.691884163635557,
        4.6919042142681295,
        4.691924264900702,
        4.6919443155332745,
        4.6919643661658474,
        4.691984416798419,
        4.692004467430991,
        4.692024518063564,
        4.692044568696136,
        4.6920646193287086,
        4.692084669961281,
        4.692104720593853,
        4.692124771226426,
        4.692144821858998,
        4.69216487249157,
        4.692184923124142,
        4.692204973756714,
        4.692225024389287,
        4.69224507502186,
        4.69226512565443,
        4.692285176287003,
        4.692305226919576,
        4.692325277552148,
        4.692345328184721,
        4.692365378817293,
        4.692385429449865,
        4.692405480082437,
        4.69242553071501,
        4.692445581347582,
        4.692465631980154,
        4.692485682612727,
        4.692505733245299,
        4.692525783877872,
        4.692545834510444,
        4.692565885143015,
        4.692585935775588,
        4.692605986408161,
        4.692626037040733,
        4.692646087673305,
        4.692666138305877,
        4.692686188938449,
        4.692706239571022,
        4.692726290203595,
        4.692746340836166,
        4.692766391468739,
        4.692786442101312,
        4.692806492733883,
        4.692826543366456,
        4.692846593999028,
        4.6928666446316,
        4.692886695264173,
        4.692906745896746,
        4.692926796529317,
        4.692946847161889,
        4.692966897794462,
        4.692986948427034,
        4.693006999059607,
        4.693027049692179,
        4.693047100324751,
        4.693067150957323,
        4.693087201589895,
        4.693107252222468,
        4.69312730285504,
        4.693147353487612,
        4.693167404120185,
        4.693187454752757,
        4.693207505385329,
        4.693227556017901,
        4.693247606650474,
        4.693267657283046,
        4.693287707915619,
        4.693307758548192,
        4.693327809180762,
        4.693347859813335,
        4.693367910445908,
        4.69338796107848,
        4.693408011711053,
        4.693428062343625,
        4.6934481129761965,
        4.693468163608769,
        4.693488214241342,
        4.693508264873914,
        4.693528315506486,
        4.693548366139059,
        4.693568416771631,
        4.693588467404203,
        4.6936085180367755,
        4.6936285686693475,
        4.6936486193019205,
        4.693668669934493,
        4.693688720567065,
        4.6937087711996375,
        4.6937288218322095,
        4.693748872464782,
        4.6937689230973545,
        4.693788973729927,
        4.693809024362499,
        4.6938290749950715,
        4.693849125627643,
        4.693869176260216,
        4.6938892268927885,
        4.69390927752536,
        4.693929328157933,
        4.6939493787905056,
        4.693969429423078,
        4.69398948005565,
        4.694009530688222,
        4.694029581320794,
        4.694049631953367,
        4.69406968258594,
        4.694089733218511,
        4.694109783851083,
        4.694129834483656,
        4.694149885116228,
        4.694169935748801,
        4.694189986381373,
        4.694210037013945,
        4.694230087646518,
        4.69425013827909,
        4.694270188911662,
        4.694290239544234,
        4.694310290176807,
        4.694330340809379,
        4.694350391441952,
        4.694370442074525,
        4.694390492707095,
        4.694410543339668,
        4.694430593972241,
        4.694450644604813,
        4.694470695237385,
        4.694490745869958,
        4.694510796502529,
        4.694530847135102,
        4.694550897767675,
        4.694570948400246,
        4.694590999032819,
        4.694611049665392,
        4.694631100297964,
        4.694651150930536,
        4.694671201563108,
        4.69469125219568,
        4.694711302828253,
        4.694731353460825,
        4.694751404093398,
        4.694771454725969,
        4.694791505358541,
        4.694811555991114,
        4.694831606623687,
        4.694851657256259,
        4.694871707888831,
        4.694891758521404,
        4.694911809153975,
        4.694931859786548,
        4.69495191041912,
        4.694971961051692,
        4.694992011684265,
        4.695012062316838,
        4.695032112949409,
        4.695052163581981,
        4.695072214214554,
        4.695092264847126,
        4.695112315479699,
        4.695132366112272,
        4.695152416744843,
        4.695172467377415,
        4.695192518009988,
        4.69521256864256,
        4.695232619275133,
        4.695252669907705,
        4.695272720540277,
        4.69529277117285,
        4.695312821805422,
        4.695332872437994,
        4.695352923070566,
        4.695372973703139,
        4.695393024335711,
        4.695413074968284,
        4.6954331256008555,
        4.6954531762334275,
        4.695473226866,
        4.695493277498573,
        4.695513328131145,
        4.6955333787637175,
        4.69555342939629,
        4.6955734800288615,
        4.6955935306614345,
        4.6956135812940065,
        4.695633631926579,
        4.6956536825591515,
        4.6956737331917235,
        4.695693783824296,
        4.6957138344568685,
        4.69573388508944,
        4.695753935722013,
        4.6957739863545855,
        4.695794036987158,
        4.6958140876197305,
        4.695834138252302,
        4.695854188884874,
        4.695874239517447,
        4.69589429015002,
        4.695914340782591,
        4.695934391415164,
        4.695954442047736,
        4.695974492680308,
        4.695994543312881,
        4.696014593945453,
        4.696034644578025,
        4.696054695210598,
        4.696074745843171,
        4.696094796475742,
        4.696114847108314,
        4.696134897740887,
        4.696154948373459,
        4.696174999006032,
        4.696195049638605,
        4.696215100271175,
        4.696235150903748,
        4.696255201536321,
        4.696275252168893,
        4.696295302801465,
        4.696315353434038,
        4.69633540406661,
        4.696355454699182,
        4.696375505331755,
        4.696395555964326,
        4.696415606596899,
        4.696435657229471,
        4.696455707862044,
        4.696475758494617,
        4.696495809127187,
        4.69651585975976,
        4.696535910392333,
        4.696555961024905,
        4.696576011657478,
        4.69659606229005,
        4.696616112922621,
        4.696636163555194,
        4.696656214187767,
        4.696676264820339,
        4.696696315452911,
        4.696716366085484,
        4.696736416718056,
        4.696756467350628,
        4.6967765179832,
        4.696796568615772,
        4.696816619248345,
        4.696836669880918,
        4.69685672051349,
        4.696876771146061,
        4.696896821778634,
        4.696916872411206,
        4.696936923043779,
        4.696956973676352,
        4.696977024308923,
        4.696997074941496,
        4.697017125574068,
        4.69703717620664,
        4.697057226839213,
        4.697077277471785,
        4.697097328104357,
        4.69711737873693,
        4.697137429369503,
        4.697157480002074,
        4.697177530634646,
        4.697197581267219,
        4.697217631899791,
        4.697237682532364,
        4.697257733164936,
        4.6972777837975075,
        4.69729783443008,
        4.6973178850626525,
        4.697337935695225,
        4.697357986327797,
        4.6973780369603695,
        4.697398087592942,
        4.6974181382255145,
        4.6974381888580865,
        4.6974582394906585,
        4.6974782901232315,
        4.6974983407558035,
        4.6975183913883765,
        4.6975384420209485,
        4.69755849265352,
        4.697578543286093,
        4.6975985939186655,
        4.697618644551238,
        4.69763869518381,
        4.6976587458163825,
        4.697678796448954,
        4.697698847081527,
        4.6977188977141,
        4.697738948346671,
        4.697758998979244,
        4.697779049611817,
        4.697799100244388,
        4.697819150876961,
        4.697839201509533,
        4.697859252142105,
        4.697879302774678,
        4.697899353407251,
        4.697919404039823,
        4.697939454672394,
        4.697959505304967,
        4.697979555937539,
        4.697999606570112,
        4.698019657202685,
        4.698039707835256,
        4.698059758467829,
        4.698079809100401,
        4.698099859732973,
        4.698119910365545,
        4.698139960998118,
        4.69816001163069,
        4.698180062263263,
        4.698200112895834,
        4.698220163528406,
        4.698240214160979,
        4.698260264793551,
        4.698280315426124,
        4.698300366058697,
        4.698320416691268,
        4.69834046732384,
        4.698360517956413,
        4.698380568588985,
        4.698400619221558,
        4.69842066985413,
        4.698440720486702,
        4.698460771119274,
        4.698480821751847,
        4.698500872384419,
        4.698520923016991,
        4.698540973649564,
        4.698561024282136,
        4.698581074914709,
        4.69860112554728,
        4.698621176179852,
        4.698641226812425,
        4.698661277444998,
        4.69868132807757,
        4.698701378710142,
        4.698721429342714,
        4.698741479975286,
        4.698761530607859,
        4.698781581240432,
        4.698801631873003,
        4.698821682505576,
        4.698841733138149,
        4.69886178377072,
        4.698881834403293,
        4.698901885035865,
        4.698921935668437,
        4.69894198630101,
        4.698962036933583,
        4.698982087566154,
        4.699002138198726,
        4.699022188831298,
        4.699042239463871,
        4.699062290096444,
        4.699082340729015,
        4.699102391361588,
        4.69912244199416,
        4.6991424926267324,
        4.699162543259305,
        4.699182593891877,
        4.6992026445244495,
        4.699222695157022,
        4.699242745789595,
        4.6992627964221665,
        4.6992828470547385,
        4.6993028976873115,
        4.6993229483198835,
        4.699342998952456,
        4.699363049585029,
        4.6993831002176,
        4.699403150850173,
        4.6994232014827455,
        4.6994432521153175,
        4.69946330274789,
        4.6994833533804625,
        4.699503404013035,
        4.699523454645607,
        4.6995435052781795,
        4.699563555910751,
        4.699583606543324,
        4.699603657175897,
        4.699623707808469,
        4.699643758441041,
        4.699663809073613,
        4.699683859706185,
        4.699703910338758,
        4.699723960971331,
        4.699744011603903,
        4.699764062236475,
        4.699784112869047,
        4.699804163501619,
        4.699824214134192,
        4.699844264766765,
        4.699864315399336,
        4.699884366031909,
        4.69990441666448,
        4.699924467297053,
        4.699944517929625,
        4.699964568562197,
        4.69998461919477,
        4.700004669827343,
        4.700024720459915,
        4.700044771092486,
        4.700064821725059,
        4.700084872357631,
        4.700104922990204,
        4.700124973622777,
        4.700305429315927,
        4.700325479948499,
        4.700345530581071,
        4.700365581213644,
        4.700385631846216,
        4.700405682478789,
        4.700425733111361,
        4.700445783743932,
        4.700465834376505,
        4.700485885009078,
        4.70050593564165,
        4.700525986274222,
        4.700546036906795,
        4.700566087539366,
        4.700586138171939,
        4.700606188804512,
        4.700626239437083,
        4.700646290069656,
        4.700666340702229,
        4.700686391334801,
        4.700706441967373,
        4.700726492599944,
        4.700746543232517,
        4.70076659386509,
        4.700786644497662,
        4.700806695130235,
        4.700826745762807,
        4.700846796395378,
        4.700866847027951,
        4.700886897660524,
        4.700906948293095,
        4.700926998925668,
        4.700947049558241,
        4.700967100190812,
        4.700987150823385,
        4.701007201455957,
        4.7010272520885295,
        4.701047302721102,
        4.701067353353675,
        4.701087403986247,
        4.7011074546188185,
        4.7011275052513914,
        4.7011475558839635,
        4.701167606516536,
        4.701187657149109,
        4.7012077077816805,
        4.7012277584142526,
        4.7012478090468255,
        4.7012678596793975,
        4.70128791031197,
        4.7013079609445425,
        4.7013280115771146,
        4.7013480622096875,
        4.7013681128422595,
        4.701388163474831,
        4.701408214107404,
        4.7014282647399765,
        4.701448315372549,
        4.7014683660051215,
        4.701488416637693,
        4.701508467270265,
        4.701528517902838,
        4.701548568535411,
        4.701568619167983,
        4.701588669800555,
        4.701608720433127,
        4.701628771065699,
        4.701648821698272,
        4.701668872330844,
        4.701688922963416,
        4.701708973595989,
        4.701729024228561,
        4.701749074861133,
        4.701769125493705,
        4.701789176126277,
        4.70180922675885,
        4.701829277391423,
        4.701849328023995,
        4.701869378656567,
        4.701889429289139,
        4.701909479921711,
        4.701929530554284,
        4.701949581186857,
        4.701969631819428,
        4.701989682452001,
        4.702009733084574,
        4.702029783717145,
        4.702049834349718,
        4.70206988498229,
        4.702089935614862,
        4.702109986247435,
        4.702130036880008,
        4.702150087512579,
        4.702170138145151,
        4.702190188777724,
        4.702210239410296,
        4.702230290042869,
        4.702250340675441,
        4.702270391308013,
        4.702290441940585,
        4.702310492573158,
        4.70233054320573,
        4.702350593838302,
        4.702370644470875,
        4.702390695103447,
        4.702410745736019,
        4.702470897633736,
        4.702490948266308,
        4.702510998898881,
        4.702531049531454,
        4.702551100164024,
        4.702571150796597,
        4.70259120142917,
        4.702611252061742,
        4.702631302694314,
        4.702651353326887,
        4.702671403959458,
        4.702691454592031,
        4.702711505224604,
        4.702731555857175,
        4.702751606489748,
        4.702771657122321,
        4.702791707754893,
        4.702811758387465,
        4.702831809020037,
        4.702851859652609,
        4.702871910285182,
        4.702891960917755,
        4.702912011550327,
        4.702932062182899,
        4.702952112815471,
        4.7029721634480435,
        4.702992214080616,
        4.703012264713189,
        4.7030323153457605,
        4.703052365978333,
        4.7030724166109055,
        4.7030924672434775,
        4.70311251787605,
        4.7031325685086225,
        4.7031526191411945,
        4.7031726697737675,
        4.70319272040634,
        4.703212771038911,
        4.703232821671484,
        4.7032528723040565,
        4.703272922936629,
        4.7032929735692015,
        4.703313024201773,
        4.703333074834345,
        4.703353125466918,
        4.70337317609949,
        4.703393226732063,
        4.703413277364635,
        4.703433327997207,
        4.70345337862978,
        4.703473429262352,
        4.703493479894924,
        4.703513530527496,
        4.703533581160069,
        4.703553631792641,
        4.703573682425214,
        4.703593733057786,
        4.703613783690357,
        4.70363383432293,
        4.703653884955503,
        4.703673935588075,
        4.703693986220647,
        4.70371403685322,
        4.703734087485791,
        4.703754138118364,
        4.703774188750937,
        4.703794239383508,
        4.703814290016081,
        4.703834340648654,
        4.703854391281226,
        4.703874441913798,
        4.70389449254637,
        4.703914543178942,
        4.703934593811515,
        4.703954644444088,
        4.70397469507666,
        4.703994745709231,
        4.704014796341804,
        4.704034846974376,
        4.704054897606949,
        4.704074948239521,
        4.704094998872093,
        4.704115049504666,
        4.704135100137238,
        4.70415515076981,
        4.704175201402382,
        4.704195252034954,
        4.704215302667527,
        4.7042353533001,
        4.704255403932671,
        4.704275454565243,
        4.704295505197816,
        4.704315555830388,
        4.704335606462961,
        4.704355657095534,
        4.704375707728105,
        4.704395758360677,
        4.70441580899325,
        4.704435859625822,
        4.704455910258394,
        4.704475960890967,
        4.704496011523539,
        4.704516062156111,
        4.704536112788684,
        4.704556163421255,
        4.704576214053828,
        4.704596264686401,
        4.704616315318973,
        4.704636365951546,
        4.704656416584117,
        4.704676467216689,
        4.704696517849262,
        4.704716568481835,
        4.704736619114407,
        4.704756669746979,
        4.704776720379552,
        4.7047967710121235,
        4.704816821644696,
        4.704836872277269,
        4.7048569229098405,
        4.704876973542413,
        4.704897024174986,
        4.7049170748075575,
        4.7049371254401295,
        4.7049571760727025,
        4.7049772267052745,
        4.7049972773378474,
        4.7050173279704195,
        4.7050373786029915,
        4.705057429235564,
        4.705077479868136,
        4.705097530500709,
        4.7051175811332815,
        4.705137631765853,
        4.705157682398426,
        4.705177733030998,
        4.70519778366357,
        4.705217834296143,
        4.705237884928715,
        4.705257935561287,
        4.70527798619386,
        4.7052980368264326,
        4.705318087459004,
        4.705338138091576,
        4.705358188724149,
        4.705378239356721,
        4.705398289989294,
        4.705418340621866,
        4.705438391254437,
        4.70545844188701,
        4.705478492519583,
        4.705498543152155,
        4.705518593784727,
        4.7055386444173,
        4.705558695049872,
        4.705578745682444,
        4.705598796315017,
        4.705618846947588,
        4.705638897580161,
        4.705658948212734,
        4.705678998845306,
        4.705699049477879,
        4.70571910011045,
        4.705739150743022,
        4.705759201375595,
        4.705779252008168,
        4.705799302640739,
        4.705819353273312,
        4.705839403905884,
        4.705859454538456,
        4.705879505171029,
        4.7058995558036,
        4.705919606436173,
        4.705939657068746,
        4.705959707701318,
        4.70597975833389,
        4.705999808966462,
        4.706019859599034,
        4.706039910231607,
        4.70605996086418,
        4.706080011496752,
        4.706100062129323,
        4.706120112761896,
        4.706140163394468,
        4.706160214027041,
        4.706180264659614,
        4.706200315292185,
        4.706220365924758,
        4.70624041655733,
        4.706260467189902,
        4.706280517822474,
        4.706300568455047,
        4.706320619087619,
        4.706340669720192,
        4.706420872250481,
        4.706440922883053,
        4.706460973515626,
        4.706481024148198,
        4.706501074780769,
        4.706521125413342,
        4.706541176045915,
        4.706561226678487,
        4.706581277311059,
        4.706601327943632,
        4.706621378576204,
        4.706641429208776,
        4.706661479841349,
        4.7066815304739205,
        4.706701581106493,
        4.706721631739065,
        4.706741682371638,
        4.7067617330042095,
        4.706781783636782,
        4.7068018342693545,
        4.706821884901927,
        4.7068419355344995,
        4.7068619861670715,
        4.7068820367996445,
        4.706902087432216,
        4.7069221380647885,
        4.7069421886973615,
        4.706962239329933,
        4.706982289962506,
        4.7070023405950785,
        4.70702239122765,
        4.707042441860223,
        4.707062492492795,
        4.707082543125367,
        4.70710259375794,
        4.7071226443905125,
        4.707142695023085,
        4.707162745655656,
        4.707182796288229,
        4.707202846920801,
        4.707222897553374,
        4.707242948185946,
        4.707262998818518,
        4.70728304945109,
        4.707303100083663,
        4.707323150716235,
        4.707343201348807,
        4.70736325198138,
        4.707383302613952,
        4.707403353246525,
        4.707423403879097,
        4.707443454511668,
        4.707463505144241,
        4.707483555776814,
        4.707503606409386,
        4.707523657041959,
        4.707543707674531,
        4.707563758307102,
        4.707583808939675,
        4.707603859572247,
        4.707623910204819,
        4.707643960837392,
        4.707664011469964,
        4.707684062102536,
        4.707704112735109,
        4.70772416336768,
        4.707744214000253,
        4.707764264632826,
        4.707784315265398,
        4.707804365897971,
        4.707824416530542,
        4.707844467163114,
        4.707864517795687,
        4.70788456842826,
        4.707904619060832,
        4.707924669693404,
        4.707944720325976,
        4.707964770958548,
        4.707984821591121,
        4.708004872223694,
        4.708024922856265,
        4.708044973488838,
        4.708065024121411,
        4.708085074753982,
        4.708105125386554,
        4.708125176019127,
        4.708145226651699,
        4.708165277284272,
        4.708185327916845,
        4.708205378549415,
        4.708225429181988,
        4.708245479814561,
        4.708265530447133,
        4.708285581079706,
        4.708305631712278,
        4.70832568234485,
        4.708345732977422,
        4.708365783609995,
        4.708385834242567,
        4.708405884875139,
        4.708425935507711,
        4.708445986140284,
        4.708466036772857,
        4.708486087405428,
        4.708506138038,
        4.708526188670573,
        4.708546239303145,
        4.708566289935718,
        4.70858634056829,
        4.7086063912008616,
        4.7086264418334345,
        4.708646492466007,
        4.7086665430985795,
        4.7086865937311515,
        4.708706644363724,
        4.7087266949962965,
        4.7087467456288685,
        4.7087667962614415,
        4.708786846894013,
        4.7088068975265855,
        4.7088269481591585,
        4.7088469987917305,
        4.708867049424303,
        4.708887100056875,
        4.708907150689447,
        4.70892720132202,
        4.709167808912887,
        4.70918785954546,
        4.709207910178032,
        4.709227960810605,
        4.709248011443178,
        4.709268062075748,
        4.709288112708321,
        4.709308163340893,
        4.709328213973466,
        4.709348264606039,
        4.70936831523861,
        4.709388365871183,
        4.709408416503755,
        4.709428467136327,
        4.709448517768899,
        4.709468568401472,
        4.709488619034044,
        4.709508669666617,
        4.709528720299189,
        4.70954877093176,
        4.709568821564333,
        4.709588872196906,
        4.709608922829478,
        4.709628973462051,
        4.709649024094623,
        4.709669074727194,
        4.709689125359767,
        4.70970917599234,
        4.709729226624912,
        4.709749277257484,
        4.709769327890057,
        4.709789378522628,
        4.709809429155201,
        4.709829479787774,
        4.709849530420345,
        4.709869581052918,
        4.709889631685491,
        4.709909682318063,
        4.709929732950634,
        4.709949783583207,
        4.709969834215779,
        4.709989884848352,
        4.710009935480925,
        4.710029986113496,
        4.710050036746068,
        4.710070087378641,
        4.710090138011213,
        4.710110188643786,
        4.710130239276358,
        4.71015028990893,
        4.710170340541503,
        4.710190391174074,
        4.710210441806647,
        4.710230492439219,
        4.710250543071791,
        4.710270593704364,
        4.710290644336937,
        4.710310694969509,
        4.71033074560208,
        4.710350796234653,
        4.710370846867225,
        4.710390897499798,
        4.71041094813237,
        4.710430998764942,
        4.7104510493975145,
        4.710471100030087,
        4.710491150662659,
        4.7105112012952315,
        4.710531251927804,
        4.7105513025603765,
        4.710571353192949,
        4.710591403825521,
        4.710611454458093,
        4.7106315050906655,
        4.7106515557232385,
        4.7106716063558105,
        4.710691656988383,
        4.710711707620955,
        4.710731758253527,
        4.7107518088861,
        4.7107718595186725,
        4.710791910151244,
        4.710811960783817,
        4.7108320114163895,
        4.710852062048961,
        4.710872112681534,
        4.710892163314106,
        4.710912213946678,
        4.710932264579251,
        4.710952315211824,
        4.710972365844395,
        4.710992416476967,
        4.711012467109539,
        4.711032517742112,
        4.711052568374685,
        4.711072619007257,
        4.711092669639829,
        4.711112720272401,
        4.711132770904973,
        4.711152821537546,
        4.711172872170119,
        4.71119292280269,
        4.711212973435263,
        4.711233024067836,
        4.711253074700407,
        4.711273125332979,
        4.711293175965552,
        4.711313226598124,
        4.711333277230697,
        4.71135332786327,
        4.71137337849584,
        4.711393429128413,
        4.711413479760986,
        4.711433530393558,
        4.711453581026131,
        4.711473631658703,
        4.711493682291275,
        4.711513732923847,
        4.71153378355642,
        4.711553834188992,
        4.711573884821564,
        4.711593935454137,
        4.711613986086709,
        4.711634036719281,
        4.711654087351854,
        4.711674137984425,
        4.711694188616998,
        4.711714239249571,
        4.711734289882143,
        4.711754340514715,
        4.711774391147287,
        4.711794441779859,
        4.711814492412432,
        4.711834543045004,
        4.711854593677576,
        4.711874644310149,
        4.71189469494272,
        4.711914745575293,
        4.711934796207866,
        4.711954846840437,
        4.71197489747301,
        4.711994948105583,
        4.712014998738155,
        4.712035049370727,
        4.712055100003299,
        4.712075150635871,
        4.712095201268444,
        4.712135302533589,
        4.712155353166161,
        4.712175403798733,
        4.712195454431305,
        4.712215505063878,
        4.71223555569645,
        4.712255606329022,
        4.712275656961595,
        4.712295707594167,
        4.712315758226739,
        4.7123358088593115,
        4.712355859491884,
        4.7123759101244564,
        4.712395960757029,
        4.712416011389602,
        4.712436062022173,
        4.7124561126547455,
        4.712476163287318,
        4.7124962139198905,
        4.712516264552463,
        4.7125363151850355,
        4.712556365817607,
        4.7125764164501796,
        4.7125964670827525,
        4.712616517715324,
        4.712636568347897,
        4.7126566189804695,
        4.7126766696130415,
        4.712696720245614,
        4.712716770878186,
        4.712736821510758,
        4.712756872143331,
        4.712776922775903,
        4.712796973408476,
        4.712817024041047,
        4.712837074673619,
        4.712857125306192,
        4.712877175938765,
        4.712897226571337,
        4.712917277203909,
        4.712937327836482,
        4.712957378469053,
        4.712977429101626,
        4.712997479734199,
        4.71301753036677,
        4.713037580999343,
        4.713057631631916,
        4.713077682264488,
        4.713097732897059,
        4.713117783529632,
        4.713137834162204,
        4.713157884794777,
        4.71317793542735,
        4.713197986059921,
        4.713218036692493,
        4.713238087325066,
        4.713258137957638,
        4.713278188590211,
        4.713298239222783,
        4.713318289855355,
        4.713338340487928,
        4.7133583911205,
        4.713378441753072,
        4.713398492385644,
        4.713418543018217,
        4.713438593650789,
        4.713458644283362,
        4.713478694915934,
        4.713498745548505,
        4.713518796181078,
        4.713538846813651,
        4.713558897446223,
        4.713578948078795,
        4.713598998711367,
        4.713619049343939,
        4.713639099976512,
        4.713659150609084,
        4.713679201241656,
        4.713699251874229,
        4.713719302506801,
        4.713739353139373,
        4.713759403771946,
        4.713779454404517,
        4.71379950503709,
        4.713819555669663,
        4.713839606302235,
        4.713859656934808,
        4.713879707567379,
        4.713899758199951,
        4.713919808832524,
        4.713939859465097,
        4.713959910097669,
        4.713979960730241,
        4.714000011362814,
        4.714020061995385,
        4.714040112627958,
        4.71406016326053,
        4.714080213893102,
        4.714100264525675,
        4.714120315158248,
        4.714140365790819,
        4.7141604164233915,
        4.714180467055964,
        4.714200517688536,
        4.714220568321109,
        4.714240618953682,
        4.7142606695862534,
        4.7142807202188255,
        4.714300770851398,
        4.7143208214839705,
        4.714340872116543,
        4.7143609227491154,
        4.7143809733816875,
        4.7144010240142595,
        4.714421074646832,
        4.714441125279404,
        4.7144611759119766,
        4.714481226544549,
        4.7145012771771215,
        4.7145213278096945,
        4.714541378442265,
        4.714561429074838,
        4.714581479707411,
        4.714601530339983,
        4.714621580972556,
        4.714641631605128,
        4.714661682237699,
        4.714681732870272,
        4.714701783502845,
        4.714721834135417,
        4.714741884767989,
        4.714761935400562,
        4.714781986033134,
        4.714802036665706,
        4.714822087298279,
        4.71484213793085,
        4.714962441726284,
        4.714982492358857,
        4.71500254299143,
        4.715022593624001,
        4.715042644256574,
        4.715062694889146,
        4.715082745521718,
        4.715102796154291,
        4.715122846786863,
        4.715142897419435,
        4.715162948052008,
        4.715182998684581,
        4.715203049317152,
        4.715223099949724,
        4.715243150582296,
        4.715263201214869,
        4.715283251847442,
        4.715303302480014,
        4.715323353112585,
        4.715343403745158,
        4.71536345437773,
        4.715383505010303,
        4.715403555642875,
        4.715423606275447,
        4.71544365690802,
        4.715463707540592,
        4.715483758173164,
        4.715503808805736,
        4.715523859438309,
        4.715543910070881,
        4.715563960703454,
        4.715584011336026,
        4.715604061968597,
        4.71562411260117,
        4.715644163233743,
        4.715664213866315,
        4.715684264498888,
        4.71570431513146,
        4.715724365764031,
        4.715744416396604,
        4.715764467029177,
        4.715784517661748,
        4.715804568294321,
        4.715824618926894,
        4.715844669559466,
        4.715864720192038,
        4.71588477082461,
        4.715904821457182,
        4.715924872089755,
        4.715944922722328,
        4.7159649733549,
        4.715985023987471,
        4.716005074620044,
        4.716025125252616,
        4.716045175885189,
        4.716065226517762,
        4.716085277150333,
        4.716105327782906,
        4.716125378415478,
        4.7161454290480505,
        4.716165479680623,
        4.7161855303131945,
        4.7162055809457675,
        4.71622563157834,
        4.716245682210912,
        4.716265732843484,
        4.7162857834760565,
        4.716305834108629,
        4.7163258847412015,
        4.7163459353737744,
        4.716365986006346,
        4.716386036638918,
        4.716406087271491,
        4.716426137904063,
        4.7164461885366356,
        4.716466239169208,
        4.71648628980178,
        4.716506340434352,
        4.716526391066925,
        4.716546441699497,
        4.716566492332069,
        4.71666674549493,
        4.716686796127503,
        4.716706846760076,
        4.716726897392648,
        4.71674694802522,
        4.716766998657793,
        4.716787049290364,
        4.716807099922937,
        4.71682715055551,
        4.716847201188081,
        4.716867251820654,
        4.716887302453227,
        4.716907353085798,
        4.716927403718371,
        4.716947454350943,
        4.716967504983515,
        4.716987555616088,
        4.71700760624866,
        4.717027656881233,
        4.717047707513804,
        4.717067758146376,
        4.717087808778949,
        4.71744872016525,
        4.717468770797823,
        4.717488821430395,
        4.717508872062968,
        4.71752892269554,
        4.717548973328112,
        4.717569023960684,
        4.717589074593257,
        4.717609125225828,
        4.717629175858401,
        4.717649226490974,
        4.717669277123546,
        4.717689327756119,
        4.71770937838869,
        4.717729429021262,
        4.717749479653835,
        4.717769530286408,
        4.71778958091898,
        4.717809631551552,
        4.717829682184124,
        4.717849732816696,
        4.718070289774992,
        4.718090340407564,
        4.7181103910401365,
        4.718130441672709,
        4.7181504923052815,
        4.718170542937854,
        4.718190593570426,
        4.7182106442029985,
        4.718230694835571,
        4.718250745468143,
        4.7182707961007155,
        4.718290846733288,
        4.71831089736586,
        4.718330947998433,
        4.718350998631005,
        4.718371049263577,
        4.718391099896149,
        4.718411150528722,
        4.718431201161294,
        4.718451251793867,
        4.7184713024264395,
        4.71849135305901,
        4.718511403691583,
        4.718531454324156,
        4.718551504956728,
        4.7185715555893,
        4.718591606221873,
        4.718611656854445,
        4.718631707487017,
        4.71865175811959,
        4.718671808752161,
        4.718691859384734,
        4.718711910017306,
        4.718731960649879,
        4.718752011282451,
        4.718772061915022,
        4.718792112547595,
        4.718812163180168,
        4.71883221381274,
        4.718852264445313,
        4.718872315077885,
        4.718892365710456,
        4.718912416343029,
        4.718932466975602,
        4.718952517608173,
        4.718972568240746,
        4.718992618873319,
        4.71901266950589,
        4.719032720138463,
        4.719052770771035,
        4.719072821403607,
        4.71909287203618,
        4.719112922668753,
        4.719132973301325,
        4.719153023933896,
        4.719173074566469,
        4.719193125199041,
        4.719213175831614,
        4.719233226464187,
        4.719253277096758,
        4.71927332772933,
        4.719293378361903,
        4.719313428994475,
        4.719333479627048,
        4.71935353025962,
        4.719373580892192,
        4.719393631524765,
        4.719413682157337,
        4.719433732789908,
        4.719453783422481,
        4.719473834055054,
        4.719493884687626,
        4.719513935320199,
        4.719533985952771,
        4.719554036585342,
        4.719574087217915,
        4.719594137850487,
        4.71961418848306,
        4.719634239115632,
        4.719654289748204,
        4.719674340380776,
        4.719694391013349,
        4.719714441645921,
        4.719734492278493,
        4.719754542911066,
        4.719774593543638,
        4.719794644176211,
        4.719814694808783,
        4.7198347454413545,
        4.719854796073927,
        4.7198748467065,
        4.719894897339072,
        4.7199149479716445,
        4.7199349986042165,
        4.7199550492367885,
        4.7199750998693615,
        4.719995150501934,
        4.720015201134506,
        4.7200352517670785,
        4.720055302399651,
        4.720075353032223,
        4.7200954036647955,
        4.720115454297368,
        4.72013550492994,
        4.7201555555625125,
        4.7201756061950855,
        4.720195656827657,
        4.720215707460229,
        4.720235758092802,
        4.720255808725374,
        4.720275859357947,
        4.7202959099905195,
        4.720315960623091,
        4.720336011255663,
        4.720356061888236,
        4.720376112520808,
        4.72039616315338,
        4.720416213785952,
        4.720436264418525,
        4.720456315051098,
        4.720476365683669,
        4.720496416316241,
        4.720516466948814,
        4.720536517581386,
        4.720556568213959,
        4.720576618846532,
        4.720596669479102,
        4.720616720111675,
        4.720636770744248,
        4.72065682137682,
        4.720676872009393,
        4.720696922641965,
        4.720716973274537,
        4.720737023907109,
        4.720757074539682,
        4.720777125172253,
        4.720797175804826,
        4.720817226437399,
        4.720837277069971,
        4.720857327702543,
        4.720877378335115,
        4.720897428967687,
        4.72091747960026,
        4.720937530232833,
        4.720957580865405,
        4.720977631497977,
        4.720997682130549,
        4.721017732763121,
        4.721037783395694,
        4.721057834028267,
        4.721077884660838,
        4.721097935293411,
        4.721117985925983,
        4.721138036558555,
        4.721158087191128,
        4.7211781378237,
        4.721198188456272,
        4.721218239088845,
        4.721238289721418,
        4.721258340353988,
        4.721278390986561,
        4.721298441619134,
        4.721318492251706,
        4.721338542884279,
        4.72135859351685,
        4.721378644149423,
        4.721398694781995,
        4.721418745414567,
        4.72143879604714,
        4.721458846679712,
        4.721478897312284,
        4.721498947944857,
        4.721518998577429,
        4.721539049210001,
        4.721559099842573,
        4.721579150475146,
        4.721599201107718,
        4.721619251740291,
        4.721639302372864,
        4.7216593530054345,
        4.721679403638007,
        4.72169945427058,
        4.721719504903152,
        4.721739555535724,
        4.721759606168297,
        4.7217796568008685,
        4.7217997074334415,
        4.721819758066014,
        4.7218398086985855,
        4.7218598593311585,
        4.721879909963731,
        4.7218999605963035,
        4.7219200112288755,
        4.7219400618614475,
        4.72196011249402,
        4.7219801631265925,
        4.7220002137591655,
        4.7220202643917375,
        4.722040315024309,
        4.722060365656882,
        4.722080416289454,
        4.722100466922027,
        4.7221205175545995,
        4.722140568187171,
        4.722160618819744,
        4.722180669452315,
        4.722200720084888,
        4.72222077071746,
        4.722240821350032,
        4.722260871982605,
        4.722280922615178,
        4.722300973247749,
        4.722321023880321,
        4.722341074512894,
        4.722361125145466,
        4.722381175778039,
        4.722401226410612,
        4.722421277043183,
        4.722441327675755,
        4.722461378308328,
        4.7224814289409,
        4.722501479573473,
        4.722521530206045,
        4.722541580838617,
        4.72256163147119,
        4.722581682103762,
        4.722601732736333,
        4.722621783368906,
        4.722641834001479,
        4.722661884634051,
        4.722681935266624,
        4.722701985899195,
        4.722722036531767,
        4.72274208716434,
        4.722762137796913,
        4.722782188429485,
        4.722802239062057,
        4.72282228969463,
        4.722842340327201,
        4.722862390959774,
        4.722882441592347,
        4.722902492224918,
        4.722922542857491,
        4.722942593490064,
        4.722962644122635,
        4.722982694755208,
        4.723002745387779,
        4.723022796020352,
        4.723042846652925,
        4.723062897285497,
        4.723082947918069,
        4.723102998550641,
        4.723123049183213,
        4.723143099815786,
        4.723163150448359,
        4.72318320108093,
        4.723203251713503,
        4.723223302346076,
        4.723243352978647,
        4.72326340361122,
        4.723283454243792,
        4.723303504876364,
        4.723323555508937,
        4.72334360614151,
        4.723363656774081,
        4.723383707406653,
        4.723403758039226,
        4.723423808671798,
        4.723443859304371,
        4.723463909936944,
        4.723483960569515,
        4.723504011202087,
        4.72352406183466,
        4.723544112467232,
        4.723564163099804,
        4.723584213732377,
        4.723604264364949,
        4.7236243149975214,
        4.723644365630094,
        4.7236644162626655,
        4.7236844668952385,
        4.723704517527811,
        4.723724568160383,
        4.723744618792956,
        4.7237646694255275,
        4.7237847200581,
        4.7238047706906725,
        4.7238248213232445,
        4.7238448719558175,
        4.7238649225883895,
        4.723884973220961,
        4.723905023853534,
        4.7239250744861065,
        4.723945125118678,
        4.723965175751251,
        4.723985226383824,
        4.724005277016396,
        4.724025327648968,
        4.72404537828154,
        4.724065428914112,
        4.724085479546685,
        4.724105530179258,
        4.72412558081183,
        4.724145631444402,
        4.724165682076974,
        4.724185732709546,
        4.724205783342119,
        4.724225833974692,
        4.724245884607263,
        4.724265935239836,
        4.724285985872408,
        4.72430603650498,
        4.724326087137553,
        4.724346137770125,
        4.724366188402697,
        4.72438623903527,
        4.724406289667843,
        4.724426340300413,
        4.724446390932986,
        4.724466441565559,
        4.724486492198131,
        4.724506542830704,
        4.724526593463276,
        4.724546644095847,
        4.72456669472842,
        4.724586745360993,
        4.724606795993565,
        4.724626846626137,
        4.72464689725871,
        4.724666947891282,
        4.724686998523854,
        4.724707049156427,
        4.724727099788998,
        4.724747150421571,
        4.724767201054143,
        4.724787251686716,
        4.724807302319288,
        4.724827352951859,
        4.724847403584432,
        4.724867454217005,
        4.724887504849577,
        4.724907555482149,
        4.724927606114722,
        4.724947656747293,
        4.724967707379866,
        4.724987758012439,
        4.72500780864501,
        4.725027859277583,
        4.725047909910156,
        4.725067960542727,
        4.7250880111753,
        4.725108061807872,
        4.725128112440444,
        4.725148163073017,
        4.72516821370559,
        4.725188264338162,
        4.725208314970733,
        4.725228365603306,
        4.725248416235878,
        4.725268466868451,
        4.725288517501024,
        4.725308568133595,
        4.725328618766168,
        4.72534866939874,
        4.725368720031312,
        4.725388770663884,
        4.725408821296457,
        4.725428871929029,
        4.725448922561602,
        4.725468973194174,
        4.7254890238267455,
        4.7255090744593184,
        4.725529125091891,
        4.725549175724463,
        4.725569226357036,
        4.7255892769896075,
        4.72560932762218,
        4.7256293782547525,
        4.7256494288873245,
        4.7256694795198975,
        4.7256895301524695,
        4.7257095807850416,
        4.725729631417614,
        4.7257496820501865,
        4.725769732682758,
        4.725789783315331,
        4.7258098339479035,
        4.725829884580476,
        4.7258499352130485,
        4.72586998584562,
        4.725890036478192,
        4.725910087110765,
        4.725930137743338,
        4.72595018837591,
        4.725970239008482,
        4.725990289641055,
        4.726010340273626,
        4.726030390906199,
        4.726050441538772,
        4.726070492171343,
        4.726090542803916,
        4.726110593436489,
        4.72613064406906,
        4.726150694701633,
        4.726170745334205,
        4.726190795966777,
        4.72621084659935,
        4.726230897231923,
        4.726250947864494,
        4.726270998497066,
        4.726291049129639,
        4.726311099762211,
        4.726331150394784,
        4.726351201027356,
        4.726371251659928,
        4.7263913022925,
        4.726411352925072,
        4.726431403557645,
        4.726451454190217,
        4.726471504822789,
        4.726491555455362,
        4.726511606087935,
        4.726531656720506,
        4.726551707353078,
        4.726571757985651,
        4.726591808618223,
        4.726611859250796,
        4.726631909883369,
        4.726651960515939,
        4.726672011148512,
        4.726692061781085,
        4.726712112413657,
        4.726732163046229,
        4.726752213678802,
        4.726772264311374,
        4.726792314943946,
        4.726812365576519,
        4.72683241620909,
        4.726852466841663,
        4.726872517474236,
        4.726892568106808,
        4.727093074432531,
        4.727113125065104,
        4.727133175697675,
        4.727153226330248,
        4.727173276962821,
        4.727193327595392,
        4.727213378227964,
        4.727233428860537,
        4.727253479493109,
        4.727273530125682,
        4.727293580758255,
        4.7273136313908255,
        4.727333682023398,
        4.7273537326559705,
        4.727373783288543,
        4.727393833921116,
        4.7274138845536875,
        4.72743393518626,
        4.7274539858188325,
        4.7274740364514045,
        4.7274940870839774,
        4.7275141377165495,
        4.7275341883491215,
        4.7275542389816945,
        4.7275742896142665,
        4.727594340246838,
        4.727614390879411,
        4.7276344415119835,
        4.727654492144556,
        4.7276745427771285,
        4.7276945934097006,
        4.727714644042272,
        4.727734694674845,
        4.727754745307418,
        4.72777479593999,
        4.727794846572562,
        4.727814897205135,
        4.727834947837706,
        4.727854998470279,
        4.727875049102852,
        4.727895099735423,
        4.727915150367996,
        4.727935201000569,
        4.727955251633141,
        4.727975302265713,
        4.727995352898285,
        4.728015403530857,
        4.72803545416343,
        4.728055504796003,
        4.728075555428574,
        4.728095606061147,
        4.728697125038316,
        4.728717175670888,
        4.728737226303461,
        4.728757276936033,
        4.728777327568604,
        4.728797378201177,
        4.72881742883375,
        4.728837479466322,
        4.728857530098894,
        4.728877580731467,
        4.728897631364038,
        4.728917681996611,
        4.728937732629183,
        4.728957783261755,
        4.728977833894328,
        4.7289978845269,
        4.729017935159473,
        4.729037985792044,
        4.729058036424616,
        4.729078087057189,
        4.729098137689762,
        4.729118188322334,
        4.729138238954906,
        4.729158289587478,
        4.7291783402200505,
        4.729198390852623,
        4.729218441485196,
        4.7292384921177675,
        4.72925854275034,
        4.729278593382913,
        4.7292986440154845,
        4.729318694648057,
        4.7293387452806295,
        4.7293587959132015,
        4.7293788465457745,
        4.729398897178347,
        4.729418947810918,
        4.729438998443491,
        4.7294590490760635,
        4.729479099708636,
        4.7294991503412085,
        4.7295192009737805,
        4.729539251606353,
        4.729559302238925,
        4.7295793528714976,
        4.72959940350407,
        4.729779859197221,
        4.729799909829794,
        4.729819960462364,
        4.729840011094937,
        4.72986006172751,
        4.729880112360082,
        4.729900162992654,
        4.729920213625227,
        4.729940264257799,
        4.729960314890371,
        4.729980365522944,
        4.730000416155515,
        4.730020466788088,
        4.730040517420661,
        4.730060568053233,
        4.730080618685805,
        4.730100669318377,
        4.730120719950949,
        4.730140770583522,
        4.730160821216095,
        4.730180871848667,
        4.730200922481239,
        4.730220973113811,
        4.730241023746383,
        4.730261074378956,
        4.730281125011529,
        4.7303011756441,
        4.730321226276673,
        4.730341276909245,
        4.730361327541817,
        4.730381378174389,
        4.730401428806962,
        4.730421479439534,
        4.730441530072107,
        4.73046158070468,
        4.73048163133725,
        4.730501681969823,
        4.730521732602396,
        4.730541783234968,
        4.730561833867541,
        4.730581884500113,
        4.730601935132684,
        4.730621985765257,
        4.73064203639783,
        4.730662087030402,
        4.730682137662974,
        4.730702188295547,
        4.730722238928119,
        4.730742289560691,
        4.730762340193262,
        4.730782390825835,
        4.730802441458408,
        4.73082249209098,
        4.730842542723553,
        4.730862593356125,
        4.730882643988696,
        4.730902694621269,
        4.730922745253842,
        4.730942795886414,
        4.730962846518986,
        4.730982897151559,
        4.73100294778413,
        4.731022998416703,
        4.731043049049276,
        4.7310630996818475,
        4.73108315031442,
        4.731103200946993,
        4.7311633528447095,
        4.7311834034772815,
        4.731203454109854,
        4.731223504742427,
        4.7312435553749985,
        4.731263606007571,
        4.7312836566401435,
        4.7313037072727155,
        4.7313237579052885,
        4.7313438085378605,
        4.731363859170433,
        4.7313839098030055,
        4.7314039604355775,
        4.73142401106815,
        4.731444061700722,
        4.731464112333295,
        4.731484162965867,
        4.7315042135984395,
        4.7315242642310125,
        4.731544314863583,
        4.731564365496156,
        4.731584416128728,
        4.731604466761301,
        4.731624517393874,
        4.731644568026445,
        4.731664618659017,
        4.73168466929159,
        4.731704719924162,
        4.731724770556734,
        4.731744821189307,
        4.731764871821879,
        4.731784922454452,
        4.731804973087024,
        4.731825023719595,
        4.731845074352168,
        4.731865124984741,
        4.731885175617313,
        4.731905226249886,
        4.731925276882457,
        4.731945327515029,
        4.731965378147602,
        4.731985428780175,
        4.732005479412747,
        4.732025530045319,
        4.732045580677892,
        4.732065631310463,
        4.732085681943036,
        4.732105732575608,
        4.73212578320818,
        4.732145833840753,
        4.732165884473326,
        4.732185935105897,
        4.732205985738469,
        4.732226036371042,
        4.732246087003614,
        4.732266137636187,
        4.73228618826876,
        4.732306238901331,
        4.732326289533903,
        4.732346340166476,
        4.732366390799048,
        4.732386441431621,
        4.732406492064192,
        4.732426542696765,
        4.732446593329338,
        4.732466643961909,
        4.732486694594482,
        4.732506745227054,
        4.732526795859626,
        4.732546846492199,
        4.732566897124772,
        4.732586947757342,
        4.732606998389915,
        4.732627049022488,
        4.73264709965506,
        4.732667150287633,
        4.732687200920205,
        4.732707251552777,
        4.732727302185349,
        4.732747352817922,
        4.732767403450494,
        4.732787454083066,
        4.732807504715639,
        4.732827555348211,
        4.732847605980783,
        4.732867656613356,
        4.7328877072459274,
        4.7329077578785,
        4.732927808511073,
        4.732947859143645,
        4.732967909776218,
        4.732987960408789,
        4.7330080110413615,
        4.733028061673934,
        4.733048112306507,
        4.7330681629390785,
        4.733088213571651,
        4.7331082642042235,
        4.7331283148367955,
        4.7331483654693685,
        4.7331684161019405,
        4.7331884667345125,
        4.7332085173670855,
        4.733228567999658,
        4.73324861863223,
        4.733268669264802,
        4.733288719897374,
        4.733308770529947,
        4.7333288211625195,
        4.733348871795092,
        4.733368922427663,
        4.733388973060236,
        4.733409023692808,
        4.733429074325381,
        4.733449124957954,
        4.733469175590525,
        4.733489226223098,
        4.73350927685567,
        4.733529327488242,
        4.733549378120814,
        4.733569428753387,
        4.733589479385959,
        4.733609530018532,
        4.733629580651105,
        4.733649631283675,
        4.733669681916248,
        4.733689732548821,
        4.733709783181393,
        4.733729833813966,
        4.733749884446538,
        4.733769935079109,
        4.733789985711682,
        4.733810036344255,
        4.733830086976827,
        4.733850137609399,
        4.733870188241972,
        4.733890238874544,
        4.733910289507116,
        4.733930340139688,
        4.73395039077226,
        4.733970441404833,
        4.733990492037406,
        4.734010542669978,
        4.734030593302549,
        4.734050643935122,
        4.734070694567694,
        4.734090745200267,
        4.73411079583284,
        4.734130846465411,
        4.734150897097984,
        4.734170947730555,
        4.734190998363128,
        4.734211048995701,
        4.734231099628272,
        4.734251150260845,
        4.734271200893418,
        4.734291251525989,
        4.734311302158562,
        4.734331352791134,
        4.734351403423706,
        4.734371454056279,
        4.734391504688852,
        4.734411555321423,
        4.734431605953995,
        4.734451656586568,
        4.73447170721914,
        4.734491757851713,
        4.734511808484285,
        4.734531859116857,
        4.73455190974943,
        4.734571960382002,
        4.734592011014574,
        4.734612061647146,
        4.734632112279719,
        4.734652162912291,
        4.734672213544864,
        4.734692264177436,
        4.734712314810007,
        4.73473236544258,
        4.734752416075153,
        4.734772466707725,
        4.734792517340298,
        4.73481256797287,
        4.7348326186054415,
        4.734852669238014,
        4.734872719870587,
        4.7348927705031585,
        4.734912821135731,
        4.734932871768304,
        4.7349529224008755,
        4.734972973033448,
        4.73499302366602,
        4.7350130742985925,
        4.7350331249311655,
        4.7350531755637375,
        4.73507322619631,
        4.735093276828882,
        4.735113327461454,
        4.735133378094027,
        4.7351534287265995,
        4.7351734793591715,
        4.735193529991744,
        4.7352135806243165,
        4.735233631256888,
        4.735253681889461,
        4.7352737325220335,
        4.735293783154605,
        4.735313833787178,
        4.735333884419751,
        4.735353935052322,
        4.735373985684894,
        4.735394036317467,
        4.735414086950039,
        4.735434137582612,
        4.735454188215185,
        4.735474238847756,
        4.735494289480328,
        4.735514340112901,
        4.735534390745473,
        4.735554441378046,
        4.735574492010618,
        4.73559454264319,
        4.735614593275762,
        4.735634643908335,
        4.735654694540907,
        4.735674745173479,
        4.735694795806052,
        4.735714846438624,
        4.735734897071197,
        4.735754947703768,
        4.73577499833634,
        4.735795048968913,
        4.735815099601486,
        4.735835150234058,
        4.73585520086663,
        4.735875251499202,
        4.735895302131774,
        4.735915352764347,
        4.735935403396919,
        4.735955454029491,
        4.735975504662064,
        4.735995555294636,
        4.736015605927208,
        4.736035656559781,
        4.736055707192352,
        4.736236162885503,
        4.736256213518076,
        4.736276264150648,
        4.73629631478322,
        4.736316365415793,
        4.736336416048365,
        4.736356466680937,
        4.73637651731351,
        4.736396567946083,
        4.736416618578654,
        4.736436669211226,
        4.736456719843799,
        4.736476770476371,
        4.736496821108944,
        4.736516871741517,
        4.736536922374087,
        4.73655697300666,
        4.736577023639233,
        4.736597074271805,
        4.736617124904378,
        4.73663717553695,
        4.736657226169522,
        4.736677276802094,
        4.736697327434667,
        4.7367173780672385,
        4.736737428699811,
        4.7367574793323834,
        4.736777529964956,
        4.736797580597528,
        4.7368176312301,
        4.7368376818626725,
        4.736857732495245,
        4.7368777831278175,
        4.73689783376039,
        4.7369178843929625,
        4.736937935025534,
        4.7369579856581066,
        4.7369780362906795,
        4.7369980869232515,
        4.737018137555824,
        4.7370381881883965,
        4.737058238820968,
        4.737078289453541,
        4.737098340086113,
        4.737118390718685,
        4.737138441351258,
        4.7371584919838305,
        4.737178542616403,
        4.737198593248974,
        4.737218643881547,
        4.737238694514119,
        4.737258745146692,
        4.737278795779265,
        4.737298846411836,
        4.737318897044409,
        4.737338947676981,
        4.737358998309553,
        4.737379048942126,
        4.737399099574698,
        4.73741915020727,
        4.737439200839843,
        4.737459251472415,
        4.737479302104987,
        4.737499352737559,
        4.737519403370132,
        4.737539454002704,
        4.737559504635277,
        4.737579555267848,
        4.73759960590042,
        4.737619656532993,
        4.737639707165565,
        4.737659757798138,
        4.73767980843071,
        4.737699859063282,
        4.737719909695854,
        4.737739960328427,
        4.737760010960999,
        4.737780061593571,
        4.737800112226144,
        4.737820162858716,
        4.737840213491289,
        4.737860264123861,
        4.737880314756432,
        4.737900365389005,
        4.737920416021578,
        4.73794046665415,
        4.737960517286723,
        4.737980567919295,
        4.738000618551866,
        4.738020669184439,
        4.738040719817012,
        4.738060770449583,
        4.738080821082156,
        4.738100871714729,
        4.7381209223473,
        4.738140972979873,
        4.738161023612445,
        4.738181074245017,
        4.73820112487759,
        4.738221175510163,
        4.738241226142735,
        4.738261276775306,
        4.738281327407879,
        4.738301378040451,
        4.738321428673024,
        4.738341479305597,
        4.738361529938168,
        4.73838158057074,
        4.738401631203312,
        4.738421681835885,
        4.738441732468458,
        4.738461783101029,
        4.738481833733602,
        4.738501884366175,
        4.738521934998746,
        4.7385419856313185,
        4.738562036263891,
        4.738582086896463,
        4.738602137529036,
        4.738622188161609,
        4.73864223879418,
        4.7386622894267525,
        4.738682340059325,
        4.7387023906918975,
        4.73872244132447,
        4.7387424919570424,
        4.7387625425896145,
        4.7387825932221865,
        4.7388026438547595,
        4.7388226944873315,
        4.7388427451199036,
        4.7388627957524765,
        4.7388828463850485,
        4.738902897017621,
        4.738922947650193,
        4.738942998282765,
        4.738963048915338,
        4.7389830995479105,
        4.739003150180483,
        4.739023200813055,
        4.739043251445627,
        4.739063302078199,
        4.739083352710772,
        4.739103403343345,
        4.739123453975916,
        4.739143504608489,
        4.739163555241062,
        4.739183605873633,
        4.739203656506206,
        4.739223707138778,
        4.73924375777135,
        4.739263808403923,
        4.739283859036496,
        4.739303909669067,
        4.739323960301639,
        4.739344010934211,
        4.739364061566784,
        4.739384112199357,
        4.739404162831928,
        4.739424213464501,
        4.739444264097073,
        4.739464314729645,
        4.739484365362218,
        4.73950441599479,
        4.739524466627362,
        4.739544517259935,
        4.739564567892507,
        4.739584618525079,
        4.739604669157651,
        4.739624719790224,
        4.739644770422796,
        4.739664821055369,
        4.739684871687942,
        4.739704922320512,
        4.739724972953085,
        4.739745023585658,
        4.73976507421823,
        4.739785124850803,
        4.739805175483375,
        4.739825226115946,
        4.739845276748519,
        4.739865327381092,
        4.739885378013663,
        4.739905428646236,
        4.739925479278809,
        4.739945529911381,
        4.739965580543953,
        4.739985631176525,
        4.740005681809097,
        4.74002573244167,
        4.740045783074243,
        4.740065833706815,
        4.740085884339387,
        4.740105934971959,
        4.740125985604531,
        4.740146036237104,
        4.740166086869676,
        4.740186137502248,
        4.740206188134821,
        4.740226238767392,
        4.740246289399965,
        4.740266340032538,
        4.740286390665109,
        4.740306441297682,
        4.740326491930255,
        4.740346542562827,
        4.740366593195398,
        4.740386643827971,
        4.740406694460543,
        4.740426745093116,
        4.740446795725689,
        4.74046684635826,
        4.7404868969908325,
        4.740506947623405,
        4.7405269982559775,
        4.74054704888855,
        4.740567099521122,
        4.7405871501536945,
        4.740607200786267,
        4.7406272514188394,
        4.7406473020514115,
        4.7406673526839835,
        4.7406874033165565,
        4.7407074539491285,
        4.7407275045817014,
        4.7407475552142735,
        4.740767605846845,
        4.740787656479418,
        4.7408077071119905,
        4.7408277577445626,
        4.740847808377135,
        4.7408678590097075,
        4.740887909642279,
        4.740907960274852,
        4.7409280109074246,
        4.740948061539996,
        4.740968112172569,
        4.740988162805141,
        4.741008213437714,
        4.741028264070286,
        4.741048314702857,
        4.74106836533543,
        4.741088415968003,
        4.741108466600575,
        4.741128517233148,
        4.741148567865719,
        4.741168618498291,
        4.741188669130864,
        4.741208719763437,
        4.741228770396008,
        4.741248821028581,
        4.741268871661154,
        4.741288922293725,
        4.741308972926298,
        4.74132902355887,
        4.741349074191442,
        4.741369124824015,
        4.741389175456588,
        4.741409226089159,
        4.741429276721731,
        4.741449327354304,
        4.741469377986876,
        4.741489428619449,
        4.741509479252022,
        4.741529529884593,
        4.741549580517165,
        4.741569631149738,
        4.74158968178231,
        4.741609732414883,
        4.741629783047455,
        4.741649833680027,
        4.741669884312599,
        4.741689934945172,
        4.741709985577743,
        4.741730036210316,
        4.741750086842889,
        4.741770137475461,
        4.741790188108034,
        4.741810238740604,
        4.741830289373177,
        4.74185034000575,
        4.741870390638322,
        4.741890441270895,
        4.741910491903467,
        4.741930542536039,
        4.741950593168611,
        4.741970643801184,
        4.741990694433756,
        4.742010745066328,
        4.742030795698901,
        4.742050846331473,
        4.742070896964045,
        4.742090947596617,
        4.742110998229189,
        4.742131048861762,
        4.742151099494335,
        4.742171150126907,
        4.742191200759479,
        4.742211251392051,
        4.742231302024623,
        4.742251352657196,
        4.742271403289769,
        4.74229145392234,
        4.742311504554913,
        4.742331555187485,
        4.742351605820057,
        4.74237165645263,
        4.742391707085202,
        4.7424117577177745,
        4.742431808350347,
        4.74245185898292,
        4.7424719096154915,
        4.7424919602480635,
        4.7425120108806365,
        4.7425320615132085,
        4.742552112145781,
        4.7425721627783535,
        4.742592213410925,
        4.7426924665737875,
        4.74271251720636,
        4.742732567838932,
        4.742752618471504,
        4.742772669104076,
        4.742792719736649,
        4.742812770369221,
        4.742832821001794,
        4.7428528716343665,
        4.742872922266937,
        4.74289297289951,
        4.742913023532083,
        4.742933074164655,
        4.742953124797228,
        4.7429731754298,
        4.742993226062371,
        4.743013276694944,
        4.743033327327517,
        4.743053377960088,
        4.743073428592661,
        4.743093479225234,
        4.743113529857806,
        4.743133580490378,
        4.74315363112295,
        4.743173681755522,
        4.743193732388095,
        4.743213783020668,
        4.74323383365324,
        4.743253884285811,
        4.743273934918384,
        4.743293985550956,
        4.743314036183529,
        4.743334086816102,
        4.743354137448673,
        4.743374188081246,
        4.743394238713818,
        4.74341428934639,
        4.743434339978963,
        4.743454390611535,
        4.743474441244107,
        4.74349449187668,
        4.743514542509253,
        4.743534593141823,
        4.743554643774396,
        4.743574694406968,
        4.743594745039541,
        4.743614795672114,
        4.743634846304685,
        4.743654896937257,
        4.74367494756983,
        4.743694998202402,
        4.743715048834975,
        4.743735099467547,
        4.743755150100119,
        4.743775200732692,
        4.743795251365264,
        4.743815301997836,
        4.743835352630408,
        4.743855403262981,
        4.743875453895553,
        4.743895504528126,
        4.743915555160697,
        4.743935605793269,
        4.743955656425842,
        4.743975707058415,
        4.743995757690987,
        4.744015808323559,
        4.744035858956132,
        4.744055909588703,
        4.744075960221276,
        4.744096010853849,
        4.74411606148642,
        4.744136112118993,
        4.744156162751566,
        4.744176213384137,
        4.74419626401671,
        4.744216314649282,
        4.744236365281854,
        4.7443165678121435,
        4.744336618444716,
        4.7443566690772885,
        4.744376719709861,
        4.7443967703424335,
        4.7444168209750055,
        4.7444368716075775,
        4.74445692224015,
        4.7444769728727225,
        4.744497023505295,
        4.744517074137867,
        4.7445371247704395,
        4.7445571754030125,
        4.744577226035584,
        4.744597276668156,
        4.744617327300729,
        4.744637377933301,
        4.744657428565874,
        4.7446774791984465,
        4.744697529831018,
        4.74471758046359,
        4.744737631096163,
        4.74505844121732,
        4.745078491849892,
        4.745098542482464,
        4.745118593115036,
        4.745138643747609,
        4.745158694380182,
        4.745178745012753,
        4.745198795645326,
        4.745218846277899,
        4.74523889691047,
        4.745258947543042,
        4.745278998175614,
        4.745659960194488,
        4.745680010827061,
        4.745700061459633,
        4.745720112092206,
        4.745740162724778,
        4.745760213357349,
        4.745780263989922,
        4.745800314622495,
        4.745820365255067,
        4.745840415887639,
        4.745860466520212,
        4.745880517152784,
        4.745900567785356,
        4.745920618417929,
        4.7459406690505,
        4.745960719683073,
        4.745980770315646,
        4.746000820948218,
        4.74602087158079,
        4.746040922213362,
        4.746060972845934,
        4.746081023478507,
        4.74610107411108,
        4.746121124743652,
        4.746141175376224,
        4.7461612260087955,
        4.7461812766413685,
        4.746201327273941,
        4.7462213779065126,
        4.7462414285390855,
        4.746261479171658,
        4.74628152980423,
        4.7463015804368025,
        4.7463216310693745,
        4.746341681701947,
        4.7463617323345195,
        4.7463817829670925,
        4.7464018335996645,
        4.746421884232236,
        4.746441934864809,
        4.746461985497381,
        4.746482036129954,
        4.7465020867625265,
        4.746522137395098,
        4.746542188027671,
        4.746562238660243,
        4.746582289292815,
        4.746602339925388,
        4.74662239055796,
        4.746642441190532,
        4.746662491823105,
        4.746682542455677,
        4.746702593088248,
        4.746722643720821,
        4.746742694353394,
        4.746762744985966,
        4.746782795618539,
        4.746802846251111,
        4.746822896883682,
        4.746842947516255,
        4.746862998148828,
        4.7468830487814,
        4.746903099413972,
        4.746923150046545,
        4.746943200679116,
        4.746963251311689,
        4.746983301944261,
        4.747003352576833,
        4.747023403209406,
        4.747043453841978,
        4.747063504474551,
        4.747083555107122,
        4.747103605739694,
        4.747123656372267,
        4.74714370700484,
        4.747163757637412,
        4.747183808269984,
        4.747203858902556,
        4.747223909535128,
        4.747243960167701,
        4.747264010800274,
        4.747284061432845,
        4.747304112065418,
        4.747324162697991,
        4.747344213330562,
        4.747364263963135,
        4.747384314595707,
        4.747404365228279,
        4.747424415860852,
        4.747444466493425,
        4.747464517125997,
        4.747484567758568,
        4.747504618391141,
        4.747524669023713,
        4.747544719656286,
        4.747564770288858,
        4.74758482092143,
        4.747604871554002,
        4.747624922186575,
        4.747644972819147,
        4.747665023451719,
        4.747685074084292,
        4.747705124716864,
        4.747725175349437,
        4.747745225982009,
        4.74776527661458,
        4.7480660361031655,
        4.748086086735738,
        4.74810613736831,
        4.7481261880008825,
        4.7481462386334545,
        4.748166289266027,
        4.7481863398985995,
        4.748206390531172,
        4.7482264411637445,
        4.7482464917963165,
        4.748266542428889,
        4.748286593061461,
        4.7483066436940335,
        4.7483266943266065,
        4.748346744959178,
        4.748366795591751,
        4.7483868462243235,
        4.748406896856895,
        4.748426947489468,
        4.74844699812204,
        4.748467048754612,
        4.748487099387185,
        4.7485071500197575,
        4.748527200652328,
        4.748547251284901,
        4.748567301917474,
        4.748587352550046,
        4.748607403182619,
        4.748627453815191,
        4.748647504447763,
        4.748667555080335,
        4.748687605712908,
        4.74870765634548,
        4.748727706978052,
        4.748747757610624,
        4.748767808243197,
        4.748787858875769,
        4.748807909508341,
        4.748827960140913,
        4.748848010773486,
        4.748868061406058,
        4.748888112038631,
        4.748908162671203,
        4.748928213303774,
        4.748948263936347,
        4.74896831456892,
        4.748988365201492,
        4.749008415834064,
        4.749028466466637,
        4.749048517099208,
        4.749068567731781,
        4.749088618364354,
        4.749108668996925,
        4.749128719629498,
        4.749148770262071,
        4.749168820894643,
        4.749188871527215,
        4.749208922159787,
        4.749228972792359,
        4.749249023424932,
        4.749269074057505,
        4.749289124690077,
        4.749309175322649,
        4.749329225955221,
        4.749349276587793,
        4.749369327220366,
        4.749389377852938,
        4.74940942848551,
        4.749429479118083,
        4.749449529750655,
        4.749469580383227,
        4.749489631015799,
        4.749509681648372,
        4.749529732280944,
        4.749549782913517,
        4.749569833546089,
        4.74958988417866,
        4.749609934811233,
        4.749629985443805,
        4.749650036076378,
        4.749670086708951,
        4.749690137341522,
        4.749710187974094,
        4.749730238606667,
        4.749750289239239,
        4.749770339871812,
        4.749790390504384,
        4.749810441136956,
        4.749830491769529,
        4.749850542402101,
        4.7498705930346725,
        4.7498906436672454,
        4.749910694299818,
        4.74993074493239,
        4.749950795564963,
        4.7499708461975345,
        4.749990896830107,
        4.7500109474626795,
        4.750030998095252,
        4.7500510487278245,
        4.7500710993603965,
        4.750091149992969,
        4.750111200625541,
        4.7501312512581135,
        4.7501513018906865,
        4.750171352523258,
        4.7501914031558305,
        4.7502114537884035,
        4.7502315044209755,
        4.750251555053547,
        4.75027160568612,
        4.750291656318692,
        4.750311706951265,
        4.7503317575838375,
        4.750351808216409,
        4.750371858848981,
        4.750391909481553,
        4.750411960114126,
        4.750432010746699,
        4.75045206137927,
        4.750472112011843,
        4.750492162644416,
        4.750512213276987,
        4.75053226390956,
        4.750552314542132,
        4.750572365174704,
        4.750592415807277,
        4.75061246643985,
        4.750632517072421,
        4.750652567704993,
        4.750672618337566,
        4.750692668970138,
        4.750712719602711,
        4.750732770235283,
        4.750752820867855,
        4.750772871500427,
        4.750792922133,
        4.750812972765572,
        4.750833023398144,
        4.750853074030717,
        4.750873124663289,
        4.750893175295861,
        4.750913225928434,
        4.750933276561005,
        4.750953327193578,
        4.750973377826151,
        4.750993428458723,
        4.751013479091296,
        4.751033529723867,
        4.751053580356439,
        4.751073630989012,
        4.751093681621585,
        4.751113732254157,
        4.751133782886729,
        4.751153833519302,
        4.751173884151873,
        4.751193934784446,
        4.751213985417018,
        4.75123403604959,
        4.751254086682163,
        4.751274137314736,
        4.751294187947307,
        4.751314238579879,
        4.751334289212451,
        4.751354339845024,
        4.751374390477597,
        4.751394441110169,
        4.751414491742741,
        4.751434542375313,
        4.751454593007885,
        4.751474643640458,
        4.751494694273031,
        4.751514744905602,
        4.751534795538175,
        4.751554846170747,
        4.751574896803319,
        4.751594947435892,
        4.751614998068464,
        4.751635048701036,
        4.751655099333609,
        4.751675149966182,
        4.7516952005987525,
        4.751715251231325,
        4.751735301863898,
        4.75175535249647,
        4.751775403129043,
        4.751795453761615,
        4.7518155043941865,
        4.7518355550267595,
        4.751855605659332,
        4.7518756562919044,
        4.7518957069244765,
        4.751915757557049,
        4.7519358081896215,
        4.7519558588221935,
        4.7519759094547664,
        4.751995960087338,
        4.7520160107199105,
        4.7520360613524835,
        4.7520561119850555,
        4.7520761626176276,
        4.7520962132502,
        4.752116263882772,
        4.752136314515345,
        4.752156365147917,
        4.752176415780489,
        4.752196466413062,
        4.752216517045633,
        4.752236567678206,
        4.752256618310779,
        4.75227666894335,
        4.752296719575923,
        4.752316770208496,
        4.752336820841068,
        4.75235687147364,
        4.752376922106212,
        4.752396972738784,
        4.752417023371357,
        4.75243707400393,
        4.752457124636502,
        4.752477175269073,
        4.752497225901646,
        4.752517276534218,
        4.752537327166791,
        4.752557377799363,
        4.752577428431935,
        4.752597479064508,
        4.75261752969708,
        4.752637580329652,
        4.752657630962224,
        4.752677681594797,
        4.752697732227369,
        4.752717782859942,
        4.752737833492514,
        4.752757884125085,
        4.752777934757658,
        4.752797985390231,
        4.752818036022803,
        4.752838086655376,
        4.752858137287948,
        4.752878187920519,
        4.752898238553092,
        4.752918289185665,
        4.752938339818237,
        4.752958390450809,
        4.752978441083381,
        4.752998491715954,
        4.753018542348526,
        4.753038592981097,
        4.75305864361367,
        4.753078694246243,
        4.753098744878815,
        4.753118795511388,
        4.753138846143959,
        4.753158896776531,
        4.753178947409104,
        4.753198998041677,
        4.753219048674249,
        4.753239099306821,
        4.753259149939394,
        4.753279200571965,
        4.753299251204538,
        4.753319301837111,
        4.753339352469682,
        4.753359403102255,
        4.753379453734828,
        4.753399504367399,
        4.753419554999972,
        4.753439605632544,
        4.753459656265116,
        4.753479706897689,
        4.753499757530262,
        4.753519808162833,
        4.753539858795405,
        4.753559909427978,
        4.75357996006055,
        4.753600010693123,
        4.753620061325695,
        4.753640111958267,
        4.7536601625908395,
        4.753680213223412,
        4.753700263855984,
        4.7537203144885565,
        4.753740365121129,
        4.7537604157537015,
        4.753780466386274,
        4.753800517018846,
        4.753820567651418,
        4.7538406182839905,
        4.7538606689165634,
        4.7538807195491355,
        4.7539007701817075,
        4.753920820814279,
        4.753940871446852,
        4.7539609220794246,
        4.753980972711997,
        4.754001023344569,
        4.754021073977142,
        4.754041124609714,
        4.754061175242286,
        4.754081225874859,
        4.75410127650743,
        4.754121327140003,
        4.754141377772576,
        4.754161428405148,
        4.754181479037721,
        4.754201529670292,
        4.754221580302864,
        4.754241630935437,
        4.75426168156801,
        4.754281732200582,
        4.754301782833154,
        4.754321833465726,
        4.754341884098298,
        4.754361934730871,
        4.754381985363443,
        4.754402035996015,
        4.754422086628588,
        4.754442137261161,
        4.754462187893732,
        4.754482238526304,
        4.754502289158877,
        4.754522339791449,
        4.754542390424022,
        4.754562441056595,
        4.754582491689165,
        4.754602542321738,
        4.754622592954311,
        4.754642643586883,
        4.754662694219456,
        4.754682744852028,
        4.754843149912607,
        4.754863200545177,
        4.75488325117775,
        4.754903301810323,
        4.754923352442895,
        4.754943403075468,
        4.75496345370804,
        4.754983504340611,
        4.755003554973184,
        4.755023605605757,
        4.755043656238329,
        4.755063706870901,
        4.755083757503474,
        4.755103808136046,
        4.755123858768618,
        4.755143909401191,
        4.755163960033762,
        4.755184010666335,
        4.755204061298908,
        4.75522411193148,
        4.755244162564051,
        4.755264213196624,
        4.755284263829196,
        4.755304314461769,
        4.755324365094342,
        4.755344415726913,
        4.755364466359486,
        4.755384516992058,
        4.75540456762463,
        4.755424618257203,
        4.755444668889775,
        4.755464719522347,
        4.75548477015492,
        4.755504820787492,
        4.755524871420064,
        4.7555449220526365,
        4.7555649726852085,
        4.755585023317781,
        4.755605073950354,
        4.755625124582926,
        4.755645175215498,
        4.7556652258480705,
        4.7556852764806425,
        4.7557053271132155,
        4.7557253777457875,
        4.75574542837836,
        4.7557654790109325,
        4.7557855296435045,
        4.755805580276077,
        4.755825630908649,
        4.755845681541222,
        4.755865732173794,
        4.7558857828063665,
        4.755905833438939,
        4.75592588407151,
        4.755945934704083,
        4.755965985336656,
        4.755986035969228,
        4.756006086601801,
        4.756026137234373,
        4.756046187866944,
        4.756066238499517,
        4.75608628913209,
        4.756106339764662,
        4.756126390397234,
        4.756146441029807,
        4.756166491662378,
        4.756186542294951,
        4.756206592927523,
        4.756226643560095,
        4.756246694192668,
        4.756266744825241,
        4.756286795457813,
        4.756306846090384,
        4.756326896722957,
        4.756346947355529,
        4.756366997988102,
        4.756387048620674,
        4.756407099253246,
        4.756427149885818,
        4.75644720051839,
        4.756467251150963,
        4.756487301783536,
        4.756507352416107,
        4.75652740304868,
        4.756547453681253,
        4.756567504313824,
        4.756587554946397,
        4.756607605578969,
        4.756627656211541,
        4.756647706844114,
        4.756667757476687,
        4.756687808109257,
        4.75670785874183,
        4.756727909374403,
        4.756747960006975,
        4.756768010639548,
        4.75678806127212,
        4.756808111904692,
        4.756828162537264,
        4.756848213169837,
        4.756868263802409,
        4.756888314434981,
        4.756908365067554,
        4.756928415700126,
        4.756948466332699,
        4.756968516965271,
        4.756988567597842,
        4.757008618230415,
        4.757028668862988,
        4.75704871949556,
        4.757068770128132,
        4.757088820760704,
        4.757108871393276,
        4.757128922025849,
        4.757148972658422,
        4.757169023290993,
        4.757189073923566,
        4.757209124556139,
        4.75722917518871,
        4.757249225821283,
        4.757269276453855,
        4.757289327086427,
        4.757309377719,
        4.757329428351572,
        4.757349478984144,
        4.757369529616716,
        4.7573895802492885,
        4.757409630881861,
        4.757429681514434,
        4.757449732147006,
        4.757469782779578,
        4.7574898334121505,
        4.7575098840447225,
        4.7575299346772955,
        4.7575499853098675,
        4.7575700359424395,
        4.7575900865750125,
        4.757610137207585,
        4.757630187840157,
        4.757650238472729,
        4.7576702891053015,
        4.757690339737874,
        4.7577103903704465,
        4.7577304410030195,
        4.75775049163559,
        4.757770542268163,
        4.757790592900736,
        4.757810643533308,
        4.757830694165881,
        4.757850744798453,
        4.757870795431025,
        4.757890846063597,
        4.75791089669617,
        4.757930947328742,
        4.757950997961314,
        4.757971048593887,
        4.757991099226459,
        4.758011149859031,
        4.758031200491603,
        4.758051251124175,
        4.758071301756748,
        4.758091352389321,
        4.758111403021893,
        4.758131453654465,
        4.758151504287036,
        4.758171554919609,
        4.758191605552182,
        4.758211656184754,
        4.758231706817326,
        4.758251757449899,
        4.75827180808247,
        4.758291858715043,
        4.758311909347616,
        4.758331959980187,
        4.75835201061276,
        4.758372061245333,
        4.758392111877905,
        4.758512415673338,
        4.758532466305911,
        4.758552516938483,
        4.758572567571055,
        4.758592618203628,
        4.7586126688362,
        4.758632719468772,
        4.758652770101345,
        4.758672820733917,
        4.758692871366489,
        4.758712921999061,
        4.758732972631634,
        4.758753023264206,
        4.758773073896779,
        4.758793124529352,
        4.758813175161922,
        4.758833225794495,
        4.758853276427068,
        4.75887332705964,
        4.758893377692212,
        4.758913428324785,
        4.758933478957356,
        4.758953529589929,
        4.758973580222501,
        4.758993630855073,
        4.759013681487646,
        4.759033732120218,
        4.759053782752791,
        4.759073833385363,
        4.759093884017934,
        4.759113934650507,
        4.75913398528308,
        4.759154035915652,
        4.759174086548225,
        4.759194137180796,
        4.7592141878133685,
        4.759234238445941,
        4.759254289078514,
        4.759274339711086,
        4.759294390343658,
        4.759314440976231,
        4.7593344916088025,
        4.759354542241375,
        4.7593745928739475,
        4.7593946435065195,
        4.7594146941390925,
        4.759434744771665,
        4.7594547954042365,
        4.759474846036809,
        4.7594948966693815,
        4.759514947301954,
        4.7595349979345265,
        4.759555048567099,
        4.759575099199671,
        4.759595149832243,
        4.759615200464816,
        4.759635251097388,
        4.7596553017299605,
        4.759675352362533,
        4.759695402995105,
        4.759715453627678,
        4.75973550426025,
        4.759755554892822,
        4.759775605525394,
        4.759795656157967,
        4.759815706790539,
        4.759835757423112,
        4.759855808055682,
        4.759875858688255,
        4.759895909320828,
        4.7599159599534,
        4.759936010585973,
        4.759956061218545,
        4.759976111851117,
        4.759996162483689,
        4.760016213116262,
        4.760036263748834,
        4.760056314381406,
        4.760076365013979,
        4.760096415646551,
        4.760116466279123,
        4.760136516911696,
        4.760156567544267,
        4.76017661817684,
        4.760196668809413,
        4.760216719441985,
        4.760236770074557,
        4.760256820707129,
        4.760276871339701,
        4.760296921972274,
        4.760316972604847,
        4.760337023237418,
        4.760357073869991,
        4.760377124502564,
        4.760397175135135,
        4.760417225767708,
        4.76043727640028,
        4.760457327032852,
        4.760477377665425,
        4.760497428297998,
        4.760517478930569,
        4.760537529563141,
        4.760557580195714,
        4.760577630828286,
        4.760597681460859,
        4.760617732093432,
        4.760637782726003,
        4.760657833358575,
        4.760677883991148,
        4.76069793462372,
        4.760717985256292,
        4.760738035888864,
        4.760758086521437,
        4.760778137154009,
        4.760798187786581,
        4.760818238419153,
        4.760838289051726,
        4.760858339684298,
        4.760878390316871,
        4.760898440949444,
        4.760918491582014,
        4.760938542214587,
        4.76095859284716,
        4.760978643479732,
        4.760998694112305,
        4.761018744744877,
        4.7610387953774485,
        4.761058846010021,
        4.7612994536008895,
        4.7613195042334615,
        4.7613395548660336,
        4.7613596054986065,
        4.761379656131179,
        4.761399706763751,
        4.7614197573963235,
        4.7614398080288955,
        4.761459858661468,
        4.7614799092940405,
        4.761499959926613,
        4.761520010559185,
        4.7615400611917575,
        4.76156011182433,
        4.761580162456902,
        4.761600213089474,
        4.761620263722046,
        4.761640314354619,
        4.761660364987192,
        4.761680415619763,
        4.761700466252335,
        4.761720516884908,
        4.76174056751748,
        4.761760618150053,
        4.761780668782625,
        4.761800719415197,
        4.76182077004777,
        4.761840820680342,
        4.761860871312914,
        4.761880921945486,
        4.761900972578059,
        4.761921023210631,
        4.761941073843204,
        4.761961124475776,
        4.761981175108347,
        4.76200122574092,
        4.762021276373493,
        4.762041327006065,
        4.762061377638637,
        4.76208142827121,
        4.762101478903781,
        4.762121529536354,
        4.762141580168927,
        4.762161630801498,
        4.762181681434071,
        4.762201732066644,
        4.762221782699215,
        4.762241833331788,
        4.76226188396436,
        4.762281934596932,
        4.762301985229505,
        4.762322035862078,
        4.76234208649465,
        4.762362137127221,
        4.762382187759794,
        4.762402238392366,
        4.762422289024939,
        4.762442339657511,
        4.762462390290083,
        4.762482440922656,
        4.762502491555227,
        4.7625225421878,
        4.762542592820372,
        4.762562643452944,
        4.762582694085517,
        4.76260274471809,
        4.762622795350661,
        4.762642845983233,
        4.762662896615806,
        4.762682947248378,
        4.762702997880951,
        4.762723048513524,
        4.762743099146095,
        4.762763149778667,
        4.76278320041124,
        4.762803251043812,
        4.762823301676385,
        4.762843352308957,
        4.762863402941529,
        4.762883453574101,
        4.762903504206674,
        4.762923554839246,
        4.762943605471818,
        4.762963656104391,
        4.762983706736963,
        4.763003757369536,
        4.7630238080021075,
        4.7630438586346795,
        4.763063909267252,
        4.763083959899825,
        4.763104010532397,
        4.7631240611649694,
        4.763144111797542,
        4.7631641624301135,
        4.7631842130626865,
        4.763204263695259,
        4.7632243143278306,
        4.7632443649604035,
        4.7632644155929755,
        4.763284466225548,
        4.7633045168581205,
        4.763324567490692,
        4.763344618123265,
        4.7633646687558375,
        4.76338471938841,
        4.763404770020982,
        4.763424820653554,
        4.763444871286126,
        4.763464921918699,
        4.763484972551272,
        4.763505023183843,
        4.763525073816416,
        4.763545124448988,
        4.76356517508156,
        4.763585225714133,
        4.763605276346705,
        4.763625326979277,
        4.76364537761185,
        4.763665428244423,
        4.763685478876994,
        4.763705529509566,
        4.763725580142139,
        4.763745630774711,
        4.763765681407284,
        4.763785732039857,
        4.763805782672427,
        4.763825833305,
        4.763845883937573,
        4.763865934570145,
        4.763885985202717,
        4.76390603583529,
        4.763926086467862,
        4.763946137100434,
        4.763966187733007,
        4.763986238365578,
        4.764006288998151,
        4.764026339630724,
        4.764046390263296,
        4.764066440895869,
        4.76408649152844,
        4.764106542161012,
        4.764126592793585,
        4.764146643426157,
        4.76416669405873,
        4.76434714975188,
        4.764367200384452,
        4.764387251017024,
        4.764407301649597,
        4.76442735228217,
        4.764447402914742,
        4.764467453547313,
        4.764487504179886,
        4.764507554812458,
        4.764527605445031,
        4.764547656077604,
        4.764567706710175,
        4.764587757342748,
        4.76460780797532,
        4.764627858607892,
        4.764647909240465,
        4.764667959873037,
        4.764688010505609,
        4.764708061138182,
        4.764728111770754,
        4.764748162403326,
        4.764768213035898,
        4.764788263668471,
        4.764808314301043,
        4.764828364933616,
        4.764848415566188,
        4.7648684661987595,
        4.764888516831332,
        4.764908567463905,
        4.764928618096477,
        4.764948668729049,
        4.7649687193616215,
        4.7649887699941935,
        4.7650088206267665,
        4.7650288712593385,
        4.7650489218919105,
        4.7650689725244835,
        4.7650890231570555,
        4.7651090737896284,
        4.7651291244222005,
        4.765149175054772,
        4.765169225687345,
        4.7651892763199175,
        4.7652093269524896,
        4.765229377585062,
        4.7652494282176345,
        4.765269478850206,
        4.765289529482779,
        4.7653095801153516,
        4.765329630747923,
        4.765349681380496,
        4.765369732013069,
        4.76538978264564,
        4.765409833278213,
        4.765429883910785,
        4.765449934543357,
        4.76546998517593,
        4.765490035808503,
        4.765510086441075,
        4.765530137073646,
        4.765550187706219,
        4.765570238338791,
        4.765590288971364,
        4.765610339603937,
        4.765630390236508,
        4.76565044086908,
        4.765670491501653,
        4.765690542134225,
        4.765710592766797,
        4.76573064339937,
        4.765750694031942,
        4.765770744664515,
        4.765790795297087,
        4.765810845929658,
        4.765830896562231,
        4.765850947194804,
        4.765870997827376,
        4.765891048459949,
        4.765911099092519,
        4.765931149725092,
        4.765951200357665,
        4.765971250990237,
        4.76599130162281,
        4.766011352255382,
        4.766031402887954,
        4.766051453520526,
        4.766071504153099,
        4.766091554785671,
        4.766111605418243,
        4.766131656050816,
        4.766151706683388,
        4.766171757315961,
        4.766191807948532,
        4.766211858581104,
        4.766231909213677,
        4.76625195984625,
        4.766272010478822,
        4.766292061111394,
        4.766312111743966,
        4.766332162376538,
        4.766352213009111,
        4.766372263641684,
        4.766392314274255,
        4.766412364906828,
        4.766432415539401,
        4.766452466171972,
        4.766472516804545,
        4.766492567437117,
        4.766512618069689,
        4.766532668702262,
        4.766552719334835,
        4.766572769967405,
        4.766592820599978,
        4.766612871232551,
        4.766632921865123,
        4.766652972497696,
        4.766673023130268,
        4.76669307376284,
        4.766713124395412,
        4.766733175027984,
        4.766753225660557,
        4.766773276293129,
        4.7667933269257015,
        4.766813377558274,
        4.766833428190847,
        4.7668534788234185,
        4.7668735294559905,
        4.7668935800885635,
        4.7669136307211355,
        4.766933681353708,
        4.766953731986281,
        4.766973782618852,
        4.766993833251425,
        4.7670138838839975,
        4.7670339345165695,
        4.767053985149142,
        4.7670740357817145,
        4.767094086414287,
        4.767254491474865,
        4.767274542107437,
        4.76729459274001,
        4.767314643372583,
        4.767334694005155,
        4.767354744637727,
        4.767374795270299,
        4.767394845902871,
        4.767414896535444,
        4.767434947168017,
        4.767454997800588,
        4.767475048433161,
        4.767495099065733,
        4.767515149698305,
        4.767535200330877,
        4.767555250963449,
        4.767575301596022,
        4.767595352228595,
        4.767615402861167,
        4.767635453493738,
        4.767655504126311,
        4.767675554758883,
        4.767695605391456,
        4.767715656024029,
        4.7677357066566,
        4.767755757289172,
        4.767775807921745,
        4.767795858554317,
        4.76781590918689,
        4.767835959819462,
        4.767856010452034,
        4.767876061084607,
        4.767896111717179,
        4.767916162349751,
        4.767936212982323,
        4.767956263614896,
        4.767976314247468,
        4.767996364880041,
        4.768016415512613,
        4.768236972470908,
        4.768257023103481,
        4.768277073736053,
        4.768297124368625,
        4.768317175001197,
        4.768337225633769,
        4.768357276266342,
        4.768377326898914,
        4.768397377531486,
        4.768417428164058,
        4.76843747879663,
        4.768457529429203,
        4.768477580061776,
        4.768497630694347,
        4.76851768132692,
        4.768537731959493,
        4.768557782592064,
        4.768577833224637,
        4.768597883857209,
        4.768617934489781,
        4.768637985122354,
        4.768658035754927,
        4.7686780863874985,
        4.7686981370200705,
        4.768718187652643,
        4.7687382382852155,
        4.768758288917788,
        4.769159301569234,
        4.76956031422068,
        4.769580364853253,
        4.769600415485826,
        4.769620466118397,
        4.76964051675097,
        4.769660567383542,
        4.769680618016114,
        4.769700668648687,
        4.76972071928126,
        4.769740769913831,
        4.769760820546403,
        4.769780871178976,
        4.769800921811548,
        4.769820972444121,
        4.769841023076693,
        4.769861073709265,
        4.769881124341837,
        4.76990117497441,
        4.769921225606982,
        4.769941276239554,
        4.769961326872127,
        4.769981377504699,
        4.770001428137271,
        4.770021478769844,
        4.770041529402415,
        4.770061580034988,
        4.770081630667561,
        4.770101681300133,
        4.770121731932706,
        4.770141782565276,
        4.770161833197849,
        4.770181883830422,
        4.770201934462994,
        4.770221985095566,
        4.770242035728139,
        4.77026208636071,
        4.770282136993283,
        4.770302187625856,
        4.770322238258427,
        4.770342288891,
        4.770362339523573,
        4.770382390156145,
        4.770402440788717,
        4.770422491421289,
        4.770442542053861,
        4.770462592686434,
        4.770482643319007,
        4.770502693951579,
        4.7705227445841505,
        4.770542795216723,
        4.7705628458492955,
        4.770582896481868,
        4.770602947114441,
        4.7706229977470125,
        4.770643048379585,
        4.7706630990121575,
        4.7706831496447295,
        4.7707032002773015,
        4.7707232509098745,
        4.7707433015424465,
        4.7707633521750195,
        4.770783402807592,
        4.770803453440163,
        4.770823504072736,
        4.7708435547053085,
        4.770863605337881,
        4.7708836559704535,
        4.7709037066030255,
        4.770923757235597,
        4.77094380786817,
        4.770963858500742,
        4.770983909133315,
        4.771003959765887,
        4.771024010398459,
        4.771044061031032,
        4.771064111663604,
        4.771084162296176,
        4.771104212928748,
        4.771124263561321,
        4.771144314193893,
        4.771164364826466,
        4.771184415459037,
        4.771204466091609,
        4.771224516724182,
        4.771244567356755,
        4.771264617989327,
        4.771284668621899,
        4.771304719254472,
        4.771324769887043,
        4.771344820519616,
        4.771364871152189,
        4.77138492178476,
        4.771404972417333,
        4.771425023049906,
        4.771445073682477,
        4.77146512431505,
        4.771485174947622,
        4.771505225580194,
        4.771525276212767,
        4.77154532684534,
        4.771565377477911,
        4.771585428110483,
        4.771605478743056,
        4.771625529375628,
        4.771645580008201,
        4.771665630640773,
        4.771685681273345,
        4.771705731905918,
        4.77172578253849,
        4.771745833171062,
        4.771765883803634,
        4.771785934436207,
        4.771805985068779,
        4.771826035701352,
        4.771846086333923,
        4.771866136966495,
        4.771886187599068,
        4.77190623823164,
        4.771926288864213,
        4.771946339496786,
        4.771966390129357,
        4.771986440761929,
        4.772006491394502,
        4.772026542027074,
        4.772046592659646,
        4.772066643292219,
        4.772086693924791,
        4.772106744557363,
        4.772126795189936,
        4.772146845822507,
        4.77216689645508,
        4.772186947087653,
        4.772206997720225,
        4.772227048352798,
        4.772247098985369,
        4.772267149617941,
        4.772287200250514,
        4.772307250883087,
        4.772327301515659,
        4.772347352148231,
        4.772367402780804,
        4.7723874534133754,
        4.772407504045948,
        4.772427554678521,
        4.7724476053110925,
        4.772467655943665,
        4.772487706576238,
        4.7725077572088095,
        4.7725278078413815,
        4.7725478584739545,
        4.7725679091065265,
        4.772587959739099,
        4.772608010371672,
        4.7726280610042435,
        4.772648111636816,
        4.772668162269388,
        4.7726882129019605,
        4.7727082635345335,
        4.772728314167105,
        4.772748364799678,
        4.77276841543225,
        4.772788466064822,
        4.772808516697395,
        4.772828567329967,
        4.772848617962539,
        4.772868668595112,
        4.7728887192276845,
        4.772908769860256,
        4.772928820492828,
        4.772948871125401,
        4.772968921757973,
        4.772988972390546,
        4.773009023023118,
        4.773029073655689,
        4.773049124288262,
        4.773069174920835,
        4.773089225553407,
        4.773109276185979,
        4.773129326818552,
        4.773149377451124,
        4.773169428083696,
        4.773189478716269,
        4.77320952934884,
        4.773229579981413,
        4.773249630613986,
        4.773269681246558,
        4.77328973187913,
        4.773309782511702,
        4.773329833144274,
        4.773349883776847,
        4.77336993440942,
        4.773389985041991,
        4.773410035674564,
        4.773430086307136,
        4.773450136939708,
        4.773470187572281,
        4.773490238204853,
        4.773510288837425,
        4.773530339469998,
        4.77355039010257,
        4.773570440735142,
        4.773590491367714,
        4.773610542000286,
        4.773630592632859,
        4.773650643265432,
        4.773670693898004,
        4.773690744530575,
        4.773710795163148,
        4.77373084579572,
        4.773931352121444,
        4.773951402754016,
        4.773971453386587,
        4.77399150401916,
        4.774011554651733,
        4.774031605284305,
        4.774051655916878,
        4.77407170654945,
        4.774091757182021,
        4.774111807814594,
        4.774131858447167,
        4.774151909079739,
        4.774171959712311,
        4.774192010344884,
        4.774212060977455,
        4.774232111610028,
        4.774252162242601,
        4.7742722128751724,
        4.774292263507745,
        4.774312314140318,
        4.77433236477289,
        4.7743524154054615,
        4.774372466038034,
        4.7743925166706065,
        4.774412567303179,
        4.7744326179357515,
        4.7744526685683235,
        4.774472719200896,
        4.774492769833468,
        4.7745128204660405,
        4.7745328710986135,
        4.774552921731185,
        4.7745729723637576,
        4.7745930229963305,
        4.774613073628902,
        4.774633124261475,
        4.774653174894047,
        4.774673225526619,
        4.774693276159192,
        4.7747133267917645,
        4.774733377424337,
        4.774753428056908,
        4.774773478689481,
        4.774793529322053,
        4.774813579954626,
        4.774833630587198,
        4.77485368121977,
        4.774873731852342,
        4.774893782484915,
        4.774913833117487,
        4.774933883750059,
        4.774953934382632,
        4.774973985015204,
        4.774994035647777,
        4.775014086280349,
        4.77503413691292,
        4.775054187545493,
        4.775074238178066,
        4.775094288810638,
        4.775114339443211,
        4.775134390075783,
        4.775154440708354,
        4.775174491340927,
        4.775194541973499,
        4.775214592606071,
        4.775234643238644,
        4.775254693871217,
        4.775274744503788,
        4.775294795136361,
        4.775314845768932,
        4.775334896401505,
        4.775354947034078,
        4.77537499766665,
        4.775395048299223,
        4.775415098931794,
        4.775435149564366,
        4.775455200196939,
        4.775475250829512,
        4.775495301462084,
        4.775515352094656,
        4.775535402727228,
        4.7755554533598,
        4.775575503992373,
        4.775595554624946,
        4.775615605257517,
        4.77563565589009,
        4.775655706522663,
        4.775675757155234,
        4.775695807787806,
        4.775715858420379,
        4.775735909052951,
        4.775755959685524,
        4.775776010318097,
        4.775796060950667,
        4.77581611158324,
        4.775836162215813,
        4.775856212848385,
        4.775876263480958,
        4.77589631411353,
        4.775916364746102,
        4.775936415378674,
        4.775956466011247,
        4.775976516643819,
        4.775996567276391,
        4.776016617908964,
        4.776036668541536,
        4.776056719174108,
        4.776076769806681,
        4.776096820439252,
        4.776116871071825,
        4.776136921704397,
        4.77615697233697,
        4.776177022969542,
        4.7761970736021135,
        4.7762171242346865,
        4.776237174867259,
        4.7762572254998314,
        4.7762772761324035,
        4.776297326764976,
        4.7763173773975485,
        4.7763374280301205,
        4.7763574786626934,
        4.776377529295265,
        4.7763975799278375,
        4.7764176305604105,
        4.7764376811929825,
        4.7764577318255546,
        4.776477782458127,
        4.776497833090699,
        4.776517883723272,
        4.7765379343558445,
        4.776557984988416,
        4.776578035620989,
        4.776598086253561,
        4.776618136886133,
        4.776638187518706,
        4.776658238151278,
        4.77667828878385,
        4.776698339416423,
        4.776718390048995,
        4.776738440681567,
        4.776758491314139,
        4.776778541946712,
        4.776798592579284,
        4.776818643211857,
        4.77683869384443,
        4.776858744477,
        4.776878795109573,
        4.776898845742146,
        4.776918896374718,
        4.776938947007291,
        4.777319909026164,
        4.777339959658736,
        4.777360010291309,
        4.77738006092388,
        4.777400111556453,
        4.777420162189026,
        4.777440212821597,
        4.77746026345417,
        4.777480314086743,
        4.777500364719315,
        4.777520415351886,
        4.777540465984459,
        4.777560516617031,
        4.777580567249604,
        4.777600617882177,
        4.777620668514748,
        4.77764071914732,
        4.777660769779893,
        4.777680820412465,
        4.777700871045038,
        4.77772092167761,
        4.777740972310182,
        4.777761022942755,
        4.777781073575327,
        4.777801124207899,
        4.777821174840471,
        4.777841225473044,
        4.777861276105616,
        4.777881326738189,
        4.77790137737076,
        4.777921428003332,
        4.777941478635905,
        4.777961529268477,
        4.77798157990105,
        4.778001630533622,
        4.778021681166194,
        4.7780417317987665,
        4.778061782431339,
        4.778081833063911,
        4.7781018836964835,
        4.778121934329056,
        4.7781419849616285,
        4.778162035594201,
        4.778182086226773,
        4.778202136859345,
        4.7782221874919175,
        4.7782422381244904,
        4.7782622887570625,
        4.778282339389635,
        4.778302390022207,
        4.778322440654779,
        4.778342491287352,
        4.7783625419199245,
        4.778382592552496,
        4.778402643185069,
        4.7784226938176415,
        4.778442744450213,
        4.778462795082786,
        4.778482845715358,
        4.77850289634793,
        4.778522946980503,
        4.7785429976130755,
        4.778563048245647,
        4.778583098878219,
        4.778603149510792,
        4.778623200143364,
        4.778643250775937,
        4.77866330140851,
        4.778683352041081,
        4.778703402673653,
        4.778723453306225,
        4.778743503938798,
        4.778763554571371,
        4.778783605203942,
        4.778803655836515,
        4.778823706469087,
        4.778843757101659,
        4.778863807734231,
        4.778883858366804,
        4.778903908999376,
        4.778923959631949,
        4.778944010264522,
        4.778964060897092,
        4.778984111529665,
        4.779004162162238,
        4.77902421279481,
        4.779044263427383,
        4.779064314059955,
        4.779084364692527,
        4.779104415325099,
        4.779124465957672,
        4.779144516590244,
        4.779164567222816,
        4.779184617855389,
        4.779204668487961,
        4.779224719120533,
        4.779244769753106,
        4.779264820385677,
        4.77928487101825,
        4.779304921650823,
        4.779324972283395,
        4.779345022915967,
        4.779365073548539,
        4.779385124181111,
        4.779405174813684,
        4.779425225446257,
        4.779445276078828,
        4.779465326711401,
        4.779485377343973,
        4.779505427976545,
        4.779525478609118,
        4.779545529241689,
        4.779565579874262,
        4.779585630506835,
        4.779605681139407,
        4.779625731771979,
        4.779645782404551,
        4.779665833037123,
        4.779685883669696,
        4.779705934302269,
        4.77972598493484,
        4.779746035567412,
        4.779766086199985,
        4.779786136832557,
        4.77980618746513,
        4.779826238097702,
        4.779846288730274,
        4.779866339362847,
        4.779886389995419,
        4.779906440627991,
        4.7799264912605635,
        4.779946541893136,
        4.779966592525708,
        4.779986643158281,
        4.780006693790854,
        4.780026744423425,
        4.7800467950559975,
        4.78006684568857,
        4.7800868963211425,
        4.780106946953715,
        4.7801269975862875,
        4.780147048218859,
        4.7801670988514315,
        4.7801871494840045,
        4.780207200116576,
        4.780227250749149,
        4.7802473013817215,
        4.7802673520142935,
        4.780287402646866,
        4.780307453279438,
        4.78032750391201,
        4.780347554544583,
        4.780367605177155,
        4.780387655809728,
        4.780407706442299,
        4.780427757074871,
        4.780447807707444,
        4.780467858340017,
        4.780487908972589,
        4.780808719093745,
        4.780828769726318,
        4.78084882035889,
        4.780868870991463,
        4.780888921624035,
        4.780908972256607,
        4.78092902288918,
        4.780949073521752,
        4.780969124154324,
        4.780989174786896,
        4.781009225419469,
        4.781029276052041,
        4.781049326684614,
        4.781069377317186,
        4.781089427949757,
        4.78110947858233,
        4.781129529214903,
        4.781149579847475,
        4.781169630480047,
        4.781189681112619,
        4.781209731745191,
        4.781229782377764,
        4.781249833010337,
        4.781269883642908,
        4.781289934275481,
        4.781309984908053,
        4.781330035540625,
        4.781350086173198,
        4.781370136805769,
        4.781390187438342,
        4.781410238070915,
        4.781430288703487,
        4.78145033933606,
        4.781470389968631,
        4.781490440601203,
        4.781510491233776,
        4.781530541866349,
        4.78155059249892,
        4.781570643131493,
        4.781590693764065,
        4.781610744396637,
        4.78163079502921,
        4.781650845661782,
        4.781670896294354,
        4.781690946926927,
        4.7817109975595,
        4.781731048192071,
        4.781751098824643,
        4.781771149457216,
        4.781791200089788,
        4.781811250722361,
        4.781831301354934,
        4.781851351987505,
        4.7818714026200775,
        4.78189145325265,
        4.7819115038852225,
        4.781931554517795,
        4.781951605150367,
        4.7819716557829395,
        4.7819917064155115,
        4.7820117570480845,
        4.782031807680656,
        4.7820518583132285,
        4.7820719089458015,
        4.7820919595783735,
        4.7821120102109465,
        4.782132060843517,
        4.78215211147609,
        4.782172162108663,
        4.782192212741235,
        4.782212263373808,
        4.78223231400638,
        4.782252364638951,
        4.782272415271524,
        4.782292465904097,
        4.782312516536669,
        4.782332567169241,
        4.782352617801814,
        4.782372668434386,
        4.782392719066958,
        4.782412769699531,
        4.782432820332102,
        4.782452870964675,
        4.782472921597248,
        4.78249297222982,
        4.782513022862391,
        4.782533073494964,
        4.782553124127536,
        4.782573174760109,
        4.782593225392682,
        4.782613276025253,
        4.782633326657826,
        4.782653377290398,
        4.78267342792297,
        4.782693478555543,
        4.782713529188115,
        4.782733579820687,
        4.78275363045326,
        4.782773681085833,
        4.782793731718404,
        4.782813782350976,
        4.782833832983549,
        4.782853883616121,
        4.782873934248694,
        4.782893984881267,
        4.782914035513837,
        4.78293408614641,
        4.782954136778982,
        4.782974187411555,
        4.782994238044127,
        4.783014288676699,
        4.783034339309272,
        4.783054389941844,
        4.783074440574416,
        4.783094491206988,
        4.783114541839561,
        4.783134592472133,
        4.783154643104706,
        4.783174693737278,
        4.783194744369849,
        4.783214795002422,
        4.783234845634995,
        4.783254896267567,
        4.78327494690014,
        4.783294997532712,
        4.783315048165283,
        4.783335098797856,
        4.783355149430429,
        4.783375200063,
        4.783395250695573,
        4.783415301328146,
        4.783435351960717,
        4.78345540259329,
        4.783475453225862,
        4.783495503858434,
        4.783515554491007,
        4.783675959551585,
        4.783696010184158,
        4.78371606081673,
        4.783736111449302,
        4.783756162081875,
        4.7837762127144465,
        4.7837962633470195,
        4.783816313979592,
        4.783836364612164,
        4.783856415244736,
        4.7838764658773085,
        4.783896516509881,
        4.7839165671424535,
        4.783936617775026,
        4.783956668407598,
        4.78397671904017,
        4.783996769672743,
        4.784016820305315,
        4.7840368709378875,
        4.78405692157046,
        4.784076972203032,
        4.784097022835604,
        4.784117073468177,
        4.784137124100749,
        4.784157174733321,
        4.784177225365894,
        4.784197275998466,
        4.784217326631039,
        4.784237377263611,
        4.784999301301358,
        4.7858013266042505,
        4.7858213772368225,
        4.785841427869395,
        4.7858614785019675,
        4.78588152913454,
        4.785901579767112,
        4.7859216303996845,
        4.785941681032257,
        4.785961731664829,
        4.785981782297401,
        4.786001832929974,
        4.786021883562546,
        4.786041934195119,
        4.7860619848276915,
        4.786082035460262,
        4.786102086092835,
        4.786122136725408,
        4.78614218735798,
        4.786162237990552,
        4.786182288623125,
        4.786202339255696,
        4.786222389888269,
        4.786242440520842,
        4.786262491153413,
        4.786282541785986,
        4.786302592418559,
        4.786322643051131,
        4.786342693683703,
        4.786362744316275,
        4.786382794948847,
        4.78640284558142,
        4.786422896213993,
        4.786442946846565,
        4.786462997479137,
        4.786483048111708,
        4.786503098744281,
        4.786523149376854,
        4.786543200009425,
        4.786563250641998,
        4.786583301274571,
        4.786603351907142,
        4.786623402539715,
        4.786643453172287,
        4.786663503804859,
        4.786683554437432,
        4.786703605070005,
        4.786723655702577,
        4.786743706335148,
        4.786763756967721,
        4.786783807600293,
        4.786803858232866,
        4.786823908865439,
        4.78684395949801,
        4.786864010130582,
        4.786884060763155,
        4.786904111395727,
        4.7869241620283,
        4.786944212660872,
        4.786964263293444,
        4.786984313926017,
        4.787004364558589,
        4.78702441519116,
        4.787044465823733,
        4.787064516456306,
        4.787084567088878,
        4.787104617721451,
        4.787124668354022,
        4.787144718986594,
        4.787164769619167,
        4.78718482025174,
        4.787204870884312,
        4.787224921516884,
        4.787244972149457,
        4.787265022782028,
        4.787285073414601,
        4.787305124047173,
        4.787325174679745,
        4.787345225312318,
        4.78736527594489,
        4.787385326577463,
        4.787405377210035,
        4.7874254278426065,
        4.787445478475179,
        4.787465529107752,
        4.787485579740324,
        4.7875056303728964,
        4.7875256810054685,
        4.7875457316380405,
        4.7875657822706135,
        4.787585832903186,
        4.787605883535758,
        4.7876259341683305,
        4.787645984800903,
        4.787666035433475,
        4.7876860860660475,
        4.7877061366986196,
        4.787726187331192,
        4.7877462379637645,
        4.7877662885963375,
        4.787786339228909,
        4.787806389861481,
        4.787826440494054,
        4.787846491126626,
        4.787866541759199,
        4.7878865923917715,
        4.787906643024343,
        4.787926693656915,
        4.787946744289488,
        4.78796679492206,
        4.787986845554632,
        4.788006896187205,
        4.788026946819777,
        4.788046997452349,
        4.788067048084922,
        4.788087098717493,
        4.788107149350066,
        4.788127199982638,
        4.788147250615211,
        4.788167301247784,
        4.788187351880354,
        4.788207402512927,
        4.7882274531455,
        4.788247503778072,
        4.788267554410645,
        4.788287605043217,
        4.788307655675788,
        4.788327706308361,
        4.788347756940934,
        4.788367807573505,
        4.788387858206078,
        4.788407908838651,
        4.788427959471223,
        4.788448010103795,
        4.788468060736367,
        4.788488111368939,
        4.788508162001512,
        4.788528212634085,
        4.788548263266657,
        4.788568313899229,
        4.788588364531801,
        4.788608415164373,
        4.788628465796946,
        4.788648516429519,
        4.78866856706209,
        4.788688617694663,
        4.788708668327235,
        4.788728718959807,
        4.78874876959238,
        4.788768820224952,
        4.788788870857524,
        4.788808921490097,
        4.78882897212267,
        4.78884902275524,
        4.788869073387813,
        4.788889124020386,
        4.788909174652958,
        4.788929225285531,
        4.788949275918102,
        4.788969326550674,
        4.788989377183247,
        4.789009427815819,
        4.789029478448392,
        4.789049529080964,
        4.789069579713536,
        4.789089630346109,
        4.789109680978681,
        4.789129731611253,
        4.789149782243825,
        4.789169832876398,
        4.78918988350897,
        4.789209934141543,
        4.789229984774116,
        4.7892500354066865,
        4.789270086039259,
        4.789290136671832,
        4.789310187304404,
        4.789330237936976,
        4.789350288569549,
        4.7893703392021205,
        4.7893903898346935,
        4.789410440467266,
        4.7894304910998375,
        4.7894505417324105,
        4.789470592364983,
        4.7894906429975554,
        4.7895106936301275,
        4.7895307442626995,
        4.789550794895272,
        4.7895708455278445,
        4.789590896160417,
        4.7896109467929895,
        4.789630997425561,
        4.789651048058134,
        4.789671098690706,
        4.7896911493232786,
        4.789711199955851,
        4.789731250588423,
        4.789751301220996,
        4.789771351853567,
        4.78979140248614,
        4.789811453118712,
        4.789831503751285,
        4.789851554383857,
        4.78987160501643,
        4.789891655649001,
        4.789911706281573,
        4.789931756914146,
        4.789951807546718,
        4.789971858179291,
        4.789991908811864,
        4.790011959444435,
        4.790032010077007,
        4.79005206070958,
        4.790072111342152,
        4.790092161974725,
        4.790112212607297,
        4.790132263239869,
        4.790152313872442,
        4.790172364505014,
        4.790192415137585,
        4.790212465770158,
        4.790232516402731,
        4.790252567035303,
        4.790272617667876,
        4.790292668300447,
        4.790312718933019,
        4.790332769565592,
        4.790352820198165,
        4.790372870830737,
        4.790392921463309,
        4.790412972095882,
        4.790433022728453,
        4.790453073361026,
        4.790473123993599,
        4.79049317462617,
        4.790513225258743,
        4.790533275891316,
        4.790553326523887,
        4.79057337715646,
        4.790593427789032,
        4.790613478421604,
        4.790633529054177,
        4.79065357968675,
        4.791174896133629,
        4.791194946766201,
        4.791214997398773,
        4.791235048031346,
        4.7912550986639175,
        4.7912751492964905,
        4.791295199929063,
        4.791315250561635,
        4.791335301194208,
        4.7913553518267795,
        4.791375402459352,
        4.7944531745592025,
        4.79761114918934,
        4.797631199821913,
        4.797651250454485,
        4.797671301087057,
        4.797691351719629,
        4.797711402352201,
        4.797731452984774,
        4.797751503617347,
        4.797771554249919,
        4.797791604882491,
        4.797811655515063,
        4.797831706147635,
        4.797851756780208,
        4.79787180741278,
        4.797891858045352,
        4.797911908677925,
        4.797931959310497,
        4.797952009943069,
        4.797972060575641,
        4.797992111208214,
        4.798012161840786,
        4.798032212473359,
        4.798052263105932,
        4.798072313738502,
        4.798092364371075,
        4.798112415003648,
        4.79813246563622,
        4.798152516268793,
        4.798172566901365,
        4.798192617533936,
        4.798212668166509,
        4.798232718799082,
        4.798252769431654,
        4.798272820064226,
        4.798292870696799,
        4.798312921329371,
        4.798332971961943,
        4.798353022594514,
        4.798373073227087,
        4.79839312385966,
        4.798413174492233,
        4.798433225124805,
        4.798453275757377,
        4.798473326389948,
        4.798493377022521,
        4.798513427655094,
        4.798533478287666,
        4.798553528920238,
        4.798573579552811,
        4.798593630185382,
        4.798613680817955,
        4.798633731450528,
        4.7986537820830995,
        4.798673832715672,
        4.798693883348245,
        4.798713933980817,
        4.798733984613389,
        4.7987540352459614,
        4.7987740858785335,
        4.798794136511106,
        4.798814187143679,
        4.7988342377762505,
        4.7988542884088226,
        4.7988743390413955,
        4.7988943896739675,
        4.7989144403065405,
        4.799034744101974,
        4.7990547947345465,
        4.799074845367119,
        4.7990948959996915,
        4.799114946632264,
        4.799134997264835,
        4.799155047897408,
        4.799175098529981,
        4.799195149162553,
        4.799215199795126,
        4.799235250427698,
        4.799255301060269,
        4.799275351692842,
        4.799295402325414,
        4.799315452957986,
        4.799335503590559,
        4.799355554223131,
        4.799375604855703,
        4.799395655488276,
        4.799415706120847,
        4.79943575675342,
        4.799455807385993,
        4.799475858018565,
        4.799495908651138,
        4.799515959283709,
        4.799536009916281,
        4.799556060548854,
        4.799576111181427,
        4.799596161813999,
        4.799616212446571,
        4.799636263079144,
        4.799656313711715,
        4.799676364344288,
        4.79969641497686,
        4.799716465609432,
        4.799736516242005,
        4.799756566874578,
        4.799776617507149,
        4.799796668139721,
        4.799816718772294,
        4.799836769404866,
        4.799856820037439,
        4.799876870670012,
        4.799896921302583,
        4.799916971935155,
        4.799937022567728,
        4.7999570732003,
        4.799977123832873,
        4.799997174465445,
        4.800017225098017,
        4.800037275730589,
        4.800057326363162,
        4.800077376995734,
        4.800097427628306,
        4.800117478260878,
        4.800137528893451,
        4.800157579526024,
        4.800177630158594,
        4.800197680791167,
        4.80021773142374,
        4.800237782056312,
        4.800257832688885,
        4.800277883321457,
        4.800297933954028,
        4.800317984586601,
        4.800338035219174,
        4.800358085851746,
        4.800378136484318,
        4.800398187116891,
        4.800418237749463,
        4.800438288382035,
        4.800458339014608,
        4.800478389647179,
        4.800498440279752,
        4.800518490912325,
        4.800538541544897,
        4.80055859217747,
        4.800578642810041,
        4.8005986934426135,
        4.800618744075186,
        4.800638794707759,
        4.8006588453403305,
        4.800678895972903,
        4.8006989466054755,
        4.8007189972380475,
        4.8007390478706204,
        4.8007590985031925,
        4.8007791491357645,
        4.8007991997683375,
        4.80081925040091,
        4.8008393010334816,
        4.800859351666054,
        4.8008794022986265,
        4.800899452931199,
        4.8009195035637715,
        4.800939554196344,
        4.800959604828915,
        4.800979655461488,
        4.800999706094061,
        4.801019756726633,
        4.8010398073592055,
        4.801059857991777,
        4.80107990862435,
        4.801099959256922,
        4.801120009889494,
        4.801140060522066,
        4.801160111154639,
        4.801180161787211,
        4.801200212419784,
        4.801220263052357,
        4.801240313684927,
        4.8012603643175,
        4.801280414950073,
        4.801300465582645,
        4.801320516215218,
        4.80134056684779,
        4.801360617480361,
        4.801380668112934,
        4.801400718745507,
        4.801420769378079,
        4.801440820010651,
        4.801460870643224,
        4.801480921275796,
        4.801500971908368,
        4.80152102254094,
        4.801541073173512,
        4.801561123806085,
        4.801581174438658,
        4.80160122507123,
        4.801801731396953,
        4.801821782029525,
        4.801841832662097,
        4.80186188329467,
        4.801881933927241,
        4.801901984559814,
        4.801922035192386,
        4.801942085824958,
        4.801962136457531,
        4.801982187090104,
        4.802002237722675,
        4.802022288355247,
        4.80204233898782,
        4.802062389620392,
        4.802082440252965,
        4.802102490885537,
        4.802122541518109,
        4.802142592150681,
        4.802162642783254,
        4.802182693415826,
        4.802202744048398,
        4.802222794680971,
        4.802242845313543,
        4.802262895946116,
        4.802282946578688,
        4.802302997211259,
        4.802323047843832,
        4.802343098476405,
        4.802363149108977,
        4.80238319974155,
        4.802403250374122,
        4.8024233010066935,
        4.802443351639266,
        4.802463402271839,
        4.8024834529044105,
        4.802503503536983,
        4.802523554169556,
        4.80264385796499,
        4.802663908597562,
        4.802683959230134,
        4.802704009862706,
        4.802724060495279,
        4.8027441111278515,
        4.8027641617604235,
        4.802784212392996,
        4.802804263025568,
        4.80282431365814,
        4.802844364290713,
        4.802864414923285,
        4.802884465555857,
        4.80290451618843,
        4.8029245668210025,
        4.802944617453574,
        4.802964668086146,
        4.802984718718719,
        4.803004769351291,
        4.803024819983864,
        4.803044870616437,
        4.803064921249007,
        4.80308497188158,
        4.803105022514153,
        4.803125073146725,
        4.803145123779298,
        4.80316517441187,
        4.803185225044442,
        4.803205275677014,
        4.803225326309587,
        4.803245376942159,
        4.803265427574731,
        4.803285478207304,
        4.803305528839876,
        4.803385731370165,
        4.803405782002738,
        4.80342583263531,
        4.803445883267882,
        4.803465933900454,
        4.803485984533026,
        4.803506035165599,
        4.803766693389038,
        4.803786744021611,
        4.803806794654184,
        4.803826845286755,
        4.803846895919328,
        4.8038669465519,
        4.803886997184472,
        4.803907047817045,
        4.803927098449617,
        4.803947149082189,
        4.803967199714762,
        4.803987250347335,
        4.804007300979906,
        4.804027351612478,
        4.804047402245051,
        4.804067452877623,
        4.804087503510196,
        4.804107554142769,
        4.804127604775339,
        4.804147655407912,
        4.804167706040485,
        4.804187756673057,
        4.80420780730563,
        4.804227857938202,
        4.804247908570774,
        4.804267959203346,
        4.804288009835919,
        4.8043080604684905,
        4.804328111101063,
        4.804348161733635,
        4.804368212366208,
        4.80438826299878,
        4.8044083136313525,
        4.8044283642639245,
        4.804448414896497,
        4.8044684655290695,
        4.804488516161642,
        4.8045085667942145,
        4.804528617426786,
        4.8045486680593585,
        4.8045687186919315,
        4.8045887693245035,
        4.804608819957076,
        4.8046288705896485,
        4.80464892122222,
        4.804668971854793,
        4.805029883241095,
        4.805049933873667,
        4.805069984506239,
        4.805090035138811,
        4.805110085771384,
        4.805130136403956,
        4.805150187036529,
        4.805170237669101,
        4.805190288301672,
        4.805210338934245,
        4.805230389566818,
        4.805310592097106,
        4.805330642729679,
        4.805350693362251,
        4.805370743994823,
        4.805390794627396,
        4.805410845259968,
        4.805430895892541,
        4.805450946525113,
        4.805470997157684,
        4.805491047790257,
        4.80551109842283,
        4.805531149055402,
        4.805551199687975,
        4.805571250320546,
        4.805591300953118,
        4.805611351585691,
        4.805631402218264,
        4.805651452850835,
        4.805671503483408,
        4.805691554115981,
        4.805711604748552,
        4.805731655381125,
        4.805751706013697,
        4.805771756646269,
        4.805791807278842,
        4.805811857911415,
        4.805831908543986,
        4.805851959176558,
        4.805872009809131,
        4.805892060441703,
        4.805912111074276,
        4.805932161706849,
        4.80595221233942,
        4.805972262971992,
        4.806052465502282,
        4.806072516134854,
        4.806092566767427,
        4.806112617399998,
        4.80613266803257,
        4.8062529718280045,
        4.806273022460577,
        4.8062930730931495,
        4.806313123725722,
        4.806333174358294,
        4.8063532249908665,
        4.8063732756234385,
        4.8063933262560115,
        4.8064133768885835,
        4.8064334275211555,
        4.8064534781537285,
        4.8064735287863005,
        4.806493579418873,
        4.806513630051445,
        4.806533680684017,
        4.80655373131659,
        4.8065737819491625,
        4.806593832581735,
        4.806613883214307,
        4.806633933846879,
        4.806653984479451,
        4.806674035112024,
        4.806694085744597,
        4.806714136377168,
        4.806734187009741,
        4.806754237642314,
        4.806774288274885,
        4.806794338907458,
        4.80681438954003,
        4.806834440172602,
        4.806854490805175,
        4.806874541437748,
        4.806894592070319,
        4.806914642702891,
        4.806934693335463,
        4.806954743968036,
        4.806974794600609,
        4.806994845233181,
        4.807014895865753,
        4.807034946498325,
        4.807054997130897,
        4.80707504776347,
        4.807095098396042,
        4.807115149028614,
        4.807135199661187,
        4.807155250293759,
        4.807175300926331,
        4.807195351558903,
        4.807215402191476,
        4.807235452824048,
        4.807255503456621,
        4.807275554089194,
        4.807295604721764,
        4.807315655354337,
        4.80733570598691,
        4.807355756619482,
        4.807375807252055,
        4.807395857884627,
        4.807415908517198,
        4.807435959149771,
        4.807456009782344,
        4.807476060414915,
        4.807496111047488,
        4.807516161680061,
        4.807536212312633,
        4.807556262945205,
        4.807576313577777,
        4.807596364210349,
        4.807616414842922,
        4.807636465475495,
        4.807656516108067,
        4.807676566740638,
        4.807696617373211,
        4.807716668005783,
        4.807736718638356,
        4.807756769270929,
        4.8077768199035,
        4.807796870536073,
        4.807816921168645,
        4.807836971801217,
        4.807857022433789,
        4.807877073066361,
        4.807897123698934,
        4.807917174331507,
        4.807937224964079,
        4.80795727559665,
        4.807977326229223,
        4.807997376861795,
        4.808017427494368,
        4.808037478126941,
        4.808057528759512,
        4.80837833888067,
        4.8083983895132425,
        4.8084184401458145,
        4.808438490778387,
        4.8084585414109595,
        4.808478592043531,
        4.808498642676104,
        4.8085186933086765,
        4.808538743941248,
        4.808558794573821,
        4.808578845206394,
        4.808598895838965,
        4.808618946471538,
        4.80863899710411,
        4.808659047736682,
        4.808679098369255,
        4.808699149001827,
        4.8087191996344,
        4.808739250266971,
        4.808759300899543,
        4.808779351532116,
        4.808799402164689,
        4.80881945279726,
        4.808839503429833,
        4.808859554062406,
        4.808879604694977,
        4.80889965532755,
        4.808919705960122,
        4.808939756592694,
        4.808959807225267,
        4.80897985785784,
        4.808999908490411,
        4.809019959122983,
        4.809040009755556,
        4.809060060388128,
        4.809080111020701,
        4.809100161653274,
        4.809120212285845,
        4.809140262918417,
        4.80916031355099,
        4.809180364183562,
        4.809200414816135,
        4.809220465448707,
        4.809240516081279,
        4.809260566713851,
        4.809280617346424,
        4.809300667978995,
        4.809320718611568,
        4.809340769244141,
        4.809360819876713,
        4.809380870509286,
        4.809400921141857,
        4.809420971774429,
        4.809441022407002,
        4.809461073039575,
        4.809481123672147,
        4.809501174304719,
        4.809521224937292,
        4.809541275569863,
        4.809561326202436,
        4.809581376835008,
        4.80960142746758,
        4.809621478100153,
        4.809641528732725,
        4.809661579365297,
        4.809681629997869,
        4.809701680630441,
        4.809721731263014,
        4.809741781895587,
        4.809761832528159,
        4.809862085691021,
        4.809882136323592,
        4.809902186956165,
        4.809922237588737,
        4.809942288221309,
        4.809962338853882,
        4.809982389486454,
        4.8100024401190264,
        4.810022490751599,
        4.810042541384172,
        4.8100625920167435,
        4.8100826426493155,
        4.810102693281888,
        4.8101227439144605,
        4.810142794547033,
        4.8101628451796055,
        4.810182895812177,
        4.8102029464447495,
        4.8102229970773225,
        4.8102430477098945,
        4.810263098342467,
        4.8102831489750395,
        4.8103031996076115,
        4.810323250240184,
        4.8103433008727565,
        4.810363351505328,
        4.810383402137901,
        4.810403452770473,
        4.810423503403046,
        4.810443554035618,
        4.810463604668189,
        4.810483655300762,
        4.810503705933335,
        4.810523756565907,
        4.81054380719848,
        4.810563857831052,
        4.810583908463623,
        4.810603959096196,
        4.810624009728769,
        4.81064406036134,
        4.810664110993913,
        4.810684161626486,
        4.810704212259058,
        4.81072426289163,
        4.810744313524202,
        4.810764364156774,
        4.810784414789347,
        4.81080446542192,
        4.810824516054492,
        4.810844566687063,
        4.810864617319636,
        4.810884667952208,
        4.811526288194521,
        4.811546338827094,
        4.811566389459667,
        4.811586440092239,
        4.811606490724811,
        4.811626541357384,
        4.811646591989955,
        4.813491250186608,
        4.815456212178694,
        4.815476262811266,
        4.815496313443839,
        4.815516364076411,
        4.815536414708984,
        4.815756971667279,
        4.8157770222998515,
        4.815797072932424,
        4.8158171235649965,
        4.8158371741975685,
        4.815857224830141,
        4.815877275462713,
        4.8158973260952855,
        4.8159173767278585,
        4.81593742736043,
        4.8159574779930026,
        4.815977528625575,
        4.815997579258147,
        4.816017629890719,
        4.816037680523292,
        4.816057731155864,
        4.816077781788437,
        4.8160978324210095,
        4.81611788305358,
        4.816137933686153,
        4.816157984318726,
        4.816178034951298,
        4.816198085583871,
        4.816218136216443,
        4.816238186849015,
        4.816258237481587,
        4.81627828811416,
        4.816298338746732,
        4.816318389379304,
        4.816338440011877,
        4.816358490644449,
        4.816378541277021,
        4.816398591909594,
        4.816418642542165,
        4.816438693174738,
        4.81645874380731,
        4.816478794439883,
        4.816498845072455,
        4.816518895705026,
        4.816538946337599,
        4.816558996970172,
        4.816579047602744,
        4.816599098235316,
        4.816619148867889,
        4.81663919950046,
        4.816659250133033,
        4.816679300765606,
        4.816699351398177,
        4.81671940203075,
        4.816739452663323,
        4.816759503295895,
        4.816779553928467,
        4.816799604561039,
        4.816819655193611,
        4.816839705826184,
        4.816859756458757,
        4.817100364049624,
        4.817120414682196,
        4.817140465314769,
        4.817160515947342,
        4.817180566579912,
        4.817200617212485,
        4.817220667845058,
        4.81724071847763,
        4.817260769110203,
        4.817280819742774,
        4.817300870375346,
        4.817320921007919,
        4.817340971640491,
        4.817361022273064,
        4.817381072905636,
        4.817401123538208,
        4.817421174170781,
        4.817441224803353,
        4.8174612754359245,
        4.817481326068497,
        4.81750137670107,
        4.817521427333642,
        4.817541477966215,
        4.8175615285987865,
        4.8175815792313585,
        4.8176016298639315,
        4.817621680496504,
        4.8176417311290765,
        4.8176617817616485,
        4.817681832394221,
        4.817701883026793,
        4.8177219336593655,
        4.8177419842919385,
        4.81776203492451,
        4.8177820855570825,
        4.81828335137139,
        4.818303402003963,
        4.818323452636535,
        4.818343503269107,
        4.818363553901679,
        4.818383604534252,
        4.818403655166824,
        4.818423705799396,
        4.818443756431969,
        4.818463807064541,
        4.818483857697113,
        4.821240819675806,
        4.824158186715076,
        4.824178237347648,
        4.824198287980221,
        4.824218338612793,
        4.824238389245366,
        4.824258439877939,
        4.824278490510509,
        4.824298541143082,
        4.824318591775655,
        4.824338642408227,
        4.8243586930408,
        4.824378743673372,
        4.824398794305944,
        4.824418844938516,
        4.824438895571089,
        4.824458946203661,
        4.824478996836233,
        4.824499047468806,
        4.824519098101378,
        4.824539148733951,
        4.824559199366523,
        4.824579249999094,
        4.824599300631667,
        4.82461935126424,
        4.824639401896812,
        4.824659452529384,
        4.824679503161956,
        4.824699553794528,
        4.824719604427101,
        4.824739655059674,
        4.824759705692245,
        4.824779756324818,
        4.824799806957391,
        4.824819857589962,
        4.824839908222535,
        4.824859958855107,
        4.824880009487679,
        4.824900060120252,
        4.824920110752825,
        4.824940161385396,
        4.824960212017968,
        4.8249802626505405,
        4.825000313283113,
        4.825020363915686,
        4.825040414548258,
        4.82506046518083,
        4.825381275301988,
        4.82540132593456,
        4.825521629729994,
        4.825541680362566,
        4.825561730995139,
        4.825581781627711,
        4.825601832260283,
        4.825621882892855,
        4.825641933525427,
        4.825661984158,
        4.825682034790573,
        4.825702085423145,
        4.825722136055717,
        4.825742186688289,
        4.825762237320861,
        4.825782287953434,
        4.825802338586007,
        4.825822389218578,
        4.825842439851151,
        4.825862490483722,
        4.825882541116295,
        4.825902591748868,
        4.825922642381439,
        4.825942693014012,
        4.825962743646585,
        4.825982794279157,
        4.826203351237452,
        4.826223401870024,
        4.826243452502597,
        4.826263503135169,
        4.826283553767741,
        4.826303604400313,
        4.826323655032886,
        4.826343705665458,
        4.826363756298031,
        4.826383806930604,
        4.826403857563174,
        4.826423908195747,
        4.82644395882832,
        4.826464009460892,
        4.826484060093464,
        4.826504110726037,
        4.826524161358608,
        4.826544211991181,
        4.826564262623754,
        4.826584313256325,
        4.826604363888898,
        4.826624414521471,
        4.826644465154043,
        4.826664515786615,
        4.826684566419186,
        4.826704617051759,
        4.826724667684332,
        4.826744718316904,
        4.826764768949477,
        4.826784819582048,
        4.8268048702146205,
        4.826824920847193,
        4.826844971479766,
        4.826865022112338,
        4.82688507274491,
        4.826905123377483,
        4.8269251740100545,
        4.826945224642627,
        4.8269652752751995,
        4.8269853259077715,
        4.8270053765403445,
        4.827025427172917,
        4.8270454778054885,
        4.827065528438061,
        4.8270855790706335,
        4.827105629703206,
        4.8271256803357785,
        4.827145730968351,
        4.827165781600923,
        4.827185832233495,
        4.8272058828660676,
        4.82722593349864,
        4.8272459841312125,
        4.827266034763785,
        4.827286085396357,
        4.8273061360289296,
        4.827326186661502,
        4.827346237294074,
        4.827366287926646,
        4.827386338559219,
        4.827406389191791,
        4.827426439824364,
        4.827446490456935,
        4.827466541089507,
        4.82748659172208,
        4.827506642354652,
        4.827526692987225,
        4.827546743619797,
        4.827566794252369,
        4.827586844884941,
        4.827606895517514,
        4.827626946150086,
        4.827646996782658,
        4.827667047415231,
        4.827687098047803,
        4.827707148680375,
        4.827727199312948,
        4.827747249945519,
        4.827767300578092,
        4.827787351210665,
        4.827807401843237,
        4.827827452475809,
        4.827847503108381,
        4.827867553740953,
        4.827887604373526,
        4.827907655006099,
        4.82792770563867,
        4.827947756271243,
        4.827967806903815,
        4.828148262596966,
        4.828168313229538,
        4.828188363862111,
        4.828208414494684,
        4.828228465127254,
        4.828248515759827,
        4.8282685663924,
        4.828288617024972,
        4.828308667657544,
        4.828328718290116,
        4.828348768922689,
        4.828368819555261,
        4.828388870187834,
        4.828408920820405,
        4.828428971452978,
        4.82844902208555,
        4.828469072718123,
        4.828489123350696,
        4.828509173983266,
        4.828529224615839,
        4.828549275248412,
        4.828569325880984,
        4.828589376513557,
        4.828609427146129,
        4.8286294777787,
        4.828649528411273,
        4.828669579043846,
        4.828689629676418,
        4.82870968030899,
        4.828729730941563,
        4.828749781574135,
        4.828769832206707,
        4.8287898828392795,
        4.8288099334718515,
        4.828829984104424,
        4.828850034736997,
        4.828970338532431,
        4.828990389165003,
        4.8290104397975755,
        4.8290304904301475,
        4.82905054106272,
        4.8290705916952925,
        4.829090642327865,
        4.829110692960437,
        4.8291307435930095,
        4.8291507942255825,
        4.829170844858153,
        4.829190895490726,
        4.829210946123299,
        4.829230996755871,
        4.829251047388444,
        4.829271098021015,
        4.829291148653587,
        4.82931119928616,
        4.829331249918732,
        4.829351300551305,
        4.829371351183877,
        4.829391401816449,
        4.829411452449022,
        4.829431503081594,
        4.829451553714166,
        4.829471604346738,
        4.829491654979311,
        4.829511705611883,
        4.829531756244456,
        4.829551806877028,
        4.829571857509599,
        4.829591908142172,
        4.830033022058764,
        4.830053072691335,
        4.830073123323908,
        4.830093173956479,
        4.830113224589052,
        4.830133275221624,
        4.830153325854197,
        4.830173376486769,
        4.830193427119342,
        4.830213477751913,
        4.830233528384485,
        4.830253579017058,
        4.83027362964963,
        4.830293680282203,
        4.830313730914776,
        4.830333781547347,
        4.830353832179919,
        4.830373882812492,
        4.830393933445064,
        4.830413984077637,
        4.830434034710209,
        4.830454085342781,
        4.830474135975353,
        4.830494186607926,
        4.830514237240498,
        4.83053428787307,
        4.830554338505643,
        4.830574389138215,
        4.830594439770788,
        4.830614490403359,
        4.8306345410359315,
        4.830654591668504,
        4.830674642301077,
        4.830694692933649,
        4.830714743566221,
        4.8307347941987935,
        4.8307548448313655,
        4.8307748954639385,
        4.830794946096511,
        4.8308149967290825,
        4.8308350473616555,
        4.830855097994228,
        4.8308751486268,
        4.8308951992593725,
        4.831256110645675,
        4.831276161278246,
        4.831296211910818,
        4.831316262543391,
        4.831336313175963,
        4.831356363808536,
        4.831376414441109,
        4.831396465073679,
        4.831416515706252,
        4.831496718236542,
        4.831516768869114,
        4.831536819501686,
        4.831556870134259,
        4.83157692076683,
        4.831596971399403,
        4.831617022031976,
        4.831637072664548,
        4.83165712329712,
        4.831677173929692,
        4.831697224562264,
        4.831717275194837,
        4.83173732582741,
        4.831757376459982,
        4.831777427092554,
        4.831797477725126,
        4.831817528357698,
        4.831837578990271,
        4.831857629622843,
        4.831877680255415,
        4.831897730887988,
        4.831917781520559,
        4.831937832153132,
        4.831957882785704,
        4.831977933418276,
        4.831997984050849,
        4.832018034683422,
        4.832038085315994,
        4.832058135948565,
        4.832078186581138,
        4.83209823721371,
        4.832118287846283,
        4.832138338478856,
        4.832218541009144,
        4.832238591641717,
        4.832258642274289,
        4.832278692906861,
        4.832398996702295,
        4.832419047334868,
        4.83243909796744,
        4.8324591486000115,
        4.832479199232584,
        4.832499249865157,
        4.832519300497729,
        4.832539351130301,
        4.832559401762874,
        4.8325794523954455,
        4.832599503028018,
        4.832619553660591,
        4.8326396042931625,
        4.8326596549257355,
        4.8326797055583075,
        4.83269975619088,
        4.8327198068234525,
        4.832739857456024,
        4.832759908088597,
        4.8327799587211695,
        4.8328000093537415,
        4.832820059986314,
        4.8328401106188865,
        4.832860161251458,
        4.832880211884031,
        4.8329002625166035,
        4.832920313149175,
        4.832940363781748,
        4.832960414414321,
        4.832980465046892,
        4.833000515679465,
        4.833020566312037,
        4.833040616944609,
        4.833060667577182,
        4.833080718209755,
        4.833100768842327,
        4.833120819474898,
        4.833140870107471,
        4.833160920740043,
        4.833180971372616,
        4.833201022005189,
        4.833541882758917,
        4.833561933391489,
        4.833581984024062,
        4.833602034656634,
        4.833622085289206,
        4.833642135921778,
        4.833662186554351,
        4.833682237186923,
        4.833702287819495,
        4.833722338452068,
        4.83374238908464,
        4.833762439717212,
        4.833782490349784,
        4.833802540982356,
        4.833822591614929,
        4.833842642247502,
        4.833862692880074,
        4.833882743512646,
        4.833902794145218,
        4.83392284477779,
        4.833942895410363,
        4.833962946042936,
        4.833982996675507,
        4.83400304730808,
        4.834023097940653,
        4.834043148573224,
        4.834063199205797,
        4.834083249838369,
        4.834103300470941,
        4.834123351103514,
        4.834424110592098,
        4.8344441612246705,
        4.8344642118572425,
        4.834484262489815,
        4.8345043131223875,
        4.83452436375496,
        4.834544414387533,
        4.834564465020104,
        4.8345845156526766,
        4.8346045662852495,
        4.8346246169178215,
        4.834644667550394,
        4.8346647181829665,
        4.834684768815538,
        4.834704819448111,
        4.8347248700806835,
        4.834744920713255,
        4.834764971345828,
        4.8347850219784005,
        4.834805072610973,
        4.834825123243545,
        4.834845173876117,
        4.834865224508689,
        4.834885275141262,
        4.834905325773835,
        4.834925376406407,
        4.834945427038979,
        4.834965477671551,
        4.834985528304123,
        4.835005578936696,
        4.835025629569269,
        4.83504568020184,
        4.835065730834413,
        4.835085781466985,
        4.835105832099557,
        4.835125882732129,
        4.835145933364702,
        4.835165983997274,
        4.835186034629847,
        4.83520608526242,
        4.83522613589499,
        4.835246186527563,
        4.835266237160135,
        4.835286287792708,
        4.835306338425281,
        4.835326389057852,
        4.835346439690424,
        4.835366490322997,
        4.835386540955569,
        4.835406591588142,
        4.835426642220714,
        4.835446692853286,
        4.835466743485859,
        4.835486794118431,
        4.835506844751003,
        4.835526895383575,
        4.835546946016148,
        4.83556699664872,
        4.835587047281293,
        4.835607097913865,
        4.835627148546436,
        4.835647199179009,
        4.835667249811582,
        4.835687300444154,
        4.835707351076726,
        4.835727401709299,
        4.83574745234187,
        4.835847705504733,
        4.835867756137305,
        4.835887806769877,
        4.835907857402449,
        4.835927908035021,
        4.835947958667594,
        4.835968009300167,
        4.835988059932738,
        4.83600811056531,
        4.836028161197883,
        4.836048211830455,
        4.836068262463028,
        4.836088313095599,
        4.836108363728172,
        4.836128414360745,
        4.836148464993316,
        4.836168515625889,
        4.836188566258461,
        4.836208616891033,
        4.836228667523606,
        4.836248718156179,
        4.8362687687887504,
        4.8362888194213225,
        4.836308870053895,
        4.8363289206864675,
        4.83634897131904,
        4.836369021951613,
        4.8363890725841845,
        4.8364091232167565,
        4.8364291738493295,
        4.8364492244819015,
        4.8364692751144736,
        4.8364893257470465,
        4.8365093763796185,
        4.836529427012191,
        4.8365494776447635,
        4.836569528277335,
        4.836589578909908,
        4.8366096295424805,
        4.836629680175053,
        4.8366497308076255,
        4.836669781440197,
        4.836689832072769,
        4.836709882705342,
        4.836729933337915,
        4.836749983970487,
        4.836770034603059,
        4.836790085235632,
        4.836810135868203,
        4.837411654845373,
        4.837431705477945,
        4.837451756110516,
        4.837471806743089,
        4.837491857375662,
        4.837511908008234,
        4.837531958640806,
        4.839396667470031,
        4.841461882624978,
        4.841481933257551,
        4.841501983890123,
        4.841522034522696,
        4.841542085155268,
        4.841562135787839,
        4.841582186420412,
        4.841602237052985,
        4.841622287685557,
        4.84164233831813,
        4.841662388950702,
        4.841682439583273,
        4.841702490215846,
        4.841722540848419,
        4.841742591480991,
        4.841762642113563,
        4.841782692746136,
        4.841802743378707,
        4.84182279401128,
        4.841842844643853,
        4.841862895276424,
        4.841882945908997,
        4.84190299654157,
        4.841923047174142,
        4.8419430978067135,
        4.841963148439286,
        4.8419831990718585,
        4.842003249704431,
        4.842023300337004,
        4.8420433509695755,
        4.8420634016021475,
        4.84208345223472,
        4.8421035028672925,
        4.8421235534998655,
        4.842143604132437,
        4.8421636547650095,
        4.8421837053975825,
        4.842203756030154,
        4.842223806662727,
        4.842243857295299,
        4.842263907927871,
        4.842283958560444,
        4.8423040091930165,
        4.842324059825588,
        4.84234411045816,
        4.842364161090733,
        4.842384211723305,
        4.842404262355878,
        4.843346642086776,
        4.844529629408543,
        4.844549680041115,
        4.844569730673686,
        4.844589781306259,
        4.844609831938832,
        4.844629882571403,
        4.844649933203976,
        4.844669983836548,
        4.844690034469121,
        4.844710085101693,
        4.844730135734264,
        4.844750186366837,
        4.84477023699941,
        4.844790287631982,
        4.844810338264555,
        4.844830388897126,
        4.844850439529698,
        4.844870490162271,
        4.844890540794844,
        4.844910591427416,
        4.844930642059988,
        4.844950692692561,
        4.844970743325132,
        4.844990793957705,
        4.845010844590278,
        4.845030895222849,
        4.845050945855422,
        4.845070996487995,
        4.845091047120567,
        4.845111097753138,
        4.845131148385711,
        4.845151199018283,
        4.845171249650856,
        4.845191300283429,
        4.845211350916,
        4.845231401548572,
        4.845251452181145,
        4.845271502813717,
        4.84529155344629,
        4.845311604078862,
        4.845331654711434,
        4.845351705344007,
        4.845371755976579,
        4.845391806609151,
        4.845411857241723,
        4.845431907874296,
        4.845451958506868,
        4.845472009139441,
        4.8454920597720115,
        4.845512110404584,
        4.845532161037157,
        4.84555221166973,
        4.845572262302302,
        4.845592312934874,
        4.845612363567446,
        4.8456324142000184,
        4.845652464832591,
        4.845672515465163,
        4.8456925660977355,
        4.845712616730308,
        4.84573266736288,
        4.8457527179954525,
        4.845772768628025,
        4.845792819260597,
        4.8458128698931695,
        4.845832920525742,
        4.8458529711583145,
        4.845873021790887,
        4.845893072423459,
        4.845913123056031,
        4.8459331736886035,
        4.8459532243211765,
        4.845973274953748,
        4.845993325586321,
        4.8460133762188935,
        4.846033426851465,
        4.846053477484038,
        4.84607352811661,
        4.846093578749182,
        4.846113629381755,
        4.8461336800143275,
        4.846153730646899,
        4.846173781279471,
        4.846193831912044,
        4.846213882544616,
        4.846233933177189,
        4.846253983809762,
        4.846274034442333,
        4.846294085074905,
        4.846314135707478,
        4.84633418634005,
        4.846354236972623,
        4.846374287605195,
        4.846394338237767,
        4.846414388870339,
        4.846434439502911,
        4.846454490135483,
        4.846474540768056,
        4.846494591400628,
        4.846514642033201,
        4.846534692665774,
        4.846554743298344,
        4.846574793930917,
        4.84659484456349,
        4.846614895196062,
        4.846634945828635,
        4.846654996461207,
        4.846675047093778,
        4.846695097726351,
        4.846715148358924,
        4.846735198991496,
        4.846755249624068,
        4.846775300256641,
        4.846795350889213,
        4.846815401521785,
        4.846835452154358,
        4.846855502786929,
        4.846875553419502,
        4.846895604052075,
        4.846915654684647,
        4.846935705317219,
        4.846955755949791,
        4.846975806582363,
        4.846995857214936,
        4.847015907847509,
        4.84703595848008,
        4.847056009112653,
        4.847076059745225,
        4.847096110377797,
        4.84711616101037,
        4.847136211642942,
        4.847156262275514,
        4.847176312908087,
        4.84719636354066,
        4.847216414173231,
        4.847236464805803,
        4.847256515438375,
        4.847276566070948,
        4.847296616703521,
        4.847316667336092,
        4.847336717968664,
        4.847356768601237,
        4.847376819233809,
        4.847396869866382,
        4.847416920498954,
        4.847436971131526,
        4.847457021764099,
        4.847477072396671,
        4.847497123029243,
        4.8475171736618154,
        4.847537224294388,
        4.84755727492696,
        4.847577325559533,
        4.847597376192105,
        4.847617426824677,
        4.8476374774572495,
        4.847657528089822,
        4.8476775787223945,
        4.848098642006413,
        4.848118692638986,
        4.848138743271557,
        4.84815879390413,
        4.848178844536703,
        4.848198895169274,
        4.848218945801847,
        4.84823899643442,
        4.848259047066991,
        4.848279097699563,
        4.848299148332136,
        4.848319198964708,
        4.848339249597281,
        4.848359300229854,
        4.848379350862425,
        4.848399401494997,
        4.84841945212757,
        4.848439502760142,
        4.848459553392715,
        4.848479604025287,
        4.848499654657859,
        4.848519705290431,
        4.848539755923004,
        4.848559806555576,
        4.848579857188148,
        4.848599907820721,
        4.848619958453293,
        4.848640009085866,
        4.848660059718438,
        4.848680110351009,
        4.848700160983582,
        4.848720211616155,
        4.848740262248727,
        4.848760312881299,
        4.848780363513872,
        4.848800414146443,
        4.848820464779016,
        4.848840515411589,
        4.84886056604416,
        4.848880616676733,
        4.848900667309305,
        4.848920717941877,
        4.84894076857445,
        4.848960819207022,
        4.848980869839594,
        4.849000920472167,
        4.849020971104739,
        4.849041021737312,
        4.849061072369883,
        4.849081123002455,
        4.849101173635028,
        4.849121224267601,
        4.849141274900172,
        4.849161325532745,
        4.849181376165317,
        4.849201426797889,
        4.849221477430462,
        4.849241528063034,
        4.849261578695606,
        4.849281629328179,
        4.849301679960752,
        4.849321730593323,
        4.849341781225895,
        4.849361831858468,
        4.84938188249104,
        4.849401933123613,
        4.849421983756186,
        4.8494420343887565,
        4.8494620850213295,
        4.849482135653902,
        4.8495021862864744,
        4.849522236919047,
        4.849542287551619,
        4.8495623381841915,
        4.8495823888167635,
        4.849602439449336,
        4.849622490081908,
        4.8496425407144805,
        4.8496625913470535,
        4.8496826419796255,
        4.849702692612198,
        4.84972274324477,
        4.849742793877342,
        4.849762844509915,
        4.8497828951424875,
        4.8498029457750595,
        4.849822996407632,
        4.849843047040203,
        4.849863097672776,
        4.849883148305349,
        4.849903198937921,
        4.849923249570493,
        4.849943300203066,
        4.849963350835638,
        4.84998340146821,
        4.850003452100783,
        4.850023502733354,
        4.850043553365927,
        4.8500636039985,
        4.850083654631072,
        4.850103705263643,
        4.850123755896216,
        4.850143806528788,
        4.850163857161361,
        4.850183907793934,
        4.850203958426505,
        4.850224009059078,
        4.85024405969165,
        4.850264110324222,
        4.850284160956795,
        4.850304211589367,
        4.850324262221939,
        4.850344312854512,
        4.850364363487084,
        4.850384414119656,
        4.850404464752228,
        4.850424515384801,
        4.850444566017373,
        4.850464616649946,
        4.850484667282518,
        4.850504717915089,
        4.850524768547662,
        4.850544819180235,
        4.850564869812807,
        4.850584920445379,
        4.850604971077952,
        4.850625021710524,
        4.850645072343096,
        4.850665122975668,
        4.85068517360824,
        4.850705224240813,
        4.850725274873385,
        4.850745325505958,
        4.85076537613853,
        4.850785426771101,
        4.850805477403674,
        4.850825528036247,
        4.850845578668819,
        4.850865629301392,
        4.850885679933964,
        4.850905730566535,
        4.850925781199108,
        4.850945831831681,
        4.850965882464252,
        4.850985933096825,
        4.851005983729398,
        4.851026034361969,
        4.851046084994542,
        4.851066135627114,
        4.851086186259686,
        4.851106236892259,
        4.851126287524832,
        4.851146338157404,
        4.851166388789975,
        4.851186439422548,
        4.85120649005512,
        4.851226540687693,
        4.851246591320266,
        4.851266641952837,
        4.8512866925854095,
        4.851747857134573,
        4.851767907767146,
        4.851787958399718,
        4.851808009032291,
        4.851828059664863,
        4.851848110297434,
        4.851868160930007,
        4.85188821156258,
        4.851908262195152,
        4.851928312827724,
        4.851948363460296,
        4.851968414092868,
        4.851988464725441,
        4.852008515358014,
        4.852028565990585,
        4.852048616623158,
        4.852068667255731,
        4.852088717888302,
        4.852108768520875,
        4.852128819153447,
        4.852148869786019,
        4.852168920418592,
        4.852188971051165,
        4.852209021683736,
        4.852229072316308,
        4.852249122948881,
        4.852269173581453,
        4.852289224214026,
        4.852309274846598,
        4.85232932547917,
        4.852349376111742,
        4.852369426744315,
        4.852389477376887,
        4.852409528009459,
        4.852429578642031,
        4.852449629274604,
        4.852469679907177,
        4.852489730539748,
        4.85250978117232,
        4.852529831804893,
        4.852549882437465,
        4.852569933070038,
        4.852589983702611,
        4.852610034335181,
        4.852630084967754,
        4.852650135600327,
        4.852670186232899,
        4.852690236865472,
        4.852710287498044,
        4.852730338130616,
        4.852750388763188,
        4.852770439395761,
        4.852790490028332,
        4.852810540660905,
        4.852830591293478,
        4.85285064192605,
        4.852870692558622,
        4.852890743191194,
        4.852910793823766,
        4.852930844456339,
        4.852950895088912,
        4.852970945721484,
        4.852990996354056,
        4.853341882424072,
        4.853973477350099,
        4.853993527982672,
        4.854013578615245,
        4.854033629247817,
        4.854053679880388,
        4.854073730512961,
        4.854093781145533,
        4.854113831778106,
        4.854133882410677,
        4.85415393304325,
        4.854173983675823,
        4.854194034308394,
        4.854214084940967,
        4.854234135573539,
        4.854254186206111,
        4.854274236838684,
        4.854294287471257,
        4.854314338103828,
        4.8543343887364,
        4.854354439368973,
        4.854374490001545,
        4.854394540634118,
        4.854414591266691,
        4.854434641899262,
        4.854454692531834,
        4.854474743164407,
        4.854494793796979,
        4.854514844429552,
        4.854534895062124,
        4.854554945694696,
        4.854574996327269,
        4.854595046959841,
        4.854615097592412,
        4.854635148224985,
        4.854655198857558,
        4.85467524949013,
        4.854695300122703,
        4.854715350755274,
        4.854735401387846,
        4.854755452020419,
        4.854775502652992,
        4.854795553285564,
        4.854815603918136,
        4.854835654550709,
        4.85485570518328,
        4.854875755815853,
        4.854895806448426,
        4.854915857080997,
        4.855377021630161,
        4.855397072262733,
        4.855417122895306,
        4.855437173527878,
        4.855457224160451,
        4.855477274793023,
        4.855497325425595,
        4.855517376058167,
        4.85553742669074,
        4.855557477323312,
        4.855577527955884,
        4.855597578588457,
        4.855617629221029,
        4.855637679853601,
        4.855657730486174,
        4.855677781118745,
        4.855697831751318,
        4.855717882383891,
        4.855737933016463,
        4.855757983649036,
        4.855778034281607,
        4.855798084914179,
        4.855818135546752,
        4.855838186179324,
        4.855858236811897,
        4.855878287444469,
        4.85589833807704,
        4.855918388709613,
        4.855938439342186,
        4.855958489974757,
        4.85597854060733,
        4.855998591239903,
        4.856018641872475,
        4.856038692505047,
        4.856058743137619,
        4.856078793770191,
        4.856098844402764,
        4.856118895035337,
        4.856138945667909,
        4.856158996300481,
        4.856179046933053,
        4.856199097565625,
        4.856219148198198,
        4.856239198830771,
        4.856259249463342,
        4.856279300095915,
        4.856299350728487,
        4.856319401361059,
        4.856339451993632,
        4.856359502626204,
        4.856379553258776,
        4.856399603891349,
        4.856419654523922,
        4.856439705156492,
        4.856459755789065,
        4.856479806421638,
        4.85649985705421,
        4.856519907686783,
        4.856539958319355,
        4.856560008951926,
        4.856580059584499,
        4.856600110217072,
        4.856620160849644,
        4.856640211482216,
        4.856660262114788,
        4.856680312747361,
        4.856700363379933,
        4.856720414012505,
        4.856740464645077,
        4.85676051527765,
        4.856780565910222,
        4.856800616542795,
        4.856820667175367,
        4.8568407178079385,
        4.856860768440511,
        4.856880819073084,
        4.856900869705656,
        4.856920920338228,
        4.856940970970801,
        4.8569610216033725,
        4.856981072235945,
        4.857001122868518,
        4.8570211735010895,
        4.8570412241336625,
        4.857061274766235,
        4.8570813253988065,
        4.8571013760313795,
        4.8571214266639515,
        4.857141477296524,
        4.8571615279290965,
        4.857181578561669,
        4.8572016291942415,
        4.857221679826813,
        4.857241730459386,
        4.857261781091958,
        4.8572818317245305,
        4.857301882357103,
        4.857321932989675,
        4.857341983622248,
        4.85736203425482,
        4.857382084887392,
        4.857402135519964,
        4.857422186152537,
        4.857442236785109,
        4.857462287417682,
        4.857482338050253,
        4.857502388682825,
        4.857522439315398,
        4.857542489947971,
        4.857562540580543,
        4.857582591213116,
        4.857602641845687,
        4.857622692478259,
        4.857642743110832,
        4.857662793743404,
        4.857682844375977,
        4.857702895008549,
        4.857722945641121,
        4.857742996273693,
        4.857763046906266,
        4.857783097538837,
        4.85780314817141,
        4.857823198803983,
        4.857843249436555,
        4.857863300069128,
        4.857883350701699,
        4.857903401334271,
        4.857923451966844,
        4.857943502599417,
        4.857963553231989,
        4.857983603864561,
        4.858003654497134,
        4.858023705129705,
        4.858043755762278,
        4.858063806394851,
        4.858083857027422,
        4.858103907659995,
        4.858123958292568,
        4.858144008925139,
        4.858164059557712,
        4.858184110190284,
        4.858204160822856,
        4.858224211455429,
        4.858244262088002,
        4.858264312720573,
        4.858284363353145,
        4.858304413985718,
        4.85832446461829,
        4.858344515250863,
        4.858364565883435,
        4.858384616516007,
        4.858404667148579,
        4.858424717781151,
        4.858444768413724,
        4.858464819046296,
        4.858484869678868,
        4.858504920311441,
        4.858524970944014,
        4.858545021576585,
        4.858565072209157,
        4.85858512284173,
        4.8589861354931765,
        4.859006186125749,
        4.8590262367583215,
        4.8590462873908935,
        4.8590663380234655,
        4.859086388656038,
        4.8591064392886105,
        4.859126489921183,
        4.859146540553755,
        4.8591665911863275,
        4.8591866418189005,
        4.859206692451472,
        4.859226743084044,
        4.859246793716616,
        4.859266844349189,
        4.859286894981762,
        4.859306945614334,
        4.859326996246905,
        4.859347046879478,
        4.85936709751205,
        4.859387148144623,
        4.859407198777196,
        4.859427249409767,
        4.85944730004234,
        4.859467350674912,
        4.859487401307484,
        4.859507451940057,
        4.859527502572629,
        4.859547553205201,
        4.859567603837774,
        4.859587654470346,
        4.859607705102917,
        4.85962775573549,
        4.859647806368063,
        4.859667857000635,
        4.859687907633208,
        4.85970795826578,
        4.859728008898351,
        4.859748059530924,
        4.859768110163497,
        4.859788160796069,
        4.859808211428641,
        4.859828262061214,
        4.859848312693785,
        4.859868363326358,
        4.859888413958931,
        4.859908464591502,
        4.859928515224075,
        4.859948565856648,
        4.85996861648922,
        4.859988667121792,
        4.860008717754364,
        4.860028768386936,
        4.860048819019509,
        4.860068869652081,
        4.860088920284653,
        4.860108970917226,
        4.860129021549798,
        4.86014907218237,
        4.860169122814943,
        4.860189173447514,
        4.860209224080087,
        4.86022927471266,
        4.860249325345231,
        4.860269375977804,
        4.860289426610376,
        4.860309477242948,
        4.860329527875521,
        4.860349578508094,
        4.860369629140666,
        4.860389679773237,
        4.86040973040581,
        4.860429781038382,
        4.860449831670955,
        4.860469882303527,
        4.860489932936099,
        4.860509983568671,
        4.860530034201244,
        4.860550084833816,
        4.860570135466388,
        4.860590186098961,
        4.860610236731533,
        4.860630287364106,
        4.860650337996678,
        4.8606703886292495,
        4.860690439261822,
        4.860710489894395,
        4.860730540526967,
        4.86075059115954,
        4.860770641792112,
        4.8607906924246835,
        4.8608107430572565,
        4.860830793689829,
        4.860850844322401,
        4.8608708949549735,
        4.860890945587546,
        4.860910996220118,
        4.8609310468526905,
        4.8609510974852626,
        4.860971148117835,
        4.8609911987504075,
        4.86101124938298,
        4.8610313000155525,
        4.861051350648124,
        4.861071401280696,
        4.861091451913269,
        4.861111502545842,
        4.861131553178414,
        4.861151603810986,
        4.861171654443558,
        4.86119170507613,
        4.861211755708703,
        4.861231806341276,
        4.861251856973847,
        4.86127190760642,
        4.861291958238993,
        4.861312008871564,
        4.861332059504137,
        4.861352110136709,
        4.861372160769281,
        4.861392211401854,
        4.861412262034427,
        4.861432312666997,
        4.86145236329957,
        4.861472413932143,
        4.861492464564715,
        4.861512515197288,
        4.86153256582986,
        4.861552616462432,
        4.861572667095004,
        4.861592717727577,
        4.861612768360149,
        4.861632818992721,
        4.861652869625294,
        4.861672920257866,
        4.861692970890439,
        4.861713021523011,
        4.861733072155582,
        4.861753122788155,
        4.861773173420728,
        4.8617932240533,
        4.861813274685873,
        4.861833325318443,
        4.861853375951016,
        4.861873426583589,
        4.861893477216161,
        4.861913527848733,
        4.861933578481306,
        4.861953629113878,
        4.86197367974645,
        4.861993730379023,
        4.862013781011594,
        4.862033831644167,
        4.86205388227674,
        4.862073932909312,
        4.862093983541884,
        4.862114034174456,
        4.862134084807028,
        4.862154135439601,
        4.862174186072174,
        4.862194236704746,
        4.862214287337318,
        4.8626353506213364,
        4.8626554012539085,
        4.862675451886481,
        4.8626955025190535,
        4.8627155531516255,
        4.8627356037841984,
        4.8627556544167705,
        4.862775705049342,
        4.862795755681915,
        4.8628158063144875,
        4.8628358569470596,
        4.8628559075796325,
        4.8628759582122045,
        4.862896008844776,
        4.862916059477349,
        4.8629361101099216,
        4.862956160742494,
        4.862976211375066,
        4.862996262007639,
        4.86301631264021,
        4.863036363272783,
        4.863056413905356,
        4.863076464537927,
        4.8630965151705,
        4.863116565803073,
        4.863136616435645,
        4.863156667068217,
        4.863176717700789,
        4.863196768333361,
        4.863216818965934,
        4.863236869598507,
        4.863256920231078,
        4.86327697086365,
        4.863297021496223,
        4.863317072128795,
        4.863337122761368,
        4.86335717339394,
        4.863377224026512,
        4.863397274659085,
        4.863417325291657,
        4.863437375924229,
        4.863457426556801,
        4.863477477189373,
        4.863497527821946,
        4.863517578454519,
        4.86353762908709,
        4.863557679719662,
        4.863577730352235,
        4.863597780984807,
        4.86361783161738,
        4.863637882249952,
        4.863657932882524,
        4.863677983515096,
        4.863698034147669,
        4.863718084780241,
        4.863738135412813,
        4.863758186045386,
        4.863778236677958,
        4.863798287310531,
        4.863818337943103,
        4.863838388575674,
        4.863858439208247,
        4.86387848984082,
        4.863898540473392,
        4.863918591105965,
        4.863938641738536,
        4.863958692371108,
        4.863978743003681,
        4.863998793636254,
        4.864018844268826,
        4.864038894901398,
        4.864058945533971,
        4.864078996166542,
        4.864099046799115,
        4.864119097431687,
        4.864139148064259,
        4.864159198696832,
        4.864179249329405,
        4.864199299961976,
        4.864219350594548,
        4.864239401227121,
        4.864259451859693,
        4.864279502492266,
        4.864299553124838,
        4.86431960375741,
        4.864339654389982,
        4.864359705022555,
        4.864379755655127,
        4.8643998062877,
        4.8644198569202715,
        4.864439907552844,
        4.864459958185417,
        4.8644800088179885,
        4.864500059450561,
        4.8645201100831335,
        4.8645401607157055,
        4.864560211348278,
        4.864580261980851,
        4.864600312613422,
        4.864620363245995,
        4.8646404138785675,
        4.8646604645111395,
        4.8646805151437125,
        4.8647005657762845,
        4.864720616408857,
        4.864740667041429,
        4.8647607176740015,
        4.864780768306574,
        4.864800818939146,
        4.8648208695717186,
        4.864840920204291,
        4.864860970836863,
        4.864881021469436,
        4.864901072102007,
        4.86492112273458,
        4.864941173367153,
        4.864961223999725,
        4.864981274632298,
        4.865001325264869,
        4.865021375897441,
        4.865041426530014,
        4.865061477162587,
        4.865081527795158,
        4.865101578427731,
        4.865121629060303,
        4.865141679692875,
        4.865161730325448,
        4.86518178095802,
        4.865201831590592,
        4.865221882223165,
        4.865241932855737,
        4.865261983488309,
        4.865282034120881,
        4.865302084753453,
        4.865322135386026,
        4.865342186018599,
        4.865362236651171,
        4.865382287283742,
        4.865402337916315,
        4.865422388548887,
        4.86544243918146,
        4.865462489814032,
        4.865482540446604,
        4.865502591079177,
        4.865522641711749,
        4.865542692344321,
        4.865562742976893,
        4.865582793609466,
        4.865602844242038,
        4.865622894874611,
        4.865642945507184,
        4.865662996139754,
        4.865683046772327,
        4.8657030974049,
        4.865723148037472,
        4.865743198670045,
        4.865763249302617,
        4.865783299935188,
        4.865803350567761,
        4.865823401200334,
        4.865843451832906,
        4.865863502465478,
        4.865883553098051,
        4.866244464484351,
        4.866264515116924,
        4.866284565749497,
        4.8663046163820685,
        4.866324667014641,
        4.866344717647213,
        4.8663647682797855,
        4.866384818912358,
        4.866404869544931,
        4.8664249201775025,
        4.8664449708100745,
        4.8664650214426475,
        4.8664850720752195,
        4.8665051227077925,
        4.8665251733403645,
        4.8665452239729365,
        4.8665652746055095,
        4.8665853252380815,
        4.866605375870654,
        4.866625426503226,
        4.8666454771357985,
        4.866665527768371,
        4.8666855784009435,
        4.866705629033516,
        4.866725679666087,
        4.86674573029866,
        4.866765780931233,
        4.866785831563805,
        4.8668058821963776,
        4.86682593282895,
        4.866845983461521,
        4.866866034094094,
        4.866886084726667,
        4.866906135359238,
        4.866926185991811,
        4.866946236624384,
        4.866966287256955,
        4.866986337889528,
        4.867006388522099,
        4.867026439154672,
        4.867046489787245,
        4.867066540419817,
        4.86708659105239,
        4.867106641684961,
        4.867126692317533,
        4.867146742950106,
        4.867166793582679,
        4.867186844215251,
        4.867206894847823,
        4.867226945480396,
        4.867246996112967,
        4.86726704674554,
        4.867287097378112,
        4.867307148010684,
        4.867327198643257,
        4.86734724927583,
        4.867367299908401,
        4.867387350540973,
        4.867407401173546,
        4.867427451806118,
        4.867447502438691,
        4.867467553071264,
        4.867487603703835,
        4.867507654336407,
        4.86752770496898,
        4.867547755601552,
        4.867567806234125,
        4.867587856866697,
        4.867607907499269,
        4.867627958131841,
        4.867648008764414,
        4.867668059396986,
        4.867688110029558,
        4.867708160662131,
        4.867728211294703,
        4.867748261927276,
        4.867768312559847,
        4.867788363192419,
        4.867808413824992,
        4.867828464457564,
        4.867848515090137,
        4.867868565722709,
        4.86788861635528,
        4.867908666987853,
        4.867928717620426,
        4.867948768252998,
        4.86796881888557,
        4.867988869518143,
        4.868008920150715,
        4.868028970783287,
        4.86804902141586,
        4.868069072048431,
        4.868089122681004,
        4.868109173313577,
        4.868129223946149,
        4.868149274578721,
        4.868169325211293,
        4.8681893758438655,
        4.868209426476438,
        4.868229477109011,
        4.8682495277415825,
        4.868269578374155,
        4.8682896290067275,
        4.8683096796392995,
        4.868329730271872,
        4.8683497809044445,
        4.8683698315370165,
        4.8683898821695895,
        4.868409932802162,
        4.8684299834347335,
        4.868450034067306,
        4.8684700846998785,
        4.868490135332451,
        4.8685101859650235,
        4.868530236597596,
        4.868550287230167,
        4.86857033786274,
        4.868590388495313,
        4.868610439127885,
        4.868630489760457,
        4.868650540393029,
        4.868670591025602,
        4.868690641658174,
        4.868710692290746,
        4.868730742923318,
        4.868750793555891,
        4.868770844188463,
        4.868790894821036,
        4.868810945453608,
        4.868830996086179,
        4.868851046718752,
        4.868871097351325,
        4.868891147983897,
        4.86891119861647,
        4.868931249249042,
        4.868951299881613,
        4.868971350514186,
        4.868991401146759,
        4.869011451779331,
        4.869031502411903,
        4.869051553044476,
        4.869071603677047,
        4.86909165430962,
        4.869111704942192,
        4.869131755574764,
        4.869151806207337,
        4.86917185683991,
        4.869191907472482,
        4.869211958105053,
        4.869232008737626,
        4.869252059370198,
        4.869272110002771,
        4.869292160635344,
        4.869312211267915,
        4.869332261900488,
        4.86935231253306,
        4.869372363165632,
        4.869392413798205,
        4.869412464430777,
        4.869432515063349,
        4.869452565695922,
        4.869472616328494,
        4.869492666961066,
        4.869512717593638,
        4.86953276822621,
        4.869552818858783,
        4.869913730245084,
        4.869933780877657,
        4.869953831510229,
        4.869973882142802,
        4.869993932775374,
        4.8700139834079454,
        4.870034034040518,
        4.870054084673091,
        4.8700741353056625,
        4.870094185938235,
        4.870114236570808,
        4.8701342872033795,
        4.870154337835952,
        4.8701743884685245,
        4.8701944391010965,
        4.870214489733669,
        4.870234540366242,
        4.870254590998814,
        4.870274641631386,
        4.8702946922639585,
        4.8703147428965305,
        4.8703347935291035,
        4.870354844161676,
        4.870374894794248,
        4.87039494542682,
        4.87451535042043,
        4.878956565535195,
        4.878976616167768,
        4.87899666680034,
        4.879016717432912,
        4.879036768065485,
        4.879056818698057,
        4.87907686933063,
        4.879096919963201,
        4.879116970595773,
        4.879137021228346,
        4.879157071860919,
        4.879177122493491,
        4.879197173126063,
        4.879217223758635,
        4.879237274391207,
        4.87925732502378,
        4.879277375656353,
        4.879297426288924,
        4.879317476921497,
        4.87933752755407,
        4.879357578186641,
        4.879377628819214,
        4.879397679451786,
        4.879417730084358,
        4.879437780716931,
        4.879457831349504,
        4.879477881982076,
        4.8794979326146475,
        4.87951798324722,
        4.8795380338797925,
        4.879558084512365,
        4.879578135144937,
        4.8795981857775095,
        4.8796182364100815,
        4.8796382870426545,
        4.8796583376752265,
        4.8796783883077985,
        4.8796984389403715,
        4.8797184895729435,
        4.8797385402055165,
        4.8797585908380885,
        4.87977864147066,
        4.879798692103233,
        4.879818742735805,
        4.879838793368378,
        4.8798588440009505,
        4.879878894633521,
        4.879898945266094,
        4.879918995898667,
        4.879939046531239,
        4.879959097163812,
        4.879979147796384,
        4.879999198428956,
        4.880019249061528,
        4.880039299694101,
        4.880059350326672,
        4.880079400959245,
        4.880099451591818,
        4.88011950222439,
        4.880139552856962,
        4.880159603489534,
        4.880179654122106,
        4.880199704754679,
        4.880219755387252,
        4.880239806019824,
        4.880259856652396,
        4.880279907284968,
        4.88029995791754,
        4.880320008550113,
        4.880340059182686,
        4.880360109815257,
        4.88038016044783,
        4.880400211080403,
        4.880420261712974,
        4.880440312345546,
        4.880460362978119,
        4.880480413610691,
        4.880500464243264,
        4.880520514875837,
        4.880781173099276,
        4.880801223731848,
        4.88082127436442,
        4.880841324996992,
        4.880861375629565,
        4.880881426262137,
        4.88090147689471,
        4.880921527527282,
        4.880941578159853,
        4.880961628792426,
        4.880981679424999,
        4.881001730057571,
        4.881021780690143,
        4.881041831322716,
        4.881061881955287,
        4.88108193258786,
        4.881101983220433,
        4.881122033853004,
        4.881142084485577,
        4.88116213511815,
        4.881182185750722,
        4.881202236383294,
        4.881222287015866,
        4.881242337648438,
        4.881262388281011,
        4.881282438913584,
        4.881302489546156,
        4.881322540178728,
        4.8813425908113,
        4.881362641443872,
        4.881382692076445,
        4.881402742709017,
        4.8814227933415895,
        4.881442843974162,
        4.8814628946067335,
        4.8814829452393065,
        4.8815029958718785,
        4.8815230465044515,
        4.8815430971370235,
        4.881563147769596,
        4.8815831984021685,
        4.88160324903474,
        4.881623299667313,
        4.881643350299885,
        4.8816634009324575,
        4.8816834515650305,
        4.881703502197602,
        4.881723552830174,
        4.881743603462747,
        4.881763654095319,
        4.881783704727891,
        4.881803755360464,
        4.881823805993036,
        4.881843856625609,
        4.881863907258181,
        4.881883957890752,
        4.881904008523325,
        4.881924059155898,
        4.88194410978847,
        4.881964160421043,
        4.881984211053614,
        4.882004261686186,
        4.882024312318759,
        4.882044362951332,
        4.882064413583904,
        4.882084464216476,
        4.882104514849049,
        4.88212456548162,
        4.882144616114193,
        4.882164666746766,
        4.882184717379337,
        4.88220476801191,
        4.882224818644483,
        4.882244869277055,
        4.882264919909626,
        4.882284970542199,
        4.882305021174771,
        4.882325071807344,
        4.882345122439917,
        4.882365173072488,
        4.88238522370506,
        4.882405274337632,
        4.882425324970205,
        4.882445375602778,
        4.882465426235349,
        4.882485476867922,
        4.882505527500495,
        4.882525578133066,
        4.882545628765639,
        4.882565679398211,
        4.882585730030783,
        4.882605780663356,
        4.882625831295929,
        4.8826458819285,
        4.882665932561072,
        4.882685983193645,
        4.882706033826217,
        4.88272608445879,
        4.882746135091362,
        4.882766185723934,
        4.882786236356506,
        4.882806286989079,
        4.882826337621651,
        4.882846388254223,
        4.882866438886796,
        4.882886489519368,
        4.88290654015194,
        4.882926590784513,
        4.882946641417084,
        4.882966692049657,
        4.88298674268223,
        4.883006793314802,
        4.883026843947375,
        4.883046894579946,
        4.883066945212518,
        4.883086995845091,
        4.883107046477664,
        4.883127097110236,
        4.883147147742808,
        4.883167198375381,
        4.883187249007952,
        4.883207299640525,
        4.8832273502730965,
        4.8832474009056694,
        4.883267451538242,
        4.883287502170814,
        4.8833075528033865,
        4.8833276034359585,
        4.8833476540685306,
        4.8833677047011035,
        4.883387755333676,
        4.8834078059662485,
        4.8834278565988205,
        4.8834479072313925,
        4.883467957863965,
        4.8834880084965375,
        4.8835080591291105,
        4.883528109761682,
        4.8835481603942545,
        4.883568211026827,
        4.883588261659399,
        4.883608312291971,
        4.883628362924544,
        4.883648413557116,
        4.883668464189689,
        4.8836885148222615,
        4.883708565454832,
        4.883728616087405,
        4.883748666719978,
        4.88376871735255,
        4.883788767985123,
        4.883808818617695,
        4.883828869250266,
        4.883848919882839,
        4.883868970515412,
        4.883889021147984,
        4.883909071780556,
        4.883929122413129,
        4.883949173045701,
        4.883969223678273,
        4.883989274310846,
        4.884009324943417,
        4.88402937557599,
        4.884049426208563,
        4.884069476841135,
        4.884089527473707,
        4.884109578106278,
        4.884129628738851,
        4.884149679371424,
        4.884410337594863,
        4.884430388227436,
        4.884450438860009,
        4.884470489492581,
        4.884490540125152,
        4.884510590757725,
        4.884530641390297,
        4.88455069202287,
        4.884570742655442,
        4.884590793288014,
        4.884610843920587,
        4.884630894553159,
        4.884650945185731,
        4.884670995818303,
        4.884691046450876,
        4.884711097083448,
        4.884731147716021,
        4.884751198348593,
        4.884771248981164,
        4.884791299613737,
        4.88481135024631,
        4.884831400878882,
        4.884851451511455,
        4.884871502144027,
        4.884891552776598,
        4.884911603409171,
        4.884931654041744,
        4.884951704674315,
        4.884971755306888,
        4.88499180593946,
        4.885011856572033,
        4.885031907204605,
        4.8850519578371765,
        4.885072008469749,
        4.885092059102322,
        4.885112109734894,
        4.885132160367467,
        4.8851522110000385,
        4.8851722616326105,
        4.8851923122651835,
        4.885212362897756,
        4.885232413530328,
        4.8852524641629005,
        4.885272514795473,
        4.885292565428045,
        4.8853126160606175,
        4.88533266669319,
        4.885352717325762,
        4.8853727679583345,
        4.8853928185909075,
        4.885412869223479,
        4.885432919856051,
        4.885452970488624,
        4.885473021121196,
        4.885493071753769,
        4.8855131223863415,
        4.885533173018913,
        4.885553223651485,
        4.885573274284058,
        4.88559332491663,
        4.885613375549203,
        4.885633426181775,
        4.885653476814347,
        4.885673527446919,
        4.885693578079492,
        4.885713628712064,
        4.885733679344636,
        4.885753729977209,
        4.885773780609781,
        4.885793831242354,
        4.885813881874925,
        4.885833932507497,
        4.88585398314007,
        4.885874033772642,
        4.885894084405215,
        4.885914135037787,
        4.885934185670358,
        4.885954236302931,
        4.885974286935504,
        4.885994337568076,
        4.886014388200648,
        4.886034438833221,
        4.886054489465793,
        4.886074540098365,
        4.886094590730938,
        4.886114641363509,
        4.886134691996082,
        4.886154742628655,
        4.886174793261227,
        4.8861948438938,
        4.886214894526371,
        4.886234945158943,
        4.886254995791516,
        4.886275046424089,
        4.886295097056661,
        4.886315147689233,
        4.886335198321805,
        4.886355248954377,
        4.88637529958695,
        4.886395350219522,
        4.886415400852094,
        4.886435451484667,
        4.886856514768686,
        4.8868765654012565,
        4.886896616033829,
        4.886916666666402,
        4.886936717298974,
        4.886956767931547,
        4.886976818564119,
        4.8869968691966905,
        4.8870169198292635,
        4.887036970461836,
        4.887057021094408,
        4.8870770717269805,
        4.887097122359553,
        4.8871171729921254,
        4.8871372236246975,
        4.88715727425727,
        4.887177324889842,
        4.8871973755224145,
        4.887217426154987,
        4.8872374767875595,
        4.887257527420131,
        4.887277578052704,
        4.887297628685276,
        4.8873176793178486,
        4.8873377299504215,
        4.887357780582993,
        4.887377831215566,
        4.887397881848138,
        4.88741793248071,
        4.887437983113283,
        4.887458033745854,
        4.887478084378427,
        4.887498135011,
        4.887518185643572,
        4.887538236276144,
        4.887558286908716,
        4.887578337541288,
        4.887598388173861,
        4.887618438806434,
        4.887638489439006,
        4.887658540071577,
        4.88767859070415,
        4.887698641336722,
        4.887718691969295,
        4.887738742601867,
        4.887758793234439,
        4.887778843867012,
        4.887798894499584,
        4.887979350192735,
        4.887999400825307,
        4.88801945145788,
        4.888039502090452,
        4.888059552723023,
        4.888079603355596,
        4.888099653988169,
        4.888119704620741,
        4.888139755253313,
        4.888159805885886,
        4.888179856518457,
        4.88819990715103,
        4.888219957783602,
        4.888240008416174,
        4.888260059048747,
        4.88828010968132,
        4.888300160313892,
        4.888320210946463,
        4.888340261579036,
        4.888360312211608,
        4.888380362844181,
        4.888400413476753,
        4.888420464109325,
        4.888440514741897,
        4.888460565374469,
        4.888480616007042,
        4.888500666639615,
        4.888520717272186,
        4.888540767904759,
        4.888560818537332,
        4.888580869169903,
        4.888600919802475,
        4.888620970435048,
        4.88864102106762,
        4.888661071700193,
        4.888681122332766,
        4.8887011729653365,
        4.888721223597909,
        4.888741274230482,
        4.888761324863054,
        4.888781375495627,
        4.888801426128199,
        4.888821476760771,
        4.888841527393343,
        4.888861578025916,
        4.888881628658488,
        4.8889016792910605,
        4.888921729923633,
        4.888941780556205,
        4.888961831188778,
        4.88898188182135,
        4.889001932453922,
        4.8890219830864945,
        4.889042033719067,
        4.8890620843516395,
        4.8890821349842115,
        4.889102185616784,
        4.889122236249356,
        4.8891422868819285,
        4.8891623375145015,
        4.889182388147073,
        4.8892024387796456,
        4.889222489412218,
        4.88924254004479,
        4.889262590677363,
        4.889282641309934,
        4.889302691942507,
        4.88932274257508,
        4.889342793207652,
        4.889362843840224,
        4.889382894472796,
        4.889402945105368,
        4.889422995737941,
        4.889443046370514,
        4.889463097003086,
        4.889483147635658,
        4.88950319826823,
        4.889523248900802,
        4.889543299533375,
        4.889563350165947,
        4.889583400798519,
        4.889603451431092,
        4.889623502063665,
        4.889643552696236,
        4.889663603328808,
        4.889683653961381,
        4.889703704593953,
        4.889723755226526,
        4.889743805859099,
        4.889763856491669,
        4.889783907124242,
        4.889803957756815,
        4.889824008389387,
        4.88984405902196,
        4.889864109654532,
        4.889884160287104,
        4.889904210919676,
        4.889924261552249,
        4.88994431218482,
        4.889964362817393,
        4.889984413449966,
        4.890004464082538,
        4.89002451471511,
        4.890044565347681,
        4.890064615980254,
        4.890084666612827,
        4.8901047172454,
        4.890124767877972,
        4.890144818510544,
        4.890164869143115,
        4.890184919775688,
        4.890204970408261,
        4.890225021040833,
        4.890245071673405,
        4.890265122305978,
        4.890285172938549,
        4.890305223571122,
        4.890325274203695,
        4.890345324836266,
        4.890365375468839,
        4.890385426101412,
        4.890405476733984,
        4.890425527366555,
        4.890445577999128,
        4.8904656286317,
        4.890485679264273,
        4.890505729896846,
        4.890525780529417,
        4.89054583116199,
        4.890565881794562,
        4.890585932427134,
        4.890605983059707,
        4.890626033692279,
        4.890646084324851,
        4.890666134957424,
        4.890686185589996,
        4.890706236222568,
        4.89072628685514,
        4.890746337487713,
        4.890766388120285,
        4.890786438752858,
        4.890806489385431,
        4.8908265400180015,
        4.8908465906505745,
        4.890866641283147,
        4.8908866919157195,
        4.8909067425482915,
        4.890926793180864,
        4.890946843813436,
        4.8909668944460085,
        4.890986945078581,
        4.891006995711153,
        4.8910270463437255,
        4.891047096976298,
        4.8910671476088705,
        4.891087198241443,
        4.891107248874014,
        4.891127299506587,
        4.89114735013916,
        4.891167400771732,
        4.8911874514043046,
        4.891207502036876,
        4.891227552669448,
        4.891247603302021,
        4.891267653934594,
        4.891287704567166,
        4.891307755199738,
        4.891327805832311,
        4.891347856464882,
        4.891367907097455,
        4.891387957730027,
        4.891408008362599,
        4.891428058995172,
        4.891608514688322,
        4.891628565320895,
        4.891648615953467,
        4.89166866658604,
        4.891688717218612,
        4.891708767851184,
        4.891728818483757,
        4.891748869116329,
        4.8917689197489,
        4.891788970381473,
        4.891809021014045,
        4.891829071646618,
        4.891849122279191,
        4.891869172911761,
        4.891889223544334,
        4.891909274176907,
        4.891929324809479,
        4.891949375442052,
        4.891969426074624,
        4.891989476707196,
        4.892009527339768,
        4.892029577972341,
        4.892049628604913,
        4.892069679237485,
        4.892089729870058,
        4.89210978050263,
        4.892129831135202,
        4.892149881767775,
        4.892169932400346,
        4.892189983032919,
        4.892210033665492,
        4.892560919735507,
        4.893272717191825,
        4.893292767824397,
        4.893312818456969,
        4.893332869089541,
        4.893352919722113,
        4.893372970354686,
        4.893393020987259,
        4.89341307161983,
        4.893433122252403,
        4.893453172884974,
        4.893473223517547,
        4.89349327415012,
        4.893513324782692,
        4.893533375415264,
        4.893553426047837,
        4.893573476680409,
        4.89359352731298,
        4.893613577945553,
        4.893633628578125,
        4.893653679210698,
        4.893673729843271,
        4.893693780475842,
        4.893713831108414,
        4.893733881740987,
        4.893753932373559,
        4.893773983006132,
        4.893794033638704,
        4.893814084271276,
        4.893834134903849,
        4.893854185536421,
        4.893874236168993,
        4.893894286801565,
        4.893914337434138,
        4.89393438806671,
        4.893954438699283,
        4.893974489331855,
        4.893994539964426,
        4.894014590596999,
        4.894034641229572,
        4.894054691862144,
        4.894074742494716,
        4.894094793127289,
        4.89411484375986,
        4.894134894392433,
        4.894154945025006,
        4.894174995657577,
        4.89419504629015,
        4.894215096922723,
        4.894235147555294,
        4.894255198187867,
        4.894275248820439,
        4.894295299453011,
        4.894315350085584,
        4.894335400718157,
        4.894355451350729,
        4.8943755019833,
        4.8943955526158724,
        4.894415603248445,
        4.894435653881018,
        4.89445570451359,
        4.894475755146162,
        4.894495805778735,
        4.8945158564113065,
        4.894535907043879,
        4.8945559576764515,
        4.8945760083090235,
        4.894596058941596,
        4.894616109574169,
        4.8946361602067405,
        4.894656210839313,
        4.8946762614718855,
        4.8946963121044575,
        4.8947163627370305,
        4.894736413369603,
        4.894756464002175,
        4.894776514634747,
        4.8947965652673195,
        4.894816615899892,
        4.8948366665324645,
        4.894856717165037,
        4.894876767797609,
        4.894896818430181,
        4.894916869062754,
        4.894936919695325,
        4.894956970327898,
        4.894977020960471,
        4.894997071593043,
        4.895017122225616,
        4.895037172858187,
        4.895057223490759,
        4.895197577918766,
        4.895217628551338,
        4.89523767918391,
        4.895257729816483,
        4.895277780449055,
        4.895297831081627,
        4.8953178817142,
        4.895337932346771,
        4.895357982979344,
        4.895378033611917,
        4.895398084244489,
        4.895418134877061,
        4.895438185509633,
        4.895458236142205,
        4.895478286774778,
        4.895498337407351,
        4.895518388039922,
        4.895538438672495,
        4.895558489305067,
        4.895578539937639,
        4.895598590570212,
        4.895618641202784,
        4.895638691835356,
        4.895658742467929,
        4.895678793100502,
        4.895698843733073,
        4.895718894365645,
        4.895738944998218,
        4.89575899563079,
        4.895779046263363,
        4.895799096895936,
        4.895819147528506,
        4.895839198161079,
        4.895859248793652,
        4.895879299426224,
        4.895899350058796,
        4.895919400691369,
        4.895939451323941,
        4.895959501956513,
        4.895979552589086,
        4.895999603221657,
        4.89601965385423,
        4.896039704486802,
        4.896059755119375,
        4.896079805751948,
        4.896099856384519,
        4.896119907017091,
        4.896139957649664,
        4.896160008282236,
        4.896180058914809,
        4.896200109547381,
        4.896220160179952,
        4.896240210812525,
        4.896260261445098,
        4.89628031207767,
        4.896300362710242,
        4.896320413342815,
        4.896340463975387,
        4.896360514607959,
        4.8963805652405314,
        4.8964006158731035,
        4.896420666505676,
        4.896440717138249,
        4.896460767770821,
        4.8964808184033926,
        4.8965008690359655,
        4.8965209196685375,
        4.8965409703011105,
        4.896561020933683,
        4.8965810715662546,
        4.8966011221988275,
        4.8966211728313995,
        4.896641223463972,
        4.8966612740965445,
        4.8966813247291165,
        4.896701375361689,
        4.8967214259942615,
        4.896741476626834,
        4.896761527259405,
        4.896781577891978,
        4.896801628524551,
        4.896821679157123,
        4.896841729789696,
        4.896861780422268,
        4.896881831054839,
        4.896901881687412,
        4.896921932319985,
        4.896941982952557,
        4.896962033585129,
        4.896982084217701,
        4.897002134850273,
        4.897022185482846,
        4.897042236115418,
        4.89706228674799,
        4.897082337380563,
        4.897102388013135,
        4.897122438645708,
        4.89714248927828,
        4.897162539910851,
        4.897182590543424,
        4.897202641175997,
        4.897222691808569,
        4.897242742441141,
        4.897262793073714,
        4.897282843706285,
        4.897302894338858,
        4.897322944971431,
        4.897342995604002,
        4.897363046236575,
        4.897383096869148,
        4.897403147501719,
        4.897423198134292,
        4.897443248766864,
        4.897463299399436,
        4.897483350032009,
        4.897503400664582,
        4.897523451297154,
        4.897543501929725,
        4.897563552562298,
        4.89758360319487,
        4.897603653827443,
        4.897623704460016,
        4.897643755092587,
        4.897663805725159,
        4.897683856357732,
        4.897703906990304,
        4.897723957622876,
        4.897744008255449,
        4.897764058888021,
        4.897784109520594,
        4.897804160153165,
        4.897824210785737,
        4.89784426141831,
        4.897864312050882,
        4.897884362683455,
        4.897904413316028,
        4.897924463948598,
        4.897944514581171,
        4.897964565213744,
        4.897984615846316,
        4.89878664114921,
        4.899989679103547,
        4.90000972973612,
        4.900029780368692,
        4.9000498310012635,
        4.900069881633836,
        4.900089932266409,
        4.900109982898981,
        4.900130033531553,
        4.900150084164126,
        4.9001701347966975,
        4.90019018542927,
        4.900210236061843,
        4.9002302866944145,
        4.9002503373269874,
        4.9002703879595595,
        4.900290438592132,
        4.9003104892247045,
        4.9003305398572765,
        4.900350590489849,
        4.9003706411224215,
        4.9003906917549935,
        4.900410742387566,
        4.900430793020138,
        4.90045084365271,
        4.900470894285283,
        4.9004909449178555,
        4.900510995550427,
        4.900531046183,
        4.9005510968155725,
        4.900571147448144,
        4.900591198080717,
        4.900611248713289,
        4.900631299345861,
        4.900651349978434,
        4.900671400611007,
        4.900691451243578,
        4.90071150187615,
        4.900731552508723,
        4.900751603141295,
        4.900771653773868,
        4.900791704406441,
        4.900811755039012,
        4.900831805671584,
        4.900851856304157,
        4.900871906936729,
        4.900891957569301,
        4.900912008201874,
        4.900932058834446,
        4.900952109467019,
        4.900972160099591,
        4.900992210732162,
        4.901012261364735,
        4.901032311997308,
        4.90105236262988,
        4.901072413262453,
        4.901092463895024,
        4.901112514527596,
        4.901132565160169,
        4.901152615792742,
        4.901172666425314,
        4.901192717057886,
        4.901212767690459,
        4.90123281832303,
        4.901252868955603,
        4.901272919588176,
        4.901292970220747,
        4.90131302085332,
        4.901333071485892,
        4.901353122118464,
        4.901373172751036,
        4.901393223383608,
        4.901413274016181,
        4.901433324648754,
        4.901453375281326,
        4.901473425913898,
        4.90149347654647,
        4.901513527179042,
        4.901533577811615,
        4.901553628444188,
        4.901573679076759,
        4.901593729709332,
        4.901613780341905,
        4.901633830974476,
        4.901653881607049,
        4.901673932239621,
        4.901693982872193,
        4.901714033504766,
        4.901734084137339,
        4.901754134769909,
        4.901774185402482,
        4.901794236035055,
        4.901814286667627,
        4.9018343373002,
        4.901854387932772,
        4.901874438565344,
        4.901894489197916,
        4.901914539830489,
        4.901934590463061,
        4.901954641095633,
        4.901974691728206,
        4.901994742360778,
        4.90201479299335,
        4.9020348436259225,
        4.9020548942584945,
        4.902074944891067,
        4.90209499552364,
        4.902115046156212,
        4.902135096788785,
        4.902155147421356,
        4.9021751980539285,
        4.9021952486865015,
        4.9022152993190735,
        4.902235349951646,
        4.9022554005842185,
        4.90227545121679,
        4.902295501849363,
        4.9023155524819355,
        4.902335603114507,
        4.90235565374708,
        4.9023757043796525,
        4.902395755012225,
        4.902415805644797,
        4.902435856277369,
        4.902455906909941,
        4.902475957542514,
        4.902496008175087,
        4.902516058807659,
        4.90253610944023,
        4.902556160072803,
        4.902576210705375,
        4.902596261337948,
        4.902616311970521,
        4.902636362603092,
        4.902656413235665,
        4.902676463868237,
        4.902696514500809,
        4.902716565133381,
        4.902736615765954,
        4.902756666398526,
        4.902776717031099,
        4.902796767663672,
        4.902816818296242,
        4.902836868928815,
        4.902856919561388,
        4.90287697019396,
        4.902897020826533,
        4.902917071459105,
        4.902937122091676,
        4.902957172724249,
        4.902977223356821,
        4.902997273989394,
        4.903017324621966,
        4.903037375254538,
        4.903057425887111,
        4.903077476519683,
        4.903097527152254,
        4.903117577784827,
        4.9031376284174,
        4.903157679049972,
        4.903177729682545,
        4.903197780315116,
        4.903217830947688,
        4.903237881580261,
        4.903257932212834,
        4.903277982845406,
        4.903298033477978,
        4.903318084110551,
        4.903338134743122,
        4.903358185375695,
        4.903378236008268,
        4.903678995496852,
        4.903699046129424,
        4.903719096761997,
        4.903739147394569,
        4.903759198027141,
        4.903779248659713,
        4.903799299292285,
        4.903819349924858,
        4.903839400557431,
        4.903859451190003,
        4.9038795018225745,
        4.903899552455147,
        4.9039196030877195,
        4.903939653720292,
        4.903959704352865,
        4.9039797549854365,
        4.9039998056180085,
        4.9040198562505815,
        4.9040399068831535,
        4.9040599575157255,
        4.9040800081482985,
        4.9041000587808705,
        4.904120109413443,
        4.9041401600460155,
        4.904160210678587,
        4.90418026131116,
        4.9042003119437325,
        4.904220362576305,
        4.9042404132088775,
        4.904260463841449,
        4.904280514474021,
        4.904300565106594,
        4.9043206157391666,
        4.904340666371739,
        4.904360717004311,
        4.904380767636884,
        4.904400818269455,
        4.904420868902028,
        4.904440919534601,
        4.904460970167172,
        4.904481020799745,
        4.904501071432318,
        4.904521122064889,
        4.904541172697461,
        4.904561223330034,
        4.904581273962606,
        4.904601324595179,
        4.904621375227751,
        4.904641425860323,
        4.904661476492895,
        4.904681527125467,
        4.90470157775804,
        4.904721628390613,
        4.904741679023184,
        4.904761729655757,
        4.904781780288329,
        4.904801830920901,
        4.904821881553474,
        4.904841932186046,
        4.904861982818618,
        4.904882033451191,
        4.904902084083764,
        4.904922134716334,
        4.904942185348907,
        4.90496223598148,
        4.904982286614052,
        4.905002337246625,
        4.905022387879197,
        4.905042438511768,
        4.905062489144341,
        4.905082539776914,
        4.905102590409486,
        4.905122641042058,
        4.905142691674631,
        4.905162742307203,
        4.905182792939775,
        4.905202843572348,
        4.905222894204919,
        4.905242944837492,
        4.905262995470065,
        4.905283046102637,
        4.905764261284372,
        4.905784311916945,
        4.9058043625495165,
        4.905824413182089,
        4.905844463814661,
        4.9058645144472335,
        4.9058845650798055,
        4.9059046157123785,
        4.9059246663449505,
        4.905944716977523,
        4.9059647676100955,
        4.905984818242667,
        4.90600486887524,
        4.9060249195078125,
        4.9060449701403845,
        4.9060650207729575,
        4.9060850714055295,
        4.906105122038101,
        4.906125172670674,
        4.9061452233032465,
        4.906165273935819,
        4.906185324568391,
        4.906205375200964,
        4.906225425833535,
        4.906245476466108,
        4.90626552709868,
        4.906285577731252,
        4.906305628363825,
        4.906325678996398,
        4.90634572962897,
        4.906365780261541,
        4.906385830894113,
        4.906405881526686,
        4.906425932159259,
        4.906445982791831,
        4.906466033424403,
        4.906486084056976,
        4.906506134689547,
        4.90652618532212,
        4.906546235954693,
        4.906566286587264,
        4.906586337219837,
        4.90660638785241,
        4.906626438484981,
        4.906646489117554,
        4.906666539750126,
        4.906686590382698,
        4.906706641015271,
        4.906726691647844,
        4.906746742280415,
        4.906766792912987,
        4.90678684354556,
        4.906806894178132,
        4.906826944810705,
        4.906846995443277,
        4.906867046075849,
        4.906887096708421,
        4.906907147340994,
        4.906927197973566,
        4.906947248606138,
        4.906967299238711,
        4.906987349871283,
        4.907007400503856,
        4.907027451136428,
        4.907047501768999,
        4.907067552401572,
        4.907087603034145,
        4.907107653666717,
        4.90712770429929,
        4.907147754931862,
        4.907167805564433,
        4.907187856197006,
        4.907207906829578,
        4.90722795746215,
        4.907248008094723,
        4.907268058727296,
        4.907288109359867,
        4.90730815999244,
        4.907328210625011,
        4.907348261257584,
        4.907368311890157,
        4.907388362522729,
        4.907408413155302,
        4.907428463787873,
        4.907448514420445,
        4.907468565053018,
        4.907488615685591,
        4.907508666318163,
        4.907528716950735,
        4.907548767583307,
        4.907568818215879,
        4.907588868848452,
        4.907608919481025,
        4.9076289701135964,
        4.907649020746169,
        4.907669071378742,
        4.9076891220113135,
        4.9077091726438855,
        4.907729223276458,
        4.911468666251194,
        4.915649223142521,
        4.915669273775093,
        4.915689324407665,
        4.915709375040238,
        4.91572942567281,
        4.915749476305382,
        4.915769526937955,
        4.915789577570526,
        4.915809628203099,
        4.915829678835672,
        4.915849729468243,
        4.915869780100815,
        4.915889830733388,
        4.91590988136596,
        4.915929931998533,
        4.915949982631106,
        4.915970033263677,
        4.915990083896249,
        4.916010134528822,
        4.916030185161394,
        4.916050235793967,
        4.916070286426539,
        4.916090337059111,
        4.916110387691683,
        4.916130438324256,
        4.916150488956828,
        4.9161705395894,
        4.916190590221973,
        4.916210640854545,
        4.916230691487118,
        4.916250742119689,
        4.916270792752261,
        4.916290843384834,
        4.916310894017407,
        4.916330944649979,
        4.916350995282551,
        4.916371045915123,
        4.916391096547695,
        4.916411147180268,
        4.916431197812841,
        4.916451248445412,
        4.916471299077985,
        4.916651754771135,
        4.916671805403708,
        4.91669185603628,
        4.916711906668853,
        4.916731957301424,
        4.916752007933997,
        4.916772058566569,
        4.916792109199141,
        4.916812159831714,
        4.916832210464286,
        4.916852261096858,
        4.916872311729431,
        4.916892362362004,
        4.916912412994575,
        4.916932463627147,
        4.91695251425972,
        4.916972564892292,
        4.916992615524865,
        4.917012666157438,
        4.9170327167900085,
        4.9170527674225815,
        4.917072818055154,
        4.917092868687726,
        4.917112919320299,
        4.917132969952871,
        4.9171530205854435,
        4.9171730712180155,
        4.917193121850588,
        4.91721317248316,
        4.9172332231157325,
        4.9172532737483055,
        4.9172733243808775,
        4.9172933750134495,
        4.917313425646022,
        4.917333476278594,
        4.917353526911167,
        4.9173735775437395,
        4.9173936281763115,
        4.917413678808884,
        4.917433729441455,
        4.917453780074028,
        4.917473830706601,
        4.9174938813391735,
        4.917513931971745,
        4.917533982604318,
        4.917554033236889,
        4.917574083869462,
        4.917594134502035,
        4.917614185134606,
        4.917634235767179,
        4.917654286399752,
        4.917674337032324,
        4.917694387664895,
        4.917714438297468,
        4.91773448893004,
        4.917754539562613,
        4.917774590195186,
        4.917794640827757,
        4.91781469146033,
        4.917834742092902,
        4.917854792725474,
        4.917874843358047,
        4.917894893990619,
        4.917914944623191,
        4.917934995255764,
        4.917955045888336,
        4.917975096520908,
        4.91799514715348,
        4.918015197786053,
        4.918035248418625,
        4.918055299051198,
        4.91807534968377,
        4.918095400316341,
        4.918115450948914,
        4.918135501581487,
        4.918155552214059,
        4.918175602846631,
        4.918195653479204,
        4.918215704111775,
        4.918235754744348,
        4.918255805376921,
        4.918275856009492,
        4.918295906642065,
        4.918315957274638,
        4.91833600790721,
        4.918356058539782,
        4.918376109172353,
        4.918396159804926,
        4.918416210437499,
        4.918436261070071,
        4.918456311702644,
        4.918476362335216,
        4.918496412967787,
        4.91851646360036,
        4.918536514232933,
        4.918556564865504,
        4.918576615498077,
        4.91859666613065,
        4.918616716763221,
        4.918636767395794,
        4.918656818028366,
        4.918676868660938,
        4.918696919293511,
        4.918716969926084,
        4.918737020558656,
        4.918757071191227,
        4.9187771218238,
        4.918797172456372,
        4.918817223088945,
        4.918837273721518,
        4.918857324354089,
        4.918877374986661,
        4.918897425619234,
        4.918917476251806,
        4.918937526884379,
        4.918957577516951,
        4.918977628149523,
        4.918997678782096,
        4.919017729414668,
        4.91903778004724,
        4.9190578306798125,
        4.919077881312385,
        4.9190979319449575,
        4.91911798257753,
        4.919138033210102,
        4.919158083842674,
        4.9191781344752465,
        4.919198185107819,
        4.9192182357403915,
        4.919238286372964,
        4.9192583370055365,
        4.919278387638108,
        4.919298438270681,
        4.919318488903253,
        4.919338539535825,
        4.919358590168398,
        4.91937864080097,
        4.919398691433543,
        4.919418742066115,
        4.919438792698686,
        4.919458843331259,
        4.919478893963832,
        4.919498944596404,
        4.919518995228976,
        4.919539045861548,
        4.91955909649412,
        4.919579147126693,
        4.919599197759266,
        4.919619248391837,
        4.91963929902441,
        4.919659349656983,
        4.919679400289554,
        4.919699450922127,
        4.919719501554699,
        4.919739552187271,
        4.919759602819844,
        4.919779653452417,
        4.919799704084988,
        4.91981975471756,
        4.919839805350133,
        4.919859855982705,
        4.919879906615278,
        4.91989995724785,
        4.919920007880422,
        4.919940058512994,
        4.919960109145567,
        4.919980159778139,
        4.920000210410711,
        4.920020261043283,
        4.920040311675856,
        4.920060362308428,
        4.920080412941001,
        4.920100463573572,
        4.920120514206145,
        4.920140564838717,
        4.92016061547129,
        4.920180666103863,
        4.920200716736433,
        4.920220767369006,
        4.920240818001579,
        4.920260868634151,
        4.920280919266724,
        4.920300969899296,
        4.920321020531867,
        4.92034107116444,
        4.920361121797013,
        4.920381172429584,
        4.920401223062157,
        4.92042127369473,
        4.920441324327302,
        4.920461374959874,
        4.920481425592446,
        4.920501476225018,
        4.920521526857591,
        4.920541577490164,
        4.920561628122736,
        4.920581678755308,
        4.92060172938788,
        4.920621780020452,
        4.920641830653025,
        4.920661881285598,
        4.920681931918169,
        4.920701982550742,
        4.920722033183314,
        4.920742083815886,
        4.920762134448459,
        4.920782185081031,
        4.920802235713603,
        4.920822286346176,
        4.920842336978749,
        4.9208623876113196,
        4.9208824382438925,
        4.920902488876465,
        4.9209225395090375,
        4.92094259014161,
        4.9209626407741816,
        4.920982691406754,
        4.9210027420393265,
        4.9210227926718995,
        4.9210428433044715,
        4.9210628939370435,
        4.921082944569616,
        4.9211029952021885,
        4.921123045834761,
        4.921143096467333,
        4.921163147099905,
        4.921183197732478,
        4.92120324836505,
        4.921223298997623,
        4.921243349630195,
        4.921263400262766,
        4.921283450895339,
        4.921303501527912,
        4.921323552160484,
        4.921343602793056,
        4.921363653425629,
        4.9213837040582,
        4.921403754690773,
        4.921423805323346,
        4.921443855955917,
        4.92146390658849,
        4.921483957221063,
        4.921504007853635,
        4.921524058486207,
        4.921544109118779,
        4.921564159751351,
        4.921584210383924,
        4.921604261016497,
        4.921624311649069,
        4.92164436228164,
        4.921664412914212,
        4.921684463546785,
        4.921704514179358,
        4.92172456481193,
        4.921744615444502,
        4.921764666077075,
        4.921784716709646,
        4.921804767342219,
        4.921824817974791,
        4.921844868607363,
        4.921864919239936,
        4.921884969872509,
        4.92190502050508,
        4.921925071137652,
        4.921945121770225,
        4.921965172402797,
        4.92198522303537,
        4.922005273667943,
        4.922025324300514,
        4.922045374933086,
        4.922065425565659,
        4.922085476198231,
        4.922105526830804,
        4.922125577463376,
        4.922145628095948,
        4.922165678728521,
        4.922185729361093,
        4.922205779993664,
        4.922225830626237,
        4.92224588125881,
        4.922265931891382,
        4.922285982523955,
        4.922306033156526,
        4.922326083789098,
        4.922346134421671,
        4.922366185054244,
        4.922386235686816,
        4.922406286319388,
        4.922426336951961,
        4.922446387584532,
        4.922466438217105,
        4.922486488849678,
        4.922506539482249,
        4.922526590114822,
        4.922546640747395,
        4.922566691379966,
        4.922586742012539,
        4.9226067926451105,
        4.922626843277683,
        4.922646893910256,
        4.922666944542829,
        4.9226869951754,
        4.9227070458079725,
        4.9227270964405445,
        4.9227471470731174,
        4.92276719770569,
        4.9227872483382615,
        4.9228072989708345,
        4.9228273496034065,
        4.9228474002359786,
        4.9228674508685515,
        4.9228875015011235,
        4.922907552133696,
        4.9229276027662685,
        4.922947653398841,
        4.922967704031413,
        4.922987754663985,
        4.923007805296558,
        4.92302785592913,
        4.9230479065617025,
        4.923067957194275,
        4.923088007826846,
        4.923108058459419,
        4.923128109091992,
        4.923148159724564,
        4.923168210357136,
        4.923188260989709,
        4.923208311622281,
        4.923228362254853,
        4.923248412887426,
        4.923268463519997,
        4.92328851415257,
        4.923308564785143,
        4.923328615417715,
        4.923348666050288,
        4.923368716682859,
        4.923388767315431,
        4.923408817948004,
        4.923428868580576,
        4.923448919213149,
        4.923468969845721,
        4.923489020478293,
        4.923509071110865,
        4.923529121743438,
        4.923549172376009,
        4.923569223008582,
        4.923589273641155,
        4.923609324273727,
        4.923629374906299,
        4.923649425538871,
        4.923669476171443,
        4.923689526804016,
        4.923709577436589,
        4.923729628069161,
        4.923749678701732,
        4.923769729334305,
        4.923789779966877,
        4.92380983059945,
        4.923829881232023,
        4.923849931864594,
        4.923869982497167,
        4.923890033129739,
        4.923910083762311,
        4.923930134394884,
        4.923950185027456,
        4.923970235660028,
        4.923990286292601,
        4.924010336925174,
        4.924030387557744,
        4.924050438190317,
        4.92407048882289,
        4.924090539455462,
        4.924110590088035,
        4.924130640720607,
        4.924150691353178,
        4.924170741985751,
        4.924190792618324,
        4.924210843250896,
        4.924230893883468,
        4.924250944516041,
        4.924270995148613,
        4.924291045781185,
        4.924311096413758,
        4.924331147046329,
        4.924351197678902,
        4.924371248311474,
        4.924391298944047,
        4.924411349576618,
        4.9244314002091905,
        4.924451450841763,
        4.924471501474336,
        4.924491552106908,
        4.92451160273948,
        4.924531653372053,
        4.9245517040046245,
        4.924571754637197,
        4.92459180526977,
        4.9246118559023415,
        4.9246319065349144,
        4.924651957167487,
        4.9246720078000585,
        4.9246920584326315,
        4.9247121090652035,
        4.924732159697776,
        4.9247522103303485,
        4.924772260962921,
        4.9247923115954935,
        4.924812362228065,
        4.9248324128606376,
        4.92485246349321,
        4.9248725141257825,
        4.924892564758355,
        4.924912615390927,
        4.9249326660234996,
        4.924952716656072,
        4.924972767288644,
        4.924992817921216,
        4.925012868553789,
        4.925032919186361,
        4.925052969818934,
        4.925073020451506,
        4.925093071084077,
        4.92511312171665,
        4.925133172349223,
        4.925153222981795,
        4.925173273614368,
        4.925193324246939,
        4.925213374879511,
        4.925233425512084,
        4.925253476144657,
        4.925273526777229,
        4.925293577409801,
        4.925313628042373,
        4.925333678674945,
        4.925353729307518,
        4.925373779940089,
        4.925393830572662,
        4.925413881205235,
        4.925433931837807,
        4.92545398247038,
        4.925474033102951,
        4.925494083735523,
        4.925514134368096,
        4.925534185000669,
        4.925554235633241,
        4.925574286265813,
        4.925594336898385,
        4.925614387530957,
        4.92563443816353,
        4.925654488796103,
        4.925674539428674,
        4.925694590061247,
        4.92571464069382,
        4.925734691326391,
        4.925754741958964,
        4.925774792591536,
        4.925794843224108,
        4.925814893856681,
        4.925834944489254,
        4.925854995121824,
        4.925875045754397,
        4.92589509638697,
        4.925915147019542,
        4.925935197652115,
        4.925955248284687,
        4.925975298917259,
        4.925995349549831,
        4.926015400182403,
        4.926035450814976,
        4.926055501447548,
        4.92607555208012,
        4.926095602712693,
        4.926115653345266,
        4.926135703977837,
        4.926155754610409,
        4.926175805242982,
        4.926195855875554,
        4.926215906508127,
        4.926235957140699,
        4.92625600777327,
        4.926276058405843,
        4.926296109038416,
        4.926316159670988,
        4.92633621030356,
        4.926356260936133,
        4.926376311568705,
        4.926396362201277,
        4.92641641283385,
        4.9264364634664215,
        4.926456514098994,
        4.926476564731567,
        4.926496615364139,
        4.9265166659967115,
        4.9265367166292835,
        4.9265567672618555,
        4.9265768178944285,
        4.926596868527001,
        4.9266169191595734,
        4.9266369697921455,
        4.9266570204247175,
        4.92667707105729,
        4.9266971216898625,
        4.926717172322435,
        4.926737222955007,
        4.9267572735875795,
        4.9267773242201525,
        4.926797374852724,
        4.926817425485296,
        4.926837476117868,
        4.926857526750441,
        4.926877577383014,
        4.9268976280155865,
        4.926917678648157,
        4.92693772928073,
        4.926957779913302,
        4.926977830545875,
        4.926997881178448,
        4.92701793181102,
        4.927037982443592,
        4.927058033076164,
        4.927078083708736,
        4.927098134341309,
        4.927118184973881,
        4.927138235606453,
        4.927158286239026,
        4.927178336871598,
        4.927198387504169,
        4.927218438136742,
        4.927238488769315,
        4.927258539401887,
        4.92727859003446,
        4.927298640667032,
        4.927318691299603,
        4.927338741932176,
        4.927358792564749,
        4.927378843197321,
        4.927398893829893,
        4.927418944462466,
        4.927438995095037,
        4.92745904572761,
        4.927479096360183,
        4.927499146992754,
        4.927519197625327,
        4.9275392482579,
        4.927559298890472,
        4.927579349523044,
        4.927599400155616,
        4.927619450788188,
        4.927639501420761,
        4.927659552053333,
        4.927679602685905,
        4.927699653318478,
        4.92771970395105,
        4.927739754583622,
        4.927759805216195,
        4.927779855848766,
        4.927799906481339,
        4.927819957113912,
        4.927840007746483,
        4.927860058379056,
        4.927880109011628,
        4.9279001596442,
        4.927920210276773,
        4.927940260909346,
        4.927960311541918,
        4.927980362174489,
        4.928000412807062,
        4.928020463439634,
        4.928040514072207,
        4.928060564704779,
        4.928080615337351,
        4.928100665969923,
        4.928120716602496,
        4.928140767235068,
        4.92816081786764,
        4.928180868500213,
        4.928200919132785,
        4.928220969765358,
        4.92824102039793,
        4.9282610710305015,
        4.928281121663074,
        4.928301172295647,
        4.928321222928219,
        4.928341273560792,
        4.9283613241933635,
        4.9283813748259355,
        4.9284014254585085,
        4.928421476091081,
        4.928441526723653,
        4.9284615773562255,
        4.928481627988798,
        4.92850167862137,
        4.9285217292539425,
        4.9285417798865145,
        4.928561830519087,
        4.9285818811516595,
        4.928601931784232,
        4.928621982416804,
        4.928642033049376,
        4.928662083681949,
        4.928682134314521,
        4.928702184947094,
        4.928722235579666,
        4.928742286212238,
        4.92876233684481,
        4.928782387477382,
        4.928802438109955,
        4.928822488742528,
        4.928842539375099,
        4.928862590007672,
        4.928882640640245,
        4.928902691272816,
        4.928922741905389,
        4.928942792537961,
        4.928962843170533,
        4.928982893803106,
        4.929002944435679,
        4.929022995068249,
        4.929043045700822,
        4.929063096333395,
        4.929083146965967,
        4.92910319759854,
        4.929123248231112,
        4.929143298863684,
        4.929163349496256,
        4.929183400128829,
        4.929203450761401,
        4.929223501393973,
        4.929243552026546,
        4.929263602659118,
        4.92928365329169,
        4.929303703924263,
        4.929323754556834,
        4.929343805189407,
        4.92936385582198,
        4.929383906454552,
        4.929403957087124,
        4.929424007719695,
        4.929444058352268,
        4.929464108984841,
        4.929484159617414,
        4.929504210249985,
        4.929524260882558,
        4.929544311515129,
        4.929564362147702,
        4.929584412780275,
        4.929604463412846,
        4.929624514045419,
        4.929644564677992,
        4.929664615310564,
        4.929684665943136,
        4.929704716575708,
        4.92972476720828,
        4.929744817840853,
        4.929764868473426,
        4.929784919105998,
        4.92980496973857,
        4.929825020371142,
        4.929845071003714,
        4.929865121636287,
        4.929885172268859,
        4.929905222901431,
        4.929925273534004,
        4.929945324166576,
        4.929965374799148,
        4.92998542543172,
        4.930005476064293,
        4.930025526696865,
        4.930045577329438,
        4.930065627962011,
        4.9300856785945815,
        4.930105729227154,
        4.930125779859727,
        4.930145830492299,
        4.930165881124872,
        4.930185931757444,
        4.9302059823900155,
        4.930226033022588,
        4.930246083655161,
        4.930266134287733,
        4.9302861849203055,
        4.930306235552878,
        4.93032628618545,
        4.9303463368180225,
        4.930366387450594,
        4.930386438083167,
        4.9304064887157395,
        4.930426539348312,
        4.9304465899808845,
        4.9304666406134565,
        4.930486691246028,
        4.930506741878601,
        4.9305267925111735,
        4.930546843143746,
        4.930566893776318,
        4.930586944408891,
        4.930606995041462,
        4.930627045674035,
        4.930647096306608,
        4.930667146939179,
        4.930687197571752,
        4.930707248204325,
        4.930727298836897,
        4.930747349469469,
        4.930767400102041,
        4.930787450734613,
        4.930807501367186,
        4.930827551999759,
        4.93084760263233,
        4.930867653264902,
        4.930887703897475,
        4.930907754530047,
        4.93092780516262,
        4.930947855795192,
        4.930967906427764,
        4.930987957060337,
        4.931008007692909,
        4.931028058325481,
        4.931048108958053,
        4.931068159590625,
        4.931088210223198,
        4.931108260855771,
        4.931128311488343,
        4.931148362120914,
        4.931168412753487,
        4.931188463386059,
        4.931208514018632,
        4.931228564651204,
        4.931248615283777,
        4.931268665916348,
        4.931288716548921,
        4.931308767181493,
        4.931328817814065,
        4.931348868446638,
        4.93136891907921,
        4.931388969711782,
        4.931409020344355,
        4.931429070976926,
        4.931449121609499,
        4.931469172242072,
        4.931489222874644,
        4.931509273507217,
        4.931529324139788,
        4.93154937477236,
        4.931569425404933,
        4.931589476037506,
        4.931609526670078,
        4.93162957730265,
        4.931649627935223,
        4.931669678567794,
        4.931689729200367,
        4.931709779832939,
        4.931729830465511,
        4.931749881098084,
        4.931769931730657,
        4.931789982363228,
        4.9318100329958,
        4.931830083628373,
        4.931850134260945,
        4.931870184893518,
        4.931890235526091,
        4.931910286158662,
        4.931930336791234,
        4.931950387423807,
        4.931970438056379,
        4.931990488688952,
        4.932010539321524,
        4.932030589954096,
        4.932050640586668,
        4.932070691219241,
        4.932090741851813,
        4.932110792484385,
        4.9321308431169575,
        4.93215089374953,
        4.932170944382103,
        4.932190995014674,
        4.9322110456472466,
        4.9322310962798195,
        4.9322511469123915,
        4.9322711975449645,
        4.9322912481775365,
        4.932311298810108,
        4.932331349442681,
        4.9323514000752535,
        4.932371450707826,
        4.932391501340398,
        4.9324115519729705,
        4.932431602605543,
        4.932451653238115,
        4.932471703870688,
        4.932491754503259,
        4.932511805135832,
        4.932531855768405,
        4.932551906400977,
        4.93257195703355,
        4.932592007666121,
        4.932612058298693,
        4.932632108931266,
        4.932652159563839,
        4.93267221019641,
        4.932692260828983,
        4.932712311461555,
        4.932732362094127,
        4.9327524127267,
        4.932772463359272,
        4.932792513991844,
        4.932812564624417,
        4.932832615256989,
        4.932852665889561,
        4.932872716522133,
        4.932892767154706,
        4.932912817787278,
        4.932932868419851,
        4.932952919052423,
        4.932972969684994,
        4.932993020317567,
        4.933013070950139,
        4.933033121582712,
        4.933053172215284,
        4.933073222847856,
        4.933093273480429,
        4.933113324113001,
        4.933133374745573,
        4.933153425378145,
        4.933173476010718,
        4.93319352664329,
        4.933213577275863,
        4.933233627908436,
        4.933253678541006,
        4.933273729173579,
        4.933293779806152,
        4.933313830438724,
        4.933333881071297,
        4.933353931703869,
        4.933915349415893,
        4.933935400048465,
        4.9339554506810375,
        4.93397550131361,
        4.933995551946183,
        4.9340156025787545,
        4.9340356532113265,
        4.9340557038438995,
        4.9340757544764715,
        4.934095805109044,
        4.9341158557416165,
        4.9341359063741885,
        4.934155957006761,
        4.9341760076393335,
        4.934376513965057,
        4.935058235472516,
        4.935078286105086,
        4.935098336737659,
        4.935118387370232,
        4.935138438002804,
        4.935158488635377,
        4.935178539267949,
        4.935198589900521,
        4.935218640533093,
        4.935238691165666,
        4.935258741798238,
        4.93527879243081,
        4.935298843063383,
        4.935318893695955,
        4.935338944328528,
        4.935358994961099,
        4.935379045593671,
        4.935399096226244,
        4.935419146858816,
        4.935439197491389,
        4.935459248123961,
        4.935479298756533,
        4.935499349389105,
        4.935519400021678,
        4.93553945065425,
        4.935559501286822,
        4.935579551919395,
        4.935599602551967,
        4.935619653184539,
        4.935639703817112,
        4.935659754449683,
        4.935679805082256,
        4.935699855714829,
        4.935719906347401,
        4.935739956979973,
        4.935760007612545,
        4.9357800582451175,
        4.93580010887769,
        4.935820159510263,
        4.9358402101428345,
        4.935860260775407,
        4.9358803114079794,
        4.9359003620405515,
        4.935920412673124,
        4.9359404633056965,
        4.9359605139382685,
        4.9359805645708414,
        4.936000615203414,
        4.9360206658359855,
        4.936040716468558,
        4.9360607671011305,
        4.9360808177337026,
        4.9361008683662755,
        4.936120918998848,
        4.936140969631419,
        4.936161020263992,
        4.9361810708965645,
        4.936201121529137,
        4.936221172161709,
        4.936241222794282,
        4.936261273426854,
        4.936281324059426,
        4.936301374691999,
        4.93632142532457,
        4.936341475957143,
        4.936361526589715,
        4.936381577222288,
        4.93640162785486,
        4.936421678487432,
        4.936441729120004,
        4.936461779752577,
        4.936481830385149,
        4.936501881017722,
        4.936521931650294,
        4.936541982282865,
        4.936562032915438,
        4.936582083548011,
        4.936602134180583,
        4.936622184813155,
        4.936642235445728,
        4.936662286078299,
        4.936682336710872,
        4.936702387343444,
        4.936722437976016,
        4.936742488608589,
        4.936762539241162,
        4.936782589873734,
        4.936802640506305,
        4.936822691138878,
        4.93684274177145,
        4.936862792404023,
        4.936882843036596,
        4.936902893669167,
        4.936922944301739,
        4.936942994934312,
        4.936963045566884,
        4.936983096199457,
        4.937003146832029,
        4.937023197464601,
        4.937043248097174,
        4.937063298729745,
        4.937083349362318,
        4.93710339999489,
        4.937123450627463,
        4.937143501260035,
        4.937163551892608,
        4.937183602525179,
        4.937203653157751,
        4.937223703790324,
        4.937243754422897,
        4.937263805055469,
        4.937283855688041,
        4.937303906320613,
        4.937323956953185,
        4.937344007585758,
        4.93736405821833,
        4.937384108850902,
        4.937404159483475,
        4.937424210116047,
        4.93744426074862,
        4.937464311381192,
        4.937484362013763,
        4.937504412646336,
        4.937524463278909,
        4.937544513911481,
        4.937564564544053,
        4.937584615176625,
        4.937604665809197,
        4.93762471644177,
        4.937644767074343,
        4.9376648177069145,
        4.937684868339487,
        4.93770491897206,
        4.9377249696046315,
        4.937745020237204,
        4.9377650708697765,
        4.9377851215023485,
        4.937805172134921,
        4.937825222767494,
        4.9378452734000655,
        4.937865324032638,
        4.9378853746652105,
        4.9379054252977825,
        4.9379254759303555,
        4.937945526562928,
        4.9379655771954996,
        4.937985627828072,
        4.9380056784606445,
        4.938025729093217,
        4.938045779725789,
        4.9380658303583616,
        4.938085880990934,
        4.9381059316235065,
        4.938125982256078,
        4.93814603288865,
        4.938166083521223,
        4.938186134153795,
        4.938206184786368,
        4.938226235418941,
        4.938246286051511,
        4.938266336684084,
        4.938286387316657,
        4.938306437949229,
        4.938326488581802,
        4.938346539214374,
        4.938366589846946,
        4.938386640479518,
        4.938406691112091,
        4.938426741744663,
        4.938446792377235,
        4.938466843009808,
        4.93848689364238,
        4.938506944274952,
        4.938526994907524,
        4.938547045540096,
        4.938567096172669,
        4.938587146805242,
        4.938607197437814,
        4.938627248070386,
        4.938647298702958,
        4.93866734933553,
        4.938687399968103,
        4.938707450600676,
        4.938727501233247,
        4.93874755186582,
        4.938767602498393,
        4.938787653130964,
        4.938807703763537,
        4.938827754396108,
        4.938847805028681,
        4.938867855661254,
        4.938887906293827,
        4.938907956926398,
        4.93892800755897,
        4.938948058191542,
        4.938968108824115,
        4.938988159456688,
        4.939008210089259,
        4.939028260721832,
        4.939048311354404,
        4.939068361986976,
        4.939088412619549,
        4.939108463252121,
        4.939128513884693,
        4.939148564517266,
        4.939168615149838,
        4.93918866578241,
        4.939208716414982,
        4.939228767047555,
        4.939248817680127,
        4.9392688683127,
        4.939288918945273,
        4.939589678433856,
        4.9396097290664285,
        4.939629779699001,
        4.939649830331574,
        4.939669880964146,
        4.9396899315967175,
        4.9397099822292905,
        4.9397300328618625,
        4.9397500834944355,
        4.9397701341270075,
        4.9397901847595795,
        4.9398102353921525,
        4.939830286024724,
        4.939850336657297,
        4.939870387289869,
        4.939890437922441,
        4.939910488555014,
        4.9399305391875865,
        4.9399505898201586,
        4.93997064045273,
        4.939990691085303,
        4.940010741717875,
        4.940030792350448,
        4.9400508429830206,
        4.940070893615592,
        4.940090944248164,
        4.940110994880737,
        4.940131045513309,
        4.940151096145882,
        4.940171146778454,
        4.940191197411026,
        4.940211248043599,
        4.940231298676171,
        4.940251349308743,
        4.940271399941315,
        4.940291450573888,
        4.94031150120646,
        4.940331551839033,
        4.940351602471604,
        4.940371653104176,
        4.940391703736749,
        4.940411754369322,
        4.940431805001894,
        4.940451855634466,
        4.940471906267039,
        4.94049195689961,
        4.940512007532183,
        4.940532058164756,
        4.940552108797327,
        4.9405721594299,
        4.940592210062472,
        4.940612260695044,
        4.940632311327617,
        4.940652361960189,
        4.940672412592761,
        4.940692463225334,
        4.940712513857906,
        4.940732564490479,
        4.94075261512305,
        4.940772665755622,
        4.940792716388195,
        4.940812767020768,
        4.940832817653339,
        4.940852868285912,
        4.940872918918485,
        4.940892969551056,
        4.940913020183629,
        4.940933070816201,
        4.940953121448773,
        4.940973172081346,
        4.940993222713919,
        4.94101327334649,
        4.941033323979062,
        4.941053374611635,
        4.941073425244207,
        4.94109347587678,
        4.941113526509353,
        4.941133577141924,
        4.941574691058515,
        4.9415947416910875,
        4.9416147923236595,
        4.9416348429562325,
        4.9416548935888045,
        4.9416749442213765,
        4.941694994853949,
        4.941715045486521,
        4.941735096119094,
        4.9417551467516665,
        4.9417751973842385,
        4.941795248016811,
        4.941815298649383,
        4.941835349281955,
        4.941855399914528,
        4.9418754505471005,
        4.941895501179672,
        4.941915551812245,
        4.941935602444817,
        4.941955653077389,
        4.941975703709962,
        4.941995754342534,
        4.942015804975106,
        4.942035855607679,
        4.942055906240252,
        4.942075956872823,
        4.942096007505395,
        4.942116058137968,
        4.94213610877054,
        4.942156159403113,
        4.942176210035685,
        4.942196260668256,
        4.942216311300829,
        4.942236361933402,
        4.942256412565974,
        4.942276463198546,
        4.942296513831119,
        4.942316564463691,
        4.942336615096263,
        4.942356665728835,
        4.942376716361407,
        4.94239676699398,
        4.942416817626553,
        4.942436868259125,
        4.942456918891697,
        4.942476969524268,
        4.942497020156841,
        4.942517070789414,
        4.942537121421986,
        4.942557172054558,
        4.942577222687131,
        4.942597273319702,
        4.942617323952275,
        4.942637374584848,
        4.942657425217419,
        4.942677475849992,
        4.942697526482565,
        4.942717577115137,
        4.942737627747709,
        4.942757678380281,
        4.942777729012853,
        4.942797779645426,
        4.942817830277999,
        4.942837880910571,
        4.942857931543142,
        4.942877982175715,
        4.942898032808287,
        4.947208918811334,
        4.952041121261261,
        4.952061171893833,
        4.952081222526404,
        4.952101273158977,
        4.952121323791549,
        4.952141374424122,
        4.952161425056694,
        4.952181475689266,
        4.952201526321839,
        4.952221576954411,
        4.952241627586983,
        4.952261678219555,
        4.952281728852128,
        4.9523017794847,
        4.952321830117273,
        4.952341880749845,
        4.952361931382416,
        4.953805576927623,
        4.955810640184854,
        4.955830690817426,
        4.955850741449999,
        4.955870792082572,
        4.955890842715144,
        4.955910893347715,
        4.955930943980288,
        4.95595099461286,
        4.955971045245433,
        4.955991095878005,
        4.956011146510577,
        4.956031197143149,
        4.956051247775722,
        4.956071298408294,
        4.956091349040867,
        4.956111399673438,
        4.956131450306011,
        4.956151500938584,
        4.956171551571155,
        4.956191602203727,
        4.9562116528363,
        4.956231703468872,
        4.956251754101445,
        4.956271804734018,
        4.9562918553665885,
        4.956311905999161,
        4.956331956631734,
        4.956352007264306,
        4.956372057896879,
        4.956392108529451,
        4.956412159162023,
        4.956432209794595,
        4.956452260427168,
        4.95647231105974,
        4.956492361692312,
        4.956512412324885,
        4.956532462957457,
        4.95655251359003,
        4.956572564222602,
        4.9565926148551736,
        4.9566126654877465,
        4.956632716120319,
        4.9566527667528915,
        4.9566728173854635,
        4.9566928680180355,
        4.956712918650608,
        4.9567329692831805,
        4.9567530199157535,
        4.956773070548325,
        4.9567931211808975,
        4.95681317181347,
        4.956833222446042,
        4.956853273078615,
        4.956873323711187,
        4.956893374343759,
        4.956913424976332,
        4.956933475608904,
        4.956953526241476,
        4.956973576874048,
        4.95699362750662,
        4.957013678139193,
        4.957033728771766,
        4.958226741409817,
        4.960021273025039,
        4.960041323657611,
        4.960061374290183,
        4.960081424922756,
        4.960101475555329,
        4.9601215261879,
        4.960141576820472,
        4.960161627453045,
        4.960181678085617,
        4.96020172871819,
        4.960221779350762,
        4.9602418299833335,
        4.9602618806159064,
        4.960281931248479,
        4.960301981881051,
        4.9603220325136235,
        4.9603420831461955,
        4.9603621337787684,
        4.9603821844113405,
        4.9604022350439125,
        4.960422285676485,
        4.9604423363090575,
        4.9604623869416296,
        4.9604824375742025,
        4.960502488206775,
        4.960522538839346,
        4.960542589471919,
        4.9605626401044915,
        4.960582690737064,
        4.9606027413696365,
        4.960622792002209,
        4.96064284263478,
        4.960662893267353,
        4.960682943899926,
        4.960702994532497,
        4.96072304516507,
        4.960743095797643,
        4.960763146430215,
        4.960783197062787,
        4.960803247695359,
        4.960823298327931,
        4.960843348960504,
        4.960863399593077,
        4.960883450225649,
        4.96090350085822,
        4.960923551490793,
        4.960943602123365,
        4.960963652755938,
        4.960983703388511,
        4.961003754021082,
        4.961023804653655,
        4.961043855286227,
        4.961063905918799,
        4.961083956551372,
        4.961104007183944,
        4.961124057816516,
        4.961144108449089,
        4.96116415908166,
        4.961184209714232,
        4.961204260346805,
        4.961224310979378,
        4.96124436161195,
        4.961264412244523,
        4.961284462877094,
        4.961304513509666,
        4.961324564142239,
        4.961344614774811,
        4.961364665407384,
        4.961384716039956,
        4.961404766672528,
        4.961424817305101,
        4.961444867937673,
        4.961464918570245,
        4.961484969202817,
        4.96150501983539,
        4.961525070467962,
        4.961545121100535,
        4.961565171733107,
        4.961585222365678,
        4.961605272998251,
        4.961625323630824,
        4.961645374263396,
        4.961665424895968,
        4.961685475528541,
        4.961705526161112,
        4.961725576793685,
        4.961745627426258,
        4.961765678058829,
        4.961785728691402,
        4.961805779323975,
        4.961825829956546,
        4.961845880589119,
        4.961865931221691,
        4.961885981854263,
        4.961906032486836,
        4.961926083119409,
        4.961946133751981,
        4.961966184384552,
        4.961986235017124,
        4.962006285649697,
        4.96202633628227,
        4.962046386914843,
        4.962066437547414,
        4.962086488179987,
        4.9621065388125585,
        4.962126589445131,
        4.9621466400777035,
        4.9621666907102755,
        4.962186741342848,
        4.962206791975421,
        4.9622268426079925,
        4.962246893240565,
        4.9622669438731375,
        4.9622869945057095,
        4.9623070451382825,
        4.962327095770855,
        4.962347146403427,
        4.962367197035999,
        4.9623872476685715,
        4.962407298301144,
        4.9624273489337165,
        4.9624473995662886,
        4.962467450198861,
        4.962487500831433,
        4.962507551464006,
        4.962527602096577,
        4.96254765272915,
        4.962567703361723,
        4.962587753994295,
        4.962607804626868,
        4.962627855259439,
        4.962647905892011,
        4.962667956524584,
        4.962688007157157,
        4.962708057789729,
        4.962728108422301,
        4.962748159054873,
        4.962768209687445,
        4.962788260320018,
        4.962808310952591,
        4.962828361585162,
        4.962848412217735,
        4.962868462850308,
        4.962888513482879,
        4.962908564115452,
        4.962928614748023,
        4.962948665380596,
        4.962968716013169,
        4.962988766645741,
        4.963008817278312,
        4.963028867910885,
        4.963048918543457,
        4.96306896917603,
        4.963089019808603,
        4.963109070441174,
        4.963129121073747,
        4.963149171706319,
        4.963169222338891,
        4.963189272971464,
        4.963209323604036,
        4.963229374236608,
        4.963249424869181,
        4.963269475501754,
        4.963289526134325,
        4.963309576766897,
        4.96332962739947,
        4.963349678032042,
        4.963369728664615,
        4.963389779297188,
        4.963409829929758,
        4.963429880562331,
        4.963449931194904,
        4.963469981827476,
        4.963490032460048,
        4.963510083092621,
        4.963530133725193,
        4.963550184357765,
        4.963570234990338,
        4.963590285622909,
        4.963610336255482,
        4.963630386888055,
        4.963650437520627,
        4.963670488153199,
        4.963690538785771,
        4.963710589418343,
        4.963730640050916,
        4.963750690683488,
        4.963770741316061,
        4.963790791948633,
        4.963810842581205,
        4.963830893213777,
        4.96385094384635,
        4.963870994478921,
        4.963891045111494,
        4.963911095744067,
        4.9639311463766385,
        4.963951197009211,
        4.963971247641783,
        4.9639912982743555,
        4.964011348906928,
        4.964031399539501,
        4.964051450172073,
        4.9640715008046445,
        4.9640915514372175,
        4.9641116020697895,
        4.9641316527023625,
        4.964151703334935,
        4.9641717539675065,
        4.9641918046000795,
        4.9642118552326515,
        4.964231905865224,
        4.9642519564977965,
        4.9642720071303685,
        4.964292057762941,
        4.9643121083955135,
        4.964332159028086,
        4.964352209660657,
        4.96437226029323,
        4.964392310925803,
        4.964412361558375,
        4.9644324121909476,
        4.96445246282352,
        4.964512614721237,
        4.964532665353809,
        4.964552715986381,
        4.964572766618953,
        4.964592817251525,
        4.964612867884098,
        4.964632918516671,
        4.964652969149242,
        4.964673019781815,
        4.964693070414387,
        4.96471312104696,
        4.964733171679532,
        4.964753222312103,
        4.964773272944676,
        4.964793323577249,
        4.964813374209821,
        4.964833424842393,
        4.964853475474966,
        4.964873526107537,
        4.96489357674011,
        4.964913627372683,
        4.964933678005254,
        4.964953728637827,
        4.9649737792704,
        4.964993829902971,
        4.965013880535544,
        4.965033931168116,
        4.965053981800688,
        4.965074032433261,
        4.965094083065834,
        4.965114133698406,
        4.965134184330977,
        4.96515423496355,
        4.965174285596122,
        4.965194336228695,
        4.965214386861268,
        4.965234437493839,
        4.965254488126411,
        4.965274538758984,
        4.965294589391556,
        4.965314640024128,
        4.965334690656701,
        4.965354741289273,
        4.965374791921846,
        4.965394842554418,
        4.965414893186989,
        4.965434943819562,
        4.965454994452135,
        4.965475045084707,
        4.96549509571728,
        4.96551514634985,
        4.965535196982423,
        4.965555247614996,
        4.965575298247569,
        4.965595348880141,
        4.965615399512713,
        4.965635450145285,
        4.965655500777857,
        4.96567555141043,
        4.965695602043001,
        4.965715652675574,
        4.965735703308147,
        4.965755753940719,
        4.965775804573291,
        4.965795855205863,
        4.9658159058384355,
        4.965835956471008,
        4.965856007103581,
        4.965876057736153,
        4.965896108368725,
        4.9659161590012975,
        4.9659362096338695,
        4.965956260266442,
        4.965976310899015,
        4.9659963615315865,
        4.9660164121641595,
        4.966036462796732,
        4.9660565134293035,
        4.9660765640618765,
        4.9660966146944485,
        4.966116665327021,
        4.9661367159595935,
        4.966156766592166,
        4.966176817224737,
        4.96619686785731,
        4.966216918489882,
        4.966236969122455,
        4.9662570197550275,
        4.9662770703876,
        4.966297121020172,
        4.966317171652744,
        4.966337222285316,
        4.966357272917889,
        4.966377323550461,
        4.966397374183033,
        4.966417424815606,
        4.966437475448178,
        4.96645752608075,
        4.966477576713322,
        4.966497627345895,
        4.966517677978467,
        4.96653772861104,
        4.966557779243613,
        4.966577829876183,
        4.966597880508756,
        4.966617931141329,
        4.966637981773901,
        4.966658032406473,
        4.966678083039046,
        4.966698133671617,
        4.96671818430419,
        4.966738234936763,
        4.966758285569334,
        4.966778336201907,
        4.96679838683448,
        4.966818437467052,
        4.966838488099624,
        4.966858538732196,
        4.966878589364768,
        4.966898639997341,
        4.966918690629914,
        4.966938741262486,
        4.966958791895058,
        4.96697884252763,
        4.966998893160202,
        4.967018943792775,
        4.967038994425348,
        4.967059045057919,
        4.967079095690492,
        4.967099146323064,
        4.967119196955636,
        4.967139247588208,
        4.96715929822078,
        4.967179348853353,
        4.967199399485926,
        4.967219450118499,
        4.967239500751069,
        4.967259551383642,
        4.967279602016214,
        4.967299652648787,
        4.96731970328136,
        4.967339753913931,
        4.967359804546503,
        4.967379855179076,
        4.967399905811648,
        4.967419956444221,
        4.967440007076793,
        4.967460057709365,
        4.967480108341938,
        4.96750015897451,
        4.967520209607081,
        4.967540260239654,
        4.967560310872227,
        4.967580361504799,
        4.967600412137372,
        4.967620462769944,
        4.9676405134025154,
        4.967660564035088,
        4.967680614667661,
        4.967700665300233,
        4.967720715932805,
        4.967740766565378,
        4.9677608171979495,
        4.967780867830522,
        4.967800918463095,
        4.9678209690956665,
        4.967841019728239,
        4.967861070360812,
        4.967881120993384,
        4.9679011716259565,
        4.9679212222585285,
        4.9679412728911005,
        4.9679613235236735,
        4.9679813741562455,
        4.968001424788818,
        4.96802147542139,
        4.9680415260539625,
        4.968061576686535,
        4.9680816273191075,
        4.968101677951679,
        4.968121728584252,
        4.9681417792168245,
        4.968161829849396,
        4.968181880481969,
        4.968201931114541,
        4.968221981747113,
        4.968242032379686,
        4.968262083012259,
        4.96828213364483,
        4.968302184277402,
        4.968322234909975,
        4.968342285542547,
        4.96836233617512,
        4.968382386807693,
        4.968402437440264,
        4.968422488072836,
        4.968442538705409,
        4.968462589337981,
        4.968482639970553,
        4.968502690603126,
        4.968522741235698,
        4.96854279186827,
        4.968562842500843,
        4.968582893133414,
        4.968602943765987,
        4.96862299439856,
        4.968643045031132,
        4.968663095663705,
        4.968683146296276,
        4.968703196928848,
        4.968723247561421,
        4.968743298193994,
        4.968763348826566,
        4.968783399459138,
        4.968803450091711,
        4.968823500724282,
        4.968843551356855,
        4.968863601989427,
        4.968883652621999,
        4.968903703254572,
        4.968923753887144,
        4.968943804519716,
        4.968963855152288,
        4.96898390578486,
        4.969003956417433,
        4.969024007050006,
        4.969044057682578,
        4.96906410831515,
        4.969084158947722,
        4.969104209580294,
        4.969124260212867,
        4.96914431084544,
        4.969164361478011,
        4.969184412110584,
        4.969204462743156,
        4.969224513375728,
        4.969244564008301,
        4.969264614640873,
        4.969284665273445,
        4.969304715906018,
        4.969324766538591,
        4.969344817171161,
        4.969364867803734,
        4.969384918436307,
        4.969404969068879,
        4.969425019701452,
        4.969445070334024,
        4.969465120966595,
        4.969485171599168,
        4.969505222231741,
        4.969525272864313,
        4.969545323496885,
        4.969565374129458,
        4.96958542476203,
        4.969605475394602,
        4.969625526027175,
        4.9696455766597465,
        4.969665627292319,
        4.969685677924892,
        4.969705728557464,
        4.969725779190037,
        4.969745829822608,
        4.9697658804551805,
        4.9697859310877535,
        4.969805981720326,
        4.9698260323528975,
        4.9698460829854705,
        4.969866133618042,
        4.969886184250615,
        4.9699062348831875,
        4.969926285515759,
        4.969946336148332,
        4.9699663867809045,
        4.969986437413477,
        4.970006488046049,
        4.970026538678621,
        4.970046589311193,
        4.970066639943766,
        4.970086690576339,
        4.970106741208911,
        4.970126791841482,
        4.970146842474055,
        4.970166893106627,
        4.9701869437392,
        4.970206994371773,
        4.970227045004344,
        4.970247095636917,
        4.970267146269489,
        4.970287196902061,
        4.970307247534633,
        4.970327298167206,
        4.970347348799778,
        4.970367399432351,
        4.970387450064924,
        4.970407500697494,
        4.970427551330067,
        4.97044760196264,
        4.970467652595212,
        4.970487703227785,
        4.970507753860357,
        4.970527804492928,
        4.970547855125501,
        4.970567905758074,
        4.970587956390646,
        4.970608007023218,
        4.97062805765579,
        4.970648108288363,
        4.970668158920935,
        4.970688209553506,
        4.970708260186079,
        4.970728310818652,
        4.970748361451224,
        4.970768412083797,
        4.970788462716368,
        4.97080851334894,
        4.970828563981513,
        4.970848614614086,
        4.970868665246658,
        4.97088871587923,
        4.970908766511803,
        4.970928817144374,
        4.970948867776947,
        4.97096891840952,
        4.970988969042091,
        4.971009019674664,
        4.971029070307237,
        4.971049120939808,
        4.971069171572381,
        4.971089222204953,
        4.971109272837525,
        4.971129323470098,
        4.971149374102671,
        4.971169424735242,
        4.971189475367814,
        4.971209526000387,
        4.971229576632959,
        4.971249627265532,
        4.971269677898104,
        4.971289728530676,
        4.971309779163248,
        4.971329829795821,
        4.971349880428393,
        4.971369931060965,
        4.971389981693537,
        4.97141003232611,
        4.971430082958683,
        4.971450133591255,
        4.9714701842238265,
        4.971490234856399,
        4.9715102854889714,
        4.971530336121544,
        4.971550386754117,
        4.971570437386689,
        4.9715904880192605,
        4.9716105386518334,
        4.9716305892844055,
        4.9716506399169775,
        4.9716706905495505,
        4.9716907411821225,
        4.9717107918146946,
        4.9717308424472675,
        4.971750893079839,
        4.971770943712412,
        4.9717909943449845,
        4.9718110449775565,
        4.9718310956101295,
        4.971851146242701,
        4.971871196875273,
        4.971891247507846,
        4.9719112981404185,
        4.971931348772991,
        4.971951399405563,
        4.971971450038135,
        4.971991500670707,
        4.97201155130328,
        4.972031601935853,
        4.972051652568424,
        4.972071703200997,
        4.97209175383357,
        4.972111804466141,
        4.972131855098713,
        4.972151905731286,
        4.972171956363858,
        4.972192006996431,
        4.972212057629003,
        4.972232108261574,
        4.972252158894147,
        4.97227220952672,
        4.972292260159292,
        4.972312310791865,
        4.972332361424436,
        4.972352412057009,
        4.972372462689581,
        4.972392513322153,
        4.972412563954726,
        4.972432614587298,
        4.97245266521987,
        4.972472715852443,
        4.972492766485016,
        4.972512817117586,
        4.972532867750159,
        4.972552918382732,
        4.972572969015304,
        4.972593019647877,
        4.972613070280449,
        4.97263312091302,
        4.972653171545593,
        4.972673222178166,
        4.972693272810738,
        4.97271332344331,
        4.972733374075883,
        4.972753424708455,
        4.972773475341027,
        4.9727935259736,
        4.972813576606171,
        4.972833627238744,
        4.972853677871317,
        4.972873728503889,
        4.972893779136461,
        4.972913829769033,
        4.972933880401605,
        4.972953931034178,
        4.972973981666751,
        4.972994032299322,
        4.973014082931895,
        4.973034133564467,
        4.973054184197039,
        4.973074234829612,
        4.973094285462184,
        4.973114336094756,
        4.973134386727329,
        4.9731544373599,
        4.973174487992473,
        4.973194538625045,
        4.973214589257618,
        4.97323463989019,
        4.973254690522763,
        4.973274741155335,
        4.9732947917879065,
        4.973314842420479,
        4.973334893053051,
        4.973354943685624,
        4.973374994318197,
        4.9733950449507685,
        4.973415095583341,
        4.973435146215913,
        4.9734551968484855,
        4.9734752474810575,
        4.9734952981136304,
        4.9735153487462025,
        4.973535399378775,
        4.9735554500113475,
        4.973575500643919,
        4.9735955512764916,
        4.9736156019090645,
        4.9736356525416365,
        4.9736557031742095,
        4.9736757538067815,
        4.973695804439353,
        4.973996563927938,
        4.974016614560511,
        4.974036665193084,
        4.974056715825655,
        4.974076766458227,
        4.974096817090799,
        4.974116867723372,
        4.974136918355945,
        4.974156968988516,
        4.974177019621089,
        4.974197070253662,
        4.974217120886233,
        4.974237171518806,
        4.974257222151378,
        4.97427727278395,
        4.974297323416523,
        4.974317374049096,
        4.974337424681667,
        4.974357475314239,
        4.974377525946812,
        4.974397576579384,
        4.974417627211957,
        4.974437677844529,
        4.974457728477101,
        4.974477779109673,
        4.974497829742246,
        4.974517880374818,
        4.97453793100739,
        4.974557981639963,
        4.974578032272535,
        4.974598082905108,
        4.97461813353768,
        4.974638184170251,
        4.974658234802824,
        4.974678285435397,
        4.974698336067969,
        4.974718386700542,
        4.974738437333113,
        4.974758487965685,
        4.974778538598258,
        4.974798589230831,
        4.974818639863402,
        4.974838690495975,
        4.974858741128548,
        4.974878791761119,
        4.974898842393692,
        4.974918893026263,
        4.974938943658836,
        4.974958994291409,
        4.974979044923982,
        4.974999095556553,
        4.975019146189125,
        4.975039196821697,
        4.97505924745427,
        4.975079298086843,
        4.975099348719415,
        4.975119399351987,
        4.975139449984559,
        4.975159500617131,
        4.975179551249704,
        4.975199601882277,
        4.975219652514848,
        4.975239703147421,
        4.975259753779994,
        4.9752798044125655,
        4.9752998550451375,
        4.97531990567771,
        4.9753399563102825,
        4.975360006942855,
        4.975380057575428,
        4.975400108207999,
        4.9754201588405715,
        4.9754402094731445,
        4.9754602601057165,
        4.9754803107382894,
        4.975921424654879,
        4.975941475287452,
        4.975961525920025,
        4.975981576552596,
        4.976001627185169,
        4.976021677817742,
        4.976041728450314,
        4.976061779082886,
        4.976081829715458,
        4.97610188034803,
        4.976121930980603,
        4.976141981613176,
        4.976162032245747,
        4.97618208287832,
        4.976202133510892,
        4.976222184143464,
        4.976242234776037,
        4.976262285408609,
        4.976282336041181,
        4.976302386673754,
        4.976322437306326,
        4.976342487938898,
        4.97636253857147,
        4.976382589204043,
        4.976402639836615,
        4.976422690469188,
        4.976442741101761,
        4.976462791734331,
        4.976482842366904,
        4.976502892999477,
        4.976522943632049,
        4.976542994264622,
        4.976563044897194,
        4.976583095529765,
        4.976603146162338,
        4.976623196794911,
        4.976643247427482,
        4.976663298060055,
        4.976683348692627,
        4.9767033993252,
        4.976723449957772,
        4.976743500590343,
        4.976763551222916,
        4.976783601855489,
        4.977425222097803,
        4.9774452727303755,
        4.977465323362948,
        4.9774853739955205,
        4.977505424628091,
        4.977525475260664,
        4.977545525893237,
        4.977565576525809,
        4.977585627158382,
        4.977605677790954,
        4.977625728423526,
        4.977645779056098,
        4.977665829688671,
        4.977685880321243,
        4.977705930953815,
        4.977725981586388,
        4.97774603221896,
        4.977766082851532,
        4.977786133484105,
        4.977806184116676
    ],
    "flux": [
        1.08365,
        1.09011,
        1.09658,
        1.10305,
        1.10421,
        1.08741,
        1.08323,
        1.08042,
        1.07627,
        1.08053,
        1.08983,
        1.07485,
        1.06163,
        1.06185,
        1.08056,
        1.07873,
        1.03557,
        1.02195,
        1.05803,
        1.06884,
        1.06567,
        1.06598,
        1.06658,
        1.0675,
        1.07209,
        1.07782,
        1.07484,
        1.07454,
        1.07939,
        1.08838,
        1.09772,
        1.10071,
        1.09241,
        1.0906,
        1.08884,
        1.08548,
        1.08138,
        1.07553,
        1.07301,
        1.07901,
        1.0834,
        1.08413,
        1.08457,
        1.09066,
        1.08795,
        1.08351,
        1.07851,
        1.07689,
        1.07923,
        1.07955,
        1.08412,
        1.08166,
        1.07914,
        1.0794,
        1.0793,
        1.07285,
        1.08401,
        1.08179,
        1.07367,
        1.07093,
        1.07336,
        1.07113,
        1.07269,
        1.06878,
        1.06994,
        1.06866,
        1.06767,
        1.07544,
        1.07714,
        1.07235,
        1.07238,
        1.0731,
        1.07366,
        1.07748,
        1.08953,
        1.07157,
        1.06981,
        1.07579,
        1.07936,
        1.07705,
        1.07895,
        1.07911,
        1.07972,
        1.08129,
        1.07896,
        1.07232,
        1.07332,
        1.0787,
        1.08073,
        1.076,
        1.07254,
        1.07559,
        1.08003,
        1.07675,
        1.07603,
        1.08248,
        1.0811,
        1.07272,
        1.07679,
        1.07548,
        1.08172,
        1.0846,
        1.0855,
        1.08844,
        1.09544,
        1.09683,
        1.10382,
        1.10151,
        1.10383,
        1.10771,
        1.10465,
        1.11579,
        1.1174,
        1.11737,
        1.11489,
        1.10983,
        1.10528,
        1.11,
        1.10782,
        1.1121,
        1.11274,
        1.11588,
        1.12262,
        1.11397,
        1.10578,
        1.11017,
        1.11566,
        1.12367,
        1.13535,
        1.14522,
        1.14152,
        1.13281,
        1.13125,
        1.13549,
        1.13774,
        1.13326,
        1.1421,
        1.13985,
        1.15143,
        1.15984,
        1.16291,
        1.16862,
        1.17054,
        1.17644,
        1.19105,
        1.20921,
        1.22309,
        1.23128,
        1.24957,
        1.27144,
        1.28319,
        1.29566,
        1.30575,
        1.31137,
        1.32297,
        1.32871,
        1.33949,
        1.34405,
        1.34959,
        1.35716,
        1.35529,
        1.36609,
        1.37532,
        1.37163,
        1.36838,
        1.36705,
        1.35734,
        1.34788,
        1.32083,
        1.22151,
        1.03111,
        0.854796,
        0.85045,
        1.07046,
        1.21855,
        1.28794,
        1.31402,
        1.32457,
        1.33196,
        1.33044,
        1.34163,
        1.35267,
        1.35603,
        1.35322,
        1.34784,
        1.34065,
        1.32228,
        1.3184,
        1.30083,
        1.26796,
        1.22881,
        1.14792,
        1.17628,
        1.18797,
        1.20326,
        1.21674,
        1.22258,
        1.2216,
        1.22979,
        1.22888,
        1.23214,
        1.23233,
        1.22803,
        1.22411,
        1.22985,
        1.22227,
        1.20912,
        1.19373,
        1.18925,
        1.1962,
        1.19804,
        1.20168,
        1.20276,
        1.20303,
        1.20071,
        1.19883,
        1.20045,
        1.18853,
        1.18553,
        1.19123,
        1.19331,
        1.19238,
        1.19367,
        1.19198,
        1.18468,
        1.1853,
        1.1855,
        1.18472,
        1.1863,
        1.19314,
        1.19516,
        1.19716,
        1.19641,
        1.19454,
        1.19776,
        1.21169,
        1.20784,
        1.2073,
        1.20597,
        1.20982,
        1.21399,
        1.21042,
        1.21529,
        1.21586,
        1.21619,
        1.222,
        1.22557,
        1.22063,
        1.22183,
        1.22066,
        1.22866,
        1.23078,
        1.22671,
        1.22571,
        1.23732,
        1.22805,
        1.2269,
        1.23148,
        1.23245,
        1.22917,
        1.23077,
        1.23632,
        1.23708,
        1.23557,
        1.23483,
        1.23487,
        1.23564,
        1.24491,
        1.263,
        1.26331,
        1.26137,
        1.26666,
        1.27573,
        1.26927,
        1.27016,
        1.27472,
        1.27521,
        1.27473,
        1.27839,
        1.28809,
        1.29147,
        1.28408,
        1.28466,
        1.29203,
        1.29967,
        1.30331,
        1.31376,
        1.31301,
        1.31755,
        1.32328,
        1.32836,
        1.33247,
        1.33394,
        1.33888,
        1.34909,
        1.35463,
        1.35448,
        1.35261,
        1.35385,
        1.35074,
        1.3593,
        1.36565,
        1.36992,
        1.37563,
        1.38236,
        1.36729,
        1.37224,
        1.37306,
        1.37186,
        1.3762,
        1.38774,
        1.38739,
        1.38707,
        1.38888,
        1.39077,
        1.39628,
        1.40141,
        1.38921,
        1.39792,
        1.39116,
        1.40405,
        1.41403,
        1.41211,
        1.41575,
        1.41444,
        1.41714,
        1.41975,
        1.42345,
        1.42724,
        1.42782,
        1.42129,
        1.42559,
        1.42542,
        1.42161,
        1.41859,
        1.41863,
        1.41881,
        1.41827,
        1.41475,
        1.41872,
        1.42579,
        1.42808,
        1.42178,
        1.42526,
        1.42699,
        1.42472,
        1.42309,
        1.42324,
        1.42277,
        1.41879,
        1.41669,
        1.41537,
        1.41586,
        1.41406,
        1.41128,
        1.41918,
        1.42329,
        1.42462,
        1.42707,
        1.42253,
        1.41392,
        1.41398,
        1.40826,
        1.40921,
        1.41093,
        1.41044,
        1.40962,
        1.411,
        1.41053,
        1.41466,
        1.4153,
        1.40946,
        1.40282,
        1.40278,
        1.41231,
        1.40481,
        1.39809,
        1.39213,
        1.38916,
        1.38994,
        1.39374,
        1.40329,
        1.40885,
        1.40424,
        1.39677,
        1.39367,
        1.39824,
        1.40811,
        1.39785,
        1.39438,
        1.39616,
        1.39819,
        1.39946,
        1.40429,
        1.39659,
        1.39189,
        1.39089,
        1.38522,
        1.37855,
        1.3803,
        1.37783,
        1.36926,
        1.37743,
        1.37966,
        1.37579,
        1.37314,
        1.36591,
        1.36374,
        1.36511,
        1.35848,
        1.35166,
        1.34798,
        1.34185,
        1.35056,
        1.34613,
        1.3513,
        1.35157,
        1.34479,
        1.33754,
        1.32386,
        1.33298,
        1.33213,
        1.32994,
        1.32432,
        1.31674,
        1.31914,
        1.31534,
        1.31315,
        1.30962,
        1.30567,
        1.29987,
        1.29162,
        1.29542,
        1.3003,
        1.29352,
        1.28792,
        1.28746,
        1.28873,
        1.28602,
        1.28023,
        1.27642,
        1.26663,
        1.26139,
        1.26616,
        1.27339,
        1.27711,
        1.26136,
        1.26216,
        1.26545,
        1.26219,
        1.25489,
        1.25155,
        1.24307,
        1.24761,
        1.24897,
        1.2419,
        1.23193,
        1.23089,
        1.24446,
        1.22098,
        1.2214,
        1.22761,
        1.22576,
        1.22247,
        1.22037,
        1.22075,
        1.21982,
        1.21444,
        1.21072,
        1.21213,
        1.20792,
        1.20179,
        1.21406,
        1.21489,
        1.21343,
        1.21359,
        1.20414,
        1.2002,
        1.20176,
        1.20513,
        1.20442,
        1.19922,
        1.19447,
        1.19712,
        1.195,
        1.1952,
        1.19083,
        1.18783,
        1.1885,
        1.18574,
        1.18763,
        1.1838,
        1.19062,
        1.19354,
        1.19125,
        1.19273,
        1.19553,
        1.18716,
        1.1868,
        1.18925,
        1.19051,
        1.19188,
        1.19897,
        1.1895,
        1.18977,
        1.18868,
        1.19059,
        1.19302,
        1.18957,
        1.19273,
        1.18447,
        1.18539,
        1.18636,
        1.18224,
        1.17699,
        1.18464,
        1.19471,
        1.1858,
        1.17761,
        1.18118,
        1.1881,
        1.18102,
        1.188,
        1.1772,
        1.1783,
        1.17797,
        1.17321,
        1.17011,
        1.17702,
        1.17725,
        1.17423,
        1.17444,
        1.17588,
        1.17977,
        1.1896,
        1.1849,
        1.19407,
        1.19366,
        1.19058,
        1.19156,
        1.19421,
        1.18303,
        1.19011,
        1.19292,
        1.19909,
        1.21431,
        1.23024,
        1.22984,
        1.2357,
        1.24874,
        1.26646,
        1.27339,
        1.27581,
        1.28093,
        1.26062,
        1.29007,
        1.29457,
        1.28168,
        1.26351,
        1.2626,
        1.27462,
        1.2726,
        1.29157,
        1.27542,
        1.2705,
        1.26916,
        1.23767,
        1.12091,
        0.927899,
        0.773288,
        0.916938,
        1.11162,
        1.21226,
        1.25348,
        1.27095,
        1.28042,
        1.28075,
        1.29005,
        1.28979,
        1.29529,
        1.29846,
        1.29561,
        1.29381,
        1.26265,
        1.16648,
        1.16543,
        1.16922,
        1.16127,
        1.15589,
        1.15159,
        1.14714,
        1.14723,
        1.15122,
        1.1419,
        1.13773,
        1.13899,
        1.13994,
        1.13747,
        1.13996,
        1.13334,
        1.13801,
        1.13856,
        1.13449,
        1.12758,
        1.1191,
        1.12271,
        1.13449,
        1.12572,
        1.11898,
        1.11784,
        1.11783,
        1.12761,
        1.12303,
        1.11606,
        1.11564,
        1.11876,
        1.1199,
        1.11598,
        1.11098,
        1.11711,
        1.11195,
        1.10932,
        1.11377,
        1.11884,
        1.11256,
        1.12407,
        1.11406,
        1.11331,
        1.11188,
        1.10877,
        1.11374,
        1.11939,
        1.11044,
        1.10436,
        1.10389,
        1.10695,
        1.10921,
        1.10704,
        1.10815,
        1.11281,
        1.11333,
        1.11938,
        1.12742,
        1.12748,
        1.12808,
        1.12673,
        1.11965,
        1.12044,
        1.12788,
        1.13513,
        1.13657,
        1.12981,
        1.13567,
        1.13756,
        1.1379,
        1.14175,
        1.14769,
        1.13944,
        1.1449,
        1.15087,
        1.14747,
        1.14118,
        1.14057,
        1.14742,
        1.14802,
        1.13417,
        1.138,
        1.14257,
        1.14564,
        1.14935,
        1.14481,
        1.14647,
        1.14082,
        1.1439,
        1.14345,
        1.13977,
        1.14661,
        1.1574,
        1.1528,
        1.14967,
        1.14751,
        1.14542,
        1.14287,
        1.1401,
        1.14196,
        1.13467,
        1.13207,
        1.1336,
        1.13411,
        1.13076,
        1.13027,
        1.12396,
        1.12716,
        1.13298,
        1.13303,
        1.12421,
        1.11356,
        1.12605,
        1.11043,
        1.10791,
        1.10538,
        1.10261,
        1.10025,
        1.09403,
        1.08602,
        1.0892,
        1.09619,
        1.09507,
        1.08952,
        1.085,
        1.08519,
        1.08471,
        1.08164,
        1.08059,
        1.07414,
        1.06853,
        1.07137,
        1.07204,
        1.06284,
        1.06058,
        1.05683,
        1.06025,
        1.06276,
        1.05984,
        1.05884,
        1.05985,
        1.06038,
        1.05361,
        1.04513,
        1.04265,
        1.04636,
        1.04853,
        1.04943,
        1.05383,
        1.04855,
        1.04644,
        1.05202,
        1.04577,
        1.04235,
        1.04247,
        1.03708,
        1.0354,
        1.02765,
        1.02354,
        1.01175,
        1.01277,
        1.01482,
        1.0177,
        1.02219,
        1.02356,
        1.02971,
        1.02743,
        1.02474,
        1.02952,
        1.02729,
        1.02656,
        1.02619,
        1.02909,
        1.03374,
        1.02916,
        1.02747,
        1.02896,
        1.0295,
        1.03455,
        1.03622,
        1.03252,
        1.02868,
        1.02904,
        1.02877,
        1.02673,
        1.02822,
        1.0326,
        1.03283,
        1.02743,
        1.02731,
        1.02672,
        1.02479,
        1.02303,
        1.02217,
        1.0242,
        1.02748,
        1.03244,
        1.0287,
        1.02423,
        1.02443,
        1.02948,
        1.02942,
        1.02391,
        1.02461,
        1.02514,
        1.02585,
        1.02829,
        1.03096,
        1.02991,
        1.02683,
        1.02555,
        1.02642,
        1.02849,
        1.02724,
        1.02855,
        1.02402,
        1.02492,
        1.02921,
        1.0304,
        1.0265,
        1.02294,
        1.02665,
        1.02917,
        1.02895,
        1.02462,
        1.02184,
        1.02283,
        1.02388,
        1.02626,
        1.02568,
        1.02528,
        1.02691,
        1.02917,
        1.0322,
        1.02621,
        1.02103,
        1.02205,
        1.02274,
        1.02524,
        1.02577,
        1.02176,
        1.0239,
        1.02291,
        1.02456,
        1.02915,
        1.02721,
        1.02263,
        1.02496,
        1.02411,
        1.02241,
        1.02335,
        1.021,
        1.02032,
        1.02428,
        1.02719,
        1.02869,
        1.02702,
        1.02716,
        1.03269,
        1.03238,
        1.0328,
        1.03559,
        1.03457,
        1.03623,
        1.04153,
        1.04169,
        1.04238,
        1.03885,
        1.03837,
        1.03917,
        1.03989,
        1.0424,
        1.04027,
        1.04269,
        1.04465,
        1.04503,
        1.04866,
        1.04858,
        1.04731,
        1.04708,
        1.04622,
        1.04387,
        1.0418,
        1.04085,
        1.0423,
        1.0386,
        1.0336,
        1.03423,
        1.03344,
        1.03505,
        1.03391,
        1.03221,
        1.03609,
        1.03836,
        1.03836,
        1.0389,
        1.03981,
        1.03715,
        1.0411,
        1.04485,
        1.04382,
        1.04225,
        1.04328,
        1.04026,
        1.0367,
        1.03845,
        1.04065,
        1.04225,
        1.04078,
        1.03976,
        1.03794,
        1.03571,
        1.03226,
        1.03566,
        1.03732,
        1.03205,
        1.03561,
        1.0387,
        1.03686,
        1.0327,
        1.03317,
        1.03156,
        1.03015,
        1.02865,
        1.02884,
        1.02973,
        1.03027,
        1.0306,
        1.03305,
        1.02907,
        1.02581,
        1.02686,
        1.02497,
        1.02591,
        1.02712,
        1.02675,
        1.02493,
        1.02721,
        1.02784,
        1.02835,
        1.02901,
        1.02848,
        1.03026,
        1.0276,
        1.02959,
        1.03087,
        1.03196,
        1.03364,
        1.03158,
        1.03134,
        1.02798,
        1.02836,
        1.02806,
        1.0313,
        1.03208,
        1.03177,
        1.03178,
        1.03345,
        1.03553,
        1.03243,
        1.03045,
        1.0348,
        1.03591,
        1.03673,
        1.03786,
        1.03954,
        1.04126,
        1.0403,
        1.04307,
        1.04424,
        1.04789,
        1.0483,
        1.05068,
        1.05121,
        1.04555,
        1.04579,
        1.05185,
        1.05011,
        1.04785,
        1.04796,
        1.05027,
        1.05231,
        1.05432,
        1.05274,
        1.05572,
        1.05423,
        1.05248,
        1.05569,
        1.05627,
        1.05969,
        1.05557,
        1.05808,
        1.0612,
        1.05943,
        1.06353,
        1.06926,
        1.06972,
        1.06813,
        1.06614,
        1.0635,
        1.06728,
        1.06638,
        1.06984,
        1.06622,
        1.06891,
        1.06969,
        1.07213,
        1.07323,
        1.07156,
        1.07645,
        1.07767,
        1.07664,
        1.07921,
        1.07826,
        1.07372,
        1.07503,
        1.07999,
        1.08456,
        1.08244,
        1.08078,
        1.08022,
        1.07897,
        1.08545,
        1.08619,
        1.08544,
        1.08615,
        1.08551,
        1.08747,
        1.08967,
        1.09417,
        1.09712,
        1.097,
        1.09598,
        1.09588,
        1.10059,
        1.10344,
        1.10583,
        1.109,
        1.11072,
        1.10945,
        1.10891,
        1.11116,
        1.11037,
        1.11141,
        1.10847,
        1.11002,
        1.11366,
        1.11116,
        1.10702,
        1.10609,
        1.1057,
        1.10838,
        1.1098,
        1.11273,
        1.11342,
        1.10588,
        1.10563,
        1.10932,
        1.10769,
        1.10843,
        1.11271,
        1.11603,
        1.11348,
        1.11112,
        1.11037,
        1.11093,
        1.11169,
        1.11193,
        1.10827,
        1.11091,
        1.11298,
        1.11218,
        1.11263,
        1.11206,
        1.11108,
        1.10974,
        1.11192,
        1.11016,
        1.11019,
        1.10677,
        1.10176,
        1.09878,
        1.09608,
        1.09966,
        1.09683,
        1.09701,
        1.09833,
        1.09837,
        1.09979,
        1.0907,
        1.08642,
        1.08681,
        1.08635,
        1.08555,
        1.08831,
        1.08365,
        1.08363,
        1.08289,
        1.08136,
        1.07957,
        1.07833,
        1.07791,
        1.07378,
        1.07025,
        1.0717,
        1.07323,
        1.06965,
        1.07027,
        1.0712,
        1.06931,
        1.073,
        1.07458,
        1.07013,
        1.06899,
        1.06745,
        1.06685,
        1.07069,
        1.07102,
        1.07122,
        1.07383,
        1.07479,
        1.06989,
        1.06725,
        1.07169,
        1.07303,
        1.07401,
        1.07562,
        1.07333,
        1.06927,
        1.07267,
        1.07209,
        1.07882,
        1.08106,
        1.07797,
        1.08021,
        1.08187,
        1.07726,
        1.07986,
        1.08056,
        1.08077,
        1.08362,
        1.08392,
        1.08363,
        1.08226,
        1.08274,
        1.08412,
        1.08523,
        1.08665,
        1.08494,
        1.08428,
        1.08373,
        1.08355,
        1.08499,
        1.08723,
        1.08962,
        1.09139,
        1.08785,
        1.08652,
        1.08827,
        1.09128,
        1.09427,
        1.09448,
        1.09201,
        1.09469,
        1.09573,
        1.09609,
        1.0977,
        1.09681,
        1.09599,
        1.0992,
        1.10333,
        1.10496,
        1.10723,
        1.10655,
        1.10767,
        1.10776,
        1.10286,
        1.10445,
        1.10482,
        1.10389,
        1.10401,
        1.10755,
        1.1108,
        1.11583,
        1.11337,
        1.11261,
        1.11451,
        1.11648,
        1.11921,
        1.11768,
        1.11496,
        1.11484,
        1.11931,
        1.12198,
        1.12387,
        1.1269,
        1.12217,
        1.12542,
        1.12234,
        1.12842,
        1.12878,
        1.12568,
        1.12908,
        1.12774,
        1.12819,
        1.13303,
        1.13559,
        1.1418,
        1.14517,
        1.14673,
        1.14763,
        1.14013,
        1.14604,
        1.1494,
        1.15427,
        1.15862,
        1.16,
        1.16493,
        1.15885,
        1.15683,
        1.15939,
        1.16178,
        1.16175,
        1.16516,
        1.16999,
        1.17042,
        1.16843,
        1.16846,
        1.17093,
        1.17223,
        1.17201,
        1.16883,
        1.1652,
        1.16574,
        1.16924,
        1.17128,
        1.16884,
        1.16458,
        1.1651,
        1.16528,
        1.16851,
        1.17108,
        1.17254,
        1.17596,
        1.17486,
        1.1749,
        1.17645,
        1.17563,
        1.17875,
        1.18287,
        1.18244,
        1.18306,
        1.17874,
        1.18052,
        1.18061,
        1.1804,
        1.18145,
        1.18299,
        1.17767,
        1.18468,
        1.18437,
        1.17997,
        1.18046,
        1.18257,
        1.18307,
        1.17646,
        1.17536,
        1.17272,
        1.17439,
        1.17466,
        1.17312,
        1.17027,
        1.17068,
        1.16851,
        1.1713,
        1.17387,
        1.17264,
        1.16972,
        1.17011,
        1.16905,
        1.16972,
        1.16557,
        1.16726,
        1.1709,
        1.16932,
        1.16579,
        1.16661,
        1.16913,
        1.17315,
        1.17242,
        1.17132,
        1.17262,
        1.1745,
        1.17337,
        1.17596,
        1.17128,
        1.17116,
        1.1728,
        1.17257,
        1.17018,
        1.17422,
        1.16063,
        1.05358,
        1.15402,
        1.143,
        1.17802,
        1.17542,
        1.16842,
        1.18173,
        1.17993,
        1.18204,
        1.18668,
        1.18503,
        1.1849,
        1.19385,
        1.19473,
        1.19248,
        1.19348,
        1.19629,
        1.19917,
        1.20108,
        1.20104,
        1.20218,
        1.20933,
        1.20795,
        1.20221,
        1.20687,
        1.20405,
        1.20051,
        1.20164,
        1.20209,
        1.20411,
        1.20569,
        1.2018,
        1.20154,
        1.20285,
        1.20646,
        1.20955,
        1.20842,
        1.20364,
        1.20807,
        1.20957,
        1.20605,
        1.2055,
        1.20778,
        1.21243,
        1.2162,
        1.21876,
        1.21338,
        1.21533,
        1.21733,
        1.22299,
        1.22386,
        1.22446,
        1.2273,
        1.23334,
        1.24042,
        1.24866,
        1.25221,
        1.26279,
        1.27762,
        1.28855,
        1.2934,
        1.30165,
        1.30873,
        1.31636,
        1.33148,
        1.34187,
        1.34217,
        1.3479,
        1.35142,
        1.35338,
        1.35757,
        1.35893,
        1.35685,
        1.35878,
        1.36248,
        1.36919,
        1.36986,
        1.3652,
        1.36132,
        1.34977,
        1.33849,
        1.31831,
        1.23234,
        1.05185,
        0.881991,
        0.901899,
        1.10199,
        1.23213,
        1.29358,
        1.3111,
        1.31952,
        1.33104,
        1.34369,
        1.34205,
        1.34997,
        1.35946,
        1.3418,
        1.34466,
        1.34284,
        1.3729,
        1.19311,
        1.18898,
        1.18578,
        1.18467,
        1.18449,
        1.18115,
        1.18384,
        1.17839,
        1.17573,
        1.17067,
        1.16658,
        1.1589,
        1.15779,
        1.16138,
        1.15879,
        1.1526,
        1.14576,
        1.1447,
        1.14341,
        1.14099,
        1.1427,
        1.14338,
        1.14226,
        1.14109,
        1.14386,
        1.14137,
        1.14084,
        1.13522,
        1.13521,
        1.13844,
        1.13614,
        1.13113,
        1.12819,
        1.12144,
        1.12286,
        1.11915,
        1.11736,
        1.11923,
        1.11732,
        1.11874,
        1.11724,
        1.10883,
        1.11148,
        1.10776,
        1.09914,
        1.10082,
        1.09909,
        1.10077,
        1.1021,
        1.0944,
        1.09065,
        1.08624,
        1.0939,
        1.09423,
        1.08897,
        1.08707,
        1.08423,
        1.0846,
        1.07956,
        1.07955,
        1.07735,
        1.07361,
        1.07249,
        1.07496,
        1.07169,
        1.06672,
        1.06079,
        1.06153,
        1.06233,
        1.06041,
        1.06048,
        1.05662,
        1.0548,
        1.05732,
        1.06396,
        1.06386,
        1.05679,
        1.05525,
        1.05704,
        1.05411,
        1.04842,
        1.04609,
        1.04363,
        1.0437,
        1.04477,
        1.04931,
        1.04971,
        1.04376,
        1.04645,
        1.04773,
        1.04787,
        1.04816,
        1.04486,
        1.04752,
        1.04725,
        1.05075,
        1.04619,
        1.04518,
        1.04179,
        1.03893,
        1.04009,
        1.03778,
        1.0392,
        1.03939,
        1.04223,
        1.04119,
        1.04014,
        1.03967,
        1.04167,
        1.04031,
        1.04026,
        1.03536,
        1.03819,
        1.0417,
        1.03499,
        1.03653,
        1.03885,
        1.03559,
        1.0381,
        1.0358,
        1.02935,
        1.03566,
        1.04166,
        1.03108,
        1.02938,
        1.03078,
        1.03674,
        1.03757,
        1.03778,
        1.03791,
        1.03974,
        1.03896,
        1.03703,
        1.04216,
        1.0421,
        1.04631,
        1.04934,
        1.05017,
        1.05278,
        1.05244,
        1.05277,
        1.05223,
        1.04877,
        1.05082,
        1.05097,
        1.05027,
        1.0533,
        1.05432,
        1.05252,
        1.04885,
        1.04759,
        1.04517,
        1.04728,
        1.05002,
        1.04974,
        1.04617,
        1.04618,
        1.04726,
        1.04492,
        1.04554,
        1.04277,
        1.03937,
        1.04178,
        1.04178,
        1.04237,
        1.0426,
        1.0434,
        1.04396,
        1.04603,
        1.04829,
        1.04926,
        1.047,
        1.0455,
        1.04408,
        1.04294,
        1.04813,
        1.04614,
        1.04577,
        1.04718,
        1.0477,
        1.04402,
        1.04232,
        1.041,
        1.03888,
        1.03661,
        1.03588,
        1.0379,
        1.03731,
        1.03826,
        1.03434,
        1.03271,
        1.03278,
        1.03429,
        1.03277,
        1.03241,
        1.03,
        1.03283,
        1.03424,
        1.0328,
        1.02906,
        1.03409,
        1.0366,
        1.03009,
        1.03003,
        1.02314,
        1.02493,
        1.03276,
        1.03262,
        1.02695,
        1.03095,
        1.02869,
        1.01756,
        1.01442,
        1.03379,
        1.03464,
        1.03528,
        1.03772,
        1.05642,
        1.01146,
        1.01876,
        1.02596,
        1.02893,
        1.0301,
        1.02289,
        1.03428,
        1.03073,
        1.0219,
        1.02581,
        1.03031,
        1.02922,
        1.02979,
        1.03521,
        1.03309,
        1.03373,
        1.0325,
        1.02806,
        1.03003,
        1.03213,
        1.03224,
        1.02882,
        1.02739,
        1.03525,
        1.03662,
        1.03692,
        1.03584,
        1.03392,
        1.03273,
        1.02857,
        1.03315,
        1.0353,
        1.03495,
        1.03338,
        1.03316,
        1.0355,
        1.03193,
        1.03083,
        1.03058,
        1.03304,
        1.03623,
        1.03581,
        1.03142,
        1.02853,
        1.03193,
        1.02753,
        1.02791,
        1.03382,
        1.03483,
        1.03314,
        1.03313,
        1.03397,
        1.02946,
        1.03072,
        1.03272,
        1.02812,
        1.02983,
        1.03329,
        1.03486,
        1.03446,
        1.03652,
        1.02695,
        1.02663,
        1.02991,
        1.03297,
        1.03866,
        1.03876,
        1.0374,
        1.03687,
        1.03631,
        1.03939,
        1.03829,
        1.03641,
        1.03539,
        1.03016,
        1.03214,
        1.03894,
        1.03854,
        1.03991,
        1.04428,
        1.04667,
        1.0478,
        1.04548,
        1.05131,
        1.05081,
        1.05303,
        1.05349,
        1.06043,
        1.06148,
        1.06517,
        1.06258,
        1.06947,
        1.07174,
        1.07199,
        1.07087,
        1.07196,
        1.07002,
        1.07659,
        1.0812,
        1.08222,
        1.08742,
        1.09503,
        1.09015,
        1.0838,
        1.09154,
        1.09793,
        1.08474,
        1.1189,
        1.12768,
        1.12842,
        1.13851,
        1.13507,
        1.14823,
        1.16474,
        1.17751,
        1.18039,
        1.1919,
        1.20062,
        1.20933,
        1.21987,
        1.22199,
        1.23871,
        1.25182,
        1.25571,
        1.2639,
        1.27407,
        1.28549,
        1.29037,
        1.28962,
        1.28774,
        1.29074,
        1.3027,
        1.29417,
        1.28857,
        1.28487,
        1.27776,
        1.2689,
        1.25255,
        1.18943,
        1.02867,
        0.838674,
        0.841839,
        0.980826,
        1.13278,
        1.2096,
        1.23369,
        1.24979,
        1.26146,
        1.27315,
        1.27783,
        1.27892,
        1.27974,
        1.28469,
        1.28291,
        1.2773,
        1.27613,
        1.27056,
        1.25805,
        1.23882,
        1.20992,
        1.19419,
        1.15677,
        1.12926,
        1.11714,
        1.12463,
        1.13121,
        1.13543,
        1.14077,
        1.14095,
        1.14272,
        1.14659,
        1.14506,
        1.14433,
        1.14027,
        1.13401,
        1.13333,
        1.12525,
        1.11756,
        1.11126,
        1.11469,
        1.1058,
        1.10212,
        1.09672,
        1.09173,
        1.0884,
        1.08807,
        1.08377,
        1.08032,
        1.07731,
        1.079,
        1.07748,
        1.06586,
        1.06622,
        1.06423,
        1.06153,
        1.05812,
        1.05486,
        1.05735,
        1.05725,
        1.05352,
        1.05313,
        1.04876,
        1.04361,
        1.04317,
        1.03894,
        1.0385,
        1.04255,
        1.04445,
        1.04102,
        1.04017,
        1.03572,
        1.036,
        1.03381,
        1.03107,
        1.02894,
        1.02585,
        1.02343,
        1.02453,
        1.02274,
        1.02172,
        1.02654,
        1.01302,
        1.01328,
        1.00659,
        1.00706,
        1.01222,
        1.01121,
        1.007,
        1.00901,
        1.01545,
        1.01213,
        1.0058,
        1.0065,
        1.00383,
        1.00369,
        1.00824,
        1.0129,
        1.01288,
        0.998007,
        1.00328,
        1.0083,
        1.00741,
        1.00032,
        0.997877,
        1.00711,
        1.01652,
        1.01103,
        1.0072,
        1.00921,
        1.00893,
        1.01245,
        1.01574,
        1.01357,
        1.01537,
        1.01123,
        1.01785,
        1.01916,
        1.02753,
        1.03324,
        1.03412,
        1.03223,
        1.02295,
        1.01995,
        1.01309,
        1.01434,
        1.02306,
        1.02581,
        1.02049,
        1.01374,
        1.00729,
        1.00783,
        1.01242,
        1.00427,
        1.00176,
        0.9992,
        1.00054,
        1.0088,
        1.00885,
        1.00133,
        1.00443,
        1.00371,
        1.01665,
        1.02534,
        1.0219,
        1.01289,
        1.00516,
        1.01324,
        1.00788,
        1.00959,
        1.01153,
        1.01517,
        1.01733,
        1.01495,
        1.01313,
        1.01303,
        1.00573,
        1.00552,
        1.00445,
        1.00625,
        1.00905,
        1.00882,
        1.00693,
        0.995328,
        0.995143,
        0.997022,
        1.00153,
        1.00384,
        0.998128,
        0.995851,
        0.997302,
        0.997991,
        0.997461,
        0.999363,
        0.99795,
        1.00136,
        0.997122,
        0.993165,
        0.994587,
        0.995699,
        0.992849,
        0.990035,
        0.9912,
        1.00097,
        0.988971,
        0.989415,
        0.989861,
        0.990201,
        0.99013,
        0.986537,
        0.988323,
        0.986455,
        0.995868,
        0.996595,
        0.988902,
        0.989997,
        0.994597,
        0.988448,
        0.990208,
        0.994328,
        0.996685,
        1.00133,
        0.99352,
        0.993402,
        0.997592,
        0.991247,
        0.987635,
        0.997083,
        0.997379,
        0.98922,
        0.986353,
        0.991635,
        0.996857,
        0.994306,
        0.989428,
        1.00209,
        1.0048,
        0.992406,
        0.992778,
        0.990973,
        0.989455,
        0.99276,
        0.992526,
        0.998802,
        0.992391,
        0.994223,
        0.993036,
        0.993958,
        0.997595,
        1.0003,
        0.99951,
        0.997304,
        0.994788,
        1.00074,
        0.99459,
        0.988742,
        0.990706,
        0.994958,
        0.993629,
        0.991874,
        1.00109,
        0.997707,
        0.998098,
        0.995068,
        0.993412,
        0.997943,
        1.00327,
        0.99798,
        0.99649,
        0.989547,
        0.995091,
        1.00212,
        0.992622,
        0.99789,
        0.999414,
        0.995095,
        0.996774,
        0.996553,
        1.00055,
        1.00566,
        0.998869,
        0.992872,
        0.999262,
        0.995671,
        1.0013,
        0.999224,
        0.993794,
        0.99129,
        0.990582,
        0.989763,
        0.992826,
        0.99051,
        0.99234,
        1.00319,
        1.00308,
        1.0021,
        0.994545,
        0.993371,
        0.994424,
        1.00125,
        1.00159,
        1.00212,
        0.999399,
        0.995638,
        0.998101,
        1.00706,
        1.00382,
        0.999802,
        0.996198,
        0.994517,
        0.996878,
        0.996529,
        0.995561,
        0.998164,
        0.987035,
        0.991343,
        1.00031,
        0.998876,
        0.993649,
        0.993572,
        0.993989,
        0.993024,
        1.003,
        0.999608,
        0.999433,
        1.00064,
        1.0019,
        0.998485,
        0.99971,
        1.00557,
        1.00339,
        1.00326,
        1.00686,
        1.00576,
        1.00217,
        1.00173,
        1.00893,
        1.01365,
        1.00712,
        1.00256,
        1.00424,
        0.999942,
        0.997016,
        1.00014,
        1.00434,
        1.00764,
        1.0095,
        1.0102,
        1.01761,
        1.01801,
        1.02277,
        1.02194,
        1.02068,
        1.02129,
        1.02372,
        1.0275,
        1.0321,
        1.03935,
        1.04017,
        1.03721,
        1.03344,
        1.0335,
        1.03898,
        1.04378,
        1.04134,
        1.04575,
        1.04824,
        1.04842,
        1.04742,
        1.04922,
        1.04875,
        1.04512,
        1.04137,
        1.03643,
        1.04258,
        1.04912,
        1.04708,
        1.04918,
        1.05199,
        1.05417,
        1.05459,
        1.05264,
        1.05948,
        1.05927,
        1.06507,
        1.06522,
        1.07313,
        1.07749,
        1.07498,
        1.07426,
        1.07838,
        1.09525,
        1.10484,
        1.1111,
        1.12123,
        1.13367,
        1.14889,
        1.16395,
        1.17324,
        1.18225,
        1.20326,
        1.21601,
        1.22952,
        1.24205,
        1.25436,
        1.26653,
        1.26898,
        1.25872,
        1.29871,
        1.29536,
        1.30886,
        1.31498,
        1.30962,
        1.35014,
        1.34701,
        1.33109,
        1.31655,
        1.29998,
        1.2842,
        1.27473,
        1.24782,
        1.15039,
        0.956092,
        0.839752,
        0.935186,
        1.10749,
        1.20238,
        1.24542,
        1.25995,
        1.26777,
        1.27262,
        1.28286,
        1.28576,
        1.28877,
        1.29073,
        1.29191,
        1.28407,
        1.27243,
        1.26115,
        1.24927,
        1.24034,
        1.24991,
        1.26834,
        1.1458,
        1.15592,
        1.14688,
        1.15344,
        1.14225,
        1.13697,
        1.13025,
        1.12086,
        1.11081,
        1.10769,
        1.10059,
        1.10867,
        1.08847,
        1.08095,
        1.08659,
        1.08346,
        1.0759,
        1.07385,
        1.08199,
        1.0764,
        1.07285,
        1.0686,
        1.06351,
        1.0627,
        1.06176,
        1.05876,
        1.0565,
        1.05344,
        1.05464,
        1.05036,
        1.04499,
        1.04305,
        1.04709,
        1.04189,
        1.0382,
        1.03699,
        1.03352,
        1.03378,
        1.03223,
        1.029,
        1.02433,
        1.02129,
        1.02134,
        1.01849,
        1.01106,
        1.00992,
        1.00847,
        1.01217,
        1.01006,
        1.00977,
        1.01604,
        1.01514,
        1.01125,
        1.00927,
        1.01282,
        1.01324,
        1.01284,
        1.01082,
        1.01143,
        1.01141,
        1.00963,
        1.00214,
        1.00245,
        1.00182,
        0.999589,
        0.998998,
        1.00034,
        1.0013,
        0.995062,
        0.989569,
        0.995331,
        0.996548,
        0.997385,
        0.991364,
        0.989165,
        0.99006,
        0.987034,
        0.987014,
        0.986658,
        0.983699,
        0.983456,
        0.98969,
        0.990865,
        0.988488,
        0.9834,
        0.984382,
        0.985271,
        0.985734,
        0.986372,
        0.989412,
        0.987405,
        0.990763,
        0.988356,
        0.983913,
        0.97047,
        0.974637,
        0.983972,
        0.984805,
        0.984473,
        0.98481,
        0.986274,
        0.987673,
        0.985659,
        0.984466,
        0.985888,
        0.987803,
        0.988537,
        0.985444,
        0.985548,
        0.987151,
        0.988667,
        0.988996,
        0.991852,
        0.993284,
        0.988658,
        0.984645,
        0.984164,
        0.987352,
        0.986237,
        0.98658,
        0.984219,
        0.98584,
        0.986916,
        0.98616,
        0.986121,
        0.989704,
        0.990739,
        0.98637,
        0.991849,
        0.991206,
        0.992406,
        0.993784,
        0.996375,
        0.996609,
        0.998661,
        0.999017,
        1.00149,
        0.997982,
        0.999656,
        1.00282,
        1.00237,
        1.00068,
        0.999011,
        0.995187,
        0.997224,
        0.997829,
        0.994065,
        0.993415,
        0.997525,
        0.99919,
        0.998844,
        0.997159,
        0.990475,
        0.994145,
        0.994973,
        0.998332,
        0.998683,
        0.997628,
        0.997595,
        0.995159,
        0.99796,
        0.998302,
        0.99733,
        0.997243,
        0.994145,
        0.991945,
        0.984263,
        0.985722,
        0.992143,
        0.99695,
        0.995176,
        0.99386,
        0.993688,
        0.99415,
        0.995893,
        0.99248,
        0.994915,
        0.996411,
        0.996412,
        0.993269,
        0.991501,
        0.989677,
        0.996061,
        0.992427,
        0.987916,
        0.987822,
        0.991815,
        0.990969,
        0.983366,
        0.983007,
        0.98376,
        0.989498,
        0.991087,
        0.989412,
        0.987932,
        0.989831,
        0.992617,
        0.989151,
        0.985646,
        0.984035,
        0.986746,
        0.983733,
        0.984868,
        0.978784,
        0.96976,
        0.973557,
        0.979746,
        0.970051,
        0.973001,
        0.970878,
        0.972102,
        0.983791,
        0.983131,
        0.977834,
        0.981753,
        0.968408,
        0.975352,
        0.97659,
        0.971901,
        0.967021,
        0.965518,
        0.962383,
        0.968007,
        0.975725,
        0.971831,
        0.972574,
        0.966061,
        0.969936,
        0.965534,
        0.971273,
        0.975352,
        0.973147,
        0.967159,
        0.968757,
        0.968357,
        0.966451,
        0.965707,
        0.973986,
        0.984407,
        0.982056,
        0.982228,
        0.968473,
        0.964544,
        0.968814,
        0.969284,
        0.974157,
        0.981235,
        0.985846,
        0.985967,
        0.980313,
        0.978461,
        0.975995,
        0.977723,
        0.976117,
        0.978397,
        0.977006,
        0.978791,
        0.978925,
        0.976896,
        0.979272,
        0.979748,
        0.981268,
        0.98586,
        0.982197,
        0.980464,
        0.982744,
        0.979066,
        0.979128,
        0.980695,
        0.979389,
        0.973543,
        0.974435,
        0.971549,
        0.973431,
        0.97324,
        0.977818,
        0.983321,
        0.979989,
        0.972621,
        0.973913,
        0.972291,
        0.977488,
        0.982138,
        0.985744,
        0.982757,
        0.980241,
        0.980042,
        0.981755,
        0.987506,
        0.98672,
        0.983839,
        0.983574,
        0.982711,
        0.980444,
        0.981424,
        0.983945,
        0.98524,
        0.986684,
        0.987649,
        0.988739,
        0.986711,
        0.98869,
        0.991763,
        0.995875,
        0.998995,
        0.99521,
        0.996276,
        1.00302,
        0.994031,
        0.993921,
        0.996926,
        0.99868,
        1.00134,
        1.00075,
        0.996988,
        0.9968,
        0.997625,
        0.999213,
        0.99856,
        0.999511,
        0.997871,
        0.997463,
        1.00039,
        1.00193,
        1.00106,
        1.00188,
        1.00658,
        1.00996,
        1.00647,
        1.00724,
        1.011,
        1.01318,
        1.01581,
        1.02531,
        1.02549,
        1.02526,
        1.03104,
        1.03841,
        1.03775,
        1.03949,
        1.03885,
        1.04657,
        1.04646,
        1.04854,
        1.04864,
        1.052,
        1.05558,
        1.05888,
        1.06202,
        1.0606,
        1.06179,
        1.06243,
        1.06308,
        1.06758,
        1.07239,
        1.07163,
        1.07124,
        1.07202,
        1.07586,
        1.0766,
        1.07628,
        1.07797,
        1.0771,
        1.0771,
        1.08132,
        1.08282,
        1.08913,
        1.08691,
        1.08894,
        1.09118,
        1.09235,
        1.09753,
        1.09885,
        1.10207,
        1.10802,
        1.10962,
        1.11429,
        1.1206,
        1.13245,
        1.14537,
        1.16474,
        1.17451,
        1.18886,
        1.2054,
        1.21615,
        1.23192,
        1.24383,
        1.25656,
        1.26937,
        1.28796,
        1.29895,
        1.30875,
        1.31665,
        1.32614,
        1.3296,
        1.33451,
        1.3413,
        1.34453,
        1.349,
        1.35068,
        1.35073,
        1.34127,
        1.32583,
        1.32335,
        1.31537,
        1.29405,
        1.20989,
        1.05793,
        0.957723,
        1.03735,
        1.16554,
        1.22349,
        1.24493,
        1.26359,
        1.27955,
        1.29277,
        1.30107,
        1.29992,
        1.29784,
        1.29589,
        1.28681,
        1.26787,
        1.26951,
        1.25024,
        1.24948,
        1.24372,
        1.3012,
        1.1171,
        1.13053,
        1.1325,
        1.13829,
        1.134,
        1.13232,
        1.12504,
        1.11213,
        1.10865,
        1.10333,
        1.09822,
        1.09222,
        1.0822,
        1.0823,
        1.07722,
        1.07453,
        1.06464,
        1.04748,
        1.05114,
        1.05305,
        1.04638,
        1.04127,
        1.03954,
        1.03401,
        1.02865,
        1.02637,
        1.02531,
        1.02461,
        1.02349,
        1.02022,
        1.02007,
        1.01933,
        1.01823,
        1.01342,
        1.01008,
        1.01118,
        1.00795,
        1.00577,
        1.0066,
        1.00591,
        1.00382,
        0.998331,
        1.00142,
        1.00481,
        1.00853,
        1.00665,
        1.00253,
        1.00184,
        0.998185,
        0.998249,
        0.999436,
        0.994379,
        0.993314,
        0.991865,
        0.986856,
        0.986226,
        0.98539,
        0.982621,
        0.986245,
        0.984554,
        0.98552,
        0.986116,
        0.988435,
        0.987023,
        0.985751,
        0.986908,
        0.98968,
        0.985898,
        0.981281,
        0.976544,
        0.973635,
        0.977155,
        0.981988,
        0.984386,
        0.984932,
        0.97595,
        0.97547,
        0.978083,
        0.991845,
        0.991388,
        0.985072,
        0.984884,
        0.986141,
        0.982453,
        0.982983,
        0.984326,
        0.985163,
        0.987099,
        0.990283,
        0.988587,
        0.986047,
        0.987488,
        0.989032,
        0.989922,
        0.98618,
        0.985638,
        0.98905,
        0.990796,
        0.988502,
        0.98572,
        0.983132,
        0.983215,
        0.982278,
        0.981771,
        0.980337,
        0.976575,
        0.965646,
        0.978101,
        0.99146,
        0.986566,
        0.986701,
        0.985907,
        0.983145,
        0.982756,
        0.987414,
        0.985817,
        0.984755,
        0.988539,
        0.992851,
        0.997729,
        0.989576,
        0.980204,
        0.983577,
        0.9893,
        0.991123,
        0.988879,
        0.985783,
        0.98954,
        0.986253,
        0.984224,
        0.986447,
        0.989123,
        0.990031,
        0.988781,
        0.990285,
        0.989011,
        0.990228,
        0.987039,
        0.98802,
        0.987348,
        0.988857,
        0.988853,
        0.986586,
        0.988255,
        0.987489,
        0.987274,
        0.985843,
        0.987151,
        0.989629,
        0.990232,
        0.991152,
        0.988685,
        0.987335,
        0.979798,
        0.979258,
        0.982938,
        0.984385,
        0.984914,
        0.986333,
        0.985276,
        0.982895,
        0.984441,
        0.977802,
        0.977988,
        0.981139,
        0.983872,
        0.987736,
        0.987082,
        0.986947,
        0.987455,
        0.983497,
        0.976804,
        0.983282,
        0.993284,
        0.992283,
        0.986292,
        0.983662,
        0.987511,
        0.988403,
        0.984873,
        0.983964,
        0.982005,
        0.982977,
        0.982182,
        0.982787,
        0.985572,
        0.983759,
        0.980425,
        0.978064,
        0.982661,
        0.987183,
        0.988075,
        0.985989,
        0.986695,
        0.983626,
        0.981937,
        0.978429,
        0.977501,
        0.978473,
        0.983174,
        0.984237,
        0.986763,
        0.975168,
        0.986972,
        0.99096,
        0.989055,
        0.989444,
        0.991724,
        0.987698,
        0.982916,
        0.9879,
        0.989662,
        0.987006,
        0.983635,
        0.98208,
        0.989695,
        0.99811,
        0.990155,
        0.979181,
        0.982967,
        0.991,
        0.987408,
        0.988621,
        0.98055,
        0.984308,
        0.973894,
        0.969648,
        0.972622,
        0.978279,
        0.981606,
        0.984165,
        0.987913,
        0.983026,
        0.960961,
        0.971258,
        0.985257,
        0.983184,
        0.979451,
        0.976888,
        0.974939,
        0.97851,
        0.979167,
        0.981255,
        0.983436,
        0.980793,
        0.978269,
        0.979175,
        0.977663,
        0.971615,
        0.970177,
        0.970744,
        0.975875,
        0.98052,
        0.980902,
        0.979748,
        0.97651,
        0.979051,
        0.978791,
        0.982933,
        0.984823,
        0.986753,
        0.984515,
        0.988279,
        0.985633,
        0.97052,
        0.964993,
        0.996603,
        0.991405,
        0.987197,
        0.986366,
        0.987689,
        0.990915,
        0.989121,
        0.986128,
        0.989803,
        0.989903,
        0.984891,
        0.980705,
        0.971075,
        0.986809,
        0.997211,
        0.990289,
        0.992075,
        0.999385,
        1.00108,
        1.00358,
        0.999704,
        0.994991,
        0.985253,
        0.993309,
        0.991895,
        0.995341,
        0.996884,
        0.99368,
        0.988678,
        0.981502,
        0.960431,
        0.967312,
        0.968076,
        0.994767,
        0.944824,
        0.923936,
        0.963193,
        0.973562,
        0.97546,
        0.981185,
        0.983502,
        0.991118,
        1.00017,
        1.00347,
        1.01273,
        1.00811,
        1.01235,
        1.01421,
        1.00687,
        1.01285,
        1.02133,
        1.01945,
        1.02543,
        1.03366,
        1.03464,
        1.0353,
        1.03573,
        1.03694,
        1.03712,
        1.03819,
        1.04096,
        1.04302,
        1.03926,
        1.03885,
        1.04013,
        1.04243,
        1.04868,
        1.0534,
        1.05021,
        1.04949,
        1.05181,
        1.05874,
        1.06017,
        1.06519,
        1.06774,
        1.06848,
        1.06782,
        1.06625,
        1.06773,
        1.07021,
        1.06994,
        1.0728,
        1.07364,
        1.07805,
        1.08088,
        1.08562,
        1.08801,
        1.09162,
        1.08985,
        1.09005,
        1.08705,
        1.09118,
        1.0957,
        1.0965,
        1.10442,
        1.10702,
        1.09804,
        1.09683,
        1.10889,
        1.12124,
        1.13161,
        1.12134,
        1.12176,
        1.10143,
        1.10267,
        1.11064,
        1.12446,
        1.11837,
        1.10908,
        1.10725,
        1.11966,
        1.1305,
        1.13607,
        1.15055,
        1.17106,
        1.18638,
        1.19339,
        1.20634,
        1.22574,
        1.23949,
        1.2497,
        1.27015,
        1.29227,
        1.30911,
        1.32157,
        1.33169,
        1.33812,
        1.34885,
        1.35208,
        1.36367,
        1.36961,
        1.37626,
        1.37848,
        1.37148,
        1.36571,
        1.3583,
        1.35158,
        1.34686,
        1.33308,
        1.30783,
        1.24559,
        1.15374,
        1.11515,
        1.15748,
        1.2293,
        1.27777,
        1.30072,
        1.30488,
        1.31831,
        1.32699,
        1.32772,
        1.33043,
        1.33211,
        1.33331,
        1.33257,
        1.32228,
        1.31702,
        1.29782,
        1.28611,
        1.30401,
        1.11909,
        1.15518,
        1.1511,
        1.14107,
        1.14295,
        1.13506,
        1.13622,
        1.1354,
        1.11578,
        1.09964,
        1.09807,
        1.09207,
        1.08948,
        1.08378,
        1.07778,
        1.07224,
        1.07115,
        1.06804,
        1.06365,
        1.06047,
        1.0584,
        1.054,
        1.05062,
        1.04586,
        1.0402,
        1.03613,
        1.03649,
        1.03202,
        1.02845,
        1.0244,
        1.02147,
        1.02373,
        1.0201,
        1.02039,
        1.01961,
        1.01319,
        1.00802,
        1.00894,
        1.00885,
        1.01443,
        1.01712,
        1.01544,
        1.01424,
        1.01282,
        1.01221,
        1.01414,
        1.01128,
        1.00803,
        1.00697,
        1.00723,
        1.00727,
        1.00688,
        1.0055,
        1.00268,
        1.00613,
        1.00454,
        1.00324,
        1.00439,
        0.99936,
        0.992943,
        0.987379,
        0.991374,
        0.99547,
        0.984151,
        0.973555,
        0.985062,
        0.981631,
        0.959166,
        0.99629,
        1.00703,
        0.986865,
        0.979434,
        0.967384,
        0.963953,
        0.984312,
        0.992864,
        0.995364,
        0.988106,
        0.990199,
        0.995637,
        0.998598,
        1.0037,
        1.00098,
        0.995583,
        0.997447,
        0.993567,
        0.994351,
        0.996015,
        0.993103,
        0.994645,
        0.997846,
        0.996257,
        0.998439,
        0.994815,
        0.996259,
        0.992609,
        0.989517,
        0.99293,
        0.996688,
        0.986416,
        0.981103,
        0.987508,
        0.983364,
        0.982109,
        0.982632,
        0.981129,
        0.981287,
        0.994214,
        0.996952,
        0.988794,
        0.987987,
        0.988169,
        0.994073,
        0.994613,
        0.985028,
        0.98868,
        0.989943,
        0.984309,
        0.982974,
        0.986636,
        0.991315,
        0.993996,
        0.995129,
        0.986483,
        0.986427,
        0.987695,
        0.984495,
        0.98825,
        0.992692,
        0.993629,
        0.988475,
        0.989493,
        0.990534,
        0.994934,
        0.997303,
        0.990313,
        0.986789,
        0.990285,
        0.997869,
        0.994817,
        0.991568,
        0.982454,
        0.976707,
        0.966714,
        0.960935,
        0.995965,
        0.980718,
        1.01365,
        0.976091,
        0.97959,
        0.989307,
        0.985897,
        0.982867,
        0.984836,
        0.985507,
        0.984671,
        0.982359,
        0.983122,
        0.985016,
        0.986202,
        0.983566,
        0.985337,
        0.987449,
        0.989939,
        0.99196,
        0.992056,
        0.986203,
        0.982396,
        1.0073,
        1.02544,
        1.00998,
        0.99308,
        0.991725,
        0.997369,
        0.983687,
        0.974522,
        0.986914,
        0.986479,
        0.986131,
        0.980119,
        0.97956,
        0.983292,
        0.982537,
        0.976893,
        0.976012,
        0.978645,
        0.977397,
        0.975017,
        0.974698,
        0.976489,
        0.98071,
        0.979396,
        0.978394,
        0.966171,
        0.972303,
        0.983038,
        0.980721,
        0.975567,
        0.978076,
        0.980112,
        0.980061,
        0.981972,
        0.980012,
        0.978729,
        0.971796,
        0.971016,
        0.976718,
        0.984959,
        0.977779,
        0.975045,
        0.985072,
        0.983627,
        0.985139,
        0.985207,
        0.983047,
        0.981576,
        0.985143,
        0.986052,
        0.98927,
        0.988062,
        0.982482,
        0.991439,
        0.994853,
        0.991758,
        0.983934,
        0.984908,
        0.992377,
        0.99007,
        0.985787,
        0.983169,
        0.988576,
        0.987335,
        0.991286,
        0.988602,
        0.999732,
        0.99905,
        0.994337,
        1.00073,
        0.990222,
        0.984271,
        0.997883,
        0.999116,
        0.997051,
        1.00626,
        1.01095,
        0.998784,
        0.987738,
        0.9953,
        0.996471,
        0.983256,
        0.992526,
        0.995695,
        0.991069,
        1.00537,
        1.00883,
        1.01473,
        1.02246,
        1.02155,
        0.999908,
        0.965048,
        1.00709,
        1.02981,
        1.04535,
        1.01178,
        0.981607,
        0.998859,
        1.01405,
        1.01579,
        1.01661,
        1.01699,
        1.01851,
        1.03047,
        1.01646,
        0.980401,
        0.980326,
        1.0094,
        1.00087,
        1.01561,
        1.01541,
        0.99571,
        0.988095,
        0.999289,
        1.00458,
        0.997334,
        1.00793,
        1.01558,
        1.0123,
        1.01141,
        1.00942,
        0.998657,
        0.996918,
        0.996398,
        0.990778,
        0.988335,
        0.999405,
        1.00155,
        1.00688,
        1.01326,
        1.01545,
        1.01438,
        1.00832,
        0.994748,
        0.985561,
        0.994575,
        1.00497,
        1.00199,
        1.0024,
        1.00468,
        0.998362,
        0.988012,
        0.989262,
        0.997048,
        0.985186,
        0.965069,
        0.985911,
        1.00844,
        1.00887,
        1.00664,
        1.00281,
        1.0099,
        1.00239,
        0.987617,
        0.996527,
        1.00021,
        0.991073,
        0.999111,
        1.00929,
        0.979153,
        0.967653,
        0.981817,
        1.01286,
        1.01545,
        1.01714,
        1.01574,
        1.01182,
        1.01482,
        1.01422,
        1.01235,
        1.03068,
        1.0418,
        1.03421,
        1.03804,
        1.02882,
        1.02597,
        1.03828,
        1.02771,
        1.02037,
        1.03284,
        1.04683,
        1.04754,
        1.04444,
        1.04308,
        1.04526,
        1.05313,
        1.03324,
        1.05066,
        1.05481,
        1.06198,
        1.05783,
        1.06,
        1.0587,
        1.04323,
        1.04172,
        1.06965,
        1.07245,
        1.0635,
        1.07045,
        1.08046,
        1.08337,
        1.08226,
        1.08162,
        1.08293,
        1.08934,
        1.10704,
        1.1184,
        1.12241,
        1.12728,
        1.14411,
        1.1612,
        1.18073,
        1.16856,
        1.1667,
        1.20154,
        1.23643,
        1.26399,
        1.25605,
        1.32236,
        1.33595,
        1.32923,
        1.32297,
        1.33064,
        1.32753,
        1.31554,
        1.33611,
        1.34478,
        1.33722,
        1.33457,
        1.35305,
        1.34822,
        1.3581,
        1.36571,
        1.35405,
        1.34012,
        1.33527,
        1.32153,
        1.30056,
        1.30905,
        1.15837,
        1.17608,
        1.17721,
        1.1776,
        1.1424,
        1.14069,
        1.14539,
        1.13637,
        1.14454,
        1.13408,
        1.10569,
        1.09231,
        1.10172,
        1.11365,
        1.08605,
        1.06616,
        1.08692,
        1.09122,
        1.07759,
        1.07361,
        1.06156,
        1.05366,
        1.06482,
        1.07463,
        1.06997,
        1.06531,
        1.06352,
        1.06574,
        1.055,
        1.03635,
        1.02845,
        1.02666,
        1.00272,
        1.00116,
        1.02268,
        1.02798,
        1.01683,
        1.02514,
        1.03374,
        0.982995,
        0.950868,
        0.9965,
        1.01515,
        1.02264,
        1.0238,
        1.01741,
        1.01104,
        1.01272,
        1.02092,
        1.02005,
        1.01165,
        1.01308,
        1.0177,
        1.01735,
        1.00425,
        0.991505,
        1.01112,
        1.0045,
        1.00659,
        1.00545,
        1.00281,
        1.00068,
        0.997746,
        0.991351,
        0.982902,
        0.984096,
        0.993347,
        0.958102,
        0.967662,
        0.977946,
        0.970608,
        0.967759,
        0.975516,
        0.984707,
        0.99114,
        0.993565,
        0.991455,
        0.986068,
        0.977618,
        0.972094,
        0.995124,
        0.97638,
        0.959891,
        0.98132,
        0.983728,
        0.987235,
        0.977429,
        0.978204,
        0.993442,
        0.995212,
        0.977967,
        0.965364,
        0.965783,
        0.97901,
        0.987206,
        0.989338,
        0.995953,
        0.982912,
        0.96859,
        0.97761,
        0.979906,
        0.980405,
        0.981685,
        0.974566,
        0.975482,
        0.976256,
        0.979692,
        0.981186,
        0.980445,
        0.978767,
        0.97594,
        0.976918,
        0.984718,
        0.984433,
        0.977732,
        0.977694,
        0.982428,
        0.985316,
        0.977678,
        0.980182,
        0.977196,
        0.980253,
        0.977717,
        0.976314,
        0.978877,
        0.980733,
        0.977767,
        0.979977,
        0.976212,
        0.970464,
        0.976761,
        0.97669,
        0.979554,
        0.976602,
        0.969955,
        0.974877,
        0.975135,
        0.97609,
        0.97823,
        0.975248,
        0.969593,
        0.964733,
        0.966662,
        0.960406,
        0.966592,
        0.977515,
        0.977893,
        0.977186,
        0.972474,
        0.971758,
        0.975823,
        0.969788,
        0.963741,
        0.970143,
        0.974946,
        0.97584,
        0.979878,
        0.976831,
        0.971329,
        0.972028,
        0.97197,
        0.971303,
        0.974008,
        0.971077,
        0.975389,
        0.982785,
        0.980926,
        0.976739,
        0.975521,
        0.974514,
        0.975831,
        0.973272,
        0.970423,
        0.964779,
        0.967991,
        0.968517,
        0.960736,
        0.964053,
        0.962119,
        0.959937,
        0.96319,
        0.963443,
        0.963277,
        0.970841,
        0.972839,
        0.965537,
        0.981531,
        0.977862,
        0.976408,
        0.976448,
        0.977897,
        0.980195,
        0.976074,
        0.977087,
        0.981515,
        0.982117,
        0.984257,
        0.99115,
        0.991759,
        0.99045,
        0.991787,
        0.990994,
        0.992781,
        0.999061,
        0.995071,
        0.995581,
        0.988978,
        0.991282,
        0.992822,
        0.995284,
        0.996086,
        0.995094,
        0.991021,
        0.989972,
        0.994438,
        0.995815,
        0.988437,
        0.982422,
        0.98227,
        0.984018,
        0.990197,
        0.982918,
        0.990405,
        0.988305,
        0.985057,
        0.9756,
        0.970828,
        0.973119,
        0.971168,
        0.98469,
        0.99047,
        0.990094,
        0.988411,
        0.992414,
        0.991334,
        0.989632,
        0.986871,
        0.984739,
        0.986156,
        0.989321,
        0.989418,
        0.990122,
        0.994177,
        0.995903,
        0.992288,
        0.988775,
        0.98643,
        0.984498,
        0.983136,
        0.987551,
        0.986116,
        0.983752,
        0.9832,
        0.983074,
        0.987776,
        0.987976,
        0.981819,
        0.978782,
        0.983685,
        0.980712,
        0.987543,
        0.976377,
        0.979762,
        0.984063,
        0.984667,
        0.98178,
        0.97363,
        0.977197,
        0.982977,
        0.981824,
        0.980808,
        0.983597,
        0.980459,
        0.978286,
        0.977926,
        0.974603,
        0.965343,
        0.970588,
        0.973795,
        0.975538,
        0.973824,
        0.974527,
        0.982452,
        0.98021,
        0.97801,
        0.977875,
        0.980026,
        0.980798,
        0.980392,
        0.977094,
        0.981414,
        0.978959,
        0.980526,
        0.977003,
        0.982838,
        0.985479,
        0.981842,
        0.978239,
        0.981001,
        0.98037,
        0.982509,
        0.984463,
        0.988527,
        0.987608,
        0.987036,
        0.988532,
        0.983607,
        0.985943,
        0.98574,
        0.983704,
        0.982714,
        0.98776,
        0.991512,
        0.984247,
        0.974481,
        0.969317,
        0.983911,
        0.991379,
        0.983344,
        0.981802,
        0.986218,
        0.990085,
        0.992537,
        0.986618,
        0.985782,
        0.985149,
        0.986763,
        0.990992,
        0.989448,
        0.991526,
        0.990157,
        0.99695,
        0.99873,
        0.997621,
        0.993699,
        0.99962,
        1.00001,
        1.00177,
        1.001,
        1.0062,
        1.01037,
        1.00718,
        1.01068,
        1.00527,
        1.01145,
        1.01498,
        1.01857,
        1.01196,
        1.01243,
        1.01475,
        1.0204,
        1.03154,
        1.03973,
        1.03791,
        1.03455,
        1.03823,
        1.03842,
        1.04023,
        1.04465,
        1.04411,
        1.05238,
        1.06121,
        1.06234,
        1.06603,
        1.06845,
        1.06725,
        1.06479,
        1.06626,
        1.0717,
        1.07401,
        1.07484,
        1.07549,
        1.06808,
        1.06274,
        1.07805,
        1.07675,
        1.08541,
        1.0918,
        1.08224,
        1.0886,
        1.09655,
        1.10217,
        1.10584,
        1.10432,
        1.11103,
        1.10943,
        1.11488,
        1.11706,
        1.11366,
        1.11642,
        1.1291,
        1.13607,
        1.14601,
        1.16234,
        1.173,
        1.19471,
        1.21152,
        1.22629,
        1.24387,
        1.2638,
        1.27995,
        1.2932,
        1.31913,
        1.34307,
        1.35978,
        1.37432,
        1.39203,
        1.40131,
        1.40932,
        1.41487,
        1.42317,
        1.42858,
        1.43645,
        1.4336,
        1.43018,
        1.42228,
        1.41401,
        1.40705,
        1.39595,
        1.39699,
        1.38224,
        1.36643,
        1.35086,
        1.34767,
        1.34836,
        1.35458,
        1.3575,
        1.36583,
        1.37571,
        1.38591,
        1.39302,
        1.38997,
        1.39093,
        1.38406,
        1.39079,
        1.38665,
        1.37006,
        1.34826,
        1.3447,
        1.34115,
        1.33092,
        1.2039,
        1.19016,
        1.18041,
        1.18316,
        1.18211,
        1.16586,
        1.16067,
        1.15589,
        1.15149,
        1.14284,
        1.13789,
        1.13462,
        1.12675,
        1.11863,
        1.11011,
        1.10104,
        1.10206,
        1.09146,
        1.08548,
        1.08496,
        1.08165,
        1.07153,
        1.05461,
        1.06084,
        1.06245,
        1.05874,
        1.06209,
        1.05237,
        1.04772,
        1.04243,
        1.04134,
        1.0355,
        1.02783,
        1.03285,
        1.03242,
        1.02804,
        1.02918,
        1.03475,
        1.03243,
        1.02388,
        1.02319,
        1.01459,
        1.01131,
        1.00182,
        1.00461,
        1.01798,
        1.02609,
        1.02936,
        1.02714,
        1.01122,
        1.02503,
        1.00613,
        0.96989,
        0.989824,
        0.986349,
        1.00345,
        1.00795,
        0.994412,
        0.992538,
        1.00385,
        0.98005,
        0.99079,
        0.988577,
        0.991945,
        1.0011,
        0.987895,
        0.982232,
        0.98294,
        0.978263,
        0.989737,
        1.00114,
        0.995523,
        0.996936,
        0.997385,
        0.993159,
        1.00072,
        0.996367,
        0.984411,
        0.991495,
        1.00634,
        1.00979,
        1.00641,
        1.00317,
        0.999192,
        0.994315,
        0.992673,
        0.989038,
        1.00237,
        1.0067,
        0.986926,
        0.984712,
        0.984101,
        0.999517,
        0.989578,
        0.948794,
        0.972333,
        0.990482,
        1.0066,
        0.987726,
        0.992829,
        0.99538,
        0.990021,
        0.997031,
        1.00173,
        0.998931,
        0.993663,
        0.991668,
        0.990646,
        1.00778,
        1.00796,
        0.992666,
        0.997973,
        1.00664,
        1.01023,
        0.997927,
        0.998087,
        1.00224,
        1.00249,
        0.999783,
        1.002,
        0.990903,
        0.983558,
        0.97983,
        0.981565,
        0.987377,
        0.991498,
        0.991434,
        0.990848,
        0.994011,
        0.994368,
        0.998912,
        0.99481,
        0.991567,
        0.992855,
        0.995916,
        0.992521,
        0.998516,
        0.995297,
        0.995758,
        0.991956,
        0.987977,
        0.992046,
        0.995559,
        0.990487,
        0.989729,
        0.989974,
        0.993299,
        0.984305,
        0.981864,
        0.987856,
        0.991588,
        0.987587,
        0.984397,
        0.985167,
        0.988281,
        0.991745,
        0.988996,
        0.981718,
        0.977083,
        0.979053,
        0.981233,
        0.98286,
        0.977747,
        0.978999,
        0.991688,
        0.987722,
        0.987275,
        0.992984,
        0.994853,
        0.989511,
        0.989615,
        0.986154,
        0.989855,
        0.990154,
        0.988275,
        0.986184,
        0.981119,
        0.985,
        0.989788,
        0.988859,
        0.991415,
        0.981186,
        0.977388,
        0.98253,
        0.987694,
        0.985874,
        0.984601,
        0.98173,
        0.984797,
        0.990592,
        0.99188,
        0.990039,
        0.995466,
        0.990986,
        0.99022,
        0.994049,
        0.995909,
        0.995838,
        0.992572,
        0.993749,
        0.992519,
        0.992589,
        0.999225,
        0.998943,
        0.993283,
        0.989879,
        0.992133,
        0.989984,
        0.98549,
        0.989807,
        0.992954,
        0.985239,
        0.981647,
        0.981782,
        0.989743,
        0.986463,
        0.98994,
        0.991587,
        0.989284,
        0.992802,
        0.996479,
        0.991477,
        0.99333,
        0.988252,
        0.991738,
        0.98949,
        0.989848,
        0.98605,
        0.985192,
        0.988497,
        0.987263,
        0.990983,
        0.990959,
        0.992195,
        0.989063,
        0.989238,
        0.987402,
        0.990979,
        0.989925,
        0.990454,
        0.988928,
        0.993563,
        0.995963,
        0.992384,
        0.991887,
        0.994138,
        0.995667,
        0.999058,
        0.999447,
        0.998323,
        0.994084,
        0.996114,
        0.998499,
        1.00228,
        1.0078,
        0.997417,
        1.01024,
        1.00492,
        0.993551,
        0.992015,
        0.997523,
        0.999801,
        0.994507,
        0.991084,
        0.994943,
        0.997022,
        1.00534,
        1.00321,
        0.993009,
        0.992736,
        0.991914,
        0.99031,
        0.991072,
        0.9879,
        0.989951,
        0.994155,
        0.990445,
        0.986878,
        0.987454,
        0.992184,
        0.993482,
        0.997281,
        0.994573,
        0.990177,
        0.992695,
        0.998142,
        0.989417,
        0.99225,
        0.991526,
        0.989235,
        0.991263,
        0.990361,
        0.991189,
        0.99398,
        0.997302,
        0.996769,
        1.00233,
        0.999951,
        0.996504,
        1.00084,
        1.001,
        1.00189,
        0.999508,
        1.00123,
        1.00049,
        1.00035,
        1.0031,
        1.00026,
        1.00037,
        1.00339,
        1.00919,
        1.00929,
        1.00557,
        1.00745,
        1.01236,
        1.01921,
        1.02187,
        1.02418,
        1.0292,
        1.03487,
        1.03238,
        1.03367,
        1.03423,
        1.0373,
        1.04066,
        1.04446,
        1.04789,
        1.05049,
        1.05098,
        1.05447,
        1.05674,
        1.05792,
        1.05569,
        1.05777,
        1.06222,
        1.06144,
        1.06667,
        1.07303,
        1.07387,
        1.07351,
        1.07224,
        1.07293,
        1.07427,
        1.08,
        1.07957,
        1.07348,
        1.07689,
        1.08615,
        1.09047,
        1.09065,
        1.10225,
        1.1044,
        1.10837,
        1.11801,
        1.12339,
        1.12829,
        1.12865,
        1.13532,
        1.14931,
        1.15683,
        1.1655,
        1.17636,
        1.20119,
        1.2157,
        1.23019,
        1.24144,
        1.25898,
        1.2753,
        1.29958,
        1.31937,
        1.33622,
        1.35255,
        1.36806,
        1.38384,
        1.39806,
        1.4027,
        1.41165,
        1.42669,
        1.42761,
        1.43213,
        1.43653,
        1.43477,
        1.42695,
        1.41177,
        1.39936,
        1.39614,
        1.38668,
        1.36836,
        1.3633,
        1.35333,
        1.34736,
        1.3476,
        1.34966,
        1.35369,
        1.3625,
        1.36862,
        1.37571,
        1.38867,
        1.39721,
        1.39815,
        1.39791,
        1.38783,
        1.38241,
        1.37339,
        1.34945,
        1.33307,
        1.33579,
        1.33833,
        1.31853,
        1.19935,
        1.177,
        1.18217,
        1.18992,
        1.1789,
        1.17294,
        1.16329,
        1.15604,
        1.15025,
        1.14094,
        1.13078,
        1.11796,
        1.11416,
        1.1064,
        1.09903,
        1.09194,
        1.08918,
        1.08087,
        1.0739,
        1.07523,
        1.06649,
        1.05854,
        1.05616,
        1.04742,
        1.04678,
        1.04705,
        1.03589,
        1.03274,
        1.03228,
        1.02632,
        1.02061,
        1.0222,
        1.0181,
        1.01722,
        1.01377,
        1.01416,
        1.01479,
        1.00816,
        1.00336,
        1.00009,
        0.998526,
        1.0025,
        1.00276,
        1.00041,
        0.998988,
        0.993207,
        0.992071,
        0.992783,
        0.992815,
        0.994795,
        0.991781,
        0.991548,
        0.98853,
        0.988417,
        0.992199,
        0.994067,
        0.994507,
        0.98774,
        0.982911,
        0.981192,
        0.987705,
        0.990322,
        0.99665,
        0.994359,
        0.991871,
        0.988959,
        0.991362,
        0.992279,
        0.992211,
        0.988077,
        0.985839,
        0.982994,
        0.986212,
        0.993588,
        0.990386,
        0.991883,
        0.991515,
        0.987499,
        0.984739,
        0.99161,
        0.989621,
        0.984511,
        0.984643,
        0.983631,
        0.986547,
        0.990422,
        0.993959,
        0.994182,
        0.995197,
        0.992853,
        0.996297,
        0.991497,
        0.988029,
        0.98035,
        0.947721,
        0.897873,
        0.884488,
        0.921203,
        0.960635,
        0.977417,
        0.981702,
        0.981548,
        0.980106,
        0.980784,
        0.979018,
        0.974903,
        0.980121,
        0.987794,
        0.985343,
        0.981359,
        0.983773,
        0.988504,
        0.990783,
        0.990157,
        0.983221,
        0.983662,
        0.985852,
        0.978261,
        0.985601,
        0.981707,
        0.976136,
        0.982183,
        0.985407,
        0.987844,
        0.984124,
        0.985471,
        0.988269,
        0.985059,
        0.979737,
        0.983494,
        0.980525,
        0.971358,
        0.966517,
        0.982838,
        0.993326,
        0.985539,
        0.98591,
        0.979037,
        0.983215,
        0.99051,
        0.974372,
        0.978377,
        0.971975,
        0.971576,
        0.982576,
        0.985278,
        0.985251,
        0.980906,
        0.984352,
        0.978316,
        0.977976,
        0.979757,
        0.982631,
        0.98248,
        0.981447,
        0.983138,
        0.98182,
        0.983685,
        0.977788,
        0.977304,
        0.978907,
        0.986795,
        0.986961,
        0.99464,
        0.990773,
        0.987967,
        0.988593,
        0.993976,
        0.996037,
        0.990629,
        0.980335,
        0.986642,
        0.995084,
        0.993459,
        0.988451,
        0.982245,
        0.986268,
        1.00027,
        1.00127,
        1.00242,
        0.992915,
        0.989283,
        0.988969,
        0.991206,
        0.990813,
        0.987361,
        0.993179,
        0.987533,
        0.984697,
        0.986691,
        0.990937,
        0.990153,
        0.986915,
        0.990716,
        0.985488,
        0.994499,
        0.99964,
        0.990353,
        0.993117,
        0.989671,
        0.993518,
        1.01004,
        1.00827,
        1.00352,
        1.00269,
        0.989065,
        0.974965,
        0.98711,
        0.990997,
        1.00508,
        1.00561,
        0.995495,
        0.993128,
        0.994397,
        0.994663,
        0.998656,
        0.992949,
        0.998833,
        0.992321,
        0.99718,
        1.00334,
        1.00488,
        1.00721,
        1.00796,
        1.00962,
        1.01194,
        1.00845,
        1.00237,
        1.00519,
        0.996814,
        0.997355,
        1.0034,
        1.0095,
        0.990114,
        0.994491,
        1.01095,
        1.00729,
        1.00345,
        1.00383,
        1.00473,
        1.00421,
        1.00544,
        1.00491,
        1.00959,
        1.01282,
        1.0123,
        1.01089,
        1.01381,
        1.01129,
        1.01035,
        1.0084,
        1.00843,
        1.01073,
        1.00644,
        1.00867,
        1.01043,
        1.00978,
        1.0095,
        1.00386,
        1.0017,
        1.00597,
        1.00398,
        1.00556,
        1.00172,
        0.998031,
        1.0007,
        1.00034,
        0.99937,
        1.00124,
        1.00473,
        1.00585,
        1.00476,
        1.00487,
        1.00552,
        1.00818,
        1.00924,
        1.00565,
        0.997157,
        0.992901,
        0.993559,
        0.99521,
        0.995897,
        0.996207,
        0.998291,
        0.999499,
        0.999455,
        0.995274,
        0.992308,
        0.991846,
        0.994016,
        0.99994,
        1.00117,
        1.00292,
        1.00214,
        0.980377,
        0.967558,
        0.977432,
        0.990511,
        0.998103,
        1.00517,
        1.01287,
        1.0113,
        1.00171,
        1.00185,
        1.00421,
        0.980192,
        0.968314,
        0.995449,
        0.989082,
        0.9884,
        1.00453,
        0.997738,
        0.991384,
        0.981444,
        0.986273,
        0.979798,
        0.97766,
        0.970273,
        0.990126,
        0.989335,
        0.982476,
        0.994005,
        0.998495,
        0.996755,
        0.987279,
        0.995863,
        1.00632,
        0.98942,
        0.963476,
        0.963068,
        1.0082,
        0.998125,
        1.0028,
        0.992684,
        0.996412,
        0.991377,
        1.00356,
        1.00524,
        1.00422,
        1.00515,
        1.00298,
        0.996179,
        0.995788,
        1.00289,
        0.991175,
        0.977648,
        0.991548,
        1.00215,
        1.00764,
        0.993959,
        0.999943,
        1.01136,
        1.00879,
        1.01389,
        1.01199,
        1.01224,
        1.02684,
        1.01662,
        1.01588,
        1.02688,
        1.02191,
        1.01001,
        1.02077,
        1.03159,
        1.03455,
        1.05174,
        1.04192,
        1.02087,
        1.03658,
        1.06046,
        1.0567,
        1.0497,
        1.05835,
        1.06604,
        1.06789,
        1.06497,
        1.05565,
        1.06242,
        1.05565,
        1.02348,
        1.04859,
        1.05344,
        1.04177,
        1.08788,
        1.05819,
        1.06493,
        1.07452,
        1.08409,
        1.09036,
        1.09583,
        1.0923,
        1.09692,
        1.09347,
        1.0869,
        1.09788,
        1.11063,
        1.14709,
        1.14981,
        1.16219,
        1.17949,
        1.20699,
        1.22918,
        1.2384,
        1.25313,
        1.27219,
        1.28806,
        1.28194,
        1.33901,
        1.36483,
        1.39722,
        1.40329,
        1.41773,
        1.42215,
        1.44558,
        1.43189,
        1.26897,
        1.20014,
        1.39854,
        1.42982,
        1.4148,
        1.46456,
        1.46772,
        1.4855,
        1.477,
        1.50381,
        1.42432,
        1.39084,
        1.39238,
        1.39256,
        1.36312,
        1.17201,
        1.15876,
        1.16328,
        1.14979,
        1.15382,
        1.13974,
        1.13412,
        1.11626,
        1.09384,
        1.09989,
        1.11614,
        1.12179,
        1.10131,
        1.08395,
        1.06762,
        1.06199,
        1.07058,
        1.07412,
        1.05382,
        1.01361,
        0.999522,
        0.991267,
        0.927216,
        0.81784,
        0.800173,
        0.91221,
        0.996285,
        1.01359,
        1.0316,
        1.03299,
        1.00857,
        1.02163,
        1.01566,
        1.02558,
        1.01087,
        1.01602,
        1.02434,
        1.01616,
        1.01795,
        1.0152,
        1.00679,
        0.997141,
        0.983917,
        0.973878,
        0.980733,
        0.987923,
        0.985272,
        0.990199,
        1.00446,
        1.0071,
        0.997293,
        0.998205,
        1.00446,
        0.999622,
        1.0008,
        0.992398,
        0.998233,
        1.00288,
        1.00619,
        0.983556,
        0.985599,
        0.985702,
        0.997435,
        0.981811,
        0.974517,
        0.998769,
        1.00941,
        0.99443,
        0.980295,
        0.996229,
        0.999571,
        0.997897,
        0.988152,
        0.998062,
        0.987793,
        0.975665,
        0.990406,
        0.99822,
        0.99013,
        0.989642,
        0.998725,
        1.00156,
        0.996553,
        0.993296,
        0.990318,
        0.993937,
        1.0062,
        1.00883,
        0.987093,
        0.989413,
        0.95529,
        0.98449,
        1.00347,
        0.977223,
        1.00222,
        0.992422,
        0.976514,
        1.00067,
        1.02069,
        1.02815,
        1.01295,
        1.02722,
        1.01325,
        0.999404,
        0.973975,
        1.01249,
        0.999319,
        0.992429,
        1.01148,
        1.0003,
        1.00557,
        0.986737,
        1.00877,
        1.00905,
        1.00855,
        1.01042,
        1.00413,
        0.987307,
        1.00345,
        0.994132,
        0.977292,
        1.01469,
        0.988325,
        0.997436,
        1.01214,
        1.00739,
        1.005,
        1.00551,
        0.993536,
        0.971656,
        0.986757,
        1.00787,
        1.01031,
        0.999919,
        0.996507,
        0.990956,
        0.987313,
        0.989132,
        0.991598,
        0.996643,
        0.999159,
        1.00567,
        1.00089,
        1.00047,
        0.98958,
        1.00225,
        1.00721,
        1.0046,
        1.00437,
        1.01273,
        1.01532,
        1.01361,
        1.01898,
        1.01965,
        1.01178,
        1.00493,
        1.01546,
        1.01575,
        1.01524,
        1.01262,
        1.01094,
        1.01,
        1.01081,
        1.00193,
        1.00823,
        1.01667,
        1.01626,
        1.02114,
        1.01811,
        1.01146,
        1.02053,
        1.02034,
        1.02048,
        1.01722,
        1.00751,
        1.01331,
        1.01461,
        1.01393,
        1.01575,
        1.01834,
        1.01378,
        1.01013,
        1.00678,
        1.00546,
        1.00968,
        0.99485,
        0.996868,
        1.00259,
        1.01013,
        1.0134,
        1.01018,
        1.01616,
        1.01719,
        1.01219,
        1.01419,
        1.01527,
        1.01857,
        1.0174,
        1.01183,
        1.00737,
        1.01177,
        1.01823,
        1.01369,
        1.01017,
        1.01748,
        1.02658,
        1.01617,
        1.00062,
        1.01003,
        1.01106,
        1.00642,
        0.997735,
        1.00824,
        1.02363,
        1.02131,
        1.01872,
        1.01963,
        1.01818,
        1.01843,
        1.02102,
        1.01833,
        1.02055,
        1.01209,
        1.00816,
        1.01192,
        1.01236,
        1.00915,
        1.01155,
        1.01168,
        1.00809,
        1.00106,
        0.9967,
        0.998397,
        1.00076,
        1.00464,
        1.00233,
        1.00071,
        1.00131,
        0.998194,
        0.997,
        1.00162,
        1.00394,
        0.998395,
        0.99586,
        0.997837,
        0.99965,
        0.998155,
        0.997967,
        0.992286,
        0.994159,
        0.989536,
        0.983128,
        0.986089,
        0.98586,
        0.987811,
        0.989304,
        0.989396,
        0.988007,
        0.985262,
        0.985117,
        0.987457,
        0.984611,
        0.981824,
        0.980974,
        0.987184,
        0.972602,
        0.965325,
        0.976686,
        0.986767,
        0.984812,
        0.989916,
        0.982731,
        0.981904,
        0.983556,
        0.989176,
        0.985831,
        0.980177,
        0.979221,
        0.98034,
        0.986594,
        0.984744,
        0.989015,
        0.981265,
        0.979128,
        0.978261,
        0.978629,
        0.980038,
        0.982695,
        0.986309,
        0.988904,
        0.984042,
        0.985497,
        0.984493,
        0.987401,
        0.980661,
        0.974917,
        0.978518,
        0.982314,
        0.983486,
        0.981259,
        0.979576,
        0.982694,
        0.984542,
        0.980245,
        0.981102,
        0.981828,
        0.987041,
        0.982012,
        0.984143,
        0.979871,
        0.966843,
        0.965185,
        0.975378,
        0.981679,
        0.979206,
        0.979367,
        0.985773,
        0.979524,
        0.982427,
        0.980064,
        0.982032,
        0.989214,
        0.990296,
        0.989486,
        0.993186,
        0.990725,
        0.993211,
        0.986943,
        0.987621,
        0.989418,
        0.990506,
        0.986834,
        0.989124,
        0.996127,
        0.994638,
        0.982314,
        0.98752,
        1.00156,
        1.00747,
        1.00456,
        1.00931,
        1.01447,
        1.01466,
        1.01632,
        1.02161,
        1.02281,
        1.02476,
        1.02561,
        1.03414,
        1.03975,
        1.03723,
        1.03621,
        1.03978,
        1.05033,
        1.04616,
        1.04409,
        1.04577,
        1.04909,
        1.05189,
        1.0435,
        1.04574,
        1.0413,
        1.04568,
        1.05514,
        1.06007,
        1.05944,
        1.05863,
        1.06778,
        1.07535,
        1.07405,
        1.06658,
        1.06627,
        1.07563,
        1.07479,
        1.07714,
        1.0821,
        1.08209,
        1.09381,
        1.09681,
        1.09811,
        1.10208,
        1.11192,
        1.11694,
        1.11317,
        1.12491,
        1.13454,
        1.14036,
        1.15145,
        1.16511,
        1.1872,
        1.19989,
        1.20001,
        1.22386,
        1.26016,
        1.28713,
        1.30025,
        1.31969,
        1.34629,
        1.36488,
        1.38311,
        1.40479,
        1.4202,
        1.43462,
        1.44247,
        1.4505,
        1.45983,
        1.46615,
        1.47786,
        1.48655,
        1.46728,
        1.36806,
        1.1633,
        1.05397,
        1.19111,
        1.34185,
        1.3913,
        1.38694,
        1.38515,
        1.38595,
        1.38326,
        1.38148,
        1.37024,
        1.37123,
        1.41608,
        1.42403,
        1.41973,
        1.43138,
        1.43305,
        1.4154,
        1.39982,
        1.39916,
        1.41621,
        1.41002,
        1.38988,
        1.39437,
        1.37459,
        1.35461,
        1.22269,
        1.18595,
        1.20876,
        1.20818,
        1.19849,
        1.20099,
        1.1906,
        1.18002,
        1.17541,
        1.1681,
        1.1631,
        1.1515,
        1.14049,
        1.12492,
        1.09898,
        1.10221,
        1.1036,
        1.0952,
        1.08494,
        1.08401,
        1.07881,
        1.08034,
        1.07105,
        1.06543,
        1.06398,
        1.06532,
        1.05309,
        1.034,
        1.03428,
        1.03037,
        1.03451,
        1.03473,
        1.01873,
        1.00775,
        1.01571,
        1.0198,
        1.0142,
        1.0077,
        1.00702,
        1.01169,
        1.01557,
        0.992715,
        1.00558,
        1.00884,
        1.00161,
        0.998405,
        0.999881,
        0.98674,
        0.994679,
        0.997277,
        0.990811,
        0.997988,
        1.00323,
        0.998249,
        1.0025,
        1.00233,
        0.991718,
        0.99227,
        1.00094,
        0.998889,
        0.999596,
        1.0023,
        0.99745,
        0.998584,
        1.00948,
        1.0015,
        0.993529,
        0.991566,
        0.989554,
        0.983229,
        0.994808,
        1.00006,
        0.981526,
        0.987087,
        1.0001,
        0.9994,
        0.991064,
        0.983722,
        0.983273,
        0.973692,
        0.989753,
        0.998925,
        0.983066,
        0.983982,
        0.983138,
        0.976861,
        0.975347,
        0.975771,
        0.973763,
        0.971729,
        0.98459,
        0.981108,
        0.981208,
        0.983754,
        0.983548,
        0.978761,
        0.98201,
        0.987101,
        0.984614,
        0.988936,
        0.991855,
        0.98222,
        0.986002,
        0.986792,
        0.983094,
        0.978985,
        0.970374,
        0.978656,
        0.99388,
        0.985157,
        0.984653,
        0.996978,
        0.996062,
        0.990759,
        0.991995,
        0.994449,
        0.999807,
        0.990263,
        0.996635,
        1.01048,
        1.0028,
        0.992351,
        1.00218,
        1.00967,
        1.01543,
        1.01679,
        1.01201,
        1.00625,
        1.00906,
        1.00602,
        1.00769,
        1.00663,
        0.999292,
        0.993345,
        0.999422,
        1.00416,
        1.00763,
        1.00782,
        1.00352,
        1.00556,
        0.995904,
        0.984922,
        1.00917,
        1.01109,
        1.00786,
        1.00332,
        1.00531,
        1.00011,
        1.00677,
        1.00387,
        0.999216,
        0.998672,
        1.00898,
        1.00467,
        1.00096,
        1.00626,
        1.01052,
        1.01265,
        1.01306,
        1.00974,
        1.00343,
        0.997898,
        0.999353,
        1.01204,
        1.01361,
        1.01558,
        1.0146,
        1.01053,
        1.01958,
        1.01606,
        1.01864,
        1.01428,
        1.01526,
        1.01532,
        0.978242,
        0.877732,
        0.876671,
        1.02011,
        0.915237,
        1.0074,
        1.00506,
        1.00554,
        1.01052,
        1.0138,
        1.01445,
        1.01942,
        1.0198,
        1.01639,
        1.01533,
        1.01636,
        1.01706,
        1.01093,
        1.02593,
        1.00718,
        1.01476,
        1.02408,
        1.02333,
        1.01879,
        1.02703,
        1.02739,
        1.02893,
        1.02502,
        1.02536,
        1.01602,
        1.01129,
        1.01166,
        1.0141,
        1.01352,
        1.01394,
        1.02129,
        1.02058,
        1.00919,
        1.00233,
        1.02191,
        1.01637,
        1.01796,
        1.01571,
        1.00544,
        1.008,
        1.00676,
        1.01009,
        1.00257,
        1.0084,
        1.0056,
        1.00834,
        1.00335,
        1.00867,
        1.00114,
        1.00385,
        1.00497,
        1.00408,
        1.00803,
        0.998498,
        0.994846,
        1.00043,
        0.994983,
        0.990774,
        0.996975,
        0.991728,
        0.988412,
        0.984861,
        0.982247,
        0.988157,
        0.991848,
        0.99346,
        0.982249,
        0.974817,
        0.986983,
        0.985877,
        0.988509,
        0.995575,
        0.978897,
        0.967254,
        0.984328,
        0.980589,
        0.986527,
        0.983769,
        0.97807,
        0.982436,
        0.981394,
        0.971192,
        0.97123,
        0.97186,
        0.987419,
        0.989104,
        0.980758,
        0.987925,
        0.98121,
        0.967697,
        0.971808,
        0.980176,
        0.983308,
        0.977817,
        0.972791,
        0.97296,
        0.974812,
        0.983627,
        0.983451,
        0.983238,
        0.985628,
        0.976941,
        0.97719,
        0.979272,
        0.979627,
        0.97873,
        0.980131,
        0.980334,
        0.981348,
        0.981061,
        0.979086,
        0.956696,
        0.956572,
        0.980074,
        0.992991,
        0.976047,
        0.958586,
        0.992275,
        0.988761,
        0.99405,
        0.971254,
        0.948394,
        0.951057,
        0.999431,
        0.969417,
        0.976697,
        0.98217,
        0.924541,
        0.945556,
        0.973926,
        0.973692,
        0.973539,
        0.960906,
        0.971587,
        0.988947,
        0.999038,
        0.997361,
        0.995969,
        0.98792,
        0.988154,
        0.996141,
        0.99515,
        0.992453,
        0.989022,
        0.991396,
        0.990918,
        0.982511,
        0.980168,
        0.985283,
        0.984481,
        0.99359,
        0.99096,
        0.993752,
        1.0014,
        0.995403,
        0.976834,
        0.988169,
        0.995715,
        0.993271,
        0.993671,
        0.99166,
        0.991914,
        1.00746,
        0.999882,
        1.00491,
        1.00331,
        1.00949,
        0.992664,
        0.998397,
        1.02277,
        1.02509,
        1.03251,
        1.02322,
        1.01682,
        1.02257,
        1.02662,
        1.02827,
        1.0251,
        1.00381,
        0.93271,
        0.817968,
        0.770727,
        0.881906,
        0.98111,
        1.00745,
        1.02365,
        1.04085,
        1.04663,
        1.054,
        1.05562,
        1.05547,
        1.05993,
        1.06026,
        1.05801,
        1.06946,
        1.07921,
        1.07346,
        1.0686,
        1.07075,
        1.07553,
        1.07177,
        1.06775,
        1.07592,
        1.08184,
        1.08823,
        1.09161,
        1.08943,
        1.08544,
        1.08889,
        1.08905,
        1.09468,
        1.08639,
        1.09908,
        1.10718,
        1.10811,
        1.10863,
        1.11904,
        1.12212,
        1.13578,
        1.13592,
        1.12142,
        1.11507,
        1.11389,
        1.15803,
        1.19279,
        1.22537,
        1.24373,
        1.26443,
        1.28825,
        1.30585,
        1.31909,
        1.32923,
        1.36599,
        1.38918,
        1.40301,
        1.42632,
        1.43504,
        1.45036,
        1.45997,
        1.46628,
        1.46989,
        1.48718,
        1.49596,
        1.49353,
        1.49045,
        1.48066,
        1.47235,
        1.44817,
        1.43766,
        1.44128,
        1.42545,
        1.40386,
        1.40044,
        1.39997,
        1.39297,
        1.40274,
        1.41369,
        1.42051,
        1.4286,
        1.43497,
        1.43772,
        1.44187,
        1.44537,
        1.44279,
        1.43947,
        1.4226,
        1.4165,
        1.43981,
        1.45111,
        1.3784,
        1.35192,
        1.23126,
        1.18059,
        1.17305,
        1.2351,
        1.21523,
        1.18276,
        1.17584,
        1.17879,
        1.16634,
        1.15583,
        1.14715,
        1.13486,
        1.12253,
        1.11996,
        1.11599,
        1.1072,
        1.10219,
        1.09636,
        1.08846,
        1.08659,
        1.07167,
        1.07315,
        1.07047,
        1.05965,
        1.05683,
        1.05118,
        1.04766,
        1.0461,
        1.03829,
        1.04066,
        1.02952,
        1.02512,
        1.02428,
        1.0228,
        1.01628,
        1.01613,
        1.01748,
        1.01478,
        1.0136,
        1.01055,
        1.0089,
        1.00597,
        1.00148,
        1.00081,
        1.00266,
        0.995701,
        0.978208,
        0.993147,
        1.00149,
        0.993955,
        0.997958,
        0.981788,
        0.972869,
        0.980284,
        0.996984,
        0.993934,
        0.987009,
        0.99052,
        0.986387,
        0.990523,
        0.989473,
        0.987254,
        0.987906,
        0.988685,
        0.986521,
        0.982973,
        0.98277,
        0.981241,
        0.985737,
        0.990978,
        0.980548,
        0.977673,
        0.986389,
        0.990625,
        0.990477,
        0.989462,
        0.995668,
        0.997112,
        0.98853,
        0.992656,
        0.988387,
        0.985914,
        0.985195,
        0.985322,
        0.985851,
        0.982999,
        0.979403,
        0.984976,
        0.9914,
        0.98783,
        0.98684,
        0.991928,
        0.992983,
        0.997982,
        0.999326,
        0.999579,
        0.997344,
        0.99648,
        1.00336,
        0.994516,
        0.990532,
        1.00066,
        1.00376,
        1.00055,
        0.998694,
        1.00572,
        1.00699,
        1.01011,
        1.00089,
        0.999146,
        1.00085,
        0.994753,
        1.00268,
        1.0084,
        1.00309,
        1.0031,
        0.995202,
        0.980673,
        1.00486,
        1.03176,
        1.01908,
        1.00215,
        1.00332,
        0.999442,
        1.00254,
        1.00288,
        1.00292,
        1.00718,
        1.00875,
        1.00816,
        0.997514,
        0.999725,
        1.01103,
        1.00328,
        1.01054,
        1.01202,
        1.00879,
        1.01195,
        1.00718,
        1.01737,
        1.01678,
        1.02703,
        1.02552,
        1.02514,
        1.02273,
        1.02328,
        1.02527,
        1.0189,
        1.02282,
        1.0243,
        1.02576,
        1.03801,
        1.04073,
        1.02997,
        1.01237,
        1.01391,
        1.01337,
        1.00837,
        1.02394,
        1.01486,
        1.00893,
        1.02187,
        1.02227,
        1.03069,
        1.02709,
        1.01604,
        1.02972,
        1.03823,
        1.02168,
        1.02297,
        1.00827,
        0.997907,
        0.99862,
        0.977955,
        0.995336,
        1.01732,
        1.07842,
        0.959931,
        1.01121,
        0.975266,
        0.944014,
        0.943911,
        0.960154,
        0.967519,
        0.948454,
        0.942215,
        0.980667,
        0.995377,
        0.989205,
        0.976327,
        0.982658,
        0.996948,
        0.988728,
        0.991552,
        0.982939,
        0.978196,
        0.991758,
        0.979974,
        0.969382,
        0.981035,
        0.976789,
        0.980321,
        0.974275,
        0.972666,
        null,
        1.01281,
        0.997829,
        0.982847,
        0.972813,
        0.97074,
        0.95797,
        0.959889,
        0.971592,
        0.955134,
        0.963632,
        0.96786,
        0.969826,
        0.960229,
        0.957628,
        0.963799,
        0.960434,
        0.955265,
        0.953791,
        0.945858,
        0.961267,
        0.964981,
        0.9564,
        0.944007,
        0.961455,
        0.962452,
        0.954216,
        0.950641,
        0.951731,
        0.962232,
        0.957263,
        0.958948,
        0.958633,
        0.958062,
        0.960416,
        0.958604,
        0.949331,
        0.951462,
        0.959034,
        0.96042,
        0.961023,
        0.962886,
        0.953739,
        0.952701,
        0.94878,
        0.947391,
        0.948842,
        0.960168,
        0.965282,
        0.965699,
        0.962327,
        0.959198,
        0.961567,
        0.964891,
        0.964572,
        0.97172,
        0.952972,
        0.949251,
        0.956682,
        0.951589,
        0.947687,
        0.961162,
        0.964604,
        0.962158,
        0.962142,
        0.963377,
        0.968656,
        0.973245,
        0.97519,
        0.968158,
        0.978236,
        0.973086,
        0.953949,
        0.967727,
        0.969156,
        0.966396,
        0.967367,
        0.963405,
        0.963301,
        0.976026,
        0.973109,
        0.968831,
        0.971821,
        0.961926,
        0.960268,
        0.971414,
        0.968218,
        0.961663,
        0.964288,
        0.963479,
        0.947571,
        0.928187,
        0.92197,
        0.938067,
        0.967365,
        0.969355,
        0.966477,
        0.9748,
        0.974023,
        0.965915,
        0.972906,
        0.962727,
        0.951653,
        0.972319,
        0.975086,
        0.964051,
        0.978123,
        0.98011,
        0.977239,
        0.988628,
        0.987661,
        0.984132,
        0.988662,
        0.994377,
        0.995209,
        0.996068,
        0.998652,
        0.996256,
        0.999139,
        1.01537,
        1.01113,
        1.00908,
        1.00722,
        1.01224,
        1.01827,
        1.02974,
        1.03562,
        1.03197,
        1.03014,
        1.03427,
        1.03633,
        1.03804,
        1.04006,
        1.03657,
        1.01925,
        1.05273,
        1.06391,
        1.04078,
        1.04213,
        1.0563,
        1.05527,
        1.05474,
        1.06427,
        1.06466,
        1.07508,
        1.06853,
        1.06551,
        1.07006,
        1.06883,
        1.07009,
        1.07316,
        1.07374,
        1.07538,
        1.07904,
        1.08326,
        1.09053,
        1.09713,
        1.09527,
        1.11129,
        1.10885,
        1.12645,
        1.13915,
        1.15401,
        1.1647,
        1.16525,
        1.18233,
        1.21602,
        1.23636,
        1.25155,
        1.28527,
        1.29842,
        1.32259,
        1.36403,
        1.40014,
        1.40427,
        1.40789,
        1.41068,
        1.42608,
        1.44781,
        1.45528,
        1.45963,
        1.48479,
        1.49323,
        1.45691,
        1.46633,
        1.4991,
        1.4633,
        1.45793,
        1.4475,
        1.444,
        1.42594,
        1.40005,
        1.39126,
        1.3902,
        1.38462,
        1.40092,
        1.40623,
        1.40176,
        1.43337,
        1.43897,
        1.43741,
        1.43767,
        1.44299,
        1.44229,
        1.43835,
        1.43727,
        1.43625,
        1.42824,
        1.4072,
        1.38061,
        1.24921,
        1.22727,
        1.20178,
        1.20176,
        1.19393,
        1.1899,
        1.17757,
        1.16971,
        1.16886,
        1.16497,
        1.15339,
        1.13911,
        1.1246,
        1.11038,
        1.10559,
        1.11207,
        1.09906,
        1.08791,
        1.07957,
        1.06915,
        1.06152,
        1.06859,
        1.06978,
        1.06592,
        1.05135,
        1.04313,
        1.03811,
        1.02743,
        1.0298,
        1.02597,
        1.0168,
        1.01932,
        1.02166,
        1.00364,
        1.02259,
        1.01921,
        1.00991,
        0.999298,
        0.982539,
        0.98893,
        1.0057,
        0.994041,
        0.994995,
        0.984255,
        0.979337,
        0.999282,
        0.98296,
        0.983805,
        0.966523,
        0.977268,
        0.986974,
        0.982015,
        0.978116,
        0.975693,
        0.966278,
        0.964504,
        0.980191,
        0.989671,
        0.976289,
        0.987748,
        0.973069,
        0.970211,
        0.974297,
        0.981661,
        0.986848,
        0.986802,
        0.983498,
        0.98283,
        0.981177,
        0.971397,
        0.979257,
        0.974606,
        0.975239,
        0.977478,
        0.98715,
        0.98171,
        0.977554,
        0.979066,
        0.974639,
        0.97127,
        0.978331,
        0.988839,
        0.991737,
        0.982314,
        0.975274,
        1.0056,
        0.977249,
        0.97591,
        0.983803,
        0.984679,
        0.979458,
        0.977417,
        0.972027,
        0.966056,
        0.97139,
        0.981177,
        0.97679,
        0.971896,
        0.988338,
        0.989731,
        0.974392,
        0.96857,
        0.994187,
        0.988904,
        0.992229,
        0.988344,
        0.988154,
        0.994911,
        1.00154,
        1.00118,
        0.980198,
        0.983253,
        0.999722,
        1.00844,
        0.985554,
        1.00516,
        1.00043,
        0.999593,
        1.00082,
        1.01365,
        1.02045,
        1.01505,
        1.01067,
        1.01217,
        1.01219,
        0.995623,
        1.01163,
        0.999552,
        1.00959,
        1.00511,
        1.02139,
        1.01551,
        1.02387,
        1.02655,
        1.01463,
        1.00321,
        0.998036,
        0.995552,
        0.991054,
        0.980415,
        1.00202,
        1.01394,
        1.01246,
        1.0313,
        1.01457,
        1.03317,
        1.0224,
        1.00496,
        0.996378,
        0.969295,
        0.946544,
        0.967819,
        0.978836,
        0.993763,
        1.01141,
        1.01182,
        1.0006,
        0.984892,
        0.980954,
        0.99826,
        1.01364,
        1.00583,
        0.996271,
        0.999361,
        0.996252,
        0.992565,
        0.99014,
        0.983353,
        0.989847,
        0.981293,
        0.982979,
        0.979319,
        0.975717,
        0.983255,
        0.983775,
        0.970556,
        0.970086,
        0.979293,
        0.986525,
        0.98943,
        0.994467,
        0.975244,
        0.977158,
        0.973794,
        0.968878,
        0.969916,
        0.97993,
        0.97743,
        0.966485,
        0.971473,
        0.982344,
        0.972255,
        0.973898,
        0.98549,
        0.976183,
        0.955408,
        0.95219,
        0.983341,
        0.973255,
        0.967986,
        0.962727,
        0.95977,
        0.962809,
        0.968175,
        0.96919,
        0.964456,
        0.96722,
        0.960724,
        0.969558,
        0.974971,
        0.968388,
        0.964293,
        0.960615,
        0.970456,
        0.971118,
        0.974011,
        0.964485,
        0.962908,
        0.977597,
        0.971434,
        0.958461,
        0.965985,
        0.970324,
        0.973001,
        0.975018,
        0.977853,
        0.97773,
        0.97818,
        0.979077,
        0.970912,
        0.968455,
        0.968695,
        0.970996,
        0.974524,
        0.950672,
        0.875977,
        0.766391,
        0.725187,
        0.848773,
        0.932931,
        0.957401,
        0.962458,
        0.967475,
        0.967693,
        0.964284,
        0.969315,
        0.973818,
        0.972541,
        0.96992,
        0.961037,
        0.958613,
        0.968142,
        0.960342,
        0.966561,
        0.977241,
        0.968969,
        0.978004,
        0.984291,
        0.97274,
        0.970053,
        0.972937,
        0.97082,
        0.970113,
        0.973338,
        0.974132,
        0.971077,
        0.956613,
        0.96743,
        0.966407,
        0.964814,
        0.972357,
        0.973192,
        0.975564,
        0.962068,
        0.962799,
        0.972208,
        0.970893,
        0.960156,
        0.957388,
        0.96767,
        0.961987,
        0.955568,
        0.95911,
        0.96163,
        0.963718,
        0.969083,
        0.957798,
        0.958917,
        0.957055,
        0.958619,
        0.962901,
        0.966513,
        0.970239,
        0.970067,
        0.961574,
        0.951565,
        0.954349,
        0.961747,
        0.962738,
        0.960792,
        0.9646,
        0.959887,
        0.966868,
        0.968824,
        0.967225,
        0.956911,
        0.955043,
        0.961353,
        0.959672,
        0.960319,
        0.951144,
        0.965641,
        0.960529,
        0.963818,
        0.964737,
        0.953706,
        0.940116,
        0.948347,
        0.964255,
        0.960835,
        0.958565,
        0.964204,
        0.963204,
        0.954438,
        0.955761,
        0.964797,
        0.957495,
        0.959444,
        0.967951,
        0.966404,
        0.984211,
        0.947246,
        0.965954,
        0.983243,
        0.968248,
        0.969614,
        0.978317,
        0.970325,
        0.964124,
        0.973078,
        0.977928,
        0.977408,
        0.983306,
        1.0001,
        0.997802,
        0.990555,
        0.987433,
        0.98443,
        0.995221,
        0.999528,
        0.999853,
        0.998089,
        0.999526,
        1.00605,
        1.01448,
        1.01933,
        1.02079,
        1.02638,
        1.02673,
        1.03364,
        1.04118,
        1.04029,
        1.01971,
        1.03267,
        1.04676,
        1.04621,
        1.04953,
        1.05134,
        1.04927,
        1.04701,
        1.04836,
        1.05289,
        1.05342,
        1.05045,
        1.05189,
        1.05715,
        1.05129,
        1.04602,
        1.06388,
        1.06873,
        1.05884,
        1.06107,
        1.0732,
        1.08204,
        1.08463,
        1.08967,
        1.09046,
        1.08508,
        1.09159,
        1.09381,
        1.10844,
        1.1271,
        1.14414,
        1.15054,
        1.1528,
        1.16545,
        1.18217,
        1.18094,
        1.20946,
        1.24176,
        1.25668,
        1.26714,
        1.29299,
        1.32621,
        1.34261,
        1.36462,
        1.39407,
        1.38806,
        1.41102,
        1.45607,
        1.46876,
        1.46238,
        1.46515,
        1.47784,
        1.5037,
        1.50648,
        1.50029,
        1.50755,
        1.51313,
        1.50285,
        1.48485,
        1.47001,
        1.46113,
        1.4377,
        1.4165,
        1.40865,
        1.40087,
        1.41297,
        1.40891,
        1.42703,
        1.44669,
        1.45322,
        1.46476,
        1.46455,
        1.4472,
        1.4481,
        1.45662,
        1.44048,
        1.46569,
        1.46546,
        1.4396,
        1.4138,
        1.43624,
        1.41718,
        1.38715,
        1.37977,
        1.24993,
        1.23567,
        1.23738,
        1.22187,
        1.2414,
        1.23878,
        1.23401,
        1.21736,
        1.19061,
        1.17798,
        1.19794,
        1.20207,
        1.17601,
        1.16969,
        1.17783,
        1.16438,
        1.15358,
        1.15581,
        1.15029,
        1.15905,
        1.16517,
        1.15774,
        1.16893,
        1.16467,
        1.14856,
        1.12546,
        1.16477,
        1.1752,
        1.15956,
        null,
        1.04441,
        1.06684,
        1.06466,
        1.07456,
        1.06945,
        1.05355,
        1.04003,
        1.05097,
        1.04941,
        1.04582,
        1.04144,
        1.03784,
        1.04672,
        1.04326,
        1.03882,
        1.05587,
        1.04718,
        1.03579,
        1.02462,
        1.03766,
        1.04502,
        1.04912,
        1.04737,
        1.02273,
        1.01669,
        1.01838,
        1.02358,
        1.02199,
        1.0105,
        1.00794,
        1.02606,
        1.03342,
        1.0054,
        1.03162,
        1.02948,
        1.00607,
        1.00919,
        1.01164,
        1.01281,
        1.01107,
        1.00553,
        1.00143,
        1.0063,
        1.00341,
        1.00374,
        1.00103,
        1.00099,
        1.00509,
        0.997107,
        0.994646,
        0.998591,
        1.00301,
        0.997326,
        0.987774,
        0.97025,
        1.00034,
        0.989982,
        0.988104,
        0.987123,
        0.984862,
        0.977396,
        0.984369,
        0.99018,
        0.991362,
        0.988187,
        0.986373,
        0.990196,
        0.982145,
        0.98029,
        0.981053,
        0.987905,
        0.995904,
        0.998056,
        0.993641,
        0.963571,
        0.996282,
        0.99509,
        0.986605,
        0.979683,
        0.973659,
        0.974826,
        0.973357,
        0.966541,
        0.958232,
        0.909149,
        0.804995,
        0.771239,
        0.869148,
        0.95559,
        0.958139,
        0.965233,
        0.974329,
        0.979799,
        0.97307,
        0.974275,
        0.96392,
        0.971809,
        0.981009,
        0.989029,
        0.985205,
        0.974203,
        0.972735,
        0.978237,
        0.974449,
        0.963279,
        0.967945,
        0.97143,
        0.964571,
        0.966806,
        0.950522,
        0.971537,
        0.960195,
        0.937742,
        0.944273,
        0.955434,
        0.956487,
        0.950747,
        0.948384,
        0.953691,
        0.950612,
        0.939184,
        0.948691,
        0.961775,
        0.944078,
        0.962455,
        0.941757,
        0.955843,
        0.960029,
        0.954659,
        0.956657,
        0.962323,
        0.965227,
        0.955417,
        0.967896,
        0.9635,
        0.959016,
        0.961433,
        0.962447,
        0.946242,
        0.946561,
        0.9665,
        0.952491,
        0.964107,
        0.976289,
        0.960609,
        0.955906,
        0.941721,
        0.946455,
        0.990605,
        0.96531,
        0.963819,
        0.963517,
        0.962753,
        0.960004,
        0.957927,
        0.961523,
        0.966215,
        0.960259,
        0.956348,
        0.963839,
        0.964271,
        0.964495,
        0.965112,
        0.958408,
        0.944046,
        0.984622,
        0.964098,
        0.962487,
        0.96728,
        0.963506,
        0.955616,
        0.954065,
        0.965719,
        0.966132,
        0.961287,
        0.966386,
        0.966976,
        0.96104,
        0.961612,
        0.966925,
        0.969244,
        0.953108,
        0.957808,
        0.976677,
        0.964486,
        0.958289,
        0.962911,
        0.965295,
        0.973004,
        0.965007,
        0.958255,
        0.970912,
        0.968569,
        0.961257,
        0.953839,
        0.960969,
        0.969493,
        0.964321,
        0.962549,
        0.963736,
        0.966425,
        0.975555,
        0.969737,
        0.960482,
        0.956037,
        0.970392,
        0.980312,
        0.979848,
        0.979038,
        0.983349,
        0.986533,
        0.982115,
        0.970796,
        0.969597,
        0.972381,
        0.965923,
        0.973578,
        0.983996,
        0.975135,
        0.977144,
        0.96817,
        0.974991,
        0.987557,
        0.987984,
        0.974704,
        0.974155,
        0.978007,
        0.990855,
        1.00603,
        0.994448,
        0.991749,
        0.99915,
        1.00479,
        1.00291,
        1.00451,
        1.00583,
        0.999119,
        0.992266,
        0.997489,
        1.01264,
        1.03257,
        1.05891,
        1.04001,
        1.10171,
        1.05772,
        1.04706,
        1.01022,
        1.00162,
        1.0161,
        1.0285,
        1.03097,
        1.01744,
        1.02226,
        1.04184,
        null,
        1.00401,
        0.994865,
        0.985715,
        0.976029,
        0.969451,
        0.971618,
        0.971936,
        0.963391,
        0.964743,
        0.967147,
        0.980731,
        0.971425,
        0.976123,
        0.988134,
        0.986174,
        0.973628,
        0.979696,
        0.972177,
        0.965521,
        0.963656,
        0.972147,
        0.973393,
        0.974536,
        0.974045,
        0.97725,
        0.978016,
        0.971527,
        0.970488,
        0.971161,
        0.964586,
        0.964049,
        0.970971,
        0.971772,
        0.96193,
        0.965585,
        0.975969,
        0.966129,
        0.967322,
        0.959885,
        0.973943,
        0.976792,
        0.987389,
        0.987859,
        0.986466,
        0.975694,
        0.970715,
        0.980085,
        0.981291,
        0.982548,
        0.972927,
        0.972909,
        0.978917,
        0.974818,
        0.968335,
        0.966091,
        0.965047,
        0.965696,
        0.969253,
        0.969332,
        0.98408,
        0.98707,
        0.988198,
        0.976923,
        0.967928,
        0.984466,
        0.929804,
        0.953982,
        0.980731,
        0.976606,
        0.990104,
        0.995034,
        0.984029,
        0.980586,
        0.980134,
        0.978,
        0.973689,
        0.96908,
        0.971962,
        0.973547,
        0.968494,
        0.963989,
        0.973819,
        0.987596,
        0.990871,
        0.978574,
        0.984675,
        0.986102,
        0.957617,
        0.974709,
        0.967736,
        0.990264,
        0.972698,
        0.981546,
        0.971988,
        0.990219,
        0.979294,
        0.976195,
        0.977907,
        0.973238,
        0.975871,
        0.97399,
        0.978075,
        0.986766,
        0.979086,
        0.976683,
        0.984639,
        0.979306,
        0.982334,
        0.986802,
        0.979669,
        0.977717,
        1.0626,
        1.09234,
        0.961347,
        0.961927,
        0.988847,
        0.966414,
        0.964652,
        0.957999,
        0.96633,
        0.960436,
        0.972336,
        0.982151,
        0.981051,
        0.99033,
        0.98715,
        0.979747,
        0.973044,
        0.973538,
        0.978364,
        0.9815,
        0.982992,
        0.983838,
        0.987258,
        0.986016,
        0.979774,
        0.978451,
        0.979646,
        0.982721,
        0.987366,
        0.987874,
        0.97587,
        0.976315,
        0.980104,
        0.979477,
        0.977749,
        0.987046,
        0.980096,
        0.980527,
        0.979883,
        0.984224,
        0.986885,
        0.977348,
        0.983456,
        0.980218,
        0.980862,
        0.988395,
        0.987934,
        0.990264,
        0.948364,
        0.930698,
        0.97736,
        0.973593,
        0.985616,
        0.985562,
        0.981571,
        0.986874,
        0.9935,
        0.988527,
        0.995167,
        0.99595,
        1.00316,
        1.00071,
        0.983278,
        0.992229,
        1.00333,
        0.998471,
        0.998177,
        1.00901,
        1.00839,
        1.0086,
        1.01156,
        1.00963,
        1.01335,
        1.02479,
        1.03951,
        1.04054,
        1.0356,
        1.03251,
        1.03569,
        1.04481,
        1.04633,
        1.04447,
        1.0483,
        1.05604,
        1.07097,
        1.06607,
        1.08098,
        1.07308,
        1.07551,
        1.07532,
        1.07128,
        1.08041,
        1.08383,
        1.06994,
        1.08802,
        1.09509,
        1.10053,
        1.10094,
        1.09822,
        1.09377,
        1.09635,
        1.11506,
        1.12073,
        1.13233,
        1.14399,
        1.13551,
        1.14113,
        1.15765,
        1.17534,
        1.19545,
        1.20944,
        1.23195,
        1.2509,
        1.28292,
        1.31646,
        1.32068,
        1.34482,
        1.37216,
        1.38233,
        1.3988,
        1.40285,
        1.51162,
        1.52951,
        1.53569,
        1.53557,
        1.53316,
        1.5091,
        1.48507,
        1.48861,
        1.49417,
        1.483,
        1.47249,
        1.46373,
        1.44602,
        1.44354,
        1.45501,
        1.46381,
        1.4642,
        1.464,
        1.48304,
        1.50202,
        1.50861,
        1.51652,
        1.49701,
        1.50623,
        1.5094,
        1.51201,
        1.51133,
        1.48753,
        1.48041,
        1.47419,
        1.46428,
        1.42261,
        1.43367,
        1.43835,
        1.3337,
        1.33199,
        1.3412,
        1.35396,
        1.35817,
        1.35448,
        1.39215,
        1.20561,
        1.18656,
        1.20678,
        1.18975,
        1.17031,
        1.16213,
        1.14819,
        1.12765,
        1.11448,
        1.1234,
        1.11191,
        1.09366,
        1.10127,
        1.11211,
        1.09577,
        1.08092,
        1.08165,
        1.0775,
        1.08521,
        1.0976,
        1.09529,
        1.08911,
        1.08963,
        1.09251,
        1.0899,
        1.08479,
        1.09631,
        1.08793,
        1.08496,
        1.07735,
        1.08142,
        1.09097,
        1.0872,
        1.09543,
        1.07509,
        1.08328,
        1.08019,
        1.07898,
        1.08577,
        1.07377,
        1.07449,
        1.08024,
        1.07897,
        1.07822,
        1.07685,
        1.06848,
        1.06218,
        1.05926,
        1.05848,
        1.0423,
        1.04464,
        1.03358,
        1.04479,
        1.03049,
        1.01995,
        1.03085,
        1.04502,
        1.0455,
        1.04513,
        1.04354,
        1.02687,
        1.02605,
        1.01997,
        1.0067,
        0.99895,
        0.998276,
        1.01209,
        1.02503,
        1.01594,
        1.00055,
        1.00554,
        1.01392,
        1.00844,
        1.00247,
        0.993579,
        1.00115,
        1.00773,
        0.981393,
        0.98711,
        0.986664,
        0.989919,
        0.993125,
        1.00582,
        0.989828,
        0.980616,
        0.989256,
        0.971005,
        0.983061,
        0.993182,
        0.998921,
        0.990055,
        0.980259,
        0.997929,
        0.974694,
        0.966942,
        0.971874,
        0.967926,
        0.960719,
        0.965458,
        0.973089,
        0.981198,
        0.999452,
        0.981475,
        0.963483,
        0.979515,
        0.97735,
        0.975261,
        0.97757,
        0.980259,
        0.98063,
        0.984927,
        0.970843,
        0.960056,
        0.986073,
        0.969421,
        0.972723,
        0.976203,
        0.983158,
        0.979886,
        0.974958,
        0.974119,
        0.965095,
        0.972742,
        0.984711,
        0.977168,
        0.978415,
        0.976947,
        0.980357,
        0.982018,
        0.988094,
        0.984987,
        0.983106,
        0.983069,
        0.979257,
        0.979308,
        0.982939,
        0.984402,
        0.980044,
        0.974135,
        0.973553,
        0.981177,
        0.993213,
        0.993971,
        0.996019,
        0.988296,
        0.977396,
        0.981016,
        0.982291,
        0.985588,
        0.985188,
        0.981993,
        0.982023,
        0.982966,
        0.964585,
        0.970411,
        0.979502,
        0.978167,
        0.978407,
        0.975824,
        0.979982,
        0.987279,
        0.986771,
        0.979092,
        0.97832,
        0.980174,
        0.980099,
        0.992296,
        0.99378,
        0.974756,
        0.96021,
        0.967174,
        0.972358,
        0.964864,
        0.97128,
        0.981729,
        0.992534,
        0.992467,
        0.985598,
        0.981204,
        0.978074,
        0.981764,
        0.985946,
        0.989476,
        0.982184,
        0.987804,
        0.987477,
        0.982275,
        0.985549,
        0.980492,
        0.979032,
        0.961833,
        0.968796,
        0.988857,
        0.99443,
        0.994601,
        0.990348,
        0.978853,
        0.986072,
        0.986043,
        0.97597,
        0.979645,
        0.981919,
        0.976434,
        0.975036,
        0.982006,
        0.979468,
        0.978443,
        0.978988,
        0.988296,
        0.994275,
        0.979437,
        0.98565,
        0.990344,
        0.990565,
        0.99062,
        0.978583,
        0.976484,
        0.976555,
        0.97137,
        0.974759,
        0.987286,
        0.987604,
        0.977593,
        0.995697,
        0.986979,
        0.979855,
        0.977114,
        0.964977,
        0.984284,
        0.986515,
        0.97086,
        0.980979,
        0.976366,
        0.966802,
        0.972791,
        0.973019,
        1.00043,
        0.991327,
        0.99007,
        0.970784,
        0.966212,
        0.995332,
        1.01188,
        0.98457,
        0.982001,
        0.968107,
        0.97401,
        0.989069,
        0.962368,
        0.975021,
        0.993348,
        0.971098,
        0.971163,
        0.983264,
        0.992031,
        1.00469,
        0.991845,
        0.951453,
        0.960645,
        0.971847,
        0.987304,
        0.985066,
        0.981521,
        0.997001,
        0.981767,
        0.998476,
        0.96965,
        0.976264,
        0.975878,
        1.01484,
        0.996789,
        0.994398,
        1.00465,
        0.999867,
        1.00163,
        1.00092,
        0.995072,
        0.977681,
        0.991153,
        0.973859,
        0.99305,
        0.989771,
        0.993326,
        0.993779,
        0.996547,
        0.984193,
        0.97977,
        1.01369,
        0.911543,
        0.983155,
        1.00688,
        0.990984,
        0.992049,
        0.976333,
        0.975222,
        0.998126,
        0.998826,
        0.992632,
        0.981931,
        0.990375,
        1.00369,
        1.01331,
        1.01999,
        1.00026,
        0.99186,
        0.997112,
        0.988878,
        0.994599,
        1.01038,
        1.09756,
        1.09236,
        1.08848,
        1.09936,
        1.0941,
        1.10896,
        1.11704,
        null,
        0.999008,
        0.976631,
        0.995093,
        0.976529,
        0.978322,
        0.993781,
        0.96701,
        0.978615,
        0.975058,
        0.989046,
        0.993785,
        0.987854,
        0.980334,
        0.977393,
        0.980242,
        0.978739,
        0.985432,
        0.996832,
        0.980201,
        0.985259,
        0.986534,
        0.981801,
        0.981023,
        0.978937,
        0.987282,
        0.987416,
        0.969971,
        0.978614,
        0.979473,
        0.973737,
        0.985362,
        0.987192,
        0.988566,
        0.981094,
        0.970616,
        0.976112,
        0.981422,
        0.989909,
        0.986048,
        0.987931,
        0.987088,
        0.976151,
        0.976327,
        0.989035,
        0.987793,
        0.970941,
        0.971206,
        0.975234,
        0.982058,
        0.983723,
        0.977193,
        0.975605,
        0.976015,
        0.972637,
        0.976459,
        0.984833,
        0.979339,
        0.971944,
        0.972087,
        0.974874,
        0.971614,
        0.974009,
        0.976147,
        0.969034,
        0.97404,
        0.98608,
        0.985026,
        0.983877,
        0.985009,
        0.98634,
        0.99578,
        0.988033,
        0.977282,
        0.97768,
        0.972103,
        0.979772,
        0.989831,
        0.990503,
        0.984562,
        0.983212,
        0.990326,
        0.983626,
        0.98323,
        0.989002,
        0.981064,
        0.972974,
        0.977823,
        0.983161,
        0.971992,
        0.976122,
        0.991143,
        0.986115,
        0.980678,
        0.991693,
        0.990416,
        0.977836,
        0.972984,
        0.982674,
        0.980857,
        0.99031,
        0.989234,
        0.971766,
        0.988533,
        0.988251,
        0.993557,
        0.982545,
        0.985994,
        null,
        1.09355,
        1.10261,
        1.11168,
        1.10226,
        1.08871,
        1.08034,
        1.07198,
        1.06367,
        1.06143,
        1.05537,
        1.04455,
        1.03644,
        1.02412,
        1.01503,
        1.03589,
        1.05081,
        1.04411,
        1.03321,
        1.02252,
        1.02106,
        1.0244,
        1.01615,
        1.02078,
        1.03134,
        1.01929,
        1.01651,
        1.01205,
        1.00498,
        0.995922,
        1.01909,
        1.01814,
        1.00773,
        0.997809,
        1.01006,
        0.99818,
        0.999063,
        1.00292,
        1.00303,
        0.989482,
        0.997012,
        1.00017,
        1.02704,
        0.998781,
        0.993145,
        0.987817,
        0.987765,
        1.01001,
        1.00569,
        1.00784,
        0.987203,
        1.00578,
        0.995418,
        0.976199,
        0.976818,
        0.965065,
        0.972711,
        0.962026,
        0.968099,
        0.962413,
        0.973511,
        0.97002,
        0.956596,
        0.952571,
        0.965374,
        0.956622,
        0.9568,
        0.955303,
        0.96311,
        0.9471,
        0.936578,
        0.93753,
        0.933548,
        0.967659,
        0.972054,
        0.951948,
        0.956504,
        0.968116,
        0.961675,
        0.968262,
        0.97832,
        0.96507,
        0.95756,
        0.965257,
        0.975443,
        0.984962,
        0.964982,
        0.956454,
        0.958993,
        0.955357,
        0.956001,
        0.948903,
        0.953543,
        0.951147,
        0.946348,
        0.957559,
        0.963895,
        0.965231,
        0.976089,
        0.968581,
        0.95443,
        0.958622,
        0.956701,
        0.960673,
        0.970331,
        0.969505,
        0.956102,
        0.953724,
        0.961654,
        0.95668,
        0.960203,
        0.957709,
        0.961006,
        0.960263,
        0.954325,
        0.955424,
        0.960624,
        0.961067,
        0.963275,
        0.959097,
        0.948259,
        0.953677,
        0.94164,
        0.94798,
        0.952998,
        0.974059,
        0.945937,
        0.941129,
        0.956607,
        0.962523,
        0.950861,
        0.973846,
        0.984458,
        0.965415,
        0.956889,
        0.944531,
        0.97057,
        0.961735,
        0.960812,
        0.975182,
        0.96113,
        0.952564,
        0.961239,
        0.958917,
        0.961755,
        0.966306,
        0.976823,
        0.966294,
        0.96269,
        0.964582,
        0.958556,
        0.944607,
        0.96263,
        0.959712,
        0.952027,
        0.956993,
        0.956552,
        0.95687,
        0.960126,
        0.957854,
        0.957636,
        0.966876,
        0.965239,
        0.952646,
        0.957035,
        0.960912,
        0.959864,
        0.959302,
        0.954637,
        0.957465,
        0.956752,
        0.955759,
        0.954032,
        0.957279,
        0.961517,
        0.961536,
        0.962582,
        0.960802,
        0.96115,
        0.959514,
        0.949635,
        0.952257,
        0.953839,
        0.951311,
        0.951416,
        0.959855,
        0.969019,
        0.968597,
        0.962843,
        0.937633,
        0.953488,
        0.94634,
        0.969636,
        0.96377,
        0.947551,
        0.954586,
        0.974001,
        0.959852,
        0.95225,
        0.9484,
        0.948803,
        0.945532,
        0.963179,
        0.973611,
        0.953294,
        0.949397,
        0.951445,
        0.969506,
        0.957045,
        0.945246,
        0.959091,
        0.97184,
        0.951593,
        0.954466,
        0.953988,
        0.948774,
        0.943073,
        0.949973,
        0.960314,
        0.955377,
        0.957487,
        0.949891,
        0.940599,
        0.931882,
        0.931237,
        0.940686,
        0.92761,
        0.936202,
        0.959979,
        0.961881,
        0.971014,
        0.950176,
        0.942175,
        0.941615,
        0.938638,
        0.964655,
        0.966741,
        0.963103,
        0.965344,
        0.961186,
        0.947765,
        0.958166,
        0.944013,
        0.94965,
        0.94665,
        0.939233,
        0.938772,
        0.944806,
        0.947879,
        0.965613,
        0.946929,
        0.938974,
        0.950835,
        0.950625,
        0.949184,
        0.948102,
        0.960012,
        0.95986,
        0.949364,
        0.954372,
        0.954262,
        0.949782,
        0.941437,
        0.936569,
        0.945531,
        0.951194,
        0.954692,
        0.954548,
        0.95563,
        0.952825,
        0.947733,
        0.964954,
        0.964172,
        0.950554,
        0.989908,
        0.999161,
        0.984469,
        0.991584,
        0.987718,
        0.982559,
        0.984005,
        0.989029,
        0.976326,
        0.976929,
        0.977679,
        0.964795,
        0.962241,
        0.971113,
        0.976877,
        0.973374,
        0.974025,
        0.976754,
        0.971375,
        0.980658,
        1.00031,
        1.0003,
        0.990523,
        0.988157,
        0.991228,
        0.99642,
        0.995522,
        1.0001,
        1.00636,
        1.01733,
        1.0036,
        1.01261,
        1.01445,
        1.03285,
        1.0391,
        1.03425,
        1.0257,
        1.03165,
        1.02408,
        1.03181,
        1.03119,
        1.03942,
        1.04916,
        1.03672,
        1.05197,
        1.0473,
        1.05994,
        1.05398,
        1.05367,
        1.05717,
        1.0685,
        1.07706,
        1.06135,
        1.06516,
        1.08046,
        1.08176,
        1.08323,
        1.08391,
        1.08395,
        1.08732,
        1.09758,
        1.1117,
        1.11522,
        1.11615,
        1.11993,
        1.13185,
        1.1415,
        1.16006,
        1.182,
        1.20594,
        1.2342,
        1.2457,
        1.26895,
        1.28676,
        1.29871,
        1.33891,
        1.35749,
        1.37074,
        1.39912,
        1.4355,
        1.4339,
        1.46499,
        1.49016,
        1.5205,
        1.507,
        1.47983,
        1.47086,
        1.50262,
        1.50004,
        1.48365,
        1.47793,
        1.48822,
        1.50542,
        1.49355,
        1.47827,
        1.47211,
        1.4337,
        1.42188,
        1.43021,
        1.42225,
        1.40463,
        1.37623,
        1.37343,
        1.31124,
        1.32591,
        1.29258,
        1.31739,
        1.28875,
        1.25812,
        1.26039,
        1.2462,
        1.22605,
        1.20926,
        1.20659,
        1.19857,
        1.19365,
        1.17843,
        1.06574,
        1.05977,
        1.06252,
        1.04992,
        1.03007,
        1.03504,
        1.03657,
        1.03035,
        1.01455,
        1.00105,
        1.00686,
        1.01654,
        0.995632,
        1.00578,
        1.00547,
        0.980922,
        0.980745,
        0.989391,
        0.99459,
        0.992783,
        0.989629,
        0.983661,
        0.989933,
        0.997714,
        0.982111,
        0.97564,
        0.976998,
        0.98647,
        0.97962,
        0.976395,
        0.974284,
        0.963637,
        0.965231,
        0.976597,
        0.97443,
        0.971497,
        0.963294,
        0.967624,
        0.975728,
        0.965179,
        0.970115,
        0.96565,
        0.970598,
        0.9688,
        0.974688,
        0.96452,
        0.975281,
        0.96865,
        0.967364,
        0.953926,
        0.953932,
        0.966744,
        0.964807,
        0.96531,
        0.964361,
        0.968382,
        0.961822,
        0.964589,
        0.949057,
        0.954767,
        0.957448,
        0.957979,
        0.952742,
        0.943304,
        0.950889,
        0.957209,
        0.949374,
        0.961578,
        0.96086,
        0.955347,
        0.946411,
        0.955834,
        0.952714,
        0.954082,
        0.958926,
        0.960616,
        0.970267,
        0.957313,
        0.947284,
        0.944524,
        0.982852,
        0.961364,
        0.9562,
        0.976801,
        0.966564,
        0.961548,
        0.963199,
        0.973715,
        0.975118,
        0.961116,
        0.951226,
        0.941817,
        0.951665,
        0.960058,
        0.967214,
        0.967688,
        0.965075,
        0.978053,
        0.961347,
        0.936731,
        0.954068,
        0.95757,
        0.969392,
        0.956665,
        0.956966,
        0.957532,
        0.970851,
        0.955291,
        0.947484,
        0.920152,
        0.939719,
        0.935769,
        0.933044,
        0.937801,
        0.905383,
        0.93488,
        0.972883,
        0.957486,
        0.958534,
        0.956325,
        0.962586,
        0.958618,
        0.964866,
        null,
        1.07881,
        1.00631,
        1.03711,
        1.05041,
        1.06185,
        1.0288,
        1.04295,
        1.00099,
        0.999148,
        1.03262,
        1.02728,
        1.03107,
        1.01082,
        1.03073,
        1.04907,
        1.07567,
        1.04595,
        1.02397,
        1.03481,
        1.04202,
        1.05726,
        1.07141,
        1.07296,
        1.06772,
        1.06913,
        1.05555,
        1.06054,
        1.07453,
        1.06508,
        1.07029,
        1.0675,
        1.05337,
        1.12329,
        1.12219,
        1.07495,
        1.07922,
        1.07954,
        1.07391,
        1.05602,
        1.12127,
        1.14276,
        1.11965,
        1.12153,
        1.11827,
        1.09765,
        1.08933,
        1.12082,
        1.14174,
        null,
        1.22866,
        1.2303,
        1.2277,
        1.22708,
        1.23412,
        1.22411,
        1.2086,
        1.1898,
        1.15349,
        1.12884,
        1.12507,
        1.14239,
        1.15003,
        1.14517,
        1.1242,
        1.10354,
        1.08394,
        1.07821,
        1.09348,
        1.11821,
        1.10148,
        1.08663,
        1.07311,
        1.06099,
        1.05665,
        1.05161,
        1.03189,
        1.04048,
        1.05201,
        1.04709,
        1.04762,
        1.04766,
        1.04427,
        1.03883,
        1.03753,
        1.04315,
        1.05882,
        1.06178,
        1.04865,
        1.05338,
        1.04789,
        1.03287,
        1.03296,
        1.03357,
        1.03366,
        1.0256,
        1.02458,
        1.02731,
        1.028,
        1.02312,
        1.02073,
        1.03607,
        1.03072,
        1.02451,
        1.03463,
        1.03726,
        1.03401,
        1.02259,
        1.01989,
        1.0186,
        1.01747,
        1.02161,
        1.02417,
        1.02431,
        1.02576,
        1.02602,
        1.02499,
        1.0203,
        1.01698,
        1.01636,
        1.02979,
        1.02902,
        1.02242,
        1.02964,
        1.03048,
        1.02716,
        1.0189,
        1.01808,
        1.01654,
        1.00708,
        1.0032,
        1.0045,
        1.01331,
        1.00768,
        1.0011,
        0.996543,
        1.00661,
        1.00957,
        1.00284,
        0.99315,
        0.99656,
        1.01148,
        1.01979,
        1.02386,
        1.02374,
        1.01534,
        1.01914,
        1.02723,
        1.02302,
        1.01306,
        1.00405,
        1.00708,
        1.00619,
        1.0021,
        0.99309,
        0.99674,
        1.00658,
        1.02249,
        1.02186,
        1.01918,
        1.01688,
        1.01747,
        1.0203,
        1.02548,
        1.03351,
        1.02988,
        1.01753,
        1.02454,
        1.02596,
        1.02189,
        1.00694,
        0.998735,
        0.997696,
        1.01267,
        1.02171,
        1.02804,
        1.03304,
        1.02006,
        1.00807,
        1.00959,
        1.02498,
        1.03599,
        1.03485,
        1.02221,
        1.01591,
        1.01961,
        1.00303,
        0.997066,
        1.003,
        1.02513,
        1.0224,
        1.00152,
        1.0014,
        0.999384,
        0.997456,
        1.00317,
        1.00746,
        1.01009,
        1.00891,
        1.00701,
        1.00651,
        1.01037,
        1.01008,
        0.996314,
        0.957893,
        0.947899,
        0.966414,
        1.02035,
        0.891796,
        0.954025,
        0.949225,
        0.961567,
        1.0045,
        0.981921,
        0.966591,
        0.961826,
        0.980626,
        0.996522,
        1.00924,
        1.01283,
        0.997739,
        0.978649,
        0.995597,
        1.00058,
        0.999481,
        0.995931,
        0.993517,
        1.00052,
        1.03071,
        1.02983,
        1.02182,
        1.01408,
        1.00366,
        0.997826,
        0.999017,
        1.00064,
        0.999779,
        0.996235,
        1.0043,
        1.00014,
        0.986847,
        0.994028,
        1.00565,
        1.01907,
        1.0258,
        1.02106,
        1.01239,
        1.0111,
        1.00388,
        0.999395,
        1.00823,
        1.00303,
        0.993269,
        0.981617,
        0.994599,
        1.00793,
        1.01628,
        1.00358,
        0.998941,
        1.00556,
        1.00615,
        1.00983,
        1.01514,
        1.0011,
        0.99629,
        0.999399,
        1.01309,
        1.01944,
        1.02082,
        1.01719,
        1.01815,
        1.01949,
        1.01707,
        1.01959,
        1.02569,
        1.03663,
        1.02524,
        1.016,
        1.01578,
        1.02571,
        1.02483,
        1.00953,
        1.01978,
        1.02709,
        1.03126,
        1.03168,
        1.03103,
        1.02885,
        1.02101,
        1.01855,
        1.01956,
        1.02326,
        1.02053,
        1.01502,
        1.00865,
        1.01426,
        1.0233,
        1.03273,
        1.02211,
        1.0104,
        1.00275,
        1.0124,
        1.01291,
        1.0007,
        1.01577,
        1.02328,
        1.0231,
        1.01209,
        1.01759,
        1.02488,
        1.02509,
        1.02135,
        1.01587,
        1.02039,
        1.01388,
        1.01058,
        1.01314,
        1.01908,
        1.02092,
        1.01214,
        1.01905,
        1.02295,
        1.01767,
        1.00941,
        1.00904,
        1.01801,
        1.01899,
        1.01721,
        1.01161,
        1.02035,
        1.01317,
        1.00648,
        1.00507,
        1.00578,
        1.0068,
        1.01517,
        1.01678,
        1.00906,
        0.999912,
        1.00779,
        1.00786,
        1.00345,
        1.00855,
        1.00874,
        1.00436,
        1.00955,
        1.00067,
        0.995933,
        0.992974,
        0.997685,
        1.00112,
        1.00253,
        0.999689,
        0.97966,
        0.983982,
        1.01642,
        1.02036,
        0.996396,
        0.986249,
        0.991008,
        1.00186,
        1.00295,
        1.00718,
        0.991537,
        0.998668,
        0.988958,
        1.01797,
        0.942893,
        0.935982,
        0.957902,
        0.955768,
        0.965645,
        0.973938,
        0.999145,
        1.01621,
        1.0463,
        1.02864,
        1.00641,
        1.01485,
        1.0138,
        1.02442,
        1.02565,
        1.037,
        1.03334,
        1.04217,
        1.03764,
        1.02907,
        1.02812,
        1.04943,
        1.03684,
        1.03106,
        1.03846,
        1.04415,
        1.05087,
        1.04546,
        1.045,
        1.04122,
        1.05025,
        1.05337,
        1.05641,
        1.05843,
        1.06043,
        1.05063,
        1.06155,
        1.07983,
        1.08696,
        1.07925,
        1.06101,
        1.06782,
        1.07254,
        1.06608,
        1.07,
        1.09436,
        1.09566,
        1.0782,
        1.0857,
        1.0969,
        1.09789,
        1.10355,
        1.13155,
        1.13027,
        1.13263,
        1.12956,
        1.17029,
        1.16076,
        1.13812,
        1.14976,
        1.17055,
        1.20194,
        1.22415,
        1.17721,
        null,
        1.57811,
        1.60367,
        1.60597,
        1.60368,
        1.59824,
        1.66158,
        1.65034,
        1.64799,
        1.66542,
        1.66683,
        1.65669,
        1.63613,
        1.6494,
        1.6567,
        1.61468,
        1.60355,
        1.58958,
        1.58012,
        1.55619,
        1.54677,
        1.52294,
        1.50577,
        1.51267,
        1.53288,
        1.54165,
        1.53992,
        1.55444,
        1.5452,
        1.55112,
        1.55912,
        1.56111,
        1.55503,
        1.57321,
        1.54538,
        1.53204,
        1.52749,
        1.48317,
        1.46555,
        1.45117,
        1.44269,
        1.43428,
        1.42193,
        1.40052,
        1.35137,
        1.32182,
        1.33242,
        1.33805,
        1.38149,
        1.10695,
        1.06542,
        1.06888,
        1.06485,
        1.06724,
        1.07284,
        1.10175,
        1.1735,
        1.08116,
        1.07476,
        1.06102,
        0.947964,
        0.959531,
        0.952746,
        1.00027,
        1.04059,
        1.04727,
        1.04264,
        1.05313,
        1.03498,
        1.03666,
        1.04193,
        1.04665,
        1.03257,
        1.03235,
        1.03602,
        1.02957,
        1.033,
        1.03223,
        1.01347,
        1.01633,
        1.02109,
        1.02159,
        1.02447,
        1.02225,
        1.02629,
        1.02612,
        1.02873,
        1.02288,
        1.01992,
        1.0241,
        1.00945,
        1.0003,
        1.02035,
        1.0141,
        1.01452,
        1.01062,
        1.01036,
        1.00643,
        1.01599,
        1.02148,
        1.01607,
        1.01192,
        1.01649,
        1.01927,
        1.00622,
        1.0114,
        1.02518,
        1.01158,
        1.01262,
        1.01352,
        1.01219,
        1.01183,
        1.01245,
        1.00688,
        1.01292,
        1.00379,
        1.00115,
        1.00152,
        1.0141,
        1.00978,
        1.01132,
        1.01695,
        1.0091,
        1.00921,
        1.01845,
        1.01601,
        1.01182,
        1.0078,
        1.00642,
        0.998803,
        1.00373,
        0.999074,
        1.00055,
        0.997831,
        0.996745,
        1.00342,
        1.01011,
        1.00938,
        1.00318,
        1.01234,
        1.00588,
        0.995219,
        0.996899,
        0.989373,
        0.997556,
        1.00209,
        0.998485,
        0.995184,
        0.994234,
        0.999809,
        1.00552,
        0.9926,
        1.00226,
        0.99641,
        0.98679,
        1.00341,
        0.993791,
        0.995457,
        1.00493,
        0.999524,
        0.989934,
        0.994135,
        0.991676,
        1.00676,
        1.00043,
        0.999691,
        0.997614,
        1.00411,
        1.00534,
        0.994286,
        0.995105,
        1.0007,
        1.00504,
        1.00367,
        0.998604,
        1.00301,
        0.998172,
        1.00895,
        1.00219,
        1.00576,
        0.997211,
        1.00433,
        1.01398,
        1.00022,
        1.00045,
        1.00141,
        0.992136,
        0.992624,
        0.949491,
        0.993431,
        0.977004,
        0.990115,
        1.00088,
        0.994569,
        1.0001,
        0.999914,
        0.996026,
        0.995809,
        0.997041,
        0.990842,
        1.00181,
        1.00224,
        1.01621,
        1.0045,
        0.999545,
        0.997714,
        1.00405,
        1.01614,
        1.0172,
        1.00127,
        0.933546,
        1.0011,
        0.980238,
        0.967602,
        0.990692,
        0.981705,
        0.983933,
        0.986583,
        0.993932,
        1.00646,
        1.01302,
        1.01244,
        1.00905,
        1.00506,
        0.995622,
        0.98774,
        0.997873,
        1.00316,
        1.00649,
        1.01241,
        1.01673,
        1.02152,
        1.02269,
        1.02339,
        1.02037,
        1.02105,
        1.01924,
        1.01988,
        1.01783,
        1.01326,
        1.01943,
        1.01196,
        1.0049,
        1.00889,
        1.00694,
        1.00758,
        0.996994,
        1.00452,
        1.02089,
        1.01367,
        1.01268,
        1.00877,
        0.996825,
        1.01262,
        1.00387,
        1.00323,
        1.01357,
        1.01173,
        0.999358,
        0.999275,
        0.993364,
        0.994785,
        0.994725,
        0.989767,
        0.995491,
        0.999202,
        0.998286,
        1.00037,
        1.00259,
        0.999964,
        1.0007,
        1.00357,
        0.994942,
        0.997405,
        0.997894,
        0.9925,
        0.988089,
        0.990364,
        0.998142,
        0.982848,
        0.982757,
        0.993734,
        0.999894,
        0.994156,
        0.986155,
        0.982399,
        0.992652,
        0.996666,
        0.99444,
        0.992659,
        0.991739,
        1.00244,
        0.997422,
        0.985969,
        0.994377,
        0.989254,
        0.988725,
        0.991251,
        0.994916,
        0.993989,
        0.987898,
        0.98795,
        0.990523,
        0.989548,
        0.994371,
        0.988574,
        0.985277,
        0.994961,
        0.991707,
        0.98689,
        0.98879,
        0.990392,
        0.990636,
        0.982368,
        0.987486,
        0.995512,
        0.999375,
        0.997757,
        0.986349,
        0.983486,
        0.987727,
        0.989872,
        0.98791,
        0.989543,
        0.986507,
        0.987815,
        0.989126,
        0.983268,
        0.991626,
        1.00831,
        1.00647,
        0.995134,
        0.977975,
        0.978579,
        0.979753,
        0.982639,
        0.991322,
        0.994744,
        0.996799,
        1.00032,
        1.00025,
        0.998244,
        0.994325,
        0.990911,
        0.9909,
        0.994964,
        0.993512,
        0.994531,
        0.99786,
        1.00315,
        1.00803,
        1.01102,
        1.00591,
        0.994932,
        0.987068,
        1.00395,
        1.00157,
        1.00516,
        0.998102,
        0.999506,
        0.995396,
        1.00331,
        1.0014,
        0.999057,
        0.998882,
        1.0019,
        1.0179,
        1.03142,
        0.994001,
        0.967433,
        0.95821,
        0.988241,
        1.01667,
        1.05565,
        1.04003,
        1.03988,
        1.05304,
        1.02553,
        1.01462,
        1.01485,
        1.01683,
        1.03214,
        1.04386,
        1.02694,
        1.02248,
        1.02308,
        1.02692,
        1.03885,
        1.05051,
        1.06042,
        1.05473,
        1.05153,
        1.05173,
        1.05944,
        1.06138,
        1.06187,
        1.07457,
        1.07807,
        1.07688,
        1.07304,
        1.06912,
        1.07121,
        1.0851,
        1.07738,
        1.07538,
        1.08487,
        1.08651,
        1.09123,
        1.09824,
        1.09623,
        1.09221,
        1.08918,
        1.09838,
        1.09782,
        1.09741,
        1.10993,
        1.11471,
        1.11598,
        1.11429,
        1.12393,
        1.13341,
        1.1407,
        1.14428,
        1.15033,
        1.15797,
        1.15563,
        1.15459,
        1.15522,
        1.16026,
        1.15535,
        1.15055,
        1.15789,
        1.16273,
        1.16591,
        1.16707,
        1.1698,
        1.1632,
        1.14491,
        1.1413,
        1.14471,
        1.15396,
        1.15976,
        1.16239,
        1.16254,
        1.15964,
        1.16611,
        1.17364,
        1.1742,
        1.17886,
        1.17865,
        1.1681,
        1.17419,
        1.17605,
        1.17065,
        1.16504,
        1.17031,
        1.18369,
        1.18879,
        1.19421,
        1.19922,
        1.20174,
        1.22486,
        1.24867,
        1.25493,
        1.27273,
        1.29294,
        1.31332,
        1.33322,
        1.35824,
        1.38888,
        1.40683,
        1.42867,
        1.4519,
        1.46253,
        1.47986,
        1.50153,
        1.52611,
        1.53603,
        1.5408,
        1.54471,
        1.55711,
        1.56788,
        1.57376,
        1.57696,
        1.57544,
        1.56871,
        1.54974,
        1.54091,
        1.53741,
        1.51878,
        1.51086,
        1.50574,
        1.49278,
        1.48032,
        1.47616,
        1.48965,
        1.50444,
        1.51261,
        1.51132,
        1.51327,
        1.51593,
        1.51892,
        1.51884,
        1.52366,
        1.52893,
        1.51818,
        1.50452,
        1.49328,
        1.49279,
        1.48257,
        1.45077,
        1.42672,
        1.42277,
        1.40541,
        1.375,
        1.34829,
        1.33506,
        1.31753,
        1.31116,
        1.29412,
        1.27137,
        1.25237,
        1.24491,
        1.24426,
        1.24548,
        1.24606,
        1.24564,
        1.22705,
        1.25031,
        1.2173,
        1.2085,
        1.18338,
        1.16195,
        1.15846,
        1.0885,
        1.04017,
        0.99956,
        0.993585,
        1.02676,
        1.01678,
        1.01914,
        1.01658,
        1.01127,
        1.02348,
        1.03129,
        1.04014,
        1.02089,
        1.02577,
        1.04429,
        1.03166,
        1.0157,
        1.01206,
        1.01335,
        1.01927,
        1.01503,
        1.0096,
        1.01475,
        1.01263,
        0.991533,
        0.998597,
        1.00689,
        1.01507,
        1.015,
        1.00728,
        0.99822,
        0.998261,
        1.0032,
        1.00737,
        1.00968,
        1.00307,
        0.995632,
        0.995861,
        1.003,
        1.00028,
        0.988683,
        1.00014,
        0.995498,
        0.99112,
        1.00335,
        0.998342,
        0.999544,
        0.999971,
        0.997687,
        1.00122,
        1.00119,
        1.00052,
        1.00543,
        1.00513,
        0.999933,
        1.00318,
        1.00187,
        1.00535,
        1.00857,
        1.00287,
        1.00059,
        1.01186,
        1.01198,
        1.00436,
        1.00393,
        0.993118,
        0.97607,
        0.990409,
        0.997366,
        0.995545,
        0.99336,
        0.997481,
        1.00312,
        0.994968,
        0.990806,
        0.98622,
        0.975251,
        0.981868,
        0.992144,
        1.00101,
        0.995434,
        0.993182,
        0.996941,
        1.00041,
        1.00168,
        1.00137,
        1.00013,
        0.993145,
        0.997417,
        1.01188,
        1.0015,
        0.997181,
        1.00583,
        1.00449,
        1.00261,
        1.00414,
        0.983159,
        1.00079,
        1.00304,
        1.01512,
        1.02579,
        1.03112,
        1.01224,
        1.01142,
        1.01553,
        1.01162,
        1.01787,
        1.02277,
        1.02077,
        1.02311,
        1.02499,
        1.0258,
        1.02949,
        1.02373,
        1.01224,
        1.0145,
        1.01315,
        1.01125,
        1.01412,
        1.02444,
        1.0287,
        1.01465,
        1.01313,
        1.01409,
        1.01582,
        1.00627,
        1.00498,
        1.01112,
        1.0088,
        1.01216,
        1.0162,
        1.00682,
        1.00999,
        1.0139,
        1.0069,
        1.01298,
        1.01674,
        1.01195,
        1.01548,
        1.01544,
        1.01073,
        1.00519,
        1.00017,
        0.997329,
        1.00666,
        1.00936,
        1.00841,
        1.0055,
        1.00502,
        1.00612,
        1.00907,
        0.992122,
        0.982033,
        0.984254,
        0.990284,
        0.99027,
        0.985345,
        0.984175,
        0.989015,
        0.995699,
        0.995741,
        0.985669,
        0.973801,
        0.96619,
        0.982155,
        0.968297,
        0.904704,
        0.983418,
        0.998023,
        0.970575,
        0.964523,
        0.965569,
        0.957068,
        0.967779,
        0.975715,
        0.967683,
        0.973788,
        0.981337,
        0.988373,
        0.985202,
        0.986261,
        0.990795,
        0.993273,
        0.998184,
        1.00006,
        0.985188,
        0.983132,
        0.982898,
        0.977325,
        0.976264,
        0.975723,
        0.974835,
        null,
        0.951035,
        0.951577,
        0.95212,
        0.952662,
        0.953204,
        0.947117,
        0.942334,
        0.942959,
        0.942944,
        0.9498,
        0.961233,
        0.95275,
        0.957897,
        0.96631,
        0.965185,
        0.95855,
        0.952628,
        0.949461,
        0.9419,
        0.938954,
        0.940282,
        0.945858,
        0.947284,
        0.949662,
        0.958365,
        0.953904,
        0.94471,
        0.932808,
        0.940293,
        0.945077,
        0.945849,
        0.937233,
        0.937242,
        0.93989,
        0.942552,
        0.943207,
        0.940313,
        0.935539,
        0.947942,
        0.952868,
        0.951978,
        0.944933,
        0.944792,
        0.947522,
        0.952178,
        0.941317,
        0.938855,
        0.943356,
        0.944445,
        0.937279,
        0.932474,
        0.942316,
        0.940479,
        0.939188,
        0.941139,
        0.945867,
        0.952087,
        0.95702,
        0.9508,
        0.948962,
        0.950192,
        0.954578,
        0.94853,
        0.945803,
        0.947153,
        0.941899,
        0.938926,
        0.938938,
        0.944939,
        0.937908,
        0.935707,
        0.947045,
        0.948242,
        0.945837,
        0.940191,
        0.93105,
        0.943505,
        0.959286,
        0.959442,
        0.932024,
        0.916904,
        0.915788,
        0.923815,
        0.936181,
        0.923328,
        0.913842,
        0.920121,
        0.941781,
        0.955427,
        0.958866,
        0.940404,
        0.936094,
        0.937957,
        0.939561,
        0.937301,
        0.939595,
        0.94881,
        0.959344,
        0.961349,
        0.958108,
        0.958159,
        0.955899,
        0.952285,
        0.947426,
        0.953153,
        0.955331,
        0.953147,
        0.955111,
        0.953512,
        0.95288,
        0.961647,
        0.957879,
        0.957218,
        0.965632,
        0.967517,
        0.964414,
        0.958302,
        0.9574,
        0.952012,
        0.950035,
        0.960523,
        0.95487,
        0.95216,
        0.956,
        0.956544,
        0.958191,
        0.958551,
        0.950089,
        0.95036,
        0.952888,
        0.954818,
        0.960436,
        0.959124,
        0.951331,
        0.947703,
        0.946774,
        0.950778,
        0.96567,
        0.959795,
        0.949471,
        0.938596,
        0.952039,
        0.960417,
        0.964438,
        0.966347,
        0.96427,
        0.962467,
        0.964598,
        0.952689,
        0.949992,
        0.95933,
        0.968218,
        0.967276,
        0.961953,
        0.961142,
        0.965102,
        0.967741,
        0.966064,
        0.965614,
        0.96509,
        0.964427,
        0.963665,
        0.963429,
        0.96293,
        0.961139,
        0.96217,
        0.965975,
        0.972614,
        0.972539,
        0.970867,
        0.968066,
        0.965178,
        0.965474,
        0.964477,
        0.959024,
        0.967997,
        0.976487,
        0.982009,
        0.975685,
        0.973174,
        0.9735,
        0.976649,
        0.981025,
        0.985432,
        0.989507,
        0.97864,
        0.976971,
        0.979974,
        0.968801,
        0.973388,
        0.978464,
        0.971138,
        0.967345,
        0.972229,
        0.985148,
        0.981633,
        0.987912,
        0.994442,
        0.981322,
        0.976234,
        0.976167,
        0.98118,
        0.982785,
        0.983783,
        0.983747,
        0.979376,
        0.984585,
        0.992678,
        0.997811,
        0.990449,
        0.990737,
        1.00365,
        1.04413,
        1.0407,
        1.01282,
        1.00122,
        1.00105,
        1.00499,
        1.01063,
        1.01108,
        1.00986,
        1.00773,
        1.00799,
        1.01193,
        1.01631,
        1.01695,
        1.02451,
        1.02863,
        1.0266,
        1.01789,
        1.02078,
        1.02939,
        1.0257,
        1.02878,
        1.03219,
        1.0319,
        1.03781,
        1.03559,
        1.02578,
        1.02973,
        1.04669,
        1.05929,
        1.0356,
        1.01172,
        1.0071,
        1.03024,
        1.05607,
        1.04347,
        1.00886,
        1.00593,
        1.00245,
        1.02095,
        1.02581,
        1.02073,
        1.0231,
        1.02521,
        1.03127,
        1.04679,
        1.03613,
        1.02823,
        1.0271,
        1.02719,
        1.0253,
        1.02448,
        1.03206,
        1.02687,
        1.02362,
        1.02847,
        1.03214,
        1.02965,
        1.0237,
        1.03005,
        1.02864,
        1.02418,
        1.01989,
        1.01627,
        1.01775,
        1.02514,
        1.02836,
        1.03368,
        1.03637,
        1.02484,
        1.02572,
        1.03078,
        1.0372,
        1.03194,
        1.03003,
        1.03064,
        1.02544,
        1.01434,
        1.00944,
        1.02727,
        1.03741,
        1.04101,
        1.03798,
        1.03053,
        1.03542,
        1.04724,
        1.05748,
        1.05109,
        1.04595,
        1.05122,
        1.05153,
        1.0565,
        1.06422,
        1.06083,
        1.06285,
        1.06429,
        1.058,
        1.05388,
        1.0565,
        1.06675,
        1.07518,
        1.07075,
        1.06106,
        1.06337,
        1.06976,
        1.07398,
        1.07248,
        1.07617,
        1.07967,
        1.0833,
        1.09069,
        1.09598,
        1.09833,
        1.09555,
        1.10703,
        1.1136,
        1.11109,
        1.09552,
        1.10658,
        1.13127,
        1.143,
        1.15368,
        1.16334,
        1.17176,
        1.20164,
        1.23097,
        1.25612,
        1.26208,
        1.2857,
        1.31213,
        1.3266,
        1.34789,
        1.37992,
        1.423,
        1.45443,
        1.46322,
        1.46832,
        1.51098,
        1.46579,
        1.47576,
        1.47383,
        1.47068,
        1.468,
        1.46025,
        1.44065,
        1.42155,
        1.42224,
        1.44148,
        1.42585,
        1.40751,
        1.38895,
        1.37496,
        1.36831,
        1.35071,
        1.3137,
        1.29482,
        1.27536,
        1.25763,
        1.25276,
        1.24226,
        1.23271,
        1.22933,
        1.21292,
        1.20168,
        1.1982,
        1.20259,
        1.19631,
        1.18356,
        1.16802,
        1.17088,
        1.16627,
        1.14632,
        1.12804,
        1.12548,
        1.13035,
        1.11448,
        1.11591,
        1.1154,
        1.0993,
        1.09315,
        1.08969,
        1.08761,
        1.08189,
        1.06281,
        1.0351,
        1.00082,
        0.900015,
        0.948716,
        0.966586,
        0.979934,
        0.990252,
        0.996244,
        0.989694,
        0.990402,
        1.02051,
        1.03743,
        1.01865,
        0.960959,
        0.979155,
        0.990061,
        0.991766,
        0.975469,
        0.97982,
        0.984745,
        0.982187,
        0.969088,
        0.961491,
        0.959122,
        0.960571,
        0.962753,
        0.966292,
        0.972131,
        0.973493,
        0.94354,
        0.887825,
        0.948851,
        0.963958,
        0.957718,
        0.963295,
        0.962416,
        0.958754,
        0.953095,
        0.956376,
        0.955112,
        0.949301,
        0.937219,
        0.948682,
        0.959121,
        0.953679,
        0.938349,
        0.935231,
        0.943203,
        0.945491,
        0.9496,
        0.951312,
        0.945023,
        0.939951,
        0.940412,
        0.947568,
        0.945712,
        0.950262,
        0.955891,
        0.949329,
        0.951933,
        0.951131,
        0.940392,
        0.93707,
        0.939794,
        0.946524,
        0.948579,
        0.950188,
        0.951133,
        0.950982,
        0.951614,
        0.951218,
        0.949159,
        0.941029,
        0.943067,
        0.948169,
        0.946686,
        0.949044,
        0.953478,
        0.959549,
        0.949762,
        0.939798,
        0.934376,
        0.949472,
        0.947073,
        0.94009,
        0.935142,
        0.947916,
        0.950565,
        0.943545,
        0.949795,
        0.953629,
        0.954016,
        0.948176,
        0.942091,
        0.940989,
        0.946127,
        0.952734,
        0.950841,
        0.94495,
        0.943349,
        0.943309,
        0.940969,
        0.934331,
        0.942071,
        0.944707,
        0.942529,
        0.93749,
        0.938726,
        0.940753,
        0.939703,
        0.954944,
        0.960096,
        0.953611,
        0.948823,
        0.94665,
        0.943044,
        0.931751,
        0.934525,
        0.938136,
        0.939669,
        0.945988,
        0.949723,
        0.952338,
        0.957107,
        0.954879,
        0.949795,
        0.943123,
        0.936582,
        0.937398,
        0.944079,
        0.949435,
        0.948221,
        0.94711,
        0.951837,
        0.948651,
        0.952175,
        0.962433,
        0.955457,
        0.945368,
        0.937801,
        0.942782,
        0.942123,
        0.943001,
        0.947434,
        0.94514,
        0.948623,
        0.9529,
        0.943505,
        0.942684,
        0.944911,
        0.948066,
        0.956796,
        0.959094,
        0.95517,
        0.94868,
        0.951158,
        0.956972,
        0.961999,
        0.951418,
        0.94867,
        0.9569,
        0.964302,
        0.958872,
        0.950312,
        0.954361,
        0.949362,
        0.93763,
        0.919016,
        0.928392,
        0.921812,
        0.910926,
        0.934172,
        0.941016,
        0.936041,
        0.918601,
        0.961753,
        0.956789,
        0.960299,
        0.945759,
        0.928092,
        0.929487,
        0.951008,
        0.9633,
        0.957446,
        0.958295,
        0.959245,
        0.958654,
        0.950905,
        0.951902,
        0.957269,
        0.965809,
        0.977896,
        0.979782,
        0.973001,
        0.969335,
        0.987963,
        0.99781,
        0.964942,
        0.989912,
        1.01258,
        1.02269,
        1.01013,
        1.01014,
        1.01307,
        1.004,
        0.984327,
        null,
        1.03781,
        1.03711,
        1.01727,
        1.00378,
        1.00464,
        1.00581,
        1.00486,
        1.00475,
        1.01506,
        1.00663,
        1.00248,
        1.01645,
        1.01348,
        1.00459,
        0.994457,
        1.0045,
        0.992458,
        0.981728,
        0.991545,
        0.995787,
        1.00126,
        1.00786,
        1.00573,
        1.00748,
        1.00646,
        0.991653,
        0.996263,
        1.00453,
        1.01262,
        1.01669,
        1.01154,
        1.00554,
        1.01625,
        1.00468,
        1.00323,
        1.02603,
        1.02312,
        1.02115,
        1.01862,
        1.00772,
        1.01762,
        1.02884,
        1.03076,
        1.02671,
        1.02032,
        1.01417,
        1.02345,
        1.02886,
        1.03511,
        1.04747,
        1.03829,
        1.03069,
        1.02713,
        1.02019,
        1.02977,
        1.04277,
        1.04114,
        1.04158,
        1.04285,
        1.04473,
        1.04958,
        1.04445,
        1.03269,
        1.01931,
        1.02958,
        1.04585,
        1.0623,
        1.04318,
        1.04267,
        1.05377,
        1.04519,
        1.03949,
        1.03417,
        1.0278,
        1.02884,
        1.03916,
        1.05408,
        1.04279,
        1.03989,
        1.04331,
        1.05297,
        1.05257,
        1.04498,
        1.03285,
        1.04378,
        1.04271,
        1.03321,
        1.01673,
        1.02755,
        1.03723,
        1.02635,
        1.03058,
        1.01271,
        1.00679,
        1.00639,
        0.991117,
        0.988361,
        0.989209,
        0.989412,
        0.997505,
        0.994872,
        0.986127,
        1.00026,
        1.00042,
        0.996109,
        0.993833,
        0.996734,
        0.993214,
        0.984296,
        0.996942,
        0.994719,
        0.989659,
        0.995449,
        0.993243,
        0.990727,
        0.989687,
        0.993105,
        0.997094,
        0.996595,
        0.980299,
        0.978743,
        0.978648,
        0.975995,
        0.976449,
        0.979373,
        0.983137,
        0.983568,
        0.992695,
        0.998221,
        0.993481,
        0.982801,
        0.982623,
        0.989388,
        0.988022,
        0.989778,
        0.993472,
        0.998909,
        0.990999,
        0.989113,
        0.994479,
        1.00474,
        1.00445,
        1.00461,
        1.01646,
        1.01801,
        1.01432,
        1.0079,
        1.01716,
        1.01772,
        1.01807,
        1.0305,
        1.02693,
        1.02897,
        1.04107,
        1.03834,
        1.04474,
        1.05143,
        1.03975,
        1.03486,
        1.03573,
        1.04252,
        1.03838,
        1.03823,
        1.04026,
        1.03953,
        1.04549,
        1.05359,
        1.06212,
        1.0528,
        1.05375,
        1.06222,
        1.0628,
        1.06234,
        1.0662,
        1.07916,
        1.08105,
        1.08473,
        1.08941,
        1.08279,
        1.08892,
        1.09872,
        1.1052,
        1.09903,
        1.1048,
        1.12403,
        1.12724,
        1.14837,
        1.17421,
        1.18916,
        1.19526,
        1.21441,
        1.25037,
        1.27123,
        1.28329,
        1.29712,
        1.33434,
        1.35206,
        1.37991,
        1.42673,
        1.45156,
        1.46704,
        1.47401,
        1.47203,
        1.47904,
        1.48802,
        1.49652,
        1.49875,
        1.51002,
        1.52161,
        1.49801,
        1.49525,
        1.48591,
        1.45189,
        1.46833,
        1.45964,
        1.4335,
        1.453,
        1.44907,
        1.43554,
        1.42078,
        1.42849,
        1.4368,
        1.44326,
        1.44447,
        1.48918,
        1.52136,
        1.47906,
        1.47807,
        1.47346,
        1.46269,
        null,
        1.00395,
        1.01978,
        1.00148,
        1.01407,
        1.05594,
        1.0019,
        0.982026,
        0.983044,
        0.997128,
        1.00202,
        1.00028,
        0.992215,
        0.978469,
        0.981164,
        0.987547,
        0.979397,
        0.993326,
        0.994132,
        0.973648,
        0.964409,
        0.955531,
        0.95163,
        0.962943,
        0.967685,
        0.967467,
        0.962954,
        0.976062,
        0.973716,
        0.962946,
        0.95698,
        0.951232,
        0.949398,
        0.953345,
        0.953026,
        0.961286,
        0.970877,
        0.961297,
        0.954717,
        0.954948,
        0.964736,
        0.978621,
        0.980567,
        0.973652,
        0.964944,
        0.952893,
        0.947951,
        0.956626,
        0.957845,
        0.957668,
        0.95725,
        0.960016,
        0.96843,
        0.970144,
        0.955818,
        0.954884,
        0.961469,
        0.970712,
        0.962914,
        0.954049,
        0.948478,
        0.950202,
        0.940396,
        0.939695,
        0.947515,
        0.950449,
        0.957614,
        0.967444,
        0.979404,
        0.963408,
        0.953891,
        0.953013,
        0.950978,
        0.945794,
        0.942013,
        0.944824,
        0.947118,
        0.951187,
        0.95575,
        0.946868,
        0.950233,
        0.95495,
        0.94897,
        0.949936,
        0.947769,
        0.942042,
        0.946411,
        0.951593,
        0.950934,
        0.932959,
        0.927952,
        0.935476,
        0.954143,
        0.958139,
        0.9551,
        0.950293,
        0.950886,
        0.952829,
        0.949059,
        0.938688,
        0.940249,
        0.93991,
        0.936457,
        0.926277,
        0.934973,
        0.943808,
        0.947897,
        0.945368,
        0.951981,
        0.956759,
        0.936843,
        0.946615,
        0.954619,
        0.951613,
        0.947758,
        0.948713,
        0.951544,
        0.950738,
        0.946762,
        0.957332,
        0.989378,
        0.9682,
        0.953225,
        0.943563,
        0.938808,
        0.934241,
        0.933489,
        0.938525,
        0.925291,
        0.915847,
        0.914301,
        0.934281,
        0.932788,
        0.931109,
        0.937695,
        0.934565,
        0.939957,
        0.949124,
        0.947318,
        0.949811,
        0.951929,
        0.951471,
        0.953272,
        0.950966,
        0.946538,
        0.946132,
        0.945333,
        0.943771,
        0.941106,
        0.946525,
        0.942892,
        0.934558,
        0.938587,
        0.941853,
        0.945665,
        0.950845,
        0.937034,
        0.935733,
        0.943787,
        0.94679,
        0.951313,
        0.953878,
        0.951864,
        0.955325,
        0.95523,
        0.952798,
        0.954931,
        0.951569,
        0.949056,
        0.951537,
        0.956512,
        0.967401,
        0.961107,
        0.969088,
        0.968699,
        0.966251,
        0.966006,
        0.969826,
        0.970553,
        0.968929,
        0.973587,
        0.973378,
        0.974095,
        0.980873,
        0.980746,
        0.975856,
        0.968736,
        0.97386,
        0.973743,
        0.971451,
        0.968896,
        0.971567,
        0.977941,
        0.985747,
        0.981273,
        0.983208,
        0.982791,
        0.971721,
        0.969124,
        0.970862,
        0.975364,
        0.975529,
        0.980858,
        0.986657,
        0.988938,
        0.983063,
        0.975917,
        0.970571,
        0.983056,
        0.987214,
        0.986081,
        0.980485,
        0.982038,
        0.98283,
        0.982875,
        0.990387,
        0.995853,
        1.00082,
        1.0067,
        1.0042,
        1.00482,
        1.00959,
        1.01478,
        1.02403,
        1.02951,
        1.0217,
        1.01734,
        1.01816,
        1.02368,
        1.02724,
        1.02943,
        1.03104,
        1.03261,
        1.03359,
        1.03297,
        1.03086,
        1.02872,
        1.02835,
        1.02891,
        1.02987,
        1.02473,
        1.02462,
        1.02984,
        1.03289,
        1.02859,
        1.02812,
        1.04372,
        1.04579,
        1.0461,
        1.04519,
        1.03634,
        1.03802,
        1.01532,
        1.01591,
        1.01535,
        1.0143,
        1.00639,
        0.997088,
        0.991048,
        1.00166,
        1.00008,
        0.986207,
        0.983892,
        0.978159,
        0.966305,
        0.944051,
        0.972926,
        0.991421,
        0.992405,
        0.967792,
        0.964355,
        0.96899,
        0.972709,
        0.981099,
        0.987881,
        0.991402,
        0.985803,
        0.982949,
        0.982929,
        0.986591,
        0.975543,
        0.967051,
        0.963375,
        0.969848,
        0.972381,
        0.971446,
        0.966346,
        0.96799,
        0.970336,
        0.972969,
        0.976603,
        0.979662,
        0.980758,
        0.978331,
        0.965657,
        0.957575,
        0.954841,
        0.956492,
        0.964007,
        0.971346,
        0.974541,
        0.96293,
        0.957661,
        0.959664,
        0.968778,
        0.964313,
        0.96167,
        0.971484,
        0.962954,
        0.964281,
        0.973847,
        0.981198,
        0.973196,
        0.964209,
        0.962617,
        1.0073,
        1.02784,
        1.01627,
        0.950429,
        0.956359,
        0.976396,
        0.982142,
        0.987245,
        0.992119,
        0.994446,
        0.985627,
        0.988708,
        0.99742,
        1.00968,
        1.00797,
        1.00919,
        1.01233,
        1.01315,
        1.01079,
        1.00577,
        0.997921,
        1.01238,
        1.02467,
        1.03223,
        1.02794,
        1.02397,
        1.02074,
        1.01852,
        1.02891,
        1.03827,
        1.04445,
        1.04144,
        1.02946,
        1.02598,
        1.03803,
        1.05163,
        null,
        1.01328,
        1.01344,
        1.0136,
        1.01375,
        1.01391,
        1.01302,
        1.01103,
        1.00788,
        1.00552,
        1.01124,
        1.01642,
        1.00721,
        1.01229,
        1.021,
        1.03027,
        1.03071,
        1.02989,
        1.02848,
        1.02687,
        1.02869,
        1.02393,
        1.01463,
        1.00821,
        1.0084,
        1.0171,
        1.03392,
        1.0149,
        1.00994,
        1.01699,
        1.03648,
        1.02759,
        1.02193,
        1.02429,
        1.03073,
        1.0327,
        1.02849,
        1.01558,
        1.03274,
        1.03253,
        1.01668,
        0.995337,
        1.01569,
        1.10032,
        1.03072,
        1.02872,
        1.04284,
        1.04119,
        0.995806,
        0.979233,
        0.981313,
        0.976077,
        0.977806,
        0.979615,
        0.978749,
        0.965681,
        0.962556,
        0.959333,
        0.944242,
        0.958305,
        0.962428,
        0.956616,
        0.966493,
        0.967013,
        0.963597,
        0.958502,
        0.975433,
        0.968847,
        0.952541,
        0.958642,
        0.961846,
        0.961903,
        0.959395,
        0.964361,
        0.962575,
        0.959448,
        0.959843,
        0.965527,
        0.968329,
        0.969131,
        0.974416,
        0.974236,
        0.970303,
        0.963009,
        0.949969,
        0.947582,
        0.95367,
        0.965888,
        0.965595,
        0.953749,
        0.935436,
        0.954311,
        0.947417,
        0.93434,
        0.928488,
        0.932322,
        0.930881,
        0.927037,
        0.931455,
        0.933927,
        0.940586,
        0.953063,
        0.955422,
        0.947699,
        0.939595,
        0.943207,
        0.939585,
        0.943839,
        0.952122,
        0.933066,
        0.931689,
        0.937764,
        0.94693,
        0.939521,
        0.938405,
        0.940409,
        0.93862,
        0.933982,
        0.934144,
        0.939341,
        0.93408,
        0.932825,
        0.934615,
        0.939346,
        0.939428,
        0.936586,
        0.931683,
        0.926736,
        0.935427,
        0.940541,
        0.935921,
        0.927743,
        0.931797,
        0.941141,
        0.946608,
        0.95764,
        0.95751,
        0.946694,
        0.941943,
        0.948758,
        0.954877,
        0.953173,
        0.96297,
        0.967498,
        0.969572,
        0.974906,
        0.968317,
        0.964519,
        0.966731,
        0.969548,
        0.972307,
        0.975134,
        0.978159,
        0.991679,
        0.995858,
        0.992142,
        0.988661,
        0.995896,
        1.00267,
        1.00476,
        0.998154,
        0.990596,
        0.983647,
        0.979553,
        0.995318,
        1.00428,
        1.00438,
        0.999806,
        1.00312,
        1.0063,
        1.00527,
        1.00681,
        1.00945,
        1.01142,
        1.00924,
        1.01982,
        1.02952,
        1.03547,
        1.03713,
        1.03352,
        1.02958,
        1.02905,
        1.03069,
        1.04049,
        1.05183,
        1.048,
        1.05309,
        1.06273,
        1.07613,
        1.09628,
        1.10687,
        1.11632,
        1.13315,
        1.15066,
        1.16664,
        1.18272,
        1.20585,
        1.22707,
        1.24782,
        1.26869,
        1.29099,
        1.30489,
        1.31626,
        1.33281,
        1.34898,
        1.36256,
        1.37227,
        1.37293,
        1.38958,
        1.39831,
        1.38639,
        1.39428,
        1.39724,
        1.39281,
        1.37486,
        1.36256,
        1.35722,
        1.35624,
        1.34064,
        1.33272,
        1.32818,
        1.32452,
        1.31479,
        1.31468,
        1.32072,
        1.32554,
        1.32323,
        1.33179,
        1.3523,
        1.34526,
        1.35278,
        1.35724,
        1.34336,
        1.34557,
        1.33267,
        1.31441,
        1.3225,
        1.312,
        1.30347,
        1.3011,
        1.27381,
        1.26482,
        1.26076,
        1.24914,
        1.23675,
        1.21676,
        1.19371,
        1.18607,
        1.18254,
        1.16998,
        1.14445,
        1.14091,
        1.1414,
        1.13883,
        1.1239,
        1.12764,
        1.12153,
        1.10697,
        1.10065,
        1.09089,
        1.08156,
        1.07419,
        1.05943,
        1.05252,
        1.04929,
        1.04438,
        1.03572,
        1.03141,
        1.0302,
        1.02097,
        1.00869,
        1.00563,
        1.01787,
        0.99605,
        0.990154,
        0.992145,
        0.990704,
        0.987912,
        0.985562,
        0.983834,
        0.981982,
        0.977767,
        0.97401,
        0.972384,
        0.967343,
        0.966491,
        0.964997,
        0.953422,
        0.957013,
        0.95996,
        0.96001,
        0.96137,
        0.953782,
        0.943725,
        0.934898,
        0.938335,
        0.9437,
        0.948359,
        0.947071,
        0.943595,
        0.940162,
        0.938121,
        0.944016,
        0.944506,
        0.943487,
        0.943351,
        0.933811,
        0.932458,
        0.933977,
        0.926515,
        0.924403,
        0.92498,
        0.927455,
        0.92943,
        0.931,
        0.932186,
        0.932945,
        0.929908,
        0.931972,
        0.935463,
        0.932007,
        0.927392,
        0.922013,
        0.917194,
        0.92266,
        0.917682,
        0.913074,
        0.916359,
        0.916925,
        0.911125,
        0.906614,
        0.921144,
        0.922776,
        0.919049,
        0.913969,
        0.925401,
        0.92503,
        0.923945,
        0.92941,
        0.927921,
        0.928906,
        0.92854,
        0.917727,
        0.923361,
        0.923074,
        0.915891,
        0.933547,
        0.930633,
        0.922391,
        0.917731,
        0.911043,
        0.915413,
        0.924075,
        0.92325,
        0.922138,
        0.923821,
        0.92862,
        0.933866,
        0.926234,
        0.920384,
        0.92593,
        0.919754,
        0.919878,
        0.922728,
        0.921228,
        0.917255,
        0.915677,
        0.91714,
        0.920252,
        0.925884,
        0.927714,
        0.921527,
        0.929882,
        0.929494,
        0.924362,
        0.920557,
        0.920052,
        0.919872,
        0.920328,
        0.92613,
        0.922387,
        0.919636,
        0.923168,
        0.91828,
        0.928068,
        0.937784,
        0.92275,
        0.923499,
        0.927908,
        0.932321,
        0.926627,
        0.920599,
        0.918291,
        0.9218,
        0.919655,
        0.922108,
        0.925836,
        0.926352,
        0.933021,
        0.933998,
        0.929414,
        0.924607,
        0.92945,
        0.937042,
        0.944293,
        0.935847,
        0.93002,
        0.927644,
        0.930463,
        0.932389,
        0.933566,
        0.932749,
        0.925177,
        0.924864,
        0.924665,
        0.922526,
        0.92219,
        0.922809,
        0.923471,
        0.923328,
        0.940308,
        0.938138,
        0.925764,
        0.930831,
        0.917901,
        0.914966,
        0.927047,
        0.930169,
        0.930562,
        0.932653,
        0.939982,
        0.936033,
        0.934006,
        0.933328,
        0.932039,
        0.936938,
        0.935275,
        0.927063,
        0.931597,
        0.932392,
        0.937113,
        0.950955,
        0.94013,
        0.935516,
        0.935687,
        0.938951,
        0.928419,
        0.926962,
        0.934645,
        0.933077,
        0.934288,
        0.935109,
        0.933989,
        0.930494,
        0.936939,
        0.944936,
        0.943825,
        0.944134,
        0.942637,
        0.939805,
        0.93856,
        0.950184,
        0.954157,
        0.943991,
        0.947777,
        0.949448,
        0.95084,
        0.953641,
        0.945922,
        0.950751,
        0.961608,
        0.95819,
        0.960516,
        0.957111,
        0.947947,
        0.959623,
        0.956118,
        0.953018,
        0.96174,
        0.950982,
        0.954653,
        0.96415,
        0.96099,
        0.959717,
        0.959475,
        0.960409,
        0.964442,
        0.973492,
        0.982803,
        0.989127,
        0.963583,
        0.959821,
        0.964051,
        0.957713,
        0.970229,
        0.975129,
        0.974101,
        0.983308,
        0.979758,
        0.972129,
        0.965005,
        0.979328,
        0.982019,
        0.981506,
        0.98561,
        0.985972,
        0.979039,
        0.971907,
        0.983254,
        0.984819,
        0.982662,
        0.980462,
        0.994804,
        0.985197,
        0.980641,
        0.999505,
        0.991601,
        0.991124,
        0.992556,
        0.986408,
        0.990313,
        1.00208,
        1.01618,
        1.00722,
        1.00329,
        1.00198,
        1.00277,
        1.01286,
        1.02026,
        1.02374,
        1.0213,
        1.03031,
        1.02714,
        1.01705,
        1.01755,
        1.01439,
        1.00727,
        0.998558,
        1.00991,
        1.01331,
        1.01391,
        1.01472,
        1.00256,
        1.00577,
        1.01225,
        0.999515,
        1.00151,
        1.00614,
        1.01106,
        1.0131,
        1.01842,
        1.02193,
        1.02126,
        1.01773,
        1.02018,
        1.0218,
        1.01507,
        1.01268,
        1.00841,
        1.00479,
        1.01037,
        1.01466,
        1.01671,
        1.01527,
        1.0019,
        1.00476,
        1.00767,
        0.999477,
        0.999293,
        1.003,
        1.0057,
        0.999409,
        0.99325,
        0.995039,
        1.00337,
        1.00648,
        1.00698,
        1.00459,
        0.999644,
        1.00139,
        1.00036,
        1.00024,
        1.00466,
        0.997719,
        0.995681,
        0.998172,
        1.00245,
        1.00405,
        0.993986,
        0.975756,
        0.982503,
        0.985344,
        0.982834,
        0.973708,
        0.968081,
        0.972822,
        0.977489,
        0.967403,
        0.956925,
        0.957718,
        0.96698,
        0.973504,
        0.970878,
        0.967249,
        0.964932,
        0.964787,
        0.966692,
        0.966923,
        0.962422,
        0.958917,
        0.955526,
        0.95384,
        0.956963,
        0.965004,
        0.97336,
        0.976027,
        0.95093,
        0.94948,
        0.956933,
        0.966982,
        0.959078,
        0.945058,
        0.934118,
        0.935711,
        0.943851,
        0.947681,
        0.946059,
        0.936731,
        0.936806,
        0.94039,
        0.944414,
        0.938451,
        0.942159,
        0.944172,
        0.938679,
        0.937118,
        0.939212,
        0.939198,
        0.929549,
        0.927912,
        0.933121,
        0.940966,
        0.940357,
        0.932991,
        0.931278,
        0.936093,
        0.931628,
        0.924545,
        0.922619,
        0.930194,
        0.927216,
        0.927404,
        0.928552,
        0.927996,
        0.923967,
        0.921406,
        0.923141,
        0.938305,
        0.93948,
        0.935318,
        0.928468,
        0.920548,
        0.923862,
        0.927729,
        0.924765,
        0.924116,
        0.925296,
        0.925628,
        0.920666,
        0.924491,
        0.925018,
        0.921908,
        0.918864,
        0.919309,
        0.922856,
        0.927819,
        0.917128,
        0.929597,
        0.939889,
        0.92981,
        0.929483,
        0.923234,
        0.918829,
        0.929512,
        0.927706,
        0.928192,
        0.931822,
        0.935262,
        0.93912,
        0.939484,
        0.935808,
        0.937196,
        0.937677,
        0.934771,
        0.926323,
        0.932467,
        0.930649,
        0.926671,
        0.930292,
        0.93232,
        0.932042,
        0.931697,
        0.940032,
        0.938852,
        0.93519,
        0.931605,
        0.931898,
        0.940433,
        0.948316,
        0.948941,
        0.950349,
        0.949868,
        0.947707,
        0.944028,
        0.948607,
        0.950846,
        0.952262,
        0.963914,
        0.965608,
        0.964493,
        0.963823,
        0.974421,
        0.974432,
        0.973454,
        0.978557,
        0.974925,
        0.982648,
        0.992154,
        0.986706,
        0.998455,
        1.00583,
        1.00727,
        1.00435,
        0.999857,
        0.998435,
        1.00026,
        0.995891,
        0.998163,
        1.00015,
        0.997707,
        1.00676,
        1.01552,
        1.01812,
        1.00531,
        1.01529,
        1.02272,
        1.02364,
        1.01269,
        1.01572,
        1.02177,
        1.02778,
        1.03278,
        1.03369,
        1.03795,
        1.0492,
        1.05506,
        1.06536,
        1.07667,
        1.08518,
        1.10083,
        1.11313,
        1.12183,
        1.12755,
        1.14568,
        1.16368,
        1.18132,
        1.21471,
        1.23589,
        1.25502,
        1.27609,
        1.29191,
        1.30013,
        1.31432,
        1.34798,
        1.34315,
        1.3451,
        1.35192,
        1.35636,
        1.36642,
        1.37666,
        1.38647,
        1.39751,
        1.37782,
        1.36657,
        1.37369,
        1.35594,
        1.34668,
        1.3372,
        1.32086,
        1.31699,
        1.31497,
        1.31054,
        1.29688,
        1.30577,
        1.31202,
        1.31758,
        1.33649,
        1.34577,
        1.34815,
        1.34591,
        1.35338,
        1.34695,
        1.34119,
        1.34422,
        1.336,
        1.32143,
        1.30708,
        1.30054,
        1.29834,
        1.29188,
        1.27858,
        1.25336,
        1.24808,
        1.23776,
        1.21992,
        1.2032,
        1.19298,
        1.18398,
        1.17409,
        1.1634,
        1.15442,
        1.14793,
        1.14471,
        1.13387,
        1.12087,
        1.10842,
        1.10114,
        1.10139,
        1.10096,
        1.09845,
        1.09269,
        1.07045,
        1.05323,
        1.04659,
        1.04723,
        1.04193,
        1.03436,
        1.02699,
        1.03779,
        1.03375,
        1.02343,
        1.01554,
        1.01129,
        1.01143,
        1.0107,
        0.99796,
        0.992358,
        0.986975,
        0.981772,
        0.982107,
        0.980136,
        0.972009,
        0.957987,
        0.956618,
        0.963579,
        0.969192,
        0.966265,
        0.974264,
        0.970635,
        0.962835,
        0.960366,
        0.96694,
        0.961092,
        0.949225,
        0.951267,
        0.961942,
        0.975435,
        0.986984,
        0.975447,
        0.970944,
        0.973257,
        0.980979,
        0.970817,
        0.954612,
        0.941834,
        0.940543,
        0.950627,
        1.04526,
        1.02326,
        0.992955,
        0.994716,
        0.987989,
        0.956259,
        0.970991,
        0.953905,
        0.936406,
        0.948618,
        0.964955,
        0.994529,
        1.00466,
        0.936797,
        null,
        0.978168,
        1.00294,
        0.972486,
        0.95921,
        0.956474,
        0.961565,
        0.967647,
        0.966802,
        0.965842,
        0.968713,
        0.953715,
        0.95976,
        0.974084,
        0.983,
        0.953948,
        0.93896,
        0.939761,
        0.958104,
        0.969375,
        0.968179,
        0.956093,
        0.939532,
        0.945017,
        0.955029,
        0.962963,
        0.954964,
        0.948714,
        0.947772,
        0.953449,
        0.952727,
        0.941788,
        0.934263,
        0.94197,
        0.943588,
        0.9415,
        0.939954,
        0.945032,
        0.95556,
        0.956174,
        0.950387,
        0.949886,
        0.951729,
        0.955818,
        0.959732,
        0.953487,
        0.957611,
        0.959157,
        0.954873,
        0.956586,
        0.952667,
        0.953108,
        0.962993,
        0.958548,
        0.952996,
        0.951045,
        0.957738,
        0.953949,
        0.953876,
        0.954086,
        0.948001,
        0.954355,
        0.957256,
        0.957199,
        0.960556,
        0.964158,
        0.963487,
        0.960437,
        0.968674,
        0.968829,
        0.965812,
        0.962481,
        0.969575,
        0.965232,
        0.960218,
        0.961411,
        0.973432,
        0.97108,
        0.966108,
        0.970915,
        0.963773,
        0.962004,
        0.964208,
        0.966831,
        0.962357,
        0.959113,
        0.958292,
        0.960715,
        0.968388,
        0.970429,
        0.966994,
        0.971421,
        0.97272,
        0.971799,
        0.968798,
        0.962506,
        0.956152,
        0.956942,
        0.969419,
        0.972656,
        0.972445,
        0.972966,
        0.978632,
        0.987656,
        0.985154,
        0.978249,
        0.979226,
        0.977489,
        0.980748,
        0.985819,
        0.982306,
        0.996049,
        1.00325,
        1.00043,
        0.992906,
        0.996026,
        1.00332,
        1.01117,
        1.00447,
        1.00257,
        1.00384,
        1.0075,
        1.01451,
        1.02448,
        1.02521,
        1.00429,
        0.998741,
        0.999245,
        1.0017,
        1.0003,
        1.00941,
        1.01264,
        1.01295,
        1.02082,
        1.01607,
        1.01086,
        1.00984,
        1.02244,
        1.01795,
        1.01606,
        1.02024,
        1.0189,
        1.01907,
        1.0218,
        1.02636,
        1.01593,
        1.01433,
        1.0134,
        1.00771,
        1.01313,
        1.01238,
        1.00965,
        1.00959,
        1.01088,
        1.01207,
        1.01162,
        1.00666,
        1.00566,
        1.00376,
        1.00239,
        1.00678,
        0.99968,
        0.997826,
        1.00176,
        0.999872,
        1.00239,
        0.999353,
        0.990035,
        0.995379,
        0.997921,
        0.995082,
        0.986128,
        0.981092,
        0.977049,
        0.975316,
        0.977024,
        0.975808,
        0.976682,
        0.974322,
        0.96192,
        0.956038,
        0.955934,
        0.957693,
        0.954408,
        0.948528,
        0.94777,
        0.950016,
        0.947151,
        0.939816,
        0.941536,
        0.952209,
        0.960999,
        0.948858,
        0.937841,
        0.935694,
        0.947714,
        0.944032,
        0.939191,
        0.939935,
        0.936329,
        0.940437,
        0.942746,
        0.936438,
        0.948524,
        0.941863,
        0.933031,
        0.940454,
        0.938199,
        0.9377,
        0.938593,
        0.93968,
        0.934782,
        0.927931,
        0.911827,
        0.915563,
        0.920069,
        0.930561,
        0.921284,
        0.910871,
        0.916402,
        0.923248,
        0.924913,
        0.920192,
        0.907014,
        0.907906,
        0.998637,
        1.0814,
        0.959458,
        0.922965,
        0.917004,
        0.926081,
        0.925268,
        0.924543,
        0.920765,
        0.91619,
        0.922454,
        0.920735,
        0.914743,
        0.908099,
        0.917796,
        0.924573,
        0.925389,
        0.920488,
        0.929442,
        0.92503,
        0.925575,
        0.940812,
        0.933885,
        0.924241,
        0.919569,
        0.926749,
        0.920801,
        0.921262,
        0.92006,
        0.906865,
        0.91638,
        0.921492,
        0.923532,
        0.927048,
        0.924117,
        0.925842,
        0.929529,
        0.92553,
        0.92504,
        0.921259,
        0.916326,
        0.92162,
        0.923204,
        0.919758,
        0.912465,
        0.909686,
        0.915618,
        0.918096,
        0.913438,
        0.910981,
        0.91846,
        0.92232,
        0.916768,
        0.918405,
        0.922669,
        0.923185,
        0.915559,
        0.922514,
        0.924535,
        0.92046,
        0.909021,
        0.917154,
        0.921629,
        0.920048,
        0.909491,
        0.917608,
        0.949638,
        0.953212,
        0.955451,
        0.96312,
        0.979813,
        0.975739,
        0.964895,
        0.959644,
        0.971543,
        0.987584,
        0.988787,
        0.983842,
        0.982268,
        0.992214,
        0.997652,
        0.998384,
        0.994983,
        0.991484,
        0.989911,
        0.988948,
        0.985319,
        0.997132,
        1.01242,
        1.02351,
        1.01279,
        1.00456,
        1.0033,
        1.00527,
        0.99319,
        1.00772,
        1.0224,
        1.02987,
        1.03175,
        1.04299,
        1.04791,
        1.04236,
        1.03822,
        1.04696,
        1.05474,
        1.05467,
        1.05113,
        1.04917,
        1.05133,
        1.05941,
        1.07833,
        1.08986,
        1.0953,
        1.09577,
        1.11562,
        1.13231,
        1.14953,
        1.1713,
        1.17539,
        1.19244,
        1.21594,
        1.23541,
        1.23892,
        1.25212,
        1.27294,
        1.29611,
        1.31807,
        1.32868,
        1.33141,
        1.33668,
        1.38203,
        1.41187,
        1.41766,
        null,
        0.98687,
        0.987942,
        1.00206,
        1.00008,
        1.0014,
        1.00543,
        1.00838,
        0.991655,
        1.01429,
        1.01998,
        1.00898,
        1.02278,
        1.01229,
        1.00287,
        1.00243,
        1.01761,
        0.988471,
        null,
        1.08347,
        1.09073,
        1.10525,
        1.11005,
        1.09327,
        1.06662,
        1.08978,
        1.08403,
        1.07616,
        1.07393,
        1.08374,
        1.08634,
        1.05705,
        1.02546,
        1.02487,
        1.03054,
        1.03739,
        1.04681,
        1.05613,
        1.03967,
        1.05351,
        1.05252,
        1.02958,
        1.01399,
        1.01384,
        0.995814,
        0.977377,
        1.00361,
        1.00661,
        1.00822,
        1.01035,
        1.01375,
        1.01555,
        1.04763,
        1.05923,
        1.02554,
        0.998859,
        0.99928,
        1.00754,
        1.0108,
        0.987423,
        1.01865,
        1.02786,
        1.01893,
        1.02245,
        1.02102,
        1.02091,
        1.0261,
        1.04066,
        1.06634,
        1.06016,
        1.03072,
        0.990998,
        0.997373,
        1.03064,
        1.04742,
        1.03322,
        0.989675,
        0.991349,
        1.01771,
        1.05118,
        1.06541,
        null,
        1.08374,
        1.05257,
        1.05261,
        1.07009,
        1.05568,
        1.06915,
        1.04024,
        1.02172,
        1.06459,
        1.05922,
        1.04354,
        1.04815,
        1.0803,
        1.07329,
        1.07877,
        1.06671,
        1.03968,
        1.03661,
        1.05462,
        1.06331,
        1.06062,
        1.05051,
        1.04814,
        1.05172,
        1.06057,
        1.07303,
        1.0674,
        1.05338,
        1.04318,
        1.04091,
        1.02715,
        1.01309,
        1.01995,
        1.04138,
        1.03515,
        1.01631,
        1.01869,
        1.03424,
        1.04051,
        1.03297,
        1.0268,
        1.01611,
        0.995825,
        1.00382,
        1.0142,
        1.0146,
        1.00242,
        1.00839,
        0.999822,
        0.990782,
        0.988865,
        1.00524,
        0.990953,
        1.00324,
        1.02189,
        0.997568,
        1.00248,
        1.00023,
        0.998748,
        1.00648,
        1.00818,
        1.00076,
        0.992942,
        0.989443,
        0.988586,
        0.983757,
        0.982627,
        0.982232,
        0.96529,
        0.974171,
        0.979451,
        0.978707,
        0.974813,
        0.97919,
        0.982108,
        0.979101,
        0.967104,
        0.965265,
        0.959851,
        0.966356,
        0.98681,
        0.975527,
        0.963095,
        0.959923,
        0.96565,
        0.969372,
        0.967093,
        0.961668,
        0.959457,
        0.970598,
        0.958335,
        0.951686,
        0.953636,
        0.964747,
        0.96671,
        0.961534,
        0.960705,
        0.966297,
        0.94857,
        0.957992,
        0.968952,
        0.969921,
        0.951617,
        0.952394,
        0.956374,
        0.961113,
        0.966962,
        0.962412,
        0.955872,
        0.948579,
        0.941948,
        0.952968,
        0.955372,
        0.95626,
        0.957854,
        0.944643,
        0.9562,
        0.965041,
        0.964732,
        0.964036,
        0.954365,
        0.951283,
        0.950127,
        0.937139,
        0.951901,
        0.956126,
        0.953641,
        0.951293,
        0.955715,
        0.958787,
        0.960524,
        0.960315,
        0.953586,
        0.95725,
        0.96157,
        0.961031,
        0.948367,
        0.953126,
        0.955523,
        0.952939,
        0.94689,
        0.949607,
        0.954471,
        0.951705,
        0.933937,
        0.956808,
        0.953355,
        0.948295,
        0.954295,
        0.946926,
        0.952541,
        0.952611,
        0.945649,
        0.948979,
        0.944717,
        0.950247,
        0.962276,
        0.96851,
        0.939873,
        0.938747,
        0.94649,
        0.939394,
        0.950732,
        0.953004,
        0.952156,
        0.951029,
        0.942974,
        0.937423,
        0.944721,
        0.960926,
        0.957307,
        0.950121,
        0.94548,
        0.942239,
        0.936075,
        0.942412,
        0.942545,
        0.944513,
        0.957565,
        0.956278,
        0.95285,
        0.953981,
        0.961897,
        0.959468,
        0.960312,
        0.958137,
        0.951224,
        0.941169,
        0.942832,
        0.947399,
        0.952082,
        0.954348,
        0.95243,
        0.954583,
        0.958116,
        0.959219,
        0.947992,
        0.943527,
        0.9464,
        0.954714,
        0.950331,
        0.943547,
        0.947523,
        0.959535,
        0.952634,
        0.94232,
        0.938948,
        0.939871,
        0.935931,
        0.937326,
        0.945364,
        0.953049,
        0.952643,
        0.942259,
        1.25745,
        1.35201,
        0.946897,
        0.889503,
        0.910881,
        0.931084,
        0.982079,
        1.30104,
        0.340989,
        0.524942,
        0.77164,
        0.908714,
        0.954647,
        0.95469,
        0.955506,
        0.955691,
        0.959603,
        0.967271,
        0.954374,
        0.943003,
        0.940928,
        0.948218,
        0.951346,
        0.952833,
        0.960429,
        0.969493,
        0.966674,
        0.967797,
        0.966913,
        0.96865,
        0.979122,
        0.966777,
        0.969157,
        0.981227,
        0.996465,
        0.988284,
        0.998713,
        1.00414,
        0.998415,
        0.995671,
        1.00007,
        0.994358,
        0.987087,
        1.00626,
        1.00776,
        1.00599,
        1.00509,
        1.00878,
        1.00684,
        1.00667,
        1.01125,
        1.02074,
        1.01273,
        1.02079,
        1.02566,
        1.02231,
        1.02299,
        1.02249,
        1.0169,
        1.01141,
        1.0197,
        1.02557,
        1.03294,
        1.0371,
        1.03177,
        1.04273,
        1.04245,
        1.03636,
        1.03036,
        1.04303,
        1.04902,
        1.04991,
        1.04866,
        1.05489,
        1.05794,
        1.05428,
        1.05113,
        1.06676,
        1.07771,
        1.08897,
        1.09744,
        1.09872,
        1.1107,
        1.13225,
        1.15262,
        1.16473,
        1.18692,
        1.19342,
        1.20692,
        1.23396,
        1.25887,
        1.26886,
        1.28387,
        1.30302,
        1.31182,
        1.31806,
        1.32406,
        1.33261,
        1.34697,
        1.35122,
        1.35288,
        1.3581,
        1.36975,
        1.35744,
        1.35861,
        1.35852,
        1.35057,
        1.33657,
        1.33409,
        1.32757,
        1.31577,
        1.30531,
        1.29694,
        1.28755,
        1.28242,
        1.28979,
        1.29647,
        1.30695,
        1.31689,
        1.32303,
        1.33284,
        1.33633,
        1.33305,
        1.32732,
        1.34382,
        1.34173,
        1.33473,
        1.32689,
        1.31994,
        1.31872,
        1.31364,
        1.30458,
        1.2932,
        1.29015,
        1.27631,
        1.26132,
        1.25283,
        1.23554,
        1.21742,
        1.20192,
        1.19134,
        1.18879,
        1.18349,
        1.17496,
        1.16597,
        1.16418,
        1.15376,
        1.14149,
        1.13195,
        1.13087,
        1.13816,
        1.1319,
        1.1181,
        1.10392,
        1.09742,
        1.09144,
        1.08617,
        1.08118,
        1.07324,
        1.07025,
        1.0645,
        1.05746,
        1.06009,
        1.05927,
        1.05065,
        1.04001,
        1.03837,
        1.03167,
        1.0308,
        1.0302,
        1.02423,
        1.01629,
        1.01245,
        1.01103,
        1.01048,
        1.00628,
        1.00431,
        1.00665,
        1.01085,
        1.00709,
        0.996922,
        0.991249,
        0.991648,
        0.998334,
        0.994616,
        0.997469,
        0.999712,
        0.993838,
        0.987491,
        0.989935,
        0.988956,
        0.980265,
        0.980642,
        0.986138,
        0.983056,
        0.97357,
        0.979062,
        0.9811,
        0.989573,
        0.994266,
        0.975043,
        0.973748,
        0.973287,
        0.970591,
        0.964228,
        0.975636,
        0.975481,
        0.975072,
        0.978118,
        0.962091,
        0.955012,
        0.96127,
        0.974832,
        0.968253,
        0.965475,
        0.963442,
        0.963748,
        0.970129,
        0.95832,
        0.946407,
        0.943007,
        0.956286,
        0.966374,
        0.970429,
        0.972227,
        0.973515,
        0.968309,
        0.971334,
        0.97684,
        0.980966,
        0.97663,
        0.970032,
        0.961971,
        0.95505,
        0.954248,
        0.966169,
        0.972369,
        0.969832,
        0.957341,
        0.958865,
        0.960317,
        0.958793,
        0.954173,
        0.961779,
        0.967269,
        0.967399,
        0.962775,
        0.960326,
        0.961737,
        0.964195,
        0.965893,
        0.96436,
        0.948945,
        0.944648,
        0.945931,
        0.943373,
        0.95263,
        0.952464,
        0.953169,
        0.960101,
        0.954933,
        0.960116,
        0.964745,
        0.962165,
        0.943762,
        0.94918,
        0.952041,
        0.950618,
        0.953674,
        0.955412,
        0.955296,
        0.956627,
        0.963659,
        0.962319,
        0.954515,
        0.953972,
        0.969415,
        0.982648,
        0.972368,
        0.963737,
        0.963695,
        0.955139,
        0.961631,
        0.964771,
        0.963628,
        0.965261,
        0.968924,
        0.965847,
        0.963674,
        0.973499,
        0.961395,
        0.955712,
        0.95593,
        0.960187,
        0.955251,
        0.954867,
        0.955379,
        0.956341,
        0.963887,
        0.954139,
        0.952756,
        0.95895,
        0.953082,
        0.951045,
        0.953451,
        0.95691,
        0.956408,
        0.951114,
        0.950383,
        0.953671,
        0.960129,
        0.965971,
        0.963858,
        0.960673,
        0.959113,
        0.955844,
        0.960012,
        0.962144,
        0.961211,
        0.960988,
        0.960092,
        0.969306,
        0.980141,
        0.977799,
        0.96666,
        0.965145,
        0.973393,
        0.989169,
        0.983587,
        0.983331,
        0.985323,
        0.987347,
        0.985532,
        0.988975,
        0.991607,
        0.989853,
        0.9786,
        0.982236,
        0.983393,
        0.982555,
        0.984176,
        0.985312,
        0.986365,
        0.990082,
        0.997324,
        0.977885,
        0.975789,
        0.979851,
        0.983814,
        0.988577,
        0.979726,
        0.98256,
        0.996785,
        0.996484,
        0.987527,
        0.990862,
        0.998674,
        0.991371,
        0.992131,
        0.992275,
        0.986967,
        0.972689,
        0.98418,
        0.98622,
        0.988897,
        0.995008,
        0.980762,
        0.987401,
        0.9888,
        0.980163,
        0.972892,
        0.983471,
        0.987353,
        0.983564,
        0.978183,
        0.967957,
        0.963263,
        0.963338,
        0.966393,
        0.963195,
        0.960074,
        0.962436,
        0.970832,
        0.964625,
        0.963151,
        0.966261,
        0.970949,
        0.965875,
        0.96001,
        0.948628,
        0.937568,
        0.94008,
        0.946382,
        0.951094,
        0.953251,
        0.952131,
        0.949651,
        0.937328,
        0.929867,
        0.935717,
        0.940207,
        0.934096,
        0.92829,
        0.927484,
        0.934205,
        0.936109,
        0.934237,
        0.928757,
        0.91949,
        0.925112,
        0.92796,
        0.924015,
        0.910751,
        0.926132,
        0.931244,
        0.930134,
        0.926568,
        0.923123,
        0.917816,
        0.91528,
        0.916896,
        0.920522,
        0.916057,
        0.919236,
        0.923843,
        0.906824,
        0.919968,
        0.919837,
        0.915006,
        0.922786,
        0.917084,
        0.912374,
        0.91275,
        0.919701,
        0.912884,
        0.914592,
        0.918289,
        0.919676,
        0.911009,
        0.922066,
        0.926657,
        0.92183,
        0.91532,
        0.903607,
        0.904997,
        0.909557,
        0.900444,
        0.905126,
        0.906585,
        0.906375,
        0.906125,
        0.906729,
        0.891993,
        0.886265,
        0.897829,
        0.907583,
        0.910714,
        0.904487,
        0.893493,
        0.893266,
        0.903617,
        0.90416,
        0.898601,
        0.896811,
        0.893243,
        0.892717,
        0.893973,
        0.894934,
        0.897255,
        0.896669,
        0.892805,
        0.894982,
        0.900014,
        0.899604,
        0.892037,
        0.897082,
        0.898439,
        0.896488,
        0.889939,
        0.874237,
        0.878056,
        0.882257,
        0.885462,
        0.890641,
        0.897968,
        0.89749,
        0.891884,
        0.884781,
        0.880846,
        0.881238,
        0.881342,
        0.878887,
        0.878633,
        0.88324,
        0.882618,
        0.877121,
        0.880722,
        0.877107,
        0.871796,
        0.872632,
        0.893191,
        0.888222,
        0.880971,
        0.875988,
        0.876246,
        0.877393,
        0.878093,
        0.878098,
        0.87808,
        0.884955,
        0.884101,
        0.886321,
        0.891333,
        0.880141,
        0.882929,
        0.878405,
        0.870768,
        0.878248,
        0.879722,
        0.883691,
        0.885323,
        0.877877,
        0.880228,
        0.879303,
        0.872692,
        0.861008,
        0.871608,
        0.880164,
        0.881768,
        0.878518,
        0.888882,
        0.882523,
        0.873698,
        0.871274,
        0.887931,
        0.876706,
        0.877418,
        0.885339,
        0.889202,
        0.878672,
        0.876503,
        0.876958,
        0.862124,
        0.871346,
        0.881763,
        0.883514,
        0.878199,
        0.877979,
        0.886753,
        0.88284,
        0.87373,
        0.877174,
        0.874522,
        0.877426,
        0.881829,
        0.882771,
        0.869115,
        0.862395,
        0.862637,
        0.869211,
        0.877038,
        0.868517,
        0.872542,
        0.888547,
        0.885522,
        0.877673,
        0.87602,
        0.881176,
        0.891496,
        0.89885,
        0.887959,
        0.874159,
        0.874399,
        0.90885,
        0.889621,
        0.869525,
        0.880397,
        0.9043,
        0.904097,
        0.915985,
        0.944642,
        0.96375,
        0.906328,
        0.889039,
        0.916018,
        0.951737,
        0.958479,
        0.958126,
        0.938833,
        1.00774,
        1.01448,
        0.973587,
        0.924659,
        0.94609,
        0.972549,
        0.980046,
        0.953462,
        0.930519,
        0.930248,
        0.928404,
        0.921218,
        0.944577,
        0.928816,
        0.914486,
        0.913219,
        0.927369
    ],
    "flux_error": [
        0.00337069,
        0.00410038,
        0.00483008,
        0.00555977,
        0.00596016,
        0.00524607,
        0.00531675,
        0.00562442,
        0.00589734,
        0.00661407,
        0.00779729,
        0.00832,
        0.00826017,
        0.00945736,
        0.0103403,
        0.0122576,
        0.0103995,
        0.00927508,
        0.00837759,
        0.00719015,
        0.00718584,
        0.00661978,
        0.00577354,
        0.00541582,
        0.00591985,
        0.00469341,
        0.00392709,
        0.00440536,
        0.00491181,
        0.0049243,
        0.00463137,
        0.00431822,
        0.0041988,
        0.00393736,
        0.00387315,
        0.00388636,
        0.00378723,
        0.00385912,
        0.00442127,
        0.00372944,
        0.00371139,
        0.00399501,
        0.00375947,
        0.00370827,
        0.00374783,
        0.00347338,
        0.00351469,
        0.00345865,
        0.00313688,
        0.00337246,
        0.00334057,
        0.00408589,
        0.0041145,
        0.00344671,
        0.00293806,
        0.00360824,
        0.00384671,
        0.00372161,
        0.00364628,
        0.00365496,
        0.00357569,
        0.0032568,
        0.00339789,
        0.00311601,
        0.00314556,
        0.00345105,
        0.00353682,
        0.00301425,
        0.00358875,
        0.00376689,
        0.00354784,
        0.00330135,
        0.00317564,
        0.00309169,
        0.00292943,
        0.00358969,
        0.00339091,
        0.00321951,
        0.00337878,
        0.00349744,
        0.00268459,
        0.00354551,
        0.00343956,
        0.00344954,
        0.00334769,
        0.00291727,
        0.0031004,
        0.00315987,
        0.00341648,
        0.0032095,
        0.00307707,
        0.00330078,
        0.00324184,
        0.00311895,
        0.00301572,
        0.00315577,
        0.0032784,
        0.00326809,
        0.00328617,
        0.00322567,
        0.00344786,
        0.00342805,
        0.00328923,
        0.0033434,
        0.00374004,
        0.00357646,
        0.00356595,
        0.00332067,
        0.00336336,
        0.00354286,
        0.00333968,
        0.00283745,
        0.00301652,
        0.00310136,
        0.003003,
        0.00297781,
        0.0031717,
        0.00306736,
        0.00305292,
        0.00295088,
        0.00300746,
        0.00306,
        0.00296653,
        0.002933,
        0.00274221,
        0.00317855,
        0.00340799,
        0.00345724,
        0.00332198,
        0.00270946,
        0.00290153,
        0.00294699,
        0.00336026,
        0.00349806,
        0.00317143,
        0.00289704,
        0.00324568,
        0.00333325,
        0.00318902,
        0.00313468,
        0.00327127,
        0.0034839,
        0.00359451,
        0.00348462,
        0.00335841,
        0.00330446,
        0.00331461,
        0.00335895,
        0.00348668,
        0.00355035,
        0.00358164,
        0.00376209,
        0.00392012,
        0.0040035,
        0.00440136,
        0.00377321,
        0.00391986,
        0.00388818,
        0.0040224,
        0.00433957,
        0.00401484,
        0.00369174,
        0.00367619,
        0.00360143,
        0.00354618,
        0.0035905,
        0.00366044,
        0.00326681,
        0.00316803,
        0.00332056,
        0.00352733,
        0.00359505,
        0.00351797,
        0.00383426,
        0.00302175,
        0.0031734,
        0.00345905,
        0.00353359,
        0.00348582,
        0.0034412,
        0.00370682,
        0.00411119,
        0.00414329,
        0.00396684,
        0.00393663,
        0.00426378,
        0.00478205,
        0.00497546,
        0.00577922,
        0.00702377,
        0.00866664,
        0.00941442,
        0.0083895,
        0.00640177,
        0.00571503,
        0.0048711,
        0.00412186,
        0.00434472,
        0.00463456,
        0.00423504,
        0.00384426,
        0.0034559,
        0.00333374,
        0.00344469,
        0.00315209,
        0.00303624,
        0.00337623,
        0.00341086,
        0.00328589,
        0.00329515,
        0.00346498,
        0.00330668,
        0.00357476,
        0.00351374,
        0.00312353,
        0.00284183,
        0.00307907,
        0.00297298,
        0.00319014,
        0.00300379,
        0.00281145,
        0.00277786,
        0.00280333,
        0.00270614,
        0.00242004,
        0.00306034,
        0.00329997,
        0.00301647,
        0.00281058,
        0.00341103,
        0.00311658,
        0.00310671,
        0.0030659,
        0.00305583,
        0.00300745,
        0.00272951,
        0.00319256,
        0.00298911,
        0.00305385,
        0.00315747,
        0.00321661,
        0.00335181,
        0.00346769,
        0.00336852,
        0.00330226,
        0.00321326,
        0.00302584,
        0.00283542,
        0.00306081,
        0.00308488,
        0.00280778,
        0.00296943,
        0.00300452,
        0.00276257,
        0.00336253,
        0.0033582,
        0.00300364,
        0.0029986,
        0.00307835,
        0.00297272,
        0.00274396,
        0.00303675,
        0.00323434,
        0.00288775,
        0.00271568,
        0.00267775,
        0.00246269,
        0.00303122,
        0.00275851,
        0.00281979,
        0.00279663,
        0.00285311,
        0.0030664,
        0.0027965,
        0.00273525,
        0.00287341,
        0.00312767,
        0.00315515,
        0.00283199,
        0.00242521,
        0.00235588,
        0.00276378,
        0.00296926,
        0.00278728,
        0.00260609,
        0.00293372,
        0.0031679,
        0.00325914,
        0.0029098,
        0.00294702,
        0.00319317,
        0.00321789,
        0.00338955,
        0.00273549,
        0.00257764,
        0.00283168,
        0.0029,
        0.00263454,
        0.00269892,
        0.00294127,
        0.00292244,
        0.00283695,
        0.00296322,
        0.00321526,
        0.0031739,
        0.002513,
        0.00325564,
        0.00310922,
        0.00300275,
        0.00309231,
        0.00303997,
        0.00310437,
        0.00281455,
        0.00303259,
        0.00308437,
        0.00305869,
        0.00308502,
        0.00285966,
        0.00290351,
        0.00334842,
        0.00334456,
        0.0033331,
        0.00334655,
        0.00289468,
        0.00317592,
        0.00348619,
        0.00317459,
        0.00276709,
        0.0026469,
        0.00282192,
        0.0029699,
        0.00314199,
        0.00285447,
        0.00272145,
        0.00275484,
        0.00284108,
        0.00308366,
        0.00269135,
        0.00281655,
        0.00300917,
        0.00306759,
        0.0029185,
        0.00266176,
        0.0031365,
        0.00310856,
        0.00313818,
        0.00289286,
        0.00267651,
        0.00292484,
        0.00286119,
        0.00297559,
        0.0034308,
        0.00316098,
        0.00280663,
        0.00300151,
        0.0030362,
        0.00304154,
        0.00272561,
        0.00286949,
        0.00303635,
        0.00291616,
        0.00267628,
        0.0026442,
        0.00280805,
        0.00281929,
        0.00304604,
        0.00322495,
        0.00304216,
        0.00325513,
        0.00337936,
        0.00314727,
        0.00295366,
        0.00333404,
        0.00393089,
        0.00322144,
        0.00280355,
        0.00309814,
        0.00341331,
        0.00336231,
        0.00318813,
        0.0034192,
        0.003355,
        0.00331267,
        0.00325869,
        0.00320742,
        0.00311551,
        0.00302713,
        0.00326922,
        0.00369523,
        0.00327288,
        0.00334499,
        0.00349004,
        0.00321201,
        0.00291479,
        0.00311316,
        0.00334361,
        0.00322567,
        0.00307677,
        0.00302845,
        0.00296266,
        0.00278639,
        0.00273732,
        0.00293002,
        0.00299928,
        0.00314151,
        0.00351201,
        0.00359113,
        0.00318578,
        0.00323684,
        0.00318654,
        0.0030766,
        0.00309218,
        0.0033165,
        0.00331654,
        0.00317664,
        0.00322649,
        0.00352267,
        0.00375707,
        0.00355123,
        0.00292607,
        0.00322422,
        0.00286982,
        0.00292741,
        0.00322565,
        0.00342917,
        0.00380667,
        0.00350471,
        0.00344455,
        0.00329852,
        0.00318194,
        0.00309817,
        0.00290806,
        0.00270104,
        0.00305511,
        0.00312311,
        0.00300491,
        0.00295342,
        0.00306631,
        0.00300329,
        0.00261463,
        0.00306185,
        0.00324835,
        0.00328157,
        0.00334638,
        0.00330406,
        0.00340645,
        0.00284209,
        0.00292233,
        0.0031189,
        0.00337991,
        0.00381469,
        0.00333495,
        0.0031237,
        0.00346489,
        0.00355634,
        0.0037217,
        0.00421463,
        0.0044096,
        0.00411879,
        0.00477758,
        0.00418117,
        0.00340876,
        0.00329326,
        0.00353519,
        0.00332232,
        0.00342382,
        0.00337841,
        0.00358812,
        0.0037931,
        0.003667,
        0.00352467,
        0.00344729,
        0.00377164,
        0.00381351,
        0.00370535,
        0.00350044,
        0.00308414,
        0.00353092,
        0.00386764,
        0.00345578,
        0.00332325,
        0.00352982,
        0.00350379,
        0.00317962,
        0.00353735,
        0.00331833,
        0.00334296,
        0.00335274,
        0.00321113,
        0.003365,
        0.00321297,
        0.00309197,
        0.00303859,
        0.00320312,
        0.00331327,
        0.00310233,
        0.00330943,
        0.0027998,
        0.00293311,
        0.00306627,
        0.00320878,
        0.00345351,
        0.00351953,
        0.00296001,
        0.00325049,
        0.00330439,
        0.00313722,
        0.00330266,
        0.00399219,
        0.00287173,
        0.00293564,
        0.00329816,
        0.00334942,
        0.00335875,
        0.00356203,
        0.0033717,
        0.00320346,
        0.00342478,
        0.00326323,
        0.00320944,
        0.00323882,
        0.00283438,
        0.00321685,
        0.00311252,
        0.00329944,
        0.00366519,
        0.00378212,
        0.0034119,
        0.00295242,
        0.0031381,
        0.0031576,
        0.00333007,
        0.0034728,
        0.0033943,
        0.00316296,
        0.00350833,
        0.00391359,
        0.00350782,
        0.00337078,
        0.0037123,
        0.00402435,
        0.0038393,
        0.00417042,
        0.0043983,
        0.00433752,
        0.00405973,
        0.00376773,
        0.00375331,
        0.00468421,
        0.0046281,
        0.00471338,
        0.00517352,
        0.00572247,
        0.0060534,
        0.006548,
        0.00753467,
        0.00814495,
        0.010398,
        0.0131293,
        0.0137355,
        0.0134088,
        0.0111788,
        0.00814379,
        0.00665627,
        0.00595627,
        0.00537536,
        0.00490418,
        0.00449849,
        0.0043449,
        0.00469991,
        0.00407693,
        0.00450231,
        0.0044193,
        0.00432148,
        0.00423613,
        0.00389996,
        0.0035844,
        0.00432345,
        0.00406904,
        0.00400662,
        0.00389363,
        0.00359984,
        0.00369779,
        0.00416063,
        0.00366746,
        0.00401184,
        0.00368646,
        0.00388649,
        0.00373664,
        0.00372359,
        0.00390673,
        0.0035278,
        0.00337255,
        0.00349196,
        0.00339226,
        0.00318881,
        0.00307676,
        0.00323999,
        0.00378569,
        0.00283592,
        0.003077,
        0.00360037,
        0.00387943,
        0.00365671,
        0.00308494,
        0.00352036,
        0.00323419,
        0.00340493,
        0.00331756,
        0.00299558,
        0.00283325,
        0.00283223,
        0.00326963,
        0.00302454,
        0.00288838,
        0.00317272,
        0.00348194,
        0.00320665,
        0.00333257,
        0.00333831,
        0.00324195,
        0.00366949,
        0.00379403,
        0.00322511,
        0.00364045,
        0.00300247,
        0.00291278,
        0.00271311,
        0.00279468,
        0.00313867,
        0.00328305,
        0.00324862,
        0.00406889,
        0.00331483,
        0.00291632,
        0.00306669,
        0.00325189,
        0.00333231,
        0.00341882,
        0.0033432,
        0.00324974,
        0.00307981,
        0.00303678,
        0.00324631,
        0.00296683,
        0.00313392,
        0.00261425,
        0.00247144,
        0.00287056,
        0.0033799,
        0.00343351,
        0.00364072,
        0.0034895,
        0.00366792,
        0.00381278,
        0.00347154,
        0.00276146,
        0.00298209,
        0.00320749,
        0.00326764,
        0.0033929,
        0.00333765,
        0.00323827,
        0.00358066,
        0.00359771,
        0.00326769,
        0.00285612,
        0.00296894,
        0.00315133,
        0.00298289,
        0.00317583,
        0.00305419,
        0.0028521,
        0.00289781,
        0.00288335,
        0.00279827,
        0.00290525,
        0.00282161,
        0.00257591,
        0.00290283,
        0.00284107,
        0.00265587,
        0.00276191,
        0.00286518,
        0.00290588,
        0.00352103,
        0.00324651,
        0.00290118,
        0.00288122,
        0.00302427,
        0.00334278,
        0.00338599,
        0.0031425,
        0.00314458,
        0.00331309,
        0.00330954,
        0.00295084,
        0.00325465,
        0.00381642,
        0.00384989,
        0.00390464,
        0.00398013,
        0.00394169,
        0.00377136,
        0.00391041,
        0.00390439,
        0.00415787,
        0.00424684,
        0.00428561,
        0.00429757,
        0.00401346,
        0.00420264,
        0.00437899,
        0.00433339,
        0.00444107,
        0.00443172,
        0.00444554,
        0.00451211,
        0.00430909,
        0.00439465,
        0.00477556,
        0.00499887,
        0.00505655,
        0.005147,
        0.00497755,
        0.00497043,
        0.00509148,
        0.00518639,
        0.00522899,
        0.00517604,
        0.00516875,
        0.00543573,
        0.00542927,
        0.00572958,
        0.00620272,
        0.00648951,
        0.00686716,
        0.00716053,
        0.00804409,
        0.00888307,
        0.0103339,
        0.0126415,
        0.0150134,
        0.0167625,
        0.0140419,
        0.0123896,
        0.010859,
        0.00817668,
        0.00747384,
        0.0069939,
        0.00649108,
        0.0059834,
        0.00553327,
        0.0051827,
        0.00502709,
        0.00498905,
        0.00474275,
        0.00447081,
        0.00456193,
        0.0044644,
        0.00424437,
        0.00422651,
        0.00422041,
        0.00414525,
        0.0041421,
        0.00412357,
        0.00395404,
        0.00379493,
        0.0038397,
        0.00380883,
        0.00370365,
        0.00354591,
        0.0035402,
        0.00352511,
        0.00374459,
        0.00367878,
        0.00362025,
        0.00350681,
        0.00359902,
        0.00374398,
        0.00366478,
        0.00342038,
        0.00346511,
        0.00350322,
        0.00345472,
        0.00341182,
        0.00338068,
        0.00342206,
        0.00357646,
        0.00366093,
        0.00360412,
        0.00362793,
        0.00363072,
        0.00347365,
        0.00337995,
        0.00339675,
        0.00355121,
        0.00360881,
        0.0035498,
        0.00361138,
        0.00368721,
        0.00387532,
        0.00373246,
        0.00371988,
        0.00390641,
        0.00400578,
        0.0041573,
        0.00407774,
        0.00398936,
        0.00407396,
        0.00428248,
        0.00438714,
        0.00434949,
        0.00441208,
        0.004354,
        0.00406692,
        0.00396725,
        0.00392857,
        0.00378777,
        0.00368722,
        0.00375241,
        0.00350591,
        0.00347849,
        0.00334349,
        0.00328182,
        0.00342289,
        0.00331734,
        0.00347651,
        0.0032828,
        0.00326333,
        0.00322287,
        0.00331724,
        0.00317996,
        0.00324049,
        0.00331395,
        0.00326025,
        0.00321822,
        0.00343708,
        0.00334799,
        0.00326758,
        0.00311549,
        0.00325819,
        0.00349104,
        0.00337687,
        0.00340182,
        0.00337806,
        0.00333967,
        0.0035944,
        0.00332439,
        0.00333604,
        0.00347541,
        0.00339566,
        0.00334272,
        0.0032567,
        0.00323152,
        0.0032566,
        0.00331349,
        0.00327215,
        0.0033229,
        0.00327907,
        0.00338112,
        0.00318924,
        0.0032171,
        0.00328019,
        0.00322849,
        0.00303402,
        0.00310519,
        0.00318281,
        0.00325986,
        0.00339885,
        0.00315306,
        0.00313573,
        0.0031141,
        0.00299368,
        0.00303844,
        0.00310242,
        0.00323285,
        0.00316384,
        0.00323688,
        0.00318203,
        0.00323647,
        0.00336306,
        0.00329518,
        0.00320292,
        0.00311041,
        0.00311102,
        0.00318354,
        0.00325528,
        0.00319247,
        0.00316821,
        0.00323502,
        0.0033214,
        0.0034023,
        0.00330395,
        0.00326601,
        0.00325815,
        0.00328804,
        0.00337073,
        0.00333426,
        0.00320038,
        0.0031265,
        0.00309847,
        0.00313707,
        0.0031724,
        0.00319308,
        0.00318407,
        0.0031698,
        0.00330446,
        0.00305915,
        0.00299614,
        0.00307113,
        0.00313684,
        0.00314292,
        0.0031578,
        0.00323206,
        0.00318888,
        0.00319947,
        0.00311565,
        0.00295875,
        0.00305659,
        0.00288718,
        0.00287496,
        0.00294263,
        0.00290358,
        0.00292199,
        0.00300918,
        0.00302864,
        0.00298752,
        0.00308943,
        0.00307383,
        0.0031192,
        0.0030979,
        0.0030116,
        0.00287696,
        0.00296665,
        0.00302972,
        0.00304891,
        0.00295696,
        0.00302445,
        0.00316669,
        0.00302052,
        0.00304068,
        0.00307937,
        0.00294313,
        0.00290138,
        0.00291698,
        0.00280435,
        0.00298743,
        0.00302167,
        0.0029626,
        0.00290879,
        0.0028688,
        0.0030893,
        0.0029234,
        0.00308051,
        0.00321483,
        0.00319625,
        0.00320577,
        0.00305632,
        0.00305046,
        0.00306145,
        0.00307981,
        0.00295414,
        0.00295406,
        0.0029898,
        0.00303394,
        0.00316732,
        0.00317866,
        0.00306776,
        0.0031878,
        0.00308567,
        0.00304043,
        0.00310713,
        0.0031388,
        0.00305497,
        0.00294636,
        0.0030471,
        0.00301469,
        0.00303166,
        0.00329321,
        0.00329464,
        0.0031808,
        0.003001,
        0.00290145,
        0.00301363,
        0.00294017,
        0.00269858,
        0.00284637,
        0.00289047,
        0.00293192,
        0.00291779,
        0.00298523,
        0.00305105,
        0.00290772,
        0.00285546,
        0.00279008,
        0.00286707,
        0.0030162,
        0.00299288,
        0.00306494,
        0.00302109,
        0.00297653,
        0.00285405,
        0.00280536,
        0.00290134,
        0.00283204,
        0.00281958,
        0.00289317,
        0.00284977,
        0.00286118,
        0.00294009,
        0.00297971,
        0.00284566,
        0.00284492,
        0.00309812,
        0.00312643,
        0.00293874,
        0.00290641,
        0.0028152,
        0.00282224,
        0.00282642,
        0.0029738,
        0.00305693,
        0.00311143,
        0.0029918,
        0.00301298,
        0.00315628,
        0.00299603,
        0.00300369,
        0.00308119,
        0.00323204,
        0.00310131,
        0.00307386,
        0.00296795,
        0.00292633,
        0.00299675,
        0.00291914,
        0.00278461,
        0.00269508,
        0.00282756,
        0.00299394,
        0.00304048,
        0.00309978,
        0.00306305,
        0.00305047,
        0.00309603,
        0.00316833,
        0.00309407,
        0.00304394,
        0.00301463,
        0.00297469,
        0.00290208,
        0.00305234,
        0.00314853,
        0.00296278,
        0.0030425,
        0.00305595,
        0.00288834,
        0.0029567,
        0.00295502,
        0.00282479,
        0.00285239,
        0.00297036,
        0.00305679,
        0.00307452,
        0.00315963,
        0.00321475,
        0.00291039,
        0.00288087,
        0.00297108,
        0.00309735,
        0.00309801,
        0.00320325,
        0.00313155,
        0.00310134,
        0.00294616,
        0.0031064,
        0.00327324,
        0.00314181,
        0.00327313,
        0.00324177,
        0.00326488,
        0.00310882,
        0.003148,
        0.00316077,
        0.00299903,
        0.0031096,
        0.00331545,
        0.00347924,
        0.00352423,
        0.00362707,
        0.00359831,
        0.00341728,
        0.00343581,
        0.00343326,
        0.00337453,
        0.00331071,
        0.00324586,
        0.00311371,
        0.00298552,
        0.00283525,
        0.00288201,
        0.00317049,
        0.00311148,
        0.00298692,
        0.00299867,
        0.00283337,
        0.00290499,
        0.00300844,
        0.00312478,
        0.00318912,
        0.00320751,
        0.00315805,
        0.00304155,
        0.00313698,
        0.00330672,
        0.00324384,
        0.00307607,
        0.00307991,
        0.00310756,
        0.00308256,
        0.00291385,
        0.00301375,
        0.0030458,
        0.00296362,
        0.00290342,
        0.00294862,
        0.00301076,
        0.00309839,
        0.00303223,
        0.00302368,
        0.00314934,
        0.00316958,
        0.00307652,
        0.00317214,
        0.00312395,
        0.0030605,
        0.00305762,
        0.00313437,
        0.00323735,
        0.00310377,
        0.00323865,
        0.00307223,
        0.0030613,
        0.0031629,
        0.00316018,
        0.0031627,
        0.00307684,
        0.00316178,
        0.00296901,
        0.00304183,
        0.00324041,
        0.00324613,
        0.00306886,
        0.00310015,
        0.0031577,
        0.00318932,
        0.00330007,
        0.00324639,
        0.00310153,
        0.00300213,
        0.00299472,
        0.00320428,
        0.00324121,
        0.00318446,
        0.00333399,
        0.00341805,
        0.00342925,
        0.00352192,
        0.00345806,
        0.0034705,
        0.00343124,
        0.00344845,
        0.00345037,
        0.00324093,
        0.00323105,
        0.00329182,
        0.00326958,
        0.00336265,
        0.00341712,
        0.00333351,
        0.0031044,
        0.00337859,
        0.00347691,
        0.00343964,
        0.00348946,
        0.0034492,
        0.00326346,
        0.00336145,
        0.00343654,
        0.00333707,
        0.00328778,
        0.00332403,
        0.00336155,
        0.00356534,
        0.00366796,
        0.00358894,
        0.00355457,
        0.00359315,
        0.00349113,
        0.00334437,
        0.00327063,
        0.00329527,
        0.00349584,
        0.00371475,
        0.00353818,
        0.00348846,
        0.00344907,
        0.00339485,
        0.00333372,
        0.0032904,
        0.00334028,
        0.00332634,
        0.00338602,
        0.0033755,
        0.00333336,
        0.00344112,
        0.00349604,
        0.00345971,
        0.00351451,
        0.00361541,
        0.0035652,
        0.00349159,
        0.00365989,
        0.00372729,
        0.0038195,
        0.00350498,
        0.00334552,
        0.00345698,
        0.00334324,
        0.00344775,
        0.00355789,
        0.0036012,
        0.00361719,
        0.00358303,
        0.00345766,
        0.00354788,
        0.00355746,
        0.00365808,
        0.0036319,
        0.00347853,
        0.00361259,
        0.00381523,
        0.00372513,
        0.00349481,
        0.0037414,
        0.00375552,
        0.00359744,
        0.00358602,
        0.00356688,
        0.00368544,
        0.003545,
        0.00345063,
        0.00347187,
        0.00345536,
        0.00342841,
        0.00356727,
        0.00354762,
        0.00357917,
        0.00362674,
        0.00361323,
        0.00356811,
        0.00353167,
        0.00350059,
        0.00355407,
        0.00344065,
        0.00344254,
        0.0036739,
        0.00374163,
        0.00367697,
        0.0036967,
        0.0036408,
        0.00372316,
        0.00364431,
        0.00351881,
        0.003576,
        0.00367868,
        0.00392374,
        0.00375516,
        0.00370113,
        0.00386969,
        0.00374452,
        0.0036478,
        0.00355149,
        0.00389894,
        0.00338234,
        0.00301859,
        0.00373513,
        0.00423723,
        0.00339171,
        0.00297225,
        0.00337287,
        0.00380265,
        0.00346864,
        0.00366822,
        0.00357008,
        0.00355226,
        0.00352926,
        0.00337498,
        0.00362162,
        0.00373427,
        0.00379997,
        0.00370055,
        0.00354087,
        0.00350302,
        0.00356615,
        0.00384275,
        0.00393293,
        0.00385822,
        0.00358808,
        0.00363284,
        0.0035588,
        0.00359281,
        0.00376672,
        0.00370976,
        0.0036513,
        0.00364638,
        0.00376067,
        0.00365401,
        0.00373368,
        0.00394879,
        0.00399317,
        0.0040052,
        0.00404193,
        0.00385835,
        0.00386426,
        0.00393171,
        0.00379131,
        0.00375216,
        0.00365193,
        0.00376786,
        0.00366879,
        0.00390948,
        0.00383127,
        0.00359908,
        0.00365496,
        0.00387124,
        0.00406612,
        0.00398437,
        0.00388269,
        0.00414945,
        0.0040669,
        0.0042542,
        0.00419955,
        0.00398813,
        0.00400064,
        0.00437907,
        0.00480004,
        0.00473666,
        0.00501583,
        0.00538907,
        0.00590105,
        0.00583736,
        0.00526587,
        0.0052999,
        0.00513037,
        0.00486293,
        0.00440223,
        0.00423928,
        0.00433388,
        0.00420931,
        0.00440711,
        0.00430901,
        0.00425156,
        0.00405854,
        0.00405994,
        0.00437667,
        0.00434959,
        0.00453942,
        0.00420329,
        0.00420428,
        0.00401904,
        0.00405671,
        0.00426507,
        0.00452115,
        0.00498855,
        0.00498779,
        0.00510125,
        0.00561662,
        0.00624242,
        0.0061817,
        0.00664728,
        0.00736239,
        0.00898612,
        0.0109532,
        0.0126438,
        0.0158855,
        0.0152151,
        0.0121141,
        0.00988655,
        0.0087586,
        0.00739919,
        0.00605397,
        0.00594867,
        0.00578529,
        0.00532162,
        0.00517291,
        0.00489778,
        0.00495372,
        0.00497281,
        0.00454339,
        0.00451797,
        0.00456114,
        0.00458219,
        0.00435339,
        0.00410474,
        0.0042304,
        0.00396195,
        0.00393527,
        0.00363224,
        0.00369032,
        0.00357457,
        0.00353595,
        0.0036463,
        0.00357989,
        0.00343719,
        0.00368245,
        0.00374566,
        0.00356767,
        0.00336926,
        0.00331955,
        0.00327766,
        0.00331562,
        0.0030351,
        0.00318606,
        0.00350276,
        0.00347593,
        0.00357959,
        0.00335781,
        0.00324614,
        0.00327649,
        0.00310837,
        0.00315767,
        0.00334498,
        0.00320077,
        0.00326991,
        0.00344544,
        0.00352336,
        0.00335711,
        0.00334337,
        0.00327639,
        0.00297488,
        0.00314332,
        0.00322178,
        0.00324551,
        0.00316065,
        0.00314109,
        0.00316405,
        0.00312328,
        0.00315944,
        0.00319916,
        0.00324165,
        0.00321478,
        0.0033135,
        0.00307871,
        0.00301976,
        0.00308572,
        0.00310526,
        0.00306261,
        0.00290616,
        0.00296753,
        0.00309798,
        0.00307627,
        0.0029952,
        0.00295476,
        0.0030755,
        0.00338821,
        0.00323937,
        0.00283847,
        0.00301124,
        0.00292103,
        0.00294771,
        0.0030427,
        0.00313275,
        0.00316162,
        0.00310405,
        0.00310496,
        0.00332281,
        0.00329968,
        0.00326874,
        0.00332383,
        0.00317793,
        0.00321505,
        0.00334919,
        0.00339703,
        0.00333851,
        0.00340449,
        0.0033311,
        0.00321475,
        0.00330421,
        0.00351772,
        0.00347398,
        0.00357316,
        0.00375616,
        0.00373408,
        0.00406048,
        0.00399962,
        0.00448898,
        0.00504358,
        0.00541649,
        0.00547466,
        0.0061071,
        0.00738962,
        0.00878996,
        0.00989373,
        0.00975944,
        0.0090912,
        0.00865687,
        0.00763782,
        0.00668866,
        0.00576021,
        0.00506211,
        0.00481003,
        0.00435914,
        0.00408605,
        0.00379166,
        0.00362349,
        0.0035495,
        0.00373799,
        0.00368489,
        0.00351594,
        0.00331239,
        0.00326954,
        0.00322126,
        0.00324424,
        0.00334984,
        0.00325241,
        0.00315638,
        0.00319392,
        0.0029886,
        0.00305501,
        0.00334224,
        0.00333347,
        0.00329121,
        0.00336866,
        0.00331817,
        0.0032091,
        0.00312888,
        0.00307724,
        0.00329465,
        0.0031191,
        0.00310041,
        0.00309699,
        0.00321817,
        0.00304925,
        0.00294711,
        0.00297056,
        0.00302962,
        0.00301679,
        0.00318788,
        0.00316783,
        0.00323278,
        0.00327845,
        0.00315177,
        0.00310584,
        0.00305168,
        0.00307286,
        0.00322506,
        0.00337215,
        0.00325977,
        0.00301501,
        0.00312179,
        0.00334578,
        0.00336429,
        0.00350152,
        0.00335068,
        0.00332021,
        0.00333564,
        0.0033141,
        0.00354717,
        0.00353962,
        0.00352457,
        0.00355168,
        0.00367342,
        0.00367889,
        0.00368327,
        0.00375131,
        0.00350077,
        0.00351223,
        0.00369867,
        0.00370983,
        0.00390915,
        0.00382861,
        0.00382157,
        0.00404772,
        0.00400079,
        0.00404531,
        0.00441096,
        0.00446002,
        0.00463957,
        0.0048221,
        0.00496721,
        0.00536222,
        0.0057832,
        0.00583801,
        0.00588264,
        0.0062942,
        0.00676608,
        0.00700147,
        0.00758825,
        0.00796982,
        0.0089823,
        0.0103701,
        0.0121039,
        0.0135376,
        0.0157815,
        0.0126621,
        0.0123054,
        0.0111137,
        0.00955831,
        0.00844613,
        0.00778558,
        0.00717908,
        0.00612195,
        0.00566793,
        0.00539006,
        0.00504024,
        0.00491865,
        0.00470808,
        0.00445048,
        0.00426785,
        0.00378644,
        0.00407428,
        0.00419814,
        0.00393074,
        0.00393862,
        0.00400666,
        0.00381262,
        0.00368286,
        0.0038331,
        0.00390913,
        0.00402063,
        0.00383183,
        0.00369465,
        0.00384262,
        0.00378674,
        0.00380069,
        0.00377417,
        0.00371758,
        0.00363539,
        0.00371458,
        0.00390281,
        0.0038467,
        0.00369906,
        0.00370818,
        0.00384683,
        0.00378382,
        0.00385758,
        0.00393894,
        0.00366645,
        0.00369055,
        0.00388243,
        0.00417403,
        0.00427912,
        0.00420044,
        0.00424031,
        0.00419856,
        0.0044918,
        0.0049857,
        0.00511672,
        0.00519667,
        0.00530288,
        0.00521296,
        0.00484391,
        0.00470051,
        0.00470519,
        0.00448494,
        0.00456429,
        0.00438763,
        0.00414339,
        0.00400369,
        0.00388383,
        0.00387687,
        0.00388042,
        0.00391616,
        0.00386938,
        0.00380931,
        0.00375713,
        0.00375942,
        0.00385774,
        0.00385913,
        0.0039369,
        0.00403486,
        0.00389008,
        0.00374201,
        0.00379711,
        0.0037029,
        0.00390139,
        0.00410238,
        0.00407362,
        0.00405438,
        0.00418505,
        0.00419704,
        0.00458987,
        0.00460069,
        0.00469257,
        0.004766,
        0.0047215,
        0.00475269,
        0.00498872,
        0.00517153,
        0.00510081,
        0.00602922,
        0.00614401,
        0.00647904,
        0.00727714,
        0.00831727,
        0.0090269,
        0.0102014,
        0.0120582,
        0.0136674,
        0.0136808,
        0.0162815,
        0.0146588,
        0.0127284,
        0.0123538,
        0.0104618,
        0.0087745,
        0.00784794,
        0.00740905,
        0.00691559,
        0.00675278,
        0.00620599,
        0.0059026,
        0.0054219,
        0.00509398,
        0.0050255,
        0.00505503,
        0.00470465,
        0.00479928,
        0.00471077,
        0.00469991,
        0.00464763,
        0.00458414,
        0.00454205,
        0.00457756,
        0.0042778,
        0.00424509,
        0.00430303,
        0.00424202,
        0.00406884,
        0.0042342,
        0.00415213,
        0.00415106,
        0.00385041,
        0.00383143,
        0.00366897,
        0.00396571,
        0.0042294,
        0.00439342,
        0.00420047,
        0.00436631,
        0.00432526,
        0.00422611,
        0.00422132,
        0.0043585,
        0.00474835,
        0.00485395,
        0.00472769,
        0.00514389,
        0.00562371,
        0.00599818,
        0.00648899,
        0.00773563,
        0.00770776,
        0.00867473,
        0.0110843,
        0.0153519,
        0.012133,
        0.00928618,
        0.00759368,
        0.00663573,
        0.00573683,
        0.00500464,
        0.00484044,
        0.00464669,
        0.00429022,
        0.00440425,
        0.00420299,
        0.00392689,
        0.00389352,
        0.00399113,
        0.00381012,
        0.00345028,
        0.00336783,
        0.0034107,
        0.00332579,
        0.00327543,
        0.00339982,
        0.00329847,
        0.00337757,
        0.00349147,
        0.00339249,
        0.00321273,
        0.0033001,
        0.00345727,
        0.00320895,
        0.0033924,
        0.0032308,
        0.00335871,
        0.00336311,
        0.00328352,
        0.00333898,
        0.00322224,
        0.00311557,
        0.00316438,
        0.00319401,
        0.00325548,
        0.00310622,
        0.00302746,
        0.00316586,
        0.00326442,
        0.00336094,
        0.00309514,
        0.00297486,
        0.00310977,
        0.00317269,
        0.00318832,
        0.00311593,
        0.00295719,
        0.00289894,
        0.00289896,
        0.00295916,
        0.00318773,
        0.00318703,
        0.00277544,
        0.00252278,
        0.00236819,
        0.00251019,
        0.00271672,
        0.00282522,
        0.00270129,
        0.00259045,
        0.00258451,
        0.00231922,
        0.00263372,
        0.00268868,
        0.0029232,
        0.00283799,
        0.00245456,
        0.00251796,
        0.00291725,
        0.00231144,
        0.00248946,
        0.0027009,
        0.00275099,
        0.00266576,
        0.00287717,
        0.00295342,
        0.00255102,
        0.00247108,
        0.00267571,
        0.00277219,
        0.0030925,
        0.00306181,
        0.00295161,
        0.00273465,
        0.00248431,
        0.00288541,
        0.00258899,
        0.00262547,
        0.00263295,
        0.00253382,
        0.00255186,
        0.00266375,
        0.00270552,
        0.00274036,
        0.00316265,
        0.0030764,
        0.00293591,
        0.00285817,
        0.00288507,
        0.00303384,
        0.00309957,
        0.00272309,
        0.00292176,
        0.00308937,
        0.00279839,
        0.00276214,
        0.00276052,
        0.00279143,
        0.00292898,
        0.00288986,
        0.00289478,
        0.00258419,
        0.00259924,
        0.00287049,
        0.00292089,
        0.00284869,
        0.00290848,
        0.00290862,
        0.0029291,
        0.0028504,
        0.00297568,
        0.00309307,
        0.00273469,
        0.00248355,
        0.00278756,
        0.0028741,
        0.00348289,
        0.00290115,
        0.00296203,
        0.00313989,
        0.00300643,
        0.00280405,
        0.00274368,
        0.00253814,
        0.00285951,
        0.00282479,
        0.00308777,
        0.00268634,
        0.00355839,
        0.00283251,
        0.00251976,
        0.00296516,
        0.00313125,
        0.00262332,
        0.00251806,
        0.00298288,
        0.00264837,
        0.0026647,
        0.00282017,
        0.00306119,
        0.00311224,
        0.00292361,
        0.00272905,
        0.00255238,
        0.0028858,
        0.00325173,
        0.00312218,
        0.00306855,
        0.00288024,
        0.0026947,
        0.00293215,
        0.00290453,
        0.00288658,
        0.00297171,
        0.0026917,
        0.00285071,
        0.00290579,
        0.00278371,
        0.00290281,
        0.00274377,
        0.00248232,
        0.00263921,
        0.00283211,
        0.00289884,
        0.00278138,
        0.00270045,
        0.00285568,
        0.00307109,
        0.00322357,
        0.00268094,
        0.00298726,
        0.00300818,
        0.00299016,
        0.00307213,
        0.00290486,
        0.00237986,
        0.00292566,
        0.00280759,
        0.00261618,
        0.00282657,
        0.00279196,
        0.00259689,
        0.00263527,
        0.00286412,
        0.00298149,
        0.00308276,
        0.00299605,
        0.00309159,
        0.00330594,
        0.00324572,
        0.00297087,
        0.00292014,
        0.00294207,
        0.00358106,
        0.00262725,
        0.0026054,
        0.00279729,
        0.00292412,
        0.00292164,
        0.00278544,
        0.00288788,
        0.00366189,
        0.00321437,
        0.00306188,
        0.0029741,
        0.0028748,
        0.00291065,
        0.00308396,
        0.00308646,
        0.00313481,
        0.00281027,
        0.0029733,
        0.00331954,
        0.00309886,
        0.00300763,
        0.00307919,
        0.00302935,
        0.00321406,
        0.00318792,
        0.00300955,
        0.00293604,
        0.00298513,
        0.0029242,
        0.00286928,
        0.00259174,
        0.0028118,
        0.00291484,
        0.00296997,
        0.00304091,
        0.00310972,
        0.00330318,
        0.00267025,
        0.00311857,
        0.00288958,
        0.0034395,
        0.00303005,
        0.00273563,
        0.00328418,
        0.00363265,
        0.00321731,
        0.00342737,
        0.0030135,
        0.0031798,
        0.00319945,
        0.00323367,
        0.00347671,
        0.00319528,
        0.00281927,
        0.00319444,
        0.00416109,
        0.00354078,
        0.00310922,
        0.0030363,
        0.0028543,
        0.00277247,
        0.00314762,
        0.00317943,
        0.00334857,
        0.0031938,
        0.00309421,
        0.00307521,
        0.00298064,
        0.00286685,
        0.00306446,
        0.00327542,
        0.00340085,
        0.00336356,
        0.0029918,
        0.00287546,
        0.00279186,
        0.0028049,
        0.00320777,
        0.00253132,
        0.00279509,
        0.00294618,
        0.00277219,
        0.00282206,
        0.0028022,
        0.00278659,
        0.00301262,
        0.00305175,
        0.00335555,
        0.00315639,
        0.00290247,
        0.00302199,
        0.00296243,
        0.00290961,
        0.00300632,
        0.00285664,
        0.00285854,
        0.00301931,
        0.0030013,
        0.00322479,
        0.00339716,
        0.00322441,
        0.00316436,
        0.00344965,
        0.00303208,
        0.00302038,
        0.00293819,
        0.00267235,
        0.00303998,
        0.00307741,
        0.00289697,
        0.00299498,
        0.0031025,
        0.0029588,
        0.00271617,
        0.00289883,
        0.00290314,
        0.00286873,
        0.00305874,
        0.0034082,
        0.00352726,
        0.00314624,
        0.00275261,
        0.0026708,
        0.00262302,
        0.00235911,
        0.00285821,
        0.00316646,
        0.00275704,
        0.00273615,
        0.00255868,
        0.00279066,
        0.00277575,
        0.00293397,
        0.00318478,
        0.00316494,
        0.00293487,
        0.00283341,
        0.00284839,
        0.00270167,
        0.00303175,
        0.00283574,
        0.00286263,
        0.00285326,
        0.00282546,
        0.00294868,
        0.00309648,
        0.00285566,
        0.00259,
        0.00280832,
        0.00274939,
        0.00300032,
        0.00307892,
        0.00296646,
        0.002924,
        0.00275429,
        0.00285257,
        0.0033265,
        0.00293831,
        0.00320856,
        0.00333751,
        0.00224914,
        0.00312211,
        0.00320107,
        0.0032838,
        0.00336543,
        0.00338162,
        0.0036074,
        0.00353653,
        0.0033275,
        0.00327854,
        0.00340243,
        0.00347224,
        0.00341725,
        0.00348911,
        0.00385224,
        0.00405263,
        0.00412104,
        0.00423665,
        0.00453727,
        0.00476669,
        0.00486138,
        0.00510331,
        0.00537181,
        0.00581896,
        0.00649167,
        0.00681231,
        0.00737153,
        0.00867766,
        0.00910264,
        0.012356,
        0.017801,
        0.0112592,
        0.00861391,
        0.00748017,
        0.00657997,
        0.00573027,
        0.00524018,
        0.00489056,
        0.00459349,
        0.00466837,
        0.00417971,
        0.00405145,
        0.00454927,
        0.00440176,
        0.00435782,
        0.00460486,
        0.00463036,
        0.00426747,
        0.00408909,
        0.00378423,
        0.00369094,
        0.00359796,
        0.0034102,
        0.00360041,
        0.00368815,
        0.00353058,
        0.00353291,
        0.00356052,
        0.00334277,
        0.00346946,
        0.0036231,
        0.00388867,
        0.00373301,
        0.00356198,
        0.00342628,
        0.00331715,
        0.00326592,
        0.00353077,
        0.00336536,
        0.00301051,
        0.00315655,
        0.00332348,
        0.00328752,
        0.00317706,
        0.00329679,
        0.0035272,
        0.00343768,
        0.00348614,
        0.00348467,
        0.0034041,
        0.00336442,
        0.00340176,
        0.00324655,
        0.00313339,
        0.00320601,
        0.0033827,
        0.00359092,
        0.0035982,
        0.00346556,
        0.00336926,
        0.00333402,
        0.00337263,
        0.00357348,
        0.00364207,
        0.00369824,
        0.00361809,
        0.00358773,
        0.00371937,
        0.00366302,
        0.00355522,
        0.00363665,
        0.00375349,
        0.00390499,
        0.00390766,
        0.00386153,
        0.0039642,
        0.00391088,
        0.00373157,
        0.00361812,
        0.00329919,
        0.00323763,
        0.00324259,
        0.00334002,
        0.00340775,
        0.00343072,
        0.00331385,
        0.00339745,
        0.00340147,
        0.00349382,
        0.00364546,
        0.00348613,
        0.00350989,
        0.00347117,
        0.00335847,
        0.00325273,
        0.00322898,
        0.00327079,
        0.0031569,
        0.00315319,
        0.00318479,
        0.00325755,
        0.00340686,
        0.00350111,
        0.00340605,
        0.00334206,
        0.00329457,
        0.00327444,
        0.00324286,
        0.00333785,
        0.00354823,
        0.00346437,
        0.00329887,
        0.00333051,
        0.00338021,
        0.00343584,
        0.00338522,
        0.0037156,
        0.00387845,
        0.00365225,
        0.0033915,
        0.00325558,
        0.00324921,
        0.00324544,
        0.00328696,
        0.00326457,
        0.00317003,
        0.00326495,
        0.00312277,
        0.00319686,
        0.00333904,
        0.00332948,
        0.00330063,
        0.00334566,
        0.00335512,
        0.00326685,
        0.00331148,
        0.00307421,
        0.00306396,
        0.00311685,
        0.00311675,
        0.00327735,
        0.0032898,
        0.00328081,
        0.00329135,
        0.00333294,
        0.00347997,
        0.00386587,
        0.00366939,
        0.00339224,
        0.00333505,
        0.00338678,
        0.0037415,
        0.00418044,
        0.00424566,
        0.00430219,
        0.00398736,
        0.00358375,
        0.00376975,
        0.00409036,
        0.00401266,
        0.00382076,
        0.00352716,
        0.00354276,
        0.00359581,
        0.00340807,
        0.00376765,
        0.00409046,
        0.00402967,
        0.00379843,
        0.00350292,
        0.00331138,
        0.00323259,
        0.00318748,
        0.00310811,
        0.00317408,
        0.00317565,
        0.00322831,
        0.00321995,
        0.00326502,
        0.00322525,
        0.00349548,
        0.00335169,
        0.00343208,
        0.00371341,
        0.00387708,
        0.00377805,
        0.00367658,
        0.0036593,
        0.00357804,
        0.00365745,
        0.00372187,
        0.00390402,
        0.00361236,
        0.00355345,
        0.00352025,
        0.00339128,
        0.0035474,
        0.00378206,
        0.003905,
        0.00407164,
        0.00440148,
        0.00464608,
        0.00551465,
        0.00659999,
        0.00757842,
        0.00846856,
        0.00906532,
        0.00950732,
        0.0101199,
        0.0105301,
        0.0105246,
        0.0106473,
        0.0105193,
        0.0119426,
        0.0113014,
        0.0117211,
        0.0103169,
        0.00965644,
        0.00885843,
        0.0083912,
        0.00815576,
        0.00819567,
        0.00797647,
        0.00717627,
        0.00768377,
        0.00765656,
        0.00821697,
        0.00892926,
        0.00815676,
        0.00719705,
        0.0069374,
        0.00755124,
        0.00756757,
        0.0070755,
        0.00619625,
        0.00575486,
        0.00606311,
        0.0060309,
        0.00575602,
        0.00548447,
        0.00543527,
        0.00610996,
        0.00601157,
        0.00571344,
        0.00515598,
        0.00476722,
        0.00451604,
        0.00465264,
        0.00515045,
        0.00593732,
        0.00669558,
        0.00648708,
        0.0059856,
        0.00576537,
        0.00522289,
        0.00506816,
        0.00473885,
        0.00444736,
        0.0042813,
        0.00408659,
        0.00394084,
        0.00376462,
        0.003858,
        0.00397126,
        0.00429212,
        0.00427624,
        0.00435007,
        0.00459487,
        0.00479119,
        0.00520456,
        0.00509652,
        0.00474125,
        0.00420874,
        0.00427239,
        0.00483413,
        0.00585963,
        0.00576695,
        0.00552463,
        0.00486257,
        0.004244,
        0.00383246,
        0.00391695,
        0.00398438,
        0.00398339,
        0.00377017,
        0.00348932,
        0.00337565,
        0.00348622,
        0.00345344,
        0.00347117,
        0.00350386,
        0.00366036,
        0.00355599,
        0.00369235,
        0.00375501,
        0.00344286,
        0.00332708,
        0.00351056,
        0.00383568,
        0.00394125,
        0.00362724,
        0.00325745,
        0.00332663,
        0.00312906,
        0.00327461,
        0.00357996,
        0.00424476,
        0.00421895,
        0.00381275,
        0.00339105,
        0.00301371,
        0.00323601,
        0.00325929,
        0.00304975,
        0.00323412,
        0.00350816,
        0.00361897,
        0.00377308,
        0.00366176,
        0.00368551,
        0.00353683,
        0.00327917,
        0.00325507,
        0.00318941,
        0.00328691,
        0.00342455,
        0.00371283,
        0.00384719,
        0.00366645,
        0.00317565,
        0.00325479,
        0.00344245,
        0.00345337,
        0.00346856,
        0.00323568,
        0.00314794,
        0.0032638,
        0.00315334,
        0.00313127,
        0.00333548,
        0.00361848,
        0.00446474,
        0.00505907,
        0.00506703,
        0.00461842,
        0.00417734,
        0.00383727,
        0.00389632,
        0.00423484,
        0.00471179,
        0.00494053,
        0.00442117,
        0.00380566,
        0.00341177,
        0.00304291,
        0.00296203,
        0.00311887,
        0.00309481,
        0.00320498,
        0.0033053,
        0.00359367,
        0.00419991,
        0.00443257,
        0.00389407,
        0.00353817,
        0.0033997,
        0.00332259,
        0.00367682,
        0.0037293,
        0.00341579,
        0.00314285,
        0.00318089,
        0.00331042,
        0.00327475,
        0.00327576,
        0.00342577,
        0.00361541,
        0.00374564,
        0.00419254,
        0.00416588,
        0.00377051,
        0.00347314,
        0.00330744,
        0.00338785,
        0.00343829,
        0.00348233,
        0.00333803,
        0.00319461,
        0.00325665,
        0.00329968,
        0.00351243,
        0.00386781,
        0.00422825,
        0.00553641,
        0.0058836,
        0.00487386,
        0.00370769,
        0.00329538,
        0.00336915,
        0.0033956,
        0.00353751,
        0.00354611,
        0.00338982,
        0.00333447,
        0.00351841,
        0.00382839,
        0.00422203,
        0.00445226,
        0.00418644,
        0.0037235,
        0.00399405,
        0.00439876,
        0.00533308,
        0.00596919,
        0.00583083,
        0.00510834,
        0.00459638,
        0.00520925,
        0.00575784,
        0.00655099,
        0.00751645,
        0.00738091,
        0.00667881,
        0.00775347,
        0.00992867,
        0.0153994,
        0.0105586,
        0.0130974,
        0.0103082,
        0.00863644,
        0.00729926,
        0.00599421,
        0.00511026,
        0.00514443,
        0.0051568,
        0.00602468,
        0.00667658,
        0.00590257,
        0.00501206,
        0.00446675,
        0.00406304,
        0.00408043,
        0.00411172,
        0.00410828,
        0.00499833,
        0.00523272,
        0.00484665,
        0.00479947,
        0.00501089,
        0.00496388,
        0.00504016,
        0.00496922,
        0.00455588,
        0.00409776,
        0.00397514,
        0.00421296,
        0.00485751,
        0.00507998,
        0.0044818,
        0.0039378,
        0.0038721,
        0.00355536,
        0.00335422,
        0.00332706,
        0.00336356,
        0.0033931,
        0.00366779,
        0.00367116,
        0.00370181,
        0.00351318,
        0.00349062,
        0.00352324,
        0.00334403,
        0.00323772,
        0.00353422,
        0.00341908,
        0.00341959,
        0.00382433,
        0.00388416,
        0.00385689,
        0.0042203,
        0.00492861,
        0.00458809,
        0.0041369,
        0.00455405,
        0.00490546,
        0.00471593,
        0.00425829,
        0.00382873,
        0.00359973,
        0.00340135,
        0.00341728,
        0.00332354,
        0.00350951,
        0.00391697,
        0.00491551,
        0.00646726,
        0.00712094,
        0.00709437,
        0.00664044,
        0.00601101,
        0.00510109,
        0.00458951,
        0.00523572,
        0.00587389,
        0.00600617,
        0.00572702,
        0.00539844,
        0.00484581,
        0.00386011,
        0.00357811,
        0.00359391,
        0.003549,
        0.00337282,
        0.00355539,
        0.00367545,
        0.00346082,
        0.00347284,
        0.00322954,
        0.00325911,
        0.00329228,
        0.0034588,
        0.00334107,
        0.00320966,
        0.00335863,
        0.00337489,
        0.0032587,
        0.00323679,
        0.00314464,
        0.00307226,
        0.00297455,
        0.00289207,
        0.00332462,
        0.00457234,
        0.00323971,
        0.00338027,
        0.00298261,
        0.00371255,
        0.00336136,
        0.0034237,
        0.00351278,
        0.00369306,
        0.00381436,
        0.00387857,
        0.004081,
        0.00496357,
        0.00644613,
        0.00672347,
        0.00633828,
        0.00621593,
        0.00554168,
        0.00461503,
        0.00401969,
        0.0036158,
        0.00346356,
        0.00324354,
        0.00325996,
        0.00343614,
        0.00350318,
        0.00338374,
        0.00341123,
        0.00330677,
        0.00330322,
        0.00325516,
        0.00332869,
        0.00346068,
        0.00322239,
        0.00315074,
        0.003267,
        0.00342472,
        0.00335414,
        0.00322192,
        0.00329861,
        0.00319025,
        0.00331777,
        0.00335656,
        0.00342586,
        0.00370416,
        0.00406634,
        0.00503559,
        0.00600923,
        0.0067741,
        0.00582293,
        0.00470952,
        0.00397951,
        0.00373129,
        0.00419007,
        0.00524932,
        0.00606678,
        0.0052351,
        0.00446241,
        0.0041188,
        0.0037412,
        0.00366645,
        0.00348705,
        0.0036539,
        0.00373327,
        0.0047439,
        0.00641638,
        0.00716948,
        0.00663667,
        0.00549078,
        0.0051572,
        0.00525179,
        0.00532253,
        0.00464866,
        0.00388973,
        0.00413544,
        0.00456215,
        0.00506701,
        0.00439955,
        0.00380059,
        0.00383022,
        0.003732,
        0.00398934,
        0.00464901,
        0.00521753,
        0.00524376,
        0.00421956,
        0.00362386,
        0.00360115,
        0.0037867,
        0.00395823,
        0.00396523,
        0.00375453,
        0.00343583,
        0.00316916,
        0.0031764,
        0.00344542,
        0.00354096,
        0.0040501,
        0.00439901,
        0.00406967,
        0.00400769,
        0.00397309,
        0.00367015,
        0.00349522,
        0.00359763,
        0.00387038,
        0.00373288,
        0.00354446,
        0.00358914,
        0.0037495,
        0.00368257,
        0.00354985,
        0.00350106,
        0.00353627,
        0.00387123,
        0.00383679,
        0.00422781,
        0.00474188,
        0.00484317,
        0.00439361,
        0.00448187,
        0.00429343,
        0.00378341,
        0.00353718,
        0.00349663,
        0.00357798,
        0.00391713,
        0.00428097,
        0.00461264,
        0.00508768,
        0.00412423,
        0.00367883,
        0.00381964,
        0.0043684,
        0.00560269,
        0.00679755,
        0.00686768,
        0.00537107,
        0.00425158,
        0.0037886,
        0.00340082,
        0.0033285,
        0.00314302,
        0.00326027,
        0.00319955,
        0.00323039,
        0.0031497,
        0.00316964,
        0.00336123,
        0.00336086,
        0.00329156,
        0.00320644,
        0.00328865,
        0.00337334,
        0.00346728,
        0.0035977,
        0.00409889,
        0.00557705,
        0.00696554,
        0.00669723,
        0.00563412,
        0.00446651,
        0.00391183,
        0.00382279,
        0.0039733,
        0.00398317,
        0.00423908,
        0.00514586,
        0.00582904,
        0.00603714,
        0.00634489,
        0.00787825,
        0.00809242,
        0.00775298,
        0.00676912,
        0.0062422,
        0.00578237,
        0.0052321,
        0.00488068,
        0.00476631,
        0.00469347,
        0.00477791,
        0.0045487,
        0.00517495,
        0.0053831,
        0.00574271,
        0.00694569,
        0.00907787,
        0.0109223,
        0.0113613,
        0.0106422,
        0.0118907,
        0.0138893,
        0.0157127,
        0.0137778,
        0.0119866,
        0.0117727,
        0.00993294,
        0.00880545,
        0.00787064,
        0.00684317,
        0.00620779,
        0.00567096,
        0.00549395,
        0.00510005,
        0.00484458,
        0.0046846,
        0.00428598,
        0.0042266,
        0.00457835,
        0.00444085,
        0.00431713,
        0.00429791,
        0.00400116,
        0.00382647,
        0.00364631,
        0.00362363,
        0.00346457,
        0.00349878,
        0.00347656,
        0.00358599,
        0.0041018,
        0.00479157,
        0.0054854,
        0.00590127,
        0.00657144,
        0.00589157,
        0.00509442,
        0.00477081,
        0.00473214,
        0.00453336,
        0.00431842,
        0.00387375,
        0.00384226,
        0.00374365,
        0.00379974,
        0.00377502,
        0.00356025,
        0.00365441,
        0.00374406,
        0.00400682,
        0.00431596,
        0.00513083,
        0.00544584,
        0.00480014,
        0.00420598,
        0.00380161,
        0.00375468,
        0.00391423,
        0.00450285,
        0.00495553,
        0.00483816,
        0.00484302,
        0.00512254,
        0.00563663,
        0.00610446,
        0.00670266,
        0.00745883,
        0.00883843,
        0.00996314,
        0.0108683,
        0.0124597,
        0.0124792,
        0.0100331,
        0.00951706,
        0.0100766,
        0.0111934,
        0.0106507,
        0.0106051,
        0.0095098,
        0.00780269,
        0.00763505,
        0.00884206,
        0.00969961,
        0.00959632,
        0.00855659,
        0.00655645,
        0.00522023,
        0.0048515,
        0.00526651,
        0.00537928,
        0.00525509,
        0.00459668,
        0.00423013,
        0.00394768,
        0.00403853,
        0.00391035,
        0.00456413,
        0.00564309,
        0.00593778,
        0.00497681,
        0.00435762,
        0.00402005,
        0.00396955,
        0.00412235,
        0.00402996,
        0.00414731,
        0.00390264,
        0.00376055,
        0.00396047,
        0.00404849,
        0.00394191,
        0.00433041,
        0.00495308,
        0.00604708,
        0.00599335,
        0.0050312,
        0.00467524,
        0.00436434,
        0.00432958,
        0.00453929,
        0.00473029,
        0.00497494,
        0.00539455,
        0.005779,
        0.00627779,
        0.00715345,
        0.00803174,
        0.0112543,
        0.0133547,
        0.0156003,
        0.0112529,
        0.00836391,
        0.00743978,
        0.00698447,
        0.00716014,
        0.00708931,
        0.00638219,
        0.00612184,
        0.0063248,
        0.00573677,
        0.00517522,
        0.00467802,
        0.00427507,
        0.0040455,
        0.00403069,
        0.00436515,
        0.00512352,
        0.00558942,
        0.00486385,
        0.00416866,
        0.00382608,
        0.00375665,
        0.00397589,
        0.00397974,
        0.00376892,
        0.00339071,
        0.00337002,
        0.00358262,
        0.00364694,
        0.00375487,
        0.00367335,
        0.00394348,
        0.00481815,
        0.00567058,
        0.00639402,
        0.00682102,
        0.00699484,
        0.00598676,
        0.00464984,
        0.0038429,
        0.00362244,
        0.00362299,
        0.00349986,
        0.00356948,
        0.00358378,
        0.00374172,
        0.00352718,
        0.00367767,
        0.00365125,
        0.00367303,
        0.00383237,
        0.00405217,
        0.00441174,
        0.00436934,
        0.00391434,
        0.00404655,
        0.00426786,
        0.00470384,
        0.005282,
        0.00776349,
        0.00900281,
        0.00800072,
        0.00721565,
        0.00807204,
        0.00959665,
        0.00823026,
        0.00856592,
        0.00807557,
        0.00679715,
        0.00597646,
        0.00476712,
        0.00418614,
        0.00449825,
        0.00481079,
        0.00483025,
        0.0052839,
        0.00517396,
        0.00493138,
        0.00609764,
        0.00588619,
        0.00520455,
        0.004855,
        0.00495565,
        0.0048443,
        0.00461244,
        0.00475532,
        0.00481909,
        0.00470972,
        0.00473951,
        0.00487224,
        0.00457466,
        0.00465888,
        0.00486624,
        0.00441773,
        0.0046313,
        0.00475161,
        0.00556111,
        0.0071079,
        0.00729228,
        0.00658095,
        0.00561632,
        0.00500055,
        0.00510147,
        0.00531235,
        0.00485648,
        0.00483503,
        0.00530837,
        0.0062676,
        0.00751314,
        0.00751906,
        0.00576581,
        0.00502613,
        0.00528834,
        0.00477633,
        0.00467047,
        0.00445214,
        0.00428381,
        0.0042752,
        0.0047928,
        0.00603646,
        0.00718523,
        0.00688335,
        0.00576647,
        0.00520699,
        0.00563793,
        0.00547986,
        0.00485982,
        0.00468161,
        0.00491114,
        0.00583452,
        0.00624255,
        0.00572502,
        0.00508011,
        0.00450096,
        0.00444416,
        0.00449828,
        0.00429285,
        0.00425259,
        0.00398128,
        0.00391905,
        0.00394053,
        0.00606364,
        0.00632297,
        0.00508943,
        0.00516016,
        0.00619243,
        0.00632152,
        0.0039441,
        0.00395435,
        0.00370935,
        0.00414325,
        0.00415529,
        0.00407945,
        0.0042024,
        0.00468719,
        0.00449445,
        0.00438052,
        0.00467358,
        0.0049445,
        0.00533645,
        0.00646015,
        0.00687598,
        0.00579536,
        0.00487569,
        0.00476246,
        0.00497884,
        0.00466327,
        0.00475765,
        0.00468615,
        0.00440499,
        0.00429984,
        0.00415734,
        0.00394737,
        0.00437931,
        0.00472685,
        0.0042219,
        0.00411639,
        0.00385838,
        0.00390068,
        0.00375705,
        0.00366795,
        0.00414958,
        0.00498542,
        0.00608742,
        0.00694097,
        0.00653267,
        0.00601942,
        0.00523179,
        0.00488562,
        0.00552066,
        0.00735854,
        0.00955218,
        0.0107891,
        0.0107581,
        0.00763405,
        0.0048733,
        0.00425841,
        0.00408821,
        0.00403879,
        0.0037103,
        0.00356435,
        0.00347963,
        0.00359364,
        0.00405776,
        0.00456052,
        0.00570256,
        0.00655947,
        0.00694094,
        0.00741875,
        0.00651426,
        0.00507247,
        0.00430362,
        0.00413966,
        0.00397917,
        0.00372012,
        0.00387641,
        0.00394609,
        0.00393254,
        0.00386572,
        0.00402634,
        0.00433026,
        0.0042801,
        0.00439401,
        0.00528805,
        0.00664769,
        0.00770388,
        0.0068989,
        0.00655132,
        0.00618318,
        0.00494538,
        0.00424537,
        0.00423495,
        0.00440871,
        0.00418612,
        0.00426007,
        0.00416205,
        0.00387823,
        0.00447302,
        0.00523624,
        0.00516938,
        0.00508594,
        0.00493819,
        0.00493594,
        0.00475268,
        0.00459922,
        0.00489217,
        0.00512665,
        0.00518148,
        0.00606231,
        0.00600918,
        0.00753867,
        0.00739889,
        0.00711794,
        0.0075174,
        0.00757516,
        0.0075463,
        0.0101083,
        0.0147516,
        0.0168403,
        0.0174527,
        0.0142787,
        0.0181241,
        0.0212433,
        0.0154016,
        0.0113246,
        0.00936757,
        0.00888359,
        0.00832435,
        0.00734099,
        0.00710666,
        0.00736093,
        0.00843637,
        0.00986432,
        0.00807035,
        0.00609012,
        0.00566969,
        0.0058498,
        0.00553844,
        0.00511903,
        0.00508041,
        0.00515194,
        0.00498373,
        0.00399729,
        0.00371395,
        0.0039843,
        0.00421599,
        0.00448401,
        0.00489429,
        0.00485083,
        0.00484151,
        0.00639217,
        0.00619831,
        0.00506718,
        0.00414166,
        0.00401866,
        0.00426716,
        0.00436144,
        0.00405453,
        0.00414501,
        0.00473723,
        0.00501948,
        0.00507878,
        0.00488126,
        0.00411554,
        0.00430004,
        0.00425849,
        0.00498897,
        0.00451163,
        0.00422785,
        0.00464396,
        0.00640626,
        0.00798467,
        0.00722269,
        0.00548786,
        0.00450398,
        0.00410116,
        0.00416851,
        0.00454666,
        0.00581654,
        0.0059899,
        0.0048521,
        0.00417779,
        0.00404787,
        0.0045047,
        0.00611039,
        0.00856906,
        0.0109221,
        0.00939075,
        0.00569255,
        0.00477905,
        0.00407845,
        0.00410764,
        0.00451568,
        0.0049884,
        0.00581193,
        0.00602025,
        0.00485587,
        0.00398796,
        0.00465313,
        0.00389423,
        0.00369554,
        0.00396455,
        0.00452416,
        0.00556091,
        0.00714675,
        0.00607614,
        0.00458178,
        0.00412955,
        0.00405448,
        0.00427657,
        0.00467053,
        0.00547896,
        0.00718584,
        0.00639786,
        0.00549376,
        0.00493773,
        0.00486355,
        0.00487826,
        0.0049468,
        0.00631524,
        0.00710605,
        0.00541623,
        0.00428316,
        0.00518728,
        0.00528487,
        0.00493967,
        0.00445628,
        0.00423183,
        0.00400277,
        0.00375053,
        0.00394654,
        0.00390773,
        0.00378724,
        0.00424737,
        0.00517369,
        0.00433038,
        0.00424711,
        0.00422075,
        0.00549126,
        0.00681484,
        0.00646359,
        0.00554173,
        0.00594941,
        0.00664166,
        0.00574204,
        0.00470596,
        0.00440976,
        0.0043482,
        0.00447219,
        0.00435426,
        0.00416926,
        0.00457604,
        0.00475887,
        0.00488703,
        0.00528627,
        0.00549204,
        0.00573489,
        0.00625888,
        0.0060609,
        0.00591673,
        0.00653187,
        0.00690932,
        0.00678801,
        0.00737507,
        0.00878537,
        0.0121771,
        0.0195339,
        0.0156857,
        0.0119065,
        0.0104513,
        0.0103242,
        0.00992694,
        0.00784448,
        0.00744015,
        0.00762857,
        0.00826709,
        0.00829477,
        0.00698832,
        0.00630183,
        0.00789817,
        0.00898267,
        0.00690647,
        0.00573729,
        0.00550833,
        0.00546398,
        0.00552327,
        0.00600469,
        0.00565552,
        0.00514059,
        0.0048584,
        0.00440454,
        0.00414211,
        0.00453913,
        0.0045512,
        0.0046225,
        0.00561357,
        0.0056274,
        0.00734843,
        0.0075951,
        0.0059606,
        0.00442232,
        0.00413119,
        0.00489218,
        0.00729346,
        0.0124515,
        0.016364,
        0.00997406,
        0.00524384,
        0.00499046,
        0.00443772,
        0.00429861,
        0.00449624,
        0.00419854,
        0.00390998,
        0.00410196,
        0.00429931,
        0.00412391,
        0.00382319,
        0.00364113,
        0.00427367,
        0.00501236,
        0.0042156,
        0.00394098,
        0.00455942,
        0.0041548,
        0.00419727,
        0.00426468,
        0.00385148,
        0.00407063,
        0.0047027,
        0.00434935,
        0.00450784,
        0.00591152,
        0.00696605,
        0.00632041,
        0.00832245,
        0.00939768,
        0.00684996,
        0.00467589,
        0.00418595,
        0.00430882,
        0.00396255,
        0.00358009,
        0.00391891,
        0.00444619,
        0.00529519,
        0.00674922,
        0.00853919,
        0.00667753,
        0.00474934,
        0.00401072,
        0.00414094,
        0.00385902,
        0.00397797,
        0.00423677,
        0.00427869,
        0.00486321,
        0.00529054,
        0.00464225,
        0.00417522,
        0.00432774,
        0.00406166,
        0.00385377,
        0.00389546,
        0.00209537,
        0.00333037,
        0.00402927,
        0.00461589,
        0.00496992,
        0.00500737,
        0.00609616,
        0.0075551,
        0.00704204,
        0.00585461,
        0.00498605,
        0.00497268,
        0.00571355,
        0.00617166,
        0.00551569,
        0.00442321,
        0.0040561,
        0.00416507,
        0.00431674,
        0.00420957,
        0.00405566,
        0.0042073,
        0.00396761,
        0.00396034,
        0.003858,
        0.00398882,
        0.00409017,
        0.00409874,
        0.00409378,
        0.00446013,
        0.00466057,
        0.00480308,
        0.00467939,
        0.00403467,
        0.00447414,
        0.00424992,
        0.00436321,
        0.00437559,
        0.00437541,
        0.00423135,
        0.00411061,
        0.00509391,
        0.00635041,
        0.00703802,
        0.00661169,
        0.00549821,
        0.00501135,
        0.00459056,
        0.0046992,
        0.00470549,
        0.00420426,
        0.00414111,
        0.00437773,
        0.00466834,
        0.005095,
        0.00503583,
        0.00455636,
        0.00431872,
        0.00437519,
        0.00438152,
        0.00473592,
        0.0051798,
        0.00635882,
        0.00781409,
        0.00744708,
        0.00677955,
        0.0065976,
        0.00594194,
        0.00515542,
        0.00448778,
        0.00455366,
        0.00469221,
        0.00462235,
        0.00472079,
        0.0052069,
        0.00572305,
        0.0059046,
        0.00642399,
        0.00687685,
        0.00836185,
        0.00990555,
        0.012167,
        0.0114664,
        0.0103813,
        0.00978844,
        0.00871737,
        0.00794207,
        0.00756415,
        0.00651546,
        0.00531362,
        0.00463582,
        0.00462929,
        0.00504441,
        0.00505567,
        0.00474616,
        0.0048675,
        0.00584018,
        0.00715932,
        0.00725963,
        0.00614375,
        0.00478475,
        0.00438989,
        0.00412772,
        0.00413251,
        0.00436693,
        0.00415811,
        0.00399285,
        0.00409467,
        0.00408154,
        0.00408864,
        0.00406959,
        0.00398915,
        0.00404313,
        0.004085,
        0.00434772,
        0.00439528,
        0.00473296,
        0.00519533,
        0.00688901,
        0.00777654,
        0.00698384,
        0.0056237,
        0.00504243,
        0.00478682,
        0.00485523,
        0.00485545,
        0.00567404,
        0.00748013,
        0.0101042,
        0.010309,
        0.00916875,
        0.00701451,
        0.00555447,
        0.00489262,
        0.00453798,
        0.00437677,
        0.00425394,
        0.00432679,
        0.0044079,
        0.00449519,
        0.00509739,
        0.00528439,
        0.00487801,
        0.00455678,
        0.00452604,
        0.00439261,
        0.00428218,
        0.0042013,
        0.00405509,
        0.0045186,
        0.00431954,
        0.00423531,
        0.00409299,
        0.00402257,
        0.00402529,
        0.00401138,
        0.00438235,
        0.00431042,
        0.00415947,
        0.00473063,
        0.00597084,
        0.00779032,
        0.00887392,
        0.00752194,
        0.00572534,
        0.00488017,
        0.00480346,
        0.00477567,
        0.00442053,
        0.00451873,
        0.0044562,
        0.00422662,
        0.00429279,
        0.00421708,
        0.00412278,
        0.00417297,
        0.00453653,
        0.00450136,
        0.00430358,
        0.00441269,
        0.00431666,
        0.00418736,
        0.00412083,
        0.00403477,
        0.00410382,
        0.00405985,
        0.00407544,
        0.00398468,
        0.00410884,
        0.00404825,
        0.00423658,
        0.00393458,
        0.00406327,
        0.00439694,
        0.00517547,
        0.00616403,
        0.00695555,
        0.00610916,
        0.00512538,
        0.00475762,
        0.004481,
        0.00466451,
        0.00481809,
        0.00502374,
        0.00494505,
        0.00463999,
        0.00430473,
        0.00445803,
        0.00456606,
        0.00466836,
        0.00436496,
        0.00391612,
        0.00418986,
        0.00424046,
        0.00445905,
        0.005079,
        0.0065329,
        0.00870285,
        0.00865372,
        0.00680684,
        0.00545478,
        0.00440304,
        0.00398362,
        0.0039922,
        0.00421981,
        0.00458778,
        0.00477294,
        0.00581728,
        0.00741752,
        0.00761273,
        0.00575699,
        0.00472007,
        0.00457863,
        0.00460526,
        0.00462328,
        0.00488135,
        0.00498089,
        0.00518139,
        0.00542087,
        0.00620407,
        0.0076642,
        0.00783785,
        0.00622915,
        0.00553302,
        0.00508394,
        0.00473417,
        0.00475731,
        0.00533614,
        0.00544818,
        0.00555236,
        0.00630102,
        0.00668765,
        0.00725709,
        0.00759557,
        0.00745473,
        0.00680936,
        0.00619267,
        0.00572398,
        0.00560655,
        0.00585949,
        0.00629111,
        0.00758456,
        0.00883545,
        0.00778098,
        0.00624259,
        0.00568158,
        0.00591926,
        0.00589365,
        0.00614452,
        0.00657644,
        0.006748,
        0.00659805,
        0.00692406,
        0.00766944,
        0.00837462,
        0.00939685,
        0.00893434,
        0.00774988,
        0.0075822,
        0.00840623,
        0.0100932,
        0.0111436,
        0.0109765,
        0.00906915,
        0.00735443,
        0.00637634,
        0.00574838,
        0.00554149,
        0.00540738,
        0.00495764,
        0.00532093,
        0.0055665,
        0.00646223,
        0.00856582,
        0.00938508,
        0.00774146,
        0.00611483,
        0.00562638,
        0.00533683,
        0.0052676,
        0.00529293,
        0.0049426,
        0.00491165,
        0.00499792,
        0.00525032,
        0.0050272,
        0.00486458,
        0.00514535,
        0.0052787,
        0.00522861,
        0.00497392,
        0.00519148,
        0.00527746,
        0.00482024,
        0.0051068,
        0.00523766,
        0.0055574,
        0.00577991,
        0.00622716,
        0.00772595,
        0.00961133,
        0.0096624,
        0.0080396,
        0.00656551,
        0.00579547,
        0.00576115,
        0.00570465,
        0.00543049,
        0.00550807,
        0.00594503,
        0.00602916,
        0.00645245,
        0.0066427,
        0.00708483,
        0.00687975,
        0.00668713,
        0.00697001,
        0.00723085,
        0.00811725,
        0.00911044,
        0.010613,
        0.0132361,
        0.0151589,
        0.0217704,
        0.0166257,
        0.0143612,
        0.0154228,
        0.0139598,
        0.0124067,
        0.0103746,
        0.0085127,
        0.00791404,
        0.00718143,
        0.00648321,
        0.00650861,
        0.00624822,
        0.00579045,
        0.00576815,
        0.00571422,
        0.0057536,
        0.00562701,
        0.00584338,
        0.00612866,
        0.00653298,
        0.00695808,
        0.00685619,
        0.00646769,
        0.00650134,
        0.00639814,
        0.00735429,
        0.00914705,
        0.00890734,
        0.00794552,
        0.00870515,
        0.00983299,
        0.00953218,
        0.00792477,
        0.00709421,
        0.006669,
        0.00664862,
        0.00672698,
        0.00728097,
        0.00707184,
        0.00760006,
        0.00806073,
        0.00823125,
        0.00852157,
        0.00919303,
        0.0107254,
        0.0123698,
        0.0139953,
        0.0163588,
        0.0167815,
        0.0186194,
        0.0224375,
        0.0239229,
        0.0200933,
        0.0160503,
        0.0144837,
        0.0146724,
        0.0140217,
        0.0122909,
        0.0103163,
        0.00887596,
        0.00862149,
        0.00920466,
        0.012109,
        0.0134321,
        0.00973128,
        0.00834228,
        0.0075483,
        0.00683528,
        0.0070445,
        0.00716794,
        0.00703663,
        0.00729573,
        0.00770555,
        0.00775121,
        0.00733232,
        0.00717764,
        0.00705973,
        0.00710036,
        0.00799556,
        0.0094917,
        0.00973545,
        0.00864986,
        0.00737561,
        0.0066587,
        0.0072082,
        0.00742757,
        0.00823925,
        0.00846743,
        0.00834644,
        0.00911196,
        0.00921514,
        0.0100733,
        0.0109484,
        0.0116006,
        0.0157737,
        0.0200751,
        0.021409,
        0.0197807,
        0.016279,
        0.0119476,
        0.0101883,
        0.00975575,
        0.0092469,
        0.00827816,
        0.00744487,
        0.00730891,
        0.00743437,
        0.00702484,
        0.00641322,
        0.00618339,
        0.00606585,
        0.0059466,
        0.00613941,
        0.00559966,
        0.00545287,
        0.00557488,
        0.00511254,
        0.0049904,
        0.0048164,
        0.0048917,
        0.00511248,
        0.00509746,
        0.00482735,
        0.00472928,
        0.00482019,
        0.00483491,
        0.00482304,
        0.00484806,
        0.00475138,
        0.0047585,
        0.00506504,
        0.00527977,
        0.00534478,
        0.0051505,
        0.00482002,
        0.00486045,
        0.00482147,
        0.00486869,
        0.00487125,
        0.00463139,
        0.00483006,
        0.00507926,
        0.00525974,
        0.00523828,
        0.00530788,
        0.00527068,
        0.00521899,
        0.00510132,
        0.00515731,
        0.00513447,
        0.00473262,
        0.00462799,
        0.00469638,
        0.00512605,
        0.00562208,
        0.00624035,
        0.00725507,
        0.00721751,
        0.00694444,
        0.00653644,
        0.00559215,
        0.00521988,
        0.00440161,
        0.00364717,
        0.00395616,
        0.00407273,
        0.0042242,
        0.00428204,
        0.00441615,
        0.0042861,
        0.00437172,
        0.00433829,
        0.00437575,
        0.00428365,
        0.0041686,
        0.00410879,
        0.00434741,
        0.00428419,
        0.00439096,
        0.00461002,
        0.00476021,
        0.0049609,
        0.00470208,
        0.00444657,
        0.00469754,
        0.0042521,
        0.00417034,
        0.00432701,
        0.00445785,
        0.00424457,
        0.00430621,
        0.00444915,
        0.00437537,
        0.0041905,
        0.00432615,
        0.00444683,
        0.00438932,
        0.00446054,
        0.00462066,
        0.0045433,
        0.00455057,
        0.00456078,
        0.0049593,
        0.00511724,
        0.00507218,
        0.00496973,
        0.00541599,
        0.00597031,
        0.00615419,
        0.00690568,
        0.00758066,
        0.00711593,
        0.00633427,
        0.0061179,
        0.00562552,
        0.00525948,
        0.00514336,
        0.00522656,
        0.00551746,
        0.00610645,
        0.00620275,
        0.00560467,
        0.00511448,
        0.00543008,
        0.00595157,
        0.00557973,
        0.00484002,
        0.00441913,
        0.00420742,
        0.00413909,
        0.00419308,
        0.00418164,
        0.00434049,
        0.00437305,
        0.00434891,
        0.004389,
        0.00442966,
        0.0044748,
        0.00437494,
        0.00431774,
        0.00421941,
        0.00411334,
        0.00466802,
        0.00493305,
        0.00471719,
        0.00441775,
        0.00430032,
        0.0042427,
        0.00416864,
        0.00417441,
        0.00422089,
        0.00430393,
        0.00447734,
        0.00464808,
        0.00457488,
        0.00462855,
        0.00435319,
        0.00419564,
        0.00431043,
        0.0044705,
        0.0048539,
        0.00478842,
        0.0044247,
        0.00444347,
        0.00453051,
        0.00469147,
        0.0048292,
        0.00479902,
        0.00484559,
        0.00493013,
        0.0049027,
        0.00487254,
        0.00483093,
        0.00469734,
        0.00438386,
        0.00425995,
        0.00450814,
        0.00429085,
        0.00417328,
        0.00414,
        0.00413973,
        0.0041208,
        0.0042222,
        0.0043518,
        0.00442945,
        0.00436165,
        0.00424521,
        0.00426807,
        0.00453909,
        0.00457204,
        0.00428968,
        0.00427066,
        0.00437385,
        0.00411709,
        0.00424228,
        0.00425703,
        0.00436522,
        0.00428118,
        0.00429468,
        0.00432065,
        0.00415312,
        0.00419626,
        0.00395571,
        0.0040596,
        0.00407728,
        0.00408288,
        0.00393349,
        0.00395321,
        0.00415406,
        0.00428114,
        0.00435981,
        0.0041653,
        0.00422942,
        0.00434138,
        0.00425884,
        0.00420689,
        0.0044329,
        0.00476691,
        0.00487561,
        0.0051991,
        0.00519044,
        0.00516617,
        0.00524597,
        0.00563316,
        0.00568977,
        0.00527543,
        0.00501889,
        0.00485989,
        0.00483815,
        0.00443692,
        0.00405277,
        0.00398018,
        0.00414192,
        0.00435723,
        0.00410464,
        0.00415148,
        0.0046118,
        0.00453755,
        0.00441817,
        0.00440418,
        0.00459827,
        0.00468056,
        0.00451316,
        0.00447342,
        0.00507536,
        0.00466141,
        0.00503044,
        0.00502661,
        0.00483937,
        0.00485044,
        0.00429849,
        0.00427945,
        0.00474066,
        0.00482319,
        0.00477148,
        0.00439819,
        0.00435948,
        0.0045676,
        0.00461167,
        0.00472014,
        0.00458779,
        0.00455415,
        0.00459166,
        0.00472658,
        0.00475105,
        0.00518112,
        0.00504723,
        0.00490696,
        0.00480155,
        0.00484913,
        0.00495983,
        0.00488856,
        0.00488885,
        0.00504849,
        0.00519166,
        0.00512236,
        0.00513895,
        0.00513954,
        0.00524794,
        0.00537801,
        0.00576293,
        0.00655605,
        0.00690563,
        0.00748637,
        0.00805772,
        0.00768079,
        0.00724506,
        0.00663779,
        0.00625146,
        0.00597499,
        0.00619237,
        0.00609726,
        0.00554492,
        0.00558851,
        0.00555877,
        0.00566631,
        0.00596752,
        0.0061797,
        0.00646693,
        0.00668463,
        0.00748255,
        0.00799066,
        0.00865737,
        0.0105308,
        0.0115191,
        0.0130965,
        0.0131229,
        0.0174655,
        0.0138675,
        0.0126008,
        0.0102432,
        0.00865307,
        0.00786902,
        0.0071622,
        0.00658732,
        0.00621163,
        0.00597212,
        0.00578773,
        0.00538359,
        0.00523841,
        0.0050576,
        0.00501109,
        0.00496108,
        0.00511816,
        0.00493905,
        0.00475231,
        0.00494563,
        0.00499967,
        0.00492246,
        0.00502809,
        0.00475408,
        0.00469186,
        0.00472686,
        0.00432028,
        0.00448473,
        0.00456344,
        0.00428818,
        0.00428005,
        0.0043223,
        0.00438331,
        0.00427144,
        0.00404925,
        0.00414753,
        0.00424963,
        0.00452012,
        0.00462419,
        0.00440785,
        0.00429891,
        0.00411291,
        0.00433893,
        0.00438776,
        0.00457071,
        0.00457929,
        0.00452622,
        0.00416501,
        0.00410637,
        0.00400107,
        0.00401143,
        0.00412409,
        0.00409856,
        0.00421832,
        0.00432907,
        0.00425766,
        0.00427213,
        0.00449972,
        0.00442981,
        0.00445618,
        0.00430673,
        0.00448541,
        0.00445496,
        0.00442124,
        0.00422091,
        0.00402759,
        0.00412025,
        0.00406091,
        0.00440105,
        0.00439133,
        0.00439666,
        0.00420522,
        0.00403931,
        0.00406852,
        0.00427883,
        0.0042713,
        0.00427959,
        0.00442306,
        0.00450638,
        0.00462398,
        0.0049164,
        0.00536216,
        0.00592592,
        0.00584798,
        0.00558549,
        0.00544773,
        0.00480383,
        0.00465973,
        0.00441502,
        0.0043271,
        0.00404241,
        0.00396241,
        0.0040801,
        0.00406509,
        0.00414305,
        0.0042068,
        0.00401302,
        0.00414695,
        0.00421289,
        0.00411494,
        0.004063,
        0.00413794,
        0.00430046,
        0.00454873,
        0.00475645,
        0.00539825,
        0.00584439,
        0.0058571,
        0.00566234,
        0.00562126,
        0.00547361,
        0.00501215,
        0.00492895,
        0.00451201,
        0.00427141,
        0.00413526,
        0.00442094,
        0.00478255,
        0.00539185,
        0.00525064,
        0.00489318,
        0.00464814,
        0.00506377,
        0.00530992,
        0.00509885,
        0.00455692,
        0.00469975,
        0.0045078,
        0.00445669,
        0.0044667,
        0.00432698,
        0.00433619,
        0.00444579,
        0.00602558,
        0.00784991,
        0.0090372,
        0.00893967,
        0.00805519,
        0.00743908,
        0.00774327,
        0.00872485,
        0.00820185,
        0.00943695,
        0.0078949,
        0.00655506,
        0.00600833,
        0.00543947,
        0.00528724,
        0.0053258,
        0.00613613,
        0.00698484,
        0.00625941,
        0.00553805,
        0.00487585,
        0.00447678,
        0.00426336,
        0.0045641,
        0.00460042,
        0.00510922,
        0.00544852,
        0.00535209,
        0.00514458,
        0.00469799,
        0.00456453,
        0.00456132,
        0.00439909,
        0.00472364,
        0.00455135,
        0.00439031,
        0.0046651,
        0.00524353,
        0.00578573,
        0.00563424,
        0.00552975,
        0.00513637,
        0.00557842,
        0.00732484,
        0.0073686,
        0.00614853,
        0.00509372,
        0.00502443,
        0.00494017,
        0.00501798,
        0.00583195,
        0.0061425,
        0.00704406,
        0.00624426,
        0.00544889,
        0.00486788,
        0.00424273,
        0.00402694,
        0.00425294,
        0.00446596,
        0.00483785,
        0.00537295,
        0.00568673,
        0.00504729,
        0.00476787,
        0.00486624,
        0.00500341,
        0.00456893,
        0.00454472,
        0.00366351,
        0.00362536,
        0.00410936,
        0.00452143,
        0.00454471,
        0.00386587,
        0.00415587,
        0.00401423,
        0.00365908,
        0.003347,
        0.00422828,
        0.00403222,
        0.00415876,
        0.00417324,
        0.0044732,
        0.00488612,
        0.00506786,
        0.00525108,
        0.00513796,
        0.00478275,
        0.00445485,
        0.00440697,
        0.00457372,
        0.00464894,
        0.00488055,
        0.0051198,
        0.00547005,
        0.00655781,
        0.00777375,
        0.00752848,
        0.00658542,
        0.0059604,
        0.00530302,
        0.00509672,
        0.00486551,
        0.00471853,
        0.00533229,
        0.00611003,
        0.00642489,
        0.00529529,
        0.00478946,
        0.00439183,
        0.00415144,
        0.00412195,
        0.00428543,
        0.00432436,
        0.00470154,
        0.00531134,
        0.00665813,
        0.00702986,
        0.00602823,
        0.00507149,
        0.00449569,
        0.00465161,
        0.00514349,
        0.00487414,
        0.00469093,
        0.00481483,
        0.00493939,
        0.0050873,
        0.00609493,
        0.00649792,
        0.00672416,
        0.00624137,
        0.00559087,
        0.00537436,
        0.00555272,
        0.00586576,
        0.00628842,
        0.00585058,
        0.00514369,
        0.00469967,
        0.0045562,
        0.0045677,
        0.00461001,
        0.00502283,
        0.00552935,
        0.00557403,
        0.00565061,
        0.00513743,
        0.00479515,
        0.00445814,
        0.00431032,
        0.00445183,
        0.00479999,
        0.00495525,
        0.00511641,
        0.00508068,
        0.0035449,
        0.00364772,
        0.00412242,
        0.00520039,
        0.00665543,
        0.00709414,
        0.00593698,
        0.00509693,
        0.00476135,
        0.00450792,
        0.0042377,
        0.00374368,
        0.00407805,
        0.00423909,
        0.00479267,
        0.0058994,
        0.00537666,
        0.00545711,
        0.00475321,
        0.00450818,
        0.00480099,
        0.0051453,
        0.0055426,
        0.00561459,
        0.00583428,
        0.00524333,
        0.00511822,
        0.00628464,
        0.00718276,
        0.00488456,
        0.00487527,
        0.0043313,
        0.00372766,
        0.00399036,
        0.00417246,
        0.00384808,
        0.00417751,
        0.00488632,
        0.00536275,
        0.00541907,
        0.0050094,
        0.00475467,
        0.00384377,
        0.00288447,
        0.00332717,
        0.00328562,
        0.00406242,
        0.00329255,
        0.00325227,
        0.00347816,
        0.00342735,
        0.00366262,
        0.00367569,
        0.00368722,
        0.00421979,
        0.00419779,
        0.00372427,
        0.00388713,
        0.00407106,
        0.00423773,
        0.00384979,
        0.00383263,
        0.00422324,
        0.00430597,
        0.00374422,
        0.0034576,
        0.00404422,
        0.00293927,
        0.00387653,
        0.00324414,
        0.00553605,
        0.00539469,
        0.00643484,
        0.00634372,
        0.00497466,
        0.00456507,
        0.00449672,
        0.0042485,
        0.00384338,
        0.00339965,
        0.00393675,
        0.0043507,
        0.00370811,
        0.00353345,
        0.00336068,
        0.00330714,
        0.00362977,
        0.00457322,
        0.0045905,
        0.00596831,
        0.00547317,
        0.00519709,
        0.00473852,
        0.00440788,
        0.00399275,
        0.00459572,
        0.00402651,
        0.00371243,
        0.00400898,
        0.00412961,
        0.00376835,
        0.00404914,
        0.0044585,
        0.00526535,
        0.00519943,
        0.00441049,
        0.00419377,
        0.00431075,
        0.00426834,
        0.00444379,
        0.00394791,
        0.00382397,
        0.00411677,
        0.00482715,
        0.00515806,
        0.00489861,
        0.00603589,
        0.00442367,
        0.00436418,
        0.00327179,
        0.00376695,
        0.00454139,
        0.00391538,
        0.00436048,
        0.00442048,
        0.00437437,
        0.00588519,
        0.00798675,
        0.00774852,
        0.0130823,
        0.0136258,
        0.0128759,
        0.0157051,
        0.0160456,
        0.0136927,
        0.0183172,
        0.0171334,
        0.0154579,
        0.0131315,
        0.0132662,
        0.0167723,
        0.00778514,
        0.00715132,
        0.00632307,
        0.00540412,
        0.00451829,
        0.00551741,
        0.00465976,
        0.00504356,
        0.00472754,
        0.00437171,
        0.00485632,
        0.00661135,
        0.00776335,
        0.00840433,
        0.00748925,
        0.00621451,
        0.00583159,
        0.00609962,
        0.00653036,
        0.00577058,
        0.00531453,
        0.00597453,
        0.00534388,
        0.00461017,
        0.004872,
        0.00516067,
        0.00472766,
        0.00476687,
        0.00574045,
        0.00471536,
        0.00470096,
        0.00439987,
        0.00460062,
        0.00388448,
        0.00461156,
        0.00422646,
        0.00363643,
        0.00393235,
        0.00377657,
        0.00373869,
        0.00400244,
        0.00488958,
        0.00603961,
        0.00583533,
        0.00541067,
        0.00572239,
        0.00551591,
        0.00451766,
        0.00401797,
        0.00422763,
        0.00414657,
        0.00382277,
        0.00385314,
        0.00356012,
        0.00377869,
        0.0037216,
        0.00334197,
        0.00423173,
        0.00362252,
        0.00423014,
        0.00466824,
        0.00402907,
        0.00429265,
        0.00538071,
        0.00538736,
        0.0051001,
        0.0050631,
        0.00444044,
        0.00404317,
        0.00388916,
        0.00455657,
        0.00409675,
        0.00395306,
        0.00414307,
        0.00435341,
        0.0044424,
        0.00411891,
        0.00434683,
        0.00488524,
        0.00455889,
        0.0042065,
        0.00442288,
        0.00486899,
        0.00541359,
        0.00500239,
        0.00475831,
        0.00493558,
        0.00554924,
        0.00712281,
        0.0073253,
        0.00786138,
        0.00601194,
        0.00595354,
        0.0062061,
        0.00734823,
        0.00739759,
        0.00595822,
        0.00644516,
        0.00662538,
        0.00741324,
        0.00730467,
        0.011063,
        0.0137443,
        0.0131615,
        0.0131781,
        0.0181301,
        0.00752267,
        0.00629253,
        0.00542539,
        0.00490353,
        0.00513692,
        0.00482468,
        0.00560311,
        0.00493609,
        0.00522959,
        0.0054323,
        0.00482606,
        0.00504369,
        0.00429007,
        0.00427578,
        0.00453017,
        0.00426885,
        0.00412428,
        0.00464625,
        0.00419478,
        0.00444206,
        0.00542997,
        0.00573606,
        0.00653928,
        0.00709751,
        0.00684401,
        0.0062542,
        0.0056101,
        0.00589105,
        0.00645014,
        0.00668627,
        0.00684882,
        0.0065315,
        0.00594462,
        0.00562403,
        0.00491014,
        0.00483643,
        0.0051272,
        0.00504817,
        0.00514139,
        0.00551254,
        0.00510189,
        0.00507726,
        0.00512584,
        0.00536932,
        0.00555584,
        0.00574982,
        0.00594429,
        0.00624807,
        0.00653858,
        0.00718349,
        0.00736261,
        0.00749509,
        0.00727299,
        0.00696838,
        0.0071461,
        0.00693997,
        0.00747175,
        0.00771208,
        0.00721429,
        0.00607487,
        0.0059034,
        0.00557485,
        0.00551176,
        0.00528018,
        0.00533555,
        0.00520891,
        0.00514072,
        0.00467874,
        0.00446649,
        0.00469468,
        0.00486505,
        0.00484364,
        0.00506817,
        0.00539771,
        0.00565923,
        0.00623149,
        0.00716863,
        0.00875733,
        0.00996572,
        0.00918384,
        0.00781785,
        0.00639709,
        0.00545716,
        0.00516668,
        0.00492892,
        0.00450067,
        0.00438482,
        0.0042247,
        0.00382498,
        0.00386431,
        0.00397261,
        0.00439161,
        0.0041421,
        0.00414814,
        0.00414011,
        0.00390833,
        0.00376191,
        0.00403236,
        0.00449894,
        0.00518032,
        0.00673355,
        0.00839859,
        0.00825034,
        0.0071884,
        0.00700266,
        0.00608851,
        0.00508406,
        0.00455806,
        0.00434912,
        0.00435919,
        0.00414655,
        0.00396855,
        0.00421667,
        0.00439717,
        0.0041469,
        0.00400381,
        0.00375667,
        0.00362139,
        0.00377169,
        0.00385623,
        0.00393171,
        0.00419241,
        0.00437162,
        0.00435172,
        0.00517964,
        0.005895,
        0.00589266,
        0.00547463,
        0.00489121,
        0.00465034,
        0.00462257,
        0.00471211,
        0.00440566,
        0.00415858,
        0.00388229,
        0.00380805,
        0.00389519,
        0.00382787,
        0.00396107,
        0.00413209,
        0.00404286,
        0.00404367,
        0.00404711,
        0.00405072,
        0.00415874,
        0.00450256,
        0.00442454,
        0.00420932,
        0.00418,
        0.00426593,
        0.0044476,
        0.00428986,
        0.00409112,
        0.00404841,
        0.00409417,
        0.00426148,
        0.00442674,
        0.00459752,
        0.00494383,
        0.00513204,
        0.00541059,
        0.00519145,
        0.00430948,
        0.00412306,
        0.00396597,
        0.00456431,
        0.00434944,
        0.00419637,
        0.00441577,
        0.00515793,
        0.00598798,
        0.0062096,
        0.00521636,
        0.0043963,
        0.00460195,
        0.00419347,
        0.00423518,
        0.00416853,
        0.00415329,
        0.00394766,
        0.0040174,
        0.00387633,
        0.00402167,
        0.00386573,
        0.00392857,
        0.00394455,
        0.00413975,
        0.00426062,
        0.004533,
        0.00463906,
        0.00424797,
        0.00379768,
        0.003779,
        0.00379179,
        0.00396009,
        0.00384558,
        0.00394638,
        0.00401998,
        0.00407936,
        0.00427006,
        0.00455832,
        0.00536491,
        0.00578915,
        0.00649182,
        0.00766813,
        0.00788379,
        0.00640521,
        0.00495486,
        0.00461366,
        0.00457724,
        0.00448037,
        0.00403227,
        0.00382485,
        0.00396382,
        0.00393388,
        0.00370481,
        0.00373798,
        0.00347192,
        0.00353917,
        0.00382283,
        0.00383145,
        0.00403981,
        0.00418099,
        0.00403605,
        0.00398656,
        0.00372771,
        0.00393424,
        0.00429118,
        0.00493922,
        0.00593031,
        0.00649021,
        0.00561266,
        0.00473519,
        0.00436337,
        0.00399783,
        0.0039258,
        0.00385042,
        0.00395922,
        0.00403492,
        0.0042313,
        0.00435467,
        0.00427885,
        0.00416392,
        0.00415404,
        0.00430674,
        0.00424575,
        0.00451657,
        0.00444169,
        0.00470338,
        0.00464543,
        0.00460267,
        0.00516362,
        0.00571813,
        0.00539579,
        0.00581473,
        0.00603143,
        0.00577835,
        0.00534741,
        0.00476898,
        0.00462193,
        0.00455868,
        0.00457581,
        0.00473422,
        0.00485574,
        0.00530852,
        0.00545049,
        0.00520577,
        0.00466081,
        0.00446428,
        0.0042364,
        0.00425917,
        0.0042519,
        0.00420538,
        0.0044092,
        0.00419396,
        0.00457409,
        0.00481002,
        0.00452039,
        0.00452311,
        0.00455554,
        0.00467772,
        0.00465846,
        0.00509086,
        0.00558912,
        0.00617956,
        0.00699007,
        0.00770648,
        0.00642988,
        0.00557387,
        0.00497501,
        0.00493587,
        0.00497714,
        0.00501709,
        0.00486786,
        0.00462659,
        0.00468794,
        0.00459387,
        0.00483363,
        0.00479952,
        0.00468496,
        0.00496774,
        0.00490574,
        0.00495501,
        0.00484735,
        0.00475008,
        0.00423925,
        0.00413225,
        0.00458277,
        0.00539361,
        0.00588664,
        0.00622464,
        0.00580864,
        0.0061142,
        0.00688932,
        0.00815814,
        0.0107128,
        0.0107321,
        0.00839107,
        0.00625868,
        0.00609042,
        0.00623185,
        0.00649724,
        0.00672043,
        0.00697146,
        0.00758141,
        0.00772251,
        0.0076218,
        0.00835216,
        0.0101612,
        0.0124903,
        0.0142789,
        0.0200428,
        0.0158203,
        0.0117829,
        0.00952873,
        0.00826424,
        0.00701229,
        0.00667524,
        0.0066105,
        0.00555885,
        0.00509181,
        0.00498269,
        0.00458044,
        0.00460081,
        0.00430617,
        0.00424193,
        0.00415417,
        0.00421669,
        0.00440619,
        0.00451657,
        0.00427419,
        0.00409971,
        0.00406349,
        0.00421359,
        0.00443385,
        0.00466059,
        0.0048516,
        0.00568599,
        0.00575193,
        0.00574193,
        0.0056077,
        0.00547419,
        0.00535228,
        0.00647872,
        0.00767513,
        0.00714887,
        0.0060514,
        0.00513257,
        0.00475328,
        0.00523086,
        0.00607435,
        0.00741756,
        0.00901632,
        0.00794448,
        0.00641945,
        0.0051978,
        0.00503379,
        0.00500154,
        0.00517991,
        0.00514908,
        0.00515683,
        0.00496937,
        0.00495645,
        0.00507422,
        0.00467915,
        0.00472112,
        0.00478966,
        0.00501438,
        0.00494188,
        0.00457763,
        0.00441532,
        0.00455868,
        0.00454863,
        0.00448059,
        0.00459485,
        0.0047424,
        0.00475004,
        0.00450978,
        0.00426062,
        0.00424764,
        0.00423261,
        0.00428418,
        0.00483201,
        0.00497157,
        0.00469067,
        0.00475635,
        0.0051748,
        0.00603971,
        0.00756517,
        0.00972972,
        0.0115666,
        0.011249,
        0.00805449,
        0.00548136,
        0.00498396,
        0.00487729,
        0.00501621,
        0.00524376,
        0.005453,
        0.00552105,
        0.00540726,
        0.00488059,
        0.00476403,
        0.00461385,
        0.00456036,
        0.004522,
        0.00432772,
        0.00411515,
        0.00404496,
        0.00388898,
        0.00403291,
        0.00383692,
        0.00422564,
        0.00443267,
        0.00428774,
        0.00428103,
        0.0048029,
        0.00559275,
        0.00611061,
        0.00529885,
        0.0043163,
        0.00387657,
        0.00388444,
        0.00390894,
        0.0036756,
        0.00383357,
        0.0040065,
        0.00458799,
        0.00483627,
        0.00520879,
        0.00444817,
        0.00398107,
        0.00432068,
        0.00405436,
        0.00378762,
        0.00375551,
        0.00397925,
        0.00372339,
        0.00362912,
        0.00399136,
        0.00388152,
        0.00413295,
        0.00438052,
        0.00481182,
        0.00482249,
        0.00441673,
        0.00413429,
        0.00414968,
        0.00403632,
        0.00437601,
        0.00430227,
        0.00560492,
        0.00609577,
        0.00586528,
        0.00483427,
        0.00438234,
        0.00426954,
        0.00392617,
        0.00397762,
        0.00420873,
        0.00422651,
        0.00433637,
        0.00486544,
        0.00492153,
        0.00446965,
        0.00413078,
        0.00435261,
        0.004249,
        0.00438052,
        0.00435697,
        0.00499914,
        0.00588887,
        0.00731619,
        0.00660926,
        0.00560274,
        0.00490354,
        0.00442391,
        0.00430309,
        0.00423366,
        0.00416597,
        0.00417409,
        0.0041316,
        0.0039117,
        0.00404247,
        0.00410522,
        0.00434033,
        0.00566173,
        0.00545156,
        0.00800261,
        0.013406,
        0.00637335,
        0.00621821,
        0.00632056,
        0.00578135,
        0.00486879,
        0.00449809,
        0.00441523,
        0.00456331,
        0.00442664,
        0.0045277,
        0.00478879,
        0.00483443,
        0.00543749,
        0.00702057,
        0.00944983,
        0.0100574,
        0.00721901,
        0.00546521,
        0.004791,
        0.00442334,
        0.00418342,
        0.00430087,
        0.00398724,
        0.0039699,
        0.00420845,
        0.00441614,
        0.00403833,
        0.00383167,
        0.00403566,
        0.00418328,
        0.00413868,
        0.00473692,
        0.00562199,
        0.00671861,
        0.00617396,
        0.00489082,
        0.00454103,
        0.00465245,
        0.00479198,
        0.00486301,
        0.00471294,
        0.00452325,
        0.0042457,
        0.00436006,
        0.00402084,
        0.00398629,
        0.00389071,
        0.00385781,
        0.00391281,
        0.00395499,
        0.0037235,
        0.0037099,
        0.00389266,
        0.00375415,
        0.00378783,
        0.00427632,
        0.00503147,
        0.00511795,
        0.00454973,
        0.00386203,
        0.00372551,
        0.00405621,
        0.00410616,
        0.00377393,
        0.0037566,
        0.00427916,
        0.00508315,
        0.00617836,
        0.0057865,
        0.00460537,
        0.00495893,
        0.00594859,
        0.00723317,
        0.00734011,
        0.00625002,
        0.00515434,
        0.00498999,
        0.00528971,
        0.00497621,
        0.00506306,
        0.00525878,
        0.0053376,
        0.00593667,
        0.00546807,
        0.00487912,
        0.00497933,
        0.0047566,
        0.00497664,
        0.00488872,
        0.00479003,
        0.00495688,
        0.00509478,
        0.00501273,
        0.00510332,
        0.00483514,
        0.00489359,
        0.00487176,
        0.00470458,
        0.0048977,
        0.00517868,
        0.00524911,
        0.00492949,
        0.00463977,
        0.00538311,
        0.0051728,
        0.00501109,
        0.00518992,
        0.00517939,
        0.00511623,
        0.00560649,
        0.00679114,
        0.00797439,
        0.00892641,
        0.00910164,
        0.00976914,
        0.0106145,
        0.0128283,
        0.0129842,
        0.0111966,
        0.00973004,
        0.00926787,
        0.0102181,
        0.0124608,
        0.0145112,
        0.0145731,
        0.017236,
        0.0231432,
        0.0181907,
        0.014583,
        0.0119425,
        0.0110172,
        0.011575,
        0.0130409,
        0.0138076,
        0.0121555,
        0.00889844,
        0.00726129,
        0.00663522,
        0.00580787,
        0.00561039,
        0.00541447,
        0.00533995,
        0.00517577,
        0.00526538,
        0.00498535,
        0.00463546,
        0.00443948,
        0.00449934,
        0.00429716,
        0.0046628,
        0.00464466,
        0.00466748,
        0.00464264,
        0.00485538,
        0.00539783,
        0.00613143,
        0.0057685,
        0.00514109,
        0.0043694,
        0.0043245,
        0.00430479,
        0.00447923,
        0.00454439,
        0.00423518,
        0.00456777,
        0.00468432,
        0.00582723,
        0.00709326,
        0.00784912,
        0.00626285,
        0.00528528,
        0.00461559,
        0.00453077,
        0.00427827,
        0.0043042,
        0.00451917,
        0.00441866,
        0.0042833,
        0.00440684,
        0.00416407,
        0.00383819,
        0.00387561,
        0.00447702,
        0.0051025,
        0.00640543,
        0.00786169,
        0.0071614,
        0.00545622,
        0.00487927,
        0.00473773,
        0.00429942,
        0.00418842,
        0.00382153,
        0.00442635,
        0.00461617,
        0.00449822,
        0.0042244,
        0.00417922,
        0.00447929,
        0.00460724,
        0.00450176,
        0.00426057,
        0.0044868,
        0.0044699,
        0.0042573,
        0.00427578,
        0.00448219,
        0.00458037,
        0.00477946,
        0.004884,
        0.00518923,
        0.00588728,
        0.00687231,
        0.00642696,
        0.0055836,
        0.00480143,
        0.00477633,
        0.00471178,
        0.00563091,
        0.00566901,
        0.0060618,
        0.00569354,
        0.00521222,
        0.00487055,
        0.00481269,
        0.00525602,
        0.00524269,
        0.0053529,
        0.00551078,
        0.00641005,
        0.00904047,
        0.01106,
        0.0113893,
        0.0118176,
        0.00941514,
        0.0067794,
        0.00618248,
        0.00592216,
        0.00553465,
        0.00552546,
        0.00549197,
        0.00586977,
        0.00631393,
        0.0063413,
        0.00613429,
        0.006226,
        0.00685902,
        0.00815474,
        0.00868526,
        0.00783315,
        0.00652873,
        0.00579869,
        0.0052921,
        0.00519924,
        0.00504443,
        0.00501771,
        0.00496901,
        0.00493781,
        0.00515779,
        0.00491262,
        0.00524235,
        0.00535524,
        0.00547699,
        0.0059032,
        0.00636586,
        0.00724764,
        0.00879061,
        0.0108957,
        0.0114035,
        0.0111743,
        0.0141009,
        0.0184074,
        0.0185229,
        0.0192218,
        0.0192112,
        0.0184945,
        0.0160012,
        0.0110638,
        0.00879238,
        0.00767381,
        0.00653852,
        0.00584547,
        0.00566944,
        0.00557548,
        0.00478519,
        0.00458914,
        0.00511042,
        0.00459211,
        0.00456531,
        0.00434632,
        0.00461374,
        0.0042328,
        0.00406012,
        0.00400223,
        0.00464117,
        0.00471111,
        0.00446509,
        0.00441741,
        0.00406984,
        0.00393301,
        0.00403378,
        0.00396775,
        0.00388538,
        0.00384493,
        0.00370586,
        0.00411467,
        0.00400484,
        0.00418491,
        0.0039663,
        0.00406018,
        0.00419843,
        0.00435336,
        0.0042869,
        0.00423606,
        0.0042501,
        0.00463737,
        0.00534329,
        0.0062303,
        0.00645177,
        0.00603961,
        0.00559467,
        0.0056661,
        0.00727244,
        0.00957543,
        0.0098032,
        0.00765198,
        0.00591329,
        0.00503958,
        0.00508264,
        0.00495384,
        0.00472135,
        0.00460044,
        0.00461225,
        0.0044393,
        0.00443838,
        0.00462374,
        0.00463731,
        0.00476873,
        0.00452944,
        0.00432011,
        0.0043574,
        0.00413143,
        0.00406721,
        0.00428425,
        0.00503724,
        0.00495365,
        0.00494665,
        0.00465566,
        0.00455405,
        0.00450154,
        0.00517898,
        0.00430433,
        0.00504709,
        0.00564644,
        0.00575276,
        0.00535536,
        0.00474391,
        0.0041913,
        0.00418374,
        0.00418636,
        0.00431061,
        0.00436052,
        0.00420354,
        0.00402705,
        0.00416686,
        0.00413855,
        0.00415893,
        0.00423181,
        0.00402449,
        0.00431123,
        0.0049345,
        0.0055311,
        0.00530065,
        0.00495625,
        0.00430737,
        0.00451209,
        0.00502323,
        0.00494651,
        0.00473959,
        0.00477753,
        0.00479349,
        0.00496716,
        0.00481399,
        0.00468843,
        0.00464299,
        0.00455187,
        0.00525144,
        0.00627919,
        0.00688455,
        0.00678297,
        0.00593355,
        0.00501356,
        0.00451302,
        0.00411082,
        0.00419718,
        0.00437497,
        0.00446594,
        0.00427005,
        0.00422617,
        0.00464364,
        0.00585274,
        0.00662466,
        0.00698141,
        0.00604122,
        0.00472873,
        0.00414589,
        0.00436901,
        0.00419754,
        0.00453245,
        0.00374431,
        0.00347545,
        0.00400889,
        0.00405312,
        0.00415708,
        0.00430016,
        0.00438104,
        0.00430395,
        0.00429254,
        0.00442045,
        0.00463858,
        0.0046616,
        0.00468443,
        0.00502255,
        0.00560837,
        0.00649555,
        0.00793786,
        0.00955909,
        0.0078945,
        0.00746308,
        0.00701658,
        0.00656145,
        0.00568618,
        0.00540051,
        0.00554482,
        0.0059542,
        0.00585074,
        0.00577581,
        0.00641967,
        0.00683248,
        0.00725934,
        0.00769261,
        0.0084825,
        0.00906958,
        0.0105433,
        0.0111504,
        0.0128501,
        0.0170464,
        0.0257061,
        0.0286429,
        0.0205884,
        0.015534,
        0.0125575,
        0.0110794,
        0.0116594,
        0.0121298,
        0.0126689,
        0.0126618,
        0.0108333,
        0.00852407,
        0.00733218,
        0.00670569,
        0.00622049,
        0.00604515,
        0.0058225,
        0.00576564,
        0.0054945,
        0.00527673,
        0.00520577,
        0.00570275,
        0.00651668,
        0.00633385,
        0.00545226,
        0.00501293,
        0.00477711,
        0.00478282,
        null,
        0.00462508,
        0.00446584,
        0.0043066,
        0.00435345,
        0.00470489,
        0.00449403,
        0.00475101,
        0.00478011,
        0.0055437,
        0.00500554,
        0.00540194,
        0.00536877,
        0.00490154,
        0.00471854,
        0.00510039,
        0.00564787,
        0.00594741,
        0.00656135,
        0.00639541,
        0.00713282,
        0.00524229,
        0.00507815,
        0.00570025,
        0.00530316,
        0.00509095,
        0.00630171,
        0.00776213,
        0.00772383,
        0.00675663,
        0.00648902,
        0.00600118,
        0.00600551,
        0.00508808,
        0.00488779,
        0.00477436,
        0.00498399,
        0.00505554,
        0.00506626,
        0.00522857,
        0.00488754,
        0.00403754,
        0.00428875,
        0.00444451,
        0.00513863,
        0.00451582,
        0.00444529,
        0.00517398,
        0.00499989,
        0.00509535,
        0.00465182,
        0.00419631,
        0.00421997,
        0.00440178,
        0.00509462,
        0.00564992,
        0.00553213,
        0.00431732,
        0.00494372,
        0.00669861,
        0.0067801,
        0.00692154,
        0.00575932,
        0.00462797,
        0.00407499,
        0.00386405,
        0.00462325,
        0.00495464,
        0.00428976,
        0.0044401,
        0.00448398,
        0.00497238,
        0.00577805,
        0.00508884,
        0.00437581,
        0.00405382,
        0.00381402,
        0.00374724,
        0.00417498,
        0.00451613,
        0.00364304,
        0.00461707,
        0.00427177,
        0.00409044,
        0.00373496,
        0.00390283,
        0.00443147,
        0.00454619,
        0.00433116,
        0.00429545,
        0.00443939,
        0.00451893,
        0.00493329,
        0.00607748,
        0.00697369,
        0.00515459,
        0.00472978,
        0.00445612,
        0.0041505,
        0.00432947,
        0.00517679,
        0.00609118,
        0.00653639,
        0.00631972,
        0.00525354,
        0.00399795,
        0.00422422,
        0.00369877,
        0.00360008,
        0.00333464,
        0.00354042,
        0.00418134,
        0.0043416,
        0.00406274,
        0.00383426,
        0.00395102,
        0.00412862,
        0.0039137,
        0.00423434,
        0.00485353,
        0.00430854,
        0.00426101,
        0.00454612,
        0.00475475,
        0.00426513,
        0.00414544,
        0.003817,
        0.00367019,
        0.00411667,
        0.00422085,
        0.00420383,
        0.00377987,
        0.00375835,
        0.00395074,
        0.00519108,
        0.00619228,
        0.00616963,
        0.00625474,
        0.00619939,
        0.00535546,
        0.00479638,
        0.0051037,
        0.00495288,
        0.00447488,
        0.00448377,
        0.00444811,
        0.00478219,
        0.00433802,
        0.00415011,
        0.00392016,
        0.00395507,
        0.00399877,
        0.004272,
        0.00468519,
        0.00473173,
        0.00439286,
        0.00410367,
        0.00472714,
        0.00424192,
        0.00445028,
        0.00423702,
        0.00423143,
        0.00453914,
        0.00475261,
        0.00576127,
        0.00654017,
        0.00607937,
        0.00522332,
        0.00476506,
        0.00468098,
        0.00512158,
        0.00526282,
        0.00521819,
        0.00513901,
        0.00570962,
        0.00591304,
        0.00666041,
        0.00746185,
        0.00670937,
        0.00520891,
        0.00464768,
        0.00462808,
        0.0054572,
        0.00763204,
        0.0065379,
        0.00573127,
        0.00511493,
        0.00501067,
        0.00514731,
        0.00583785,
        0.00686911,
        0.00697362,
        0.00582881,
        0.00484032,
        0.00493483,
        0.00505587,
        0.0050333,
        0.0051541,
        0.00479894,
        0.00467292,
        0.00596224,
        0.00626238,
        0.00630377,
        0.00630791,
        0.00579914,
        0.00549772,
        0.00635574,
        0.00740069,
        0.00758416,
        0.00938176,
        0.0123435,
        0.00854202,
        0.00735638,
        0.0061061,
        0.00521925,
        0.00571167,
        0.00488525,
        0.00449939,
        0.00451865,
        0.00478259,
        0.00522775,
        0.00484944,
        0.0046593,
        0.00485345,
        0.00410524,
        0.00359754,
        0.00436986,
        0.00426439,
        0.00369383,
        0.0046387,
        0.00409144,
        0.00403519,
        0.0039078,
        0.00396574,
        0.00417186,
        0.00429469,
        0.00447096,
        0.00463065,
        0.004278,
        0.00381663,
        0.00403596,
        0.00422474,
        0.00433017,
        0.00456956,
        0.00435496,
        0.00454305,
        0.00448577,
        0.00482585,
        0.00538869,
        0.00543863,
        0.00479791,
        0.00396119,
        0.00366069,
        0.00382341,
        0.00371967,
        0.00385692,
        0.00454707,
        0.00469688,
        0.00654862,
        0.00755954,
        0.00661261,
        0.00518347,
        0.00453963,
        0.00461864,
        0.00458261,
        0.00404203,
        0.00376604,
        0.00363026,
        0.00392199,
        0.0032571,
        0.00337691,
        0.00358166,
        0.00328611,
        0.0037168,
        0.00402181,
        0.00380342,
        0.00361707,
        0.00354169,
        0.0033056,
        0.00344695,
        0.00405152,
        0.00359891,
        0.00391667,
        0.00391103,
        0.004151,
        0.00428296,
        0.0049383,
        0.00491473,
        0.00458219,
        0.00471976,
        0.00489583,
        0.00486964,
        0.0055111,
        0.00654406,
        0.00665963,
        0.0061527,
        0.00580551,
        0.00486866,
        0.0054428,
        0.00492655,
        0.00479227,
        0.00504567,
        0.00589837,
        0.00568944,
        0.00472954,
        0.00461305,
        0.00432309,
        0.00477527,
        0.00450142,
        0.00468118,
        0.00578842,
        0.00559528,
        0.00533108,
        0.00545969,
        0.0053144,
        0.00491774,
        0.00491011,
        0.00480662,
        0.00489189,
        0.0057275,
        0.00575817,
        0.00558678,
        0.00540926,
        0.00509496,
        0.00473513,
        0.00500019,
        0.00641113,
        0.00795494,
        0.00994553,
        0.011453,
        0.0120448,
        0.0108614,
        0.00866861,
        0.00720564,
        0.00591344,
        0.00674873,
        0.00631631,
        0.00584277,
        0.00799868,
        0.00817933,
        0.00912254,
        0.00729143,
        0.0065828,
        0.00762213,
        0.00805703,
        0.00765968,
        0.00780242,
        0.00860909,
        0.0092837,
        0.00926789,
        0.00837639,
        0.0102526,
        0.0100563,
        0.0126994,
        0.0128668,
        0.0130819,
        0.0107075,
        0.0120423,
        0.0137605,
        0.013551,
        0.0152339,
        0.0196462,
        0.0133558,
        0.0107322,
        0.00989079,
        0.00829223,
        0.00761608,
        0.00728151,
        0.00646335,
        0.00555031,
        0.00493665,
        0.00434406,
        0.00407684,
        0.00471183,
        0.00452907,
        0.00386126,
        0.00449791,
        0.00408733,
        0.00401165,
        0.00463528,
        0.00451758,
        0.0051521,
        0.00648709,
        0.00658604,
        0.00529705,
        0.00432819,
        0.00411838,
        0.004112,
        0.00415275,
        0.00368867,
        0.00387444,
        0.00401776,
        0.0035836,
        0.00420037,
        0.00379314,
        0.00391982,
        0.00391016,
        0.00374805,
        0.00392085,
        0.00415928,
        0.00456254,
        0.00578354,
        0.00637622,
        0.00520417,
        0.00585477,
        0.00770638,
        0.00947052,
        0.00727815,
        0.0053887,
        0.0041488,
        0.00415394,
        0.00440785,
        0.00397832,
        0.00353504,
        0.00362991,
        0.00370879,
        0.00366978,
        0.00337428,
        0.00445392,
        0.00390021,
        0.0037406,
        0.00351193,
        0.0035086,
        0.00334059,
        0.00351492,
        0.00450307,
        0.00553845,
        0.00588611,
        0.0055573,
        0.00502939,
        0.00462999,
        0.00389319,
        0.00411252,
        0.00611019,
        0.00595945,
        0.00434795,
        0.00391812,
        0.00354492,
        0.0034456,
        0.00336637,
        0.00361956,
        0.00411462,
        0.00419904,
        0.00366087,
        0.00324757,
        0.00360678,
        0.00382388,
        0.00410981,
        0.00342417,
        0.00372656,
        0.00428887,
        0.00370421,
        0.0037098,
        0.00361963,
        0.00358017,
        0.00386098,
        0.00400458,
        0.00404034,
        0.00411055,
        0.00397526,
        0.00447192,
        0.00446225,
        0.00456567,
        0.00386583,
        0.00579602,
        0.00557393,
        0.00539512,
        0.00445195,
        0.00456708,
        0.00477382,
        0.00471713,
        0.00454837,
        0.00420141,
        0.00408677,
        0.00469314,
        0.00567787,
        0.0067487,
        0.00687376,
        0.00638372,
        0.00478732,
        0.00475343,
        0.00526899,
        0.00451535,
        0.00451715,
        0.00458295,
        0.00514853,
        0.00545027,
        0.00551078,
        0.00635051,
        0.00625171,
        0.0046636,
        0.00415607,
        0.00445168,
        0.00396832,
        0.00364665,
        0.00398043,
        0.00381241,
        0.00347826,
        0.00369255,
        0.00416395,
        0.00426443,
        0.00402439,
        0.00383379,
        0.00388404,
        0.00391842,
        0.00364812,
        0.00421974,
        0.00442163,
        0.00441814,
        0.00377248,
        0.00440058,
        0.00445815,
        0.0039678,
        0.0037415,
        0.00402598,
        0.00388873,
        0.0038139,
        0.00415974,
        0.00453063,
        0.00504209,
        0.00484285,
        0.00501283,
        0.00501921,
        0.00551646,
        0.00563535,
        0.00612295,
        0.0060121,
        0.00624246,
        0.00612454,
        0.00665644,
        0.00638596,
        0.00567086,
        0.00484317,
        0.00450368,
        0.00485344,
        0.00447876,
        0.00446581,
        0.00492399,
        0.00490039,
        0.00453204,
        0.0054618,
        0.00658558,
        0.00766121,
        0.0086218,
        0.00783063,
        0.00730477,
        0.00575424,
        0.00479991,
        0.00445399,
        0.00418392,
        0.00473745,
        0.00375165,
        0.00372603,
        0.00437575,
        0.00495895,
        0.00399771,
        0.003425,
        0.00391757,
        0.00439305,
        0.00408131,
        0.004175,
        0.00355669,
        0.00345281,
        0.00403508,
        0.00448956,
        0.00453234,
        0.00407756,
        0.00405479,
        0.00427926,
        0.00403823,
        0.00407875,
        0.0038973,
        0.00504151,
        0.00474428,
        0.00438136,
        0.00425772,
        0.00485863,
        0.00434314,
        0.00369709,
        0.00364322,
        0.00404992,
        0.00440534,
        0.00391956,
        0.00433866,
        0.0043238,
        0.00497137,
        0.00537226,
        0.00600984,
        0.00474054,
        0.00408434,
        0.00453998,
        0.00372292,
        0.00445173,
        0.00437364,
        0.00378331,
        0.00390927,
        0.00436375,
        0.0046964,
        0.00433384,
        0.00375485,
        0.00456421,
        0.00457094,
        0.00489283,
        0.00478711,
        0.00460411,
        0.00352499,
        0.0041787,
        0.00513477,
        0.00540821,
        0.00511646,
        0.00508894,
        0.00488034,
        0.00456842,
        0.00452144,
        0.00405898,
        0.0045231,
        0.00557206,
        0.00720693,
        0.00777281,
        0.00677535,
        0.00558683,
        0.00456992,
        0.00446593,
        0.00466267,
        0.00449139,
        0.00455968,
        0.00462323,
        0.00478101,
        0.00479488,
        0.00467645,
        0.00529711,
        0.00553495,
        0.0052431,
        0.00512343,
        0.00499687,
        0.00575944,
        0.00531693,
        0.00532506,
        0.00713219,
        0.00709233,
        0.00602229,
        0.00554577,
        0.00595917,
        0.00712086,
        0.00938309,
        0.0119944,
        0.0128207,
        0.0108602,
        0.00755513,
        0.00755624,
        0.0069846,
        0.00782626,
        0.00800507,
        0.00843506,
        0.00995247,
        0.014398,
        0.0120864,
        0.0090224,
        0.00944992,
        0.00757031,
        0.00694563,
        0.00836498,
        0.00651051,
        0.0081153,
        0.00956962,
        0.0116487,
        0.012039,
        0.0108784,
        0.00934377,
        0.00916495,
        0.00933232,
        0.00871555,
        0.0085624,
        0.00873055,
        0.0101365,
        0.0109034,
        0.0125361,
        0.0150324,
        0.0138214,
        0.0138537,
        0.014855,
        0.0170938,
        0.0161863,
        0.016955,
        0.0179357,
        null,
        0.0113699,
        0.0102894,
        0.00902665,
        0.0098482,
        0.00839841,
        0.00657774,
        0.00745112,
        0.00752431,
        0.0077569,
        0.00744687,
        0.00646926,
        0.00617425,
        0.00604159,
        0.0056017,
        0.00616922,
        0.00708836,
        0.00623288,
        0.00681125,
        0.00624543,
        0.00591546,
        0.00620888,
        0.00724951,
        0.00645928,
        0.00746314,
        0.00812549,
        0.00706714,
        0.00607735,
        0.00538444,
        0.00473126,
        0.00497674,
        0.00572837,
        0.00592192,
        0.00626306,
        0.00619208,
        0.00625094,
        0.00473024,
        0.00506413,
        0.00462752,
        0.00451148,
        0.00383196,
        0.00445342,
        0.00505551,
        0.00481176,
        0.00450756,
        0.0047243,
        0.00436739,
        0.00368008,
        0.00375959,
        0.00428655,
        0.00474767,
        0.0046321,
        0.00433416,
        0.00480237,
        0.00465533,
        0.00458504,
        0.00463957,
        0.00442991,
        0.0047373,
        0.00453993,
        0.0047344,
        0.00445356,
        0.00395862,
        0.00412667,
        0.00430913,
        0.00425802,
        0.00418655,
        0.00430444,
        0.00480399,
        0.00430759,
        0.00459203,
        0.00395867,
        0.00434671,
        0.00392298,
        0.00520093,
        0.00589746,
        0.00536738,
        0.00465819,
        0.00472407,
        0.00441604,
        0.00434701,
        0.00456586,
        0.00484547,
        0.00490235,
        0.00453482,
        0.00419547,
        0.00437175,
        0.00447231,
        0.0039305,
        0.00416429,
        0.00411632,
        0.00430766,
        0.00353629,
        0.0045984,
        0.00422403,
        0.00409113,
        0.00418701,
        0.00471121,
        0.00429021,
        0.00431251,
        0.00470473,
        0.00467796,
        0.00446473,
        0.00463214,
        0.00550576,
        0.00680926,
        0.00778389,
        0.00767611,
        0.00713548,
        0.0060583,
        0.00539719,
        0.00613185,
        0.00681221,
        0.00688665,
        0.00762353,
        0.00768164,
        0.0112016,
        0.0157712,
        0.016745,
        0.0154896,
        0.0122517,
        0.00843921,
        0.00737545,
        0.00697467,
        0.00629683,
        0.00843465,
        0.00881191,
        0.00656216,
        0.00614093,
        0.00511477,
        0.00496926,
        0.00521126,
        0.00459665,
        0.00481774,
        0.00582057,
        0.00547577,
        0.00516705,
        0.00499355,
        0.00547162,
        0.00707926,
        0.00827676,
        0.00824786,
        0.00837577,
        0.00827978,
        0.00643829,
        0.00538635,
        0.00523773,
        0.00587769,
        0.00824697,
        0.00593076,
        0.00492997,
        0.00386654,
        0.00431166,
        0.00457746,
        0.00439918,
        0.00473467,
        0.00416454,
        0.00415817,
        0.0047313,
        0.00487414,
        0.00476049,
        0.0041701,
        0.00459173,
        0.00499647,
        0.00546409,
        0.00612664,
        0.00596698,
        0.00480547,
        0.00439435,
        0.00480331,
        0.00433746,
        0.00443092,
        0.00446663,
        0.00366061,
        0.0035228,
        0.00406347,
        0.00419609,
        0.00433234,
        0.00447922,
        0.00453196,
        0.00495553,
        0.00489778,
        0.00499605,
        0.00536297,
        0.00461936,
        0.00474712,
        0.00422832,
        0.00454691,
        0.00489493,
        0.00509725,
        0.004957,
        0.00468429,
        0.0047941,
        0.0046279,
        0.00482981,
        0.00494428,
        0.00475081,
        0.00489045,
        0.00511104,
        0.0053622,
        0.00574456,
        0.00490534,
        0.004429,
        0.0044451,
        0.00560649,
        0.00612031,
        0.00578317,
        0.0058332,
        0.00516837,
        0.00451069,
        0.00477128,
        0.00517784,
        0.00506255,
        0.00533874,
        0.00570098,
        0.00552309,
        0.00565497,
        0.00734057,
        0.0085014,
        0.00740696,
        0.00649894,
        0.0057776,
        0.00582301,
        0.00580915,
        0.00592972,
        0.00629457,
        0.00585852,
        0.0055678,
        0.00626278,
        0.00671222,
        0.00773842,
        0.00685356,
        0.00723591,
        0.00845342,
        0.0101738,
        0.011319,
        0.0108618,
        0.00947762,
        0.00969346,
        0.0113922,
        0.0123339,
        0.0139946,
        0.0153109,
        0.0194896,
        0.0204703,
        0.0178948,
        0.0137682,
        0.0121573,
        0.0121351,
        0.0105076,
        0.00859819,
        0.00880963,
        0.00913209,
        0.0085965,
        0.00796551,
        null,
        0.00372523,
        0.00379877,
        0.0038723,
        0.00415417,
        0.00424578,
        0.00383401,
        0.00442255,
        0.00430319,
        0.00356326,
        0.00365747,
        0.00384685,
        0.00401856,
        0.00378204,
        0.00376967,
        0.00416679,
        0.00375071,
        0.00383108,
        0.00403619,
        0.00506959,
        0.0055506,
        0.00480123,
        0.00465513,
        0.00407338,
        0.00390149,
        0.00461161,
        0.00469137,
        0.00420831,
        0.0040959,
        0.0041969,
        0.00427993,
        0.00427495,
        0.00426337,
        0.00440217,
        0.00475594,
        0.00469856,
        0.00496635,
        0.00371235,
        0.00422314,
        0.0035697,
        0.00462848,
        0.00410676,
        0.00464504,
        0.00437695,
        0.0046319,
        0.0058327,
        0.00623402,
        0.00556739,
        0.00511579,
        0.00498495,
        0.0046481,
        0.00516184,
        0.00518317,
        0.00522699,
        0.00537523,
        0.00490917,
        0.00562613,
        0.00689,
        0.00709909,
        0.00710738,
        0.00781271,
        0.00700339,
        0.00838682,
        0.00868152,
        0.00889581,
        0.0107436,
        0.0159811,
        0.0150005,
        0.0127254,
        0.0105,
        0.00890283,
        0.00787566,
        0.00726034,
        0.00603314,
        0.00545308,
        0.00568141,
        0.00564711,
        0.00532222,
        0.00519961,
        0.00553918,
        0.00501944,
        0.00472174,
        0.00474464,
        0.00464993,
        0.00554419,
        0.00518078,
        0.00455539,
        0.0054073,
        0.00463442,
        0.0061507,
        0.00813215,
        0.0087121,
        0.00714771,
        0.0064131,
        0.00569143,
        0.00445096,
        0.00437937,
        0.0044194,
        0.00480755,
        0.00584306,
        0.00605925,
        0.00531859,
        0.00501074,
        0.00488393,
        0.00444988,
        0.00416181,
        0.00429321,
        0.00466242,
        0.00448556,
        0.00477691,
        0.00436595,
        0.00415121,
        0.00559982,
        0.00613339,
        0.00569286,
        0.00631731,
        0.00584693,
        0.00510026,
        0.00446791,
        0.00504699,
        0.00504452,
        0.00422739,
        0.00425687,
        0.00430298,
        0.00496491,
        0.0048186,
        0.00532208,
        0.00534994,
        0.00571306,
        0.00570739,
        0.0048771,
        0.00489441,
        0.00509918,
        0.00495391,
        0.00530559,
        0.0048495,
        0.00457035,
        0.0050229,
        0.00448382,
        0.0038106,
        0.00392613,
        0.00380835,
        0.00407134,
        0.00468232,
        0.00439444,
        0.00423506,
        0.00391291,
        0.00431018,
        0.00406838,
        0.0042225,
        0.00465659,
        0.00481297,
        0.00503009,
        0.00530746,
        0.00481187,
        0.00430057,
        0.00433002,
        0.00439343,
        0.00490748,
        0.0051901,
        0.00478397,
        0.00515411,
        0.00634043,
        0.00665108,
        0.00575761,
        0.00457283,
        0.00438632,
        0.00462109,
        0.00473644,
        0.00386086,
        0.00346909,
        0.00466406,
        0.00450989,
        0.00405746,
        0.0037747,
        0.00367433,
        0.00384019,
        0.00367477,
        0.00338081,
        0.00326261,
        0.00406648,
        0.00453913,
        0.00437093,
        0.00358345,
        0.00378967,
        0.00390656,
        0.00406865,
        0.00442333,
        0.00500181,
        0.00456337,
        0.00348413,
        0.00350766,
        0.00387806,
        0.00421605,
        0.00474618,
        0.00438882,
        0.00409377,
        0.00458541,
        0.00386215,
        0.00395033,
        0.00426563,
        0.00433247,
        0.003951,
        0.00386563,
        0.0053047,
        0.00565682,
        0.00544637,
        0.0048699,
        0.00475689,
        0.0045399,
        0.00422807,
        0.00377077,
        0.00361627,
        0.00413888,
        0.00405391,
        0.00438496,
        0.00502133,
        0.00518501,
        0.00641061,
        0.00703661,
        0.00857306,
        0.0101077,
        0.00786488,
        0.00739985,
        0.00782432,
        0.00773854,
        0.00724561,
        0.00717193,
        0.00839583,
        0.00864611,
        0.0104554,
        0.0120454,
        0.017599,
        0.0162628,
        0.0126334,
        0.0115917,
        0.0104905,
        0.00960051,
        0.0102014,
        0.00960713,
        0.00764532,
        0.00641499,
        0.00618395,
        0.00564803,
        0.00557195,
        0.00562935,
        0.00636865,
        0.0059871,
        0.00635081,
        0.00571761,
        0.00539532,
        0.0045318,
        0.00460166,
        0.00629148,
        0.00595137,
        0.00550014,
        0.00481404,
        0.00480034,
        0.00500911,
        0.00599936,
        0.00670172,
        0.00821471,
        0.00837434,
        0.00784801,
        0.00871555,
        0.0119745,
        0.0163068,
        0.0166229,
        0.0143751,
        0.0135723,
        0.0132849,
        0.013867,
        0.0156208,
        0.0196016,
        0.0186228,
        0.0171642,
        0.0126643,
        0.0115002,
        0.00975655,
        0.00860617,
        0.00767627,
        0.00697985,
        0.00674457,
        0.00676402,
        0.00703216,
        0.00769128,
        0.00715151,
        0.00581784,
        0.00522114,
        0.00516752,
        0.00507086,
        0.00487548,
        0.00469374,
        0.00468934,
        0.00475832,
        0.00389338,
        0.00392858,
        0.00408829,
        0.00424323,
        0.00445315,
        0.00396625,
        0.00506301,
        0.0040274,
        0.00355,
        0.00388137,
        0.00376444,
        0.00381925,
        0.00454546,
        0.00384262,
        0.00425906,
        0.00457417,
        0.00519223,
        0.00481864,
        0.00457245,
        0.00402634,
        0.00368073,
        0.00352973,
        0.00361167,
        0.00401587,
        0.00444268,
        0.00401317,
        0.00571429,
        0.00562789,
        0.00498642,
        0.00419833,
        0.0043644,
        0.00444516,
        0.00578436,
        0.00580318,
        0.00472429,
        0.00419262,
        0.00408711,
        0.0042808,
        0.00448014,
        0.00426963,
        0.00479756,
        0.00529807,
        0.0056494,
        0.00558833,
        0.00465802,
        0.00437078,
        0.004374,
        0.00422876,
        0.00486155,
        0.00479521,
        0.00457908,
        0.00440611,
        0.00439199,
        0.0053164,
        0.00618596,
        0.00565895,
        0.00505951,
        0.00516428,
        0.00499121,
        0.00514756,
        0.00432129,
        0.00494172,
        0.00586924,
        0.00511189,
        0.00543289,
        0.00665673,
        0.00557442,
        0.00660431,
        0.00611544,
        0.00638406,
        0.00862496,
        0.00807219,
        0.00993249,
        0.0123247,
        0.0178736,
        0.0188615,
        0.0137521,
        0.0110639,
        0.00889107,
        0.00861853,
        0.00790777,
        0.00740868,
        0.00722216,
        0.00688922,
        0.00570545,
        0.00475885,
        0.00499467,
        0.00483934,
        0.00547977,
        0.00608074,
        0.00751473,
        0.00583885,
        0.0046177,
        0.00581974,
        0.00504912,
        0.00524902,
        0.00519725,
        0.00436912,
        0.00455181,
        0.0052344,
        0.00488855,
        0.00483074,
        0.00427789,
        0.00385627,
        0.00388432,
        0.00433656,
        0.00501415,
        0.00462085,
        0.00435833,
        0.00418347,
        0.00424836,
        0.00440581,
        0.00468155,
        0.00502007,
        0.00527871,
        0.00519444,
        0.00477842,
        0.0045875,
        0.00447244,
        0.00473003,
        0.00528236,
        0.00584937,
        0.00655426,
        0.00582624,
        0.00633094,
        0.00723796,
        0.00724518,
        0.00789263,
        0.00707573,
        0.0062209,
        0.00555975,
        0.00421659,
        0.00479463,
        0.00488513,
        0.00507181,
        0.00428825,
        0.00460448,
        0.00448629,
        0.00445043,
        0.00449334,
        0.00431763,
        0.00394662,
        0.00425293,
        0.00486184,
        0.00557688,
        0.00558635,
        0.00560174,
        0.00494634,
        0.00458162,
        0.00513997,
        0.00480461,
        0.00522604,
        0.004897,
        0.00497802,
        0.00557345,
        0.00609843,
        0.00660171,
        0.00666405,
        0.00663992,
        0.00635756,
        0.00609137,
        0.00585065,
        0.00595639,
        0.00596697,
        0.00535258,
        0.00519527,
        0.0053436,
        0.005725,
        0.00617712,
        0.0075896,
        0.00791931,
        0.00756152,
        0.00616178,
        0.00588807,
        0.00589125,
        0.00549919,
        0.00487382,
        0.00461578,
        0.00493553,
        0.00464789,
        0.00433467,
        0.00464554,
        0.0048725,
        0.00510691,
        0.00486266,
        0.00490808,
        0.00517494,
        0.0049779,
        0.00499178,
        0.0050968,
        0.00489087,
        0.00456063,
        0.0051468,
        0.00519713,
        0.00517583,
        0.00567991,
        0.00529031,
        0.00630735,
        0.00659343,
        0.00566141,
        0.00602595,
        0.00501152,
        0.00517372,
        0.00603606,
        0.00519739,
        0.00575087,
        0.00671224,
        0.00596412,
        0.0057847,
        0.00621314,
        0.00684852,
        0.005729,
        0.00685021,
        0.00610945,
        0.00502415,
        0.00550322,
        0.00617219,
        0.00667041,
        0.00815411,
        0.00972601,
        0.00915995,
        0.0088397,
        0.0107987,
        0.0113689,
        0.010466,
        0.00981527,
        0.00952506,
        0.00968477,
        0.0100961,
        0.00947235,
        0.00907615,
        0.00877197,
        0.00883107,
        0.00992592,
        0.0119734,
        0.0154249,
        0.0203388,
        0.0149346,
        0.0110557,
        0.0108926,
        0.00993964,
        0.0115662,
        0.0104076,
        0.0120577,
        0.0103085,
        0.0110141,
        0.00926993,
        0.00914349,
        0.0082514,
        0.00828348,
        0.00823402,
        0.00745642,
        0.007901,
        0.00707684,
        0.00726457,
        0.00574427,
        0.00510935,
        0.00621853,
        0.00599243,
        0.00555152,
        0.00583151,
        0.0056495,
        0.00748486,
        0.007421,
        0.00845392,
        0.0104637,
        0.0134585,
        0.0141513,
        0.0129709,
        0.0128261,
        0.0112355,
        0.00868975,
        0.00832167,
        0.00866642,
        0.0083107,
        0.00892813,
        0.00913323,
        0.00897947,
        0.0111544,
        0.0130238,
        0.0122289,
        0.0107253,
        0.010008,
        0.0101205,
        0.0101624,
        0.0113587,
        0.0145732,
        0.0171271,
        0.0172606,
        0.0176192,
        0.0151096,
        0.015291,
        0.0138519,
        0.0143681,
        0.0181766,
        null,
        0.0219497,
        0.0173279,
        0.0154583,
        0.0141913,
        0.0118948,
        0.00728002,
        0.00682232,
        0.00680867,
        0.00562538,
        0.00616599,
        0.00752105,
        0.00886441,
        0.00755699,
        0.00624489,
        0.00668258,
        0.00700698,
        0.00658814,
        0.00736524,
        0.00733974,
        0.00726631,
        0.00554776,
        0.00527624,
        0.00546494,
        0.00603234,
        0.00523058,
        0.00492752,
        0.00500844,
        0.00531915,
        0.00567956,
        0.00623083,
        0.00534212,
        0.00543174,
        0.00596856,
        0.00614202,
        0.0060248,
        0.00535419,
        0.0058202,
        0.00611351,
        0.00595616,
        0.005898,
        0.00575307,
        0.00540686,
        0.00559656,
        0.00682716,
        0.00745458,
        0.0075884,
        0.00719076,
        0.00698134,
        0.0071153,
        0.00660709,
        0.00631682,
        0.00618756,
        0.00541471,
        0.00504195,
        0.00549361,
        0.00531278,
        0.00482921,
        0.00492723,
        0.00471759,
        0.00466002,
        0.00534252,
        0.00611344,
        0.00593371,
        0.00509184,
        0.00528695,
        0.00623486,
        0.00640312,
        0.00628969,
        0.00565238,
        0.00505972,
        0.00590715,
        0.00747178,
        0.00860101,
        0.0088287,
        0.00761893,
        0.00603575,
        0.00585667,
        0.00565363,
        0.00652261,
        0.00651702,
        0.00651536,
        0.00643259,
        0.00663842,
        0.00579727,
        0.00702028,
        0.00739266,
        0.00754265,
        0.0069328,
        0.00634944,
        0.0063397,
        0.0052711,
        0.00583027,
        0.00551855,
        0.00521932,
        0.00607811,
        0.00555533,
        0.00461314,
        0.0046437,
        0.00438554,
        0.00525346,
        0.00511287,
        0.00505795,
        0.00555165,
        0.00440135,
        0.00531243,
        0.00508744,
        0.0049146,
        null,
        0.00754342,
        0.00745057,
        0.00735772,
        0.0067697,
        0.006241,
        0.00616187,
        0.00612043,
        0.00667792,
        0.00674944,
        0.00622305,
        0.00660581,
        0.00747382,
        0.00819692,
        0.00915624,
        0.00896773,
        0.00876357,
        0.00868629,
        0.00815944,
        0.00707567,
        0.00636171,
        0.00671135,
        0.00680169,
        0.00682645,
        0.00576814,
        0.00605931,
        0.0062344,
        0.00532772,
        0.00622625,
        0.00595624,
        0.00615173,
        0.00715326,
        0.00681772,
        0.0067881,
        0.00702819,
        0.00603181,
        0.00600224,
        0.00664607,
        0.00605904,
        0.00660241,
        0.00712577,
        0.00710866,
        0.00833038,
        0.00834923,
        0.00995511,
        0.0105864,
        0.010825,
        0.0154371,
        0.0138906,
        0.010204,
        0.00940984,
        0.00843832,
        0.00679902,
        0.0070782,
        0.00763458,
        0.00694651,
        0.00739713,
        0.00712308,
        0.00791358,
        0.0075264,
        0.0068185,
        0.00593219,
        0.00733047,
        0.00877322,
        0.00848435,
        0.00926686,
        0.0095987,
        0.0102015,
        0.0107771,
        0.010704,
        0.0137771,
        0.0168478,
        0.0211914,
        0.0257937,
        0.0220806,
        0.0159811,
        0.0146601,
        0.0138274,
        0.0109963,
        0.00865925,
        0.00860184,
        0.00916518,
        0.00888666,
        0.00889831,
        0.00917036,
        0.00814651,
        0.00734505,
        0.00661168,
        0.00663915,
        0.00682146,
        0.00701734,
        0.0069983,
        0.00672402,
        0.00670028,
        0.00633156,
        0.00612292,
        0.00605184,
        0.00667132,
        0.00739204,
        0.00728275,
        0.00719465,
        0.00709992,
        0.0065797,
        0.00634472,
        0.00645169,
        0.0058336,
        0.00613153,
        0.0063437,
        0.00639442,
        0.00612559,
        0.0058218,
        0.00503472,
        0.00569149,
        0.00586219,
        0.00582868,
        0.00589768,
        0.00557007,
        0.00586523,
        0.00660813,
        0.00529191,
        0.0059211,
        0.00657482,
        0.00647865,
        0.00689331,
        0.00724454,
        0.00766848,
        0.00729733,
        0.00927436,
        0.00824049,
        0.00724032,
        0.00625657,
        0.00674007,
        0.00642821,
        0.00623207,
        0.00607165,
        0.00524396,
        0.00578398,
        0.0049246,
        0.00569813,
        0.00566737,
        0.00612285,
        0.00707306,
        0.00650302,
        0.00703301,
        0.00528771,
        0.00583285,
        0.00637665,
        0.00623771,
        0.00578975,
        0.00587729,
        0.00675841,
        0.00715412,
        0.00837732,
        0.00676129,
        0.00823767,
        0.00778592,
        0.0071501,
        0.00577712,
        0.00648895,
        0.00625808,
        0.00565863,
        0.00540132,
        0.00597657,
        0.00558857,
        0.00574609,
        0.00585378,
        0.00596661,
        0.00625008,
        0.00651782,
        0.00647194,
        0.00633687,
        0.00621844,
        0.00618629,
        0.00656464,
        0.00678092,
        0.00704893,
        0.00689462,
        0.0070124,
        0.00674019,
        0.00656651,
        0.00621059,
        0.00626717,
        0.00578474,
        0.00636952,
        0.00642806,
        0.00699133,
        0.00725928,
        0.00637408,
        0.00619792,
        0.00612206,
        0.00591026,
        0.0072494,
        0.00601707,
        0.00596127,
        0.00564515,
        0.00578773,
        0.00641524,
        0.00629348,
        0.00647316,
        0.00564426,
        0.00509231,
        0.00679432,
        0.00647869,
        0.00662155,
        0.00724247,
        0.00729649,
        0.00641561,
        0.00722275,
        0.00645864,
        0.00682374,
        0.0068715,
        0.00739597,
        0.00669849,
        0.00688197,
        0.00731104,
        0.0073419,
        0.00781817,
        0.00792993,
        0.00824789,
        0.00767907,
        0.00794786,
        0.00874044,
        0.00983756,
        0.00988842,
        0.0102795,
        0.0106828,
        0.0126962,
        0.0147018,
        0.0187788,
        0.023031,
        0.00916664,
        0.00902871,
        0.00873997,
        0.00808117,
        0.0083743,
        0.00894185,
        0.00811181,
        0.00775571,
        0.00565602,
        0.00743266,
        0.00591482,
        0.00713358,
        0.00638028,
        0.00724723,
        0.00699284,
        0.00770528,
        0.00667976,
        0.00691949,
        0.00742172,
        0.00738259,
        0.00600747,
        0.0059554,
        0.00646873,
        0.00576079,
        0.00526644,
        0.00551062,
        0.00595951,
        0.00585423,
        0.00596336,
        0.00615322,
        0.00549262,
        0.00628295,
        0.0065154,
        0.00609364,
        0.00633986,
        0.00658088,
        0.00717451,
        0.00676372,
        0.00646187,
        0.00772374,
        0.00812516,
        0.00834987,
        0.00881638,
        0.00863978,
        0.00841919,
        0.00879874,
        0.00705804,
        0.0072675,
        0.00688651,
        0.00649944,
        0.00680172,
        0.00691887,
        0.00611837,
        0.0058513,
        0.00632338,
        0.00625676,
        0.00599664,
        0.00573363,
        0.00570292,
        0.0053122,
        0.00597113,
        0.0063548,
        0.00706847,
        0.00766245,
        0.00727748,
        0.00724852,
        0.00706192,
        0.00638289,
        0.00574012,
        0.00561204,
        0.00604003,
        0.00591467,
        0.00587037,
        0.00564299,
        0.00587362,
        0.00613592,
        0.00628813,
        0.0065385,
        0.00709804,
        0.00641153,
        0.00585795,
        0.00549246,
        0.00533322,
        0.00511419,
        0.0067282,
        0.00571496,
        0.00605478,
        0.00590312,
        0.005538,
        0.0056129,
        0.00545798,
        0.00542038,
        0.00584483,
        0.00653552,
        0.00706549,
        0.00658494,
        0.00676429,
        0.0073263,
        0.00754696,
        0.00688253,
        0.00674666,
        0.00604201,
        0.00628912,
        0.00722211,
        0.00726813,
        0.00717906,
        0.00612939,
        0.0057687,
        0.00572623,
        0.00625267,
        0.00568535,
        0.0059211,
        0.00650209,
        0.00707159,
        0.00807117,
        0.00786109,
        0.00700358,
        0.00723106,
        0.00833065,
        0.00801554,
        0.00758372,
        0.00899893,
        0.0105191,
        0.0105268,
        0.0116558,
        0.0113826,
        0.0109248,
        0.0138767,
        0.0149385,
        0.0173753,
        0.0201329,
        0.0211363,
        0.0167682,
        0.0160957,
        0.0153566,
        0.0124582,
        0.0101419,
        0.0101196,
        0.0100556,
        0.00887923,
        0.0097356,
        0.00893939,
        0.00853644,
        0.00863735,
        0.00972482,
        0.0109724,
        0.0098345,
        0.0121452,
        0.0146619,
        0.0135904,
        0.0111376,
        0.00971455,
        0.00807646,
        0.00824676,
        0.00758006,
        0.00692444,
        0.00720965,
        0.007032,
        0.00722792,
        0.00653883,
        0.00694246,
        0.00762225,
        0.00716808,
        0.00772957,
        0.00709724,
        0.00764404,
        0.00776438,
        0.00739018,
        0.00728082,
        0.00810839,
        0.00737686,
        0.00889006,
        0.00843292,
        0.00826588,
        0.00643839,
        0.00718931,
        0.0062136,
        0.0066436,
        0.00617265,
        0.00659092,
        0.00518903,
        0.00552677,
        0.00582213,
        0.00619543,
        0.00610008,
        0.00630479,
        0.00615253,
        0.00599527,
        0.00659286,
        0.00716849,
        0.00698556,
        0.00676959,
        0.00628175,
        0.00567466,
        0.00622174,
        0.00644512,
        0.00614769,
        0.0057112,
        0.00598994,
        0.00588477,
        0.00602651,
        0.00611554,
        0.00609456,
        0.00644401,
        0.00659497,
        0.00660072,
        0.00593788,
        0.00569834,
        0.00485571,
        0.00581471,
        0.00581596,
        0.0050055,
        0.00613931,
        0.0060095,
        0.00540579,
        0.00510357,
        0.00553537,
        0.00526068,
        0.00511916,
        0.00487108,
        0.00553573,
        0.00610841,
        0.00580061,
        0.00575713,
        0.00610203,
        0.00585075,
        0.00582465,
        0.00585511,
        0.00644493,
        0.00663587,
        0.00698555,
        0.00648582,
        0.00656963,
        0.00542109,
        0.00610877,
        0.00646376,
        0.00688552,
        0.00677575,
        0.00592064,
        0.00646396,
        0.00592892,
        0.00691639,
        0.00669157,
        0.00776168,
        0.00752931,
        0.00615919,
        0.0071031,
        0.00836821,
        0.00704506,
        0.00646382,
        0.00668498,
        0.00657369,
        0.00682147,
        0.00775349,
        0.00742757,
        0.00724184,
        0.0078654,
        0.00776174,
        0.00788011,
        0.00782758,
        0.00718826,
        0.00762334,
        0.00744406,
        0.00668871,
        0.0074554,
        0.00777616,
        0.0109659,
        0.0102647,
        0.0093889,
        0.0098519,
        0.011713,
        0.0132905,
        0.0149255,
        0.0175209,
        0.0199247,
        0.0218583,
        0.0249401,
        0.00945693,
        0.00961916,
        0.00877626,
        0.00926357,
        0.00865029,
        0.00767461,
        0.00859699,
        null,
        0.0319389,
        0.0300203,
        0.0275693,
        0.026133,
        0.025936,
        0.0236701,
        0.0229451,
        0.0242575,
        0.0204545,
        0.0183365,
        0.0186242,
        0.0179014,
        0.01822,
        0.0180522,
        0.0178222,
        0.019827,
        0.0188946,
        0.0170256,
        0.0180679,
        0.0181766,
        0.0171437,
        0.017771,
        0.0176845,
        0.0169294,
        0.0174225,
        0.0183965,
        0.0186109,
        0.0181065,
        0.018942,
        0.0175749,
        0.0203111,
        0.0200838,
        0.0189674,
        0.020032,
        0.0201672,
        0.0200749,
        0.0213648,
        0.0228923,
        0.0221118,
        0.0234034,
        0.0258444,
        0.0259843,
        0.0247489,
        0.0250068,
        0.0261285,
        0.0290207,
        0.0315139,
        0.0332046,
        null,
        0.0265588,
        0.0225998,
        0.0213949,
        0.0206683,
        0.0191145,
        0.0185113,
        0.0178691,
        0.0167739,
        0.0154152,
        0.0141439,
        0.0130565,
        0.0127659,
        0.012823,
        0.0132225,
        0.0124047,
        0.0116243,
        0.0109185,
        0.0109044,
        0.0111071,
        0.011426,
        0.0114641,
        0.0107148,
        0.00988729,
        0.0108861,
        0.011768,
        0.0120623,
        0.0104379,
        0.00948473,
        0.0089618,
        0.00894642,
        0.00948688,
        0.0094241,
        0.00793786,
        0.00830606,
        0.00862688,
        0.00842234,
        0.00837878,
        0.00796183,
        0.0070845,
        0.00750019,
        0.00761521,
        0.00743728,
        0.00766675,
        0.0078873,
        0.0080014,
        0.0072229,
        0.00759034,
        0.0083594,
        0.00764102,
        0.00730194,
        0.00719796,
        0.00730202,
        0.0073309,
        0.00721557,
        0.00678832,
        0.00744349,
        0.00769694,
        0.00667877,
        0.00656467,
        0.00673243,
        0.00712405,
        0.00705389,
        0.006722,
        0.00612897,
        0.00651086,
        0.00637041,
        0.00577855,
        0.00682298,
        0.00727737,
        0.00724628,
        0.00693527,
        0.00668373,
        0.00652291,
        0.00665848,
        0.00646588,
        0.00633098,
        0.00690727,
        0.00667241,
        0.00626988,
        0.00612164,
        0.00569772,
        0.00560734,
        0.00628251,
        0.00668557,
        0.00669213,
        0.00615603,
        0.00662692,
        0.00662683,
        0.00598264,
        0.0060178,
        0.00588059,
        0.00560536,
        0.00582743,
        0.0062653,
        0.00677228,
        0.00661956,
        0.00670854,
        0.0068427,
        0.00653928,
        0.00613096,
        0.00574899,
        0.00561831,
        0.0062821,
        0.0068958,
        0.00676853,
        0.00648634,
        0.00647208,
        0.00700882,
        0.00666123,
        0.00619528,
        0.00573545,
        0.00586282,
        0.00606273,
        0.00630711,
        0.00585258,
        0.00594822,
        0.00645827,
        0.00611064,
        0.0059848,
        0.00600123,
        0.00594647,
        0.00557679,
        0.00522173,
        0.00567099,
        0.00648333,
        0.00715774,
        0.0069826,
        0.00687308,
        0.0068952,
        0.00716283,
        0.00697034,
        0.0066942,
        0.00642708,
        0.00600208,
        0.00597146,
        0.00648511,
        0.00653125,
        0.00711367,
        0.00824585,
        0.00895379,
        0.00890261,
        0.00824783,
        0.00772712,
        0.0075884,
        0.00783185,
        0.00892197,
        0.0103412,
        0.0113597,
        0.0102421,
        0.00984529,
        0.0104723,
        0.0131218,
        0.0133925,
        0.0139815,
        0.0162744,
        0.0197181,
        0.0245612,
        0.0311985,
        0.0198594,
        0.0169099,
        0.0151137,
        0.0138305,
        0.013039,
        0.0110918,
        0.0103862,
        0.0109565,
        0.0107272,
        0.00998463,
        0.008892,
        0.00838763,
        0.0077779,
        0.00719302,
        0.00705123,
        0.00712787,
        0.0073818,
        0.00791693,
        0.00761823,
        0.0073652,
        0.00791459,
        0.00783117,
        0.00744319,
        0.00676351,
        0.00662146,
        0.00681257,
        0.00738317,
        0.00706568,
        0.00649422,
        0.00571122,
        0.00595798,
        0.00587198,
        0.00556141,
        0.00611566,
        0.00608332,
        0.00567744,
        0.00527514,
        0.00510925,
        0.00518433,
        0.00573666,
        0.00619825,
        0.00628521,
        0.00542028,
        0.00592373,
        0.0062462,
        0.00549881,
        0.00508616,
        0.00513102,
        0.00579984,
        0.00527156,
        0.00517346,
        0.00568347,
        0.00603906,
        0.0062826,
        0.0064087,
        0.00625475,
        0.00604462,
        0.00587007,
        0.0061747,
        0.00605348,
        0.00580853,
        0.00599261,
        0.0053877,
        0.00484207,
        0.00529239,
        0.00553577,
        0.00555174,
        0.00519861,
        0.00513074,
        0.00510763,
        0.00507977,
        0.00538777,
        0.00540365,
        0.00502324,
        0.00571171,
        0.00600844,
        0.00592995,
        0.00567449,
        0.00540869,
        0.00517441,
        0.00523284,
        0.00502654,
        0.00476609,
        0.00485325,
        0.0044688,
        0.00418127,
        0.00474486,
        0.00518081,
        0.00537085,
        0.00512383,
        0.00492551,
        0.00495651,
        0.0053488,
        0.00569963,
        0.0056656,
        0.00517822,
        0.00521968,
        0.00525167,
        0.00525559,
        0.00492555,
        0.00483661,
        0.00544406,
        0.00634294,
        0.00599545,
        0.00564074,
        0.00607717,
        0.00542019,
        0.00528509,
        0.00532449,
        0.00554619,
        0.00573364,
        0.00574836,
        0.00576339,
        0.00588106,
        0.00616071,
        0.00625223,
        0.00622777,
        0.00608719,
        0.00626313,
        0.00586627,
        0.00566076,
        0.00531075,
        0.00496523,
        0.0055111,
        0.00564372,
        0.00607686,
        0.00646917,
        0.00626613,
        0.00640197,
        0.00636951,
        0.00632046,
        0.00613546,
        0.00628916,
        0.00607582,
        0.00641386,
        0.00606322,
        0.00601861,
        0.00557475,
        0.00546476,
        0.00652608,
        0.0070489,
        0.00699412,
        0.00677765,
        0.00753894,
        0.00752009,
        0.0074077,
        0.00749191,
        0.00735615,
        0.00763365,
        0.00853531,
        0.00920715,
        0.00990413,
        0.00995014,
        0.0104945,
        0.0107088,
        0.0120703,
        0.0123782,
        0.0148358,
        0.0181844,
        0.0212945,
        0.0195062,
        0.0210318,
        0.0175884,
        0.0153931,
        0.0128957,
        0.0125631,
        0.0122604,
        0.0108044,
        0.0108745,
        0.010281,
        0.0100018,
        0.009786,
        0.00948685,
        0.00980953,
        0.00981318,
        0.00910771,
        0.00886052,
        0.00857291,
        0.00881884,
        0.00977992,
        0.0099866,
        0.00977106,
        0.00996946,
        0.00986514,
        0.00955497,
        0.00987966,
        0.0105845,
        0.00951136,
        0.00912951,
        0.00955452,
        0.00916153,
        0.00898258,
        0.00903177,
        0.00935208,
        0.010131,
        0.0106993,
        0.00833893,
        0.00938024,
        0.0103573,
        0.0106445,
        0.00997929,
        0.00982566,
        0.00979018,
        0.0101046,
        0.00977371,
        0.00946634,
        0.00941256,
        0.00958844,
        0.0104702,
        0.0117873,
        0.0129057,
        0.0139294,
        0.0134985,
        0.0141134,
        0.014846,
        0.014591,
        0.0152561,
        0.0157318,
        0.0178228,
        0.0210218,
        0.0220407,
        0.0242392,
        0.029297,
        null,
        0.0241363,
        0.0256997,
        0.0239717,
        0.0223686,
        0.0197921,
        0.0193087,
        0.0189752,
        0.0164462,
        0.0164326,
        0.0159545,
        0.0133918,
        0.0140579,
        0.0141824,
        0.0147274,
        0.0133199,
        0.01248,
        0.0120272,
        0.0115461,
        0.0118853,
        0.0129392,
        0.0126625,
        0.0130391,
        0.0117626,
        0.0113288,
        0.0102826,
        0.0107319,
        0.011187,
        0.0102256,
        0.0100307,
        0.0101468,
        0.0108446,
        0.0113511,
        0.0112867,
        0.0112841,
        0.0113705,
        0.011514,
        0.012149,
        0.0125233,
        0.0128627,
        0.014345,
        0.0145942,
        0.0156001,
        0.0192028,
        0.0190978,
        0.0189541,
        0.0198672,
        0.0249196,
        0.0296217,
        0.0232473,
        0.0209325,
        0.0166288,
        0.0138655,
        0.0118767,
        0.0103237,
        0.0107481,
        0.010839,
        0.00999085,
        0.00945442,
        0.0098143,
        0.00822236,
        0.00795961,
        0.00873127,
        0.00890265,
        0.0076592,
        0.00768776,
        0.00681454,
        0.00729815,
        0.0073067,
        0.00727162,
        0.00686291,
        0.00632303,
        0.0065398,
        0.00650251,
        0.00646705,
        0.00688533,
        0.00662825,
        0.00628086,
        0.00625135,
        0.00628288,
        0.00680101,
        0.00812833,
        0.00725943,
        0.00632223,
        0.00649623,
        0.00609732,
        0.0058123,
        0.00558372,
        0.00581079,
        0.00610993,
        0.00665434,
        0.00593232,
        0.00649897,
        0.00601413,
        0.00568017,
        0.00602763,
        0.00627132,
        0.00639411,
        0.00677488,
        0.00660475,
        0.0064655,
        0.00627338,
        0.0061002,
        0.00513609,
        0.00527932,
        0.00545457,
        0.00605375,
        0.00579831,
        0.00595301,
        0.00618705,
        0.00576416,
        0.00625682,
        0.00679311,
        0.00604568,
        0.00665894,
        0.00609902,
        0.00582838,
        0.00635738,
        0.00645663,
        0.00554308,
        0.00626983,
        0.00676626,
        0.00624803,
        0.00563971,
        0.00546184,
        0.00515397,
        0.00569157,
        0.00572058,
        0.0057447,
        0.00524616,
        0.00550772,
        0.0062912,
        0.00611209,
        0.00605124,
        0.00574698,
        0.00568266,
        0.00631056,
        0.00636424,
        0.0056452,
        0.00576422,
        0.0059412,
        0.00591105,
        0.00637751,
        0.00630504,
        0.00567211,
        0.00601084,
        0.00578469,
        0.00559284,
        0.00582243,
        0.00571226,
        0.00586201,
        0.00601364,
        0.00586715,
        0.00550851,
        0.00570691,
        0.0048977,
        0.00508043,
        0.0049736,
        0.00523341,
        0.0053307,
        0.00560156,
        0.00552206,
        0.0055903,
        0.00549554,
        0.00587797,
        0.00584942,
        0.00530098,
        0.00554733,
        0.00611827,
        0.00555079,
        0.00492548,
        0.00546557,
        0.00565409,
        0.00583896,
        0.0060845,
        0.00664321,
        0.0057801,
        0.00644572,
        0.00626666,
        0.00649369,
        0.00654528,
        0.00668568,
        0.00666059,
        0.0068287,
        0.00655985,
        0.00603312,
        0.00598372,
        0.00632907,
        0.00608584,
        0.00690382,
        0.00697982,
        0.00735311,
        0.0072569,
        0.00779607,
        0.00838209,
        0.00865756,
        0.0081448,
        0.00892322,
        0.00930266,
        0.0096175,
        0.00844158,
        0.00957966,
        0.0106279,
        0.0106975,
        0.0121076,
        0.0138863,
        0.0151741,
        0.0187328,
        0.023283,
        0.0284766,
        0.0268254,
        0.022352,
        0.0191057,
        0.0157825,
        0.0137822,
        0.0111501,
        0.0111277,
        0.010934,
        0.0105601,
        0.00953748,
        0.0092076,
        0.00852084,
        0.00778405,
        0.00760301,
        0.00833636,
        0.00834206,
        0.00756856,
        0.00650115,
        0.00724773,
        0.00786493,
        0.00657044,
        0.00639268,
        0.00652665,
        0.00656673,
        0.00619759,
        0.00583962,
        0.00613406,
        0.00583846,
        0.00551342,
        0.00542854,
        0.00593896,
        0.00599104,
        0.00571171,
        0.0059259,
        0.00581873,
        0.00558778,
        0.00496002,
        0.00557048,
        0.0046997,
        0.00522714,
        0.00479431,
        0.00517289,
        0.00545892,
        0.00520063,
        0.00536167,
        0.00536311,
        0.00534642,
        0.00521388,
        0.00507668,
        0.00526104,
        0.00478238,
        0.0051266,
        0.00492865,
        0.00490288,
        0.00485246,
        0.00504433,
        0.00515004,
        0.00490042,
        0.00492401,
        0.0051189,
        0.00488783,
        0.00540155,
        0.00503954,
        0.00558725,
        0.00526481,
        0.00580726,
        0.00544011,
        0.00505221,
        0.00421422,
        0.00475174,
        0.00513696,
        0.00568734,
        0.0052242,
        0.00490327,
        0.00476917,
        0.00506425,
        0.00447422,
        0.00415165,
        0.00446854,
        0.00474802,
        0.00505349,
        0.00522679,
        0.00485428,
        0.00455484,
        0.00504713,
        0.00463405,
        0.00466886,
        0.00527864,
        0.00507105,
        0.00486036,
        0.00468798,
        0.00552378,
        0.00583344,
        0.00554786,
        0.0060577,
        0.00602245,
        0.00533729,
        0.00499662,
        0.0050082,
        0.0049355,
        0.0047649,
        0.00518936,
        0.00546834,
        0.00546222,
        0.00548617,
        0.00536899,
        0.00539835,
        0.00506021,
        0.00547128,
        0.00554976,
        0.00562176,
        0.00532489,
        0.00526462,
        0.00590438,
        0.00640449,
        0.00648826,
        0.00532132,
        0.00502236,
        0.00478601,
        0.00419103,
        0.00499389,
        0.0051267,
        0.00481983,
        0.00549117,
        0.00546842,
        0.00511344,
        0.00495277,
        0.00456836,
        0.00434428,
        0.00476653,
        0.00466593,
        0.00463465,
        0.00493618,
        0.00537782,
        0.00535923,
        0.00476548,
        0.00507348,
        0.00521279,
        0.00520007,
        0.00515288,
        0.00531918,
        0.00558431,
        0.00572235,
        0.00548869,
        0.00545669,
        0.0064965,
        0.00709046,
        0.00664617,
        0.00673096,
        0.00670331,
        0.00742789,
        0.00714978,
        0.00743543,
        0.00786753,
        0.00835808,
        0.00844683,
        0.0094153,
        0.0106956,
        0.0108775,
        0.0113488,
        0.012614,
        0.0159363,
        0.0213262,
        0.0157005,
        0.0136827,
        0.0121374,
        0.0109309,
        0.010048,
        0.0096371,
        0.00943279,
        0.00862866,
        0.00826677,
        0.00805155,
        0.0076999,
        0.00763898,
        0.00757794,
        0.00736116,
        0.00629944,
        0.00555156,
        0.00537318,
        0.00588491,
        0.00590061,
        0.00544749,
        0.00522003,
        0.00532817,
        0.00565714,
        0.00599505,
        0.00571027,
        0.00531791,
        0.00538832,
        0.00516268,
        0.00499512,
        0.0051002,
        0.0050277,
        0.0050129,
        0.00510697,
        0.00612899,
        0.00621388,
        0.00545667,
        0.00493985,
        0.00481692,
        0.00487819,
        0.00454939,
        0.00472211,
        0.00494282,
        0.00466956,
        0.00481668,
        0.00504271,
        0.00521852,
        0.00545183,
        0.00525604,
        0.00446879,
        0.0046406,
        0.00482687,
        0.00499933,
        0.0050573,
        0.0052216,
        0.00531273,
        0.00471392,
        0.00471041,
        0.00488505,
        0.00486108,
        0.00465172,
        0.00468973,
        0.00527704,
        0.00534675,
        0.00506594,
        0.00442439,
        0.00473632,
        0.00480603,
        0.00468109,
        0.004953,
        0.00519989,
        0.00538069,
        0.00530531,
        0.00477892,
        0.0043669,
        0.00474178,
        0.00500031,
        0.00499048,
        0.00455557,
        0.00495943,
        0.00512918,
        0.00490794,
        0.00483406,
        0.004669,
        0.00447845,
        0.00479173,
        0.00536695,
        0.00592359,
        0.00578352,
        0.00603854,
        0.00607937,
        0.00520843,
        0.00491569,
        0.0049503,
        0.00534237,
        0.0054804,
        0.00515162,
        0.00433532,
        0.00455036,
        0.00462324,
        0.00465454,
        0.00522076,
        0.00569471,
        0.00591557,
        0.00534871,
        0.00495576,
        0.00478369,
        0.00500883,
        0.00499933,
        0.00506749,
        0.00532069,
        0.00515562,
        0.0052063,
        0.00550078,
        0.00536834,
        0.00558531,
        0.00596711,
        0.00569875,
        0.0053479,
        0.00509274,
        0.00529212,
        0.00577844,
        0.00608082,
        0.00580729,
        0.00523661,
        0.00512717,
        0.00572179,
        0.00571647,
        0.00581917,
        0.00604505,
        0.00617022,
        0.0061021,
        0.00597151,
        0.00622067,
        0.00580732,
        0.0053699,
        0.00570109,
        0.00552045,
        0.00626288,
        0.00668388,
        0.00816854,
        0.00896663,
        0.00969124,
        0.00913894,
        0.00889242,
        0.00859759,
        0.00792692,
        0.00775977,
        0.00771324,
        0.00679086,
        0.00677158,
        0.00742594,
        0.00968445,
        0.0097124,
        0.0104789,
        0.0116778,
        0.0114519,
        0.0126923,
        0.0141026,
        0.0154682,
        0.0182277,
        0.0215974,
        0.0216941,
        0.0191828,
        0.0209371,
        0.0171063,
        0.0148211,
        0.0124119,
        0.0109847,
        0.0107148,
        0.0102937,
        0.00922663,
        0.00885037,
        0.00913195,
        0.00748702,
        0.00819589,
        0.00780837,
        0.00686123,
        0.00731145,
        0.00718917,
        0.00688379,
        0.00663405,
        0.00640885,
        0.00644802,
        0.00681938,
        0.0067751,
        0.00659282,
        0.0054704,
        0.00564365,
        0.0065964,
        0.0057905,
        0.00560895,
        0.00557482,
        0.00493469,
        0.00565461,
        0.00631569,
        0.00603852,
        0.0056458,
        0.00573047,
        0.00627226,
        0.00602638,
        0.00591157,
        0.00529813,
        0.00559475,
        0.00620889,
        0.00590284,
        0.00570382,
        0.00511135,
        0.00545673,
        0.00580882,
        0.00578027,
        0.00519368,
        0.00643997,
        0.0061721,
        0.00601226,
        0.00578039,
        0.00546804,
        0.00571962,
        0.00563053,
        0.00552415,
        0.00548418,
        0.00577427,
        0.00564314,
        0.00580494,
        0.00576104,
        0.00595546,
        0.00622424,
        0.00575784,
        0.0051688,
        0.00622567,
        0.0068238,
        0.00687267,
        0.00660105,
        0.00636278,
        0.00613699,
        0.00586204,
        0.00550922,
        0.00549981,
        0.00664499,
        0.00642764,
        0.00611866,
        0.00627929,
        0.00600007,
        0.00581302,
        0.00579703,
        0.00552818,
        0.00553573,
        0.00573672,
        0.00607522,
        0.00597669,
        0.00606524,
        0.00529418,
        0.00581322,
        0.00668918,
        0.00651204,
        0.00572977,
        0.00539051,
        0.00573921,
        0.00562403,
        0.00557458,
        0.00585465,
        0.00571348,
        0.00568437,
        0.00572046,
        0.00570316,
        0.00524472,
        0.00494467,
        0.00565399,
        0.00560688,
        0.00554025,
        0.00577173,
        0.00554251,
        0.00533123,
        0.00520132,
        0.00555372,
        0.00570659,
        0.00569586,
        0.00562375,
        0.00539456,
        0.00511382,
        0.00493898,
        0.00579894,
        0.00663258,
        0.00670962,
        0.00620346,
        0.00598503,
        0.00629919,
        0.0055935,
        0.00535128,
        0.0056017,
        0.00622199,
        0.0059049,
        0.00521317,
        0.005498,
        0.00573076,
        0.0059655,
        0.00625891,
        0.00596179,
        0.00574883,
        0.00588686,
        0.0054768,
        0.00549904,
        0.0060356,
        0.00633171,
        0.00656071,
        0.00679346,
        0.00738263,
        0.00788774,
        0.00814823,
        0.00772058,
        0.00751034,
        0.00742867,
        0.00748523,
        0.00739411,
        0.00731442,
        0.0072745,
        0.00831664,
        0.00871209,
        0.00866979,
        0.00999573,
        0.00996715,
        0.0096887,
        0.0116071,
        0.011844,
        0.0122427,
        0.0144586,
        0.0160803,
        0.0192168,
        0.024731,
        0.021085,
        0.0179903,
        0.0147166,
        0.0118143,
        0.00991358,
        0.0107086,
        0.00964582,
        0.00845098,
        0.00801154,
        0.00772087,
        0.0070963,
        0.00601961,
        0.00669379,
        0.00685781,
        0.00652996,
        0.00587371,
        0.00598415,
        0.00632714,
        0.00598443,
        0.00529643,
        0.00494476,
        0.00560502,
        0.00579375,
        0.00581748,
        0.00571818,
        null,
        0.00396083,
        0.0042617,
        0.00456257,
        0.00486344,
        0.00516431,
        0.00485057,
        0.0046912,
        0.00509221,
        0.00471287,
        0.00504439,
        0.0059272,
        0.00509694,
        0.00462825,
        0.00450565,
        0.00490583,
        0.00551622,
        0.0055778,
        0.00475573,
        0.00486089,
        0.00516766,
        0.00546478,
        0.00484215,
        0.00458682,
        0.00460543,
        0.00494145,
        0.00432101,
        0.00413466,
        0.00462764,
        0.0047292,
        0.00486222,
        0.00508731,
        0.00561001,
        0.00508025,
        0.0047054,
        0.00523595,
        0.005415,
        0.00584769,
        0.00636872,
        0.00464411,
        0.00456616,
        0.00511102,
        0.00485002,
        0.00496301,
        0.00517559,
        0.00540296,
        0.00521733,
        0.00555099,
        0.00614947,
        0.0054425,
        0.00492616,
        0.00482175,
        0.00556932,
        0.00534712,
        0.00505851,
        0.00489782,
        0.00547517,
        0.00553319,
        0.00532409,
        0.00551268,
        0.00561885,
        0.00549713,
        0.0049803,
        0.00515825,
        0.00549,
        0.00594793,
        0.0068782,
        0.00665206,
        0.00590979,
        0.00556817,
        0.00668156,
        0.0079009,
        0.00868058,
        0.00745798,
        0.00754635,
        0.00889805,
        0.0107012,
        0.0117299,
        0.0136006,
        0.0185889,
        0.029714,
        0.017939,
        0.0126629,
        0.0111574,
        0.00995782,
        0.00907728,
        0.00828771,
        0.00752018,
        0.007588,
        0.00761761,
        0.00748883,
        0.00664118,
        0.0068668,
        0.0070233,
        0.00578125,
        0.00525119,
        0.00518684,
        0.00556427,
        0.00539408,
        0.00570436,
        0.00614115,
        0.00556181,
        0.00544096,
        0.00549642,
        0.00561071,
        0.00525553,
        0.00500745,
        0.00495975,
        0.00537994,
        0.00543911,
        0.00538028,
        0.00556186,
        0.00553294,
        0.00523026,
        0.00457486,
        0.00530837,
        0.00558655,
        0.00544929,
        0.00516432,
        0.00520664,
        0.00529278,
        0.00516383,
        0.00570643,
        0.00606742,
        0.00606501,
        0.00570485,
        0.00534511,
        0.00508978,
        0.00529299,
        0.00484367,
        0.00452591,
        0.00482392,
        0.00486929,
        0.00497547,
        0.0051522,
        0.00525657,
        0.00499943,
        0.00465614,
        0.00459017,
        0.00483059,
        0.00499429,
        0.00495975,
        0.00521713,
        0.00499045,
        0.00447532,
        0.00438764,
        0.00433993,
        0.00447751,
        0.00498957,
        0.00484401,
        0.00507746,
        0.00574813,
        0.00512285,
        0.00485415,
        0.00471211,
        0.00428515,
        0.00460617,
        0.00482276,
        0.00453331,
        0.0046892,
        0.00473992,
        0.00469995,
        0.00486018,
        0.00497139,
        0.00500228,
        0.00487523,
        0.0048003,
        0.00473645,
        0.00467318,
        0.00443828,
        0.00446502,
        0.00465826,
        0.00478166,
        0.00480076,
        0.00485826,
        0.00505409,
        0.0045856,
        0.00428955,
        0.00422664,
        0.00419161,
        0.00414601,
        0.00416862,
        0.00442239,
        0.00450861,
        0.00449722,
        0.00439166,
        0.00446981,
        0.00449159,
        0.00453256,
        0.00493015,
        0.00486764,
        0.00474512,
        0.00488041,
        0.00506965,
        0.00515827,
        0.00512634,
        0.00501153,
        0.00472551,
        0.00444652,
        0.00455205,
        0.00439594,
        0.00462256,
        0.00558399,
        0.0051049,
        0.0048166,
        0.00484031,
        0.00550352,
        0.00549784,
        0.0052183,
        0.00496033,
        0.00451779,
        0.00404737,
        0.00361754,
        0.00519465,
        0.0055948,
        0.00522746,
        0.00483252,
        0.00457269,
        0.00439095,
        0.00428296,
        0.00496827,
        0.00521004,
        0.00501814,
        0.00505433,
        0.00557042,
        0.005904,
        0.00506609,
        0.00546816,
        0.00565764,
        0.00527978,
        0.00590194,
        0.0058333,
        0.00536225,
        0.0053234,
        0.00559599,
        0.00592631,
        0.0061735,
        0.00618758,
        0.00629843,
        0.00645148,
        0.00574866,
        0.00627387,
        0.00721526,
        0.0074218,
        0.00843464,
        0.00963297,
        0.0108482,
        0.0121685,
        0.0154755,
        0.0134167,
        0.0115102,
        0.0109418,
        0.00910624,
        0.00811909,
        0.00779518,
        0.00731347,
        0.00669503,
        0.00642929,
        0.00711552,
        0.00622301,
        0.00565004,
        0.00560932,
        0.00470454,
        0.0045465,
        0.00482677,
        0.00507468,
        0.00494584,
        0.00501177,
        0.00553315,
        0.00505634,
        0.00486084,
        0.00499027,
        0.00545406,
        0.00514756,
        0.00478308,
        0.00500218,
        0.00523188,
        0.00526787,
        0.00508539,
        0.00536045,
        0.0059553,
        0.00636128,
        0.00537399,
        0.00467157,
        0.00439304,
        0.00471795,
        0.00459561,
        0.00456213,
        0.00466142,
        0.00502029,
        0.00501887,
        0.00506948,
        0.00565877,
        0.00526,
        0.00529148,
        0.00599033,
        0.00575652,
        0.00519876,
        0.00458032,
        0.00448913,
        0.00470546,
        0.00490919,
        0.00493909,
        0.00480733,
        0.00486522,
        0.0050549,
        0.00496062,
        0.0047766,
        0.00462291,
        0.0046514,
        0.00493011,
        0.00532486,
        0.00575701,
        0.00489132,
        0.00459035,
        0.00465575,
        0.00476399,
        0.0052321,
        0.00551394,
        0.00529826,
        0.00531678,
        0.0051698,
        0.00489209,
        0.00476058,
        0.00528051,
        0.00596583,
        0.00633183,
        0.00588832,
        0.00558444,
        0.00560879,
        0.00591361,
        0.00656488,
        0.00722245,
        0.00699598,
        0.00676643,
        0.00635191,
        0.00562104,
        0.00673342,
        0.00718768,
        0.00711171,
        0.00768144,
        0.00716958,
        0.00693576,
        0.00858758,
        0.00897452,
        0.00925213,
        0.00974989,
        0.012936,
        0.0146149,
        0.0168503,
        0.0247406,
        0.0159369,
        0.0148908,
        0.0137062,
        0.0116153,
        0.010332,
        0.00930125,
        0.00813155,
        0.00744021,
        0.00724515,
        0.00742081,
        0.00624254,
        0.00645518,
        0.00702402,
        0.0061072,
        0.00651551,
        0.00646705,
        0.00523826,
        0.00576862,
        0.00597494,
        0.00593252,
        0.00598872,
        0.00557397,
        0.00515752,
        0.00508365,
        0.00468661,
        0.00480003,
        0.0054711,
        0.0057745,
        0.00596381,
        0.00602479,
        0.00587366,
        0.00540027,
        0.00541539,
        0.00617927,
        0.00545507,
        0.00539855,
        0.00584925,
        0.00642846,
        0.00684905,
        0.00692962,
        0.00643926,
        0.0082939,
        0.00914749,
        0.00889664,
        0.00916478,
        0.0114652,
        0.0147576,
        0.0181898,
        0.0215254,
        0.0143918,
        0.0118119,
        0.00969266,
        0.00809834,
        0.00900517,
        0.00905954,
        0.0084212,
        0.00696934,
        0.00679601,
        0.00618332,
        0.00485052,
        0.00523303,
        0.00558208,
        0.00568343,
        0.00492784,
        0.00463468,
        0.00469999,
        0.00515052,
        0.00508832,
        0.00513106,
        0.00518678,
        0.00477204,
        0.00459573,
        0.00461635,
        0.00487014,
        0.00436811,
        0.00433087,
        0.00484124,
        0.00482508,
        0.00460608,
        0.00436826,
        0.00442822,
        0.00482536,
        0.00478996,
        0.00402776,
        0.00487217,
        0.0048513,
        0.00429685,
        0.00414015,
        0.0042615,
        0.00424577,
        0.00380776,
        0.00404101,
        0.00449224,
        0.00498091,
        0.00450505,
        0.0040809,
        0.00381437,
        0.00388714,
        0.00417566,
        0.00443509,
        0.00459448,
        0.0040891,
        0.00433781,
        0.00493696,
        0.00500637,
        0.00468647,
        0.00449526,
        0.0046993,
        0.0052469,
        0.00511224,
        0.00445066,
        0.00409448,
        0.00421982,
        0.0043472,
        0.00406874,
        0.0042061,
        0.00437229,
        0.00450117,
        0.00440463,
        0.00428734,
        0.00415708,
        0.00401984,
        0.00423036,
        0.0043797,
        0.00435607,
        0.00475788,
        0.00449967,
        0.00392081,
        0.00388657,
        0.00392658,
        0.00396037,
        0.00393474,
        0.00428715,
        0.00458825,
        0.00480784,
        0.00500708,
        0.00535194,
        0.0055501,
        0.00518017,
        0.00520383,
        0.00514434,
        0.0048981,
        0.00449464,
        0.00419267,
        0.00413982,
        0.00479085,
        0.00479977,
        0.00478053,
        0.00497548,
        0.00457968,
        0.00463779,
        0.00496745,
        0.00473658,
        0.00465575,
        0.0048551,
        0.00552877,
        0.00518213,
        0.00507317,
        0.00524972,
        0.00483082,
        0.00483056,
        0.00500601,
        0.00510225,
        0.00430622,
        0.00428968,
        0.00545008,
        0.00479234,
        0.00505258,
        0.00552253,
        0.00446399,
        0.00435679,
        0.00446237,
        0.004488,
        0.00534354,
        0.00562413,
        0.00545493,
        0.00562892,
        0.00528012,
        0.00480966,
        0.00451514,
        0.00481548,
        0.00525787,
        0.0057379,
        0.00569229,
        0.00597725,
        0.00618964,
        0.00566349,
        0.00509033,
        0.00493918,
        0.0053721,
        0.00524523,
        0.00533723,
        0.00564873,
        0.00627763,
        0.00573178,
        0.00528036,
        0.00561296,
        0.00582308,
        0.00570766,
        0.00536418,
        0.00537384,
        0.00567078,
        0.0061762,
        0.00689679,
        0.00671061,
        0.00659882,
        0.00672814,
        0.00726543,
        0.007349,
        0.00728645,
        0.00755416,
        0.00776296,
        0.00804842,
        0.00846274,
        0.00935928,
        0.00942184,
        0.00952935,
        0.0127103,
        0.0145343,
        0.0166873,
        0.020268,
        0.0193346,
        0.0173916,
        0.0143867,
        0.0119834,
        0.0104087,
        0.0104168,
        0.00912778,
        0.00892842,
        0.0105621,
        0.00982602,
        0.00942201,
        0.00920553,
        0.00882234,
        0.00909868,
        0.0100077,
        0.0116984,
        0.0115231,
        0.0120248,
        0.0130349,
        0.0127601,
        0.0124996,
        0.0124686,
        0.0129697,
        0.0127138,
        0.0135839,
        0.0156993,
        0.0156857,
        0.0155035,
        0.016051,
        0.0190807,
        0.0221979,
        null,
        0.021082,
        0.0192718,
        0.0183797,
        0.018024,
        0.0181444,
        0.0162459,
        0.0143344,
        0.0125619,
        0.0114642,
        0.0114223,
        0.0113022,
        0.0104583,
        0.0116854,
        0.0119525,
        0.0111482,
        0.00964431,
        0.0101189,
        0.0106092,
        0.00954715,
        0.00943443,
        0.00942787,
        0.00935107,
        0.00839041,
        0.00730669,
        0.0068945,
        0.00863517,
        0.00771164,
        0.00708136,
        0.00743772,
        0.00762797,
        0.00745903,
        0.00722058,
        0.00750184,
        0.00732428,
        0.00687159,
        0.00616514,
        0.00756131,
        0.00760585,
        0.00662632,
        0.00589077,
        0.00610801,
        0.00644858,
        0.00647813,
        0.00589645,
        0.00574037,
        0.00595762,
        0.00584442,
        0.00618848,
        0.00658773,
        0.00664766,
        0.00622454,
        0.00590505,
        0.00578432,
        0.00602544,
        0.00583019,
        0.00564737,
        0.00615764,
        0.00656182,
        0.00646489,
        0.0057358,
        0.00598362,
        0.00631009,
        0.00643791,
        0.00565366,
        0.00605973,
        0.00657742,
        0.0068049,
        0.00614986,
        0.00631825,
        0.0069241,
        0.00630414,
        0.00649479,
        0.00678186,
        0.00675645,
        0.00591774,
        0.00603337,
        0.00687812,
        0.00628104,
        0.0059129,
        0.0061376,
        0.00750024,
        0.0083336,
        0.00852596,
        0.00820188,
        0.00908259,
        0.009631,
        0.0102375,
        0.0115304,
        0.0129382,
        0.0153075,
        0.0185252,
        0.0171256,
        0.0133419,
        0.0107407,
        0.00911544,
        0.00806216,
        0.00747306,
        0.00726392,
        0.00749289,
        0.0072709,
        0.00684848,
        0.00635,
        0.00629607,
        0.00683839,
        0.0069585,
        0.00562481,
        0.00585216,
        0.00585239,
        0.00545119,
        0.00537242,
        0.00522739,
        0.00538358,
        0.00643121,
        0.00615418,
        0.00572593,
        0.00545135,
        0.00654839,
        0.00626521,
        0.0053934,
        0.00507824,
        0.00578201,
        0.00622942,
        0.00598152,
        0.00560702,
        0.00552931,
        0.00553508,
        0.00506118,
        0.00513723,
        0.00535354,
        0.00554804,
        0.00503233,
        0.00493875,
        0.00522786,
        0.00565913,
        0.0055366,
        0.00542594,
        0.00572339,
        0.00570679,
        0.0057011,
        0.00567581,
        0.00524121,
        0.00523572,
        0.00535621,
        0.00534928,
        0.00573467,
        0.00599813,
        0.00604603,
        0.0057637,
        0.00532741,
        0.00505196,
        0.00547027,
        0.00503628,
        0.0049164,
        0.00539011,
        0.00596203,
        0.0060735,
        0.00610628,
        0.00683461,
        0.00608103,
        0.005117,
        0.00437919,
        0.00575381,
        0.00651701,
        0.00667825,
        0.00601628,
        0.00594486,
        0.00608462,
        0.00630024,
        0.00570428,
        0.00581744,
        0.00637198,
        0.00597188,
        0.00607375,
        0.00632091,
        0.00651343,
        0.00692124,
        0.00661358,
        0.00578368,
        0.00621988,
        0.00618923,
        0.00592496,
        0.0055528,
        0.00565827,
        0.00616622,
        0.00693763,
        0.00639317,
        0.00632621,
        0.00657105,
        0.00704718,
        0.00731823,
        0.00717333,
        0.00659703,
        0.00652111,
        0.00633667,
        0.00621321,
        0.00651261,
        0.00707503,
        0.00732541,
        0.00709512,
        0.00830975,
        0.00823986,
        0.00760405,
        0.00812629,
        0.00814834,
        0.00861238,
        0.00998041,
        0.00903173,
        0.00894376,
        0.00963716,
        0.0106273,
        0.00989726,
        0.00926403,
        0.00983009,
        0.00983101,
        0.0101761,
        0.0106986,
        0.0102459,
        0.0101096,
        0.010583,
        0.0120694,
        0.0143447,
        0.0153029,
        0.0149828,
        0.0152084,
        0.0145495,
        0.0144859,
        0.0167476,
        0.018493,
        0.018566,
        0.017294,
        null,
        0.0197993,
        0.0153599,
        0.0162236,
        0.0164097,
        0.0151697,
        0.0139414,
        0.0140711,
        0.0148009,
        0.0154173,
        0.0131823,
        0.0110196,
        0.00957108,
        0.0106298,
        0.0105067,
        0.00991244,
        0.00975367,
        0.0100423,
        0.0104718,
        0.01093,
        0.0103847,
        0.0106115,
        0.0117484,
        0.0144161,
        0.013271,
        0.0117061,
        0.0106599,
        0.0100686,
        0.00923277,
        0.00825657,
        0.00733055,
        0.00777885,
        0.00796882,
        0.00729565,
        0.00663058,
        0.00703777,
        0.00776597,
        0.00677082,
        0.00727941,
        0.00765042,
        0.00716622,
        0.00782457,
        0.00831939,
        0.0085139,
        0.00786862,
        0.00771757,
        0.00743127,
        0.00667605,
        0.00617762,
        0.00561565,
        0.00515287,
        0.00552016,
        0.00577797,
        0.00586341,
        0.00569717,
        0.00567931,
        0.00599079,
        0.00646482,
        0.0063423,
        0.00626562,
        0.00625223,
        0.00633106,
        0.00561079,
        0.00572631,
        0.00647332,
        0.00581564,
        0.0060154,
        0.00637004,
        0.00634368,
        0.0062884,
        0.00590725,
        0.00526063,
        0.00503143,
        0.00529675,
        0.00559569,
        0.00547464,
        0.00529294,
        0.00547346,
        0.00590362,
        0.00506785,
        0.00457837,
        0.00465219,
        0.00578441,
        0.00574156,
        0.00528411,
        0.00469858,
        0.00584793,
        0.00580485,
        0.00531017,
        0.00514129,
        0.00513295,
        0.00519056,
        0.00531834,
        0.00575759,
        0.00588944,
        0.00586869,
        0.00585848,
        0.00548215,
        0.00530655,
        0.00542378,
        0.00501654,
        0.00531488,
        0.00589653,
        0.00616276,
        0.00601667,
        0.00597678,
        0.00616354,
        0.00604342,
        0.0057609,
        0.00551366,
        0.00571447,
        0.00662094,
        0.00744612,
        0.00792436,
        0.00716128,
        0.00831879,
        0.0100967,
        0.0099766,
        0.0109342,
        0.0127781,
        0.0155277,
        0.0149832,
        0.0133583,
        0.0111579,
        0.00941486,
        0.0086929,
        0.00835042,
        0.00821547,
        0.00669055,
        0.00580779,
        0.00551293,
        0.00581424,
        0.00589456,
        0.00579127,
        0.0054959,
        0.00586323,
        0.00603032,
        0.00600256,
        0.00576893,
        0.00567736,
        0.00561182,
        0.00552326,
        0.00504646,
        0.0048856,
        0.00507604,
        0.00581077,
        0.00565274,
        0.00536685,
        0.00533148,
        0.00527417,
        0.00506951,
        0.00480608,
        0.00481247,
        0.00542704,
        0.00585996,
        0.00565024,
        0.00524354,
        0.00494874,
        0.00470327,
        0.00421385,
        0.0044326,
        0.00476718,
        0.00488471,
        0.00474082,
        0.00459231,
        0.00449474,
        0.0046431,
        0.0048085,
        0.00488461,
        0.00478493,
        0.00472857,
        0.00571296,
        0.00543455,
        0.00527464,
        0.00566304,
        0.00615527,
        0.00643671,
        0.00586054,
        0.0065005,
        0.00782623,
        0.00537442,
        0.00591223,
        0.00686041,
        0.0061677,
        0.00589495,
        0.00640898,
        0.00729799,
        0.00574509,
        0.00510582,
        0.00491344,
        0.0049141,
        0.00514613,
        0.00537902,
        0.00552454,
        0.00515254,
        0.00481516,
        0.00472051,
        0.00512046,
        0.0043978,
        0.00415555,
        0.00449315,
        0.00504916,
        0.00514324,
        0.00516206,
        0.005422,
        0.00490671,
        0.00470111,
        0.00485097,
        0.00491398,
        0.00525388,
        0.00555544,
        0.00549907,
        0.00512406,
        0.00487924,
        0.00473426,
        0.00397642,
        0.00443993,
        0.00487715,
        0.00400181,
        0.00437165,
        0.00459934,
        0.00453041,
        0.00439529,
        0.00462909,
        0.00504766,
        0.00552593,
        0.00499852,
        0.00484806,
        0.00517274,
        0.0052077,
        0.0049661,
        0.00482279,
        0.0051646,
        0.00546966,
        0.00549786,
        0.00523023,
        0.00473834,
        0.00473943,
        0.00482445,
        0.00462754,
        0.00476743,
        0.00464172,
        0.00431704,
        0.0048468,
        0.00499155,
        0.00496113,
        0.00489872,
        0.00521764,
        0.00535746,
        0.00529804,
        0.00541325,
        0.00522777,
        0.00677485,
        0.00678236,
        0.00736082,
        0.00817505,
        0.00854042,
        0.00849562,
        0.00793649,
        0.00799016,
        0.00801216,
        0.00818955,
        0.0104393,
        0.0111573,
        0.0111148,
        0.0107221,
        0.00996461,
        0.00979362,
        0.0100409,
        0.00903808,
        0.00787119,
        0.00692129,
        0.00658162,
        0.00654531,
        0.00604503,
        0.00516099,
        0.00481315,
        0.0048396,
        0.00499155,
        0.00510838,
        0.00521789,
        0.00510447,
        0.00477957,
        0.00437249,
        0.00457375,
        0.00491108,
        0.00505102,
        0.00488713,
        0.00484549,
        0.00490751,
        0.00481985,
        0.0050268,
        0.00497468,
        0.00419081,
        0.00505566,
        0.00557304,
        0.00558026,
        0.00491776,
        0.00552191,
        0.00634489,
        0.00676399,
        0.00623559,
        0.00594728,
        0.00590312,
        0.00583505,
        0.0053751,
        0.00504498,
        0.00522133,
        0.00520617,
        0.00471977,
        0.00396623,
        0.00379248,
        0.00432202,
        0.00484693,
        0.00494254,
        0.00557142,
        0.0057053,
        0.0055119,
        0.00578206,
        0.00548439,
        0.00511541,
        0.00492947,
        0.00511141,
        0.00525037,
        0.00529306,
        0.00509376,
        0.0051183,
        0.00522761,
        0.00536856,
        0.00566151,
        0.00533362,
        0.00466158,
        0.00449884,
        0.00526989,
        0.00575268,
        0.0053684,
        0.00631414,
        0.00670054,
        0.00660822,
        0.00624459,
        0.00618347,
        0.00607008,
        0.00575803,
        0.00636234,
        0.0063668,
        0.00616591,
        0.00674501,
        0.00674162,
        0.00730704,
        0.00890003,
        0.00899955,
        null,
        0.00627421,
        0.00576907,
        0.00526393,
        0.00475879,
        0.00425365,
        0.00466296,
        0.00490632,
        0.0046817,
        0.00599346,
        0.00655588,
        0.00636006,
        0.00516359,
        0.00532545,
        0.00553863,
        0.00563768,
        0.00582039,
        0.0054446,
        0.00519,
        0.00557124,
        0.00509509,
        0.00554276,
        0.00641735,
        0.00593921,
        0.0063767,
        0.00624396,
        0.00512122,
        0.00586091,
        0.00634413,
        0.00679872,
        0.0075685,
        0.00762269,
        0.00777542,
        0.0081847,
        0.0089682,
        0.0104759,
        0.0112672,
        0.0101807,
        0.0112421,
        0.0121158,
        0.012828,
        0.0137849,
        0.0182973,
        0.0234312,
        0.0181812,
        0.0157945,
        0.0147669,
        0.0143481,
        0.0126483,
        0.0117493,
        0.0112791,
        0.0102544,
        0.00901868,
        0.00851244,
        0.00903308,
        0.00947532,
        0.00882121,
        0.00800823,
        0.0080867,
        0.00736677,
        0.00746466,
        0.00815846,
        0.0072216,
        0.00658206,
        0.00651938,
        0.00726992,
        0.00630642,
        0.0055713,
        0.00506036,
        0.00473002,
        0.00505497,
        0.00539591,
        0.00558704,
        0.00543361,
        0.00509376,
        0.00492578,
        0.00530677,
        0.00555187,
        0.00535504,
        0.00493462,
        0.00531904,
        0.00501901,
        0.0049913,
        0.00565599,
        0.00547692,
        0.00508895,
        0.00473211,
        0.00484831,
        0.00488984,
        0.00470144,
        0.00432683,
        0.00440694,
        0.00453864,
        0.00472026,
        0.00495928,
        0.00531495,
        0.00526572,
        0.00505855,
        0.0055026,
        0.00544109,
        0.0051308,
        0.00467001,
        0.00494393,
        0.00564459,
        0.00582799,
        0.00418736,
        0.00490704,
        0.00487453,
        0.00408341,
        0.0046846,
        0.0047255,
        0.00457878,
        0.00441679,
        0.00403868,
        0.00442884,
        0.00506992,
        0.00488381,
        0.00486053,
        0.00483733,
        0.00477777,
        0.0047018,
        0.00471809,
        0.00461212,
        0.00415247,
        0.00460898,
        0.00502906,
        0.00522739,
        0.00472341,
        0.00473744,
        0.0049076,
        0.00510939,
        0.00518666,
        0.00502776,
        0.00483002,
        0.00487733,
        0.00454015,
        0.0046012,
        0.00501974,
        0.00491902,
        0.0052049,
        0.005191,
        0.00443389,
        0.00525551,
        0.00533724,
        0.00509911,
        0.00540308,
        0.00501455,
        0.00464187,
        0.00449932,
        0.00494586,
        0.00495916,
        0.00485665,
        0.00490798,
        0.00448224,
        0.00403607,
        0.00380415,
        0.00450602,
        0.00502535,
        0.00505385,
        0.00451453,
        0.00531522,
        0.00499957,
        0.00462249,
        0.00556709,
        0.00474946,
        0.00461172,
        0.00511362,
        0.00464465,
        0.00463845,
        0.00476087,
        0.00485748,
        0.00380926,
        0.00403107,
        0.00470989,
        0.0043979,
        0.00420072,
        0.00448273,
        0.00513525,
        0.00470798,
        0.00506096,
        0.00529327,
        0.00469351,
        0.00504825,
        0.00503749,
        0.0047658,
        0.00456516,
        0.004883,
        0.00499316,
        0.00471822,
        0.00452245,
        0.00434591,
        0.00436605,
        0.00480587,
        0.00486882,
        0.00482469,
        0.00470425,
        0.00453647,
        0.00441574,
        0.00452403,
        0.0049272,
        0.0051341,
        0.00512225,
        0.00509557,
        0.00533683,
        0.00509839,
        0.00500536,
        0.00510106,
        0.00518159,
        0.00555645,
        0.0057434,
        0.00547584,
        0.00458027,
        0.00435818,
        0.0045471,
        0.0047223,
        0.00496645,
        0.00502712,
        0.00491868,
        0.00504857,
        0.00527533,
        0.00521629,
        0.00456513,
        0.00513317,
        0.00495465,
        0.00469446,
        0.0059598,
        0.00535253,
        0.00522834,
        0.00592215,
        0.00455768,
        0.00507909,
        0.00594122,
        0.00591982,
        0.0056056,
        0.00587269,
        0.00634291,
        0.00583146,
        0.00626902,
        0.00618412,
        0.00522419,
        0.00526641,
        0.00595897,
        0.00666847,
        0.00676034,
        0.0059639,
        0.00559908,
        0.00565535,
        0.00576096,
        0.00499341,
        0.00469021,
        0.00529665,
        0.0049095,
        0.00497405,
        0.00510815,
        0.00486358,
        0.00468294,
        0.00464298,
        0.00477313,
        0.00521153,
        0.00465166,
        0.00432726,
        0.00478647,
        0.00491139,
        0.0048248,
        0.00466494,
        0.00461905,
        0.00447594,
        0.00458429,
        0.00486628,
        0.00473152,
        0.00442591,
        0.00427792,
        0.00446245,
        0.00497964,
        0.00513909,
        0.00504437,
        0.00479575,
        0.00456348,
        0.00474318,
        0.00520133,
        0.00470954,
        0.00490634,
        0.00509279,
        0.00486614,
        0.00404511,
        0.00384769,
        0.00397342,
        0.00390784,
        0.004658,
        0.0051145,
        0.00509691,
        0.0047782,
        0.00454256,
        0.00459102,
        0.00508403,
        0.0050828,
        0.00526153,
        0.0052904,
        0.00444167,
        0.00447825,
        0.00463539,
        0.00471603,
        0.00437248,
        0.00446381,
        0.00481359,
        0.00533999,
        0.00506592,
        0.00459047,
        0.00416211,
        0.00430596,
        0.00449445,
        0.00454069,
        0.00440544,
        0.00413379,
        0.00409818,
        0.00425549,
        0.00460392,
        0.00449402,
        0.00471709,
        0.00501787,
        0.00480017,
        0.00497166,
        0.00497077,
        0.00469554,
        0.00427646,
        0.00443489,
        0.00486829,
        0.0054126,
        0.00486159,
        0.00468948,
        0.00470578,
        0.00443464,
        0.00477754,
        0.00481503,
        0.00437424,
        0.00382344,
        0.00419416,
        0.00451754,
        0.00414394,
        0.00385963,
        0.0039538,
        0.00414977,
        0.00385445,
        0.00397202,
        0.0044287,
        0.005109,
        0.00514219,
        0.00518237,
        0.00513911,
        0.00494246,
        0.0047801,
        0.00489579,
        0.00505868,
        0.00478618,
        0.00518526,
        0.0051147,
        0.00448793,
        0.00449392,
        0.00466846,
        0.00469511,
        0.00435627,
        0.00485428,
        0.00466579,
        0.0042625,
        0.00458857,
        0.00467655,
        0.00456947,
        0.0043572,
        0.00453563,
        0.00472565,
        0.00483528,
        0.00479985,
        0.00459058,
        0.00447871,
        0.00452358,
        0.00486222,
        0.00438224,
        0.00438092,
        0.00494319,
        0.00530228,
        0.00490921,
        0.00445741,
        0.00429358,
        0.0046799,
        0.00461196,
        0.00444233,
        0.00474019,
        0.00465061,
        0.00458078,
        0.00462502,
        0.00498666,
        0.005058,
        0.00498739,
        0.00483502,
        0.00468594,
        0.00446137,
        0.00443613,
        0.00504549,
        0.00475859,
        0.00445053,
        0.00428077,
        0.0045341,
        0.00482874,
        0.00501323,
        0.00501588,
        0.00473097,
        0.00427536,
        0.00391327,
        0.00398844,
        0.00473055,
        0.00526485,
        0.00556586,
        0.00577392,
        0.00666722,
        0.00671408,
        0.00556103,
        0.00622386,
        0.00572277,
        0.00520232,
        0.00573425,
        0.0052833,
        0.00487318,
        0.00471553,
        0.00527141,
        0.00521465,
        0.00516012,
        0.00521877,
        0.00489007,
        0.00535867,
        0.0056048,
        0.00483168,
        0.00510736,
        0.00498074,
        0.00467352,
        0.00474092,
        0.00455449,
        0.004619,
        0.00499982,
        0.00536782,
        0.00541035,
        0.00512661,
        0.00447639,
        0.0051187,
        0.00524483,
        0.00505281,
        0.00484384,
        0.0044699,
        0.00438116,
        0.00459736,
        0.00485832,
        0.00485034,
        0.00467692,
        0.00438082,
        0.00460914,
        0.00446931,
        0.00436937,
        0.0048455,
        0.00506747,
        0.00503897,
        0.00479994,
        0.0044829,
        0.0047054,
        0.0050668,
        0.00537128,
        0.00474228,
        0.00474773,
        0.00468245,
        0.00386063,
        0.0043462,
        0.00450962,
        0.00442142,
        0.00449763,
        0.00469845,
        0.00455486,
        0.00406369,
        0.00432377,
        0.00446264,
        0.0047913,
        0.00556544,
        0.00565153,
        0.0052043,
        0.00453139,
        0.00423973,
        0.00431824,
        0.0045712,
        0.00490256,
        0.0049708,
        0.00480305,
        0.00478297,
        0.00511199,
        0.00514948,
        0.00482957,
        0.00453835,
        0.00484829,
        0.00498333,
        0.00485285,
        0.00459066,
        0.00470802,
        0.00526299,
        0.00531812,
        0.00461464,
        0.00478578,
        0.00512893,
        0.00523003,
        0.00462701,
        0.0049138,
        0.00475202,
        0.00445145,
        0.00496659,
        0.00582893,
        0.00595789,
        0.00523816,
        0.00501701,
        0.00499557,
        0.00482538,
        0.0042733,
        0.00566486,
        0.0056736,
        0.00505296,
        0.00501986,
        0.00493988,
        0.00500296,
        0.0051647,
        0.00506658,
        0.00513495,
        0.00557612,
        0.00642688,
        0.0062489,
        0.00611292,
        0.00599663,
        0.00587736,
        0.00584234,
        0.00591945,
        0.00608576,
        0.00629466,
        0.00546174,
        0.00481293,
        0.00467158,
        0.00479604,
        0.00517395,
        0.00530372,
        0.00481093,
        0.00465404,
        0.00446125,
        0.00447009,
        0.00515527,
        0.00562096,
        0.0054434,
        0.00474182,
        0.0044607,
        0.00471399,
        0.00491015,
        0.00477067,
        0.00408363,
        0.00454509,
        0.0053389,
        0.00566192,
        0.00488921,
        0.00487561,
        0.00535161,
        0.00520371,
        0.00507718,
        0.00493409,
        0.00485588,
        0.00560498,
        0.0055992,
        0.00516771,
        0.00449406,
        0.00466709,
        0.00500726,
        0.00523192,
        0.00487786,
        0.0044348,
        0.004376,
        0.0046171,
        0.00444993,
        0.00419358,
        0.00420241,
        0.00461426,
        0.00517001,
        0.00514009,
        0.00475224,
        0.00414562,
        0.00413617,
        0.0044487,
        0.00485113,
        0.00482762,
        0.00482899,
        0.00504601,
        0.00536,
        0.00480259,
        0.00470616,
        0.00498473,
        0.00562247,
        0.00495598,
        0.00469527,
        0.00484353,
        0.00546638,
        0.00521041,
        0.0050095,
        0.00490341,
        0.00474106,
        0.00426049,
        0.00410867,
        0.00439295,
        0.0040354,
        0.00433084,
        0.00466207,
        0.00455866,
        0.0048139,
        0.00491084,
        0.00500264,
        0.00537546,
        0.00525777,
        0.00525111,
        0.00538464,
        0.00545232,
        0.00576759,
        0.00577926,
        0.00526716,
        0.00488868,
        0.00498341,
        0.00502648,
        0.00449598,
        0.00508833,
        0.00481462,
        0.00432131,
        0.00521299,
        0.00565508,
        0.00570079,
        0.00546433,
        0.00549484,
        0.00536703,
        0.00494129,
        0.00415722,
        0.00503945,
        0.0056382,
        0.00591875,
        0.00578926,
        0.00516917,
        0.00510732,
        0.00528199,
        0.00459369,
        0.00505377,
        0.00519469,
        0.00485516,
        0.00544888,
        0.00504737,
        0.00450104,
        0.00425791,
        0.00376148,
        0.00417483,
        0.00482717,
        0.00490149,
        0.00514911,
        0.00514265,
        0.00485155,
        0.00425233,
        0.00437933,
        0.00476719,
        0.00520402,
        0.00493309,
        0.00453128,
        0.0043674,
        0.00472289,
        0.00476511,
        0.0043228,
        0.00382131,
        0.00394067,
        0.00443809,
        0.00446533,
        0.00422853,
        0.00481969,
        0.00478791,
        0.0047235,
        0.00477033,
        0.00449906,
        0.00463297,
        0.00458905,
        0.00393505,
        0.00496534,
        0.00463879,
        0.00402465,
        0.00487854,
        0.00534961,
        0.00512073,
        0.00446009,
        0.00445672,
        0.00438132,
        0.00457604,
        0.00510726,
        0.00538864,
        0.00540354,
        0.00520767,
        0.00481844,
        0.0049885,
        0.00477739,
        0.00450888,
        0.00473126,
        0.00472011,
        0.00458208,
        0.00438689,
        0.00433938,
        0.00428353,
        0.00444106,
        0.0048522,
        0.00506065,
        0.00489534,
        0.00479315,
        0.0050822,
        0.00519873,
        0.00517543,
        0.00491527,
        0.00421717,
        0.00439024,
        0.00461148,
        0.00475253,
        0.00472668,
        0.00479635,
        0.00494173,
        0.00516803,
        0.00556583,
        0.00516554,
        0.00471075,
        0.00475173,
        0.00454978,
        0.00499943,
        0.00560532,
        0.00551486,
        0.00544395,
        0.0051879,
        0.0048857,
        0.0050243,
        0.00520531,
        0.00526918,
        0.00517284,
        0.00494736,
        0.00453916,
        0.00450629,
        0.0052114,
        0.00507832,
        0.00490756,
        0.0048805,
        0.00527551,
        0.00509204,
        0.00474807,
        0.00443733,
        0.00464365,
        0.00500725,
        0.00497365,
        0.00454507,
        0.00497086,
        0.00492776,
        0.00474028,
        0.00456174,
        0.00441267,
        0.00453345,
        0.00467315,
        0.00454587,
        0.00472638,
        0.00480063,
        0.00481763,
        0.00496866,
        0.00492321,
        0.00508895,
        0.00538464,
        0.00470472,
        0.00458589,
        0.00487952,
        0.0054507,
        0.00484456,
        0.0050455,
        0.00541636,
        0.00538447,
        0.00499702,
        0.00508096,
        0.0053551,
        0.0051814,
        0.00473579,
        0.00495978,
        0.00576007,
        0.00593392,
        0.0057648,
        0.00534842,
        0.00480442,
        0.00525059,
        0.00520987,
        0.00491612,
        0.004518,
        0.00495425,
        0.00533109,
        0.00544292,
        0.00496092,
        0.00561664,
        0.00586185,
        0.00568292,
        0.0054656,
        0.00537812,
        0.00546328,
        0.00572461,
        0.00604905,
        0.00612572,
        0.00606028,
        0.00591429,
        0.00586923,
        0.00589716,
        0.0059343,
        0.00590875,
        0.00601412,
        0.00595862,
        0.00572778,
        0.00532428,
        0.00561718,
        0.00578073,
        0.00570855,
        0.00556582,
        0.00553802,
        0.00563686,
        0.0058478,
        0.00570462,
        0.00545609,
        0.00532774,
        0.00550521,
        0.00496933,
        0.00482478,
        0.00505205,
        0.00564688,
        0.00615811,
        0.00611866,
        0.00570818,
        0.00563754,
        0.00580716,
        0.00595794,
        0.00604236,
        0.00624704,
        0.00590956,
        0.00561708,
        0.00566252,
        0.00556165,
        0.00620597,
        0.00689442,
        0.00684398,
        0.00653939,
        0.00616003,
        0.00582549,
        0.00576447,
        0.00591366,
        0.00604563,
        0.00620573,
        0.00679419,
        0.00631549,
        0.00608199,
        0.00651849,
        0.00720082,
        0.00754055,
        0.0074397,
        0.00677798,
        0.00605244,
        0.00575208,
        0.00618126,
        0.00786371,
        0.00793596,
        0.00815876,
        0.0085097,
        0.00854397,
        0.0089845,
        0.0093998,
        0.00958153,
        0.00882949,
        0.010596,
        0.0124443,
        0.0134174,
        0.0143896,
        0.0152015,
        0.0178709,
        0.0241848,
        0.0229505,
        0.0237661,
        0.0182956,
        0.018451,
        0.0195189,
        0.0194833,
        0.0174832,
        0.0168897,
        0.0157933,
        0.0160089,
        0.0193753,
        0.0167081,
        0.0161244,
        0.0173968,
        0.0199095,
        null,
        0.0206001,
        0.0177306,
        0.0167939,
        0.01475,
        0.0137434,
        0.0141814,
        0.0121709,
        0.0109382,
        0.010255,
        0.010012,
        0.0102489,
        0.00975283,
        0.00905134,
        0.00872366,
        0.00822653,
        0.00856022,
        0.00918064,
        0.0089927,
        0.00798258,
        0.00754808,
        0.00764285,
        0.0075111,
        0.00729349,
        0.00736337,
        0.0076704,
        0.00710919,
        0.00649212,
        0.00634916,
        0.00689827,
        0.00690668,
        0.00773656,
        0.00832995,
        0.00777319,
        0.00722023,
        0.00756869,
        0.00823774,
        0.00840688,
        0.00824147,
        0.00789601,
        0.00748272,
        0.0072514,
        0.00757322,
        0.00722371,
        0.00630837,
        0.00617656,
        0.00618384,
        0.00618048,
        0.00611809,
        0.00603565,
        0.00600286,
        0.00599237,
        0.00598965,
        0.00597229,
        0.00592766,
        0.00577992,
        0.00544356,
        0.00548505,
        0.00585877,
        0.00616132,
        0.0056842,
        0.00564491,
        0.00556997,
        0.00555322,
        0.00602021,
        0.00601906,
        0.00589395,
        0.00574198,
        0.00567321,
        0.00557695,
        0.00542272,
        0.00524152,
        0.00551256,
        0.00572486,
        0.00571425,
        0.00537926,
        0.00539108,
        0.00516312,
        0.00495258,
        0.0050419,
        0.00546187,
        0.00541016,
        0.00523096,
        0.00559985,
        0.0052422,
        0.00478194,
        0.00450652,
        0.00505256,
        0.00467615,
        0.00469649,
        0.00519541,
        0.00509742,
        0.00493275,
        0.00477204,
        0.0047218,
        0.00560698,
        0.00523245,
        0.00476411,
        0.00493458,
        0.00525976,
        0.00529584,
        0.00538827,
        0.00590128,
        0.00529918,
        0.00491558,
        0.00483991,
        0.00517673,
        0.00548165,
        0.00531725,
        0.00491526,
        0.00498391,
        0.00521875,
        0.00533042,
        0.00517642,
        0.00438114,
        0.00485252,
        0.00518976,
        0.00497943,
        0.00499658,
        0.00509842,
        0.00509026,
        0.00488012,
        0.00531289,
        0.00525089,
        0.00510456,
        0.00525513,
        0.0053387,
        0.0053999,
        0.00522724,
        0.00447452,
        0.00468356,
        0.00484281,
        0.00492289,
        0.00506776,
        0.00507354,
        0.00495699,
        0.00476293,
        0.00462677,
        0.00478676,
        0.00489862,
        0.00488187,
        0.00482249,
        0.00523649,
        0.00547285,
        0.00524745,
        0.00471676,
        0.00461406,
        0.00474903,
        0.00500268,
        0.0051211,
        0.00521867,
        0.00523753,
        0.00510547,
        0.0047669,
        0.00477685,
        0.005075,
        0.0055404,
        0.00513559,
        0.0051125,
        0.00526195,
        0.00468871,
        0.00546681,
        0.0054817,
        0.00475653,
        0.00515762,
        0.00505063,
        0.00532294,
        0.00604095,
        0.00536022,
        0.00523346,
        0.00525421,
        0.00520043,
        0.00476549,
        0.00461998,
        0.00457771,
        0.00450939,
        0.00488285,
        0.00555628,
        0.00607206,
        0.00585386,
        0.00556662,
        0.0052956,
        0.00535048,
        0.00629722,
        0.0054415,
        0.0048302,
        0.00457211,
        0.00434806,
        0.00481816,
        0.00479364,
        0.00437844,
        0.00496906,
        0.00500048,
        0.00476124,
        0.00452212,
        0.0056723,
        0.00524547,
        0.00476545,
        0.00497615,
        0.00527688,
        0.00547531,
        0.00544733,
        0.0050908,
        0.00452804,
        0.00470802,
        0.00504854,
        0.00490487,
        0.00467439,
        0.00484142,
        0.00520297,
        0.00540516,
        0.00570907,
        0.00536809,
        0.00601873,
        0.00637726,
        0.00568934,
        0.00579591,
        0.00560897,
        0.00545749,
        0.00564694,
        0.00509688,
        0.00543226,
        0.0059409,
        0.00566059,
        0.00568566,
        0.00604583,
        0.00622641,
        0.00521674,
        0.0048223,
        0.00522362,
        0.00580615,
        0.00482389,
        0.00499079,
        0.00512002,
        0.0051087,
        0.00542124,
        0.00508023,
        0.0047278,
        0.004613,
        0.00517665,
        0.00488389,
        0.00456401,
        0.00453768,
        0.00461168,
        0.00500754,
        0.00527434,
        0.00515955,
        0.00524129,
        0.00518158,
        0.00512605,
        0.0051976,
        0.00474114,
        0.00515337,
        0.00563976,
        0.00521375,
        0.00511328,
        0.00505126,
        0.00496125,
        0.00475092,
        0.00511923,
        0.00547704,
        0.00564401,
        0.00530489,
        0.00503841,
        0.00520769,
        0.00551707,
        0.00475317,
        0.00499785,
        0.00543499,
        0.00572468,
        0.00520379,
        0.00538235,
        0.00558194,
        0.00553226,
        0.00514734,
        0.00532879,
        0.0055053,
        0.00540515,
        0.00515408,
        0.00502098,
        0.00481233,
        0.00440844,
        0.00522511,
        0.00557541,
        0.00562655,
        0.00552999,
        0.00551972,
        0.00530179,
        0.00529551,
        0.00609453,
        0.00559048,
        0.00477373,
        0.00522384,
        0.00570805,
        0.00601545,
        0.00601483,
        0.00599857,
        0.00587647,
        0.00547624,
        0.00463168,
        0.00502467,
        0.00576654,
        0.00619106,
        0.00549168,
        0.00626073,
        0.00659217,
        0.00656534,
        0.00641843,
        0.0070408,
        0.00668036,
        0.0060182,
        0.00689029,
        0.00652066,
        0.00634208,
        0.00629563,
        0.00571667,
        0.0060041,
        0.00647154,
        0.00687962,
        0.00686802,
        0.00621819,
        0.00607517,
        0.00651385,
        0.00599735,
        0.00622559,
        0.00646047,
        0.006615,
        0.00812088,
        0.00833515,
        0.00810669,
        0.00789409,
        0.00809164,
        0.00835854,
        0.00819557,
        0.00737926,
        0.00795593,
        0.00855445,
        0.00900705,
        0.00917116,
        0.00960371,
        0.00958529,
        0.00926417,
        0.00876913,
        0.00912285,
        0.0103284,
        0.0117164,
        0.0123444,
        0.0116595,
        0.0116976,
        0.0127244,
        0.0151469,
        0.0143971,
        0.0146517,
        0.016112,
        0.0181913,
        0.0194491,
        0.0224761,
        0.0262977,
        null,
        0.0118296,
        0.0120342,
        0.0127112,
        0.0121314,
        0.0121707,
        0.0125306,
        0.0130047,
        0.0133697,
        0.0138812,
        0.013886,
        0.0138686,
        0.0155818,
        0.0179389,
        0.0189209,
        0.0186628,
        0.0177325,
        0.0189561,
        null,
        0.0213355,
        0.021096,
        0.0205258,
        0.0199874,
        0.0196195,
        0.0193862,
        0.0189753,
        0.0189122,
        0.0183611,
        0.0171525,
        0.0152144,
        0.0172925,
        0.0182247,
        0.0179211,
        0.016605,
        0.0149314,
        0.0148,
        0.0151666,
        0.0153871,
        0.0155038,
        0.0148317,
        0.0142574,
        0.0142485,
        0.0154793,
        0.0139979,
        0.0137066,
        0.0148261,
        0.0165416,
        0.0178351,
        0.0180628,
        0.0182347,
        0.019286,
        0.0151615,
        0.0149674,
        0.0166716,
        0.0182166,
        0.0138384,
        0.0136323,
        0.0140093,
        0.014171,
        0.0153698,
        0.0140109,
        0.0131809,
        0.0134285,
        0.0149048,
        0.0145163,
        0.0150386,
        0.0161833,
        0.0174416,
        0.017581,
        0.0155674,
        0.0152242,
        0.018609,
        0.0232372,
        0.0204187,
        0.0179873,
        0.0184438,
        0.02142,
        0.0205202,
        0.0230571,
        0.0266004,
        0.0247679,
        null,
        0.0215683,
        0.0242382,
        0.0233286,
        0.0196778,
        0.0166706,
        0.0171125,
        0.0180965,
        0.0185508,
        0.0175335,
        0.0157681,
        0.0162611,
        0.016831,
        0.016471,
        0.0166697,
        0.0148924,
        0.0138728,
        0.0139454,
        0.0135167,
        0.0141184,
        0.0146415,
        0.0150256,
        0.0154487,
        0.0137195,
        0.0131271,
        0.0128604,
        0.0119856,
        0.0105859,
        0.010504,
        0.0108281,
        0.0111035,
        0.0117046,
        0.0112614,
        0.0110548,
        0.0111869,
        0.0106944,
        0.0117517,
        0.0124876,
        0.0124189,
        0.011157,
        0.0104676,
        0.00961222,
        0.00930798,
        0.0101827,
        0.00921594,
        0.00978187,
        0.0101875,
        0.00972127,
        0.0102197,
        0.0111043,
        0.0113697,
        0.0109485,
        0.0106029,
        0.00938805,
        0.00968327,
        0.010264,
        0.00841386,
        0.00997873,
        0.00964534,
        0.00874402,
        0.0087152,
        0.00821611,
        0.00896468,
        0.00914482,
        0.00823871,
        0.00983537,
        0.00893572,
        0.00875208,
        0.00968274,
        0.00988993,
        0.00980052,
        0.00993748,
        0.00976702,
        0.00823511,
        0.00810012,
        0.00783103,
        0.00758007,
        0.00755662,
        0.00718355,
        0.00773344,
        0.00847649,
        0.00890771,
        0.00838337,
        0.00799302,
        0.00718588,
        0.00655859,
        0.00859012,
        0.00756161,
        0.00718791,
        0.00748073,
        0.00738996,
        0.0073013,
        0.0073366,
        0.00726301,
        0.00687351,
        0.00683038,
        0.00724543,
        0.00721801,
        0.00658988,
        0.00770811,
        0.00715311,
        0.00691214,
        0.00704993,
        0.00561129,
        0.00607056,
        0.00651575,
        0.00659968,
        0.00627033,
        0.0063182,
        0.00677314,
        0.00703261,
        0.00655924,
        0.00651284,
        0.00638529,
        0.00634887,
        0.00644062,
        0.00620202,
        0.00639636,
        0.00683086,
        0.0072114,
        0.0068119,
        0.00612399,
        0.00624284,
        0.00662412,
        0.00588193,
        0.00617894,
        0.00660802,
        0.00676783,
        0.00631485,
        0.00573898,
        0.00606514,
        0.00618011,
        0.00558464,
        0.00549521,
        0.00641444,
        0.00669497,
        0.00622443,
        0.00665904,
        0.00650772,
        0.0062517,
        0.0059051,
        0.0053552,
        0.00531075,
        0.00591506,
        0.00659893,
        0.0067645,
        0.00693292,
        0.00628496,
        0.00571312,
        0.00575091,
        0.00605615,
        0.00582528,
        0.00540328,
        0.00519529,
        0.00618734,
        0.00597454,
        0.00608006,
        0.00659713,
        0.00722064,
        0.00633239,
        0.00559254,
        0.00512799,
        0.00498233,
        0.00530901,
        0.00554917,
        0.00532353,
        0.0046467,
        0.00546489,
        0.00663503,
        0.0071152,
        0.00668621,
        0.00584809,
        0.00539992,
        0.00529989,
        0.00529717,
        0.00491063,
        0.00492686,
        0.00549829,
        0.00614672,
        0.00631945,
        0.00563255,
        0.00599759,
        0.00610277,
        0.00531473,
        0.00525433,
        0.00568704,
        0.00581472,
        0.0055712,
        0.00574568,
        0.00606612,
        0.00622768,
        0.00624927,
        0.00626655,
        0.00573199,
        0.00555122,
        0.00566635,
        0.00593026,
        0.00628212,
        0.00631938,
        0.00614986,
        0.00588483,
        0.00584641,
        0.0056291,
        0.00561475,
        0.0058061,
        0.00572654,
        0.0059385,
        0.00593304,
        0.00581264,
        0.00597529,
        0.00586172,
        0.00552706,
        0.0054217,
        0.00600613,
        0.00607865,
        0.00829308,
        0.0104535,
        0.0108723,
        0.00844736,
        0.0083325,
        0.00921347,
        0.0103865,
        0.0111977,
        0.00575461,
        0.0036486,
        0.00647153,
        0.00758947,
        0.00739969,
        0.00704186,
        0.00552849,
        0.0052646,
        0.00555464,
        0.00586565,
        0.00607589,
        0.00558104,
        0.00531018,
        0.00552201,
        0.00571661,
        0.00546797,
        0.00533363,
        0.00545394,
        0.00587482,
        0.00576406,
        0.00545897,
        0.00501266,
        0.00447563,
        0.00494505,
        0.00495862,
        0.00484981,
        0.00488539,
        0.00524907,
        0.00609771,
        0.00625312,
        0.00554554,
        0.00532408,
        0.00485065,
        0.00496818,
        0.00544014,
        0.00532693,
        0.00444216,
        0.00440168,
        0.00483321,
        0.0050948,
        0.00417787,
        0.00433106,
        0.00481941,
        0.00507909,
        0.00476551,
        0.00486619,
        0.00480939,
        0.00460409,
        0.00533729,
        0.00503827,
        0.00501211,
        0.00519912,
        0.00485336,
        0.00520494,
        0.00540025,
        0.00542507,
        0.00537355,
        0.00584744,
        0.00561435,
        0.0050465,
        0.00452418,
        0.00508327,
        0.00502514,
        0.00470249,
        0.00441353,
        0.00475434,
        0.00497149,
        0.00524308,
        0.00531125,
        0.00448604,
        0.00516266,
        0.004973,
        0.00441965,
        0.00442677,
        0.00474066,
        0.00446493,
        0.00428435,
        0.00464744,
        0.00432518,
        0.0049061,
        0.00504723,
        0.0045641,
        0.0052886,
        0.00465419,
        0.00443814,
        0.00485417,
        0.00532284,
        0.00531066,
        0.00471878,
        0.00432074,
        0.00517032,
        0.00508805,
        0.00548152,
        0.00573723,
        0.00537814,
        0.00511885,
        0.00531046,
        0.00525267,
        0.00481535,
        0.00498872,
        0.00531648,
        0.00565202,
        0.00593156,
        0.00607378,
        0.00560284,
        0.00512485,
        0.00502718,
        0.00578095,
        0.00566643,
        0.00514161,
        0.00479876,
        0.00507038,
        0.00501357,
        0.00485214,
        0.00490945,
        0.00522964,
        0.0052233,
        0.00469832,
        0.00468985,
        0.00524919,
        0.00584416,
        0.00569895,
        0.0051526,
        0.00476677,
        0.00529285,
        0.00490126,
        0.0052254,
        0.00558868,
        0.00541945,
        0.00532031,
        0.00555545,
        0.00550377,
        0.00510585,
        0.00580009,
        0.00579404,
        0.00516089,
        0.00445092,
        0.00507305,
        0.00554228,
        0.00528944,
        0.0047215,
        0.00463613,
        0.00540653,
        0.00522458,
        0.0050517,
        0.00570119,
        0.0051351,
        0.00518519,
        0.00568386,
        0.00628428,
        0.00542098,
        0.00513915,
        0.00549579,
        0.0060577,
        0.0054737,
        0.00503232,
        0.00526198,
        0.005696,
        0.00540787,
        0.00552425,
        0.00554527,
        0.00546248,
        0.00529792,
        0.00532584,
        0.00496079,
        0.00467482,
        0.00469997,
        0.00488091,
        0.00541137,
        0.00541561,
        0.00514804,
        0.00625899,
        0.00597869,
        0.0053202,
        0.0048105,
        0.00511058,
        0.00532266,
        0.00531101,
        0.00518274,
        0.005067,
        0.00539534,
        0.00544231,
        0.0052456,
        0.004899,
        0.00487599,
        0.00511823,
        0.00525818,
        0.00517645,
        0.00487956,
        0.00512679,
        0.00541438,
        0.00541695,
        0.00472151,
        0.00446718,
        0.00471658,
        0.00514809,
        0.00539156,
        0.0052084,
        0.00555718,
        0.00586514,
        0.00571713,
        0.00468094,
        0.00516785,
        0.00523096,
        0.00470127,
        0.00538622,
        0.00467258,
        0.00434183,
        0.00442951,
        0.00442373,
        0.00483933,
        0.00486974,
        0.00473799,
        0.00474538,
        0.00493937,
        0.00499207,
        0.0046949,
        0.00404,
        0.00415637,
        0.00434852,
        0.00451708,
        0.0046015,
        0.00450032,
        0.00444744,
        0.00475871,
        0.00505447,
        0.00446104,
        0.00415384,
        0.00421008,
        0.00438776,
        0.00440906,
        0.00445545,
        0.00454221,
        0.00458637,
        0.00452504,
        0.00426969,
        0.00433276,
        0.00449915,
        0.00464662,
        0.0046417,
        0.00445979,
        0.00448915,
        0.00455022,
        0.0041261,
        0.00409728,
        0.00447634,
        0.00485011,
        0.00471831,
        0.0047719,
        0.00469919,
        0.00446774,
        0.0041495,
        0.00451952,
        0.00480796,
        0.00493417,
        0.00489907,
        0.00486689,
        0.0044737,
        0.00458594,
        0.00488914,
        0.00419527,
        0.00399299,
        0.00448353,
        0.00504392,
        0.00485009,
        0.00520086,
        0.00531553,
        0.005113,
        0.00458568,
        0.00434828,
        0.00437147,
        0.00472123,
        0.00530974,
        0.00560733,
        0.00491075,
        0.004762,
        0.00511284,
        0.00507727,
        0.00527659,
        0.00497226,
        0.00462575,
        0.00493774,
        0.00458573,
        0.00486258,
        0.00495478,
        0.00439833,
        0.00515883,
        0.00496787,
        0.00482705,
        0.00511759,
        0.00542254,
        0.00537483,
        0.0052664,
        0.00513093,
        0.00486765,
        0.00479804,
        0.00524885,
        0.00591002,
        0.0062718,
        0.00633362,
        0.00571033,
        0.005244,
        0.00563361,
        0.00604466,
        0.00578322,
        0.00579337,
        0.00624361,
        0.00559845,
        0.00597606,
        0.00574455,
        0.00497287,
        0.00502293,
        0.00535421,
        0.00535757,
        0.00513034,
        0.00492577,
        0.00514885,
        0.00505276,
        0.00524682,
        0.00614062,
        0.00503346,
        0.00507546,
        0.00539222,
        0.0056208,
        0.0062026,
        0.00606789,
        0.00536008,
        0.00462978,
        0.00530462,
        0.00555117,
        0.00529795,
        0.00495813,
        0.00517512,
        0.00562759,
        0.00534603,
        0.0046266,
        0.0039323,
        0.00536852,
        0.00534869,
        0.00525629,
        0.00572661,
        0.00565895,
        0.00553476,
        0.005211,
        0.00484757,
        0.00508345,
        0.00464575,
        0.00462771,
        0.00480866,
        0.0045086,
        0.00485856,
        0.00504154,
        0.00494652,
        0.00451398,
        0.00430784,
        0.00445893,
        0.00459559,
        0.00449686,
        0.00414469,
        0.00413493,
        0.00429306,
        0.00442039,
        0.00402656,
        0.00387723,
        0.00389728,
        0.00425387,
        0.00527663,
        0.00431011,
        0.00426698,
        0.0045963,
        0.0045555,
        0.00419355,
        0.00447438,
        0.00456293,
        0.00409517,
        0.00438173,
        0.00444803,
        0.00438849,
        0.00440523,
        0.00512351,
        0.00496216,
        0.00494926,
        0.0051119,
        0.00512731,
        0.0046496,
        0.00479268,
        0.0049481,
        0.0043291,
        0.00393968,
        0.00440311,
        0.00467509,
        0.00418786,
        0.00432214,
        0.00412835,
        0.00425599,
        0.00475443,
        0.0048219,
        0.00522145,
        0.00523856,
        0.00476513,
        0.00384312,
        0.00407531,
        0.00467068,
        0.00501583,
        0.00448578,
        0.00436146,
        0.0043085,
        0.00454643,
        0.00511966,
        0.00493904,
        0.00508694,
        0.0052944,
        0.0053776,
        0.0050504,
        0.00486187,
        0.00490257,
        0.00505384,
        0.0049781,
        0.00488404,
        0.00483609,
        0.00495391,
        0.00539439,
        0.00486434,
        0.00490148,
        0.00516058,
        0.00538629,
        0.00589566,
        0.00535259,
        0.00511659,
        0.00561706,
        0.006031,
        0.0063715,
        0.00606075,
        0.00533896,
        0.00514798,
        0.00528665,
        0.00541935,
        0.00553864,
        0.00569054,
        0.00642971,
        0.00664875,
        0.00639881,
        0.0058057,
        0.00563557,
        0.00541334,
        0.00537535,
        0.00548507,
        0.00496842,
        0.00499998,
        0.00489703,
        0.00462487,
        0.00462312,
        0.00473277,
        0.00504346,
        0.00528905,
        0.00505255,
        0.00504747,
        0.00529175,
        0.00542112,
        0.00531559,
        0.00481358,
        0.00482962,
        0.00544593,
        0.00537405,
        0.00519023,
        0.00521164,
        0.0054802,
        0.0050867,
        0.00468755,
        0.00468888,
        0.00497028,
        0.00478142,
        0.00511796,
        0.00505022,
        0.00490595,
        0.00554522,
        0.0053024,
        0.00515915,
        0.00536268,
        0.00607944,
        0.00563412,
        0.0050646,
        0.00504679,
        0.00577263,
        0.00533851,
        0.00518246,
        0.00510675,
        0.00500857,
        0.00475764,
        0.00524884,
        0.00496677,
        0.00421346,
        0.00405014,
        0.00459546,
        0.00520331,
        0.00533509,
        0.0045106,
        0.00499603,
        0.00513164,
        0.00496714,
        0.00464289,
        0.00492563,
        0.00487477,
        0.00488653,
        0.00497461,
        0.00454439,
        0.00443205,
        0.00442472,
        0.00454195,
        0.00490512,
        0.00512214,
        0.00526598,
        0.00523335,
        0.00489868,
        0.00536489,
        0.00516148,
        0.00483085,
        0.00473682,
        0.00449237,
        0.00499075,
        0.00584967,
        0.00647406,
        0.00485675,
        0.00494546,
        0.00505967,
        0.00497989,
        0.00514079,
        0.00508254,
        0.00486939,
        0.00480712,
        0.00526891,
        0.00457996,
        0.00459947,
        0.00508506,
        0.00499794,
        0.0056654,
        0.0055867,
        0.00545435,
        0.00550135,
        0.00581218,
        0.00671094,
        0.00696042,
        0.00666006,
        0.0062993,
        0.00595285,
        0.00677784,
        0.00725717,
        0.00618247,
        0.00809728,
        0.00821066,
        0.00795109,
        0.0081375,
        0.00881335,
        0.00824559,
        0.008207,
        0.00859212,
        0.00725665,
        0.00861084,
        0.00891376,
        0.00906391,
        0.0116269,
        0.0114326,
        0.0105697,
        0.00973292,
        0.00952993,
        0.0110335,
        0.0119218,
        0.0126521,
        0.0134108,
        0.0133359,
        0.0153376,
        0.0175251,
        0.0189833,
        0.0188691,
        0.0234079,
        0.0289669,
        0.0354882,
        0.0440295,
        0.0419918,
        0.0310689,
        0.0277273,
        0.0290217,
        0.0266894,
        0.0225024,
        0.0199677,
        0.0177252,
        0.0165994,
        0.0152987,
        0.0129945,
        0.0128265,
        0.0120615,
        0.0111777,
        0.0105172,
        0.010738,
        0.0100056,
        0.00969692,
        0.0097189,
        0.0089162
    ]
}