GET /api/crires_4645nm_4978nm_vstar_ht_lup_01/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.645413828562996,
        4.6454338785701745,
        4.645453928577354,
        4.645473978584532,
        4.6454940285917115,
        4.645514078598891,
        4.645534128606069,
        4.645554178613249,
        4.645574228620428,
        4.645594278627608,
        4.645614328634786,
        4.645634378641965,
        4.645654428649145,
        4.645674478656323,
        4.645694528663503,
        4.645714578670683,
        4.645935128749652,
        4.645955178756831,
        4.645975228764011,
        4.64599527877119,
        4.646015328778369,
        4.646035378785547,
        4.646055428792727,
        4.646075478799906,
        4.646095528807085,
        4.646115578814265,
        4.646135628821445,
        4.646155678828623,
        4.646175728835802,
        4.646195778842981,
        4.64621582885016,
        4.64623587885734,
        4.646255928864519,
        4.646275978871698,
        4.646296028878876,
        4.646316078886056,
        4.646336128893235,
        4.6463561789004135,
        4.646376228907593,
        4.646396278914773,
        4.646416328921951,
        4.64643637892913,
        4.646456428936309,
        4.646476478943488,
        4.646496528950668,
        4.646516578957847,
        4.646536628965027,
        4.646556678972205,
        4.646576728979384,
        4.646596778986564,
        4.646616828993742,
        4.646636879000922,
        4.646656929008101,
        4.646676979015281,
        4.64669702902246,
        4.646717079029638,
        4.646737129036818,
        4.6467571790439965,
        4.6467772290511755,
        4.646797279058355,
        4.6468173290655335,
        4.646837379072713,
        4.646857429079892,
        4.646877479087071,
        4.64689752909425,
        4.646917579101429,
        4.646937629108609,
        4.646957679115788,
        4.646977729122967,
        4.646997779130146,
        4.647017829137324,
        4.647037879144504,
        4.647057929151684,
        4.647077979158863,
        4.647098029166042,
        4.647118079173222,
        4.6471381291804,
        4.647158179187579,
        4.647178229194758,
        4.6471982792019375,
        4.6472183292091165,
        4.6472383792162955,
        4.647258429223475,
        4.647278479230653,
        4.647298529237832,
        4.647318579245012,
        4.647338629252191,
        4.64735867925937,
        4.64737872926655,
        4.647398779273729,
        4.647418829280907,
        4.647438879288086,
        4.647458929295266,
        4.647478979302446,
        4.647499029309624,
        4.647519079316804,
        4.647539129323983,
        4.647559179331161,
        4.647579229338341,
        4.64759927934552,
        4.6476193293526995,
        4.647639379359878,
        4.6476594293670574,
        4.647679479374237,
        4.6476995293814145,
        4.647719579388594,
        4.647739629395774,
        4.647759679402952,
        4.647779729410132,
        4.647799779417311,
        4.647819829424491,
        4.647839879431669,
        4.647859929438848,
        4.647879979446028,
        4.647900029453206,
        4.647920079460386,
        4.647940129467566,
        4.647960179474743,
        4.647980229481923,
        4.648000279489103,
        4.648020329496282,
        4.648040379503461,
        4.64806042951064,
        4.648080479517819,
        4.6481005295249975,
        4.6481205795321765,
        4.648140629539356,
        4.6481606795465344,
        4.648180729553714,
        4.648200779560894,
        4.648220829568073,
        4.648240879575251,
        4.64826092958243,
        4.64828097958961,
        4.648301029596789,
        4.648321079603968,
        4.648341129611148,
        4.648361179618328,
        4.648381229625505,
        4.648401279632685,
        4.648421329639864,
        4.648441379647043,
        4.648461429654223,
        4.648481479661402,
        4.6485015296685805,
        4.648521579675759,
        4.6485416296829385,
        4.648561679690118,
        4.648581729697296,
        4.648601779704476,
        4.648621829711656,
        4.648641879718834,
        4.648661929726013,
        4.648681979733192,
        4.648702029740371,
        4.648722079747551,
        4.64874212975473,
        4.64876217976191,
        4.648782229769088,
        4.648802279776267,
        4.648822329783447,
        4.648842379790625,
        4.648862429797805,
        4.648882479804984,
        4.648902529812163,
        4.6489225798193425,
        4.648942629826521,
        4.6489626798337005,
        4.6489827298408795,
        4.649002779848058,
        4.649022829855238,
        4.649042879862416,
        4.649062929869596,
        4.649082979876775,
        4.649103029883953,
        4.649123079891133,
        4.649143129898312,
        4.649163179905492,
        4.649183229912671,
        4.64920327991985,
        4.649223329927029,
        4.649243379934207,
        4.649263429941387,
        4.649283479948567,
        4.649303529955746,
        4.649323579962925,
        4.6493436299701045,
        4.649363679977283,
        4.649383729984462,
        4.649403779991641,
        4.64942382999882,
        4.649604280063433,
        4.649624330070611,
        4.64964438007779,
        4.649664430084969,
        4.649684480092149,
        4.649704530099329,
        4.649724580106507,
        4.649744630113687,
        4.649764680120865,
        4.649784730128044,
        4.649804780135224,
        4.6498248301424026,
        4.6498448801495815,
        4.6498649301567605,
        4.64988498016394,
        4.649905030171119,
        4.649925080178297,
        4.649945130185477,
        4.649965180192657,
        4.649985230199835,
        4.650005280207015,
        4.650025330214194,
        4.650045380221372,
        4.650065430228552,
        4.650085480235731,
        4.650105530242911,
        4.650125580250089,
        4.650145630257269,
        4.650165680264449,
        4.650185730271626,
        4.650205780278806,
        4.650225830285986,
        4.6502458802931645,
        4.6502659303003435,
        4.6502859803075225,
        4.650306030314702,
        4.65032608032188,
        4.650346130329059,
        4.650366180336239,
        4.650386230343417,
        4.650406280350597,
        4.650426330357777,
        4.650446380364956,
        4.650466430372134,
        4.650486480379313,
        4.650506530386493,
        4.650526580393672,
        4.650546630400851,
        4.650566680408031,
        4.65058673041521,
        4.650606780422388,
        4.650626830429568,
        4.650646880436747,
        4.650666930443926,
        4.6506869804511055,
        4.6507070304582845,
        4.6507270804654635,
        4.6507471304726415,
        4.650767180479821,
        4.650787230487,
        4.650807280494179,
        4.650827330501359,
        4.650847380508539,
        4.650867430515717,
        4.650887480522896,
        4.650907530530075,
        4.650927580537254,
        4.650947630544434,
        4.650967680551613,
        4.650987730558793,
        4.651007780565971,
        4.65102783057315,
        4.65104788058033,
        4.651067930587508,
        4.651087980594688,
        4.651108030601867,
        4.651128080609046,
        4.651148130616225,
        4.6511681806234035,
        4.651188230630583,
        4.651208280637762,
        4.651228330644941,
        4.651248380652121,
        4.651268430659299,
        4.651288480666478,
        4.651308530673658,
        4.651328580680836,
        4.651348630688016,
        4.651368680695195,
        4.651388730702375,
        4.651408780709554,
        4.651428830716732,
        4.651448880723912,
        4.65146893073109,
        4.65148898073827,
        4.65150903074545,
        4.651529080752628,
        4.651549130759808,
        4.6515691807669866,
        4.6515892307741655,
        4.6516092807813445,
        4.6516293307885235,
        4.651649380795703,
        4.651669430802882,
        4.651689480810061,
        4.65170953081724,
        4.651729580824418,
        4.651749630831598,
        4.651769680838778,
        4.651789730845957,
        4.651809780853136,
        4.651829830860316,
        4.651849880867494,
        4.651869930874673,
        4.651889980881852,
        4.651910030889032,
        4.651930080896212,
        4.65195013090339,
        4.65197018091057,
        4.651990230917748,
        4.652010280924927,
        4.6520303309321065,
        4.6520503809392855,
        4.652070430946464,
        4.652090480953643,
        4.652110530960823,
        4.652130580968002,
        4.65215063097518,
        4.65217068098236,
        4.65219073098954,
        4.652210780996718,
        4.652230831003898,
        4.652250881011077,
        4.652270931018255,
        4.652290981025435,
        4.652311031032614,
        4.652331081039794,
        4.652351131046972,
        4.652371181054152,
        4.652391231061332,
        4.652411281068509,
        4.652431331075689,
        4.652451381082868,
        4.652471431090047,
        4.652491481097226,
        4.652511531104405,
        4.652531581111585,
        4.652551631118763,
        4.652571681125942,
        4.652591731133122,
        4.6526117811403,
        4.65263183114748,
        4.65265188115466,
        4.652671931161839,
        4.652691981169017,
        4.652712031176196,
        4.652732081183376,
        4.652752131190555,
        4.652772181197734,
        4.652792231204914,
        4.652812281212092,
        4.652832331219271,
        4.652852381226451,
        4.65287243123363,
        4.652892481240809,
        4.652912531247988,
        4.652932581255167,
        4.6529526312623455,
        4.6529726812695245,
        4.652992731276704,
        4.653012781283883,
        4.653032831291062,
        4.653052881298242,
        4.653072931305421,
        4.653092981312599,
        4.653113031319779,
        4.653133081326958,
        4.653153131334137,
        4.653173181341317,
        4.653193231348496,
        4.653213281355675,
        4.653233331362853,
        4.653253381370033,
        4.653273431377213,
        4.653293481384391,
        4.653313531391571,
        4.6533335813987495,
        4.6533536314059285,
        4.6533736814131075,
        4.6533937314202864,
        4.653413781427465,
        4.653433831434645,
        4.653453881441824,
        4.653473931449004,
        4.653493981456182,
        4.653514031463361,
        4.653534081470541,
        4.653554131477719,
        4.653574181484899,
        4.653594231492078,
        4.653614281499258,
        4.653634331506437,
        4.653654381513615,
        4.653674431520795,
        4.653694481527973,
        4.653714531535153,
        4.6537345815423325,
        4.653754631549511,
        4.6537746815566905,
        4.6537947315638695,
        4.653814781571048,
        4.653834831578227,
        4.653854881585406,
        4.653874931592586,
        4.653894981599765,
        4.653915031606944,
        4.653935081614123,
        4.653955131621301,
        4.653975181628481,
        4.653995231635661,
        4.65401528164284,
        4.654035331650019,
        4.654055381657199,
        4.654075431664377,
        4.654095481671556,
        4.654115531678735,
        4.654135581685915,
        4.654155631693094,
        4.654175681700273,
        4.6541957317074525,
        4.654215781714631,
        4.6542358317218095,
        4.654255881728989,
        4.654275931736168,
        4.654295981743347,
        4.654316031750526,
        4.654336081757706,
        4.654356131764885,
        4.654376181772063,
        4.654396231779243,
        4.654416281786423,
        4.654436331793601,
        4.654456381800781,
        4.654476431807959,
        4.654496481815138,
        4.654516531822318,
        4.654536581829497,
        4.654556631836677,
        4.654576681843855,
        4.654596731851035,
        4.654616781858214,
        4.654636831865392,
        4.6546568818725715,
        4.6546769318797505,
        4.6546969818869295,
        4.654717031894109,
        4.654737081901288,
        4.654757131908467,
        4.654777181915646,
        4.654797231922825,
        4.654817281930005,
        4.654837331937183,
        4.654857381944363,
        4.654877431951543,
        4.65489748195872,
        4.6549175319659,
        4.654937581973079,
        4.654957631980259,
        4.654977681987438,
        4.654997731994617,
        4.655017782001797,
        4.655037832008975,
        4.655057882016154,
        4.6550779320233335,
        4.655097982030512,
        4.6551180320376915,
        4.655138082044871,
        4.65515813205205,
        4.655178182059228,
        4.655198232066407,
        4.655218282073587,
        4.655238332080766,
        4.655258382087945,
        4.655278432095125,
        4.655298482102304,
        4.655318532109482,
        4.655338582116662,
        4.655358632123841,
        4.65537868213102,
        4.6553987321382,
        4.655418782145379,
        4.655438832152558,
        4.655458882159736,
        4.655478932166916,
        4.6554989821740955,
        4.655519032181274,
        4.6555390821884535,
        4.655559132195632,
        4.655579182202811,
        4.65559923220999,
        4.655619282217169,
        4.655639332224348,
        4.655659382231528,
        4.655679432238707,
        4.655699482245887,
        4.655719532253065,
        4.655739582260244,
        4.655759632267424,
        4.655779682274602,
        4.655799732281782,
        4.655819782288961,
        4.65583983229614,
        4.65585988230332,
        4.655879932310498,
        4.655899982317678,
        4.655920032324856,
        4.655940082332036,
        4.6559601323392155,
        4.6559801823463935,
        4.656000232353573,
        4.656020282360752,
        4.6560403323679305,
        4.65606038237511,
        4.656080432382289,
        4.656100482389469,
        4.656120532396648,
        4.656140582403826,
        4.656160632411006,
        4.656180682418184,
        4.656200732425364,
        4.656220782432544,
        4.656240832439723,
        4.656260882446902,
        4.65628093245408,
        4.65630098246126,
        4.656321032468439,
        4.656341082475618,
        4.656361132482798,
        4.656381182489977,
        4.6564012324971555,
        4.6564212825043345,
        4.6564413325115135,
        4.6564613825186925,
        4.656481432525872,
        4.656501482533051,
        4.65652153254023,
        4.656541582547409,
        4.656561632554588,
        4.656581682561767,
        4.656601732568946,
        4.656621782576126,
        4.656641832583306,
        4.656661882590484,
        4.656681932597664,
        4.656701982604842,
        4.656722032612021,
        4.656742082619201,
        4.65676213262638,
        4.656782182633559,
        4.656802232640738,
        4.6568222826479175,
        4.6568423326550965,
        4.656862382662275,
        4.6568824326694545,
        4.656902482676633,
        4.656922532683812,
        4.657042832726888,
        4.657062882734066,
        4.657082932741246,
        4.657102982748426,
        4.657123032755603,
        4.657143082762783,
        4.657163132769962,
        4.657183182777142,
        4.657203232784321,
        4.6572232827915,
        4.6572433327986795,
        4.657263382805857,
        4.657283432813037,
        4.6573034828202164,
        4.6573235328273945,
        4.657343582834574,
        4.657363632841754,
        4.657383682848933,
        4.657403732856111,
        4.65742378286329,
        4.65744383287047,
        4.657463882877649,
        4.657483932884828,
        4.657503982892008,
        4.657524032899186,
        4.657544082906365,
        4.657704482963799,
        4.6577245329709775,
        4.6577445829781565,
        4.657764632985336,
        4.657784682992515,
        4.657804732999693,
        4.657824783006873,
        4.657844833014052,
        4.657864883021231,
        4.65788493302841,
        4.65790498303559,
        4.65792503304277,
        4.657945083049947,
        4.657965133057127,
        4.657985183064307,
        4.658005233071485,
        4.658025283078665,
        4.658045333085844,
        4.658065383093023,
        4.658085433100202,
        4.658105483107381,
        4.658125533114561,
        4.658145583121739,
        4.6581656331289185,
        4.658185683136098,
        4.6582057331432765,
        4.658225783150455,
        4.658245833157635,
        4.658265883164813,
        4.658285933171993,
        4.658305983179172,
        4.658326033186352,
        4.658346083193531,
        4.658366133200709,
        4.658386183207889,
        4.658406233215067,
        4.658426283222247,
        4.658446333229427,
        4.658466383236605,
        4.658486433243785,
        4.658506483250963,
        4.658526533258143,
        4.658546583265322,
        4.658566633272501,
        4.6585866832796805,
        4.6586067332868595,
        4.6586267832940385,
        4.658646833301217,
        4.658666883308396,
        4.658686933315575,
        4.658706983322755,
        4.658727033329934,
        4.658747083337113,
        4.658767133344292,
        4.658787183351471,
        4.65880723335865,
        4.658827283365829,
        4.658847333373009,
        4.658867383380189,
        4.658887433387367,
        4.658907483394547,
        4.658927533401725,
        4.658947583408904,
        4.658967633416084,
        4.658987683423263,
        4.659007733430442,
        4.659027783437621,
        4.6590478334448004,
        4.659067883451979,
        4.6590879334591575,
        4.659107983466337,
        4.659128033473516,
        4.659148083480695,
        4.659168133487875,
        4.659188183495054,
        4.659208233502232,
        4.659228283509412,
        4.659248333516591,
        4.659268383523771,
        4.659288433530949,
        4.659308483538129,
        4.659328533545309,
        4.659348583552486,
        4.659368633559666,
        4.659388683566845,
        4.659408733574024,
        4.659428783581204,
        4.659448833588383,
        4.6594688835955616,
        4.65948893360274,
        4.6595089836099195,
        4.659529033617099,
        4.659549083624277,
        4.659569133631457,
        4.659589183638637,
        4.659609233645815,
        4.659629283652994,
        4.659649333660173,
        4.659669383667353,
        4.659689433674532,
        4.659709483681711,
        4.659729533688891,
        4.659749583696068,
        4.659769633703248,
        4.659789683710428,
        4.659809733717607,
        4.659829783724786,
        4.659849833731966,
        4.659869883739145,
        4.659889933746323,
        4.659909983753502,
        4.6599300337606815,
        4.6599500837678605,
        4.659970133775039,
        4.659990183782219,
        4.660010233789398,
        4.660030283796576,
        4.660050333803756,
        4.660070383810935,
        4.660090433818114,
        4.660110483825293,
        4.660130533832473,
        4.660150583839652,
        4.66017063384683,
        4.66019068385401,
        4.66021073386119,
        4.660230783868368,
        4.660250833875548,
        4.660270883882727,
        4.660290933889906,
        4.660310983897085,
        4.660331033904264,
        4.660351083911443,
        4.660371133918622,
        4.660391183925801,
        4.660411233932981,
        4.660431283940159,
        4.660451333947338,
        4.660471383954518,
        4.660491433961696,
        4.660511483968876,
        4.660531533976055,
        4.660551583983235,
        4.660571633990414,
        4.660591683997592,
        4.660611734004772,
        4.66063178401195,
        4.66065183401913,
        4.66067188402631,
        4.660691934033488,
        4.660711984040668,
        4.660732034047846,
        4.660752084055026,
        4.660772134062205,
        4.660792184069384,
        4.660812234076563,
        4.660832284083742,
        4.660852334090921,
        4.6608723840981,
        4.660892434105278,
        4.660912484112458,
        4.660932534119638,
        4.660952584126817,
        4.660972634133996,
        4.660992684141174,
        4.661012734148354,
        4.661032784155533,
        4.661293434248862,
        4.66131348425604,
        4.66133353426322,
        4.661353584270399,
        4.661373634277578,
        4.661393684284758,
        4.661413734291936,
        4.661433784299115,
        4.661453834306295,
        4.661473884313474,
        4.661493934320654,
        4.661513984327832,
        4.661534034335012,
        4.661554084342191,
        4.661574134349369,
        4.661594184356549,
        4.661614234363728,
        4.661634284370907,
        4.6616543343780865,
        4.6616743843852655,
        4.6616944343924445,
        4.6617144843996225,
        4.661734534406802,
        4.661754584413982,
        4.66177463442116,
        4.66179468442834,
        4.66181473443552,
        4.661834784442697,
        4.661854834449877,
        4.661874884457056,
        4.661894934464236,
        4.661914984471415,
        4.661935034478594,
        4.661955084485774,
        4.661975134492951,
        4.661995184500131,
        4.662015234507311,
        4.662035284514489,
        4.662055334521669,
        4.6620753845288485,
        4.6620954345360275,
        4.662115484543206,
        4.6621355345503845,
        4.662155584557564,
        4.662175634564743,
        4.662195684571922,
        4.662215734579102,
        4.662235784586281,
        4.662255834593459,
        4.662275884600639,
        4.662295934607818,
        4.662315984614997,
        4.662336034622176,
        4.662356084629356,
        4.662376134636535,
        4.662396184643713,
        4.662416234650893,
        4.662436284658073,
        4.662456334665251,
        4.662476384672431,
        4.66249643467961,
        4.662516484686789,
        4.662536534693968,
        4.6625565847011465,
        4.6625766347083255,
        4.6625966847155045,
        4.662616734722684,
        4.662636784729864,
        4.662656834737041,
        4.662676884744221,
        4.6626969347514,
        4.662716984758579,
        4.662737034765759,
        4.662757084772938,
        4.662777134780117,
        4.662797184787296,
        4.662817234794475,
        4.662837284801655,
        4.662857334808833,
        4.662877384816013,
        4.662897434823193,
        4.662917484830371,
        4.66293753483755,
        4.662957584844729,
        4.6629776348519085,
        4.6629976848590875,
        4.6630177348662665,
        4.663037784873446,
        4.663057834880625,
        4.663077884887803,
        4.663097934894983,
        4.663117984902161,
        4.663138034909341,
        4.663158084916521,
        4.6631781349237,
        4.663198184930879,
        4.663218234938057,
        4.663238284945237,
        4.663258334952416,
        4.663278384959595,
        4.663298434966775,
        4.663318484973953,
        4.663338534981133,
        4.663358584988312,
        4.663378634995491,
        4.66339868500267,
        4.6634187350098495,
        4.6634387850170285,
        4.663458835024207,
        4.663478885031386,
        4.663498935038565,
        4.663518985045744,
        4.663539035052923,
        4.663559085060103,
        4.663579135067282,
        4.663599185074461,
        4.663619235081641,
        4.663639285088819,
        4.663659335095998,
        4.663679385103178,
        4.663699435110357,
        4.663719485117536,
        4.663739535124715,
        4.663759585131895,
        4.663779635139074,
        4.663799685146252,
        4.663819735153432,
        4.663839785160611,
        4.66385983516779,
        4.663879885174969,
        4.663899935182148,
        4.663919985189327,
        4.6639400351965055,
        4.663960085203685,
        4.663980135210865,
        4.664000185218043,
        4.664020235225223,
        4.664040285232403,
        4.66406033523958,
        4.66408038524676,
        4.664100435253939,
        4.664120485261119,
        4.664140535268298,
        4.664160585275477,
        4.664180635282657,
        4.664200685289834,
        4.664220735297014,
        4.664240785304194,
        4.664260835311372,
        4.664280885318552,
        4.664300935325731,
        4.6643209853329095,
        4.6643410353400885,
        4.6643610853472675,
        4.664381135354447,
        4.664401185361626,
        4.664421235368805,
        4.664441285375985,
        4.664461335383162,
        4.664481385390342,
        4.664501435397522,
        4.664521485404701,
        4.66454153541188,
        4.664561585419059,
        4.664581635426239,
        4.664601685433417,
        4.664621735440596,
        4.664641785447776,
        4.664661835454956,
        4.664681885462134,
        4.6647019354693136,
        4.6647219854764925,
        4.664742035483671,
        4.6647620854908505,
        4.6647821354980294,
        4.664802185505208,
        4.664822235512387,
        4.664842285519567,
        4.664862335526747,
        4.664882385533924,
        4.664902435541104,
        4.664922485548283,
        4.664942535555462,
        4.664962585562642,
        4.664982635569821,
        4.665002685577,
        4.665022735584179,
        4.665042785591358,
        4.665062835598538,
        4.665082885605716,
        4.665102935612896,
        4.6651229856200755,
        4.665143035627254,
        4.665163085634433,
        4.665183135641612,
        4.6652031856487906,
        4.66522323565597,
        4.665243285663149,
        4.665263335670329,
        4.665283385677508,
        4.665303435684686,
        4.665323485691866,
        4.665343535699044,
        4.665363585706224,
        4.665383635713404,
        4.665403685720582,
        4.665423735727762,
        4.66544378573494,
        4.66546383574212,
        4.665483885749299,
        4.665503935756478,
        4.665523985763658,
        4.665544035770836,
        4.665564085778016,
        4.665584135785195,
        4.665604185792374,
        4.6656242357995525,
        4.665644285806732,
        4.665664335813911,
        4.66568438582109,
        4.665704435828269,
        4.665724485835448,
        4.665744535842627,
        4.665764585849806,
        4.665784635856986,
        4.665804685864165,
        4.665824735871344,
        4.665844785878524,
        4.665864835885702,
        4.665884885892881,
        4.665904935900061,
        4.66592498590724,
        4.665945035914419,
        4.665965085921598,
        4.665985135928777,
        4.666005185935957,
        4.666025235943135,
        4.6660452859503145,
        4.6660653359574935,
        4.6660853859646725,
        4.666105435971852,
        4.66612548597903,
        4.666145535986209,
        4.666165585993388,
        4.666185636000568,
        4.666205686007748,
        4.666225736014926,
        4.666245786022106,
        4.666265836029285,
        4.666285886036463,
        4.666305936043643,
        4.666325986050822,
        4.666346036058001,
        4.666366086065181,
        4.66638613607236,
        4.666406186079539,
        4.666426236086717,
        4.666446286093897,
        4.6664663361010765,
        4.666486386108255,
        4.6665064361154345,
        4.666526486122614,
        4.666546536129792,
        4.666566586136971,
        4.66658663614415,
        4.66660668615133,
        4.666626736158509,
        4.666646786165688,
        4.666666836172868,
        4.666686886180045,
        4.666706936187225,
        4.666726986194405,
        4.666747036201584,
        4.666767086208763,
        4.666787136215942,
        4.666807186223122,
        4.6668272362303,
        4.666847286237479,
        4.666867336244659,
        4.666887386251838,
        4.666907436259017,
        4.6669274862661965,
        4.666947536273375,
        4.6669675862805535,
        4.666987636287733,
        4.667007686294912,
        4.667027736302091,
        4.66704778630927,
        4.66706783631645,
        4.667087886323629,
        4.667107936330807,
        4.667127986337987,
        4.667148036345166,
        4.667168086352345,
        4.667188136359525,
        4.667208186366704,
        4.667228236373883,
        4.667248286381062,
        4.667268336388241,
        4.667288386395421,
        4.667308436402599,
        4.667328486409779,
        4.6673485364169585,
        4.6673685864241365,
        4.6673886364313155,
        4.6674086864384945,
        4.6674287364456735,
        4.667448786452853,
        4.667468836460032,
        4.667488886467212,
        4.667508936474389,
        4.667528986481569,
        4.667549036488749,
        4.667569086495927,
        4.667589136503107,
        4.667609186510287,
        4.667629236517465,
        4.667649286524644,
        4.667669336531823,
        4.667689386539003,
        4.667709436546182,
        4.667729486553361,
        4.667749536560541,
        4.667769586567719,
        4.667789636574898,
        4.6678096865820775,
        4.667829736589256,
        4.6678497865964355,
        4.667869836603615,
        4.667889886610794,
        4.667909936617973,
        4.667929986625151,
        4.667950036632331,
        4.66797008663951,
        4.667990136646689,
        4.668010186653869,
        4.668030236661047,
        4.668050286668227,
        4.668070336675406,
        4.668090386682585,
        4.668110436689764,
        4.668130486696943,
        4.668150536704123,
        4.668170586711302,
        4.668190636718481,
        4.66821068672566,
        4.6682307367328395,
        4.668250786740018,
        4.6682708367471974,
        4.668290886754376,
        4.668310936761555,
        4.668330986768735,
        4.668351036775913,
        4.668371086783092,
        4.668391136790271,
        4.668411186797451,
        4.668431236804631,
        4.668451286811809,
        4.668471336818989,
        4.668491386826168,
        4.668511436833346,
        4.668531486840526,
        4.668551536847705,
        4.668571586854884,
        4.668591636862064,
        4.668611686869243,
        4.668631736876422,
        4.6686517868836,
        4.66867183689078,
        4.668691886897959,
        4.6687119369051375,
        4.668731986912317,
        4.668752036919496,
        4.6687720869266744,
        4.668792136933854,
        4.668812186941033,
        4.668832236948213,
        4.668852286955392,
        4.668872336962571,
        4.668892386969751,
        4.668912436976928,
        4.668932486984108,
        4.668952536991288,
        4.668972586998467,
        4.668992637005646,
        4.669012687012825,
        4.669032737020005,
        4.669052787027183,
        4.669072837034362,
        4.669092887041542,
        4.6691129370487205,
        4.6691329870558995,
        4.669153037063079,
        4.6691730870702575,
        4.669193137077436,
        4.669213187084616,
        4.669233237091795,
        4.669253287098974,
        4.669273337106153,
        4.669293387113333,
        4.669313437120511,
        4.66933348712769,
        4.66935353713487,
        4.669373587142049,
        4.669393637149228,
        4.669413687156408,
        4.669433737163587,
        4.669453787170765,
        4.669473837177945,
        4.669493887185124,
        4.669513937192303,
        4.669533987199482,
        4.6695540372066615,
        4.669574087213841,
        4.669594137221019,
        4.669614187228198,
        4.669634237235377,
        4.669654287242556,
        4.669674337249736,
        4.669694387256915,
        4.669714437264094,
        4.669734487271272,
        4.669754537278452,
        4.669774587285632,
        4.66979463729281,
        4.66981468729999,
        4.66983473730717,
        4.669854787314348,
        4.669874837321527,
        4.669894887328706,
        4.669914937335886,
        4.669934987343065,
        4.669955037350244,
        4.6699750873574235,
        4.669995137364602,
        4.670015187371781,
        4.67003523737896,
        4.6700552873861385,
        4.670075337393318,
        4.670095387400498,
        4.670115437407677,
        4.670135487414856,
        4.670155537422034,
        4.670175587429214,
        4.670195637436393,
        4.670215687443572,
        4.670235737450752,
        4.67025578745793,
        4.67027583746511,
        4.670295887472289,
        4.670315937479468,
        4.670335987486647,
        4.670356037493826,
        4.670376087501006,
        4.670396137508185,
        4.670416187515364,
        4.6704362375225426,
        4.6704562875297215,
        4.6704763375369005,
        4.67049638754408,
        4.670516437551259,
        4.670536487558438,
        4.670556537565618,
        4.670576587572796,
        4.670596637579975,
        4.670616687587154,
        4.670636737594334,
        4.670656787601513,
        4.670676837608692,
        4.670696887615872,
        4.670716937623051,
        4.670736987630229,
        4.670757037637409,
        4.670777087644588,
        4.670797137651767,
        4.670817187658947,
        4.670837237666125,
        4.6708572876733045,
        4.670877337680483,
        4.6708973876876625,
        4.670917437694842,
        4.67093748770202,
        4.6709575377092,
        4.670977587716378,
        4.670997637723557,
        4.671017687730737,
        4.671037737737916,
        4.671057787745096,
        4.671077837752275,
        4.671097887759454,
        4.671117937766633,
        4.671137987773811,
        4.671158037780991,
        4.671178087788171,
        4.671198137795349,
        4.671218187802529,
        4.671238237809708,
        4.671258287816887,
        4.671278337824066,
        4.671298387831245,
        4.6713184378384245,
        4.6713384878456035,
        4.671358537852782,
        4.671378587859962,
        4.6713986378671395,
        4.671418687874319,
        4.671438737881499,
        4.671458787888678,
        4.671478837895857,
        4.671498887903036,
        4.671518937910216,
        4.671538987917394,
        4.671559037924573,
        4.671579087931753,
        4.671599137938932,
        4.671619187946111,
        4.671639237953291,
        4.67165928796047,
        4.671679337967648,
        4.671699387974828,
        4.671719437982007,
        4.671739487989186,
        4.671759537996365,
        4.671779588003544,
        4.671799638010724,
        4.6718196880179015,
        4.671839738025081,
        4.67185978803226,
        4.671879838039439,
        4.671899888046619,
        4.671919938053798,
        4.671939988060977,
        4.671960038068155,
        4.671980088075335,
        4.672000138082515,
        4.672020188089693,
        4.672040238096873,
        4.672060288104053,
        4.672080338111231,
        4.67210038811841,
        4.672120438125589,
        4.672140488132768,
        4.672340988204559,
        4.672361038211739,
        4.672381088218917,
        4.672401138226097,
        4.672421188233276,
        4.672441238240455,
        4.672461288247635,
        4.672481338254813,
        4.672501388261992,
        4.672521438269172,
        4.672541488276351,
        4.67256153828353,
        4.672581588290709,
        4.6726016382978885,
        4.6726216883050675,
        4.672641738312246,
        4.6726617883194255,
        4.672681838326604,
        4.672701888333783,
        4.672721938340963,
        4.672741988348142,
        4.672762038355321,
        4.6727820883625,
        4.672802138369679,
        4.672822188376858,
        4.672842238384037,
        4.672862288391217,
        4.672882338398396,
        4.672902388405575,
        4.672922438412754,
        4.672942488419933,
        4.672962538427112,
        4.672982588434292,
        4.673002638441471,
        4.67302268844865,
        4.6730427384558295,
        4.673062788463008,
        4.673082838470187,
        4.6731028884773655,
        4.673122938484545,
        4.673142988491725,
        4.673163038498903,
        4.673183088506083,
        4.673203138513261,
        4.67322318852044,
        4.67324323852762,
        4.673263288534799,
        4.673283338541979,
        4.673303388549158,
        4.673323438556337,
        4.673343488563516,
        4.673363538570694,
        4.673383588577874,
        4.673403638585054,
        4.673423688592232,
        4.673443738599412,
        4.673463788606591,
        4.67348383861377,
        4.673503888620949,
        4.6735239386281275,
        4.673543988635307,
        4.6735640386424855,
        4.673584088649665,
        4.673604138656845,
        4.673624188664022,
        4.673644238671202,
        4.673664288678382,
        4.673684338685561,
        4.67370438869274,
        4.673724438699919,
        4.673744488707099,
        4.673764538714277,
        4.673784588721456,
        4.673804638728636,
        4.673824688735814,
        4.673844738742994,
        4.673864788750174,
        4.673884838757353,
        4.673904888764531,
        4.673924938771711,
        4.6739449887788895,
        4.6739650387860685,
        4.6739850887932475,
        4.674005138800427,
        4.674025188807606,
        4.674045238814784,
        4.674065288821964,
        4.674085338829143,
        4.674105388836322,
        4.674125438843502,
        4.674145488850681,
        4.674165538857859,
        4.674185588865038,
        4.674726939058875,
        4.674746989066055,
        4.674767039073233,
        4.674787089080413,
        4.674807139087592,
        4.6748271890947715,
        4.67484723910195,
        4.6748672891091285,
        4.674887339116308,
        4.674907389123487,
        4.674927439130666,
        4.674947489137846,
        4.674967539145025,
        4.674987589152204,
        4.675007639159383,
        4.675027689166562,
        4.675047739173741,
        4.67506778918092,
        4.6750878391881,
        4.675107889195279,
        4.675127939202458,
        4.675147989209637,
        4.675168039216816,
        4.675188089223995,
        4.675208139231175,
        4.675228189238354,
        4.675248239245533,
        4.675268289252712,
        4.6752883392598905,
        4.6753083892670695,
        4.6753284392742485,
        4.675348489281428,
        4.675368539288608,
        4.675388589295786,
        4.675408639302966,
        4.675428689310144,
        4.675448739317323,
        4.675468789324503,
        4.675488839331682,
        4.675508889338861,
        4.675528939346041,
        4.67554898935322,
        4.675569039360399,
        4.675589089367577,
        4.675609139374757,
        4.675629189381937,
        4.675649239389115,
        4.675669289396295,
        4.6756893394034735,
        4.675709389410652,
        4.6757294394178315,
        4.6757494894250105,
        4.67576953943219,
        4.675789589439368,
        4.675809639446548,
        4.675829689453727,
        4.675849739460905,
        4.675869789468085,
        4.675889839475265,
        4.675909889482444,
        4.675929939489623,
        4.675949989496802,
        4.675970039503981,
        4.67599008951116,
        4.676010139518339,
        4.676030189525519,
        4.676050239532697,
        4.676070289539877,
        4.6760903395470566,
        4.676110389554235,
        4.676130439561414,
        4.6761504895685935,
        4.6761705395757724,
        4.676190589582951,
        4.67621063959013,
        4.67623068959731,
        4.676250739604488,
        4.676270789611667,
        4.676290839618847,
        4.676310889626026,
        4.676330939633205,
        4.676350989640385,
        4.676371039647564,
        4.676391089654742,
        4.676411139661921,
        4.676431189669101,
        4.67645123967628,
        4.676471289683459,
        4.676491339690639,
        4.6765113896978185,
        4.676531439704996,
        4.676551489712176,
        4.676571539719355,
        4.6765915897265335,
        4.676611639733713,
        4.676631689740892,
        4.676651739748071,
        4.676671789755249,
        4.676691839762429,
        4.676711889769609,
        4.676731939776787,
        4.676751989783967,
        4.676772039791147,
        4.676792089798325,
        4.676812139805504,
        4.676832189812683,
        4.676852239819863,
        4.676872289827042,
        4.676892339834221,
        4.676912389841401,
        4.676932439848579,
        4.676952489855758,
        4.676972539862938,
        4.676992589870116,
        4.6770126398772955,
        4.6770326898844745,
        4.677052739891654,
        4.677072789898833,
        4.677092839906011,
        4.677112889913191,
        4.67713293992037,
        4.677152989927549,
        4.677173039934729,
        4.677193089941907,
        4.677213139949087,
        4.677233189956266,
        4.677253239963445,
        4.677273289970624,
        4.677293339977803,
        4.677313389984983,
        4.677333439992162,
        4.67735348999934,
        4.67737354000652,
        4.677393590013698,
        4.677413640020878,
        4.6774336900280575,
        4.6774537400352365,
        4.6774737900424155,
        4.6774938400495945,
        4.677513890056773,
        4.677533940063952,
        4.677553990071131,
        4.677574040078311,
        4.677594090085491,
        4.677614140092669,
        4.677634190099848,
        4.677654240107027,
        4.677674290114206,
        4.677694340121386,
        4.677714390128565,
        4.677734440135744,
        4.677754490142924,
        4.677774540150102,
        4.677794590157282,
        4.67781464016446,
        4.67783469017164,
        4.6778547401788195,
        4.677874790185998,
        4.6778948401931775,
        4.677914890200356,
        4.6779349402075345,
        4.677954990214714,
        4.677975040221893,
        4.677995090229073,
        4.678015140236251,
        4.678035190243431,
        4.67805524025061,
        4.678075290257788,
        4.678095340264968,
        4.678115390272148,
        4.678135440279326,
        4.678155490286506,
        4.678175540293685,
        4.678195590300864,
        4.678215640308043,
        4.678235690315222,
        4.678255740322402,
        4.67827579032958,
        4.67829584033676,
        4.6783158903439395,
        4.678335940351117,
        4.6783559903582965,
        4.6783760403654755,
        4.678396090372655,
        4.678416140379834,
        4.678436190387013,
        4.678456240394193,
        4.678476290401371,
        4.67849634040855,
        4.67851639041573,
        4.678536440422909,
        4.678556490430088,
        4.678576540437268,
        4.678596590444447,
        4.678616640451625,
        4.678636690458804,
        4.678656740465984,
        4.678676790473163,
        4.678696840480342,
        4.678716890487522,
        4.6787369404947015,
        4.678756990501879,
        4.6787770405090585,
        4.6787970905162375,
        4.6788171405234165,
        4.678837190530596,
        4.678857240537775,
        4.678877290544954,
        4.678897340552132,
        4.678917390559312,
        4.678937440566492,
        4.67895749057367,
        4.67897754058085,
        4.678997590588029,
        4.679017640595208,
        4.679037690602387,
        4.679057740609566,
        4.679298340695715,
        4.679318390702894,
        4.679338440710074,
        4.679358490717253,
        4.679378540724432,
        4.679398590731612,
        4.67941864073879,
        4.679438690745969,
        4.679458740753149,
        4.679478790760328,
        4.679498840767507,
        4.679518890774686,
        4.679538940781866,
        4.679558990789045,
        4.679579040796223,
        4.679599090803403,
        4.679619140810581,
        4.679639190817761,
        4.6796592408249404,
        4.679679290832119,
        4.679699340839298,
        4.679719390846477,
        4.679739440853656,
        4.679759490860835,
        4.679779540868014,
        4.679799590875194,
        4.679819640882373,
        4.679839690889552,
        4.679859740896731,
        4.67987979090391,
        4.679899840911089,
        4.679919890918269,
        4.679939940925448,
        4.679959990932627,
        4.679980040939807,
        4.680000090946985,
        4.680020140954164,
        4.680040190961343,
        4.680060240968523,
        4.680080290975702,
        4.6801003409828805,
        4.68012039099006,
        4.6801404409972385,
        4.6801604910044174,
        4.680180541011597,
        4.680200591018776,
        4.680220641025956,
        4.680240691033134,
        4.680260741040314,
        4.680280791047493,
        4.680300841054671,
        4.680320891061851,
        4.680340941069031,
        4.680360991076209,
        4.680381041083389,
        4.680401091090568,
        4.680421141097747,
        4.680441191104926,
        4.680461241112105,
        4.680481291119285,
        4.680501341126463,
        4.6805213911336425,
        4.680541441140822,
        4.680561491148,
        4.680581541155179,
        4.680601591162358,
        4.680621641169538,
        4.680641691176717,
        4.680661741183896,
        4.680681791191075,
        4.680701841198254,
        4.680721891205433,
        4.680741941212613,
        4.680761991219791,
        4.680782041226971,
        4.680802091234151,
        4.680822141241329,
        4.680842191248508,
        4.680862241255687,
        4.680882291262867,
        4.680902341270046,
        4.680922391277225,
        4.6809424412844045,
        4.680962491291583,
        4.680982541298762,
        4.681002591305941,
        4.68102264131312,
        4.681042691320299,
        4.681062741327479,
        4.681082791334658,
        4.681102841341836,
        4.681122891349015,
        4.681142941356195,
        4.681162991363375,
        4.681183041370553,
        4.681203091377733,
        4.681223141384912,
        4.68124319139209,
        4.68126324139927,
        4.681283291406449,
        4.681303341413628,
        4.681323391420808,
        4.681343441427987,
        4.681764491578749,
        4.681784541585928,
        4.681804591593106,
        4.6818246416002856,
        4.681844691607464,
        4.6818647416146435,
        4.681884791621823,
        4.681904841629002,
        4.681924891636181,
        4.68194494164336,
        4.681964991650539,
        4.681985041657718,
        4.682005091664897,
        4.682025141672077,
        4.682045191679256,
        4.682065241686435,
        4.682085291693614,
        4.682105341700793,
        4.682125391707972,
        4.682145441715152,
        4.682165491722331,
        4.68218554172951,
        4.68220559173669,
        4.682225641743868,
        4.682245691751047,
        4.682265741758226,
        4.6822857917654055,
        4.682305841772585,
        4.682325891779763,
        4.682345941786942,
        4.682365991794121,
        4.6823860418013,
        4.68240609180848,
        4.682426141815659,
        4.682446191822838,
        4.682466241830017,
        4.682486291837196,
        4.682506341844376,
        4.682526391851554,
        4.682546441858734,
        4.682566491865914,
        4.682586541873092,
        4.682606591880272,
        4.68262664188745,
        4.682646691894629,
        4.682666741901809,
        4.682686791908988,
        4.6827068419161675,
        4.682726891923346,
        4.682746941930525,
        4.682766991937704,
        4.6827870419448825,
        4.682907341987958,
        4.682927391995137,
        4.682947442002316,
        4.682967492009496,
        4.682987542016674,
        4.683007592023854,
        4.683027642031034,
        4.683047692038212,
        4.683067742045391,
        4.68308779205257,
        4.68310784205975,
        4.683127892066929,
        4.683147942074108,
        4.683167992081287,
        4.683188042088465,
        4.6832080920956445,
        4.683228142102824,
        4.683248192110003,
        4.683268242117182,
        4.683288292124362,
        4.683308342131541,
        4.683328392138719,
        4.683348442145898,
        4.683368492153078,
        4.683388542160257,
        4.683408592167436,
        4.683428642174616,
        4.683448692181795,
        4.683468742188973,
        4.683488792196153,
        4.683508842203332,
        4.683528892210511,
        4.683548942217691,
        4.6835689922248696,
        4.683589042232049,
        4.683609092239227,
        4.6836291422464065,
        4.683649192253586,
        4.683669242260764,
        4.683689292267944,
        4.683709342275123,
        4.683729392282302,
        4.683749442289481,
        4.68376949229666,
        4.68378954230384,
        4.683809592311018,
        4.683829642318198,
        4.683849692325378,
        4.683869742332555,
        4.683889792339735,
        4.683909842346915,
        4.683929892354093,
        4.683949942361273,
        4.683969992368452,
        4.6839900423756315,
        4.68401009238281,
        4.684030142389989,
        4.6840501923971685,
        4.6840702424043466,
        4.684090292411526,
        4.684110342418706,
        4.684130392425884,
        4.684150442433063,
        4.684170492440243,
        4.684190542447422,
        4.684210592454601,
        4.68423064246178,
        4.68425069246896,
        4.684270742476139,
        4.684290792483317,
        4.684310842490497,
        4.684330892497675,
        4.684350942504855,
        4.684370992512035,
        4.684391042519214,
        4.684411092526393,
        4.684431142533571,
        4.684451192540751,
        4.68447124254793,
        4.6844912925551085,
        4.684511342562288,
        4.684531392569468,
        4.684551442576646,
        4.684571492583825,
        4.684591542591004,
        4.684611592598183,
        4.684631642605363,
        4.684651692612542,
        4.684671742619721,
        4.6846917926269,
        4.684711842634079,
        4.684731892641259,
        4.684751942648437,
        4.684771992655617,
        4.684792042662797,
        4.684812092669975,
        4.684832142677155,
        4.684852192684333,
        4.684872242691512,
        4.684892292698692,
        4.6849123427058705,
        4.68493239271305,
        4.6849524427202285,
        4.684972492727408,
        4.684992542734587,
        4.685012592741765,
        4.685032642748945,
        4.685052692756124,
        4.685072742763303,
        4.685092792770483,
        4.685112842777662,
        4.685132892784841,
        4.68515294279202,
        4.685172992799199,
        4.685193042806379,
        4.685213092813557,
        4.685233142820737,
        4.685253192827917,
        4.685273242835094,
        4.685293292842274,
        4.685313342849453,
        4.6853333928566325,
        4.6853534428638115,
        4.6853734928709905,
        4.68539354287817,
        4.6854135928853475,
        4.685433642892527,
        4.685453692899707,
        4.685473742906886,
        4.685493792914065,
        4.685513842921245,
        4.685533892928423,
        4.685553942935602,
        4.685573992942781,
        4.685594042949961,
        4.68561409295714,
        4.685634142964319,
        4.685654192971499,
        4.685674242978677,
        4.685694292985856,
        4.685714342993036,
        4.685734393000215,
        4.685754443007394,
        4.6857744930145735,
        4.6857945430217525,
        4.6858145930289306,
        4.6858346430361095,
        4.685854693043289,
        4.685874743050469,
        4.685894793057647,
        4.685914843064827,
        4.685934893072006,
        4.685954943079184,
        4.685974993086364,
        4.685995043093543,
        4.686015093100722,
        4.686035143107901,
        4.686055193115081,
        4.686075243122261,
        4.686095293129438,
        4.686115343136618,
        4.686135393143798,
        4.686155443150976,
        4.686175493158156,
        4.686195543165335,
        4.6862155931725145,
        4.6862356431796925,
        4.6862556931868715,
        4.686275743194051,
        4.6862957932012295,
        4.686315843208409,
        4.686335893215589,
        4.686355943222767,
        4.686375993229946,
        4.686396043237126,
        4.686416093244305,
        4.686436143251484,
        4.686456193258663,
        4.686476243265843,
        4.686496293273022,
        4.6865163432802,
        4.68653639328738,
        4.686556443294558,
        4.686576493301738,
        4.686596543308918,
        4.686616593316097,
        4.686636643323276,
        4.686656693330454,
        4.6866767433376335,
        4.6866967933448125,
        4.6867168433519915,
        4.686736893359171,
        4.68675694336635,
        4.686776993373529,
        4.686797043380708,
        4.686817093387887,
        4.686837143395066,
        4.686857193402246,
        4.686877243409425,
        4.686897293416604,
        4.686917343423783,
        4.686937393430962,
        4.686957443438141,
        4.68697749344532,
        4.6869975434525,
        4.68701759345968,
        4.687037643466858,
        4.687057693474038,
        4.687077743481216,
        4.687097793488395,
        4.6871178434955745,
        4.6871378935027534,
        4.687157943509933,
        4.687177993517111,
        4.68719804352429,
        4.68721809353147,
        4.687238143538648,
        4.687258193545828,
        4.687278243553007,
        4.687298293560186,
        4.687318343567366,
        4.687338393574544,
        4.687358443581724,
        4.687378493588903,
        4.687398543596082,
        4.687418593603262,
        4.68743864361044,
        4.68745869361762,
        4.687478743624799,
        4.687498793631977,
        4.687518843639157,
        4.687538893646336,
        4.687558943653515,
        4.687578993660694,
        4.687599043667873,
        4.687619093675052,
        4.6876391436822304,
        4.68765919368941,
        4.68767924369659,
        4.687699293703768,
        4.687719343710948,
        4.687739393718128,
        4.687759443725306,
        4.687779493732485,
        4.687799543739664,
        4.687819593746844,
        4.687839643754023,
        4.687859693761202,
        4.687879743768382,
        4.68789979377556,
        4.687919843782739,
        4.687939893789919,
        4.687959943797098,
        4.6879799938042765,
        4.688000043811456,
        4.688020093818635,
        4.6880401438258135,
        4.688060193832992,
        4.688080243840172,
        4.688220593890426,
        4.688240643897605,
        4.688260693904784,
        4.688280743911964,
        4.688300793919144,
        4.688320843926321,
        4.688340893933501,
        4.688360943940681,
        4.688380993947859,
        4.6884010439550385,
        4.6884210939622175,
        4.6884411439693965,
        4.6884611939765755,
        4.688481243983754,
        4.688501293990934,
        4.688521343998112,
        4.688541394005292,
        4.688561444012472,
        4.68858149401965,
        4.688601544026829,
        4.688621594034008,
        4.688641644041187,
        4.688661694048367,
        4.688681744055546,
        4.688701794062726,
        4.688721844069905,
        4.688741894077083,
        4.688761944084263,
        4.688781994091441,
        4.688802044098621,
        4.6888220941058005,
        4.6888421441129795,
        4.688862194120158,
        4.688882244127337,
        4.688902294134516,
        4.688922344141695,
        4.688942394148874,
        4.688962444156054,
        4.688982494163233,
        4.689002544170411,
        4.689022594177591,
        4.68904264418477,
        4.689062694191949,
        4.689082744199129,
        4.689102794206308,
        4.689122844213487,
        4.689142894220665,
        4.689162944227845,
        4.689182994235024,
        4.689203044242203,
        4.689223094249383,
        4.689243144256562,
        4.689263194263741,
        4.68928324427092,
        4.6893032942780986,
        4.6893233442852775,
        4.689343394292457,
        4.689363444299636,
        4.689383494306815,
        4.689403544313994,
        4.689423594321173,
        4.689443644328353,
        4.689463694335531,
        4.689483744342711,
        4.68950379434989,
        4.689523844357069,
        4.689543894364249,
        4.689563944371427,
        4.689583994378607,
        4.689604044385786,
        4.689624094392965,
        4.689644144400145,
        4.689664194407323,
        4.689684244414503,
        4.689704294421682,
        4.68972434442886,
        4.6897443944360395,
        4.6897644444432185,
        4.689784494450398,
        4.689804544457577,
        4.689824594464756,
        4.689844644471935,
        4.689864694479113,
        4.689884744486293,
        4.689904794493473,
        4.689924844500651,
        4.689944894507831,
        4.689964944515011,
        4.689984994522189,
        4.690005044529368,
        4.690025094536547,
        4.690045144543727,
        4.690065194550906,
        4.690085244558085,
        4.690105294565265,
        4.690125344572442,
        4.690145394579622,
        4.6901654445868015,
        4.6901854945939805,
        4.6902055446011595,
        4.690225594608339,
        4.690245644615518,
        4.690265694622696,
        4.690285744629875,
        4.690305794637055,
        4.690325844644234,
        4.690345894651413,
        4.690365944658593,
        4.690385994665772,
        4.69040604467295,
        4.69042609468013,
        4.690446144687309,
        4.690466194694488,
        4.690486244701667,
        4.690506294708847,
        4.690526344716026,
        4.690546394723204,
        4.690566444730384,
        4.6905864947375635,
        4.690606544744742,
        4.6906265947519215,
        4.6906466447591,
        4.6906666947662785,
        4.690686744773458,
        4.690706794780637,
        4.690726844787817,
        4.690746894794995,
        4.690766944802175,
        4.690786994809355,
        4.690807044816532,
        4.690827094823712,
        4.690847144830891,
        4.69086719483807,
        4.69088724484525,
        4.690907294852429,
        4.690927344859609,
        4.690947394866787,
        4.690967444873966,
        4.690987494881146,
        4.691007544888324,
        4.691027594895504,
        4.6910476449026834,
        4.6910676949098615,
        4.6910877449170405,
        4.6911077949242195,
        4.691127844931399,
        4.691147894938578,
        4.691167944945757,
        4.691187994952937,
        4.691208044960116,
        4.691228094967294,
        4.691248144974474,
        4.691268194981652,
        4.691288244988832,
        4.691308294996012,
        4.691328345003191,
        4.69134839501037,
        4.691368445017548,
        4.6915288450749815,
        4.69154889508216,
        4.69156894508934,
        4.691588995096519,
        4.691609045103698,
        4.691629095110877,
        4.691649145118056,
        4.691669195125236,
        4.691689245132414,
        4.691709295139594,
        4.691729345146773,
        4.691749395153952,
        4.691769445161132,
        4.69178949516831,
        4.691809545175489,
        4.691829595182669,
        4.691849645189848,
        4.691869695197028,
        4.691889745204206,
        4.6919097952113855,
        4.6919298452185645,
        4.691949895225743,
        4.691969945232922,
        4.691989995240101,
        4.69201004524728,
        4.69203009525446,
        4.692050145261639,
        4.692070195268818,
        4.692090245275996,
        4.692110295283176,
        4.692130345290356,
        4.692150395297534,
        4.692170445304714,
        4.692190495311893,
        4.692210545319072,
        4.692230595326251,
        4.69225064533343,
        4.69227069534061,
        4.692290745347789,
        4.692310795354968,
        4.692330845362147,
        4.692350895369325,
        4.692370945376505,
        4.692390995383684,
        4.692411045390863,
        4.692431095398042,
        4.692451145405222,
        4.6924711954124,
        4.692491245419579,
        4.692511295426758,
        4.692531345433938,
        4.692551395441117,
        4.692571445448296,
        4.692591495455476,
        4.692611545462654,
        4.692631595469833,
        4.692651645477013,
        4.692671695484192,
        4.692691745491371,
        4.69271179549855,
        4.69273184550573,
        4.692751895512908,
        4.692771945520087,
        4.692791995527267,
        4.692812045534446,
        4.6928320955416245,
        4.692852145548804,
        4.692872195555983,
        4.692892245563161,
        4.692912295570341,
        4.69293234557752,
        4.692952395584699,
        4.692972445591878,
        4.692992495599058,
        4.693012545606238,
        4.693032595613415,
        4.693052645620595,
        4.693072695627774,
        4.693092745634953,
        4.693112795642133,
        4.693132845649312,
        4.693152895656492,
        4.69317294566367,
        4.693192995670849,
        4.6932130456780285,
        4.693233095685207,
        4.6932531456923865,
        4.693273195699566,
        4.693293245706744,
        4.693313295713923,
        4.693333345721102,
        4.693353395728282,
        4.693373445735461,
        4.69339349574264,
        4.69341354574982,
        4.693433595756999,
        4.693453645764177,
        4.693473695771357,
        4.693493745778535,
        4.693513795785715,
        4.693533845792895,
        4.693553895800074,
        4.693573945807253,
        4.693593995814431,
        4.693614045821611,
        4.69363409582879,
        4.693654145835969,
        4.6936741958431485,
        4.693694245850327,
        4.693714295857506,
        4.693734345864685,
        4.693754395871864,
        4.693774445879043,
        4.693794495886223,
        4.693814545893402,
        4.693834595900581,
        4.693854645907759,
        4.693874695914939,
        4.693894745922119,
        4.693914795929297,
        4.693934845936477,
        4.693954895943656,
        4.693974945950835,
        4.693994995958014,
        4.694015045965193,
        4.694035095972372,
        4.694055145979551,
        4.694075195986731,
        4.6940952459939105,
        4.694115296001089,
        4.6941353460082675,
        4.694155396015447,
        4.6941754460226255,
        4.694195496029805,
        4.694215546036984,
        4.694235596044163,
        4.694255646051343,
        4.694275696058521,
        4.694295746065701,
        4.694315796072879,
        4.694335846080059,
        4.694355896087239,
        4.694375946094417,
        4.694395996101597,
        4.694416046108776,
        4.694436096115954,
        4.694456146123134,
        4.694476196130313,
        4.694496246137493,
        4.694516296144672,
        4.694536346151851,
        4.6945563961590295,
        4.694576446166208,
        4.6945964961733875,
        4.694616546180567,
        4.694636596187745,
        4.694656646194925,
        4.694676696202104,
        4.694696746209283,
        4.694716796216462,
        4.694736846223641,
        4.694756896230821,
        4.694776946238,
        4.694796996245179,
        4.694817046252359,
        4.694837096259537,
        4.694857146266716,
        4.694877196273896,
        4.694897246281075,
        4.694917296288254,
        4.694937346295433,
        4.6949573963026126,
        4.694977446309791,
        4.69499749631697,
        4.6950175463241495,
        4.695037596331329,
        4.695057646338507,
        4.695077696345687,
        4.695097746352866,
        4.695117796360044,
        4.695137846367224,
        4.695157896374403,
        4.695177946381582,
        4.695197996388761,
        4.695218046395941,
        4.695238096403121,
        4.695258146410298,
        4.695278196417478,
        4.695298246424657,
        4.695318296431836,
        4.695338346439016,
        4.695358396446195,
        4.695378446453374,
        4.695398496460553,
        4.695418546467732,
        4.6954385964749115,
        4.6954586464820895,
        4.695478696489269,
        4.695498746496449,
        4.6955187965036265,
        4.695538846510806,
        4.695558896517985,
        4.695578946525164,
        4.695598996532344,
        4.695619046539523,
        4.695639096546703,
        4.69565914655388,
        4.69567919656106,
        4.69569924656824,
        4.695719296575418,
        4.695739346582598,
        4.695759396589778,
        4.695779446596957,
        4.695799496604135,
        4.695819546611314,
        4.695839596618494,
        4.695859646625673,
        4.6958796966328515,
        4.695899746640031,
        4.6959197966472095,
        4.6959398466543885,
        4.695959896661568,
        4.695979946668747,
        4.695999996675926,
        4.696020046683106,
        4.696040096690285,
        4.696060146697464,
        4.696080196704642,
        4.696100246711822,
        4.696120296719001,
        4.69614034672618,
        4.69616039673336,
        4.696180446740539,
        4.696200496747718,
        4.696220546754897,
        4.696240596762076,
        4.696260646769255,
        4.696280696776434,
        4.6963007467836135,
        4.6963207967907925,
        4.6963408467979715,
        4.6963608968051505,
        4.69638094681233,
        4.696400996819508,
        4.696421046826688,
        4.696441096833867,
        4.696461146841046,
        4.696481196848226,
        4.696501246855404,
        4.696521296862584,
        4.696541346869762,
        4.696561396876942,
        4.696581446884122,
        4.6966014968913,
        4.69662154689848,
        4.696641596905659,
        4.696661646912837,
        4.696681696920017,
        4.696701746927196,
        4.6967217969343755,
        4.6967418469415545,
        4.6967618969487335,
        4.6967819469559124,
        4.6968019969630905,
        4.69682204697027,
        4.69684209697745,
        4.696862146984628,
        4.696882196991808,
        4.696902246998987,
        4.696922297006166,
        4.696942347013345,
        4.696962397020524,
        4.696982447027704,
        4.697002497034883,
        4.697022547042062,
        4.697042597049241,
        4.697062647056419,
        4.697082697063599,
        4.697102747070779,
        4.697122797077958,
        4.697142847085137,
        4.697162897092316,
        4.697182947099495,
        4.6972029971066735,
        4.6972230471138525,
        4.697243097121032,
        4.697263147128211,
        4.69728319713539,
        4.69730324714257,
        4.697323297149748,
        4.697343347156927,
        4.697363397164107,
        4.697383447171286,
        4.697403497178465,
        4.697423547185644,
        4.697443597192824,
        4.697463647200003,
        4.697483697207181,
        4.697503747214361,
        4.69752379722154,
        4.697543847228719,
        4.697563897235899,
        4.697583947243078,
        4.697603997250256,
        4.6976240472574355,
        4.6976440972646145,
        4.697664147271794,
        4.6976841972789725,
        4.697704247286152,
        4.697724297293332,
        4.697744347300509,
        4.697764397307689,
        4.697784447314868,
        4.697804497322047,
        4.697824547329227,
        4.697844597336406,
        4.697864647343586,
        4.697884697350763,
        4.697904747357943,
        4.697924797365123,
        4.697944847372301,
        4.697964897379481,
        4.697984947386661,
        4.698004997393839,
        4.698025047401018,
        4.698045097408197,
        4.6980651474153765,
        4.6980851974225555,
        4.6981052474297345,
        4.698125297436914,
        4.698145347444092,
        4.698165397451271,
        4.698185447458451,
        4.69820549746563,
        4.698225547472809,
        4.698245597479989,
        4.698265647487168,
        4.698285697494347,
        4.698305747501525,
        4.698325797508705,
        4.698345847515884,
        4.698365897523063,
        4.698385947530243,
        4.698405997537422,
        4.698426047544601,
        4.69844609755178,
        4.698466147558959,
        4.698486197566138,
        4.698506247573317,
        4.6985262975804964,
        4.698546347587675,
        4.698566397594854,
        4.698586447602033,
        4.698606497609213,
        4.698626547616391,
        4.698646597623571,
        4.69866664763075,
        4.698686697637929,
        4.698706747645108,
        4.698726797652287,
        4.698746847659466,
        4.698766897666645,
        4.698786947673825,
        4.698806997681005,
        4.698827047688183,
        4.698847097695362,
        4.698867147702541,
        4.69888719770972,
        4.6989072477169,
        4.698927297724079,
        4.6989473477312576,
        4.698967397738437,
        4.6989874477456155,
        4.699007497752795,
        4.6990275477599734,
        4.699047597767153,
        4.699067647774333,
        4.699087697781511,
        4.699107747788691,
        4.699127797795869,
        4.699147847803049,
        4.699167897810228,
        4.699187947817407,
        4.699207997824587,
        4.699228047831766,
        4.699248097838945,
        4.699268147846124,
        4.699288197853302,
        4.699308247860482,
        4.699328297867662,
        4.699348347874841,
        4.6993683978820195,
        4.6993884478891985,
        4.6994084978963775,
        4.6994285479035565,
        4.699448597910735,
        4.699468647917915,
        4.699488697925093,
        4.699508747932273,
        4.699528797939453,
        4.699548847946631,
        4.69956889795381,
        4.69958894796099,
        4.699608997968169,
        4.699629047975348,
        4.699649097982527,
        4.699669147989707,
        4.699689197996885,
        4.699709248004064,
        4.699729298011244,
        4.699749348018423,
        4.699769398025602,
        4.6997894480327815,
        4.6998094980399605,
        4.699829548047139,
        4.6998495980543185,
        4.699869648061497,
        4.699889698068677,
        4.699909748075855,
        4.699929798083035,
        4.699949848090215,
        4.699969898097392,
        4.699989948104572,
        4.700009998111751,
        4.70003004811893,
        4.70005009812611,
        4.700250598197901,
        4.70027064820508,
        4.700290698212259,
        4.700310748219438,
        4.700330798226617,
        4.700350848233797,
        4.700370898240974,
        4.700390948248154,
        4.700410998255334,
        4.700431048262512,
        4.700451098269692,
        4.700471148276872,
        4.700491198284051,
        4.700511248291229,
        4.700531298298408,
        4.700551348305588,
        4.700571398312767,
        4.700591448319946,
        4.700611498327126,
        4.700631548334304,
        4.700651598341483,
        4.700671648348663,
        4.7006916983558416,
        4.7007117483630205,
        4.7007317983701995,
        4.700751848377379,
        4.700771898384558,
        4.700791948391736,
        4.700811998398916,
        4.700832048406096,
        4.700852098413274,
        4.700872148420454,
        4.700892198427633,
        4.700912248434812,
        4.700932298441991,
        4.70095234844917,
        4.700972398456349,
        4.700992448463528,
        4.701012498470708,
        4.701032548477888,
        4.701052598485066,
        4.701072648492245,
        4.701092698499424,
        4.701112748506603,
        4.7011327985137825,
        4.7011528485209615,
        4.7011728985281405,
        4.70119294853532,
        4.701212998542498,
        4.701233048549678,
        4.701253098556856,
        4.701273148564036,
        4.701293198571216,
        4.701313248578394,
        4.701333298585574,
        4.701353348592752,
        4.701373398599931,
        4.701393448607111,
        4.70141349861429,
        4.70143354862147,
        4.701453598628649,
        4.701473648635828,
        4.701493698643007,
        4.701513748650185,
        4.701533798657365,
        4.7015538486645445,
        4.701573898671723,
        4.7015939486789025,
        4.701613998686081,
        4.70163404869326,
        4.701654098700439,
        4.701674148707618,
        4.701694198714798,
        4.701714248721976,
        4.701734298729156,
        4.701754348736336,
        4.701774398743514,
        4.701794448750693,
        4.701814498757873,
        4.701834548765052,
        4.701854598772231,
        4.70187464877941,
        4.701894698786589,
        4.701914748793768,
        4.701934798800947,
        4.701954848808127,
        4.701974898815306,
        4.701994948822485,
        4.7020149988296644,
        4.7020350488368425,
        4.7020550988440215,
        4.702075148851201,
        4.70209519885838,
        4.702115248865559,
        4.702135298872738,
        4.702155348879918,
        4.702175398887097,
        4.702195448894275,
        4.702215498901455,
        4.702235548908634,
        4.702255598915813,
        4.702275648922993,
        4.702295698930172,
        4.70231574893735,
        4.702335798944529,
        4.702536299016321,
        4.7025563490235,
        4.70257639903068,
        4.702596449037857,
        4.702616499045037,
        4.702636549052217,
        4.702656599059395,
        4.702676649066575,
        4.702696699073755,
        4.702716749080934,
        4.702736799088112,
        4.702756849095291,
        4.702776899102471,
        4.70279694910965,
        4.702816999116829,
        4.702837049124009,
        4.702857099131187,
        4.702877149138366,
        4.7028971991455455,
        4.7029172491527245,
        4.702937299159903,
        4.702957349167082,
        4.702977399174262,
        4.702997449181441,
        4.703017499188619,
        4.703037549195799,
        4.703057599202978,
        4.703077649210157,
        4.703097699217337,
        4.703117749224516,
        4.703137799231695,
        4.703157849238874,
        4.703177899246053,
        4.703197949253232,
        4.703217999260411,
        4.703238049267591,
        4.70325809927477,
        4.703278149281949,
        4.703298199289128,
        4.703318249296307,
        4.703338299303486,
        4.703358349310665,
        4.703378399317844,
        4.703398449325023,
        4.703418499332203,
        4.703438549339381,
        4.703458599346561,
        4.703478649353739,
        4.703498699360919,
        4.703518749368099,
        4.703538799375277,
        4.703558849382456,
        4.703578899389635,
        4.703598949396814,
        4.703618999403994,
        4.703639049411173,
        4.703659099418353,
        4.703679149425532,
        4.70369919943271,
        4.70371924943989,
        4.703739299447068,
        4.703759349454248,
        4.703779399461427,
        4.7037994494686055,
        4.703819499475785,
        4.7038395494829635,
        4.703859599490143,
        4.703879649497322,
        4.703899699504501,
        4.703919749511681,
        4.703939799518859,
        4.703959849526039,
        4.703979899533218,
        4.703999949540396,
        4.704019999547576,
        4.704040049554756,
        4.704060099561935,
        4.704080149569114,
        4.704100199576293,
        4.704120249583472,
        4.704140299590651,
        4.70416034959783,
        4.7041803996050096,
        4.7042004496121885,
        4.7042204996193675,
        4.704240549626547,
        4.7042605996337254,
        4.704280649640904,
        4.704300699648083,
        4.704320749655263,
        4.704340799662442,
        4.704360849669621,
        4.704380899676801,
        4.70440094968398,
        4.704420999691158,
        4.704441049698338,
        4.704461099705517,
        4.704481149712696,
        4.704501199719876,
        4.704521249727055,
        4.704541299734233,
        4.704561349741412,
        4.704581399748592,
        4.7046014497557715,
        4.70462149976295,
        4.7046415497701295,
        4.704661599777309,
        4.7046816497844866,
        4.704701699791666,
        4.704721749798845,
        4.704741799806024,
        4.704761849813204,
        4.704781899820383,
        4.704801949827563,
        4.70482199983474,
        4.70484204984192,
        4.7048620998491,
        4.704882149856278,
        4.704902199863458,
        4.704922249870637,
        4.704942299877816,
        4.704962349884995,
        4.704982399892174,
        4.705002449899354,
        4.705022499906533,
        4.705042549913712,
        4.7050625999208915,
        4.70508264992807,
        4.7051026999352485,
        4.705122749942428,
        4.705142799949607,
        4.705162849956786,
        4.705182899963965,
        4.705202949971145,
        4.705222999978323,
        4.705243049985502,
        4.705263099992682,
        4.705283149999861,
        4.70530320000704,
        4.70532325001422,
        4.705343300021399,
        4.705363350028577,
        4.705383400035757,
        4.705403450042936,
        4.705423500050115,
        4.705443550057294,
        4.705463600064474,
        4.705483650071653,
        4.705503700078831,
        4.7055237500860105,
        4.7055438000931895,
        4.7055638501003685,
        4.705583900107548,
        4.705603950114727,
        4.705624000121906,
        4.705644050129085,
        4.705664100136264,
        4.705684150143443,
        4.705704200150622,
        4.705724250157802,
        4.705744300164982,
        4.70576435017216,
        4.705784400179339,
        4.705804450186518,
        4.705824500193697,
        4.705844550200877,
        4.705864600208056,
        4.705884650215235,
        4.705904700222415,
        4.705924750229593,
        4.7059448002367725,
        4.705964850243951,
        4.7059849002511305,
        4.70600495025831,
        4.706025000265488,
        4.706045050272668,
        4.706065100279846,
        4.706085150287026,
        4.706105200294205,
        4.706125250301384,
        4.706145300308564,
        4.706165350315742,
        4.706185400322922,
        4.706205450330101,
        4.706225500337279,
        4.706245550344459,
        4.706265600351639,
        4.706385900394713,
        4.7064059504018925,
        4.7064260004090706,
        4.70644605041625,
        4.70646610042343,
        4.706486150430608,
        4.706506200437787,
        4.706526250444966,
        4.706546300452146,
        4.706566350459325,
        4.706586400466504,
        4.706606450473684,
        4.706626500480862,
        4.706646550488041,
        4.706666600495221,
        4.7066866505024,
        4.706706700509579,
        4.706726750516759,
        4.706746800523938,
        4.706766850531116,
        4.706786900538295,
        4.706806950545475,
        4.7068270005526545,
        4.7068470505598325,
        4.706867100567012,
        4.706887150574191,
        4.7069072005813695,
        4.706927250588549,
        4.706947300595728,
        4.706967350602907,
        4.706987400610087,
        4.707007450617266,
        4.707027500624445,
        4.707047550631623,
        4.707067600638803,
        4.707087650645983,
        4.707107700653161,
        4.707127750660341,
        4.70714780066752,
        4.707167850674698,
        4.707187900681878,
        4.707207950689057,
        4.707228000696237,
        4.707248050703416,
        4.7072681007105945,
        4.707288150717774,
        4.707308200724952,
        4.7073282507321315,
        4.707348300739311,
        4.707368350746489,
        4.707388400753669,
        4.707408450760848,
        4.707428500768028,
        4.707448550775206,
        4.707468600782385,
        4.707488650789565,
        4.707508700796744,
        4.707528750803923,
        4.707548800811103,
        4.707568850818281,
        4.70758890082546,
        4.70760895083264,
        4.707629000839819,
        4.707649050846998,
        4.707669100854177,
        4.7076891508613565,
        4.7077092008685355,
        4.707729250875714,
        4.7077493008828935,
        4.707769350890072,
        4.707789400897251,
        4.707809450904431,
        4.70782950091161,
        4.707849550918789,
        4.707869600925968,
        4.707889650933147,
        4.707909700940326,
        4.707929750947505,
        4.707949800954685,
        4.707969850961865,
        4.707989900969043,
        4.708009950976222,
        4.708030000983401,
        4.70805005099058,
        4.70807010099776,
        4.708090151004939,
        4.708110201012118,
        4.7081302510192975,
        4.708150301026476,
        4.708170351033655,
        4.7081904010408335,
        4.708210451048013,
        4.708230501055193,
        4.708250551062371,
        4.708270601069551,
        4.708290651076729,
        4.708310701083908,
        4.708330751091088,
        4.708350801098267,
        4.708370851105447,
        4.708390901112625,
        4.708410951119805,
        4.708431001126984,
        4.708451051134162,
        4.708471101141342,
        4.708491151148522,
        4.708511201155701,
        4.70853125116288,
        4.708551301170058,
        4.708571351177238,
        4.7085914011844165,
        4.7086114511915955,
        4.708631501198775,
        4.7086515512059535,
        4.708671601213133,
        4.708691651220312,
        4.708711701227491,
        4.70873175123467,
        4.708751801241849,
        4.708771851249029,
        4.708791901256208,
        4.708811951263387,
        4.708832001270566,
        4.708852051277745,
        4.709112701371073,
        4.709132751378252,
        4.709152801385432,
        4.709172851392611,
        4.70919290139979,
        4.70921295140697,
        4.709233001414149,
        4.709253051421327,
        4.709273101428506,
        4.709293151435686,
        4.709313201442866,
        4.709333251450044,
        4.709353301457224,
        4.709373351464403,
        4.709393401471581,
        4.709413451478761,
        4.70943350148594,
        4.7094535514931195,
        4.7094736015002985,
        4.7094936515074775,
        4.709513701514657,
        4.7095337515218345,
        4.709553801529014,
        4.709573851536194,
        4.709593901543372,
        4.709613951550552,
        4.709634001557731,
        4.709654051564911,
        4.709674101572089,
        4.709694151579268,
        4.709714201586448,
        4.709734251593626,
        4.709754301600806,
        4.709774351607986,
        4.709794401615164,
        4.709814451622343,
        4.709834501629523,
        4.709854551636702,
        4.709874601643881,
        4.70989465165106,
        4.7099147016582394,
        4.709934751665418,
        4.7099548016725965,
        4.709974851679776,
        4.7099949016869544,
        4.710014951694134,
        4.710035001701314,
        4.710055051708493,
        4.710075101715672,
        4.710095151722851,
        4.71011520173003,
        4.710135251737209,
        4.710155301744388,
        4.710175351751568,
        4.710195401758748,
        4.710215451765925,
        4.710235501773105,
        4.710255551780284,
        4.710275601787463,
        4.710295651794643,
        4.710315701801822,
        4.7103357518090005,
        4.710355801816179,
        4.7103758518233585,
        4.710395901830538,
        4.710415951837716,
        4.710436001844896,
        4.710456051852076,
        4.710476101859254,
        4.710496151866433,
        4.710516201873612,
        4.710536251880791,
        4.710556301887971,
        4.71057635189515,
        4.71059640190233,
        4.710616451909508,
        4.710636501916687,
        4.710656551923867,
        4.710676601931045,
        4.710696651938225,
        4.710716701945405,
        4.710736751952583,
        4.7107568019597625,
        4.710776851966941,
        4.7107969019741205,
        4.7108169519812995,
        4.710837001988478,
        4.710857051995658,
        4.710877102002836,
        4.710897152010016,
        4.710917202017195,
        4.710937252024373,
        4.710957302031553,
        4.710977352038732,
        4.710997402045912,
        4.711017452053091,
        4.71103750206027,
        4.711057552067449,
        4.711077602074628,
        4.711097652081807,
        4.711117702088987,
        4.711137752096166,
        4.711157802103345,
        4.7111778521105245,
        4.711197902117703,
        4.711217952124882,
        4.711238002132061,
        4.71125805213924,
        4.711278102146419,
        4.711298152153598,
        4.711318202160778,
        4.711338252167956,
        4.711358302175135,
        4.711378352182315,
        4.711398402189494,
        4.711418452196673,
        4.711438502203853,
        4.711458552211032,
        4.71147860221821,
        4.711498652225389,
        4.711518702232569,
        4.711538752239749,
        4.711558802246927,
        4.711578852254107,
        4.711598902261285,
        4.711618952268464,
        4.711639002275644,
        4.711659052282823,
        4.7116791022900015,
        4.711699152297181,
        4.71171920230436,
        4.71173925231154,
        4.711759302318717,
        4.711779352325897,
        4.711799402333077,
        4.711819452340255,
        4.711839502347435,
        4.711859552354614,
        4.711879602361792,
        4.711899652368972,
        4.711919702376151,
        4.711939752383331,
        4.711959802390509,
        4.711979852397689,
        4.711999902404869,
        4.712019952412046,
        4.712040002419226,
        4.712060052426406,
        4.7120801024335845,
        4.7121001524407635,
        4.7121202024479425,
        4.712140252455122,
        4.7121603024623,
        4.712180352469479,
        4.712200402476659,
        4.712220452483837,
        4.712240502491017,
        4.712260552498197,
        4.712280602505376,
        4.712300652512554,
        4.712320702519734,
        4.712340752526913,
        4.712360802534092,
        4.712380852541271,
        4.712400902548451,
        4.71242095255563,
        4.712441002562808,
        4.712461052569988,
        4.712481102577167,
        4.712501152584346,
        4.7125212025915255,
        4.7125412525987045,
        4.7125613026058835,
        4.7125813526130615,
        4.712601402620241,
        4.71262145262742,
        4.712641502634599,
        4.712661552641779,
        4.712681602648959,
        4.712701652656137,
        4.712721702663316,
        4.712741752670495,
        4.712761802677674,
        4.712781852684854,
        4.712801902692033,
        4.712821952699213,
        4.712842002706391,
        4.71286205271357,
        4.71288210272075,
        4.712902152727928,
        4.712922202735108,
        4.7129422527422875,
        4.712962302749466,
        4.7129823527566455,
        4.7130024027638235,
        4.713022452771003,
        4.713042502778182,
        4.713062552785361,
        4.713082602792541,
        4.713102652799719,
        4.713122702806899,
        4.713142752814078,
        4.713162802821256,
        4.713182852828436,
        4.713202902835615,
        4.713222952842795,
        4.713243002849974,
        4.713263052857153,
        4.713283102864332,
        4.713303152871511,
        4.71332320287869,
        4.71334325288587,
        4.713363302893048,
        4.713383352900228,
        4.7134034029074074,
        4.7134234529145855,
        4.7134435029217645,
        4.7134635529289435,
        4.713483602936123,
        4.713503652943302,
        4.713523702950481,
        4.71354375295766,
        4.713563802964838,
        4.713583852972018,
        4.713603902979198,
        4.713623952986377,
        4.713644002993556,
        4.713664053000736,
        4.713684103007914,
        4.713704153015093,
        4.713724203022272,
        4.713744253029452,
        4.713764303036632,
        4.71378435304381,
        4.71380440305099,
        4.713824453058168,
        4.713844503065347,
        4.7138645530725265,
        4.7138846030797055,
        4.7139046530868844,
        4.713924703094064,
        4.713944753101243,
        4.713964803108422,
        4.7139848531156,
        4.71400490312278,
        4.71402495312996,
        4.714045003137138,
        4.714065053144318,
        4.714085103151497,
        4.714105153158675,
        4.714125203165855,
        4.714145253173034,
        4.714165303180214,
        4.714185353187392,
        4.714205403194572,
        4.714225453201752,
        4.714245503208929,
        4.714265553216109,
        4.7142856032232885,
        4.714305653230467,
        4.714325703237646,
        4.714345753244825,
        4.714365803252005,
        4.714385853259183,
        4.714405903266362,
        4.714425953273542,
        4.71444600328072,
        4.7144660532879,
        4.71448610329508,
        4.714506153302259,
        4.714526203309437,
        4.714546253316616,
        4.714566303323796,
        4.714586353330975,
        4.714606403338154,
        4.714626453345334,
        4.714646503352513,
        4.714666553359691,
        4.714686603366871,
        4.71470665337405,
        4.714726703381229,
        4.714746753388408,
        4.714766803395587,
        4.714786853402766,
        4.7148069034099445,
        4.714826953417124,
        4.714847003424303,
        4.714867053431482,
        4.714887103438662,
        4.714907153445842,
        4.71492720345302,
        4.714947253460199,
        4.714967303467378,
        4.714987353474557,
        4.715007403481737,
        4.715027453488916,
        4.715047503496095,
        4.715067553503274,
        4.715087603510453,
        4.715107653517633,
        4.715127703524811,
        4.715147753531991,
        4.7151678035391695,
        4.7151878535463485,
        4.7152079035535275,
        4.7152279535607065,
        4.715248003567885,
        4.715268053575065,
        4.715288103582244,
        4.715308153589424,
        4.715328203596602,
        4.715348253603781,
        4.715368303610961,
        4.715388353618139,
        4.715408403625319,
        4.715428453632498,
        4.715448503639678,
        4.715468553646857,
        4.715488603654035,
        4.715508653661215,
        4.715528703668394,
        4.715548753675573,
        4.7155688036827526,
        4.715588853689931,
        4.7156089036971105,
        4.7156289537042895,
        4.7156490037114684,
        4.715669053718647,
        4.715689103725826,
        4.715709153733006,
        4.715729203740185,
        4.715749253747364,
        4.715769303754543,
        4.715789353761721,
        4.715809403768901,
        4.715829453776081,
        4.71584950378326,
        4.715869553790439,
        4.715889603797619,
        4.715909653804797,
        4.715929703811976,
        4.715949753819155,
        4.715969803826335,
        4.715989853833514,
        4.716009903840693,
        4.7160299538478725,
        4.716050003855051,
        4.7160700538622295,
        4.716090103869409,
        4.716110153876588,
        4.716130203883767,
        4.716150253890947,
        4.716170303898126,
        4.716190353905304,
        4.716210403912483,
        4.716230453919663,
        4.716250503926843,
        4.716270553934021,
        4.716290603941201,
        4.71631065394838,
        4.716330703955558,
        4.716350753962738,
        4.716370803969917,
        4.716390853977097,
        4.716410903984275,
        4.716430953991455,
        4.7164510039986345,
        4.716471054005812,
        4.7164911040129915,
        4.716511154020171,
        4.7165312040273495,
        4.716551254034529,
        4.716571304041708,
        4.716591354048887,
        4.716611404056066,
        4.716631454063245,
        4.716651504070425,
        4.716671554077603,
        4.716691604084783,
        4.716711654091963,
        4.71673170409914,
        4.71675175410632,
        4.716771804113499,
        4.716791854120679,
        4.716811904127858,
        4.716831954135037,
        4.716852004142217,
        4.716872054149395,
        4.716892104156574,
        4.7169121541637535,
        4.716932204170932,
        4.7169522541781115,
        4.716972304185291,
        4.71699235419247,
        4.717012404199648,
        4.717032454206827,
        4.717052504214007,
        4.717072554221186,
        4.717092604228365,
        4.71721290427144,
        4.71723295427862,
        4.717253004285799,
        4.717273054292978,
        4.717293104300156,
        4.717313154307336,
        4.7173332043145155,
        4.717353254321694,
        4.7173733043288735,
        4.7173933543360524,
        4.717413404343231,
        4.71743345435041,
        4.717453504357589,
        4.717473554364768,
        4.717493604371948,
        4.717513654379127,
        4.717533704386307,
        4.717553754393485,
        4.717573804400664,
        4.717593854407844,
        4.717613904415022,
        4.717633954422202,
        4.717654004429381,
        4.71767405443656,
        4.71769410444374,
        4.717714154450918,
        4.717734204458098,
        4.717754254465277,
        4.717774304472456,
        4.718014904558604,
        4.718034954565784,
        4.718055004572964,
        4.718075054580143,
        4.718095104587322,
        4.718115154594502,
        4.71813520460168,
        4.718155254608859,
        4.718175304616038,
        4.718195354623218,
        4.718215404630397,
        4.7182354546375755,
        4.7182555046447545,
        4.7182755546519335,
        4.7182956046591125,
        4.718315654666292,
        4.718335704673471,
        4.71835575468065,
        4.71837580468783,
        4.718395854695008,
        4.718415904702187,
        4.718435954709366,
        4.718456004716546,
        4.718476054723726,
        4.718496104730904,
        4.718516154738084,
        4.718536204745262,
        4.718556254752441,
        4.718576304759621,
        4.7185963547668,
        4.718616404773979,
        4.718636454781158,
        4.7186565047883375,
        4.7186765547955165,
        4.718696604802695,
        4.7187166548098745,
        4.718736704817054,
        4.718756754824232,
        4.718776804831412,
        4.718796854838591,
        4.71881690484577,
        4.718836954852949,
        4.718857004860128,
        4.718877054867308,
        4.718897104874486,
        4.718917154881666,
        4.718937204888846,
        4.718957254896023,
        4.718977304903203,
        4.718997354910382,
        4.719017404917562,
        4.719037454924741,
        4.71905750493192,
        4.7190775549390995,
        4.719097604946278,
        4.719117654953457,
        4.7191377049606364,
        4.7191577549678145,
        4.719177804974994,
        4.719197854982174,
        4.719217904989353,
        4.719237954996531,
        4.71925800500371,
        4.71927805501089,
        4.719298105018069,
        4.719318155025248,
        4.719338205032428,
        4.719358255039607,
        4.719378305046785,
        4.719398355053965,
        4.719418405061144,
        4.719438455068323,
        4.719458505075503,
        4.719478555082682,
        4.719498605089861,
        4.719518655097039,
        4.719538705104219,
        4.7195587551113976,
        4.7195788051185765,
        4.719598855125756,
        4.719618905132935,
        4.719638955140114,
        4.719659005147293,
        4.719679055154472,
        4.719699105161651,
        4.719719155168831,
        4.71973920517601,
        4.71975925518319,
        4.719779305190368,
        4.719799355197547,
        4.719819405204727,
        4.719839455211905,
        4.719859505219085,
        4.719879555226264,
        4.719899605233443,
        4.719919655240622,
        4.719939705247801,
        4.719959755254981,
        4.719979805262159,
        4.7199998552693385,
        4.720019905276518,
        4.7200399552836965,
        4.720060005290875,
        4.720080055298055,
        4.720100105305233,
        4.720120155312413,
        4.720140205319592,
        4.720160255326772,
        4.720180305333951,
        4.720200355341129,
        4.720220405348309,
        4.720240455355487,
        4.720260505362667,
        4.720280555369847,
        4.720300605377025,
        4.720320655384205,
        4.720340705391384,
        4.720360755398563,
        4.720380805405742,
        4.720400855412921,
        4.7204209054201005,
        4.7204409554272795,
        4.7204610054344585,
        4.720481055441637,
        4.720501105448816,
        4.720521155455995,
        4.720541205463175,
        4.720561255470354,
        4.720581305477533,
        4.720601355484712,
        4.720621405491891,
        4.72064145549907,
        4.720661505506249,
        4.720681555513429,
        4.720701605520609,
        4.720721655527787,
        4.720741705534967,
        4.720761755542145,
        4.720781805549324,
        4.720801855556504,
        4.720821905563683,
        4.720841955570862,
        4.720862005578041,
        4.7208820555852204,
        4.720902105592399,
        4.7209221555995775,
        4.720942205606757,
        4.720962255613937,
        4.720982305621115,
        4.721002355628295,
        4.721022405635474,
        4.721042455642652,
        4.721062505649832,
        4.721082555657011,
        4.721102605664191,
        4.721122655671369,
        4.721142705678549,
        4.721162755685729,
        4.721182805692906,
        4.721202855700086,
        4.721222905707265,
        4.721242955714444,
        4.721263005721624,
        4.721283055728803,
        4.721303105735982,
        4.7213231557431605,
        4.7213432057503395,
        4.721363255757519,
        4.7213833057646974,
        4.721403355771877,
        4.721423405779057,
        4.721443455786236,
        4.721463505793414,
        4.721483555800593,
        4.721503605807773,
        4.721523655814952,
        4.721543705822131,
        4.721563755829311,
        4.721583805836488,
        4.721603855843668,
        4.721623905850848,
        4.721643955858027,
        4.721664005865206,
        4.721684055872386,
        4.721704105879565,
        4.721724155886743,
        4.721744205893922,
        4.7217642559011015,
        4.7217843059082805,
        4.721804355915459,
        4.721824405922639,
        4.721844455929818,
        4.721864505936996,
        4.721884555944176,
        4.721904605951355,
        4.721924655958534,
        4.721944705965714,
        4.721964755972893,
        4.721984805980072,
        4.72200485598725,
        4.72202490599443,
        4.72204495600161,
        4.722065006008788,
        4.722085056015968,
        4.722105106023147,
        4.722125156030326,
        4.722145206037505,
        4.722165256044684,
        4.722185306051863,
        4.722205356059042,
        4.722225406066221,
        4.722245456073401,
        4.722265506080579,
        4.722285556087758,
        4.722305606094938,
        4.722325656102116,
        4.722345706109296,
        4.722365756116475,
        4.722385806123655,
        4.722405856130834,
        4.722425906138012,
        4.722445956145192,
        4.72246600615237,
        4.72248605615955,
        4.72250610616673,
        4.722526156173908,
        4.722546206181088,
        4.722566256188267,
        4.722586306195446,
        4.722606356202625,
        4.722626406209804,
        4.722646456216983,
        4.722666506224162,
        4.722686556231341,
        4.72270660623852,
        4.722726656245698,
        4.722746706252878,
        4.722766756260058,
        4.722786806267237,
        4.722806856274416,
        4.722826906281595,
        4.722846956288774,
        4.722867006295953,
        4.722887056303132,
        4.722907106310312,
        4.722927156317491,
        4.72294720632467,
        4.72296725633185,
        4.722987306339028,
        4.723007356346207,
        4.723027406353387,
        4.7230474563605656,
        4.7230675063677445,
        4.7230875563749235,
        4.723107606382103,
        4.723127656389282,
        4.72314770639646,
        4.72316775640364,
        4.72318780641082,
        4.723207856417998,
        4.723227906425178,
        4.723247956432356,
        4.723268006439535,
        4.723288056446715,
        4.723308106453894,
        4.723328156461074,
        4.723348206468252,
        4.723368256475432,
        4.723388306482611,
        4.723408356489789,
        4.723428406496969,
        4.723448456504148,
        4.723468506511327,
        4.7234885565185065,
        4.7235086065256855,
        4.7235286565328645,
        4.723548706540043,
        4.723568756547222,
        4.723588806554402,
        4.72360885656158,
        4.72362890656876,
        4.72364895657594,
        4.723669006583117,
        4.723689056590297,
        4.723709106597476,
        4.723729156604656,
        4.723749206611835,
        4.723769256619014,
        4.723789306626194,
        4.723809356633371,
        4.723829406640551,
        4.723849456647731,
        4.723869506654909,
        4.723889556662089,
        4.7239096066692685,
        4.7239296566764475,
        4.723949706683626,
        4.7239697566908045,
        4.723989806697984,
        4.724009856705163,
        4.724029906712342,
        4.724049956719522,
        4.724070006726701,
        4.724090056733879,
        4.724110106741059,
        4.724130156748238,
        4.724150206755417,
        4.724170256762597,
        4.724190306769776,
        4.724210356776955,
        4.724230406784133,
        4.724250456791313,
        4.724270506798493,
        4.724290556805671,
        4.724310606812851,
        4.72433065682003,
        4.724350706827209,
        4.724370756834388,
        4.7243908068415665,
        4.7244108568487455,
        4.7244309068559245,
        4.724450956863104,
        4.724471006870284,
        4.724491056877462,
        4.724511106884641,
        4.724531156891821,
        4.724551206898999,
        4.724571256906179,
        4.724591306913358,
        4.724611356920537,
        4.724631406927717,
        4.724651456934895,
        4.724671506942075,
        4.724691556949253,
        4.724711606956433,
        4.724731656963613,
        4.724751706970791,
        4.724771756977971,
        4.724791806985149,
        4.7248118569923285,
        4.724892057021045,
        4.724912107028223,
        4.724932157035403,
        4.724952207042581,
        4.724972257049761,
        4.724992307056941,
        4.72501235706412,
        4.725032407071299,
        4.725052457078477,
        4.725072507085657,
        4.725092557092836,
        4.725112607100015,
        4.725132657107195,
        4.725152707114374,
        4.725172757121553,
        4.725192807128732,
        4.725212857135911,
        4.72523290714309,
        4.7252529571502695,
        4.7252730071574485,
        4.725293057164627,
        4.725313107171806,
        4.725333157178985,
        4.725353207186164,
        4.725373257193343,
        4.725393307200523,
        4.725413357207702,
        4.725433407214881,
        4.725453457222061,
        4.725473507229239,
        4.725493557236418,
        4.725513607243598,
        4.725533657250777,
        4.725553707257956,
        4.725573757265135,
        4.725593807272315,
        4.725613857279494,
        4.725633907286672,
        4.725653957293852,
        4.725674007301031,
        4.72569405730821,
        4.725714107315389,
        4.725734157322568,
        4.725754207329747,
        4.725774257336926,
        4.725794307344105,
        4.725814357351285,
        4.725834407358463,
        4.725854457365643,
        4.725874507372823,
        4.72589455738,
        4.72591460738718,
        4.725934657394359,
        4.725954707401539,
        4.725974757408718,
        4.725994807415897,
        4.726014857423077,
        4.726034907430254,
        4.726054957437434,
        4.726075007444614,
        4.726095057451792,
        4.726115107458972,
        4.726135157466151,
        4.72615520747333,
        4.7261752574805085,
        4.7261953074876875,
        4.726215357494867,
        4.726235407502046,
        4.726255457509225,
        4.726275507516405,
        4.726295557523583,
        4.726315607530762,
        4.726335657537942,
        4.726355707545121,
        4.7263757575523,
        4.72639580755948,
        4.726415857566659,
        4.726435907573838,
        4.726455957581016,
        4.726476007588196,
        4.726496057595375,
        4.726516107602554,
        4.726536157609734,
        4.7265562076169125,
        4.726576257624091,
        4.7265963076312705,
        4.7266163576384495,
        4.726636407645628,
        4.726656457652807,
        4.726676507659987,
        4.726696557667167,
        4.726716607674344,
        4.726736657681524,
        4.726756707688704,
        4.726776757695882,
        4.726796807703062,
        4.726816857710241,
        4.72683690771742,
        4.72705745779639,
        4.727077507803569,
        4.727097557810749,
        4.727117607817928,
        4.727137657825106,
        4.727157707832286,
        4.727177757839464,
        4.727197807846644,
        4.727217857853824,
        4.727237907861002,
        4.727257957868182,
        4.72727800787536,
        4.72729805788254,
        4.727318107889719,
        4.727338157896898,
        4.727358207904078,
        4.727378257911257,
        4.727398307918436,
        4.727418357925615,
        4.727438407932794,
        4.7274584579399725,
        4.727478507947152,
        4.727498557954331,
        4.72751860796151,
        4.727538657968689,
        4.727558707975868,
        4.727578757983047,
        4.727598807990226,
        4.727618857997406,
        4.727638908004585,
        4.727658958011764,
        4.727679008018944,
        4.727699058026122,
        4.727719108033301,
        4.727739158040481,
        4.72775920804766,
        4.727779258054839,
        4.727799308062018,
        4.727819358069198,
        4.727839408076377,
        4.727859458083555,
        4.7278795080907345,
        4.7278995580979135,
        4.7279196081050925,
        4.727939658112272,
        4.72795970811945,
        4.727979758126629,
        4.727999808133809,
        4.7283607082630335,
        4.728721608392258,
        4.728741658399437,
        4.7287617084066165,
        4.728781758413795,
        4.7288018084209735,
        4.728821858428153,
        4.728841908435332,
        4.728861958442511,
        4.72888200844969,
        4.72890205845687,
        4.728922108464049,
        4.728942158471227,
        4.728962208478407,
        4.728982258485587,
        4.729002308492765,
        4.729022358499945,
        4.729042408507124,
        4.729062458514303,
        4.729082508521482,
        4.729102558528661,
        4.729122608535841,
        4.729142658543019,
        4.729162708550199,
        4.7291827585573785,
        4.7292028085645565,
        4.7292228585717355,
        4.7292429085789145,
        4.7292629585860935,
        4.729283008593273,
        4.729303058600452,
        4.729323108607632,
        4.729343158614811,
        4.729363208621989,
        4.729383258629169,
        4.729403308636347,
        4.729423358643527,
        4.729443408650707,
        4.729463458657885,
        4.729483508665065,
        4.729503558672243,
        4.729523608679423,
        4.729784258772751,
        4.72980430877993,
        4.729824358787109,
        4.729844408794289,
        4.729864458801467,
        4.729884508808647,
        4.729904558815826,
        4.729924608823005,
        4.729944658830184,
        4.729964708837364,
        4.729984758844543,
        4.730004808851722,
        4.730024858858901,
        4.73004490886608,
        4.7300649588732595,
        4.730085008880438,
        4.7301050588876175,
        4.730125108894796,
        4.730145158901975,
        4.730165208909155,
        4.730185258916333,
        4.730205308923512,
        4.730225358930691,
        4.730245408937871,
        4.730265458945051,
        4.730285508952229,
        4.730305558959409,
        4.730325608966588,
        4.730345658973766,
        4.730365708980946,
        4.730385758988125,
        4.730405808995304,
        4.730425859002484,
        4.730445909009663,
        4.730465959016842,
        4.73048600902402,
        4.7305060590312,
        4.7305261090383794,
        4.7305461590455575,
        4.730566209052737,
        4.730586259059917,
        4.7306063090670945,
        4.730626359074274,
        4.730646409081453,
        4.730666459088633,
        4.730686509095812,
        4.730706559102991,
        4.730726609110171,
        4.730746659117348,
        4.730766709124528,
        4.730786759131708,
        4.730806809138887,
        4.730826859146066,
        4.730846909153245,
        4.730866959160425,
        4.730887009167603,
        4.730907059174782,
        4.730927109181962,
        4.7309471591891405,
        4.7309672091963195,
        4.730987259203499,
        4.731007309210678,
        4.73120780928247,
        4.731227859289648,
        4.731247909296828,
        4.731267959304007,
        4.731288009311186,
        4.731308059318365,
        4.731328109325544,
        4.731348159332723,
        4.731368209339902,
        4.7313882593470815,
        4.731408309354261,
        4.7314283593614395,
        4.731448409368618,
        4.731468459375797,
        4.731488509382976,
        4.731508559390156,
        4.731528609397335,
        4.731548659404514,
        4.731568709411693,
        4.731588759418872,
        4.731608809426052,
        4.73162885943323,
        4.73164890944041,
        4.73166895944759,
        4.731689009454768,
        4.731709059461947,
        4.731729109469126,
        4.731749159476306,
        4.731769209483485,
        4.731789259490664,
        4.7318093094978435,
        4.7318293595050225,
        4.731849409512201,
        4.73186945951938,
        4.7318895095265585,
        4.731909559533738,
        4.731929609540918,
        4.731949659548097,
        4.731969709555276,
        4.731989759562454,
        4.732009809569634,
        4.732029859576813,
        4.732049909583992,
        4.732069959591172,
        4.73209000959835,
        4.73211005960553,
        4.732130109612709,
        4.732150159619888,
        4.732170209627067,
        4.732190259634247,
        4.732210309641426,
        4.732230359648605,
        4.732250409655784,
        4.732270459662963,
        4.7322905096701415,
        4.7323105596773205,
        4.7323306096845,
        4.732350659691679,
        4.732370709698858,
        4.732390759706038,
        4.732410809713216,
        4.732430859720395,
        4.732450909727574,
        4.732470959734754,
        4.732491009741933,
        4.732511059749112,
        4.732531109756292,
        4.732551159763471,
        4.732571209770649,
        4.732591259777829,
        4.732611309785008,
        4.732631359792187,
        4.732651409799367,
        4.732671459806546,
        4.7326915098137246,
        4.732711559820903,
        4.7327316098280825,
        4.732751659835262,
        4.73277170984244,
        4.73279175984962,
        4.7328118098568,
        4.732831859863977,
        4.732851909871157,
        4.732871959878336,
        4.732892009885516,
        4.732912059892695,
        4.732932109899874,
        4.732952159907053,
        4.732972209914231,
        4.732992259921411,
        4.733012309928591,
        4.733032359935769,
        4.733052409942949,
        4.733072459950128,
        4.733092509957307,
        4.733112559964486,
        4.733132609971665,
        4.7331526599788445,
        4.7331727099860235,
        4.733192759993202,
        4.733212810000382,
        4.7332328600075595,
        4.733252910014739,
        4.733272960021919,
        4.733293010029098,
        4.733313060036277,
        4.733333110043456,
        4.733353160050636,
        4.733373210057814,
        4.733393260064993,
        4.733413310072173,
        4.733433360079353,
        4.733453410086531,
        4.733473460093711,
        4.73349351010089,
        4.733513560108068,
        4.733533610115248,
        4.733553660122427,
        4.733573710129606,
        4.733593760136785,
        4.733613810143964,
        4.733633860151144,
        4.7336539101583215,
        4.733673960165501,
        4.73369401017268,
        4.733714060179859,
        4.733734110187039,
        4.733754160194218,
        4.733774210201397,
        4.733794260208576,
        4.733814310215755,
        4.733834360222935,
        4.733854410230113,
        4.733874460237293,
        4.733894510244473,
        4.733914560251651,
        4.73393461025883,
        4.733954660266009,
        4.733974710273188,
        4.733994760280368,
        4.734014810287547,
        4.734034860294726,
        4.734054910301905,
        4.7340749603090835,
        4.734095010316263,
        4.734115060323441,
        4.734135110330621,
        4.734155160337801,
        4.734175210344979,
        4.734195260352159,
        4.734215310359337,
        4.734235360366517,
        4.734255410373696,
        4.734275460380875,
        4.734295510388055,
        4.734315560395233,
        4.734335610402413,
        4.734355660409592,
        4.734375710416771,
        4.73439576042395,
        4.73441581043113,
        4.7344358604383086,
        4.7344559104454875,
        4.7344759604526665,
        4.7344960104598455,
        4.7345160604670244,
        4.734536110474203,
        4.734556160481383,
        4.734576210488562,
        4.734596260495741,
        4.73461631050292,
        4.734636360510099,
        4.734656410517278,
        4.734676460524457,
        4.734696510531637,
        4.734716560538816,
        4.734736610545995,
        4.734756660553174,
        4.734776710560354,
        4.734796760567532,
        4.734816810574712,
        4.734836860581891,
        4.73485691058907,
        4.7348769605962495,
        4.734897010603428,
        4.734917060610607,
        4.7349371106177855,
        4.734957160624965,
        4.734977210632145,
        4.734997260639323,
        4.735017310646503,
        4.735037360653681,
        4.73505741066086,
        4.73507746066804,
        4.735097510675219,
        4.735117560682399,
        4.735137610689578,
        4.735157660696757,
        4.735177710703936,
        4.735197760711114,
        4.735217810718294,
        4.735237860725474,
        4.735257910732652,
        4.735277960739832,
        4.735298010747011,
        4.73531806075419,
        4.735338110761369,
        4.7353581607685475,
        4.735378210775727,
        4.735398260782906,
        4.735418310790085,
        4.735438360797265,
        4.735458410804442,
        4.735478460811622,
        4.735498510818802,
        4.735518560825981,
        4.73553861083316,
        4.735558660840339,
        4.735578710847519,
        4.735598760854697,
        4.735618810861876,
        4.735638860869056,
        4.735658910876234,
        4.735678960883414,
        4.735699010890594,
        4.735719060897773,
        4.735739110904951,
        4.735759160912131,
        4.7357792109193095,
        4.7357992609264885,
        4.7358193109336675,
        4.735839360940847,
        4.735859410948026,
        4.735879460955204,
        4.735899510962384,
        4.735919560969563,
        4.735939610976742,
        4.735959660983922,
        4.735979710991101,
        4.736180211062892,
        4.736200261070071,
        4.7362203110772505,
        4.7362403610844295,
        4.736260411091609,
        4.7362804610987865,
        4.736300511105966,
        4.736320561113146,
        4.736340611120324,
        4.736360661127504,
        4.736380711134684,
        4.736400761141862,
        4.736420811149042,
        4.73644086115622,
        4.7364609111634,
        4.736480961170579,
        4.736501011177758,
        4.736521061184938,
        4.736541111192116,
        4.736561161199295,
        4.736581211206475,
        4.736601261213653,
        4.736621311220833,
        4.7366413612280125,
        4.7366614112351915,
        4.73668146124237,
        4.7367015112495485,
        4.736721561256728,
        4.736741611263907,
        4.736761661271086,
        4.736781711278266,
        4.736801761285444,
        4.736821811292624,
        4.736841861299803,
        4.736861911306982,
        4.736881961314161,
        4.73690201132134,
        4.73692206132852,
        4.736942111335699,
        4.736962161342878,
        4.736982211350057,
        4.737002261357237,
        4.737022311364415,
        4.737042361371595,
        4.737062411378774,
        4.737082461385953,
        4.737102511393132,
        4.7371225614003105,
        4.7371426114074895,
        4.7371626614146685,
        4.737182711421848,
        4.737202761429028,
        4.737222811436206,
        4.737242861443386,
        4.737262911450564,
        4.737282961457743,
        4.737303011464923,
        4.737323061472102,
        4.737343111479281,
        4.737363161486461,
        4.73738321149364,
        4.737403261500819,
        4.737423311507997,
        4.737443361515177,
        4.737463411522357,
        4.737483461529535,
        4.737503511536715,
        4.7375235615438935,
        4.737543611551072,
        4.7375636615582515,
        4.7375837115654305,
        4.73760376157261,
        4.737623811579789,
        4.737643861586968,
        4.737663911594148,
        4.737683961601325,
        4.737704011608505,
        4.737724061615685,
        4.737744111622864,
        4.737764161630043,
        4.737784211637222,
        4.737804261644402,
        4.73782431165158,
        4.737844361658759,
        4.737864411665939,
        4.737884461673117,
        4.737904511680297,
        4.7379245616874766,
        4.737944611694655,
        4.737964661701834,
        4.7379847117090135,
        4.7380047617161924,
        4.738024811723371,
        4.73804486173055,
        4.73806491173773,
        4.738084961744908,
        4.738105011752087,
        4.738125061759267,
        4.738145111766446,
        4.738165161773625,
        4.738185211780805,
        4.738205261787984,
        4.738225311795162,
        4.738245361802342,
        4.738265411809521,
        4.7382854618167,
        4.738305511823879,
        4.738325561831059,
        4.7383456118382385,
        4.738365661845416,
        4.738385711852596,
        4.738405761859775,
        4.7384258118669536,
        4.738445861874133,
        4.738465911881312,
        4.738485961888491,
        4.7385060118956694,
        4.738526061902849,
        4.738546111910029,
        4.738566161917207,
        4.738586211924387,
        4.738606261931567,
        4.738626311938745,
        4.738646361945924,
        4.738666411953103,
        4.738686461960283,
        4.738706511967462,
        4.738726561974641,
        4.738746611981821,
        4.738766661988999,
        4.738786711996178,
        4.738806762003358,
        4.738826812010536,
        4.7388468620177155,
        4.738866912024895,
        4.738886962032074,
        4.738907012039253,
        4.738927062046431,
        4.738947112053611,
        4.73896716206079,
        4.738987212067969,
        4.739007262075149,
        4.739027312082327,
        4.739047362089507,
        4.739067412096686,
        4.739087462103865,
        4.739107512111044,
        4.739127562118223,
        4.739147612125403,
        4.739167662132582,
        4.739187712139761,
        4.73920776214694,
        4.739227812154119,
        4.739247862161298,
        4.7392679121684775,
        4.7392879621756565,
        4.7393080121828355,
        4.739328062190015,
        4.739348112197193,
        4.739368162204372,
        4.739388212211551,
        4.739408262218731,
        4.739428312225911,
        4.739448362233089,
        4.739468412240269,
        4.739488462247447,
        4.739508512254626,
        4.739528562261806,
        4.739548612268985,
        4.739568662276164,
        4.739588712283344,
        4.739608762290522,
        4.739628812297702,
        4.73964886230488,
        4.73966891231206,
        4.7396889623192395,
        4.739709012326418,
        4.7397290623335975,
        4.739749112340776,
        4.7397691623479545,
        4.739789212355134,
        4.739809262362313,
        4.739829312369493,
        4.739849362376672,
        4.739869412383851,
        4.73988946239103,
        4.739909512398208,
        4.739929562405388,
        4.739949612412568,
        4.739969662419746,
        4.739989712426926,
        4.740009762434105,
        4.740029812441284,
        4.740049862448463,
        4.740069912455642,
        4.740089962462822,
        4.74011001247,
        4.74013006247718,
        4.7401501124843595,
        4.740170162491537,
        4.7401902124987165,
        4.740210262505896,
        4.740230312513075,
        4.740250362520254,
        4.740270412527433,
        4.740290462534613,
        4.740310512541791,
        4.74033056254897,
        4.74035061255615,
        4.740370662563329,
        4.740390712570508,
        4.740410762577688,
        4.740430812584867,
        4.740450862592045,
        4.740470912599224,
        4.740490962606404,
        4.740511012613583,
        4.740531062620762,
        4.740551112627942,
        4.7405711626351215,
        4.740591212642299,
        4.7406112626494785,
        4.7406313126566575,
        4.7406513626638365,
        4.740671412671016,
        4.740691462678195,
        4.740711512685374,
        4.740731562692552,
        4.740751612699732,
        4.740771662706912,
        4.74079171271409,
        4.74081176272127,
        4.74083181272845,
        4.740851862735628,
        4.740871912742807,
        4.740891962749986,
        4.740912012757165,
        4.740932062764345,
        4.740952112771524,
        4.740972162778704,
        4.740992212785882,
        4.741012262793061,
        4.7410323128002405,
        4.741052362807419,
        4.7410724128145985,
        4.741092462821777,
        4.741112512828957,
        4.741132562836136,
        4.741152612843314,
        4.741172662850494,
        4.741192712857673,
        4.741212762864852,
        4.741232812872032,
        4.74125286287921,
        4.741272912886389,
        4.741292962893569,
        4.741313012900748,
        4.741333062907927,
        4.741353112915106,
        4.741373162922286,
        4.741393212929465,
        4.741413262936643,
        4.741433312943823,
        4.741453362951002,
        4.741473412958181,
        4.7414934629653605,
        4.741513512972539,
        4.741533562979718,
        4.741553612986897,
        4.741573662994076,
        4.741593713001255,
        4.741613763008434,
        4.741633813015614,
        4.741653863022793,
        4.741673913029972,
        4.741693963037151,
        4.74171401304433,
        4.741734063051509,
        4.741754113058689,
        4.741774163065868,
        4.741794213073047,
        4.741814263080227,
        4.741834313087405,
        4.741854363094584,
        4.741874413101763,
        4.741894463108943,
        4.741914513116122,
        4.7419345631233005,
        4.74195461313048,
        4.7419746631376585,
        4.7419947131448374,
        4.742014763152017,
        4.742034813159196,
        4.742054863166376,
        4.742074913173555,
        4.742094963180734,
        4.742115013187913,
        4.742135063195091,
        4.742155113202271,
        4.742175163209451,
        4.742195213216629,
        4.742215263223809,
        4.742235313230988,
        4.742255363238167,
        4.742275413245346,
        4.742295463252525,
        4.742315513259705,
        4.742335563266883,
        4.7423556132740625,
        4.742375663281242,
        4.74239571328842,
        4.742415763295599,
        4.742435813302779,
        4.742455863309958,
        4.742475913317137,
        4.742495963324316,
        4.742516013331496,
        4.742536063338674,
        4.742556113345853,
        4.742576163353033,
        4.742596213360211,
        4.742616263367391,
        4.742636313374571,
        4.74265636338175,
        4.742676413388928,
        4.742696463396107,
        4.742716513403287,
        4.742736563410466,
        4.742756613417645,
        4.7427766634248245,
        4.7427967134320035,
        4.742816763439182,
        4.742836813446361,
        4.74285686345354,
        4.742876913460719,
        4.742896963467899,
        4.742917013475078,
        4.742937063482256,
        4.742957113489435,
        4.742977163496615,
        4.742997213503795,
        4.743017263510973,
        4.743037313518153,
        4.743057363525333,
        4.74307741353251,
        4.74309746353969,
        4.743117513546869,
        4.743137563554048,
        4.743157613561228,
        4.743177663568407,
        4.7431977135755865,
        4.743217763582764,
        4.743237813589944,
        4.743257863597123,
        4.7432779136043015,
        4.743297963611481,
        4.74331801361866,
        4.743338063625839,
        4.743358113633018,
        4.743378163640197,
        4.743398213647377,
        4.743418263654556,
        4.743438313661735,
        4.743458363668915,
        4.743478413676093,
        4.743498463683272,
        4.743518513690452,
        4.74353856369763,
        4.74355861370481,
        4.743578663711989,
        4.743598713719169,
        4.743618763726348,
        4.743638813733526,
        4.7436588637407056,
        4.7436789137478845,
        4.7436989637550635,
        4.743719013762243,
        4.743739063769422,
        4.743759113776601,
        4.74377916378378,
        4.743799213790959,
        4.743819263798138,
        4.743839313805317,
        4.743859363812497,
        4.743879413819676,
        4.743899463826855,
        4.743919513834034,
        4.743939563841213,
        4.743959613848392,
        4.743979663855572,
        4.743999713862751,
        4.74401976386993,
        4.74403981387711,
        4.744059863884288,
        4.744079913891467,
        4.744099963898646,
        4.7441200139058255,
        4.744140063913005,
        4.744160113920183,
        4.744180163927363,
        4.744200213934541,
        4.74422026394172,
        4.7442403139489,
        4.744260363956079,
        4.744280413963258,
        4.744300463970438,
        4.744320513977617,
        4.744340563984796,
        4.744360613991974,
        4.744380663999154,
        4.744400714006334,
        4.744420764013512,
        4.744440814020692,
        4.744460864027871,
        4.744480914035049,
        4.744500964042229,
        4.744521014049408,
        4.7445410640565875,
        4.744561114063766,
        4.744581164070945,
        4.744601214078124,
        4.7446212640853025,
        4.744641314092482,
        4.744661364099662,
        4.744681414106841,
        4.74470146411402,
        4.744721514121199,
        4.744841814164274,
        4.744861864171454,
        4.744881914178632,
        4.744901964185811,
        4.74492201419299,
        4.74494206420017,
        4.744962114207349,
        4.744982164214528,
        4.745002214221707,
        4.7450222642288855,
        4.7450423142360645,
        4.745062364243244,
        4.745082414250423,
        4.745102464257602,
        4.745122514264782,
        4.745142564271961,
        4.745162614279139,
        4.745182664286318,
        4.745202714293498,
        4.745443314379647,
        4.7454633643868265,
        4.745483414394006,
        4.745503464401184,
        4.745523514408364,
        4.745543564415543,
        4.745563614422722,
        4.745583664429901,
        4.74560371443708,
        4.74562376444426,
        4.745643814451439,
        4.745663864458618,
        4.745683914465798,
        4.745703964472976,
        4.745724014480155,
        4.745744064487335,
        4.745764114494513,
        4.745784164501693,
        4.745804214508872,
        4.7458242645160515,
        4.7458443145232305,
        4.745864364530409,
        4.7458844145375885,
        4.7459044645447666,
        4.745924514551946,
        4.745944564559126,
        4.745964614566304,
        4.745984664573484,
        4.746004714580663,
        4.746024764587842,
        4.746044814595021,
        4.7460648646022,
        4.74608491460938,
        4.746104964616559,
        4.746125014623738,
        4.746145064630917,
        4.746165114638095,
        4.746185164645275,
        4.746205214652455,
        4.746225264659634,
        4.746245314666813,
        4.746265364673992,
        4.746285414681171,
        4.74630546468835,
        4.7463255146955285,
        4.746345564702708,
        4.746365614709888,
        4.746385664717066,
        4.746405714724245,
        4.746425764731424,
        4.746445814738603,
        4.746465864745783,
        4.746485914752962,
        4.746505964760141,
        4.74652601476732,
        4.746546064774499,
        4.746566114781679,
        4.746586164788857,
        4.746606214796037,
        4.746626264803217,
        4.746646314810395,
        4.746666364817575,
        4.746686414824753,
        4.746706464831932,
        4.746726514839112,
        4.7467465648462905,
        4.74676661485347,
        4.7467866648606485,
        4.746806714867828,
        4.746826764875007,
        4.746846814882185,
        4.746866864889365,
        4.746886914896545,
        4.746906964903723,
        4.746927014910903,
        4.746947064918082,
        4.746967114925261,
        4.74698716493244,
        4.747007214939619,
        4.747027264946799,
        4.747047314953977,
        4.747067364961157,
        4.747087414968337,
        4.747107464975514,
        4.747127514982694,
        4.747147564989873,
        4.7471676149970525,
        4.7471876650042315,
        4.7472077150114105,
        4.74722776501859,
        4.747247815025768,
        4.747267865032947,
        4.747287915040127,
        4.747307965047306,
        4.747328015054485,
        4.747348065061665,
        4.747368115068844,
        4.747388165076022,
        4.747408215083201,
        4.747428265090381,
        4.74744831509756,
        4.747468365104739,
        4.747488415111919,
        4.747508465119099,
        4.747528515126276,
        4.747548565133456,
        4.747568615140635,
        4.747588665147814,
        4.7476087151549935,
        4.7476287651621725,
        4.747648815169351,
        4.7476688651765295,
        4.747688915183709,
        4.747708965190889,
        4.747729015198067,
        4.747789165219605,
        4.747809215226784,
        4.747829265233963,
        4.747849315241142,
        4.747869365248322,
        4.747889415255501,
        4.747909465262681,
        4.747929515269858,
        4.747949565277038,
        4.747969615284218,
        4.747989665291396,
        4.748009715298576,
        4.748029765305755,
        4.7480498153129345,
        4.7480698653201125,
        4.7480899153272915,
        4.748109965334471,
        4.7481300153416495,
        4.748150065348829,
        4.748170115356009,
        4.748190165363187,
        4.748210215370366,
        4.748230265377546,
        4.748250315384725,
        4.748270365391904,
        4.748290415399083,
        4.748310465406263,
        4.748330515413442,
        4.74835056542062,
        4.7483706154278,
        4.748390665434978,
        4.748410715442158,
        4.748430765449338,
        4.748450815456517,
        4.748470865463696,
        4.7484909154708745,
        4.7485109654780535,
        4.7485310154852325,
        4.7485510654924115,
        4.748571115499591,
        4.74859116550677,
        4.748611215513949,
        4.748631265521128,
        4.748651315528307,
        4.748671365535486,
        4.748691415542666,
        4.748711465549845,
        4.748731515557024,
        4.748751565564203,
        4.748771615571382,
        4.748791665578561,
        4.74881171558574,
        4.74883176559292,
        4.7488518156001,
        4.748871865607278,
        4.748891915614458,
        4.748911965621636,
        4.748932015628815,
        4.7489520656359945,
        4.7489721156431735,
        4.748992165650353,
        4.749012215657531,
        4.749032265664711,
        4.74905231567189,
        4.749072365679068,
        4.749092415686248,
        4.749112465693428,
        4.749132515700606,
        4.749152565707786,
        4.749172615714965,
        4.749192665722144,
        4.749212715729323,
        4.749232765736502,
        4.749252815743682,
        4.74927286575086,
        4.74929291575804,
        4.749312965765219,
        4.749333015772397,
        4.749353065779577,
        4.749373115786756,
        4.7493931657939354,
        4.749413215801114,
        4.749433265808293,
        4.749453315815472,
        4.749473365822651,
        4.74949341582983,
        4.74951346583701,
        4.749533515844188,
        4.749553565851368,
        4.749573615858548,
        4.749593665865726,
        4.749613715872905,
        4.749633765880084,
        4.749653815887264,
        4.749673865894443,
        4.749693915901622,
        4.749713965908802,
        4.74973401591598,
        4.749754065923159,
        4.749774115930339,
        4.749794165937518,
        4.7498142159446965,
        4.749834265951876,
        4.749854315959055,
        4.7498743659662335,
        4.749894415973412,
        4.749914465980592,
        4.749934515987772,
        4.74995456599495,
        4.74997461600213,
        4.749994666009309,
        4.750014716016487,
        4.750034766023667,
        4.750054816030846,
        4.750074866038025,
        4.750094916045205,
        4.750114966052384,
        4.750135016059564,
        4.750155066066741,
        4.750175116073921,
        4.750195166081101,
        4.750215216088279,
        4.7502352660954585,
        4.7502553161026375,
        4.7502753661098165,
        4.7502954161169955,
        4.750315466124174,
        4.750335516131354,
        4.750355566138532,
        4.750375616145712,
        4.750395666152892,
        4.75041571616007,
        4.750435766167249,
        4.750455816174429,
        4.750475866181607,
        4.750495916188787,
        4.750515966195966,
        4.750536016203146,
        4.750556066210325,
        4.750576116217503,
        4.750596166224683,
        4.750616216231861,
        4.750636266239041,
        4.7506563162462205,
        4.7506763662533995,
        4.7506964162605785,
        4.750716466267757,
        4.750736516274936,
        4.750756566282115,
        4.750776616289294,
        4.750796666296474,
        4.750816716303653,
        4.750836766310832,
        4.750856816318011,
        4.75087686632519,
        4.750896916332369,
        4.750916966339549,
        4.750937016346728,
        4.750957066353907,
        4.750977116361085,
        4.750997166368265,
        4.751017216375444,
        4.751037266382623,
        4.751057316389803,
        4.7510773663969825,
        4.751097416404161,
        4.75111746641134,
        4.751137516418519,
        4.7511575664256975,
        4.751177616432877,
        4.751197666440056,
        4.751217716447235,
        4.751237766454414,
        4.751257816461593,
        4.751277866468773,
        4.751297916475951,
        4.751317966483131,
        4.75133801649031,
        4.751358066497489,
        4.751378116504669,
        4.751398166511847,
        4.751418216519026,
        4.751438266526206,
        4.751458316533385,
        4.751478366540565,
        4.751498416547743,
        4.751518466554923,
        4.751538516562102,
        4.75155856656928,
        4.7515786165764595,
        4.7515986665836385,
        4.751618716590818,
        4.751638766597997,
        4.751658816605176,
        4.751678866612355,
        4.751698916619534,
        4.751718966626713,
        4.751739016633893,
        4.751759066641071,
        4.751779116648251,
        4.751799166655431,
        4.751819216662609,
        4.751839266669788,
        4.751859316676967,
        4.751879366684147,
        4.751899416691326,
        4.751919466698505,
        4.751939516705685,
        4.751959566712862,
        4.751979616720042,
        4.7519996667272215,
        4.7520197167344005,
        4.7520397667415795,
        4.752059816748759,
        4.752079866755938,
        4.752099916763116,
        4.752119966770295,
        4.752140016777475,
        4.752160066784654,
        4.752180116791833,
        4.752200166799013,
        4.752220216806192,
        4.75224026681337,
        4.75226031682055,
        4.752280366827729,
        4.752300416834908,
        4.752320466842088,
        4.752340516849267,
        4.752360566856447,
        4.752380616863624,
        4.752400666870804,
        4.7524207168779835,
        4.752440766885162,
        4.7524608168923415,
        4.75248086689952,
        4.752500916906699,
        4.752520966913878,
        4.752541016921057,
        4.752561066928237,
        4.752581116935415,
        4.752601166942595,
        4.752621216949775,
        4.752641266956952,
        4.752661316964132,
        4.752681366971312,
        4.75270141697849,
        4.75272146698567,
        4.752741516992849,
        4.752761567000029,
        4.752781617007208,
        4.752801667014386,
        4.752821717021566,
        4.752841767028744,
        4.752861817035924,
        4.7528818670431034,
        4.7529019170502815,
        4.7529219670574605,
        4.7529420170646395,
        4.752962067071819,
        4.752982117078998,
        4.753002167086177,
        4.753022217093357,
        4.753042267100536,
        4.753062317107714,
        4.753082367114894,
        4.753102417122072,
        4.753122467129252,
        4.753142517136432,
        4.753162567143611,
        4.75318261715079,
        4.753202667157968,
        4.753222717165148,
        4.753242767172327,
        4.753262817179506,
        4.753282867186686,
        4.753302917193865,
        4.7533229672010435,
        4.7533430172082225,
        4.7533630672154015,
        4.7533831172225804,
        4.75340316722976,
        4.753423217236939,
        4.753443267244118,
        4.753463317251297,
        4.753483367258476,
        4.753503417265656,
        4.753523467272834,
        4.753543517280014,
        4.753563567287193,
        4.753583617294372,
        4.753603667301552,
        4.75362371730873,
        4.753643767315909,
        4.753663817323089,
        4.753683867330268,
        4.753703917337448,
        4.753723967344626,
        4.7537440173518055,
        4.7537640673589845,
        4.753784117366163,
        4.753804167373342,
        4.753824217380521,
        4.7538442673877,
        4.75386431739488,
        4.753884367402059,
        4.753904417409238,
        4.753924467416417,
        4.753944517423596,
        4.753964567430776,
        4.753984617437954,
        4.754004667445134,
        4.754024717452314,
        4.754044767459492,
        4.754064817466671,
        4.75408486747385,
        4.75410491748103,
        4.754124967488209,
        4.754145017495388,
        4.7541650675025675,
        4.754185117509745,
        4.754205167516925,
        4.754225217524104,
        4.754245267531283,
        4.754265317538462,
        4.754285367545642,
        4.754305417552821,
        4.754325467559999,
        4.754345517567178,
        4.754365567574358,
        4.754385617581537,
        4.754405667588716,
        4.754425717595896,
        4.754445767603074,
        4.754465817610253,
        4.754485867617433,
        4.754505917624612,
        4.754525967631791,
        4.754546017638971,
        4.75456606764615,
        4.754586117653328,
        4.754606167660507,
        4.754626217667687,
        4.754786617725119,
        4.754806667732298,
        4.754826717739478,
        4.754846767746658,
        4.754866817753835,
        4.754886867761015,
        4.754906917768195,
        4.754926967775373,
        4.754947017782553,
        4.754967067789732,
        4.754987117796912,
        4.75500716780409,
        4.755027217811269,
        4.7550472678184486,
        4.755067317825627,
        4.7550873678328065,
        4.755107417839986,
        4.7551274678471644,
        4.755147517854343,
        4.755167567861522,
        4.755187617868702,
        4.755207667875881,
        4.75522771788306,
        4.75524776789024,
        4.755267817897419,
        4.755287867904597,
        4.755307917911777,
        4.755327967918955,
        4.755348017926135,
        4.755368067933315,
        4.755388117940494,
        4.755408167947673,
        4.755428217954851,
        4.755448267962031,
        4.75546831796921,
        4.755488367976389,
        4.7555084179835685,
        4.7555284679907475,
        4.755548517997926,
        4.755568568005105,
        4.755588618012284,
        4.755608668019463,
        4.755628718026643,
        4.755648768033822,
        4.755668818041001,
        4.75568886804818,
        4.755708918055359,
        4.755728968062539,
        4.755749018069717,
        4.755769068076897,
        4.755789118084076,
        4.755809168091255,
        4.755829218098435,
        4.755849268105613,
        4.755869318112792,
        4.755889368119972,
        4.755909418127151,
        4.7559294681343305,
        4.755949518141509,
        4.7559695681486875,
        4.755989618155867,
        4.7560096681630455,
        4.756029718170225,
        4.756049768177404,
        4.756069818184583,
        4.756089868191763,
        4.756109918198941,
        4.756129968206121,
        4.756150018213299,
        4.756170068220479,
        4.756190118227659,
        4.756210168234837,
        4.756230218242017,
        4.756250268249196,
        4.756270318256374,
        4.756290368263554,
        4.756310418270733,
        4.756330468277913,
        4.756350518285092,
        4.756370568292271,
        4.7563906182994495,
        4.756410668306628,
        4.7564307183138075,
        4.756450768320987,
        4.756470818328165,
        4.756490868335345,
        4.756510918342525,
        4.756530968349703,
        4.756551018356882,
        4.756571068364061,
        4.756591118371241,
        4.75661116837842,
        4.756631218385599,
        4.756651268392779,
        4.756671318399957,
        4.756691368407136,
        4.756711418414316,
        4.756731468421495,
        4.756751518428674,
        4.756771568435853,
        4.7567916184430326,
        4.756811668450211,
        4.75683171845739,
        4.7568517684645695,
        4.756871818471749,
        4.756891868478927,
        4.756911918486107,
        4.756931968493286,
        4.756952018500464,
        4.756972068507644,
        4.756992118514823,
        4.757012168522002,
        4.757032218529181,
        4.757052268536361,
        4.757072318543541,
        4.757092368550718,
        4.757112418557898,
        4.757132468565078,
        4.757152518572256,
        4.757172568579436,
        4.757192618586615,
        4.757212668593794,
        4.757232718600973,
        4.757252768608152,
        4.7572728186153315,
        4.7572928686225096,
        4.757312918629689,
        4.757332968636869,
        4.757353018644047,
        4.757373068651226,
        4.757393118658405,
        4.757413168665584,
        4.757433218672764,
        4.757453268679943,
        4.757473318687123,
        4.757493368694302,
        4.75751341870148,
        4.75753346870866,
        4.757553518715838,
        4.757573568723018,
        4.757593618730198,
        4.757613668737377,
        4.757633718744555,
        4.757653768751734,
        4.757673818758914,
        4.757693868766093,
        4.7577139187732715,
        4.757733968780451,
        4.75775401878763,
        4.7577740687948085,
        4.757794118801988,
        4.757814168809167,
        4.757834218816346,
        4.757854268823526,
        4.757874318830705,
        4.757894368837884,
        4.757914418845062,
        4.757934468852242,
        4.757954518859421,
        4.7579745688666,
        4.75799461887378,
        4.758014668880959,
        4.758034718888138,
        4.758054768895317,
        4.758074818902496,
        4.758094868909675,
        4.758114918916855,
        4.7581349689240335,
        4.7581550189312125,
        4.7581750689383915,
        4.7581951189455705,
        4.75821516895275,
        4.758495869053257,
        4.758515919060437,
        4.758535969067616,
        4.7585560190747955,
        4.7585760690819745,
        4.7585961190891535,
        4.7586161690963324,
        4.7586362191035105,
        4.75865626911069,
        4.75867631911787,
        4.758696369125048,
        4.758716419132228,
        4.758736469139408,
        4.758756519146586,
        4.758776569153765,
        4.758796619160944,
        4.758816669168124,
        4.758836719175303,
        4.758856769182482,
        4.758876819189662,
        4.758896869196839,
        4.758916919204019,
        4.758936969211199,
        4.758957019218378,
        4.758977069225557,
        4.758997119232736,
        4.7590171692399155,
        4.7590372192470936,
        4.7590572692542725,
        4.759077319261452,
        4.759097369268631,
        4.75911741927581,
        4.75913746928299,
        4.759157519290169,
        4.759177569297347,
        4.759197619304527,
        4.759217669311706,
        4.759237719318885,
        4.759257769326064,
        4.759277819333244,
        4.759297869340423,
        4.759317919347601,
        4.759337969354781,
        4.759358019361961,
        4.759378069369139,
        4.759398119376319,
        4.759418169383498,
        4.759438219390676,
        4.7594582693978555,
        4.7594783194050345,
        4.759498369412214,
        4.7595184194193925,
        4.759538469426572,
        4.759558519433752,
        4.759578569440929,
        4.759598619448109,
        4.759618669455288,
        4.759638719462467,
        4.759658769469647,
        4.759678819476826,
        4.759698869484006,
        4.759718919491184,
        4.759738969498363,
        4.759759019505543,
        4.759779069512721,
        4.759799119519901,
        4.759819169527081,
        4.759839219534259,
        4.759859269541438,
        4.759879319548617,
        4.7598993695557965,
        4.7599194195629755,
        4.7599394695701545,
        4.759959519577334,
        4.759979569584513,
        4.759999619591691,
        4.760019669598871,
        4.76003971960605,
        4.760059769613229,
        4.760079819620409,
        4.760099869627588,
        4.760119919634767,
        4.760139969641945,
        4.760160019649125,
        4.760180069656304,
        4.760200119663483,
        4.760220169670663,
        4.760240219677842,
        4.760260269685021,
        4.7602803196922,
        4.760300369699379,
        4.760320419706558,
        4.7603404697137375,
        4.7603605197209165,
        4.760380569728095,
        4.760400619735274,
        4.760420669742453,
        4.760440719749633,
        4.760460769756811,
        4.760480819763991,
        4.76050086977117,
        4.760520919778349,
        4.760540969785529,
        4.760561019792707,
        4.760581069799886,
        4.760601119807065,
        4.760621169814245,
        4.760641219821425,
        4.760661269828603,
        4.760681319835783,
        4.760701369842962,
        4.76072141985014,
        4.76074146985732,
        4.760761519864499,
        4.7607815698716776,
        4.760801619878857,
        4.760821669886036,
        4.760841719893215,
        4.7608617699003934,
        4.760881819907573,
        4.760901869914753,
        4.760921919921931,
        4.760941969929111,
        4.760962019936289,
        4.760982069943469,
        4.7612627700439765,
        4.761282820051155,
        4.761302870058335,
        4.761322920065514,
        4.761342970072693,
        4.761363020079873,
        4.761383070087051,
        4.76140312009423,
        4.76142317010141,
        4.761443220108589,
        4.761463270115768,
        4.761483320122947,
        4.761503370130127,
        4.761523420137305,
        4.761543470144484,
        4.761563520151664,
        4.761583570158843,
        4.761603620166022,
        4.7616236701732015,
        4.7616437201803805,
        4.761663770187559,
        4.7616838201947385,
        4.761703870201917,
        4.761723920209096,
        4.761743970216275,
        4.761764020223455,
        4.761784070230635,
        4.761804120237812,
        4.761824170244992,
        4.761844220252171,
        4.76186427025935,
        4.76188432026653,
        4.761904370273709,
        4.761924420280889,
        4.761944470288067,
        4.761964520295246,
        4.761984570302426,
        4.762004620309604,
        4.762024670316784,
        4.7620447203239635,
        4.762064770331142,
        4.762084820338321,
        4.7621048703455,
        4.762124920352679,
        4.762144970359858,
        4.762165020367037,
        4.762185070374217,
        4.762205120381395,
        4.762225170388574,
        4.762245220395754,
        4.762265270402932,
        4.762285320410112,
        4.762305370417292,
        4.762325420424471,
        4.76234547043165,
        4.762365520438828,
        4.762385570446008,
        4.762405620453187,
        4.762425670460366,
        4.762445720467546,
        4.762465770474724,
        4.762485820481904,
        4.762505870489083,
        4.7625259204962616,
        4.7625459705034405,
        4.76256602051062,
        4.762586070517799,
        4.762606120524978,
        4.762626170532156,
        4.762646220539336,
        4.762666270546516,
        4.762686320553694,
        4.762706370560874,
        4.762726420568053,
        4.762746470575232,
        4.762766520582411,
        4.76278657058959,
        4.762806620596769,
        4.762826670603948,
        4.762846720611128,
        4.762866770618308,
        4.762886820625486,
        4.762906870632665,
        4.762926920639845,
        4.762946970647023,
        4.7629670206542025,
        4.7629870706613815,
        4.7630071206685605,
        4.76302717067574,
        4.763047220682918,
        4.763067270690098,
        4.763087320697276,
        4.763107370704456,
        4.763127420711636,
        4.763147470718814,
        4.763167520725994,
        4.763187570733172,
        4.763207620740351,
        4.763227670747531,
        4.76324772075471,
        4.76326777076189,
        4.763287820769069,
        4.763307870776248,
        4.763327920783427,
        4.763347970790605,
        4.763368020797785,
        4.7633880708049645,
        4.763408120812143,
        4.7634281708193225,
        4.763448220826501,
        4.76346827083368,
        4.763488320840859,
        4.763508370848038,
        4.763528420855218,
        4.763548470862397,
        4.763568520869576,
        4.763588570876756,
        4.763608620883934,
        4.763628670891113,
        4.763648720898293,
        4.763668770905472,
        4.763688820912651,
        4.76370887091983,
        4.76372892092701,
        4.763748970934188,
        4.763769020941367,
        4.763789070948547,
        4.763809120955726,
        4.763829170962905,
        4.7638492209700845,
        4.763869270977263,
        4.7638893209844415,
        4.763909370991621,
        4.7639294209988,
        4.763949471005979,
        4.763969521013158,
        4.763989571020338,
        4.764009621027518,
        4.764029671034695,
        4.764049721041875,
        4.764450721185457,
        4.764470771192637,
        4.764490821199815,
        4.764510871206995,
        4.764530921214175,
        4.764550971221354,
        4.764571021228532,
        4.764591071235711,
        4.764611121242891,
        4.76463117125007,
        4.764651221257249,
        4.764671271264429,
        4.764691321271607,
        4.764711371278786,
        4.7647314212859655,
        4.7647514712931445,
        4.764771521300323,
        4.764791571307503,
        4.764811621314682,
        4.764831671321861,
        4.764851721329039,
        4.764871771336219,
        4.764891821343398,
        4.764911871350577,
        4.764931921357757,
        4.764951971364936,
        4.764972021372115,
        4.764992071379294,
        4.765012121386473,
        4.765032171393652,
        4.765052221400831,
        4.765072271408011,
        4.76509232141519,
        4.765112371422369,
        4.765132421429548,
        4.7651524714367275,
        4.765172521443906,
        4.765192571451085,
        4.765212621458264,
        4.765232671465443,
        4.765252721472623,
        4.765272771479801,
        4.765292821486981,
        4.765312871494159,
        4.765332921501339,
        4.765352971508519,
        4.765373021515697,
        4.765393071522877,
        4.765413121530055,
        4.765433171537234,
        4.765453221544414,
        4.765473271551593,
        4.765493321558773,
        4.765513371565952,
        4.765533421573131,
        4.76555347158031,
        4.765573521587488,
        4.765593571594668,
        4.765613621601847,
        4.7656336716090255,
        4.765653721616205,
        4.7656737716233835,
        4.765693821630563,
        4.765713871637742,
        4.765733921644921,
        4.765753971652101,
        4.76577402165928,
        4.76601462174543,
        4.7660346717526085,
        4.7660547217597875,
        4.766074771766967,
        4.7660948217741455,
        4.766114871781324,
        4.766134921788504,
        4.766154971795683,
        4.766175021802862,
        4.766195071810041,
        4.766215121817221,
        4.7662351718244,
        4.766255221831578,
        4.766275271838758,
        4.766295321845937,
        4.766315371853116,
        4.766335421860296,
        4.766355471867475,
        4.766375521874653,
        4.766395571881832,
        4.766415621889012,
        4.7664356718961916,
        4.76645572190337,
        4.7664757719105495,
        4.766495821917729,
        4.7665158719249066,
        4.766535921932086,
        4.766555971939265,
        4.766576021946444,
        4.766596071953624,
        4.766616121960803,
        4.766636171967983,
        4.76665622197516,
        4.76667627198234,
        4.76669632198952,
        4.766716371996698,
        4.766736422003878,
        4.766756472011058,
        4.766776522018236,
        4.766796572025415,
        4.766816622032594,
        4.766836672039774,
        4.766856722046953,
        4.766876772054132,
        4.7668968220613115,
        4.76691687206849,
        4.7669369220756685,
        4.766956972082848,
        4.766977022090027,
        4.766997072097206,
        4.767297822204894,
        4.767317872212073,
        4.767337922219251,
        4.7673579722264305,
        4.76737802223361,
        4.7673980722407885,
        4.767418122247968,
        4.767438172255147,
        4.767458222262326,
        4.767478272269506,
        4.767498322276684,
        4.767518372283863,
        4.767538422291042,
        4.767558472298222,
        4.767578522305402,
        4.76759857231258,
        4.767618622319759,
        4.767638672326938,
        4.767658722334117,
        4.767678772341297,
        4.767698822348476,
        4.767718872355655,
        4.767738922362835,
        4.767758972370013,
        4.7677790223771925,
        4.767799072384371,
        4.7678191223915505,
        4.76783917239873,
        4.767859222405908,
        4.767879272413088,
        4.767899322420266,
        4.767919372427446,
        4.767939422434625,
        4.768200072527954,
        4.768220122535133,
        4.7682401725423125,
        4.768260222549491,
        4.76828027255667,
        4.76830032256385,
        4.768320372571028,
        4.768340422578207,
        4.768360472585387,
        4.768380522592566,
        4.768400572599745,
        4.768420622606924,
        4.768440672614104,
        4.768460722621282,
        4.768480772628461,
        4.768500822635641,
        4.76852087264282,
        4.768540922649999,
        4.768560972657179,
        4.768581022664358,
        4.768601072671536,
        4.768621122678715,
        4.768641172685895,
        4.7686612226930745,
        4.7686812727002525,
        4.7690722478402465,
        4.769503322994597,
        4.7695233730017765,
        4.7695434230089555,
        4.769563473016134,
        4.7695835230233135,
        4.769603573030493,
        4.769623623037671,
        4.769643673044851,
        4.76966372305203,
        4.769683773059209,
        4.769703823066388,
        4.769723873073567,
        4.769743923080746,
        4.769763973087925,
        4.769784023095105,
        4.769804073102285,
        4.769824123109463,
        4.769844173116642,
        4.769864223123821,
        4.769884273131,
        4.76990432313818,
        4.769924373145359,
        4.769944423152538,
        4.7699644731597175,
        4.769984523166896,
        4.7700045731740754,
        4.7700246231812535,
        4.770044673188433,
        4.770064723195613,
        4.770084773202791,
        4.770104823209971,
        4.770124873217149,
        4.770144923224328,
        4.770164973231508,
        4.770185023238687,
        4.770205073245867,
        4.770225123253046,
        4.770245173260225,
        4.770265223267404,
        4.770285273274582,
        4.770305323281762,
        4.770325373288942,
        4.770345423296121,
        4.7703654733033,
        4.770385523310479,
        4.770405573317658,
        4.7704256233248366,
        4.7704456733320155,
        4.770465723339195,
        4.7704857733463735,
        4.770505823353553,
        4.770525873360733,
        4.770545923367911,
        4.77056597337509,
        4.77058602338227,
        4.770606073389449,
        4.770626123396628,
        4.770646173403807,
        4.770666223410986,
        4.770686273418165,
        4.770706323425344,
        4.770726373432524,
        4.770746423439703,
        4.770766473446882,
        4.770786523454062,
        4.77080657346124,
        4.770826623468419,
        4.770846673475598,
        4.7708667234827775,
        4.7708867734899565,
        4.7709068234971355,
        4.770926873504315,
        4.770946923511494,
        4.770966973518672,
        4.770987023525852,
        4.771007073533031,
        4.77102712354021,
        4.77104717354739,
        4.771067223554569,
        4.771087273561747,
        4.771107323568926,
        4.771127373576106,
        4.771147423583286,
        4.771167473590464,
        4.771187523597644,
        4.771207573604824,
        4.771227623612001,
        4.771247673619181,
        4.77126772362636,
        4.7712877736335395,
        4.7713078236407185,
        4.7713278736478975,
        4.771347923655077,
        4.7713679736622545,
        4.771388023669434,
        4.771408073676614,
        4.771428123683792,
        4.771448173690972,
        4.771468223698151,
        4.771488273705331,
        4.771508323712509,
        4.771528373719688,
        4.771548423726868,
        4.771568473734047,
        4.771588523741226,
        4.771608573748406,
        4.771628623755584,
        4.771648673762763,
        4.771668723769943,
        4.771688773777122,
        4.771708823784301,
        4.77172887379148,
        4.7717489237986594,
        4.771768973805838,
        4.7717890238130165,
        4.771809073820196,
        4.7718291238273745,
        4.771849173834554,
        4.771869223841734,
        4.771889273848913,
        4.771909323856092,
        4.771929373863271,
        4.77194942387045,
        4.771969473877629,
        4.771989523884808,
        4.772009573891988,
        4.772029623899167,
        4.772049673906346,
        4.772069723913525,
        4.772089773920704,
        4.772109823927883,
        4.772129873935063,
        4.772149923942242,
        4.7721699739494206,
        4.7721900239566,
        4.7722100739637785,
        4.772230123970958,
        4.7722501739781364,
        4.772270223985316,
        4.772290273992496,
        4.772310323999674,
        4.772330374006853,
        4.772350424014032,
        4.772370474021211,
        4.772390524028391,
        4.77241057403557,
        4.77243062404275,
        4.772450674049928,
        4.772470724057108,
        4.772490774064287,
        4.772510824071465,
        4.772530874078645,
        4.772550924085825,
        4.772570974093003,
        4.7725910241001825,
        4.772611074107361,
        4.7726311241145405,
        4.7726511741217195,
        4.772671224128898,
        4.772691274136078,
        4.772711324143256,
        4.772731374150436,
        4.772751424157615,
        4.772771474164793,
        4.772791524171973,
        4.772811574179153,
        4.772831624186332,
        4.772851674193511,
        4.77287172420069,
        4.772891774207869,
        4.772911824215048,
        4.772931874222227,
        4.772951924229407,
        4.772971974236586,
        4.772992024243765,
        4.7730120742509445,
        4.773032124258123,
        4.773052174265302,
        4.773072224272481,
        4.77309227427966,
        4.773112324286839,
        4.773132374294018,
        4.773152424301198,
        4.773172474308377,
        4.773192524315555,
        4.773212574322735,
        4.773232624329914,
        4.773252674337093,
        4.773272724344273,
        4.773292774351452,
        4.77331282435863,
        4.773332874365809,
        4.773352924372989,
        4.773372974380169,
        4.773393024387347,
        4.773413074394527,
        4.7734331244017065,
        4.773453174408884,
        4.773473224416064,
        4.773493274423243,
        4.7735133244304215,
        4.773533374437601,
        4.77355342444478,
        4.77357347445196,
        4.773593524459137,
        4.773613574466317,
        4.773633624473497,
        4.773653674480675,
        4.773673724487855,
        4.773693774495034,
        4.773874224559646,
        4.773894274566826,
        4.7739143245740046,
        4.7739343745811835,
        4.7739544245883625,
        4.773974474595542,
        4.7739945246027204,
        4.774014574609899,
        4.774034624617079,
        4.774054674624257,
        4.774074724631437,
        4.774094774638617,
        4.774114824645796,
        4.774134874652974,
        4.774154924660154,
        4.774174974667333,
        4.774195024674512,
        4.774215074681691,
        4.774235124688871,
        4.77425517469605,
        4.774275224703228,
        4.774295274710408,
        4.774315324717587,
        4.774335374724766,
        4.7743554247319455,
        4.7743754747391245,
        4.7743955247463035,
        4.774415574753482,
        4.774435624760661,
        4.77445567476784,
        4.774475724775019,
        4.774495774782199,
        4.774515824789379,
        4.774535874796557,
        4.774555924803736,
        4.774575974810915,
        4.774596024818094,
        4.774616074825274,
        4.774636124832453,
        4.774656174839633,
        4.774676224846811,
        4.77469627485399,
        4.77471632486117,
        4.774736374868348,
        4.774756424875528,
        4.7747764748827075,
        4.774796524889886,
        4.7748165748970655,
        4.7748366249042435,
        4.774856674911423,
        4.774876724918602,
        4.774896774925781,
        4.774916824932961,
        4.774936874940139,
        4.774956924947319,
        4.774976974954498,
        4.774997024961676,
        4.775017074968856,
        4.775037124976036,
        4.775057174983215,
        4.775077224990394,
        4.775097274997573,
        4.775117325004752,
        4.775137375011931,
        4.77515742501911,
        4.77517747502629,
        4.775197525033468,
        4.775217575040648,
        4.7752376250478274,
        4.7752576750550055,
        4.7752777250621845,
        4.7752977750693635,
        4.775317825076543,
        4.775337875083722,
        4.775357925090901,
        4.775377975098081,
        4.775398025105259,
        4.775418075112438,
        4.775438125119618,
        4.775458175126797,
        4.775478225133976,
        4.775498275141156,
        4.775518325148335,
        4.775538375155513,
        4.775558425162692,
        4.775578475169872,
        4.775598525177052,
        4.77561857518423,
        4.77563862519141,
        4.775658675198588,
        4.775678725205767,
        4.7756987752129465,
        4.7757188252201255,
        4.7757388752273044,
        4.775758925234484,
        4.775778975241663,
        4.775799025248842,
        4.77581907525602,
        4.7758391252632,
        4.77585917527038,
        4.775879225277558,
        4.775899275284738,
        4.775919325291917,
        4.775939375299095,
        4.775959425306275,
        4.775979475313454,
        4.775999525320634,
        4.776019575327813,
        4.776039625334992,
        4.776059675342172,
        4.776079725349349,
        4.776099775356529,
        4.7761198253637085,
        4.776139875370887,
        4.776159925378066,
        4.776179975385245,
        4.776200025392425,
        4.776220075399603,
        4.776240125406782,
        4.776260175413962,
        4.77628022542114,
        4.77630027542832,
        4.7763203254355,
        4.776340375442679,
        4.776360425449857,
        4.776380475457037,
        4.776400525464216,
        4.776420575471395,
        4.776440625478574,
        4.776460675485754,
        4.776480725492933,
        4.776500775500111,
        4.776520825507291,
        4.77654087551447,
        4.776560925521649,
        4.776580975528828,
        4.776601025536007,
        4.776621075543186,
        4.7766411255503645,
        4.776661175557544,
        4.776681225564723,
        4.776701275571902,
        4.776721325579082,
        4.776741375586262,
        4.77676142559344,
        4.776781475600619,
        4.776801525607798,
        4.776821575614977,
        4.776841625622157,
        4.777262675772918,
        4.777282725780098,
        4.777302775787277,
        4.777322825794455,
        4.777342875801635,
        4.777362925808814,
        4.777382975815993,
        4.7774030258231726,
        4.777423075830351,
        4.7774431258375305,
        4.7774631758447095,
        4.7774832258518884,
        4.777503275859067,
        4.777523325866246,
        4.777543375873426,
        4.777563425880605,
        4.777583475887784,
        4.777603525894963,
        4.777623575902142,
        4.777643625909321,
        4.777663675916501,
        4.77768372592368,
        4.777703775930859,
        4.777723825938039,
        4.777743875945217,
        4.777763925952396,
        4.777783975959575,
        4.777804025966755,
        4.777824075973934,
        4.777844125981113,
        4.7778641759882925,
        4.777884225995471,
        4.7779042760026496,
        4.777924326009829,
        4.777944376017008,
        4.777964426024187,
        4.777984476031367,
        4.778004526038546,
        4.778024576045724,
        4.778044626052903,
        4.778064676060083,
        4.778084726067263,
        4.778104776074441,
        4.778124826081621,
        4.7781448760888,
        4.778164926095978,
        4.778184976103158,
        4.778205026110337,
        4.778225076117517,
        4.778245126124696,
        4.778265176131875,
        4.7782852261390545,
        4.778305276146232,
        4.7783253261534115,
        4.778345376160591,
        4.7783654261677695,
        4.778385476174949,
        4.778405526182128,
        4.778425576189308,
        4.778445626196486,
        4.778465676203665,
        4.778485726210845,
        4.778505776218023,
        4.778525826225203,
        4.778545876232383,
        4.778565926239561,
        4.77858597624674,
        4.77860602625392,
        4.778626076261099,
        4.778646126268278,
        4.778666176275457,
        4.778686226282637,
        4.778706276289816,
        4.778726326296994,
        4.7787463763041735,
        4.778766426311352,
        4.7787864763185315,
        4.778806526325711,
        4.77882657633289,
        4.778846626340069,
        4.778866676347247,
        4.778886726354427,
        4.778906776361606,
        4.778926826368785,
        4.778946876375965,
        4.778966926383145,
        4.778986976390322,
        4.779007026397502,
        4.779027076404681,
        4.77904712641186,
        4.77906717641904,
        4.779087226426219,
        4.779107276433398,
        4.779127326440576,
        4.779147376447756,
        4.7791674264549355,
        4.779187476462114,
        4.7792075264692935,
        4.779227576476473,
        4.779247626483651,
        4.77926767649083,
        4.779287726498009,
        4.779307776505188,
        4.779327826512368,
        4.779347876519547,
        4.779367926526727,
        4.779387976533905,
        4.779408026541084,
        4.779428076548264,
        4.779448126555442,
        4.779468176562622,
        4.779488226569801,
        4.77950827657698,
        4.77952832658416,
        4.779548376591338,
        4.779568426598518,
        4.779588476605697,
        4.779608526612876,
        4.7796285766200555,
        4.7796486266272336,
        4.779668676634413,
        4.779688726641592,
        4.7797087766487705,
        4.77972882665595,
        4.779748876663129,
        4.779768926670309,
        4.779788976677488,
        4.779809026684667,
        4.779829076691846,
        4.779849126699025,
        4.779869176706204,
        4.779889226713384,
        4.779909276720563,
        4.779929326727742,
        4.779949376734922,
        4.7799694267421,
        4.779989476749279,
        4.780009526756458,
        4.780029576763638,
        4.780049626770817,
        4.7800696767779955,
        4.780089726785175,
        4.7801097767923535,
        4.7801298267995325,
        4.780149876806712,
        4.780169926813891,
        4.78018997682107,
        4.78021002682825,
        4.780230076835429,
        4.780250126842607,
        4.780270176849786,
        4.780290226856966,
        4.780310276864146,
        4.780330326871324,
        4.780350376878504,
        4.780370426885682,
        4.780390476892861,
        4.780410526900041,
        4.78043057690722,
        4.780450626914399,
        4.780470676921579,
        4.7804907269287575,
        4.780590976964652,
        4.780611026971832,
        4.780631076979011,
        4.78065112698619,
        4.780671176993369,
        4.780691227000548,
        4.780711277007728,
        4.780731327014906,
        4.780751377022086,
        4.780771427029266,
        4.780791477036443,
        4.780811527043623,
        4.780831577050803,
        4.780851627057982,
        4.780871677065161,
        4.78089172707234,
        4.7809117770795195,
        4.780931827086698,
        4.780951877093877,
        4.7809719271010565,
        4.7809919771082345,
        4.781012027115414,
        4.781032077122594,
        4.781052127129773,
        4.781072177136951,
        4.78109222714413,
        4.78111227715131,
        4.781132327158489,
        4.781152377165668,
        4.781172427172848,
        4.781192477180027,
        4.781212527187205,
        4.781232577194385,
        4.781252627201564,
        4.781272677208743,
        4.781292727215923,
        4.781312777223102,
        4.781332827230281,
        4.781352877237459,
        4.781372927244639,
        4.7813929772518176,
        4.7814130272589965,
        4.781433077266176,
        4.781453127273356,
        4.781473177280534,
        4.781493227287713,
        4.781513277294892,
        4.781533327302071,
        4.781553377309251,
        4.78157342731643,
        4.78159347732361,
        4.781613527330788,
        4.781633577337967,
        4.781653627345147,
        4.781673677352325,
        4.781693727359505,
        4.781713777366684,
        4.781733827373863,
        4.781753877381043,
        4.781773927388221,
        4.781793977395401,
        4.7818140274025795,
        4.7818340774097585,
        4.781854127416938,
        4.7818741774241165,
        4.781894227431296,
        4.781914277438475,
        4.781934327445653,
        4.781954377452833,
        4.781974427460012,
        4.781994477467192,
        4.782014527474371,
        4.782034577481549,
        4.782054627488729,
        4.782074677495907,
        4.782094727503087,
        4.782114777510267,
        4.782134827517445,
        4.782154877524625,
        4.782174927531805,
        4.782194977538983,
        4.782215027546162,
        4.782235077553341,
        4.7822551275605205,
        4.7822751775676995,
        4.7822952275748785,
        4.782315277582057,
        4.7823353275892355,
        4.782355377596415,
        4.782375427603595,
        4.782395477610774,
        4.782415527617953,
        4.782435577625133,
        4.782455627632312,
        4.78247567763949,
        4.782495727646669,
        4.782515777653849,
        4.782535827661029,
        4.782555877668207,
        4.782575927675387,
        4.782595977682565,
        4.782616027689744,
        4.782636077696924,
        4.782656127704103,
        4.782676177711282,
        4.782696227718461,
        4.7827162777256405,
        4.782736327732819,
        4.7827563777399975,
        4.782776427747177,
        4.782796477754357,
        4.782816527761535,
        4.782836577768715,
        4.782856627775894,
        4.782876677783072,
        4.782896727790252,
        4.782916777797431,
        4.782936827804611,
        4.782956877811789,
        4.782976927818969,
        4.782996977826149,
        4.783017027833326,
        4.783037077840506,
        4.783057127847686,
        4.783077177854864,
        4.783097227862044,
        4.783117277869223,
        4.7831373278764024,
        4.7831573778835805,
        4.7831774278907595,
        4.783197477897939,
        4.7832175279051174,
        4.783237577912297,
        4.783257627919477,
        4.783277677926656,
        4.783297727933834,
        4.783317777941013,
        4.783337827948193,
        4.783357877955372,
        4.783377927962551,
        4.783397977969731,
        4.78341802797691,
        4.783438077984088,
        4.7836185280487005,
        4.783638578055879,
        4.783658628063059,
        4.783678678070239,
        4.783698728077416,
        4.783718778084596,
        4.783738828091775,
        4.783758878098954,
        4.783778928106134,
        4.783798978113313,
        4.783819028120492,
        4.783839078127671,
        4.78385912813485,
        4.78387917814203,
        4.783899228149208,
        4.783919278156388,
        4.783939328163567,
        4.783959378170746,
        4.783979428177925,
        4.783999478185104,
        4.784019528192283,
        4.7840395781994625,
        4.784059628206641,
        4.784079678213821,
        4.784099728220999,
        4.784119778228178,
        4.784139828235358,
        4.784159878242536,
        4.784179928249716,
        4.784921778515344,
        4.7857438288096885,
        4.7857638788168675,
        4.785783928824046,
        4.7858039788312245,
        4.785824028838404,
        4.785844078845583,
        4.785864128852762,
        4.785884178859942,
        4.785904228867122,
        4.785924278874299,
        4.785944328881479,
        4.785964378888658,
        4.785984428895837,
        4.786004478903017,
        4.786024528910196,
        4.786044578917375,
        4.786064628924553,
        4.786084678931733,
        4.786104728938913,
        4.786124778946091,
        4.786144828953271,
        4.78616487896045,
        4.786184928967629,
        4.786204978974808,
        4.7862250289819865,
        4.7862450789891655,
        4.786265128996345,
        4.786285179003524,
        4.786305229010704,
        4.786325279017882,
        4.786345329025061,
        4.786365379032241,
        4.786385429039419,
        4.786405479046599,
        4.786425529053778,
        4.786445579060957,
        4.786465629068137,
        4.786485679075315,
        4.786505729082495,
        4.786525779089673,
        4.786545829096853,
        4.786565879104033,
        4.786585929111211,
        4.786605979118391,
        4.78662602912557,
        4.7866460791327485,
        4.7866661291399275,
        4.7866861791471065,
        4.786706229154286,
        4.786726279161465,
        4.786746329168644,
        4.786766379175823,
        4.786786429183001,
        4.786806479190181,
        4.786826529197361,
        4.78684657920454,
        4.786866629211719,
        4.786886679218899,
        4.786906729226077,
        4.786926779233256,
        4.786946829240435,
        4.786966879247615,
        4.786986929254794,
        4.787006979261973,
        4.787027029269152,
        4.787047079276331,
        4.78706712928351,
        4.7870871792906895,
        4.7871072292978685,
        4.7871272793050474,
        4.787147329312226,
        4.787167379319406,
        4.787187429326584,
        4.787207479333763,
        4.787227529340943,
        4.787247579348123,
        4.787267629355301,
        4.787287679362481,
        4.787307729369659,
        4.787327779376838,
        4.787347829384018,
        4.787367879391197,
        4.787387929398376,
        4.787407979405555,
        4.787428029412735,
        4.787448079419914,
        4.787468129427092,
        4.787488179434272,
        4.787508229441451,
        4.78752827944863,
        4.787548329455809,
        4.787568379462988,
        4.787588429470167,
        4.787608479477346,
        4.787628529484525,
        4.787648579491705,
        4.787668629498883,
        4.787688679506063,
        4.787708729513243,
        4.78772877952042,
        4.7877488295276,
        4.787768879534779,
        4.787788929541959,
        4.787808979549138,
        4.787829029556317,
        4.787849079563497,
        4.787869129570675,
        4.787889179577854,
        4.787909229585034,
        4.787929279592212,
        4.787949329599392,
        4.787969379606571,
        4.78798942961375,
        4.7880094796209285,
        4.7880295296281075,
        4.788049579635287,
        4.788109729656825,
        4.788129779664003,
        4.788149829671182,
        4.788169879678362,
        4.788189929685541,
        4.78820997969272,
        4.7882300296999,
        4.788250079707079,
        4.788270129714258,
        4.788290179721436,
        4.788310229728616,
        4.788330279735795,
        4.788350329742974,
        4.788370379750154,
        4.7883904297573325,
        4.7884104797645115,
        4.7884305297716905,
        4.7884505797788695,
        4.788470629786048,
        4.788490679793228,
        4.788510729800407,
        4.788530779807587,
        4.788550829814765,
        4.788570879821944,
        4.788590929829124,
        4.788610979836302,
        4.788631029843482,
        4.788651079850661,
        4.78867112985784,
        4.788691179865019,
        4.788711229872198,
        4.788731279879378,
        4.788751329886556,
        4.788771379893736,
        4.7887914299009156,
        4.788811479908094,
        4.7888315299152735,
        4.7888515799224525,
        4.788871629929631,
        4.78889167993681,
        4.788911729943989,
        4.788931779951169,
        4.788951829958348,
        4.788971879965526,
        4.788991929972706,
        4.789011979979884,
        4.789032029987064,
        4.789052079994244,
        4.789072130001422,
        4.789092180008602,
        4.78911223001578,
        4.78913228002296,
        4.789152330030139,
        4.789172380037318,
        4.789192430044498,
        4.789212480051677,
        4.789232530058856,
        4.789252580066035,
        4.789272630073214,
        4.7892926800803926,
        4.789312730087572,
        4.789332780094751,
        4.78935283010193,
        4.789372880109109,
        4.789392930116288,
        4.789412980123467,
        4.789433030130646,
        4.789453080137826,
        4.789473130145006,
        4.789493180152184,
        4.789513230159364,
        4.789533280166542,
        4.789553330173721,
        4.789573380180901,
        4.78959343018808,
        4.789613480195259,
        4.789633530202438,
        4.789653580209618,
        4.789673630216797,
        4.789693680223975,
        4.7897137302311545,
        4.7897337802383335,
        4.7897538302455125,
        4.789773880252692,
        4.789793930259871,
        4.789813980267049,
        4.789834030274229,
        4.789854080281408,
        4.789874130288588,
        4.789894180295766,
        4.789914230302946,
        4.789934280310126,
        4.789954330317303,
        4.789974380324483,
        4.789994430331662,
        4.790014480338841,
        4.790034530346021,
        4.7900545803532,
        4.79007463036038,
        4.790094680367558,
        4.790114730374737,
        4.7901347803819165,
        4.790154830389095,
        4.7901748803962745,
        4.790194930403454,
        4.790214980410633,
        4.790235030417811,
        4.79025508042499,
        4.79027513043217,
        4.790295180439349,
        4.790315230446528,
        4.790335280453708,
        4.790355330460885,
        4.790375380468065,
        4.790395430475245,
        4.790415480482424,
        4.790435530489603,
        4.790455580496783,
        4.790475630503962,
        4.790495680511141,
        4.790515730518319,
        4.790535780525499,
        4.790555830532678,
        4.790575880539857,
        4.7905959305470365,
        4.7906159805542154,
        4.791117230733693,
        4.791137280740872,
        4.791157330748052,
        4.791177380755231,
        4.791197430762409,
        4.791217480769589,
        4.791237530776767,
        4.791257580783947,
        4.791277630791127,
        4.791297680798305,
        4.791317730805485,
        4.794375356900301,
        4.797553283038193,
        4.797573333045371,
        4.797593383052551,
        4.7976134330597295,
        4.7976334830669085,
        4.7976535330740875,
        4.797673583081267,
        4.797693633088446,
        4.797713683095624,
        4.797733733102804,
        4.797753783109983,
        4.797773833117162,
        4.797793883124342,
        4.797813933131521,
        4.7978339831387,
        4.797854033145879,
        4.797874083153058,
        4.797894133160238,
        4.797914183167416,
        4.797934233174596,
        4.797954283181776,
        4.797974333188954,
        4.797994383196133,
        4.798014433203312,
        4.798034483210491,
        4.7980545332176705,
        4.7980745832248495,
        4.798094633232029,
        4.798114683239208,
        4.798134733246386,
        4.798154783253566,
        4.798174833260744,
        4.798194883267924,
        4.798214933275104,
        4.798234983282282,
        4.798255033289462,
        4.79827508329664,
        4.79829513330382,
        4.798315183310999,
        4.798335233318178,
        4.798355283325358,
        4.798375333332536,
        4.798395383339716,
        4.798415433346895,
        4.798435483354073,
        4.798455533361253,
        4.7984755833684325,
        4.7984956333756115,
        4.79851568338279,
        4.798535733389969,
        4.798555783397148,
        4.798575833404327,
        4.798595883411506,
        4.798615933418686,
        4.798635983425864,
        4.798656033433044,
        4.798676083440223,
        4.798696133447402,
        4.798716183454581,
        4.798736233461761,
        4.79875628346894,
        4.798776333476119,
        4.798796383483298,
        4.798816433490477,
        4.798836483497657,
        4.798856533504835,
        4.7989768335479095,
        4.7989968835550885,
        4.799016933562268,
        4.799036983569448,
        4.799057033576626,
        4.799077083583806,
        4.799097133590985,
        4.799117183598163,
        4.799137233605343,
        4.799157283612522,
        4.799177333619701,
        4.799197383626881,
        4.79921743363406,
        4.799237483641239,
        4.799257533648417,
        4.799277583655597,
        4.799297633662777,
        4.799317683669955,
        4.799337733677135,
        4.799357783684314,
        4.799377833691492,
        4.7993978836986715,
        4.7994179337058505,
        4.79943798371303,
        4.799458033720209,
        4.799478083727388,
        4.799498133734568,
        4.799518183741745,
        4.799538233748925,
        4.799558283756105,
        4.799578333763284,
        4.799598383770463,
        4.799618433777642,
        4.799638483784822,
        4.799658533792,
        4.799678583799179,
        4.799698633806359,
        4.799718683813538,
        4.799738733820717,
        4.799758783827897,
        4.7997788338350755,
        4.799798883842254,
        4.7998189338494335,
        4.7998389838566125,
        4.799859033863791,
        4.79987908387097,
        4.79989913387815,
        4.799919183885329,
        4.799939233892507,
        4.799959283899687,
        4.799979333906866,
        4.799999383914045,
        4.800019433921225,
        4.800039483928404,
        4.800059533935583,
        4.800079583942762,
        4.800099633949941,
        4.80011968395712,
        4.800139733964299,
        4.800159783971479,
        4.8001798339786586,
        4.800199883985837,
        4.800219933993016,
        4.800239984000195,
        4.8002600340073736,
        4.800280084014553,
        4.800300134021732,
        4.800320184028911,
        4.80034023403609,
        4.800360284043269,
        4.800380334050449,
        4.800400384057627,
        4.800420434064807,
        4.800440484071987,
        4.800460534079165,
        4.800480584086344,
        4.800500634093523,
        4.800520684100703,
        4.800540734107882,
        4.800560784115061,
        4.800580834122241,
        4.800600884129419,
        4.800620934136598,
        4.800640984143778,
        4.800661034150956,
        4.8006810841581355,
        4.800701134165315,
        4.800721184172494,
        4.800741234179673,
        4.800761284186851,
        4.800781334194031,
        4.80080138420121,
        4.800821434208389,
        4.800841484215569,
        4.800861534222747,
        4.800881584229927,
        4.800901634237106,
        4.800921684244285,
        4.800941734251464,
        4.800961784258644,
        4.800981834265823,
        4.801001884273002,
        4.801021934280181,
        4.80104198428736,
        4.801062034294539,
        4.801082084301718,
        4.8011021343088975,
        4.8011221843160765,
        4.8011422343232555,
        4.801162284330435,
        4.801182334337613,
        4.801202384344792,
        4.801222434351971,
        4.801242484359151,
        4.801262534366331,
        4.801282584373509,
        4.801302634380689,
        4.801322684387868,
        4.801342734395046,
        4.801362784402226,
        4.801382834409405,
        4.801402884416584,
        4.801422934423764,
        4.801442984430943,
        4.801463034438122,
        4.8014830844453,
        4.80150313445248,
        4.8015231844596595,
        4.801543234466838,
        4.8015632844740175,
        4.801583334481197,
        4.8016033844883745,
        4.801623434495554,
        4.801643484502733,
        4.801663534509913,
        4.801683584517092,
        4.801703634524271,
        4.80172368453145,
        4.801743734538628,
        4.801763784545808,
        4.801783834552988,
        4.801803884560166,
        4.801823934567346,
        4.801843984574525,
        4.801864034581705,
        4.801884084588883,
        4.801904134596062,
        4.801924184603242,
        4.801944234610421,
        4.8019642846176,
        4.8019843346247795,
        4.802004384631957,
        4.8020244346391365,
        4.802044484646316,
        4.802064534653495,
        4.802084584660674,
        4.802104634667853,
        4.802124684675033,
        4.802144734682211,
        4.80216478468939,
        4.80218483469657,
        4.802204884703749,
        4.802224934710928,
        4.802244984718108,
        4.802265034725287,
        4.802285084732465,
        4.802305134739645,
        4.802325184746824,
        4.802345234754003,
        4.802365284761182,
        4.802385334768362,
        4.8024053847755415,
        4.802425434782719,
        4.8024454847898985,
        4.802585834840152,
        4.802605884847332,
        4.80262593485451,
        4.80264598486169,
        4.80266603486887,
        4.802686084876048,
        4.802706134883227,
        4.802726184890406,
        4.802746234897585,
        4.802766284904765,
        4.802786334911944,
        4.802806384919124,
        4.802826434926302,
        4.802846484933481,
        4.8028665349406605,
        4.802886584947839,
        4.8029066349550185,
        4.802926684962198,
        4.802946734969376,
        4.802966784976556,
        4.802986834983734,
        4.803006884990914,
        4.803026934998093,
        4.803046985005272,
        4.803067035012452,
        4.80308708501963,
        4.80310713502681,
        4.803127185033989,
        4.803147235041168,
        4.803167285048347,
        4.803187335055526,
        4.803207385062706,
        4.8037687852637205,
        4.8037888352709,
        4.8038088852780785,
        4.8038289352852575,
        4.803848985292437,
        4.803869035299616,
        4.803889085306796,
        4.803909135313975,
        4.803929185321154,
        4.803949235328333,
        4.803969285335511,
        4.803989335342691,
        4.804009385349871,
        4.804029435357049,
        4.804049485364229,
        4.804069535371408,
        4.804089585378587,
        4.804109635385766,
        4.804129685392945,
        4.804149735400125,
        4.8041697854073036,
        4.8041898354144825,
        4.804209885421662,
        4.80422993542884,
        4.804249985436019,
        4.804270035443199,
        4.804290085450378,
        4.804310135457557,
        4.804330185464736,
        4.804350235471916,
        4.804370285479094,
        4.804390335486273,
        4.804410385493453,
        4.804430435500631,
        4.804450485507811,
        4.804470535514991,
        4.80449058552217,
        4.804510635529348,
        4.804530685536528,
        4.804550735543707,
        4.804570785550886,
        4.804590835558065,
        4.8046108855652445,
        4.8046309355724235,
        4.804650985579602,
        4.804671035586781,
        4.80469108559396,
        4.804711135601139,
        4.804731185608319,
        4.804751235615498,
        4.804771285622677,
        4.804791335629855,
        4.804811385637035,
        4.804831435644215,
        4.804851485651393,
        4.804871535658573,
        4.804891585665753,
        4.804911635672931,
        4.80493168568011,
        4.804951735687289,
        4.804971785694468,
        4.804991835701648,
        4.805011885708827,
        4.8050319357160065,
        4.805051985723184,
        4.805072035730364,
        4.805092085737543,
        4.8051121357447215,
        4.805132185751901,
        4.805152235759081,
        4.805172285766259,
        4.805192335773439,
        4.805212385780617,
        4.805232435787797,
        4.805252485794976,
        4.805272535802155,
        4.805292585809335,
        4.805312635816513,
        4.805332685823692,
        4.805352735830872,
        4.80537278583805,
        4.80539283584523,
        4.805412885852409,
        4.805432935859589,
        4.805452985866768,
        4.805473035873946,
        4.805493085881126,
        4.8055131358883045,
        4.8055331858954835,
        4.805553235902663,
        4.805573285909842,
        4.805593335917021,
        4.8056133859242,
        4.805633435931379,
        4.805653485938558,
        4.805673535945737,
        4.805693585952917,
        4.805713635960096,
        4.805733685967275,
        4.805753735974454,
        4.805773785981634,
        4.805793835988812,
        4.805813885995992,
        4.805833936003171,
        4.80585398601035,
        4.80587403601753,
        4.805894086024708,
        4.805914136031887,
        4.806315136175469,
        4.806335186182649,
        4.806355236189828,
        4.8063752861970075,
        4.8063953362041865,
        4.806415386211365,
        4.806435436218545,
        4.8064554862257225,
        4.806475536232902,
        4.806495586240082,
        4.806515636247261,
        4.80653568625444,
        4.806555736261619,
        4.806575786268799,
        4.806595836275977,
        4.806615886283156,
        4.806635936290336,
        4.806655986297514,
        4.806676036304694,
        4.806696086311874,
        4.806716136319052,
        4.806736186326231,
        4.806756236333411,
        4.80677628634059,
        4.806796336347769,
        4.806816386354948,
        4.806836436362127,
        4.8068564863693055,
        4.8068765363764845,
        4.806896586383664,
        4.806916636390843,
        4.806936686398022,
        4.806956736405202,
        4.806976786412381,
        4.806996836419559,
        4.807016886426738,
        4.807036936433918,
        4.807056986441097,
        4.807077036448276,
        4.807097086455456,
        4.807117136462636,
        4.807137186469813,
        4.807157236476993,
        4.807177286484172,
        4.807197336491351,
        4.807217386498531,
        4.80723743650571,
        4.8072574865128885,
        4.807277536520067,
        4.8072975865272465,
        4.807317636534426,
        4.807337686541604,
        4.807357736548784,
        4.807377786555964,
        4.807397836563142,
        4.807417886570321,
        4.8074379365775,
        4.80745798658468,
        4.807478036591859,
        4.807498086599038,
        4.807518136606218,
        4.807538186613396,
        4.807558236620575,
        4.807578286627755,
        4.807598336634933,
        4.807618386642113,
        4.807638436649292,
        4.8076584866564716,
        4.8076785366636505,
        4.807698586670829,
        4.8077186366780085,
        4.8077386866851874,
        4.807758736692366,
        4.807778786699546,
        4.807798836706724,
        4.807818886713904,
        4.807838936721083,
        4.807858986728262,
        4.807879036735441,
        4.80789908674262,
        4.8079191367498,
        4.807939186756979,
        4.807959236764158,
        4.807979286771337,
        4.807999336778515,
        4.808019386785695,
        4.808039436792875,
        4.808059486800054,
        4.808079536807233,
        4.8080995868144125,
        4.808119636821591,
        4.80813968682877,
        4.8081597368359486,
        4.808179786843128,
        4.808199836850308,
        4.808219886857486,
        4.808239936864666,
        4.808259986871844,
        4.808280036879023,
        4.808300086886203,
        4.808320136893382,
        4.808340186900561,
        4.808360236907741,
        4.808380286914919,
        4.808400336922099,
        4.808420386929277,
        4.808440436936457,
        4.808460486943637,
        4.808480536950815,
        4.808500586957995,
        4.808520636965173,
        4.808540686972352,
        4.808560736979532,
        4.8085807869867105,
        4.80860083699389,
        4.8086208870010685,
        4.808640937008248,
        4.808660987015427,
        4.808681037022605,
        4.808701087029785,
        4.808721137036965,
        4.808741187044143,
        4.808761237051323,
        4.808781287058502,
        4.808801337065681,
        4.80882138707286,
        4.808841437080039,
        4.808861487087219,
        4.808881537094397,
        4.808901587101577,
        4.808921637108757,
        4.808941687115934,
        4.808961737123114,
        4.808981787130294,
        4.8090018371374725,
        4.8090218871446515,
        4.8090419371518305,
        4.80906198715901,
        4.809082037166188,
        4.809102087173367,
        4.809122137180547,
        4.809142187187726,
        4.809162237194905,
        4.809182287202085,
        4.809202337209264,
        4.809222387216442,
        4.809242437223621,
        4.809262487230801,
        4.80928253723798,
        4.809302587245159,
        4.809322637252339,
        4.809342687259519,
        4.809362737266696,
        4.809382787273876,
        4.809402837281055,
        4.809422887288234,
        4.8094429372954135,
        4.8094629873025925,
        4.8094830373097714,
        4.8095030873169495,
        4.809523137324129,
        4.809543187331309,
        4.809563237338487,
        4.809583287345667,
        4.809603337352847,
        4.809623387360025,
        4.809643437367204,
        4.809663487374383,
        4.809683537381562,
        4.809803837424638,
        4.809823887431816,
        4.809843937438996,
        4.809863987446175,
        4.8098840374533545,
        4.809904087460533,
        4.8099241374677115,
        4.809944187474891,
        4.80996423748207,
        4.809984287489249,
        4.810004337496429,
        4.810024387503607,
        4.810044437510786,
        4.810064487517966,
        4.810084537525145,
        4.810104587532324,
        4.810124637539503,
        4.810144687546683,
        4.810164737553862,
        4.81018478756104,
        4.81020483756822,
        4.810224887575398,
        4.810244937582578,
        4.810264987589758,
        4.810285037596937,
        4.810305087604116,
        4.8103251376112945,
        4.8103451876184735,
        4.8103652376256525,
        4.8103852876328315,
        4.810405337640011,
        4.81042538764719,
        4.810445437654369,
        4.810465487661548,
        4.810485537668727,
        4.810505587675906,
        4.810525637683086,
        4.810545687690265,
        4.810565737697444,
        4.810585787704624,
        4.810605837711802,
        4.810625887718981,
        4.81064593772616,
        4.81066598773334,
        4.81068603774052,
        4.810706087747698,
        4.810726137754878,
        4.810746187762056,
        4.810766237769235,
        4.8107862877764145,
        4.8108063377835935,
        4.811467988020504,
        4.811488038027684,
        4.811508088034863,
        4.811528138042042,
        4.811548188049222,
        4.8115682380564015,
        4.811588288063579,
        4.811608338070759,
        4.81178878813537,
        4.81180883814255,
        4.81182888814973,
        4.811848938156907,
        4.811868988164087,
        4.811889038171266,
        4.811909088178445,
        4.811929138185625,
        4.813583263777902,
        4.815397789427614,
        4.815417839434792,
        4.815437889441972,
        4.81545793944915,
        4.815477989456329,
        4.815718589542479,
        4.815738639549658,
        4.815758689556837,
        4.815778739564016,
        4.815798789571196,
        4.815818839578374,
        4.815838889585554,
        4.815858939592734,
        4.815878989599912,
        4.815899039607091,
        4.81591908961427,
        4.81593913962145,
        4.815959189628629,
        4.815979239635808,
        4.8159992896429875,
        4.816019339650166,
        4.816039389657345,
        4.816059439664524,
        4.816079489671703,
        4.816099539678882,
        4.816119589686062,
        4.816139639693241,
        4.816159689700419,
        4.816179739707598,
        4.816199789714778,
        4.816219839721957,
        4.816239889729136,
        4.816259939736316,
        4.816279989743495,
        4.816300039750673,
        4.816320089757853,
        4.816340139765032,
        4.816360189772211,
        4.816380239779391,
        4.81640028978657,
        4.816420339793748,
        4.816440389800927,
        4.816460439808107,
        4.816480489815286,
        4.8165005398224645,
        4.816520589829644,
        4.816540639836823,
        4.816560689844002,
        4.816580739851181,
        4.81660078985836,
        4.816620839865539,
        4.816640889872719,
        4.816660939879898,
        4.816680989887078,
        4.816701039894255,
        4.816721089901435,
        4.816741139908615,
        4.816761189915793,
        4.816781239922973,
        4.816801289930152,
        4.816821339937332,
        4.81684138994451,
        4.816861439951689,
        4.817122090045017,
        4.817142140052197,
        4.817162190059375,
        4.817182240066555,
        4.817202290073735,
        4.817222340080914,
        4.817242390088093,
        4.817262440095271,
        4.817282490102451,
        4.81730254010963,
        4.817322590116809,
        4.8173426401239885,
        4.8173626901311675,
        4.817382740138346,
        4.817402790145525,
        4.817422840152704,
        4.817442890159883,
        4.817462940167063,
        4.817482990174242,
        4.817503040181421,
        4.8175230901886,
        4.817543140195779,
        4.817563190202958,
        4.817583240210137,
        4.817603290217317,
        4.817623340224497,
        4.817643390231675,
        4.817663440238855,
        4.817683490246033,
        4.817703540253212,
        4.817723590260392,
        4.817743640267571,
        4.8177636902747505,
        4.817783740281929,
        4.817803790289108,
        4.817823840296287,
        4.8178438903034655,
        4.817863940310645,
        4.817883990317824,
        4.817904040325003,
        4.817924090332183,
        4.817944140339362,
        4.817964190346541,
        4.81798424035372,
        4.818004290360899,
        4.818024340368079,
        4.818044390375257,
        4.818064440382437,
        4.818084490389616,
        4.818104540396794,
        4.818124590403974,
        4.818144640411153,
        4.818164690418333,
        4.818184740425512,
        4.818204790432691,
        4.81822484043987,
        4.818244890447048,
        4.8182649404542275,
        4.818284990461407,
        4.818305040468585,
        4.818325090475765,
        4.818345140482945,
        4.818365190490123,
        4.818385240497302,
        4.818405290504481,
        4.821152141488021,
        4.824099492543352,
        4.824119542550532,
        4.824139592557712,
        4.824159642564891,
        4.82417969257207,
        4.824199742579248,
        4.824219792586428,
        4.824239842593607,
        4.824259892600786,
        4.824279942607966,
        4.824299992615144,
        4.824320042622324,
        4.824340092629503,
        4.824360142636682,
        4.8243801926438605,
        4.82440024265104,
        4.824420292658219,
        4.824440342665398,
        4.824460392672576,
        4.824480442679756,
        4.824500492686936,
        4.824520542694114,
        4.824540592701294,
        4.824560642708473,
        4.824580692715652,
        4.824600742722832,
        4.82462079273001,
        4.824640842737189,
        4.824660892744369,
        4.824680942751548,
        4.824700992758728,
        4.824721042765906,
        4.824741092773085,
        4.824761142780265,
        4.824781192787443,
        4.8248012427946225,
        4.8248212928018015,
        4.8248413428089805,
        4.82486139281616,
        4.824881442823339,
        4.824901492830518,
        4.824921542837696,
        4.824941592844876,
        4.824961642852056,
        4.824981692859234,
        4.825001742866414,
        4.825021792873593,
        4.825041842880771,
        4.825061892887951,
        4.82508194289513,
        4.82510199290231,
        4.825122042909489,
        4.825142092916668,
        4.825162142923847,
        4.825182192931025,
        4.825202242938205,
        4.8252222929453845,
        4.825242342952563,
        4.8252623929597425,
        4.825282442966922,
        4.8253024929741,
        4.825322542981279,
        4.825342592988458,
        4.825362642995638,
        4.825382693002817,
        4.825402743009996,
        4.825422793017176,
        4.825442843024354,
        4.825462893031533,
        4.825482943038713,
        4.825502993045892,
        4.825523043053071,
        4.82554309306025,
        4.82556314306743,
        4.825583193074608,
        4.825603243081787,
        4.825623293088967,
        4.8256433430961465,
        4.825663393103325,
        4.8256834431105045,
        4.825703493117683,
        4.8257235431248615,
        4.825743593132041,
        4.82576364313922,
        4.825783693146399,
        4.825803743153578,
        4.825823793160758,
        4.825843843167938,
        4.825863893175115,
        4.825883943182295,
        4.825903993189474,
        4.825924043196653,
        4.8261445932756235,
        4.8261646432828025,
        4.826184693289982,
        4.826204743297161,
        4.82622479330434,
        4.82624484331152,
        4.826264893318699,
        4.826284943325877,
        4.826304993333057,
        4.826325043340235,
        4.826345093347415,
        4.826365143354595,
        4.826385193361774,
        4.826405243368952,
        4.826425293376131,
        4.826445343383311,
        4.82646539339049,
        4.826485443397669,
        4.826505493404849,
        4.826525543412027,
        4.8265455934192065,
        4.8265656434263855,
        4.8265856934335645,
        4.8266057434407434,
        4.826625793447923,
        4.826645843455102,
        4.826665893462281,
        4.826685943469459,
        4.826705993476639,
        4.826726043483818,
        4.826746093490997,
        4.826766143498177,
        4.826786193505356,
        4.826806243512535,
        4.826826293519714,
        4.826846343526893,
        4.826866393534072,
        4.826886443541252,
        4.826906493548431,
        4.82692654355561,
        4.826946593562789,
        4.826966643569968,
        4.8269866935771475,
        4.827006743584326,
        4.827026793591505,
        4.827046843598684,
        4.827066893605863,
        4.827086943613043,
        4.827106993620221,
        4.827127043627401,
        4.827147093634579,
        4.827167143641759,
        4.827187193648939,
        4.827207243656117,
        4.827227293663297,
        4.827247343670476,
        4.827267393677654,
        4.827287443684834,
        4.827307493692013,
        4.827327543699193,
        4.827347593706372,
        4.827367643713551,
        4.82738769372073,
        4.827407743727908,
        4.827427793735088,
        4.827447843742267,
        4.8274678937494455,
        4.827487943756625,
        4.827507993763805,
        4.827528043770983,
        4.827548093778162,
        4.827568143785341,
        4.827588193792521,
        4.8276082437997,
        4.827628293806879,
        4.827648343814059,
        4.827668393821236,
        4.827688443828416,
        4.827708493835596,
        4.827728543842775,
        4.827748593849954,
        4.827768643857133,
        4.827788693864313,
        4.827808743871491,
        4.82782879387867,
        4.82784884388585,
        4.8278688938930285,
        4.8278889439002075,
        4.827908993907387,
        4.827929043914566,
        4.827949093921744,
        4.827969143928924,
        4.827989193936103,
        4.828009243943282,
        4.828029293950461,
        4.828049343957641,
        4.82806939396482,
        4.828089443971998,
        4.828109493979178,
        4.828129543986357,
        4.828149593993536,
        4.828169644000716,
        4.828189694007895,
        4.828209744015073,
        4.828229794022253,
        4.828249844029432,
        4.8282698940366116,
        4.82828994404379,
        4.8283099940509695,
        4.828330044058149,
        4.828350094065327,
        4.828370144072506,
        4.828390194079685,
        4.828410244086864,
        4.828430294094044,
        4.828450344101223,
        4.828470394108403,
        4.82849044411558,
        4.82851049412276,
        4.82853054412994,
        4.828550594137118,
        4.828570644144298,
        4.828590694151478,
        4.828610744158656,
        4.828630794165835,
        4.828650844173014,
        4.828670894180194,
        4.828690944187373,
        4.828710994194552,
        4.8287310442017315,
        4.82875109420891,
        4.8287711442160886,
        4.828791194223268,
        4.828811244230447,
        4.828831294237626,
        4.828851344244806,
        4.828871394251985,
        4.828891444259164,
        4.828911494266342,
        4.828931544273522,
        4.828951594280701,
        4.82897164428788,
        4.82899169429506,
        4.829011744302239,
        4.829031794309418,
        4.829051844316597,
        4.829071894323776,
        4.829091944330955,
        4.829111994338134,
        4.829132044345314,
        4.829152094352493,
        4.829172144359672,
        4.8291921943668505,
        4.82921224437403,
        4.8292322943812085,
        4.829252344388388,
        4.829272394395567,
        4.829292444402746,
        4.829312494409926,
        4.829332544417104,
        4.829352594424283,
        4.829372644431462,
        4.829392694438642,
        4.829412744445822,
        4.829432794453,
        4.82945284446018,
        4.829472894467359,
        4.829492944474537,
        4.830034294668374,
        4.830054344675553,
        4.8300743946827325,
        4.8300944446899114,
        4.83011449469709,
        4.83013454470427,
        4.830154594711448,
        4.830174644718627,
        4.830194694725807,
        4.830214744732986,
        4.830234794740165,
        4.830254844747344,
        4.830274894754524,
        4.830294944761702,
        4.830314994768881,
        4.830335044776061,
        4.83035509478324,
        4.830375144790419,
        4.830395194797599,
        4.830415244804778,
        4.830435294811956,
        4.830455344819136,
        4.830475394826315,
        4.8304954448334945,
        4.8305154948406726,
        4.830535544847852,
        4.830555594855032,
        4.8305756448622095,
        4.830595694869389,
        4.830615744876568,
        4.830635794883747,
        4.830655844890927,
        4.830675894898106,
        4.830695944905286,
        4.830715994912463,
        4.830736044919643,
        4.830756094926823,
        4.830776144934001,
        4.830796194941181,
        4.830816244948361,
        4.830836294955539,
        4.830856344962718,
        4.830876394969897,
        4.830896444977077,
        4.830916494984256,
        4.8309365449914345,
        4.830956594998614,
        4.8309766450057925,
        4.8309966950129715,
        4.831016745020151,
        4.831036795027329,
        4.831056845034509,
        4.831076895041689,
        4.831096945048868,
        4.831116995056047,
        4.831137045063225,
        4.831157095070405,
        4.831177145077584,
        4.831197195084763,
        4.831217245091943,
        4.831237295099121,
        4.831257345106301,
        4.83127739511348,
        4.831297445120659,
        4.831317495127838,
        4.831337545135017,
        4.8313575951421965,
        4.8313776451493755,
        4.831397695156554,
        4.8314177451637335,
        4.831437795170913,
        4.831457845178091,
        4.831477895185271,
        4.83149794519245,
        4.831517995199629,
        4.831538045206808,
        4.831558095213987,
        4.831578145221166,
        4.831598195228345,
        4.831618245235525,
        4.831638295242705,
        4.831658345249883,
        4.831678395257062,
        4.831698445264242,
        4.83171849527142,
        4.8317385452786,
        4.831758595285779,
        4.831778645292958,
        4.8317986953001375,
        4.831818745307316,
        4.8318387953144954,
        4.8318588453216735,
        4.831878895328853,
        4.831898945336033,
        4.831918995343211,
        4.831939045350391,
        4.831959095357569,
        4.831979145364748,
        4.831999195371928,
        4.832019245379107,
        4.832039295386287,
        4.832059345393466,
        4.832079395400645,
        4.832460345537048,
        4.832480395544227,
        4.832500445551407,
        4.832520495558585,
        4.832540545565764,
        4.832560595572944,
        4.832580645580123,
        4.832600695587302,
        4.832620745594482,
        4.832640795601661,
        4.832660845608839,
        4.8326808956160185,
        4.8327009456231975,
        4.8327209956303765,
        4.8327410456375555,
        4.832761095644735,
        4.832781145651915,
        4.832801195659092,
        4.832821245666272,
        4.832841295673451,
        4.83286134568063,
        4.83288139568781,
        4.832901445694989,
        4.832921495702168,
        4.832941545709346,
        4.832961595716526,
        4.832981645723706,
        4.833001695730884,
        4.833021745738064,
        4.833041795745244,
        4.833061845752421,
        4.833081895759601,
        4.83310194576678,
        4.8331219957739595,
        4.8331420457811385,
        4.833482895903183,
        4.833502945910363,
        4.833522995917542,
        4.833543045924721,
        4.8335630959319,
        4.8335831459390795,
        4.833603195946258,
        4.8336232459534365,
        4.833643295960616,
        4.833663345967795,
        4.833683395974974,
        4.833703445982154,
        4.833723495989333,
        4.833743545996512,
        4.833763596003691,
        4.83378364601087,
        4.833803696018049,
        4.833823746025228,
        4.833843796032408,
        4.833863846039587,
        4.833883896046766,
        4.833903946053945,
        4.833923996061124,
        4.833944046068303,
        4.833964096075483,
        4.833984146082662,
        4.8340041960898406,
        4.83402424609702,
        4.8340442961041985,
        4.834064346111378,
        4.8340843961185564,
        4.834104446125736,
        4.834124496132916,
        4.834144546140094,
        4.834164596147274,
        4.834184646154452,
        4.834204696161631,
        4.834224746168811,
        4.83424479617599,
        4.83426484618317,
        4.834284896190349,
        4.834304946197528,
        4.834324996204707,
        4.834345046211885,
        4.834365096219065,
        4.834385146226245,
        4.834405196233423,
        4.8344252462406025,
        4.834445296247781,
        4.8344653462549605,
        4.8344853962621395,
        4.834505446269318,
        4.834525496276498,
        4.834545546283676,
        4.834565596290856,
        4.834585646298036,
        4.834605696305213,
        4.834625746312393,
        4.834645796319573,
        4.834665846326752,
        4.834685896333931,
        4.83470594634111,
        4.834725996348289,
        4.834746046355468,
        4.834766096362647,
        4.834786146369827,
        4.834806196377006,
        4.834826246384185,
        4.8348462963913645,
        4.834866346398543,
        4.834886396405722,
        4.8349064464129015,
        4.83492649642008,
        4.834946546427259,
        4.834966596434438,
        4.834986646441618,
        4.835006696448797,
        4.835026746455975,
        4.835046796463155,
        4.835066846470334,
        4.835086896477513,
        4.835106946484693,
        4.835126996491872,
        4.83514704649905,
        4.835167096506229,
        4.835187146513409,
        4.835207196520589,
        4.835227246527767,
        4.835247296534947,
        4.8352673465421265,
        4.835287396549304,
        4.835307446556484,
        4.835327496563663,
        4.8353475465708415,
        4.835367596578021,
        4.8353876465852,
        4.83540769659238,
        4.835427746599557,
        4.835447796606737,
        4.835467846613917,
        4.835487896621095,
        4.835507946628275,
        4.835527996635455,
        4.835548046642633,
        4.835568096649812,
        4.835588146656991,
        4.835608196664171,
        4.83562824667135,
        4.835648296678529,
        4.835668346685709,
        4.835688396692887,
        4.835708446700066,
        4.835728496707246,
        4.835748546714425,
        4.8357685967216035,
        4.8357886467287825,
        4.835808696735962,
        4.835828746743141,
        4.835848796750319,
        4.835868846757499,
        4.835888896764678,
        4.835908946771857,
        4.835928996779037,
        4.835949046786216,
        4.835969096793395,
        4.835989146800574,
        4.836009196807753,
        4.836029246814932,
        4.836049296822111,
        4.836069346829291,
        4.83608939683647,
        4.836109446843648,
        4.836129496850828,
        4.836149546858007,
        4.836169596865186,
        4.8361896468723655,
        4.8362096968795445,
        4.8362297468867235,
        4.836249796893903,
        4.836269846901081,
        4.83628989690826,
        4.836309946915439,
        4.836329996922619,
        4.836350046929799,
        4.836370096936977,
        4.836390146944156,
        4.836410196951335,
        4.836430246958514,
        4.836450296965694,
        4.836470346972873,
        4.836490396980053,
        4.836510446987232,
        4.83653049699441,
        4.83655054700159,
        4.836570597008768,
        4.836590647015948,
        4.8366106970231275,
        4.836630747030306,
        4.8366507970374855,
        4.8366708470446635,
        4.836690897051843,
        4.836710947059022,
        4.836730997066201,
        4.837131997209784,
        4.837152047216963,
        4.837172097224142,
        4.837192147231321,
        4.837212197238501,
        4.837232247245679,
        4.837252297252858,
        4.837272347260038,
        4.837292397267217,
        4.837312447274396,
        4.837332497281576,
        4.837352547288755,
        4.837372597295933,
        4.837392647303112,
        4.837412697310292,
        4.837432747317472,
        4.83745279732465,
        4.83747284733183,
        4.8374928973390094,
        4.837512947346187,
        4.8375329973533665,
        4.8375530473605455,
        4.8375730973677245,
        4.837593147374904,
        4.837613197382083,
        4.837633247389263,
        4.83765329739644,
        4.83767334740362,
        4.8376933974108,
        4.837713447417978,
        4.837733497425158,
        4.837753547432338,
        4.837773597439515,
        4.837793647446695,
        4.837813697453874,
        4.837833747461054,
        4.837853797468233,
        4.837873847475412,
        4.837893897482592,
        4.83791394748977,
        4.837933997496949,
        4.8379540475041285,
        4.837974097511307,
        4.837994147518486,
        4.838014197525665,
        4.838034247532845,
        4.838054297540023,
        4.838074347547202,
        4.838094397554382,
        4.838114447561561,
        4.83813449756874,
        4.83815454757592,
        4.838174597583098,
        4.838194647590277,
        4.838214697597457,
        4.838234747604636,
        4.838254797611815,
        4.838274847618994,
        4.838294897626174,
        4.838314947633353,
        4.838334997640531,
        4.838355047647711,
        4.83837509765489,
        4.838395147662069,
        4.838415197669248,
        4.838435247676427,
        4.838455297683606,
        4.838475347690785,
        4.838495397697964,
        4.838515447705143,
        4.838535497712322,
        4.838555547719502,
        4.838575597726682,
        4.83859564773386,
        4.838615697741039,
        4.838635747748218,
        4.838655797755397,
        4.838675847762577,
        4.838695897769756,
        4.838715947776935,
        4.838735997784115,
        4.838756047791293,
        4.838776097798473,
        4.838796147805651,
        4.838816197812831,
        4.83883624782001,
        4.8388562978271885,
        4.838876347834368,
        4.8388963978415465,
        4.838916447848725,
        4.838936497855905,
        4.838956547863084,
        4.838976597870264,
        4.838996647877442,
        4.839016697884622,
        4.839036747891801,
        4.839056797898979,
        4.839076847906159,
        4.839096897913339,
        4.839116947920518,
        4.839136997927697,
        4.839157047934876,
        4.839177097942055,
        4.839197147949234,
        4.839217197956413,
        4.839237247963593,
        4.839257297970771,
        4.8392773479779505,
        4.83929739798513,
        4.8393174479923085,
        4.839337497999487,
        4.839357548006666,
        4.839377598013846,
        4.839397648021025,
        4.839417698028204,
        4.839437748035383,
        4.839457798042562,
        4.839477848049741,
        4.839497898056921,
        4.8395179480641,
        4.839537998071279,
        4.839558048078459,
        4.839578098085637,
        4.839598148092816,
        4.839618198099995,
        4.839638248107175,
        4.839658298114354,
        4.839678348121533,
        4.8396983981287125,
        4.8397184481358915,
        4.83973849814307,
        4.839758548150249,
        4.839778598157428,
        4.839798648164607,
        4.839818698171787,
        4.839838748178966,
        4.839858798186144,
        4.839878848193323,
        4.839898898200503,
        4.839918948207683,
        4.839938998214861,
        4.839959048222041,
        4.83997909822922,
        4.839999148236398,
        4.840019198243578,
        4.840039248250757,
        4.840059298257937,
        4.840079348265116,
        4.840099398272295,
        4.8401194482794745,
        4.840139498286652,
        4.8401595482938315,
        4.840179598301011,
        4.8401996483081895,
        4.840219698315369,
        4.840239748322548,
        4.840690873484079,
        4.841382598731758,
        4.841402648738938,
        4.841422698746117,
        4.841442748753296,
        4.8414627987604755,
        4.841482848767654,
        4.841502898774833,
        4.841522948782012,
        4.8415429987891905,
        4.84156304879637,
        4.841583098803549,
        4.841603148810729,
        4.841623198817908,
        4.841643248825087,
        4.841663298832266,
        4.841683348839445,
        4.841703398846624,
        4.841723448853804,
        4.841743498860983,
        4.841763548868162,
        4.841783598875342,
        4.84180364888252,
        4.841823698889699,
        4.841843748896878,
        4.841863798904058,
        4.841883848911237,
        4.8419038989184155,
        4.841923948925595,
        4.841943998932774,
        4.8419640489399525,
        4.841984098947132,
        4.842004148954311,
        4.84202419896149,
        4.84204424896867,
        4.842064298975849,
        4.842084348983027,
        4.842104398990206,
        4.842124448997386,
        4.842144499004566,
        4.842164549011744,
        4.842184599018924,
        4.842204649026103,
        4.842224699033281,
        4.842244749040461,
        4.84226479904764,
        4.842284849054819,
        4.842304899061999,
        4.8423249490691775,
        4.842344999076357,
        4.842365049083535,
        4.8423850990907145,
        4.843287349413775,
        4.844470299837344,
        4.844490349844523,
        4.844510399851702,
        4.8445304498588815,
        4.8445504998660605,
        4.84457054987324,
        4.8445905998804175,
        4.844610649887597,
        4.844630699894777,
        4.844650749901955,
        4.844670799909135,
        4.844690849916314,
        4.844710899923492,
        4.844730949930672,
        4.844750999937851,
        4.844771049945031,
        4.844791099952209,
        4.844811149959389,
        4.844831199966569,
        4.844851249973746,
        4.844871299980926,
        4.844891349988106,
        4.844911399995284,
        4.844931450002464,
        4.844951500009643,
        4.8449715500168224,
        4.8449916000240005,
        4.8450116500311795,
        4.845031700038359,
        4.8450517500455375,
        4.845071800052717,
        4.845091850059897,
        4.845111900067076,
        4.845131950074254,
        4.845152000081434,
        4.845172050088613,
        4.845192100095792,
        4.845212150102971,
        4.845232200110151,
        4.84525225011733,
        4.845272300124508,
        4.845292350131688,
        4.845312400138867,
        4.845332450146046,
        4.845352500153226,
        4.845372550160405,
        4.8453926001675836,
        4.845412650174762,
        4.8454327001819415,
        4.8454527501891205,
        4.8454728001962994,
        4.845492850203479,
        4.845512900210659,
        4.845532950217837,
        4.845553000225016,
        4.845573050232195,
        4.845593100239374,
        4.845613150246554,
        4.845633200253733,
        4.845653250260912,
        4.845673300268091,
        4.84569335027527,
        4.84571340028245,
        4.845733450289628,
        4.845753500296808,
        4.845773550303988,
        4.845793600311166,
        4.845813650318345,
        4.845833700325524,
        4.845853750332703,
        4.8458738003398825,
        4.845893850347061,
        4.845913900354241,
        4.845933950361419,
        4.845954000368599,
        4.845974050375778,
        4.845994100382956,
        4.846014150390136,
        4.846034200397315,
        4.846054250404495,
        4.846074300411674,
        4.846094350418852,
        4.846114400426032,
        4.846134450433211,
        4.84615450044039,
        4.84617455044757,
        4.846194600454748,
        4.846214650461928,
        4.8462347004691075,
        4.846254750476286,
        4.846274800483465,
        4.846294850490644,
        4.846314900497823,
        4.846334950505002,
        4.846355000512181,
        4.84637505051936,
        4.846395100526538,
        4.846415150533718,
        4.846435200540898,
        4.846455250548077,
        4.846475300555256,
        4.846495350562436,
        4.846515400569614,
        4.846535450576793,
        4.846555500583972,
        4.846575550591152,
        4.846595600598331,
        4.84661565060551,
        4.84663570061269,
        4.846655750619868,
        4.846675800627047,
        4.846695850634227,
        4.846715900641406,
        4.8467359506485845,
        4.846756000655764,
        4.846776050662943,
        4.846796100670122,
        4.8468161506773,
        4.84683620068448,
        4.84685625069166,
        4.846876300698838,
        4.846896350706018,
        4.846916400713197,
        4.846936450720375,
        4.846956500727555,
        4.846976550734734,
        4.846996600741914,
        4.847016650749092,
        4.847036700756272,
        4.847056750763452,
        4.847076800770629,
        4.847096850777809,
        4.847116900784989,
        4.847136950792167,
        4.8471570007993465,
        4.8471770508065255,
        4.847197100813705,
        4.8472171508208834,
        4.847237200828062,
        4.847257250835242,
        4.84727730084242,
        4.8472973508496,
        4.84731740085678,
        4.847337450863958,
        4.847357500871137,
        4.847377550878317,
        4.847397600885496,
        4.847417650892675,
        4.847437700899854,
        4.847457750907034,
        4.847477800914212,
        4.847497850921391,
        4.847517900928571,
        4.847537950935749,
        4.847558000942929,
        4.8475780509501085,
        4.8475981009572875,
        4.8476181509644665,
        4.848039201115228,
        4.8480592511224065,
        4.8480793011295855,
        4.848099351136765,
        4.848119401143944,
        4.848139451151124,
        4.848159501158302,
        4.848179551165481,
        4.848199601172661,
        4.848219651179839,
        4.848239701187019,
        4.848259751194198,
        4.848279801201377,
        4.848299851208557,
        4.848319901215735,
        4.848339951222915,
        4.848360001230094,
        4.848380051237273,
        4.848400101244453,
        4.848420151251631,
        4.848440201258811,
        4.84846025126599,
        4.848480301273168,
        4.8485003512803475,
        4.8485204012875265,
        4.848540451294706,
        4.848560501301885,
        4.848580551309064,
        4.848600601316243,
        4.848620651323421,
        4.848640701330601,
        4.848660751337781,
        4.84868080134496,
        4.848700851352139,
        4.848720901359319,
        4.848740951366497,
        4.848761001373676,
        4.848781051380855,
        4.848801101388035,
        4.848821151395214,
        4.848841201402393,
        4.848861251409573,
        4.848881301416751,
        4.84890135142393,
        4.8489214014311095,
        4.8489414514382885,
        4.8489615014454674,
        4.848981551452647,
        4.849001601459826,
        4.849021651467004,
        4.849041701474183,
        4.849061751481363,
        4.849081801488543,
        4.849101851495721,
        4.849121901502901,
        4.849141951510079,
        4.849162001517258,
        4.849182051524438,
        4.849202101531617,
        4.849222151538796,
        4.849242201545975,
        4.849262251553155,
        4.849282301560335,
        4.849302351567512,
        4.849322401574692,
        4.8493424515818715,
        4.84936250158905,
        4.849382551596229,
        4.849402601603408,
        4.849422651610587,
        4.849442701617766,
        4.849462751624945,
        4.849482801632125,
        4.849502851639303,
        4.849522901646483,
        4.849542951653663,
        4.84956300166084,
        4.84958305166802,
        4.849603101675199,
        4.849623151682379,
        4.849643201689558,
        4.849663251696737,
        4.849683301703917,
        4.849703351711095,
        4.849723401718274,
        4.849743451725454,
        4.849763501732632,
        4.849783551739812,
        4.849803601746991,
        4.84982365175417,
        4.8498437017613485,
        4.8498637517685275,
        4.849883801775707,
        4.849903851782886,
        4.849923901790065,
        4.849943951797245,
        4.849964001804424,
        4.849984051811602,
        4.850004101818782,
        4.850024151825961,
        4.85004420183314,
        4.85006425184032,
        4.850084301847499,
        4.850104351854678,
        4.850124401861856,
        4.850144451869036,
        4.850164501876215,
        4.850184551883394,
        4.850204601890574,
        4.8502246518977525,
        4.8502447019049315,
        4.8502647519121105,
        4.8502848019192895,
        4.850304851926468,
        4.850324901933648,
        4.850344951940827,
        4.850365001948007,
        4.850385051955185,
        4.850405101962364,
        4.850425151969544,
        4.850445201976722,
        4.850465251983902,
        4.850485301991081,
        4.85050535199826,
        4.85052540200544,
        4.850545452012618,
        4.850565502019798,
        4.850585552026977,
        4.850605602034156,
        4.850625652041336,
        4.850645702048514,
        4.8506657520556935,
        4.8506858020628725,
        4.850705852070051,
        4.85072590207723,
        4.850745952084409,
        4.850766002091589,
        4.850786052098768,
        4.850806102105946,
        4.850826152113126,
        4.850846202120304,
        4.850866252127484,
        4.850886302134664,
        4.850906352141842,
        4.850926402149022,
        4.850946452156202,
        4.85096650216338,
        4.850986552170559,
        4.851006602177738,
        4.851026652184918,
        4.851046702192097,
        4.851066752199276,
        4.851086802206455,
        4.851106852213634,
        4.8511269022208126,
        4.851146952227992,
        4.851167002235171,
        4.85118705224235,
        4.85120710224953,
        4.851227152256708,
        4.851688302421828,
        4.851708352429008,
        4.851728402436186,
        4.851748452443366,
        4.851768502450546,
        4.851788552457723,
        4.851808602464903,
        4.851828652472082,
        4.851848702479261,
        4.851868752486441,
        4.85188880249362,
        4.8519088525008,
        4.851928902507978,
        4.851948952515157,
        4.8519690025223365,
        4.851989052529515,
        4.8520091025366945,
        4.852029152543874,
        4.852049202551053,
        4.852069252558231,
        4.85208930256541,
        4.85210935257259,
        4.852129402579769,
        4.852149452586948,
        4.852169502594128,
        4.852189552601307,
        4.852209602608485,
        4.852229652615665,
        4.852249702622844,
        4.852269752630023,
        4.852289802637203,
        4.852309852644382,
        4.852329902651561,
        4.852349952658739,
        4.852370002665919,
        4.852390052673098,
        4.852410102680277,
        4.8524301526874565,
        4.8524502026946355,
        4.852470252701814,
        4.852490302708993,
        4.852510352716172,
        4.852530402723351,
        4.852550452730531,
        4.85257050273771,
        4.852590552744889,
        4.852610602752068,
        4.852630652759247,
        4.852650702766427,
        4.852670752773605,
        4.852690802780785,
        4.852710852787964,
        4.852730902795143,
        4.852750952802322,
        4.852771002809501,
        4.852791052816681,
        4.85281110282386,
        4.852831152831039,
        4.8528512028382185,
        4.8528712528453966,
        4.8528913028525755,
        4.852911352859755,
        4.8529314028669335,
        4.852951452874113,
        4.8532522029818,
        4.853873753204352,
        4.853893803211532,
        4.853913853218711,
        4.853933903225891,
        4.853953953233069,
        4.853974003240249,
        4.853994053247429,
        4.854014103254606,
        4.854034153261786,
        4.854054203268965,
        4.854074253276144,
        4.854094303283324,
        4.854114353290503,
        4.8541344032976825,
        4.854154453304861,
        4.85417450331204,
        4.8541945533192195,
        4.8542146033263975,
        4.854234653333577,
        4.854254703340757,
        4.854274753347935,
        4.854294803355114,
        4.854314853362293,
        4.854334903369473,
        4.854354953376652,
        4.854375003383831,
        4.854395053391011,
        4.854415103398188,
        4.854435153405368,
        4.854455203412548,
        4.854475253419726,
        4.854495303426906,
        4.854515353434086,
        4.854535403441265,
        4.854555453448443,
        4.854575503455622,
        4.854595553462802,
        4.854615603469981,
        4.8546356534771595,
        4.854655703484339,
        4.854675753491518,
        4.8546958034986964,
        4.854715853505876,
        4.854735903513055,
        4.854755953520234,
        4.854776003527414,
        4.854796053534593,
        4.854816103541772,
        4.85483615354895,
        4.85485620355613,
        4.85531735372125,
        4.85533740372843,
        4.855357453735608,
        4.855377503742788,
        4.855397553749967,
        4.855417603757146,
        4.855437653764325,
        4.855457703771504,
        4.8554777537786835,
        4.8554978037858625,
        4.8555178537930415,
        4.85553790380022,
        4.8555579538073985,
        4.855578003814578,
        4.855598053821758,
        4.855618103828937,
        4.855638153836116,
        4.855658203843295,
        4.855678253850474,
        4.855698303857653,
        4.855718353864832,
        4.855738403872012,
        4.855758453879191,
        4.85577850388637,
        4.855798553893549,
        4.855818603900728,
        4.855838653907907,
        4.855858703915087,
        4.855878753922266,
        4.855898803929445,
        4.855918853936624,
        4.8559389039438035,
        4.8559589539509815,
        4.8559790039581605,
        4.85599905396534,
        4.85601910397252,
        4.856039153979698,
        4.856059203986878,
        4.856079253994056,
        4.856099304001235,
        4.856119354008415,
        4.856139404015594,
        4.856159454022773,
        4.856179504029952,
        4.856199554037132,
        4.856219604044311,
        4.856239654051489,
        4.856259704058669,
        4.856279754065848,
        4.856299804073027,
        4.856319854080207,
        4.856339904087386,
        4.856359954094565,
        4.8563800041017435,
        4.8564000541089225,
        4.856420104116102,
        4.8564401541232805,
        4.85646020413046,
        4.85648025413764,
        4.856500304144817,
        4.856520354151997,
        4.856540404159176,
        4.856560454166356,
        4.856580504173535,
        4.856600554180714,
        4.856620604187894,
        4.856640654195071,
        4.856660704202251,
        4.856680754209431,
        4.856700804216609,
        4.856720854223789,
        4.856740904230969,
        4.856760954238148,
        4.856781004245326,
        4.856801054252505,
        4.8568211042596845,
        4.8568411542668635,
        4.856861204274042,
        4.856881254281222,
        4.8569013042884,
        4.856921354295579,
        4.856941404302759,
        4.856961454309938,
        4.856981504317117,
        4.857001554324297,
        4.857021604331476,
        4.857041654338655,
        4.857061704345833,
        4.857081754353013,
        4.857101804360193,
        4.857121854367371,
        4.857141904374551,
        4.85716195438173,
        4.857182004388909,
        4.857202054396088,
        4.857222104403267,
        4.857242154410446,
        4.857262204417625,
        4.857282254424804,
        4.857302304431984,
        4.857322354439162,
        4.857342404446341,
        4.857362454453521,
        4.857382504460699,
        4.857402554467879,
        4.857422604475058,
        4.857442654482237,
        4.857462704489416,
        4.857482754496595,
        4.857502804503775,
        4.857522854510953,
        4.857542904518133,
        4.857562954525313,
        4.857583004532491,
        4.857603054539671,
        4.85762310454685,
        4.857643154554028,
        4.857663204561208,
        4.857683254568387,
        4.857703304575566,
        4.857723354582745,
        4.8577434045899235,
        4.857763454597103,
        4.857783504604281,
        4.857803554611461,
        4.857823604618641,
        4.857843654625819,
        4.857863704632999,
        4.857883754640177,
        4.857903804647357,
        4.857923854654536,
        4.857943904661715,
        4.857963954668895,
        4.857984004676074,
        4.858004054683253,
        4.858024104690432,
        4.858044154697611,
        4.85806420470479,
        4.85808425471197,
        4.858104304719149,
        4.8581243547263275,
        4.8581444047335065,
        4.8581644547406855,
        4.8581845047478645,
        4.858204554755043,
        4.858224604762223,
        4.858244654769403,
        4.858264704776581,
        4.858284754783761,
        4.858304804790939,
        4.858324854798118,
        4.858344904805298,
        4.858364954812477,
        4.858385004819656,
        4.858405054826835,
        4.858425104834015,
        4.858445154841194,
        4.858465204848372,
        4.858485254855552,
        4.858505304862731,
        4.858926355013492,
        4.858946405020672,
        4.8589664550278515,
        4.8589865050350305,
        4.859006555042209,
        4.8590266050493875,
        4.859046655056567,
        4.859066705063746,
        4.859086755070925,
        4.859106805078105,
        4.859126855085282,
        4.859146905092462,
        4.859166955099642,
        4.859187005106821,
        4.859207055114,
        4.85922710512118,
        4.859247155128359,
        4.859267205135538,
        4.859287255142716,
        4.859307305149896,
        4.859327355157075,
        4.859347405164254,
        4.859367455171434,
        4.859387505178613,
        4.859407555185791,
        4.859427605192971,
        4.8594476552001495,
        4.8594677052073285,
        4.8594877552145075,
        4.859507805221687,
        4.859527855228866,
        4.859547905236044,
        4.859567955243224,
        4.859588005250404,
        4.859608055257582,
        4.859628105264762,
        4.859648155271941,
        4.85966820527912,
        4.859688255286299,
        4.859708305293478,
        4.859728355300658,
        4.859748405307836,
        4.859768455315016,
        4.859788505322196,
        4.859808555329374,
        4.859828605336553,
        4.859848655343732,
        4.859868705350911,
        4.8598887553580905,
        4.8599088053652695,
        4.859928855372449,
        4.859948905379628,
        4.859968955386806,
        4.859989005393986,
        4.860009055401164,
        4.860029105408344,
        4.860049155415524,
        4.860069205422702,
        4.860089255429882,
        4.86010930543706,
        4.86012935544424,
        4.860149405451419,
        4.860169455458598,
        4.860189505465778,
        4.860209555472957,
        4.860229605480136,
        4.860249655487315,
        4.860269705494493,
        4.860289755501673,
        4.8603098055088525,
        4.8603298555160315,
        4.8603499055232104,
        4.860369955530389,
        4.860390005537568,
        4.860410055544747,
        4.860430105551926,
        4.860450155559106,
        4.860470205566284,
        4.860490255573464,
        4.860510305580644,
        4.860530355587822,
        4.860550405595001,
        4.860570455602181,
        4.86059050560936,
        4.860610555616539,
        4.860630605623718,
        4.860650655630898,
        4.860670705638077,
        4.860690755645255,
        4.860710805652435,
        4.860730855659614,
        4.860750905666793,
        4.860770955673972,
        4.8607910056811505,
        4.8608110556883295,
        4.860831105695509,
        4.860851155702688,
        4.860871205709868,
        4.860891255717046,
        4.860911305724226,
        4.860931355731405,
        4.860951405738583,
        4.860971455745763,
        4.860991505752942,
        4.861011555760121,
        4.861031605767301,
        4.86105165577448,
        4.861071705781659,
        4.861091755788837,
        4.861111805796017,
        4.861131855803197,
        4.861151905810375,
        4.861171955817555,
        4.861192005824734,
        4.861212055831912,
        4.8612321058390915,
        4.8612521558462705,
        4.86127220585345,
        4.861292255860629,
        4.861312305867808,
        4.861332355874988,
        4.861352405882165,
        4.861372455889345,
        4.861392505896525,
        4.861412555903704,
        4.861432605910883,
        4.861452655918063,
        4.861472705925242,
        4.86149275593242,
        4.861512805939599,
        4.861532855946779,
        4.861552905953958,
        4.861572955961137,
        4.861593005968317,
        4.8616130559754955,
        4.861633105982674,
        4.8616531559898535,
        4.8616732059970325,
        4.861693256004211,
        4.86171330601139,
        4.86173335601857,
        4.861753406025749,
        4.861773456032927,
        4.861793506040107,
        4.861813556047287,
        4.861833606054465,
        4.861853656061645,
        4.861873706068824,
        4.861893756076003,
        4.861913806083182,
        4.861933856090361,
        4.86195390609754,
        4.861973956104719,
        4.861994006111899,
        4.8620140561190786,
        4.862034106126257,
        4.862054156133436,
        4.862074206140615,
        4.862094256147794,
        4.862114306154973,
        4.862134356162152,
        4.862154406169331,
        4.862174456176511,
        4.862535356305735,
        4.862555406312914,
        4.862575456320093,
        4.862595506327271,
        4.862615556334451,
        4.86263560634163,
        4.862655656348809,
        4.862675706355989,
        4.862695756363167,
        4.862715806370347,
        4.862735856377526,
        4.862755906384705,
        4.862775956391884,
        4.862796006399064,
        4.862816056406243,
        4.862836106413422,
        4.862856156420601,
        4.86287620642778,
        4.862896256434959,
        4.862916306442138,
        4.8629363564493175,
        4.8629564064564965,
        4.8629764564636755,
        4.862996506470855,
        4.863016556478033,
        4.863036606485212,
        4.863056656492392,
        4.863076706499571,
        4.863096756506751,
        4.863116806513929,
        4.863136856521109,
        4.863156906528288,
        4.863176956535466,
        4.863197006542646,
        4.863217056549825,
        4.863237106557004,
        4.863257156564184,
        4.863277206571363,
        4.863297256578542,
        4.86331730658572,
        4.8633373565929,
        4.8633574066000795,
        4.863377456607258,
        4.8633975066144375,
        4.863417556621617,
        4.8634376066287945,
        4.863457656635974,
        4.863477706643153,
        4.863497756650333,
        4.863517806657512,
        4.863537856664691,
        4.863557906671871,
        4.863577956679048,
        4.863598006686228,
        4.863618056693408,
        4.863638106700586,
        4.863658156707766,
        4.863678206714946,
        4.863698256722125,
        4.863718306729303,
        4.863738356736482,
        4.863758406743662,
        4.863778456750841,
        4.86379850675802,
        4.8638185567651995,
        4.863838606772378,
        4.8638586567795565,
        4.863878706786736,
        4.863898756793915,
        4.863918806801094,
        4.863938856808273,
        4.863958906815453,
        4.863978956822632,
        4.86399900682981,
        4.86401905683699,
        4.86403910684417,
        4.864059156851348,
        4.864079206858528,
        4.864099256865707,
        4.864119306872885,
        4.864139356880065,
        4.864159406887244,
        4.864179456894423,
        4.864199506901602,
        4.864219556908782,
        4.8642396069159615,
        4.864259656923139,
        4.8642797069303185,
        4.8642997569374975,
        4.8643198069446765,
        4.864339856951856,
        4.864359906959035,
        4.864379956966214,
        4.864400006973393,
        4.864420056980572,
        4.864440106987752,
        4.86446015699493,
        4.86448020700211,
        4.86450025700929,
        4.864520307016468,
        4.864540357023647,
        4.864560407030826,
        4.864580457038005,
        4.864600507045185,
        4.864620557052364,
        4.864640607059544,
        4.864660657066723,
        4.864680707073901,
        4.8647007570810805,
        4.864720807088259,
        4.8647408570954385,
        4.864760907102618,
        4.864780957109796,
        4.864801007116976,
        4.864821057124154,
        4.864841107131334,
        4.864861157138513,
        4.864881207145692,
        4.864901257152872,
        4.86492130716005,
        4.86494135716723,
        4.864961407174409,
        4.864981457181588,
        4.865001507188767,
        4.865021557195947,
        4.865041607203126,
        4.865061657210305,
        4.865081707217484,
        4.865101757224663,
        4.865121807231842,
        4.865141857239021,
        4.8651619072462005,
        4.865181957253379,
        4.865202007260558,
        4.865222057267738,
        4.865242107274916,
        4.865262157282095,
        4.865282207289274,
        4.865302257296454,
        4.865322307303633,
        4.865342357310812,
        4.865362407317992,
        4.865382457325171,
        4.865402507332349,
        4.865422557339529,
        4.865442607346708,
        4.865462657353887,
        4.865482707361067,
        4.865502757368246,
        4.865522807375424,
        4.865542857382603,
        4.865562907389783,
        4.8655829573969624,
        4.8656030074041405,
        4.86562305741132,
        4.8656431074185,
        4.8656631574256775,
        4.865683207432857,
        4.865703257440036,
        4.865723307447216,
        4.865743357454395,
        4.865763407461574,
        4.865783457468753,
        4.865803507475931,
        4.865823557483111,
        4.866164407605156,
        4.866184457612336,
        4.866204507619514,
        4.866224557626693,
        4.866244607633873,
        4.866264657641052,
        4.866284707648231,
        4.866304757655411,
        4.86632480766259,
        4.866344857669768,
        4.866364907676948,
        4.866384957684127,
        4.866405007691306,
        4.866425057698485,
        4.8664451077056645,
        4.8664651577128435,
        4.866485207720022,
        4.866505257727201,
        4.86652530773438,
        4.866545357741559,
        4.866565407748739,
        4.866585457755918,
        4.866605507763097,
        4.866625557770276,
        4.866645607777455,
        4.866665657784635,
        4.866685707791813,
        4.866705757798993,
        4.866725807806173,
        4.866745857813351,
        4.86676590782053,
        4.866785957827709,
        4.866806007834888,
        4.866826057842068,
        4.866846107849247,
        4.8668661578564265,
        4.8668862078636055,
        4.866906257870784,
        4.866926307877963,
        4.8669463578851415,
        4.866966407892321,
        4.866986457899501,
        4.867006507906679,
        4.867026557913859,
        4.867046607921037,
        4.867066657928217,
        4.867086707935396,
        4.867106757942575,
        4.867126807949755,
        4.867146857956933,
        4.867166907964112,
        4.867186957971292,
        4.86720700797847,
        4.86722705798565,
        4.86724710799283,
        4.867267158000009,
        4.867287208007188,
        4.867307258014367,
        4.867327308021546,
        4.8673473580287245,
        4.8673674080359035,
        4.867387458043083,
        4.867407508050262,
        4.867427558057441,
        4.86744760806462,
        4.867467658071799,
        4.867487708078978,
        4.867507758086157,
        4.867527808093337,
        4.867547858100516,
        4.867567908107695,
        4.867587958114874,
        4.867608008122054,
        4.867628058129232,
        4.867648108136412,
        4.867668158143591,
        4.86768820815077,
        4.86770825815795,
        4.867728308165128,
        4.867748358172307,
        4.867768408179486,
        4.8677884581866655,
        4.867808508193845,
        4.8678285582010234,
        4.867848608208203,
        4.867868658215382,
        4.86788870822256,
        4.86790875822974,
        4.867928808236919,
        4.867948858244098,
        4.867968908251278,
        4.867988958258457,
        4.868009008265636,
        4.868029058272814,
        4.868049108279994,
        4.868069158287174,
        4.868089208294352,
        4.868109258301532,
        4.868129308308711,
        4.868149358315889,
        4.868169408323069,
        4.868189458330248,
        4.8682095083374275,
        4.8682295583446065,
        4.868249608351785,
        4.868269658358965,
        4.8682897083661425,
        4.868309758373322,
        4.868329808380502,
        4.868349858387681,
        4.86836990839486,
        4.868389958402039,
        4.868410008409219,
        4.868430058416397,
        4.868450108423576,
        4.868470158430756,
        4.868490208437935,
        4.868510258445114,
        4.868530308452294,
        4.868550358459473,
        4.868570408466651,
        4.868590458473831,
        4.86861050848101,
        4.868630558488189,
        4.868650608495368,
        4.868670658502547,
        4.868690708509726,
        4.8687107585169045,
        4.868730808524084,
        4.868750858531263,
        4.868770908538442,
        4.868790958545622,
        4.868811008552801,
        4.868831058559979,
        4.868851108567159,
        4.868871158574338,
        4.868891208581517,
        4.868911258588696,
        4.868931308595876,
        4.868951358603056,
        4.868971408610234,
        4.868991458617413,
        4.869011508624592,
        4.869031558631771,
        4.869051608638951,
        4.86907165864613,
        4.8690917086533085,
        4.869111758660487,
        4.8691318086676665,
        4.869151858674846,
        4.869171908682024,
        4.869191958689204,
        4.869212008696384,
        4.869232058703562,
        4.869252108710742,
        4.86927215871792,
        4.8692922087251,
        4.869312258732279,
        4.869332308739458,
        4.869352358746638,
        4.869372408753816,
        4.869392458760995,
        4.869412508768175,
        4.869432558775353,
        4.869452608782533,
        4.869472658789713,
        4.8694927087968916,
        4.869853608926115,
        4.869873658933295,
        4.869893708940474,
        4.869913758947653,
        4.8699338089548325,
        4.869953858962011,
        4.86997390896919,
        4.8699939589763686,
        4.870014008983548,
        4.870034058990728,
        4.870054108997906,
        4.870074159005086,
        4.870094209012264,
        4.870114259019443,
        4.870134309026623,
        4.870154359033802,
        4.870174409040981,
        4.870194459048161,
        4.87021450905534,
        4.870234559062519,
        4.870254609069697,
        4.870274659076877,
        4.870294709084057,
        4.870314759091235,
        4.870334809098415,
        4.870354859105594,
        4.870374909112772,
        4.874465110577315,
        4.87891621217108,
        4.878936262178259,
        4.878956312185438,
        4.878976362192617,
        4.878996412199795,
        4.879016462206975,
        4.879036512214155,
        4.879056562221334,
        4.879076612228513,
        4.879096662235692,
        4.879116712242871,
        4.87913676225005,
        4.879156812257229,
        4.8791768622644085,
        4.8791969122715875,
        4.8792169622787664,
        4.879237012285945,
        4.879257062293124,
        4.879277112300303,
        4.879297162307483,
        4.879317212314662,
        4.879337262321841,
        4.879357312329021,
        4.879377362336199,
        4.879397412343378,
        4.879417462350557,
        4.879437512357737,
        4.879457562364917,
        4.879477612372095,
        4.879497662379275,
        4.879517712386453,
        4.879537762393632,
        4.879557812400812,
        4.879577862407991,
        4.8795979124151705,
        4.879617962422349,
        4.879638012429528,
        4.879658062436707,
        4.8796781124438855,
        4.879698162451065,
        4.879718212458245,
        4.879738262465423,
        4.879758312472603,
        4.879778362479782,
        4.879798412486961,
        4.87981846249414,
        4.879838512501319,
        4.879858562508499,
        4.879878612515677,
        4.879898662522857,
        4.879918712530037,
        4.879938762537214,
        4.879958812544394,
        4.879978862551573,
        4.879998912558753,
        4.880018962565932,
        4.880039012573111,
        4.88005906258029,
        4.8800791125874685,
        4.8800991625946475,
        4.880119212601827,
        4.880139262609005,
        4.880159312616185,
        4.880179362623365,
        4.880199412630543,
        4.880219462637722,
        4.880239512644901,
        4.880259562652081,
        4.88027961265926,
        4.880299662666439,
        4.880319712673619,
        4.880339762680799,
        4.880359812687976,
        4.880379862695156,
        4.880399912702335,
        4.880419962709514,
        4.880440012716694,
        4.880760812831558,
        4.880780862838738,
        4.880800912845918,
        4.880820962853096,
        4.880841012860276,
        4.880861062867455,
        4.880881112874634,
        4.880901162881813,
        4.880921212888992,
        4.8809412628961715,
        4.88096131290335,
        4.880981362910529,
        4.881001412917709,
        4.881021462924887,
        4.881041512932066,
        4.881061562939246,
        4.881081612946424,
        4.881101662953604,
        4.881121712960783,
        4.881141762967963,
        4.881161812975142,
        4.88118186298232,
        4.8812019129895,
        4.881221962996678,
        4.881242013003858,
        4.881262063011038,
        4.881282113018217,
        4.881302163025396,
        4.881322213032575,
        4.881342263039754,
        4.881362313046933,
        4.8813823630541116,
        4.881402413061291,
        4.88142246306847,
        4.881442513075649,
        4.881462563082828,
        4.881482613090007,
        4.881502663097186,
        4.881522713104366,
        4.881542763111545,
        4.881562813118724,
        4.881582863125903,
        4.881602913133082,
        4.881622963140261,
        4.88164301314744,
        4.88166306315462,
        4.8816831131618,
        4.881703163168978,
        4.881723213176158,
        4.881743263183336,
        4.881763313190515,
        4.881783363197695,
        4.8818034132048735,
        4.8818234632120525,
        4.8818435132192315,
        4.881863563226411,
        4.88188361323359,
        4.881903663240768,
        4.881923713247948,
        4.881943763255128,
        4.881963813262306,
        4.881983863269486,
        4.882003913276665,
        4.882023963283844,
        4.882044013291023,
        4.882064063298202,
        4.882084113305382,
        4.88210416331256,
        4.88212421331974,
        4.882144263326919,
        4.882164313334097,
        4.882184363341277,
        4.882204413348456,
        4.8822244633556355,
        4.8822445133628145,
        4.8822645633699935,
        4.8822846133771725,
        4.882304663384351,
        4.88232471339153,
        4.88234476339871,
        4.882364813405888,
        4.882384863413068,
        4.882404913420248,
        4.882424963427426,
        4.882445013434605,
        4.882465063441784,
        4.882485113448964,
        4.882505163456143,
        4.882525213463322,
        4.882545263470502,
        4.882565313477679,
        4.882585363484859,
        4.882605413492039,
        4.882625463499218,
        4.882645513506397,
        4.8826655635135765,
        4.8826856135207555,
        4.882705663527934,
        4.8827257135351125,
        4.882745763542292,
        4.882765813549471,
        4.88278586355665,
        4.88280591356383,
        4.882825963571009,
        4.882846013578187,
        4.882866063585367,
        4.882886113592546,
        4.882906163599725,
        4.882926213606905,
        4.882946263614084,
        4.882966313621264,
        4.882986363628441,
        4.883006413635621,
        4.883026463642801,
        4.883046513649979,
        4.883066563657159,
        4.883086613664338,
        4.883106663671517,
        4.8831267136786956,
        4.8831467636858745,
        4.883166813693054,
        4.8831868637002325,
        4.883206913707412,
        4.883226963714592,
        4.88324701372177,
        4.883267063728949,
        4.883287113736129,
        4.883307163743307,
        4.883327213750487,
        4.883347263757666,
        4.883367313764846,
        4.883387363772025,
        4.883407413779203,
        4.883427463786383,
        4.883447513793561,
        4.883467563800741,
        4.883487613807921,
        4.883507663815099,
        4.883527713822279,
        4.8835477638294575,
        4.8835678138366365,
        4.8835878638438155,
        4.8836079138509945,
        4.883627963858174,
        4.883648013865353,
        4.883668063872532,
        4.883688113879711,
        4.883708163886889,
        4.883728213894069,
        4.883748263901249,
        4.883768313908428,
        4.883788363915607,
        4.883808413922785,
        4.883828463929965,
        4.883848513937144,
        4.883868563944323,
        4.883888613951503,
        4.884369814123802,
        4.88438986413098,
        4.88440991413816,
        4.884429964145339,
        4.884450014152518,
        4.884470064159697,
        4.884490114166876,
        4.884510164174055,
        4.884530214181234,
        4.884550264188413,
        4.884570314195593,
        4.884590364202771,
        4.884610414209951,
        4.884630464217131,
        4.884650514224309,
        4.884670564231488,
        4.884690614238667,
        4.884710664245847,
        4.884730714253026,
        4.884750764260205,
        4.884770814267385,
        4.884790864274562,
        4.884810914281742,
        4.884830964288922,
        4.884851014296101,
        4.8848710643032796,
        4.884891114310459,
        4.884911164317638,
        4.8849312143248165,
        4.8849512643319954,
        4.884971314339175,
        4.884991364346354,
        4.885011414353533,
        4.885031464360713,
        4.885051514367892,
        4.88507156437507,
        4.88509161438225,
        4.885111664389429,
        4.885131714396608,
        4.885151764403788,
        4.885171814410967,
        4.885191864418146,
        4.885211914425324,
        4.885231964432504,
        4.885252014439684,
        4.885272064446862,
        4.8852921144540415,
        4.8853121644612205,
        4.8853322144683995,
        4.8853522644755785,
        4.885372314482757,
        4.885392364489936,
        4.885412414497115,
        4.885432464504295,
        4.885452514511475,
        4.885472564518652,
        4.885492614525832,
        4.885512664533012,
        4.88553271454019,
        4.88555276454737,
        4.885572814554549,
        4.885592864561729,
        4.885612914568907,
        4.885632964576086,
        4.885653014583266,
        4.885673064590444,
        4.885693114597624,
        4.8857131646048035,
        4.885733214611982,
        4.885753264619161,
        4.88577331462634,
        4.885793364633519,
        4.885813414640698,
        4.885833464647877,
        4.885853514655057,
        4.885873564662236,
        4.885893614669414,
        4.885913664676594,
        4.885933714683772,
        4.885953764690952,
        4.885973814698132,
        4.885993864705311,
        4.88601391471249,
        4.886033964719668,
        4.886054014726848,
        4.886074064734027,
        4.886094114741206,
        4.886114164748386,
        4.886134214755565,
        4.886154264762744,
        4.886174314769923,
        4.886194364777102,
        4.8862144147842805,
        4.88623446479146,
        4.886254514798639,
        4.886755764978117,
        4.886775814985296,
        4.886795864992476,
        4.886815914999654,
        4.886835965006834,
        4.886856015014014,
        4.886876065021191,
        4.886896115028371,
        4.88691616503555,
        4.88693621504273,
        4.886956265049909,
        4.886976315057088,
        4.886996365064268,
        4.887016415071445,
        4.887036465078625,
        4.8870565150858045,
        4.887076565092983,
        4.8870966151001625,
        4.887116665107342,
        4.88713671511452,
        4.887156765121699,
        4.887176815128878,
        4.887196865136058,
        4.887216915143237,
        4.887236965150416,
        4.887257015157596,
        4.887277065164774,
        4.887297115171953,
        4.887317165179133,
        4.887337215186312,
        4.887357265193491,
        4.887377315200671,
        4.88739736520785,
        4.887417415215028,
        4.887437465222207,
        4.887457515229387,
        4.8874775652365665,
        4.887497615243745,
        4.8875176652509245,
        4.887537715258103,
        4.8875577652652815,
        4.887577815272461,
        4.88759786527964,
        4.887617915286819,
        4.887637965293998,
        4.887658015301178,
        4.887678065308358,
        4.887698115315535,
        4.887718165322715,
        4.8879387154016865,
        4.8879587654088645,
        4.8879788154160435,
        4.8879988654232225,
        4.888018915430402,
        4.888038965437581,
        4.88805901544476,
        4.88807906545194,
        4.888099115459119,
        4.888119165466297,
        4.888139215473477,
        4.888159265480655,
        4.888179315487835,
        4.888199365495015,
        4.888219415502194,
        4.888239465509373,
        4.888259515516551,
        4.888279565523731,
        4.88829961553091,
        4.888319665538089,
        4.888339715545269,
        4.8883597655524476,
        4.8883798155596265,
        4.8883998655668055,
        4.8884199155739845,
        4.8884399655811634,
        4.888460015588343,
        4.888480065595522,
        4.888500115602701,
        4.888520165609879,
        4.888540215617059,
        4.888560265624238,
        4.888580315631417,
        4.888600365638597,
        4.888620415645776,
        4.888640465652955,
        4.888660515660135,
        4.888680565667313,
        4.888700615674492,
        4.888720665681672,
        4.888740715688851,
        4.88876076569603,
        4.888780815703209,
        4.888800865710388,
        4.8888209157175675,
        4.888840965724746,
        4.888861015731925,
        4.888881065739104,
        4.888901115746283,
        4.888921165753463,
        4.888941215760641,
        4.888961265767821,
        4.888981315775,
        4.889001365782179,
        4.889021415789359,
        4.889041465796537,
        4.889061515803717,
        4.889081565810896,
        4.889101615818074,
        4.889121665825254,
        4.889141715832433,
        4.889161765839613,
        4.889181815846792,
        4.889201865853971,
        4.88922191586115,
        4.889241965868328,
        4.889262015875508,
        4.889282065882687,
        4.8893021158898655,
        4.889322165897045,
        4.889342215904225,
        4.889362265911403,
        4.889382315918582,
        4.889402365925761,
        4.889422415932941,
        4.88944246594012,
        4.889462515947299,
        4.889482565954479,
        4.889502615961656,
        4.889522665968836,
        4.889542715976016,
        4.889562765983195,
        4.889582815990374,
        4.889602865997554,
        4.889622916004733,
        4.889642966011911,
        4.88966301601909,
        4.88968306602627,
        4.8897031160334485,
        4.8897231660406275,
        4.889743216047807,
        4.889763266054986,
        4.889783316062164,
        4.889803366069344,
        4.889823416076523,
        4.889843466083702,
        4.889863516090881,
        4.889883566098061,
        4.889903616105241,
        4.889923666112418,
        4.889943716119598,
        4.889963766126778,
        4.889983816133956,
        4.890003866141136,
        4.890023916148315,
        4.890043966155494,
        4.890064016162673,
        4.890084066169852,
        4.890104116177032,
        4.89012416618421,
        4.8901442161913895,
        4.890164266198569,
        4.890184316205747,
        4.890204366212926,
        4.890224416220105,
        4.890244466227284,
        4.890264516234464,
        4.890284566241643,
        4.890304616248823,
        4.890324666256002,
        4.89034471626318,
        4.89036476627036,
        4.890384816277538,
        4.890404866284718,
        4.890424916291898,
        4.890444966299076,
        4.890465016306255,
        4.890485066313434,
        4.890505116320614,
        4.890525166327793,
        4.890545216334972,
        4.8905652663421515,
        4.8905853163493305,
        4.8906053663565086,
        4.890625416363688,
        4.890645466370867,
        4.890665516378046,
        4.890685566385226,
        4.890705616392405,
        4.890725666399584,
        4.890745716406762,
        4.890765766413942,
        4.890785816421121,
        4.891136691546756,
        4.891888566815973,
        4.8919086168231525,
        4.8919286668303315,
        4.89194871683751,
        4.89196876684469,
        4.891988816851869,
        4.892008866859047,
        4.892028916866227,
        4.892048966873406,
        4.892069016880585,
        4.892089066887764,
        4.892109116894944,
        4.892129166902122,
        4.892149216909301,
        4.892169266916481,
        4.892449967016988,
        4.893171767275438,
        4.8931918172826165,
        4.8932118672897955,
        4.893512617397482,
        4.893532667404662,
        4.89355271741184,
        4.89357276741902,
        4.893592817426199,
        4.893612867433378,
        4.8936329174405575,
        4.893652967447736,
        4.8936730174549155,
        4.8936930674620935,
        4.893713117469273,
        4.893733167476453,
        4.893753217483631,
        4.893773267490811,
        4.89379331749799,
        4.893813367505168,
        4.893833417512348,
        4.893853467519527,
        4.893873517526707,
        4.893893567533886,
        4.893913617541065,
        4.893933667548244,
        4.893953717555422,
        4.893973767562602,
        4.893993817569782,
        4.89401386757696,
        4.89403391758414,
        4.894053967591319,
        4.894074017598498,
        4.894094067605677,
        4.8941141176128555,
        4.894134167620035,
        4.894154217627214,
        4.894174267634393,
        4.894194317641573,
        4.894214367648751,
        4.89423441765593,
        4.89425446766311,
        4.894274517670289,
        4.894294567677468,
        4.894314617684647,
        4.894334667691827,
        4.894354717699005,
        4.894374767706184,
        4.894394817713364,
        4.894414867720544,
        4.894434917727722,
        4.894454967734902,
        4.894475017742081,
        4.894495067749259,
        4.8945151177564385,
        4.8945351677636175,
        4.8945552177707965,
        4.8945752677779755,
        4.894595317785155,
        4.894615367792335,
        4.894635417799512,
        4.894655467806692,
        4.894675517813871,
        4.89469556782105,
        4.89471561782823,
        4.894735667835409,
        4.894755717842588,
        4.894775767849767,
        4.894795817856946,
        4.894815867864126,
        4.894835917871304,
        4.894855967878484,
        4.894876017885664,
        4.894896067892842,
        4.894916117900021,
        4.8949361679072,
        4.8949562179143795,
        4.8949762679215585,
        4.8949963179287375,
        4.895116617971812,
        4.895136667978992,
        4.895156717986171,
        4.895176767993349,
        4.895196818000528,
        4.895216868007708,
        4.895236918014887,
        4.895256968022066,
        4.895277018029246,
        4.895297068036424,
        4.895317118043603,
        4.895337168050783,
        4.895357218057962,
        4.895377268065141,
        4.8953973180723205,
        4.8954173680794995,
        4.895437418086678,
        4.8954574680938565,
        4.895477518101036,
        4.895497568108215,
        4.895517618115394,
        4.895537668122574,
        4.895557718129753,
        4.895577768136932,
        4.895597818144111,
        4.89561786815129,
        4.895637918158469,
        4.895657968165648,
        4.895678018172828,
        4.895698068180007,
        4.895718118187186,
        4.895738168194365,
        4.895758218201545,
        4.895778268208723,
        4.895798318215903,
        4.895818368223082,
        4.895838418230261,
        4.89585846823744,
        4.8958785182446185,
        4.895898568251798,
        4.8959186182589765,
        4.895938668266156,
        4.895958718273336,
        4.895978768280514,
        4.895998818287694,
        4.896018868294872,
        4.896038918302051,
        4.896058968309231,
        4.89607901831641,
        4.89609906832359,
        4.896119118330769,
        4.896139168337948,
        4.896159218345127,
        4.896179268352305,
        4.896199318359485,
        4.896219368366665,
        4.896239418373843,
        4.8962594683810226,
        4.8962795183882015,
        4.8962995683953805,
        4.8963196184025595,
        4.896339668409738,
        4.896359718416918,
        4.896379768424097,
        4.896399818431276,
        4.896419868438456,
        4.896439918445633,
        4.896459968452813,
        4.896480018459993,
        4.896500068467172,
        4.896520118474351,
        4.89654016848153,
        4.89656021848871,
        4.896580268495888,
        4.896600318503067,
        4.896620368510247,
        4.896640418517426,
        4.896660468524605,
        4.8966805185317845,
        4.8967005685389635,
        4.896720618546142,
        4.8967406685533215,
        4.8967607185605,
        4.896780768567679,
        4.896800818574858,
        4.896820868582038,
        4.896840918589217,
        4.896860968596395,
        4.896881018603575,
        4.896901068610754,
        4.896921118617933,
        4.896941168625113,
        4.896961218632292,
        4.89698126863947,
        4.89700131864665,
        4.897021368653829,
        4.897041418661009,
        4.897061468668187,
        4.897081518675367,
        4.8971015686825465,
        4.897121618689724,
        4.897141668696904,
        4.897161718704083,
        4.8971817687112615,
        4.897201818718441,
        4.89722186872562,
        4.8972419187328,
        4.897261968739977,
        4.897282018747157,
        4.897302068754337,
        4.897322118761515,
        4.897342168768695,
        4.897362218775875,
        4.897382268783053,
        4.897402318790232,
        4.897422368797411,
        4.897442418804591,
        4.89746246881177,
        4.897482518818949,
        4.897502568826129,
        4.897522618833307,
        4.897542668840486,
        4.897562718847666,
        4.897582768854845,
        4.8976028188620235,
        4.897622868869203,
        4.897642918876382,
        4.897662968883561,
        4.897683018890739,
        4.897703068897919,
        4.897723118905098,
        4.897743168912277,
        4.897763218919457,
        4.897783268926636,
        4.897803318933815,
        4.897823368940994,
        4.897843418948173,
        4.897863468955352,
        4.897883518962531,
        4.897903568969711,
        4.89792361897689,
        4.898655444238927,
        4.899868469673265,
        4.899888519680443,
        4.899908569687622,
        4.899928619694802,
        4.899948669701981,
        4.89996871970916,
        4.89998876971634,
        4.900008819723518,
        4.900028869730698,
        4.900048919737877,
        4.900068969745056,
        4.900089019752235,
        4.900109069759414,
        4.900129119766594,
        4.900149169773773,
        4.900169219780951,
        4.900189269788131,
        4.9002093197953105,
        4.900229369802489,
        4.900249419809668,
        4.900269469816847,
        4.900289519824026,
        4.900309569831205,
        4.900329619838384,
        4.900349669845563,
        4.900369719852742,
        4.900389769859922,
        4.900409819867102,
        4.90042986987428,
        4.900449919881459,
        4.900469969888638,
        4.900490019895817,
        4.900510069902997,
        4.900530119910176,
        4.900550169917355,
        4.900570219924535,
        4.900590269931713,
        4.900610319938893,
        4.900630369946071,
        4.900650419953251,
        4.90067046996043,
        4.9006905199676085,
        4.900710569974788,
        4.9007306199819665,
        4.900750669989145,
        4.900770719996325,
        4.900790770003504,
        4.900810820010684,
        4.900830870017863,
        4.900850920025042,
        4.900870970032221,
        4.900891020039399,
        4.900911070046579,
        4.900931120053759,
        4.900951170060938,
        4.900971220068117,
        4.900991270075296,
        4.901011320082475,
        4.901031370089654,
        4.901051420096833,
        4.901071470104013,
        4.901091520111191,
        4.9011115701183705,
        4.90113162012555,
        4.9011516701327285,
        4.901171720139907,
        4.901191770147087,
        4.901211820154266,
        4.901231870161445,
        4.901251920168624,
        4.901271970175804,
        4.901292020182982,
        4.901312070190161,
        4.901332120197341,
        4.90135217020452,
        4.901372220211699,
        4.901392270218879,
        4.901412320226058,
        4.901432370233236,
        4.901452420240415,
        4.901472470247595,
        4.901492520254774,
        4.901512570261953,
        4.9015326202691325,
        4.901552670276312,
        4.90157272028349,
        4.901592770290669,
        4.901612820297848,
        4.901632870305027,
        4.901652920312207,
        4.901672970319386,
        4.901693020326565,
        4.901713070333743,
        4.901733120340923,
        4.901753170348103,
        4.901773220355281,
        4.901793270362461,
        4.901813320369641,
        4.901833370376818,
        4.901853420383998,
        4.901873470391177,
        4.901893520398357,
        4.901913570405536,
        4.901933620412715,
        4.9019536704198945,
        4.901973720427073,
        4.9019937704342516,
        4.902013820441431,
        4.9020338704486095,
        4.902053920455789,
        4.902073970462968,
        4.902094020470148,
        4.902114070477326,
        4.902134120484505,
        4.902154170491685,
        4.902174220498864,
        4.902194270506043,
        4.902214320513223,
        4.902234370520401,
        4.90225442052758,
        4.90227447053476,
        4.902294520541939,
        4.902314570549118,
        4.902334620556297,
        4.902354670563477,
        4.902374720570656,
        4.902394770577834,
        4.9024148205850135,
        4.9024348705921925,
        4.9024549205993715,
        4.902474970606551,
        4.90249502061373,
        4.902515070620909,
        4.902535120628088,
        4.902555170635267,
        4.902575220642446,
        4.902595270649625,
        4.902615320656805,
        4.902635370663985,
        4.902655420671163,
        4.902675470678342,
        4.902695520685521,
        4.9027155706927,
        4.90273562069988,
        4.902755670707059,
        4.902775720714238,
        4.902795770721418,
        4.902815820728596,
        4.9028358707357755,
        4.902855920742954,
        4.9028759707501335,
        4.902896020757313,
        4.902916070764491,
        4.902936120771671,
        4.902956170778849,
        4.902976220786028,
        4.902996270793208,
        4.903016320800387,
        4.903036370807567,
        4.903056420814746,
        4.903076470821925,
        4.903096520829104,
        4.903116570836282,
        4.903136620843462,
        4.903156670850642,
        4.90317672085782,
        4.903196770865,
        4.903216820872178,
        4.903236870879358,
        4.903256920886537,
        4.903276970893716,
        4.9032970209008955,
        4.903557670994224,
        4.903577721001403,
        4.903597771008582,
        4.903617821015762,
        4.90363787102294,
        4.903657921030119,
        4.903677971037298,
        4.903698021044478,
        4.903718071051657,
        4.9037381210588356,
        4.903758171066015,
        4.903778221073194,
        4.9037982710803725,
        4.903818321087552,
        4.903838371094731,
        4.90385842110191,
        4.90387847110909,
        4.903898521116269,
        4.903918571123447,
        4.903938621130626,
        4.903958671137806,
        4.903978721144986,
        4.903998771152164,
        4.904018821159344,
        4.904038871166524,
        4.904058921173701,
        4.904078971180881,
        4.90409902118806,
        4.904119071195239,
        4.904139121202419,
        4.9041591712095975,
        4.904179221216777,
        4.904199271223955,
        4.9042193212311345,
        4.904239371238314,
        4.904259421245492,
        4.904279471252672,
        4.904299521259851,
        4.90431957126703,
        4.904339621274209,
        4.904359671281388,
        4.904379721288568,
        4.904399771295747,
        4.904419821302926,
        4.904439871310106,
        4.904459921317284,
        4.904479971324463,
        4.904500021331643,
        4.904520071338822,
        4.904540121346001,
        4.90456017135318,
        4.9045802213603595,
        4.9046002713675385,
        4.904620321374717,
        4.9046403713818965,
        4.904660421389075,
        4.904680471396254,
        4.904700521403434,
        4.904720571410613,
        4.904740621417792,
        4.904760671424971,
        4.90478072143215,
        4.904800771439329,
        4.904820821446508,
        4.904840871453688,
        4.904860921460867,
        4.904880971468045,
        4.904901021475225,
        4.904921071482404,
        4.904941121489583,
        4.904961171496763,
        4.904981221503942,
        4.905001271511121,
        4.9050213215183005,
        4.905041371525479,
        4.905061421532658,
        4.9050814715398365,
        4.905101521547016,
        4.905121571554196,
        4.905141621561374,
        4.905161671568553,
        4.905582721719315,
        4.905602771726493,
        4.905622821733673,
        4.905642871740853,
        4.905662921748032,
        4.905682971755211,
        4.90570302176239,
        4.905723071769569,
        4.905743121776748,
        4.905763171783927,
        4.905783221791107,
        4.905803271798285,
        4.905823321805465,
        4.905843371812645,
        4.905863421819823,
        4.905883471827002,
        4.905903521834181,
        4.9059235718413605,
        4.9059436218485395,
        4.9059636718557185,
        4.905983721862898,
        4.906003771870076,
        4.906023821877255,
        4.906043871884435,
        4.906063921891614,
        4.906083971898793,
        4.906104021905973,
        4.906124071913152,
        4.90614412192033,
        4.906164171927509,
        4.906184221934689,
        4.906204271941869,
        4.906224321949047,
        4.906244371956227,
        4.906264421963405,
        4.906284471970584,
        4.906304521977764,
        4.906324571984943,
        4.906344621992122,
        4.9063646719993015,
        4.9063847220064805,
        4.90640477201366,
        4.9064248220208375,
        4.906444872028017,
        4.906464922035197,
        4.906484972042375,
        4.906505022049555,
        4.906525072056734,
        4.906545122063912,
        4.906565172071092,
        4.906585222078271,
        4.906605272085451,
        4.90662532209263,
        4.906645372099809,
        4.906665422106989,
        4.906685472114167,
        4.906705522121346,
        4.906725572128526,
        4.906745622135704,
        4.906765672142884,
        4.906785722150063,
        4.9068057721572425,
        4.9068258221644205,
        4.9068458721715995,
        4.906865922178779,
        4.9068859721859575,
        4.906906022193137,
        4.906926072200317,
        4.906946122207496,
        4.906966172214674,
        4.906986222221854,
        4.907006272229033,
        4.907026322236212,
        4.907046372243391,
        4.907066422250571,
        4.90708647225775,
        4.907106522264928,
        4.907126572272108,
        4.907146622279287,
        4.907166672286466,
        4.907186722293646,
        4.907206772300825,
        4.9072268223080036,
        4.907246872315183,
        4.9072669223223615,
        4.9072869723295405,
        4.9073070223367194,
        4.907327072343899,
        4.907347122351079,
        4.907367172358257,
        4.907387222365436,
        4.907407272372615,
        4.907427322379794,
        4.907447372386974,
        4.907467422394153,
        4.907487472401332,
        4.907507522408511,
        4.90752757241569,
        4.90754762242287,
        4.907567672430048,
        4.907587722437228,
        4.907607772444408,
        4.907627822451586,
        4.9076478724587655,
        4.907667922465944,
        4.911377173794082,
        4.9156077253088775,
        4.915627775316057,
        4.915647825323235,
        4.915667875330415,
        4.915687925337594,
        4.915707975344772,
        4.915728025351952,
        4.915748075359131,
        4.915768125366311,
        4.915788175373489,
        4.915808225380669,
        4.915828275387849,
        4.915848325395026,
        4.915868375402206,
        4.915888425409386,
        4.915908475416564,
        4.915928525423744,
        4.915948575430923,
        4.915968625438102,
        4.915988675445281,
        4.91600872545246,
        4.9160287754596395,
        4.9160488254668175,
        4.916068875473997,
        4.916088925481177,
        4.916108975488355,
        4.916129025495534,
        4.916149075502713,
        4.916169125509893,
        4.916189175517072,
        4.916209225524251,
        4.916229275531431,
        4.916249325538609,
        4.916269375545788,
        4.916289425552968,
        4.916810725739625,
        4.916830775746804,
        4.916850825753983,
        4.9168708757611626,
        4.9168909257683415,
        4.916910975775521,
        4.9169310257826995,
        4.916951075789879,
        4.916971125797058,
        4.916991175804236,
        4.917011225811416,
        4.917031275818595,
        4.917051325825774,
        4.917071375832954,
        4.917091425840132,
        4.917111475847312,
        4.91713152585449,
        4.91715157586167,
        4.91717162586885,
        4.917191675876028,
        4.917211725883208,
        4.917231775890387,
        4.917251825897566,
        4.917271875904745,
        4.917291925911924,
        4.9173119759191035,
        4.9173320259262825,
        4.9173520759334615,
        4.91737212594064,
        4.9173921759478185,
        4.917412225954998,
        4.917432275962178,
        4.917452325969357,
        4.917472375976536,
        4.917492425983716,
        4.917512475990894,
        4.917532525998073,
        4.917552576005252,
        4.917572626012432,
        4.917592676019611,
        4.91761272602679,
        4.91763277603397,
        4.917652826041148,
        4.917672876048327,
        4.917692926055507,
        4.917712976062686,
        4.917733026069865,
        4.917753076077044,
        4.9177731260842235,
        4.9177931760914015,
        4.9178132260985805,
        4.91783327610576,
        4.91785332611294,
        4.917873376120118,
        4.917893426127298,
        4.917913476134476,
        4.917933526141655,
        4.917953576148835,
        4.917973626156014,
        4.917993676163193,
        4.918013726170372,
        4.918033776177552,
        4.918053826184732,
        4.918073876191909,
        4.918093926199089,
        4.918113976206269,
        4.918134026213447,
        4.918154076220627,
        4.918174126227806,
        4.918194176234985,
        4.9182142262421635,
        4.9182342762493425,
        4.918254326256522,
        4.9182743762637005,
        4.91829442627088,
        4.91831447627806,
        4.918334526285238,
        4.918354576292417,
        4.918374626299596,
        4.918394676306776,
        4.918414726313955,
        4.918434776321134,
        4.918454826328314,
        4.918474876335492,
        4.918494926342671,
        4.918514976349851,
        4.918535026357029,
        4.918555076364209,
        4.918575126371389,
        4.918595176378568,
        4.918615226385746,
        4.918635276392925,
        4.9186553264001045,
        4.9186753764072835,
        4.9186954264144624,
        4.918715476421642,
        4.918735526428821,
        4.918755576435999,
        4.918775626443179,
        4.918795676450358,
        4.918815726457537,
        4.918835776464717,
        4.918855826471896,
        4.918875876479075,
        4.918895926486253,
        4.918915976493433,
        4.918936026500613,
        4.918956076507791,
        4.918976126514971,
        4.91899617652215,
        4.919016226529329,
        4.919036276536508,
        4.919056326543687,
        4.919076376550866,
        4.9190964265580455,
        4.919116476565224,
        4.919136526572404,
        4.919156576579582,
        4.919176626586761,
        4.919196676593941,
        4.919216726601119,
        4.919236776608299,
        4.919256826615478,
        4.919276876622657,
        4.919296926629836,
        4.919316976637015,
        4.919337026644195,
        4.919357076651373,
        4.919377126658553,
        4.919397176665733,
        4.919417226672911,
        4.919437276680091,
        4.91945732668727,
        4.919477376694448,
        4.919497426701628,
        4.919517476708807,
        4.919537526715986,
        4.919557576723165,
        4.9195776267303435,
        4.919597676737523,
        4.919617726744701,
        4.919637776751881,
        4.919657826759061,
        4.919677876766239,
        4.919697926773419,
        4.919717976780599,
        4.919738026787777,
        4.919758076794956,
        4.919778126802135,
        4.919798176809315,
        4.919818226816494,
        4.919838276823673,
        4.919858326830852,
        4.919878376838031,
        4.91989842684521,
        4.91991847685239,
        4.919938526859569,
        4.9199585768667475,
        4.9199786268739265,
        4.919998676881106,
        4.9200187268882845,
        4.920038776895463,
        4.920058826902643,
        4.920078876909823,
        4.920098926917001,
        4.920118976924181,
        4.920139026931359,
        4.920159076938538,
        4.920179126945718,
        4.920199176952897,
        4.920219226960076,
        4.920239276967255,
        4.920259326974435,
        4.920279376981614,
        4.920299426988792,
        4.920319476995972,
        4.920339527003152,
        4.92035957701033,
        4.9203796270175095,
        4.9203996770246885,
        4.920419727031867,
        4.9204397770390464,
        4.920900927204166,
        4.920920977211345,
        4.920941027218525,
        4.920961077225704,
        4.920981127232882,
        4.921001177240062,
        4.921021227247241,
        4.92104127725442,
        4.9210613272616,
        4.921081377268779,
        4.921101427275958,
        4.921121477283136,
        4.921141527290316,
        4.921161577297495,
        4.921181627304674,
        4.921201677311854,
        4.921221727319033,
        4.921241777326211,
        4.921261827333391,
        4.9212818773405695,
        4.9213019273477485,
        4.921321977354928,
        4.921342027362107,
        4.921362077369286,
        4.921382127376465,
        4.921402177383644,
        4.921422227390824,
        4.921442277398002,
        4.921462327405182,
        4.921482377412361,
        4.92150242741954,
        4.921522477426719,
        4.921542527433898,
        4.921562577441078,
        4.921582627448256,
        4.921602677455436,
        4.921622727462616,
        4.921642777469794,
        4.921662827476973,
        4.921682877484153,
        4.921702927491331,
        4.9217229774985105,
        4.9217430275056895,
        4.921763077512869,
        4.921783127520048,
        4.921803177527226,
        4.921823227534406,
        4.921843277541584,
        4.921863327548764,
        4.921883377555944,
        4.921903427563122,
        4.921923477570302,
        4.92194352757748,
        4.92196357758466,
        4.921983627591839,
        4.922003677599018,
        4.922023727606198,
        4.922043777613377,
        4.922063827620556,
        4.922083877627735,
        4.922103927634913,
        4.922123977642093,
        4.9221440276492725,
        4.9221640776564515,
        4.9221841276636304,
        4.922204177670809,
        4.922224227677988,
        4.922244277685167,
        4.922264327692346,
        4.922284377699526,
        4.922304427706705,
        4.922324477713884,
        4.922344527721064,
        4.922364577728242,
        4.922384627735421,
        4.922404677742601,
        4.92242472774978,
        4.922444777756959,
        4.922464827764138,
        4.922484877771318,
        4.922504927778497,
        4.922524977785675,
        4.922545027792855,
        4.922565077800034,
        4.922585127807213,
        4.922605177814392,
        4.9226252278215705,
        4.9226452778287495,
        4.922665327835929,
        4.922685377843108,
        4.922705427850288,
        4.922725477857466,
        4.922745527864646,
        4.922925977929258,
        4.922946027936437,
        4.922966077943617,
        4.922986127950795,
        4.923006177957975,
        4.923026227965154,
        4.9230462779723325,
        4.9230663279795115,
        4.9230863779866905,
        4.92310642799387,
        4.923126478001049,
        4.923146528008228,
        4.923166578015408,
        4.923186628022585,
        4.923206678029765,
        4.923226728036945,
        4.923246778044124,
        4.923266828051303,
        4.923286878058483,
        4.923306928065662,
        4.923326978072841,
        4.923347028080019,
        4.923367078087199,
        4.923387128094378,
        4.923407178101557,
        4.923427228108737,
        4.9234472781159155,
        4.923467328123094,
        4.9234873781302735,
        4.9235074281374525,
        4.923527478144631,
        4.923547528151811,
        4.92356757815899,
        4.923587628166169,
        4.923607678173347,
        4.923627728180527,
        4.923647778187707,
        4.923667828194885,
        4.923687878202065,
        4.923707928209244,
        4.923727978216423,
        4.923748028223602,
        4.923768078230781,
        4.92378812823796,
        4.923808178245139,
        4.923828228252319,
        4.923848278259499,
        4.923868328266677,
        4.923888378273856,
        4.9239084282810355,
        4.923928478288214,
        4.923948528295393,
        4.923968578302572,
        4.923988628309751,
        4.924008678316931,
        4.924028728324109,
        4.924048778331289,
        4.924068828338467,
        4.924088878345647,
        4.924108928352827,
        4.924128978360005,
        4.924149028367185,
        4.924169078374363,
        4.924189128381543,
        4.924209178388722,
        4.924229228395901,
        4.924249278403081,
        4.92426932841026,
        4.924289378417439,
        4.924309428424618,
        4.924329478431796,
        4.9243495284389756,
        4.924369578446155,
        4.924389628453334,
        4.924409678460513,
        4.924429728467692,
        4.924449778474871,
        4.92446982848205,
        4.924489878489229,
        4.924509928496409,
        4.924529978503588,
        4.924550028510767,
        4.924570078517946,
        4.924590128525125,
        4.924610178532304,
        4.924630228539484,
        4.924650278546663,
        4.924670328553842,
        4.924690378561021,
        4.924710428568201,
        4.924730478575379,
        4.924750528582558,
        4.9247705785897375,
        4.9247906285969165,
        4.9248106786040955,
        4.924830728611275,
        4.924850778618453,
        4.924870828625632,
        4.924890878632812,
        4.924910928639991,
        4.92493097864717,
        4.924951028654349,
        4.924971078661529,
        4.924991128668708,
        4.925011178675886,
        4.925031228683066,
        4.925051278690245,
        4.925071328697424,
        4.925091378704604,
        4.925111428711783,
        4.925131478718962,
        4.925151528726141,
        4.92517157873332,
        4.9251916287404995,
        4.925211678747678,
        4.9252317287548575,
        4.925251778762037,
        4.9252718287692145,
        4.925291878776394,
        4.925311928783573,
        4.925331978790753,
        4.925352028797932,
        4.925372078805111,
        4.925392128812291,
        4.925412178819468,
        4.925432228826648,
        4.925452278833828,
        4.925472328841006,
        4.925492378848186,
        4.925512428855366,
        4.925532478862545,
        4.925552528869723,
        4.925572578876902,
        4.925592628884082,
        4.925612678891261,
        4.92563272889844,
        4.9256527789056195,
        4.925672828912798,
        4.9256928789199765,
        4.925712928927156,
        4.925732978934335,
        4.925753028941514,
        4.925773078948694,
        4.925793128955873,
        4.925813178963052,
        4.92583322897023,
        4.92585327897741,
        4.92587332898459,
        4.925893378991768,
        4.925913428998948,
        4.925933479006127,
        4.925953529013305,
        4.925973579020485,
        4.925993629027664,
        4.926013679034843,
        4.926033729042022,
        4.926053779049202,
        4.9260738290563815,
        4.9260938790635596,
        4.9261139290707385,
        4.926133979077918,
        4.9261540290850965,
        4.926174079092276,
        4.926194129099455,
        4.926214179106634,
        4.926234229113813,
        4.926254279120992,
        4.926274329128172,
        4.92629437913535,
        4.92631442914253,
        4.92633447914971,
        4.926354529156888,
        4.926374579164068,
        4.926394629171246,
        4.926414679178425,
        4.926434729185605,
        4.926454779192784,
        4.926474829199964,
        4.926494879207143,
        4.926514929214321,
        4.9265349792215005,
        4.926555029228679,
        4.9265750792358585,
        4.926595129243038,
        4.926615179250216,
        4.926635229257396,
        4.926655279264575,
        4.926675329271754,
        4.926695379278933,
        4.926715429286112,
        4.926735479293292,
        4.926755529300471,
        4.92677557930765,
        4.926795629314829,
        4.926815679322008,
        4.926835729329187,
        4.926855779336367,
        4.926875829343546,
        4.926895879350725,
        4.926915929357904,
        4.926935979365083,
        4.926956029372262,
        4.926976079379441,
        4.9269961293866205,
        4.927016179393799,
        4.927036229400978,
        4.927056279408158,
        4.927076329415336,
        4.927096379422515,
        4.927116429429695,
        4.927136479436874,
        4.927397129530203,
        4.928219179824547,
        4.928239229831726,
        4.928259279838905,
        4.9282793298460845,
        4.9282993798532635,
        4.928319429860442,
        4.928339479867621,
        4.928359529874801,
        4.928379579881979,
        4.928399629889159,
        4.928419679896338,
        4.928439729903517,
        4.928459779910696,
        4.928479829917875,
        4.928499879925055,
        4.928519929932233,
        4.928539979939413,
        4.928560029946593,
        4.928580079953771,
        4.92860012996095,
        4.928620179968129,
        4.928640229975308,
        4.928660279982488,
        4.928680329989667,
        4.9287003799968465,
        4.9287204300040255,
        4.928740480011204,
        4.928760530018383,
        4.9287805800255615,
        4.928800630032741,
        4.928820680039921,
        4.928840730047099,
        4.928860780054279,
        4.928880830061457,
        4.928900880068637,
        4.928920930075816,
        4.928940980082995,
        4.928961030090175,
        4.928981080097354,
        4.929001130104532,
        4.929021180111712,
        4.92904123011889,
        4.92906128012607,
        4.92908133013325,
        4.929101380140429,
        4.929121430147608,
        4.929141480154787,
        4.929161530161966,
        4.9291815801691445,
        4.9292016301763235,
        4.929221680183503,
        4.9292417301906815,
        4.929261780197861,
        4.929281830205041,
        4.929301880212219,
        4.929321930219398,
        4.929341980226578,
        4.929362030233757,
        4.929382080240936,
        4.929402130248115,
        4.929422180255295,
        4.929442230262474,
        4.929462280269652,
        4.929482330276832,
        4.929502380284011,
        4.929783080384518,
        4.929803130391698,
        4.929823180398877,
        4.929843230406056,
        4.929863280413234,
        4.929883330420414,
        4.929903380427594,
        4.929923430434772,
        4.929943480441952,
        4.929963530449132,
        4.92998358045631,
        4.930003630463489,
        4.930023680470668,
        4.9300437304778475,
        4.9300637804850265,
        4.930083830492205,
        4.930103880499385,
        4.9301239305065625,
        4.930143980513742,
        4.930164030520922,
        4.930184080528101,
        4.93020413053528,
        4.930224180542459,
        4.930244230549639,
        4.930264280556817,
        4.930284330563996,
        4.930304380571176,
        4.930324430578355,
        4.930344480585534,
        4.930364530592714,
        4.930384580599893,
        4.930404630607071,
        4.930424680614251,
        4.93044473062143,
        4.930464780628609,
        4.930484830635788,
        4.930504880642967,
        4.930524930650146,
        4.9305449806573245,
        4.930565030664504,
        4.930585080671684,
        4.930605130678862,
        4.930625180686042,
        4.930645230693221,
        4.9306652807004,
        4.930685330707579,
        4.930705380714758,
        4.930725430721937,
        4.930745480729116,
        4.930765530736296,
        4.930785580743476,
        4.930805630750654,
        4.930825680757833,
        4.930845730765012,
        4.930865780772191,
        4.930885830779371,
        4.93090588078655,
        4.9309259307937285,
        4.9309459808009075,
        4.9309660308080865,
        4.930986080815266,
        4.931006130822444,
        4.931026180829624,
        4.931046230836804,
        4.931066280843982,
        4.931086330851162,
        4.93110638085834,
        4.93112643086552,
        4.931146480872699,
        4.931166530879878,
        4.931186580887058,
        4.931206630894237,
        4.931226680901415,
        4.931246730908595,
        4.931266780915773,
        4.931286830922953,
        4.931306880930133,
        4.931326930937312,
        4.9313469809444905,
        4.931367030951669,
        4.9313870809588485,
        4.9314071309660275,
        4.931427180973206,
        4.931447230980386,
        4.931467280987564,
        4.931487330994744,
        4.931507381001923,
        4.931527431009102,
        4.931547481016281,
        4.931567531023461,
        4.93158758103064,
        4.931607631037819,
        4.931627681044998,
        4.931647731052177,
        4.931667781059356,
        4.931687831066535,
        4.931707881073715,
        4.931727931080894,
        4.931747981088073,
        4.9317680310952525,
        4.931788081102431,
        4.93180813110961,
        4.931828181116789,
        4.931848231123968,
        4.931868281131148,
        4.931888331138326,
        4.931908381145506,
        4.931928431152685,
        4.931948481159863,
        4.931968531167043,
        4.931988581174222,
        4.932008631181401,
        4.932028681188581,
        4.93204873119576,
        4.932068781202939,
        4.932088831210117,
        4.932108881217297,
        4.932128931224477,
        4.932148981231655,
        4.932169031238835,
        4.9321890812460145,
        4.932209131253192,
        4.932229181260372,
        4.9322492312675505,
        4.93226928127473,
        4.932289331281909,
        4.932309381289088,
        4.932329431296267,
        4.932349481303445,
        4.932369531310625,
        4.932389581317805,
        4.932409631324983,
        4.932429681332163,
        4.932449731339342,
        4.932469781346522,
        4.9324898313537,
        4.932509881360879,
        4.932529931368059,
        4.932549981375238,
        4.932570031382417,
        4.932590081389597,
        4.932610131396775,
        4.932630181403954,
        4.932650231411134,
        4.9326702814183125,
        4.9326903314254915,
        4.9327103814326705,
        4.93273043143985,
        4.932750481447029,
        4.932770531454207,
        4.932790581461387,
        4.932810631468566,
        4.932830681475745,
        4.932850731482925,
        4.932870781490104,
        4.932890831497282,
        4.932910881504462,
        4.932930931511641,
        4.93295098151882,
        4.932971031525999,
        4.932991081533179,
        4.933011131540359,
        4.933031181547537,
        4.933051231554716,
        4.933071281561895,
        4.933091331569074,
        4.9331113815762535,
        4.9331314315834325,
        4.9331514815906115,
        4.93317153159779,
        4.933191581604969,
        4.933211631612149,
        4.933231681619327,
        4.933251731626507,
        4.933271781633687,
        4.933291831640865,
        4.933311881648044,
        4.933742956802396,
        4.933793081820344,
        4.933813131827523,
        4.933833181834702,
        4.933853231841881,
        4.93387328184906,
        4.933893331856239,
        4.933913381863418,
        4.933933431870598,
        4.933953481877777,
        4.933973531884956,
        4.933993581892135,
        4.9340136318993135,
        4.9340336819064925,
        4.9340537319136715,
        4.934955982236733,
        4.934976032243912,
        4.93499608225109,
        4.93501613225827,
        4.935036182265448,
        4.935056232272628,
        4.935076282279808,
        4.935096332286987,
        4.935116382294165,
        4.935136432301345,
        4.935156482308524,
        4.935176532315703,
        4.935196582322882,
        4.935216632330062,
        4.935236682337241,
        4.935256732344419,
        4.935276782351599,
        4.935296832358778,
        4.935316882365957,
        4.935336932373136,
        4.935356982380315,
        4.935377032387494,
        4.935397082394673,
        4.935417132401852,
        4.935437182409032,
        4.93545723241621,
        4.93547728242339,
        4.93549733243057,
        4.935517382437748,
        4.935537432444927,
        4.935557482452106,
        4.935577532459285,
        4.935597582466465,
        4.935617632473644,
        4.935637682480824,
        4.935657732488002,
        4.935677782495181,
        4.935697832502361,
        4.935717882509539,
        4.9357379325167186,
        4.935757982523898,
        4.9357780325310765,
        4.935798082538256,
        4.9358181325454344,
        4.935838182552614,
        4.935858232559793,
        4.935878282566972,
        4.935898332574152,
        4.93591838258133,
        4.93593843258851,
        4.935958482595689,
        4.935978532602867,
        4.935998582610047,
        4.936018632617227,
        4.936038682624406,
        4.936058732631585,
        4.936078782638764,
        4.936098832645943,
        4.936118882653122,
        4.936138932660301,
        4.9361589826674805,
        4.9361790326746595,
        4.9361990826818385,
        4.9362191326890175,
        4.936239182696196,
        4.936259232703375,
        4.936279282710554,
        4.936299332717734,
        4.936319382724913,
        4.936339432732092,
        4.936359482739272,
        4.936379532746451,
        4.936399582753629,
        4.936419632760809,
        4.936439682767988,
        4.936459732775167,
        4.936479782782347,
        4.936499832789525,
        4.936519882796704,
        4.936539932803883,
        4.936559982811063,
        4.9365800328182425,
        4.936600082825421,
        4.9366201328326005,
        4.936640182839779,
        4.9366602328469575,
        4.936680282854137,
        4.936700332861316,
        4.936720382868495,
        4.936740432875675,
        4.936760482882854,
        4.936780532890033,
        4.936800582897211,
        4.936820632904391,
        4.936840682911571,
        4.936860732918749,
        4.936880782925929,
        4.936900832933108,
        4.936920882940286,
        4.936940932947466,
        4.936960982954645,
        4.936981032961825,
        4.937001082969004,
        4.937021132976183,
        4.9370411829833625,
        4.93706123299054,
        4.9370812829977195,
        4.937101333004899,
        4.937121383012078,
        4.937141433019257,
        4.937161483026436,
        4.937181533033616,
        4.937201583040794,
        4.937221633047973,
        4.937241683055153,
        4.937261733062331,
        4.937281783069511,
        4.937301833076691,
        4.93732188308387,
        4.937341933091048,
        4.937361983098228,
        4.937382033105407,
        4.937402083112586,
        4.937422133119765,
        4.937442183126945,
        4.937462233134124,
        4.937482283141302,
        4.9375023331484815,
        4.9375223831556605,
        4.9375424331628395,
        4.937562483170019,
        4.937582533177198,
        4.937602583184376,
        4.937622633191555,
        4.937642683198735,
        4.937662733205914,
        4.937682783213093,
        4.937702833220273,
        4.937722883227453,
        4.937742933234631,
        4.93776298324181,
        4.937783033248989,
        4.937803083256168,
        4.937823133263348,
        4.937843183270527,
        4.937863233277707,
        4.937883283284884,
        4.937903333292064,
        4.9379233832992435,
        4.937943433306422,
        4.9379634833136015,
        4.937983533320781,
        4.938003583327959,
        4.938023633335138,
        4.938043683342317,
        4.938063733349497,
        4.938083783356676,
        4.938103833363855,
        4.938123883371035,
        4.938143933378213,
        4.938163983385392,
        4.938184033392572,
        4.93820408339975,
        4.93822413340693,
        4.938244183414109,
        4.938264233421289,
        4.938284283428468,
        4.938304333435647,
        4.938324383442826,
        4.938344433450005,
        4.938364483457184,
        4.9383845334643635,
        4.9384045834715415,
        4.938424633478721,
        4.9384446834859,
        4.938464733493079,
        4.938484783500258,
        4.938504833507437,
        4.938524883514617,
        4.938544933521796,
        4.938564983528975,
        4.938585033536154,
        4.938605083543333,
        4.938625133550512,
        4.938645183557692,
        4.938665233564871,
        4.93868528357205,
        4.93870533357923,
        4.938725383586408,
        4.938745433593587,
        4.938765483600766,
        4.938785533607946,
        4.9388055836151254,
        4.9388256336223035,
        4.938845683629483,
        4.9388657336366615,
        4.9388857836438405,
        4.93890583365102,
        4.938925883658199,
        4.938945933665378,
        4.938965983672558,
        4.938986033679737,
        4.939006083686916,
        4.939026133694094,
        4.939046183701274,
        4.939066233708454,
        4.939086283715632,
        4.939106333722812,
        4.939126383729991,
        4.939146433737169,
        4.939166483744349,
        4.939186533751528,
        4.939206583758708,
        4.9392266337658866,
        4.939507333866394,
        4.939527383873574,
        4.939547433880751,
        4.939567483887931,
        4.939587533895111,
        4.93960758390229,
        4.939627633909469,
        4.939647683916648,
        4.9396677339238275,
        4.9396877839310065,
        4.939707833938185,
        4.939727883945364,
        4.939747933952543,
        4.939767983959722,
        4.939788033966902,
        4.939808083974081,
        4.939828133981259,
        4.939848183988438,
        4.939868233995618,
        4.939888284002797,
        4.939908334009976,
        4.939928384017156,
        4.939948434024336,
        4.939968484031513,
        4.939988534038693,
        4.940008584045872,
        4.940028634053051,
        4.940048684060231,
        4.94006873406741,
        4.940088784074589,
        4.940108834081767,
        4.940128884088947,
        4.940148934096126,
        4.9401689841033045,
        4.940189034110484,
        4.940209084117664,
        4.940229134124842,
        4.940249184132021,
        4.9402692341392,
        4.940289284146379,
        4.940309334153559,
        4.940329384160738,
        4.940349434167918,
        4.940369484175096,
        4.940389534182275,
        4.940409584189455,
        4.940429634196633,
        4.940449684203813,
        4.940469734210992,
        4.940489784218172,
        4.940509834225351,
        4.940529884232529,
        4.940549934239709,
        4.9405699842468875,
        4.9405900342540665,
        4.940610084261246,
        4.9406301342684245,
        4.940650184275603,
        4.940670234282783,
        4.940690284289962,
        4.940710334297141,
        4.94073038430432,
        4.9407504343115,
        4.940770484318679,
        4.940790534325858,
        4.940810584333037,
        4.940830634340216,
        4.940850684347395,
        4.940870734354575,
        4.940890784361754,
        4.940910834368933,
        4.940930884376112,
        4.940950934383291,
        4.94097098439047,
        4.940991034397649,
        4.9410110844048285,
        4.9410311344120075,
        4.9410511844191864,
        4.9414521845627695,
        4.941472234569948,
        4.941492284577127,
        4.9415123345843055,
        4.941532384591485,
        4.941552434598665,
        4.941572484605843,
        4.941592534613023,
        4.941612584620202,
        4.941632634627381,
        4.94165268463456,
        4.941672734641739,
        4.941692784648919,
        4.941712834656097,
        4.941732884663277,
        4.941752934670457,
        4.941772984677634,
        4.941793034684814,
        4.941813084691994,
        4.941833134699173,
        4.941853184706352,
        4.941873234713531,
        4.94189328472071,
        4.9419133347278885,
        4.9419333847350675,
        4.941953434742247,
        4.941973484749425,
        4.941993534756605,
        4.942013584763785,
        4.942033634770964,
        4.942053684778142,
        4.942073734785321,
        4.942093784792501,
        4.94211383479968,
        4.942133884806859,
        4.942153934814039,
        4.942173984821219,
        4.942194034828396,
        4.942214084835576,
        4.942234134842755,
        4.942254184849934,
        4.942274234857114,
        4.942294284864293,
        4.9423143348714715,
        4.94233438487865,
        4.9423544348858295,
        4.942374484893009,
        4.942394534900187,
        4.942414584907367,
        4.942434634914547,
        4.942454684921725,
        4.942474734928904,
        4.942494784936083,
        4.942514834943262,
        4.942534884950442,
        4.942554934957621,
        4.942574984964801,
        4.942595034971978,
        4.942615084979158,
        4.942635134986338,
        4.942655184993516,
        4.942675235000696,
        4.942695285007875,
        4.942715335015054,
        4.9427353850222335,
        4.942755435029412,
        4.9427754850365915,
        4.9427955350437704,
        4.942815585050949,
        4.942835635058129,
        4.943477235287861,
        4.947186486615998,
        4.9521789384036,
        4.95219898841078,
        4.952219038417958,
        4.952239088425138,
        4.952259138432318,
        4.952279188439496,
        4.952299238446675,
        4.952319288453854,
        4.952339338461034,
        4.952359388468213,
        4.952379438475392,
        4.9523994884825715,
        4.9524195384897505,
        4.953031063708714,
        4.953823038992289,
        4.953843088999467,
        4.953863139006647,
        4.953883189013826,
        4.953903239021005,
        4.953923289028184,
        4.955587439624051,
        4.955607489631231,
        4.95562753963841,
        4.95606863979635,
        4.95608868980353,
        4.956108739810709,
        4.956128789817888,
        4.956148839825067,
        4.956168889832247,
        4.956188939839425,
        4.956208989846604,
        4.956229039853784,
        4.956249089860964,
        4.956269139868142,
        4.956289189875322,
        4.956309239882501,
        4.956329289889679,
        4.9563493398968586,
        4.9563693899040375,
        4.9563894399112165,
        4.9564094899183955,
        4.956429539925575,
        4.956449589932755,
        4.956469639939932,
        4.956489689947112,
        4.956509739954292,
        4.95652978996147,
        4.95654983996865,
        4.956569889975829,
        4.956589939983008,
        4.956609989990187,
        4.956630039997366,
        4.956650090004546,
        4.956670140011724,
        4.956690190018904,
        4.956710240026084,
        4.956730290033262,
        4.956750340040441,
        4.95677039004762,
        4.9567904400547995,
        4.9568104900619785,
        4.9568305400691575,
        4.956850590076337,
        4.956870640083516,
        4.956890690090694,
        4.956910740097874,
        4.956930790105052,
        4.956950840112232,
        4.956970890119412,
        4.956990940126591,
        4.957010990133769,
        4.957031040140948,
        4.957051090148128,
        4.957071140155307,
        4.957091190162486,
        4.957111240169666,
        4.957131290176845,
        4.957151340184024,
        4.958123765532211,
        4.9598580911532055,
        4.9598781411603845,
        4.9598981911675635,
        4.959918241174743,
        4.959938291181921,
        4.9599583411891,
        4.959978391196279,
        4.959998441203459,
        4.960018491210639,
        4.960038541217817,
        4.960058591224996,
        4.960078641232176,
        4.960339291325505,
        4.960359341332683,
        4.960379391339862,
        4.960399441347041,
        4.960419491354221,
        4.9604395413614,
        4.960459591368579,
        4.960479641375759,
        4.960499691382936,
        4.960519741390116,
        4.960539791397296,
        4.960559841404475,
        4.960579891411654,
        4.960599941418833,
        4.960619991426012,
        4.960640041433191,
        4.96066009144037,
        4.96068014144755,
        4.960700191454729,
        4.960720241461908,
        4.9607402914690875,
        4.960760341476266,
        4.9607803914834445,
        4.960800441490624,
        4.960820491497803,
        4.960840541504982,
        4.960860591512161,
        4.960880641519341,
        4.960900691526519,
        4.960920741533698,
        4.960940791540878,
        4.960960841548057,
        4.960980891555236,
        4.961000941562416,
        4.961020991569595,
        4.961041041576774,
        4.961061091583953,
        4.961081141591132,
        4.961101191598312,
        4.96112124160549,
        4.96114129161267,
        4.9611613416198495,
        4.961181391627027,
        4.9612014416342065,
        4.9612214916413855,
        4.9612415416485645,
        4.961261591655744,
        4.961281641662923,
        4.961301691670103,
        4.961321741677281,
        4.96134179168446,
        4.96136184169164,
        4.961381891698818,
        4.961401941705998,
        4.961421991713178,
        4.961442041720356,
        4.961462091727535,
        4.961482141734714,
        4.961502191741894,
        4.961522241749073,
        4.961542291756252,
        4.961562341763432,
        4.96158239177061,
        4.961602441777789,
        4.9616224917849685,
        4.961642541792147,
        4.9616625917993264,
        4.961682641806506,
        4.961702691813685,
        4.961722741820864,
        4.961742791828042,
        4.961762841835222,
        4.961782891842401,
        4.96180294184958,
        4.96182299185676,
        4.961843041863938,
        4.961863091871118,
        4.961883141878297,
        4.961903191885476,
        4.961923241892655,
        4.961943291899835,
        4.961963341907014,
        4.961983391914193,
        4.962003441921371,
        4.962023491928551,
        4.962143791971625,
        4.963066092301865,
        4.963086142309044,
        4.963106192316224,
        4.963126242323402,
        4.963146292330581,
        4.963166342337761,
        4.96318639234494,
        4.963206442352119,
        4.963226492359299,
        4.963246542366478,
        4.963266592373656,
        4.963286642380836,
        4.963306692388015,
        4.963326742395194,
        4.963346792402373,
        4.9633668424095525,
        4.9633868924167315,
        4.96340694242391,
        4.963426992431089,
        4.963447042438268,
        4.963467092445447,
        4.963487142452627,
        4.963507192459806,
        4.963527242466985,
        4.963547292474163,
        4.963567342481343,
        4.963587392488523,
        4.963607442495701,
        4.963627492502881,
        4.963647542510061,
        4.963667592517239,
        4.963687642524418,
        4.963707692531597,
        4.963727742538777,
        4.963747792545956,
        4.963767842553135,
        4.9637878925603145,
        4.963807942567493,
        4.9638279925746716,
        4.963848042581851,
        4.9638680925890295,
        4.963888142596209,
        4.963908192603389,
        4.963928242610568,
        4.963948292617746,
        4.963968342624925,
        4.963988392632105,
        4.964008442639284,
        4.964028492646463,
        4.964048542653643,
        4.964068592660821,
        4.964088642668001,
        4.96410869267518,
        4.964128742682359,
        4.964148792689538,
        4.964168842696717,
        4.964188892703897,
        4.964208942711076,
        4.964228992718254,
        4.9642490427254335,
        4.9642690927326125,
        4.9642891427397915,
        4.9645698428403,
        4.964589892847479,
        4.964609942854658,
        4.964629992861838,
        4.964650042869016,
        4.9646700928761955,
        4.964690142883374,
        4.9647101928905535,
        4.964730242897733,
        4.964750292904911,
        4.964770342912091,
        4.964790392919269,
        4.964810442926448,
        4.964830492933628,
        4.964850542940807,
        4.964870592947987,
        4.964890642955166,
        4.964910692962345,
        4.964930742969524,
        4.964950792976702,
        4.964970842983882,
        4.964990892991062,
        4.96501094299824,
        4.96503099300542,
        4.965051043012599,
        4.965071093019778,
        4.965091143026957,
        4.965111193034136,
        4.9651312430413155,
        4.9651512930484945,
        4.965171343055673,
        4.965191393062853,
        4.9652114430700305,
        4.96523149307721,
        4.96525154308439,
        4.965271593091569,
        4.965291643098748,
        4.965311693105927,
        4.965331743113106,
        4.965351793120285,
        4.965371843127464,
        4.965391893134644,
        4.965411943141823,
        4.965431993149002,
        4.965452043156182,
        4.965472093163361,
        4.965492143170539,
        4.965512193177719,
        4.965532243184898,
        4.965552293192077,
        4.965572343199256,
        4.965592393206435,
        4.965612443213614,
        4.9656324932207925,
        4.965652543227972,
        4.965672593235151,
        4.96569264324233,
        4.96571269324951,
        4.965732743256689,
        4.965752793263867,
        4.965772843271046,
        4.965792893278226,
        4.965812943285406,
        4.965832993292584,
        4.965853043299764,
        4.965873093306944,
        4.965893143314121,
        4.965913193321301,
        4.96593324332848,
        4.965953293335659,
        4.965973343342839,
        4.9659933933500175,
        4.966013443357197,
        4.9660334933643755,
        4.9660535433715545,
        4.966073593378734,
        4.966093643385912,
        4.966113693393092,
        4.966133743400272,
        4.96615379340745,
        4.966173843414629,
        4.966193893421808,
        4.966213943428988,
        4.966233993436167,
        4.966254043443346,
        4.966274093450526,
        4.966294143457704,
        4.966314193464883,
        4.966334243472063,
        4.966354293479242,
        4.966374343486421,
        4.9663943934936,
        4.9664144435007795,
        4.9664344935079585,
        4.966454543515137,
        4.9664745935223165,
        4.966494643529495,
        4.966514693536674,
        4.966534743543854,
        4.966554793551033,
        4.966574843558212,
        4.966594893565391,
        4.96661494357257,
        4.966634993579749,
        4.966655043586928,
        4.966675093594108,
        4.966695143601287,
        4.966715193608466,
        4.966735243615645,
        4.966755293622825,
        4.966775343630003,
        4.966795393637183,
        4.966815443644362,
        4.966835493651541,
        4.9668555436587205,
        4.966875593665899,
        4.966895643673078,
        4.9669156936802565,
        4.966935743687436,
        4.966955793694616,
        4.966975843701794,
        4.966995893708974,
        4.967015943716152,
        4.967035993723331,
        4.967056043730511,
        4.96707609373769,
        4.96709614374487,
        4.967116193752049,
        4.967136243759228,
        4.967156293766407,
        4.967176343773585,
        4.967196393780765,
        4.967216443787945,
        4.967236493795123,
        4.967256543802303,
        4.967276593809481,
        4.967296643816661,
        4.96731669382384,
        4.9673367438310185,
        4.967356793838198,
        4.967376843845377,
        4.967396893852556,
        4.967416943859736,
        4.967436993866913,
        4.967457043874093,
        4.967477093881273,
        4.967497143888452,
        4.967517193895631,
        4.96753724390281,
        4.967557293909989,
        4.967577343917168,
        4.967597393924347,
        4.967617443931527,
        4.967637493938705,
        4.967657543945885,
        4.967677593953065,
        4.967697643960243,
        4.967717693967422,
        4.9677377439746015,
        4.9677577939817805,
        4.9677778439889595,
        4.9677978939961385,
        4.967817944003318,
        4.967837994010496,
        4.967858044017675,
        4.967878094024855,
        4.967898144032034,
        4.967918194039213,
        4.967938244046393,
        4.967958294053572,
        4.96797834406075,
        4.967998394067929,
        4.968018444075109,
        4.968038494082289,
        4.968058544089467,
        4.968078594096647,
        4.968098644103827,
        4.968118694111004,
        4.968138744118184,
        4.968158794125363,
        4.968178844132542,
        4.9681988941397215,
        4.9682189441469005,
        4.96823899415408,
        4.9682590441612575,
        4.968279094168437,
        4.968299144175617,
        4.968319194182795,
        4.968339244189975,
        4.968359294197155,
        4.968379344204333,
        4.968399394211512,
        4.968419444218691,
        4.968439494225871,
        4.96845954423305,
        4.968479594240229,
        4.968499644247409,
        4.968519694254587,
        4.968539744261766,
        4.968559794268946,
        4.968579844276124,
        4.968599894283304,
        4.968619944290483,
        4.9686399942976625,
        4.9686600443048405,
        4.9686800943120195,
        4.968700144319199,
        4.969261544520214,
        4.969281594527394,
        4.969301644534573,
        4.969321694541752,
        4.969341744548932,
        4.969361794556111,
        4.96938184456329,
        4.969401894570468,
        4.969421944577648,
        4.969441994584828,
        4.969462044592006,
        4.9694820945991856,
        4.969502144606364,
        4.969522194613543,
        4.9695422446207225,
        4.9695622946279014,
        4.969582344635081,
        4.969602394642259,
        4.969622444649439,
        4.969642494656618,
        4.969662544663796,
        4.969682594670976,
        4.969702644678156,
        4.969722694685335,
        4.969742744692514,
        4.969762794699693,
        4.969782844706872,
        4.969802894714051,
        4.96982294472123,
        4.96984299472841,
        4.969863044735588,
        4.969883094742768,
        4.9699031447499475,
        4.969923194757126,
        4.969943244764305,
        4.9699632947714845,
        4.969983344778663,
        4.970003394785842,
        4.970023444793021,
        4.970043494800201,
        4.970063544807379,
        4.970083594814558,
        4.970103644821738,
        4.970123694828917,
        4.970143744836096,
        4.970163794843276,
        4.970183844850455,
        4.970203894857633,
        4.970223944864812,
        4.970243994871992,
        4.970264044879171,
        4.97028409488635,
        4.97030414489353,
        4.970324194900709,
        4.970344244907887,
        4.970364294915067,
        4.970384344922246,
        4.9704043949294245,
        4.970424444936604,
        4.970444494943783,
        4.970464544950962,
        4.97048459495814,
        4.97050464496532,
        4.9705246949725,
        4.970544744979678,
        4.970564794986858,
        4.970584844994038,
        4.970604895001215,
        4.970624945008395,
        4.970644995015574,
        4.970665045022754,
        4.970685095029933,
        4.970705145037112,
        4.970725195044292,
        4.97074524505147,
        4.970765295058649,
        4.970785345065829,
        4.970805395073007,
        4.9708254450801865,
        4.9708454950873655,
        4.970865545094545,
        4.9708855951017235,
        4.970905645108902,
        4.970925695116082,
        4.970945745123261,
        4.97096579513044,
        4.97098584513762,
        4.971005895144798,
        4.971025945151977,
        4.971045995159157,
        4.971066045166336,
        4.971086095173515,
        4.971106145180694,
        4.971126195187874,
        4.971146245195053,
        4.971166295202231,
        4.971186345209411,
        4.971206395216589,
        4.971226445223769,
        4.9712464952309485,
        4.9712665452381275,
        4.9712865952453065,
        4.9713066452524854,
        4.971326695259664,
        4.971346745266843,
        4.971366795274022,
        4.971386845281202,
        4.971406895288382,
        4.97142694529556,
        4.971446995302739,
        4.971467045309918,
        4.971487095317097,
        4.971507145324277,
        4.971527195331456,
        4.971547245338635,
        4.971567295345815,
        4.971587345352993,
        4.971607395360173,
        4.971627445367351,
        4.971647495374531,
        4.9716675453817105,
        4.971687595388889,
        4.971707645396068,
        4.9717276954032465,
        4.9717477454104255,
        4.971767795417605,
        4.971787845424784,
        4.971807895431964,
        4.971827945439142,
        4.971847995446322,
        4.971868045453501,
        4.971888095460679,
        4.971908145467859,
        4.971928195475039,
        4.971948245482217,
        4.971968295489397,
        4.971988345496575,
        4.972008395503755,
        4.972028445510934,
        4.972048495518113,
        4.972068545525293,
        4.972088595532471,
        4.972108645539651,
        4.9721286955468305,
        4.972148745554008,
        4.9721687955611875,
        4.972188845568367,
        4.972208895575546,
        4.972228945582725,
        4.972248995589904,
        4.972269045597083,
        4.972289095604262,
        4.972309145611441,
        4.972329195618621,
        4.9723492456258,
        4.972369295632979,
        4.972389345640159,
        4.972409395647338,
        4.972429445654516,
        4.972449495661695,
        4.972469545668875,
        4.972489595676054,
        4.972509645683233,
        4.972529695690413,
        4.972549745697592,
        4.97256979570477,
        4.9725898457119495,
        4.9726098957191285,
        4.9726299457263075,
        4.972649995733487,
        4.972670045740666,
        4.972690095747845,
        4.972710145755023,
        4.972730195762203,
        4.972750245769383,
        4.972770295776561,
        4.972790345783741,
        4.972810395790921,
        4.972830445798098,
        4.972850495805278,
        4.972870545812457,
        4.972890595819636,
        4.972910645826816,
        4.972930695833995,
        4.972950745841175,
        4.972970795848352,
        4.972990845855532,
        4.9730108958627115,
        4.97303094586989,
        4.9730509958770694,
        4.973071045884248,
        4.973091095891428,
        4.973111145898606,
        4.973131195905785,
        4.973151245912965,
        4.973171295920144,
        4.973191345927323,
        4.973211395934503,
        4.973231445941681,
        4.97325149594886,
        4.97327154595604,
        4.973291595963219,
        4.973311645970398,
        4.973331695977577,
        4.973351745984757,
        4.973371795991936,
        4.973391845999114,
        4.973411896006294,
        4.973431946013472,
        4.973451996020652,
        4.973472046027831,
        4.97349209603501,
        4.973512146042189,
        4.973532196049368,
        4.973552246056547,
        4.973572296063726,
        4.973592346070905,
        4.973612396078085,
        4.973632446085264,
        4.973652496092442,
        4.973672546099622,
        4.9739331961929505,
        4.9739532462001295,
        4.973973296207308,
        4.973993346214488,
        4.974013396221667,
        4.974033446228847,
        4.974053496236025,
        4.974073546243205,
        4.974093596250384,
        4.974113646257562,
        4.974133696264742,
        4.974153746271922,
        4.9741737962791,
        4.97419384628628,
        4.974213896293458,
        4.974233946300638,
        4.974253996307817,
        4.974274046314996,
        4.974294096322176,
        4.974314146329354,
        4.9743341963365335,
        4.9743542463437125,
        4.974374296350891,
        4.97439434635807,
        4.974414396365249,
        4.974434446372429,
        4.974454496379608,
        4.974474546386787,
        4.974494596393966,
        4.974514646401145,
        4.974534696408324,
        4.974554746415504,
        4.974574796422682,
        4.974594846429862,
        4.974614896437042,
        4.97463494644422,
        4.974654996451399,
        4.974675046458578,
        4.974695096465758,
        4.974715146472937,
        4.974735196480116,
        4.9747552464872955,
        4.9747752964944745,
        4.974795346501653,
        4.974815396508832,
        4.974835446516011,
        4.97485549652319,
        4.97487554653037,
        4.974895596537549,
        4.974915646544727,
        4.974935696551906,
        4.974955746559086,
        4.974975796566266,
        4.974995846573444,
        4.975015896580624,
        4.975035946587802,
        4.975055996594981,
        4.975076046602161,
        4.97509609660934,
        4.975116146616519,
        4.975136196623699,
        4.975156246630878,
        4.9751762966380575,
        4.975196346645235,
        4.9752163966524146,
        4.975236446659594,
        4.9752564966667725,
        4.975276546673952,
        4.975296596681131,
        4.975316646688309,
        4.975336696695489,
        4.975356746702668,
        4.975376796709848,
        4.975396846717027,
        4.975416896724206,
        4.975436946731386,
        4.975817896867788,
        4.975837946874968,
        4.975857996882147,
        4.975878046889325,
        4.975898096896505,
        4.975918146903684,
        4.975938196910863,
        4.975958246918043,
        4.975978296925222,
        4.975998346932401,
        4.976018396939579,
        4.976038446946759,
        4.976058496953938,
        4.976078546961117,
        4.9760985969682965,
        4.976118646975476,
        4.976138696982654,
        4.976158746989833,
        4.976178796997012,
        4.976198847004191,
        4.976218897011371,
        4.97623894701855,
        4.976258997025729,
        4.976279047032908,
        4.976299097040087,
        4.976319147047267,
        4.976339197054445,
        4.976359247061625,
        4.976379297068805,
        4.976399347075983,
        4.976419397083163,
        4.976439447090341,
        4.97645949709752,
        4.9764795471047,
        4.976499597111879,
        4.9765196471190585,
        4.976539697126237,
        4.976559747133416,
        4.976579797140595,
        4.9765998471477735,
        4.976619897154953,
        4.976639947162132,
        4.976649972165722,
        4.976659997169312,
        4.976680047176491,
        4.97670009718367,
        4.9774419474492975,
        4.977461997456477,
        4.977482047463655,
        4.977502097470835,
        4.977522147478014,
        4.977542197485192,
        4.977562247492372,
        4.977582297499551,
        4.977602347506731,
        4.97762239751391,
        4.977642447521089,
        4.977662497528269,
        4.977682547535446,
        4.977702597542626,
        4.977722647549806,
        4.977742697556984,
        4.977762747564164,
        4.977782797571343,
        4.9778028475785225
    ],
    "flux": [
        1.25055,
        1.18954,
        1.12853,
        1.06752,
        1.02304,
        1.03911,
        1.05027,
        1.06039,
        1.04278,
        1.03308,
        1.04323,
        1.01337,
        1.0271,
        1.01763,
        0.991569,
        0.960812,
        0.943935,
        0.969372,
        1.01024,
        1.04735,
        1.04249,
        1.02959,
        1.03822,
        1.0564,
        1.06164,
        1.04321,
        1.06697,
        1.04683,
        1.04752,
        1.04839,
        1.03921,
        1.02979,
        1.03582,
        1.0435,
        1.04248,
        1.03417,
        1.0229,
        1.01798,
        1.04511,
        1.03481,
        1.04178,
        1.04303,
        1.03311,
        1.02292,
        1.03101,
        1.03376,
        1.04351,
        1.04859,
        1.04981,
        1.05124,
        1.04474,
        1.04558,
        1.0438,
        1.04709,
        1.05228,
        1.05093,
        1.03467,
        1.05619,
        1.06056,
        1.06126,
        1.05525,
        1.04619,
        1.05843,
        1.05194,
        1.06017,
        1.05858,
        1.04957,
        1.04727,
        1.06542,
        1.07713,
        1.07198,
        1.07149,
        1.06784,
        1.06136,
        1.06755,
        1.06844,
        1.06494,
        1.07555,
        1.0805,
        1.07666,
        1.08115,
        1.08529,
        1.08062,
        1.08205,
        1.0821,
        1.07918,
        1.07725,
        1.07398,
        1.0597,
        1.05458,
        1.06205,
        1.06801,
        1.06032,
        1.06515,
        1.06805,
        1.06778,
        1.06672,
        1.06665,
        1.06939,
        1.07827,
        1.06399,
        1.06729,
        1.06341,
        1.05986,
        1.06972,
        1.0862,
        1.0722,
        1.08585,
        1.08667,
        1.082,
        1.07963,
        1.06706,
        1.07368,
        1.07683,
        1.08563,
        1.07995,
        1.06427,
        1.07056,
        1.06824,
        1.07118,
        1.0659,
        1.0688,
        1.07791,
        1.07488,
        1.06338,
        1.0532,
        1.06595,
        1.06966,
        1.06758,
        1.07861,
        1.07557,
        1.07082,
        1.07426,
        1.07662,
        1.07955,
        1.08474,
        1.07818,
        1.06443,
        1.06143,
        1.05505,
        1.05182,
        1.05584,
        1.05171,
        1.05413,
        1.06569,
        1.07447,
        1.07826,
        1.07567,
        1.06466,
        1.07192,
        1.07245,
        1.0775,
        1.07576,
        1.0688,
        1.07168,
        1.05733,
        1.06592,
        1.07091,
        1.06216,
        1.05351,
        1.0683,
        1.09167,
        1.08923,
        1.0956,
        1.09906,
        1.10056,
        1.10652,
        1.10428,
        1.11045,
        1.11745,
        1.12448,
        1.12774,
        1.11841,
        1.08104,
        1.03049,
        0.96456,
        0.918739,
        0.89307,
        0.882327,
        0.89336,
        0.885558,
        0.761895,
        0.5565,
        0.422264,
        0.484922,
        0.757086,
        0.977784,
        1.07195,
        1.11471,
        1.11644,
        1.10837,
        1.08088,
        1.08259,
        1.09354,
        1.10835,
        1.11965,
        1.12285,
        1.12182,
        1.11642,
        1.12004,
        1.12089,
        1.11383,
        1.11479,
        1.12464,
        1.12125,
        1.11117,
        1.09843,
        1.09236,
        1.10064,
        1.09751,
        1.09354,
        1.09659,
        1.10277,
        1.10662,
        1.10337,
        1.08987,
        1.10283,
        1.11608,
        1.11759,
        1.11982,
        1.13118,
        1.12109,
        1.12671,
        1.11773,
        1.1023,
        1.09288,
        1.09437,
        1.09783,
        1.10596,
        1.09152,
        1.10332,
        1.1179,
        1.1212,
        1.12651,
        1.12779,
        1.1308,
        1.13168,
        1.12866,
        1.12797,
        1.1358,
        1.13313,
        1.1239,
        1.12185,
        1.13372,
        1.14406,
        1.13866,
        1.13314,
        1.13197,
        1.12899,
        1.13419,
        1.13971,
        1.13847,
        1.1372,
        1.14328,
        1.13593,
        1.14107,
        1.15142,
        1.15727,
        1.15655,
        1.15179,
        1.15169,
        1.15717,
        1.15322,
        1.14782,
        1.15464,
        1.14028,
        1.14555,
        1.15477,
        1.16116,
        1.16635,
        1.16889,
        1.15388,
        1.15612,
        1.16512,
        1.1701,
        1.16376,
        1.15587,
        1.16945,
        1.15942,
        1.15116,
        1.16734,
        1.17543,
        1.16801,
        1.1703,
        1.17325,
        1.17284,
        1.17149,
        1.17817,
        1.17752,
        1.159,
        1.17667,
        1.20296,
        1.20158,
        1.19966,
        1.19878,
        1.19515,
        1.19583,
        1.1782,
        1.19223,
        1.20384,
        1.20709,
        1.2078,
        1.21255,
        1.19343,
        1.19682,
        1.20569,
        1.21052,
        1.20968,
        1.20727,
        1.20606,
        1.2059,
        1.20885,
        1.21468,
        1.21625,
        1.21294,
        1.22353,
        1.21634,
        1.21199,
        1.20838,
        1.20792,
        1.21356,
        1.22496,
        1.22963,
        1.22369,
        1.22407,
        1.22016,
        1.20999,
        1.20569,
        1.22385,
        1.22056,
        1.21836,
        1.22285,
        1.22114,
        1.20945,
        1.22174,
        1.22773,
        1.21009,
        1.21447,
        1.22266,
        1.21722,
        1.2147,
        1.22835,
        1.23331,
        1.23275,
        1.23022,
        1.2279,
        1.22526,
        1.21623,
        1.22904,
        1.23242,
        1.22919,
        1.2271,
        1.22916,
        1.22331,
        1.21582,
        1.21387,
        1.21276,
        1.21366,
        1.21524,
        1.2119,
        1.22019,
        1.21119,
        1.20053,
        1.20215,
        1.20942,
        1.20657,
        1.21414,
        1.21677,
        1.21824,
        1.2248,
        1.22941,
        1.22348,
        1.21424,
        1.21027,
        1.21459,
        1.20885,
        1.20812,
        1.2207,
        1.23123,
        1.22311,
        1.21545,
        1.20609,
        1.21438,
        1.22991,
        1.2257,
        1.22398,
        1.22787,
        1.21906,
        1.21368,
        1.21817,
        1.22904,
        1.23734,
        1.22595,
        1.23332,
        1.2347,
        1.2353,
        1.24041,
        1.24378,
        1.23851,
        1.23392,
        1.24069,
        1.24878,
        1.24793,
        1.23578,
        1.22346,
        1.22675,
        1.21437,
        1.21682,
        1.22228,
        1.21615,
        1.2159,
        1.21876,
        1.21686,
        1.21114,
        1.20303,
        1.1987,
        1.20621,
        1.21999,
        1.21992,
        1.20837,
        1.20368,
        1.20679,
        1.20528,
        1.18667,
        1.2079,
        1.21,
        1.197,
        1.18826,
        1.19471,
        1.20442,
        1.1991,
        1.17397,
        1.17927,
        1.18961,
        1.19385,
        1.19937,
        1.18756,
        1.19415,
        1.20038,
        1.19899,
        1.19651,
        1.20035,
        1.20555,
        1.18831,
        1.1912,
        1.19453,
        1.19384,
        1.18807,
        1.1793,
        1.18979,
        1.1792,
        1.18409,
        1.17097,
        1.15262,
        1.15641,
        1.16199,
        1.17606,
        1.17651,
        1.18017,
        1.17182,
        1.15359,
        1.15927,
        1.15402,
        1.16061,
        1.15967,
        1.1564,
        1.15782,
        1.16318,
        1.15287,
        1.15147,
        1.155,
        1.15279,
        1.14474,
        1.13585,
        1.1309,
        1.14972,
        1.15452,
        1.15958,
        1.15502,
        1.14099,
        1.13235,
        1.14408,
        1.14214,
        1.13722,
        1.13925,
        1.14043,
        1.13353,
        1.1345,
        1.13342,
        1.1451,
        1.14517,
        1.14322,
        1.14675,
        1.1495,
        1.155,
        1.13001,
        1.1338,
        1.14049,
        1.14487,
        1.15209,
        1.14142,
        1.14313,
        1.1364,
        1.13935,
        1.14873,
        1.15559,
        1.15441,
        1.13518,
        1.14941,
        1.1568,
        1.15475,
        1.15354,
        1.16007,
        1.15741,
        1.1563,
        1.16288,
        1.15766,
        1.16123,
        1.17648,
        1.16345,
        1.16778,
        1.16657,
        1.1553,
        1.13961,
        1.12902,
        1.1307,
        1.14088,
        1.12136,
        1.12117,
        1.13104,
        1.13696,
        1.13349,
        1.13149,
        1.14069,
        1.13512,
        1.13582,
        1.12834,
        1.11488,
        1.11215,
        1.11243,
        1.10908,
        1.1154,
        1.1011,
        1.08417,
        1.09215,
        1.11895,
        1.10556,
        1.07783,
        1.08311,
        1.08289,
        1.07156,
        1.08,
        1.07441,
        1.04616,
        1.04099,
        1.04141,
        1.04949,
        1.05354,
        1.05898,
        1.04216,
        1.06643,
        1.05156,
        1.0408,
        1.06325,
        1.08879,
        1.08268,
        1.06474,
        1.07387,
        1.04681,
        0.999914,
        0.956649,
        0.931644,
        0.923936,
        0.916815,
        0.927722,
        0.869113,
        0.722614,
        0.534539,
        0.427351,
        0.574102,
        0.856161,
        0.985572,
        0.855381,
        1.05943,
        1.08256,
        1.13266,
        1.09905,
        1.09768,
        1.09589,
        1.09586,
        1.10137,
        1.10775,
        1.09851,
        1.09626,
        1.09844,
        1.10188,
        1.10457,
        1.10618,
        1.1071,
        1.09763,
        1.09838,
        1.10041,
        1.10226,
        1.10481,
        1.10908,
        1.11364,
        1.10481,
        1.09411,
        1.08917,
        1.09096,
        1.09954,
        1.11467,
        1.10348,
        1.10395,
        1.11202,
        1.11799,
        1.11819,
        1.11578,
        1.11716,
        1.11731,
        1.1269,
        1.13191,
        1.1306,
        1.12923,
        1.13307,
        1.11537,
        1.12748,
        1.12613,
        1.1231,
        1.12201,
        1.11983,
        1.1209,
        1.12839,
        1.12265,
        1.12073,
        1.13125,
        1.14622,
        1.14807,
        1.14065,
        1.1409,
        1.15386,
        1.15352,
        1.14545,
        1.14102,
        1.1253,
        1.12656,
        1.1283,
        1.12487,
        1.1193,
        1.1173,
        1.12156,
        1.12155,
        1.12746,
        1.13223,
        1.12655,
        1.11713,
        1.11025,
        1.10062,
        1.09789,
        1.09624,
        1.10885,
        1.10871,
        1.09153,
        1.07855,
        1.09519,
        1.087,
        1.07959,
        1.08886,
        1.09221,
        1.08086,
        1.07806,
        1.08202,
        1.09255,
        1.09432,
        1.08713,
        1.08377,
        1.08825,
        1.07256,
        1.08147,
        1.07603,
        1.07758,
        1.08083,
        1.07823,
        1.07088,
        1.07336,
        1.06968,
        1.06354,
        1.05875,
        1.05405,
        1.05101,
        1.0576,
        1.05529,
        1.06097,
        1.0575,
        1.0508,
        1.04279,
        1.03521,
        1.04711,
        1.04939,
        1.04035,
        1.03388,
        1.04329,
        1.05963,
        1.0556,
        1.05227,
        1.04561,
        0.992764,
        0.996035,
        1.00482,
        1.02331,
        1.02874,
        1.03654,
        1.03612,
        1.04426,
        1.05179,
        1.04303,
        1.03337,
        1.03602,
        1.04077,
        1.04497,
        1.04042,
        1.04454,
        1.04931,
        1.04783,
        1.03734,
        1.03741,
        1.04942,
        1.04288,
        1.0422,
        1.04805,
        1.04232,
        1.04151,
        1.04631,
        1.03863,
        1.0411,
        1.04982,
        1.04708,
        1.03885,
        1.04781,
        1.03128,
        1.04372,
        1.046,
        1.03377,
        1.02223,
        1.03213,
        1.03595,
        1.01768,
        1.02114,
        1.02805,
        1.01226,
        1.03169,
        1.02567,
        1.0317,
        1.03842,
        1.03256,
        1.0331,
        1.04038,
        1.0469,
        1.02925,
        1.0601,
        1.04414,
        1.0406,
        1.04941,
        1.05562,
        1.05273,
        1.05087,
        1.05338,
        1.05016,
        1.04524,
        1.04616,
        1.05168,
        1.05327,
        1.04654,
        1.04232,
        1.04314,
        1.049,
        1.0496,
        1.04895,
        1.06223,
        1.0503,
        1.0477,
        1.05074,
        1.05437,
        1.05769,
        1.0638,
        1.05833,
        1.05775,
        1.04929,
        1.04452,
        1.04678,
        1.05176,
        1.05909,
        1.05524,
        1.0576,
        1.06057,
        1.05596,
        1.05222,
        1.06345,
        1.05329,
        1.04063,
        1.04275,
        1.04618,
        1.0473,
        1.04813,
        1.05092,
        1.04363,
        1.05619,
        1.05028,
        1.05342,
        1.05404,
        1.04459,
        1.03149,
        1.05153,
        1.04259,
        1.03835,
        1.04147,
        1.04877,
        1.04222,
        1.0441,
        1.05232,
        1.04492,
        1.04497,
        1.03547,
        1.03785,
        1.04855,
        1.04947,
        1.05962,
        1.057,
        1.05168,
        1.03471,
        1.03493,
        1.04462,
        1.04718,
        1.04991,
        1.04455,
        1.04626,
        1.05379,
        1.05271,
        1.04219,
        1.04078,
        1.03846,
        1.03662,
        1.04062,
        1.04714,
        1.04637,
        1.04352,
        1.03457,
        1.02741,
        1.02952,
        1.03441,
        1.03546,
        1.02921,
        1.03307,
        1.0313,
        1.02969,
        1.02362,
        1.02298,
        1.03269,
        1.04143,
        1.03829,
        1.0284,
        1.03369,
        1.02553,
        1.02482,
        1.02479,
        1.02719,
        1.01611,
        1.01981,
        1.02187,
        1.02511,
        1.0277,
        1.03511,
        1.03217,
        1.02363,
        1.03506,
        1.04157,
        1.02966,
        1.01945,
        1.02438,
        1.03248,
        1.02227,
        1.01374,
        1.01072,
        1.00997,
        1.01048,
        1.00574,
        1.00747,
        1.01233,
        1.00874,
        1.02356,
        1.0287,
        1.03132,
        1.02475,
        1.02231,
        1.03206,
        1.02844,
        1.02899,
        1.02359,
        1.0174,
        1.01905,
        1.02475,
        1.02042,
        1.02689,
        1.02759,
        1.02911,
        1.02487,
        1.01589,
        1.01406,
        1.02887,
        1.03231,
        1.02038,
        1.01901,
        1.02789,
        1.02929,
        1.02417,
        1.02625,
        1.02763,
        1.02507,
        1.0254,
        1.03037,
        1.02601,
        1.01543,
        1.01495,
        1.0238,
        1.03008,
        1.02229,
        1.02299,
        1.03511,
        1.03184,
        1.03685,
        1.03161,
        1.02714,
        1.0224,
        1.01905,
        1.0328,
        1.03786,
        1.03437,
        1.03822,
        1.03985,
        1.04234,
        1.04664,
        1.03924,
        1.05511,
        1.05611,
        1.04833,
        1.05065,
        1.05107,
        1.04308,
        1.04816,
        1.05079,
        1.05169,
        1.04353,
        1.04269,
        1.04758,
        1.03972,
        1.0491,
        1.05238,
        1.05188,
        1.05215,
        1.04812,
        1.08047,
        1.04601,
        1.05309,
        1.05026,
        1.04697,
        1.05122,
        1.06122,
        1.06871,
        1.05156,
        1.04015,
        1.04599,
        1.05149,
        1.05083,
        1.04558,
        1.03798,
        1.04349,
        1.06215,
        1.06818,
        1.06359,
        1.05905,
        1.06039,
        1.05883,
        1.04832,
        1.05215,
        1.05418,
        1.05641,
        1.05251,
        1.04596,
        1.04703,
        1.04625,
        1.04853,
        1.04879,
        1.04459,
        1.04,
        1.04046,
        1.0469,
        1.04808,
        1.0475,
        1.04393,
        1.04727,
        1.05237,
        1.04795,
        1.04894,
        1.04424,
        1.03565,
        1.04016,
        1.04757,
        1.04911,
        1.04509,
        1.04754,
        1.04404,
        1.04651,
        1.04455,
        1.04359,
        1.04571,
        1.04203,
        1.03702,
        1.0415,
        1.03559,
        1.03019,
        1.03332,
        1.04004,
        1.04255,
        1.04009,
        1.04067,
        1.03555,
        1.03905,
        1.04342,
        1.0434,
        1.05554,
        1.0445,
        1.04574,
        1.04743,
        1.04885,
        1.04906,
        1.04518,
        1.04059,
        1.05003,
        1.05747,
        1.06038,
        1.06054,
        1.06328,
        1.06607,
        1.05717,
        1.06532,
        1.07425,
        1.06453,
        1.05532,
        1.06017,
        1.05768,
        1.05934,
        1.04931,
        1.05478,
        1.0636,
        1.06842,
        1.06156,
        1.05213,
        1.06977,
        1.07186,
        1.07266,
        1.06303,
        1.06599,
        1.08184,
        1.07198,
        1.06849,
        1.07044,
        1.07227,
        1.07441,
        1.07346,
        1.08068,
        1.07805,
        1.07494,
        1.06774,
        1.06812,
        1.07024,
        1.07593,
        1.06893,
        1.0793,
        1.0716,
        1.08264,
        1.07773,
        1.07281,
        1.07405,
        1.07405,
        1.07641,
        1.07436,
        1.06582,
        1.06973,
        1.06803,
        1.07615,
        1.06448,
        1.06387,
        1.07479,
        1.07263,
        1.07572,
        1.06875,
        1.06798,
        1.06571,
        1.07205,
        1.06202,
        1.06542,
        1.06968,
        1.06367,
        1.07254,
        1.06989,
        1.07382,
        1.07821,
        1.08295,
        1.0711,
        1.06466,
        1.06027,
        1.06928,
        1.07452,
        1.0615,
        1.05919,
        1.05904,
        1.05887,
        1.06764,
        1.07068,
        1.06444,
        1.05764,
        1.0694,
        1.07099,
        1.07735,
        1.07562,
        1.07697,
        1.07766,
        1.07677,
        1.08726,
        1.08487,
        1.0761,
        1.08368,
        1.08741,
        1.08526,
        1.08877,
        1.09063,
        1.0729,
        1.07644,
        1.0822,
        1.08284,
        1.08396,
        1.07619,
        1.0647,
        1.07489,
        1.07537,
        1.07319,
        1.0779,
        1.07663,
        1.08081,
        1.08273,
        1.0769,
        1.07029,
        1.07119,
        1.07895,
        1.0841,
        1.08183,
        1.07808,
        1.06965,
        1.07763,
        1.07715,
        1.07787,
        1.08591,
        1.08494,
        1.06509,
        1.09522,
        1.07177,
        1.05589,
        1.05285,
        1.06251,
        1.07293,
        1.06826,
        1.08011,
        1.07642,
        1.07355,
        1.0712,
        1.07215,
        1.07778,
        1.08264,
        1.06993,
        1.07631,
        1.0786,
        1.07759,
        1.07303,
        1.06605,
        1.06505,
        1.08122,
        1.07868,
        1.08173,
        1.07885,
        1.06735,
        1.05763,
        1.06228,
        1.06416,
        1.07114,
        1.0774,
        1.0729,
        1.06325,
        1.06252,
        1.06516,
        1.05529,
        1.05352,
        1.05188,
        1.05506,
        1.06396,
        1.07229,
        1.07578,
        1.07321,
        1.08191,
        1.07557,
        1.07203,
        1.0767,
        1.06827,
        1.08617,
        1.07687,
        1.06734,
        1.06668,
        1.07077,
        1.07687,
        1.0871,
        1.07399,
        1.08437,
        1.0856,
        1.08344,
        1.08131,
        1.0782,
        1.07237,
        1.07298,
        1.06961,
        1.07276,
        1.07411,
        1.06762,
        1.05516,
        1.04892,
        1.0734,
        1.05933,
        1.0585,
        1.06914,
        1.08137,
        1.08752,
        1.0836,
        1.08831,
        1.09569,
        1.03942,
        1.02008,
        1.05598,
        1.08434,
        1.0808,
        1.08426,
        1.09212,
        1.08537,
        1.09109,
        1.10127,
        1.09001,
        1.09051,
        1.09691,
        1.09243,
        1.07824,
        1.08029,
        1.09857,
        1.10835,
        1.10551,
        1.08407,
        1.09494,
        1.10393,
        1.10927,
        1.1054,
        1.08693,
        1.09946,
        1.09911,
        1.09872,
        1.09552,
        1.10031,
        1.10769,
        1.10089,
        1.11132,
        1.11042,
        1.11281,
        1.10872,
        1.10507,
        1.10265,
        1.09293,
        1.09977,
        1.10685,
        1.11593,
        1.10566,
        1.10051,
        1.1131,
        1.11638,
        1.10897,
        1.10943,
        1.1137,
        1.11279,
        1.11617,
        1.12248,
        1.11095,
        1.10991,
        1.11052,
        1.10957,
        1.1079,
        1.10417,
        1.11304,
        1.12229,
        1.11939,
        1.12492,
        1.12131,
        1.09878,
        1.10593,
        1.12295,
        1.11108,
        1.1033,
        1.10868,
        1.11469,
        1.11202,
        1.11509,
        1.10632,
        1.11497,
        1.11285,
        1.10688,
        1.1037,
        1.10525,
        1.11175,
        1.11813,
        1.11651,
        1.12469,
        1.12872,
        1.12758,
        1.12983,
        1.13455,
        1.13246,
        1.13805,
        1.13772,
        1.13948,
        1.14206,
        1.13958,
        1.13529,
        1.1325,
        1.13614,
        1.13845,
        1.13806,
        1.13792,
        1.13989,
        1.13865,
        1.12978,
        1.14943,
        1.15334,
        1.14195,
        1.13839,
        1.14933,
        1.13203,
        1.14295,
        1.13229,
        1.13966,
        1.14116,
        1.13258,
        1.12816,
        1.12786,
        1.14436,
        1.14473,
        1.13942,
        1.14928,
        1.16156,
        1.15373,
        1.13927,
        1.14948,
        1.13905,
        1.15419,
        1.16564,
        1.16473,
        1.1606,
        1.15254,
        1.13689,
        1.11805,
        1.07394,
        1.02803,
        0.998441,
        0.986601,
        0.984131,
        0.959927,
        0.960103,
        0.84788,
        0.638433,
        0.488037,
        0.566361,
        0.87349,
        1.04736,
        1.16759,
        1.14362,
        1.13845,
        1.1464,
        1.15734,
        1.1513,
        1.12559,
        1.10761,
        1.12643,
        1.13882,
        1.12874,
        1.12972,
        1.14222,
        1.15259,
        1.15376,
        1.15196,
        1.15561,
        1.15167,
        1.14868,
        1.14927,
        1.14488,
        1.12697,
        1.13663,
        1.13755,
        1.12073,
        1.12877,
        1.14115,
        1.137,
        1.12803,
        1.13471,
        1.13288,
        1.12816,
        1.1389,
        1.14712,
        1.14404,
        1.14074,
        1.1284,
        1.13647,
        1.12754,
        1.12932,
        1.12987,
        1.1271,
        1.12993,
        1.11226,
        1.13567,
        1.12249,
        1.13178,
        1.13133,
        1.11893,
        1.12255,
        1.12992,
        1.10929,
        1.12248,
        1.1278,
        1.1176,
        1.11052,
        1.11923,
        1.11068,
        1.12573,
        1.11504,
        1.1175,
        1.11266,
        1.10683,
        1.11075,
        1.09688,
        1.09269,
        1.09509,
        1.09504,
        1.09515,
        1.09215,
        1.0879,
        1.09591,
        1.09323,
        1.06282,
        1.11016,
        1.12495,
        1.09954,
        1.08384,
        1.09352,
        1.09022,
        1.09251,
        1.08683,
        1.0967,
        1.095,
        1.09189,
        1.09011,
        1.09131,
        1.08824,
        1.07973,
        1.07992,
        1.08007,
        1.07585,
        1.07936,
        1.08342,
        1.08794,
        1.08073,
        1.07573,
        1.07075,
        1.0744,
        1.08314,
        1.08359,
        1.0662,
        1.06091,
        1.07086,
        1.08057,
        1.08048,
        1.07815,
        1.05899,
        1.06806,
        1.05524,
        1.06131,
        1.06172,
        1.06373,
        1.05554,
        1.03468,
        1.06168,
        1.04236,
        1.07052,
        1.05931,
        1.03306,
        1.05702,
        1.05111,
        1.04481,
        1.04004,
        1.04691,
        1.04422,
        1.04081,
        1.04542,
        1.05231,
        1.04656,
        1.0405,
        1.04565,
        1.04332,
        1.04726,
        1.04484,
        1.04375,
        1.05402,
        1.04238,
        1.04776,
        1.04795,
        1.04993,
        1.05106,
        1.05223,
        1.0475,
        1.03851,
        1.04289,
        1.04673,
        1.05406,
        1.05446,
        1.05148,
        1.05051,
        1.04333,
        1.05792,
        1.06916,
        1.06191,
        1.06135,
        1.05735,
        1.04027,
        1.04227,
        1.05924,
        1.05766,
        1.04765,
        1.03703,
        1.03191,
        1.02819,
        1.02239,
        1.03049,
        1.02646,
        1.02871,
        1.03447,
        1.03313,
        1.04974,
        1.0496,
        1.04667,
        1.05225,
        1.05406,
        1.04644,
        1.05064,
        1.05769,
        1.06369,
        1.05511,
        1.05421,
        1.06382,
        1.06582,
        1.05793,
        1.04798,
        1.05592,
        1.04521,
        1.03631,
        1.05334,
        1.06141,
        1.04938,
        1.03773,
        1.04301,
        1.05194,
        1.0502,
        1.04756,
        1.03576,
        1.03363,
        1.04191,
        1.0305,
        1.04237,
        1.02748,
        1.02022,
        1.0245,
        1.02716,
        1.02096,
        1.01006,
        1.01867,
        1.01018,
        1.01555,
        1.00603,
        0.99804,
        1.01906,
        1.02833,
        1.06493,
        1.0726,
        1.01886,
        1.07007,
        1.02171,
        1.01263,
        1.01601,
        1.01686,
        1.02446,
        1.03562,
        1.04047,
        1.03349,
        1.01591,
        1.02149,
        1.03857,
        1.04993,
        1.05141,
        1.04592,
        1.04703,
        1.04905,
        1.05301,
        1.04805,
        1.04545,
        1.0535,
        1.05896,
        1.05409,
        1.06174,
        1.04325,
        1.05791,
        1.0597,
        1.04986,
        1.04494,
        1.0487,
        1.04465,
        1.05822,
        1.04966,
        1.04673,
        1.05945,
        1.06231,
        1.06365,
        1.06199,
        1.06832,
        1.05281,
        1.0565,
        1.05129,
        1.05234,
        1.05576,
        1.05381,
        1.05346,
        1.04067,
        1.03664,
        1.04174,
        1.04942,
        1.05498,
        1.04432,
        1.03135,
        1.05083,
        1.03944,
        1.01928,
        1.01925,
        1.02086,
        1.01748,
        1.02551,
        1.01613,
        1.02102,
        1.0333,
        1.03092,
        1.02206,
        1.02702,
        1.04032,
        1.02789,
        1.03166,
        1.03232,
        1.04285,
        1.03334,
        1.02437,
        1.01556,
        1.02699,
        1.03142,
        1.03874,
        1.03693,
        1.03957,
        1.04886,
        1.03905,
        1.04681,
        1.03647,
        1.03083,
        1.03898,
        1.05306,
        1.05708,
        1.03988,
        1.03844,
        1.05603,
        1.04061,
        1.03719,
        1.04363,
        1.06158,
        1.04668,
        1.06095,
        1.03607,
        1.03156,
        1.03635,
        1.05043,
        1.03917,
        1.06643,
        1.07637,
        1.10232,
        1.07889,
        1.09769,
        1.11393,
        1.10068,
        1.105,
        1.11154,
        1.10685,
        1.11044,
        1.11093,
        1.11454,
        1.11394,
        1.10736,
        1.10987,
        1.1009,
        1.09072,
        1.08687,
        1.08578,
        1.11557,
        1.11177,
        1.12075,
        1.12852,
        1.12176,
        1.11773,
        1.12614,
        1.12703,
        1.11974,
        1.13054,
        1.13132,
        1.13441,
        1.12248,
        1.09322,
        1.05018,
        0.985034,
        0.967561,
        0.9383,
        0.919359,
        0.905581,
        0.898081,
        0.864316,
        0.737942,
        0.514349,
        0.436256,
        0.638111,
        0.892895,
        1.05879,
        1.12467,
        1.14275,
        1.14827,
        1.12881,
        1.09028,
        1.06577,
        1.08402,
        1.0792,
        1.09076,
        1.08924,
        1.086,
        1.07846,
        1.07974,
        1.09093,
        1.07949,
        1.08727,
        1.092,
        1.09006,
        1.08874,
        1.09316,
        1.08537,
        1.08975,
        1.08651,
        1.0772,
        1.07904,
        1.07373,
        1.07794,
        1.0871,
        1.06695,
        1.06972,
        1.07333,
        1.08037,
        1.07222,
        1.06684,
        1.07783,
        1.08537,
        1.08483,
        1.09252,
        1.095,
        1.09166,
        1.09889,
        1.10126,
        1.10667,
        1.11254,
        1.10491,
        1.10363,
        1.10591,
        1.10381,
        1.11079,
        1.10383,
        1.10752,
        1.10311,
        1.10968,
        1.10684,
        1.11183,
        1.10995,
        1.10937,
        1.11252,
        1.10606,
        1.10779,
        1.11096,
        1.12157,
        1.12171,
        1.13414,
        1.12492,
        1.12586,
        1.11443,
        1.11629,
        1.13006,
        1.12033,
        1.10501,
        1.09365,
        1.10222,
        1.09429,
        1.08829,
        1.0946,
        1.10099,
        1.09422,
        1.09504,
        1.07917,
        1.07329,
        1.07364,
        1.07086,
        1.06686,
        1.06502,
        1.06651,
        1.07356,
        1.06964,
        1.06256,
        1.07007,
        1.07151,
        1.06282,
        1.05497,
        1.05315,
        1.04498,
        1.05587,
        1.05332,
        1.0522,
        1.04662,
        1.04499,
        1.04705,
        1.0458,
        1.04482,
        1.03697,
        1.03393,
        1.03636,
        1.03948,
        1.0345,
        1.02838,
        1.03002,
        1.02861,
        1.01833,
        1.02816,
        1.01207,
        1.01205,
        1.01139,
        1.00954,
        1.01437,
        1.00857,
        0.98871,
        0.983821,
        0.985124,
        0.977736,
        0.979734,
        0.993698,
        1.00359,
        0.997654,
        0.996302,
        1.00286,
        1.00714,
        1.00574,
        1.00936,
        1.01343,
        1.00995,
        1.00365,
        1.00371,
        1.01417,
        1.01793,
        1.02046,
        1.02209,
        1.0211,
        1.01525,
        1.00673,
        1.00814,
        1.00271,
        1.00804,
        1.01183,
        1.01595,
        1.02502,
        1.03353,
        1.031,
        1.02371,
        1.02171,
        1.0156,
        1.0261,
        1.02898,
        1.03027,
        1.03466,
        1.03485,
        1.03332,
        1.03091,
        1.02065,
        1.02827,
        1.04006,
        1.03381,
        1.02697,
        1.03955,
        1.03887,
        1.03791,
        1.03921,
        1.04289,
        1.04345,
        1.04292,
        1.0427,
        1.04252,
        1.04207,
        1.03682,
        1.02996,
        1.04816,
        1.05664,
        1.04703,
        1.03769,
        1.03955,
        1.03975,
        1.03818,
        1.04206,
        1.05182,
        1.04975,
        1.04019,
        1.03633,
        1.03961,
        1.0406,
        1.04416,
        1.03446,
        1.03352,
        1.03458,
        1.0359,
        1.03713,
        1.03541,
        1.03172,
        1.03655,
        1.04117,
        1.043,
        1.05298,
        1.05158,
        1.04367,
        1.03616,
        1.03223,
        1.03539,
        1.04593,
        1.034,
        1.02578,
        1.02902,
        1.03194,
        1.03711,
        1.03751,
        1.01786,
        1.02015,
        1.03085,
        1.02919,
        1.04438,
        1.04528,
        1.03641,
        1.03021,
        1.02644,
        1.03195,
        1.0335,
        1.03944,
        1.02883,
        1.03183,
        1.04447,
        1.04926,
        1.04268,
        1.04224,
        1.04279,
        1.04644,
        1.03778,
        1.0309,
        1.03815,
        1.04749,
        1.0448,
        1.03782,
        1.03742,
        1.03958,
        1.04169,
        1.03532,
        1.03337,
        1.03929,
        1.04378,
        1.0381,
        1.03077,
        1.0369,
        1.04345,
        1.03744,
        1.03273,
        1.02975,
        1.02706,
        1.02411,
        1.01748,
        1.02316,
        1.02853,
        1.02216,
        1.01387,
        1.00194,
        1.02305,
        1.02473,
        1.01745,
        1.01216,
        1.02022,
        1.00604,
        1.00632,
        1.00799,
        1.00439,
        1.00428,
        1.00712,
        1.0095,
        1.009,
        1.00521,
        1.00666,
        0.995715,
        1.0085,
        1.01506,
        1.01795,
        1.02132,
        1.0205,
        1.01157,
        1.01128,
        1.00756,
        1.00369,
        1.01999,
        1.02382,
        1.02194,
        1.02211,
        1.0186,
        1.01539,
        1.0185,
        1.03001,
        1.02522,
        1.02805,
        1.03198,
        1.03655,
        1.04267,
        1.04475,
        1.05448,
        1.03457,
        1.03739,
        1.03668,
        1.03593,
        1.04257,
        1.04721,
        1.04007,
        1.04642,
        1.05247,
        1.04916,
        1.05395,
        1.04537,
        1.04,
        1.04499,
        1.04839,
        1.04096,
        1.04379,
        1.04684,
        1.02297,
        1.03315,
        1.03931,
        1.04472,
        1.05085,
        1.04307,
        1.04339,
        1.04876,
        1.03539,
        1.04406,
        1.054,
        1.05872,
        1.06205,
        1.06278,
        1.05346,
        1.05173,
        1.05742,
        1.05637,
        1.05288,
        1.05325,
        1.05745,
        1.06503,
        1.07378,
        1.07452,
        1.09014,
        1.07616,
        1.06936,
        1.07719,
        1.08112,
        1.07277,
        1.063,
        1.06378,
        1.06084,
        1.08837,
        1.07446,
        1.07399,
        1.071,
        1.06395,
        1.067,
        1.08014,
        1.07321,
        1.06777,
        1.06135,
        1.0655,
        1.06377,
        1.05539,
        1.04563,
        1.04108,
        1.04617,
        1.05408,
        1.05489,
        1.04879,
        1.04913,
        1.05959,
        1.0649,
        1.06171,
        1.0615,
        1.06611,
        1.0588,
        1.05682,
        1.05563,
        1.06007,
        1.06114,
        1.05247,
        1.04619,
        1.0564,
        1.05339,
        1.0629,
        1.05128,
        1.05478,
        1.05838,
        1.06157,
        1.06866,
        1.07529,
        1.07708,
        1.08786,
        1.09313,
        1.0883,
        1.08593,
        1.08378,
        1.06406,
        1.04163,
        1.00335,
        0.959048,
        0.920154,
        0.91666,
        0.900589,
        0.892349,
        0.884277,
        0.852448,
        0.762701,
        0.616414,
        0.518292,
        0.666669,
        0.91113,
        1.05007,
        1.09628,
        1.11558,
        1.10458,
        1.09519,
        1.06472,
        1.07242,
        1.05014,
        1.06478,
        1.08177,
        1.07861,
        1.08278,
        1.07535,
        1.06887,
        1.06319,
        1.05858,
        1.05596,
        1.05356,
        1.06478,
        1.06652,
        1.07161,
        1.07107,
        1.06223,
        1.05269,
        1.04716,
        1.03739,
        1.04637,
        1.04944,
        1.05318,
        1.04352,
        1.04278,
        1.05002,
        1.04931,
        1.06683,
        1.07565,
        1.06978,
        1.07409,
        1.08194,
        1.07457,
        1.0698,
        1.07445,
        1.06963,
        1.07038,
        1.07093,
        1.06603,
        1.06782,
        1.07872,
        1.08269,
        1.07581,
        1.06709,
        1.06125,
        1.0582,
        1.04366,
        1.04817,
        1.04864,
        1.05664,
        1.05882,
        1.05356,
        1.05321,
        1.05679,
        1.07351,
        1.07592,
        1.07543,
        1.0717,
        1.07204,
        1.07083,
        1.07228,
        1.0672,
        1.0725,
        1.07293,
        1.05789,
        1.06491,
        1.06923,
        1.06534,
        1.05294,
        1.04581,
        1.05628,
        1.05945,
        1.04351,
        1.03398,
        1.03606,
        1.03582,
        1.04123,
        1.0486,
        1.0444,
        1.03562,
        1.05592,
        1.07396,
        1.05722,
        1.03896,
        1.03033,
        1.03398,
        1.03646,
        1.03482,
        1.03142,
        1.03096,
        1.02736,
        1.02085,
        1.02697,
        1.02992,
        1.02754,
        1.02239,
        1.01856,
        1.01409,
        1.0254,
        1.03292,
        1.02884,
        1.02805,
        1.03196,
        1.03455,
        1.03623,
        1.03956,
        1.03639,
        1.03599,
        1.03865,
        1.03292,
        1.03556,
        1.04012,
        1.03719,
        1.0313,
        1.0337,
        1.03339,
        1.04053,
        1.03992,
        1.02425,
        1.03501,
        1.03299,
        1.03647,
        1.03849,
        1.0431,
        1.04705,
        1.05095,
        1.04707,
        1.03529,
        1.03432,
        1.03633,
        1.03466,
        1.02868,
        1.02579,
        1.02437,
        1.02117,
        1.02723,
        1.0221,
        1.0262,
        1.02666,
        1.02469,
        1.02601,
        1.02233,
        1.01865,
        1.01525,
        1.02215,
        1.01062,
        1.02208,
        1.0267,
        1.0248,
        1.03062,
        1.04161,
        1.03961,
        1.02366,
        1.03121,
        1.02087,
        1.02193,
        1.0271,
        1.03328,
        1.02895,
        1.01585,
        1.02436,
        1.0372,
        1.03791,
        1.02789,
        1.04033,
        1.04109,
        1.03746,
        1.03896,
        1.03844,
        1.0513,
        1.03411,
        1.04495,
        1.04954,
        1.04674,
        1.04255,
        1.04291,
        1.04625,
        1.04502,
        1.03564,
        1.03708,
        1.03428,
        1.03955,
        1.04782,
        1.04218,
        1.02847,
        1.0272,
        1.02815,
        1.03966,
        1.03045,
        1.03617,
        1.02408,
        1.02482,
        1.02398,
        1.02077,
        1.02619,
        1.03149,
        1.03118,
        1.0288,
        1.02847,
        1.01796,
        1.01458,
        1.01678,
        1.01301,
        1.02025,
        0.991544,
        0.993834,
        0.978689,
        0.999024,
        0.997177,
        0.978247,
        0.98236,
        0.98921,
        0.970582,
        0.991216,
        0.990285,
        0.983195,
        1.02925,
        1.03042,
        1.0273,
        1.02385,
        0.981736,
        0.97275,
        0.993042,
        0.995973,
        1.00976,
        1.01049,
        0.983544,
        0.982708,
        0.984754,
        0.980254,
        0.972475,
        0.977775,
        0.974385,
        0.980992,
        0.993421,
        1.00506,
        1.01822,
        0.974537,
        0.985769,
        1.00362,
        0.992432,
        1.00221,
        1.00376,
        0.991822,
        0.996041,
        1.00261,
        1.01601,
        1.03079,
        1.02842,
        1.02895,
        1.03573,
        1.02213,
        1.01635,
        1.01187,
        1.02672,
        1.02677,
        1.03053,
        1.03388,
        1.03178,
        1.03086,
        1.02784,
        1.02772,
        1.03247,
        1.02139,
        1.00701,
        1.00977,
        1.01445,
        1.02045,
        1.02302,
        1.01849,
        1.01216,
        1.02124,
        1.0115,
        1.01731,
        1.01765,
        1.02486,
        1.02211,
        1.0163,
        1.02406,
        1.03105,
        1.03347,
        1.02296,
        1.0352,
        1.03708,
        1.03751,
        1.03501,
        1.0333,
        1.03588,
        1.03344,
        1.04097,
        1.03219,
        1.0294,
        1.0318,
        1.02641,
        1.02058,
        1.02473,
        1.03218,
        1.03731,
        1.04477,
        1.03238,
        1.03412,
        1.0313,
        1.03353,
        1.03961,
        1.04264,
        1.04964,
        1.02828,
        1.0316,
        1.03864,
        1.0335,
        1.05218,
        1.08302,
        1.08941,
        1.0828,
        1.0487,
        0.92741,
        0.812199,
        0.933315,
        1.02375,
        1.03649,
        1.03875,
        1.05198,
        1.05284,
        1.05118,
        1.04029,
        1.03476,
        1.04778,
        1.0438,
        1.04136,
        1.04301,
        1.05017,
        1.05311,
        1.04571,
        1.0392,
        1.05458,
        1.05568,
        1.05162,
        1.03878,
        1.04009,
        1.04813,
        1.0457,
        1.04236,
        1.04128,
        1.04973,
        1.05388,
        1.04837,
        1.05391,
        1.0635,
        1.0709,
        1.05846,
        1.0601,
        1.05708,
        1.06218,
        1.05995,
        1.05961,
        1.06724,
        1.06542,
        1.06211,
        1.06044,
        1.06709,
        1.06589,
        1.06953,
        1.07036,
        1.05921,
        1.06234,
        1.07171,
        1.07116,
        1.07057,
        1.06268,
        1.0543,
        1.05911,
        1.0613,
        1.05357,
        1.04579,
        1.0561,
        1.05324,
        1.04079,
        1.05384,
        1.04578,
        1.04375,
        1.04688,
        1.05198,
        1.05682,
        1.05578,
        1.07371,
        1.06214,
        1.06417,
        1.06047,
        1.05881,
        1.04603,
        1.03653,
        1.05302,
        1.05457,
        1.07284,
        1.06374,
        1.0527,
        1.06001,
        1.065,
        1.07065,
        1.08221,
        1.09444,
        1.10784,
        1.0964,
        1.08808,
        1.10387,
        1.10714,
        1.0909,
        1.05081,
        0.996338,
        0.943032,
        0.899673,
        0.869809,
        0.893362,
        0.897987,
        0.886365,
        0.866695,
        0.83006,
        0.771038,
        0.738221,
        0.812701,
        0.943584,
        1.01794,
        1.07632,
        1.06674,
        0.966187,
        1.02403,
        1.0465,
        1.0582,
        1.04511,
        1.04303,
        1.05636,
        1.06947,
        1.07977,
        1.0837,
        1.08476,
        1.07408,
        1.05227,
        1.05598,
        1.06997,
        1.0775,
        1.07992,
        1.09013,
        1.08387,
        1.06003,
        1.03531,
        1.02844,
        1.04355,
        1.02908,
        1.03472,
        1.04835,
        1.05465,
        1.04888,
        1.04935,
        1.06322,
        1.07821,
        1.08358,
        1.05869,
        1.07242,
        1.08304,
        1.08422,
        1.08398,
        1.08348,
        1.08643,
        1.09512,
        1.09704,
        1.09935,
        1.08744,
        1.09054,
        1.08645,
        1.08992,
        1.0899,
        1.08653,
        1.09361,
        1.09517,
        1.0879,
        1.08312,
        1.08945,
        1.09067,
        1.09397,
        1.08305,
        1.05506,
        1.03825,
        1.05185,
        1.06206,
        1.06394,
        1.05087,
        1.05307,
        1.0597,
        1.05924,
        1.04909,
        1.04168,
        1.05813,
        1.05164,
        1.02553,
        1.0208,
        1.00487,
        1.00842,
        1.01928,
        1.01898,
        1.01136,
        1.00751,
        1.01909,
        1.03502,
        1.02552,
        1.02151,
        1.02423,
        1.01953,
        1.0086,
        1.00711,
        1.01785,
        1.03117,
        1.02456,
        1.02802,
        1.02885,
        1.03499,
        1.03537,
        1.02884,
        1.02436,
        1.0207,
        1.02592,
        1.01867,
        1.01138,
        1.01881,
        1.03366,
        1.03254,
        1.0212,
        1.01766,
        1.01848,
        1.0299,
        1.00711,
        1.03587,
        1.04082,
        1.03555,
        1.01578,
        1.00739,
        1.01482,
        1.01278,
        1.04817,
        1.02173,
        0.981944,
        1.00314,
        1.01257,
        1.0087,
        1.00935,
        1.01544,
        1.01683,
        1.01759,
        1.02196,
        1.02262,
        1.01584,
        1.02346,
        1.02918,
        1.02576,
        1.0182,
        1.01191,
        1.00722,
        1.00036,
        1.01554,
        1.02262,
        1.02398,
        1.01436,
        1.00346,
        0.998723,
        1.00162,
        1.01011,
        0.997322,
        1.00323,
        1.00067,
        1.00265,
        0.999742,
        0.99808,
        0.995704,
        0.983608,
        0.961856,
        0.938154,
        0.971515,
        0.991359,
        0.998244,
        1.00218,
        0.997199,
        0.984437,
        0.97721,
        0.983551,
        0.989628,
        1.0078,
        1.00617,
        0.997433,
        0.994987,
        1.00458,
        1.0131,
        1.00624,
        0.983005,
        0.961331,
        1.00749,
        1.018,
        1.01651,
        1.00458,
        1.00025,
        1.00609,
        1.01709,
        1.01859,
        0.993606,
        0.993416,
        1.01312,
        1.01293,
        1.01027,
        1.01556,
        1.0136,
        0.997938,
        0.988291,
        1.00553,
        1.0215,
        1.01592,
        1.02541,
        1.03025,
        1.03984,
        1.03471,
        1.0213,
        1.01537,
        1.021,
        1.04285,
        1.04107,
        1.04627,
        1.03626,
        1.04253,
        1.04303,
        1.03554,
        1.03298,
        1.04023,
        1.04457,
        1.03369,
        1.05343,
        1.04712,
        1.03627,
        1.03064,
        1.03504,
        1.03989,
        1.03868,
        1.03651,
        1.02839,
        1.02771,
        1.03629,
        1.02257,
        1.00229,
        1.01584,
        1.02889,
        1.02069,
        1.02138,
        1.02834,
        1.01966,
        1.01414,
        1.02437,
        1.04098,
        1.03025,
        1.00725,
        0.996256,
        0.99898,
        1.00225,
        1.01059,
        1.02429,
        1.01383,
        0.981636,
        0.981924,
        0.990179,
        0.997603,
        1.00899,
        1.01573,
        1.01498,
        1.0147,
        1.01482,
        1.01443,
        1.02073,
        1.01742,
        1.01188,
        1.00565,
        0.998497,
        1.00588,
        1.01461,
        1.00692,
        1.00388,
        1.00801,
        1.02401,
        1.03614,
        1.01535,
        0.988267,
        1.00337,
        1.00357,
        1.00697,
        1.00742,
        1.01044,
        1.01274,
        1.0099,
        1.0077,
        1.004,
        1.00876,
        1.04673,
        1.00187,
        0.974976,
        0.968663,
        0.999949,
        1.03293,
        1.03703,
        1.01982,
        1.02305,
        1.03525,
        1.03745,
        1.02072,
        1.02542,
        1.02644,
        1.02006,
        1.01072,
        1.01515,
        1.04569,
        1.0305,
        1.00269,
        0.994776,
        1.0044,
        1.02421,
        1.04377,
        1.03818,
        1.00326,
        1.01459,
        1.0276,
        1.00606,
        1.01414,
        1.02907,
        1.03021,
        1.02311,
        1.00792,
        0.991582,
        0.990804,
        1.01618,
        1.02111,
        1.02457,
        1.02738,
        1.03256,
        1.0305,
        1.03033,
        1.03512,
        1.03581,
        1.04247,
        1.03255,
        1.02708,
        1.03601,
        1.03748,
        1.03062,
        1.01547,
        1.01646,
        1.01638,
        1.02317,
        1.01881,
        1.02527,
        1.03605,
        1.04213,
        1.03381,
        1.03232,
        1.0413,
        1.04867,
        1.05677,
        1.03926,
        1.03736,
        1.037,
        1.02796,
        1.02039,
        1.02204,
        1.02946,
        1.01893,
        1.02493,
        1.0287,
        1.0288,
        1.0185,
        1.0252,
        1.03693,
        1.0479,
        1.04705,
        1.03698,
        1.04769,
        1.06689,
        1.05686,
        1.05365,
        1.04012,
        1.04548,
        1.0488,
        1.04496,
        1.05862,
        1.06411,
        1.01512,
        1.04155,
        1.08936,
        1.01554,
        1.01829,
        1.01462,
        1.01606,
        1.01476,
        1.02504,
        1.04273,
        1.05906,
        1.06448,
        1.03284,
        1.03298,
        1.04215,
        1.04959,
        1.05257,
        1.05336,
        1.05042,
        1.04283,
        1.04129,
        1.04687,
        1.04454,
        1.05608,
        1.05759,
        1.05504,
        1.03891,
        1.04598,
        1.06554,
        1.07756,
        1.07834,
        1.07426,
        1.09498,
        1.10646,
        1.10298,
        1.09117,
        1.0873,
        1.07619,
        1.04018,
        0.994378,
        0.956024,
        0.935401,
        0.894601,
        0.894117,
        0.883831,
        0.884557,
        0.876248,
        0.830694,
        0.725228,
        0.639371,
        0.749831,
        0.924074,
        1.02625,
        1.06418,
        1.07046,
        1.09434,
        1.0675,
        1.081,
        1.09415,
        1.10399,
        1.08959,
        1.06652,
        1.05612,
        1.06216,
        1.06841,
        1.07051,
        1.07741,
        1.07904,
        1.08508,
        1.09072,
        1.08431,
        1.08185,
        1.08234,
        1.08048,
        1.07602,
        1.06856,
        1.06822,
        1.06717,
        1.08571,
        1.08346,
        1.08345,
        1.08978,
        1.09637,
        1.0965,
        1.09598,
        1.09256,
        1.08373,
        1.08762,
        1.08845,
        1.0962,
        1.10735,
        1.0899,
        1.1111,
        1.1114,
        1.09836,
        1.09645,
        1.10134,
        1.09758,
        1.09685,
        1.09929,
        1.11194,
        1.10785,
        1.10942,
        1.10751,
        1.10373,
        1.09931,
        1.09398,
        1.09062,
        1.09205,
        1.10043,
        1.09468,
        1.09392,
        1.08872,
        1.07733,
        1.07852,
        1.09555,
        1.09176,
        1.05344,
        1.05168,
        1.04869,
        1.04792,
        1.08947,
        1.06933,
        1.04586,
        1.04927,
        1.04548,
        1.06109,
        1.05575,
        1.05952,
        1.05471,
        1.04607,
        1.04166,
        1.0526,
        1.03541,
        1.05795,
        1.02503,
        1.02631,
        1.02661,
        1.03869,
        1.0303,
        1.0277,
        1.02508,
        1.02803,
        1.02843,
        1.02122,
        1.02368,
        1.0346,
        1.03974,
        1.02762,
        1.01954,
        1.03065,
        1.02047,
        1.01613,
        1.03451,
        1.03666,
        1.00253,
        0.99928,
        1.00606,
        1.02364,
        1.02503,
        1.02297,
        1.01865,
        1.023,
        1.02869,
        1.0429,
        1.05073,
        1.01335,
        1.01151,
        1.01733,
        1.02315,
        1.0217,
        1.02917,
        1.02747,
        1.02566,
        1.03143,
        1.03392,
        1.0452,
        1.03826,
        1.01309,
        1.00899,
        1.02213,
        1.02977,
        1.01626,
        1.01173,
        1.01275,
        1.01519,
        1.02016,
        1.02264,
        1.02831,
        1.02135,
        1.01427,
        1.00972,
        1.01156,
        1.01058,
        1.02371,
        1.03121,
        1.02199,
        1.025,
        1.03092,
        1.00845,
        1.00724,
        1.00218,
        1.00054,
        1.00829,
        1.02134,
        1.02038,
        1.01401,
        1.0152,
        1.01489,
        1.01284,
        1.01946,
        1.0264,
        1.0217,
        1.0349,
        1.02445,
        1.02064,
        1.01131,
        1.02166,
        1.04377,
        1.02179,
        1.02319,
        1.03021,
        1.03807,
        1.01978,
        1.00827,
        1.03099,
        1.04176,
        1.03747,
        1.02978,
        1.0311,
        1.02135,
        1.01476,
        1.01795,
        1.01768,
        1.02016,
        1.03032,
        1.02802,
        1.02234,
        1.01338,
        1.02471,
        1.03661,
        1.03353,
        1.01452,
        1.01541,
        1.022,
        1.01164,
        0.998119,
        0.997768,
        1.02252,
        1.01274,
        1.01482,
        0.999296,
        0.990641,
        1.00448,
        1.01311,
        1.0185,
        1.01578,
        1.01406,
        1.01817,
        1.01093,
        0.985884,
        0.984544,
        0.996402,
        0.980249,
        0.986027,
        1.00413,
        1.0182,
        1.00333,
        0.997106,
        1.00593,
        1.0066,
        1.00211,
        0.994693,
        1.01199,
        0.998369,
        1.00063,
        1.00429,
        1.00499,
        1.00261,
        1.00309,
        0.995465,
        0.984039,
        0.999859,
        0.975223,
        0.971709,
        0.994428,
        0.995,
        0.99785,
        1.00244,
        0.994636,
        0.99414,
        1.00795,
        1.00029,
        1.00342,
        1.00595,
        0.977846,
        0.984284,
        1.00268,
        1.01868,
        1.0189,
        1.00639,
        0.99697,
        0.998927,
        1.00019,
        0.989955,
        1.01226,
        0.993626,
        0.993757,
        0.996034,
        0.995722,
        0.985583,
        1.00619,
        1.01659,
        1.01854,
        1.04688,
        1.03246,
        0.988154,
        0.934203,
        0.993217,
        0.981954,
        1.04573,
        1.01902,
        1.00491,
        0.998979,
        0.99352,
        0.995032,
        0.990639,
        0.992679,
        0.994743,
        1.02785,
        1.02206,
        0.997209,
        1.00692,
        1.01087,
        1.01607,
        1.0223,
        1.02071,
        1.01417,
        1.01284,
        1.01723,
        1.0207,
        0.993251,
        1.00046,
        1.00546,
        0.993225,
        1.00809,
        1.01667,
        1.0055,
        0.996343,
        0.988837,
        0.978855,
        0.996447,
        0.99221,
        1.04065,
        1.01391,
        1.02371,
        1.04506,
        1.03936,
        1.0332,
        1.03985,
        1.03851,
        1.02714,
        1.02592,
        1.02401,
        1.01265,
        1.03601,
        1.03213,
        1.03051,
        1.02857,
        1.02241,
        1.01989,
        1.03872,
        1.05199,
        1.05106,
        1.04457,
        1.01532,
        1.03521,
        1.05578,
        1.01814,
        1.017,
        1.02077,
        1.03282,
        1.01848,
        1.02625,
        1.03097,
        1.01357,
        1.00711,
        1.01344,
        1.03249,
        1.03514,
        1.03198,
        1.03672,
        1.0255,
        1.02617,
        1.0131,
        1.01861,
        1.0345,
        1.04017,
        1.03615,
        1.03141,
        1.0521,
        1.06339,
        1.04342,
        1.05046,
        1.06265,
        1.0607,
        1.07734,
        1.08219,
        1.07057,
        1.06932,
        1.07134,
        1.05842,
        1.07405,
        1.07603,
        1.08403,
        1.08602,
        1.07791,
        1.05886,
        1.07098,
        1.08263,
        1.08432,
        1.07563,
        1.07346,
        1.08588,
        1.08024,
        1.08529,
        1.08542,
        1.08847,
        1.07648,
        1.07746,
        1.09403,
        1.08375,
        1.07324,
        1.07776,
        1.07804,
        1.06861,
        1.06667,
        1.06575,
        1.06563,
        1.04077,
        1.06368,
        1.05416,
        1.07473,
        1.07537,
        1.06408,
        1.09069,
        1.11204,
        1.08991,
        1.07745,
        1.07553,
        1.06893,
        1.07041,
        1.05984,
        1.07568,
        1.0713,
        1.08347,
        1.07353,
        1.06133,
        1.0666,
        1.08354,
        1.11438,
        1.10262,
        1.1004,
        1.09565,
        1.07168,
        1.05245,
        1.03423,
        0.985349,
        0.920799,
        0.892982,
        0.887932,
        0.887674,
        0.896287,
        0.886586,
        0.866893,
        0.832576,
        0.713122,
        0.662765,
        0.792332,
        0.970963,
        1.0624,
        1.11059,
        1.11259,
        1.03989,
        1.09582,
        1.09401,
        1.05639,
        1.03166,
        1.0832,
        1.07433,
        1.06344,
        1.073,
        1.06303,
        1.05803,
        1.07997,
        1.07294,
        1.04901,
        1.04953,
        1.0626,
        1.04188,
        1.05455,
        1.07275,
        1.04294,
        1.02586,
        1.01629,
        1.0163,
        1.03049,
        1.03835,
        1.03715,
        1.04703,
        1.03218,
        1.02094,
        1.03482,
        1.06289,
        1.0355,
        1.05629,
        1.05514,
        1.04545,
        1.04456,
        1.0551,
        1.07835,
        1.09104,
        1.102,
        1.06431,
        1.02908,
        1.04475,
        1.03728,
        1.03598,
        1.03796,
        1.03648,
        1.05091,
        1.04918,
        1.04355,
        1.05829,
        1.04134,
        1.06224,
        1.05286,
        1.06024,
        1.05085,
        1.05658,
        1.05716,
        1.06428,
        1.05626,
        1.05077,
        1.05195,
        1.04269,
        1.02843,
        1.03332,
        1.05097,
        1.03278,
        1.03699,
        1.00476,
        1.03568,
        1.02888,
        1.03566,
        1.03126,
        1.02732,
        1.02686,
        1.02739,
        1.03269,
        1.02501,
        1.02463,
        1.02275,
        1.02639,
        1.04106,
        1.02726,
        1.01512,
        1.00913,
        1.01548,
        1.02131,
        1.02103,
        1.02077,
        1.02022,
        1.01488,
        1.01162,
        1.00973,
        1.01977,
        1.0131,
        1.01561,
        1.00823,
        1.02073,
        1.00505,
        1.00005,
        0.998259,
        1.0015,
        1.0065,
        1.00378,
        1.00514,
        1.00747,
        1.0127,
        0.993075,
        0.993405,
        0.990606,
        1.00958,
        1.02173,
        1.01541,
        1.00852,
        1.02242,
        1.02007,
        1.01499,
        1.00966,
        1.00896,
        1.01578,
        1.01135,
        1.00943,
        1.0102,
        1.01642,
        1.02159,
        1.01901,
        1.01664,
        1.02248,
        1.01606,
        1.00649,
        1.00751,
        1.01341,
        1.01578,
        1.00968,
        1.02275,
        1.02474,
        1.00686,
        1.00213,
        1.00665,
        0.996458,
        1.01416,
        1.02188,
        1.01659,
        1.01049,
        1.01939,
        1.01556,
        1.00547,
        1.0087,
        1.01371,
        1.00239,
        0.99945,
        0.9985,
        1.01349,
        1.02058,
        1.01546,
        1.0171,
        1.02325,
        1.01586,
        1.01732,
        0.995815,
        1.00277,
        1.01577,
        1.01748,
        0.995317,
        1.01326,
        1.01498,
        1.00246,
        1.00273,
        1.00739,
        1.00702,
        0.994874,
        0.995032,
        1.00565,
        1.01786,
        1.00379,
        1.00691,
        0.994938,
        0.994728,
        0.990965,
        0.996308,
        1.00492,
        0.995671,
        1.03098,
        1.00921,
        1.003,
        1.00773,
        1.01494,
        1.00789,
        1.00116,
        1.0048,
        1.00593,
        1.00316,
        0.996152,
        0.987511,
        0.992323,
        1.03101,
        1.03423,
        0.995694,
        1.00576,
        1.01291,
        1.0129,
        1.01372,
        1.00815,
        1.01843,
        1.00919,
        1.00587,
        1.00694,
        1.00309,
        1.01247,
        1.01148,
        1.01276,
        1.00998,
        1.01552,
        1.00933,
        1.01227,
        1.0027,
        1.01528,
        1.02872,
        1.01167,
        1.01693,
        1.01989,
        1.01957,
        1.01438,
        1.00902,
        0.993435,
        0.995358,
        0.996549,
        1.02877,
        1.02265,
        1.00239,
        0.9893,
        0.989431,
        0.979299,
        0.959455,
        0.981146,
        0.999276,
        1.00992,
        1.014,
        1.03233,
        1.03056,
        1.01967,
        1.01477,
        1.01985,
        1.00978,
        1.0217,
        1.01558,
        1.02717,
        1.02384,
        1.01374,
        1.01565,
        1.02146,
        1.02701,
        1.02037,
        1.02344,
        1.02593,
        1.02829,
        1.02262,
        1.01546,
        0.997347,
        1.02172,
        1.0266,
        1.02287,
        1.01329,
        1.01538,
        1.02087,
        1.02003,
        1.02527,
        1.02434,
        1.02256,
        1.01118,
        1.00764,
        1.00595,
        1.01122,
        1.00815,
        1.01028,
        1.01411,
        1.00978,
        1.01152,
        1.02005,
        1.01652,
        1.01457,
        1.01212,
        1.0157,
        1.01639,
        1.00915,
        1.01009,
        1.02007,
        1.01726,
        1.02102,
        1.01699,
        0.9998,
        0.999538,
        0.991595,
        0.999277,
        1.02159,
        0.994599,
        1.01129,
        1.00682,
        1.00865,
        0.996048,
        1.00362,
        1.01372,
        1.01358,
        1.0061,
        1.01214,
        1.01249,
        1.01915,
        1.02499,
        1.02064,
        1.01316,
        1.0192,
        1.03058,
        1.01807,
        1.01079,
        1.00146,
        1.02953,
        1.03261,
        1.0342,
        1.02709,
        1.03263,
        1.03325,
        1.03533,
        1.02738,
        1.0154,
        1.01817,
        1.02777,
        1.03382,
        1.05819,
        1.04423,
        1.02911,
        1.03767,
        1.03746,
        1.04488,
        1.03082,
        1.02683,
        1.03587,
        1.04025,
        1.03195,
        1.02452,
        1.02542,
        1.04869,
        1.02548,
        1.03926,
        1.04615,
        1.05314,
        1.03331,
        1.01273,
        1.03463,
        1.05286,
        1.04546,
        1.05312,
        1.05804,
        1.04089,
        1.05767,
        1.035,
        1.0436,
        1.05748,
        1.06469,
        1.05765,
        1.0547,
        1.05303,
        1.05121,
        1.04607,
        1.04092,
        1.05571,
        1.06619,
        1.05053,
        1.02093,
        1.04926,
        1.04815,
        1.06175,
        1.04302,
        1.05165,
        1.05812,
        1.05636,
        1.04411,
        1.04776,
        1.0797,
        1.07697,
        1.07178,
        1.06408,
        1.05908,
        1.06063,
        1.07341,
        1.05626,
        1.04227,
        1.03279,
        1.039,
        1.04935,
        1.05767,
        1.04325,
        1.03884,
        1.0509,
        1.04628,
        1.05765,
        1.06083,
        1.05898,
        1.05789,
        1.04686,
        1.03868,
        1.03723,
        1.03838,
        1.04637,
        1.0461,
        1.04244,
        1.04425,
        1.03512,
        1.038,
        1.04596,
        1.048,
        1.04989,
        1.06158,
        1.06334,
        1.05811,
        1.06391,
        1.09126,
        1.08643,
        1.07214,
        1.05309,
        1.02782,
        0.984827,
        0.946287,
        0.920494,
        0.893626,
        0.895349,
        0.898732,
        0.899708,
        0.871379,
        0.858253,
        0.826277,
        0.7286,
        0.692864,
        0.83477,
        1.00451,
        1.06992,
        1.10328,
        1.12621,
        1.10344,
        1.07657,
        1.08444,
        1.09737,
        1.12363,
        1.13567,
        1.13298,
        1.11989,
        1.10107,
        1.09612,
        1.10316,
        1.09896,
        1.08104,
        1.07277,
        1.07736,
        1.09168,
        1.08936,
        1.07012,
        1.05972,
        1.06069,
        1.06815,
        1.07435,
        1.06551,
        1.07258,
        1.07165,
        1.04878,
        1.0545,
        1.08257,
        1.08727,
        1.04348,
        1.04105,
        1.07621,
        1.09466,
        1.08426,
        1.06378,
        1.06371,
        1.08155,
        1.08586,
        1.09455,
        1.09506,
        1.0766,
        1.07123,
        1.05692,
        1.06641,
        1.05762,
        1.04946,
        1.04928,
        1.0793,
        1.10749,
        null,
        0.992394,
        1.04268,
        1.09513,
        1.0718,
        1.02114,
        1.0351,
        1.03829,
        1.0435,
        1.07054,
        1.12356,
        1.0652,
        1.03224,
        1.03316,
        1.03448,
        1.04811,
        1.05264,
        1.05392,
        1.05398,
        1.05007,
        1.05091,
        1.02473,
        1.03858,
        1.03544,
        1.02418,
        1.00439,
        1.04489,
        1.07148,
        1.04817,
        1.03865,
        1.03849,
        1.02704,
        1.02823,
        1.04992,
        1.05638,
        1.04223,
        1.01567,
        1.00517,
        1.0117,
        1.02333,
        1.03299,
        1.05155,
        1.01363,
        0.998837,
        1.04303,
        1.06403,
        1.05832,
        1.0421,
        1.0292,
        1.03451,
        1.04026,
        1.05962,
        1.03035,
        1.04512,
        1.05619,
        1.0466,
        1.05237,
        1.06031,
        1.04786,
        1.0485,
        1.04905,
        1.04445,
        1.04651,
        1.05189,
        1.05499,
        1.06075,
        1.05516,
        1.03857,
        1.05594,
        1.0673,
        1.07019,
        1.05653,
        1.04547,
        1.02223,
        1.00007,
        0.987526,
        0.987359,
        1.00275,
        1.02656,
        1.04437,
        1.04333,
        1.04529,
        1.03345,
        1.04146,
        1.03136,
        1.05132,
        1.05675,
        1.05271,
        1.04935,
        1.05766,
        1.0611,
        1.05824,
        1.06026,
        1.04239,
        1.04353,
        1.03054,
        1.03081,
        1.00818,
        1.0339,
        1.04494,
        1.02359,
        1.03138,
        1.05695,
        1.05265,
        1.04194,
        1.03979,
        1.03386,
        1.0327,
        1.04725,
        1.04814,
        1.04065,
        1.04153,
        1.03617,
        1.04052,
        1.03824,
        1.03115,
        1.03787,
        1.05022,
        1.03791,
        1.03497,
        1.03513,
        1.03762,
        1.03684,
        1.03793,
        1.0355,
        1.03262,
        1.03573,
        1.03739,
        1.04256,
        1.02952,
        1.04424,
        1.04486,
        1.03473,
        1.03022,
        1.04478,
        1.04756,
        1.04378,
        1.04867,
        1.05575,
        1.05521,
        1.04203,
        1.02664,
        1.03219,
        1.03507,
        1.01215,
        1.02736,
        1.014,
        1.02176,
        1.00944,
        1.03635,
        1.03255,
        1.02761,
        1.02145,
        1.02376,
        1.02137,
        1.0185,
        1.03537,
        1.01461,
        1.0022,
        0.998258,
        1.0469,
        1.04341,
        1.03384,
        1.02073,
        1.02294,
        1.02324,
        1.01645,
        1.01298,
        1.01136,
        1.01093,
        1.01192,
        1.01243,
        1.02424,
        1.03352,
        1.0257,
        1.01874,
        1.01575,
        1.02152,
        1.00685,
        1.03015,
        1.03863,
        1.02568,
        1.02145,
        1.01717,
        1.01294,
        1.02066,
        1.01436,
        0.993185,
        1.0106,
        1.01379,
        1.02281,
        1.00575,
        1.01144,
        1.0032,
        0.999692,
        1.00699,
        1.01181,
        1.017,
        1.01421,
        1.01234,
        1.0212,
        1.01774,
        1.00644,
        1.02526,
        1.02804,
        1.03747,
        1.034,
        1.00578,
        0.996537,
        1.01001,
        1.01032,
        1.01605,
        1.01701,
        1.01117,
        1.01255,
        1.02042,
        1.02298,
        1.02118,
        1.02214,
        1.02682,
        1.0227,
        1.02088,
        1.0185,
        1.0269,
        1.02569,
        1.01141,
        1.02148,
        1.01829,
        1.01696,
        1.02396,
        1.02206,
        1.01745,
        1.0171,
        1.02239,
        1.0259,
        1.02716,
        1.0147,
        1.01841,
        1.01193,
        1.02592,
        1.03415,
        1.0385,
        1.02161,
        1.01866,
        1.02292,
        1.02342,
        1.02732,
        1.02061,
        1.01915,
        1.03077,
        1.03842,
        1.02235,
        1.03615,
        1.02831,
        1.03298,
        1.02016,
        1.02628,
        1.03247,
        1.03023,
        1.03076,
        1.03628,
        1.02849,
        1.01513,
        1.03033,
        1.04193,
        1.03763,
        1.04109,
        1.05866,
        1.05144,
        1.05853,
        1.05026,
        1.05496,
        1.05142,
        1.05997,
        1.06635,
        1.06242,
        1.06316,
        1.06906,
        1.06751,
        1.06747,
        1.0752,
        1.07613,
        1.08154,
        1.07002,
        1.0702,
        1.05341,
        1.0569,
        1.05144,
        1.04416,
        1.04887,
        1.04926,
        1.04584,
        1.03451,
        1.04778,
        1.05018,
        1.06017,
        1.08023,
        1.06168,
        1.05623,
        1.06989,
        1.0716,
        1.07994,
        1.07515,
        1.06341,
        1.0652,
        1.06618,
        1.06157,
        1.05691,
        1.05411,
        1.04348,
        1.04139,
        1.06199,
        1.06187,
        1.07051,
        1.06311,
        1.06903,
        1.08626,
        1.09396,
        1.09791,
        1.10005,
        1.10099,
        1.09179,
        1.08368,
        1.07245,
        1.05329,
        1.0194,
        0.977113,
        0.943737,
        0.914596,
        0.896972,
        0.90726,
        0.910548,
        0.895804,
        0.894267,
        0.834254,
        0.770461,
        0.760925,
        0.871186,
        0.992375,
        1.0604,
        1.10697,
        1.08275,
        1.03356,
        1.07964,
        1.05807,
        1.06744,
        1.09786,
        1.09793,
        1.10148,
        1.09196,
        1.09596,
        1.08599,
        1.08589,
        1.08606,
        1.08135,
        1.07079,
        1.08099,
        1.07949,
        1.08695,
        1.08487,
        1.07886,
        1.07117,
        1.06627,
        1.06618,
        1.06455,
        1.06172,
        1.06521,
        1.0683,
        1.07118,
        1.09582,
        1.08796,
        1.07147,
        1.08538,
        1.08191,
        1.07889,
        1.08572,
        1.08387,
        1.0894,
        1.08668,
        1.0809,
        1.08322,
        1.08619,
        1.06132,
        1.07309,
        1.07125,
        1.07777,
        1.07807,
        1.07307,
        1.0792,
        1.08092,
        1.0828,
        1.0879,
        1.09011,
        1.08305,
        1.08414,
        1.08259,
        1.07532,
        1.0836,
        1.08332,
        1.07779,
        1.08087,
        1.08106,
        1.07019,
        1.06779,
        1.06065,
        1.06333,
        1.05771,
        1.05662,
        1.04992,
        1.05095,
        1.05258,
        1.04634,
        1.03898,
        1.03774,
        1.03782,
        1.03647,
        1.02997,
        1.02599,
        1.02197,
        1.01997,
        1.02513,
        1.01936,
        1.01246,
        1.0139,
        1.03956,
        1.03483,
        1.02317,
        1.00852,
        1.0041,
        1.00689,
        1.01171,
        1.01722,
        1.01296,
        1.01287,
        1.01542,
        1.00743,
        1.00114,
        1.00935,
        1.00444,
        1.00833,
        1.01565,
        1.01391,
        1.0049,
        1.00007,
        1.00132,
        1.00766,
        0.998898,
        1.00039,
        0.996938,
        0.960773,
        0.952507,
        0.969583,
        1.0007,
        1.01155,
        1.01225,
        1.02044,
        1.01892,
        1.00863,
        1.02247,
        1.02331,
        1.01295,
        1.00746,
        1.0018,
        1.00189,
        1.00257,
        1.01439,
        0.998011,
        1.00569,
        0.999893,
        1.0134,
        1.01227,
        1.01595,
        1.01573,
        1.01058,
        1.00594,
        1.01162,
        1.00736,
        1.00616,
        1.01466,
        1.00494,
        0.986563,
        1.01389,
        0.994953,
        1.00947,
        1.03134,
        1.01036,
        1.01835,
        1.01619,
        0.991726,
        0.998197,
        0.992868,
        1.00525,
        1.02314,
        1.02688,
        1.03039,
        1.01939,
        1.01182,
        1.00706,
        1.01673,
        1.02028,
        1.00874,
        1.018,
        1.03785,
        1.02429,
        1.02281,
        1.01735,
        1.00999,
        1.01234,
        1.02628,
        1.03262,
        1.02342,
        1.01872,
        1.00744,
        1.02385,
        1.02954,
        1.02391,
        1.02599,
        1.03125,
        1.03641,
        1.04162,
        1.03843,
        1.03742,
        1.04063,
        1.02027,
        1.02237,
        1.02692,
        1.03029,
        1.06038,
        1.046,
        1.02921,
        1.02248,
        1.02432,
        1.03027,
        1.02415,
        1.01865,
        1.02247,
        1.02626,
        1.02963,
        1.02512,
        1.02676,
        1.02161,
        1.02684,
        1.03189,
        1.01488,
        1.01227,
        1.0205,
        1.02006,
        1.03782,
        1.04231,
        1.03693,
        0.997209,
        1.01854,
        1.01903,
        1.01454,
        1.01044,
        1.00512,
        1.01231,
        1.01907,
        1.01845,
        1.02251,
        1.02702,
        1.02218,
        1.01583,
        1.00324,
        1.01421,
        1.01993,
        1.01984,
        1.0169,
        1.01642,
        1.0153,
        1.01425,
        1.0198,
        1.0357,
        1.01337,
        0.997252,
        1.02535,
        1.0403,
        1.03781,
        1.01648,
        1.01415,
        1.0211,
        1.03263,
        1.05322,
        1.03464,
        1.01768,
        1.03454,
        1.03836,
        1.04679,
        1.03894,
        1.02561,
        1.02856,
        1.03852,
        1.05854,
        1.05346,
        1.02915,
        1.02838,
        1.03301,
        1.04048,
        1.04657,
        1.03077,
        1.05067,
        1.02395,
        1.03073,
        1.02527,
        1.03012,
        1.02671,
        1.02782,
        1.03126,
        1.02176,
        1.02588,
        1.03524,
        1.02439,
        1.03404,
        1.04643,
        1.02678,
        1.0251,
        1.03587,
        1.05026,
        1.03445,
        1.04092,
        1.04286,
        1.03971,
        1.03316,
        1.05736,
        1.0616,
        1.02816,
        1.02226,
        1.03714,
        1.02739,
        1.02344,
        1.0361,
        1.04044,
        1.03909,
        1.05027,
        1.05946,
        1.06245,
        1.0683,
        1.06995,
        1.05405,
        1.02316,
        1.01047,
        1.02188,
        1.02522,
        1.04481,
        1.03289,
        1.02477,
        1.02093,
        1.032,
        1.01338,
        1.02629,
        1.03073,
        1.0154,
        1.0274,
        1.01275,
        1.02807,
        1.04073,
        1.02954,
        1.02413,
        1.03204,
        1.05538,
        1.06616,
        1.04185,
        1.01914,
        1.02678,
        1.02425,
        1.00479,
        1.0253,
        1.04331,
        1.03952,
        1.04322,
        1.04671,
        1.06228,
        1.05283,
        1.04917,
        1.07965,
        1.03355,
        1.02541,
        1.0396,
        1.06157,
        1.06147,
        1.04146,
        1.04203,
        1.03626,
        1.03132,
        1.0298,
        1.04122,
        1.04917,
        1.04628,
        1.0481,
        1.05801,
        1.06266,
        1.05953,
        1.06006,
        1.02915,
        1.04433,
        1.0608,
        1.03291,
        1.0628,
        1.06029,
        1.03519,
        1.04203,
        1.05685,
        1.05485,
        1.04767,
        1.07369,
        1.05793,
        1.06963,
        1.04867,
        1.06885,
        1.05327,
        1.03978,
        1.05838,
        1.07497,
        1.06885,
        1.05912,
        1.06987,
        1.08435,
        1.07936,
        1.0725,
        1.08366,
        1.08753,
        1.08007,
        1.06211,
        1.05329,
        1.0907,
        1.10116,
        1.13207,
        1.06833,
        1.09969,
        1.08925,
        1.07499,
        1.07669,
        1.05568,
        1.05476,
        1.06957,
        1.0713,
        1.07714,
        1.08021,
        1.0674,
        1.06893,
        1.06848,
        1.04832,
        1.04986,
        1.06096,
        1.05815,
        1.0715,
        1.06117,
        1.05659,
        1.07519,
        1.06375,
        1.06442,
        1.05442,
        1.07119,
        1.05529,
        1.10568,
        1.05436,
        1.06812,
        1.06381,
        1.05929,
        1.03403,
        1.05226,
        1.05119,
        1.04165,
        1.06044,
        1.05754,
        0.513548,
        -0.337124,
        0.321371,
        1.15548,
        1.05342,
        1.08378,
        1.07783,
        1.05821,
        1.01283,
        0.973047,
        0.895465,
        0.858719,
        0.919353,
        0.948535,
        0.826201,
        0.899331,
        0.825493,
        0.770651,
        0.783275,
        0.822388,
        0.965535,
        1.04842,
        1.04,
        1.07164,
        1.02204,
        1.12747,
        1.07921,
        1.11638,
        1.10013,
        1.11661,
        1.09882,
        1.07318,
        1.09402,
        1.10801,
        1.09517,
        1.08656,
        1.10085,
        1.1104,
        1.07791,
        1.05333,
        1.07826,
        1.0971,
        1.09385,
        1.08885,
        1.12679,
        1.09911,
        1.05214,
        1.04741,
        1.05109,
        1.07819,
        1.06916,
        1.04175,
        1.04023,
        1.07532,
        1.08772,
        1.08299,
        1.09315,
        1.09322,
        1.07025,
        1.08607,
        1.07809,
        1.07662,
        1.07194,
        1.06507,
        1.07656,
        1.05732,
        1.01399,
        1.00065,
        1.02628,
        1.06061,
        1.08093,
        1.07725,
        1.08145,
        1.11238,
        1.11065,
        1.07355,
        1.0739,
        1.07087,
        1.05642,
        1.07218,
        1.07355,
        1.06531,
        1.07445,
        1.07413,
        1.06363,
        1.05887,
        1.06417,
        1.0775,
        1.05476,
        1.0574,
        1.07557,
        1.05544,
        1.04918,
        1.05431,
        1.03108,
        1.06656,
        1.05794,
        1.03281,
        1.03005,
        1.02202,
        1.02101,
        1.02648,
        1.01065,
        1.04422,
        1.04604,
        1.04365,
        1.04078,
        1.0275,
        1.03146,
        1.03644,
        1.01856,
        1.00978,
        1.01952,
        1.02795,
        1.03387,
        1.03728,
        1.04386,
        1.01626,
        0.998236,
        0.996234,
        0.987657,
        1.01532,
        1.02054,
        0.973133,
        0.975452,
        0.989774,
        1.04777,
        1.02304,
        0.98325,
        0.974295,
        1.00399,
        1.02077,
        0.997973,
        0.976727,
        1.00389,
        0.995329,
        1.02646,
        1.02637,
        0.921225,
        0.91628,
        0.86059,
        0.945102,
        1.03123,
        1.01612,
        0.981438,
        1.00123,
        0.989914,
        0.968098,
        0.940769,
        0.997155,
        1.00631,
        1.01301,
        0.969138,
        0.976785,
        0.979036,
        1.02523,
        1.02568,
        1.0091,
        0.997239,
        0.993741,
        1.00709,
        1.03347,
        1.01674,
        1.02722,
        1.02346,
        1.00917,
        1.0178,
        1.03163,
        1.02619,
        1.02621,
        1.03249,
        1.04763,
        1.05195,
        1.02035,
        1.01272,
        1.01559,
        1.03177,
        1.05152,
        1.04079,
        1.02463,
        1.02267,
        1.03444,
        1.0495,
        1.04113,
        1.02269,
        1.03694,
        1.05088,
        1.05798,
        1.04163,
        1.04804,
        1.04079,
        1.04634,
        1.04956,
        1.05558,
        1.0542,
        1.0542,
        1.05221,
        1.05762,
        1.05028,
        1.03969,
        1.03544,
        1.04117,
        1.05896,
        1.05373,
        1.0388,
        1.05265,
        1.04704,
        1.0381,
        1.02639,
        1.03288,
        1.04984,
        1.05143,
        1.04324,
        1.04314,
        1.0454,
        1.04151,
        1.04219,
        1.03304,
        1.03775,
        1.045,
        1.05399,
        1.03764,
        1.04155,
        1.04369,
        1.03726,
        1.04084,
        1.04457,
        1.06212,
        1.05256,
        1.05139,
        1.03389,
        1.0151,
        1.0342,
        1.05326,
        1.03972,
        1.03894,
        1.03512,
        1.03632,
        1.04504,
        1.04233,
        1.03899,
        1.04965,
        1.03264,
        1.05097,
        1.05263,
        1.03984,
        1.03552,
        1.04,
        1.02051,
        1.01819,
        1.04599,
        1.10126,
        1.06066,
        1.01844,
        1.02656,
        1.03086,
        1.02285,
        1.02286,
        1.02605,
        1.0287,
        1.03482,
        1.02675,
        1.02431,
        1.04025,
        1.04244,
        1.04356,
        1.04076,
        1.03265,
        1.04589,
        1.04493,
        1.03381,
        1.03403,
        1.02738,
        1.03828,
        1.02826,
        1.08557,
        1.04197,
        1.04902,
        1.05116,
        1.0517,
        1.04334,
        1.04583,
        1.03002,
        1.03245,
        1.05988,
        1.05257,
        1.03796,
        1.03836,
        1.05169,
        1.04518,
        1.03915,
        1.03827,
        1.04438,
        1.04255,
        1.0361,
        1.02864,
        1.04256,
        1.05134,
        1.04228,
        1.03992,
        1.03627,
        1.04565,
        1.04726,
        1.04281,
        1.04272,
        1.0398,
        1.03119,
        1.03114,
        1.04513,
        1.05361,
        1.04137,
        1.02865,
        1.02801,
        1.02804,
        1.03131,
        1.04359,
        1.04379,
        1.03209,
        1.01002,
        1.03323,
        1.05594,
        1.06355,
        1.02972,
        1.02739,
        1.02958,
        1.02328,
        1.03623,
        1.02929,
        1.04014,
        1.0479,
        1.04148,
        1.02605,
        1.03032,
        1.03883,
        1.04563,
        1.03903,
        1.03076,
        1.02708,
        1.03846,
        1.04584,
        1.03928,
        1.04374,
        1.04791,
        1.05004,
        1.03968,
        1.02542,
        1.03077,
        1.03589,
        1.03757,
        1.02897,
        1.02084,
        1.03455,
        1.00671,
        1.01559,
        1.06556,
        1.03535,
        1.0137,
        1.01069,
        1.0185,
        1.01736,
        1.0208,
        1.03248,
        1.0295,
        1.02528,
        1.01798,
        1.02081,
        1.03525,
        1.02956,
        1.02445,
        1.02237,
        1.03031,
        1.04036,
        1.0358,
        1.03873,
        1.04975,
        1.03561,
        1.02833,
        1.0113,
        1.017,
        1.0391,
        1.08447,
        1.04251,
        1.03746,
        1.03679,
        1.0507,
        1.0571,
        1.06717,
        1.05662,
        1.05417,
        1.06487,
        1.0679,
        1.06322,
        1.06891,
        1.0704,
        1.06943,
        1.07372,
        1.07308,
        1.07796,
        1.08172,
        1.08789,
        1.09853,
        1.08644,
        1.08344,
        1.0943,
        1.08374,
        1.09033,
        1.09381,
        1.08817,
        1.08172,
        1.07343,
        1.09959,
        1.09578,
        1.08737,
        1.0847,
        1.09824,
        1.10622,
        1.09498,
        1.09831,
        1.08895,
        1.08874,
        1.09304,
        1.08216,
        1.07599,
        1.07888,
        1.07104,
        1.07276,
        1.08075,
        1.06637,
        1.05722,
        1.06526,
        1.06867,
        1.05747,
        1.06338,
        1.06825,
        1.08448,
        1.09459,
        1.11712,
        1.08506,
        1.06751,
        1.08148,
        1.0756,
        1.07811,
        1.07887,
        1.0742,
        1.0764,
        1.0709,
        1.07855,
        1.07931,
        1.0969,
        1.09923,
        1.10018,
        1.10326,
        1.10624,
        1.10138,
        1.10173,
        1.1056,
        1.10632,
        1.11754,
        1.11989,
        1.11686,
        1.10898,
        1.05338,
        1.00962,
        0.973249,
        0.930657,
        0.914539,
        0.861581,
        0.836355,
        0.853401,
        0.899404,
        0.909538,
        0.917276,
        0.917449,
        0.910604,
        0.976663,
        1.06458,
        1.11808,
        1.13336,
        1.15035,
        1.16114,
        1.11755,
        0.976298,
        1.09283,
        1.08803,
        1.08983,
        1.08025,
        1.08408,
        1.09723,
        1.1132,
        1.1117,
        1.10726,
        1.11578,
        1.10048,
        1.10275,
        1.11177,
        1.11051,
        1.11336,
        1.10458,
        1.09484,
        1.08976,
        1.11307,
        1.09318,
        1.07121,
        1.08025,
        1.0732,
        1.06011,
        1.04263,
        1.04002,
        1.0572,
        1.058,
        1.05456,
        1.04938,
        1.04812,
        1.07955,
        1.10956,
        1.08777,
        1.05628,
        1.05658,
        1.05929,
        1.04191,
        1.02658,
        1.04937,
        1.09525,
        1.08369,
        1.03865,
        1.05221,
        1.05897,
        1.05375,
        1.08313,
        1.07561,
        1.07721,
        1.0608,
        1.06132,
        1.07436,
        1.09057,
        1.09623,
        1.09027,
        1.08838,
        1.08378,
        1.06994,
        1.06585,
        1.0796,
        1.07457,
        1.06775,
        1.06288,
        1.05663,
        1.09919,
        1.10571,
        1.07631,
        1.06378,
        1.0561,
        1.06128,
        1.0622,
        1.06559,
        1.06533,
        1.05951,
        1.05346,
        1.05368,
        1.04848,
        1.03783,
        0.997507,
        1.03945,
        1.0105,
        1.01296,
        1.03251,
        1.03405,
        1.03917,
        1.04091,
        1.00338,
        1.00912,
        1.04663,
        1.02661,
        1.03031,
        1.02477,
        1.01881,
        1.02152,
        1.02218,
        1.02589,
        1.03324,
        1.0441,
        1.03858,
        1.03587,
        1.03215,
        1.02763,
        1.02137,
        1.01358,
        1.01232,
        1.03176,
        1.04849,
        1.02565,
        1.00345,
        1.00259,
        1.01283,
        1.0131,
        1.01762,
        1.03249,
        1.02387,
        1.01754,
        1.01332,
        1.0316,
        1.03454,
        1.043,
        1.05271,
        1.04682,
        1.03624,
        1.04753,
        1.04671,
        1.04328,
        1.03915,
        1.04224,
        1.04876,
        1.05556,
        1.04857,
        1.05982,
        1.06287,
        1.04847,
        1.04603,
        1.05361,
        1.05214,
        1.04129,
        1.03442,
        1.04985,
        1.08104,
        1.06892,
        1.04144,
        1.04376,
        1.0542,
        1.05509,
        1.05485,
        1.06476,
        1.05575,
        1.05004,
        1.062,
        1.07014,
        1.06281,
        1.05054,
        1.05763,
        1.06013,
        1.05787,
        1.04616,
        1.0329,
        1.03175,
        1.07728,
        1.06199,
        1.0296,
        1.03201,
        1.04196,
        1.04183,
        1.04747,
        1.04685,
        1.04386,
        1.04276,
        1.04441,
        1.04416,
        1.07208,
        1.03959,
        1.02064,
        1.0449,
        1.04971,
        1.03142,
        1.03333,
        1.0393,
        1.02643,
        1.02612,
        1.02886,
        1.03386,
        1.03644,
        1.00716,
        0.970995,
        0.992401,
        1.01403,
        1.02492,
        1.04965,
        1.04735,
        1.04449,
        1.04339,
        1.04753,
        1.06859,
        1.05803,
        1.05474,
        1.05876,
        1.04338,
        1.05025,
        1.04757,
        1.04786,
        1.07236,
        1.05111,
        1.02536,
        1.03982,
        1.04742,
        1.04849,
        1.04453,
        1.05883,
        1.05992,
        1.0558,
        1.06413,
        1.07142,
        1.0671,
        1.06291,
        1.06559,
        1.07552,
        1.07675,
        1.06149,
        1.06376,
        1.06752,
        1.05428,
        1.05923,
        1.05787,
        1.05461,
        1.06263,
        1.05164,
        1.04439,
        1.04953,
        1.06423,
        1.04565,
        1.0477,
        1.05123,
        1.05543,
        1.06513,
        1.07684,
        1.05559,
        1.04308,
        1.0267,
        1.04152,
        1.07374,
        1.07955,
        1.05836,
        1.04169,
        1.00772,
        1.03614,
        1.062,
        1.06326,
        1.04927,
        1.0517,
        1.05398,
        1.03548,
        1.04763,
        1.04413,
        1.05344,
        1.04903,
        1.05202,
        1.04491,
        1.04395,
        1.04584,
        1.03804,
        1.04803,
        1.06813,
        1.06543,
        1.04522,
        1.04111,
        1.05081,
        1.05153,
        1.04779,
        1.04853,
        1.0455,
        1.03354,
        1.03508,
        1.03231,
        1.0344,
        1.04521,
        1.03995,
        1.02816,
        1.03079,
        1.06349,
        1.04056,
        1.01098,
        1.00015,
        1.01037,
        1.05093,
        1.0603,
        0.977322,
        0.991222,
        1.01174,
        1.0092,
        0.997928,
        1.0251,
        1.00377,
        1.06473,
        1.12597,
        1.05812,
        1.02727,
        1.07278,
        1.08896,
        1.03045,
        1.02948,
        1.04328,
        1.04464,
        1.04727,
        1.05844,
        1.06531,
        1.06394,
        1.0548,
        1.04808,
        1.05813,
        1.06277,
        1.05497,
        1.04341,
        1.04229,
        1.03886,
        1.03411,
        1.04111,
        1.02433,
        1.02485,
        1.02985,
        1.03563,
        1.05525,
        1.0673,
        1.02503,
        1.04099,
        1.04658,
        1.03605,
        1.03748,
        1.03881,
        1.02333,
        1.01833,
        1.01975,
        1.03481,
        1.01341,
        1.03963,
        1.00694,
        1.02371,
        1.02548,
        1.03511,
        1.03219,
        1.07682,
        1.08559,
        1.07817,
        1.07156,
        1.05502,
        1.07053,
        1.07298,
        1.06042,
        1.05256,
        1.04507,
        1.06683,
        1.07729,
        1.03522,
        1.02027,
        1.05337,
        1.0603,
        1.03954,
        1.00837,
        0.991194,
        1.01859,
        1.05974,
        1.08206,
        1.07225,
        1.06743,
        1.07527,
        1.06513,
        1.05391,
        1.06115,
        1.06483,
        1.06234,
        1.06021,
        1.05003,
        1.05698,
        1.06559,
        1.05924,
        1.04929,
        1.04066,
        1.05667,
        1.05823,
        1.03452,
        1.03013,
        1.04396,
        1.05098,
        1.03123,
        1.0345,
        1.05178,
        1.04495,
        1.04255,
        1.03427,
        1.05502,
        1.0635,
        1.053,
        1.05789,
        1.04808,
        1.04859,
        1.03607,
        1.05119,
        1.06869,
        1.03365,
        1.0361,
        1.03622,
        1.02069,
        1.03611,
        1.09007,
        1.05671,
        1.05889,
        1.05279,
        1.07915,
        1.09459,
        1.09663,
        1.08718,
        1.06249,
        1.06524,
        1.11928,
        1.1362,
        1.06531,
        1.07124,
        1.08152,
        1.0518,
        0.973994,
        0.904288,
        0.923026,
        0.91274,
        0.90211,
        0.897477,
        0.903193,
        0.90617,
        0.91129,
        0.936056,
        0.967839,
        1.00298,
        1.09425,
        1.13578,
        1.12969,
        1.08977,
        1.09556,
        1.09592,
        1.10522,
        1.10883,
        1.10693,
        1.09511,
        1.08057,
        1.08487,
        1.08411,
        1.07097,
        1.07281,
        1.07593,
        1.07599,
        1.08884,
        1.07511,
        1.07633,
        1.09076,
        1.09484,
        1.09677,
        1.09008,
        1.09645,
        1.09992,
        1.0875,
        1.09407,
        1.0962,
        1.08371,
        1.08001,
        1.09341,
        1.08498,
        1.10792,
        1.09945,
        1.09222,
        1.09144,
        1.10086,
        1.07943,
        1.08218,
        1.09729,
        1.1155,
        1.10494,
        1.06949,
        1.0468,
        1.03572,
        1.06362,
        1.11799,
        1.14606,
        1.07905,
        1.03651,
        1.05259,
        1.06384,
        1.0626,
        1.06438,
        1.05736,
        1.058,
        1.05011,
        1.05911,
        1.05786,
        1.05948,
        1.05739,
        1.06027,
        1.05671,
        1.04627,
        1.0473,
        1.05898,
        1.06509,
        1.05514,
        1.05776,
        1.03472,
        1.04265,
        1.03884,
        1.04186,
        1.06489,
        1.05861,
        1.04729,
        1.04688,
        1.0511,
        1.05925,
        1.05802,
        1.04727,
        1.03167,
        1.03512,
        1.05568,
        1.06471,
        1.04972,
        1.04649,
        1.05856,
        1.05334,
        1.05887,
        1.06255,
        1.06197,
        1.05225,
        1.04946,
        1.05159,
        1.0666,
        1.04481,
        1.02698,
        1.03492,
        1.05266,
        1.07688,
        1.05665,
        1.02283,
        1.02962,
        1.0538,
        1.05299,
        1.0562,
        1.06726,
        1.06792,
        1.05858,
        1.02725,
        1.01933,
        1.03994,
        1.05614,
        1.0328,
        1.00805,
        1.00722,
        1.01136,
        1.0163,
        1.05491,
        1.05866,
        1.0684,
        1.06975,
        1.04651,
        1.04773,
        1.05936,
        1.0557,
        1.05582,
        1.07784,
        1.09476,
        1.09417,
        1.0621,
        1.0505,
        1.06385,
        1.07096,
        1.07436,
        1.07092,
        1.06321,
        1.0624,
        1.07258,
        1.07318,
        1.05703,
        1.02938,
        1.0394,
        1.05719,
        1.06004,
        1.068,
        1.04932,
        1.032,
        1.03737,
        1.02179,
        0.976949,
        1.04917,
        1.06825,
        1.07546,
        1.05149,
        1.06348,
        1.05524,
        1.06866,
        1.08355,
        1.0538,
        1.06445,
        1.09116,
        1.08146,
        1.07674,
        1.08141,
        1.06978,
        1.06214,
        1.07027,
        1.06201,
        1.06109,
        1.06403,
        1.07055,
        1.08588,
        1.06925,
        1.06448,
        1.05989,
        null,
        1.00473,
        1.01651,
        1.02828,
        1.03911,
        1.03868,
        1.03215,
        1.03727,
        1.03346,
        1.02299,
        1.025,
        1.03341,
        1.04032,
        1.0354,
        1.02513,
        1.0384,
        1.02306,
        1.02324,
        1.07218,
        1.01538,
        1.03074,
        1.01655,
        1.02945,
        1.03768,
        1.02638,
        1.01614,
        1.01724,
        1.02125,
        1.00781,
        1.02353,
        1.03405,
        1.03081,
        1.00435,
        0.985862,
        1.01137,
        1.01949,
        1.01081,
        1.0159,
        1.02007,
        1.00571,
        1.00579,
        0.997317,
        0.995754,
        1.00966,
        1.02013,
        1.00739,
        1.00311,
        0.995785,
        0.994928,
        1.00294,
        1.01526,
        1.02141,
        1.01328,
        1.0163,
        1.00462,
        0.994927,
        1.00346,
        1.03592,
        1.01259,
        1.04458,
        1.02319,
        1.01213,
        1.01967,
        1.00054,
        1.00002,
        1.02327,
        1.02086,
        1.01367,
        0.997128,
        0.99396,
        1.00413,
        1.00762,
        1.01533,
        1.01735,
        1.01657,
        1.01386,
        1.01026,
        1.01788,
        1.02931,
        1.02795,
        1.00965,
        1.01322,
        0.999263,
        1.02106,
        1.03119,
        1.02752,
        1.03456,
        1.04759,
        1.03914,
        1.02225,
        1.03319,
        1.03479,
        1.0548,
        1.07588,
        1.06816,
        1.06411,
        1.03299,
        1.0303,
        1.03117,
        1.03574,
        1.04484,
        1.06653,
        1.08968,
        1.06212,
        1.04771,
        1.0576,
        1.05231,
        1.03787,
        1.05938,
        1.04903,
        1.05857,
        1.04895,
        1.04168,
        1.05582,
        1.06689,
        1.05993,
        1.05191,
        1.06542,
        1.05259,
        1.0376,
        1.03491,
        1.03403,
        1.04774,
        1.06152,
        1.06323,
        1.06533,
        1.06435,
        1.05319,
        1.05066,
        1.0598,
        1.05151,
        1.08112,
        1.07797,
        1.07328,
        1.12403,
        1.09923,
        1.09871,
        1.10229,
        1.08666,
        1.07008,
        1.06956,
        1.08109,
        1.08457,
        1.08446,
        1.08076,
        1.08628,
        1.07746,
        1.0792,
        1.0854,
        1.07089,
        1.06686,
        1.08203,
        1.09039,
        1.07686,
        1.06057,
        1.06611,
        1.06622,
        1.06579,
        1.06738,
        1.05395,
        1.05801,
        1.05617,
        1.05604,
        1.07533,
        1.10899,
        1.11968,
        1.09773,
        1.08406,
        1.09177,
        1.09495,
        1.06266,
        1.07399,
        1.07873,
        1.08043,
        1.07428,
        1.07153,
        1.08446,
        1.0906,
        1.08155,
        1.07926,
        1.08103,
        1.06903,
        1.11604,
        1.16536,
        1.12554,
        1.09505,
        1.09717,
        1.10696,
        1.11387,
        1.15135,
        1.15744,
        1.10912,
        1.0657,
        1.04465,
        0.996847,
        0.94345,
        0.935473,
        0.92603,
        0.90555,
        0.918192,
        0.933593,
        0.932863,
        0.947972,
        1.00482,
        1.07158,
        1.11907,
        1.14937,
        1.16753,
        1.19763,
        1.19611,
        1.28615,
        1.15089,
        1.14205,
        1.14974,
        1.13002,
        1.16006,
        1.13949,
        1.12041,
        1.1076,
        1.12173,
        1.11031,
        1.09766,
        1.09822,
        1.10125,
        1.10187,
        1.10474,
        1.10763,
        1.10012,
        1.09304,
        1.08921,
        1.08466,
        1.08356,
        1.08395,
        1.09175,
        1.07923,
        1.06348,
        1.05901,
        1.0672,
        1.08384,
        1.0851,
        1.06569,
        1.06675,
        1.10363,
        1.0877,
        1.13165,
        1.11849,
        1.09989,
        1.08934,
        1.1014,
        1.10345,
        1.09499,
        1.08352,
        1.06209,
        1.06561,
        1.07724,
        1.09056,
        1.07446,
        1.07325,
        1.09854,
        1.11638,
        1.09416,
        1.0863,
        1.08351,
        1.07831,
        1.07849,
        1.07627,
        1.06492,
        1.05556,
        1.06516,
        1.05171,
        1.0616,
        1.06876,
        1.06895,
        1.06693,
        1.06033,
        1.04946,
        1.04549,
        1.05156,
        1.0526,
        1.03947,
        1.03241,
        1.0486,
        1.06176,
        1.04554,
        1.04,
        1.04272,
        1.04615,
        1.0501,
        1.03805,
        1.03652,
        1.03295,
        1.0315,
        1.03775,
        1.04496,
        1.07958,
        1.09199,
        1.06427,
        1.038,
        1.04413,
        1.07398,
        1.06765,
        1.09413,
        1.09237,
        1.07667,
        1.05314,
        1.04432,
        1.06854,
        1.09041,
        1.09372,
        1.06709,
        1.09493,
        1.09259,
        1.11165,
        1.09296,
        1.08937,
        1.06672,
        1.07352,
        1.0634,
        1.05005,
        1.06222,
        1.0796,
        1.08271,
        1.0741,
        1.11634,
        1.09553,
        1.08511,
        1.06164,
        1.08029,
        1.15532,
        1.12863,
        1.1298,
        1.11522,
        1.07599,
        1.07199,
        1.09375,
        1.09053,
        1.07256,
        1.08292,
        1.12919,
        1.11272,
        1.06862,
        1.12054,
        1.08376,
        1.10554,
        1.1032,
        1.0624,
        1.05628,
        1.09473,
        1.12736,
        1.11324,
        1.05412,
        1.06686,
        1.08718,
        1.09647,
        1.13763,
        1.12329,
        1.12789,
        1.16005,
        1.18571,
        1.12896,
        1.12126,
        1.06236,
        1.02728,
        1.10126,
        1.08034,
        1.08476,
        1.06663,
        1.03801,
        1.06166,
        1.08472,
        1.07681,
        1.07607,
        1.06079,
        1.0573,
        1.07423,
        1.05539,
        1.07882,
        1.04841,
        1.05436,
        1.05457,
        1.0576,
        1.08618,
        1.07987,
        1.05657,
        1.05393,
        1.05776,
        1.05857,
        1.0469,
        1.05094,
        1.08116,
        1.06974,
        1.08007,
        1.08489,
        1.07775,
        1.06947,
        1.04973,
        1.05073,
        1.04624,
        1.0438,
        1.07386,
        1.10093,
        1.075,
        1.03742,
        1.08091,
        1.08384,
        1.09679,
        1.05781,
        1.04116,
        1.05222,
        1.03315,
        1.03871,
        1.04571,
        1.05731,
        1.06255,
        1.04371,
        1.03617,
        1.0371,
        1.05313,
        1.05384,
        1.03748,
        1.03458,
        1.05807,
        1.0258,
        1.04856,
        1.04644,
        1.05842,
        1.05909,
        1.04154,
        1.03254,
        1.02897,
        1.02762,
        1.02399,
        1.03012,
        1.05469,
        1.01882,
        1.03305,
        1.03265,
        1.04316,
        1.03675,
        1.02137,
        1.0215,
        1.02241,
        1.01988,
        1.02528,
        1.03306,
        1.03921,
        1.04097,
        1.00615,
        1.00074,
        1.00237,
        1.0111,
        1.00714,
        1.00695,
        1.00855,
        1.00863,
        0.994367,
        0.984092,
        0.97752,
        0.973833,
        0.994772,
        1.01434,
        1.0158,
        1.01312,
        1.03946,
        1.03026,
        1.00286,
        1.00465,
        1.01639,
        1.01163,
        1.00631,
        1.01075,
        1.02283,
        1.02721,
        1.02296,
        1.0333,
        1.04414,
        1.00845,
        1.0056,
        1.00247,
        1.01408,
        1.00891,
        0.995458,
        0.996651,
        0.994397,
        0.995734,
        1.01742,
        1.03897,
        1.02816,
        1.00411,
        1.00195,
        0.996754,
        0.988195,
        1.00049,
        0.987192,
        0.988213,
        1.00241,
        1.00395,
        1.01013,
        1.00673,
        1.00012,
        1.00033,
        1.00101,
        1.00018,
        1.00536,
        1.00967,
        1.0011,
        1.00038,
        1.00841,
        0.991235,
        1.01632,
        1.00173,
        1.00209,
        1.01054,
        1.0113,
        1.00654,
        1.00413,
        1.00436,
        1.00964,
        1.01644,
        1.00992,
        0.987774,
        0.97762,
        0.999325,
        1.0176,
        1.01417,
        1.0046,
        1.00986,
        1.00961,
        1.00554,
        1.0083,
        1.01027,
        1.01072,
        1.00414,
        0.989088,
        1.00221,
        1.05488,
        1.03838,
        1.01311,
        0.978335,
        0.979301,
        0.990115,
        1.00887,
        1.00942,
        0.993745,
        1.00179,
        1.02619,
        1.02386,
        1.00981,
        0.99798,
        0.991916,
        1.00792,
        1.05274,
        0.999588,
        1.00276,
        1.03255,
        1.03056,
        1.01696,
        1.0121,
        1.0176,
        1.02357,
        1.01994,
        1.01834,
        1.02768,
        1.02173,
        1.01774,
        1.00036,
        1.01948,
        1.01904,
        1.03916,
        1.04301,
        1.045,
        1.03474,
        1.02892,
        1.04339,
        1.04899,
        1.03815,
        1.03826,
        1.05095,
        1.05832,
        1.06124,
        1.06915,
        1.05876,
        1.09337,
        1.05249,
        1.03545,
        1.05765,
        1.05327,
        1.0602,
        1.06851,
        1.07724,
        1.08365,
        1.08721,
        1.08449,
        1.06988,
        1.06818,
        1.09445,
        1.10696,
        1.11159,
        1.09281,
        1.07865,
        1.0724,
        1.07896,
        1.08215,
        1.1001,
        1.08344,
        1.07321,
        1.05744,
        1.05417,
        1.0761,
        1.07348,
        1.07583,
        1.05361,
        1.06287,
        1.06551,
        1.07767,
        1.07798,
        1.08121,
        1.08333,
        1.10336,
        1.10504,
        1.09798,
        1.08261,
        1.07449,
        1.07314,
        1.07808,
        1.09235,
        1.08686,
        1.10682,
        1.13404,
        1.08,
        1.06157,
        1.0812,
        1.10323,
        1.10073,
        1.09529,
        1.11147,
        1.12828,
        1.10937,
        1.11104,
        1.1393,
        1.13922,
        1.13205,
        1.14558,
        1.12808,
        1.11777,
        1.05563,
        1.00961,
        0.98689,
        0.945702,
        0.945798,
        0.943294,
        0.954454,
        0.919483,
        0.942372,
        0.996415,
        1.03786,
        1.0857,
        1.12076,
        1.13735,
        1.15486,
        1.1891,
        1.17529,
        1.14223,
        1.23451,
        1.21196,
        1.09657,
        1.11575,
        1.15299,
        1.13779,
        1.18774,
        1.17774,
        1.12847,
        1.11699,
        1.17786,
        1.19808,
        1.1475,
        1.15657,
        1.15644,
        1.14514,
        1.17113,
        1.17883,
        1.15985,
        1.17581,
        1.19186,
        1.20497,
        1.17756,
        1.14728,
        1.1294,
        1.17362,
        1.19229,
        1.1868,
        1.18502,
        1.2216,
        1.26955,
        null,
        1.16563,
        1.15969,
        1.15651,
        1.16846,
        1.10919,
        1.12333,
        1.09982,
        1.12816,
        1.10754,
        1.08726,
        1.08588,
        1.08143,
        1.08212,
        1.08618,
        1.08272,
        1.05759,
        1.06717,
        1.0342,
        1.06954,
        1.06787,
        1.0931,
        1.06285,
        1.0725,
        1.10934,
        1.08939,
        1.02971,
        1.03052,
        1.04358,
        1.03513,
        1.03411,
        1.04986,
        1.0767,
        1.08019,
        1.05205,
        1.05641,
        1.03284,
        1.03601,
        1.03816,
        1.02645,
        1.0456,
        1.05893,
        1.04248,
        1.04154,
        1.0501,
        1.05011,
        1.04552,
        1.03587,
        1.03347,
        1.0457,
        1.04634,
        1.03329,
        1.02119,
        1.02283,
        1.06176,
        1.00818,
        1.03502,
        1.02075,
        1.02232,
        1.02632,
        1.02091,
        1.02715,
        1.02578,
        1.02464,
        1.02314,
        1.02045,
        1.01937,
        1.02294,
        1.03253,
        1.02833,
        1.02964,
        1.03057,
        1.03671,
        1.01556,
        1.05141,
        1.03902,
        0.99986,
        1.0168,
        1.02069,
        1.02414,
        1.03394,
        1.04043,
        1.02582,
        1.01672,
        1.03705,
        1.05159,
        1.03337,
        1.01707,
        1.03115,
        1.01638,
        1.03361,
        1.00743,
        1.00809,
        1.01364,
        1.03359,
        1.0245,
        1.02461,
        1.00738,
        0.999651,
        1.00586,
        1.0183,
        1.02955,
        1.02994,
        1.03527,
        1.05834,
        1.06482,
        1.05352,
        1.02185,
        1.08301,
        1.06159,
        1.02658,
        1.03365,
        1.01091,
        1.01763,
        1.02162,
        1.0477,
        1.10522,
        1.08453,
        1.05069,
        1.03519,
        1.02301,
        1.03205,
        1.03178,
        1.02645,
        1.00529,
        1.0044,
        1.03113,
        1.02719,
        0.993832,
        1.00383,
        1.01427,
        1.01933,
        1.00015,
        0.998893,
        0.992025,
        0.983805,
        1.00069,
        1.02661,
        1.01969,
        1.00144,
        1.01991,
        0.998142,
        0.986431,
        1.00818,
        1.018,
        0.999023,
        1.01459,
        0.998588,
        0.993025,
        1.00295,
        1.02769,
        1.0166,
        1.01361,
        1.02791,
        1.03438,
        1.01352,
        1.00707,
        1.02644,
        1.01711,
        1.00861,
        1.00563,
        1.00139,
        1.00586,
        1.01692,
        1.01894,
        1.01809,
        1.04275,
        1.02351,
        1.02206,
        1.04969,
        1.05222,
        1.027,
        1.02228,
        1.02146,
        1.03838,
        1.05694,
        1.03934,
        1.03056,
        1.03654,
        1.04957,
        1.06993,
        1.03158,
        1.01898,
        1.04684,
        1.0248,
        1.02612,
        1.03131,
        1.02805,
        1.02016,
        1.02394,
        1.04605,
        1.048,
        1.04386,
        1.04817,
        1.05271,
        1.05508,
        1.04463,
        1.02533,
        1.0293,
        1.02588,
        1.02668,
        1.04279,
        1.05792,
        1.09846,
        1.02069,
        1.00644,
        1.02989,
        1.03639,
        1.03228,
        1.02013,
        1.03806,
        1.0381,
        1.0204,
        1.02478,
        1.03323,
        1.04096,
        1.05247,
        1.02581,
        1.0433,
        1.06262,
        1.0561,
        1.05254,
        1.01646,
        1.03942,
        1.0395,
        1.05558,
        1.06545,
        1.06332,
        1.06469,
        1.0678,
        1.05509,
        1.05664,
        1.07366,
        1.07142,
        1.079,
        1.1049,
        1.09252,
        1.09911,
        1.10943,
        1.1079,
        1.17629,
        1.24207,
        1.03396,
        1.17332,
        1.14451,
        1.14373,
        1.1153,
        1.1128,
        1.13372,
        1.12106,
        1.07772,
        1.07334,
        1.11887,
        1.09494,
        null,
        1.00506,
        1.01185,
        1.01865,
        1.02576,
        1.0233,
        1.00389,
        1.00492,
        1.0225,
        1.02192,
        1.00281,
        0.998982,
        1.01445,
        1.00983,
        1.01164,
        0.99898,
        1.00426,
        1.01195,
        1.01206,
        1.03524,
        1.01959,
        1.00565,
        1.00834,
        1.00605,
        1.01028,
        1.01721,
        1.01763,
        1.01273,
        1.02,
        1.03204,
        1.01574,
        1.01939,
        1.01713,
        1.01623,
        1.01611,
        1.02527,
        1.01848,
        1.02093,
        1.00331,
        1.01888,
        1.01517,
        1.0196,
        1.03489,
        1.04802,
        1.0562,
        1.04058,
        1.02366,
        1.00556,
        1.00035,
        1.01593,
        1.02854,
        1.01752,
        1.01645,
        1.03482,
        1.03187,
        1.02479,
        1.04693,
        1.05062,
        1.03038,
        1.05006,
        1.02528,
        1.01802,
        1.03239,
        1.04257,
        1.00293,
        1.03074,
        1.0328,
        1.03718,
        1.00758,
        1.00002,
        1.0231,
        1.03607,
        1.02455,
        1.00562,
        1.01228,
        1.03159,
        1.0306,
        1.02248,
        1.01321,
        1.00983,
        1.01597,
        1.01808,
        1.01176,
        1.00699,
        1.01117,
        0.99791,
        1.01549,
        1.03344,
        1.03469,
        1.03101,
        1.03957,
        1.04165,
        1.0438,
        1.01239,
        0.999476,
        1.00255,
        1.00704,
        1.01286,
        1.02674,
        1.04358,
        1.03032,
        1.00573,
        1.00183,
        1.00611,
        1.01474,
        1.01345,
        1.01008,
        1.01102,
        0.99245,
        0.988065,
        0.980272,
        0.993707,
        1.01679,
        0.998165,
        1.02592,
        1.022,
        1.02079,
        1.01688,
        1.00634,
        1.00326,
        1.01426,
        1.00213,
        0.998964,
        0.993756,
        1.00098,
        1.00561,
        1.01243,
        1.0144,
        1.00694,
        1.00165,
        1.00327,
        1.00729,
        0.999722,
        0.994077,
        0.996658,
        0.987287,
        0.976271,
        0.976146,
        0.983116,
        0.98729,
        0.995197,
        0.999313,
        0.996668,
        0.987621,
        0.979224,
        0.981334,
        0.982864,
        0.983862,
        0.982807,
        0.977601,
        0.979268,
        0.998034,
        1.00234,
        0.978278,
        0.97945,
        0.986389,
        0.992468,
        0.994359,
        0.992829,
        0.999191,
        0.980737,
        0.985714,
        1.03122,
        1.01614,
        0.977478,
        0.969543,
        1.0002,
        1.00174,
        1.00597,
        0.98788,
        0.993205,
        0.996568,
        0.998127,
        1.00227,
        0.99974,
        1.00009,
        1.00917,
        1.00573,
        1.01073,
        1.00935,
        0.989705,
        0.992882,
        1.01129,
        1.00913,
        1.00945,
        1.00592,
        1.00347,
        1.00138,
        0.999229,
        1.01834,
        1.0217,
        1.02364,
        1.02034,
        1.01478,
        1.018,
        1.02238,
        1.02994,
        1.03548,
        1.02735,
        1.04637,
        1.03732,
        1.03508,
        1.02479,
        1.02754,
        1.04528,
        1.04893,
        1.05468,
        1.05221,
        1.03378,
        1.04209,
        1.04725,
        1.05002,
        1.05762,
        1.07601,
        1.08707,
        1.068,
        1.04166,
        1.04023,
        1.04242,
        1.0336,
        1.03783,
        1.04283,
        1.04434,
        1.0465,
        1.05222,
        1.05278,
        1.05267,
        1.0534,
        1.083,
        1.09917,
        1.03205,
        1.05337,
        1.04761,
        1.04258,
        1.08478,
        1.07485,
        1.05231,
        1.07392,
        1.07251,
        1.06969,
        1.07372,
        1.14378,
        1.12693,
        1.11144,
        1.11546,
        1.13009,
        1.11937,
        1.09055,
        1.10277,
        1.11049,
        1.10304,
        1.07312,
        1.04675,
        1.02706,
        0.98028,
        0.943332,
        0.912773,
        0.906972,
        0.917047,
        0.901621,
        0.926165,
        0.921522,
        0.952351,
        0.998058,
        1.04197,
        1.10666,
        1.15434,
        1.16651,
        1.17598,
        1.18794,
        1.15894,
        1.16261,
        1.19241,
        1.16708,
        1.16808,
        1.14767,
        1.13775,
        1.13318,
        1.12417,
        1.11785,
        1.13974,
        1.1586,
        1.14235,
        1.13451,
        1.1319,
        1.13171,
        1.13604,
        1.13933,
        1.11144,
        1.096,
        1.10601,
        1.11037,
        1.12005,
        1.12082,
        1.11927,
        1.13283,
        1.10814,
        1.09069,
        1.09687,
        1.10901,
        1.11477,
        1.1107,
        1.09914,
        1.10681,
        1.10666,
        1.13139,
        1.16495,
        1.12421,
        1.10019,
        1.09315,
        1.07829,
        1.07457,
        1.08087,
        1.08704,
        1.08685,
        1.08984,
        1.08683,
        1.0791,
        1.09047,
        1.08962,
        1.08806,
        1.08932,
        1.07531,
        1.07013,
        1.07124,
        1.05595,
        1.04896,
        1.01874,
        1.05047,
        1.05563,
        1.03237,
        1.04891,
        1.0276,
        1.03849,
        1.06659,
        1.0503,
        1.06063,
        1.05643,
        1.05203,
        1.059,
        1.07834,
        1.08608,
        1.05936,
        1.0278,
        1.08191,
        1.1325,
        1.09579,
        1.06369,
        1.06932,
        1.06468,
        1.04961,
        1.04996,
        1.06778,
        1.06741,
        1.04002,
        1.02521,
        1.02659,
        1.05094,
        1.06022,
        1.06373,
        1.04126,
        1.04094,
        1.04986,
        1.03958,
        1.04829,
        1.05412,
        1.02387,
        1.02518,
        1.04445,
        1.02488,
        1.04398,
        1.06277,
        1.04107,
        1.0418,
        1.04333,
        1.06247,
        1.05523,
        1.05352,
        1.08141,
        1.09249,
        1.06296,
        1.08318,
        1.09511,
        1.0482,
        1.03566,
        1.01538,
        1.02603,
        1.05921,
        1.02793,
        1.04854,
        1.00679,
        1.02949,
        1.03678,
        1.02863,
        1.01797,
        1.02931,
        1.03084,
        1.02038,
        1.02951,
        1.03686,
        1.0325,
        1.02703,
        1.01952,
        1.02068,
        1.03,
        1.02951,
        1.02431,
        1.0227,
        1.02202,
        1.0266,
        1.02101,
        1.00994,
        1.01759,
        1.01738,
        1.00486,
        1.00538,
        1.00994,
        1.00566,
        0.999074,
        0.997741,
        1.0107,
        1.02138,
        1.01472,
        1.01163,
        1.02477,
        1.02984,
        1.01186,
        1.02031,
        1.03619,
        1.00693,
        1.00696,
        1.01668,
        1.01083,
        0.993365,
        1.00244,
        1.01463,
        1.02001,
        1.00485,
        1.02047,
        0.997744,
        1.01097,
        1.00506,
        1.00799,
        1.00841,
        1.02548,
        1.02529,
        1.0007,
        1.00017,
        1.00032,
        1.00041,
        1.00881,
        1.00986,
        1.01379,
        1.02014,
        1.01901,
        1.02368,
        1.03906,
        1.02954,
        1.00322,
        1.00013,
        0.999766,
        1.00473,
        1.02706,
        1.01884,
        1.00697,
        1.00842,
        1.03249,
        1.02427,
        1.03443,
        1.02659,
        1.01448,
        1.03689,
        1.0234,
        0.994923,
        1.01602,
        1.04918,
        1.02166,
        1.03163,
        1.03865,
        1.02686,
        1.04346,
        1.03249,
        1.03201,
        1.02949,
        1.03756,
        1.01712,
        1.0146,
        1.02051,
        1.03519,
        1.03297,
        1.02964,
        1.03377,
        1.02513,
        1.01145,
        1.01386,
        1.02351,
        1.01555,
        1.02079,
        1.03275,
        1.0237,
        1.02129,
        1.00868,
        0.997892,
        0.995969,
        0.99877,
        1.00716,
        1.00453,
        1.008,
        1.01474,
        1.01998,
        1.02633,
        1.0106,
        1.00486,
        0.978771,
        1.0129,
        1.02783,
        1.01489,
        1.01506,
        1.00788,
        1.00525,
        1.01251,
        1.01692,
        1.03221,
        1.01875,
        1.01637,
        1.00401,
        1.0154,
        1.00057,
        1.01779,
        1.03396,
        1.03383,
        1.02932,
        1.02277,
        1.02885,
        1.05309,
        1.07935,
        1.08891,
        1.08007,
        1.05828,
        1.03633,
        1.03201,
        1.04916,
        1.05907,
        1.04014,
        1.02757,
        1.03967,
        1.05255,
        1.05565,
        1.06689,
        1.07834,
        1.10923,
        1.03673,
        1.02253,
        1.03632,
        1.04747,
        1.03591,
        1.05076,
        1.05842,
        1.04129,
        1.06182,
        1.03622,
        1.0226,
        1.03391,
        1.0389,
        1.01743,
        1.01934,
        1.01494,
        1.03327,
        1.02252,
        0.986531,
        1.00124,
        1.0257,
        1.02224,
        1.04164,
        1.04012,
        1.01749,
        1.02191,
        1.04982,
        1.05192,
        1.05074,
        1.08061,
        1.09192,
        1.06097,
        1.04895,
        1.06198,
        1.05401,
        1.02908,
        1.04221,
        1.05374,
        1.06674,
        1.09206,
        1.11342,
        1.11963,
        1.13218,
        1.12572,
        1.06235,
        1.0522,
        1.0797,
        1.08476,
        1.14515,
        1.17264,
        1.21424,
        1.23292,
        1.21751,
        1.1789,
        1.13623,
        1.15748,
        1.13467,
        1.15117,
        1.18169,
        1.10127,
        1.11031,
        1.15515,
        1.13454,
        1.11229,
        1.14383,
        1.15172,
        null,
        1.06303,
        1.13177,
        1.12238,
        1.12964,
        1.03912,
        1.08712,
        1.10616,
        1.05425,
        1.0618,
        1.05465,
        1.05622,
        1.06989,
        1.06271,
        1.06821,
        1.07918,
        1.08088,
        1.08182,
        1.05819,
        1.04839,
        1.05995,
        1.0438,
        1.04872,
        1.04617,
        1.06983,
        1.02331,
        1.02751,
        1.04245,
        1.04903,
        1.04204,
        1.04209,
        1.03389,
        1.02932,
        1.02891,
        1.03399,
        1.02864,
        1.02528,
        1.01265,
        1.01613,
        1.03251,
        1.05446,
        1.04685,
        1.05454,
        1.03378,
        1.0384,
        1.05943,
        1.04051,
        1.0202,
        0.998627,
        1.01663,
        1.02408,
        1.02389,
        1.01304,
        0.995179,
        1.00059,
        1.0189,
        1.00729,
        1.0149,
        1.02261,
        1.00091,
        0.989991,
        0.999025,
        1.00226,
        1.05046,
        1.02462,
        1.01302,
        1.01661,
        1.03025,
        1.02393,
        1.01185,
        1.01905,
        1.04402,
        1.01691,
        0.967128,
        0.986146,
        1.02615,
        1.0417,
        1.01109,
        1.01586,
        1.03159,
        1.01044,
        0.995568,
        1.0362,
        1.02569,
        1.02568,
        1.05093,
        1.03319,
        1.0315,
        1.01188,
        1.03093,
        1.01455,
        1.01706,
        1.04114,
        1.03399,
        1.0486,
        1.03711,
        1.02766,
        1.03559,
        1.02194,
        1.01508,
        1.01772,
        1.01396,
        1.01957,
        1.01369,
        1.02692,
        1.01448,
        1.01057,
        1.021,
        1.03819,
        1.04296,
        0.995589,
        1.018,
        1.02412,
        1.03904,
        1.03187,
        1.00284,
        1.00707,
        1.00564,
        1.00857,
        1.00691,
        1.00002,
        1.02841,
        1.03481,
        1.02394,
        1.00791,
        1.01977,
        1.00224,
        1.01878,
        1.02768,
        null,
        1.01984,
        1.03761,
        1.05537,
        1.06416,
        1.06013,
        1.05293,
        1.05141,
        1.05017,
        1.04745,
        1.06095,
        1.08532,
        1.08351,
        1.05817,
        1.05347,
        1.058,
        1.08003,
        1.07298,
        1.06932,
        1.07223,
        1.07468,
        1.09504,
        1.09909,
        1.0875,
        1.08801,
        1.08281,
        1.07491,
        1.07814,
        1.06269,
        1.06085,
        1.08628,
        1.09914,
        1.0733,
        1.07534,
        1.08096,
        1.07761,
        1.06216,
        1.05085,
        1.07848,
        1.07295,
        1.05926,
        1.07639,
        1.07151,
        1.05862,
        1.08323,
        1.0788,
        1.08609,
        1.0985,
        1.09061,
        1.07668,
        1.10476,
        1.06125,
        1.00897,
        1.02059,
        1.01017,
        1.05825,
        1.14524,
        1.07791,
        1.04009,
        1.10039,
        1.00822,
        1.08114,
        1.07498,
        1.06001,
        1.0697,
        1.02856,
        1.02046,
        1.05778,
        1.0757,
        1.06483,
        1.05295,
        1.05166,
        1.05236,
        1.04874,
        1.05438,
        1.0448,
        1.04382,
        1.02241,
        1.00512,
        1.01025,
        1.00914,
        0.993136,
        0.98184,
        0.996067,
        1.01748,
        0.993282,
        1.02315,
        1.02614,
        1.00681,
        1.03864,
        0.985235,
        0.957656,
        1.02015,
        1.06208,
        1.02366,
        1.04603,
        0.971639,
        0.988848,
        1.03386,
        0.990516,
        0.966783,
        0.973608,
        1.00859,
        1.01943,
        1.00269,
        1.0116,
        1.01368,
        1.00014,
        1.01741,
        1.0251,
        1.02667,
        1.01028,
        0.999437,
        1.00512,
        1.02385,
        1.02483,
        1.00319,
        0.996342,
        1.00931,
        1.02888,
        1.01877,
        0.999831,
        1.00913,
        1.01433,
        1.0117,
        1.01984,
        1.01791,
        1.01962,
        1.01375,
        0.989614,
        0.987139,
        0.993591,
        0.981033,
        0.995176,
        1.0126,
        1.01249,
        0.997063,
        0.999696,
        0.999975,
        0.972237,
        0.963308,
        0.995932,
        0.981835,
        0.974723,
        0.978942,
        0.956963,
        0.999381,
        1.02267,
        1.00097,
        0.987263,
        0.978423,
        1.00623,
        1.00699,
        1.01436,
        0.97703,
        0.974261,
        0.962614,
        0.971684,
        0.962258,
        0.973492,
        0.989747,
        0.979722,
        0.967843,
        1.00285,
        0.96785,
        0.989452,
        1.01239,
        0.978681,
        0.995644,
        0.987456,
        0.96655,
        0.986076,
        0.981653,
        0.976981,
        0.949075,
        0.953324,
        0.975666,
        0.970255,
        0.993415,
        0.969496,
        0.985066,
        0.991045,
        0.961319,
        0.977125,
        0.984618,
        0.988313,
        0.973761,
        0.976612,
        0.990687,
        0.993405,
        0.990543,
        0.993417,
        1.0012,
        0.98494,
        0.982544,
        0.995259,
        0.993939,
        0.969663,
        0.992715,
        0.995476,
        0.983945,
        0.996485,
        0.998314,
        0.982268,
        0.98884,
        0.990791,
        0.977137,
        0.980695,
        0.982731,
        0.973869,
        0.974061,
        0.963158,
        0.96254,
        0.966882,
        0.987077,
        0.995527,
        0.997988,
        0.990797,
        0.98994,
        0.986991,
        0.988259,
        0.991827,
        0.986772,
        0.988239,
        0.990616,
        0.98129,
        0.993415,
        1.002,
        0.993823,
        1.00825,
        0.998869,
        0.988288,
        0.987025,
        0.983607,
        0.969684,
        0.981869,
        1.00333,
        0.995763,
        1.00409,
        1.0104,
        0.99425,
        0.978787,
        1.01199,
        0.997153,
        1.00132,
        0.99356,
        1.0079,
        0.987887,
        1.00212,
        0.984596,
        1.00341,
        0.992898,
        0.982341,
        0.998608,
        0.981587,
        0.964631,
        0.973939,
        1.00451,
        0.987264,
        0.963485,
        0.969754,
        1.01785,
        1.00196,
        1.02727,
        1.03155,
        0.983794,
        1.00219,
        1.00329,
        0.957816,
        1.00233,
        0.985437,
        0.986873,
        0.966927,
        0.996351,
        0.994349,
        1.00697,
        0.990872,
        1.00153,
        1.0087,
        1.00353,
        1.00447,
        1.01714,
        1.01763,
        1.00707,
        1.00632,
        1.01046,
        0.990094,
        0.983612,
        1.00613,
        0.995606,
        1.00318,
        0.987656,
        0.995456,
        1.00165,
        0.966745,
        0.970692,
        0.978333,
        0.961143,
        0.946951,
        0.954845,
        0.95979,
        0.970259,
        0.970406,
        0.967428,
        0.988233,
        0.98313,
        0.979647,
        0.984945,
        0.979255,
        0.970972,
        0.966435,
        0.96861,
        0.982899,
        0.987481,
        0.961712,
        0.951058,
        0.991005,
        0.990823,
        0.987726,
        0.997215,
        1.00326,
        1.00468,
        0.978003,
        0.996101,
        1.01442,
        0.983288,
        0.974033,
        0.993249,
        0.997559,
        0.979241,
        1.00734,
        1.00288,
        0.997543,
        1.00387,
        0.995962,
        0.986186,
        0.965981,
        0.978896,
        1.00224,
        0.987847,
        0.967581,
        0.96155,
        0.990802,
        0.997157,
        0.987543,
        0.963048,
        0.987166,
        1.00298,
        0.999507,
        1.00204,
        1.01013,
        1.02245,
        1.01613,
        1.02261,
        1.01945,
        1.02331,
        1.01883,
        1.01337,
        1.0348,
        1.04169,
        1.0252,
        0.999322,
        1.01166,
        1.00896,
        1.05519,
        1.06346,
        1.0705,
        1.05937,
        1.04645,
        1.05212,
        1.02964,
        1.0266,
        1.03019,
        1.01938,
        1.01292,
        1.02911,
        1.03886,
        1.02676,
        1.0432,
        1.03817,
        1.02591,
        1.01946,
        1.01667,
        1.01558,
        1.02116,
        1.02886,
        1.01855,
        1.02647,
        1.00853,
        1.0235,
        1.03695,
        1.0034,
        0.970452,
        0.94068,
        1.00645,
        1.02009,
        0.963059,
        0.975359,
        0.99038,
        0.896362,
        0.898566,
        0.850556,
        0.887576,
        0.978886,
        1.01041,
        1.05459,
        1.06816,
        1.07585,
        1.07874,
        1.07373,
        1.09724,
        1.07748,
        1.09411,
        1.08134,
        1.08063,
        1.04668,
        1.04078,
        1.09549,
        1.08112,
        1.06247,
        1.07885,
        1.07141,
        1.06229,
        1.06087,
        1.06079,
        1.05851,
        1.06675,
        1.07858,
        1.0653,
        1.04725,
        1.07155,
        1.06644,
        1.05101,
        1.06865,
        1.05485,
        1.05637,
        1.05601,
        1.0328,
        1.03458,
        1.04156,
        1.02686,
        1.0271,
        1.02682,
        1.02142,
        1.0278,
        1.01308,
        1.01187,
        1.02151,
        1.02678,
        1.05913,
        1.04725,
        1.01216,
        1.03258,
        1.04887,
        1.03671,
        1.03129,
        1.07385,
        1.06498,
        1.08144,
        1.08633,
        1.07332,
        1.04786,
        1.05241,
        1.05228,
        1.06784,
        1.07292,
        1.0657,
        1.0609,
        1.04074,
        1.04617,
        1.06253,
        1.06347,
        1.071,
        1.06418,
        1.04998,
        1.04441,
        1.05344,
        1.0776,
        1.08074,
        1.06234,
        1.04468,
        1.0415,
        1.08438,
        1.07736,
        1.05996,
        1.05269,
        1.04706,
        1.05882,
        1.05211,
        1.08089,
        1.05777,
        1.05124,
        1.05837,
        1.05868,
        1.05453,
        1.03943,
        1.04511,
        1.03096,
        1.02031,
        1.03082,
        1.02406,
        1.02876,
        1.02836,
        1.03658,
        1.03915,
        1.02321,
        1.01182,
        1.02395,
        1.02887,
        1.02405,
        1.03168,
        1.02254,
        1.02788,
        1.04374,
        1.03448,
        1.01329,
        1.00944,
        0.98903,
        1.00179,
        0.979764,
        0.995185,
        1.01085,
        1.05286,
        1.01076,
        1.00551,
        1.00312,
        1.01125,
        0.989921,
        0.999834,
        1.01365,
        1.02476,
        0.98522,
        0.974274,
        0.98053,
        0.98517,
        0.988938,
        0.990759,
        0.985769,
        0.980333,
        1.00278,
        1.00516,
        1.00872,
        1.01741,
        1.00633,
        0.981858,
        0.980733,
        0.96035,
        0.962889,
        0.9848,
        0.988189,
        0.955346,
        0.968331,
        0.99722,
        1.00805,
        0.969715,
        0.945796,
        1.00884,
        0.999978,
        0.926483,
        0.937286,
        1.00513,
        0.967953,
        0.993542,
        0.996125,
        0.939559,
        0.927679,
        0.961968,
        0.958282,
        0.935885,
        0.983532,
        0.958196,
        0.989267,
        0.989561,
        0.983308,
        0.973065,
        0.985788,
        0.992125,
        0.991009,
        0.977809,
        0.993617,
        0.986799,
        0.982597,
        0.986741,
        0.98734,
        0.986269,
        0.994573,
        1.00836,
        0.991802,
        0.997282,
        0.976828,
        0.959166,
        0.965544,
        0.977769,
        1.00076,
        0.986205,
        0.994347,
        0.977707,
        0.987573,
        0.97219,
        0.993167,
        0.998742,
        0.987006,
        1.0057,
        1.02024,
        1.01632,
        1.00941,
        1.00458,
        0.986478,
        0.987808,
        0.985021,
        1.00119,
        0.983078,
        0.981134,
        0.994334,
        0.998261,
        1.00166,
        1.00365,
        0.998997,
        0.975598,
        1.01029,
        1.0116,
        1.0103,
        1.00555,
        1.00587,
        0.98421,
        0.978791,
        0.98378,
        1.00376,
        0.988017,
        0.979457,
        0.982418,
        0.989411,
        1.00767,
        1.0081,
        0.99712,
        1.00669,
        1.02056,
        1.00359,
        1.01019,
        1.0117,
        1.02562,
        1.0171,
        1.01182,
        1.00912,
        1.03356,
        0.997681,
        1.0063,
        0.998976,
        1.0167,
        1.0422,
        1.01225,
        1.03682,
        1.03848,
        1.0102,
        1.00636,
        0.981505,
        1.01019,
        1.027,
        1.03668,
        1.03414,
        1.02892,
        1.02984,
        1.03384,
        1.02421,
        1.01613,
        1.02618,
        1.03638,
        1.03631,
        1.04777,
        1.0373,
        1.03344,
        0.994363,
        1.02053,
        1.03593,
        1.03932,
        1.03039,
        1.05306,
        1.04845,
        1.04293,
        1.03416,
        1.0258,
        1.02649,
        1.02831,
        1.02261,
        1.02984,
        1.04236,
        1.03999,
        1.02096,
        1.01252,
        1.01635,
        1.00988,
        1.01699,
        1.02211,
        1.04054,
        1.019,
        1.00991,
        1.01134,
        1.05964,
        1.0547,
        1.01353,
        1.04852,
        0.994096,
        0.969956,
        0.982695,
        1.01115,
        1.01243,
        1.02596,
        1.04488,
        1.03024,
        0.986121,
        0.995925,
        1.03686,
        1.06387,
        1.03072,
        0.990906,
        1.09729,
        1.02177,
        0.965394,
        null,
        1.13813,
        1.11095,
        1.13081,
        1.05612,
        1.01511,
        1.06322,
        1.08185,
        1.08096,
        1.05542,
        1.04427,
        1.07709,
        1.04241,
        1.03156,
        1.06667,
        1.0372,
        1.03093,
        1.07485,
        1.08807,
        1.05549,
        1.0191,
        1.05254,
        1.09299,
        1.09926,
        1.10522,
        1.09858,
        1.09748,
        1.10957,
        1.09973,
        1.11403,
        1.12179,
        1.08535,
        1.05865,
        1.09176,
        1.10364,
        1.08201,
        1.10852,
        1.10321,
        1.13769,
        1.16831,
        1.12428,
        1.11256,
        1.09555,
        1.15725,
        1.16265,
        1.0894,
        1.14751,
        1.16984,
        1.14958,
        1.22437,
        1.23463,
        1.18298,
        null,
        0.981284,
        1.03595,
        1.06997,
        1.05097,
        1.02846,
        1.04271,
        1.10138,
        1.074,
        1.05343,
        1.04275,
        1.06241,
        1.06463,
        1.05597,
        1.05914,
        1.05878,
        1.05331,
        1.03403,
        1.02378,
        1.02131,
        1.03215,
        1.03249,
        1.03051,
        1.02993,
        1.03423,
        1.03811,
        1.03979,
        1.04891,
        1.05137,
        1.04474,
        1.04509,
        1.03479,
        1.01631,
        1.05864,
        1.06109,
        1.03654,
        1.02691,
        1.0325,
        1.04129,
        1.02534,
        1.04266,
        1.05409,
        1.00653,
        1.01636,
        1.03758,
        1.04714,
        1.0558,
        1.05688,
        1.04583,
        1.03988,
        1.02978,
        1.01357,
        1.02982,
        1.02973,
        1.01329,
        1.00284,
        0.995185,
        0.991613,
        1.00599,
        1.00153,
        0.992434,
        1.01066,
        1.01599,
        1.01663,
        1.01932,
        1.00393,
        0.988567,
        0.985263,
        0.974978,
        0.967417,
        0.966406,
        0.970099,
        0.981458,
        1.00191,
        0.984955,
        0.966198,
        0.947768,
        0.968397,
        0.973979,
        0.96903,
        0.970362,
        0.963363,
        0.952486,
        0.944569,
        0.957031,
        0.971684,
        0.96588,
        0.942358,
        0.92778,
        0.943173,
        0.96094,
        0.970644,
        0.96595,
        0.947196,
        0.93653,
        0.937524,
        0.942538,
        0.943347,
        0.94091,
        0.956114,
        0.956399,
        0.94663,
        0.942762,
        0.945871,
        0.94829,
        0.931684,
        0.930357,
        0.938107,
        0.954411,
        0.962954,
        0.961525,
        0.943818,
        0.936067,
        0.934543,
        0.940447,
        0.93933,
        0.945896,
        0.962351,
        0.954979,
        0.948789,
        0.944133,
        0.9466,
        0.935753,
        0.920503,
        0.939602,
        0.945564,
        0.944122,
        0.939429,
        0.938583,
        0.938611,
        0.936793,
        0.959057,
        0.976132,
        0.970525,
        0.970702,
        0.967893,
        0.95891,
        0.977757,
        0.982699,
        0.969114,
        0.966815,
        0.963496,
        0.959622,
        0.959733,
        0.954788,
        0.947958,
        0.95113,
        0.955807,
        0.951371,
        0.910277,
        0.909512,
        0.923922,
        0.941266,
        0.932544,
        0.929481,
        0.949534,
        0.94809,
        0.92955,
        0.891392,
        0.942211,
        0.901935,
        0.908565,
        0.926681,
        0.952998,
        0.947798,
        0.929648,
        0.90672,
        0.928914,
        0.942705,
        0.952611,
        0.966877,
        0.968492,
        0.963458,
        0.953771,
        0.960931,
        0.970441,
        0.974568,
        0.966508,
        0.957637,
        0.951084,
        0.951479,
        0.953015,
        0.955196,
        0.956073,
        0.959162,
        0.964486,
        0.974453,
        0.981083,
        0.981986,
        0.959987,
        0.961073,
        0.971206,
        0.97218,
        0.973106,
        0.968164,
        0.947801,
        0.950214,
        0.960707,
        0.975819,
        0.963667,
        0.961471,
        0.978679,
        0.965703,
        0.958392,
        0.958449,
        0.960769,
        0.956765,
        0.949107,
        0.958726,
        0.965928,
        0.966783,
        0.942417,
        0.934314,
        0.937096,
        0.952404,
        0.953843,
        0.944733,
        0.920231,
        0.930483,
        0.942273,
        0.944728,
        0.944812,
        0.95046,
        0.963258,
        0.955088,
        0.950491,
        0.949827,
        0.956998,
        0.953524,
        0.943064,
        0.93837,
        0.946269,
        0.954911,
        0.939344,
        0.936904,
        0.938652,
        0.938848,
        0.947948,
        0.952351,
        0.943616,
        0.963388,
        0.97996,
        0.985154,
        0.969473,
        0.953653,
        0.970443,
        0.962202,
        0.950889,
        0.937918,
        0.965224,
        0.961129,
        0.938657,
        0.94001,
        0.932492,
        0.930067,
        0.944623,
        0.936098,
        0.93,
        0.933244,
        0.935073,
        0.926234,
        0.928234,
        0.937405,
        0.942421,
        0.953973,
        0.953003,
        0.943428,
        0.937674,
        0.954391,
        0.957132,
        0.954559,
        0.933944,
        0.965553,
        0.960746,
        0.94982,
        0.94948,
        0.942833,
        0.945947,
        0.964367,
        0.966981,
        0.955538,
        0.959671,
        0.948215,
        0.96578,
        0.961247,
        0.96557,
        0.943028,
        0.965212,
        0.964753,
        0.95527,
        0.963803,
        0.954262,
        0.938406,
        0.952687,
        0.955498,
        0.957818,
        0.952822,
        0.948554,
        0.963713,
        0.978863,
        0.961801,
        0.959862,
        0.959096,
        0.953675,
        0.965386,
        0.966369,
        0.976297,
        0.961548,
        0.943514,
        0.955027,
        0.905015,
        0.932491,
        0.94038,
        0.9565,
        0.946309,
        0.961761,
        0.919289,
        0.959864,
        0.947395,
        0.948068,
        0.952705,
        0.92411,
        0.928653,
        0.92294,
        0.968849,
        0.981983,
        0.96029,
        0.944446,
        0.956069,
        0.976138,
        0.978089,
        0.954305,
        0.970614,
        0.963304,
        0.979083,
        0.973694,
        0.977796,
        0.982184,
        0.994294,
        0.98693,
        0.98056,
        0.986322,
        0.986925,
        0.994547,
        0.976619,
        0.989368,
        0.98222,
        0.999442,
        0.997841,
        1.00888,
        1.01617,
        1.00809,
        1.00587,
        1.00747,
        1.01843,
        1.02295,
        0.987331,
        0.980342,
        1.00684,
        1.02472,
        1.0362,
        1.03207,
        1.03963,
        1.04905,
        1.03642,
        0.993808,
        0.992364,
        1.0182,
        1.0319,
        1.01041,
        0.992147,
        1.0011,
        1.03328,
        1.02299,
        1.04996,
        1.02958,
        1.04085,
        1.08747,
        1.05844,
        0.966565,
        0.943057,
        0.989133,
        1.03164,
        null,
        1.0553,
        1.05424,
        1.05099,
        1.04181,
        1.05755,
        1.08813,
        1.08066,
        1.0577,
        1.06185,
        1.10023,
        1.06469,
        1.04129,
        1.03516,
        1.06822,
        1.07841,
        1.11595,
        1.09404,
        1.06713,
        1.08094,
        1.05793,
        1.02129,
        0.989438,
        0.963085,
        0.969165,
        0.898557,
        0.885816,
        0.92483,
        0.886009,
        0.869318,
        0.886434,
        0.938424,
        0.958188,
        0.949251,
        0.987237,
        1.04085,
        1.09367,
        1.069,
        1.07767,
        1.10102,
        1.11741,
        1.12376,
        1.12499,
        1.12195,
        1.137,
        1.14523,
        1.13465,
        1.08318,
        1.05923,
        1.07596,
        1.02541,
        0.976443,
        1.00317,
        0.999486,
        0.964049,
        0.963198,
        1.00595,
        1.03879,
        0.997348,
        1.01407,
        0.991323,
        0.994453,
        1.01762,
        1.00891,
        1.00293,
        1.02369,
        1.00516,
        1.01271,
        1.03089,
        1.02315,
        1.01852,
        1.01421,
        1.01661,
        1.02051,
        1.01389,
        0.997509,
        0.996272,
        1.01953,
        1.0033,
        1.01998,
        1.0118,
        0.996808,
        0.998114,
        0.997924,
        0.984512,
        0.971553,
        0.984946,
        1.00229,
        1.00138,
        0.983919,
        0.98735,
        0.989449,
        0.976257,
        0.969699,
        0.971475,
        0.961458,
        0.959086,
        0.970578,
        0.975087,
        0.962504,
        0.97804,
        0.951526,
        0.951077,
        0.954715,
        0.947448,
        0.944711,
        0.949272,
        0.959559,
        0.955956,
        0.93958,
        0.931743,
        0.945871,
        0.932194,
        0.92536,
        0.939688,
        0.955398,
        0.939268,
        0.952774,
        0.95655,
        0.945706,
        0.942216,
        0.921814,
        0.924384,
        0.933245,
        0.945767,
        0.953721,
        0.947209,
        0.960267,
        0.960836,
        0.969792,
        0.964868,
        0.957307,
        0.955273,
        0.95869,
        0.965211,
        0.975114,
        0.964905,
        0.959207,
        0.960937,
        0.957446,
        0.961446,
        0.970867,
        0.966702,
        0.963761,
        0.966588,
        0.952536,
        0.938065,
        0.953941,
        0.956408,
        0.946809,
        0.961727,
        0.954551,
        0.95454,
        0.961949,
        0.963396,
        0.951679,
        0.952552,
        0.946021,
        0.950657,
        0.956331,
        0.977787,
        0.953743,
        0.968477,
        0.967213,
        0.965931,
        0.976493,
        0.963991,
        0.949244,
        0.94296,
        0.952084,
        0.983469,
        0.969041,
        0.987244,
        0.969826,
        0.964034,
        0.958946,
        0.95987,
        0.964501,
        0.980033,
        0.982079,
        0.976046,
        0.971705,
        0.970205,
        0.978072,
        0.946832,
        0.982459,
        0.97542,
        0.965894,
        0.964978,
        0.961627,
        0.962438,
        0.954451,
        0.970212,
        0.964606,
        0.956865,
        0.973275,
        0.966104,
        0.969986,
        0.963454,
        0.956512,
        0.955029,
        0.958304,
        0.944421,
        0.959531,
        0.972086,
        0.92495,
        0.893302,
        0.900882,
        0.950379,
        0.915245,
        0.898915,
        0.882034,
        0.926985,
        0.929853,
        0.918748,
        0.941074,
        0.944038,
        0.917019,
        0.916504,
        0.938411,
        0.972368,
        0.962137,
        0.94195,
        0.94319,
        0.950326,
        0.948981,
        0.936147,
        0.945628,
        0.939036,
        0.945306,
        0.938289,
        0.945796,
        0.926707,
        0.931079,
        0.929556,
        0.945542,
        0.942354,
        0.963748,
        0.976421,
        0.962778,
        0.961805,
        0.969764,
        0.960004,
        0.961747,
        0.96797,
        0.951802,
        0.945818,
        0.950889,
        0.941882,
        0.950042,
        0.952067,
        0.948794,
        0.953666,
        0.956674,
        0.94864,
        0.947042,
        0.965591,
        0.946747,
        0.930724,
        0.937891,
        0.942695,
        0.946894,
        0.957431,
        0.944353,
        0.941206,
        0.943784,
        0.948756,
        0.944408,
        0.945132,
        0.955361,
        0.952088,
        0.951703,
        0.960979,
        0.960856,
        0.943199,
        0.943311,
        0.930288,
        0.926671,
        0.940126,
        0.925337,
        0.953927,
        0.959229,
        0.961461,
        0.957799,
        0.957628,
        0.950277,
        0.964834,
        0.961226,
        0.952594,
        0.956095,
        0.957595,
        0.958512,
        0.969804,
        0.956986,
        0.953018,
        0.962241,
        0.960488,
        0.961906,
        0.951364,
        0.946481,
        0.944374,
        0.937546,
        0.967051,
        0.959837,
        0.947794,
        0.944027,
        0.963311,
        0.970879,
        0.957999,
        0.963959,
        0.967508,
        0.965001,
        0.967291,
        0.964236,
        0.952669,
        0.943661,
        0.949759,
        0.950861,
        0.949765,
        0.962064,
        0.955586,
        0.947243,
        0.949764,
        0.966655,
        0.960389,
        0.935734,
        0.939605,
        0.956697,
        0.949659,
        0.948164,
        0.946781,
        0.940562,
        0.953632,
        0.96,
        0.95817,
        0.952352,
        0.950474,
        0.945774,
        0.950233,
        0.961107,
        0.95327,
        0.955829,
        0.936611,
        0.962778,
        0.955496,
        0.951058,
        0.950426,
        0.955892,
        0.950935,
        0.945578,
        0.959995,
        0.967275,
        0.966292,
        0.946399,
        0.957866,
        0.956462,
        0.957931,
        0.95526,
        0.972252,
        0.948791,
        0.938524,
        0.959318,
        0.94821,
        0.95492,
        0.921538,
        0.949597,
        0.971788,
        0.951242,
        0.9335,
        0.925356,
        0.938868,
        0.948016,
        0.947767,
        1.00441,
        0.862489,
        0.947896,
        0.914386,
        0.896155,
        0.887447,
        0.954507,
        0.953067,
        0.959195,
        0.960951,
        0.971747,
        0.964891,
        0.953299,
        0.936707,
        0.940952,
        0.951944,
        0.959224,
        0.957267,
        0.980652,
        0.968268,
        0.982288,
        0.97198,
        0.960617,
        0.961642,
        0.971621,
        0.970449,
        0.970661,
        0.954746,
        0.966977,
        0.974814,
        0.975782,
        0.97364,
        0.96925,
        0.974277,
        0.962406,
        0.96625,
        0.969171,
        0.96145,
        0.963256,
        0.967741,
        0.98578,
        0.971299,
        0.967037,
        0.970945,
        0.978127,
        0.976157,
        0.984443,
        0.985193,
        0.972625,
        0.984174,
        0.988814,
        0.992309,
        0.984886,
        0.987785,
        1.00264,
        0.996477,
        0.999756,
        0.99614,
        0.980584,
        0.993061,
        0.993409,
        1.00069,
        1.01574,
        1.01536,
        1.02598,
        1.01478,
        1.01189,
        1.0041,
        1.01103,
        1.00574,
        1.0112,
        1.00974,
        1.00327,
        0.997354,
        0.996364,
        1.00955,
        1.02796,
        1.01767,
        1.01638,
        0.99697,
        1.02108,
        1.02608,
        1.01168,
        1.00204,
        1.01336,
        1.01412,
        1.00855,
        1.01773,
        1.0058,
        1.01326,
        1.00557,
        1.00195,
        1.01343,
        1.01454,
        1.01664,
        1.01534,
        1.00423,
        1.01278,
        1.02785,
        1.0134,
        1.01919,
        1.02844,
        1.01587,
        1.0187,
        1.01802,
        1.00843,
        1.01401,
        1.00877,
        1.01707,
        1.00909,
        1.01696,
        1.03254,
        1.02023,
        1.0316,
        1.03553,
        1.05138,
        1.05513,
        1.07288,
        1.04969,
        1.04077,
        1.04336,
        1.02304,
        0.993268,
        0.962583,
        0.932167,
        0.916543,
        0.901704,
        0.870901,
        0.889153,
        0.902291,
        0.916393,
        0.919856,
        0.960582,
        0.975678,
        1.0195,
        1.03904,
        1.05492,
        1.06409,
        1.07063,
        1.06769,
        1.07541,
        1.07859,
        1.06868,
        1.04963,
        1.03923,
        1.03721,
        1.06746,
        1.05985,
        1.04138,
        1.02259,
        1.02852,
        1.02893,
        1.01773,
        1.04042,
        1.04171,
        1.02216,
        0.99008,
        0.977767,
        1.01682,
        1.0359,
        1.00832,
        0.980138,
        0.96784,
        0.975779,
        0.961509,
        0.921596,
        0.902891,
        0.935281,
        0.97881,
        0.946669,
        0.967213,
        0.962724,
        0.998175,
        1.00293,
        1.01449,
        1.00382,
        1.00655,
        1.00892,
        1.01088,
        0.988387,
        1.00867,
        1.01488,
        1.01162,
        1.00636,
        1.02252,
        1.00128,
        1.00652,
        1.02549,
        1.01836,
        1.02301,
        1.01758,
        1.041,
        1.03689,
        1.02428,
        1.02973,
        1.0261,
        1.01956,
        1.01161,
        1.01786,
        1.01495,
        0.998708,
        0.998602,
        0.98963,
        1.00202,
        0.986534,
        0.986723,
        0.985444,
        0.989165,
        0.992682,
        0.973083,
        0.974939,
        0.984967,
        0.995259,
        0.995581,
        0.990052,
        0.98138,
        0.970159,
        0.989051,
        0.992184,
        0.994867,
        0.988527,
        0.978439,
        0.980892,
        0.980794,
        0.984082,
        0.991626,
        0.990214,
        0.976859,
        0.982685,
        0.966303,
        0.983565,
        0.978414,
        0.956724,
        0.97845,
        0.9914,
        0.978444,
        0.970229,
        0.953503,
        0.970627,
        0.988918,
        0.967138,
        0.962269,
        0.966232,
        0.96075,
        0.967566,
        0.964214,
        0.98247,
        0.962961,
        0.968773,
        0.962252,
        0.96431,
        0.977911,
        0.969774,
        0.962764,
        0.952536,
        0.953469,
        0.968378,
        0.981658,
        0.977005,
        0.98074,
        0.978558,
        0.959066,
        0.937284,
        0.939979,
        0.935188,
        0.928774,
        0.935891,
        0.951063,
        0.959064,
        0.956444,
        0.949757,
        0.945834,
        0.957204,
        0.962013,
        0.943875,
        0.944395,
        0.949754,
        0.958242,
        0.954528,
        0.954829,
        0.958865,
        0.955841,
        0.95287,
        0.950281,
        0.949547,
        0.955764,
        0.962405,
        0.961079,
        0.97026,
        0.975021,
        0.965933,
        0.972951,
        0.968236,
        0.945928,
        0.943352,
        0.938926,
        0.932938,
        0.932575,
        0.937269,
        0.943943,
        0.946101,
        0.947534,
        0.94761,
        0.944767,
        0.952118,
        0.962847,
        0.975658,
        0.976246,
        0.964142,
        0.938835,
        0.965523,
        0.973237,
        0.967796,
        0.982549,
        0.985564,
        0.982883,
        0.982369,
        0.996402,
        1.00437,
        0.985651,
        0.96673,
        0.95864,
        0.967907,
        0.957044,
        0.957415,
        0.969924,
        0.949259,
        0.933396,
        0.927939,
        0.97076,
        0.970465,
        0.95804,
        0.974313,
        0.869341,
        0.85986,
        0.858698,
        0.890514,
        0.962709,
        0.930414,
        0.908426,
        0.899399,
        0.929779,
        0.941248,
        0.944226,
        0.957527,
        0.957116,
        0.946145,
        0.920298,
        0.934389,
        0.945054,
        0.936184,
        0.94587,
        0.945399,
        0.932633,
        0.934183,
        0.931297,
        0.927388,
        0.940634,
        0.929973,
        0.912334,
        null,
        0.916215,
        0.91269,
        0.909165,
        0.905639,
        0.902114,
        0.900509,
        0.901456,
        0.903153,
        0.897709,
        0.890778,
        0.901399,
        0.909351,
        0.911239,
        0.902522,
        0.901361,
        0.903941,
        0.909579,
        0.912429,
        0.909041,
        0.90353,
        0.902926,
        0.910616,
        0.91859,
        0.923693,
        0.922793,
        0.920383,
        0.916832,
        0.912471,
        0.923513,
        0.932661,
        0.918881,
        0.924038,
        0.923813,
        0.913455,
        0.920221,
        0.918881,
        0.913517,
        0.914013,
        0.929023,
        0.941966,
        0.941747,
        0.952581,
        0.938671,
        0.901925,
        0.908624,
        0.916663,
        0.921503,
        0.913285,
        0.916831,
        0.920812,
        0.921556,
        0.939724,
        0.938502,
        0.921203,
        0.902011,
        0.903088,
        0.91229,
        0.922296,
        0.919036,
        0.917593,
        0.920186,
        0.916519,
        0.920037,
        0.925538,
        0.921613,
        0.911818,
        0.904754,
        0.905504,
        0.898483,
        0.893477,
        0.889468,
        0.873489,
        0.88709,
        0.90136,
        0.880074,
        0.87358,
        0.878368,
        0.866224,
        0.83764,
        0.823102,
        0.850747,
        0.866808,
        0.872442,
        0.878164,
        0.887563,
        0.894735,
        0.893478,
        0.892618,
        0.887928,
        0.879538,
        0.88849,
        0.895688,
        0.900929,
        0.902464,
        0.91109,
        0.911763,
        0.895807,
        0.896113,
        0.895507,
        0.89482,
        0.906039,
        0.906213,
        0.904058,
        0.908237,
        0.914681,
        0.911541,
        0.896143,
        0.907038,
        0.915932,
        0.919613,
        0.904837,
        0.916822,
        0.927997,
        0.922078,
        0.919897,
        0.922901,
        0.930482,
        0.93467,
        0.92069,
        0.912089,
        0.94489,
        0.938711,
        0.936167,
        0.950523,
        0.939071,
        0.923162,
        0.904361,
        0.887457,
        0.903583,
        0.920387,
        0.914353,
        0.911305,
        0.911593,
        0.913926,
        0.897452,
        0.897342,
        0.90301,
        0.898725,
        0.892388,
        0.897326,
        0.920755,
        0.924448,
        0.926562,
        0.926464,
        0.918305,
        0.916165,
        0.917139,
        0.919755,
        0.923085,
        0.929479,
        0.938621,
        0.932945,
        0.932899,
        0.935486,
        0.935487,
        0.925341,
        0.924383,
        0.94231,
        0.937883,
        0.925336,
        0.911018,
        0.925299,
        0.92881,
        0.923107,
        0.90506,
        0.926546,
        0.941599,
        0.940972,
        0.927445,
        0.926139,
        0.930548,
        0.927552,
        0.942779,
        0.949802,
        0.933686,
        0.932866,
        0.930389,
        0.925957,
        0.922735,
        0.929438,
        0.937178,
        0.936183,
        0.945562,
        0.946799,
        0.936071,
        0.931401,
        0.932568,
        0.9382,
        0.946565,
        0.937844,
        0.92409,
        0.90997,
        0.912244,
        0.915542,
        0.919619,
        0.93195,
        0.945664,
        0.953066,
        0.942663,
        0.942647,
        0.941895,
        0.938221,
        0.950347,
        0.945044,
        0.931655,
        0.931937,
        0.922187,
        0.915649,
        0.920888,
        0.919525,
        0.914502,
        0.909608,
        0.930661,
        0.936266,
        0.931049,
        0.914987,
        0.930942,
        0.944875,
        0.947895,
        0.927863,
        0.926193,
        0.93575,
        0.942256,
        0.928594,
        0.913674,
        0.908699,
        0.917393,
        0.924605,
        0.925784,
        0.895694,
        0.898582,
        0.910931,
        0.907097,
        0.911385,
        0.918479,
        0.937252,
        0.927575,
        0.921833,
        0.917439,
        0.914319,
        0.9136,
        0.915245,
        0.917161,
        0.917141,
        0.933041,
        0.943707,
        0.944709,
        0.967834,
        0.964672,
        0.951063,
        0.963965,
        0.964329,
        0.9647,
        0.970959,
        0.947594,
        0.952609,
        0.979902,
        0.964858,
        0.956095,
        0.952956,
        0.9571,
        0.965634,
        0.966389,
        0.958254,
        0.971898,
        0.977775,
        0.97521,
        0.957135,
        0.959479,
        0.965578,
        0.968526,
        0.960444,
        0.963787,
        0.972869,
        0.955275,
        0.959688,
        0.970599,
        0.976878,
        0.981008,
        0.979309,
        0.971831,
        0.978606,
        0.979274,
        0.977894,
        0.98167,
        0.979877,
        0.976952,
        0.974302,
        0.986804,
        1.00008,
        1.01011,
        0.99657,
        0.994347,
        0.996222,
        0.997532,
        0.998255,
        1.00386,
        1.01339,
        1.00576,
        1.00835,
        1.01298,
        1.00774,
        1.012,
        1.01644,
        1.01814,
        1.01722,
        1.02117,
        1.02763,
        1.02802,
        1.03198,
        1.03242,
        1.02345,
        1.02077,
        1.01977,
        1.01847,
        1.00392,
        1.01435,
        1.02847,
        1.02088,
        1.04451,
        1.05558,
        1.04102,
        1.02106,
        0.998775,
        0.981239,
        0.99153,
        1.01887,
        1.02817,
        0.996496,
        0.992056,
        0.93848,
        0.953133,
        0.949096,
        0.940963,
        0.937379,
        0.955826,
        0.95115,
        0.978887,
        1.0604,
        1.06715,
        1.05469,
        1.03402,
        1.03876,
        1.03941,
        1.04588,
        1.06571,
        1.04452,
        1.03632,
        1.03971,
        1.01943,
        1.01453,
        1.01423,
        1.00869,
        1.01556,
        1.01856,
        1.01456,
        1.0071,
        0.997191,
        0.989706,
        0.998426,
        0.988912,
        0.981416,
        0.985722,
        0.985611,
        0.988537,
        0.989583,
        0.961496,
        0.957324,
        0.963663,
        0.972942,
        0.981115,
        0.973678,
        0.950264,
        0.932989,
        0.940543,
        0.956716,
        0.960122,
        0.964193,
        0.904408,
        0.875892,
        0.889643,
        0.922362,
        0.951465,
        0.953536,
        0.951097,
        0.971162,
        1.01623,
        1.01389,
        0.98288,
        0.944516,
        0.944129,
        0.957539,
        0.968828,
        0.97109,
        0.966575,
        0.959442,
        0.954447,
        0.972974,
        0.967565,
        0.957292,
        0.955028,
        0.946486,
        0.952022,
        0.969075,
        0.949203,
        0.964169,
        0.980648,
        0.952701,
        0.955185,
        0.965061,
        0.976539,
        0.949523,
        0.933827,
        0.93268,
        0.96133,
        0.959061,
        0.947738,
        0.935531,
        0.940108,
        0.944803,
        0.94641,
        0.931241,
        0.92995,
        0.935502,
        0.944353,
        0.943265,
        0.934527,
        0.919496,
        0.912974,
        0.927147,
        0.939044,
        0.910977,
        0.919237,
        0.925789,
        0.920027,
        0.921211,
        0.928053,
        0.935178,
        0.926412,
        0.925189,
        0.922662,
        0.913762,
        0.915982,
        0.917801,
        0.917381,
        0.907945,
        0.908878,
        0.916542,
        0.930462,
        0.939172,
        0.937695,
        0.927265,
        0.927088,
        0.92965,
        0.926857,
        0.904648,
        0.911756,
        0.915613,
        0.908122,
        0.903205,
        0.908507,
        0.915782,
        0.903744,
        0.89959,
        0.904536,
        0.921274,
        0.90757,
        0.895928,
        0.890023,
        0.902931,
        0.905642,
        0.900775,
        0.887783,
        0.893888,
        0.901253,
        0.90638,
        0.895947,
        0.89298,
        0.894185,
        0.896198,
        0.895744,
        0.896204,
        0.898657,
        0.905162,
        0.898172,
        0.886089,
        0.89188,
        0.89564,
        0.900346,
        0.907459,
        0.894826,
        0.884603,
        0.878563,
        0.882861,
        0.896741,
        0.906984,
        0.901779,
        0.900243,
        0.901479,
        0.904335,
        0.897468,
        0.894122,
        0.890012,
        0.878523,
        0.893483,
        0.902494,
        0.897085,
        0.895394,
        0.90518,
        0.918426,
        0.914635,
        0.900445,
        0.896887,
        0.914248,
        0.909733,
        0.90951,
        0.910813,
        0.900378,
        0.911748,
        0.925879,
        0.930073,
        null,
        0.951341,
        0.934929,
        0.93912,
        0.961505,
        0.963123,
        0.967894,
        0.986825,
        1.03947,
        1.02739,
        1.01275,
        1.00952,
        1.05347,
        1.05504,
        1.05028,
        1.10518,
        null,
        1.06838,
        0.983095,
        0.974968,
        0.990312,
        1.00671,
        1.01224,
        1.0148,
        1.01623,
        1.01717,
        0.997856,
        0.979714,
        0.96976,
        1.00011,
        1.00406,
        0.997529,
        0.988459,
        0.982525,
        0.981949,
        0.984854,
        0.972341,
        0.972377,
        0.975524,
        0.972176,
        0.973352,
        0.97538,
        0.977425,
        0.975228,
        0.972384,
        0.970814,
        0.974093,
        0.992826,
        0.997297,
        0.978731,
        0.972822,
        0.980651,
        0.992587,
        0.983991,
        0.981224,
        0.965857,
        0.928299,
        0.916408,
        0.923096,
        0.942707,
        0.956928,
        0.971443,
        0.977467,
        0.967506,
        0.952387,
        0.954932,
        0.971573,
        0.97165,
        0.970358,
        0.966352,
        0.957495,
        0.953872,
        0.951447,
        0.950186,
        0.954817,
        0.954675,
        0.953009,
        0.95313,
        0.954119,
        0.949255,
        0.938236,
        0.955062,
        0.94921,
        0.932647,
        0.921547,
        0.918533,
        0.922236,
        0.933093,
        0.940765,
        0.941775,
        0.935902,
        0.919379,
        0.928927,
        0.947198,
        0.967953,
        0.921025,
        0.919277,
        0.930749,
        0.932934,
        0.925479,
        0.912302,
        0.918029,
        0.93125,
        0.944327,
        0.944305,
        0.944841,
        0.948259,
        0.962029,
        0.967365,
        0.964511,
        0.950996,
        0.935268,
        0.932469,
        0.944927,
        0.945345,
        0.944912,
        0.94459,
        0.946032,
        0.93295,
        0.933337,
        0.955658,
        0.964381,
        0.967749,
        0.968344,
        0.971162,
        0.959042,
        0.956899,
        0.97515,
        0.958631,
        0.954744,
        0.960154,
        0.964562,
        0.975624,
        0.974087,
        0.946895,
        0.960912,
        0.970867,
        0.975324,
        0.978245,
        0.976898,
        0.972629,
        0.965446,
        0.968917,
        0.977454,
        0.989573,
        1.00035,
        0.992564,
        0.989064,
        1.01476,
        0.993911,
        0.974527,
        0.964878,
        0.988774,
        0.995865,
        0.994871,
        0.994443,
        0.985027,
        0.982389,
        0.989919,
        0.998358,
        1.00135,
        0.999917,
        0.993735,
        0.985889,
        0.991707,
        1.01644,
        1.013,
        1.00201,
        0.989497,
        0.98993,
        0.989737,
        0.996345,
        1.01355,
        1.01288,
        1.01652,
        1.02148,
        1.01726,
        1.0123,
        1.01208,
        1.02077,
        1.01952,
        1.01228,
        0.999396,
        0.979044,
        1.00211,
        1.01744,
        0.988784,
        0.991211,
        0.999963,
        1.0115,
        1.01557,
        1.02498,
        1.02746,
        1.00935,
        1.01884,
        1.01825,
        1.00657,
        1.01265,
        1.02062,
        1.02583,
        1.02138,
        1.02478,
        1.01547,
        0.992721,
        1.00599,
        1.02371,
        1.03128,
        1.00224,
        1.00943,
        1.01931,
        1.02525,
        1.04789,
        1.07763,
        1.09897,
        1.07611,
        1.08864,
        1.09505,
        1.08213,
        1.05777,
        1.07913,
        1.11327,
        1.0833,
        1.0257,
        0.9775,
        0.954051,
        0.950034,
        0.939687,
        0.920869,
        0.885696,
        0.912699,
        0.953813,
        0.987772,
        0.999882,
        1.01683,
        1.03761,
        1.05423,
        null,
        1.14901,
        1.08542,
        1.08632,
        1.15944,
        1.13264,
        1.08962,
        1.06137,
        1.09811,
        1.06432,
        1.04287,
        1.04883,
        1.03755,
        1.02684,
        1.02743,
        1.06158,
        1.0443,
        1.03521,
        1.04698,
        1.02415,
        0.994708,
        0.974964,
        0.999614,
        1.00102,
        0.998069,
        0.995576,
        1.00376,
        1.00544,
        1.003,
        0.999928,
        0.986521,
        0.96222,
        0.925858,
        0.961893,
        0.970942,
        0.966607,
        0.977426,
        0.973792,
        0.965478,
        0.95524,
        0.94138,
        0.939019,
        0.946099,
        0.960013,
        0.974385,
        0.976123,
        0.957257,
        0.941537,
        0.942068,
        0.952731,
        0.956357,
        0.950622,
        0.950429,
        0.9638,
        0.964821,
        0.96125,
        0.954497,
        0.948396,
        0.942712,
        0.944003,
        0.957366,
        0.954032,
        0.952935,
        0.951296,
        0.935781,
        0.935971,
        0.943161,
        0.953801,
        0.956466,
        0.96104,
        0.965941,
        0.961945,
        0.943509,
        0.927057,
        0.923365,
        0.928065,
        0.92848,
        0.927445,
        0.94392,
        0.943383,
        0.936754,
        0.930366,
        0.917334,
        0.917448,
        0.929275,
        0.940464,
        0.941601,
        0.94157,
        0.946694,
        0.936381,
        0.93584,
        0.94279,
        0.929112,
        0.928166,
        0.932114,
        0.935991,
        0.919001,
        0.92197,
        0.943733,
        0.95326,
        0.952468,
        0.941912,
        0.918687,
        0.923925,
        0.926735,
        0.924243,
        0.922078,
        0.922007,
        0.925456,
        0.934897,
        0.939952,
        0.933249,
        0.92028,
        0.951064,
        0.954185,
        0.942077,
        0.921595,
        0.907016,
        0.893375,
        0.882398,
        0.896637,
        0.885625,
        0.87492,
        0.8936,
        0.865708,
        0.868841,
        0.906601,
        0.895582,
        0.899484,
        0.910916,
        0.923856,
        0.933603,
        0.92853,
        0.910423,
        0.916681,
        0.926158,
        0.928928,
        0.910745,
        0.910076,
        0.9112,
        0.912597,
        0.922662,
        0.922406,
        0.916324,
        0.907827,
        0.899069,
        0.898101,
        0.905308,
        0.909706,
        0.913734,
        0.915251,
        0.910464,
        0.905077,
        0.898324,
        0.892672,
        0.924236,
        0.92499,
        0.913467,
        0.910439,
        0.90811,
        0.909959,
        0.915836,
        0.911874,
        0.913764,
        0.918373,
        0.922224,
        0.905331,
        0.899166,
        0.908601,
        0.90884,
        0.904536,
        0.901699,
        0.909601,
        0.951164,
        0.926406,
        0.919838,
        0.920015,
        0.924153,
        0.921556,
        0.933264,
        0.941765,
        0.922085,
        0.934415,
        0.946207,
        0.951509,
        0.951544,
        0.942788,
        0.936709,
        0.949979,
        0.953426,
        0.950781,
        0.943365,
        0.941817,
        0.951548,
        0.958755,
        0.943066,
        0.938081,
        0.943253,
        0.957975,
        0.967471,
        0.963641,
        0.953356,
        0.944125,
        0.947996,
        0.949192,
        0.94609,
        0.956008,
        0.954296,
        0.95109,
        0.958927,
        0.943087,
        0.937053,
        0.94469,
        0.938101,
        0.933906,
        0.931466,
        0.93065,
        0.929683,
        0.938607,
        0.956898,
        0.951159,
        0.948509,
        0.947942,
        0.948783,
        0.954642,
        0.951469,
        0.938829,
        0.938217,
        0.937306,
        0.935293,
        0.930837,
        0.920177,
        0.919987,
        0.932125,
        0.945662,
        0.939562,
        0.927635,
        0.923112,
        0.929083,
        0.934886,
        0.938138,
        0.930839,
        0.923783,
        0.916324,
        0.907586,
        0.920965,
        0.933354,
        0.940376,
        0.934149,
        0.931031,
        0.928492,
        0.924188,
        0.924319,
        0.930124,
        0.939784,
        0.937987,
        0.933494,
        0.935837,
        0.938973,
        0.938487,
        0.948329,
        0.949723,
        0.94272,
        0.934676,
        0.934191,
        0.93509,
        0.933428,
        0.941664,
        0.94204,
        0.934642,
        0.924083,
        0.916691,
        0.926796,
        0.967283,
        0.933403,
        0.919826,
        0.927816,
        0.944591,
        0.951063,
        0.950625,
        0.94381,
        0.945022,
        0.941185,
        0.934644,
        0.936467,
        0.949995,
        0.955737,
        0.942306,
        0.936551,
        0.949834,
        0.971452,
        0.964016,
        0.965002,
        0.962121,
        0.949087,
        0.941571,
        0.947052,
        0.959013,
        0.957917,
        0.969663,
        0.973842,
        0.960948,
        0.969557,
        0.97099,
        0.965803,
        0.954199,
        0.948603,
        0.954984,
        0.976887,
        0.971766,
        0.983109,
        0.994606,
        0.9677,
        0.96227,
        0.965194,
        0.972251,
        0.96423,
        0.953832,
        0.945446,
        0.949085,
        0.96209,
        0.970345,
        0.970739,
        1.00252,
        1.00529,
        0.988123,
        0.96183,
        0.934752,
        0.927664,
        0.945431,
        0.94988,
        0.954993,
        0.956299,
        0.945226,
        0.952276,
        0.954729,
        0.948049,
        0.943372,
        0.946618,
        0.948832,
        0.937077,
        0.951102,
        0.956535,
        0.949445,
        0.953208,
        0.951063,
        0.953138,
        0.972205,
        0.964001,
        0.962993,
        0.971577,
        0.962308,
        0.960379,
        0.966969,
        0.985952,
        0.988555,
        0.976415,
        0.956815,
        0.977286,
        null,
        0.935028,
        0.930704,
        0.92638,
        0.922057,
        0.917734,
        0.913074,
        0.91038,
        0.911944,
        0.920066,
        0.932613,
        0.942577,
        0.923187,
        0.908279,
        0.904903,
        0.917522,
        0.921502,
        0.921061,
        0.922418,
        0.936795,
        0.9394,
        0.937653,
        0.935004,
        0.952226,
        0.945898,
        0.941009,
        0.958722,
        0.948958,
        0.946618,
        0.951527,
        0.956541,
        0.963536,
        0.969927,
        0.97455,
        0.982238,
        0.984928,
        0.981631,
        1.0028,
        0.973897,
        0.953238,
        0.940945,
        0.929084,
        0.945385,
        0.954475,
        0.944393,
        0.933909,
        0.932046,
        0.928437,
        0.908585,
        0.921828,
        0.938913,
        0.951937,
        0.935162,
        0.945817,
        0.956542,
        0.950244,
        0.936696,
        0.935315,
        0.939054,
        0.929252,
        0.936264,
        0.946788,
        0.956087,
        0.941967,
        0.945391,
        0.95362,
        0.952591,
        0.95485,
        0.957165,
        0.959311,
        0.961706,
        0.952927,
        0.941811,
        0.932463,
        0.92972,
        0.935787,
        0.941647,
        0.928793,
        0.922003,
        0.917032,
        0.914918,
        0.933385,
        0.925071,
        0.915657,
        0.926279,
        0.924284,
        0.927008,
        0.932676,
        0.931906,
        0.925661,
        0.921651,
        0.922276,
        0.910694,
        0.915804,
        0.929709,
        0.943104,
        0.92246,
        0.902069,
        0.888038,
        0.887158,
        0.892354,
        0.90126,
        0.913123,
        0.914325,
        0.912667,
        0.906458,
        0.890173,
        0.894603,
        0.90491,
        0.915258,
        0.902598,
        0.895734,
        0.887693,
        0.871374,
        0.879611,
        0.880368,
        0.877831,
        0.896394,
        0.889248,
        0.88609,
        0.898368,
        0.892066,
        0.895531,
        0.902063,
        0.902312,
        0.890856,
        0.886141,
        0.889605,
        0.893081,
        0.900722,
        0.905226,
        0.90136,
        0.906501,
        0.906472,
        0.906832,
        0.921754,
        0.926697,
        0.926509,
        0.922052,
        0.910267,
        0.907299,
        0.904363,
        0.893326,
        0.899207,
        0.906097,
        0.911807,
        0.912908,
        0.925685,
        0.933207,
        0.929587,
        0.939539,
        0.93555,
        0.926568,
        0.92399,
        0.917369,
        0.923774,
        0.939129,
        0.929576,
        0.931742,
        0.935085,
        0.934193,
        0.943819,
        0.944943,
        0.943396,
        0.950348,
        0.942915,
        0.936202,
        0.932566,
        0.925262,
        0.922654,
        0.921106,
        0.917953,
        0.934695,
        0.9431,
        0.943145,
        0.935349,
        0.921418,
        0.915344,
        0.921135,
        0.935219,
        0.94123,
        0.942076,
        0.939806,
        0.928529,
        0.917981,
        0.911611,
        0.920386,
        0.935222,
        0.939425,
        0.927053,
        0.939219,
        0.93849,
        0.932339,
        0.930311,
        0.938639,
        0.949409,
        0.960026,
        0.962372,
        0.949162,
        0.94428,
        0.960751,
        0.94051,
        0.919404,
        0.899288,
        0.883842,
        0.862474,
        0.840427,
        0.822145,
        0.831631,
        0.828312,
        0.833301,
        0.862103,
        0.890776,
        0.909583,
        0.918841,
        0.917711,
        0.938997,
        0.954432,
        0.945899,
        0.955864,
        0.944254,
        0.930019,
        0.936206,
        0.941001,
        0.939459,
        0.935767,
        0.948915,
        0.946654,
        0.937726,
        0.925864,
        0.930576,
        0.918698,
        0.910092,
        0.9354,
        0.935416,
        0.931704,
        0.928162,
        0.929303,
        0.936483,
        0.943686,
        0.947893,
        0.945075,
        0.942458,
        0.943072,
        0.952504,
        0.951221,
        0.956788,
        0.968664,
        0.968396,
        0.960181,
        0.952617,
        0.950885,
        0.942977,
        0.942451,
        0.945669,
        0.946076,
        0.942828,
        0.945609,
        0.953408,
        0.945826,
        0.945246,
        0.947225,
        0.949248,
        0.939469,
        0.943321,
        0.952523,
        0.949866,
        0.950299,
        0.948709,
        0.945001,
        0.94687,
        0.944924,
        0.940174,
        0.932917,
        0.941627,
        0.932178,
        0.916542,
        0.922504,
        0.91894,
        0.919233,
        0.922864,
        0.906037,
        0.905559,
        0.904601,
        0.891894,
        0.888297,
        0.886595,
        0.886547,
        0.88826,
        0.903824,
        0.9101,
        0.904118,
        0.903851,
        0.902135,
        0.904082,
        0.913984,
        0.904377,
        0.897972,
        0.894227,
        0.890818,
        0.889949,
        0.887177,
        0.881959,
        0.878007,
        0.887001,
        0.898051,
        0.903916,
        0.881832,
        0.872918,
        0.87633,
        0.890519,
        0.887124,
        0.879391,
        0.892213,
        0.885906,
        0.883305,
        0.888914,
        0.900339,
        0.895443,
        0.887143,
        0.88327,
        0.896423,
        0.893875,
        0.886105,
        0.895253,
        0.895167,
        0.889673,
        0.881094,
        0.880376,
        0.884578,
        0.890577,
        0.896709,
        0.901631,
        0.902814,
        0.902229,
        0.903093,
        0.897581,
        0.889071,
        0.882079,
        0.899238,
        0.902243,
        0.895572,
        0.880615,
        0.892575,
        0.896796,
        0.899616,
        0.911437,
        0.914217,
        0.906713,
        0.893487,
        0.89943,
        0.892807,
        0.884129,
        0.878746,
        0.888271,
        0.896793,
        0.900304,
        0.891741,
        0.892898,
        0.8944,
        0.895506,
        0.898613,
        0.891866,
        0.892264,
        0.906235,
        0.900912,
        0.897711,
        0.897914,
        0.903619,
        0.908297,
        0.910135,
        0.911343,
        0.920789,
        0.907869,
        0.901461,
        0.911845,
        0.925197,
        0.916271,
        0.899057,
        0.887184,
        0.88668,
        0.879523,
        0.872861,
        0.892177,
        0.884952,
        0.880521,
        0.886745,
        0.892461,
        0.890612,
        0.892365,
        0.90795,
        0.902836,
        0.90253,
        0.90649,
        0.911916,
        0.903085,
        0.899474,
        0.903917,
        0.903171,
        0.900192,
        0.893982,
        0.883456,
        0.906114,
        0.907192,
        0.893761,
        0.878258,
        0.888832,
        0.89709,
        0.899448,
        0.905182,
        0.898882,
        0.889028,
        0.880183,
        0.881991,
        0.887718,
        0.894079,
        0.896358,
        0.908286,
        0.906928,
        0.896757,
        0.907589,
        0.893089,
        0.888629,
        0.906429,
        0.888443,
        0.890504,
        0.894879,
        0.882709,
        0.887442,
        0.888426,
        0.8894,
        0.906555,
        0.916577,
        0.913529,
        0.897715,
        0.903081,
        0.909843,
        0.914538,
        0.914141,
        0.909434,
        0.903298,
        0.901543,
        0.917848,
        0.923862,
        0.917578,
        0.902075,
        0.901329,
        0.908926,
        0.917321,
        0.922106,
        0.909673,
        0.916452,
        0.930951,
        0.936712,
        0.92828,
        0.924007,
        0.923722,
        0.915675,
        0.922572,
        0.927948,
        0.92498,
        0.918136,
        0.919599,
        0.92126,
        0.914459,
        0.904435,
        0.910069,
        0.922043,
        0.90999,
        0.92371,
        0.929626,
        0.922362,
        0.949704,
        0.947865,
        0.937416,
        0.932154,
        0.932825,
        0.930369,
        0.931752,
        0.952176,
        0.95109,
        0.949193,
        0.948225,
        0.938289,
        0.955212,
        0.968834,
        0.964541,
        0.959419,
        0.956483,
        0.954565,
        0.952171,
        0.947841,
        0.94702,
        0.94962,
        0.954248,
        0.942715,
        0.938098,
        0.945859,
        0.932275,
        0.935008,
        0.937593,
        0.926681,
        0.930343,
        0.92701,
        0.924627,
        0.942945,
        0.941979,
        0.938267,
        0.933881,
        0.922362,
        0.919504,
        0.916935,
        0.910829,
        0.930304,
        0.931813,
        0.927077,
        0.931721,
        0.92378,
        0.918087,
        0.91445,
        0.90654,
        0.916752,
        null,
        0.91702,
        0.916962,
        0.911906,
        0.91139,
        0.9205,
        0.923799,
        0.925638,
        0.922119,
        0.907666,
        0.911189,
        0.908653,
        0.902645,
        0.909608,
        0.908886,
        0.9095,
        0.913098,
        0.90937,
        0.914346,
        0.919315,
        0.918437,
        0.917653,
        0.908481,
        0.902168,
        0.916715,
        0.912645,
        0.917782,
        0.928988,
        0.91539,
        0.914302,
        0.912869,
        0.906876,
        0.906574,
        0.910192,
        0.909464,
        0.89674,
        0.917771,
        0.925292,
        0.920777,
        0.908057,
        0.90779,
        0.916625,
        0.928062,
        0.915216,
        0.909354,
        0.91098,
        0.91941,
        0.912521,
        0.912722,
        0.915671,
        0.917021,
        0.910783,
        0.907507,
        0.908111,
        0.913839,
        0.916267,
        0.916674,
        0.915398,
        0.912961,
        0.919071,
        0.918246,
        0.903767,
        0.915618,
        0.912607,
        0.9092,
        0.921504,
        0.923718,
        0.921207,
        0.913771,
        0.917004,
        0.924825,
        0.919693,
        0.921391,
        0.913336,
        0.899387,
        0.927452,
        0.937921,
        0.935655,
        0.922942,
        0.92651,
        0.926238,
        0.927604,
        0.937234,
        0.939795,
        0.939817,
        0.93846,
        0.937694,
        0.927049,
        0.922801,
        0.926707,
        0.925906,
        0.923345,
        0.92156,
        0.921955,
        0.925328,
        0.924954,
        0.928909,
        0.947443,
        0.948965,
        0.951539,
        0.954489,
        0.952538,
        0.943401,
        0.946248,
        0.960318,
        0.950234,
        0.947435,
        0.943425,
        0.934559,
        0.957498,
        0.955716,
        0.94421,
        0.939676,
        0.939306,
        0.940806,
        0.941521,
        0.934609,
        0.928949,
        0.927392,
        0.929478,
        0.930291,
        0.933548,
        0.936615,
        0.938596,
        0.944677,
        0.9378,
        0.92945,
        0.930765,
        0.930109,
        0.926129,
        0.924799,
        0.940007,
        0.947594,
        0.964166,
        0.990006,
        1.01011,
        0.972446,
        0.937623,
        0.932746,
        0.949115,
        0.954021,
        0.951917,
        0.94553,
        0.950127,
        0.953901,
        0.961741,
        0.983797,
        0.965956,
        0.949585,
        0.944706,
        0.96882,
        0.963206,
        0.952821,
        0.945919,
        0.934724,
        0.927911,
        0.916976,
        0.895959,
        0.858803,
        0.835733,
        0.827104,
        0.835529,
        0.846393,
        0.864725,
        0.890226,
        0.920844,
        0.941979,
        0.955712,
        0.964349,
        0.979482,
        0.981402,
        0.97575,
        0.965291,
        0.964822,
        0.976363,
        0.992126,
        1.00306,
        0.999835,
        1.00197,
        1.00559,
        0.998173,
        0.990178,
        0.98991,
        0.994513,
        0.98024,
        0.972085,
        0.970656,
        0.97606,
        0.976168,
        0.974189,
        0.969765,
        0.962305,
        0.965943,
        0.970609,
        0.97697,
        0.986974,
        0.976946,
        0.974902,
        0.981301,
        0.983759,
        0.96595,
        0.961083,
        0.9755,
        0.973466,
        0.95623,
        0.945873,
        0.957499,
        0.956959,
        0.961103,
        0.968804,
        0.979223,
        0.964222,
        0.962193,
        0.969338,
        0.968804,
        0.958487,
        0.962045,
        0.9779,
        0.974654,
        0.983149,
        0.988189,
        0.983187,
        0.976381,
        0.978703,
        0.987252,
        1.00047,
        0.9824,
        0.981523,
        0.986544,
        0.976515,
        0.98915,
        0.998789,
        1.00085,
        0.988327,
        0.995659,
        1.02193,
        1.05768,
        1.02389,
        1.01579,
        1.02074,
        1.03445,
        1.10652,
        1.11256,
        null,
        0.970588,
        1.0252,
        1.01674,
        1.02048,
        1.03937,
        1.02256,
        1.05308,
        1.06898,
        1.04508,
        0.999472,
        0.985063,
        0.991679,
        1.01401,
        1.00849,
        1.04619,
        1.0464,
        1.01379,
        0.957331,
        0.91876,
        0.924023,
        0.933816,
        0.934507,
        0.936709,
        0.958656,
        0.977981,
        0.979178,
        0.947538,
        0.939648,
        0.936774,
        0.915763,
        0.925187,
        0.934113,
        0.940167,
        0.942406,
        0.945755,
        0.960105,
        0.972137,
        0.918436,
        0.912012,
        0.9147,
        0.914559,
        0.915668,
        0.926325,
        0.933468,
        0.929578,
        0.912834,
        0.911079,
        0.913816,
        0.911346,
        0.921538,
        0.926453,
        0.919182,
        0.886396,
        0.884777,
        0.898425,
        0.918228,
        0.922726,
        0.925441,
        0.931232,
        0.939811,
        0.941629,
        0.93369,
        0.929904,
        0.935173,
        0.924236,
        0.924628,
        0.92777,
        0.927457,
        0.908166,
        0.906378,
        0.914758,
        0.924279,
        0.921296,
        0.921824,
        0.925936,
        0.931045,
        0.926998,
        0.923424,
        0.921088,
        0.916146,
        0.922726,
        0.925195,
        0.921043,
        0.931483,
        0.947172,
        0.949609,
        0.928485,
        0.92067,
        0.929207,
        0.93954,
        0.938215,
        0.963417,
        0.963884,
        0.953834,
        0.95894,
        0.946419,
        0.939484,
        0.940281,
        0.949396,
        0.950274,
        0.955764,
        0.96372,
        0.948745,
        0.955692,
        0.964085,
        0.9665,
        0.96605,
        0.959931,
        0.95507,
        0.955976,
        0.956279,
        0.959772,
        0.95882,
        0.944945,
        0.952533,
        0.961432,
        0.968265,
        0.968368,
        0.975215,
        0.982926,
        0.98457,
        0.960657,
        0.954923,
        0.959649,
        0.969753,
        0.967598,
        0.962784,
        0.954833,
        0.944349,
        0.942698,
        0.942033,
        0.939291,
        0.93232,
        0.922534,
        0.935152,
        0.951975,
        0.953549,
        0.934465,
        0.926045,
        0.92628,
        0.930328,
        0.946839,
        0.948316,
        0.935159,
        0.918809,
        0.927989,
        0.933389,
        0.930595,
        0.93292,
        0.911808,
        0.903977,
        0.921559,
        0.935879,
        0.933709,
        0.926004,
        0.919133,
        0.908378,
        0.920594,
        0.933727,
        0.925806,
        0.942205,
        0.943937,
        0.936382,
        0.929152,
        0.92775,
        0.919282,
        0.910215,
        0.920359,
        0.925884,
        0.916943,
        0.899662,
        0.907895,
        0.908382,
        0.909337,
        0.912559,
        0.911462,
        0.916473,
        0.920228,
        0.918978,
        0.915385,
        0.918367,
        0.920267,
        0.914744,
        0.924948,
        0.933623,
        0.938249,
        0.935171,
        0.920233,
        0.923557,
        0.93369,
        0.922608,
        0.927014,
        0.941892,
        0.951882,
        0.906041,
        0.913017,
        0.92522,
        0.931597,
        0.93266,
        0.933034,
        0.934017,
        0.936213,
        0.940271,
        0.942725,
        0.937161,
        0.920451,
        0.936587,
        0.941563,
        0.937078,
        0.92391,
        0.934632,
        0.944161,
        0.948804,
        0.943786,
        0.947877,
        0.950152,
        0.952017,
        0.958634,
        0.948233,
        0.93103,
        0.917471,
        0.940673,
        0.941532,
        0.947297,
        0.960062,
        0.95157,
        0.944858,
        0.939915,
        0.949633,
        0.943776,
        0.932416,
        0.941208,
        0.943266,
        0.934477,
        0.923958,
        0.944913,
        0.939559,
        0.933782,
        0.934024,
        0.94075,
        0.931574,
        0.926594,
        0.93164,
        0.926627,
        0.871169,
        0.853722,
        0.922158,
        0.918955,
        0.919105,
        0.919503,
        0.917573,
        0.9125,
        0.912298,
        0.912908,
        0.90934,
        0.914326,
        0.911434,
        0.908112,
        0.920701,
        0.921804,
        0.91498,
        0.906092,
        0.910256,
        0.907282,
        0.906709,
        0.909465,
        0.912088,
        0.911242,
        0.913921,
        0.919794,
        0.913286,
        0.901633,
        0.893164,
        0.892462,
        0.904679,
        0.905873,
        0.908033,
        0.91845,
        0.912687,
        0.915172,
        0.9141,
        0.897814,
        0.908665,
        0.912227,
        0.904831,
        0.880725,
        0.901201,
        0.917036,
        0.917827,
        0.886822,
        0.905388,
        0.918318,
        0.920527,
        0.915324,
        0.922471,
        0.918716,
        0.906169,
        0.913038,
        0.924772,
        0.926158,
        0.915583,
        0.913294,
        0.914492,
        0.916946,
        0.918095,
        0.897817,
        0.938401,
        0.945059,
        0.938425,
        0.926278,
        0.933498,
        0.937657,
        0.937187,
        0.952534,
        0.942241,
        0.93594,
        0.942044,
        0.946309,
        0.936008,
        0.933165,
        0.946181,
        0.940002,
        0.943039,
        0.944452,
        0.937388,
        0.937739,
        0.948222,
        0.953525,
        0.940182,
        0.951564,
        0.952804,
        0.955044,
        0.972155,
        0.962297,
        0.957987,
        0.958364,
        0.959697,
        0.970499,
        0.975458,
        0.971938,
        0.95702,
        0.959916,
        0.974143,
        0.992614,
        0.997592,
        0.989328,
        0.980338,
        0.977681,
        0.998613,
        1.00051,
        0.99057,
        0.973868,
        0.972224,
        0.96691,
        0.962743,
        0.961655,
        0.962946,
        0.961726,
        0.968354,
        0.988753,
        1.01784,
        1.01741,
        1.01122,
        1.01609,
        0.990279,
        0.991833,
        1.00653,
        1.02129,
        1.03212,
        1.05225,
        1.06236,
        1.03531,
        1.00448,
        0.996195,
        1.01839,
        1.08731,
        null,
        null,
        0.964889,
        0.963082,
        0.963461,
        0.976076,
        1.01191,
        0.95936,
        0.967402,
        0.982822,
        0.961546,
        0.950599,
        0.975904,
        1.00859,
        1.04061,
        null,
        1.07245,
        1.14668,
        1.13469,
        1.15954,
        1.15205,
        1.09173,
        1.02899,
        0.969601,
        0.980867,
        0.992371,
        1.00426,
        1.06852,
        1.07725,
        1.04583,
        1.02239,
        1.02973,
        0.997097,
        0.983814,
        1.00072,
        1.03345,
        0.988587,
        0.965522,
        0.964319,
        0.981871,
        1.00882,
        1.00598,
        1.01678,
        1.02357,
        0.979314,
        1.01302,
        1.01487,
        1.00048,
        0.999865,
        1.01771,
        1.01304,
        1.00417,
        1.00736,
        1.02111,
        1.01934,
        1.01392,
        1.01202,
        1.02103,
        1.03979,
        1.04546,
        1.03536,
        1.02437,
        0.998835,
        1.00315,
        1.01342,
        0.958241,
        0.980836,
        1.00689,
        1.01692,
        0.992952,
        1.06614,
        1.08949,
        1.06787,
        1.01321,
        0.998195,
        0.990669,
        0.988794,
        0.990827,
        0.991868,
        1.04241,
        null,
        1.09251,
        1.07581,
        1.0726,
        1.04208,
        0.986915,
        0.931515,
        0.916901,
        0.991746,
        0.978578,
        0.939582,
        0.955165,
        0.99332,
        0.984428,
        0.940553,
        0.907658,
        0.925761,
        0.914576,
        0.912703,
        0.914742,
        0.913174,
        0.932361,
        0.923117,
        0.915359,
        0.92828,
        0.92821,
        0.901859,
        0.901895,
        0.941698,
        0.95404,
        0.9267,
        0.905672,
        0.899736,
        0.9015,
        0.890857,
        0.90146,
        0.920988,
        0.917663,
        0.929749,
        0.9213,
        0.913423,
        0.931701,
        0.920182,
        0.901182,
        0.897387,
        0.919425,
        0.911946,
        0.884612,
        0.889089,
        0.930869,
        0.909014,
        0.90837,
        0.902072,
        0.892986,
        0.909618,
        0.91428,
        0.922472,
        0.92537,
        0.903803,
        0.921196,
        0.915025,
        0.898134,
        0.890514,
        0.920884,
        0.923709,
        0.916266,
        0.910334,
        0.908597,
        0.926564,
        0.934661,
        0.924789,
        0.921349,
        0.923661,
        0.919424,
        0.906378,
        0.88696,
        0.894897,
        0.915231,
        0.927183,
        0.89901,
        0.904201,
        0.907626,
        0.910535,
        0.916461,
        0.933852,
        0.918083,
        0.910125,
        0.927458,
        0.895437,
        0.910255,
        0.919839,
        0.910911,
        0.922512,
        0.916554,
        0.914163,
        0.914517,
        0.902575,
        0.88286,
        null,
        0.876181,
        0.853598,
        0.855264,
        0.856459,
        0.858739,
        0.860648,
        0.855962,
        0.869147,
        0.867585,
        0.859728,
        0.874561,
        0.867625,
        0.872295,
        0.883682,
        0.893724,
        0.883041,
        0.88948,
        0.892133,
        0.877078,
        0.876969,
        0.875896,
        0.879458,
        0.884411,
        0.86229,
        0.868675,
        0.883074,
        0.895609,
        0.892549,
        0.885047,
        0.881759,
        0.879553,
        0.871585,
        0.873484,
        0.879857,
        0.883368,
        0.876745,
        0.88439,
        0.87151,
        0.864152,
        0.874086,
        0.860565,
        0.85953,
        0.871898,
        0.890846,
        0.882114,
        0.882049,
        0.882296,
        0.882641,
        0.886813,
        0.877275,
        0.876816,
        0.879938,
        0.874322,
        0.875313,
        0.874856,
        0.87407,
        0.874993,
        0.89613,
        0.880541,
        0.859388,
        0.877637,
        1.10824,
        0.85297,
        0.884379,
        0.877538,
        0.890198,
        0.887642,
        0.897443,
        0.920498,
        0.891062,
        0.88352,
        0.877579,
        0.870101,
        0.868457,
        0.890337,
        0.88963,
        0.878173,
        0.887727,
        0.905193,
        0.905768,
        0.897355,
        0.889724,
        0.891159,
        0.903022,
        0.91146,
        0.908062,
        0.900629,
        0.907672,
        0.914035,
        0.914467,
        0.910483,
        0.913059,
        0.907304,
        0.900783,
        0.919142,
        0.924484,
        0.918901,
        0.911036,
        0.912701,
        0.901476,
        0.903228,
        0.912322,
        0.922279,
        0.926747,
        0.915505,
        0.903445,
        0.900809,
        0.924175,
        0.924619,
        0.917126,
        0.909973,
        0.915409,
        0.926904,
        0.933066,
        0.934801,
        0.937619,
        0.946888,
        0.9364,
        0.919272,
        0.911667,
        0.91714,
        0.927734,
        0.936746,
        0.938214,
        0.921757,
        0.922918,
        0.924101,
        0.920721,
        0.925372,
        0.934479,
        0.9312,
        0.919744,
        0.918899,
        0.926265,
        0.929819,
        0.929971,
        0.929497,
        0.919231,
        0.922532,
        0.925925,
        0.918346,
        0.929065,
        0.930801,
        0.927376,
        0.923355,
        0.932279,
        0.928809,
        0.92981,
        0.934997,
        0.923868,
        0.931395,
        0.932011,
        0.930996,
        0.946036,
        0.943672,
        0.9489,
        0.95351,
        0.94633,
        0.949437,
        0.9471,
        0.941792,
        0.936173,
        0.940144,
        0.913085,
        0.883956,
        0.861883,
        0.835448,
        0.847172,
        0.848318,
        0.84144,
        0.863496,
        0.871164,
        0.887413,
        0.904733,
        0.908435,
        0.934044,
        0.941651,
        0.942661,
        0.948286,
        0.960503,
        0.968961,
        0.974127,
        0.974792,
        0.962302,
        0.954365,
        0.946354,
        0.940156,
        0.946933,
        0.945066,
        0.938064,
        0.929593,
        0.925082,
        0.936754,
        0.940066,
        0.938855,
        0.93926,
        0.93718,
        0.93897,
        0.936888,
        0.928196,
        0.938263,
        0.934231,
        0.934463,
        0.94107,
        0.933913,
        0.943775,
        0.939792,
        0.922081,
        0.908671,
        0.911433,
        0.909432,
        0.907579,
        0.915458,
        0.935147,
        0.926524,
        0.914768,
        0.920014,
        0.936153,
        0.940985,
        0.933968,
        0.919715,
        0.922401,
        0.9349,
        0.938805,
        0.93296,
        0.930052,
        0.934954,
        0.937556,
        0.932974,
        0.915186,
        0.930465,
        0.938557,
        0.938475,
        0.932138,
        0.939123,
        0.932379,
        0.924348,
        0.924434,
        0.942372,
        0.953603,
        0.95131,
        0.937172,
        0.927058,
        0.933163,
        0.92979,
        0.926611,
        0.952346,
        0.940464,
        0.936256,
        0.938564,
        0.940935,
        0.943241,
        0.933811,
        0.926185,
        0.929497,
        0.928747,
        0.931756,
        0.930677,
        0.926158,
        0.937381,
        0.943388,
        0.941404,
        0.931683,
        0.916051,
        0.922678,
        0.917933,
        0.913022,
        0.930097,
        0.920405,
        0.929006,
        0.904449,
        0.906079,
        0.902007,
        0.89821,
        0.917768,
        0.908464,
        0.906517,
        0.907202,
        0.902052,
        0.903955,
        0.902286,
        0.902412,
        0.907975,
        0.916048,
        0.908906,
        0.89997,
        0.896802,
        0.9103,
        0.909866,
        0.910177,
        0.913889,
        0.920284,
        0.909568,
        0.91194,
        0.925695,
        0.944618,
        0.936658,
        0.928295,
        0.925033,
        0.930363,
        0.937174,
        0.93757,
        0.934793,
        0.932673,
        0.942777,
        0.930341,
        0.925591,
        0.930613,
        0.931031,
        0.925596,
        0.923121,
        0.925233,
        0.932927,
        0.929981,
        0.933645,
        0.939513,
        0.942301,
        0.924884,
        0.936325,
        0.942345,
        0.930279,
        0.933322,
        0.935985,
        0.935207,
        0.930816,
        0.925426,
        0.930341,
        0.937343,
        0.943973,
        0.947807,
        0.944498,
        0.941687,
        0.938552,
        0.933749,
        0.918766,
        0.926235,
        0.931989,
        0.925554,
        0.933074,
        0.930702,
        0.928819,
        0.933111,
        0.952077,
        0.943276,
        0.937151,
        0.93642,
        0.936458,
        0.93546,
        0.93564,
        0.936396,
        0.937423,
        0.957468,
        0.961978,
        0.953468,
        0.936986,
        0.941088,
        0.940849,
        0.933581,
        0.923225,
        0.928444,
        0.943216,
        0.950604,
        0.948134,
        0.936769,
        0.94381,
        0.945701,
        0.941411,
        0.931695,
        0.929778,
        0.935741,
        0.942029,
        0.942954,
        0.93402,
        0.932269,
        0.935883,
        0.939711,
        0.926001,
        0.914241,
        0.92269,
        0.938452,
        0.925837,
        0.915335,
        0.909663,
        0.912001,
        0.925336,
        0.921124,
        0.920552,
        0.918228,
        0.912277,
        0.924212,
        0.92087,
        0.919297,
        0.923632,
        0.918438,
        0.905627,
        0.896735,
        0.897775,
        0.917855,
        0.920828,
        0.920835,
        0.921684,
        0.926731,
        0.914728,
        0.914486,
        0.915623,
        0.911108,
        0.919612,
        0.925126,
        0.931657,
        0.937164,
        0.921889,
        0.915698,
        0.921876,
        0.930477,
        0.91441,
        0.911678,
        0.914403,
        0.921372,
        0.93215,
        0.924647,
        0.93108,
        0.930238,
        0.908213,
        0.913971,
        0.928811,
        0.939413,
        0.940827,
        0.941368,
        0.940671,
        0.927406,
        0.906527,
        0.897934,
        0.913128,
        0.917474,
        0.916938,
        0.927289,
        0.936215,
        0.940954,
        0.944173,
        0.94628,
        0.917356,
        0.92127,
        0.923152,
        0.912963,
        0.927935,
        0.935786,
        0.927197,
        0.90874,
        0.906786,
        0.91187,
        0.918767,
        0.927506,
        0.938912,
        0.929599,
        0.929471,
        0.923628,
        0.901327,
        0.924254,
        0.938691,
        0.935066,
        0.914604,
        0.914222,
        0.92561,
        0.931751,
        0.93461,
        0.952592,
        0.933697,
        0.933325,
        0.943488,
        0.941557,
        0.941801,
        0.938865,
        0.929388,
        0.912714,
        0.92704,
        0.91821,
        0.91471,
        0.92619,
        0.923624,
        0.924501,
        0.924435,
        0.918952,
        0.899361,
        0.914632,
        0.918717,
        0.910758,
        0.898042,
        0.926126,
        0.924977,
        0.916635,
        0.902194,
        0.919746,
        0.915583,
        0.910167,
        0.908478,
        0.91417,
        0.916507,
        0.917086,
        0.921994,
        0.929132,
        0.909886,
        0.914323,
        0.925159,
        0.932497,
        0.92188,
        0.916123,
        0.914156,
        0.918272,
        0.931547,
        0.902221,
        0.904213,
        0.918983,
        0.927588,
        0.915794,
        0.916351,
        0.918844,
        0.916681,
        0.902523,
        0.893144,
        0.897921,
        0.909996,
        0.903426,
        0.901635,
        0.895593,
        0.895652,
        0.918039,
        0.910969,
        0.902053,
        0.901151,
        0.913829,
        0.911945,
        0.91919,
        0.917387,
        0.90399,
        0.908117,
        0.898635,
        0.903462,
        0.919387,
        0.921684,
        0.91926,
        0.911173,
        0.902281,
        0.899137,
        0.921214,
        0.923419,
        0.911667,
        0.894816,
        0.916784,
        0.922235,
        0.92322,
        0.921269,
        0.898745,
        0.903294,
        0.916455,
        0.928365,
        0.924993,
        0.914886,
        0.916875,
        0.925455,
        0.931309,
        0.929645,
        0.923179,
        0.918602,
        0.920257,
        0.920299,
        0.931765,
        0.937211,
        0.930033,
        0.928964,
        0.923309,
        0.923353,
        0.953615,
        0.962946,
        0.942358,
        0.922121,
        0.934884,
        0.929433,
        0.944946,
        0.962379,
        0.96814,
        0.950515,
        0.948333,
        0.959157,
        0.973845,
        0.96369,
        0.972381,
        0.978646,
        0.981803,
        0.986794,
        0.977204,
        0.97926,
        0.989801,
        1.00363,
        1.01623,
        1.01155,
        0.996687,
        0.982067,
        1.00538,
        0.978199,
        0.988306,
        1.02476,
        0.971249,
        0.997074,
        1.01069,
        1.02224,
        1.07062,
        1.06987,
        1.04003,
        null,
        1.03441,
        1.09069,
        1.03613,
        1.0037,
        0.981036,
        0.97264,
        0.992474,
        1.01382,
        0.97765,
        1.0091,
        0.998339,
        0.981468,
        1.00434,
        1.03424,
        1.04417,
        1.04673,
        1.04922,
        1.04752,
        1.04297,
        1.03927,
        1.02821,
        0.980461
    ],
    "flux_error": [
        0.00565953,
        0.00653609,
        0.00741265,
        0.00828922,
        0.00890562,
        0.00857408,
        0.00883945,
        0.00941773,
        0.0100993,
        0.010697,
        0.0113067,
        0.012496,
        0.0157837,
        0.0156906,
        0.017471,
        0.0225131,
        0.0214527,
        0.0176097,
        0.0153168,
        0.0108806,
        0.0110043,
        0.00939505,
        0.00909423,
        0.00906273,
        0.00872207,
        0.00864622,
        0.00764578,
        0.00744571,
        0.00805982,
        0.00846539,
        0.00807171,
        0.00700635,
        0.00645649,
        0.00626485,
        0.00680976,
        0.00725759,
        0.00677292,
        0.00545559,
        0.00630384,
        0.00668555,
        0.00587163,
        0.0050917,
        0.0049969,
        0.00554758,
        0.00601939,
        0.00586627,
        0.00641341,
        0.00635783,
        0.00614423,
        0.00663737,
        0.00695208,
        0.00614932,
        0.00585835,
        0.00592579,
        0.00593032,
        0.00579635,
        0.00628124,
        0.00594663,
        0.00581318,
        0.00625034,
        0.00614495,
        0.00525632,
        0.00570611,
        0.00471394,
        0.00527936,
        0.00489209,
        0.00477521,
        0.00546958,
        0.00529568,
        0.00579587,
        0.00584697,
        0.00577066,
        0.00571829,
        0.00571311,
        0.00559277,
        0.00462651,
        0.00528223,
        0.00559584,
        0.00584217,
        0.00586416,
        0.00501994,
        0.00476415,
        0.00498989,
        0.00550296,
        0.00566375,
        0.00539884,
        0.00512226,
        0.00513776,
        0.00497749,
        0.00509434,
        0.00508283,
        0.00516974,
        0.00566897,
        0.00577021,
        0.00525985,
        0.00589043,
        0.00556998,
        0.00477732,
        0.00472625,
        0.00428173,
        0.00566277,
        0.00608971,
        0.00625911,
        0.00633329,
        0.00630273,
        0.00632896,
        0.00595697,
        0.00582454,
        0.00577005,
        0.00533554,
        0.00457505,
        0.0043421,
        0.00454279,
        0.00564673,
        0.00532468,
        0.00495556,
        0.00545721,
        0.00607597,
        0.00568658,
        0.00504167,
        0.00468093,
        0.00489174,
        0.00542702,
        0.00566906,
        0.00529809,
        0.00474903,
        0.00448367,
        0.00458235,
        0.00490465,
        0.00525555,
        0.00568552,
        0.00565727,
        0.00598427,
        0.00592469,
        0.00559413,
        0.00534146,
        0.00479812,
        0.00572668,
        0.00530991,
        0.00510176,
        0.00536465,
        0.00566724,
        0.00548167,
        0.00531849,
        0.0062935,
        0.00631254,
        0.00574001,
        0.00548228,
        0.00594559,
        0.00663136,
        0.0065788,
        0.00626043,
        0.00584494,
        0.00553829,
        0.0055875,
        0.00593097,
        0.00647327,
        0.00612342,
        0.00645698,
        0.00712634,
        0.00646306,
        0.00591173,
        0.00601865,
        0.00609481,
        0.00634575,
        0.00617094,
        0.0051314,
        0.00508371,
        0.00542,
        0.00569297,
        0.00590073,
        0.00588601,
        0.00582102,
        0.00675703,
        0.00548215,
        0.00508927,
        0.00535534,
        0.00589836,
        0.006192,
        0.00580416,
        0.0059192,
        0.0064489,
        0.00670194,
        0.00730115,
        0.00802799,
        0.00775177,
        0.00784668,
        0.00946843,
        0.00996645,
        0.0110932,
        0.0132162,
        0.0128138,
        0.0105432,
        0.00851181,
        0.00765615,
        0.00811552,
        0.00828128,
        0.0068771,
        0.00586504,
        0.00591433,
        0.00617929,
        0.00599714,
        0.00581348,
        0.00672765,
        0.00653374,
        0.00620355,
        0.00624547,
        0.00621944,
        0.00536403,
        0.00559483,
        0.00561115,
        0.00576088,
        0.00589021,
        0.00582622,
        0.00568049,
        0.00645689,
        0.00491321,
        0.00457584,
        0.00479992,
        0.00536687,
        0.00582842,
        0.00452981,
        0.004452,
        0.00503511,
        0.00549605,
        0.00538897,
        0.00484888,
        0.00465437,
        0.00495376,
        0.0052659,
        0.00556462,
        0.00619657,
        0.00636697,
        0.00479435,
        0.00475478,
        0.00543001,
        0.00583916,
        0.00583324,
        0.00553988,
        0.00516769,
        0.00469096,
        0.00486999,
        0.00495875,
        0.00502967,
        0.00469792,
        0.00402211,
        0.00461805,
        0.00410788,
        0.00522304,
        0.00512558,
        0.00428151,
        0.00413737,
        0.00502839,
        0.00500361,
        0.0044996,
        0.00544477,
        0.00592702,
        0.00520195,
        0.00486711,
        0.0057161,
        0.00519164,
        0.00535713,
        0.00578679,
        0.00599673,
        0.00577519,
        0.00518288,
        0.0045946,
        0.00482842,
        0.00473049,
        0.00468369,
        0.00509144,
        0.00474644,
        0.00557319,
        0.00517773,
        0.00611609,
        0.00697432,
        0.00642782,
        0.0055489,
        0.00498003,
        0.00485207,
        0.00472154,
        0.00445245,
        0.00456873,
        0.00562527,
        0.00557053,
        0.00506947,
        0.00486588,
        0.00488039,
        0.00476057,
        0.0043,
        0.00410936,
        0.00491216,
        0.00478198,
        0.00433616,
        0.00432065,
        0.00461583,
        0.00374765,
        0.00418802,
        0.00435396,
        0.00443992,
        0.00465634,
        0.00467355,
        0.00388262,
        0.00440564,
        0.00422387,
        0.004287,
        0.00505398,
        0.00573755,
        0.00515845,
        0.00421979,
        0.00575296,
        0.00512366,
        0.00488634,
        0.00494179,
        0.00455035,
        0.0049399,
        0.00481902,
        0.00469254,
        0.00456678,
        0.00472617,
        0.00505109,
        0.00491289,
        0.00505734,
        0.00463842,
        0.00424408,
        0.00446856,
        0.0050389,
        0.00510063,
        0.00478271,
        0.00466561,
        0.0045995,
        0.00464258,
        0.00478353,
        0.00485328,
        0.00448413,
        0.00455315,
        0.00471816,
        0.00508654,
        0.00466542,
        0.003714,
        0.00429094,
        0.00473193,
        0.00476201,
        0.00531983,
        0.0055524,
        0.00516742,
        0.00481191,
        0.00566437,
        0.0052978,
        0.00512803,
        0.00548681,
        0.00555345,
        0.004791,
        0.00493519,
        0.004993,
        0.0054592,
        0.00528814,
        0.00495699,
        0.00472926,
        0.00398344,
        0.00498466,
        0.00504545,
        0.00500151,
        0.00531728,
        0.00539175,
        0.00444419,
        0.00467148,
        0.00558556,
        0.0051446,
        0.00524887,
        0.00546683,
        0.00502958,
        0.00593153,
        0.00549801,
        0.00566606,
        0.00571493,
        0.00581942,
        0.00580317,
        0.00491016,
        0.00482975,
        0.00502157,
        0.00659651,
        0.00639852,
        0.00462353,
        0.00409747,
        0.00401129,
        0.00429927,
        0.00515532,
        0.00545124,
        0.00536639,
        0.00527525,
        0.00450465,
        0.00415089,
        0.00417035,
        0.00435368,
        0.00453835,
        0.00445835,
        0.00402782,
        0.00516957,
        0.00517147,
        0.0049194,
        0.00491365,
        0.00518131,
        0.00532766,
        0.00473495,
        0.00531912,
        0.00510844,
        0.0050796,
        0.00546966,
        0.0058745,
        0.00552101,
        0.00478197,
        0.00500689,
        0.00519963,
        0.00490528,
        0.00470689,
        0.00547893,
        0.00481273,
        0.00492946,
        0.00523811,
        0.00457929,
        0.00396937,
        0.00487877,
        0.00648098,
        0.00477289,
        0.00483312,
        0.00561384,
        0.00593482,
        0.00553271,
        0.00550709,
        0.00584628,
        0.00485373,
        0.00486772,
        0.00550476,
        0.0058286,
        0.00530017,
        0.00488993,
        0.00641364,
        0.00603213,
        0.00612335,
        0.00636796,
        0.00584189,
        0.0055367,
        0.00574173,
        0.00529998,
        0.00511947,
        0.00577116,
        0.00647829,
        0.00578157,
        0.00582446,
        0.00581236,
        0.00686157,
        0.00701334,
        0.00705086,
        0.00817647,
        0.00785395,
        0.00622245,
        0.00623303,
        0.00673518,
        0.00711155,
        0.00701968,
        0.00636103,
        0.00583668,
        0.0064454,
        0.00668304,
        0.00593029,
        0.00499291,
        0.00515863,
        0.00556961,
        0.00609135,
        0.00578468,
        0.00573647,
        0.00618713,
        0.00659063,
        0.00602362,
        0.00533902,
        0.0068529,
        0.00691432,
        0.00587979,
        0.0050574,
        0.00520693,
        0.00514134,
        0.00568675,
        0.00635015,
        0.00607587,
        0.00561426,
        0.0057455,
        0.00501388,
        0.00480546,
        0.00558956,
        0.00575151,
        0.00579871,
        0.00568373,
        0.00462838,
        0.00583078,
        0.005098,
        0.00542169,
        0.00546361,
        0.00529402,
        0.00554355,
        0.00503195,
        0.00429282,
        0.00503622,
        0.00549502,
        0.00559853,
        0.00572066,
        0.00581315,
        0.00496373,
        0.005268,
        0.00502198,
        0.00514069,
        0.00558382,
        0.00554124,
        0.00504965,
        0.00547281,
        0.00520613,
        0.00514222,
        0.00534363,
        0.00539398,
        0.00494124,
        0.00516168,
        0.00527171,
        0.00590825,
        0.00633448,
        0.00613951,
        0.00559384,
        0.0054231,
        0.00511858,
        0.00561125,
        0.00589368,
        0.00564462,
        0.00508982,
        0.00486482,
        0.00654376,
        0.00585868,
        0.00584184,
        0.00667002,
        0.00709096,
        0.00607561,
        0.00593548,
        0.00619331,
        0.00685913,
        0.00711958,
        0.00727403,
        0.00735786,
        0.00619835,
        0.00665824,
        0.00677403,
        0.00686187,
        0.0077703,
        0.00910993,
        0.0096856,
        0.010687,
        0.0119318,
        0.0131244,
        0.0146386,
        0.0175016,
        0.0232629,
        0.017901,
        0.0137828,
        0.0125863,
        0.0109874,
        0.00913836,
        0.00852438,
        0.00879895,
        0.00870404,
        0.00750042,
        0.00663775,
        0.00724203,
        0.0077556,
        0.00725562,
        0.00647588,
        0.00692833,
        0.00731432,
        0.00753549,
        0.00690111,
        0.00664193,
        0.00664944,
        0.00660955,
        0.00712066,
        0.00698977,
        0.00650803,
        0.00628875,
        0.0162039,
        0.0123733,
        0.0089038,
        0.0082821,
        0.00920847,
        0.00784683,
        0.00655546,
        0.00665865,
        0.00698103,
        0.00528281,
        0.00613307,
        0.0062137,
        0.00649262,
        0.00666644,
        0.00644947,
        0.00654374,
        0.00594417,
        0.00592139,
        0.00585671,
        0.00558676,
        0.00555145,
        0.00607237,
        0.00565809,
        0.00546276,
        0.00538097,
        0.00479694,
        0.00468388,
        0.00533205,
        0.00541027,
        0.00637443,
        0.00524029,
        0.00526293,
        0.0054411,
        0.00556232,
        0.00594704,
        0.0053646,
        0.00522,
        0.00510982,
        0.00574487,
        0.00606856,
        0.00548599,
        0.00492238,
        0.00493671,
        0.00454322,
        0.00534926,
        0.00576544,
        0.00533871,
        0.00474482,
        0.00480217,
        0.00618468,
        0.0056086,
        0.00549117,
        0.005545,
        0.00547251,
        0.0056923,
        0.0052331,
        0.00577304,
        0.00516037,
        0.00476038,
        0.00523838,
        0.00599818,
        0.00543801,
        0.00484721,
        0.00573178,
        0.00537677,
        0.00497962,
        0.00524366,
        0.00544514,
        0.00478206,
        0.00408778,
        0.00502474,
        0.00526263,
        0.00486326,
        0.00461103,
        0.00442754,
        0.00374229,
        0.00448627,
        0.00437673,
        0.00457878,
        0.00529307,
        0.00570753,
        0.00569529,
        0.00543789,
        0.0060783,
        0.0058792,
        0.00529755,
        0.00516072,
        0.00546227,
        0.00466132,
        0.00419634,
        0.00474335,
        0.00523445,
        0.00514943,
        0.00472763,
        0.00473031,
        0.00484232,
        0.00515834,
        0.00491271,
        0.00454049,
        0.00449253,
        0.00473667,
        0.00466121,
        0.0054873,
        0.00584931,
        0.00557349,
        0.00532422,
        0.00543585,
        0.00507547,
        0.00416909,
        0.00489942,
        0.00580997,
        0.00599597,
        0.00560261,
        0.00533712,
        0.00534368,
        0.00507998,
        0.00499089,
        0.00465169,
        0.00435825,
        0.00445777,
        0.00496548,
        0.00581274,
        0.00501243,
        0.00410689,
        0.00467017,
        0.00498751,
        0.0046201,
        0.00504521,
        0.00551317,
        0.00552956,
        0.00577408,
        0.00569476,
        0.00584003,
        0.00579083,
        0.00655543,
        0.00576502,
        0.00566106,
        0.00554321,
        0.00570385,
        0.00623695,
        0.00643167,
        0.00597883,
        0.00620031,
        0.00584895,
        0.00643237,
        0.00717887,
        0.00756724,
        0.0076917,
        0.00813612,
        0.0075899,
        0.00782869,
        0.00808692,
        0.00846721,
        0.00892408,
        0.00782699,
        0.00811846,
        0.00922982,
        0.00904897,
        0.00903149,
        0.00917676,
        0.00866271,
        0.00994936,
        0.011855,
        0.0130548,
        0.0144014,
        0.0168959,
        0.0204877,
        0.024988,
        0.0167105,
        0.0157594,
        0.013019,
        0.0106665,
        0.00951698,
        0.0087689,
        0.00793447,
        0.00709679,
        0.00865412,
        0.00756934,
        0.00691737,
        0.00714251,
        0.0075598,
        0.00717308,
        0.0070156,
        0.00682573,
        0.00643623,
        0.00636816,
        0.00618903,
        0.00564599,
        0.00519026,
        0.00535715,
        0.00618342,
        0.0064348,
        0.00631327,
        0.00590586,
        0.00518139,
        0.00593243,
        0.00554011,
        0.00529379,
        0.00543307,
        0.0055566,
        0.0054298,
        0.00529158,
        0.00520981,
        0.00555043,
        0.00594103,
        0.00575838,
        0.00525094,
        0.00506146,
        0.00498845,
        0.00510401,
        0.00501849,
        0.00507969,
        0.00505533,
        0.00522849,
        0.00553592,
        0.0050878,
        0.00461086,
        0.00443772,
        0.00506587,
        0.00555,
        0.00528575,
        0.00520049,
        0.00542229,
        0.00533069,
        0.00534276,
        0.00534296,
        0.00550578,
        0.00563736,
        0.00586597,
        0.00706511,
        0.00690841,
        0.00662521,
        0.00620894,
        0.006049,
        0.00606318,
        0.0060076,
        0.00727656,
        0.00601207,
        0.00570814,
        0.00590743,
        0.00625632,
        0.00630693,
        0.00597468,
        0.00509543,
        0.0053201,
        0.00526486,
        0.00505041,
        0.00513043,
        0.00540557,
        0.00517028,
        0.00546683,
        0.00560033,
        0.00560632,
        0.00542136,
        0.00491622,
        0.00488853,
        0.00447485,
        0.00479964,
        0.00461964,
        0.00431918,
        0.00454393,
        0.00459329,
        0.00479949,
        0.00466285,
        0.00445921,
        0.00425796,
        0.00468205,
        0.00495542,
        0.0044909,
        0.00485707,
        0.00507935,
        0.0050875,
        0.00502037,
        0.00472545,
        0.00454542,
        0.00436458,
        0.00484544,
        0.00447542,
        0.00469133,
        0.00483808,
        0.00496661,
        0.00497239,
        0.00512533,
        0.0052394,
        0.0049976,
        0.00457068,
        0.00448788,
        0.00456126,
        0.00446067,
        0.00456514,
        0.00412142,
        0.0048442,
        0.00494941,
        0.00475507,
        0.00481366,
        0.00463078,
        0.00478334,
        0.00451707,
        0.00471987,
        0.00455856,
        0.00473992,
        0.00506534,
        0.00480622,
        0.00415924,
        0.00462343,
        0.00512381,
        0.00461306,
        0.0044974,
        0.00427451,
        0.00411554,
        0.00443606,
        0.00413716,
        0.0047653,
        0.0049007,
        0.00488499,
        0.00467655,
        0.00457211,
        0.00497782,
        0.00483649,
        0.00427264,
        0.00509309,
        0.00505757,
        0.00441434,
        0.00454832,
        0.00486898,
        0.00493411,
        0.00502889,
        0.00442754,
        0.00448521,
        0.00476758,
        0.00478651,
        0.00484415,
        0.00466855,
        0.00442257,
        0.00417735,
        0.00434144,
        0.0045297,
        0.00435603,
        0.00458372,
        0.00516236,
        0.00477209,
        0.00511688,
        0.00501909,
        0.00439908,
        0.00440802,
        0.0048029,
        0.00494451,
        0.00444396,
        0.00451234,
        0.0045444,
        0.00436769,
        0.00439963,
        0.00456102,
        0.00429574,
        0.00429008,
        0.00482733,
        0.0050075,
        0.00443855,
        0.00440173,
        0.00454568,
        0.00445131,
        0.00452921,
        0.00494088,
        0.00521689,
        0.00510864,
        0.00518471,
        0.00460632,
        0.00481433,
        0.00508196,
        0.00460826,
        0.0042459,
        0.0045739,
        0.00458756,
        0.00416402,
        0.0050523,
        0.0056665,
        0.00545423,
        0.00491574,
        0.00516254,
        0.00459506,
        0.0042363,
        0.00458531,
        0.00494842,
        0.00499363,
        0.00494861,
        0.0044181,
        0.00494063,
        0.00507384,
        0.00499353,
        0.00520869,
        0.00558972,
        0.00546731,
        0.00535309,
        0.00509081,
        0.00526017,
        0.00506212,
        0.00471062,
        0.00468519,
        0.00505558,
        0.00470957,
        0.00463559,
        0.0052479,
        0.00544392,
        0.0052463,
        0.00471833,
        0.00444234,
        0.0046127,
        0.00437852,
        0.00468424,
        0.00504664,
        0.00510214,
        0.00469596,
        0.00397708,
        0.00456977,
        0.0049547,
        0.00512934,
        0.00484586,
        0.0046476,
        0.00511448,
        0.00466264,
        0.00440793,
        0.00444062,
        0.0044903,
        0.00420774,
        0.00421562,
        0.00506587,
        0.00470004,
        0.00447302,
        0.00425737,
        0.00427993,
        0.00461826,
        0.00485897,
        0.00477409,
        0.00457292,
        0.00426595,
        0.00433727,
        0.00463001,
        0.00492277,
        0.00487713,
        0.00393659,
        0.00432839,
        0.00452672,
        0.00485649,
        0.00525988,
        0.00505869,
        0.00446516,
        0.00393925,
        0.00409166,
        0.00491044,
        0.00502391,
        0.00490658,
        0.00472587,
        0.00457236,
        0.0048272,
        0.0042443,
        0.00414431,
        0.00466963,
        0.00480735,
        0.00504901,
        0.00505935,
        0.00535392,
        0.00496413,
        0.00472928,
        0.00481278,
        0.00466782,
        0.00449836,
        0.00482381,
        0.00506298,
        0.00461055,
        0.00470281,
        0.00480093,
        0.00516466,
        0.00533781,
        0.00424069,
        0.0041975,
        0.00468585,
        0.0047706,
        0.0044907,
        0.0039852,
        0.00447198,
        0.00475112,
        0.00456074,
        0.00440839,
        0.00405765,
        0.00455608,
        0.00475384,
        0.00439479,
        0.00479599,
        0.00530172,
        0.00460186,
        0.00463874,
        0.00491966,
        0.00449792,
        0.00457777,
        0.0052564,
        0.00487924,
        0.00484243,
        0.00487366,
        0.00505775,
        0.00471622,
        0.00481164,
        0.00556273,
        0.00628659,
        0.0057947,
        0.0061369,
        0.00691427,
        0.00631127,
        0.00765631,
        0.00640975,
        0.0056795,
        0.00484066,
        0.00495943,
        0.00536785,
        0.00486863,
        0.00577605,
        0.00573174,
        0.00548996,
        0.00525334,
        0.00465066,
        0.00403543,
        0.00465965,
        0.00527924,
        0.00593776,
        0.00586815,
        0.00512898,
        0.00532609,
        0.0055474,
        0.00523497,
        0.00512534,
        0.00466966,
        0.0043902,
        0.0050088,
        0.00505864,
        0.00475546,
        0.00464995,
        0.0044157,
        0.00450332,
        0.00491868,
        0.0049006,
        0.00492638,
        0.00441875,
        0.00461789,
        0.00494634,
        0.00519756,
        0.0053916,
        0.00475999,
        0.00430354,
        0.00458938,
        0.00465507,
        0.00482894,
        0.00479702,
        0.00479256,
        0.00519851,
        0.00538359,
        0.00478724,
        0.00484956,
        0.00525227,
        0.00537415,
        0.00478672,
        0.00526196,
        0.00489778,
        0.00479085,
        0.00527867,
        0.00526523,
        0.004581,
        0.00478006,
        0.00459203,
        0.00454899,
        0.00440184,
        0.00440925,
        0.00433446,
        0.00441779,
        0.00457014,
        0.00442477,
        0.00456779,
        0.00452186,
        0.0047246,
        0.00488941,
        0.0048035,
        0.00447486,
        0.005592,
        0.00512784,
        0.00504612,
        0.00441057,
        0.00424208,
        0.00467973,
        0.00502092,
        0.00438009,
        0.004169,
        0.00468824,
        0.00520232,
        0.0050092,
        0.00445558,
        0.00434789,
        0.00502549,
        0.00466436,
        0.00483123,
        0.00441823,
        0.00460829,
        0.00518401,
        0.00529047,
        0.00506312,
        0.00468763,
        0.00467837,
        0.00455884,
        0.0052752,
        0.00591088,
        0.00519578,
        0.00435031,
        0.00520402,
        0.00496384,
        0.00463635,
        0.00484156,
        0.00521811,
        0.00506297,
        0.00496588,
        0.00488464,
        0.00579435,
        0.00549313,
        0.00494559,
        0.00471832,
        0.00437968,
        0.00477612,
        0.00413892,
        0.0048524,
        0.00539462,
        0.00532104,
        0.00492313,
        0.00482738,
        0.00558345,
        0.00573511,
        0.00505325,
        0.00501228,
        0.00494001,
        0.00437012,
        0.00440448,
        0.00515743,
        0.00528874,
        0.00551128,
        0.0050905,
        0.00506137,
        0.00571272,
        0.00537421,
        0.00660014,
        0.00593027,
        0.00578694,
        0.00541969,
        0.00500051,
        0.00506301,
        0.00525978,
        0.00549951,
        0.00511145,
        0.00522409,
        0.00542268,
        0.0052729,
        0.00499954,
        0.00564256,
        0.00557915,
        0.00475746,
        0.0050252,
        0.00540159,
        0.00525879,
        0.00499187,
        0.00548154,
        0.00598559,
        0.00576603,
        0.0052121,
        0.0052991,
        0.00528756,
        0.00437689,
        0.00571489,
        0.00546466,
        0.00543236,
        0.00518922,
        0.00519114,
        0.00539415,
        0.00519686,
        0.00448284,
        0.00481877,
        0.00516215,
        0.00514187,
        0.00560059,
        0.00570066,
        0.00419342,
        0.00561702,
        0.00574995,
        0.00571257,
        0.00563922,
        0.0055841,
        0.0057396,
        0.00621786,
        0.00611237,
        0.00507743,
        0.00619659,
        0.00600513,
        0.00555907,
        0.00545933,
        0.00425085,
        0.00466057,
        0.00465824,
        0.00522648,
        0.00508482,
        0.0046609,
        0.00456462,
        0.00457818,
        0.00483725,
        0.00452883,
        0.0048532,
        0.00531447,
        0.00566585,
        0.00529367,
        0.00547956,
        0.00527,
        0.00518231,
        0.00512335,
        0.00504421,
        0.0056046,
        0.00541911,
        0.00574084,
        0.00479563,
        0.00444167,
        0.00487161,
        0.00514372,
        0.00516001,
        0.00565606,
        0.00447072,
        0.0042034,
        0.00486544,
        0.00540546,
        0.00535658,
        0.00583877,
        0.00520134,
        0.00558496,
        0.00552917,
        0.00558006,
        0.00565156,
        0.0054339,
        0.00542252,
        0.00575238,
        0.00505128,
        0.00554948,
        0.00535368,
        0.00491897,
        0.00535078,
        0.00497132,
        0.00498085,
        0.00516264,
        0.00549976,
        0.00562563,
        0.0054476,
        0.00516484,
        0.00511311,
        0.006287,
        0.00584651,
        0.00562208,
        0.00553368,
        0.00540528,
        0.00539827,
        0.0057741,
        0.00510374,
        0.00621728,
        0.00718997,
        0.00754426,
        0.00773439,
        0.00819581,
        0.00835108,
        0.00855532,
        0.00737788,
        0.00681425,
        0.00748277,
        0.00832176,
        0.00797293,
        0.00675077,
        0.00737004,
        0.00710413,
        0.00614015,
        0.00540518,
        0.00537165,
        0.00564401,
        0.00517257,
        0.00655973,
        0.00566771,
        0.00620553,
        0.00624561,
        0.006138,
        0.00681293,
        0.00632887,
        0.00684071,
        0.00602984,
        0.00636155,
        0.00761103,
        0.0080657,
        0.00723179,
        0.00757827,
        0.00721308,
        0.00774498,
        0.00927654,
        0.0106691,
        0.0115687,
        0.012926,
        0.0164812,
        0.0195611,
        0.0159881,
        0.0142664,
        0.0115944,
        0.0100752,
        0.00987594,
        0.00940281,
        0.00794602,
        0.00693645,
        0.00705112,
        0.00673962,
        0.00758094,
        0.00743768,
        0.00669262,
        0.00620874,
        0.00573884,
        0.00498878,
        0.00661895,
        0.00562977,
        0.00527954,
        0.00586332,
        0.00618208,
        0.00549457,
        0.00526448,
        0.00508642,
        0.00553117,
        0.00523227,
        0.0049746,
        0.00501685,
        0.0045843,
        0.00566301,
        0.00549865,
        0.00475979,
        0.00462931,
        0.00490713,
        0.00479957,
        0.00404166,
        0.00438535,
        0.00388441,
        0.00494761,
        0.00494492,
        0.00464705,
        0.00487609,
        0.00521928,
        0.00521097,
        0.00480767,
        0.0046332,
        0.00446713,
        0.00501902,
        0.00573265,
        0.00564648,
        0.00594605,
        0.00529876,
        0.00446228,
        0.00395651,
        0.00415169,
        0.00416813,
        0.00351812,
        0.00463889,
        0.00490985,
        0.0047901,
        0.00477892,
        0.00446417,
        0.00438833,
        0.0048683,
        0.00457747,
        0.0047461,
        0.00519057,
        0.00436406,
        0.00429028,
        0.00447532,
        0.0041475,
        0.00482489,
        0.00546727,
        0.00479081,
        0.00459255,
        0.00491618,
        0.00515933,
        0.00488798,
        0.00440796,
        0.00412066,
        0.00458121,
        0.00445256,
        0.00555799,
        0.00564429,
        0.00536364,
        0.00477455,
        0.00407406,
        0.00479123,
        0.004838,
        0.00479414,
        0.00490764,
        0.00485435,
        0.00478029,
        0.00493966,
        0.00586045,
        0.00574457,
        0.00527046,
        0.00517294,
        0.00567317,
        0.00591017,
        0.00505661,
        0.0051407,
        0.00645934,
        0.00622033,
        0.00599661,
        0.00660909,
        0.00662509,
        0.00623119,
        0.00669085,
        0.00722415,
        0.00955303,
        0.00929203,
        0.0104269,
        0.0123693,
        0.0139233,
        0.0151282,
        0.0161736,
        0.0157002,
        0.0147675,
        0.0135445,
        0.0125172,
        0.0104393,
        0.00876849,
        0.00800435,
        0.00749428,
        0.00672502,
        0.00607167,
        0.00636866,
        0.00682267,
        0.00623104,
        0.00557595,
        0.00572144,
        0.00570294,
        0.0056839,
        0.00538431,
        0.00514534,
        0.00483547,
        0.00515541,
        0.00511469,
        0.0052533,
        0.0054245,
        0.00535922,
        0.00502272,
        0.00512829,
        0.00521331,
        0.00604217,
        0.00575545,
        0.00532483,
        0.00494536,
        0.00489368,
        0.00538247,
        0.00505422,
        0.00526475,
        0.0051283,
        0.00522183,
        0.00526126,
        0.0053196,
        0.00551718,
        0.00530158,
        0.00482275,
        0.00496831,
        0.00543812,
        0.00536784,
        0.00534029,
        0.00508945,
        0.00484415,
        0.00570025,
        0.00535723,
        0.00538269,
        0.00598367,
        0.00593734,
        0.0054823,
        0.0052338,
        0.00494035,
        0.00543439,
        0.00566255,
        0.00540127,
        0.00565791,
        0.00567146,
        0.00593366,
        0.0053422,
        0.00557865,
        0.00624174,
        0.00642239,
        0.0059564,
        0.00607031,
        0.00595981,
        0.00640358,
        0.00651196,
        0.00620271,
        0.00624031,
        0.00622544,
        0.00624647,
        0.00711094,
        0.00778542,
        0.00674571,
        0.00720755,
        0.00661728,
        0.00585709,
        0.0064432,
        0.0070174,
        0.00768988,
        0.00656245,
        0.00828079,
        0.00934836,
        0.00987401,
        0.0102326,
        0.010168,
        0.0112387,
        0.0130476,
        0.0123139,
        0.0124513,
        0.0136508,
        0.0138635,
        0.0162602,
        0.0222896,
        0.0226027,
        0.0211714,
        0.0157953,
        0.0135089,
        0.0123542,
        0.011827,
        0.0106748,
        0.00921472,
        0.00802469,
        0.00793557,
        0.00822738,
        0.00766095,
        0.00859072,
        0.00753911,
        0.00686544,
        0.00675527,
        0.006602,
        0.00666764,
        0.00622186,
        0.00615017,
        0.00620436,
        0.00609595,
        0.00606714,
        0.00595483,
        0.00641536,
        0.00695474,
        0.00674876,
        0.0066313,
        0.00602342,
        0.00558592,
        0.0057764,
        0.00601719,
        0.00545537,
        0.00600905,
        0.00618684,
        0.00633654,
        0.00577024,
        0.00589635,
        0.00578326,
        0.00540934,
        0.00601331,
        0.00608254,
        0.00622491,
        0.00646068,
        0.00693898,
        0.00693673,
        0.00610429,
        0.00642873,
        0.00704825,
        0.00688971,
        0.00760355,
        0.00772254,
        0.00763135,
        0.00740586,
        0.00858418,
        0.00873647,
        0.00847125,
        0.00830931,
        0.0067845,
        0.00692307,
        0.00738301,
        0.00676996,
        0.00641541,
        0.0061227,
        0.00603824,
        0.00583158,
        0.00547417,
        0.005709,
        0.00651619,
        0.0062086,
        0.0057947,
        0.00630228,
        0.0061239,
        0.00605259,
        0.00620588,
        0.00634068,
        0.00625338,
        0.00676797,
        0.00691923,
        0.0059488,
        0.00586439,
        0.00607098,
        0.00628118,
        0.00625854,
        0.00646304,
        0.0065196,
        0.00663584,
        0.00735093,
        0.00686058,
        0.00738482,
        0.00893048,
        0.00831124,
        0.00833656,
        0.00756865,
        0.00774285,
        0.0088174,
        0.0085376,
        0.009952,
        0.0108773,
        0.0113872,
        0.0127832,
        0.0149283,
        0.0179488,
        0.026514,
        0.0186349,
        0.0179741,
        0.0158462,
        0.0124667,
        0.0129178,
        0.0104342,
        0.0109342,
        0.0101457,
        0.00862455,
        0.00841458,
        0.00853362,
        0.0074486,
        0.00682298,
        0.00675003,
        0.00695598,
        0.00696211,
        0.00639194,
        0.00585307,
        0.00649963,
        0.00660841,
        0.00618745,
        0.00642943,
        0.00689773,
        0.00651962,
        0.00619693,
        0.0065635,
        0.00641143,
        0.00640706,
        0.00609362,
        0.00577597,
        0.00567374,
        0.00545624,
        0.00537961,
        0.00560853,
        0.00553452,
        0.00594021,
        0.00591913,
        0.00606992,
        0.0058064,
        0.00557603,
        0.00584012,
        0.00615033,
        0.00598364,
        0.00665831,
        0.00650029,
        0.00721109,
        0.00834915,
        0.00903596,
        0.00865993,
        0.0102389,
        0.0130952,
        0.0183544,
        0.0155704,
        0.0146078,
        0.0133667,
        0.0104925,
        0.00835519,
        0.00713005,
        0.00690378,
        0.00596365,
        0.00650679,
        0.00628724,
        0.00564487,
        0.00534477,
        0.0058329,
        0.00552925,
        0.0052151,
        0.00561061,
        0.00544455,
        0.00513088,
        0.00553197,
        0.00530457,
        0.00506348,
        0.00507367,
        0.00515682,
        0.00485156,
        0.00455237,
        0.00467127,
        0.00532865,
        0.00535801,
        0.00452086,
        0.00463777,
        0.00473571,
        0.00519813,
        0.00522042,
        0.00554885,
        0.00553477,
        0.00513933,
        0.00502997,
        0.00473374,
        0.00506931,
        0.00527328,
        0.00492011,
        0.0045229,
        0.00460759,
        0.00412305,
        0.00410664,
        0.00467082,
        0.00478541,
        0.00440829,
        0.00450279,
        0.00412933,
        0.00430817,
        0.00515141,
        0.00514488,
        0.00474198,
        0.00444693,
        0.00446869,
        0.00466644,
        0.00493805,
        0.00418057,
        0.00410882,
        0.00483231,
        0.00446546,
        0.00408034,
        0.00453961,
        0.00498649,
        0.00482193,
        0.00459113,
        0.00414247,
        0.00482478,
        0.00475893,
        0.00454513,
        0.00460224,
        0.00441964,
        0.00442271,
        0.00409072,
        0.00457485,
        0.00494049,
        0.00481297,
        0.00488407,
        0.00494544,
        0.00435986,
        0.00415757,
        0.00454158,
        0.00444504,
        0.0041185,
        0.00359011,
        0.00356517,
        0.00414381,
        0.00455866,
        0.00429343,
        0.00494057,
        0.00466985,
        0.00436942,
        0.00479292,
        0.00488468,
        0.00439627,
        0.00428593,
        0.00492954,
        0.00476694,
        0.00398846,
        0.00430905,
        0.00461034,
        0.00468037,
        0.00486956,
        0.00525381,
        0.00525713,
        0.00453411,
        0.0047052,
        0.00434551,
        0.00419429,
        0.00432504,
        0.00452655,
        0.00444105,
        0.00389309,
        0.00457748,
        0.00439973,
        0.00493955,
        0.00501048,
        0.00470386,
        0.00441831,
        0.00427426,
        0.00421194,
        0.00477747,
        0.00435676,
        0.00447287,
        0.00444207,
        0.00451528,
        0.00479856,
        0.0054088,
        0.00614987,
        0.00473716,
        0.00547108,
        0.00542545,
        0.00477995,
        0.00433017,
        0.00461699,
        0.00519933,
        0.00508752,
        0.00435356,
        0.00462303,
        0.0047718,
        0.00474703,
        0.00457073,
        0.00465159,
        0.00507307,
        0.0052763,
        0.00458617,
        0.00448607,
        0.00466519,
        0.00494065,
        0.00485854,
        0.00453512,
        0.00447206,
        0.0047762,
        0.00460487,
        0.00425299,
        0.00469773,
        0.00459159,
        0.0047604,
        0.00455965,
        0.0043657,
        0.00487273,
        0.00507762,
        0.00495198,
        0.00495301,
        0.00512505,
        0.00532328,
        0.00483126,
        0.00482963,
        0.00545535,
        0.004451,
        0.00560331,
        0.00573916,
        0.00552289,
        0.00572096,
        0.00566621,
        0.00558028,
        0.00553727,
        0.00506874,
        0.00559158,
        0.00529329,
        0.00458689,
        0.0045973,
        0.00501852,
        0.00536406,
        0.0050798,
        0.00436461,
        0.00512146,
        0.00557062,
        0.00492709,
        0.00523825,
        0.00538611,
        0.00525038,
        0.00492752,
        0.00454176,
        0.00471215,
        0.00512488,
        0.00461443,
        0.00517715,
        0.00495052,
        0.00465354,
        0.00501295,
        0.00554201,
        0.00532973,
        0.00528368,
        0.00478244,
        0.00476956,
        0.0053655,
        0.0058891,
        0.00607831,
        0.00568405,
        0.00477918,
        0.00565337,
        0.00529181,
        0.00485833,
        0.00481632,
        0.00523056,
        0.00551535,
        0.00552211,
        0.00559081,
        0.00537507,
        0.00526215,
        0.0048826,
        0.00471884,
        0.00437448,
        0.00434178,
        0.00459526,
        0.00470138,
        0.00473692,
        0.00436705,
        0.00436948,
        0.00468944,
        0.00488818,
        0.00503459,
        0.00526389,
        0.0053262,
        0.00491291,
        0.00521555,
        0.00589882,
        0.00527831,
        0.00519335,
        0.00547707,
        0.0057828,
        0.00571731,
        0.00516773,
        0.00500883,
        0.00503604,
        0.0045887,
        0.00486663,
        0.00521438,
        0.00537344,
        0.00517866,
        0.00474021,
        0.00465922,
        0.00415897,
        0.00502669,
        0.005398,
        0.00535351,
        0.00515636,
        0.00592472,
        0.00572791,
        0.00572167,
        0.00568251,
        0.00503764,
        0.00520761,
        0.00457637,
        0.00523651,
        0.00508612,
        0.00486529,
        0.00490901,
        0.00519072,
        0.00543317,
        0.00523079,
        0.00472645,
        0.00543837,
        0.00531275,
        0.00568886,
        0.00546871,
        0.00478078,
        0.00443646,
        0.00468625,
        0.00544048,
        0.005907,
        0.00587982,
        0.0053626,
        0.00518628,
        0.00527499,
        0.00550724,
        0.0057506,
        0.00527527,
        0.00429798,
        0.00486278,
        0.00470956,
        0.00522975,
        0.00469631,
        0.00412703,
        0.00511683,
        0.00642137,
        0.00619793,
        0.00508768,
        0.00515897,
        0.00538045,
        0.00470545,
        0.00412405,
        0.00476381,
        0.00601804,
        0.00574803,
        0.00503102,
        0.0041719,
        0.00486622,
        0.00540571,
        0.00498786,
        0.00457127,
        0.0049108,
        0.00527048,
        0.00602693,
        0.0035606,
        0.00462061,
        0.00524944,
        0.00548917,
        0.00527737,
        0.0049667,
        0.00528134,
        0.00570199,
        0.0047818,
        0.00544743,
        0.00572544,
        0.00539015,
        0.00526268,
        0.0050072,
        0.00449832,
        0.00491444,
        0.0043898,
        0.00575638,
        0.00544164,
        0.00511188,
        0.00459612,
        0.00441953,
        0.00505164,
        0.00561092,
        0.00432128,
        0.00543119,
        0.00560062,
        0.00527443,
        0.0053965,
        0.00546038,
        0.00531365,
        0.00516885,
        0.00497954,
        0.00542975,
        0.00515013,
        0.00449953,
        0.00506357,
        0.00492238,
        0.00460596,
        0.00471146,
        0.00455547,
        0.00415462,
        0.00414308,
        0.00509477,
        0.00486756,
        0.00537312,
        0.00553678,
        0.00533828,
        0.0055983,
        0.0059416,
        0.00504122,
        0.00456563,
        0.00596316,
        0.00501869,
        0.00491792,
        0.00484,
        0.0045835,
        0.00530777,
        0.00582329,
        0.00435989,
        0.00449247,
        0.00543895,
        0.00544868,
        0.00455332,
        0.0040726,
        0.00466408,
        0.0052938,
        0.00466034,
        0.00499596,
        0.00586974,
        0.00594017,
        0.00555978,
        0.00688204,
        0.00643381,
        0.00584921,
        0.0055508,
        0.00509632,
        0.0048183,
        0.00507152,
        0.0054861,
        0.00546524,
        0.00568779,
        0.00534591,
        0.00544,
        0.00562399,
        0.00579706,
        0.00621394,
        0.00638132,
        0.00699988,
        0.00658018,
        0.00694465,
        0.00706074,
        0.00720232,
        0.00724592,
        0.00905331,
        0.00958143,
        0.0099691,
        0.00943073,
        0.0112713,
        0.0140375,
        0.0188341,
        0.0204745,
        0.0144691,
        0.0115118,
        0.00988225,
        0.00926429,
        0.0078828,
        0.00789637,
        0.00729465,
        0.00658398,
        0.00612515,
        0.00601977,
        0.00565627,
        0.00575078,
        0.0057037,
        0.00606745,
        0.00603088,
        0.00625595,
        0.00644686,
        0.00583964,
        0.00481686,
        0.00500881,
        0.00481475,
        0.00523573,
        0.00547813,
        0.00575074,
        0.00553915,
        0.0051328,
        0.00556784,
        0.00531719,
        0.00502474,
        0.00572957,
        0.00550844,
        0.00510007,
        0.00515731,
        0.00531828,
        0.00526055,
        0.00526183,
        0.00543331,
        0.00532839,
        0.00508817,
        0.00462431,
        0.00499049,
        0.00534123,
        0.0052666,
        0.00524788,
        0.00506119,
        0.0044064,
        0.00518183,
        0.00499371,
        0.00535584,
        0.00530346,
        0.00492372,
        0.00486226,
        0.00493272,
        0.00450002,
        0.00497289,
        0.00537141,
        0.00460625,
        0.00472417,
        0.00492036,
        0.00507985,
        0.00545131,
        0.00559152,
        0.00597911,
        0.00596896,
        0.00624467,
        0.00623839,
        0.00604332,
        0.00617672,
        0.00591256,
        0.00567555,
        0.00584305,
        0.00616153,
        0.00592245,
        0.00579306,
        0.00599502,
        0.00562067,
        0.00539945,
        0.00532792,
        0.00508052,
        0.00530115,
        0.0049793,
        0.00512669,
        0.0047736,
        0.00517385,
        0.00535167,
        0.0050567,
        0.00529018,
        0.00551063,
        0.00555131,
        0.00578599,
        0.00505613,
        0.00480899,
        0.00434165,
        0.00473699,
        0.0050457,
        0.00499795,
        0.00563661,
        0.00524441,
        0.0049788,
        0.00522199,
        0.00551085,
        0.00526733,
        0.00468432,
        0.00493817,
        0.00562034,
        0.00547062,
        0.00527466,
        0.00566579,
        0.00527615,
        0.00487638,
        0.00474368,
        0.00546754,
        0.00538373,
        0.00565935,
        0.00590791,
        0.00568687,
        0.00594694,
        0.00595964,
        0.00513137,
        0.00492689,
        0.00454752,
        0.00480031,
        0.00495301,
        0.00454882,
        0.00489179,
        0.00500066,
        0.00510374,
        0.00494359,
        0.00490766,
        0.00521036,
        0.00527417,
        0.00444276,
        0.00433956,
        0.00518326,
        0.00501144,
        0.00484817,
        0.00561129,
        0.00521614,
        0.00486897,
        0.00488961,
        0.00516793,
        0.00529538,
        0.00475439,
        0.00419887,
        0.0052734,
        0.00580551,
        0.00533668,
        0.00562357,
        0.00528523,
        0.0050332,
        0.00564684,
        0.00656798,
        0.00760222,
        0.00707305,
        0.00588713,
        0.00592287,
        0.00596344,
        0.0062985,
        0.00632834,
        0.00561668,
        0.00577386,
        0.00540559,
        0.00516284,
        0.00546877,
        0.00596413,
        0.00614931,
        0.0060177,
        0.00563115,
        0.00510918,
        0.00527653,
        0.00524291,
        0.00539851,
        0.00501187,
        0.0049814,
        0.00500678,
        0.00492299,
        0.00501202,
        0.00523471,
        0.00546964,
        0.00534249,
        0.006036,
        0.00593142,
        0.00613219,
        0.00613063,
        0.00595345,
        0.00599599,
        0.00572259,
        0.00578754,
        0.0058907,
        0.00568576,
        0.00600411,
        0.0059169,
        0.00588935,
        0.00618188,
        0.00609618,
        0.00528743,
        0.00565936,
        0.00609855,
        0.00742654,
        0.00788032,
        0.00819723,
        0.00957339,
        0.0112513,
        0.0146018,
        0.0144499,
        0.0153646,
        0.0170851,
        0.0177484,
        0.0173766,
        0.0165418,
        0.0169915,
        0.019282,
        0.0221878,
        0.0186189,
        0.0187547,
        0.0174277,
        0.0154399,
        0.0171707,
        0.0151634,
        0.0144596,
        0.0130072,
        0.0132915,
        0.0125683,
        0.0134575,
        0.0154411,
        0.0154274,
        0.0152529,
        0.0152052,
        0.0123512,
        0.0121622,
        0.0127414,
        0.0114328,
        0.0113811,
        0.0110392,
        0.010668,
        0.0105381,
        0.00964713,
        0.00843965,
        0.0101201,
        0.0102509,
        0.0101445,
        0.0092767,
        0.0085922,
        0.00857661,
        0.00816604,
        0.00716651,
        0.00798345,
        0.00941568,
        0.0105921,
        0.0107985,
        0.010421,
        0.0100425,
        0.00979641,
        0.00874932,
        0.00741694,
        0.00823217,
        0.00815755,
        0.00674685,
        0.00641405,
        0.00646091,
        0.0065697,
        0.00757165,
        0.00745856,
        0.00706882,
        0.00720018,
        0.00724732,
        0.0081072,
        0.00898329,
        0.00909522,
        0.0088981,
        0.00763387,
        0.00842739,
        0.00911909,
        0.00920985,
        0.0106335,
        0.0100627,
        0.00929301,
        0.00863486,
        0.0067184,
        0.00677306,
        0.00739763,
        0.00631798,
        0.00651094,
        0.00637991,
        0.00616025,
        0.00590052,
        0.00595188,
        0.00638333,
        0.00605396,
        0.00563341,
        0.00616239,
        0.00601797,
        0.00580192,
        0.00607069,
        0.0063545,
        0.0063402,
        0.00653305,
        0.00685634,
        0.0061545,
        0.00570956,
        0.00635804,
        0.00592136,
        0.00542653,
        0.0057719,
        0.0069964,
        0.00800863,
        0.00731896,
        0.00605967,
        0.00594395,
        0.0055449,
        0.00606132,
        0.00628095,
        0.006414,
        0.00679484,
        0.00616553,
        0.00667709,
        0.00621176,
        0.00611089,
        0.00585865,
        0.00607954,
        0.00574518,
        0.00527354,
        0.00523869,
        0.00614915,
        0.00627232,
        0.00644667,
        0.006472,
        0.00588944,
        0.00512666,
        0.00542542,
        0.00568257,
        0.00578661,
        0.0060278,
        0.00481511,
        0.00496234,
        0.00500291,
        0.00511559,
        0.00531995,
        0.00548625,
        0.00628557,
        0.00677855,
        0.00787421,
        0.00779202,
        0.00743625,
        0.00692891,
        0.00663459,
        0.00693071,
        0.00785653,
        0.00897014,
        0.00884345,
        0.00718279,
        0.00604871,
        0.00597562,
        0.00596612,
        0.00596008,
        0.00601916,
        0.0054834,
        0.00491117,
        0.00477254,
        0.00551837,
        0.00615412,
        0.00685238,
        0.00620333,
        0.00513315,
        0.00506924,
        0.00499553,
        0.00642252,
        0.00572716,
        0.00559233,
        0.00521216,
        0.00521287,
        0.00511095,
        0.00534154,
        0.00556176,
        0.00602056,
        0.00720587,
        0.00663837,
        0.0070024,
        0.00635861,
        0.00571033,
        0.00505893,
        0.00457266,
        0.00431209,
        0.00477128,
        0.00495541,
        0.00505271,
        0.00448187,
        0.0045841,
        0.00463069,
        0.00548301,
        0.00627534,
        0.00702241,
        0.00853672,
        0.00796543,
        0.00722703,
        0.00574603,
        0.0051282,
        0.00514059,
        0.00530576,
        0.00547644,
        0.0055744,
        0.00475434,
        0.00519634,
        0.0050464,
        0.00533838,
        0.00583424,
        0.00634305,
        0.00666633,
        0.00651077,
        0.00614496,
        0.00670619,
        0.00860899,
        0.00830834,
        0.0066954,
        0.00720218,
        0.00741682,
        0.00775539,
        0.00902184,
        0.0105698,
        0.010835,
        0.00923405,
        0.0114339,
        0.00923537,
        0.0126578,
        0.0170063,
        0.0212244,
        0.0167351,
        0.0108444,
        0.0093024,
        0.00750247,
        0.00879116,
        0.00728095,
        0.00705996,
        0.00874107,
        0.00932868,
        0.00760465,
        0.00605506,
        0.00683285,
        0.00633824,
        0.00570963,
        0.0065804,
        0.00692217,
        0.00688179,
        0.00638286,
        0.00614107,
        0.0067852,
        0.00680524,
        0.00626929,
        0.00810856,
        0.00722054,
        0.00726287,
        0.00668816,
        0.00631293,
        0.00693526,
        0.00761765,
        0.00760039,
        0.00669637,
        0.00631523,
        0.00574131,
        0.00498027,
        0.00552286,
        0.0062378,
        0.00618236,
        0.00594442,
        0.00553082,
        0.00568738,
        0.00542369,
        0.00579202,
        0.00552277,
        0.00498437,
        0.00473456,
        0.00528188,
        0.00609162,
        0.00512792,
        0.00568448,
        0.00498837,
        0.00622019,
        0.00664843,
        0.00733539,
        0.00797378,
        0.00762835,
        0.00686424,
        0.00724343,
        0.00646527,
        0.00724166,
        0.00704315,
        0.00620844,
        0.00554833,
        0.00543372,
        0.00538987,
        0.00520748,
        0.00593273,
        0.00667375,
        0.00795484,
        0.00982661,
        0.00956817,
        0.0101884,
        0.0102445,
        0.00902772,
        0.00827341,
        0.00786501,
        0.00780446,
        0.00909513,
        0.0105011,
        0.00912727,
        0.00866425,
        0.00804716,
        0.00698771,
        0.00673504,
        0.0057559,
        0.00519653,
        0.00528338,
        0.00528515,
        0.00650012,
        0.00626886,
        0.00543608,
        0.00559,
        0.00610121,
        0.0055323,
        0.00654415,
        0.00628199,
        0.00522364,
        0.00490728,
        0.00459295,
        0.00498584,
        0.00598695,
        0.00649298,
        0.0061319,
        0.00552622,
        0.00533213,
        0.00588069,
        0.00586911,
        0.00646111,
        0.00637163,
        0.00591413,
        0.00633656,
        0.00802423,
        0.011434,
        0.0100582,
        0.00858963,
        0.0090965,
        0.008993,
        0.00702838,
        0.00572388,
        0.00603789,
        0.00603372,
        0.00599981,
        0.00628693,
        0.00616032,
        0.00565097,
        0.00502558,
        0.0052457,
        0.00545994,
        0.00531694,
        0.00565245,
        0.00604491,
        0.0044,
        0.00460743,
        0.00547646,
        0.00521675,
        0.00518846,
        0.00538691,
        0.00553639,
        0.00569663,
        0.00568032,
        0.00528822,
        0.00513945,
        0.00573504,
        0.00557207,
        0.00622963,
        0.00827535,
        0.00978212,
        0.00923798,
        0.00802197,
        0.00721647,
        0.00539031,
        0.00593813,
        0.00709581,
        0.00835507,
        0.00823459,
        0.00733896,
        0.00671197,
        0.00617974,
        0.00592465,
        0.00598969,
        0.00589555,
        0.00527068,
        0.00654571,
        0.00900913,
        0.0106109,
        0.0102394,
        0.00876226,
        0.00815548,
        0.00814219,
        0.00749986,
        0.00793786,
        0.00681901,
        0.0059713,
        0.00651234,
        0.00719516,
        0.00700917,
        0.00738019,
        0.0071161,
        0.00573071,
        0.0058099,
        0.00608918,
        0.00693735,
        0.00769108,
        0.00725593,
        0.00606245,
        0.00591633,
        0.00618894,
        0.00599357,
        0.00592445,
        0.00557768,
        0.00522471,
        0.00541497,
        0.00559608,
        0.00556326,
        0.00564507,
        0.00487944,
        0.00528048,
        0.00552236,
        0.00508917,
        0.00532043,
        0.00524602,
        0.00468289,
        0.00468983,
        0.00523841,
        0.00457509,
        0.00461654,
        0.00600183,
        0.00594848,
        0.00507794,
        0.00515889,
        0.00562506,
        0.00563103,
        0.00529389,
        0.00533641,
        0.00585117,
        0.00506414,
        0.00718582,
        0.00716398,
        0.00690946,
        0.00664106,
        0.00601513,
        0.00544772,
        0.00546022,
        0.00518631,
        0.00482994,
        0.00573167,
        0.00626341,
        0.00727343,
        0.00709751,
        0.00646701,
        0.00616094,
        0.00647176,
        0.00785229,
        0.00981952,
        0.012231,
        0.0105203,
        0.007798,
        0.00690689,
        0.00571846,
        0.00490822,
        0.00526817,
        0.0051524,
        0.00482925,
        0.00503861,
        0.00593294,
        0.00553266,
        0.00462867,
        0.00435639,
        0.00449635,
        0.00485511,
        0.00513002,
        0.00467128,
        0.00545032,
        0.00531712,
        0.00588891,
        0.00751608,
        0.00869081,
        0.0101866,
        0.0106546,
        0.00908508,
        0.00708131,
        0.00617871,
        0.00643141,
        0.00682702,
        0.0069022,
        0.00740358,
        0.00930803,
        0.0111432,
        0.0116118,
        0.0113494,
        0.0119292,
        0.0138728,
        0.0141566,
        0.0114877,
        0.0101898,
        0.0103886,
        0.00903993,
        0.00759215,
        0.00737026,
        0.00743741,
        0.00847551,
        0.00979487,
        0.0111436,
        0.0100934,
        0.0105291,
        0.0120162,
        0.0144929,
        0.020065,
        0.0231192,
        0.02451,
        0.0242633,
        0.0248803,
        0.0256627,
        0.021569,
        0.0167693,
        0.0153396,
        0.0140477,
        0.0124157,
        0.0106625,
        0.0097946,
        0.00911325,
        0.009117,
        0.00814568,
        0.00804806,
        0.00816181,
        0.0074443,
        0.00730489,
        0.00738021,
        0.00730043,
        0.00762091,
        0.00733417,
        0.0065447,
        0.00662644,
        0.00668458,
        0.00599775,
        0.00651968,
        0.00586384,
        0.00635245,
        0.00714087,
        0.00822836,
        0.00931259,
        0.0101636,
        0.0110635,
        0.0118634,
        0.00943772,
        0.00793751,
        0.00882069,
        0.00865789,
        0.00753584,
        0.00662606,
        0.00634878,
        0.00625746,
        0.00570975,
        0.00616747,
        0.00557513,
        0.00598154,
        0.00586146,
        0.00633329,
        0.00747195,
        0.00814882,
        0.00825861,
        0.00806266,
        0.00744922,
        0.0060182,
        0.0065797,
        0.00806473,
        0.00782868,
        0.00763871,
        0.00832147,
        0.00911807,
        0.00946577,
        0.00995353,
        0.0111589,
        0.0128749,
        0.0121783,
        0.0158786,
        0.0172232,
        0.019229,
        0.0213616,
        0.0204894,
        0.0171602,
        0.0164163,
        0.0178919,
        0.0194301,
        0.0196279,
        0.018931,
        0.0154999,
        0.0146499,
        0.0146746,
        0.0152286,
        0.0151411,
        0.012227,
        0.0125448,
        0.00894189,
        0.00709071,
        0.00856165,
        0.00857603,
        0.00934747,
        0.00859672,
        0.00709644,
        0.00663158,
        0.00654164,
        0.00652798,
        0.00615224,
        0.00703111,
        0.0083497,
        0.00837554,
        0.00726458,
        0.0064997,
        0.00623788,
        0.00640631,
        0.00670386,
        0.00423049,
        0.00622514,
        0.00503535,
        0.00508532,
        0.00460314,
        0.00485092,
        0.00579441,
        0.00644537,
        0.00718408,
        0.00792478,
        0.00812143,
        0.00752455,
        0.00673075,
        0.00650129,
        0.00723752,
        0.00845291,
        0.00822927,
        0.00815937,
        0.00864469,
        0.00911128,
        0.00966613,
        0.0119922,
        0.0153569,
        0.0202261,
        0.0216696,
        0.015817,
        0.0123685,
        0.0133587,
        0.0136326,
        0.0125789,
        0.0116069,
        0.0108318,
        0.0104569,
        0.010345,
        0.00889642,
        0.00727905,
        0.00651204,
        0.00709921,
        0.00625883,
        0.00693223,
        0.0071651,
        0.00800315,
        0.00883224,
        0.00811666,
        0.00692454,
        0.00667444,
        0.00651351,
        0.00633427,
        0.0063924,
        0.00561295,
        0.0058703,
        0.00606349,
        0.00617358,
        0.00620759,
        0.0063548,
        0.00691036,
        0.00727959,
        0.00869859,
        0.00969786,
        0.0111681,
        0.0125762,
        0.0125747,
        0.0102569,
        0.00776551,
        0.00673561,
        0.00661746,
        0.00630205,
        0.00634216,
        0.00601352,
        0.00604074,
        0.00618073,
        0.00635702,
        0.0060557,
        0.00602244,
        0.00615556,
        0.00661471,
        0.00773423,
        0.00759751,
        0.00758695,
        0.00652603,
        0.00656209,
        0.00638944,
        0.00775038,
        0.0100283,
        0.0131138,
        0.0141195,
        0.0122877,
        0.0129413,
        0.0152716,
        0.0171494,
        0.0182426,
        0.0150474,
        0.0118132,
        0.0104905,
        0.00811365,
        0.00787138,
        0.00740319,
        0.00683739,
        0.00723167,
        0.0079766,
        0.00742505,
        0.00794932,
        0.0101253,
        0.0112957,
        0.0116402,
        0.00900454,
        0.00835658,
        0.00717224,
        0.00664432,
        0.00675339,
        0.0072435,
        0.00747492,
        0.00722243,
        0.00669288,
        0.00610012,
        0.00691108,
        0.00725227,
        0.00761972,
        0.00737035,
        0.00777229,
        0.00937192,
        0.0112724,
        0.0126436,
        0.0126337,
        0.0118025,
        0.0109777,
        0.00992544,
        0.00925689,
        0.00932355,
        0.00845712,
        0.00830922,
        0.0107199,
        0.0116144,
        0.013321,
        0.0120845,
        0.00971593,
        0.00813538,
        0.00772535,
        0.00840764,
        0.00783291,
        0.00700685,
        0.00644316,
        0.00692139,
        0.00765265,
        0.00986591,
        0.0118357,
        0.0105045,
        0.00885686,
        0.00921075,
        0.0106958,
        0.00852798,
        0.00847755,
        0.00824111,
        0.00952072,
        0.0104535,
        0.0101087,
        0.00955381,
        0.00843584,
        0.00762578,
        0.00742587,
        0.00750692,
        0.00737117,
        0.00743553,
        0.00822045,
        0.00917736,
        0.0101813,
        0.00990694,
        0.0107608,
        0.0106083,
        0.0109743,
        0.0141947,
        0.011805,
        0.00996513,
        0.00848174,
        0.00755046,
        0.00691833,
        0.00682509,
        0.00689,
        0.00642378,
        0.00635253,
        0.00651457,
        0.00654226,
        0.00611713,
        0.00602703,
        0.0065353,
        0.00765644,
        0.00917824,
        0.00895108,
        0.00744111,
        0.00630503,
        0.006322,
        0.00619982,
        0.00679371,
        0.00652955,
        0.00635434,
        0.00710135,
        0.00682294,
        0.00644055,
        0.00683625,
        0.00774258,
        0.00859536,
        0.00847898,
        0.010019,
        0.00908027,
        0.00707745,
        0.00774816,
        0.00818756,
        0.00994444,
        0.0110611,
        0.0140639,
        0.0148531,
        0.0119363,
        0.0101757,
        0.00895839,
        0.00869944,
        0.00859771,
        0.0116088,
        0.0166128,
        0.019949,
        0.0168772,
        0.0105008,
        0.00742963,
        0.00678643,
        0.00728452,
        0.00704161,
        0.00666175,
        0.00615723,
        0.00610258,
        0.0064425,
        0.00720512,
        0.00906015,
        0.0110056,
        0.0106918,
        0.010913,
        0.0110499,
        0.0100274,
        0.00797598,
        0.00681822,
        0.00750465,
        0.00740191,
        0.00683163,
        0.00697011,
        0.00628794,
        0.00725893,
        0.00740254,
        0.00661377,
        0.00649573,
        0.00713297,
        0.00765974,
        0.00933725,
        0.0116011,
        0.0126419,
        0.0115902,
        0.0129949,
        0.0103387,
        0.00756496,
        0.00673612,
        0.00782276,
        0.0073456,
        0.0070018,
        0.00712621,
        0.00749857,
        0.00790938,
        0.00807066,
        0.00790128,
        0.00856338,
        0.00935706,
        0.00889127,
        0.00814374,
        0.00794922,
        0.00843334,
        0.00881839,
        0.00847228,
        0.00930975,
        0.00985646,
        0.0109613,
        0.0146999,
        0.0119858,
        0.0107349,
        0.0126874,
        0.0167093,
        0.020239,
        0.0277292,
        0.0362071,
        0.0296966,
        0.0272287,
        0.0269436,
        0.0321042,
        0.0334136,
        0.0264604,
        0.0174149,
        0.0137542,
        0.0119505,
        0.0108388,
        0.0116767,
        0.0133025,
        0.0149926,
        0.0165507,
        0.0187809,
        0.0134074,
        0.0111402,
        0.0101372,
        0.00932327,
        0.0091023,
        0.00957279,
        0.00935538,
        0.00866695,
        0.00829,
        0.00709391,
        0.00855298,
        0.00807031,
        0.00670296,
        0.00797321,
        0.00685204,
        0.00642434,
        0.0064476,
        0.00656695,
        0.00716457,
        0.00811185,
        0.00827278,
        0.00803953,
        0.0110263,
        0.00822348,
        0.00812235,
        0.00719391,
        0.00810635,
        0.00812716,
        0.00799513,
        0.00753885,
        0.00776953,
        0.00846106,
        0.0079139,
        0.0071041,
        0.007028,
        0.007356,
        0.00644616,
        0.00658143,
        0.00681231,
        0.0068132,
        0.00810242,
        0.0101322,
        0.0124599,
        0.0126692,
        0.00912402,
        0.0064992,
        0.00710977,
        0.00715881,
        0.00911635,
        0.00941371,
        0.0100643,
        0.0096437,
        0.00891166,
        0.00838678,
        0.00895957,
        0.0107388,
        0.0148014,
        0.0213055,
        0.0211311,
        0.0131268,
        0.00823133,
        0.00787489,
        0.00685288,
        0.00787584,
        0.0084348,
        0.0101609,
        0.0109023,
        0.0097178,
        0.00863427,
        0.00792981,
        0.00762588,
        0.00649784,
        0.0069045,
        0.00802573,
        0.00827709,
        0.0107869,
        0.0132664,
        0.0123693,
        0.00930218,
        0.0076216,
        0.00744,
        0.00695316,
        0.00880676,
        0.0107821,
        0.0129165,
        0.011395,
        0.00842241,
        0.00925126,
        0.0081458,
        0.00808011,
        0.0103484,
        0.0121733,
        0.0112935,
        0.00888742,
        0.00771695,
        0.00804859,
        0.00792937,
        0.00727692,
        0.00804114,
        0.0102686,
        0.0092079,
        0.00873718,
        0.00808183,
        0.00712464,
        0.00656299,
        0.0065809,
        0.0076498,
        0.00836124,
        0.00740784,
        0.00867689,
        0.00893269,
        0.00674902,
        0.00671091,
        0.0094109,
        0.0117072,
        0.0123818,
        0.0115786,
        0.0103816,
        0.0103759,
        0.0105629,
        0.00916107,
        0.00760773,
        0.00932076,
        0.00844137,
        0.00677706,
        0.00706005,
        0.00752647,
        0.00738522,
        0.00825319,
        0.0095182,
        0.0112296,
        0.0113489,
        0.0104956,
        0.00819531,
        0.00749548,
        0.00746194,
        0.00703155,
        0.00701453,
        0.0074371,
        0.00766689,
        0.0072911,
        0.00779025,
        0.00746638,
        0.0086865,
        0.0119617,
        0.0104749,
        0.0102997,
        0.0109365,
        0.0109488,
        0.0112263,
        0.0136768,
        0.0183486,
        0.0212153,
        0.0266926,
        0.0223534,
        0.0220234,
        0.0232855,
        0.0226222,
        0.0189106,
        0.0150075,
        0.0130634,
        0.0138106,
        0.0137668,
        0.0124463,
        0.012132,
        0.01282,
        0.0144022,
        0.0146359,
        0.0123247,
        0.00931316,
        0.0084756,
        0.0106819,
        0.0109668,
        0.0100041,
        0.00928709,
        0.00903156,
        0.00843655,
        0.00782292,
        0.0081766,
        0.00795109,
        0.00829293,
        0.008788,
        0.00854324,
        0.0109445,
        0.0134592,
        0.0120608,
        0.00939373,
        0.00834982,
        0.00878167,
        0.0109077,
        0.0164482,
        0.0243481,
        0.0275217,
        0.0160707,
        0.0097039,
        0.00868706,
        0.00803305,
        0.00767622,
        0.0082002,
        0.00788548,
        0.00744782,
        0.00758522,
        0.00717313,
        0.0062543,
        0.00668167,
        0.00699743,
        0.00749317,
        0.00816557,
        0.00759304,
        0.00792336,
        0.00747339,
        0.00731158,
        0.00684248,
        0.00632069,
        0.00677174,
        0.00763997,
        0.00787952,
        0.00816782,
        0.00858765,
        0.0120198,
        0.0156913,
        0.0161162,
        0.0168479,
        0.0143937,
        0.0114448,
        0.00903457,
        0.00728607,
        0.00655369,
        0.00704064,
        0.00771276,
        0.00742668,
        0.00798434,
        0.00932934,
        0.014889,
        0.0168842,
        0.0129745,
        0.00972632,
        0.00787583,
        0.00735391,
        0.00739999,
        0.0071661,
        0.00677615,
        0.00716277,
        0.00871289,
        0.0102716,
        0.00900929,
        0.00712291,
        0.00756862,
        0.00702245,
        0.00771213,
        0.00734075,
        0.00742802,
        0.00739708,
        0.00708182,
        0.00724915,
        0.00768164,
        0.0091744,
        0.0113844,
        0.0129382,
        0.0118122,
        0.00975869,
        0.00870196,
        0.00888587,
        0.00922674,
        0.00861318,
        0.00758292,
        0.00711771,
        0.00676944,
        0.00717842,
        0.00691666,
        0.00721098,
        0.00662087,
        0.0066407,
        0.00612116,
        0.006412,
        0.00685437,
        0.00691034,
        0.0066188,
        0.00655892,
        0.00662927,
        0.00751241,
        0.00767663,
        0.00761666,
        0.00676714,
        0.00639316,
        0.00600738,
        0.00605787,
        0.00737083,
        0.00730534,
        0.00723223,
        0.00674607,
        0.00722358,
        0.00764753,
        0.0101508,
        0.0112141,
        0.00981762,
        0.008449,
        0.00791237,
        0.00771345,
        0.00665753,
        0.00640636,
        0.00697281,
        0.0074923,
        0.00728744,
        0.00768015,
        0.00847522,
        0.0084187,
        0.00753227,
        0.00679891,
        0.00639963,
        0.0066521,
        0.00749027,
        0.00844736,
        0.0116865,
        0.013336,
        0.011356,
        0.0105908,
        0.00986752,
        0.00919919,
        0.00866819,
        0.00783553,
        0.0073397,
        0.00790927,
        0.00769581,
        0.00905582,
        0.00940777,
        0.00926704,
        0.00949001,
        0.00935734,
        0.0109288,
        0.0146345,
        0.0173525,
        0.019391,
        0.0191087,
        0.0154926,
        0.0149021,
        0.0129067,
        0.0131784,
        0.011229,
        0.00950472,
        0.00753823,
        0.00732183,
        0.00738405,
        0.00697658,
        0.00707843,
        0.0075406,
        0.00829484,
        0.00885299,
        0.0105534,
        0.0103194,
        0.00931224,
        0.00788982,
        0.00720025,
        0.00693651,
        0.0069765,
        0.0065343,
        0.00664983,
        0.00704216,
        0.00712302,
        0.00668879,
        0.00578788,
        0.00561794,
        0.00647645,
        0.00702927,
        0.00664273,
        0.00628001,
        0.00698461,
        0.00746044,
        0.00934689,
        0.0113576,
        0.0133009,
        0.012084,
        0.00912446,
        0.00792354,
        0.00704849,
        0.00762498,
        0.00858833,
        0.0104104,
        0.0139919,
        0.0170442,
        0.0159363,
        0.0147051,
        0.0121867,
        0.00828096,
        0.00727852,
        0.0079203,
        0.0071056,
        0.00661674,
        0.00642959,
        0.00750329,
        0.00802144,
        0.00848718,
        0.00762604,
        0.007234,
        0.00697958,
        0.00750654,
        0.00661544,
        0.00645485,
        0.00684858,
        0.00722462,
        0.00719931,
        0.00687741,
        0.00677714,
        0.0065722,
        0.00654929,
        0.00689441,
        0.00705797,
        0.00686814,
        0.00696647,
        0.00764543,
        0.00775278,
        0.00972739,
        0.013879,
        0.0142901,
        0.0118605,
        0.00912982,
        0.00780838,
        0.00752135,
        0.00761706,
        0.0073988,
        0.00726776,
        0.00747688,
        0.00683551,
        0.0065489,
        0.00636596,
        0.00683508,
        0.00779021,
        0.0077743,
        0.00743133,
        0.00761902,
        0.0072153,
        0.00656826,
        0.00683369,
        0.00727415,
        0.00687615,
        0.00708331,
        0.00634799,
        0.0061698,
        0.00637122,
        0.00656828,
        0.00659174,
        0.0063544,
        0.00634727,
        0.00674296,
        0.00756166,
        0.00878699,
        0.010117,
        0.0114523,
        0.00897957,
        0.00784438,
        0.00818563,
        0.00773274,
        0.00761174,
        0.00773545,
        0.00797958,
        0.00817133,
        0.00731484,
        0.00665028,
        0.00686692,
        0.00809762,
        0.00766867,
        0.00693263,
        0.0064126,
        0.00661758,
        0.00648543,
        0.00671144,
        0.0078823,
        0.0114499,
        0.0151511,
        0.0132582,
        0.00947278,
        0.00729455,
        0.00695957,
        0.0064194,
        0.00674314,
        0.00726034,
        0.00783037,
        0.00792048,
        0.0097266,
        0.0123854,
        0.0110463,
        0.00877218,
        0.00783456,
        0.00760641,
        0.00737413,
        0.00757945,
        0.00734197,
        0.00750134,
        0.0083455,
        0.0093075,
        0.0113489,
        0.0136367,
        0.0116208,
        0.00729923,
        0.00892135,
        0.00916437,
        0.00914241,
        0.00952812,
        0.010295,
        0.00997602,
        0.0117149,
        0.0124018,
        0.0113532,
        0.0113137,
        0.0105014,
        0.0105606,
        0.00835774,
        0.00838383,
        0.0105721,
        0.0141205,
        0.0146345,
        0.0124331,
        0.0103726,
        0.00931771,
        0.00943675,
        0.0100003,
        0.0103142,
        0.0113293,
        0.0124758,
        0.0100674,
        0.0113326,
        0.0122546,
        0.0137044,
        0.0146861,
        0.0137984,
        0.0124205,
        0.0127497,
        0.0151551,
        0.017511,
        0.0193296,
        0.0181721,
        0.0139205,
        0.010889,
        0.0100576,
        0.00918372,
        0.00917973,
        0.0084779,
        0.00858903,
        0.00910471,
        0.00957767,
        0.0112746,
        0.0137772,
        0.0145508,
        0.0110366,
        0.00872069,
        0.00865069,
        0.00801513,
        0.00855759,
        0.00816929,
        0.00775163,
        0.00868523,
        0.00818437,
        0.00744083,
        0.00704294,
        0.00752424,
        0.0075273,
        0.00795697,
        0.00786149,
        0.00747488,
        0.00812528,
        0.00735479,
        0.00716029,
        0.00817885,
        0.00814117,
        0.00781965,
        0.00918527,
        0.011553,
        0.0130564,
        0.0146305,
        0.0136479,
        0.0108532,
        0.0086675,
        0.00929065,
        0.00838029,
        0.00890533,
        0.00898046,
        0.00836433,
        0.00859596,
        0.00815913,
        0.00810747,
        0.00985403,
        0.011117,
        0.0100975,
        0.00963852,
        0.01121,
        0.0107229,
        0.0129392,
        0.0155102,
        0.0179479,
        0.023088,
        0.0264135,
        0.0249338,
        0.0239181,
        0.0229854,
        0.0219939,
        0.020095,
        0.0165847,
        0.0139218,
        0.0124258,
        0.0104155,
        0.0101414,
        0.0100136,
        0.00954944,
        0.00970925,
        0.00939537,
        0.00896512,
        0.00855861,
        0.00828176,
        0.00881434,
        0.0096231,
        0.0106669,
        0.0121609,
        0.0123197,
        0.0110791,
        0.0100764,
        0.0101991,
        0.0123244,
        0.0151389,
        0.0156986,
        0.0153453,
        0.0161629,
        0.0193817,
        0.0166016,
        0.0132771,
        0.0130949,
        0.0113914,
        0.0115802,
        0.0129828,
        0.0130539,
        0.0127942,
        0.0131188,
        0.0125886,
        0.0137172,
        0.0153049,
        0.0168514,
        0.0181436,
        0.019769,
        0.0228615,
        0.0284038,
        null,
        0.0235437,
        0.0210525,
        0.0201045,
        0.0190091,
        0.0180995,
        0.0148002,
        0.0124062,
        0.0131838,
        0.0153175,
        0.017899,
        0.0140998,
        0.0138944,
        0.0134738,
        0.0112322,
        0.0115187,
        0.0124679,
        0.0122971,
        0.0126384,
        0.0135705,
        0.0127504,
        0.0110454,
        0.0118231,
        0.0124477,
        0.01073,
        0.0127559,
        0.0166549,
        0.0174498,
        0.0140513,
        0.0115453,
        0.0112832,
        0.0118377,
        0.0130127,
        0.0145811,
        0.014859,
        0.0137346,
        0.0122808,
        0.0142149,
        0.0163015,
        0.0179428,
        0.0212898,
        0.0299453,
        0.0228059,
        0.0170714,
        0.0155542,
        0.0141408,
        0.0126062,
        0.0116018,
        0.0114335,
        0.0122463,
        0.0118743,
        0.0102578,
        0.00943269,
        0.00838075,
        0.00989428,
        0.0110427,
        0.00881392,
        0.00837606,
        0.00819708,
        0.00827993,
        0.00909773,
        0.00888017,
        0.00797995,
        0.00771284,
        0.00742508,
        0.00860707,
        0.00837531,
        0.00676256,
        0.00827932,
        0.00712005,
        0.00772481,
        0.00765123,
        0.0080599,
        0.00792982,
        0.00814664,
        0.00817224,
        0.00827428,
        0.00858293,
        0.00771729,
        0.00739765,
        0.00776193,
        0.00750111,
        0.00704614,
        0.00815968,
        0.00855678,
        0.00929462,
        0.00939192,
        0.00877537,
        0.00843178,
        0.00885331,
        0.00925282,
        0.00918729,
        0.00908058,
        0.00855278,
        0.007672,
        0.00699138,
        0.00736183,
        0.00817343,
        0.00979017,
        0.0110663,
        0.0121227,
        0.0119008,
        0.00940714,
        0.00789768,
        0.00680724,
        0.00797068,
        0.00834619,
        0.00766607,
        0.00735449,
        0.00729665,
        0.00709147,
        0.00701476,
        0.00681463,
        0.00657242,
        0.00719446,
        0.00694376,
        0.00743318,
        0.00708678,
        0.00684295,
        0.00696137,
        0.00671136,
        0.00701777,
        0.00703542,
        0.00816931,
        0.00820934,
        0.00659652,
        0.00626258,
        0.00675575,
        0.00694313,
        0.00646297,
        0.00625294,
        0.00726171,
        0.00751051,
        0.00743174,
        0.00741385,
        0.00726481,
        0.00701212,
        0.00748647,
        0.0073371,
        0.00727554,
        0.00766785,
        0.00820976,
        0.0106114,
        0.0112016,
        0.0129271,
        0.0134424,
        0.0128455,
        0.0103866,
        0.0105641,
        0.0109139,
        0.0100128,
        0.00834537,
        0.00726207,
        0.00800628,
        0.00823124,
        0.00815772,
        0.0102628,
        0.00955082,
        0.00831006,
        0.00984886,
        0.0112888,
        0.0103676,
        0.00907471,
        0.00765775,
        0.0069714,
        0.00661026,
        0.00676288,
        0.00723912,
        0.00687299,
        0.00711715,
        0.00786301,
        0.00682175,
        0.00701205,
        0.00684211,
        0.00735579,
        0.0075165,
        0.00652037,
        0.00726109,
        0.00752615,
        0.00822811,
        0.0084111,
        0.00764584,
        0.00703547,
        0.00689195,
        0.00705806,
        0.00751172,
        0.00743202,
        0.00631104,
        0.0060295,
        0.00615083,
        0.0060461,
        0.00696273,
        0.00663077,
        0.00762318,
        0.00730179,
        0.00690009,
        0.00734899,
        0.00742115,
        0.0068204,
        0.00688178,
        0.00700382,
        0.00661211,
        0.00733084,
        0.00633649,
        0.00696669,
        0.00709266,
        0.00736873,
        0.00690639,
        0.00640857,
        0.00696976,
        0.00688472,
        0.00618838,
        0.00605171,
        0.00688058,
        0.00732477,
        0.00669501,
        0.00610308,
        0.00599834,
        0.00623109,
        0.006865,
        0.00674826,
        0.00764771,
        0.00733441,
        0.00721482,
        0.00729887,
        0.00642815,
        0.00670738,
        0.00721023,
        0.00733791,
        0.00723632,
        0.00725587,
        0.00737096,
        0.00701208,
        0.00707369,
        0.00765308,
        0.00722225,
        0.00810124,
        0.00819976,
        0.00680196,
        0.00663031,
        0.00762983,
        0.00724437,
        0.00666367,
        0.00650102,
        0.00691809,
        0.00725881,
        0.00754439,
        0.00803394,
        0.00693015,
        0.00675725,
        0.00727118,
        0.00617381,
        0.00683515,
        0.0072865,
        0.00843952,
        0.00746627,
        0.00789483,
        0.00813873,
        0.00906497,
        0.00984975,
        0.00893971,
        0.00732736,
        0.00690037,
        0.00743693,
        0.00759586,
        0.00712069,
        0.0073737,
        0.00658285,
        0.00654056,
        0.00582032,
        0.00696158,
        0.00661254,
        0.00656835,
        0.0067647,
        0.00610994,
        0.00631212,
        0.00692633,
        0.00651951,
        0.00640297,
        0.00686585,
        0.00765077,
        0.00794396,
        0.00730049,
        0.00647396,
        0.0072658,
        0.00717916,
        0.0068766,
        0.00691615,
        0.00635116,
        0.00604921,
        0.00596341,
        0.00592279,
        0.00606914,
        0.00635768,
        0.00666209,
        0.00578018,
        0.0058789,
        0.00613616,
        0.00563275,
        0.00627919,
        0.00599229,
        0.00602491,
        0.00549487,
        0.00583622,
        0.00659121,
        0.00660424,
        0.00580043,
        0.00535137,
        0.00520431,
        0.00563401,
        0.00665702,
        0.00667691,
        0.00667388,
        0.00635694,
        0.00718684,
        0.00755887,
        0.00719534,
        0.00836295,
        0.00883126,
        0.0101447,
        0.0098576,
        0.0095147,
        0.00946991,
        0.0086231,
        0.00824555,
        0.00774622,
        0.00698883,
        0.00742213,
        0.00646695,
        0.00636732,
        0.00621048,
        0.00639242,
        0.0072592,
        0.00630744,
        0.00720057,
        0.00723673,
        0.00881167,
        0.0104611,
        0.0134972,
        0.0146584,
        0.0143213,
        0.0160894,
        0.0276381,
        0.022516,
        0.0149372,
        0.0130753,
        0.0112034,
        0.0104669,
        0.00887496,
        0.00801643,
        0.00788568,
        0.00702046,
        0.00669996,
        0.00655657,
        0.00636337,
        0.00829579,
        0.00858625,
        0.00868788,
        0.00778252,
        0.00745421,
        0.00819736,
        0.00760297,
        0.00684212,
        0.00687672,
        0.00701039,
        0.00707227,
        0.00730388,
        0.00780878,
        0.00737427,
        0.00735054,
        0.0076212,
        0.00552528,
        0.00559089,
        0.00571297,
        0.00560499,
        0.00583812,
        0.00561853,
        0.00620707,
        0.0066921,
        0.0061625,
        0.00536054,
        0.00495206,
        0.00543062,
        0.00595013,
        0.00560953,
        0.00543024,
        0.00634009,
        0.00571044,
        0.00542113,
        0.00511535,
        0.00510138,
        0.0054297,
        0.00586734,
        0.0057463,
        0.0056311,
        0.00561018,
        0.00547288,
        0.0058437,
        0.00597968,
        0.0057949,
        0.00596057,
        0.00587853,
        0.00634771,
        0.00616626,
        0.00573943,
        0.00571801,
        0.00571234,
        0.00556765,
        0.00541851,
        0.00583405,
        0.00608977,
        0.00612232,
        0.00594873,
        0.00593023,
        0.00584348,
        0.00572132,
        0.00615292,
        0.00613119,
        0.00575138,
        0.00516143,
        0.00510166,
        0.0061059,
        0.0066459,
        0.00765862,
        0.00810724,
        0.00817369,
        0.00844122,
        0.00747506,
        0.00672941,
        0.00616106,
        0.00594511,
        0.00543417,
        0.00526217,
        0.00559254,
        0.00608069,
        0.0065796,
        0.00606378,
        0.00550559,
        0.00475054,
        0.0061334,
        0.00574925,
        0.00520447,
        0.00514027,
        0.00549781,
        0.0058143,
        0.00632957,
        0.00686025,
        0.00723664,
        0.00781429,
        0.00736806,
        0.00740731,
        0.00718805,
        0.00742059,
        0.00767547,
        0.0064738,
        0.00586158,
        0.00552908,
        0.00555565,
        0.0061261,
        0.00673674,
        0.00795822,
        0.00689576,
        0.00582843,
        0.00576951,
        0.00678656,
        0.00650149,
        0.00672782,
        0.00661477,
        0.00560359,
        0.00583332,
        0.00539924,
        0.00478066,
        0.00466873,
        0.00497566,
        0.00458089,
        0.00520296,
        0.00684368,
        0.00695796,
        0.00767917,
        0.00756981,
        0.00754773,
        0.00822642,
        0.00899365,
        0.010831,
        0.0105228,
        0.00931424,
        0.00850009,
        0.00836846,
        0.00828677,
        0.00769453,
        0.00747401,
        0.00821745,
        0.00968154,
        0.00934643,
        0.00836766,
        0.00667584,
        0.0060538,
        0.00649844,
        0.00632717,
        0.00606901,
        0.00661837,
        0.00811551,
        0.00818366,
        0.00713633,
        0.00611984,
        0.00645873,
        0.00711285,
        0.00600372,
        0.00648534,
        0.00598447,
        0.00605234,
        0.00568787,
        0.00572778,
        0.00592137,
        0.00690165,
        0.00707543,
        0.00780368,
        0.00892798,
        0.00960529,
        0.00931029,
        0.0079692,
        0.00646152,
        0.00594443,
        0.00621135,
        0.00606448,
        0.00715606,
        0.00942689,
        0.00998853,
        0.00933815,
        0.00697339,
        0.00577205,
        0.00522444,
        0.00529751,
        0.00600418,
        0.00616776,
        0.00648121,
        0.00700496,
        0.00740538,
        0.00666268,
        0.00650564,
        0.00664268,
        0.00575476,
        0.00543189,
        0.00537659,
        0.00555466,
        0.00554326,
        0.00580497,
        0.00623144,
        0.00649079,
        0.00609853,
        0.00593712,
        0.00413246,
        0.00415448,
        0.0053014,
        0.00463593,
        0.00496663,
        0.00565995,
        0.00636237,
        0.00638565,
        0.00664868,
        0.00695431,
        0.00797301,
        0.00744483,
        0.00663257,
        0.00575105,
        0.00490304,
        0.0051619,
        0.00530117,
        0.0052931,
        0.00671765,
        0.0082993,
        0.00950182,
        0.00926342,
        0.00763253,
        0.00769251,
        0.00742807,
        0.00764174,
        0.0066654,
        0.00686997,
        0.00600558,
        0.0057615,
        0.00834855,
        0.00811564,
        0.00729181,
        0.00604255,
        0.00563749,
        0.00563368,
        0.00580964,
        0.0057843,
        0.00548904,
        0.00547699,
        0.00714722,
        0.00888286,
        0.00873897,
        0.00762058,
        0.00614133,
        0.00600339,
        0.00540059,
        0.00559092,
        0.00625349,
        0.00616771,
        0.00682594,
        0.00666677,
        0.00703262,
        0.00895171,
        0.00966882,
        0.00972552,
        0.00862591,
        0.00725267,
        0.00673983,
        0.00709492,
        0.00804724,
        0.00816145,
        0.00702089,
        0.00631247,
        0.00585028,
        0.00578217,
        0.00639407,
        0.006632,
        0.0071792,
        0.00641017,
        0.00807397,
        0.0069919,
        0.00655912,
        0.00673454,
        0.00642675,
        0.00613749,
        0.0060324,
        0.00646668,
        0.00711896,
        0.00722966,
        0.00571015,
        0.00552549,
        0.00570036,
        0.00629669,
        0.0089713,
        0.0104945,
        0.00965159,
        0.00847144,
        0.00689796,
        0.00608036,
        0.00546166,
        0.00565217,
        0.00549106,
        0.00592399,
        0.00663159,
        0.00602438,
        0.00777768,
        0.00877798,
        0.00704209,
        0.00589034,
        0.00625738,
        0.00701743,
        0.00803536,
        0.00807077,
        0.00720179,
        0.00703321,
        0.00736609,
        0.00843551,
        0.00910654,
        0.0103411,
        0.0105302,
        0.00821163,
        0.00619183,
        0.00606564,
        0.00682968,
        0.00677442,
        0.0059992,
        0.00517394,
        0.00558697,
        0.00580482,
        0.00470549,
        0.00647974,
        0.00665388,
        0.00905486,
        0.00806134,
        0.00703544,
        0.00574259,
        0.00507156,
        0.00516328,
        0.00537656,
        0.00532561,
        0.00504368,
        0.00514315,
        0.00482197,
        0.00432029,
        0.00474043,
        0.00524791,
        0.00486017,
        0.00454623,
        0.00485255,
        0.00506043,
        0.00510553,
        0.00516544,
        0.00501797,
        0.00510644,
        0.00531378,
        0.0050633,
        0.00428577,
        0.00451238,
        0.00544433,
        0.00521413,
        0.00487358,
        0.00501257,
        0.00592196,
        0.00542337,
        0.00693769,
        0.00737555,
        0.00703427,
        0.0063968,
        0.00576817,
        0.00587415,
        0.00635871,
        0.00766907,
        0.00793184,
        0.00576235,
        0.0044387,
        0.00460038,
        0.00442127,
        0.00500271,
        0.00508789,
        0.00473193,
        0.00549467,
        0.00596198,
        0.00863512,
        0.00746429,
        0.00829492,
        0.00648002,
        0.00683795,
        0.00707484,
        0.00666701,
        0.00496829,
        0.0052241,
        0.00493069,
        0.00508067,
        0.00499771,
        0.00562909,
        0.00750604,
        0.00816774,
        0.00802778,
        0.00694928,
        0.00614923,
        0.00665951,
        0.00653357,
        0.00587384,
        0.00518462,
        0.00529281,
        0.00562439,
        0.0067047,
        0.00613416,
        0.00629722,
        0.00584654,
        0.00526509,
        0.0064619,
        0.00732782,
        0.00683956,
        0.00720945,
        0.00620672,
        0.00581548,
        0.00550071,
        0.00480815,
        0.00648696,
        0.00557947,
        0.00597415,
        0.00616118,
        0.00602821,
        0.00783586,
        0.0186732,
        0.0326496,
        0.0456172,
        0.0187386,
        0.0582085,
        0.111281,
        0.0545496,
        0.0206766,
        0.0125722,
        0.0169041,
        0.0156294,
        0.0184845,
        0.0194592,
        0.0181658,
        0.0223141,
        0.0224953,
        0.0163061,
        0.0220313,
        0.023947,
        0.0234388,
        0.0235144,
        0.0236842,
        0.0182195,
        0.0146603,
        0.0166021,
        0.0184612,
        0.0181021,
        0.0132282,
        0.0114373,
        0.0132676,
        0.0131992,
        0.00864018,
        0.00746794,
        0.00711477,
        0.00723003,
        0.00750014,
        0.00721092,
        0.00731014,
        0.00668131,
        0.00700861,
        0.00745407,
        0.0112613,
        0.0122669,
        0.0103981,
        0.00874156,
        0.00833397,
        0.00950518,
        0.00980584,
        0.00986372,
        0.010031,
        0.0104298,
        0.0107319,
        0.00880647,
        0.00732004,
        0.00718197,
        0.0066216,
        0.00689637,
        0.00760854,
        0.00590274,
        0.00578303,
        0.00706596,
        0.00502213,
        0.0052156,
        0.00669369,
        0.00625665,
        0.0063727,
        0.00606058,
        0.00481327,
        0.00459645,
        0.00544596,
        0.00653458,
        0.00877647,
        0.00944595,
        0.00830411,
        0.00823931,
        0.00870908,
        0.0070614,
        0.00551629,
        0.00525118,
        0.00497107,
        0.00548204,
        0.00451852,
        0.00534056,
        0.00602217,
        0.00633804,
        0.00572344,
        0.00548476,
        0.00578842,
        0.00574748,
        0.00544117,
        0.00658488,
        0.00737962,
        0.00781999,
        0.00723847,
        0.00668271,
        0.00594355,
        0.00681544,
        0.00541005,
        0.00532044,
        0.00539223,
        0.00478114,
        0.00491744,
        0.00699619,
        0.00703598,
        0.00666451,
        0.00691991,
        0.00625081,
        0.00590513,
        0.00601203,
        0.00562868,
        0.00641359,
        0.00792177,
        0.00846997,
        0.00842203,
        0.0068495,
        0.00667986,
        0.00733363,
        0.00885184,
        0.0122335,
        0.0154843,
        0.0125965,
        0.00899047,
        0.00757747,
        0.00898108,
        0.00967685,
        0.00814097,
        0.00831011,
        0.00885454,
        0.011352,
        0.00905113,
        0.0117666,
        0.0141426,
        0.0185232,
        0.0202238,
        0.0216413,
        0.0265438,
        0.0263974,
        0.0235868,
        0.0222359,
        0.0222846,
        0.0192211,
        0.0155688,
        0.0144419,
        0.0152259,
        0.0157766,
        0.0153114,
        0.012746,
        0.00946923,
        0.00685035,
        0.00770428,
        0.00678364,
        0.00763647,
        0.00589559,
        0.00833291,
        0.0081676,
        0.00788818,
        0.00642591,
        0.00555515,
        0.00660545,
        0.00590314,
        0.00545187,
        0.00611679,
        0.00532389,
        0.00622408,
        0.00610476,
        0.00556474,
        0.00576052,
        0.00593175,
        0.00682848,
        0.00872622,
        0.00975444,
        0.0093817,
        0.00797847,
        0.00634224,
        0.00547571,
        0.00632164,
        0.00817722,
        0.00974181,
        0.00995664,
        0.00881578,
        0.00752258,
        0.00595563,
        0.00532506,
        0.00497669,
        0.00507086,
        0.00592082,
        0.00722214,
        0.00697569,
        0.00665706,
        0.00633078,
        0.00614244,
        0.006508,
        0.00717633,
        0.00786725,
        0.00672349,
        0.00703474,
        0.00908292,
        0.0094453,
        0.0085524,
        0.00953115,
        0.00954395,
        0.00877072,
        0.00860426,
        0.00961864,
        0.0098663,
        0.0102046,
        0.00866239,
        0.0076889,
        0.00724119,
        0.00673116,
        0.00690791,
        0.00690239,
        0.00705178,
        0.00645107,
        0.00589648,
        0.0065723,
        0.00644126,
        0.00613662,
        0.0066312,
        0.00650337,
        0.00663785,
        0.00812488,
        0.0079789,
        0.0090714,
        0.00997318,
        0.0106829,
        0.0135236,
        0.0109467,
        0.00903156,
        0.00730986,
        0.00559703,
        0.005482,
        0.00558661,
        0.00584682,
        0.0060404,
        0.00537931,
        0.00533879,
        0.00502889,
        0.00536863,
        0.005448,
        0.00532169,
        0.00527725,
        0.00588008,
        0.00530365,
        0.00497492,
        0.00499234,
        0.00580627,
        0.00705306,
        0.0104784,
        0.0115033,
        0.0104365,
        0.00865787,
        0.00765877,
        0.00686344,
        0.00554475,
        0.00512415,
        0.00516423,
        0.00483204,
        0.00509989,
        0.0055531,
        0.00574382,
        0.00568257,
        0.00466715,
        0.00452536,
        0.00486921,
        0.00451481,
        0.0045817,
        0.00471422,
        0.00496133,
        0.00537361,
        0.00549422,
        0.00567681,
        0.00519716,
        0.00604858,
        0.00645212,
        0.00597552,
        0.00576367,
        0.00647711,
        0.00627753,
        0.00538131,
        0.00570129,
        0.004953,
        0.00512333,
        0.00447161,
        0.00487325,
        0.00505364,
        0.00531087,
        0.00491125,
        0.00461342,
        0.00422739,
        0.00410063,
        0.00450932,
        0.00495771,
        0.00573209,
        0.00563308,
        0.00508101,
        0.00502688,
        0.00484469,
        0.00471321,
        0.00501764,
        0.0048706,
        0.00459114,
        0.00435436,
        0.00453393,
        0.00495019,
        0.00547545,
        0.00572346,
        0.00660416,
        0.00674572,
        0.00613227,
        0.00580844,
        0.00504272,
        0.00494895,
        0.00500207,
        0.00490108,
        0.00474831,
        0.00600637,
        0.00842023,
        0.00987948,
        0.00755559,
        0.0065631,
        0.00520775,
        0.00557917,
        0.00543203,
        0.00549467,
        0.00547556,
        0.0047319,
        0.00482565,
        0.00513182,
        0.00526497,
        0.00533821,
        0.00495178,
        0.00518469,
        0.00520627,
        0.00519542,
        0.00506174,
        0.00572031,
        0.00619558,
        0.00580267,
        0.0052434,
        0.0052727,
        0.00474177,
        0.00428031,
        0.00514782,
        0.00572179,
        0.00550087,
        0.00485467,
        0.00500101,
        0.00551609,
        0.00528749,
        0.00715151,
        0.00960411,
        0.00960072,
        0.00828078,
        0.0075999,
        0.00565459,
        0.00467257,
        0.0042947,
        0.0043502,
        0.00406583,
        0.00442143,
        0.00430631,
        0.00407088,
        0.00388819,
        0.0042737,
        0.00428381,
        0.00441848,
        0.00460228,
        0.00540324,
        0.00705685,
        0.00541507,
        0.00465122,
        0.00514293,
        0.00474355,
        0.00436492,
        0.00572606,
        0.00601271,
        0.00980196,
        0.00880983,
        0.0069246,
        0.00576826,
        0.00482315,
        0.00506476,
        0.00458348,
        0.00452341,
        0.00475896,
        0.00477881,
        0.00459746,
        0.00511932,
        0.00535773,
        0.00480366,
        0.00447928,
        0.0047291,
        0.00498786,
        0.00525627,
        0.0053445,
        0.00590896,
        0.00735665,
        0.00750568,
        0.00701949,
        0.00699599,
        0.0061594,
        0.0060348,
        0.0067735,
        0.00712187,
        0.00681133,
        0.00524398,
        0.00588096,
        0.00517381,
        0.00569146,
        0.00592202,
        0.00607618,
        0.00597866,
        0.00693894,
        0.00617864,
        0.00517186,
        0.00567078,
        0.00575909,
        0.0053692,
        0.00505017,
        0.00557769,
        0.00532771,
        0.00547318,
        0.00496915,
        0.00578384,
        0.00484883,
        0.00544321,
        0.00512077,
        0.00515537,
        0.00600823,
        0.00646333,
        0.00628945,
        0.0074481,
        0.00905309,
        0.0102404,
        0.00753218,
        0.00641084,
        0.00531005,
        0.00522925,
        0.00600785,
        0.00573181,
        0.00608726,
        0.00504577,
        0.0052195,
        0.00527279,
        0.00525134,
        0.00550872,
        0.00508743,
        0.00480494,
        0.0053241,
        0.00561043,
        0.00543821,
        0.00549733,
        0.00570193,
        0.00582366,
        0.00577367,
        0.00659935,
        0.00766006,
        0.00751866,
        0.00696019,
        0.00686107,
        0.00841479,
        0.0107216,
        0.0131335,
        0.0111901,
        0.00929539,
        0.00780693,
        0.00711374,
        0.0060077,
        0.00739353,
        0.00863193,
        0.00911325,
        0.00842249,
        0.00852721,
        0.00958064,
        0.0114319,
        0.0123992,
        0.0161158,
        0.0160997,
        0.027167,
        0.0184087,
        0.0149536,
        0.0129166,
        0.00940608,
        0.0079666,
        0.00747132,
        0.00791046,
        0.00762911,
        0.00678988,
        0.00707204,
        0.00627512,
        0.00551284,
        0.00585862,
        0.00609804,
        0.00558264,
        0.00549297,
        0.00573369,
        0.00613101,
        0.00529485,
        0.00533193,
        0.00488825,
        0.00539517,
        0.00508531,
        0.00449353,
        0.00558957,
        0.00656393,
        0.00621785,
        0.00681825,
        0.00675398,
        0.00603966,
        0.00585117,
        0.00652205,
        0.00870822,
        0.00877992,
        0.00641965,
        0.00595474,
        0.00618714,
        0.00662275,
        0.00635869,
        0.00805774,
        0.0100573,
        0.00899496,
        0.00808566,
        0.00715205,
        0.00663127,
        0.00609923,
        0.00623963,
        0.0068247,
        0.00453538,
        0.00608028,
        0.005678,
        0.00601453,
        0.00551214,
        0.00659264,
        0.00740502,
        0.00622204,
        0.0065236,
        0.00688681,
        0.00650626,
        0.00551509,
        0.00499399,
        0.00535063,
        0.00536501,
        0.00584784,
        0.00690371,
        0.00635487,
        0.00480037,
        0.00429719,
        0.00467593,
        0.00518686,
        0.00508419,
        0.00490597,
        0.00599752,
        0.00641603,
        0.00700318,
        0.00674416,
        0.00825059,
        0.00958003,
        0.0102105,
        0.00928433,
        0.0085575,
        0.00701132,
        0.00681178,
        0.00557251,
        0.00640214,
        0.00567172,
        0.00577739,
        0.00575132,
        0.00634374,
        0.00609974,
        0.00579307,
        0.00539669,
        0.005491,
        0.00644392,
        0.0061725,
        0.00565422,
        0.00556464,
        0.00485667,
        0.00505533,
        0.00514864,
        0.00451406,
        0.00444656,
        0.00478281,
        0.00485428,
        0.00515101,
        0.00681403,
        0.00807,
        0.00649855,
        0.00500884,
        0.00533662,
        0.00576091,
        0.00516029,
        0.00502457,
        0.00520055,
        0.00567089,
        0.00472217,
        0.00420501,
        0.00505056,
        0.0041944,
        0.00393656,
        0.00438941,
        0.00485634,
        0.00500185,
        0.00529694,
        0.00373195,
        0.00383864,
        0.00557321,
        0.00497984,
        0.00550824,
        0.0047936,
        0.0049329,
        0.00502541,
        0.00625591,
        0.00567788,
        0.0047798,
        0.00432118,
        0.00486661,
        0.00493713,
        0.00504186,
        0.00651497,
        0.00751723,
        0.00638286,
        0.00545626,
        0.00483488,
        0.00422149,
        0.00477519,
        0.00519772,
        0.00527468,
        0.00506147,
        0.00494369,
        0.00522102,
        0.00560456,
        0.00523984,
        0.00562052,
        0.00546809,
        0.00570019,
        0.0054524,
        0.00606985,
        0.00608259,
        0.00862099,
        0.00914438,
        0.00927688,
        0.00552705,
        0.00650363,
        0.00609582,
        0.00539595,
        0.00665467,
        0.00455858,
        0.00472606,
        0.0050635,
        0.00666695,
        0.0289602,
        0.0753061,
        0.0669265,
        0.0134962,
        0.00754712,
        0.00520803,
        0.0047506,
        0.00553379,
        0.00569929,
        0.00461923,
        0.00593431,
        0.0063496,
        0.00907707,
        0.0121922,
        0.0145417,
        0.00910071,
        0.0074179,
        0.00683024,
        0.00573073,
        0.00434741,
        0.00499356,
        0.00657654,
        0.00484258,
        0.00688402,
        0.00704498,
        0.00642659,
        0.00555707,
        0.00429612,
        0.00481171,
        0.00421224,
        0.00561748,
        0.00735388,
        0.00799777,
        0.00763237,
        0.00619018,
        0.00530574,
        0.00552518,
        0.00696546,
        0.00571801,
        0.0061204,
        0.00580062,
        0.0047629,
        0.00514417,
        0.0051439,
        0.00462191,
        0.00437574,
        0.00522914,
        0.00543402,
        0.00499176,
        0.00514148,
        0.00464263,
        0.00528303,
        0.00567723,
        0.00513957,
        0.00484829,
        0.00535839,
        0.00625438,
        0.00622035,
        0.005593,
        0.00458447,
        0.00461932,
        0.00520119,
        0.00506393,
        0.00467248,
        0.00434521,
        0.00727215,
        0.0076881,
        0.00763249,
        0.00595126,
        0.00680591,
        0.0058351,
        0.0103472,
        0.0114083,
        0.00651227,
        0.00613168,
        0.00717745,
        0.00616433,
        0.00615576,
        0.00599549,
        0.00660274,
        0.00663312,
        0.00591995,
        0.00613241,
        0.00577479,
        0.00548961,
        0.00536942,
        0.00454159,
        0.00519544,
        0.00661929,
        0.00751109,
        0.00698919,
        0.00640615,
        0.0055124,
        0.00479167,
        0.00507021,
        0.00513277,
        0.00487499,
        0.00522495,
        0.00629666,
        0.0067482,
        0.00584831,
        0.00542634,
        0.00618976,
        0.00683213,
        0.00655029,
        0.0074967,
        0.00800633,
        0.00762917,
        0.00729353,
        0.00862433,
        0.0105712,
        0.010617,
        0.012024,
        0.0100082,
        0.0136339,
        0.015605,
        0.0138358,
        0.0134453,
        0.0117181,
        0.0105855,
        0.0136074,
        0.0169974,
        0.0194745,
        0.0195899,
        0.0258127,
        0.0210334,
        0.0188393,
        0.0151198,
        0.0133737,
        0.0177199,
        0.0166199,
        0.01565,
        0.012414,
        0.00900668,
        0.00752668,
        0.00691737,
        0.00707481,
        0.00707784,
        0.0064502,
        0.00661502,
        0.0062275,
        0.00509193,
        0.00561412,
        0.006145,
        0.00632736,
        0.00596996,
        0.00641102,
        0.00667801,
        0.00599786,
        0.00530169,
        0.00613368,
        0.00644433,
        0.00809595,
        0.0073101,
        0.00637121,
        0.00558706,
        0.00470037,
        0.0055754,
        0.00511002,
        0.00514182,
        0.005195,
        0.00471024,
        0.00447514,
        0.0072812,
        0.00839692,
        0.00774486,
        0.00854422,
        0.0069305,
        0.00495096,
        0.00584288,
        0.00852824,
        0.00703641,
        0.00615936,
        0.00550823,
        0.00400138,
        0.00599526,
        0.00531635,
        0.00528537,
        0.00602222,
        0.00640242,
        0.00592688,
        0.00740575,
        0.00913778,
        0.00834709,
        0.00606777,
        0.00572594,
        0.00625214,
        0.00565991,
        0.00504752,
        0.00505382,
        0.00478621,
        0.00501087,
        0.00534969,
        0.0063207,
        0.00633986,
        0.00524968,
        0.00539131,
        0.00558942,
        0.00537895,
        0.0054115,
        0.00565773,
        0.00573209,
        0.00462792,
        0.00431038,
        0.00572115,
        0.00641435,
        0.00636089,
        0.00715944,
        0.00848961,
        0.00930909,
        0.00904837,
        0.0069946,
        0.00536897,
        0.00607365,
        0.00621202,
        0.00645575,
        0.00731793,
        0.00716359,
        0.0065343,
        0.00646126,
        0.00562148,
        0.00548583,
        0.00585523,
        0.0060519,
        0.00655495,
        0.00699353,
        0.00845794,
        0.0113311,
        0.0146864,
        0.0156253,
        0.0125028,
        0.00917777,
        0.00633691,
        0.00585994,
        0.00563595,
        0.00502615,
        0.00695465,
        0.00713614,
        0.00615405,
        0.00604604,
        0.00592984,
        0.00737422,
        0.00789015,
        0.00771406,
        0.00986287,
        0.0113703,
        0.00789887,
        0.00692921,
        0.00683067,
        0.00643949,
        0.00620479,
        0.00533522,
        0.00515535,
        0.00565972,
        0.00689358,
        0.0059064,
        0.00617422,
        0.00702601,
        0.00492625,
        0.00532861,
        0.00668174,
        0.00756228,
        0.00749446,
        0.01042,
        0.010209,
        0.0069922,
        0.00602313,
        0.00597331,
        0.00549624,
        0.00559616,
        0.00554556,
        0.0046716,
        0.00516211,
        0.00558701,
        0.0049998,
        0.00491409,
        0.00506138,
        0.00546538,
        0.00563306,
        0.00570872,
        0.00544435,
        0.00553593,
        0.00561788,
        0.00507909,
        0.00457951,
        0.00507063,
        0.0061998,
        0.00576674,
        0.00549078,
        0.00494649,
        0.00533043,
        0.00570426,
        0.00515509,
        0.00545737,
        0.0054106,
        0.00526647,
        0.00581893,
        0.00632538,
        0.00669389,
        0.00549256,
        0.00514127,
        0.00596695,
        0.00610787,
        0.00691892,
        0.00864977,
        0.00676811,
        0.00661233,
        0.0069313,
        0.0094536,
        0.0119204,
        0.0100928,
        0.00938503,
        0.00690797,
        0.00645998,
        0.00623445,
        0.00576103,
        0.00565215,
        0.00628093,
        0.0056239,
        0.00574774,
        0.00672518,
        0.00496546,
        0.0060381,
        0.00605712,
        0.00534335,
        0.00521525,
        0.0049705,
        0.00593163,
        0.00547514,
        0.00512565,
        0.00442088,
        0.00605936,
        0.0053001,
        0.00623135,
        0.0061492,
        0.00613545,
        0.00520247,
        0.00546826,
        0.0056619,
        0.00493495,
        0.00477256,
        0.00495437,
        0.00486512,
        0.00480603,
        0.00486289,
        0.00696084,
        0.00647852,
        0.00770723,
        0.00667407,
        0.00540616,
        0.00531396,
        0.00545139,
        0.00446461,
        0.00445408,
        0.0054152,
        0.00472945,
        0.00534863,
        0.00480741,
        0.00486402,
        0.00522872,
        0.00527979,
        0.0053536,
        0.00687771,
        0.00816182,
        0.00809176,
        0.00635879,
        0.00581663,
        0.00502126,
        0.00491254,
        0.00527251,
        0.00568848,
        0.00504883,
        0.00468178,
        0.00519373,
        0.00690254,
        0.00773844,
        0.00798041,
        0.00822319,
        0.00601557,
        0.00504151,
        0.00570738,
        0.0059396,
        0.00549481,
        0.00531757,
        0.00486112,
        0.00424096,
        0.00504954,
        0.00574046,
        0.00669735,
        0.00619978,
        0.00472283,
        0.00540077,
        0.00810657,
        0.0098707,
        0.00826587,
        0.00765803,
        0.00678558,
        0.00737299,
        0.0073144,
        0.00740711,
        0.00756723,
        0.00784845,
        0.00755822,
        0.00844345,
        0.00856036,
        0.0074813,
        0.0088007,
        0.00825403,
        0.00820088,
        0.0100887,
        0.0113465,
        0.0126749,
        0.015923,
        0.0187355,
        0.0225324,
        0.0238022,
        0.0214369,
        0.0226402,
        0.0183904,
        0.0150383,
        0.0186763,
        0.0178865,
        0.0194918,
        0.0168251,
        0.0122573,
        0.00942204,
        0.00843589,
        0.00812841,
        0.0077441,
        0.00859253,
        0.00843107,
        0.00652338,
        0.00741385,
        0.008458,
        0.00916914,
        0.00913952,
        0.009184,
        0.00742653,
        0.00610527,
        0.00624499,
        null,
        0.00551394,
        0.00622166,
        0.00692937,
        0.00756025,
        0.00728386,
        0.00843557,
        0.0082835,
        0.0076728,
        0.00850406,
        0.00851731,
        0.00736609,
        0.00727639,
        0.00797838,
        0.00820254,
        0.00966142,
        0.00902582,
        0.0085936,
        0.0121535,
        0.0136831,
        0.0112079,
        0.00910448,
        0.00853853,
        0.00851515,
        0.00883542,
        0.0107459,
        0.0137169,
        0.0150206,
        0.0144541,
        0.0111794,
        0.00861357,
        0.00715005,
        0.00775844,
        0.0084407,
        0.0078489,
        0.00714141,
        0.00724785,
        0.00763694,
        0.00722288,
        0.00619937,
        0.00625917,
        0.00747093,
        0.00651272,
        0.00748377,
        0.00718779,
        0.00746776,
        0.00662933,
        0.00678761,
        0.00754959,
        0.00781782,
        0.00731256,
        0.00687111,
        0.0075779,
        0.00841592,
        0.00792483,
        0.00802393,
        0.00774799,
        0.0105294,
        0.00967965,
        0.0122103,
        0.0123079,
        0.0101181,
        0.00830194,
        0.00734831,
        0.00737,
        0.00785713,
        0.00681313,
        0.00648228,
        0.00663944,
        0.006226,
        0.00727935,
        0.00821032,
        0.00947305,
        0.00899076,
        0.00753076,
        0.00701514,
        0.00718203,
        0.00686983,
        0.00695627,
        0.00755369,
        0.00656414,
        0.00609739,
        0.00584475,
        0.00604426,
        0.00638157,
        0.00657971,
        0.00724101,
        0.00825994,
        0.00808836,
        0.00711555,
        0.00796034,
        0.00902243,
        0.00887726,
        0.00924609,
        0.0109689,
        0.00970139,
        0.00759199,
        0.00643027,
        0.00609744,
        0.00673279,
        0.00872109,
        0.0121869,
        0.0137582,
        0.00982791,
        0.00966989,
        0.00687474,
        0.00694236,
        0.00763161,
        0.00639475,
        0.00678294,
        0.00682426,
        0.00643604,
        0.00717035,
        0.00741173,
        0.00637901,
        0.00635859,
        0.00687301,
        0.00725931,
        0.00721956,
        0.00731098,
        0.00516394,
        0.00701707,
        0.00698764,
        0.00635418,
        0.00656589,
        0.0066766,
        0.00665747,
        0.00721002,
        0.00782814,
        0.00791691,
        0.00675461,
        0.00808286,
        0.00749178,
        0.00801234,
        0.0104123,
        0.0104993,
        0.00941267,
        0.0109958,
        0.0115238,
        0.00873646,
        0.00712255,
        0.00861093,
        0.00845141,
        0.00777641,
        0.00793624,
        0.00688408,
        0.00712025,
        0.00690298,
        0.00663606,
        0.00731887,
        0.00765229,
        0.00728556,
        0.00700484,
        0.00706609,
        0.00688013,
        0.00628364,
        0.00665742,
        0.005613,
        0.00547358,
        0.00632498,
        0.00677496,
        0.00755661,
        0.00711789,
        0.00816299,
        0.0108412,
        0.0117058,
        0.0103897,
        0.00973682,
        0.00852728,
        0.00725146,
        0.00849807,
        0.00766359,
        0.0090276,
        0.00769565,
        0.00773879,
        0.0092072,
        0.0118564,
        0.0122801,
        0.0109861,
        0.00933366,
        0.00711197,
        0.00820536,
        0.00813795,
        0.0118081,
        0.0120479,
        0.00957334,
        0.00788713,
        0.00803051,
        0.00873212,
        0.0100823,
        0.0113292,
        0.0108334,
        0.00895063,
        0.007801,
        0.00808027,
        0.00912341,
        0.00863184,
        0.00971683,
        0.0089276,
        0.00869129,
        0.00901748,
        0.00962965,
        0.0104135,
        0.00966486,
        0.00840748,
        0.00855237,
        0.0100318,
        0.0119919,
        0.0140436,
        0.0198426,
        0.0320368,
        0.0188659,
        0.0160589,
        0.0115622,
        0.0106429,
        0.0105578,
        0.00855823,
        0.00885675,
        0.00859933,
        0.00910309,
        0.0101866,
        0.009078,
        0.00709566,
        0.00681365,
        0.00740984,
        0.00725653,
        0.00720263,
        0.00633845,
        0.00703687,
        0.00690256,
        0.00730316,
        0.0068758,
        0.00751847,
        0.00756491,
        0.00677496,
        0.00676551,
        0.00700489,
        0.00669164,
        0.00614958,
        0.00581719,
        0.00676475,
        0.00595707,
        0.00729264,
        0.00910013,
        0.0100639,
        0.00993242,
        0.00948176,
        0.00874,
        0.00801116,
        0.00905501,
        0.0110971,
        0.0110564,
        0.00884595,
        0.00791075,
        0.00810006,
        0.00817186,
        0.00639256,
        0.00668948,
        0.0109722,
        0.0147316,
        0.0136248,
        0.00968248,
        0.00747419,
        0.00685206,
        0.00638795,
        0.0064022,
        0.0067721,
        0.00664017,
        0.00541002,
        0.00577309,
        0.00510428,
        0.00616943,
        0.00739211,
        0.00692648,
        0.00647051,
        0.00559336,
        0.00660909,
        0.00697168,
        0.00654965,
        0.00745113,
        0.0060554,
        0.0057983,
        0.00685076,
        0.00620822,
        0.00590079,
        0.00812896,
        0.0080296,
        0.00753386,
        0.00634073,
        0.00623539,
        0.00737077,
        0.00765643,
        0.00826004,
        0.0105347,
        0.0110585,
        0.0122012,
        0.0102883,
        0.00970367,
        0.00803479,
        0.00885063,
        0.0101906,
        0.0113029,
        0.011941,
        0.0106752,
        0.00906369,
        0.00832787,
        0.00777567,
        0.00757015,
        0.00829049,
        0.00834989,
        0.00704517,
        0.00779187,
        0.0098265,
        0.00814944,
        0.00910011,
        0.00817863,
        0.00767978,
        0.00820768,
        0.00911012,
        0.00910631,
        0.00831164,
        0.00951295,
        0.0122613,
        0.0110781,
        0.0101868,
        0.0101195,
        0.00952308,
        0.0127495,
        0.017659,
        0.0176214,
        0.0189277,
        0.019461,
        0.017202,
        0.0145129,
        0.0131333,
        0.0126793,
        0.0123855,
        0.00983503,
        0.0116047,
        0.0104377,
        0.0125121,
        0.0136398,
        0.0113034,
        0.0115709,
        0.0133627,
        0.0146561,
        0.0151924,
        0.0151986,
        0.0154529,
        0.0174177,
        0.0224286,
        0.0318904,
        0.0383788,
        0.0509334,
        0.220104,
        0.080172,
        0.0354,
        0.0278628,
        0.0238655,
        0.0307569,
        0.028912,
        0.0209516,
        0.0181079,
        0.0176159,
        0.0140676,
        0.0126124,
        0.0107573,
        0.00868398,
        0.0080762,
        0.00810576,
        0.00749067,
        0.00729931,
        0.008452,
        0.00905112,
        0.00807455,
        0.00648112,
        0.00755074,
        0.00791293,
        0.00691682,
        0.00972915,
        0.0124268,
        0.0119358,
        0.0104106,
        0.00851215,
        0.00680001,
        0.00662323,
        0.00701946,
        0.0069009,
        0.0061274,
        0.00784894,
        0.00752666,
        0.00663064,
        0.00807461,
        0.0069201,
        0.00583126,
        0.00604299,
        0.00647716,
        0.00710338,
        0.00747236,
        0.0089036,
        0.0118305,
        0.0121746,
        0.0111079,
        0.0128151,
        0.0120277,
        0.0131675,
        0.00954501,
        0.00767631,
        0.00659177,
        0.00669587,
        0.0072796,
        0.00708297,
        0.00604574,
        0.00552675,
        0.0058697,
        0.00579935,
        0.00574511,
        0.00634668,
        0.00675804,
        0.00638095,
        0.00649917,
        0.00807914,
        0.0067634,
        0.00801315,
        0.00874375,
        0.0100811,
        0.0101581,
        0.00869625,
        0.00812551,
        0.00831786,
        0.00769454,
        0.00807423,
        0.0100461,
        0.00958041,
        0.00765241,
        0.00690255,
        0.00633798,
        0.00611587,
        0.00672832,
        0.00621297,
        0.00596312,
        0.00641794,
        0.00680353,
        0.0066972,
        0.00620985,
        0.00595897,
        0.0062383,
        0.00656356,
        0.00650335,
        0.00712447,
        0.00660944,
        0.00559941,
        0.00621084,
        0.00569896,
        0.00527932,
        0.00611057,
        0.00682977,
        0.00661135,
        0.00674261,
        0.00741123,
        0.00727837,
        0.00824171,
        0.00736294,
        0.00799873,
        0.0082027,
        0.00661107,
        0.00703426,
        0.00775898,
        0.00740744,
        0.00710321,
        0.00847127,
        0.00882477,
        0.00817799,
        0.00833826,
        0.00897078,
        0.0107868,
        0.00879424,
        0.00821134,
        0.00807022,
        0.0074773,
        0.0069919,
        0.00660254,
        0.00792298,
        0.00833954,
        0.00755215,
        0.00914701,
        0.0113652,
        0.0105772,
        0.00843509,
        0.00763578,
        0.00706734,
        0.00774608,
        0.00641729,
        0.00599177,
        0.00612203,
        0.00716607,
        0.00626526,
        0.00596602,
        0.00682515,
        0.00634678,
        0.00645954,
        0.00692542,
        0.00697619,
        0.0068803,
        0.00630733,
        0.00588587,
        0.00650169,
        0.00549908,
        0.00676121,
        0.00668154,
        0.00691333,
        0.00687623,
        0.00680008,
        0.0068132,
        0.00765902,
        0.00721786,
        0.0072777,
        0.00729815,
        0.00615562,
        0.00632138,
        0.00729267,
        0.00835493,
        0.0110434,
        0.0118077,
        0.00966711,
        0.00869791,
        0.00925265,
        0.00788776,
        0.00745108,
        0.0081409,
        0.00695955,
        0.00726059,
        0.00860086,
        0.00804662,
        0.00827671,
        0.0079558,
        0.0125946,
        0.0142692,
        0.0118353,
        0.0106044,
        0.0106291,
        0.0095978,
        0.00831272,
        0.00785132,
        0.0080389,
        0.00798626,
        0.00773452,
        0.00813821,
        0.00755958,
        0.00748699,
        0.00987286,
        0.0122883,
        0.0150271,
        0.012737,
        0.013294,
        0.0112416,
        0.0102586,
        0.00858092,
        0.00761214,
        0.00819906,
        0.00796039,
        0.00679912,
        0.00642953,
        0.00654278,
        0.00751339,
        0.0064566,
        0.00643602,
        0.00714561,
        0.00610435,
        0.00618784,
        0.00681761,
        0.00681397,
        0.00726247,
        0.00757334,
        0.00753425,
        0.00667023,
        0.00608765,
        0.006549,
        0.00608224,
        0.00652203,
        0.00724893,
        0.00792938,
        0.00945563,
        0.00785951,
        0.00715349,
        0.00726784,
        0.00715157,
        0.00685334,
        0.00634521,
        0.00679255,
        0.00712746,
        0.00729204,
        0.00746134,
        0.00705394,
        0.00747799,
        0.00735125,
        0.00899376,
        0.011627,
        0.00892339,
        0.0076545,
        0.00834859,
        0.00707358,
        0.00641217,
        0.0062797,
        0.00646988,
        0.00730638,
        0.0070086,
        0.00637312,
        0.00716555,
        0.00771436,
        0.0074922,
        0.00807453,
        0.00693472,
        0.00853644,
        0.0071923,
        0.00770835,
        0.00844461,
        0.00819995,
        0.00848266,
        0.00791239,
        0.00709913,
        0.00613502,
        0.00597458,
        0.00743133,
        0.00846104,
        0.00785528,
        0.00922159,
        0.0126247,
        0.0116738,
        0.0101807,
        0.00817382,
        0.00686411,
        0.00661693,
        0.00720363,
        0.00716405,
        0.00796075,
        0.00763735,
        0.00727449,
        0.00798429,
        0.00901249,
        0.00929826,
        0.00893828,
        0.0087765,
        0.00799354,
        0.00831517,
        0.00812705,
        0.00756915,
        0.00830171,
        0.0107432,
        0.00981636,
        0.0109349,
        0.00965989,
        0.0101608,
        0.0139719,
        0.0185726,
        0.022474,
        0.0233138,
        0.0184972,
        0.0123824,
        0.0115502,
        0.0120951,
        0.0124722,
        0.0153166,
        0.0191143,
        0.0196978,
        0.0195625,
        0.0192202,
        0.015532,
        0.0143951,
        0.0134727,
        0.0130753,
        0.010338,
        0.0126975,
        0.012807,
        0.0166273,
        0.0161203,
        0.0158533,
        0.015729,
        0.0142824,
        0.013123,
        0.0146299,
        0.0150914,
        0.0140301,
        0.0174096,
        0.0178907,
        0.0190132,
        0.0198502,
        0.0204741,
        0.0188233,
        0.021081,
        0.0262269,
        0.0299465,
        0.0310091,
        0.0304077,
        null,
        0.0174757,
        0.0154463,
        0.0148604,
        0.0107487,
        0.0111601,
        0.0111688,
        0.01129,
        0.00948766,
        0.009871,
        0.00955507,
        0.00878238,
        0.00903108,
        0.00957361,
        0.0109085,
        0.0111048,
        0.00814162,
        0.00969182,
        0.0078423,
        0.00941185,
        0.0108221,
        0.00877479,
        0.00752467,
        0.0107288,
        0.0128569,
        0.0133385,
        0.01305,
        0.0114735,
        0.00925742,
        0.00770231,
        0.00750585,
        0.00804371,
        0.00899324,
        0.0103909,
        0.00862855,
        0.00810231,
        0.00849793,
        0.00928498,
        0.0095828,
        0.00751557,
        0.0075839,
        0.00617678,
        0.00678905,
        0.00710486,
        0.00664025,
        0.00733318,
        0.00807888,
        0.00726482,
        0.0065198,
        0.00683292,
        0.00674962,
        0.00674252,
        0.00669416,
        0.00668783,
        0.00901402,
        0.00857578,
        0.0079793,
        0.00818136,
        0.00771671,
        0.00698525,
        0.00680369,
        0.00760217,
        0.00757195,
        0.00679848,
        0.00692303,
        0.00711281,
        0.00668454,
        0.00679728,
        0.00703951,
        0.00709441,
        0.0079472,
        0.00681929,
        0.00602333,
        0.00904995,
        0.00995258,
        0.0102977,
        0.00896341,
        0.0076562,
        0.00637417,
        0.00636158,
        0.00758952,
        0.00787876,
        0.00741541,
        0.0068928,
        0.00712405,
        0.00760539,
        0.00703035,
        0.00748827,
        0.00628149,
        0.00646669,
        0.00699628,
        0.00616625,
        0.00811179,
        0.00641621,
        0.00606253,
        0.00687343,
        0.00693253,
        0.00607802,
        0.00693929,
        0.00804021,
        0.00834339,
        0.0072182,
        0.00666417,
        0.00789154,
        0.00923843,
        0.0122918,
        0.0140241,
        0.0115338,
        0.00977341,
        0.0101739,
        0.0102544,
        0.0103774,
        0.0121359,
        0.0116641,
        0.0151563,
        0.0156087,
        0.0219774,
        0.0252075,
        0.0195206,
        0.0148226,
        0.0118216,
        0.012643,
        0.0135487,
        0.013,
        0.0106749,
        0.00861612,
        0.0101757,
        0.00866916,
        0.00880591,
        0.00736443,
        0.0066959,
        0.00682168,
        0.00694271,
        0.00772004,
        0.0085587,
        0.008311,
        0.00916336,
        0.0108577,
        0.012125,
        0.0136803,
        0.0132729,
        0.0118547,
        0.00783258,
        0.00909575,
        0.00969529,
        0.0104868,
        0.0115904,
        0.00896042,
        0.00847568,
        0.00848808,
        0.00756212,
        0.00742534,
        0.007925,
        0.00746074,
        0.00690165,
        0.00773125,
        0.00829428,
        0.0072511,
        0.00684367,
        0.00759778,
        0.00742912,
        0.00848427,
        0.0112522,
        0.0132952,
        0.0106609,
        0.00732224,
        0.0066685,
        0.00708762,
        0.0074189,
        0.00805971,
        0.0070992,
        0.00672417,
        0.00755341,
        0.0083495,
        0.00838852,
        0.00688867,
        0.00629182,
        0.00778409,
        0.00696841,
        0.00897174,
        0.010743,
        0.00837651,
        0.008324,
        0.0084008,
        0.00678568,
        0.00707185,
        0.0072993,
        0.00742192,
        0.00765903,
        0.00841752,
        0.00872353,
        0.0090833,
        0.00917022,
        0.00916338,
        0.00916696,
        0.00897879,
        0.00888249,
        0.00880185,
        0.00930926,
        0.00939305,
        0.00840679,
        0.00958474,
        0.00926457,
        0.00956502,
        0.0110585,
        0.00954875,
        0.0089131,
        0.00875883,
        0.00860776,
        0.00796242,
        0.00733104,
        0.00715785,
        0.00741823,
        0.00947291,
        0.0123075,
        0.0128268,
        0.0116089,
        0.00960595,
        0.00822206,
        0.00862796,
        0.00922729,
        0.00890751,
        0.0088977,
        0.00839586,
        0.00899704,
        0.00952012,
        0.0100199,
        0.0109001,
        0.0101632,
        0.00979369,
        0.011173,
        0.012896,
        0.0142786,
        0.014191,
        0.0133641,
        0.0145354,
        0.0171176,
        0.0191398,
        0.0176521,
        0.0195751,
        0.0250334,
        0.0325527,
        0.0385935,
        0.0319895,
        0.0248831,
        0.0206054,
        0.020053,
        0.018108,
        0.0162595,
        0.0158388,
        0.0151344,
        0.0137573,
        0.0121254,
        0.0127605,
        null,
        0.00672897,
        0.00671777,
        0.00670657,
        0.00691873,
        0.00732728,
        0.00688995,
        0.00604274,
        0.00679365,
        0.00738138,
        0.00692477,
        0.0077574,
        0.00722833,
        0.00633148,
        0.0059561,
        0.00652732,
        0.00652827,
        0.00682878,
        0.00777845,
        0.00935634,
        0.00865153,
        0.00721775,
        0.00616865,
        0.00594206,
        0.0058038,
        0.00518232,
        0.00508967,
        0.00585967,
        0.00682691,
        0.00700297,
        0.00622251,
        0.00635056,
        0.00653923,
        0.00755395,
        0.00759922,
        0.00703636,
        0.0065312,
        0.00746393,
        0.00690396,
        0.00798303,
        0.00613751,
        0.0074031,
        0.00736101,
        0.00775128,
        0.00731675,
        0.0105705,
        0.0114808,
        0.00911216,
        0.00797998,
        0.00828508,
        0.00828038,
        0.00808673,
        0.00798937,
        0.00820927,
        0.00897633,
        0.00957968,
        0.0105469,
        0.0121864,
        0.0120165,
        0.0113143,
        0.0123893,
        0.0127239,
        0.0131682,
        0.0176401,
        0.0199348,
        0.022462,
        0.0372166,
        0.0250492,
        0.020196,
        0.0161017,
        0.0141956,
        0.012216,
        0.0112481,
        0.0103075,
        0.00936865,
        0.00997647,
        0.00967643,
        0.00856166,
        0.00855685,
        0.00914936,
        0.00888252,
        0.00758578,
        0.00862148,
        0.00828751,
        0.00742847,
        0.00801844,
        0.00744837,
        0.0104478,
        0.00919464,
        0.0100997,
        0.011509,
        0.0134543,
        0.0136897,
        0.0107685,
        0.00823521,
        0.00798568,
        0.00682016,
        0.00701438,
        0.00893427,
        0.0109003,
        0.010196,
        0.00840055,
        0.00779255,
        0.00680078,
        0.00654773,
        0.00726223,
        0.00750509,
        0.00847639,
        0.0084923,
        0.00802882,
        0.00751387,
        0.0076518,
        0.00800184,
        0.0085991,
        0.00798226,
        0.0102334,
        0.00970611,
        0.00993378,
        0.00962835,
        0.00787431,
        0.00703658,
        0.00741516,
        0.00774278,
        0.00714375,
        0.00785951,
        0.00866581,
        0.00944894,
        0.0105859,
        0.0110961,
        0.0102032,
        0.0099612,
        0.0120701,
        0.0123609,
        0.00908327,
        0.00779359,
        0.00820543,
        0.00763859,
        0.00642207,
        0.00672142,
        0.00690821,
        0.00714895,
        0.00740045,
        0.00776844,
        0.00728675,
        0.00727588,
        0.0062825,
        0.00682316,
        0.00715695,
        0.00716669,
        0.00662989,
        0.00708097,
        0.00808315,
        0.00989724,
        0.00870975,
        0.00746728,
        0.00752918,
        0.00785771,
        0.00776765,
        0.0073506,
        0.00795997,
        0.00851018,
        0.00865788,
        0.00989467,
        0.0106017,
        0.00949181,
        0.00709039,
        0.00693444,
        0.00644273,
        0.00689319,
        0.00632268,
        0.00704071,
        0.00700702,
        0.00686453,
        0.00737834,
        0.00723529,
        0.00654677,
        0.00654611,
        0.00654591,
        0.00571199,
        0.00600484,
        0.00643494,
        0.00681601,
        0.00682606,
        0.00661292,
        0.00656514,
        0.00720139,
        0.00795653,
        0.00740934,
        0.00663331,
        0.00679147,
        0.00703956,
        0.00758317,
        0.00661311,
        0.00599408,
        0.0067207,
        0.00682289,
        0.00861509,
        0.00715432,
        0.00705019,
        0.00709161,
        0.00809064,
        0.00889462,
        0.00692802,
        0.00627214,
        0.00616826,
        0.00641954,
        0.00597845,
        0.00741134,
        0.0068383,
        0.00615512,
        0.00647711,
        0.00693014,
        0.00756462,
        0.00952275,
        0.00962519,
        0.00838679,
        0.00830179,
        0.00834346,
        0.00855554,
        0.00860939,
        0.00740473,
        0.00722629,
        0.00762689,
        0.00769306,
        0.00793071,
        0.00947994,
        0.00969896,
        0.0107316,
        0.0125065,
        0.0153476,
        0.0125414,
        0.0126104,
        0.0122245,
        0.0115996,
        0.0127694,
        0.012001,
        0.0131325,
        0.0135914,
        0.0176228,
        0.0202488,
        0.022978,
        0.0338204,
        0.0228772,
        0.0174776,
        0.0173066,
        0.0178351,
        0.017899,
        0.0145223,
        0.0114865,
        0.0114464,
        0.0122189,
        0.00876488,
        0.00851945,
        0.00740988,
        0.00945307,
        0.00869661,
        0.00849808,
        0.00934025,
        0.00932955,
        0.00715117,
        0.0077539,
        0.00721409,
        0.00992468,
        0.0092064,
        0.00953555,
        0.00915132,
        0.00983938,
        0.0111547,
        0.011462,
        0.0124437,
        0.0120523,
        0.0122444,
        0.0138073,
        0.0181579,
        0.0166881,
        0.0147884,
        0.0138668,
        0.0126858,
        0.0104034,
        0.00929697,
        0.0109983,
        0.0133472,
        0.0112494,
        0.00855387,
        0.00969118,
        0.00790893,
        0.00737973,
        0.00676213,
        0.0072069,
        0.00783523,
        0.00753837,
        0.00800079,
        0.00791716,
        0.00713702,
        0.0065428,
        0.00623829,
        0.00733816,
        0.00631178,
        0.00661648,
        0.00691514,
        0.00572663,
        0.00737229,
        0.006818,
        0.00785526,
        0.0074495,
        0.00716849,
        0.00868666,
        0.00981364,
        0.00810613,
        0.00621446,
        0.00647615,
        0.0063698,
        0.00598682,
        0.00672151,
        0.00725425,
        0.00714104,
        0.00684894,
        0.00639406,
        0.00648262,
        0.00683591,
        0.00690235,
        0.00747532,
        0.00687378,
        0.00637018,
        0.00702926,
        0.00751499,
        0.00802843,
        0.00676032,
        0.00716965,
        0.00602408,
        0.0054915,
        0.00560558,
        0.00626085,
        0.00873794,
        0.0111592,
        0.0108093,
        0.00771561,
        0.00666589,
        0.00689096,
        0.00807094,
        0.00740564,
        0.00873287,
        0.00883047,
        0.00859855,
        0.007751,
        0.00831393,
        0.00739347,
        0.00731898,
        0.00756585,
        0.00728639,
        0.00787323,
        0.00987543,
        0.0113875,
        0.0101964,
        0.00868515,
        0.00807528,
        0.0078531,
        0.0072944,
        0.00758814,
        0.00773299,
        0.00936001,
        0.00822034,
        0.00696533,
        0.00813491,
        0.00915193,
        0.00944658,
        0.00915118,
        0.008002,
        0.0100472,
        0.00870507,
        0.00842019,
        0.00978826,
        0.0100537,
        0.0110334,
        0.0103629,
        0.0118381,
        0.0120742,
        0.0108297,
        0.0116176,
        0.0109024,
        0.010556,
        0.0138427,
        0.0148029,
        0.011925,
        0.0114828,
        0.00959358,
        0.00803125,
        0.00899719,
        0.0081768,
        0.0117634,
        0.0117125,
        0.010089,
        0.00942699,
        0.00776318,
        0.00799671,
        0.00876302,
        0.00946194,
        0.00894662,
        0.00855253,
        0.00869559,
        0.00808089,
        0.00756188,
        0.0071034,
        0.00767677,
        0.00837594,
        0.00874001,
        0.00806219,
        0.00758038,
        0.00793978,
        0.00837282,
        0.00852698,
        0.00789045,
        0.00736961,
        0.00809235,
        0.00838124,
        0.0071073,
        0.00778964,
        0.00731431,
        0.00731095,
        0.00789798,
        0.00826645,
        0.00913145,
        0.0079283,
        0.00943433,
        0.0124343,
        0.0121163,
        0.00986684,
        0.010062,
        0.0112253,
        0.0116282,
        0.00904951,
        0.0091231,
        0.00851909,
        0.00860267,
        0.0075941,
        0.0092336,
        0.0083608,
        0.00930719,
        0.00763446,
        0.00879132,
        0.0073328,
        0.00671501,
        0.00695421,
        0.00848609,
        0.00867452,
        0.00883327,
        0.00861226,
        0.00735718,
        0.00767645,
        0.00858365,
        0.00800789,
        0.00745953,
        0.00782396,
        0.00786847,
        0.00858689,
        0.0107989,
        0.0115721,
        0.0113164,
        0.0113628,
        0.0101072,
        0.00867478,
        0.00821453,
        0.00973227,
        0.0081484,
        0.0080324,
        0.00865741,
        0.00886184,
        0.0105128,
        0.00985889,
        0.0086255,
        0.00744239,
        0.00858988,
        0.00843634,
        0.00867998,
        0.0078745,
        0.00666738,
        0.00689278,
        0.00835946,
        0.00885045,
        0.00971485,
        0.00914419,
        0.00890284,
        0.00907036,
        0.0105277,
        0.0119491,
        0.0135193,
        0.0131416,
        0.0106219,
        0.0093674,
        0.00845101,
        0.00850852,
        0.00947155,
        0.00851065,
        0.00820236,
        0.00852943,
        0.00780599,
        0.00742475,
        0.0069457,
        0.00693535,
        0.00906416,
        0.0103877,
        0.0089193,
        0.00862417,
        0.0078497,
        0.00750843,
        0.00817935,
        0.00800531,
        0.00874622,
        0.0098138,
        0.0101758,
        0.0100049,
        0.010205,
        0.0112417,
        0.0116032,
        0.0102405,
        0.0088829,
        0.0089323,
        0.00802779,
        0.00900192,
        0.00948964,
        0.00706375,
        0.00962669,
        0.00938552,
        0.0114234,
        0.0102857,
        0.0117778,
        0.0112733,
        0.0106632,
        0.0104153,
        0.0098876,
        0.0103516,
        0.0115182,
        0.0104409,
        0.0122262,
        0.015367,
        0.0164078,
        0.0186653,
        0.0178706,
        0.0186602,
        0.0191117,
        0.0173545,
        0.0162996,
        0.015915,
        0.0163791,
        0.017449,
        0.0192846,
        0.0196053,
        0.0174834,
        0.0185202,
        0.0231556,
        0.0351285,
        0.0247726,
        0.0209138,
        0.0199216,
        0.0188856,
        0.0205207,
        0.0226537,
        0.0227202,
        0.0231618,
        0.0206114,
        0.0190318,
        0.0131741,
        0.0157071,
        0.0123026,
        0.010714,
        0.0101465,
        0.0123434,
        0.0122412,
        0.0130034,
        0.011215,
        0.010968,
        0.0105216,
        0.0111107,
        0.0117845,
        0.0111423,
        0.0121251,
        0.0142001,
        0.0145154,
        0.0141459,
        0.0172208,
        0.0243229,
        0.0258054,
        0.0209598,
        0.0188204,
        0.0181397,
        0.0169439,
        0.0150622,
        0.0141426,
        0.0145638,
        0.0145521,
        0.0170726,
        0.0206158,
        0.0194591,
        0.0189715,
        0.0203935,
        0.0197539,
        0.0181044,
        0.0173854,
        0.0214204,
        0.0216996,
        0.0249112,
        0.0302333,
        0.0270175,
        0.0224863,
        0.0233835,
        0.0260625,
        0.0260224,
        0.0296712,
        0.0353824,
        0.0248922,
        0.0246347,
        0.0224448,
        0.0180948,
        0.0189686,
        0.020006,
        0.0223399,
        0.0274511,
        null,
        0.0324501,
        0.0283054,
        0.0226333,
        0.0238483,
        0.0218354,
        0.0130496,
        0.0108977,
        0.0116003,
        0.0111899,
        0.00987385,
        0.0111953,
        0.0103389,
        0.00900208,
        0.0095643,
        0.011193,
        0.0104339,
        0.00988893,
        0.00971891,
        0.0115473,
        0.00896236,
        0.0101294,
        0.0107881,
        0.00940369,
        0.00869506,
        0.00953569,
        0.0131538,
        0.0126131,
        0.0129785,
        0.0119557,
        0.0128219,
        0.0106268,
        0.00983608,
        0.0121635,
        0.0104158,
        0.011516,
        0.0117882,
        0.0115935,
        0.0116053,
        0.0116038,
        0.0115352,
        0.0100712,
        0.00913728,
        0.00963543,
        0.0113657,
        0.0138556,
        0.0157637,
        0.0115388,
        0.0101494,
        0.0112986,
        0.0104636,
        0.00953132,
        0.00876265,
        0.00819972,
        0.0083802,
        0.00891405,
        0.00924946,
        0.00897696,
        0.00901536,
        0.00955684,
        0.00886092,
        0.00858708,
        0.00901521,
        0.0089632,
        0.00904138,
        0.00826616,
        0.0066879,
        0.00724608,
        0.00893117,
        0.00996113,
        0.0106938,
        0.0100149,
        0.00968128,
        0.009002,
        0.00891511,
        0.00942072,
        0.00895179,
        0.010239,
        0.0131696,
        0.0135622,
        0.0108903,
        0.0101876,
        0.0122005,
        0.0158698,
        0.0164954,
        0.0161976,
        0.0166115,
        0.0155729,
        0.0141532,
        0.0134233,
        0.0136889,
        0.0151826,
        0.0112648,
        0.01103,
        0.0105999,
        0.00866982,
        0.00777588,
        0.00767312,
        0.00762158,
        0.00713011,
        0.00714517,
        0.00685168,
        0.00786946,
        0.00816121,
        0.00842618,
        0.00741633,
        0.00969625,
        0.0102502,
        0.00882298,
        0.00802502,
        0.0084099,
        0.00856212,
        0.00919997,
        0.00958309,
        0.00915475,
        0.00805688,
        0.00800147,
        0.00788857,
        0.00803142,
        0.0072334,
        0.00785461,
        0.00806077,
        0.0094533,
        0.00742812,
        0.00817197,
        0.00761317,
        0.00826817,
        0.00636888,
        0.007465,
        null,
        0.0107357,
        0.0108676,
        0.0109995,
        0.0102902,
        0.00856715,
        0.00860003,
        0.00956597,
        0.00945491,
        0.00945523,
        0.00994942,
        0.0108697,
        0.0111531,
        0.0122594,
        0.0134939,
        0.0139763,
        0.0132397,
        0.0118413,
        0.011486,
        0.0108396,
        0.00992722,
        0.00929385,
        0.0101877,
        0.0105247,
        0.0102721,
        0.0107387,
        0.0103304,
        0.00940686,
        0.00819694,
        0.00775812,
        0.00877608,
        0.00919091,
        0.00935272,
        0.00893852,
        0.00951327,
        0.0104581,
        0.0101501,
        0.00872466,
        0.00923886,
        0.00956114,
        0.0110197,
        0.01137,
        0.0111456,
        0.0121298,
        0.0123611,
        0.0145102,
        0.0140725,
        0.0130133,
        0.0147477,
        0.0160478,
        0.0183153,
        0.0205549,
        0.0245137,
        0.0246152,
        0.0271334,
        0.0299887,
        0.0287715,
        0.0303082,
        0.0283692,
        0.0277551,
        0.0203157,
        0.0212341,
        0.0166675,
        0.0146981,
        0.0166467,
        0.0148492,
        0.0140505,
        0.0149595,
        0.0155198,
        0.0149617,
        0.014533,
        0.0103879,
        0.0125435,
        0.00973912,
        0.0102013,
        0.0107397,
        0.0105829,
        0.0115212,
        0.00894933,
        0.0117485,
        0.0114211,
        0.0106253,
        0.0122015,
        0.0105425,
        0.0115396,
        0.0117644,
        0.0164098,
        0.0137186,
        0.0169006,
        0.0200282,
        0.0233109,
        0.0265493,
        0.0315835,
        0.0411892,
        0.0268638,
        0.0228995,
        0.0181297,
        0.0145628,
        0.0150446,
        0.0140945,
        0.0139226,
        0.0123706,
        0.0127118,
        0.0127016,
        0.0131203,
        0.0122551,
        0.0106227,
        0.0105136,
        0.00995382,
        0.010433,
        0.0110565,
        0.00945044,
        0.00899567,
        0.00929382,
        0.00937134,
        0.010567,
        0.0103933,
        0.00996375,
        0.00923045,
        0.00876402,
        0.00902037,
        0.0092455,
        0.00964281,
        0.00930844,
        0.00939074,
        0.00897453,
        0.00785646,
        0.00797876,
        0.00935568,
        0.00963008,
        0.00870855,
        0.00851808,
        0.00936218,
        0.00991276,
        0.00892536,
        0.00886938,
        0.00890849,
        0.00838305,
        0.0086786,
        0.00811008,
        0.00861455,
        0.0105438,
        0.00970909,
        0.00971058,
        0.0126719,
        0.0107117,
        0.0115097,
        0.0127872,
        0.0106976,
        0.0114598,
        0.00999631,
        0.00927942,
        0.0089449,
        0.00912032,
        0.0104797,
        0.0100255,
        0.0112163,
        0.00988368,
        0.00806333,
        0.00838799,
        0.00968178,
        0.0106124,
        0.00870533,
        0.0074438,
        0.00993536,
        0.00861953,
        0.00908335,
        0.00849256,
        0.0089051,
        0.00967517,
        0.00908929,
        0.0122028,
        0.00947436,
        0.0100017,
        0.00968177,
        0.0102966,
        0.0102973,
        0.0121615,
        0.0116478,
        0.00941372,
        0.0097506,
        0.0100607,
        0.00893691,
        0.00822869,
        0.0083683,
        0.00915085,
        0.00865906,
        0.00893012,
        0.00967038,
        0.00905527,
        0.00920708,
        0.00806058,
        0.00892413,
        0.00904865,
        0.00984177,
        0.00919081,
        0.00851018,
        0.00951396,
        0.0106615,
        0.0099802,
        0.00922816,
        0.00957575,
        0.00942788,
        0.00864159,
        0.00872178,
        0.00995647,
        0.0092438,
        0.00751139,
        0.00840893,
        0.00894389,
        0.00933086,
        0.00907336,
        0.00993286,
        0.0114536,
        0.0110515,
        0.0100085,
        0.00892471,
        0.00861978,
        0.00900397,
        0.00826395,
        0.00817914,
        0.0100475,
        0.00916081,
        0.00697229,
        0.008319,
        0.00868247,
        0.00931285,
        0.00981282,
        0.00914423,
        0.00887102,
        0.00896462,
        0.00693451,
        0.00777607,
        0.00895714,
        0.00989104,
        0.0104189,
        0.0106635,
        0.0107554,
        0.00935775,
        0.00909535,
        0.00916284,
        0.00917885,
        0.0109177,
        0.0116886,
        0.00987168,
        0.0101297,
        0.0107921,
        0.00912867,
        0.0104589,
        0.0122391,
        0.0145299,
        0.0121316,
        0.0129822,
        0.0116403,
        0.0111746,
        0.0109115,
        0.0118042,
        0.0136982,
        0.0173286,
        0.0196159,
        0.0214201,
        0.0129278,
        0.0149359,
        0.0108829,
        0.0111386,
        0.0123242,
        0.00995021,
        0.0108223,
        0.00952679,
        0.00965245,
        0.0099686,
        0.0100413,
        0.00806233,
        0.00998906,
        0.0107628,
        0.0101206,
        0.0112261,
        0.00936188,
        0.00943556,
        0.00954197,
        0.0086956,
        0.00819148,
        0.00740355,
        0.00710262,
        0.00711584,
        0.0099393,
        0.0101997,
        0.00993906,
        0.00839512,
        0.00840525,
        0.00875259,
        0.00862338,
        0.00911156,
        0.00990612,
        0.0100931,
        0.0104756,
        0.0112417,
        0.0118704,
        0.0114901,
        0.010916,
        0.0102843,
        0.0104377,
        0.00928531,
        0.0095204,
        0.0101581,
        0.00943574,
        0.00957983,
        0.00948268,
        0.00989679,
        0.0103326,
        0.00973281,
        0.00879722,
        0.00925186,
        0.00906275,
        0.00875352,
        0.0111892,
        0.00949764,
        0.0109549,
        0.0122638,
        0.0105175,
        0.010535,
        0.00912546,
        0.00751421,
        0.00866638,
        0.00854945,
        0.0096813,
        0.00954024,
        0.00907666,
        0.00866218,
        0.00905794,
        0.00863691,
        0.00793264,
        0.00955301,
        0.00936644,
        0.007645,
        0.00793711,
        0.00926277,
        0.00889953,
        0.00878445,
        0.00968341,
        0.00938441,
        0.0111836,
        0.0117734,
        0.00906103,
        0.00866243,
        0.00820965,
        0.00907351,
        0.0100095,
        0.009136,
        0.00881702,
        0.0088864,
        0.00894273,
        0.00878194,
        0.00898752,
        0.0088102,
        0.00822908,
        0.00813546,
        0.0081615,
        0.00907316,
        0.00912935,
        0.00888218,
        0.00872485,
        0.00988585,
        0.00966163,
        0.0114615,
        0.0106749,
        0.00954145,
        0.00989052,
        0.00974771,
        0.00977962,
        0.0096136,
        0.00975773,
        0.00950862,
        0.00937158,
        0.0102457,
        0.0102378,
        0.0104666,
        0.0102931,
        0.00994888,
        0.0105151,
        0.0109793,
        0.0103123,
        0.00953523,
        0.0103231,
        0.0103641,
        0.0108087,
        0.010408,
        0.0123369,
        0.0131815,
        0.0136289,
        0.0107417,
        0.0135289,
        0.0160865,
        0.0185275,
        0.0150914,
        0.0206328,
        0.0250308,
        0.0264154,
        0.03185,
        0.0383126,
        0.0296114,
        0.0258836,
        0.0205494,
        0.0188665,
        0.0168968,
        0.0146203,
        0.0150504,
        0.0139153,
        0.0169522,
        0.012923,
        0.014435,
        0.0127682,
        0.0135468,
        0.0149084,
        0.0161175,
        0.0164201,
        0.0165065,
        0.0167586,
        0.0170342,
        0.0143651,
        0.0114887,
        0.0136807,
        0.0114055,
        0.0099014,
        0.00945487,
        0.0109842,
        0.0109036,
        0.0105064,
        0.00959971,
        0.0104783,
        0.0109582,
        0.0111655,
        0.0103109,
        0.0091246,
        0.00904629,
        0.00956593,
        0.00974305,
        0.0103347,
        0.0103704,
        0.010413,
        0.0126054,
        0.0126939,
        0.0116402,
        0.0110382,
        0.0118244,
        0.0116724,
        0.0103496,
        0.010836,
        0.0109182,
        0.0102551,
        0.0111148,
        0.0116656,
        0.0119177,
        0.0139328,
        0.0117947,
        0.0104713,
        0.00946073,
        0.00967544,
        0.0105492,
        0.0111049,
        0.010763,
        0.0088714,
        0.00892866,
        0.00905686,
        0.0102664,
        0.00966081,
        0.00993472,
        0.0102826,
        0.00873606,
        0.00886742,
        0.0102534,
        0.0111141,
        0.0100342,
        0.00828972,
        0.00859435,
        0.00912651,
        0.00991302,
        0.0103212,
        0.00937132,
        0.00923203,
        0.00961754,
        0.00861417,
        0.00838568,
        0.00829714,
        0.00821471,
        0.00805716,
        0.0110713,
        0.00809795,
        0.00854754,
        0.00983673,
        0.00926842,
        0.00759045,
        0.00916962,
        0.00880791,
        0.00893979,
        0.00985821,
        0.00974585,
        0.0102593,
        0.0101238,
        0.00800443,
        0.0072835,
        0.00812541,
        0.00890162,
        0.00892814,
        0.0087877,
        0.00912547,
        0.00936372,
        0.00796925,
        0.007659,
        0.00814394,
        0.00822156,
        0.00845288,
        0.00858194,
        0.00935124,
        0.00875653,
        0.00829492,
        0.00965137,
        0.00909695,
        0.00906165,
        0.00904632,
        0.0083072,
        0.00939698,
        0.010093,
        0.00952119,
        0.0087596,
        0.0102845,
        0.0115679,
        0.0113629,
        0.0105223,
        0.0110945,
        0.0101418,
        0.00894923,
        0.010039,
        0.0110538,
        0.00943838,
        0.00879351,
        0.00965533,
        0.0103428,
        0.011356,
        0.011437,
        0.0108684,
        0.0113503,
        0.0112854,
        0.0106787,
        0.0119715,
        0.0121776,
        0.0107727,
        0.0119134,
        0.0120061,
        0.0119045,
        0.0113115,
        0.0124258,
        0.0154933,
        0.0135985,
        0.016353,
        0.0169512,
        0.0167422,
        0.0252004,
        0.021219,
        0.0271093,
        0.0313423,
        0.0378825,
        0.0307128,
        0.0249543,
        0.0185623,
        0.0213414,
        0.0184143,
        0.0171525,
        0.0150187,
        0.014289,
        0.0167924,
        0.0147637,
        0.0126089,
        0.0137441,
        0.0125311,
        0.0116863,
        0.0121124,
        0.0130836,
        0.0134644,
        0.0129103,
        0.0133557,
        0.0128694,
        0.0119751,
        0.0117557,
        0.0126256,
        0.0123905,
        0.0109525,
        0.0120287,
        0.0113735,
        0.0102932,
        0.011236,
        0.0118481,
        0.0137892,
        0.0103458,
        0.00865701,
        0.0121393,
        0.0111222,
        0.0118017,
        0.0122467,
        0.0145917,
        0.0156738,
        0.0161755,
        0.013276,
        0.0124639,
        0.0139245,
        0.0134999,
        0.0126259,
        0.0121258,
        0.0111538,
        0.0106243,
        0.00928939,
        0.00955574,
        0.0101388,
        0.0116127,
        0.00939047,
        0.00929555,
        0.0102573,
        0.0102866,
        0.00971956,
        0.0102464,
        0.00841335,
        0.0108336,
        0.0102599,
        0.0107627,
        0.0106361,
        0.00959753,
        0.0108623,
        0.0105258,
        0.0111407,
        0.0118335,
        0.010974,
        0.0110028,
        0.0105561,
        0.0102891,
        0.0106534,
        0.0110571,
        0.00999654,
        0.00882261,
        0.0105254,
        0.0111108,
        0.0101982,
        0.0094238,
        0.00914338,
        0.0105855,
        0.00844111,
        0.00888759,
        0.0107658,
        0.00978713,
        0.0108804,
        0.00932271,
        0.00920844,
        0.00950319,
        0.00987144,
        0.00996074,
        0.00990249,
        0.0109735,
        0.010444,
        0.0105918,
        0.0107721,
        0.0104421,
        0.010888,
        0.0105304,
        0.0102742,
        0.0106482,
        0.0107383,
        0.010907,
        0.0115386,
        0.0117771,
        0.00942295,
        0.0108402,
        0.0113022,
        0.0115083,
        0.0107565,
        0.0123647,
        0.0113335,
        0.0113536,
        0.0119442,
        0.00959053,
        0.00967152,
        0.0122683,
        0.0129733,
        0.0117799,
        0.0107047,
        0.0115707,
        0.0137869,
        0.014116,
        0.0128794,
        0.0113661,
        0.0120771,
        0.01272,
        0.0157654,
        0.0158363,
        0.0134107,
        0.0136034,
        0.0147276,
        0.012561,
        0.0165521,
        0.0138624,
        0.0138547,
        0.015705,
        0.0164236,
        0.0154041,
        0.0149798,
        0.0176179,
        0.0171447,
        0.0150094,
        0.0174155,
        0.0191884,
        0.01821,
        0.0211886,
        0.025316,
        0.0246162,
        0.0213654,
        0.0286138,
        0.0299225,
        0.03222,
        0.0428431,
        0.0404765,
        null,
        0.0489714,
        0.0444631,
        0.0425364,
        0.0447382,
        0.0433781,
        0.0406633,
        0.0339318,
        0.0335601,
        0.0300195,
        0.0277806,
        0.0293419,
        0.0285158,
        0.0301543,
        0.026496,
        0.0232642,
        0.0235849,
        0.0256458,
        0.0243028,
        0.0239119,
        0.0221061,
        0.0225207,
        0.0217214,
        0.0209777,
        0.0239291,
        0.0250413,
        0.0256782,
        0.0233456,
        0.0241799,
        0.0244582,
        0.0248288,
        0.0256398,
        0.0254531,
        0.0256542,
        0.026013,
        0.0276275,
        0.0257222,
        0.0258879,
        0.0268164,
        0.0279068,
        0.0297891,
        0.0326767,
        0.0346215,
        0.0363065,
        0.0335432,
        0.029618,
        0.0329877,
        0.039685,
        0.0461808,
        0.0463213,
        0.0475221,
        0.0546252,
        null,
        0.0375101,
        0.0338514,
        0.0315771,
        0.0296997,
        0.0247142,
        0.0239786,
        0.0286342,
        0.0239051,
        0.022446,
        0.0239084,
        0.0201726,
        0.0188785,
        0.0189419,
        0.0159932,
        0.0150527,
        0.0150419,
        0.0143398,
        0.0153592,
        0.0163653,
        0.015172,
        0.0148738,
        0.0143944,
        0.0129809,
        0.0136454,
        0.0141415,
        0.0137146,
        0.0142019,
        0.0139162,
        0.0125683,
        0.01177,
        0.0116221,
        0.012029,
        0.0105573,
        0.0104761,
        0.011107,
        0.00950045,
        0.00962341,
        0.0106349,
        0.0113756,
        0.0110331,
        0.0106083,
        0.0112748,
        0.0117764,
        0.0120424,
        0.0118721,
        0.0111549,
        0.0109009,
        0.0115759,
        0.0109556,
        0.0101908,
        0.00940815,
        0.00987751,
        0.0100194,
        0.00984491,
        0.0103507,
        0.0101042,
        0.00942513,
        0.00978821,
        0.0100995,
        0.0103231,
        0.0102788,
        0.00990957,
        0.00970038,
        0.0104632,
        0.0101077,
        0.00922127,
        0.00789194,
        0.00891768,
        0.00944286,
        0.00844886,
        0.00840361,
        0.00838498,
        0.00826859,
        0.00929668,
        0.00956192,
        0.00909018,
        0.00937423,
        0.00963466,
        0.00989258,
        0.0102742,
        0.00941681,
        0.00823741,
        0.00867805,
        0.00893847,
        0.00946178,
        0.0110581,
        0.00975988,
        0.00832518,
        0.00835865,
        0.0103387,
        0.0111997,
        0.00956674,
        0.00984365,
        0.0103713,
        0.0109742,
        0.0125916,
        0.0125521,
        0.0109463,
        0.00930088,
        0.00850111,
        0.00839211,
        0.00885357,
        0.00930829,
        0.0095691,
        0.00899479,
        0.00843688,
        0.00803701,
        0.00809475,
        0.00918286,
        0.0101077,
        0.0101193,
        0.00895409,
        0.00834506,
        0.0089734,
        0.00927914,
        0.009573,
        0.00988707,
        0.0100206,
        0.00974234,
        0.00914504,
        0.00959807,
        0.00959696,
        0.00928292,
        0.00901207,
        0.00884206,
        0.00886359,
        0.00947041,
        0.00982022,
        0.010023,
        0.0100923,
        0.00986403,
        0.010046,
        0.0111977,
        0.0104682,
        0.0104316,
        0.0119628,
        0.0119641,
        0.0122104,
        0.0128781,
        0.0131316,
        0.0126786,
        0.0116884,
        0.0114699,
        0.0127639,
        0.0149108,
        0.01593,
        0.0162175,
        0.0163956,
        0.0174902,
        0.0187266,
        0.0195022,
        0.0188605,
        0.0176991,
        0.018714,
        0.0241546,
        0.0284988,
        0.0338415,
        0.0407686,
        0.0290252,
        0.0249679,
        0.0223333,
        0.0199444,
        0.0178296,
        0.0174877,
        0.016788,
        0.0158169,
        0.0147976,
        0.0127238,
        0.0105796,
        0.0109508,
        0.0111769,
        0.0113331,
        0.0114543,
        0.0109748,
        0.0106652,
        0.0111243,
        0.0103931,
        0.00970083,
        0.00942544,
        0.00904579,
        0.00920912,
        0.0100191,
        0.0101118,
        0.00998241,
        0.00968075,
        0.00984112,
        0.00935337,
        0.00858064,
        0.00890313,
        0.00872665,
        0.00839223,
        0.00839962,
        0.0083453,
        0.00819393,
        0.00784215,
        0.00791157,
        0.00848185,
        0.00982597,
        0.00846429,
        0.0080352,
        0.00945371,
        0.00984406,
        0.00908979,
        0.00726554,
        0.00796441,
        0.00836568,
        0.00845008,
        0.00778459,
        0.00751708,
        0.007555,
        0.00792934,
        0.00764002,
        0.00732297,
        0.00781501,
        0.00754871,
        0.00708338,
        0.00668801,
        0.00716578,
        0.0078787,
        0.008691,
        0.00897491,
        0.008894,
        0.00842854,
        0.00831885,
        0.00846924,
        0.00880097,
        0.00827795,
        0.00740395,
        0.00647797,
        0.00708418,
        0.0078795,
        0.00862208,
        0.0087371,
        0.00838432,
        0.00825674,
        0.00918493,
        0.00846477,
        0.007689,
        0.00755042,
        0.00797837,
        0.00809638,
        0.00762329,
        0.00780293,
        0.00756883,
        0.00639998,
        0.00664412,
        0.00709117,
        0.00657935,
        0.00669621,
        0.00667857,
        0.00636539,
        0.00636296,
        0.00666943,
        0.00642855,
        0.00611831,
        0.00688791,
        0.00681527,
        0.00793027,
        0.00715669,
        0.0078452,
        0.00775604,
        0.00708402,
        0.00702486,
        0.0066408,
        0.0077433,
        0.00831402,
        0.00791202,
        0.00700751,
        0.00766837,
        0.00682248,
        0.00739572,
        0.00667707,
        0.00679236,
        0.00765844,
        0.00826764,
        0.00832449,
        0.00724809,
        0.00679087,
        0.0069433,
        0.00659072,
        0.00626347,
        0.00608757,
        0.00714271,
        0.00831058,
        0.00684599,
        0.00621181,
        0.00816915,
        0.00828266,
        0.00705121,
        0.00753751,
        0.00825934,
        0.00874236,
        0.0080811,
        0.00851987,
        0.00796482,
        0.00774184,
        0.00950047,
        0.00905654,
        0.00909453,
        0.00949815,
        0.00813812,
        0.00845734,
        0.00988838,
        0.0106647,
        0.00959015,
        0.00808153,
        0.0090384,
        0.0110942,
        0.00989889,
        0.010097,
        0.0121159,
        0.0130924,
        0.0146946,
        0.0170083,
        0.0176063,
        0.0211475,
        0.0234428,
        0.0247501,
        0.0315839,
        0.0235296,
        0.0173683,
        0.0161203,
        0.0166431,
        0.0159775,
        0.0148842,
        0.0133175,
        0.0133071,
        0.0118756,
        0.0118025,
        0.0112621,
        0.0117461,
        0.0111137,
        0.0110879,
        0.0118685,
        0.0118143,
        0.0114166,
        0.0119612,
        0.0122836,
        0.0110726,
        0.0101596,
        0.0112961,
        0.0107651,
        0.0101062,
        0.011128,
        0.0106953,
        0.0109214,
        0.0120844,
        0.0116018,
        0.0121293,
        0.0114257,
        0.0108723,
        0.0109585,
        0.011723,
        0.0113512,
        0.0105838,
        0.011214,
        0.010942,
        0.010061,
        0.00985789,
        0.01265,
        0.0135769,
        0.0118831,
        0.0126809,
        0.0124257,
        0.0108201,
        0.012617,
        0.014591,
        0.0140844,
        0.0137858,
        0.0143553,
        0.0158609,
        0.0170458,
        0.0141107,
        0.0167263,
        0.0163142,
        0.0185123,
        0.0213792,
        0.0245534,
        0.020602,
        0.0234512,
        0.0226187,
        0.0268248,
        null,
        0.0286107,
        0.0220332,
        0.019596,
        0.0231777,
        0.0205896,
        0.019868,
        0.0218451,
        0.0201706,
        0.0173383,
        0.0189788,
        0.0171758,
        0.0168124,
        0.0150864,
        0.015071,
        0.0153235,
        0.0153492,
        0.0158771,
        0.0174895,
        0.0150625,
        0.0124755,
        0.012711,
        0.0146253,
        0.0136213,
        0.0123216,
        0.0137045,
        0.0126667,
        0.0150219,
        0.0140451,
        0.0139259,
        0.0152302,
        0.0147602,
        0.015043,
        0.0159778,
        0.0150686,
        0.0151258,
        0.0158087,
        0.0162128,
        0.0170761,
        0.0182368,
        0.0196648,
        0.0207838,
        0.0212566,
        0.0203728,
        0.0226234,
        0.0248423,
        0.0258287,
        0.0307189,
        0.0346647,
        0.0368665,
        0.0428491,
        0.0229281,
        0.0211792,
        0.0169872,
        0.015199,
        0.0134802,
        0.013102,
        0.0116987,
        0.0113844,
        0.00940643,
        0.00805397,
        0.00704795,
        0.00838315,
        0.00877565,
        0.00749879,
        0.00790851,
        0.00968128,
        0.00711238,
        0.0110296,
        0.00879269,
        0.0092298,
        0.00967933,
        0.00919561,
        0.00840806,
        0.00696774,
        0.00779504,
        0.00750012,
        0.00786674,
        0.00707053,
        0.00734263,
        0.00723166,
        0.00718665,
        0.00611775,
        0.00703238,
        0.00773139,
        0.00804439,
        0.0083909,
        0.0072461,
        0.00695164,
        0.00713528,
        0.00750635,
        0.00696151,
        0.00861096,
        0.00764493,
        0.00745576,
        0.00848864,
        0.00847604,
        0.00748422,
        0.00730046,
        0.00687134,
        0.00680894,
        0.00712802,
        0.0070654,
        0.00741667,
        0.00662012,
        0.00730895,
        0.00754937,
        0.0069898,
        0.0071522,
        0.00736435,
        0.00684657,
        0.00712135,
        0.00745349,
        0.00731098,
        0.00738377,
        0.00642999,
        0.00618279,
        0.00781238,
        0.0069209,
        0.00743537,
        0.00779331,
        0.0077015,
        0.00809772,
        0.00836452,
        0.00821449,
        0.00678191,
        0.00566349,
        0.00853308,
        0.00793496,
        0.00747855,
        0.00747194,
        0.0076603,
        0.00793963,
        0.00844057,
        0.00872132,
        0.00857585,
        0.00922125,
        0.00933696,
        0.00874376,
        0.00863997,
        0.00889382,
        0.00934501,
        0.00840716,
        0.00816577,
        0.00700863,
        0.00713848,
        0.00643156,
        0.00550021,
        0.00666994,
        0.00660762,
        0.00664848,
        0.00664278,
        0.0070911,
        0.00706146,
        0.00634391,
        0.00615212,
        0.00641683,
        0.00683563,
        0.00692671,
        0.00665406,
        0.00634026,
        0.00776688,
        0.00760784,
        0.00625688,
        0.00730323,
        0.00701782,
        0.00630818,
        0.00685818,
        0.0067581,
        0.00628419,
        0.00550622,
        0.00627675,
        0.00712526,
        0.00679276,
        0.00825854,
        0.00737224,
        0.00728502,
        0.00723668,
        0.00683859,
        0.00738891,
        0.00785332,
        0.00783014,
        0.00815769,
        0.00776804,
        0.00827816,
        0.0075137,
        0.00659058,
        0.00709371,
        0.0085526,
        0.00821146,
        0.00777758,
        0.00790638,
        0.00918592,
        0.00924291,
        0.0089246,
        0.0090653,
        0.00730469,
        0.00810096,
        0.0126569,
        0.0121972,
        0.0115773,
        0.0135908,
        0.0133291,
        0.0123994,
        0.0134541,
        0.0153792,
        0.0185066,
        0.0177927,
        0.0244444,
        0.0289512,
        0.0320516,
        0.0382394,
        0.0251373,
        0.0211634,
        0.0173608,
        0.0141654,
        0.0127871,
        0.0132468,
        0.0116063,
        0.0113473,
        0.0127027,
        0.0118559,
        0.0126599,
        0.0108677,
        0.010701,
        0.00995955,
        0.00915931,
        0.00803105,
        0.00778232,
        0.00785737,
        0.00753542,
        0.00823332,
        0.00801631,
        0.00794573,
        0.00628355,
        0.0067505,
        0.00751118,
        0.00702938,
        0.00619547,
        0.0074661,
        0.00783713,
        0.00742331,
        0.00672941,
        0.00645668,
        0.00719886,
        0.00692989,
        0.0074427,
        0.00645211,
        0.00670949,
        0.00628481,
        0.00694677,
        0.00691938,
        0.00668765,
        0.00616965,
        0.00592528,
        0.00601144,
        0.00551568,
        0.00749097,
        0.00675899,
        0.00667226,
        0.00660754,
        0.00634503,
        0.0067314,
        0.00679588,
        0.00585701,
        0.00680189,
        0.00631623,
        0.00601042,
        0.00783869,
        0.0069933,
        0.00715665,
        0.00631382,
        0.00626689,
        0.00725062,
        0.0072189,
        0.00645814,
        0.00667363,
        0.00633736,
        0.00628422,
        0.00602765,
        0.00643447,
        0.00622584,
        0.00573429,
        0.00645756,
        0.00638184,
        0.00663907,
        0.00683691,
        0.00587571,
        0.00569561,
        0.0052917,
        0.00629662,
        0.00645718,
        0.00705131,
        0.00617296,
        0.00683354,
        0.00654889,
        0.0065563,
        0.0060498,
        0.00594205,
        0.00667738,
        0.0072638,
        0.0070247,
        0.00701296,
        0.00656482,
        0.00623159,
        0.00588645,
        0.00606208,
        0.00615693,
        0.00645956,
        0.00651784,
        0.00709745,
        0.00684946,
        0.00710234,
        0.00666694,
        0.00641405,
        0.00663828,
        0.00686883,
        0.00664633,
        0.00665455,
        0.00572819,
        0.00706963,
        0.00728821,
        0.00688975,
        0.00675936,
        0.00706668,
        0.00699201,
        0.00724394,
        0.00755083,
        0.00745699,
        0.00683742,
        0.00692608,
        0.00822374,
        0.00639233,
        0.0066115,
        0.00606018,
        0.00634324,
        0.00664184,
        0.00654096,
        0.00581979,
        0.00663012,
        0.00711566,
        0.00649702,
        0.00600236,
        0.00664295,
        0.0063732,
        0.00675852,
        0.00783187,
        0.0075836,
        0.00760626,
        0.00736901,
        0.00777379,
        0.00779732,
        0.00727108,
        0.00760003,
        0.00886616,
        0.00832187,
        0.00750848,
        0.0074193,
        0.008035,
        0.00764754,
        0.00845756,
        0.00940582,
        0.0110888,
        0.0112923,
        0.0111789,
        0.0123046,
        0.0109632,
        0.0126654,
        0.014526,
        0.0175621,
        0.0200238,
        0.0249544,
        0.0313596,
        0.0328008,
        0.0279246,
        0.0244244,
        0.0241471,
        0.0202561,
        0.0182326,
        0.0152945,
        0.0125836,
        0.0122359,
        0.0128741,
        0.0117615,
        0.0103386,
        0.00981429,
        0.00977254,
        0.00956054,
        0.0101248,
        0.00920023,
        0.00897073,
        0.00804049,
        0.00865659,
        0.00747566,
        0.00803436,
        0.00787944,
        0.0071054,
        0.0075656,
        0.00681754,
        0.00734352,
        0.00701439,
        0.00841208,
        0.00736782,
        0.00681093,
        0.00721213,
        0.00663105,
        0.00648324,
        0.00732579,
        0.00760601,
        0.00659888,
        0.00726573,
        0.00795969,
        0.00757608,
        0.00832217,
        0.00837496,
        0.00812992,
        0.00765707,
        0.00719297,
        0.00674587,
        0.00714624,
        0.0078843,
        0.00603371,
        0.00588983,
        0.00678964,
        0.00695328,
        0.00670128,
        0.00636881,
        0.00642435,
        0.006586,
        0.00642668,
        0.00593819,
        0.00653078,
        0.00742705,
        0.00704957,
        0.00669373,
        0.00626976,
        0.00622988,
        0.00686946,
        0.00631977,
        0.00617525,
        0.00621756,
        0.00616192,
        0.00582716,
        0.00615744,
        0.0054445,
        0.00591157,
        0.00676338,
        0.00665874,
        0.00626573,
        0.00570261,
        0.00524389,
        0.00622869,
        0.00619094,
        0.00624536,
        0.00579867,
        0.00618141,
        0.00608552,
        0.00636821,
        0.00593494,
        0.00732681,
        0.00628356,
        0.00703062,
        0.00616279,
        0.00587647,
        0.00674178,
        0.0071614,
        0.00680165,
        0.00567733,
        0.00609553,
        0.00668815,
        0.00619731,
        0.00618974,
        0.00668413,
        0.00538383,
        0.00613866,
        0.00688955,
        0.00634964,
        0.00667079,
        0.0067121,
        0.00702557,
        0.00757015,
        0.00681552,
        0.00604843,
        0.00689718,
        0.00736205,
        0.00723364,
        0.00630699,
        0.00656074,
        0.00737748,
        0.00615197,
        0.00668648,
        0.00669434,
        0.00763981,
        0.0073531,
        0.00725061,
        0.00716083,
        0.00783306,
        0.00794758,
        0.00701963,
        0.00602843,
        0.00570709,
        0.00591043,
        0.00678781,
        0.00718059,
        0.00769615,
        0.00778736,
        0.00751195,
        0.00759162,
        0.00743208,
        0.00732062,
        0.00833281,
        0.00881306,
        0.00783462,
        0.00920998,
        0.00969345,
        0.00951053,
        0.00906892,
        0.010683,
        0.00984152,
        0.0115055,
        0.0111663,
        0.0109518,
        0.0117779,
        0.0120408,
        0.0117949,
        0.0109609,
        0.0109429,
        0.0115343,
        0.0126528,
        0.0131685,
        0.0118941,
        0.0138632,
        0.0141546,
        0.0173062,
        0.0218187,
        0.0225064,
        0.0245502,
        0.0276121,
        0.0318495,
        0.02613,
        0.0235451,
        0.0191922,
        0.0182127,
        0.0170843,
        0.0162754,
        0.014681,
        0.0115603,
        0.0114843,
        0.0100504,
        0.0106765,
        0.0100342,
        0.0092805,
        0.00752152,
        0.00848581,
        0.00784661,
        0.00861317,
        0.00957038,
        0.00786301,
        0.00755808,
        0.00784253,
        0.00833973,
        0.00762967,
        0.00700607,
        0.0071255,
        0.0106796,
        0.0114847,
        0.0114887,
        0.00952253,
        0.00888984,
        0.00907377,
        0.0101993,
        0.0103084,
        0.00971849,
        0.00841515,
        0.00909522,
        0.00803908,
        0.00828346,
        0.00665891,
        0.00696977,
        0.00684532,
        0.0064245,
        0.00710587,
        0.00729102,
        0.00739711,
        0.00694712,
        0.00666059,
        0.00675995,
        0.00699051,
        0.00719514,
        0.00679901,
        0.00647876,
        0.0069016,
        0.0067617,
        0.00651078,
        0.00720829,
        0.00789389,
        0.00750314,
        0.00767548,
        0.00744488,
        0.00759478,
        0.0082776,
        0.00892493,
        0.00737536,
        0.0080256,
        0.00855282,
        0.00857575,
        0.00901698,
        0.0091625,
        0.00848615,
        0.00852949,
        0.00831297,
        0.00865276,
        0.00818311,
        0.00790228,
        0.00775735,
        0.00811148,
        0.00881785,
        0.0074588,
        0.00766036,
        0.00869005,
        0.00868752,
        0.00858039,
        0.00772194,
        0.00740339,
        0.00737216,
        0.00673893,
        0.00759202,
        0.00642871,
        0.0073702,
        0.00767937,
        0.00729455,
        0.00798807,
        0.00666723,
        0.00627823,
        0.00722821,
        0.00960062,
        0.00919766,
        0.00789332,
        0.00733072,
        0.00795971,
        0.00919091,
        0.00910291,
        0.00948217,
        0.0094601,
        0.00744421,
        0.00832582,
        0.00918915,
        0.00826149,
        0.00850399,
        0.00837664,
        0.00749994,
        0.00746787,
        0.00843137,
        0.0101191,
        0.00890518,
        0.00846128,
        0.00848156,
        0.00829736,
        0.00847638,
        0.00908572,
        0.010532,
        0.0102321,
        0.00959463,
        0.00915677,
        0.00970628,
        0.00930817,
        0.00754037,
        0.00823708,
        0.00823602,
        0.00769818,
        0.00875425,
        0.00891689,
        0.00869985,
        0.00914797,
        0.0088951,
        0.00851268,
        0.00851564,
        0.00833185,
        0.00854422,
        0.00952783,
        0.00968784,
        0.00952523,
        0.00908269,
        0.00830661,
        0.00867869,
        0.0098345,
        0.00966152,
        0.0104634,
        0.0112589,
        0.0100234,
        0.00985938,
        0.00975628,
        0.00891235,
        0.0103666,
        0.0115942,
        0.0117926,
        0.0135415,
        0.0145708,
        0.0147458,
        0.0154821,
        0.0157412,
        0.0162384,
        0.0206484,
        0.0254667,
        0.0302544,
        0.0342814,
        0.0291999,
        0.023532,
        0.0192112,
        0.0162562,
        0.0148227,
        0.0138263,
        0.0129053,
        0.0121656,
        0.0127287,
        0.0130099,
        0.0128288,
        0.0113163,
        0.0114716,
        0.0116763,
        0.0104605,
        0.0109168,
        0.0109178,
        0.00958854,
        0.00910232,
        0.00846671,
        0.00761448,
        0.00763681,
        0.00752954,
        0.00760367,
        0.0097155,
        0.00885173,
        0.0071609,
        null,
        0.00585721,
        0.00608768,
        0.00631815,
        0.00654863,
        0.0067791,
        0.00713654,
        0.00766271,
        0.00715706,
        0.00718411,
        0.00751335,
        0.00748535,
        0.00755518,
        0.00798356,
        0.00908284,
        0.0101271,
        0.00938905,
        0.0068652,
        0.00683489,
        0.00707139,
        0.00723121,
        0.00656647,
        0.00723789,
        0.00753226,
        0.00667822,
        0.00644071,
        0.00666976,
        0.00726093,
        0.00778186,
        0.00839139,
        0.00848004,
        0.00710962,
        0.00777954,
        0.00822144,
        0.00798364,
        0.00788797,
        0.00781364,
        0.00788716,
        0.00855881,
        0.00832662,
        0.00808529,
        0.0083972,
        0.00882164,
        0.00857096,
        0.00773774,
        0.00836667,
        0.00806506,
        0.00732227,
        0.0067159,
        0.00688679,
        0.00726168,
        0.00768077,
        0.00699856,
        0.0072841,
        0.00816511,
        0.00787827,
        0.00797251,
        0.00824861,
        0.00861001,
        0.00823338,
        0.00802194,
        0.00809895,
        0.00747512,
        0.00738952,
        0.00826171,
        0.0115457,
        0.0108568,
        0.00950597,
        0.00891509,
        0.00943567,
        0.0105035,
        0.0118354,
        0.0115069,
        0.0118184,
        0.0131976,
        0.016662,
        0.0175829,
        0.0194583,
        0.0251517,
        0.0207378,
        0.0179005,
        0.0170255,
        0.0148265,
        0.0117316,
        0.0101811,
        0.00900256,
        0.00893242,
        0.0110959,
        0.00955118,
        0.00853606,
        0.00878961,
        0.00925982,
        0.00917783,
        0.00879756,
        0.00853869,
        0.00884526,
        0.00832758,
        0.00616398,
        0.00753551,
        0.00780631,
        0.0070204,
        0.007079,
        0.00739751,
        0.00792867,
        0.00872044,
        0.00874704,
        0.00853404,
        0.00820644,
        0.00865604,
        0.00888785,
        0.00881094,
        0.00794969,
        0.00766714,
        0.00764769,
        0.0077814,
        0.00837004,
        0.0081851,
        0.00733789,
        0.00802197,
        0.00839585,
        0.00835661,
        0.00754524,
        0.00762297,
        0.00772999,
        0.00761112,
        0.00794746,
        0.00804397,
        0.00791997,
        0.00753215,
        0.0072302,
        0.00729596,
        0.00805992,
        0.00872821,
        0.00897446,
        0.00875342,
        0.00832436,
        0.00842934,
        0.00856829,
        0.00786766,
        0.00742759,
        0.0074829,
        0.00821455,
        0.00758158,
        0.0072952,
        0.00725523,
        0.00693784,
        0.00732177,
        0.00758502,
        0.00692262,
        0.00802488,
        0.00823936,
        0.00728137,
        0.00821488,
        0.00776793,
        0.00675951,
        0.00669186,
        0.00718543,
        0.00744954,
        0.00711957,
        0.00747006,
        0.00757051,
        0.00755389,
        0.00838213,
        0.00782786,
        0.00725721,
        0.00812314,
        0.00739642,
        0.00705354,
        0.00741752,
        0.00653923,
        0.00647222,
        0.0069646,
        0.00772512,
        0.00697353,
        0.00648142,
        0.00718052,
        0.00707687,
        0.00740171,
        0.00802608,
        0.00771486,
        0.00741675,
        0.00726489,
        0.00747541,
        0.00784925,
        0.00771177,
        0.0069424,
        0.00805657,
        0.008019,
        0.00736727,
        0.00729815,
        0.00716188,
        0.00713961,
        0.00735436,
        0.00793602,
        0.00758315,
        0.00650856,
        0.00692069,
        0.00734728,
        0.00783513,
        0.00846395,
        0.00798799,
        0.00747646,
        0.0071638,
        0.00726647,
        0.00755135,
        0.00774657,
        0.00707029,
        0.00716856,
        0.00754039,
        0.00799962,
        0.00789208,
        0.00781614,
        0.00783713,
        0.00809903,
        0.00801121,
        0.00767151,
        0.00706636,
        0.00764836,
        0.007973,
        0.0076813,
        0.00803581,
        0.00825215,
        0.00843456,
        0.00886122,
        0.00852126,
        0.00838052,
        0.00908835,
        0.00853692,
        0.00810256,
        0.00793522,
        0.0083809,
        0.00894253,
        0.00947182,
        0.00975472,
        0.00936227,
        0.0207903,
        0.0175845,
        0.0118169,
        0.0113826,
        0.0108365,
        0.0099465,
        0.00996392,
        0.010518,
        0.0106378,
        0.00906272,
        0.00898468,
        0.00892089,
        0.00859883,
        0.00985227,
        0.00946065,
        0.00831946,
        0.00844432,
        0.00755787,
        0.00702022,
        0.00754822,
        0.00763223,
        0.00784009,
        0.00810985,
        0.00778325,
        0.00711379,
        0.00657218,
        0.00673031,
        0.00674557,
        0.00688681,
        0.00715899,
        0.00655189,
        0.00617584,
        0.00612413,
        0.00683286,
        0.00737574,
        0.00781342,
        0.00815044,
        0.00701914,
        0.00689579,
        0.00756838,
        0.00764594,
        0.00707248,
        0.00662587,
        0.00705636,
        0.00715002,
        0.00750083,
        0.00816809,
        0.00793966,
        0.00755933,
        0.00723674,
        0.00742363,
        0.0066339,
        0.00625228,
        0.00684086,
        0.00744321,
        0.00706563,
        0.00610843,
        0.00629451,
        0.00659063,
        0.00693828,
        0.00730648,
        0.00719079,
        0.00687521,
        0.00648939,
        0.00717645,
        0.0074284,
        0.00750353,
        0.00772435,
        0.00696276,
        0.00656182,
        0.00701941,
        0.00629783,
        0.00719741,
        0.00889125,
        0.00832651,
        0.0082096,
        0.0081833,
        0.00803627,
        0.0088761,
        0.00843652,
        0.00713313,
        0.00997942,
        0.0106348,
        0.00997151,
        0.00844702,
        0.00850715,
        0.00923938,
        0.0104477,
        0.0102014,
        0.0104651,
        0.0111917,
        0.0124444,
        0.0121287,
        0.0122952,
        0.0141406,
        0.0324478,
        0.0237455,
        0.0160059,
        0.0147173,
        0.0144681,
        0.0144655,
        0.0134267,
        0.0116012,
        0.0107402,
        0.01151,
        0.0104449,
        0.0106284,
        0.0111862,
        0.00927644,
        0.00923626,
        0.00940645,
        0.00886281,
        0.00902751,
        0.00881263,
        0.00837621,
        0.00932331,
        0.00835656,
        0.00736319,
        0.00839043,
        0.00867753,
        0.00858651,
        0.00816594,
        0.00763666,
        0.00829828,
        0.00921127,
        0.00805628,
        0.00731188,
        0.00702379,
        0.00731494,
        0.00830656,
        0.0082826,
        0.00758136,
        0.00807456,
        0.00817654,
        0.00839073,
        0.00918979,
        0.00961776,
        0.0104006,
        0.0114745,
        0.0108603,
        0.0123079,
        0.0150565,
        0.0185283,
        0.0266088,
        0.0207083,
        0.0175806,
        0.0129659,
        0.0117137,
        0.0118222,
        0.0118866,
        0.0102606,
        0.00884102,
        0.00799622,
        0.0093796,
        0.0093829,
        0.00853519,
        0.00764039,
        0.00758742,
        0.00740333,
        0.00666585,
        0.00709779,
        0.00697399,
        0.00654375,
        0.0070323,
        0.00699015,
        0.00698568,
        0.00746569,
        0.00754718,
        0.00825026,
        0.00935839,
        0.00757483,
        0.00710528,
        0.00723151,
        0.00722334,
        0.00686538,
        0.00735,
        0.00894748,
        0.00736719,
        0.00683634,
        0.00692941,
        0.00681604,
        0.00696441,
        0.00685753,
        0.00619582,
        0.00672117,
        0.0067857,
        0.00652399,
        0.00690748,
        0.00669495,
        0.00653752,
        0.00702076,
        0.00672845,
        0.00610379,
        0.00528202,
        0.00527143,
        0.00556486,
        0.00601648,
        0.00646924,
        0.00766795,
        0.00812028,
        0.00734492,
        0.00731725,
        0.00715069,
        0.00697367,
        0.00717104,
        0.0075084,
        0.00771688,
        0.00761932,
        0.00655758,
        0.00597417,
        0.00610412,
        0.00790417,
        0.00719832,
        0.00636432,
        0.00721025,
        0.00593453,
        0.00560668,
        0.00639709,
        0.00636614,
        0.0068835,
        0.00743075,
        0.00728075,
        0.00587812,
        0.00546425,
        0.0066242,
        0.0061618,
        0.0060562,
        0.00618989,
        0.00635651,
        0.00599817,
        0.00577595,
        0.00603739,
        0.0069488,
        0.00717803,
        0.00687404,
        0.00699044,
        0.00686368,
        0.00674134,
        0.00684444,
        0.00656416,
        0.00688847,
        0.00783214,
        0.00766877,
        0.00742271,
        0.00710642,
        0.00670658,
        0.00828925,
        0.00875638,
        0.00712234,
        0.00702395,
        0.00658756,
        0.00603155,
        0.00595751,
        0.0059833,
        0.00617614,
        0.00659883,
        0.00679692,
        0.00652333,
        0.00603221,
        0.00647146,
        0.00699136,
        0.0073257,
        0.00719679,
        0.00717306,
        0.00727956,
        0.00753462,
        0.00808576,
        0.00800601,
        0.00767413,
        0.00752528,
        0.00755201,
        0.00716387,
        0.00620847,
        0.00683029,
        0.0076086,
        0.00813204,
        0.00715149,
        0.0075355,
        0.00753969,
        0.0063785,
        0.00778452,
        0.00784624,
        0.00709846,
        0.00780378,
        0.00767972,
        0.00754271,
        0.00797172,
        null,
        0.0153686,
        0.016153,
        0.0162909,
        0.0157759,
        0.015572,
        0.0167083,
        0.0178305,
        0.0172937,
        0.0180083,
        0.0198602,
        0.0228712,
        0.0261463,
        0.0279362,
        0.0289991,
        0.0305152,
        null,
        0.029718,
        0.0303615,
        0.0236027,
        0.0113346,
        0.0123839,
        0.0118105,
        0.0113923,
        0.0110897,
        0.0109109,
        0.0113193,
        0.0112039,
        0.0109473,
        0.0127592,
        0.012576,
        0.0117078,
        0.0108687,
        0.0109502,
        0.01042,
        0.00937942,
        0.0101344,
        0.00972697,
        0.00890331,
        0.00836723,
        0.00966338,
        0.0101765,
        0.00950514,
        0.00909792,
        0.00861737,
        0.00816105,
        0.00789612,
        0.00893427,
        0.00975287,
        0.00992639,
        0.00924524,
        0.00881622,
        0.0088413,
        0.0100412,
        0.0103567,
        0.0100182,
        0.00899553,
        0.00859576,
        0.00913713,
        0.00999299,
        0.00868921,
        0.00822432,
        0.00779977,
        0.00696221,
        0.00837987,
        0.00840592,
        0.00722461,
        0.00746791,
        0.00886064,
        0.00938955,
        0.00703205,
        0.00700556,
        0.00742461,
        0.00802148,
        0.00844976,
        0.00836032,
        0.00849298,
        0.00985271,
        0.00928889,
        0.00882586,
        0.00889357,
        0.00941262,
        0.009891,
        0.0103576,
        0.0108585,
        0.0104188,
        0.0105994,
        0.0119586,
        0.0107124,
        0.0110444,
        0.0131103,
        0.0181238,
        0.0205544,
        0.023328,
        0.0278377,
        0.0255809,
        0.0259492,
        0.0218334,
        0.017637,
        0.0139747,
        0.0130627,
        0.0120194,
        0.0111719,
        0.0108557,
        0.0104845,
        0.0100339,
        0.00948969,
        0.00874051,
        0.00835915,
        0.00814748,
        0.00791882,
        0.00818492,
        0.00885713,
        0.00981779,
        0.0087419,
        0.0083838,
        0.00858496,
        0.00935066,
        0.00881893,
        0.00820992,
        0.00790109,
        0.00903964,
        0.00874468,
        0.00773821,
        0.00744692,
        0.00704636,
        0.00716667,
        0.00810078,
        0.00846146,
        0.00796333,
        0.00697262,
        0.00664732,
        0.00751789,
        0.00848374,
        0.00895722,
        0.00833543,
        0.00818781,
        0.00832171,
        0.00735159,
        0.00787644,
        0.00826391,
        0.00727161,
        0.00771825,
        0.00785537,
        0.00776054,
        0.00892282,
        0.0089328,
        0.0085177,
        0.00826646,
        0.0074326,
        0.00710977,
        0.00740514,
        0.0078331,
        0.00790389,
        0.0077166,
        0.00731236,
        0.00777466,
        0.00772294,
        0.00694971,
        0.0079979,
        0.00856677,
        0.00882277,
        0.00890923,
        0.00863481,
        0.00843459,
        0.00845753,
        0.00898465,
        0.00904081,
        0.00875079,
        0.00828883,
        0.00790214,
        0.00794059,
        0.00860027,
        0.00933944,
        0.0095295,
        0.00917311,
        0.00816564,
        0.00835625,
        0.00878208,
        0.00898835,
        0.00940272,
        0.0103084,
        0.0110372,
        0.00844921,
        0.00916051,
        0.0097832,
        0.00801722,
        0.00834572,
        0.00839927,
        0.00821514,
        0.00928965,
        0.00976358,
        0.0100893,
        0.0106152,
        0.00970774,
        0.0097386,
        0.0107285,
        0.0105531,
        0.0115904,
        0.0123754,
        0.0109826,
        0.0116483,
        0.0113579,
        0.00981855,
        0.0109006,
        0.0120881,
        0.012785,
        0.0118756,
        0.0116947,
        0.0119512,
        0.0125052,
        0.0112588,
        0.0106221,
        0.0110956,
        0.0141859,
        0.0132853,
        0.0127386,
        0.0138607,
        0.0126624,
        0.0127781,
        0.0137591,
        0.0148825,
        0.0150513,
        0.015134,
        0.0154555,
        0.01776,
        0.0176366,
        0.0161546,
        0.0164198,
        0.0169353,
        0.0195352,
        0.0256891,
        0.0231184,
        0.0231122,
        0.0256435,
        0.0294256,
        null,
        0.0318575,
        0.0337111,
        0.0310629,
        0.0236958,
        0.0239565,
        0.0241638,
        0.0233578,
        0.0197548,
        0.0180664,
        0.0176085,
        0.0181115,
        0.0152712,
        0.0150262,
        0.015597,
        0.014422,
        0.0152413,
        0.0161769,
        0.0167467,
        0.0153857,
        0.0141288,
        0.0133242,
        0.0138155,
        0.0128252,
        0.0121553,
        0.0123168,
        0.0127132,
        0.0128873,
        0.012886,
        0.0127372,
        0.0131399,
        0.0126923,
        0.0108631,
        0.0110694,
        0.0106106,
        0.0102002,
        0.0116334,
        0.0117004,
        0.010791,
        0.00888594,
        0.00840425,
        0.00941725,
        0.0106883,
        0.00878182,
        0.00893755,
        0.00965757,
        0.0104291,
        0.00908173,
        0.00888487,
        0.00947983,
        0.00974239,
        0.0100629,
        0.00998298,
        0.00921151,
        0.0104002,
        0.0102263,
        0.00920984,
        0.00935838,
        0.00909554,
        0.00860682,
        0.00794051,
        0.00869743,
        0.00929788,
        0.00955169,
        0.00887046,
        0.00897823,
        0.00883091,
        0.00771982,
        0.00837047,
        0.00920172,
        0.00995015,
        0.00980775,
        0.00859902,
        0.00798003,
        0.00912457,
        0.00810297,
        0.0078679,
        0.00845388,
        0.00908433,
        0.0092792,
        0.00887338,
        0.00759705,
        0.0076806,
        0.00785358,
        0.00806365,
        0.00857881,
        0.00828968,
        0.00838249,
        0.0098864,
        0.00936621,
        0.00863774,
        0.00800188,
        0.0082503,
        0.0081492,
        0.00800292,
        0.00805127,
        0.00754182,
        0.00720267,
        0.00711555,
        0.00737133,
        0.00713463,
        0.00713034,
        0.0081338,
        0.00861305,
        0.00869804,
        0.00850322,
        0.00880185,
        0.00907756,
        0.00936922,
        0.00971961,
        0.00939829,
        0.00920129,
        0.00941525,
        0.0115823,
        0.0109128,
        0.0102268,
        0.012313,
        0.0133347,
        0.0141541,
        0.0149678,
        0.0166966,
        0.0196243,
        0.0224987,
        0.0238802,
        0.0210754,
        0.0184118,
        0.0164966,
        0.0149743,
        0.0134955,
        0.0120336,
        0.0105638,
        0.010577,
        0.0101423,
        0.00908424,
        0.00868193,
        0.00906725,
        0.00921091,
        0.00781132,
        0.00821753,
        0.00812263,
        0.00734232,
        0.00777276,
        0.00842407,
        0.00901107,
        0.00917212,
        0.00776823,
        0.00758354,
        0.00875009,
        0.00744506,
        0.00717295,
        0.00754131,
        0.0082377,
        0.00773932,
        0.00708711,
        0.00656407,
        0.00738208,
        0.00722132,
        0.00692647,
        0.00761812,
        0.00745318,
        0.00764418,
        0.00823714,
        0.00652661,
        0.00696041,
        0.00787491,
        0.00708898,
        0.00705903,
        0.00708312,
        0.00701409,
        0.00671351,
        0.00692945,
        0.00740973,
        0.0078996,
        0.00758648,
        0.00823908,
        0.00792479,
        0.00734673,
        0.00669312,
        0.00680209,
        0.00771647,
        0.00848758,
        0.00777491,
        0.00765142,
        0.00779369,
        0.00804974,
        0.00709394,
        0.00693411,
        0.00729832,
        0.00799581,
        0.00740258,
        0.00737833,
        0.00814686,
        0.00765943,
        0.00723547,
        0.00691601,
        0.00680127,
        0.00774633,
        0.00794643,
        0.00713067,
        0.00691992,
        0.00779275,
        0.00865096,
        0.00792846,
        0.00767167,
        0.00764056,
        0.00786912,
        0.0092117,
        0.0103171,
        0.0110218,
        0.0109777,
        0.0108872,
        0.0104685,
        0.00982695,
        0.0109499,
        0.0111989,
        0.010916,
        0.0103365,
        0.0103255,
        0.0103905,
        0.0102763,
        0.00796325,
        0.00836114,
        0.00957925,
        0.00943372,
        0.00847222,
        0.00739717,
        0.00641866,
        0.00658183,
        0.0066871,
        0.00695915,
        0.00772554,
        0.00768908,
        0.00769694,
        0.00784502,
        0.00764956,
        0.00759345,
        0.00771867,
        0.00812993,
        0.00749484,
        0.00719158,
        0.00731123,
        0.00683255,
        0.00707779,
        0.00759548,
        0.0079853,
        0.00723399,
        0.00698325,
        0.00733764,
        0.00700014,
        0.00759445,
        0.00807707,
        0.00735334,
        0.00744844,
        0.00716708,
        0.00703517,
        0.00755104,
        0.00784716,
        0.00805091,
        0.00806298,
        0.00775685,
        0.00775538,
        0.00819178,
        0.00877108,
        0.00777357,
        0.00804534,
        0.00877508,
        0.00951185,
        0.0100977,
        0.0111441,
        0.0127588,
        0.0154428,
        0.0166271,
        0.0164659,
        0.0147562,
        0.0138864,
        0.0134529,
        0.013137,
        0.0116448,
        0.0116553,
        0.0119149,
        0.011762,
        0.0119794,
        0.0116085,
        0.0106719,
        0.00924158,
        0.00984288,
        0.0103499,
        0.00965612,
        0.00930265,
        0.00931781,
        0.0096172,
        0.00999629,
        0.0101057,
        0.0108625,
        0.012792,
        0.0122341,
        0.010707,
        0.00898303,
        0.00940647,
        0.00888178,
        0.00793556,
        0.00673117,
        0.00716148,
        0.00745839,
        0.00765245,
        0.00784792,
        0.00774021,
        0.00785126,
        0.00840054,
        0.00771529,
        0.00719331,
        0.00669487,
        0.00589145,
        0.00696818,
        0.00788126,
        0.00795909,
        0.00813481,
        0.00726841,
        0.00629158,
        0.00714637,
        0.00750776,
        0.00782266,
        0.00820226,
        0.00809314,
        0.00819595,
        0.00854467,
        0.00927406,
        0.00876912,
        0.00826509,
        0.00801174,
        0.00702937,
        0.00700437,
        0.0076455,
        0.0086685,
        0.00853988,
        0.00836718,
        0.00834315,
        0.00784467,
        0.00744435,
        0.00715464,
        0.00703817,
        0.00726949,
        0.00745421,
        0.00764557,
        0.00924044,
        0.00816027,
        0.00671153,
        0.00736708,
        0.00843882,
        0.00946749,
        0.0103021,
        0.0101309,
        0.0101629,
        0.0100562,
        0.00941871,
        0.00957064,
        0.0110831,
        0.0136005,
        0.0142927,
        null,
        0.00881422,
        0.00857763,
        0.00834103,
        0.00810444,
        0.00786785,
        0.00896583,
        0.00951953,
        0.00790638,
        0.00820415,
        0.00845298,
        0.00865432,
        0.00929409,
        0.00914173,
        0.00861066,
        0.00785665,
        0.00852259,
        0.00780043,
        0.00707759,
        0.00873819,
        0.00924865,
        0.00923916,
        0.00886068,
        0.00852176,
        0.0083587,
        0.00876797,
        0.0101799,
        0.00912372,
        0.00975652,
        0.0115828,
        0.0120592,
        0.0126135,
        0.0132438,
        0.0139425,
        0.0134671,
        0.0150723,
        0.0147427,
        0.015908,
        0.0139702,
        0.0132625,
        0.013357,
        0.0124216,
        0.0118903,
        0.0110063,
        0.00953923,
        0.00914901,
        0.00932219,
        0.00941124,
        0.00851601,
        0.00957688,
        0.00950037,
        0.00817497,
        0.00766271,
        0.00824711,
        0.00835245,
        0.00693293,
        0.00779743,
        0.00811938,
        0.00789659,
        0.00721015,
        0.00808726,
        0.00877578,
        0.0087886,
        0.007844,
        0.00778952,
        0.00789314,
        0.00731904,
        0.00866868,
        0.00932215,
        0.00905596,
        0.00787531,
        0.00923166,
        0.00995088,
        0.00844688,
        0.00814844,
        0.00764351,
        0.00716657,
        0.00720361,
        0.00747745,
        0.00760274,
        0.00749148,
        0.00706887,
        0.0073524,
        0.00777989,
        0.00790909,
        0.00767049,
        0.00790735,
        0.00832124,
        0.00772859,
        0.00756967,
        0.00774094,
        0.00822035,
        0.00846206,
        0.0073905,
        0.00656355,
        0.00822921,
        0.00798013,
        0.0079947,
        0.00828957,
        0.00696185,
        0.00713326,
        0.00792263,
        0.00891269,
        0.00820731,
        0.0079167,
        0.00814752,
        0.00920618,
        0.0085407,
        0.00775548,
        0.00728256,
        0.00720979,
        0.00758696,
        0.00766293,
        0.00663495,
        0.00755317,
        0.00737908,
        0.00655179,
        0.00747383,
        0.00664381,
        0.0062293,
        0.00709473,
        0.00762888,
        0.00739392,
        0.00704583,
        0.00753891,
        0.00841996,
        0.00782444,
        0.00616948,
        0.00748851,
        0.00678324,
        0.00599654,
        0.00634558,
        0.00727768,
        0.00730604,
        0.00711115,
        0.0083303,
        0.00797627,
        0.0074491,
        0.00714004,
        0.00756393,
        0.0071209,
        0.00656332,
        0.00656695,
        0.0071333,
        0.00800132,
        0.00863303,
        0.00724921,
        0.00825563,
        0.00854814,
        0.00704969,
        0.00784219,
        0.00838532,
        0.00849818,
        0.00782388,
        0.0074429,
        0.00742116,
        0.00771139,
        0.00800863,
        0.00848783,
        0.00851276,
        0.0076755,
        0.00696681,
        0.00736569,
        0.00788648,
        0.0065704,
        0.00739922,
        0.00789152,
        0.0075362,
        0.00633786,
        0.00633051,
        0.00681302,
        0.00731812,
        0.00764666,
        0.00760374,
        0.00727796,
        0.00684227,
        0.00693449,
        0.00685854,
        0.00653548,
        0.00782643,
        0.00815505,
        0.00797969,
        0.00768429,
        0.00706364,
        0.00665842,
        0.00664635,
        0.00763422,
        0.00841824,
        0.00852995,
        0.00778983,
        0.00770197,
        0.0077161,
        0.00784397,
        0.00812604,
        0.00799115,
        0.00796347,
        0.00798626,
        0.00742386,
        0.00816671,
        0.0085733,
        0.00775904,
        0.006813,
        0.00741171,
        0.00811437,
        0.00631754,
        0.00655891,
        0.00721592,
        0.00794568,
        0.00846918,
        0.00847008,
        0.00850868,
        0.00896038,
        0.00831468,
        0.00871269,
        0.00931484,
        0.00807871,
        0.00795444,
        0.00811094,
        0.00758339,
        0.00829321,
        0.00793756,
        0.00732155,
        0.00738919,
        0.00709013,
        0.00755622,
        0.00847078,
        0.00810369,
        0.00743958,
        0.00681362,
        0.00638651,
        0.00627337,
        0.00689925,
        0.0075923,
        0.00735258,
        0.00706923,
        0.00666793,
        0.00620068,
        0.00597668,
        0.00655002,
        0.00722143,
        0.00764544,
        0.00695838,
        0.00715079,
        0.00761673,
        0.00742405,
        0.00832892,
        0.00825938,
        0.00727012,
        0.00745027,
        0.00744078,
        0.00741229,
        0.00746386,
        0.00782489,
        0.0077817,
        0.00744858,
        0.00699743,
        0.00804448,
        0.00826132,
        0.0074788,
        0.00767906,
        0.00707727,
        0.00684626,
        0.00778662,
        0.0070399,
        0.00710985,
        0.00735548,
        0.00636812,
        0.00739247,
        0.00756924,
        0.00670058,
        0.00794072,
        0.007633,
        0.00702223,
        0.00692643,
        0.00764677,
        0.00800542,
        0.00811045,
        0.00821997,
        0.00743475,
        0.00725082,
        0.00781693,
        0.00799553,
        0.00754506,
        0.00733149,
        0.00796799,
        0.00720097,
        0.00725987,
        0.00769959,
        0.00752235,
        0.0074144,
        0.00729783,
        0.00720163,
        0.00750284,
        0.00760109,
        0.00741961,
        0.00685549,
        0.00796083,
        0.00803085,
        0.00765069,
        0.00829258,
        0.00820194,
        0.00766142,
        0.00687385,
        0.00688907,
        0.00763614,
        0.00822753,
        0.00802682,
        0.0095802,
        0.00922732,
        0.00789942,
        0.00770307,
        0.00804574,
        0.00775843,
        0.00726842,
        0.00748708,
        0.00734846,
        0.00692686,
        0.00828202,
        0.00770714,
        0.00722061,
        0.00812708,
        0.00742175,
        0.00739776,
        0.00780017,
        0.00810229,
        0.0077365,
        0.0074254,
        0.00728347,
        0.00719618,
        0.00684205,
        0.00640787,
        0.00599708,
        0.00736321,
        0.00807059,
        0.0080585,
        0.00706011,
        0.00772672,
        0.00771867,
        0.00693571,
        0.00723026,
        0.00754488,
        0.00804808,
        0.00884008,
        0.00769008,
        0.00696621,
        0.00670908,
        0.00704902,
        0.0072614,
        0.00726888,
        0.00724149,
        0.00813293,
        0.00709168,
        0.0065842,
        0.00780332,
        0.00754511,
        0.00773562,
        0.00788126,
        0.00722918,
        0.00786854,
        0.0084639,
        0.00868184,
        0.00781854,
        0.00806994,
        0.00811176,
        0.00739878,
        0.00690473,
        0.00748759,
        0.00864198,
        0.00983154,
        0.00992706,
        0.00958584,
        0.00898362,
        0.0085187,
        0.00883844,
        0.00921983,
        0.00935881,
        0.00865868,
        0.00832545,
        0.008194,
        0.00811887,
        0.00842887,
        0.00859231,
        0.00845658,
        0.00764787,
        0.007775,
        0.00789234,
        0.0077484,
        0.00766,
        0.0072487,
        0.00710656,
        0.00779155,
        0.00701342,
        0.0073607,
        0.0081126,
        0.00732576,
        0.00755675,
        0.00755934,
        0.00708332,
        0.0063819,
        0.00701447,
        0.00778316,
        0.00792334,
        0.00820148,
        0.00811684,
        0.00770202,
        0.00696698,
        0.00794724,
        0.00819888,
        0.00747598,
        0.00689683,
        0.0062458,
        0.00638909,
        0.00780113,
        0.00732049,
        0.00739445,
        0.00743375,
        0.00655687,
        0.00705245,
        0.00756784,
        0.00788821,
        0.00773522,
        0.00741213,
        0.00730955,
        0.0075622,
        0.00732612,
        0.00794378,
        0.00818225,
        0.00664994,
        0.00719103,
        0.00774173,
        0.00809536,
        0.00806625,
        0.00748325,
        0.00691444,
        0.00661472,
        0.00747073,
        0.00708278,
        0.00688561,
        0.00802478,
        0.00808689,
        0.00837609,
        0.00832646,
        0.00647933,
        0.00697846,
        0.00760933,
        0.00782069,
        0.00726993,
        0.00805965,
        0.0086484,
        0.00809682,
        0.00843368,
        0.00762573,
        0.00687078,
        0.00805906,
        0.00805354,
        0.00815951,
        0.00844471,
        0.00840217,
        0.0084319,
        0.0082742,
        0.00780318,
        0.00708059,
        0.00726216,
        0.00789595,
        0.00858702,
        0.00861711,
        0.00776683,
        0.00678161,
        0.00783099,
        0.00773094,
        0.00808027,
        0.00913931,
        0.00861969,
        0.00758838,
        0.00658036,
        0.00599232,
        0.0075266,
        0.00806479,
        0.00839864,
        0.0102991,
        0.0102909,
        0.00976,
        0.00918472,
        0.0100618,
        0.00967054,
        0.00928314,
        0.00946389,
        0.0077122,
        0.00734094,
        0.00747276,
        0.00694332,
        0.00776445,
        0.007613,
        0.00708974,
        0.00891172,
        0.00775969,
        0.00701991,
        0.00769242,
        0.0074906,
        0.00757832,
        0.00740719,
        0.00649016,
        0.00664836,
        0.00730455,
        0.00775642,
        0.00649098,
        0.00741935,
        0.00816652,
        0.00823601,
        0.00720939,
        0.00752421,
        0.00816272,
        0.00857554,
        0.00767888,
        0.00759282,
        0.00792758,
        0.0082143,
        0.00785231,
        0.00738443,
        0.00694858,
        0.00681072,
        0.00686393,
        null,
        0.00705463,
        0.00762923,
        0.00758092,
        0.0072326,
        0.00675918,
        0.0072469,
        0.00737178,
        0.00732423,
        0.00731066,
        0.00749376,
        0.00788259,
        0.00835698,
        0.00850046,
        0.00749594,
        0.00687668,
        0.0070102,
        0.00689615,
        0.00781931,
        0.00815518,
        0.00675798,
        0.00600909,
        0.00590628,
        0.00630593,
        0.00705703,
        0.00728899,
        0.0075168,
        0.00772701,
        0.007554,
        0.00735276,
        0.00767608,
        0.00858471,
        0.00752934,
        0.00721058,
        0.00701746,
        0.00644246,
        0.00775414,
        0.00835374,
        0.00826476,
        0.00758106,
        0.00733431,
        0.00724797,
        0.00723768,
        0.00712472,
        0.00793535,
        0.00837367,
        0.00798806,
        0.00796605,
        0.00746162,
        0.00711149,
        0.00763602,
        0.00799454,
        0.00759858,
        0.00694168,
        0.00728638,
        0.00770333,
        0.00775659,
        0.00750294,
        0.00785078,
        0.00782554,
        0.00755148,
        0.00710804,
        0.00753928,
        0.00798478,
        0.0080637,
        0.00729537,
        0.00733663,
        0.00833829,
        0.0079939,
        0.00769873,
        0.00748055,
        0.00717917,
        0.00736268,
        0.00731498,
        0.00708882,
        0.0080233,
        0.00786569,
        0.0073935,
        0.00699705,
        0.00726552,
        0.00797859,
        0.008487,
        0.00800407,
        0.00795478,
        0.00753438,
        0.00712726,
        0.00788583,
        0.00741067,
        0.00722518,
        0.00758374,
        0.00788975,
        0.00726111,
        0.0070953,
        0.00809284,
        0.00798527,
        0.00780612,
        0.00750188,
        0.00698998,
        0.00771113,
        0.00768283,
        0.00734426,
        0.00820415,
        0.0080259,
        0.00817152,
        0.00871606,
        0.0080532,
        0.00828042,
        0.00788016,
        0.00610302,
        0.00705948,
        0.00731807,
        0.0073642,
        0.00775393,
        0.00844102,
        0.00787218,
        0.00687515,
        0.00795119,
        0.0079976,
        0.00806107,
        0.00821898,
        0.00775467,
        0.00727244,
        0.00738083,
        0.00828481,
        0.00800224,
        0.00722711,
        0.00666225,
        0.00703209,
        0.00701944,
        0.00677843,
        0.00670043,
        0.00766699,
        0.00870472,
        0.00882221,
        0.00802329,
        0.00731417,
        0.00787384,
        0.00813066,
        0.00753741,
        0.0091677,
        0.00938993,
        0.00917008,
        0.00923163,
        0.00841743,
        0.00802548,
        0.00794948,
        0.00798689,
        0.00800783,
        0.00736332,
        0.00660966,
        0.00849552,
        0.00781848,
        0.00762294,
        0.00877097,
        0.00791177,
        0.00715006,
        0.00694533,
        0.00765109,
        0.00695179,
        0.00739561,
        0.00789297,
        0.00678439,
        0.00747784,
        0.00781216,
        0.00771764,
        0.00773,
        0.00838457,
        0.00881338,
        0.00892394,
        0.00963073,
        0.00972962,
        0.00994212,
        0.0106103,
        0.00914276,
        0.00892486,
        0.00903815,
        0.00838985,
        0.00784158,
        0.00785935,
        0.0083587,
        0.0091001,
        0.00873742,
        0.00887371,
        0.00938838,
        0.00801464,
        0.00797536,
        0.00852508,
        0.00938308,
        0.0106962,
        0.00966044,
        0.0083437,
        0.00838657,
        0.00919269,
        0.00903759,
        0.00833548,
        0.00784588,
        0.00788233,
        0.00832119,
        0.00895791,
        0.00915933,
        0.00855183,
        0.00840543,
        0.00891529,
        0.00829809,
        0.00842467,
        0.00890144,
        0.00948465,
        0.00811528,
        0.00813151,
        0.00834518,
        0.007328,
        0.00751165,
        0.00814219,
        0.00880325,
        0.00857416,
        0.00933304,
        0.00993025,
        0.0101256,
        0.00977266,
        0.00988115,
        0.0100997,
        0.0102806,
        0.0104357,
        0.0114028,
        0.0122256,
        0.0121227,
        0.0125613,
        0.0124409,
        0.0124653,
        0.0139158,
        0.0133304,
        0.0123655,
        0.0117797,
        0.0135433,
        0.0157105,
        0.0170595,
        0.0172257,
        0.016498,
        0.0184545,
        0.0216342,
        0.0252688,
        0.0257274,
        0.0307533,
        null,
        0.0373821,
        0.0353444,
        0.0374251,
        0.0334354,
        0.0246646,
        0.0263538,
        0.0239509,
        0.022159,
        0.0228286,
        0.0241884,
        0.0230145,
        0.021158,
        0.0199487,
        0.0240794,
        0.0276233,
        0.025982,
        0.0248487,
        0.024068,
        0.0223321,
        0.0207187,
        0.0188063,
        0.0166316,
        0.0162249,
        0.0157334,
        0.0151884,
        0.0145932,
        0.013267,
        0.0135625,
        0.0142316,
        0.0137374,
        0.0131328,
        0.0127142,
        0.0123667,
        0.011797,
        0.0119226,
        0.0116842,
        0.0111542,
        0.0113628,
        0.0106351,
        0.0101289,
        0.0102898,
        0.0115755,
        0.0111189,
        0.0104248,
        0.0102709,
        0.0101035,
        0.0113751,
        0.0120802,
        0.0101624,
        0.00962591,
        0.0096756,
        0.0106922,
        0.0135814,
        0.0127371,
        0.0121575,
        0.0120452,
        0.0115091,
        0.0102647,
        0.0101655,
        0.011171,
        0.0100863,
        0.00945001,
        0.00931265,
        0.00969083,
        0.0101816,
        0.0090907,
        0.00831513,
        0.0093334,
        0.00877262,
        0.00829824,
        0.00813458,
        0.00863101,
        0.00978778,
        0.0102311,
        0.00987743,
        0.00870167,
        0.0086431,
        0.00852832,
        0.00839071,
        0.00925836,
        0.00935319,
        0.00908924,
        0.00859171,
        0.00789023,
        0.00828135,
        0.00861375,
        0.00821834,
        0.00725384,
        0.0074698,
        0.00779371,
        0.00723276,
        0.00763157,
        0.00801413,
        0.00810784,
        0.00748475,
        0.00745145,
        0.00795597,
        0.00882056,
        0.00962967,
        0.0085312,
        0.00762206,
        0.0074062,
        0.00805964,
        0.0084711,
        0.0083755,
        0.00787192,
        0.00966798,
        0.00868599,
        0.00780338,
        0.00883617,
        0.00798911,
        0.00731116,
        0.00714757,
        0.00790513,
        0.00775361,
        0.00754464,
        0.00749718,
        0.00795919,
        0.00775002,
        0.0080926,
        0.00865778,
        0.00798957,
        0.00700045,
        0.00718474,
        0.00846231,
        0.00860015,
        0.00720641,
        0.00662268,
        0.0076854,
        0.00806057,
        0.00819598,
        0.00818537,
        0.00808446,
        0.00793611,
        0.00799046,
        0.00788538,
        0.00720949,
        0.00779831,
        0.00775181,
        0.0075672,
        0.00822794,
        0.00847706,
        0.00833707,
        0.0080904,
        0.00859831,
        0.00789547,
        0.00737129,
        0.00725695,
        0.0070381,
        0.00767791,
        0.0078591,
        0.00731326,
        0.00872014,
        0.00863325,
        0.00801069,
        0.00742992,
        0.00730912,
        0.00752227,
        0.00787743,
        0.00819632,
        0.00767,
        0.00792707,
        0.00837204,
        0.00798861,
        0.00813839,
        0.00791656,
        0.00739468,
        0.00694982,
        0.00711514,
        0.00746198,
        0.00799095,
        0.0090438,
        0.0083417,
        0.00782289,
        0.00793231,
        0.0072585,
        0.00772365,
        0.00842277,
        0.00885282,
        0.00812044,
        0.00739162,
        0.00717013,
        0.0078997,
        0.00697032,
        0.0072319,
        0.00783006,
        0.00762275,
        0.00668365,
        0.00704988,
        0.00787516,
        0.00711166,
        0.00789214,
        0.00798505,
        0.00750127,
        0.00793873,
        0.00750406,
        0.00716007,
        0.00705282,
        0.00676329,
        0.00675748,
        0.00724722,
        0.00814703,
        0.00755943,
        0.00778964,
        0.00805829,
        0.00789302,
        0.00750722,
        0.00794828,
        0.0084018,
        0.00806037,
        0.00778838,
        0.00761545,
        0.00751826,
        0.00746266,
        0.00827863,
        0.00813043,
        0.00723298,
        0.00634392,
        0.00685237,
        0.00732423,
        0.00754431,
        0.00758514,
        0.00753499,
        0.00745906,
        0.00730826,
        0.00670201,
        0.00716757,
        0.00756196,
        0.00789951,
        0.00815029,
        0.00878578,
        0.0102983,
        0.009426,
        0.00850119,
        0.00817448,
        0.00938537,
        0.00889269,
        0.0080344,
        0.00732331,
        0.00780265,
        0.00733277,
        0.00734889,
        0.00828124,
        0.00879769,
        0.00868044,
        0.00801344,
        0.00690213,
        0.00769695,
        0.00789734,
        0.00808844,
        0.00875875,
        0.00791369,
        0.00739819,
        0.00743632,
        0.00832847,
        0.00834237,
        0.00794066,
        0.00743241,
        0.00735474,
        0.00708939,
        0.00745353,
        0.00831707,
        0.009107,
        0.0085247,
        0.00762677,
        0.00680881,
        0.00689855,
        0.00724553,
        0.00775125,
        0.00818801,
        0.00722934,
        0.00747299,
        0.00791209,
        0.00810567,
        0.00823651,
        0.0074107,
        0.00687728,
        0.00743359,
        0.00716806,
        0.00701009,
        0.00716157,
        0.00784522,
        0.00743309,
        0.00743292,
        0.00766626,
        0.00788226,
        0.00889964,
        0.00841985,
        0.00716739,
        0.00677204,
        0.00705465,
        0.00790272,
        0.00880782,
        0.0083439,
        0.00827612,
        0.0081823,
        0.00797532,
        0.00762722,
        0.00676741,
        0.00697503,
        0.00826064,
        0.00745529,
        0.00732171,
        0.00741121,
        0.00749646,
        0.00704562,
        0.0082963,
        0.0074589,
        0.00685533,
        0.00786339,
        0.00845916,
        0.00905062,
        0.00968266,
        0.0100711,
        0.00887685,
        0.00826203,
        0.00869371,
        0.00803805,
        0.00818077,
        0.00829889,
        0.00806794,
        0.00857025,
        0.00888227,
        0.00918056,
        0.00952239,
        0.00810737,
        0.00860889,
        0.00955608,
        0.00971613,
        0.00945065,
        0.00954108,
        0.00977673,
        0.00989993,
        0.0102881,
        0.00995166,
        0.00927953,
        0.0090012,
        0.00979823,
        0.0103207,
        0.0105421,
        0.0107196,
        0.0107117,
        0.0102984,
        0.00994105,
        0.011127,
        0.0112003,
        0.0111384,
        0.0112533,
        0.0118967,
        0.0119013,
        0.0115822,
        0.0111624,
        0.0115345,
        0.0117502,
        0.0117303,
        0.0115221,
        0.0120922,
        0.0131155,
        0.0138369,
        0.0138255,
        0.013315,
        0.0140648,
        0.0154319,
        0.0169756,
        0.0181738,
        0.0186016,
        0.0184871,
        0.0180161,
        0.0205238,
        0.0216605,
        0.0215295,
        0.0203761,
        0.0239912,
        0.0270235,
        0.0292316,
        0.0305608,
        null,
        null,
        0.0182864,
        0.0200887,
        0.0200539,
        0.0194721,
        0.0201788,
        0.0189315,
        0.0224157,
        0.0255309,
        0.024147,
        0.0234229,
        0.0267934,
        0.0298868,
        0.0306191,
        null,
        0.0303565,
        0.0303786,
        0.0299952,
        0.0300127,
        0.0315026,
        0.0336685,
        0.0324248,
        0.0286031,
        0.0257786,
        0.0173524,
        0.0159354,
        0.0141598,
        0.0153162,
        0.0153,
        0.0150621,
        0.0149892,
        0.0130905,
        0.0129042,
        0.0144349,
        0.0167997,
        0.0156066,
        0.0138187,
        0.0133523,
        0.0141029,
        0.0142561,
        0.0140124,
        0.0146472,
        0.0155023,
        0.0149268,
        0.0160847,
        0.0164389,
        0.0159998,
        0.0150249,
        0.0153353,
        0.0136782,
        0.0132434,
        0.0164234,
        0.0159439,
        0.016143,
        0.0168289,
        0.0172463,
        0.0135444,
        0.013415,
        0.0138029,
        0.0146401,
        0.0189402,
        0.0187597,
        0.0190166,
        0.0199312,
        0.0199917,
        0.0178799,
        0.017079,
        0.0182637,
        0.0219159,
        0.0213552,
        0.0209084,
        0.0204308,
        0.0197722,
        0.0221216,
        0.0234704,
        0.0250716,
        0.0276783,
        0.0305755,
        0.0292707,
        null,
        0.0289365,
        0.0259903,
        0.0195335,
        0.0197148,
        0.0215423,
        0.0239023,
        0.0259562,
        0.0202229,
        0.0179381,
        0.017895,
        0.0180537,
        0.0193126,
        0.0150708,
        0.0135886,
        0.0125919,
        0.0133119,
        0.013849,
        0.013109,
        0.0119597,
        0.0113948,
        0.0114264,
        0.0108229,
        0.0106075,
        0.0114458,
        0.0123467,
        0.0122218,
        0.0117753,
        0.0114153,
        0.0114995,
        0.0109433,
        0.0108201,
        0.0113861,
        0.0126192,
        0.0121322,
        0.0113732,
        0.0108696,
        0.0112198,
        0.0105493,
        0.0102377,
        0.0105787,
        0.0116979,
        0.0109784,
        0.0100808,
        0.00958437,
        0.00985245,
        0.010474,
        0.0104374,
        0.0113312,
        0.0132302,
        0.0125068,
        0.0118098,
        0.0111364,
        0.010459,
        0.00970513,
        0.00886852,
        0.00958642,
        0.0110984,
        0.0116838,
        0.0102706,
        0.00972929,
        0.0094131,
        0.0084293,
        0.00939267,
        0.0106773,
        0.0107248,
        0.00890421,
        0.00911826,
        0.00868937,
        0.00935933,
        0.011115,
        0.00995695,
        0.00998708,
        0.0093977,
        0.00827244,
        0.00806159,
        0.00898738,
        0.00890588,
        0.00835357,
        0.0086643,
        0.00895328,
        0.00872169,
        0.00834671,
        0.00828041,
        0.00846665,
        0.00898388,
        0.00968419,
        0.0102892,
        0.00913208,
        0.00938291,
        0.00941763,
        0.00859258,
        0.00700685,
        0.00806949,
        0.00835408,
        0.00772277,
        0.00794099,
        0.00817851,
        null,
        0.00650697,
        0.00684961,
        0.00619473,
        0.00606985,
        0.00633257,
        0.00684151,
        0.00729115,
        0.00697009,
        0.00652916,
        0.00639784,
        0.00724682,
        0.00634935,
        0.00677734,
        0.00741474,
        0.00680594,
        0.00678467,
        0.00693911,
        0.0074812,
        0.00843338,
        0.00789501,
        0.0068573,
        0.00651535,
        0.00710154,
        0.00719243,
        0.00659219,
        0.00630318,
        0.0064924,
        0.00685594,
        0.00663409,
        0.00701744,
        0.00735363,
        0.00633985,
        0.00666525,
        0.0070866,
        0.0074855,
        0.00778299,
        0.00737932,
        0.00712242,
        0.0068749,
        0.00662073,
        0.00698199,
        0.00666493,
        0.00681292,
        0.00753207,
        0.00716093,
        0.00713215,
        0.00689378,
        0.00658164,
        0.00679221,
        0.00766177,
        0.00745462,
        0.00675692,
        0.00676827,
        0.00704405,
        0.00703877,
        0.00696424,
        0.00701263,
        0.00713301,
        0.00808185,
        0.00837443,
        0.00765583,
        0.00950335,
        0.00865187,
        0.0166141,
        0.0355606,
        0.067829,
        0.0469638,
        0.0217405,
        0.0124176,
        0.00780643,
        0.00674142,
        0.0063623,
        0.00606569,
        0.00646821,
        0.00709701,
        0.0070756,
        0.00669451,
        0.0066733,
        0.00674882,
        0.0061187,
        0.00559361,
        0.00599859,
        0.00658235,
        0.00676117,
        0.00683568,
        0.00692205,
        0.0061785,
        0.00658479,
        0.00693223,
        0.00687587,
        0.00684325,
        0.00652495,
        0.00650245,
        0.0068421,
        0.00736863,
        0.00687814,
        0.00643734,
        0.00626787,
        0.006546,
        0.00689025,
        0.00711367,
        0.00677379,
        0.00565798,
        0.00592495,
        0.00571032,
        0.00585081,
        0.00657165,
        0.00644367,
        0.00576974,
        0.00518476,
        0.0049846,
        0.005535,
        0.00664482,
        0.00648971,
        0.00580201,
        0.00665326,
        0.00666395,
        0.00635439,
        0.00591167,
        0.00551875,
        0.00576029,
        0.00563061,
        0.00559104,
        0.00599743,
        0.00706568,
        0.00695605,
        0.00658562,
        0.00633134,
        0.00621272,
        0.00609346,
        0.0059114,
        0.00589893,
        0.00665656,
        0.00694113,
        0.00644079,
        0.0056246,
        0.00529306,
        0.00609731,
        0.00592606,
        0.00583926,
        0.00667378,
        0.00534143,
        0.00511906,
        0.00526956,
        0.00537631,
        0.0055697,
        0.00574038,
        0.00546774,
        0.00495358,
        0.00542313,
        0.00619669,
        0.00616908,
        0.00591864,
        0.00686642,
        0.00651335,
        0.00609439,
        0.00599518,
        0.00654169,
        0.00747787,
        0.00695613,
        0.00626494,
        0.0062738,
        0.00635064,
        0.00721055,
        0.00752766,
        0.00688523,
        0.00576864,
        0.00606758,
        0.00650076,
        0.00668202,
        0.00643285,
        0.00666436,
        0.00642066,
        0.00596641,
        0.0058426,
        0.00595836,
        0.00604056,
        0.00585146,
        0.00527249,
        0.00557117,
        0.00651186,
        0.0070475,
        0.0067837,
        0.00708378,
        0.00712093,
        0.00690354,
        0.00653514,
        0.00636274,
        0.00648138,
        0.00648598,
        0.00647448,
        0.00675092,
        0.00676047,
        0.00710344,
        0.00781039,
        0.0087883,
        0.00790278,
        0.00743678,
        0.00711499,
        0.00681276,
        0.00717123,
        0.00685404,
        0.00677687,
        0.00704765,
        0.00667469,
        0.00726924,
        0.0071427,
        0.00625638,
        0.00548923,
        0.00653356,
        0.00670243,
        0.00663577,
        0.00758043,
        0.00585664,
        0.0059199,
        0.00669068,
        0.00719781,
        0.00635618,
        0.00686468,
        0.00724051,
        0.00687975,
        0.00660665,
        0.00688783,
        0.00692529,
        0.00648043,
        0.00549557,
        0.00617782,
        0.00598891,
        0.00527476,
        0.00518772,
        0.00624811,
        0.00673088,
        0.00696347,
        0.00735197,
        0.00796487,
        0.00738004,
        0.00661962,
        0.00638686,
        0.00697415,
        0.00604284,
        0.00576153,
        0.00643265,
        0.00633929,
        0.0069392,
        0.00677765,
        0.00632078,
        0.00702087,
        0.00661394,
        0.00628346,
        0.00646197,
        0.0075061,
        0.00716225,
        0.00687199,
        0.00667124,
        0.00659601,
        0.00672171,
        0.00733824,
        0.00728199,
        0.0065274,
        0.00732246,
        0.00727936,
        0.0072679,
        0.00727433,
        0.00679326,
        0.00603816,
        0.0058884,
        0.00619365,
        0.00654813,
        0.00657301,
        0.0069574,
        0.00781029,
        0.00719927,
        0.00651276,
        0.00619665,
        0.00659688,
        0.0068284,
        0.00638129,
        0.00619032,
        0.00733801,
        0.00757341,
        0.00677806,
        0.00590317,
        0.00565519,
        0.00610847,
        0.00586268,
        0.00599338,
        0.00647288,
        0.005281,
        0.00659543,
        0.00691691,
        0.00636014,
        0.00680149,
        0.00612378,
        0.00614546,
        0.00619462,
        0.00520393,
        0.00587042,
        0.00710049,
        0.00763306,
        0.00669253,
        0.00674346,
        0.00682248,
        0.00690104,
        0.00700605,
        0.00733508,
        0.00680546,
        0.00585917,
        0.00520725,
        0.0065489,
        0.00686074,
        0.00668231,
        0.00632829,
        0.00617515,
        0.0073764,
        0.00736177,
        0.00706469,
        0.00729162,
        0.00672763,
        0.00675975,
        0.00712603,
        0.00758143,
        0.00759911,
        0.00675779,
        0.00641725,
        0.00681873,
        0.00739506,
        0.00723545,
        0.00732206,
        0.00751439,
        0.00732127,
        0.00728574,
        0.00757358,
        0.00779193,
        0.00758104,
        0.00818107,
        0.00791634,
        0.00755244,
        0.00746531,
        0.0071303,
        0.00678581,
        0.00714822,
        0.00789425,
        0.00720864,
        0.00659364,
        0.00651792,
        0.00678715,
        0.00691294,
        0.00753272,
        0.00751632,
        0.0070181,
        0.00635454,
        0.00675319,
        0.00696084,
        0.00682639,
        0.00634284,
        0.00633685,
        0.00622616,
        0.006556,
        0.00711873,
        0.00638427,
        0.00651009,
        0.00667815,
        0.00671703,
        0.00656402,
        0.00654999,
        0.00678405,
        0.00742465,
        0.00862629,
        0.00719942,
        0.00734191,
        0.00725426,
        0.00599623,
        0.00655495,
        0.00689881,
        0.0072069,
        0.00744514,
        0.00715304,
        0.00758854,
        0.00719403,
        0.00628249,
        0.00623238,
        0.00680996,
        0.00662882,
        0.00640669,
        0.00722271,
        0.00705764,
        0.00676741,
        0.00648715,
        0.00633984,
        0.00651966,
        0.00613997,
        0.00560825,
        0.00530326,
        0.00612543,
        0.00632533,
        0.00651387,
        0.00668632,
        0.00648448,
        0.00737135,
        0.00712345,
        0.00656509,
        0.00712334,
        0.00634878,
        0.00536452,
        0.00508734,
        0.00610623,
        0.00659372,
        0.00673825,
        0.00668793,
        0.00648378,
        0.00597992,
        0.00550602,
        0.0053292,
        0.00558258,
        0.00646377,
        0.00672692,
        0.00660907,
        0.00639417,
        0.00643605,
        0.00625264,
        0.00575122,
        0.00535901,
        0.00537717,
        0.00522175,
        0.00645918,
        0.00726087,
        0.00688019,
        0.00613424,
        0.00577001,
        0.00551379,
        0.0055204,
        0.00637716,
        0.00718147,
        0.00701077,
        0.00663496,
        0.00741182,
        0.00685762,
        0.0066653,
        0.00661175,
        0.00651103,
        0.00705961,
        0.00805156,
        0.00776834,
        0.00600016,
        0.00587084,
        0.00640237,
        0.00678383,
        0.00704015,
        0.00786191,
        0.00777615,
        0.00752453,
        0.00712992,
        0.0065064,
        0.00623088,
        0.00650321,
        0.0070542,
        0.00761274,
        0.00798944,
        0.00757634,
        0.00732226,
        0.00764333,
        0.00806988,
        0.00795251,
        0.00798077,
        0.00809491,
        0.00760915,
        0.00704428,
        0.00688903,
        0.00715679,
        0.00774725,
        0.00790458,
        0.00788139,
        0.00800051,
        0.00851049,
        0.0085969,
        0.00847895,
        0.00807352,
        0.00747504,
        0.00747464,
        0.00689876,
        0.00701419,
        0.00773847,
        0.00785899,
        0.00707755,
        0.00702362,
        0.00758973,
        0.00829298,
        0.00765749,
        0.00706092,
        0.00685059,
        0.00688664,
        0.00608352,
        0.0068683,
        0.00698687,
        0.00702489,
        0.00750718,
        0.007629,
        0.00767307,
        0.00752213,
        0.00729959,
        0.00801674,
        0.00747796,
        0.00724444,
        0.00743614,
        0.00722891,
        0.00704239,
        0.00741644,
        0.00781482,
        0.00735078,
        0.00748216,
        0.00747422,
        0.00761846,
        0.00803691,
        0.00699969,
        0.0068452,
        0.00702728,
        0.00724823,
        0.00738919,
        0.00791527,
        0.00811906,
        0.00794639,
        0.00778251,
        0.00760694,
        0.00713485,
        0.00670733,
        0.00686994,
        0.0068629,
        0.0071046,
        0.00730776,
        0.00727427,
        0.0076975,
        0.0070007,
        0.00669231,
        0.00717386,
        0.00690994,
        0.0071475,
        0.00706719,
        0.00642037,
        0.00509407,
        0.00629364,
        0.0069245,
        0.00710065,
        0.00743309,
        0.00681331,
        0.00617844,
        0.00575034,
        0.00568117,
        0.00591998,
        0.00623684,
        0.0064717,
        0.00656519,
        0.00655218,
        0.00671371,
        0.00672712,
        0.00661231,
        0.00658165,
        0.00755594,
        0.00773352,
        0.00722172,
        0.00637079,
        0.00651774,
        0.00682758,
        0.00701159,
        0.00695712,
        0.00773999,
        0.00758334,
        0.00779175,
        0.00864351,
        0.00822259,
        0.00760127,
        0.00735728,
        0.00821048,
        0.00889894,
        0.00829303,
        0.00733253,
        0.00715334,
        0.00758998,
        0.00812051,
        0.00871401,
        0.00928936,
        0.00940261,
        0.00913738,
        0.00871655,
        0.00870871,
        0.0107483,
        0.00946903,
        0.00899113,
        0.00948968,
        0.0100573,
        0.009899,
        0.0111199,
        0.0123501,
        0.0121764,
        0.0126924,
        0.013167,
        0.0131874,
        0.0127059,
        0.0128732,
        0.0128534,
        0.0125768,
        0.0127874,
        0.0158084,
        0.0174359,
        0.0192553,
        0.0205783,
        0.0199058,
        0.0218181,
        0.0239725,
        null,
        0.0265847,
        0.0300696,
        0.03697,
        0.0387418,
        0.0355547,
        0.027666,
        0.0234732,
        0.0231515,
        0.0236996,
        0.0203017,
        0.0178589,
        0.016568,
        0.0163285,
        0.0164549,
        0.0159673,
        0.0143782,
        0.0121083,
        0.0146051,
        0.0154243,
        0.0153255,
        0.0145616,
        0.0131005
    ]
}