#![allow(missing_docs)] use augurs_prophet::{ cmdstan::CmdstanOptimizer, optimizer::OptimizeOpts, PredictionData, Prophet, ProphetOptions, SeasonalityOption, TimestampSeconds, TrainingData, }; use augurs_testing::assert_all_close; use criterion::{criterion_group, criterion_main, BatchSize, Criterion}; fn fit(c: &mut Criterion) { tracing_subscriber::fmt::init(); let opts = ProphetOptions { yearly_seasonality: SeasonalityOption::Manual(false), interval_width: 0.8.try_into().unwrap(), uncertainty_samples: 500, ..Default::default() }; let model = Prophet::new(opts, CmdstanOptimizer::new_embedded()); let training_data = TrainingData::new(TRAINING_DS.to_vec(), TRAINING_Y.to_vec()).unwrap(); c.bench_function("fit", |b| { b.iter_batched( || (model.clone(), training_data.clone()), |(mut model, training_data)| { model.fit( training_data, OptimizeOpts { seed: Some(100), ..Default::default() }, ) }, BatchSize::SmallInput, ); }); } fn predict(c: &mut Criterion) { let opts = ProphetOptions { yearly_seasonality: SeasonalityOption::Manual(false), interval_width: 0.8.try_into().unwrap(), uncertainty_samples: 500, ..Default::default() }; let mut model = Prophet::new(opts, CmdstanOptimizer::new_embedded()); let training_data = TrainingData::new(TRAINING_DS.to_vec(), TRAINING_Y.to_vec()).unwrap(); model .fit( training_data, OptimizeOpts { seed: Some(100), ..Default::default() }, ) .unwrap(); let prediction_data = PredictionData::new(PREDICTION_DS.to_vec()); c.bench_function("predict", |b| { b.iter_batched( || prediction_data.clone(), |pd| { model.predict(Some(pd)).unwrap(); }, BatchSize::SmallInput, ); }); let predictions = model.predict(Some(prediction_data)).unwrap(); assert_all_close(&predictions.yhat.point, EXPECTED); } static TRAINING_DS: &[TimestampSeconds] = &[ 1727168400, 1727169600, 1727170800, 1727172000, 1727173200, 1727174400, 1727175600, 1727176800, 1727178000, 1727179200, 1727180400, 1727181600, 1727182800, 1727184000, 1727185200, 1727186400, 1727187600, 1727188800, 1727190000, 1727191200, 1727192400, 1727193600, 1727194800, 1727196000, 1727197200, 1727198400, 1727199600, 1727200800, 1727202000, 1727203200, 1727204400, 1727205600, 1727206800, 1727208000, 1727209200, 1727210400, 1727211600, 1727212800, 1727214000, 1727215200, 1727216400, 1727217600, 1727218800, 1727220000, 1727221200, 1727222400, 1727223600, 1727224800, 1727226000, 1727227200, 1727228400, 1727229600, 1727230800, 1727232000, 1727233200, 1727234400, 1727235600, 1727236800, 1727238000, 1727239200, 1727240400, 1727241600, 1727242800, 1727244000, 1727245200, 1727246400, 1727247600, 1727248800, 1727250000, 1727251200, 1727252400, 1727253600, 1727254800, 1727256000, 1727257200, 1727258400, 1727259600, 1727260800, 1727262000, 1727263200, 1727264400, 1727265600, 1727266800, 1727268000, 1727269200, 1727270400, 1727271600, 1727272800, 1727274000, 1727275200, 1727276400, 1727277600, 1727278800, 1727280000, 1727281200, 1727282400, 1727283600, 1727284800, 1727286000, 1727287200, 1727288400, 1727289600, 1727290800, 1727292000, 1727293200, 1727294400, 1727295600, 1727296800, 1727298000, 1727299200, 1727300400, 1727301600, 1727302800, 1727304000, 1727305200, 1727306400, 1727307600, 1727308800, 1727310000, 1727311200, 1727312400, 1727313600, 1727314800, 1727316000, 1727317200, 1727318400, 1727319600, 1727320800, 1727322000, 1727323200, 1727324400, 1727325600, 1727326800, 1727328000, 1727329200, 1727330400, 1727331600, 1727332800, 1727334000, 1727335200, 1727336400, 1727337600, 1727338800, 1727340000, 1727341200, 1727342400, 1727343600, 1727344800, 1727346000, 1727347200, 1727348400, 1727349600, 1727350800, 1727352000, 1727353200, 1727354400, 1727355600, 1727356800, 1727358000, 1727359200, 1727360400, 1727361600, 1727362800, 1727364000, 1727365200, 1727366400, 1727367600, 1727368800, 1727370000, 1727371200, 1727372400, 1727373600, 1727374800, 1727376000, 1727377200, 1727378400, 1727379600, 1727380800, 1727382000, 1727383200, 1727384400, 1727385600, 1727386800, 1727388000, 1727389200, 1727390400, 1727391600, 1727392800, 1727394000, 1727395200, 1727396400, 1727397600, 1727398800, 1727400000, 1727401200, 1727402400, 1727403600, 1727404800, 1727406000, 1727407200, 1727408400, 1727409600, 1727410800, 1727412000, 1727413200, 1727414400, 1727415600, 1727416800, 1727418000, 1727419200, 1727420400, 1727421600, 1727422800, 1727424000, 1727425200, 1727426400, 1727427600, 1727428800, 1727430000, 1727431200, 1727432400, 1727433600, 1727434800, 1727436000, 1727437200, 1727438400, 1727439600, 1727440800, 1727442000, 1727443200, 1727444400, 1727445600, 1727446800, 1727448000, 1727449200, 1727450400, 1727451600, 1727452800, 1727454000, 1727455200, 1727456400, 1727457600, 1727458800, 1727460000, 1727461200, 1727462400, 1727463600, 1727464800, 1727466000, 1727467200, 1727468400, 1727469600, 1727470800, 1727472000, 1727473200, 1727474400, 1727475600, 1727476800, 1727478000, 1727479200, 1727480400, 1727481600, 1727482800, 1727484000, 1727485200, 1727486400, 1727487600, 1727488800, 1727490000, 1727491200, 1727492400, 1727493600, 1727494800, 1727496000, 1727497200, 1727498400, 1727499600, 1727500800, 1727502000, 1727503200, 1727504400, 1727505600, 1727506800, 1727508000, 1727509200, 1727510400, 1727511600, 1727512800, 1727514000, 1727515200, 1727516400, 1727517600, 1727518800, 1727520000, 1727521200, 1727522400, 1727523600, 1727524800, 1727526000, 1727527200, 1727528400, 1727529600, 1727530800, 1727532000, 1727533200, 1727534400, 1727535600, 1727536800, 1727538000, 1727539200, 1727540400, 1727541600, 1727542800, 1727544000, 1727545200, 1727546400, 1727547600, 1727548800, 1727550000, 1727551200, 1727552400, 1727553600, 1727554800, 1727556000, 1727557200, 1727558400, 1727559600, 1727560800, 1727562000, 1727563200, 1727564400, 1727565600, 1727566800, 1727568000, 1727569200, 1727570400, 1727571600, 1727572800, 1727574000, 1727575200, 1727576400, 1727577600, 1727578800, 1727580000, 1727581200, 1727582400, 1727583600, 1727584800, 1727586000, 1727587200, 1727588400, 1727589600, 1727590800, 1727592000, 1727593200, 1727594400, 1727595600, 1727596800, 1727598000, 1727599200, 1727600400, 1727601600, 1727602800, 1727604000, 1727605200, 1727606400, 1727607600, 1727608800, 1727610000, 1727611200, 1727612400, 1727613600, 1727614800, 1727616000, 1727617200, 1727618400, 1727619600, 1727620800, 1727622000, 1727623200, 1727624400, 1727625600, 1727626800, 1727628000, 1727629200, 1727630400, 1727631600, 1727632800, 1727634000, 1727635200, 1727636400, 1727637600, 1727638800, 1727640000, 1727641200, 1727642400, 1727643600, 1727644800, 1727646000, 1727647200, 1727648400, 1727649600, 1727650800, 1727652000, 1727653200, 1727654400, 1727655600, 1727656800, 1727658000, 1727659200, 1727660400, 1727661600, 1727662800, 1727664000, 1727665200, 1727666400, 1727667600, 1727668800, 1727670000, 1727671200, 1727672400, 1727673600, 1727674800, 1727676000, 1727677200, 1727678400, 1727679600, 1727680800, 1727682000, 1727683200, 1727684400, 1727685600, 1727686800, 1727688000, 1727689200, 1727690400, 1727691600, 1727692800, 1727694000, 1727695200, 1727696400, 1727697600, 1727698800, 1727700000, 1727701200, 1727702400, 1727703600, 1727704800, 1727706000, 1727707200, 1727708400, 1727709600, 1727710800, 1727712000, 1727713200, 1727714400, 1727715600, 1727716800, 1727718000, 1727719200, 1727720400, 1727721600, 1727722800, 1727724000, 1727725200, 1727726400, 1727727600, 1727728800, 1727730000, 1727731200, 1727732400, 1727733600, 1727734800, 1727736000, 1727737200, 1727738400, 1727739600, 1727740800, 1727742000, 1727743200, 1727744400, 1727745600, 1727746800, 1727748000, 1727749200, 1727750400, 1727751600, 1727752800, 1727754000, 1727755200, 1727756400, 1727757600, 1727758800, 1727760000, 1727761200, 1727762400, 1727763600, 1727764800, 1727766000, 1727767200, 1727768400, 1727769600, 1727770800, 1727772000, 1727773200, 1727774400, 1727775600, 1727776800, 1727778000, 1727779200, 1727780400, 1727781600, 1727782800, 1727784000, 1727785200, 1727786400, 1727787600, 1727788800, 1727790000, 1727791200, 1727792400, 1727793600, 1727794800, 1727796000, 1727797200, 1727798400, 1727799600, 1727800800, 1727802000, 1727803200, 1727804400, 1727805600, 1727806800, 1727808000, 1727809200, 1727810400, 1727811600, 1727812800, 1727814000, 1727815200, 1727816400, 1727817600, 1727818800, 1727820000, 1727821200, 1727822400, 1727823600, 1727824800, 1727826000, 1727827200, 1727828400, 1727829600, 1727830800, 1727832000, 1727833200, 1727834400, 1727835600, 1727836800, 1727838000, 1727839200, 1727840400, 1727841600, 1727842800, 1727844000, 1727845200, 1727846400, 1727847600, 1727848800, 1727850000, 1727851200, 1727852400, 1727853600, 1727854800, 1727856000, 1727857200, 1727858400, 1727859600, 1727860800, 1727862000, 1727863200, 1727864400, 1727865600, 1727866800, 1727868000, 1727869200, 1727870400, 1727871600, 1727872800, 1727874000, 1727875200, 1727876400, 1727877600, 1727878800, 1727880000, 1727881200, 1727882400, 1727883600, 1727884800, 1727886000, 1727887200, 1727888400, 1727889600, 1727890800, 1727892000, 1727893200, 1727894400, 1727895600, 1727896800, 1727898000, 1727899200, 1727900400, 1727901600, 1727902800, 1727904000, 1727905200, 1727906400, 1727907600, 1727908800, 1727910000, 1727911200, 1727912400, 1727913600, 1727914800, 1727916000, 1727917200, 1727918400, 1727919600, 1727920800, 1727922000, 1727923200, 1727924400, 1727925600, 1727926800, 1727928000, 1727929200, 1727930400, 1727931600, 1727932800, 1727934000, 1727935200, 1727936400, 1727937600, 1727938800, 1727940000, 1727941200, 1727942400, 1727943600, 1727944800, 1727946000, 1727947200, 1727948400, 1727949600, 1727950800, 1727952000, 1727953200, 1727954400, 1727955600, 1727956800, 1727958000, 1727959200, 1727960400, 1727961600, 1727962800, 1727964000, 1727965200, 1727966400, 1727967600, 1727968800, 1727970000, 1727971200, 1727972400, 1727973600, 1727974800, 1727976000, 1727977200, 1727978400, 1727979600, 1727980800, 1727982000, 1727983200, 1727984400, 1727985600, 1727986800, 1727988000, 1727989200, 1727990400, 1727991600, 1727992800, 1727994000, 1727995200, 1727996400, 1727997600, 1727998800, 1728000000, 1728001200, 1728002400, 1728003600, 1728004800, 1728006000, 1728007200, 1728008400, 1728009600, 1728010800, 1728012000, 1728013200, 1728014400, 1728015600, 1728016800, 1728018000, 1728019200, 1728020400, 1728021600, 1728022800, 1728024000, 1728025200, 1728026400, 1728027600, 1728028800, 1728030000, 1728031200, 1728032400, 1728033600, 1728034800, 1728036000, 1728037200, 1728038400, 1728039600, 1728040800, 1728042000, 1728043200, 1728044400, 1728045600, 1728046800, 1728048000, 1728049200, 1728050400, 1728051600, 1728052800, 1728054000, 1728055200, 1728056400, 1728057600, 1728058800, 1728060000, 1728061200, 1728062400, 1728063600, 1728064800, 1728066000, 1728067200, 1728068400, 1728069600, 1728070800, 1728072000, 1728073200, 1728074400, 1728075600, 1728076800, 1728078000, 1728079200, 1728080400, 1728081600, 1728082800, 1728084000, 1728085200, 1728086400, 1728087600, 1728088800, 1728090000, 1728091200, 1728092400, 1728093600, 1728094800, 1728096000, 1728097200, 1728098400, 1728099600, 1728100800, 1728102000, 1728103200, 1728104400, 1728105600, 1728106800, 1728108000, 1728109200, 1728110400, 1728111600, 1728112800, 1728114000, 1728115200, 1728116400, 1728117600, 1728118800, 1728120000, 1728121200, 1728122400, 1728123600, 1728124800, 1728126000, 1728127200, 1728128400, 1728129600, 1728130800, 1728132000, 1728133200, 1728134400, 1728135600, 1728136800, 1728138000, 1728139200, 1728140400, 1728141600, 1728142800, 1728144000, 1728145200, 1728146400, 1728147600, 1728148800, 1728150000, 1728151200, 1728152400, 1728153600, 1728154800, 1728156000, 1728157200, 1728158400, 1728159600, 1728160800, 1728162000, 1728163200, 1728164400, 1728165600, 1728166800, 1728168000, 1728169200, 1728170400, 1728171600, 1728172800, 1728174000, 1728175200, 1728176400, 1728177600, 1728178800, 1728180000, 1728181200, 1728182400, 1728183600, 1728184800, 1728186000, 1728187200, 1728188400, 1728189600, 1728190800, 1728192000, 1728193200, 1728194400, 1728195600, 1728196800, 1728198000, 1728199200, 1728200400, 1728201600, 1728202800, 1728204000, 1728205200, 1728206400, 1728207600, 1728208800, 1728210000, 1728211200, 1728212400, 1728213600, 1728214800, 1728216000, 1728217200, 1728218400, 1728219600, 1728220800, 1728222000, 1728223200, 1728224400, 1728225600, 1728226800, 1728228000, 1728229200, 1728230400, 1728231600, 1728232800, 1728234000, 1728235200, 1728236400, 1728237600, 1728238800, 1728240000, 1728241200, 1728242400, 1728243600, 1728244800, 1728246000, 1728247200, 1728248400, 1728249600, 1728250800, 1728252000, 1728253200, 1728254400, 1728255600, 1728256800, 1728258000, 1728259200, 1728260400, 1728261600, 1728262800, 1728264000, 1728265200, 1728266400, 1728267600, 1728268800, 1728270000, 1728271200, 1728272400, 1728273600, 1728274800, 1728276000, 1728277200, 1728278400, 1728279600, 1728280800, 1728282000, 1728283200, 1728284400, 1728285600, 1728286800, 1728288000, 1728289200, 1728290400, 1728291600, 1728292800, 1728294000, 1728295200, 1728296400, 1728297600, 1728298800, 1728300000, 1728301200, 1728302400, 1728303600, 1728304800, 1728306000, 1728307200, 1728308400, 1728309600, 1728310800, 1728312000, 1728313200, 1728314400, 1728315600, 1728316800, 1728318000, 1728319200, 1728320400, 1728321600, 1728322800, 1728324000, 1728325200, 1728326400, 1728327600, 1728328800, 1728330000, 1728331200, 1728332400, 1728333600, 1728334800, 1728336000, 1728337200, 1728338400, 1728339600, 1728340800, 1728342000, 1728343200, 1728344400, 1728345600, 1728346800, 1728348000, 1728349200, 1728350400, 1728351600, 1728352800, 1728354000, 1728355200, 1728356400, 1728357600, 1728358800, 1728360000, 1728361200, 1728362400, 1728363600, 1728364800, 1728366000, 1728367200, 1728368400, 1728369600, 1728370800, 1728372000, 1728373200, 1728374400, 1728375600, 1728376800, 1728378000, 1728379200, 1728380400, 1728381600, 1728382800, 1728384000, 1728385200, 1728386400, 1728387600, 1728388800, 1728390000, 1728391200, 1728392400, 1728393600, 1728394800, 1728396000, 1728397200, 1728398400, 1728399600, 1728400800, 1728402000, 1728403200, 1728404400, 1728405600, 1728406800, 1728408000, 1728409200, 1728410400, 1728411600, 1728412800, 1728414000, 1728415200, 1728416400, 1728417600, 1728418800, 1728420000, 1728421200, 1728422400, 1728423600, 1728424800, 1728426000, 1728427200, 1728428400, 1728429600, 1728430800, 1728432000, 1728433200, 1728434400, 1728435600, 1728436800, 1728438000, 1728439200, 1728440400, 1728441600, 1728442800, 1728444000, 1728445200, 1728446400, 1728447600, 1728448800, 1728450000, 1728451200, 1728452400, 1728453600, 1728454800, 1728456000, 1728457200, 1728458400, 1728459600, 1728460800, 1728462000, 1728463200, 1728464400, 1728465600, 1728466800, 1728468000, 1728469200, 1728470400, 1728471600, 1728472800, 1728474000, 1728475200, 1728476400, 1728477600, 1728478800, 1728480000, 1728481200, 1728482400, 1728483600, 1728484800, 1728486000, 1728487200, 1728488400, 1728489600, 1728490800, 1728492000, 1728493200, 1728494400, 1728495600, 1728496800, 1728498000, 1728499200, 1728500400, 1728501600, 1728502800, 1728504000, 1728505200, 1728506400, 1728507600, 1728508800, 1728510000, 1728511200, 1728512400, 1728513600, 1728514800, 1728516000, 1728517200, 1728518400, 1728519600, 1728520800, 1728522000, 1728523200, 1728524400, 1728525600, 1728526800, 1728528000, 1728529200, 1728530400, 1728531600, 1728532800, 1728534000, 1728535200, 1728536400, 1728537600, 1728538800, 1728540000, 1728541200, 1728542400, 1728543600, 1728544800, 1728546000, 1728547200, 1728548400, 1728549600, 1728550800, 1728552000, 1728553200, 1728554400, 1728555600, 1728556800, 1728558000, 1728559200, 1728560400, 1728561600, 1728562800, 1728564000, 1728565200, 1728566400, 1728567600, 1728568800, 1728570000, 1728571200, 1728572400, 1728573600, 1728574800, 1728576000, 1728577200, 1728578400, 1728579600, 1728580800, 1728582000, 1728583200, 1728584400, 1728585600, 1728586800, 1728588000, 1728589200, 1728590400, 1728591600, 1728592800, 1728594000, 1728595200, 1728596400, 1728597600, 1728598800, 1728600000, 1728601200, 1728602400, 1728603600, 1728604800, 1728606000, 1728607200, 1728608400, 1728609600, 1728610800, 1728612000, 1728613200, 1728614400, 1728615600, 1728616800, 1728618000, 1728619200, 1728620400, 1728621600, 1728622800, 1728624000, 1728625200, 1728626400, 1728627600, 1728628800, 1728630000, 1728631200, 1728632400, 1728633600, 1728634800, 1728636000, 1728637200, 1728638400, 1728639600, 1728640800, 1728642000, 1728643200, 1728644400, 1728645600, 1728646800, 1728648000, 1728649200, 1728650400, 1728651600, 1728652800, 1728654000, 1728655200, 1728656400, 1728657600, 1728658800, 1728660000, 1728661200, 1728662400, 1728663600, 1728664800, 1728666000, 1728667200, 1728668400, 1728669600, 1728670800, 1728672000, 1728673200, 1728674400, 1728675600, 1728676800, 1728678000, 1728679200, 1728680400, 1728681600, 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1729971567, 1729972167, 1729972767, 1729973367, 1729973967, 1729974567, 1729975167, 1729975767, 1729976367, 1729976967, 1729977567, 1729978167, 1729978767, 1729979367, 1729979967, 1729980567, 1729981167, 1729981767, 1729982367, 1729982967, 1729983567, 1729984167, 1729984767, 1729985367, 1729985967, 1729986567, 1729987167, 1729987767, 1729988367, 1729988967, 1729989567, 1729990167, 1729990767, 1729991367, 1729991967, 1729992567, 1729993167, 1729993767, 1729994367, 1729994967, 1729995567, 1729996167, 1729996767, 1729997367, 1729997967, 1729998567, 1729999167, 1729999767, 1730000367, 1730000967, 1730001567, 1730002167, 1730002767, 1730003367, 1730003967, 1730004567, 1730005167, 1730005767, 1730006367, 1730006967, 1730007567, 1730008167, 1730008767, 1730009367, 1730009967, 1730010567, 1730011167, 1730011767, 1730012367, 1730012967, 1730013567, 1730014167, 1730014767, 1730015367, 1730015967, 1730016567, 1730017167, 1730017767, 1730018367, 1730018967, 1730019567, 1730020167, 1730020767, 1730021367, 1730021967, 1730022567, 1730023167, 1730023767, 1730024367, 1730024367, ]; static EXPECTED: &[f64] = &[ 0.48566585406661034, 0.4869289919734001, 0.4877674840390682, 0.48818453401327133, 0.4881950505077839, 0.48782483115792274, 0.4871099852025509, 0.4860953241586685, 0.4848331846296787, 0.4833817593753338, 0.4818028584122658, 0.48016058653593063, 0.47851877100765705, 0.4769394136965275, 0.4754804726690054, 0.4741945303976536, 0.4731266666203737, 0.47231375426054, 0.4717830251902342, 0.47155135683715343, 0.47162521071732044, 0.47200000286102295, 0.47266104258596897, 0.47358357161283493, 0.4747340139001608, 0.47607117146253586, 0.47754736989736557, 0.47911044023931026, 0.4807051792740822, 0.48227544873952866, 0.48376576602458954, 0.4851234555244446, 0.48630012199282646, 0.48725324496626854, 0.4879477545619011, 0.48835688829421997, 0.488463394343853, 0.488259669393301, 0.48774827271699905, 0.4869418404996395, 0.48586221039295197, 0.48454030603170395, 0.4830145165324211, 0.481329757720232, 0.4795356746762991, 0.47768524661660194, 0.47583273239433765, 0.4740318339318037, 0.4723340142518282, 0.47078644298017025, 0.46943066641688347, 0.46830072067677975, 0.4674222096800804, 0.46681104227900505, 0.46647292748093605, 0.46640303172171116, 0.46658569388091564, 0.46699508279561996, 0.467595599591732, 0.4683431014418602, 0.469185933470726, 0.4700667839497328, 0.4709241967648268, 0.47169447876513004, 0.4723140522837639, 0.472720954567194, 0.4728575311601162, 0.47267183288931847, 0.47211974300444126, 0.4711665976792574, 0.46978825330734253, 0.4679724723100662, 0.4657193757593632, 0.46304203290492296, 0.4599661733955145, 0.4565301528200507, 0.4527837517671287, 0.44878739801060874, 0.444610589183867, 0.44033004995435476, 0.43602808844298124, 0.4317900352180004, 0.4277023281902075, 0.42384994216263294, 0.4203142262995243, 0.4171707406640053, 0.4144868776202202, 0.4123203307390213, 0.4107171632349491, 0.4097108952701092, 0.40932099148631096, 0.409552875906229, 0.41039736568927765, 0.4118308871984482, 0.4138164073228836, 0.41630400344729424, 0.41923257149755955, 0.4225312229245901, 0.4261213969439268, 0.4299190156161785, 0.43383653555065393, 0.43778563663363457, 0.441679360345006, 0.4454346795100719, 0.4489744657767005, 0.452229889575392, 0.45514179300516844, 0.45766250882297754, 0.4597570616751909, 0.46140354685485363, 0.46259419061243534, 0.46333478949964046, 0.46364472806453705, 0.4635558994486928, 0.4631119277328253, 0.4623664356768131, 0.46138134226202965, 0.46022508200258017, 0.4589701984077692, 0.457691497169435, 0.456463192589581, 0.4553572842851281, 0.45444097789004445, 0.4537747115828097, 0.4534106692299247, 0.4533908343873918, 0.4537461451254785, 0.4544953494332731, 0.45564468763768673, 0.45718780625611544, 0.4591057412326336, 0.4613678874447942, 0.4639326725155115, 0.46674924716353416, 0.4697584956884384, 0.4728954825550318, 0.4760908745229244, 0.4792733434587717, 0.4823717325925827, 0.48531673848629, 0.4880435988306999, 0.49049340188503265, 0.49261509254574776, 0.49436695873737335, 0.49571747705340385, 0.4966465048491955, 0.49714548513293266, 0.4972178116440773, 0.49687833711504936, 0.4961531274020672, 0.49507826194167137, 0.4936986342072487, 0.4920668303966522, 0.49024083837866783, 0.4882828891277313, 0.4862569496035576, 0.48422709479928017, 0.4822553023695946, 0.4803997315466404, 0.47871300019323826, 0.47724038548767567, 0.4760188087821007, 0.4750755149871111, 0.47442773915827274, 0.47408171743154526, 0.4740332793444395, 0.4742677006870508, 0.4747603312134743, 0.4754778351634741, 0.47637894935905933, 0.4774162694811821, 0.4785376228392124, 0.47968799248337746, 0.48081138730049133, 0.481852438300848, 0.4827585779130459, 0.4834814667701721, 0.48397883772850037, 0.4842155873775482, 0.484165258705616, 0.4838106110692024, 0.4831441715359688, 0.4821687787771225, 0.48089689016342163, 0.4793508108705282, 0.477561354637146, 0.47556718438863754, 0.47341321036219597, 0.4711493756622076, 0.4688287079334259, 0.46650554053485394, 0.4642338268458843, 0.462065014988184, 0.46004661079496145, 0.45822009164839983, 0.4566197441890836, 0.4552712766453624, 0.4541907040402293, 0.4533839854411781, 0.45284624258056283, 0.45256209652870893, 0.45250573428347707, 0.4526417450979352, 0.4529261542484164, 0.4533074335195124, 0.4537283810786903, 0.45412757946178317, 0.45444170851260424, 0.4546069912612438, 0.45456192269921303, 0.4542487468570471, 0.4536157283000648, 0.452618972864002, 0.4512237636372447, 0.4494062371086329, 0.4471541615203023, 0.4444679068401456, 0.44136051554232836, 0.43785802368074656, 0.4339987887069583, 0.4298327509313822, 0.4254204835742712, 0.4208314884454012, 0.4161428213119507, 0.41143669933080673, 0.40679866075515747, 0.40231532230973244, 0.39807164669036865, 0.3941492587327957, 0.39062364771962166, 0.38756246119737625, 0.3850233629345894, 0.3830527067184448, 0.38168396055698395, 0.380936823785305, 0.3808167651295662, 0.38131462037563324, 0.3824071064591408, 0.38405710458755493, 0.3862149007618427, 0.38881945982575417, 0.3917999565601349, 0.39507804811000824, 0.3985695615410805, 0.40218720585107803, 0.4058426208794117, 0.4094490520656109, 0.4129234217107296, 0.4161888509988785, 0.419176472350955, 0.42182721570134163, 0.4240936357527971, 0.4259405340999365, 0.42734640650451183, 0.4283033162355423, 0.42881721444427967, 0.4289075843989849, 0.4286063853651285, 0.42795727401971817, 0.4270138759166002, 0.42583828791975975, 0.42449885234236717, 0.42306840419769287, 0.4216214753687382, 0.42023262567818165, 0.4189737867563963, 0.4179121218621731, 0.4171083178371191, 0.41661439277231693, 0.41647252067923546, 0.41671355068683624, 0.4173563290387392, 0.4184072185307741, 0.4198597129434347, 0.42169502936303616, 0.4238824360072613, 0.4263806212693453, 0.4291384294629097, 0.43209705874323845, 0.43519144505262375, 0.4383522653952241, 0.4415083513595164, 0.44458825211040676, 0.4475230085590738, 0.45024761906825006, 0.4527032570913434, 0.45483896415680647, 0.4566128412261605, 0.45799350924789906, 0.4589606998488307, 0.45950596034526825, 0.4596325270831585, 0.4593554474413395, 0.45870058331638575, 0.45770402904599905, 0.4564107805490494, 0.45487314835190773, 0.45314939972013235, 0.4513015004340559, 0.44939352420624346, 0.44748940347017196, 0.4456511327298358, 0.44393692212179303, 0.44239917676895857, 0.4410832724533975, 0.4400259396061301, 0.439254617318511, 0.4387861546128988, 0.4386270409449935, 0.43877293076366186, 0.43920894991606474, 0.4399106064811349, 0.4408442913554609, 0.4419688256457448, 0.44323662482202053, 0.4445955096744001, 0.44599047861993313, 0.44736529395868274, 0.4486646712757647, 0.4498358345590532, 0.450830495916307, 0.45160615537315607, 0.4521278450265527, 0.4523688433691859, 0.45231182454153895, 0.45194944087415934, 0.4512841096147895, 0.4503285337705165, 0.44910468463785946, 0.44764343480346724, 0.4459832051070407, 0.4441689820960164, 0.44225052651017904, 0.4402807089500129, 0.43831387627869844, 0.43640373554080725, 0.43460183404386044, 0.4329553674906492, 0.4315058272331953, 0.43028739280998707, 0.4293255377560854, 0.42863638140261173, 0.4282255582511425, 0.42808822914958, 0.42820877954363823, 0.4285613428801298, 0.4291104804724455, 0.42981192097067833, 0.43061416782438755, 0.43145974911749363, 0.4322873679921031, 0.4330332512035966, 0.4336338313296437, 0.4340272396802902, 0.43415568582713604, 0.43396740034222603, 0.4334181835874915, 0.4324733428657055, 0.43110876716673374, 0.42931222170591354, 0.42708379216492176, 0.42443657852709293, 0.42139639519155025, 0.4180014096200466, 0.4143015518784523, 0.41035712510347366, 0.4062376990914345, 0.40201999247074127, 0.3977861851453781, 0.3936217986047268, 0.3896130211651325, 0.38584501668810844, 0.3823990449309349, 0.37935060262680054, 0.376767061650753, 0.3747061863541603, 0.3732139393687248, 0.37232378125190735, 0.3720553368330002, 0.3724137917160988, 0.3733900710940361, 0.3749605119228363, 0.3770880699157715, 0.37972278892993927, 0.3828034773468971, 0.38625937327742577, 0.3900117687880993, 0.3939765393733978, 0.3980661369860172, 0.402192197740078, 0.4062676951289177, 0.410209596157074, 0.41394082456827164, 0.41739229299128056, 0.4205050449818373, 0.4232311900705099, 0.42553573846817017, 0.42739682644605637, 0.42880649119615555, 0.42977068573236465, 0.4303085058927536, 0.43045203760266304, 0.43024467676877975, 0.42974005080759525, 0.42899999767541885, 0.42809299007058144, 0.4270914252847433, 0.426070025190711, 0.4251031279563904, 0.42426246777176857, 0.42361531034111977, 0.4232220370322466, 0.42313471250236034, 0.4233952909708023, 0.4240345899015665, 0.4250714424997568, 0.42651194147765636, 0.4283496364951134, 0.430565532296896, 0.4331289604306221, 0.43599828239530325, 0.4391225236468017, 0.442442680709064, 0.4458935134462081, 0.4494058610871434, 0.45290814572945237, 0.456329170614481, 0.45959965977817774, 0.46265468932688236, 0.4654352702200413, 0.467890378087759, 0.4699781332165003, 0.4716669712215662, 0.4729366786777973, 0.47377859614789486, 0.4741961099207401, 0.4742039926350117, 0.47382817789912224, 0.4731047060340643, 0.4720784015953541, 0.47080172970891, 0.46933270804584026, 0.4677334036678076, 0.4660677295178175, 0.4643996339291334, 0.46279116719961166, 0.46130031906068325, 0.45997961331158876, 0.45887424051761627, 0.45802114252001047, 0.4574474021792412, 0.45717013999819756, 0.4571957029402256, 0.45751963555812836, 0.4581272527575493, 0.4589938363060355, 0.4600859126076102, 0.4613621709868312, 0.4627751335501671, 0.4642725270241499, 0.46579934284090996, 0.4672994241118431, 0.4687173720449209, 0.4700005315244198, 0.4711004588752985, 0.4719748757779598, 0.472588611766696, 0.47291504219174385, 0.47293697111308575, 0.4726467728614807, 0.472047196701169, 0.47115073539316654, 0.4699795227497816, 0.4685643073171377, 0.4669437129050493, 0.46516266092658043, 0.4632708840072155, 0.46132139675319195, 0.4593684347346425, 0.4574659438803792, 0.4556653033941984, 0.45401386450976133, 0.4525531576946378, 0.451317282859236, 0.4503319738432765, 0.44961318001151085, 0.4491667391266674, 0.4489877375308424, 0.44906073645688593, 0.4493598276749253, 0.44984963117167354, 0.4504860215820372, 0.45121741155162454, 0.4519866299815476, 0.45273211039602757, 0.45339047629386187, 0.45389798376709223, 0.45419292338192463, 0.45421766210347414, 0.45392031967639923, 0.453256921377033, 0.45219272654503584, 0.4507038197480142, 0.4487778879702091, 0.4464152832515538, 0.4436290869489312, 0.44044513860717416, 0.4369018077850342, 0.43304895889014006, 0.4289471786469221, 0.4246659278869629, 0.4202820956707001, 0.41587806679308414, 0.41153915598988533, 0.4073519743978977, 0.40340153872966766, 0.3997693359851837, 0.3965308181941509, 0.39375369995832443, 0.3914954997599125, 0.38980257883667946, 0.38870837539434433, 0.3882325142621994, 0.3883805349469185, 0.38914313167333603, 0.390497051179409, 0.39240512996912, 0.39481760188937187, 0.39767346158623695, 0.4009018614888191, 0.40442436933517456, 0.408156830817461, 0.41201192140579224, 0.41590123623609543, 0.4197380617260933, 0.4234392922371626, 0.42692795023322105, 0.4301352743059397, 0.4330020807683468, 0.4354809122160077, 0.4375366484746337, 0.43914768332615495, 0.44030609680339694, 0.4410178321413696, 0.44130236050114036, 0.4411916360259056, 0.4407293079420924, 0.43996896408498287, 0.4389727865345776, 0.4378090240061283, 0.43655048310756683, 0.43527186568826437, 0.4340475294739008, 0.4329495206475258, 0.43204500433057547, 0.43139461148530245, 0.4310503927990794, 0.43105446361005306, 0.43143783416599035, 0.4322192622348666, 0.43340509105473757, 0.4349888525903225, 0.436951769515872, 0.4392631221562624, 0.44188155187293887, 0.4447560926200822, 0.44782774802297354, 0.4510316136293113, 0.4542982950806618, 0.4575566379353404, 0.46073530055582523, 0.46376524679362774, 0.4665814973413944, 0.4691253323107958, 0.47134572453796864, 0.4732008259743452, 0.47465928085148335, 0.4757008086889982, 0.47631704434752464, 0.47651124745607376, 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