question
stringclasses
91 values
options
sequencelengths
2
4
answer
stringlengths
1
182
question_type
stringclasses
3 values
ts1
sequencelengths
1.02k
1.08k
ts2
sequencelengths
1.02k
1.2k
tid
int64
1
102
difficulty
stringclasses
3 values
format_hint
stringclasses
1 value
relevant_concepts
sequencelengths
1
8
question_hint
stringclasses
90 values
category
stringclasses
5 values
subcategory
stringclasses
13 values
id
int64
1
746
ts
sequencelengths
1.02k
1.2k
Is the given time series strictly stationary?
[ "No", "Yes" ]
No
binary
null
null
30
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity" ]
Try to see if the time series has a constant mean, and degree of variation over time.
Pattern Recognition
Stationarity Detection
401
[ 0.09541282073674959, 0.5476904700392449, 0.7144494699940769, 0.9224897436577372, 1.2713274427602268, 1.4574849536481458, 1.88442785645871, 1.9603733561870786, 2.0660268145330125, 2.343758502209646, 2.379346287050169, 2.4529355049086807, 2.2894019836689803, 2.4806388135028534, 2.410702678805116, 2.0062936042196835, 1.819120701168334, 1.7395574308647588, 1.5070697232809787, 1.2522011727712492, 0.7880924347230693, 0.5999825032648956, 0.13452276400778632, -0.2045093349511586, -0.31192685161585787, -0.828924591314989, -1.2582696585168816, -1.5081958735749135, -1.7352902339537402, -2.025624045048942, -2.1922577285381344, -2.300238498838965, -2.363014455587821, -2.3490736973948567, -2.487947756739461, -2.5509993283028325, -2.3311002348021654, -2.2200479461900984, -2.142042009808819, -1.7110299736261636, -1.824509647963239, -1.1428512535156026, -1.0731634215751031, -0.5350540600027848, -0.2826940901757094, -0.011187651050036142, 0.29989753017393855, 0.6031516926428464, 0.9146894725793826, 1.2181581759166855, 1.5866429006741118, 1.975451230390137, 1.9971129278548954, 1.9792213039294584, 2.329187705055927, 2.371899822034023, 2.4718043341369205, 2.5083625303712633, 2.337971164675804, 2.2912514769922554, 2.209528350801279, 1.8522104125743541, 1.5723359548612421, 1.5095299830700613, 1.3375346463805706, 0.9946740756254517, 0.76987272193216, 0.2764054789560392, 0.05771341720567452, -0.37161242349887774, -0.6301202962001909, -1.1728070220779023, -1.4103709803440936, -1.6618805794802418, -1.762746444101309, -1.8596362915630746, -2.3917670813770404, -2.419469002385013, -2.2908385690221116, -2.6412366216153966, -2.3646586955860123, -2.3530058659471704, -2.2543935932384995, -2.201177530635684, -1.9186380378939745, -1.6036293276396805, -1.3105070944716593, -1.0889543545264273, -0.8169261879135512, -0.6029767273127055, -0.2160003169584025, 0.16186639944873274, 0.5446794841877138, 0.9110667046591076, 1.232404685571872, 1.678980613256332, 1.8015846518245093, 2.121048502470671, 2.1710998384437374, 2.4995071070158255, 2.3497760899619005, 2.5431039337338337, 2.3231354773384782, 2.4403470381791417, 2.529448876125268, 2.2689013504607978, 2.040129759722095, 1.8642205473717681, 1.5572177885123382, 1.0775846637524098, 0.9364168471161801, 0.6212355355657827, 0.25107849226812096, 0.1620470089114055, -0.5229762389519336, -0.6750917151700289, -1.2823910968199415, -1.4271884619938244, -1.718964481444538, -1.8184772918429837, -2.185310225778609, -2.179988233051846, -2.4958822566909378, -2.5528560552718385, -2.4322825768683805, -2.452476284751083, -2.4507810819023934, -2.2326890031256896, -1.8667336239714176, -2.0688726112277855, -1.7147116140606622, -1.5244714021580936, -1.2398834514462558, -0.766629793591538, -0.5282888784218195, -0.199679344377992, 0.17377996088045752, 0.406681839322821, 0.8054811674715545, 1.0398141459829118, 1.5364561425348224, 1.8218307126514866, 1.78692605484718, 2.2257075626048817, 2.22651761892758, 2.1801079806340633, 2.5194537307903793, 2.419071638412852, 2.308072619609132, 2.3990138337386013, 2.1811240787310773, 1.9142690798364683, 1.8013575769731043, 1.5887054377259064, 1.382768784246608, 1.0315003411910926, 0.7097002231648253, 0.38992671512083543, -0.034481801316190726, -0.33615212436038844, -0.5087639663865666, -0.9945733561583738, -1.1823812984911377, -1.3011531098010019, -1.8728928128193223, -1.8944284429472587, -2.1564935264580467, -2.2120215573713984, -2.539632429172435, -2.490915611291658, -2.519431553990705, -2.479343010919199, -2.3744145809304666, -2.1546094194808907, -1.988597496632624, -1.7840864085921788, -1.5839329126855946, -1.233217584753834, -0.841407603952661, -0.6353549466743199, -0.25904176246237104, -0.05918010476601013, 0.4641099243032454, 0.979377381556362, 0.9329958382785226, 1.183830111864127, 1.6634630423679653, 1.9273173466097269, 2.208981649292455, 2.2945364912071904, 2.333800075584854, 2.403863565183084, 2.47638768648946, 2.3536320127741854, 2.3901768575065288, 2.2426805221887918, 1.9739821731420946, 1.9145431266158457, 1.425825863811196, 1.2584665748546975, 1.2044767383865267, 0.6333693960827499, 0.44792008570259156, -0.04786553356384801, -0.32853078846969486, -0.7862559035226085, -0.948464337319239, -1.392141948120218, -1.4431432766714172, -1.771393641012586, -2.0589796475933335, -2.011340383585846, -2.382115585050577, -2.332901139140598, -2.331505377562719, -2.489590132536497, -2.420293650684878, -2.4089750970516044, -2.2399147979522396, -2.1433597503301938, -1.9285686585193027, -1.476252269033898, -1.4026508967284097, -1.0927214766592022, -0.7260561287664863, -0.18394666676808047, 0.002782194200584412, 0.5201130351906746, 0.5509811548131508, 1.202588068263233, 1.4865445587323407, 1.5474637861643408, 2.032758099245655, 2.0298193039277437, 2.3230050836929856, 2.387220324893493, 2.4332554565707225, 2.443445935438111, 2.5028048937729364, 2.5040809913718904, 2.2063883557048602, 2.0956052908620593, 1.9061853162831885, 1.5990497589540196, 1.393201464451002, 1.0881239418745483, 0.8395270923198802, 0.4417271471112213, 0.1284359843475942, -0.30418619796791146, -0.6094733222506774, -0.8346657408156388, -1.4019533506201431, -1.4910094747222937, -1.6527751814510856, -1.9959604961279687, -2.2590674527788526, -2.2345433434927884, -2.4789497993090146, -2.2931779128704695, -2.4909747960662565, -2.2594390123147208, -2.254777011609443, -2.2341657680432827, -2.0208281071406335, -1.817558063519539, -1.713673009653407, -1.369184335372168, -0.9185017744497593, -0.5765176160671464, -0.07195186279397597, 0.1089915490979822, 0.22121205910032363, 0.706014228305926, 0.8885747237745459, 1.2315442730077883, 1.5460346009637511, 1.8221621475194938, 2.1102664779739384, 2.233201175791103, 2.3072114690140992, 2.412537750619467, 2.5174466288119914, 2.4651415880917917, 2.595895251210814, 2.355901445187943, 1.9578222850922913, 2.126814084139646, 1.7947261686909637, 1.4998634559101696, 1.1753830988512535, 0.8368960856239069, 0.45210837364008, 0.14344941264774805, -0.2593458477228002, -0.3957356284886529, -0.8042220880526464, -1.2000111518063465, -1.4715879866018762, -1.444077999497707, -1.919791567296837, -2.03529109777064, -2.321611330817753, -2.3507340137348134, -2.539486759738476, -2.51742940232915, -2.3482323220742645, -2.2534683126001065, -2.107027351330856, -2.1851237539622788, -1.8178175062032933, -1.6940460131487556, -1.3675232473658152, -1.0900442164804813, -0.8669832873622221, -0.3727987789266597, -0.07246511118970639, 0.37474239397990783, 0.5935182840721005, 1.190361979333141, 1.2120146032565096, 1.5569071161764654, 1.6556245683842366, 2.11371392405034, 2.205995418235842, 2.412648506790223, 2.4329956793016434, 2.360837421146377, 2.4664077370088124, 2.3956345366676435, 2.1089270233899953, 2.2404010961634007, 2.2207023935604595, 1.8464488995863868, 1.6337791623571876, 1.0831106893144153, 1.0324044182705718, 0.6033209967262769, 0.18118254942784093, -0.11311103767592735, -0.6537679006519136, -0.7724101230087518, -1.1482261699615413, -1.4178289444283676, -1.7170773002926945, -1.8563160844530149, -2.104790309944379, -2.4272060120670895, -2.3569290151804756, -2.500574082869138, -2.436677724667423, -2.3302019431575665, -2.4440794186395567, -2.225870283390474, -2.133344557289098, -1.800539208608848, -1.6778565313311553, -1.27258928850569, -1.0126264365462765, -0.8200829975535343, -0.4305355019433536, -0.02507079900329743, 0.2847563864482872, 0.6080140793852322, 1.0794053021210874, 1.1126881574449319, 1.647045426054024, 1.7164641277077684, 2.099666074326127, 2.135065633810439, 2.3118973346131195, 2.249370704206955, 2.4723374795347555, 2.472228560214002, 2.358810504376606, 2.3788387905599233, 2.059552201828024, 2.0276493677550014, 1.746234170958309, 1.673773779807347, 1.2543225001429705, 0.819287154954748, 0.595347651017477, 0.32887869929412705, -0.11586503498870351, -0.38704052623676094, -0.7475473392155589, -1.2483409477281546, -1.256321424774533, -1.5999600018318982, -1.8718577648360764, -2.1551921757069152, -2.256538290079651, -2.5101834324006274, -2.5923716256540517, -2.458958245835153, -2.3781304955719573, -2.2147554788416555, -2.353916716139084, -2.3297313707801957, -1.837091737931587, -1.683474912018712, -1.3920295697111489, -1.158762143269053, -0.9116525525988878, -0.5045134852320889, -0.12438443687784842, 0.13028383608748065, 0.5145936553956595, 0.9643721091493395, 1.4152334197672674, 1.503951089996728, 1.7848732712992164, 1.9754656992471906, 2.2857775179222397, 2.437679560994026, 2.4216115883234233, 2.3271290705959604, 2.4469481235300816, 2.4984066639659104, 2.38239936090111, 2.2201413306456454, 2.0543546353613675, 1.8265174826498174, 1.5499499648135693, 1.360857167094989, 1.0170660087950814, 0.5478823846161623, 0.3763542685806851, 0.03458869890652067, -0.4378908386443445, -0.8550782780537278, -1.1003113947904732, -1.4477231752577222, -1.7286594890786042, -2.0433495874816416, -1.9374674394184652, -2.2689547112880417, -2.375458421461282, -2.4836402620153746, -2.5294777087005387, -2.2253712326185338, -2.231125444253874, -2.3881052728643195, -2.242964716907531, -2.069828861021305, -1.7261814705509673, -1.5548265651382895, -1.2406121808127486, -1.00762847402824, -0.445190530609537, -0.22309263049888325, 0.16756800285535378, 0.6114536060116673, 0.9393935492069574, 1.1032548327354617, 1.452897823082013, 1.7674742867081266, 1.930016658691515, 1.9980748914492177, 2.3478628776858783, 2.5300710930308234, 2.561534442177007, 2.280321553105796, 2.356284847566694, 2.3728816938377486, 2.1999011020506867, 2.1090856394221587, 1.5708719688296724, 1.496946063802138, 1.4317886366139496, 0.8487694225280624, 0.6643087658601552, 0.5645649787321041, 0.02563313502041436, -0.37506104649994365, -0.5231298284961566, -1.0340635505881905, -1.2328536166195778, -1.561596493413566, -1.785457540108478, -2.0835750679526623, -2.1435892971436004, -2.2539211091113214, -2.301534084710789, -2.5355176588546917, -2.6142515767674803, -2.3624712789270466, -2.3120317347180976, -2.0087851913348036, -2.0761487783284296, -1.7792836049287133, -1.724053807301706, -1.1841495351891265, -0.8759562378311816, -0.5740601721786248, -0.19970188981985326, 0.12532883848243265, 0.46114447800200103, 0.7413914598446953, 1.0593636659429722, 1.3962491557358303, 1.6139539675759802, 1.8786536806833696, 2.175290478120746, 2.168344623823942, 2.32333176406167, 2.2781508044629604, 2.179853142935375, 2.5465295469871747, 2.3069892032581847, 2.1898463791508034, 2.0849102821925345, 1.9356405387246125, 1.814334910724854, 1.3892162935644614, 1.0959566046114173, 0.7422628632693623, 0.33992215653545654, -0.08476872759327543, -0.17276074025478827, -0.5302000925920789, -1.0431835016274398, -1.2330037207839848, -1.6049624783126863, -1.681598976748315, -2.0387971046648676, -2.1938031324127016, -2.215117795640445, -2.4517923058152764, -2.4353505877167274, -2.521156545250502, -2.4834440295120563, -2.3679466122816843, -2.2127162179779423, -1.8535849405539235, -1.7542481970993016, -1.5290998714655346, -1.0905312776110236, -0.9543369503173896, -0.6272417846881377, -0.15712335611011075, 0.05493990768514778, 0.3500020756074256, 0.7443949129585594, 1.0992693427592064, 1.2727462775894796, 1.7376657536664066, 1.9202971118343641, 2.010599604743248, 2.287266553699964, 2.538215579874144, 2.4695971056544512, 2.4311722137341594, 2.5059964240630173, 2.280054045241518, 2.3480973251831183, 2.1625762280943204, 2.0139010462640483, 1.6510832746109467, 1.556985092034715, 1.2019017090398478, 0.8086055261735792, 0.4639857813641642, 0.12682734721300534, -0.21568436142564898, -0.4585795093845675, -0.9141411648060768, -1.332412306757768, -1.2908322533195467, -1.7044344642270166, -1.934472667986255, -2.2455878332386985, -2.273512351191758, -2.3686178799734776, -2.364923630706471, -2.5522284452774158, -2.354649869994222, -2.330764623474973, -2.1671998792742104, -1.8794858026174717, -1.652810793693086, -1.445658028596056, -1.4153591526798965, -1.0788040792362352, -0.6762153240416434, -0.16873111983829997, 0.027343822289844177, 0.28940797499157833, 0.7789499392483821, 1.0203999041726282, 1.3482762295030124, 1.5329344934009779, 1.8894623478376, 2.102565266878326, 2.2851978583495436, 2.441604158653175, 2.418361298102625, 2.4730509451058627, 2.38311656582956, 2.358804269002338, 2.220614106270399, 2.1811002058706292, 1.9909971836222575, 1.6405640143765328, 1.4788641084014151, 1.2506201591521144, 0.8471670889767008, 0.6065127753547703, 0.26248767436235104, -0.2686936006714837, -0.6604250591605698, -0.9577763460602957, -1.0712510230770211, -1.3316122785253794, -1.72498595814549, -1.9977373214974652, -2.0805173353629223, -2.261064787677347, -2.612805552993448, -2.5205208022285723, -2.4686951557403414, -2.471145341406473, -2.2502561925792053, -2.2450076210508114, -2.26584104119543, -1.7959365269259784, -1.7583178764777572, -1.401680202211778, -1.0932217733935958, -0.6746185187021694, -0.3332189898297277, 0.16831938559851922, 0.4268633876134383, 0.7249071992734001, 0.974839375311492, 1.4387471270283119, 1.7168614446983987, 1.7953092168167877, 2.0769328756290197, 2.164911721177961, 2.362302537302384, 2.469085993552327, 2.476104110155494, 2.5349374918458842, 2.3648245992389567, 2.3539253787533014, 2.2114755934539003, 2.071305434305451, 1.9241467807915311, 1.6123609955771356, 1.2364898251681178, 0.7738967226260333, 0.5043361464409901, 0.21390199384375133, -0.23691260589092877, -0.4359395701087667, -0.7447674423285231, -0.9804951656866318, -1.2139311189339086, -1.589479360439596, -1.9642059894776795, -2.103833113720422, -2.255762300312635, -2.392702970894453, -2.414364086849452, -2.4506438697737267, -2.450267994135193, -2.4095994106266665, -2.0166964322850824, -2.014761893474012, -1.7883752975786287, -1.7066488042998236, -1.401113268504211, -1.1990597075058769, -0.8433661151883921, -0.3499073332661059, -0.0735889169673139, 0.38234123549817345, 0.5936438259227477, 0.9968531248940424, 1.3794743111371688, 1.4510899640241393, 1.6697931487282165, 1.9738407308401318, 2.2701288071202392, 2.1415755052987544, 2.574099512599964, 2.336192921232271, 2.3739583187477558, 2.318323038255117, 2.4261430455784723, 2.1856795336598758, 1.9479223126809824, 1.7086487879011676, 1.4926086699378796, 1.354856090225778, 0.8120685735006609, 0.5733712896320234, 0.22619510994752684, -0.15740940482492646, -0.33358022226173967, -0.7033704366997751, -1.1004369762613577, -1.4223270848044927, -1.761838901577943, -1.8626699490258887, -2.059311217288769, -2.419146148831394, -2.419401113956483, -2.3765035514150306, -2.406153248355955, -2.6061753761137108, -2.412431504508921, -2.222666137692964, -2.128363481075424, -1.9822160982512242, -1.7865574815698089, -1.5656936416713163, -1.1177771438473334, -0.8471219047991179, -0.45027380909739684, -0.20293371215441974, 0.24675990671877931, 0.5920827584957468, 0.8938268083530817, 1.2562027915259857, 1.4773031485913075, 1.9832739274191402, 1.923381144266524, 2.1772365547851846, 2.2761258160115063, 2.610044984588517, 2.388816222823028, 2.4017456936708887, 2.4729724117496112, 2.313480830686517, 2.1079636599041076, 2.072846418345475, 1.8125631791808972, 1.5353299641376017, 1.1405238356428875, 0.8230942957508316, 0.6728550126013407, 0.44522510792427983, -0.08334439715062505, -0.4378830517480219, -0.7356616376634089, -1.0921939205797688, -1.4378246775160632, -1.6132066248028198, -1.865602592751801, -2.0350431440779664, -2.2049507647030926, -2.299469804119859, -2.554664860468313, -2.338462114200898, -2.5292856854690076, -2.475194026739629, -2.4980383069433296, -1.9414183748122533, -1.7093383551964922, -1.7542832795020193, -1.4198559610375248, -1.2513901445890254, -0.8634920580534476, -0.3551319696148868, -0.2753022403157646, 0.07285959754701105, 0.48748179826531157, 0.737760035835029, 1.2522547711394385, 1.5640839914109717, 1.8183964505394594, 1.9699348324859256, 2.197224462983046, 2.2701928347332414, 2.2413962043382347, 2.4000838341196604, 2.36284598714649, 2.4850908591872147, 2.3047350914790834, 2.2818397543231064, 2.206732233921318, 1.755784522779666, 1.605564969305676, 1.3107700211831133, 1.1043098221798064, 0.8178222870828875, 0.390237384359455, 0.028875062448268752, -0.4382904692941008, -0.5154880718003748, -0.8484457365890036, -1.1569363655629374, -1.6135502416286869, -1.8700012029346509, -1.9317431353162606, -2.193643310565959, -2.3459779360930546, -2.517387736859281, -2.433853958726255, -2.3770638632574017, -2.59978883937354, -2.1183648465887366, -2.1260430279234512, -2.100374153466452, -1.855581679751821, -1.5149070603074062, -1.2100560752454947, -0.9513949939334938, -0.5563266751073618, -0.19205221996292052, -0.03214532894102025, 0.4278608130456145, 0.8330128083740437, 1.0561996285700914, 1.3896478443400715, 1.6973253821463137, 1.8243020961674643, 2.235740353417956, 2.3350935307160867, 2.3504865900557097, 2.4185147055273593, 2.4147615142258014, 2.418874838170325, 2.3507923203747967, 2.145312046880748, 2.0824661067323706, 1.9394712003004206, 1.89949612918107, 1.2658328240861645, 1.19671784593616, 0.9356897865611439, 0.4972612365317433, 0.15772910289494965, -0.35814920233416137, -0.591609830097928, -0.9418358678929343, -1.1337540621740847, -1.581385675672031, -1.8166166866646711, -1.9260328289406845, -2.124483953024851, -2.21248047503369, -2.5395959251598375, -2.5087681703456224, -2.5721056098153006, -2.521511329896351, -2.37446882194189, -2.204624976666172, -2.0991732864771313, -1.830124197799656, -1.5427120387348787, -1.2736899506284207, -1.0612509811597939, -0.6472032069673352, -0.397031748885151, 0.03215447285033605, 0.5237429794984874, 0.8226012869605189, 0.9066196958758314, 1.2358436165029565, 1.7185785539163299, 1.9346079650066363, 2.0391757412073757, 2.3507565666972514, 2.3441720794788834, 2.38026450646967, 2.5556338550417506, 2.5005352946169555, 2.3711561786436657, 2.361538347856349, 2.293281818235775, 1.9060412953073609, 1.7032153919101667, 1.401073167549109, 1.0527734294139144, 0.7728368777909225, 0.5380298690772676, 0.05605215711169334, -0.03093099814573727, -0.5477396963284309, -0.9195064231118631, -1.0880901007753923, -1.5625685136693965, -1.594923180024134, -1.7615404621955855, -2.2026487696388823, -2.138509353349367, -2.419586438414308, -2.4303182684756104, -2.586592706947339, -2.3101938491045573, -2.3439354651794977, -2.151723406206483, -1.9490525227275697, -1.760054029981561, -1.746464780096796, -1.2395230446821364, -0.9368486204673331, -0.7677079793502416, -0.37328084072927775, 0.0736384647541343, 0.2924917830295522, 0.6172139310281501, 1.0588838645144212, 1.1445733814884584, 1.8344646523583341, 1.729597783484167, 2.1798967403771505, 2.3072604403497867, 2.2840078375819353, 2.3829952389961044, 2.3302928277113475, 2.488333685667638, 2.4495054024523673, 2.0417206197490767, 2.0942017471861076, 2.1659943306074245, 1.7465826984254167, 1.3001418559264544, 1.2241079301600974, 0.6833066092485084, 0.4779813096970604, 0.1553425625291227, -0.2697865702736789, -0.42014179401252716, -0.6950994227793696, -1.4094171790598506, -1.435831164528048, -1.6344823586142538, -1.984958163448389, -2.2086648032307195, -2.36609490219736, -2.4071285595467025, -2.4886069862173152, -2.624384640788099, -2.4555077232435347, -2.4504137621777193, -2.185212647210385, -2.021214819223675, -1.807583468124682, -1.486097262313801, -1.3697798168672535, -1.0426470602202609, -0.8830764061253699, -0.506136970343203, 0.11710777285846148, 0.3991969264093609, 0.4658502026721656, 0.9631671121235971, 1.3707400851887959, 1.6438565422787705, 1.8326737503222692, 2.076335585349165, 2.262629618089275, 2.4847209704887914, 2.4453609188722685, 2.5808912589804502, 2.410284224999149, 2.3883551778667758, 2.2288963007548954, 2.1197128968226875, 2.0302146509738646, 1.7147110438381807, 1.4864154275855557, 1.1642641880885527, 1.0048087327707085, 0.5680960773844402, 0.30435158828099, -0.0012860626324258662, -0.42343482097099017, -0.8384238081347696, -1.093764649125278, -1.3257685238266044, -1.7559914637574183, -2.1372995807881483, -2.1590553787982003, -2.2737455913010387, -2.511944313921429, -2.3585304446674473, -2.3753351756545142, -2.359008682026804, -2.3594523840762567, -2.1592509003746327, -2.0582472309136186, -2.02866384257572, -1.657704877571394, -1.203674001998644, -1.0914372219130524, -0.8904111740889374, -0.48617410819105655, -0.10165354922261677, 0.2721471916260739, 0.7721640202591773, 0.9194270608880545, 1.0565134428320393, 1.5099747063970839, 1.976891559498409, 2.117107334310558, 2.144088930614273, 2.171316028145873, 2.438773851547191, 2.544029349602131, 2.6903274607134122, 2.3395287897435533, 2.29462418687025, 2.1871569045835555, 2.024941694668224, 1.927168407505399, 1.5014522593378365, 1.0850254710140175, 1.1039479830942494, 0.8719860258131287, 0.2461546060934082, -0.06045834708559317, -0.6827219886626201, -0.8136233940156281, -0.985378188614228, -1.3959693229201173, -1.5797038276859792, -1.9545494159419834, -2.095415203566599 ]
The following time series has an anomaly. What is the most likely type of anomaly?
[ "Spike: the pattern of time series is distorted by random large spikes", "Flip: the pattern is flipped at certain point in time", "Speed up/down: the period of cyclic components is different from other parts of the time series" ]
Spike: the pattern of time series is distorted by random large spikes
multiple_choice
null
null
64
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Spike Anomaly", "Flip Anomaly", "Speed Up/Down Anomaly" ]
Anomaly is an observation that deviates from the general pattern in the time series. You should check if the time series has any sudden changes or unexpected patterns. If so, check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
402
[ 2.4719109836382875, -2.2636644787104627, -3.4384532704712463, -0.9400159750442226, -0.45184878937118733, 0.03631839630184812, -3.977985921431303, 6.531993406857431, 0.37344842169332404, 1.98898713899399, -0.5499973760043135, -10.177983067200497, -1.3555463681135618, -0.8673791824405264, -0.3792119967674909, 0.10895518890554434, -5.231184035845487, 1.0852895602516153, 1.5734567459246502, 2.264690342912459, -2.2592439468559364, -1.7710767611829008, -1.2829095755098654, -0.7947423898368301, 3.666141575596947, 0.18159198150924058, -6.593989473176236, -6.437427862007923, 1.6460935385283468, 5.562053640494534, -2.18660715425224, -1.6984399685792047, -5.5556673778070245, -5.260973507636277, -8.585456656797223, 0.2542287741129368, 0.7423959597859723, 4.178799369979563, 1.7187303311320432, 2.206897516805079, -2.1139703616485437, -1.6258031759755083, 3.9030583578533125, -0.6494688046294375, -6.941929191150797, 0.326865566716633, -1.420184825223204, -1.2835426563584857, 1.791367123735739, -0.41063101556768977, -4.183414047010543, -2.279251284519326, -2.6777032347761676, -5.645458468822958, 3.3488395883833686, 0.39950235932032974, 0.8876695449933647, 1.3758367306663997, 1.8640039163394357, 2.352171102012471, -1.9686967764411514, 2.569975440047944, -0.9923624050950804, -0.5041952194220449, -1.5818096195074205, 0.4721391519240255, 3.307668187091546, 1.448473523270097, -1.7368957728247714, 2.877157572944616, -1.8960599838374552, -1.4078927981644196, 2.898688372360321, -4.537542873572066, -3.5752596679950996, 0.5090231046677658, 1.0329431302007572, 1.5211103158737926, 2.0092775015468276, -1.2610322424887666, 3.3836605745747157, -1.3352560055607234, -0.847088819887688, -0.35892163421465273, 0.12924555145838296, 2.6151507654949495, 2.1422333681579397, 2.913430160244722, 2.081914294150524, 2.5700814798235596, 0.001067944339375071, 1.825481903869119, 1.3954754461831431, 3.4170071376912072, 0.20188234406207872, 7.305383094921218, 1.1782167154081495, 1.6663839010811854, 2.1545510867542204, 2.642718272427256, -4.656260581895985, -1.189982420353331, 1.1046092571349142, 1.5157235666755782, 0.27451913666577543, 0.7626863223388108, 4.782711188676169, 1.7390206936848813, 2.2271878793579174, 2.7153550650309524, -1.6055128134226697, -6.949041748807622, 5.828274562182883, 0.7816543112508622, 1.4985120251996231, -0.8982280991911609, 1.3234903006155425, 2.0187700787208276, 7.5213937191936155, -3.437793220582458, -0.774697061906242, -1.0447088351459382, -0.5565416494729029, -0.06837446379986734, 0.41979272187316785, 1.6622234495350152, -6.421049515739815, 1.8842942788922743, 0.2987814471162067, 2.8606286502383447, -1.4602392282152774, -0.9720720425422421, -0.4839048568692068, -8.785899919636906, 0.4924295144768641, 5.6453932990148905, -5.87779354097885, 1.95693107149597, -2.866683203973462, 2.1656085182304565, -1.387602435611581, -0.8994352499385456, -0.4112680642655103, 0.07689912140752508, 0.5650663070805604, -3.90045808506106, 1.0464874432721296, 2.029567864099666, 2.517735049772702, 10.176000823392892, -1.3149656430078849, -0.8267984573348494, -0.33863127166181417, -2.7403847692711363, 0.6377030996842565, 0.1350849923175621, 5.71924002635933, 2.102204656703363, 4.773624140291819, 3.0785390280494336, -0.0776322422905038, -1.7477708489563306, 2.790614912379276, 0.22217270661491728, 2.6967642362275273, 1.198507077960988, 1.6866742636340233, 2.174841449307059, 8.058286301993789, 5.273542402987706, -1.1696920578004923, -0.8964654406274197, -0.19335768645442164, -2.9763839980073565, 0.7829766848916491, -0.09407655623338007, 1.7593110562377199, 2.185764198632854, 2.735645427583791, 3.223812613256826, -1.0970552651967962, 3.691746088846856, -1.3166414931147754, 0.36744629182231003, 0.10827926700542845, -1.6283673948707047, 12.509673830804871, 0.17847884277984516, 2.808282220187486, 3.296449405860522, 0.5828096276342773, 1.5319880949472349, -0.1525039859993475, 0.44008308442600597, 0.9282502700990414, -0.32538190760287566, 12.278888529944942, 2.295129531936465, 5.14790324135774, 11.06388964138295, -0.9517816799894037, -0.46361449431636825, -1.138056874471456, 0.1406896387741295, 1.0008870627027378, 1.4890542483757732, 2.8211945807307646, 2.4653886197218444, 2.9535558053948794, 6.133785688223655, -3.0104010078322583, -2.312851844454726, 0.09718948396036353, -2.8635447164522825, 1.0735238553064343, 1.5616910409794693, 3.7483539806148083, 5.481173204009005, 0.5235022057708956, 8.217772304209063, -0.31184075684425877, -0.3183409091089757, 0.16982627656405969, 0.6579934622370951, 1.1461606479101305, 11.060532400461245, 2.122495019256201, 3.4941069912339837, -1.3565279675243538, 1.3009679822184803, 1.9382236318523614, 4.63182573915951, 0.24246306916775584, 0.7306302548407912, -2.811732765150717, 1.7069646261868618, 2.1951318118598975, 5.120401849015933, 3.1714661832059683, 4.573507850854673, 4.050971974515323, -0.6513228086921021, 0.3150998617714522, 0.8032670474444876, -6.760576675277183, 1.779601418790558, -4.477644265407191, 11.401398649379118, 2.78891733935382, 3.7322701614826994, -0.5885977169709222, -2.5742060011745886, 0.3877366543751486, 0.8759038400481838, 3.665482338263615, -3.562934692265724, 8.286792386205349, 6.184489695138513, 3.3167397684133606, 0.8437697430532913, 0.8825254070780062, -0.027793738694190884, -6.668065366415655, 0.7307653357538947, 0.7597923357500833, 6.513366061899105, -7.23740131478314, 2.9012093753440222, 3.389376561017057, 5.256263032687493, 1.173184007771291, -0.3302378167249342, 4.019693240189493, -4.359261485347665, 6.293567273949183, -1.060666788067826, -4.234216441831538, 1.7973733719013363, -5.5869304480889035, 0.2389174765084312, -0.3706873391598333, 0.11747984651320187, 0.6056470321862373, -4.918190364635272, 1.581981403532308, 2.0701485892053437, 6.216833224753774, 3.0464829605514137, 8.780091670508956, -0.7862177322291726, -0.2980505465561374, 5.799342488766257, 0.6782838247899332, 1.166451010462969, 0.2428265894616659, -0.2367486014298117, 2.6309525674820744, 0.1496332181058131, 3.6072869388281457, -0.7135809396254764, -1.0459957453506201, 2.1993422200289765, -1.7919374226148945, 1.2792186980287164, 2.3290728879735605, 4.169911400199451, 2.7035893600857714, 7.881591747820908, 3.679923731431842, -0.6409441470217803, -0.15277696134874463, 0.33539022432429055, -3.2296668880487927, 4.094306003283716, 2.9943884681207846, 2.288058967016432, 2.7762261526894676, 3.264393338362503, 3.7525605240355384, -4.52950236938286, -0.21354325439819682, 9.060703284189524, 0.8961942026010221, 2.712969332155713, -0.0663515801626855, 2.6522205978334172, 3.702146539890012, 3.337030130966199, 3.825197316639234, -0.49567056181438773, -4.713434365324061, 0.4806638095316833, 0.9688309952047185, 1.4569981808777537, 1.945165366550789, 1.343308148205937, 4.392544467628435, 3.409666923569895, 3.8978341092429307, -0.4230337692106916, 0.06513341646234405, 0.5533006021353792, 1.0414677878084146, 1.5296349734814498, 5.133800691789482, 5.250236097637939, 2.9941365305005565, 3.4823037161735915, 4.490907834816684, -4.793221026819475, -5.3819839906271145, -6.473346166962945, 1.114104580412111, 1.6022717660851467, -4.615758469659675, 2.5786061374312172, -2.518295691730404, 0.959345877519207, 4.776011819257245, -0.27776018400329905, 4.916647949901084, 0.698574187342772, -8.527058485722556, -1.2749217750421136, 2.1630757443618784, 7.514920038917403, 1.1775380972009963, 3.627577301380984, 4.11574448705402, -0.2051233913996029, 0.2830437942734325, 0.7712109799464679, 11.316637495622675, 1.7475453512925387, 2.235712536965574, 5.209317488263459, 3.212046908311645, 5.393619404266375, 4.188381279657715, -0.13248659879590674, 0.21018914502991348, -3.260687188594133, -2.4279709113754118, -2.430870730736494, 6.501650341645132, 2.7965165152423057, 3.2846837009153407, 5.486789216637158, 10.80218939815063, 3.2790811606620767, 0.42831737948082527, 0.9164845651538607, 0.8247504744349763, 1.8928189364999315, -1.8049677793503287, 5.249072491325949, 3.3573204935190373, 4.805522328901103, 5.026748421280189, 0.012786986411486456, 6.536360569356882, 0.6645751911188027, -1.0232422771854883, 1.9654557291036272, 4.492014555929099, 2.941790100449698, 3.429957286122734, 5.5764899945977815, 4.406291657468804, 0.08542377901518261, 2.731513698609776, -4.537263742896158, 6.514246353926266, 0.7384940278305541, 2.5262597073803597, 3.0144268930533946, 3.5025940787264305, 0.9638831381166031, 7.9466446204579295, -2.2625038831786237, 8.504927670996041, 1.1343949429649494, 1.6225621286379845, 2.1107293143110204, 12.198674854893483, 3.087063685657091, 5.839943180661539, 4.063398057003162, 4.551565242676197, 0.23069736422257492, 6.007820457302929, 8.218449302560085, 1.6951989212416814, 2.1833661069147166, 8.975057229575008, 3.1597004782607874, 5.005683741766723, 4.127034969862604, 4.624202035279893, 0.3033341568262711, -5.408907913871395, 1.2796685281723421, 1.7678357138453773, 7.024369231031658, 4.051462106443399, 0.9253611386255667, -3.2893985787152813, 4.208671642210554, 4.69683882788359, -2.6961137086526037, -1.6692204952663388, 1.3523053207760383, -1.4378081362540482, 2.328639692122109, 2.8168068777951443, 3.3049740634681797, 3.793141249141215, 4.2813084348142505, 4.769475620487286, 0.4486077420336638, -4.127675290559997, -3.9023821612208875, 4.914791453429239, 10.808356407652418, 2.8894436703988404, 3.377610856071876, 4.2822733613120825, 4.353945227417947, 0.5633316281039864, 0.52124453463736, -2.9422783533981467, 1.4975789059834306, 8.824700142397779, 1.1489348427684003, 8.637261332342266, 3.450247648675572, 1.6324720110819655, -1.650845131060927, 5.230020747504625, 3.963023519550335, 1.4067800536205504, 1.5702156985871267, -1.177307402735019, 3.5198009554544796, 0.756587704563104, 3.522884441279269, 4.0110516269523036, 7.014575417171909, 0.3635102771399099, 0.6665181198447523, -1.8871193429007072, 1.6428524911908235, 2.1310196768638585, 2.619186862536894, 3.1073540482099293, -3.319249370966037, 4.083688419555999, -0.3148675586990537, 8.672088369504987, 0.8741959353860946, 2.312706178360356, 1.7154892837945195, 0.5415320112410196, 4.6957107463388335, 3.179990840813626, 8.705396468599389, 6.611410648227356, 7.2341274854990685, 2.9424051413799717, -0.20901971844904566, 1.2999588907251804, 0.26345672632249006, -2.2006575694421997, 2.7644604477442862, 3.2526276334173216, 3.7407948190903575, 3.256558616910053, 5.570468637562402, 5.205296376109464, -0.41187144003225384, 1.3725956833288766, 4.148497008285998, -8.559598648773143, 3.1133253350044003, 3.325264426021018, 3.8134316116940536, 4.301598797367088, 4.789765983040124, -2.506635168064469, -1.8352828936293608, -11.029153596220137, 3.200024014969488, 3.6451314188068378, -0.5164347388515189, 5.730637312070293, -1.653017713415304, 4.374235589970786, 4.862402775643821, 5.350569961316856, 0.7590879312662395, -0.9165197059715529, 2.0060364542093043, 0.9081695317866996, -0.07009759665913906, 3.4705380112284105, 3.9587051969014464, 4.51462298845176, 1.787661884278707, -1.2033985943179335, 5.043128627009755, 3.7479532061087504, 11.963445726373239, -1.942057565585099, 2.1525114162378287, 3.5431748038321067, 4.031341989505142, 4.519509175178178, -0.05003019017345789, 5.903312939525595, -0.19262953038214103, 1.6631428537436619, 2.151310039416697, 2.6394772250897325, 3.127644410762768, 1.9246509610896645, 4.103978782108838, 4.592145967781874, 1.6405038017394542, 0.7594452750012874, -3.5837344996483935, -2.5577454649395017, 2.2239468320203932, -5.753769557892607, 12.099793015746416, -1.4643539025245018, 4.176615574712535, 9.710291939743216, 5.152949946058606, 0.8320820676049836, 1.320249253278019, -1.9699154383453168, 2.2965836246240894, 2.784750810297125, 4.167352281096326, 3.761085181643195, 4.249252367316231, 4.737419552989267, 5.225586738662301, 0.9047188602086798, 1.3928860458817152, 7.973268479148325, 2.369220417227786, 2.857387602900821, 6.79857621352801, 3.833721974246892, 5.049184657605201, 4.810056345592963, 5.2982235312659975, 0.9773556528123759, 1.465522838485411, 1.9536900241584465, 2.4418572098314817, 2.9300243955045175, 3.418191581177553, 3.9063587668505884, 4.394525952523624, 4.882693138196659, -0.3643915003475122, 3.9880451316024392, 1.5381596310891075, 0.07669745526563676, 0.6311876345034617, 3.0026611881082137, 0.4336266968660154, 0.6027946812203955, 4.46716274512732, 4.955329930800355, 11.106366351349987, -4.287277872466081, 1.610796423692804, 2.098963609365839, 2.587130795038875, 3.07529798071191, 8.852605276569905, 4.051632352057981, 4.539799537731016, 11.314754986662532, 5.516133909077087, 1.1952660306234648, 4.246442049949813, -1.5156707650920613, 4.211185866508325, 5.552832945052396, 3.6361019589886414, 4.124269144661676, -0.9214629183110983, 5.100603516007748, 5.588770701680783, 1.267902823227161, 1.7560700089001964, 2.244237194573232, 2.732404380246267, 3.220571565919302, 3.7087387515923376, -1.5929166692664598, 8.628302973094437, 6.486755210106805, 6.809817756877919, 1.3405396158308571, 1.8287068015038925, 7.55895600318721, 2.20019887181119, 7.131049305246112, 3.781375544196034, 4.26954272986907, 4.757709915542105, 5.2458771012151395, 5.864959734645118, 1.0055866910529119, 1.9013435941075887, 5.899500296697468, 5.373662016823375, 3.3658451511266954, 3.8540123367997303, 4.342179522472765, 4.830346708145801, 5.318513893818836, 5.806681079491872, 1.4858132010382494, 1.9739803867112848, 10.28544040873551, 2.950314758057356, 4.857924108500682, 3.926649129403427, 1.7267772302264763, 4.902983500749497, 5.391150686422533, 5.794564425936783, 5.136528621929718, -1.9558383372674801, 2.534784364988017, 3.022951550661052, 4.6369163447904365, -2.0494801918478274, 7.596416095407289, 11.22304211421438, 5.463787479026228, 1.1569218697337922, 1.6310867862456422, 2.1192539719186776, 2.607421157591713, -1.6825347577141159, 3.583755528937784, 4.071922714610819, 1.0306820715780103, 5.048257085956889, 8.08054954879005, 6.024591457302961, 1.7037235788493383, 8.48549036130444, 2.680057950195409, 3.1682251358684446, 3.65639232154148, 4.144559507214515, 5.414965309660038, 5.120893878560587, 15.172369494155681, 6.097228249906657, 2.3224911940400585, -0.7066603802335951, 10.791679904684889, 3.2408619284721407, 3.7290291141451757, 4.2171962998182115, 2.006909819406006, 8.768998822609841, 5.651280147912428, 6.169865042510353, 6.668556008586577, -0.46700080959364865, 2.8253315354028015, 3.313498721075837, -8.177297109315566, 7.749062559553572, 2.9130828277725564, 5.266167463767978, 2.112308818042321, 6.24250183511405, 1.9216339566604277, 2.409801142333463, 3.717917368671143, 5.877142166720104, 11.915404966725031, 4.362469885025604, 3.3406689674419097, 5.338804256371675, 10.782609590521549, 6.3151386277177455, 1.9942707492641234, 2.482437934937159, 2.9706051206101938, 4.964560317214638, -2.1463835441763113, 4.435106677629301, 2.6438160503665626, 5.411441048975371, -2.2890263254211423, 7.123290670153127, 6.528258350002556, 2.5550747275408554, 1.4502714640586258, 5.26665130271078, 4.019576284559961, 4.507743470232997, 0.19573989145249993, 5.261027759321836, 6.86060040275429, 4.825876666257795, -10.261468560583163, 2.627711520144551, 3.115878705817587, 3.604045891490623, 5.624494307792798, 4.580380262836693, 6.775881179433808, 3.0800480519617324, 7.571567482470327, 6.533049005528834, -2.0047643119106344, 2.7003483127482477, 4.721850440366848, 3.6766826840943185, 4.1648498697673535, 0.6673317621085566, 5.141184241113423, 5.62935142678646, 3.8453980213973162, 6.5451356903503894, 2.7238175830028735, -2.111895455690382, -4.352486256646775, 3.7493194766980147, 4.23748666237105, 4.725653848044086, 8.24750107991692, 6.119849097548136, 6.190155405063192, 6.678322590736227, 6.178053899421117, 2.84562189795564, -1.4620044167113688, 6.271057806417058, -1.4477565384647324, 4.798290640647782, 5.631947651001186, 7.277224630789106, 2.7712430033405306, 5.389336771524382, 0.5869359779890062, 0.5780841212782892, 3.406425876232372, 1.9528830661376018, 8.77732788293976, 4.870927433251477, 4.082657862153657, 6.505109487916555, 7.974404471529585, 6.823596175943619, 2.502728297489997, -0.5896121566917811, -1.9902368684025191, 3.967229854509104, 2.5188517637072083, 13.62475449575174, 13.075732117011142, 1.452462860950031, 6.408065782874281, 6.896232968547316, 2.5753650900936935, 3.3097708814067173, 3.5516994614397643, 4.0398666471128, 4.528033832785835, 7.618288141271087, 2.4420656608059037, 5.9925353898049405, 6.480702575477976, 3.650316787360781, 2.64800188269739, 3.1361690683704255, 3.624336254043461, 4.112503439716496, 4.600670625389531, 5.088837811062566, 5.577004996735601, 2.88701412896637, 6.553339368081672, 6.0387229882201, -1.4836585011774623, 3.2088058609741212, 8.181753495494062, 4.185140232320192, 10.328894895627215, 5.161474603666263, 5.649641789339298, 6.137808975012334, 8.191912322429449, 8.215295573166184, 7.924853339840624, 3.281442653577818, 7.075314999570986, 4.257777024923889, -0.5193876254359537, 5.2341113962699595, 5.722278581942994, 6.21044576761603, 6.698612953289065, 0.5302767431958375, 2.865912260508478, 5.4419845449196504, 3.842246631854549, 2.103042017131029, 4.81858100320062, 5.306748188873655, 4.933154990306943, 6.283082560219727, 6.771249745892762, 3.330037564074885, 3.765724298940739, 3.42671623878521, 3.914883424458246, 4.428146297275567, 4.891217795804316, 5.379384981477352, 5.867552167150387, 12.54197618793468, 1.7085703833211223, 2.5230186600428355, 3.011185845715871, 3.4993530313889067, 11.73111734240648, 4.475687402734978, 4.963854588408013, 8.028044413534447, 5.940188959754083, 7.742159334027432, 6.916523331100154, 2.595655452646532, 3.0838226383195675, -4.872810295788296, 3.345801929516755, 10.188782376020377, 5.036491381011709, -4.150072533629023, 6.012825752357779, 6.500992938030814, 9.346533679226251, 2.6682922452502287, 3.156459430923264, 3.644626616596299, 4.132793802269335, 4.62096098794237, 8.407062998179947, 5.597295359288441, -0.4726883391431995, 11.945805885756231, 7.0617969163075465, 2.7409290378539244, 3.22909622352696, 4.30267781541619, 4.205430594873031, 1.2813169861991378, 5.1817649662191005, 0.8267114086211089, 6.158099337565172, 6.646266523238208, 4.935229560596342, 6.171707844146518, 3.3017330161306564, 8.16306630554466, 4.278067387476727, 5.3097651398846075, 9.69726155968437, 5.742568944495833, 6.230736130168868, 6.718903315841904, 1.9720782892157942, 6.489236966835657, 3.374369808734352, 3.862536994407387, 0.17722014414035225, 5.487306275751923, -2.0362981228249852, 5.81520573709953, 6.3033729227725654, 6.7915401084456, 8.372136380185868, 2.9588394156650133, 2.6370504548861335, 3.935173787011084, 3.4651281278225827, 6.732755016444399, 3.5199591493118696, 5.887842529703225, 6.37600971537626, 6.864176901049296, 11.190460900616639, 0.7564299381232673, 6.367495072755801, 2.3386253001189674, 5.962334089662573, 4.984144950960851, 1.5390003804974426, 5.960479322306922, 6.448646507979957, 5.657240478957983, 7.424980879326028, 3.1041130008724056, 8.1276870315709, 4.080447372218476, 6.418489751050643, 5.056781743564547, 5.544948929237583, 6.033116114910618, 6.521283300583653, 4.205001423762253, 7.497617671929724, 1.159339440372806, 3.6649169791491376, 4.308841237584076, 6.142228154959455, 10.1545898371565, 5.617585721841278, 6.105752907514314, 6.593920093187349, 18.689494921054045, 7.57025446453342, 3.249386586079798, 10.103972637706505, 4.225720957425869, 8.539654332403394, 5.202055328771939, 5.690222514444976, 1.371129697127743, 6.666556885791046, 14.711131041609987, 7.642891257137117, 3.3220233786834945, -0.35977609440597735, 4.428624983823242, 3.678326752376731, 5.274692121375636, 7.5951186638451205, 6.2510264927217065, 6.7391936783947415, 9.866878191920671, 7.715528049740812, 3.8569740972551143, 3.8828273569602256, 4.370994542633262, 2.960586800677776, -4.18790352284698, 4.884479871199664, -2.607360280713668, 8.764153524218457, 1.9442018390164337, 3.9255599743291594, 3.4672969638908873, 3.9554641495639222, 4.443631335236958, 9.615644339231613, 2.9256246828774795, 5.908132892256064, 18.190861515849598, 8.514237467454087, 7.37263444927517, 4.495661097787124, 2.700619664655518, 4.028100942167619, 5.676611503186911, 5.00443531351369, -3.8459794476419242, 5.900618025888485, 11.116791459070065 ]
Two time series are given, one with an upward trend and the other with a downward trend. Do they exhibit similar patterns aside from the trend?
[ "No, they have different cyclic components", "Yes, they share a similar pattern" ]
No, they have different cyclic components
binary
[ -0.04317362082466228, 0.6678777371694795, 1.214971997067081, 1.7477348731386337, 2.1785548934573615, 2.2658366895700572, 2.480662796577842, 2.1323231765687933, 1.8603248965273238, 1.3733900176994673, 0.8408648186055866, 0.46041550122184005, -0.286745977653934, -0.8251024990761404, -1.4779359069726166, -2.1520253834809475, -2.1844966951385656, -2.345270654982322, -2.2133505959427473, -1.912157167015263, -1.2519215369691417, -0.9402108699018866, -0.4076925669916591, 0.4795715614833538, 1.1223155270049454, 1.5540652671830333, 2.0873775820382137, 2.3314967892571037, 2.4783068134419683, 2.425844787681332, 2.3381359704391556, 1.7577510808213046, 1.2164193045331517, 0.8508678054985196, 0.05003316788503584, -0.5567424542516194, -1.320674539802097, -1.4970005821283385, -2.1885932571446336, -2.16142614787778, -2.1416808652480115, -2.0265403150447057, -1.6763593419456784, -1.1463971291048825, -0.5682011016700153, 0.10370880368230778, 0.8163217329989193, 1.4031427856366352, 1.926816441815771, 2.1622133113216773, 2.422160659443172, 2.688629357340472, 2.410163345729026, 2.1327254567146654, 1.9078864827949742, 1.335079318882657, 0.7761529141316281, 0.05511076965437324, -0.58019635369693, -1.1606572032600715, -1.588589546054745, -1.8002148811083885, -2.194634491366576, -2.153412576126676, -1.6377176940969222, -1.285092164474437, -0.6123492971120498, -0.08808801305887726, 0.6674408726264202, 1.2161997506489632, 1.8840874330683766, 2.3022045052022495, 2.6335381316373905, 2.819885527118818, 2.8229190176264334, 2.5222054219148937, 2.1802699725074715, 1.7650626711220814, 1.2057040577009035, 0.3590620356147942, -0.1468433378348091, -0.7179799478721017, -1.295237141771853, -1.5577741807043544, -1.9805372259492362, -1.768529741396793, -1.5725455529931731, -1.461707338081609, -1.0133186531712748, -0.4988119463101835, 0.25785539570978405, 0.7974451289534735, 1.3220913712056563, 1.9895783985319595, 2.6135486051237082, 2.7495284607670567, 2.883763053657383, 2.72863679727936, 2.6740903423219313, 2.064095657708451, 1.5444558275352602, 1.0852321490983199, 0.0955387251480175, -0.4093073901003724, -0.7514388178173996, -1.3529349918073774, -1.730081887529387, -1.7933117180167057, -1.742583490339037, -1.4189582994071421, -1.1998394555626604, -0.7200460818089938, 0.10986356116214105, 0.7128748885001543, 1.277363702701234, 1.8891832685617558, 2.51477396306407, 2.699872675049965, 3.0104862610361605, 3.024206515734328, 2.676914209444694, 2.26002982945086, 1.9640861459953403, 1.429419420476688, 0.9100537397270316, 0.11798941457651431, -0.46419149435948254, -1.1203631129159666, -1.3587353398735935, -1.6660577771088971, -1.7879210754222994, -1.542916479382099, -1.3497585843043427, -0.8915384392354031, -0.27834694041840863, 0.5374059389245583, 1.090270572475563, 1.7818965184752655, 2.0343954176523544, 2.6431854680847287, 2.8099547149527218, 3.0303977521338683, 2.866548740224015, 2.6543792111424795, 2.528162453355716, 2.0175668259494595, 1.4952644351381132, 0.710792911211976, 0.15203980207741047, -0.4409629599358139, -1.1461268386166192, -1.3189628412552228, -1.5289457662444208, -1.506788643899057, -1.2129589762379622, -1.0091037752013572, -0.7084634186670592, -0.1687368690824566, 0.7170745728246674, 1.3131058638602857, 1.858975077182935, 2.435959477554751, 3.0134371865956298, 3.192701290065663, 3.229187892206946, 3.1241285400423324, 2.8401120200794985, 2.4734336909911225, 1.8133739980954984, 1.0325613323642822, 0.5767348911650493, -0.037252998903484213, -0.5854311716204339, -0.9651883563020776, -1.408827570302155, -1.3754095383219136, -1.2019059917921924, -1.1553849330555572, -0.6869640568935106, -0.1837317536795697, 0.33159981667966887, 1.2266816104908105, 1.7440457247359809, 2.2918620386728614, 2.8944404577328395, 3.2771014733052675, 3.2786627723181065, 3.305124273352986, 3.048807487900342, 2.725897740124752, 2.196572925582098, 1.6138122403328863, 1.0282254207521246, 0.456290653276498, -0.10749321773206642, -0.7829739499644719, -1.0282219836472972, -1.1014344616585399, -1.3164900487605664, -1.2016243297447828, -0.8450152054084181, -0.33818178941333066, 0.23755429161090935, 0.8846233817089112, 1.6290052135538962, 2.0981571212243573, 2.7498360252686793, 3.1247358794025515, 3.419421687256944, 3.47379344602811, 3.3856062900508843, 3.177096139698681, 2.545929447565898, 2.272187416856849, 1.4751021882582191, 0.8009315820039127, 0.13900068456336467, -0.23497171919519208, -0.7454114868991802, -0.983455962949582, -0.9174610482521947, -1.2720164313162523, -0.8674496977287545, -0.5232297380074558, 0.09773583460617272, 0.419398725076781, 1.024898645037294, 1.8325066999142312, 2.4574077947807234, 2.88412087891774, 3.2875891843952147, 3.5755010803713696, 3.6236447275126573, 3.38163939708888, 3.1020357136757535, 2.580943137446937, 2.127943538726682, 1.326715545550165, 0.7133573177604755, 0.2707988364853079, -0.49261530487660754, -0.7689167025822721, -0.9646431852079584, -0.9237512736008595, -1.0070935445959375, -0.8559720994930409, -0.2575388340425324, 0.32372716724051787, 0.9674597040623053, 1.5957903469495438, 2.136868494893239, 2.585912818931552, 3.0344940451613596, 3.43943111775202, 3.6676299546542834, 3.5729903893387074, 3.57634760291881, 3.1644154889486966, 2.4142754382780875, 1.8257879066155975, 1.2297389774098535, 0.4492818354743507, 0.1781684972831329, -0.42317022817324784, -0.8046467908277686, -0.9357757353287879, -0.8083624290486014, -0.8905958359387289, -0.43537091474458983, 0.1511071441265453, 0.6735108209781598, 1.247856587553584, 1.855539688486244, 2.5868364953847647, 3.2251765600703384, 3.5637894415323994, 3.846188591816744, 3.9754154693944357, 3.6042093441377143, 3.4238077343170925, 2.8858592937894736, 2.4023338911233942, 1.8656641927056854, 1.0594277719698117, 0.5243164097996782, -0.18551137492635744, -0.5519194599313797, -0.6487146350690443, -0.8160336833050275, -0.9303007962157464, -0.48545220722394383, -0.15985835323192243, 0.2707384336103708, 0.9594525055220011, 1.6525539784331034, 2.4487036035805914, 2.9503961442806728, 3.342578268104392, 3.592954768774753, 4.150623386170303, 3.868983981930532, 3.7708278596070874, 3.1869219907136546, 2.7549219063178074, 2.204570162972771, 1.633690125353516, 0.9202668313775648, 0.5377651833133709, 0.0038825462192785543, -0.4425561694653832, -0.7281321996852419, -0.7884744547403947, -0.4099778707816947, -0.3503985822838463, 0.1931016211177058, 0.6217711420220012, 1.4153194558213116, 2.230505358662474, 2.6487499210409995, 3.517697761773381, 3.844905085311903, 3.8767304157752944, 3.9347220835700125, 3.8958276595261054, 3.674920855953799, 3.1810321235144783, 2.948223089733381, 2.180609597832725, 1.50658693376062, 0.9101027443572328, 0.17076453129506633, -0.19999857603022086, -0.3972373808978807, -0.6889476977151975, -0.4912996674347894, -0.27618509277201353, 0.11412278239601135, 0.6057407853854389, 1.1795777025366478, 1.8284886260751838, 2.5353226643726545, 3.1864451934168843, 3.432759764034406, 4.05039249754414, 4.01343955763128, 4.2286130116186476, 4.048030881254603, 3.6960955497413015, 3.10560058576151, 2.609127691691561, 2.099001134623278, 1.365125515511798, 0.7186436052925641, 0.30300919782431857, -0.15963781068487132, -0.42919964498747776, -0.506825083661986, -0.4500123714819219, -0.12267276080307565, 0.35503134834406114, 1.0097487548767843, 1.6578223339144653, 2.1071771234177965, 2.8863883701146484, 3.4485696759867075, 3.7412119297709108, 4.136233253711058, 4.475099767816235, 4.215517266507816, 3.942510846521553, 3.571962810092644, 3.0781388853502256, 2.464070972406738, 1.9721321890095296, 1.0519235022632412, 0.6128612306390364, 0.3422627223308712, -0.1779990947629102, -0.19964544467169174, -0.44748303881794993, -0.30930675440308486, 0.3903792989782782, 0.7471388757306232, 1.396054299474296, 1.8757734676614854, 2.5889007658396026, 3.3361874373354787, 3.6070462567677013, 4.161978277220906, 4.495409124594564, 4.381309329971454, 4.404383519530982, 3.928164578941731, 3.6191991023216192, 2.9245609899208738, 2.1738514457576823, 1.8457858792715442, 1.1541294483809503, 0.6154094571626121, 0.1994807105481421, -0.07414199987260144, -0.2304108791326177, -0.18554632057798406, 0.02398570759596487, 0.727214659450328, 0.9655724734867113, 1.5652064783296327, 2.334223413077859, 2.9828833052347035, 3.641959844073641, 3.9394331402301077, 4.475071466796726, 4.439321671568816, 4.277380882875673, 4.459919237868981, 3.8912165045745177, 3.4629572844953604, 2.9516733906664907, 2.282571190693372, 1.422763214385205, 0.7597089059346148, 0.4593706693378869, 0.3387002782106189, -0.17595348945397338, -0.16749434755633733, 0.1922741171339385, 0.3736292722192803, 0.9812406810940795, 1.5372830298048643, 2.1296118237194754, 2.663704411480338, 3.2521403244799054, 3.8424257460646003, 4.170615666953341, 4.501558527779256, 4.542754326454308, 4.590985864859945, 4.33019403994008, 3.843682402859008, 3.373757963242401, 2.6572474677061746, 2.223362520082427, 1.4636255680193464, 0.8137623294641803, 0.3109084677889768, 0.19002518304604693, 0.07820623032604512, 0.09720358754710323, 0.3642623124465906, 0.6492979529887803, 1.2427622492545656, 1.783852023834095, 2.3359424496452315, 2.9707820419724076, 3.5719988009490593, 3.9748057664590446, 4.377230525294122, 4.743002919980182, 4.552440538771774, 4.49256372698556, 4.22117652255491, 3.8664167520651764, 3.4413997513556858, 2.5636647577751837, 1.8248494001831965, 1.285968870144543, 0.937551691322603, 0.5230667978486514, 0.3071092643633926, 0.24082955190742358, 0.12561727486124286, 0.3977379110626674, 0.8177759536781004, 1.4779701899109172, 2.132950408037639, 2.890517672809955, 3.4774668964164612, 3.936708701160944, 4.519519099215964, 4.70552822931992, 5.041484881988572, 4.8656182954782645, 4.66921148309836, 4.23372397982096, 3.615323725285534, 3.044450274236555, 2.491001085632647, 1.8203280441147343, 1.3080733522998904, 0.771352865078947, 0.444103990385326, 0.3304591677062902, 0.08084170451811368, 0.39618089099261494, 0.8635355680811293, 1.1965068898516713, 1.9063456778604453, 2.578849675015494, 3.055097410114654, 3.9550724256173653, 4.40948903969804, 4.766835609833461, 4.871267970486854, 5.154825877708133, 4.70442826606843, 4.5936089081281954, 4.0316818943346435, 3.7544786830375796, 2.8956386924304787, 2.3448141226146495, 1.6058593666948164, 1.0593427139046732, 0.8173812514782465, 0.47528532028998, 0.22301972186695074, 0.6068056648085801, 0.7937740123337474, 1.1640509794694045, 1.442768410751493, 2.4165578124791383, 2.9722516507883396, 3.670367099813702, 4.270658800849915, 4.449512963046869, 4.857247933604955, 5.385393397699635, 4.986003569078493, 5.006850631984988, 4.58222513463986, 4.034956746952668, 3.3627931897862506, 2.753936990643445, 2.17304648507387, 1.5109807443570111, 1.0907792773318084, 0.5949693761931003, 0.43393092198874694, 0.43416127047767483, 0.6636714036537545, 0.9963952169493427, 1.3728286936742005, 2.1405474587120397, 2.649446025153901, 3.3109537508650946, 4.084582841542576, 4.538819933152444, 4.905759075675041, 5.198988532840828, 5.07126690381936, 5.101093892671271, 4.725218541994279, 4.374117267938574, 4.0665581531386055, 3.2370881785393864, 2.869605801528635, 1.920603731806328, 1.5088760947146662, 1.0903503724684955, 0.7334520483532054, 0.5638487619352066, 0.5217159475143873, 1.0029817579631517, 1.4643658938449977, 1.6226023795441515, 2.311649444696684, 3.070129722779258, 3.559483712748959, 4.297663399213993, 4.767077510050857, 5.000730979278517, 5.236403252779054, 5.386811237425819, 5.289308004243213, 4.841622015226746, 4.524222287797365, 3.806362407239914, 3.1185782582242743, 2.50093231043472, 1.9926730892655042, 1.451677200684201, 1.0375188824077033, 0.8392339589477388, 0.7982658813136496, 0.7983612734653678, 1.0514270098096252, 1.6679871934284554, 2.0455288577779394, 2.885982721983523, 3.4563075699417714, 4.181303521268115, 4.519771514789634, 5.035914129949398, 5.311531275008427, 5.353592518918182, 5.410161919326218, 5.131020583321858, 4.730251508838996, 4.227936668944403, 3.7986748108315354, 3.101885016816804, 2.170643037054966, 1.940360433617475, 1.229955639243208, 1.0247123813702685, 0.8751949633079699, 1.1195086582521452, 1.0944133756848116, 1.3334014505112028, 1.9449029343375908, 2.681159193335483, 3.0984028997291273, 3.8905416824786934, 4.25813045494381, 4.910850755809182, 5.406742781555807, 5.577330262683588, 5.522073801906294, 5.470518194497843, 5.2434713896713765, 4.789075256019436, 4.18522876712512, 3.6351498042906885, 2.9074217029491414, 2.308707870901175, 1.647554053849342, 1.4308502623249915, 1.163914992585648, 0.9679622165975773, 1.12840586093181, 1.1584870447051383, 1.6253071814251507, 2.3332138517263665, 2.6317193538113846, 3.3158555038677306, 4.065375137114348, 4.8890316533146425, 5.17222870754186, 5.565973499344882, 5.630314832818039, 5.810085405576186, 5.503638568028313, 5.066757411903903, 4.717980342464284, 4.047227703527788, 3.320812851804293, 2.7741879145601906, 2.203176381066497, 1.7954032098311647, 1.4179143299590997, 1.0412022051531304, 1.0383536215308895, 1.317444099961125, 1.6219198251891989, 2.225106728055255, 2.6397767760058737, 3.248926574434695, 3.9850930523607797, 4.632361648997701, 5.174723907088738, 5.693813230528785, 5.948219762300239, 5.836568018498806, 5.960047575012643, 5.3066416508524465, 5.186952854436232, 4.5487512824633445, 3.8870197246254894, 3.2129084750066, 2.5452008882751005, 2.0310896519320463, 1.5225257405587698, 1.2582630880065968, 1.2253822895770006, 1.338456082288543, 1.4697638741755563, 1.9600534173476434, 2.2968195892541887, 3.1214157509894394, 3.7656071033334544, 4.370774561920112, 4.915853741226444, 5.169038488238366, 5.722085122533294, 5.955550527998364, 5.926018276917368, 5.686070112364675, 5.3514713344916895, 4.92190807064718, 4.318435179283449, 3.820141633162772, 3.2402458620859877, 2.36905971872037, 1.9553177279144378, 1.5915397110813825, 1.3807688911765394, 1.2425328826561772, 1.3249933781593448, 1.773216196173016, 2.1606279989144666, 2.8667755190657394, 3.4178711541193754, 4.033317667322656, 4.464112006046187, 5.130329344727726, 5.661699062276691, 5.964622655460144, 6.318022408485219, 6.028229744921028, 5.811891400854271, 5.377020928156643, 4.865536443105909, 4.159648491018491, 3.5659931425643667, 2.7667668249639634, 2.3249469700786536, 1.9081541266513564, 1.7820561800512489, 1.4634661091089387, 1.4826509934067678, 1.560785304037539, 1.9820780536459977, 2.57585669644521, 3.0257752475503685, 3.7536111699248305, 4.57453485564822, 5.010010920575529, 5.599445522510435, 5.785016415965772, 6.123517592542877, 6.122139557167002, 6.157187032555209, 5.835475734611075, 5.35494714176232, 4.776052838547343, 4.24607193998149, 3.2557099042290067, 3.0579506022772693, 2.266220624509968, 2.1931116408107254, 1.5852795633392194, 1.6135224378758015, 1.7707955925681642, 1.9033129035116843, 2.155107241085761, 2.8096174721614973, 3.483434449216246, 4.009091646665071, 4.733691780074735, 5.323763358211443, 5.751157020120113, 6.237598554208675, 6.343181670479879, 6.307136115416233, 6.134789811814935, 5.789635093371704, 5.196933474811697, 4.471886025961963, 3.8939243636953518, 3.2113581467000962, 2.6766211338068024, 2.1939088934654216, 1.9740243348049427, 1.7452939485128893, 1.7331159089840993, 1.4937272299413262, 2.1674391712886383, 2.5186595507326257, 3.3069700274604723, 3.9251538109323, 4.198484761183146, 5.216166943089282, 5.663413546937984, 6.288206310015655, 6.235184965159086, 6.523942280303851, 6.436658459509381, 5.920900495391418, 5.829947904738306, 4.925564277560237, 4.3871042152645305, 3.8784535693804756, 3.172448029426715, 2.6766286914615334, 2.171138702821393, 1.8005372976365945, 1.8886962008138823, 1.70342765382293, 2.1353805155338934, 2.5207288627124638, 2.9840972020863448, 3.4294315470358616, 4.197734549443668, 4.94393843144786, 5.674170441736765, 6.166887105369581, 6.480591955113229, 6.541519041570847, 6.629325515570853, 6.428415648851498, 6.02055659969913, 5.665464275767792, 4.946996694636643, 4.248362346668252, 3.6788773194014395, 3.0256687336904786, 2.47349834838032, 2.1277667350124747, 1.7677610497742358, 1.9247022352524845, 2.11477317684921, 2.3628445321424767, 2.873490576102675, 3.276501563429411, 3.833112640933034, 4.516095770524625, 5.254917352989656, 5.868730023234673, 6.273817325987931, 6.589089655370864, 6.695056511392106, 6.596118503814728, 6.2910564319344555, 5.8455573648803645, 5.324710153132318, 4.987914784442529, 4.317674600489654, 3.5597317423664965, 3.1394670493031183, 2.5182487920555174, 2.391473342568667, 2.097685487628184, 2.1244324072297123, 2.418146873895653, 2.694378978085203, 3.2110108002551927, 3.7658930808363866, 4.479610718210809, 5.0878873287364215, 5.733257825124609, 6.122571338563926, 6.365501450560799, 6.769406934326966, 6.724525749658279, 6.706999876701284, 6.300325488262368, 5.766704176283636, 5.234450335995139, 4.6645436268177685, 4.148640997248919, 3.505025076877361, 2.9058130600001633, 2.2805360079076413, 2.330783831959376, 2.223912329170721, 2.2397360220517206, 2.524036339736168, 3.00274489477917, 3.6762822299597744, 4.183244187109854, 4.6374094071013525, 5.50578993259972, 6.136109772255905, 6.463775931241044, 6.909928153445617, 6.872542439360132, 6.946558157790835, 6.795457757457707, 6.303269924932812, 5.624386705299633, 5.204211038553836, 4.437687409556374, 3.980967133218399, 3.3572064411537452, 2.9169747236324515, 2.3472708310196913, 2.217156293748223, 2.3354252700438183, 2.4410361129811147, 2.787526958600217, 3.387159032995844, 3.90528451329886, 4.470945769692083, 5.066647549800216, 5.733260950815711, 6.395652326048869, 6.851121285476758, 6.852185450287959, 6.963546446524949, 7.291614365998259, 6.789308828761386, 6.139565799503469, 5.8187732851843705, 4.953452187380694, 4.330131497763713, 3.6180711907666074, 3.304419617558622, 2.6101942490229284, 2.4854482817553913, 2.486562976663958, 2.4362939759118025, 2.686206238049217, 3.1547410243170413, 3.6363419305633164, 4.30913430379827, 4.931087533974512, 5.502845747560165, 6.110167895699483, 6.608042691573121, 6.8952076596430825, 7.0909872042525866, 7.328644274784264, 6.806453679782467, 6.591429272619244, 5.976044544961181, 5.690046075968835, 4.872639153360303, 4.310494526164667, 3.6098783937124717, 3.1945517916443653, 2.8387556757541503, 2.516655958840094, 2.61770117725235, 2.4186547975323256, 2.952873078790551, 3.3395976785354313, 3.8577191204372756, 4.58894425176113, 5.322276654507414, 5.839277307824996, 6.646940418608, 6.8680700459859025, 6.977883154635451, 7.325489287043094, 7.208798066891358, 6.903746366123956, 6.543547049534137, 5.892319475718397, 5.504195374113424, 4.888608902653416, 4.1632932401446325, 3.5448168549606214, 3.046553408937049, 2.731059805050278, 2.4936313417324656, 2.728554868155669, 2.8464076493157053, 3.1509597736161603, 3.6888868049157924, 4.37435094985359, 4.934139074095051, 5.698796111882199, 6.245904922042365, 6.802084021871381, 7.133377987318309, 7.459799012216991, 7.420691869354347, 7.112139801401182, 7.065730525665552, 6.457939743625111, 5.745385548273504, 5.5034469456409845, 4.612476672644131, 4.087339565467155, 3.363029361224065, 3.0649537196694, 2.9116295623497184, 2.8388844628962526, 2.953629420235421, 3.0428811831395604, 3.5817729651402335, 3.965695064026008, 4.583863690433321, 5.364632391692142, 5.971967506766233, 6.580208427725796, 7.023425274845718, 7.306231089204043, 7.535056011705935, 7.567313661610672, 7.329733539066869, 6.941929698984332, 6.225798263705537, 5.770971569579276, 5.066323246898814, 4.614076806358638, 3.876952440338685, 3.6508275428664776, 3.0873446410151857, 2.951275933858074, 2.7999609149272042, 3.113985397588593, 3.302965949103558, 3.940055987770734, 4.460834018017661, 4.844129819239727, 5.741585358067105, 6.3890823384422815, 6.852660127318074, 7.362104104024647, 7.490154207917342, 7.743953901505226, 7.564808267404718, 7.285365526707931, 6.729890738256982, 6.366965382085604, 5.676396092688831, 5.11049527914614, 4.299328956147976, 3.771830174384691, 3.422245669030502, 3.076639554039579, 2.932016247891112, 2.8700298257171206, 3.338313532792334, 3.6549057745261258, 4.181031678578453, 4.72737326393577, 5.549360348699362, 6.102674201515598, 6.868491625288368, 7.201106636797998, 7.6139590322452975, 7.816926021895458, 7.62355322750331 ]
[ 0.05818999784508836, 2.344819409487748, 2.498347214974895, 2.42915658769132, 2.4485290522351972, 2.409446431351425, 2.4442268015421273, 2.4645505485956023, 2.2506390732195767, 2.541833660406548, 2.4273684168828606, 2.355506658351589, 2.4263850827577365, 2.412862132315034, 2.5806284996246607, 2.420439234177487, 2.34948908795421, 2.3419594067684093, 2.2877042577226034, 2.4256959832703715, 2.498342681987688, 2.4155926389139286, 2.3393181810711505, 2.323157826935237, -2.583913382642303, -2.6366063979586207, -2.6916197507654687, -2.8003958090595997, -2.6940135916948287, -2.67987908575506, -2.839231249024295, -2.9928605143118796, -2.804008210511695, -2.769195806952917, -2.6461578450288408, -2.8106930659801206, -2.6652646513991343, -2.8201738238933474, -2.9761040142520985, -2.959253792745652, -2.7635646967257843, -2.780396535926127, -2.809189929008483, -2.8639692613494647, -2.862222506806093, -2.6631154999297535, -2.859889819931062, -2.9533630058640794, 2.250161752191844, 2.1775988853038997, 2.1743500620168983, 2.153690692199445, 2.1742416302013696, 1.9562875342997048, 1.9842443600123227, 1.9600424945351265, 1.9150060624842413, 2.0667743954790296, 1.8587240570131238, 1.969992900714084, 2.0015299317099506, 1.9832301019642031, 1.9187261623924767, 2.0690450003057586, 2.159170041098719, 1.9200398901258398, 1.8692518739141486, 1.9334249637716143, 2.16293361133372, 2.027720927724571, 1.9696684833385631, -3.0410648484095595, -2.947351239557727, -3.1022792640497476, -3.065924899786004, -2.9998418434165632, -3.000018020951743, -3.0010210055870683, -3.0437044077855147, -3.1516906014166834, -3.1605112694489335, -3.2483216591403123, -3.159470103821117, -3.033058076982783, -3.0149712471579058, -3.1728824358675713, -3.260608395021019, -3.216331005332915, -3.268710125818732, -3.3136638924804087, -3.3640489683343624, -3.269486011895198, -3.351155658592398, -3.343367861226728, -3.2144239227029976, 1.7574055733609701, 1.898912640841226, 1.8909520914248164, 1.8256476195551188, 1.8274152556047867, 1.728219947052736, 1.7765298678690336, 1.7369082916009295, 1.7650617947973273, 1.6216825413850442, 1.7038126744206064, 1.746649144394755, 1.5797351525007217, 1.6871360443218653, 1.8060319730081997, 1.7203873823414506, 1.6246804122657275, 1.7228986445880763, 1.6937480336732587, 1.606228319026831, 1.4489131760074958, 1.643988335048075, 1.6258073266813848, -3.427332295843059, -3.615988020700018, -3.3472679427798058, -3.514363016390389, -3.3887575798716307, -3.350698119028947, -3.500160188331855, -3.5124047375581395, -3.3401950181514373, -3.7535738346931766, -3.552528005843558, -3.6613120632379346, -3.6923610364634825, -3.399532689939974, -3.388455833610615, -3.590865259476984, -3.4525238725108958, -3.6209655386639965, -3.635295701083999, -3.4815320793225233, -3.6307991987028996, -3.5296086422836437, -3.692545130985773, -3.6237383030908257, 1.3946601920249706, 1.2698657408994953, 1.3985709808504951, 1.454828285513252, 1.4325899956183987, 1.3343756848716608, 1.312266258679914, 1.3392210103248716, 1.2724979158136807, 1.390918784461691, 1.4026323505879967, 1.396183779055444, 1.5482072587534415, 1.4478663882813605, 1.2586423301024143, 1.2735523716217205, 1.2650266639646495, 1.2425568362036958, 1.3055498797846032, 1.2478772287576785, 1.4032881730936904, 1.32605436738398, 1.1820262338048664, -3.808443714022029, -3.7692129161932284, -3.7985907055720287, -3.657069232914996, -3.8171437754228603, -3.697064517743457, -3.708637744543718, -3.6520129862896957, -3.8151234501717814, -3.9752685098850526, -3.744803940232802, -3.842903711772502, -3.8228110171033167, -3.7930782539513723, -3.9056927765079004, -3.788246563524651, -3.9029752622909064, -4.034401688573028, -3.821477792181468, -3.894766438398166, -3.895708851393283, -4.032089987303436, -4.030604583585698, -3.9282936593771747, 1.1608047275617959, 0.9075472759418128, 0.906425549504592, 1.1063086433847962, 1.075239880366154, 0.8473688540012055, 1.103582075974513, 0.790022448372083, 0.8949521916415835, 1.0361309836577024, 0.9840151068554521, 1.027982931010963, 0.9746076605459149, 0.9498466363317924, 0.9514093574981861, 0.9839361299906019, 0.9202316028457784, 1.0328208491314357, 0.9433161745868351, 0.8474560534873553, 0.8142437784785519, 0.8594778984906505, 0.923778204008345, -3.992119272062153, -4.235042212230444, -4.062901566043543, -4.169233870277935, -4.1197141075337615, -4.303872474998139, -4.186136720581142, -4.444500778556289, -4.195509979885753, -4.01374492789593, -4.248436275979461, -4.182238309246662, -4.153718356884273, -4.267439618319475, -4.436867470602488, -4.302544602235592, -4.396915062347788, -4.390265140943287, -4.188644850480192, -4.346426652509994, -4.282218326341139, -4.355335199372634, -4.363008123015551, -4.303626879809811, 0.6847015204065896, 0.6537075747011841, 0.6191931945946791, 0.7096264516059579, 0.6443016173040952, 0.619957455858879, 0.4746083116921864, 0.49371124401505406, 0.46331440553085657, 0.5566328461773953, 0.40108950347002126, 0.5503077571469377, 0.560857062242762, 0.5010022015319481, 0.5671826793867005, 0.7009994536833869, 0.5269209888771448, 0.6708872379642625, 0.5948335401308668, 0.4734146966232117, 0.5898313072491608, 0.619584672877859, 0.6648490133822611, -4.549977560695831, -4.37323706520762, -4.461820682513994, -4.414178332250125, -4.503470116582826, -4.406482794259318, -4.62584491517395, -4.4555440789929985, -4.777383061788309, -4.467369022271142, -4.580930645333271, -4.588083677759672, -4.497556785341747, -4.405538407576772, -4.813506066581455, -4.651205032581734, -4.446773395144191, -4.635094526313078, -4.692737656634721, -4.673204605500849, -4.562344143399643, -4.461108418807347, -4.613271962153773, -4.677004196224125, 0.32954259546930087, 0.16721680101645903, 0.4546325609442583, 0.2742541197091563, 0.23624915671802613, 0.1927236855553056, 0.40910469341630473, 0.356158360362897, 0.13486269732660175, 0.23320339750197006, 0.27341487536272036, 0.4284634493361362, 0.22925971908335624, 0.04567956444021423, 0.11142533238364735, 0.18877964996634158, 0.29360915366334717, 0.26877822176124677, 0.2541902104575474, 0.17677099106526512, 0.21238936129985128, 0.19954846010586946, 0.03949620776639806, -4.855225264162101, -4.919892761317701, -4.831221885993414, -4.829005381470534, -4.878679729893336, -4.965367658033082, -4.909544230412663, -4.884943383336191, -4.964898806244828, -4.753296720805105, -5.011066134604485, -5.100411001229796, -5.016749440465595, -5.0494858501042845, -5.035298514184035, -5.108118972663204, -5.010167216866443, -4.852573515732432, -4.89674245313777, -5.063685600016844, -5.0294722723890715, -4.952287172316098, -5.094539482827959, -5.058919782190605, -0.14860967232653793, -0.07034921859463984, 0.00447228591930237, -0.17836054846882757, 0.1142921809093598, -0.07895490087305451, -0.25707624990493566, -0.00807159856757704, -0.16957239468781088, -0.20720719401506194, -0.11870619680545545, -0.28578701007172347, -0.16193456953860688, -0.023946135005747382, -0.15686372830425702, -0.35626508869312845, -0.2073210698527713, -0.18215952221461285, -0.30462584213830757, -0.30411396868693646, -0.2788540333370337, -0.1457680991081471, -0.3648310238779521, -5.100845050384089, -5.069034056901961, -5.157448586994342, -5.218445086194098, -5.291971566873247, -5.4100611794579, -5.291970491601192, -5.136713494161257, -5.319394711114975, -5.12443708960859, -5.259326775614649, -5.268991644557451, -5.230736265924755, -5.363486613414583, -5.373464665604167, -5.364171386770663, -5.356926703091537, -5.362697519472074, -5.248533521708758, -5.3651706496099765, -5.388703179718414, -5.37997620701896, -5.656971097465602, -5.454757614447512, -0.4422819711268943, -0.3606704536776761, -0.39415037784573903, -0.3701992558026028, -0.3572054036456947, -0.37296183986276316, -0.46487905498233284, -0.432956546514904, -0.40250416059945626, -0.31347345152553086, -0.5489348048482819, -0.6817084531478179, -0.41614504753597087, -0.6393593310848984, -0.4843474023906884, -0.45094853423298087, -0.49678228071062275, -0.7299652516197248, -0.5049169110095675, -0.5358424492694913, -0.5183375500572877, -0.8124889320609638, -0.5150029008051739, -5.60112826973134, -5.277585498775988, -5.656253377575218, -5.489365867716046, -5.5367813531790615, -5.59563989546894, -5.516245763412422, -5.763757558878469, -5.774402354856445, -5.3912784552987825, -5.618902552693344, -5.809974549523215, -5.645842805221399, -5.712915784660253, -5.7221114400901865, -5.714003546997314, -5.707340213426823, -5.885346870539859, -5.791904822500754, -5.735680440809597, -5.611955782171706, -5.850371150017012, -5.915070143247886, -5.811962202455247, -0.7954911087875958, -0.8643944353171165, -0.8219647813926839, -0.6447784010695774, -0.6243692193758994, -0.8072548987497371, -0.8312384770692129, -0.7173887723030823, -0.8293379203981918, -0.6474483058233582, -0.7942881636283999, -0.9102749836421559, -0.7512790164558667, -0.8319502015150793, -0.7793089865809162, -0.7695817619393854, -0.9875161281621034, -0.8544996898570136, -0.8185226038891436, -0.7657258749317453, -0.756573704905104, -0.8830882862670367, -0.894381062994301, -5.993068311240588, -5.960830997147876, -5.932191585186358, -5.895559259419621, -5.934616916037954, -5.936989522144783, -6.048303426213119, -6.108891989280934, -5.9340768492007125, -5.965138963698312, -6.023780944618626, -6.079096657882091, -6.055066667265975, -6.011357558654329, -6.023473009373274, -6.087298409183384, -6.200424391943028, -6.000046800742141, -6.102479372135189, -5.982188538314005, -6.202198133585344, -6.227417277305819, -5.993969812274291, -6.269896584722036, -1.2463975253424884, -1.2521222661266995, -1.2800205693901252, -1.0405824333840863, -1.2556831685150196, -1.262813856693046, -1.178315433125688, -1.1747171343606702, -1.0744806739449977, -1.2181799198454748, -1.243128221529813, -1.2959882608323516, -1.4013632926997672, -1.186566309819505, -1.2115110696654412, -1.3926725980617405, -1.2933610732088554, -1.44530951350403, -1.362350076712565, -1.3434538062556882, -1.2210424296947577, -1.1436287321825334, -1.3261884002105682, -1.3309232948980039, -6.266731648996298, -6.277599959661315, -6.543113391735744, -6.302018079452853, -6.3426448257487715, -6.364041888878546, -6.3587227342837425, -6.404907129015612, -6.512689488938492, -6.307701359358674, -6.17023158281057, -6.550538555397407, -6.598489046299825, -6.422730008573369, -6.438474570957543, -6.361030573017629, -6.436585314187845, -6.422173458099959, -6.333130385631349, -6.371726606867263, -6.392107676772094, -6.528143866221223, -6.382316044602035, -1.4329328517958657, -1.5078053332270978, -1.5819738959939582, -1.4459066031963244, -1.4929939855381293, -1.3915447555008966, -1.4316916346357211, -1.4544582967347157, -1.5903636109831072, -1.5685325896581517, -1.6817395766298429, -1.6106075849971413, -1.3700104079165891, -1.431012735779444, -1.7553560010461373, -1.7562156565582727, -1.6735515277357265, -1.7570069925025005, -1.6984024492598262, -1.5387812718388683, -1.521697759487931, -1.6983917815150735, -1.7416427718230307, -1.6954090841335658, -6.55085492784575, -6.47694725397121, -6.680499576446019, -6.429365956192769, -6.66811841450768, -6.916388476829125, -6.541913055391337, -6.703523570069404, -6.597393474580942, -6.819506835246361, -6.666294229713127, -6.7749399644517, -6.848402093883991, -6.876225683992759, -6.9393058587737455, -6.89034004910749, -6.780203150687068, -6.744383087021357, -6.885402527614778, -6.9518158300318635, -6.627747889345667, -6.880936020739923, -6.67660384785011, -1.902810581314296, -1.9018956563117113, -1.7980654279253192, -1.9044717931260084, -1.7291171756700299, -1.8107803822289117, -2.0414261744238047, -1.9453907882343717, -1.9712179451435414, -1.8576303812225075, -1.8547524282456618, -2.102842535659553, -1.8192826915775429, -2.0362626118881955, -1.8229678799010378, -1.9060265086987345, -1.9154643867715972, -2.0777276182475948, -1.7491851310781157, -2.12597799268904, -2.027989258500433, -2.0191802357454995, -2.171487397971291, -1.9146057643475096, -6.904957294338409, -7.013908662846326, -7.099003467179419, -6.9502866522186455, -7.072607253565594, -7.129260539135344, -7.211039506939451, -7.280123680068038, -7.204986571062078, -6.929829344744685, -7.209899617302108, -6.976720446990139, -7.2708974433368585, -7.103564652213945, -7.161447057431253, -7.172843832890453, -7.243101420848955, -7.173075130881009, -7.056039490237897, -7.1027595288801555, -7.107008377813482, -7.1717724549104425, -7.111884273604674, -2.150290613807228, -2.237829084098964, -2.095725159482081, -2.165563304412764, -2.285208066301966, -2.259683492716747, -2.4575263358553454, -2.3911207394468885, -2.3655166379392014, -2.210570199124495, -2.4827799047474692, -2.3026366565996863, -2.414811914279973, -2.550007664944399, -2.360154046052124, -2.3574670842464567, -2.3677751231762816, -2.269806788768988, -2.3517722305212296, -2.403820329717439, -2.3614632812942826, -2.36289514066665, -2.4590037704181444, -2.4115265434845363, -7.290429387595081, -7.30369040631646, -7.384679240785324, -7.442090603912209, -7.404832691684876, -7.306822595776403, -7.323920306281204, -7.411941759615761, -7.414213204075667, -7.551246773216081, -7.561763051922372, -7.420629222854916, -7.389565327756201, -7.464626419355848, -7.628554610647779, -7.216226603575348, -7.632676899530568, -7.548579422697185, -7.727982660641685, -7.571708769310969, -7.421756171088269, -7.664196099710345, -7.480484732942885, -2.5783570472961768, -2.7147273816708752, -2.595582293599823, -2.7444019528068244, -2.7136527011361022, -2.7400126105008322, -2.5662717312088654, -2.480226176208477, -2.750096381633596, -2.573358900123069, -2.6705088097940575, -2.604913180931929, -2.7395299274368363, -2.5893681842457696, -2.733659998415892, -2.7129347346297576, -2.6238193211213887, -2.6665480091355405, -2.7098715212232847, -2.782779026759073, -2.5638810555638196, -2.5603871146248975, -2.496445293723984, -2.6085159538236886, -7.786779710321003, -7.787889256152884, -7.706601165457118, -7.840847716038077, -7.892649560643345, -7.724554531979726, -7.735410816046039, -7.681851734689425, -8.005844028002578, -7.841049852092666, -8.001654290599337, -7.921879302476931, -7.737328101034909, -7.826866576653982, -7.866902217536605, -7.9532495909140675, -7.814787663873671, -7.9553561915648325, -7.7649390032225405, -7.944504081204128, -7.865596625302441, -7.835868579645169, -8.184830883073865, -3.050726567549023, -2.894409613819401, -2.949781405604967, -2.9078082279744284, -2.7796113170933845, -3.0365169495070132, -3.0205788273561316, -3.1234986436100853, -2.9626395270818113, -3.0943245444166383, -3.1113801804273273, -2.9074415489407666, -2.910779455373883, -2.919252112351999, -3.1792144230192148, -2.861254017642117, -3.027222037800701, -3.1574954514943205, -3.0939759015207775, -3.260518522053916, -3.0229693468275087, -3.0722147248916842, -3.0965424866912286, -2.994722103456973, -7.950693119358973, -8.080760269078533, -7.959417715908538, -8.12421014330888, -8.194250428947703, -8.047732928477517, -8.212043850115355, -8.255924681134006, -8.108127011699127, -8.199417796058647, -8.285535686088258, -8.19005443342966, -8.272859941125878, -8.30147354927632, -8.183540136272088, -8.233502682096534, -8.253400856494512, -8.246497420900624, -8.274321098163739, -8.338385366381194, -8.383905756322138, -8.071182183973633, -8.152604273626281, -3.397111550178437, -3.4201053762635505, -3.3030034426207404, -3.252662537133313, -3.335116633966929, -3.518201241037282, -3.287092812947738, -3.4255469022702925, -3.4557667687941347, -3.324059932695357, -3.2336764322242666, -3.4232820777674267, -3.4296341791545286, -3.351554414967709, -3.4472019396770848, -3.4762918690274263, -3.327172911955828, -3.312759346692494, -3.4926202641383646, -3.4758440592843853, -3.3917970433925873, -3.5288107686555947, -3.59659882724003, -3.4271173354116082, -8.426550958849768, -8.623837485096654, -8.559545762869936, -8.399005376945198, -8.610850971837165, -8.526283820796584, -8.241062282739192, -8.60712378512148, -8.420807868250757, -8.490884689064659, -8.384329066013427, -8.598317614492752, -8.529398277160329, -8.600354816002747, -8.631767976330936, -8.573765875745694, -8.587296655514754, -8.553206294027792, -8.764323437275953, -8.58718111977055, -8.645165019190355, -8.615931570421361, -8.570020345683767, -3.727003978441697, -3.6178260509052724, -3.5851706329510113, -3.645412963282061, -3.8304377615095704, -3.8820251977979976, -3.5787396632891513, -3.667969114965774, -3.811473064892494, -3.780321402399193, -3.7498204804698054, -3.5924900802637354, -3.675888100352615, -3.7630506010871616, -3.698029793488983, -3.570191830092346, -3.8827456081856675, -3.646394199096644, -3.93620592008421, -3.812358496912209, -3.8808815076078456, -3.7419072126475545, -3.6653584698491213, -3.7397545091797983, -9.023064864706853, -8.752229669155545, -8.801306805953343, -8.802447512448206, -9.02180324815048, -8.882991655546407, -8.964255298905583, -8.775680693192305, -9.02283833688285, -8.9568155564657, -9.065086177048714, -8.778266651560273, -9.048244656536788, -9.131727360748547, -8.838813366826113, -8.889980795293225, -9.03649027719792, -9.034510969666847, -8.870295174747001, -9.216160834974113, -9.118812891076864, -8.954437064674313, -9.067115162337478, -3.968686600703791, -3.901845858230799, -3.9250118248837147, -3.981219206629965, -4.121821970955499, -3.9269064100092534, -4.1305427481443395, -4.029084367102686, -3.9728959981375724, -4.009165706426615, -4.159647163698767, -4.170671367905722, -4.057551279364328, -4.235354952798369, -4.221676942264906, -4.139504006091551, -4.163352469329485, -4.210138739979757, -4.47791510629761, -4.1744402374000344, -4.030851425440126, -4.1582510396645604, -4.0932252042810795, -4.263563964081363, -9.218391241697955, -9.349356997984499, -8.986777811341707, -9.328279500191693, -9.056589011966528, -9.04082598422536, -9.278490064337833, -9.239588751059472, -9.23038621808059, -9.132894313515335, -9.278643645308215, -9.179499414554098, -9.42374556378661, -9.295521857841477, -9.483047046142607, -9.370018509291981, -9.367002218687903, -9.412059424919896, -9.322561009939133, -9.263381435727693, -9.371298789435581, -9.42827255761993, -9.32382754340283, -4.472294263019855, -4.317878317555445, -4.332952923806263, -4.274809850604262, -4.568611013807317, -4.4293841558178695, -4.5331898354319025, -4.726220614766606, -4.468635089872184, -4.287032512178969, -4.34030450464817, -4.469536433394454, -4.444944908091802, -4.414104856509381, -4.529543605533304, -4.542747681714919, -4.443970538620375, -4.301055370444654, -4.479035901172645, -4.481384454397753, -4.635653661765962, -4.57911493365605, -4.6144193168877345, -4.545943180471396, -9.501040548906504, -9.545859506893313, -9.587496344501327, -9.682233051537562, -9.725311143989916, -9.431865958532342, -9.609409059090192, -9.643890120772, -9.61082371289032, -9.707781107532508, -9.573214497154844, -9.846390260484785, -9.79811831473259, -9.697525458982744, -9.618390696823123, -9.65844503329281, -9.510681710083546, -9.601162927762152, -9.571992622510868, -9.75878200384819, -9.722649729177506, -9.768061822152465, -9.766956617446121, -9.715658637184173, -4.827556956370412, -4.678052882644465, -4.77166664089007, -4.841601419079177, -4.837494130664668, -4.802392038543656, -4.74270254222915, -4.791532349061794, -4.743132372928773, -4.780526398563779, -4.735129077649274, -4.72986747002444, -4.958477179222727, -4.957451233856685, -4.74500695546144, -4.8405151307398855, -4.642576559465268, -4.890755162577538, -4.7967293482916675, -4.899815446929863, -4.873886198985732, -5.001549465435035, -4.955545358779075, -9.883627472459857, -9.948571631664485, -9.9260401276753, -9.840945701731618, -9.938250943168596, -10.050757751246694, -10.057651288988197, -9.888649473638171, -10.047144685412631, -9.966462501208715, -10.08018578677703, -10.011455358017356, -10.040609187812827, -9.955216772624881, -9.972073091316995, -10.131755305158602, -9.97728905937022, -9.959780965842736, -9.95323714476938, -10.027195056599222, -9.985730299138726, -10.03518411164993, -10.05725894985816, -10.322799740251723, -5.173618618962666, -5.1824827761450365, -5.206351894702801, -5.238706519724456, -5.124445644527527, -5.197592075820917, -5.1052668366732386, -5.260774637392563, -5.2072356566691145, -5.141117465095664, -5.143555382954941, -5.2822664799252586, -5.388253787624613, -5.312636357239063, -5.040675107402962, -5.313242276820293, -5.233841298075778, -5.13017726173722, -5.215226058693409, -5.0913950580891205, -5.2891602422624455, -5.1733935779486995, -5.445623613346802, -10.38315779102192, -10.3007352715165, -10.03088188678371, -10.3635286408513, -10.1213189572951, -10.238324176553514, -10.332668818961546, -10.338349164497668, -10.164068032506336, -10.450042348467507, -10.262131624415328, -10.453503821680021 ]
89
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave", "Square Wave" ]
You should focus on the cyclic components of the time series. Do they have similar patterns aside from the trend?
Similarity Analysis
Shape
403
null
You are given two time series where one is the lagged version of the other. What is the most likely lagging step?
[ "Lagging step is between 30 to 45", "Lagging step is between 60 to 75", "Lagging step is between 5 to 10" ]
Lagging step is between 30 to 45
multiple_choice
[ 0.11231930279921853, 0.11824289552956956, 0.19226010423522377, 0.13992358533706578, 0.18966083833592023, 0.2531807107173413, 0.21576208666558694, 0.2339106524294051, 0.31610433706553076, 0.33501227212337364, 0.32066926129792295, 0.30077357369209107, 0.33582225094669976, 0.3857935494921573, 0.3616599631598732, 0.3269931228307427, 0.35205802682969134, 0.3349450042900122, 0.2945025160860171, 0.24794455873452115, 0.23703295828750637, 0.35170783003373934, 0.37191953441433234, 0.3083724247775203, 0.2662501729230874, 0.19281550945317097, 0.20257370414466563, 0.1727329803007606, 0.1547688960230229, 0.13261893253972748, 0.13546517041741274, 0.19518511806610495, 0.1777825425421718, 0.19111182779688896, 0.2243434488504291, 0.23831906488270538, 0.2833435474579739, 0.29452600607909607, 0.28351692604801143, 0.20193274917717835, 0.1789086542436565, 0.1442361551480717, 0.18777882595237336, 0.23048997070084645, 0.24770681818826462, 0.2757528693967005, 0.20549467084146358, 0.14235660687341345, 0.08972429679122931, 0.07036211603470542, 0.09239019639305132, 0.07835427702430554, 0.08991113064563748, 0.062078732716724414, 0.029986635352838124, 0.06403388642436367, 0.039879012105503556, 0.029952100481854194, 0.019850345741540053, -0.04375827621599854, -0.04697187163822842, -0.053543448192520486, -0.08393890029962432, -0.06577631969016792, -0.07301218271899385, -0.10388068501831559, -0.10071760848081239, -0.11674177969183079, -0.12739057239640955, -0.1165529913891629, -0.01256682281633846, 0.03887206464499788, -0.051337360141111656, -0.034856756704247906, 0.062480632890228184, 0.07736673463108412, 0.06273443788028625, -0.008657578755102771, 0.03619390469105688, -0.017465437571642164, 0.04688119100729353, 0.16144645017542422, 0.06818743273594652, -0.0322384595106156, 0.009325582142217188, 0.008476268168286243, 0.007205437601895771, -0.00568531606663163, -0.0016936109714517904, 0.060365366038787505, 0.059697720594853426, -0.04946197559342007, -0.08279501652273463, -0.0811183460261384, -0.08087659053980999, -0.04178901873906206, -0.03643275526901306, -0.13014812827921549, -0.24831928169215223, -0.17724884391020465, -0.21266775136826466, -0.16071690946782885, -0.19919127648725643, -0.18302385552397848, -0.18158477243351945, -0.23381999037165974, -0.2264786395583274, -0.14847108770095196, -0.1943610275826667, -0.21922019971022608, -0.29540443517086235, -0.2549307036124304, -0.19969784697268833, -0.2063138617178978, -0.2775240823655561, -0.3134083869924289, -0.322080931322942, -0.39023635421141606, -0.3223938058740721, -0.2511000364289771, -0.17345380049982212, -0.2508044509739522, -0.2585820861304741, -0.33258936903166925, -0.3067953718042328, -0.33311608571547113, -0.34649894612349486, -0.39265780202993705, -0.4112379674300366, -0.4779008557199189, -0.4702889910337546, -0.44571997335107855, -0.46352385493421905, -0.47372942100991433, -0.5169314964011411, -0.5062686070318276, -0.44751799444698465, -0.4317498416188071, -0.3663410941012706, -0.38324830568213963, -0.38988344353372334, -0.3845939811436837, -0.3564261398955472, -0.3512655507446849, -0.3038608656095718, -0.29982466437052757, -0.3239876933152352, -0.3346864371034602, -0.2875867255016904, -0.30309661543090927, -0.32336667369821853, -0.25093589740494515, -0.2426716148161956, -0.28489878050334877, -0.34803754029307926, -0.4470640640033393, -0.3838113627332079, -0.41595429830505937, -0.44514365936361805, -0.39677356974627687, -0.39742320877767207, -0.446855592001827, -0.4163859086862365, -0.4550903277127306, -0.477392383770018, -0.3975419681363778, -0.384089575943507, -0.3060990411912124, -0.19103851264067095, -0.19352373454466018, -0.1386429605650697, -0.06747754094729885, -0.12155615716469687, -0.10618789500322215, -0.052404108957464605, -0.04437354150937914, -0.02797485381560259, 0.0027482063978228125, -0.035527527036218365, 0.041827153691415084, 0.019003019857236868, 0.011583297273033682, -0.01071905931734906, -0.04690749817481701, -0.09079810401536, -0.12135114071985204, -0.19177121642636247, -0.17111424574465492, -0.12090013339156129, -0.2029789793200063, -0.2179975806903582, -0.23965991595510092, -0.1703820076791661, -0.17831925632842802, -0.1779116031537365, -0.17655989505269956, -0.1842455704140612, -0.18505153311244052, -0.1899382176095374, -0.14602808199116987, -0.19571862831196965, -0.1741590043406969, -0.19805893900471283, -0.18769217884302364, -0.23362580402538458, -0.18168420665720802, -0.19473178479526454, -0.21528747495361966, -0.23829966337183484, -0.20941041228884036, -0.16320273857312706, -0.12400084414971507, -0.2116937328794608, -0.3295340766225096, -0.3381154491706711, -0.2507822968650773, -0.2818878188392022, -0.25348295913895624, -0.25404445308624957, -0.25340035757887003, -0.17268061135504448, -0.16359116136692411, -0.08529401735384523, -0.10113776078644139, -0.08634581946092786, -0.04687218857218874, -0.12486489907719067, -0.08037389600400566, -0.07031756128462628, -0.006252995926889951, -0.05299841219424586, -0.0853251728753444, -0.13969084158737569, -0.151469477081626, -0.11385508335259159, -0.03990551269292607, -0.031839841697559414, -0.04048000968566905, 0.02897185436921515, 0.02692661145879542, 0.07013112893289539, -0.002585461398760508, -0.029691104293203537, -0.012593659670557582, -0.03094225945093683, -0.11756716068807155, -0.1007240218033865, -0.2594697436574254, -0.2885161165898347, -0.29424861688089715, -0.34575496664896566, -0.3101468925703593, -0.2879806370253597, -0.22652240077630945, -0.244700094815074, -0.2550870348429848, -0.27129409544744193, -0.2550540361912549, -0.2539474888368753, -0.3008839180822867, -0.3321502627861794, -0.3614878563733786, -0.42889860891423354, -0.5166585586838839, -0.42036297448019183, -0.3790038982373657, -0.3552178844466577, -0.32965044911149505, -0.31638665174092007, -0.3727961643326843, -0.33561071394103853, -0.30389550040778895, -0.1690755038573326, -0.2246332458324753, -0.1381597801828811, -0.1985607427047555, -0.2782274079988315, -0.29609506568516963, -0.37270066312191685, -0.3022386286289322, -0.2536767296777389, -0.2827561126504315, -0.3012530467630215, -0.3202524127474884, -0.3135679827596614, -0.3130262523210021, -0.2803977166689561, -0.22595378991629594, -0.07437700662542471, -0.11990458158380302, -0.12328653452393505, -0.15360282820788806, -0.1332368500995691, -0.03927806883637443, -0.012995676765103558, 0.04015341554690728, 0.041513112579494034, 0.07261401687663903, 0.06956760438509556, 0.13354154278068237, 0.13815675560696503, 0.04634664434043463, -0.010100019628380294, 0.009012515765046868, 0.023987554296701102, -0.006683181305579607, 0.012223944912493009, 0.08170519965540413, 0.10405850893243904, 0.11945114517607179, 0.13632440693472783, 0.16980897060712413, 0.2216341237255524, 0.2535441592183374, 0.18945407208805692, 0.22357703109133173, 0.28964895507740474, 0.33031391813952504, 0.4228691729242268, 0.44516885115023425, 0.4711393343837733, 0.47908158546158264, 0.515773235385304, 0.5349870567933808, 0.537912942416342, 0.5038079934656853, 0.5216707159682132, 0.40454953104683933, 0.43568380984110877, 0.4355759759416455, 0.4390334727193671, 0.4115380178464894, 0.4308974505908296, 0.40764232193167416, 0.4526768186390108, 0.510130727534826, 0.5116322453599904, 0.4892057911497861, 0.41542634188187505, 0.41671320076003254, 0.41106613661121555, 0.45231850507178656, 0.48429259190584134, 0.4721292898701934, 0.43773303631788163, 0.3315218372994768, 0.35719014461755483, 0.37006412724388327, 0.438004599237584, 0.49263103332805824, 0.3729542637841053, 0.39250719422407826, 0.3947779848873746, 0.471478337502326, 0.4532202725620203, 0.44555872805734814, 0.4172825100031361, 0.453074883417899, 0.4490785997255792, 0.3613502308312423, 0.40801213827639277, 0.3461233356694101, 0.3453623791860541, 0.2761048660029054, 0.19864245412521747, 0.3014017769937302, 0.2545889452903141, 0.3581241766110405, 0.38265952847355983, 0.45429022734925983, 0.5020278441240962, 0.47132533339829674, 0.5161527112839782, 0.4707119552686586, 0.4514493400871057, 0.4305655511867496, 0.40581573746039623, 0.3831261728352068, 0.36744295713386615, 0.34510020173231076, 0.3825050208514635, 0.35941632074114005, 0.3518102559940753, 0.4253655677004757, 0.41363901985598295, 0.41219399189450684, 0.41817921302863037, 0.4148498301868643, 0.43381705650587515, 0.42637490289381746, 0.428788577916097, 0.4662825926173635, 0.45550507385369293, 0.4437670434273702, 0.44786176171799935, 0.5141192267387666, 0.5775840580094238, 0.6384943569593344, 0.5895881240394995, 0.5692050757531043, 0.6223093704136836, 0.7572083466202926, 0.7929868310862951, 0.7650575526125052, 0.8417165601122909, 0.7998706044757046, 0.8117686534241864, 0.71405403122524, 0.7341844588950316, 0.7066963718746129, 0.6685979618868, 0.5864590164126628, 0.6301773826169562, 0.5942534311621515, 0.7079003059408931, 0.7434439634102747, 0.6867479789030164, 0.5906538806259315, 0.6046360358530322, 0.5640042352229563, 0.6426511201279376, 0.5639332582494991, 0.5370938096152386, 0.5569498582392923, 0.505593229452342, 0.549651462470286, 0.4536357058007123, 0.46008581459192194, 0.47787807999613985, 0.44381223428701455, 0.4310145651043936, 0.4562507581530817, 0.47596119316941493, 0.43233624584191965, 0.5274553624817155, 0.5435270933475186, 0.559565802313221, 0.531950364223548, 0.5216576126146616, 0.5229509939061864, 0.503673574625262, 0.49219791283045045, 0.46076690116183444, 0.47960099640012727, 0.5607117130199366, 0.6478148238281665, 0.6061660262520343, 0.580660235201585, 0.4950948980749297, 0.6018768125544534, 0.6285035486980047, 0.6239153318502609, 0.6035845309634477, 0.6889703104601116, 0.6918349276871549, 0.7100885031647078, 0.6816888570928438, 0.671729586425124, 0.6595850178784934, 0.6267130199555728, 0.6139780366420755, 0.6218823709711581, 0.6074256002972241, 0.6177952132924077, 0.6854453497201728, 0.704793259627383, 0.6763380869345316, 0.6364948254701126, 0.5704302687203916, 0.5701989119842718, 0.5878221750977694, 0.5736666157349729, 0.5218998408232105, 0.5110947717184193, 0.5687674196824039, 0.5972039974231147, 0.556885625058374, 0.5131500409041689, 0.5224070659334282, 0.508210370598498, 0.553167368584059, 0.6057644431469775, 0.5911506293780774, 0.5955018211049345, 0.5401331577515144, 0.5345028812297568, 0.4723367005588999, 0.4164944789247171, 0.40707578011030093, 0.4530896891224316, 0.46742379080404, 0.45940640922899006, 0.43090619201579133, 0.4013568884079336, 0.362170614776205, 0.36604559286849336, 0.3665322409376104, 0.3764113360495923, 0.38291493810572946, 0.3810473238880584, 0.39422942361690994, 0.4425803212247543, 0.4382524492364756, 0.42954283798945675, 0.4096167452428277, 0.5074093559454481, 0.520581949814292, 0.4938316891553522, 0.6559050773858537, 0.6709206096674623, 0.6936127702689738, 0.7213346819684512, 0.7556441270543137, 0.6787790868617486, 0.6351163556927683, 0.5604897045745039, 0.5087303933057539, 0.5247198252618483, 0.5581113940010353, 0.5390723694868389, 0.5919770647009636, 0.5688228194274457, 0.6504090318832892, 0.7109415030104498, 0.7806695787145715, 0.9013595599979702, 0.9078934861271817, 0.9257408834234336, 0.9557065904141078, 0.9860885578386355, 1.0801221672382384, 1.0182932571816774, 1.0562259607604148, 1.0533746402312654, 1.0389937916491028, 1.0438216965775016, 1.0230915521774622, 1.0069132869508757, 0.9931097776959639, 1.045122688263467, 1.0120458916930215, 1.0432540676419582, 0.9892209094017855, 0.9301132479874705, 0.9091851601250618, 0.9115038596035234, 0.8041988860760239, 0.7386818908080985, 0.6961717988771099, 0.6635443019452825, 0.5444477480771089, 0.6075654633431727, 0.7028743578215335, 0.6786219492042483, 0.7226953181189973, 0.7371273534480149, 0.7426782780947632, 0.7246323782623248, 0.7747787623603546, 0.8196877396525765, 0.730138748431631, 0.7182661889140525, 0.7194078353006002, 0.7783561619252889, 0.6751261170371036, 0.5790394292946314, 0.5794493414043702, 0.5125856200937273, 0.5190727999007523, 0.4974380448750195, 0.4582820332682535, 0.4982188343545409, 0.5352644265284424, 0.5153981899869337, 0.43886370853546514, 0.4761467575866072, 0.5565174351721072, 0.5658137960356083, 0.47535189814009565, 0.5796735745469507, 0.5586042358526552, 0.6478912957512545, 0.5882904771843243, 0.6518973493971632, 0.6753395009533152, 0.6823073682639915, 0.6438544792816225, 0.574431690570853, 0.6087350838633659, 0.6323109589933098, 0.551010084841865, 0.5439604724983234, 0.4382693613577871, 0.42190292654160827, 0.4878297726021037, 0.4861489994209106, 0.5094909869336155, 0.5195743857856246, 0.4584185223726252, 0.4884508123021081, 0.529331557949651, 0.6122367473830179, 0.5858088139326922, 0.48578979199751715, 0.5469867193757106, 0.5390332550632396, 0.5388358516144962, 0.5727853918277744, 0.5751915505873948, 0.66275857087267, 0.662706528648564, 0.6594522149718179, 0.6630817971385125, 0.5977124578558097, 0.6474272063883264, 0.6533839271697386, 0.749707302915402, 0.7402852044236664, 0.8395979586628601, 0.8726498217021782, 0.8941049529883268, 0.9676272287397366, 1.0572127743334758, 1.0197050630357252, 1.0517602865211413, 1.123409878856015, 1.1304104239476838, 1.0382071028560858, 1.072272881887975, 1.186764528249123, 1.0872842034240453, 1.057442169393693, 1.0865009349447339, 1.1672157021823313, 1.1339978497822165, 1.1435970610775674, 1.0371561899459465, 1.0219970215911018, 1.000103382927459, 1.0122942176391516, 1.0208395422594525, 1.040562538574074, 1.0794481651515409, 1.0944461980276916, 1.018726492066637, 1.0957745502955303, 1.1015622455890435, 1.0951115871144599, 1.0760150851718984, 1.0984702149723922, 1.0958140896992508, 1.0696900765729664, 1.0481404072737952, 1.0588097834506804, 0.9961205376570617, 1.0060841917853023, 0.9982660718218945, 0.993241659122369, 0.9280516536507193, 0.9250851684339358, 0.9925569065526001, 0.9872430541327145, 0.925634614907968, 0.895125494509557, 0.9377969504345334, 0.9055058729341996, 0.9610568761468754, 0.9725146200029788, 0.912344636672699, 0.9224182939293406, 0.9092004068524739, 0.9516205248824304, 0.8902364629452169, 0.8524559328150498, 0.8488905759844362, 0.8758813719255328, 0.9256668368574869, 0.9809076349894075, 1.084052283413555, 1.0611453316175303, 1.191181462033942, 1.247094344463921, 1.1610311499281716, 1.1155819462835996, 1.089918419237017, 0.9668003671965586, 0.9612282398556151, 0.9884182801141205, 0.9823865130411079, 1.025119566938981, 0.9391043886200766, 0.9645464879947427, 0.9668571228960239, 1.0756761593034276, 1.0528042715434358, 0.9794812270400158, 1.1003234703855385, 1.121533530496447, 1.1153029173271884, 1.161546978853199, 1.1553903595714161, 1.1500421806468641, 1.139683417416969, 1.1957952819980344, 1.159019592227424, 1.0946308009129095, 0.9993535086679595, 0.9702105838513422, 0.9859215876143289, 1.0130365981328855, 0.9809698940327662, 0.8823443919014593, 0.8460786589798615, 0.792224862744631, 0.8576735182020732, 0.8757582295882138, 0.7903299652622082, 0.719685813756694, 0.7384076710338736, 0.6083345346383374, 0.5859303711155186, 0.5748084214011634, 0.5283375683605518, 0.5191128950181326, 0.47107918425972983, 0.350080720269646, 0.31452906339914155, 0.2645454486861215, 0.24800649335913358, 0.2262112781435546, 0.24053788079493166, 0.2480393072572457, 0.2413050717214863, 0.16996995708306162, 0.19878749359120565, 0.18722059068869662, 0.18170500736477113, 0.09030776228125238, 0.13677550099596467, 0.1071702624578199, 0.11594847079251844, 0.15299954754053546, 0.13026837386024961, 0.12520710240404528, 0.17936738013466735, 0.10541371883356915, 0.08958036449127196, 0.04605190737380585, 0.09595145020189387, 0.16318037779294503, 0.10778208771219513, 0.08003007941692503, 0.0674099953347514, 0.013600873594587545, -0.05627731376517968, -0.13013329098366538, -0.03757511794906468, -0.07787482017504285, -0.10379342373290848, -0.12408836048452601, -0.1586571634781081, -0.1431835823809867, 0.037671226072451325, 0.02178512244511483, 0.0010766520717112836, -0.03573694765763624, -0.07210110257042424, -0.14260791927137503, -0.07214885477991181, -0.019459891379037315, -0.04803852861714403, -0.03224467906990203, -0.08092629230543485, -0.08063166419565264, -0.13929909140242358, -0.1575580792699901, -0.1301050184587868, -0.0941107905470338, -0.11380342533148176, -0.07479104610424789, -0.01804904847718751, -0.077383753646268, -0.017965175033085222, 0.058267133870038686, 0.13980230284032025, 0.09966931869418122, 0.08994867312156563, 0.14839960651948236, 0.22066491100247732, 0.2309858957730771, 0.27822154470285865, 0.2766202966126536, 0.2962932724061308, 0.28780641138593677, 0.2654521234524216, 0.22555625178243713, 0.18621938055533727, 0.2160160872044494, 0.20740042152216048, 0.22586824878136785, 0.14298077545837568, 0.11445257437235332, 0.04743140000711084, -0.004455314617401354, 0.06109991821166037, 0.10443982301837684, 0.10024721626837904, 0.0341853204469864, -0.0025211827865826014, 0.06252268305066433, 0.013546850043503908, 0.06500283863651365, 0.0906412156098433, 0.09343347072451072, 0.09973846355607813, 0.09804290043130993, 0.10476362043633812, 0.08755095169886536, 0.017268003484445904, 0.046005671624567576, 0.07427418624154762, -0.05712938350878301, -0.03493897912839153, 0.03390968129205357, 0.0679735542720088, 0.019832753360402237, -0.026165855395331186, 0.026472827430258368, 0.0029180590692347366, 0.057828340146546676, 0.0690110784989346, -0.02914842411281142, -0.029364929028722883, 0.0388477705281456, 0.009265020282576687, 0.051928645257790534, -0.010530218266028422, -0.060429988951184586, -0.09713019577496176, -0.09403997085423035, -0.12513142201195943, -0.09015339828582522, -0.10212521614325841, -0.11656657184571881, -0.14944699325612346, -0.17835323483045756, -0.20310841053423223, -0.2042235142238447, -0.1994244805231276, -0.17340360065727467, -0.15399996953433573, -0.17699636301867258, -0.12959080484911806, -0.19381321164363705, -0.2406419716695235, -0.2679172806213145, -0.23604214190000622, -0.18142420040676832, -0.16263990146710675, -0.1523434733493209, -0.2518811982872882, -0.2923903473979052, -0.304562914918132, -0.38282235374787443, -0.32804575215535753, -0.33321654579986143, -0.40011199881045584, -0.3660049351264792, -0.34707115634266916, -0.3733942687880345, -0.45059711734104635, -0.4559143201352393, -0.4656816205434164, -0.41260250704052265, -0.3768934657270481, -0.40037183955568295, -0.47965403754636526, -0.46111144705753887, -0.4034513503132668, -0.36969174184945397, -0.3909406274084647, -0.3854832494372782, -0.3557468298016005, -0.32379163267263705, -0.33849018212704113, -0.3637104384783869, -0.31396337050987716, -0.2967552395886389, -0.22898268552881512, -0.18901750501079134, -0.16216476993806483, -0.15957034719266286, -0.07286794672782085, 0.02014889764529325, 0.04683517688979793, -0.01616517215119318, 0.027462669665134117, -0.012804469684759227, 0.008813827387219548, -0.055652190905767535, -0.012363567476318706, -0.01884461392586364, 0.003374773991704126, 0.08208120502034996, 0.07280166782356728, 0.09317239984185732, 0.11372337944630499, 0.0024632392857220076, 0.07635994848949786, 0.1229612042871926, 0.17867393163699108, 0.19435367301327333, 0.11092846433440552, 0.12596667361258115, 0.12072103766287967, 0.11272835997435396, 0.21064047335643843, 0.18384396176941642, 0.2659759834705458, 0.19435710635896594, 0.12117898361268586, 0.18437697216528712, 0.08150328595549523, 0.1325383788158228, 0.057944363063355986, 0.03157726919714965, 0.009411670433986066, 0.02671411318309925, 0.08638501735332456, 0.07218107423125034, 0.12342404271872709, 0.15744387835538262, 0.1872051553048779, 0.1560408628646876, 0.10732054130712093, 0.1379221779918924, 0.20729337531710187, 0.18709337879685048, 0.2543403567747998, 0.2420391091063962, 0.11030468298608284, 0.11214111868352483, 0.10852998204828838, 0.15024584239829591, 0.1300071402515795, 0.07749812127375984, 0.05968941745584651, 0.13754955218329612, 0.0886297073522746, 0.146340067911922, 0.14913596683128266, 0.10329736001799725, 0.15067860270845182, 0.24190942737697962, 0.24955243696654017, 0.24485081882048446, 0.2927421524226062, 0.21897838551936444, 0.18935504972844935, 0.16166838982644877, 0.1759959741813697, 0.18880718734423363, 0.1601087538536202, 0.12357851249248972, 0.10421278946739235, 0.11878835359080533, 0.10931417039389486, 0.13600403071926942, 0.15008536828147304, 0.10710522139105669, 0.12318156534620955, 0.1571507767731195, 0.08164823737039045, -0.0020160621042937116, 0.06485546750378943, 0.10852850315049353, 0.11135770372113002, 0.08372065425720111, 0.10037270831258588, 0.04760310321346143, 0.025829383264859646, 0.012012011671323299, -0.0018991454454578508, 0.02512194223231328, 0.07390552824506288, 0.1483233259214895, 0.13510395986598195, 0.11226359746738024, 0.11236579954041165, 0.17251496567631927, 0.14391243575495125, 0.14471482082672874, 0.13499259217430815, 0.14471649075307985, 0.1616951156194511, 0.1964928578622666, 0.20785610743506314, 0.21191240169275677, 0.2747707396888366, 0.20421128955245166, 0.15489093245471522, 0.06757615392999973, 0.0795182235230087, 0.04274496029726612, -0.013905448741023257, 0.041509496300379894, 0.07523759680700443, 0.15094143844024804, 0.1419012723589903, 0.11371964187310922, 0.07185699206351562, 0.138510536232715, 0.12917925419862672, 0.23017354210354374, 0.20296936415620465, 0.23136758329193424, 0.26911012610501206, 0.22015955049970348, 0.26800915808756254, 0.21356032039750578, 0.2570914905516062, 0.21459087916433928, 0.23211613257590097, 0.20688967931690014 ]
[ 0.19518511806610495, 0.1777825425421718, 0.19111182779688896, 0.2243434488504291, 0.23831906488270538, 0.2833435474579739, 0.29452600607909607, 0.28351692604801143, 0.20193274917717835, 0.1789086542436565, 0.1442361551480717, 0.18777882595237336, 0.23048997070084645, 0.24770681818826462, 0.2757528693967005, 0.20549467084146358, 0.14235660687341345, 0.08972429679122931, 0.07036211603470542, 0.09239019639305132, 0.07835427702430554, 0.08991113064563748, 0.062078732716724414, 0.029986635352838124, 0.06403388642436367, 0.039879012105503556, 0.029952100481854194, 0.019850345741540053, -0.04375827621599854, -0.04697187163822842, -0.053543448192520486, -0.08393890029962432, -0.06577631969016792, -0.07301218271899385, -0.10388068501831559, -0.10071760848081239, -0.11674177969183079, -0.12739057239640955, -0.1165529913891629, -0.01256682281633846, 0.03887206464499788, -0.051337360141111656, -0.034856756704247906, 0.062480632890228184, 0.07736673463108412, 0.06273443788028625, -0.008657578755102771, 0.03619390469105688, -0.017465437571642164, 0.04688119100729353, 0.16144645017542422, 0.06818743273594652, -0.0322384595106156, 0.009325582142217188, 0.008476268168286243, 0.007205437601895771, -0.00568531606663163, -0.0016936109714517904, 0.060365366038787505, 0.059697720594853426, -0.04946197559342007, -0.08279501652273463, -0.0811183460261384, -0.08087659053980999, -0.04178901873906206, -0.03643275526901306, -0.13014812827921549, -0.24831928169215223, -0.17724884391020465, -0.21266775136826466, -0.16071690946782885, -0.19919127648725643, -0.18302385552397848, -0.18158477243351945, -0.23381999037165974, -0.2264786395583274, -0.14847108770095196, -0.1943610275826667, -0.21922019971022608, -0.29540443517086235, -0.2549307036124304, -0.19969784697268833, -0.2063138617178978, -0.2775240823655561, -0.3134083869924289, -0.322080931322942, -0.39023635421141606, -0.3223938058740721, -0.2511000364289771, -0.17345380049982212, -0.2508044509739522, -0.2585820861304741, -0.33258936903166925, -0.3067953718042328, -0.33311608571547113, -0.34649894612349486, -0.39265780202993705, -0.4112379674300366, -0.4779008557199189, -0.4702889910337546, -0.44571997335107855, -0.46352385493421905, -0.47372942100991433, -0.5169314964011411, -0.5062686070318276, -0.44751799444698465, -0.4317498416188071, -0.3663410941012706, -0.38324830568213963, -0.38988344353372334, -0.3845939811436837, -0.3564261398955472, -0.3512655507446849, -0.3038608656095718, -0.29982466437052757, -0.3239876933152352, -0.3346864371034602, -0.2875867255016904, -0.30309661543090927, -0.32336667369821853, -0.25093589740494515, -0.2426716148161956, -0.28489878050334877, -0.34803754029307926, -0.4470640640033393, -0.3838113627332079, -0.41595429830505937, -0.44514365936361805, -0.39677356974627687, -0.39742320877767207, -0.446855592001827, -0.4163859086862365, -0.4550903277127306, -0.477392383770018, -0.3975419681363778, -0.384089575943507, -0.3060990411912124, -0.19103851264067095, -0.19352373454466018, -0.1386429605650697, -0.06747754094729885, -0.12155615716469687, -0.10618789500322215, -0.052404108957464605, -0.04437354150937914, -0.02797485381560259, 0.0027482063978228125, -0.035527527036218365, 0.041827153691415084, 0.019003019857236868, 0.011583297273033682, -0.01071905931734906, -0.04690749817481701, -0.09079810401536, -0.12135114071985204, -0.19177121642636247, -0.17111424574465492, -0.12090013339156129, -0.2029789793200063, -0.2179975806903582, -0.23965991595510092, -0.1703820076791661, -0.17831925632842802, -0.1779116031537365, -0.17655989505269956, -0.1842455704140612, -0.18505153311244052, -0.1899382176095374, -0.14602808199116987, -0.19571862831196965, -0.1741590043406969, -0.19805893900471283, -0.18769217884302364, -0.23362580402538458, -0.18168420665720802, -0.19473178479526454, -0.21528747495361966, -0.23829966337183484, -0.20941041228884036, -0.16320273857312706, -0.12400084414971507, -0.2116937328794608, -0.3295340766225096, -0.3381154491706711, -0.2507822968650773, -0.2818878188392022, -0.25348295913895624, -0.25404445308624957, -0.25340035757887003, -0.17268061135504448, -0.16359116136692411, -0.08529401735384523, -0.10113776078644139, -0.08634581946092786, -0.04687218857218874, -0.12486489907719067, -0.08037389600400566, -0.07031756128462628, -0.006252995926889951, -0.05299841219424586, -0.0853251728753444, -0.13969084158737569, -0.151469477081626, -0.11385508335259159, -0.03990551269292607, -0.031839841697559414, -0.04048000968566905, 0.02897185436921515, 0.02692661145879542, 0.07013112893289539, -0.002585461398760508, -0.029691104293203537, -0.012593659670557582, -0.03094225945093683, -0.11756716068807155, -0.1007240218033865, -0.2594697436574254, -0.2885161165898347, -0.29424861688089715, -0.34575496664896566, -0.3101468925703593, -0.2879806370253597, -0.22652240077630945, -0.244700094815074, -0.2550870348429848, -0.27129409544744193, -0.2550540361912549, -0.2539474888368753, -0.3008839180822867, -0.3321502627861794, -0.3614878563733786, -0.42889860891423354, -0.5166585586838839, -0.42036297448019183, -0.3790038982373657, -0.3552178844466577, -0.32965044911149505, -0.31638665174092007, -0.3727961643326843, -0.33561071394103853, -0.30389550040778895, -0.1690755038573326, -0.2246332458324753, -0.1381597801828811, -0.1985607427047555, -0.2782274079988315, -0.29609506568516963, -0.37270066312191685, -0.3022386286289322, -0.2536767296777389, -0.2827561126504315, -0.3012530467630215, -0.3202524127474884, -0.3135679827596614, -0.3130262523210021, -0.2803977166689561, -0.22595378991629594, -0.07437700662542471, -0.11990458158380302, -0.12328653452393505, -0.15360282820788806, -0.1332368500995691, -0.03927806883637443, -0.012995676765103558, 0.04015341554690728, 0.041513112579494034, 0.07261401687663903, 0.06956760438509556, 0.13354154278068237, 0.13815675560696503, 0.04634664434043463, -0.010100019628380294, 0.009012515765046868, 0.023987554296701102, -0.006683181305579607, 0.012223944912493009, 0.08170519965540413, 0.10405850893243904, 0.11945114517607179, 0.13632440693472783, 0.16980897060712413, 0.2216341237255524, 0.2535441592183374, 0.18945407208805692, 0.22357703109133173, 0.28964895507740474, 0.33031391813952504, 0.4228691729242268, 0.44516885115023425, 0.4711393343837733, 0.47908158546158264, 0.515773235385304, 0.5349870567933808, 0.537912942416342, 0.5038079934656853, 0.5216707159682132, 0.40454953104683933, 0.43568380984110877, 0.4355759759416455, 0.4390334727193671, 0.4115380178464894, 0.4308974505908296, 0.40764232193167416, 0.4526768186390108, 0.510130727534826, 0.5116322453599904, 0.4892057911497861, 0.41542634188187505, 0.41671320076003254, 0.41106613661121555, 0.45231850507178656, 0.48429259190584134, 0.4721292898701934, 0.43773303631788163, 0.3315218372994768, 0.35719014461755483, 0.37006412724388327, 0.438004599237584, 0.49263103332805824, 0.3729542637841053, 0.39250719422407826, 0.3947779848873746, 0.471478337502326, 0.4532202725620203, 0.44555872805734814, 0.4172825100031361, 0.453074883417899, 0.4490785997255792, 0.3613502308312423, 0.40801213827639277, 0.3461233356694101, 0.3453623791860541, 0.2761048660029054, 0.19864245412521747, 0.3014017769937302, 0.2545889452903141, 0.3581241766110405, 0.38265952847355983, 0.45429022734925983, 0.5020278441240962, 0.47132533339829674, 0.5161527112839782, 0.4707119552686586, 0.4514493400871057, 0.4305655511867496, 0.40581573746039623, 0.3831261728352068, 0.36744295713386615, 0.34510020173231076, 0.3825050208514635, 0.35941632074114005, 0.3518102559940753, 0.4253655677004757, 0.41363901985598295, 0.41219399189450684, 0.41817921302863037, 0.4148498301868643, 0.43381705650587515, 0.42637490289381746, 0.428788577916097, 0.4662825926173635, 0.45550507385369293, 0.4437670434273702, 0.44786176171799935, 0.5141192267387666, 0.5775840580094238, 0.6384943569593344, 0.5895881240394995, 0.5692050757531043, 0.6223093704136836, 0.7572083466202926, 0.7929868310862951, 0.7650575526125052, 0.8417165601122909, 0.7998706044757046, 0.8117686534241864, 0.71405403122524, 0.7341844588950316, 0.7066963718746129, 0.6685979618868, 0.5864590164126628, 0.6301773826169562, 0.5942534311621515, 0.7079003059408931, 0.7434439634102747, 0.6867479789030164, 0.5906538806259315, 0.6046360358530322, 0.5640042352229563, 0.6426511201279376, 0.5639332582494991, 0.5370938096152386, 0.5569498582392923, 0.505593229452342, 0.549651462470286, 0.4536357058007123, 0.46008581459192194, 0.47787807999613985, 0.44381223428701455, 0.4310145651043936, 0.4562507581530817, 0.47596119316941493, 0.43233624584191965, 0.5274553624817155, 0.5435270933475186, 0.559565802313221, 0.531950364223548, 0.5216576126146616, 0.5229509939061864, 0.503673574625262, 0.49219791283045045, 0.46076690116183444, 0.47960099640012727, 0.5607117130199366, 0.6478148238281665, 0.6061660262520343, 0.580660235201585, 0.4950948980749297, 0.6018768125544534, 0.6285035486980047, 0.6239153318502609, 0.6035845309634477, 0.6889703104601116, 0.6918349276871549, 0.7100885031647078, 0.6816888570928438, 0.671729586425124, 0.6595850178784934, 0.6267130199555728, 0.6139780366420755, 0.6218823709711581, 0.6074256002972241, 0.6177952132924077, 0.6854453497201728, 0.704793259627383, 0.6763380869345316, 0.6364948254701126, 0.5704302687203916, 0.5701989119842718, 0.5878221750977694, 0.5736666157349729, 0.5218998408232105, 0.5110947717184193, 0.5687674196824039, 0.5972039974231147, 0.556885625058374, 0.5131500409041689, 0.5224070659334282, 0.508210370598498, 0.553167368584059, 0.6057644431469775, 0.5911506293780774, 0.5955018211049345, 0.5401331577515144, 0.5345028812297568, 0.4723367005588999, 0.4164944789247171, 0.40707578011030093, 0.4530896891224316, 0.46742379080404, 0.45940640922899006, 0.43090619201579133, 0.4013568884079336, 0.362170614776205, 0.36604559286849336, 0.3665322409376104, 0.3764113360495923, 0.38291493810572946, 0.3810473238880584, 0.39422942361690994, 0.4425803212247543, 0.4382524492364756, 0.42954283798945675, 0.4096167452428277, 0.5074093559454481, 0.520581949814292, 0.4938316891553522, 0.6559050773858537, 0.6709206096674623, 0.6936127702689738, 0.7213346819684512, 0.7556441270543137, 0.6787790868617486, 0.6351163556927683, 0.5604897045745039, 0.5087303933057539, 0.5247198252618483, 0.5581113940010353, 0.5390723694868389, 0.5919770647009636, 0.5688228194274457, 0.6504090318832892, 0.7109415030104498, 0.7806695787145715, 0.9013595599979702, 0.9078934861271817, 0.9257408834234336, 0.9557065904141078, 0.9860885578386355, 1.0801221672382384, 1.0182932571816774, 1.0562259607604148, 1.0533746402312654, 1.0389937916491028, 1.0438216965775016, 1.0230915521774622, 1.0069132869508757, 0.9931097776959639, 1.045122688263467, 1.0120458916930215, 1.0432540676419582, 0.9892209094017855, 0.9301132479874705, 0.9091851601250618, 0.9115038596035234, 0.8041988860760239, 0.7386818908080985, 0.6961717988771099, 0.6635443019452825, 0.5444477480771089, 0.6075654633431727, 0.7028743578215335, 0.6786219492042483, 0.7226953181189973, 0.7371273534480149, 0.7426782780947632, 0.7246323782623248, 0.7747787623603546, 0.8196877396525765, 0.730138748431631, 0.7182661889140525, 0.7194078353006002, 0.7783561619252889, 0.6751261170371036, 0.5790394292946314, 0.5794493414043702, 0.5125856200937273, 0.5190727999007523, 0.4974380448750195, 0.4582820332682535, 0.4982188343545409, 0.5352644265284424, 0.5153981899869337, 0.43886370853546514, 0.4761467575866072, 0.5565174351721072, 0.5658137960356083, 0.47535189814009565, 0.5796735745469507, 0.5586042358526552, 0.6478912957512545, 0.5882904771843243, 0.6518973493971632, 0.6753395009533152, 0.6823073682639915, 0.6438544792816225, 0.574431690570853, 0.6087350838633659, 0.6323109589933098, 0.551010084841865, 0.5439604724983234, 0.4382693613577871, 0.42190292654160827, 0.4878297726021037, 0.4861489994209106, 0.5094909869336155, 0.5195743857856246, 0.4584185223726252, 0.4884508123021081, 0.529331557949651, 0.6122367473830179, 0.5858088139326922, 0.48578979199751715, 0.5469867193757106, 0.5390332550632396, 0.5388358516144962, 0.5727853918277744, 0.5751915505873948, 0.66275857087267, 0.662706528648564, 0.6594522149718179, 0.6630817971385125, 0.5977124578558097, 0.6474272063883264, 0.6533839271697386, 0.749707302915402, 0.7402852044236664, 0.8395979586628601, 0.8726498217021782, 0.8941049529883268, 0.9676272287397366, 1.0572127743334758, 1.0197050630357252, 1.0517602865211413, 1.123409878856015, 1.1304104239476838, 1.0382071028560858, 1.072272881887975, 1.186764528249123, 1.0872842034240453, 1.057442169393693, 1.0865009349447339, 1.1672157021823313, 1.1339978497822165, 1.1435970610775674, 1.0371561899459465, 1.0219970215911018, 1.000103382927459, 1.0122942176391516, 1.0208395422594525, 1.040562538574074, 1.0794481651515409, 1.0944461980276916, 1.018726492066637, 1.0957745502955303, 1.1015622455890435, 1.0951115871144599, 1.0760150851718984, 1.0984702149723922, 1.0958140896992508, 1.0696900765729664, 1.0481404072737952, 1.0588097834506804, 0.9961205376570617, 1.0060841917853023, 0.9982660718218945, 0.993241659122369, 0.9280516536507193, 0.9250851684339358, 0.9925569065526001, 0.9872430541327145, 0.925634614907968, 0.895125494509557, 0.9377969504345334, 0.9055058729341996, 0.9610568761468754, 0.9725146200029788, 0.912344636672699, 0.9224182939293406, 0.9092004068524739, 0.9516205248824304, 0.8902364629452169, 0.8524559328150498, 0.8488905759844362, 0.8758813719255328, 0.9256668368574869, 0.9809076349894075, 1.084052283413555, 1.0611453316175303, 1.191181462033942, 1.247094344463921, 1.1610311499281716, 1.1155819462835996, 1.089918419237017, 0.9668003671965586, 0.9612282398556151, 0.9884182801141205, 0.9823865130411079, 1.025119566938981, 0.9391043886200766, 0.9645464879947427, 0.9668571228960239, 1.0756761593034276, 1.0528042715434358, 0.9794812270400158, 1.1003234703855385, 1.121533530496447, 1.1153029173271884, 1.161546978853199, 1.1553903595714161, 1.1500421806468641, 1.139683417416969, 1.1957952819980344, 1.159019592227424, 1.0946308009129095, 0.9993535086679595, 0.9702105838513422, 0.9859215876143289, 1.0130365981328855, 0.9809698940327662, 0.8823443919014593, 0.8460786589798615, 0.792224862744631, 0.8576735182020732, 0.8757582295882138, 0.7903299652622082, 0.719685813756694, 0.7384076710338736, 0.6083345346383374, 0.5859303711155186, 0.5748084214011634, 0.5283375683605518, 0.5191128950181326, 0.47107918425972983, 0.350080720269646, 0.31452906339914155, 0.2645454486861215, 0.24800649335913358, 0.2262112781435546, 0.24053788079493166, 0.2480393072572457, 0.2413050717214863, 0.16996995708306162, 0.19878749359120565, 0.18722059068869662, 0.18170500736477113, 0.09030776228125238, 0.13677550099596467, 0.1071702624578199, 0.11594847079251844, 0.15299954754053546, 0.13026837386024961, 0.12520710240404528, 0.17936738013466735, 0.10541371883356915, 0.08958036449127196, 0.04605190737380585, 0.09595145020189387, 0.16318037779294503, 0.10778208771219513, 0.08003007941692503, 0.0674099953347514, 0.013600873594587545, -0.05627731376517968, -0.13013329098366538, -0.03757511794906468, -0.07787482017504285, -0.10379342373290848, -0.12408836048452601, -0.1586571634781081, -0.1431835823809867, 0.037671226072451325, 0.02178512244511483, 0.0010766520717112836, -0.03573694765763624, -0.07210110257042424, -0.14260791927137503, -0.07214885477991181, -0.019459891379037315, -0.04803852861714403, -0.03224467906990203, -0.08092629230543485, -0.08063166419565264, -0.13929909140242358, -0.1575580792699901, -0.1301050184587868, -0.0941107905470338, -0.11380342533148176, -0.07479104610424789, -0.01804904847718751, -0.077383753646268, -0.017965175033085222, 0.058267133870038686, 0.13980230284032025, 0.09966931869418122, 0.08994867312156563, 0.14839960651948236, 0.22066491100247732, 0.2309858957730771, 0.27822154470285865, 0.2766202966126536, 0.2962932724061308, 0.28780641138593677, 0.2654521234524216, 0.22555625178243713, 0.18621938055533727, 0.2160160872044494, 0.20740042152216048, 0.22586824878136785, 0.14298077545837568, 0.11445257437235332, 0.04743140000711084, -0.004455314617401354, 0.06109991821166037, 0.10443982301837684, 0.10024721626837904, 0.0341853204469864, -0.0025211827865826014, 0.06252268305066433, 0.013546850043503908, 0.06500283863651365, 0.0906412156098433, 0.09343347072451072, 0.09973846355607813, 0.09804290043130993, 0.10476362043633812, 0.08755095169886536, 0.017268003484445904, 0.046005671624567576, 0.07427418624154762, -0.05712938350878301, -0.03493897912839153, 0.03390968129205357, 0.0679735542720088, 0.019832753360402237, -0.026165855395331186, 0.026472827430258368, 0.0029180590692347366, 0.057828340146546676, 0.0690110784989346, -0.02914842411281142, -0.029364929028722883, 0.0388477705281456, 0.009265020282576687, 0.051928645257790534, -0.010530218266028422, -0.060429988951184586, -0.09713019577496176, -0.09403997085423035, -0.12513142201195943, -0.09015339828582522, -0.10212521614325841, -0.11656657184571881, -0.14944699325612346, -0.17835323483045756, -0.20310841053423223, -0.2042235142238447, -0.1994244805231276, -0.17340360065727467, -0.15399996953433573, -0.17699636301867258, -0.12959080484911806, -0.19381321164363705, -0.2406419716695235, -0.2679172806213145, -0.23604214190000622, -0.18142420040676832, -0.16263990146710675, -0.1523434733493209, -0.2518811982872882, -0.2923903473979052, -0.304562914918132, -0.38282235374787443, -0.32804575215535753, -0.33321654579986143, -0.40011199881045584, -0.3660049351264792, -0.34707115634266916, -0.3733942687880345, -0.45059711734104635, -0.4559143201352393, -0.4656816205434164, -0.41260250704052265, -0.3768934657270481, -0.40037183955568295, -0.47965403754636526, -0.46111144705753887, -0.4034513503132668, -0.36969174184945397, -0.3909406274084647, -0.3854832494372782, -0.3557468298016005, -0.32379163267263705, -0.33849018212704113, -0.3637104384783869, -0.31396337050987716, -0.2967552395886389, -0.22898268552881512, -0.18901750501079134, -0.16216476993806483, -0.15957034719266286, -0.07286794672782085, 0.02014889764529325, 0.04683517688979793, -0.01616517215119318, 0.027462669665134117, -0.012804469684759227, 0.008813827387219548, -0.055652190905767535, -0.012363567476318706, -0.01884461392586364, 0.003374773991704126, 0.08208120502034996, 0.07280166782356728, 0.09317239984185732, 0.11372337944630499, 0.0024632392857220076, 0.07635994848949786, 0.1229612042871926, 0.17867393163699108, 0.19435367301327333, 0.11092846433440552, 0.12596667361258115, 0.12072103766287967, 0.11272835997435396, 0.21064047335643843, 0.18384396176941642, 0.2659759834705458, 0.19435710635896594, 0.12117898361268586, 0.18437697216528712, 0.08150328595549523, 0.1325383788158228, 0.057944363063355986, 0.03157726919714965, 0.009411670433986066, 0.02671411318309925, 0.08638501735332456, 0.07218107423125034, 0.12342404271872709, 0.15744387835538262, 0.1872051553048779, 0.1560408628646876, 0.10732054130712093, 0.1379221779918924, 0.20729337531710187, 0.18709337879685048, 0.2543403567747998, 0.2420391091063962, 0.11030468298608284, 0.11214111868352483, 0.10852998204828838, 0.15024584239829591, 0.1300071402515795, 0.07749812127375984, 0.05968941745584651, 0.13754955218329612, 0.0886297073522746, 0.146340067911922, 0.14913596683128266, 0.10329736001799725, 0.15067860270845182, 0.24190942737697962, 0.24955243696654017, 0.24485081882048446, 0.2927421524226062, 0.21897838551936444, 0.18935504972844935, 0.16166838982644877, 0.1759959741813697, 0.18880718734423363, 0.1601087538536202, 0.12357851249248972, 0.10421278946739235, 0.11878835359080533, 0.10931417039389486, 0.13600403071926942, 0.15008536828147304, 0.10710522139105669, 0.12318156534620955, 0.1571507767731195, 0.08164823737039045, -0.0020160621042937116, 0.06485546750378943, 0.10852850315049353, 0.11135770372113002, 0.08372065425720111, 0.10037270831258588, 0.04760310321346143, 0.025829383264859646, 0.012012011671323299, -0.0018991454454578508, 0.02512194223231328, 0.07390552824506288, 0.1483233259214895, 0.13510395986598195, 0.11226359746738024, 0.11236579954041165, 0.17251496567631927, 0.14391243575495125, 0.14471482082672874, 0.13499259217430815, 0.14471649075307985, 0.1616951156194511, 0.1964928578622666, 0.20785610743506314, 0.21191240169275677, 0.2747707396888366, 0.20421128955245166, 0.15489093245471522, 0.06757615392999973, 0.0795182235230087, 0.04274496029726612, -0.013905448741023257, 0.041509496300379894, 0.07523759680700443, 0.15094143844024804, 0.1419012723589903, 0.11371964187310922, 0.07185699206351562, 0.138510536232715, 0.12917925419862672, 0.23017354210354374, 0.20296936415620465, 0.23136758329193424, 0.26911012610501206, 0.22015955049970348, 0.26800915808756254, 0.21356032039750578, 0.2570914905516062, 0.21459087916433928, 0.23211613257590097, 0.20688967931690014, 0.26466839511469065, 0.30754543572091286, 0.2695153285716087, 0.3071079977298065, 0.30561191633535606, 0.3148264288517468, 0.28839623116113533, 0.29052515901761417, 0.34536238668867925, 0.37348157860775943, 0.38997492163765973, 0.4239237591731916, 0.44089565961756416, 0.41681111690160405, 0.4677896222254213, 0.41884725481500307, 0.3557750040822426, 0.3129406201670831, 0.40580473065449446, 0.3767780926192842, 0.373855772042777, 0.4551624838584917, 0.43354607799902894, 0.42939377626014336, 0.47051895566729446, 0.4433993378754646, 0.48563975028628703, 0.5099447485210568, 0.5312947812559903, 0.46887628972162254, 0.5758547196306906 ]
98
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
You already know that one time series is the lagged version of the other. Shift the time series by lags proposed in the options and check which one looks the same as the other time series.
Causality Analysis
Granger Causality
404
null
What is the primary cyclic pattern observed in the time series?
[ "SawtoothWave", "No Pattern at all", "SineWave", "SquareWave" ]
No Pattern at all
multiple-choice
null
null
15
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave" ]
Check the overall shape of the time series against the definition of provided concepts
Pattern Recognition
Cycle Recognition
405
[ 0.5036792398603139, 0.5005658155458885, 0.49658585374646197, 0.5039485039776985, 0.49480927913766004, 0.503958927775036, 0.5062989112332337, 0.5056678844051952, 0.504744812103311, 0.5026534921846378, 0.5066268265794313, 0.5023901034640672, 0.4972760998951897, 0.5044873647249339, 0.4938195246716949, 0.49907997866157144, 0.5062306436983917, 0.5062118290851286, 0.5003352485893886, 0.4967832289992162, 0.5065119789414683, 0.5032659601211146, 0.49712944339290804, 0.5090193493123839, 0.5046512553773864, 0.5036719593772548, 0.5021552719854728, 0.5035172143274729, 0.5018790772082374, 0.5083312928873646, 0.5067812776659559, 0.5075474805067355, 0.5102324844514669, 0.5116226697809688, 0.5093097135583978, 0.5017317107097669, 0.5112583829345625, 0.5010962642838928, 0.5007453070252756, 0.5050026796077188, 0.5031374926890434, 0.5073808796555017, 0.5124226030768664, 0.5085474880873138, 0.5091096105646514, 0.4968420036590012, 0.5019639269506763, 0.5011548287935652, 0.5029429037874155, 0.509867717128023, 0.5009546887282781, 0.504922772884416, 0.5122960337157442, 0.506736149028019, 0.5050921396417962, 0.5020937137618474, 0.5052535791422711, 0.503414034323642, 0.501109906233547, 0.4971130330740346, 0.4953619280846057, 0.5050382204527131, 0.5033937243956271, 0.5033324830267668, 0.5105991452502684, 0.5141179046508051, 0.504735787030257, 0.5033074848511389, 0.5080413696911201, 0.5080223485189376, 0.5067018956351413, 0.4981316656971446, 0.5030646540984179, 0.5033843278939429, 0.5088684299490603, 0.5050333697590976, 0.5064332517870094, 0.5036885223798887, 0.5102506081578682, 0.5104791702020257, 0.5029767581717145, 0.5110068436871807, 0.5013663072243656, 0.5079233079220261, 0.5073128313627907, 0.5032282139704841, 0.5023057231884497, 0.5042267560722037, 0.5081285582531878, 0.5049005206452358, 0.5099792659558635, 0.5008332327709404, 0.509351949213823, 0.4939667350621206, 0.5045569909098873, 0.5045420156056521, 0.49752403713316407, 0.509245584747604, 0.5014197655517562, 0.505143393177468, 0.4979528545201995, 0.5037208119419441, 0.49918073048944495, 0.5083446753710111, 0.5031080357817319, 0.5005532709838197, 0.5075863602265246, 0.5040116503938704, 0.5053485399858019, 0.50608177255629, 0.503364120408669, 0.5003178357749051, 0.5046316293662637, 0.5041895487658378, 0.5108118490758443, 0.5063194933796663, 0.49678368207566603, 0.4971470995775229, 0.5155745716043717, 0.5048319658861631, 0.5036015641561639, 0.5085384166589549, 0.5033078917141228, 0.5028487957978354, 0.4974047722828837, 0.5099011061636693, 0.509879609999114, 0.5000373977731266, 0.5000270951494893, 0.5028032785979267, 0.5057648209562831, 0.5006771521480795, 0.5019030348634786, 0.5063942960465819, 0.5050853875776824, 0.5085135085839471, 0.5023498268892714, 0.5019493855507797, 0.49844359090038765, 0.5031448288962079, 0.49363703038015116, 0.4992869731540138, 0.5025013381635147, 0.49517828660360685, 0.5011208018707072, 0.5105809589455312, 0.5072725467306017, 0.5047483146490036, 0.5049492190557618, 0.5057859251677772, 0.5108453827372967, 0.5020816564414198, 0.5093150720393808, 0.5069660469850903, 0.5030739835359269, 0.5024357919686183, 0.5044571991143685, 0.5061100784109944, 0.503160066135778, 0.504268889778838, 0.502265751199313, 0.5078782527490056, 0.5029935735096649, 0.5108221231528409, 0.49907875925657413, 0.5026721941084724, 0.5006551147542488, 0.5066567356732963, 0.5049514325315408, 0.5000603965998657, 0.5126407547430277, 0.5064808338047213, 0.5044054985117682, 0.4971527647091032, 0.5064788983022595, 0.4958323789800555, 0.4906655181250165, 0.5039699242849969, 0.5042114805900215, 0.500472498609175, 0.5100630870774644, 0.4990992129505937, 0.49891952131431017, 0.49655283507160775, 0.5029802457481399, 0.5043597832024935, 0.5059167718043768, 0.5039087136490666, 0.4990674457373034, 0.5108165129039122, 0.4968518393918453, 0.4935608704987189, 0.4940736261454743, 0.49814555278714717, 0.5101435481336323, 0.5046698425423775, 0.4956818640772497, 0.5058819462821157, 0.5039476657246152, 0.5127652786905915, 0.5107233530997238, 0.5075626418525687, 0.49153195918563297, 0.4988903198875358, 0.4982857938906062, 0.5094369363583983, 0.5006766690347757, 0.5116838336199082, 0.4982632096605096, 0.5066021277088811, 0.49632929073322174, 0.5129107895206858, 0.5073767355250423, 0.5016582228951589, 0.5041668190766587, 0.5024217236262589, 0.505499421751252, 0.5032267875202386, 0.5079733923920771, 0.5004453410831218, 0.4951025195870709, 0.5037673152501713, 0.5041419729728528, 0.5088599404505899, 0.505766301955464, 0.5093176800334148, 0.5040922399553376, 0.49978972291441154, 0.501219486889348, 0.4943783686022277, 0.50054147765683, 0.5044952459607452, 0.5148155055257645, 0.5023876059579053, 0.5044925372679306, 0.49056528482826234, 0.5043369407562939, 0.5051274358701752, 0.5061520873665958, 0.5053855044639602, 0.4968484828600564, 0.5006724989868936, 0.5039869814268341, 0.5019761540727582, 0.5013132515465556, 0.49488350821838095, 0.5057629637077484, 0.4959127640675454, 0.5061920174616455, 0.4971970569193059, 0.5005401514382147, 0.5047639467073265, 0.4991649222632769, 0.5021268413700898, 0.5037856771064119, 0.491160359670547, 0.5146365107528361, 0.5037179983045372, 0.4996838091928305, 0.4975349074597679, 0.4966097028952773, 0.498713814013516, 0.5014499982470545, 0.5085861152559344, 0.49959501077538127, 0.503665798030901, 0.5000508378644062, 0.4899251188054564, 0.5080956498156276, 0.5039589661590675, 0.5046600272830327, 0.5053878570834043, 0.51063376744994, 0.5145407250247884, 0.5099804611610909, 0.5044784764929342, 0.505078132689274, 0.5063878842991871, 0.49599876172981816, 0.49935872918752106, 0.49846610581804834, 0.5040733961444758, 0.5062416106013855, 0.5128761295993474, 0.4928913134334798, 0.5041679528834343, 0.4990886485525502, 0.5044709624485703, 0.506331711682744, 0.5048164645104087, 0.5081250242385585, 0.5059970156148472, 0.5004453354205389, 0.49720988322954657, 0.501273012027192, 0.5063970613856865, 0.5103024463742324, 0.5122965415209068, 0.5124472033953597, 0.5044868995044697, 0.5024686703373845, 0.5133674374030135, 0.506512454967615, 0.5115230918386696, 0.5045960940068093, 0.5060690076225369, 0.49304496391547087, 0.5048794066284934, 0.5064670680119597, 0.503871950377199, 0.5062911575462933, 0.4992994091082027, 0.48942172030305015, 0.5084712721747597, 0.496903819269943, 0.5134232102709504, 0.5047835930529225, 0.514634273655104, 0.4977556321977959, 0.5023281289565431, 0.5018010207225956, 0.5114626404549101, 0.5009414930702172, 0.5033532873510549, 0.5001498013263119, 0.5075025857476364, 0.4968782988068129, 0.5090426277507718, 0.5021686929402638, 0.5063939772531303, 0.4983796298694672, 0.5001399930406489, 0.5015196258193666, 0.5067125366777414, 0.4962044789826408, 0.49954279940451135, 0.5161461073092064, 0.505967570832316, 0.5049356745734489, 0.5066158787354507, 0.4928322670932229, 0.5016099506136216, 0.5050537200241797, 0.4992366142155915, 0.5022032113737551, 0.5077666081468697, 0.5045266562633336, 0.4935291538664816, 0.5002270850742968, 0.5015646888145143, 0.4997190507191049, 0.507466655542039, 0.5092515146006953, 0.4992058268471943, 0.5006133273014552, 0.5052854686424707, 0.5063146798292424, 0.5070327517110486, 0.5010976338105514, 0.5021374657165348, 0.500279691111647, 0.5028282399448907, 0.49863328085931524, 0.5037056292324583, 0.5039680155635978, 0.5060554808633795, 0.5057058914582876, 0.5084937371338881, 0.5008941302416224, 0.5066811982699035, 0.5002770296530501, 0.49409687617255743, 0.4971802529960918, 0.5045880873116806, 0.5053429607347729, 0.5039058827982283, 0.5012933540916492, 0.5064092007589948, 0.5170610745169786, 0.4973952344832304, 0.5104829863852746, 0.5081952462429216, 0.5069781413456816, 0.506180478975743, 0.4987485624041761, 0.4972954766070233, 0.5026197254541603, 0.4950324164026392, 0.5073809414097961, 0.49694350569125484, 0.509736748551609, 0.49833618134247337, 0.5031130116693397, 0.510176721708059, 0.5061958800368418, 0.5044978976306047, 0.5016369592856983, 0.508010429049802, 0.5036151150360418, 0.5102034342007862, 0.4993536295239006, 0.4958083767393926, 0.5127407622822787, 0.5093842552139041, 0.49713092030964984, 0.49971494494879076, 0.508639144583645, 0.49529288095425833, 0.5031218371527728, 0.5120592572592411, 0.5039195004441513, 0.5022176482789088, 0.5110536309162281, 0.503702150293845, 0.49894288596819736, 0.49857352342293443, 0.5001872417080329, 0.5002727349732764, 0.5187265414193286, 0.49926312701299386, 0.492205043045407, 0.5019090370150696, 0.5049015064020935, 0.5050903893009001, 0.5062297686575733, 0.5009214400769006, 0.5015957587389929, 0.5024166076207525, 0.5033573529054368, 0.5006096285025496, 0.5092087594593198, 0.4996129221258698, 0.5108135345235444, 0.50421271256377, 0.4926394334474652, 0.5020280073031884, 0.5058631686866691, 0.49796026746758837, 0.5124188870063268, 0.504971397022666, 0.5064093689966157, 0.5091502330241012, 0.5006040754358143, 0.5061575349742115, 0.5020807784004035, 0.5050226003829735, 0.4991546686818149, 0.501411173178771, 0.5060252832803834, 0.4988422995803029, 0.5005749607284767, 0.5095665809476626, 0.5105083432348125, 0.5074019776070838, 0.5038179001895492, 0.49738498917389207, 0.4968176107191779, 0.5002435878895529, 0.4978644146588212, 0.49881390235408235, 0.5065854221281734, 0.4971980040359123, 0.5070703959036906, 0.5017421541914218, 0.5097184970278912, 0.5175130449305737, 0.5036508348826375, 0.5014619069723543, 0.5068023460001992, 0.5041394558094721, 0.5010607680884895, 0.5121032462559377, 0.5050100462523912, 0.5031166158095065, 0.5031814051895486, 0.504529236601279, 0.50201196613534, 0.5048818716959566, 0.4983738875878837, 0.4955524843822124, 0.5077235331371883, 0.5059918448031439, 0.4995498407788712, 0.4915417690713218, 0.5022966101443562, 0.5014280598303463, 0.5034779649373416, 0.5114879706097641, 0.5020125980681802, 0.49449750118488955, 0.5053547604427243, 0.5030224938340009, 0.49966164916783967, 0.5115956636762589, 0.5068790002794276, 0.5033347353134465, 0.5106146995099077, 0.5069413713718364, 0.514555594330897, 0.5001769444327496, 0.49773846688643075, 0.5015319150447206, 0.49717691887144777, 0.49506771071486233, 0.5007513088983628, 0.5101927994146126, 0.511296723332336, 0.5024151456714004, 0.4927571418439406, 0.5056310953056267, 0.5040578369788193, 0.513736316129586, 0.501418262284589, 0.5050474948085385, 0.4996164253621429, 0.5019276656853431, 0.5024602096730733, 0.49439658298448425, 0.5088683049255557, 0.508400166768995, 0.5027715637780154, 0.5050125284538579, 0.49816834146849237, 0.49806174510442125, 0.5015812352226185, 0.5110355517189432, 0.5019856652032663, 0.4959148893675777, 0.5022785570081726, 0.5003237392465412, 0.5020226624880684, 0.5070676559212355, 0.5079752998769116, 0.4943211896914174, 0.5173901690397228, 0.5079537645762803, 0.5127275961648444, 0.49687786064648565, 0.5107657728127306, 0.4994474044991341, 0.505899183645412, 0.5095220270937476, 0.495804481700588, 0.4998614210018533, 0.4923750281907094, 0.5027656148813113, 0.5092388528691965, 0.508144521043381, 0.5101961935205364, 0.503921798299007, 0.5051425831836852, 0.49937553207398155, 0.4974048321854692, 0.49243208217989837, 0.5035476170787313, 0.5072575179324278, 0.5056844497031573, 0.49921656679937926, 0.5094762871948209, 0.5012941579203462, 0.5057667285008858, 0.504698738908453, 0.5066045838375169, 0.5055884570682878, 0.5008416265647941, 0.49005097597355407, 0.506176349187056, 0.49740246287875567, 0.5015028513709133, 0.5002385418115057, 0.5058269222798528, 0.5046272270106856, 0.5048860980567533, 0.5100169655881504, 0.5041928750187628, 0.5062549400333173, 0.5015412802346512, 0.4960855119435297, 0.5031096626361702, 0.5144580062776508, 0.49930668436521, 0.5027251530025811, 0.49988155943120793, 0.4917986575255843, 0.5083065549014704, 0.4996498794463993, 0.5006019917413821, 0.49706393157242323, 0.5181188844524148, 0.5093762571694782, 0.5099730511879003, 0.5077495863484015, 0.5029318317511681, 0.5034604629217189, 0.49851570024735525, 0.5001011288491302, 0.5039156976939553, 0.5007846067357561, 0.5015221621631274, 0.5013122077493183, 0.4982582744711487, 0.5023478224827551, 0.5095826302063529, 0.5061804880991756, 0.4964181663684637, 0.5126536193466744, 0.5053657434735549, 0.5054906892517999, 0.5046458511545373, 0.5099101640110388, 0.49889292155534637, 0.5030595210180467, 0.5001525147986609, 0.511119760519047, 0.5089719515967291, 0.500639462825011, 0.49807528697203607, 0.49858847363072023, 0.49930670114906683, 0.4990553965171848, 0.5098722344202581, 0.5045840742876824, 0.5022931135956905, 0.49558933156077534, 0.4976245024233113, 0.49677728934434784, 0.49950024987200076, 0.5070272599122011, 0.5035073040888474, 0.5098354973778116, 0.49101478688076267, 0.4981869584208244, 0.5097440663384624, 0.5137397532740821, 0.5023011733092755, 0.512183369849882, 0.5004605668940627, 0.5011869451086273, 0.5003940894889016, 0.4976920731557064, 0.5040466395651619, 0.5050379207619081, 0.49742158035891043, 0.5019128186701073, 0.5006453358049093, 0.5113305387322545, 0.5064847316265112, 0.5059717880679963, 0.5095982722825992, 0.5049911113104408, 0.5042720236163134, 0.5168454861166206, 0.5009524908537325, 0.5105618447980598, 0.4959595253859283, 0.5108555991412637, 0.5040304540642552, 0.5049124481262287, 0.503633927446062, 0.5086928923927897, 0.5039130806653033, 0.5082068179868239, 0.507346245724595, 0.5075015735618544, 0.5020736202881564, 0.49959861397537664, 0.503788059479847, 0.5030779548466167, 0.5082324068954084, 0.5006422931120588, 0.5068212411733558, 0.5026991971362729, 0.5051194840738521, 0.5036355658400437, 0.5016139388002888, 0.5004785343832204, 0.4986083250276745, 0.5044168296645204, 0.504111450044817, 0.5037272499530153, 0.5102815574548898, 0.5080684264618399, 0.5053108940282083, 0.4981247759288488, 0.5110694622745962, 0.5012310733568573, 0.50859603394174, 0.4969318843385779, 0.5021033331630355, 0.500702631177282, 0.5102016206876138, 0.5129500064925142, 0.49816337231314334, 0.5154278152382517, 0.4955324890529153, 0.5069238071799538, 0.49720799593869847, 0.5023000935139632, 0.5100559010101647, 0.4970188677599301, 0.5007053791043098, 0.5035987364647605, 0.5070190714377905, 0.5113161373170853, 0.5106729523437331, 0.4949729913918701, 0.4961614535849284, 0.5061878054211713, 0.503477750387359, 0.5024174363375021, 0.4913569782477582, 0.5006343661087331, 0.5073150014159481, 0.5003627217131201, 0.5002014462420149, 0.5031191842186648, 0.5119977025311804, 0.503995385913274, 0.5063223426827445, 0.5054670377007405, 0.49425386560233486, 0.49872419373705196, 0.5104419039471039, 0.5021419215457655, 0.5036677996883768, 0.5020915497253797, 0.5027800188017941, 0.4938420489570981, 0.5127931932383633, 0.509055231678203, 0.510040437868036, 0.5063223336451318, 0.5053301770746296, 0.4996720391647271, 0.502047519346807, 0.49721656575247486, 0.508071902001245, 0.5101359532644164, 0.5055573617160815, 0.504536135625215, 0.504232172231857, 0.5101205303756424, 0.5009286732878099, 0.5013041960677262, 0.5031272159228539, 0.4995353343680412, 0.5015865005256746, 0.5053975950477617, 0.5049144088278351, 0.5065493285973024, 0.4967005451435341, 0.5020832425803579, 0.49869693324658704, 0.5057470461611948, 0.5030633665994539, 0.49931848037516513, 0.502359536282731, 0.5002702532986762, 0.49868740577349774, 0.5103691417976387, 0.5057919294618157, 0.4979171774718322, 0.5039045607640996, 0.5101452965995646, 0.5042590886048042, 0.5005231554041316, 0.4945918126739673, 0.4945054535133464, 0.5045581492828372, 0.5002745732403097, 0.5030497447708552, 0.49826525281667894, 0.5058827695464245, 0.5068123885265188, 0.506082946159042, 0.5006673183774787, 0.504973532581414, 0.5059945707243436, 0.5042248148828137, 0.4999385081548431, 0.4998392386050302, 0.49368574416936295, 0.5054754378783711, 0.5045427065017182, 0.4998972223474062, 0.5005358356069349, 0.5064099547286768, 0.5055184123330871, 0.5009645926276369, 0.5049157128982036, 0.501402437224698, 0.5110159990669814, 0.49580326812077635, 0.5115483460685615, 0.5058726402390352, 0.4983168939568642, 0.5103935842377967, 0.5067483788975239, 0.5107661841020966, 0.5050811142938282, 0.49096995387364994, 0.5097187810754412, 0.5024639611399101, 0.5011273689679316, 0.5024518218501128, 0.510569619415868, 0.5061863633232352, 0.5093114620170379, 0.5093025906361198, 0.501953818915852, 0.4988827330750114, 0.5123031231667577, 0.5017874906612638, 0.4990206732544397, 0.5031062905691221, 0.49969406945306233, 0.5093918130557957, 0.4951726996103583, 0.5067442516295942, 0.5014525656937497, 0.5116650442151761, 0.5029526483151986, 0.5096585157259028, 0.5083548195368631, 0.5037137670943713, 0.5032563748129718, 0.5033376190695559, 0.4984587478058838, 0.4961578083539297, 0.4964848307022281, 0.4963763406003907, 0.4944215984734566, 0.4907073865165089, 0.5039958204540476, 0.5054489583688326, 0.494191791284448, 0.5018719955445203, 0.5064705138067284, 0.5032409160441631, 0.4983375902478449, 0.5029281224848275, 0.5035362873720316, 0.5055953084233094, 0.5071010572305901, 0.49414989340292376, 0.5134540435131376, 0.5113679617521293, 0.5003418443578319, 0.5139517761850434, 0.5014637585652852, 0.5075058402329019, 0.5027421323831225, 0.5105853758791034, 0.5091823812823223, 0.5041689273041688, 0.49575155024981643, 0.5005202887968018, 0.48977847053750684, 0.49992262219256467, 0.5045289030693607, 0.4985268624422648, 0.5046829706333901, 0.5126352335926413, 0.5025433428678756, 0.4913127098689808, 0.5138778678104172, 0.5034226247778671, 0.4985672727011973, 0.5022015090336337, 0.4954222375526292, 0.5099441764377777, 0.5218103597052732, 0.49733878511622687, 0.5060420423638039, 0.4992323237562521, 0.5068585938115455, 0.49959137008219434, 0.5047685435634249, 0.5003532891655468, 0.4980919110013763, 0.5090183855111367, 0.5109069416845418, 0.5007393725825039, 0.5000827128034498, 0.5087141587516399, 0.49813549172156596, 0.5176480898072454, 0.5103642043079814, 0.5082864481011562, 0.49882534903055165, 0.4934566301095739, 0.49138777973751535, 0.4992267248213347, 0.4982932572913102, 0.49964401255995566, 0.5035097737605488, 0.5035912569940865, 0.5067511630685153, 0.5019876192245806, 0.5036027641494975, 0.5018727334888465, 0.5018567673349796, 0.5043316596604027, 0.5046505524803419, 0.509810465741595, 0.5083190625224132, 0.4995982132094141, 0.4996205265703674, 0.4934972339371576, 0.4951050253346998, 0.5120233694767393, 0.5043933570160501, 0.5026760994088701, 0.5079057209887671, 0.5024741708479048, 0.5161745682804039, 0.5089438333854306, 0.5009669445396806, 0.5003085439197282, 0.5049822975529492, 0.5027285653419518, 0.5096721279163882, 0.505213311240522, 0.515780233794949, 0.5044134992416696, 0.5082983970520655, 0.4927356262500634, 0.5026297380509965, 0.5057882330317598, 0.5003083881446652, 0.5133895893167048, 0.5041936420767592, 0.5063789502433858, 0.5015976551311484, 0.5011367980508816, 0.5060452105165006, 0.49881033305559186, 0.4962497584613788, 0.501996652993267, 0.5003648235572572, 0.5051554124981625, 0.5019960065891854, 0.4981584544945646, 0.49929468863732146, 0.5067073531644772, 0.5013412408269708, 0.5007152306604805, 0.5007634488062007, 0.5015240086555736, 0.5050082872586099, 0.48494945046913496, 0.5062590295113805, 0.4979052056172542, 0.5063177666077784, 0.4977061298171413, 0.5044454741045515, 0.5044929671412961, 0.5116875813199623, 0.5056974418871127, 0.5027664865007568, 0.4980909392042723, 0.49924659598096804, 0.5037021352816986, 0.5115421511119917, 0.5007806919986783, 0.4971511019498842, 0.5061922416679087, 0.507181313211001, 0.5078486300903639, 0.49453680903753017, 0.5081890398453056, 0.5043454230197941, 0.5079343082984182, 0.5099595212811106, 0.5077698691370236, 0.50124098301487, 0.506446915739026, 0.5108513455301628, 0.49913307780081057, 0.4980683295554849, 0.5047752029859077, 0.5037228248884743, 0.5013410220939021, 0.505547588913728, 0.5047108930064448, 0.49995817380275404, 0.504589052334523, 0.5101862485627904, 0.49810967656872707, 0.5051524715425332, 0.4994564111176381, 0.5092587888866891, 0.495390438648556, 0.5112442884657777, 0.501938533434353, 0.5020945281174939, 0.5070106922450874, 0.5124006114695584, 0.5070960640558466, 0.5059483484026446, 0.5050543634155644, 0.5072449929739847, 0.5025749625909268, 0.4909516842819362, 0.5056556857350925, 0.5025261374488432, 0.4974478674179258, 0.4988183769920834, 0.4987227391724962, 0.5037834779241047, 0.49914624015254694, 0.5016246949460105, 0.5002602082102253, 0.4950673648127824, 0.5048024973871118, 0.5040340592413152, 0.4961654717902588, 0.5141674603957584, 0.5063051722265716, 0.5029283153183414, 0.49809377668893556, 0.5012303327139467, 0.49860758758481816, 0.5043349076995685 ]
Is the two time series lagged version of each other despite minor noise?
[ "Yes, they are lagged versions", "No, they are not lagged versions at all" ]
No, they are not lagged versions at all
binary
[ 0, 0.20618404695120726, 0.40887125699133786, 0.6046263220467789, 0.7901359090838992, 0.9622669600912535, 1.1181218200200778, 1.255089222675553, 1.3708902374330425, 1.4636183683206494, 1.5317730999019017, 1.5742862996996407, 1.5905410125954325, 1.5803823165063304, 1.5441200483271795, 1.4825233521739491, 1.3968071458548583, 1.2886107436994527, 1.1599690118891177, 1.0132765638274357, 0.8512456255532264, 0.6768583125783487, 0.4933141578664703, 0.30397381422791914, 0.11229992171905577, -0.07820381948205399, -0.26405429867619423, -0.44185028195994536, -0.6083322588737688, -0.7604397953453569, -0.8953653837705475, -1.010603842708952, -1.1039963969784978, -1.1737686625345318, -1.2185618677678853, -1.237456761865374, -1.2299897895515206, -1.196161247607695, -1.136435279650076, -1.0517317092583225, -0.9434098551556999, -0.8132446132217919, -0.6633952261884098, -0.49636729053369244, -0.3149686690847253, -0.12226008507156982, 0.07849873304154215, 0.2839064083354868, 0.4904797646007635, 0.6947151148071412, 0.8931499104728673, 1.082423667177681, 1.259337094200534, 1.4209083878623314, 1.5644256980602922, 1.68749484481534, 1.7880814452327045, 1.864546709627871, 1.9156762769646307, 1.940701582229286, 1.9393133797698934, 1.9116671846496691, 1.8583805362708665, 1.780522132417199, 1.6795930249075466, 1.5575002077341045, 1.4165230624167537, 1.2592732509867417, 1.0886487623054757, 0.907782920299646, 0.7199892513417875, 0.5287031808661643, 0.3374215851012481, 0.14964126154041602, -0.03120259920192303, -0.201796857526087, -0.3590087214257456, -0.49994086974790397, -0.6219824322090742, -0.7228549291452385, -0.8006523626594892, -0.8538747537408035, -0.88145453524922, -0.88277533636782, -0.8576828279983726, -0.806487438269735, -0.7299588903780847, -0.6293126588688022, -0.506188582669435, -0.36262201118961357, -0.20100799118873525, -0.024059124563856393, 0.16524216142594406, 0.3636960916661641, 0.5679418450528095, 0.7745166900542381, 0.9799169134450593, 1.1806594701362558, 1.3733432693376835, 1.554709018687996, 1.7216965733604281, 1.8714987810542827, 2.0016108754387782, 2.1098745489435102, 2.1945159294096586, 2.2541767923811245, 2.2879384598375703, 2.295337964857517, 2.2763761977850647, 2.2315178905637816, 2.161683439513413, 2.068232710432328, 1.9529411109841275, 1.817968351388425, 1.6658204430892303, 1.499305604056, 1.321484846588764, 1.1356181170629291, 0.9451069353157602, 0.7534345429671141, 0.5641046137988859, 0.3805796046188923, 0.20621983136093525, 0.044224342411661954, -0.10242537046812716, -0.23101783318948832, -0.33915929926652344, -0.42481586914943836, -0.4863492778457602, -0.5225457211261215, -0.5326372131011486, -0.5163150993706656, -0.4737354879737018, -0.4055165025786107, -0.3127274062450104, -0.19686978713112158, -0.059851137194738335, 0.09604871121439684, 0.26821770030353353, 0.45375750748173815, 0.6495345429969721, 0.8522350872328541, 1.0584235974929956, 1.2646031583318569, 1.4672770117740583, 1.6630100847629417, 1.8484894312278195, 2.0205825252573373, 2.176392379677374, 2.3133085201906844, 2.429052918159218, 2.5217200738157377, 2.5898105446176936, 2.6322573287929485, 2.6484446398437784, 2.638218741661096, 2.601890653598865, 2.540230677911393, 2.4544548458463504, 2.3462035208822503, 2.217512535598588, 2.070777370041859, 1.9087110018895528, 1.7342961700624069, 1.550732891733979, 1.3613821562055168, 1.1697067863846071, 0.9792105084434635, 0.7933763017609956, 0.6156051139165002, 0.44915601907964753, 0.29708887274386, 0.16221047182585902, 0.04702516747495755, -0.04630920041201292, -0.11601927161295267, -0.1607473688637997, -0.1795753869634107, -0.1720409473575859, -0.1381455339531319, -0.07835446700767323, 0.006411284445358545, 0.11479130757149969, 0.24500968297406156, 0.3949062330075874, 0.5619745313340783, 0.7434060049222531, 0.9361393524899468, 1.136914409844065, 1.3423295143268008, 1.5489013590078362, 1.7531262834541306, 1.9515419226311224, 2.1407881291878756, 2.3176660971638983, 2.479194646802218, 2.6226626801055026, 2.745676884149702, 2.846203842788351, 2.922605815767998, 2.973669555700946, 2.99862765584417, 2.9971720530581223, 2.9694594483531613, 2.9161085496460135, 2.838189185241524, 2.7372034795941858, 2.615059422572675, 2.4740372972911775, 2.3167495572290484, 2.1460948586235746, 1.9652070569622762, 1.7774000650103257, 1.586109542627676, 1.3948324443766202, 1.207065488614231, 1.0262436307408773, 0.8556796232032376, 0.6985057257278113, 0.5576185914267375, 0.43562829853615637, 0.3348124246027906, 0.2570759712095505, 0.20391784438749716, 0.17640448051033752, 0.17515108173893545, 0.20031079118882444, 0.25157199828985566, 0.32816382175169, 0.4288696736592472, 0.5520486660301105, 0.6956644831733159, 0.8573212118239795, 1.0343054986020122, 1.2236342930105724, 1.4221073359088494, 1.6263634698947451, 1.8329397807840706, 2.0383325295582897, 2.2390588026485325, 2.43171779578388, 2.613050653079861, 2.7799978084641346, 2.9297528204844907, 3.0598117532449134, 3.1680172345840583, 3.2525964162674104, 3.3121921682618813, 3.345886958211868, 3.353218995943715, 3.3341903589268886, 3.2892669557197225, 3.2193703280429142, 3.125861435728, 3.0105167098538104, 2.875496795429688, 2.7233085336157, 2.55676085242441, 2.3789153420323084, 2.193032384356619, 2.0025137847781362, 1.8108429154377097, 1.6215234233190143, 1.43801758158406, 1.2636853689045116, 1.1017253487229506, 0.9551183887069881, 0.8265752106845978, 0.7184886939493118, 0.632891771185951, 0.5714216578619422, 0.5352910444885244, 0.5252667586403557, 0.5416562721875251, 0.5843022911528337, 0.652585523388931, 0.7454355753764406, 0.8613497864076745, 0.9984196687578202, 1.1543644886136337, 1.3265713968841346, 1.5121414037688103, 1.7079403881345612, 1.9106542441624905, 2.116847194927631, 2.323022246851237, 2.5256827212948783, 2.7213937806129715, 2.9068428660779126, 3.0788979842378845, 3.234662816125829, 3.3715276796415985, 3.487215448395118, 3.57982161904245, 3.6478478221070283, 3.690228186644158, 3.7063480948474883, 3.69605499659943, 3.6596610936773795, 3.597937846385594, 3.5121023992716687, 3.4037961647748514, 3.275055941639157, 3.128278076279136, 2.9661762976996338, 2.7917339678880246, 2.608151587860578, 2.4187904830238063, 2.2271136587391998, 2.036624866771078, 1.850806954778386, 1.6730605836260717, 1.50664439081998, 1.354617652923557, 1.219786455844006, 1.104654320152214, 1.0113781502121735, 0.9417302822199491, 0.8970672989387181, 0.8783061598522297, 0.8859080667403483, 0.9198703485710054, 0.9797265084985223, 1.0645544321413662, 1.17299261270998, 1.3032641074943438, 1.4532078041832213, 1.6203164468663565, 1.8017807526305027, 1.9945388424926913, 2.195330116905049, 2.400752627861384, 2.6073229381102783, 2.8115374142178715, 3.009933874994091, 3.1991525105428664, 3.3759950000313266, 3.5374807879666794, 3.6808995287681254, 3.8038587768412486, 3.9043260830212203, 3.980664756673571, 4.0316626641983335, 4.056553557211201, 4.055030555120368, 4.027251544865359, 3.9738364028063833, 3.895856087646657, 3.7948137963039352, 3.672618514304426, 3.531551426095018, 3.3742257763033496, 3.2035408882100307, 3.0226311485037907, 2.8348108559622185, 2.643515904476731, 2.452243326542176, 2.264489760978104, 2.083689927576706, 1.9131561912515496, 1.7560202790898778, 1.6151781758306176, 1.4932391673630603, 1.3924799288553014, 1.314804465357674, 1.2617106097492743, 1.2342636675152032, 1.233077672089667, 1.258304580587937, 1.3096316000343278, 1.3862866911327856, 1.4870521527381337, 1.6102860480013506, 1.7539510951838286, 1.915650514790081, 2.0926702022683257, 2.282026484226261, 2.4805186178639693, 2.6847851098669304, 2.8913628637957083, 3.0967481152407186, 3.2974580825528284, 3.4900922483705923, 3.6713921936603233, 3.838298931455201, 3.9880067314735137, 4.1180124885413, 4.226159766153845, 4.3106767402043396, 4.370207375238448, 4.403835284670569, 4.411099855127862, 4.392004351204925, 4.34701585802139, 4.277057062593183, 4.183490018628817, 4.06809218041853, 3.9330251275134858, 3.7807965305021685, 3.6142160271179256, 3.4363457850624015, 3.250446621420556, 3.05992062672639, 2.8682513032420065, 2.6789422707508717, 2.495455618371901, 2.321150987129079, 2.159226455153918, 2.012662265678836, 1.8841683879597428, 1.7761368338232781, 1.6905995688560032, 1.6291927588124566, 1.5931279803465817, 1.5831709026303442, 1.5996278149684606, 1.6423402374636158, 1.7106877095605197, 1.8035987074028463, 1.9195694979058822, 2.056690597796782, 2.212680372060472, 2.3849251806075884, 2.570525366760627, 2.766346278365106, 2.969073423779822, 3.175270792245539, 3.381441312451523, 3.5840883854974743, 3.779777409543078, 3.9651962135838623, 4.137213336986957, 4.292933129324665, 4.4297467009933955, 4.545377828112333, 4.637923003979384, 4.705884932355869, 4.7481988732468565, 4.764251377607886, 4.753891081330369, 4.717431368579309, 4.655644857620402, 4.569749806161489, 4.461388675414247, 4.332599230053458, 4.185778682586797, 4.023641513035056, 3.8491717061099617, 3.6655702463032105, 3.47619879474093, 3.2845205388411407, 3.094039255558215, 2.9082376604315363, 2.730516127221499, 2.564132856396185, 2.412146545238035, 2.277362568322788, 2.162283615355617, 2.0690656549201853, 1.9994799989831653, 1.9548821356511805, 1.9361878785853832, 1.943857252738378, 1.9778863999531375, 2.0378076468494646, 2.122697733803522, 2.231194060226896, 2.3615186603001135, 2.511509487294135, 2.6786584560141184, 2.8601555739872806, 3.052938384881089, 3.2537458541670445, 3.45917574888096, 3.6657445018499546, 3.8699485070414377, 4.068325767507018, 4.257516811191098, 4.434323802755317, 4.595766811313127, 4.739136244011207, 4.862040522859358, 4.962448165907538, 5.038723532328079, 5.08965560244783, 5.1144792863291215, 5.112888885963111, 5.085043474200366, 5.031564095773451, 4.953522839661067, 4.85242397507175, 4.730177482970201, 4.589065448874231, 4.431701908259976, 4.260986851118628, 4.080055194980523, 3.8922216242553427, 3.7009222664716663, 3.509654231655774, 3.321914078688338, 3.1411362913593566, 2.9706328466691425, 2.8135349387064044, 2.6727378835045115, 2.550850174306527, 2.4501475836406983, 2.3725331198062722, 2.319503542358555, 2.2921230257717755, 2.2910044346830434, 2.316298540189922, 2.3676913669470787, 2.4444097177413564, 2.5452347783371647, 2.6685235632073123, 2.8122378247992774, 2.9739799176620085, 3.1510349863835048, 3.340418735018241, 3.5389299374745806, 3.743206764911197, 3.9497859390308627, 4.1551636704348835, 4.355857309793564, 4.548466627045109, 4.729733640380451, 4.896599942289334, 5.046260513982451, 5.176213081295157, 5.2843021436267525, 5.3687569012014755, 5.428222413299318, 5.461783439209847, 5.468980542413877, 5.44981817463076, 5.404764597487846, 5.334743643190391, 5.241118459167625, 5.125667522717265, 4.990553347684192, 4.838284433797638, 4.671671128189294, 4.493776175734661, 4.307860828312221, 4.117327461218799, 3.925659706438127, 3.7363611561513626, 3.5528937150370963, 3.3786166860861857, 3.21672766175207, 3.07020626048999, 2.941761698672888, 2.833785120385983, 2.7483075238845043, 2.686964025022287, 2.6509650864570076, 2.64107521887006, 2.6575995289656515, 2.7003783509445283, 2.7687900559146703, 2.861761989805732, 2.977789347328546, 3.1149616498812884, 3.270996361508919, 3.4432790514235236, 3.62890939640338, 3.824752213632273, 4.0274926260270485, 4.2336943893883765, 4.439860355074853, 4.642494004325553, 4.838160971499467, 5.023549473695391, 5.195528583458587, 5.351203319233104, 5.487965584211178, 5.603540057282483, 5.696024228605143, 5.763921875350205, 5.806169388594657, 5.822154488126312, 5.811726995862963, 5.775201478321261, 5.713351711639672, 5.6273970665465285, 5.5189810528374315, 5.3901424008841605, 5.243279189012372, 5.081106647947436, 4.906609384782964, 4.7229888671188425, 4.533607091415046, 4.341927426748726, 4.151453674862345, 3.965668418776024, 3.7879717447555046, 3.6216214158571876, 3.469675549731612, 3.3349388093010814, 3.219913053117932, 3.126753313738122, 3.05722987869565, 3.0126971412850803, 2.994069769239866, 3.0018066106325767, 3.035902620181669, 3.09588894802608, 3.1808411894056374, 3.289395650089359, 3.4197733413524, 3.569811282295945, 3.7370005587284068, 3.918530468939803, 4.11133797959951, 4.312161621572614, 4.5175988773271865, 4.724166050168755, 4.928359561867887, 5.126717600115219, 5.315881031081013, 5.49265250528839, 5.654052716798984, 5.797372825797866, 5.920222122173415, 6.020570091423531, 6.096782142715022, 6.1476483704404865, 6.172404843196701, 6.170747045592853, 6.142835236372298, 6.089291628568699, 6.011189441313231, 5.910034015932599, 5.7877363286108645, 5.6465793656748575, 5.489177953149309, 5.3184327474031985, 5.13747919644879, 4.949632369947511, 4.7583286286708955, 4.567065159775215, 4.379338441801239, 4.19858272214258, 4.02810958950632, 3.8710497046233123, 3.7302977144891765, 3.6084613194014503, 3.5078153889873427, 3.4302619345767367, 3.3772966422293385, 3.3499825552864415, 3.348931369517712, 3.374292669985719, 3.4257512990115124, 3.5025329015535176, 3.6034175504256165, 3.7267612116109636, 3.8705246719770194, 4.032309420392244, 4.20939985089589, 4.398811045331784, 4.597341294683726, 4.8016284349694125, 5.008209006431202, 5.213579195083368, 5.414256484315191, 5.606840931754672, 5.788074993191314, 5.954900840922231, 6.104514167972441, 6.234413531473694, 6.342444366976686, 6.426836899239869, 6.48623728243302, 6.519731421825893, 6.526861057805688, 6.507631829216002, 6.4625131741381585, 6.3924300698607635, 6.298746757377333, 6.183242736788954, 6.0480814559862015, 5.895772243551111, 5.729126155691293, 5.551206514104671, 5.365275005089073, 5.1747342883137, 4.983068125084187, 4.793780079577442, 4.610331871634426, 4.436082465827392, 4.274228968564868, 4.1277503731830105, 3.999355142860929, 3.8914335536680564, 3.806015636295191, 3.744735456507934, 3.708802362828734, 3.698979707360726, 3.7155714141725893, 3.758416631581447, 3.826892562429885, 3.9199254225566236, 4.036009334640663, 4.173232824970484, 4.3293124569129535, 4.501633009281596, 4.687293492643259, 4.883158193879728, 5.085911850846271, 5.292117986297751, 5.4982793746633885, 5.7008995777228275, 5.89654446642841, 6.081902646362165, 6.253843723606899, 6.409473385810385, 6.546184329260077, 6.661702135877183, 6.754125292898364, 6.821958651076042, 6.864139732681178, 6.8800574264041305, 6.869562740206285, 6.832971422919853, 6.771058408467299, 6.685044180457491, 6.576573297081419, 6.447685454173897, 6.300779595603462, 6.138571702488392, 5.964047003961808, 5.780407450364426, 5.5910153731042715, 5.399334322520244, 5.208868124740864, 5.023099229867431, 4.8454274362807475, 4.679110069251928, 4.527204666448559, 4.392515178817776, 4.277542633471941, 4.184441126692061, 4.114979921376359, 4.0705123158518886, 4.051951831819474, 4.059756140419002, 4.093919009244985, 4.153970412009305, 4.238984798921473, 4.347597382264506, 4.478028150612212, 4.628113189144282, 4.795342754960191, 4.976905437435318, 5.169737626592365, 5.370577419064266, 5.576022013141798, 5.782587583008521, 5.986770578640319, 6.18510937276396, 6.3742451701610285, 6.550981107583085, 6.712338504381686, 6.85560927409116, 6.978403574752816, 7.078691859545454, 7.154840587817919, 7.2056409681673825, 7.230330227812727, 7.228605034016106, 7.200626831395292, 7.147019001213648, 7.068855892631662, 6.967643918921478, 6.845295051267252, 6.704093176542924, 6.546653911021679, 6.3758785771175654, 6.194903152964936, 6.007043093096622, 5.815734991132725, 5.624476110958358, 5.436762850373121, 5.256029219980167, 5.085586419813368, 4.928564576886531, 4.787857668825387, 4.666072602682682, 4.565483344923605, 4.487990909690414, 4.435089909375617, 4.407842256065555, 4.406858476592301, 4.432286969966244, 4.483811396210968, 4.5606562425453845, 4.6616004689727815, 4.784998993175307, 4.92881163667436, 5.090639022933209, 5.267764795753907, 5.457203415112098, 5.655752689434452, 5.8600501199834705, 6.066632065938467, 6.271994689128707, 6.4726556060621405, 6.665215162446628, 6.846416252043981, 7.013201627309576, 7.162767693404616, 7.292613839044178, 7.400586436177587, 7.4849167343005805, 7.544251982628085, 7.577679232514923, 7.584741401307257, 7.565445314972275, 7.520261587991431, 7.450116342630508, 7.356374913290819, 7.240817822672601, 7.10560945246387, 6.953259959811579, 6.786581109676698, 6.608636800228051, 6.422689151808545, 6.232141108069432, 6.040476559238321, 5.851199041085987, 5.667770088218551, 5.493548326404241, 5.331730375639786, 5.185294603800461, 5.056948720560747, 4.949082133700053, 4.863723906111811, 4.802507053285856, 4.766639809470683, 4.756884368103547, 4.773543470582742, 4.816455079360232, 4.884995229084645, 4.978089005627, 5.094229459807263, 5.2315041230235195, 5.38762865822655, 5.55998705413143, 5.745677655426426, 5.9415642190510916, 6.14433109817962, 6.350541582915343, 6.556698371159327, 6.759305105632995, 6.95492789427613, 7.140255731533948, 7.312158757385892, 7.467743329015767, 7.604402936105254, 7.7198640638681, 7.8122261968376865, 7.879995259519404, 7.922109905500075, 7.937960192442721, 7.927398314369427, 7.890741202391728, 7.828764948127165, 7.742691147925132, 7.634165408183244, 7.505228389965357, 7.358279902407594, 7.196036676709567, 7.021484563701268, 6.837825996096891, 6.648423639866725, 6.456741226214007, 6.266282605251222, 6.08053009376127, 5.902883201850007, 5.736598816629322, 5.58473389543316, 5.450091676911695, 5.33517235645041, 5.242129093808074, 5.172730127044202, 5.128327659363052, 5.109834066327986, 5.117705842093687, 5.151935567131442, 5.212052038780001, 5.297128562324817, 5.405799256719423, 5.536283088040582, 5.6864152077947265, 5.8536850446604545, 6.035280479421034, 6.228137325804065, 6.428993246584541, 6.634445156266468, 6.841009100311172, 7.045181557301785, 7.243501085398531, 7.432609228379651, 7.609309609591929, 7.770624174018655, 7.913845588854236, 8.036584880567007, 8.136813470249592, 8.212898867620304, 8.26363339561961, 8.288255440176004, 8.286462851239424, 8.258418259283511, 8.204746213729809, 8.126522193644858, 8.025253684073403, 7.902853650980253, 7.76160688152443, 7.604129781927477, 7.433324340315563, 7.252327064585326, 7.064453793760495, 6.8731413539155595, 6.681887085263035, 6.494187304460235, 6.313475784925837, 6.143063337640596, 5.9860795555419735, 5.845417746553849, 5.723684024185056, 5.623151451477831, 5.545720045168651, 5.4928833438113465, 5.46570212811547, 5.464785755905419, 5.490281440122397, 5.541871658528823, 5.618779740693029, 5.719783533947908, 5.843236907863289, 5.9870987188486495, 6.148968725237324, 6.326129820905907, 6.5155958443043875, 6.7141641216697545, 6.918471819895208, 7.125055117494341, 7.330410152513511, 7.531054674978842, 7.723589319068258, 7.904757416889537, 8.071502301407168, 8.221021090240116, 8.350814003973861, 8.458728351203387, 8.542996406364686, 8.602266513873074, 8.63562687127317, 8.642621572922556, 8.623258631911238, 8.578009839066763, 8.507802461525877, 8.414002926940979, 8.298392780407204, 8.163137337161622, 8.0107475826281, 7.844035990198316, 7.666067034160415, 7.480103268528126, 7.289547920544198, 7.097885008958632, 6.908618040733935, 6.725208364844217, 6.551014267868285, 6.389231883024281, 6.242838952384896, 6.1145424318092205, 6.0067308605125636, 5.92143233335808, 5.860278815372517, 5.824477426391744, 5.814789201099705, 5.831515698189559, 5.874493694266711, 5.9430980558574, 6.036252738988338, 6.152449722793332, 6.289775543999496, 6.445944965403636, 6.618341185922623, 6.8040618846990455, 6.9999702890901006, 7.202750367969277, 7.408965179182795, 7.615117344504813, 7.817710587999727, 8.013311254988855, 8.198608729160453, 8.370473684749747, 8.526013148808504, 8.662621404711873, 8.778025841226889, 8.87032694040178, 8.93803170066633, 8.980079907045011, 8.995862786243487, 8.985233718361503, 8.948510816753547, 8.886471330643195, 8.800337968980191, 8.691757386179969, 8.562771208301232, 8.415780109472383, 8.25350157066256, 8.078922064056124, 7.895244504373218, 7.705831891760551, 7.514148137888332, 7.323697116450852, 7.137961010513134, 6.960339041515915, 6.794087658038315, 6.6422632367296925 ]
[ 0.9801859764219095, 1.036676416442154, 1.0442870328039833, 1.0884461212104748, 1.050803309510183, 1.0865708985504936, 1.0771834646521619, 1.1142542408701128, 1.0986940987590592, 1.0826729053050579, 1.1231111884082061, 1.1172382069611206, 1.0884779306654802, 1.1095991578510516, 1.1180719373571275, 1.1188675394076082, 1.121792188336644, 1.1416069870446228, 1.1433614775096255, 1.0811757844293046, 1.0827081965644498, 1.0780846816247707, 1.0776738254895541, 1.0643938752660804, 1.0454326376886722, 1.0165013012889152, 1.013290400632025, 0.9706468516341014, 0.9152416254228621, 0.9329232851188747, 0.9699284358096667, 0.9389033469420733, 0.9789091157143615, 0.9494832823875516, 0.9947875600772633, 0.9759245442607838, 1.0262660150297713, 1.0343655282785138, 1.0529564089384071, 1.0735331824241658, 1.0470936268663873, 1.052655420980187, 1.0567844705788734, 1.0965181497419652, 1.1153580167484298, 1.1381452969410628, 1.1376782573161426, 1.1020896868128087, 1.053071384867844, 1.073203203156678, 1.0245275914641425, 1.0006750175073253, 1.01444245607073, 1.0436189152899475, 1.0516513192243888, 1.0474619895221287, 1.0804072748451512, 1.1056522595183738, 1.1036101266312666, 1.0948992726234819, 1.120855676993354, 1.145262761047382, 1.144641369492257, 1.1013832352967068, 1.1027250866120826, 1.1112494983587844, 1.0526367189084993, 1.0883734363613338, 1.0969117207803263, 1.124097769329535, 1.090780388371745, 1.0634413456525629, 1.0865730790136985, 1.0918288275027097, 1.101043341897281, 1.1320905523887423, 1.1494019415749412, 1.1735237114430734, 1.1591760081401106, 1.1240793560086424, 1.0803711218339498, 1.0471282577582313, 1.0665188884141747, 1.1111646564543314, 1.0557387146605826, 0.9925851404113685, 0.9585469124311292, 0.9702555591101363, 0.9875136443335852, 1.0116810069595092, 1.0416731008878646, 1.001387826328994, 1.0654121384566881, 1.0350189326188268, 0.9944161937073053, 1.0584931904998822, 0.9729010984375257, 0.9983676640437167, 0.9119469207068192, 0.9620197083104093, 0.9499401730498684, 0.9891569010164831, 0.980182080968189, 1.0358774959605137, 1.0361553705510314, 1.0474551363840023, 1.049843884633292, 1.0131298138312974, 1.0184546087998334, 0.9855637308987966, 0.9686509098396701, 0.9608801355889451, 0.9778630576647471, 0.9422744276826496, 0.9057242139625707, 0.9164935575272815, 0.9683395965814322, 0.9404505564548225, 0.9241347692861664, 0.9695396391347654, 0.9467855490630773, 0.9615801848996914, 0.9614533569472223, 0.9630688682201658, 0.9077281846888465, 0.9244031279420754, 0.9953900170653946, 1.0016832839234167, 1.007628238756682, 0.9943661212629042, 0.9636738393802524, 0.9638363850420595, 0.9502494357031036, 0.938168515253611, 0.9153022613942197, 0.8960117818123061, 0.8659143510441809, 0.9103777932939776, 0.9050787642082556, 0.8682661087171659, 0.8695770150314949, 0.8718623768001792, 0.8317364361248558, 0.871519735415385, 0.8377128981434095, 0.7855416374766573, 0.7262447128159935, 0.6904941992669587, 0.705822969515397, 0.6745097048755697, 0.6840015931979438, 0.7309503678574111, 0.6921903496153218, 0.6878880963918599, 0.7237678393063598, 0.7316526426477951, 0.7053194123412507, 0.6834840192819307, 0.6509685214563895, 0.6877738220142124, 0.6760275870757742, 0.7417439324017981, 0.7901298729285726, 0.8123194328096685, 0.8300316850237169, 0.8456553735805726, 0.8518313322549921, 0.8664109792521304, 0.8979894891841436, 0.8370682708766166, 0.8303966774441218, 0.8395974307798051, 0.8236976239135436, 0.8364162820016111, 0.8466549493672533, 0.8448447025706363, 0.7823024910096146, 0.8283989165347162, 0.8399285589272169, 0.8133364522447518, 0.8479958143648505, 0.8543387397331567, 0.8795882256210276, 0.8348709173311807, 0.85348151382323, 0.813730860895941, 0.8178074874882784, 0.8029010031396013, 0.8238467560135224, 0.8267194394962668, 0.8047511396148855, 0.7877079521402731, 0.7945795876599541, 0.8125009577978392, 0.8119367967540375, 0.8334004783277856, 0.8234952305889224, 0.8359666968698457, 0.8455196065176813, 0.8454752837447288, 0.8268480284354236, 0.8467756251109823, 0.8170039913600211, 0.8016198664395631, 0.8356167372074655, 0.8496826356060212, 0.878472957945673, 0.8633599910157975, 0.9048719462816796, 0.8940842212756388, 0.9156735876200335, 0.9144519424136143, 0.9603678671348934, 0.9765627952338232, 0.9310690694846007, 0.9219565614327841, 0.9150680091980266, 0.8752371236689814, 0.8287238093893632, 0.8423787573884405, 0.8387081708830192, 0.9217862971952057, 0.9362925985830427, 0.9012870520227193, 0.876287666116001, 0.8869296434192518, 0.877434918313837, 0.902393203259974, 0.8990070073894556, 0.89726935540752, 0.9151473169719914, 0.9479670810678597, 0.9876843229930896, 1.0402073988949483, 1.043947851036021, 1.039709095115662, 1.0421133989734177, 1.0829636839218986, 1.0851134957018227, 1.0591774825864868, 1.0333139813710936, 1.0538812160929236, 1.0593591071058637, 1.099252559089737, 1.0976806630829257, 1.1035165318436344, 1.0677812275201881, 1.1110393034126067, 1.1210366884401326, 1.1250964734821913, 1.1515559277273795, 1.1608990489588011, 1.1042371768320658, 1.0754104254886374, 1.0917350586631491, 1.065033825628812, 1.0593748179284268, 1.0642336339368068, 1.0919621796354253, 1.1269447499969865, 1.0923441017640974, 1.0940870949433674, 1.0738939717792217, 1.0691516198994162, 1.0870811472815323, 1.0785019279192152, 1.1199649277755435, 1.1300532311102862, 1.0710125828492052, 1.0276329200295062, 1.0351350881893837, 1.0257154110345637, 1.0253021500567887, 1.019850946326434, 1.0061385903627627, 0.9576017019119991, 0.9910513761753807, 1.0023768795048746, 0.961055764610051, 0.9822524229544839, 0.9729462039888385, 0.9431426980758663, 0.9633647564554126, 0.9887427726547772, 0.9636108956506722, 0.9777410090340904, 1.0134133569261992, 1.0479189180987714, 1.0397759069713965, 1.0637722967053524, 1.061229975828907, 1.080307508720697, 1.0511475365200238, 1.0780524459694107, 1.0550099611185786, 1.0375969788924637, 1.022893107294919, 1.0153574220479618, 1.0928499579405029, 1.0726103910521188, 1.0641294119770006, 1.0562535505002213, 1.0841969289107944, 1.0871139122442526, 1.1440424166388155, 1.1606977513937227, 1.1687431071303513, 1.1751412322179893, 1.2471445209229461, 1.2701208616432562, 1.2792016279533476, 1.254183719190123, 1.272446927846763, 1.2608888949112373, 1.2791815764249888, 1.21854505852157, 1.1951594125823124, 1.2366954614682828, 1.2117698843692362, 1.1756063788713096, 1.1994997627701993, 1.1779208703182675, 1.1790272870016085, 1.1579096487479292, 1.1770022858606253, 1.1420523249765244, 1.0995112164412035, 1.122309022999894, 1.1853155957634613, 1.1729711524142106, 1.1533154575839535, 1.170339300107842, 1.1786759559316577, 1.1575759688507672, 1.1817888640643401, 1.1691920679282104, 1.1566194628596795, 1.1356903197793629, 1.1423588900084736, 1.1504743057888496, 1.1129705711924756, 1.1005704067047375, 1.116560219535721, 1.1186321324275132, 1.1814978579228401, 1.2228509074648433, 1.2149102972723065, 1.2698815380068045, 1.325833748511017, 1.3389734394284858, 1.286937915353402, 1.2941925455832364, 1.2997224151188718, 1.298454495072631, 1.3276768479133856, 1.3415941441245347, 1.342381800673949, 1.3474538888290932, 1.3178731175744878, 1.3124022052630178, 1.2905871041689956, 1.2964102376990132, 1.2459000002811291, 1.2542804518150952, 1.269345309362413, 1.276471509300557, 1.3013103796630394, 1.2559868822878855, 1.243230051522073, 1.2381002775319818, 1.1914724141003203, 1.2072949094138783, 1.2508608178883536, 1.2601990126708917, 1.239235373625157, 1.209893620502041, 1.2522929470766364, 1.214421673371809, 1.213328283073169, 1.213369504954444, 1.2099615235836414, 1.207595980096825, 1.192374723509429, 1.170779635795724, 1.1689126892837358, 1.199768356353256, 1.1895926755956578, 1.1997528394076789, 1.183817859986478, 1.258412230186408, 1.2540195900470743, 1.2313959743565464, 1.2497754644900503, 1.2465823030997478, 1.2218651353298267, 1.254179564150711, 1.2644664529306637, 1.2781805241827913, 1.2646147384994517, 1.337467349124772, 1.3389013463704558, 1.3371849414020516, 1.3123385054664984, 1.3568889203236019, 1.346393312160005, 1.335672060688501, 1.3567726279341514, 1.3272142339831081, 1.3951671873116644, 1.4096136943279498, 1.3613915288198228, 1.3819648406793827, 1.4146691726056015, 1.4751673469900428, 1.4404237758713234, 1.4625991013556847, 1.5145765765547916, 1.5108901507625143, 1.506722361105127, 1.4753233982324923, 1.4521548550875576, 1.4857764595379312, 1.470081111540253, 1.4753895630578715, 1.4554421945234106, 1.4723116437306294, 1.5006928379748807, 1.5022073190131893, 1.4933320185792327, 1.5454585360984117, 1.5042487289621744, 1.463703563825379, 1.4830003221967714, 1.4999378066018212, 1.5156144984661484, 1.535245300433881, 1.5513909392660998, 1.5735853117915153, 1.552990778060541, 1.5492671992320024, 1.528066436994985, 1.5335450440809448, 1.560868416981985, 1.5706233020926383, 1.6196432804673901, 1.6254252575346113, 1.6233042581907067, 1.6349456075049424, 1.65558285579999, 1.694472777206852, 1.6616060593848192, 1.6856831046024767, 1.6931695000790357, 1.6894104834143817, 1.7219717722313275, 1.7867775967124082, 1.8123206407333117, 1.8213215873732838, 1.81592025012548, 1.7995944163324085, 1.7740112092104652, 1.804851356995309, 1.8010762502771498, 1.8404376557851667, 1.8903599558863773, 1.9084029106735012, 1.9264024609968882, 1.8880155102940286, 1.8876248241304059, 1.9577751347656556, 1.9490689761355289, 1.9332763488959972, 1.9612901857385387, 1.9620493508757235, 2.021883522838548, 2.0041472895531003, 2.050595188019652, 2.056641544499106, 2.0395625555070653, 2.042910688425276, 2.011881238649842, 2.012789645407907, 2.0270871789569265, 1.974032353895445, 2.0424733431449194, 2.0527166546635947, 2.0316542449353063, 2.044190190303112, 2.032646195374229, 2.0245604397568755, 1.966422102664799, 1.94380999764163, 1.9218317410460763, 1.9525310824255828, 1.9200187849179362, 1.839349357437171, 1.848944368862765, 1.852938448731252, 1.8672904762869458, 1.93768406553655, 2.038378274676222, 2.02735646973387, 2.00038741514322, 2.0025480172536687, 1.9926589384942157, 1.9830111638032162, 1.9303489875357482, 1.8690332022178615, 1.9274286148133393, 1.9441190513569517, 2.004140356704821, 1.9852391425309923, 2.0446473758901496, 2.063375047100089, 2.0634507321965847, 2.1048723969426515, 2.150405969969403, 2.1484255694177996, 2.2051894803774075, 2.2257725916624844, 2.1784502764292855, 2.144162312275248, 2.196535698091793, 2.2402144258215113, 2.260706194692672, 2.2091447075547967, 2.1802247834477146, 2.2042222160884712, 2.2459595969890653, 2.3288317778673595, 2.3307440257317533, 2.3514793621308323, 2.3354553704334164, 2.3510747267782657, 2.3457379282150574, 2.3586089646278405, 2.308753357512144, 2.370707439974563, 2.3993557359085655, 2.460536936234531, 2.42680808294414, 2.4124866994094907, 2.394295155378697, 2.413120515638315, 2.446028374688588, 2.4487129074208545, 2.4684317349785596, 2.46757515718347, 2.501621267579095, 2.541353100975867, 2.5675957285616695, 2.565728702432592, 2.581036543535774, 2.5955533532568316, 2.627070902934878, 2.6101280487261866, 2.557616951154639, 2.581659491182488, 2.5717150763231476, 2.5906376932342416, 2.609729602753343, 2.590401177737778, 2.599221580506639, 2.626796160605366, 2.6243955052685184, 2.62143583043048, 2.649228753000257, 2.6423606281870775, 2.665932645927, 2.6369282419405136, 2.672214574527085, 2.6513673318196833, 2.619538671295714, 2.667792514630025, 2.678901276731502, 2.6847000934138316, 2.69695477160104, 2.7590370532977095, 2.731372558405586, 2.753715575105135, 2.7460485879093692, 2.7647212421570533, 2.734096437549365, 2.7244376500358074, 2.7150168136327943, 2.7156402193714535, 2.7317927801440307, 2.6810159990389497, 2.697027204780151, 2.6951178589268707, 2.6925979935994846, 2.6967896864578185, 2.675993257825729, 2.6776607554250753, 2.7333302946748095, 2.7386976739798166, 2.730535313825508, 2.7464421505645955, 2.7833031066603984, 2.7774886039013413, 2.7934616099570166, 2.824760651614063, 2.839098573940083, 2.873680965766474, 2.828969564068864, 2.828522621568568, 2.8275917479586177, 2.7693529401613066, 2.7303927132908585, 2.742972509173705, 2.7572019556511247, 2.797768179806412, 2.8166321544337034, 2.848045667451113, 2.8409242975862505, 2.845283850061287, 2.7978446137883752, 2.803108301029779, 2.8074835176502635, 2.772974952890931, 2.797751285420963, 2.792013339406593, 2.8221550991134636, 2.846716289216638, 2.8961315143106385, 2.892172234921788, 2.876094693944861, 2.882729337677394, 2.9091784471986353, 2.921506840766596, 2.8831937386129347, 2.911636555354939, 2.8990550185498467, 2.8355082474543885, 2.8131607989579983, 2.7707959535766684, 2.79466358753631, 2.8894434879115662, 2.945325231803479, 2.927886490128449, 2.9382761668187714, 2.9287309996004938, 2.9069490673286786, 2.930026979803172, 2.9808304010311693, 2.9499346281807086, 2.959213082794292, 2.9873364103695628, 2.97724114354515, 3.046940229574698, 3.039697448927431, 2.969028297326439, 2.9929549829117437, 2.9255028323085637, 2.879214694040127, 2.9042744485440384, 2.919289626816588, 2.9189807961180185, 2.901470453929085, 2.8770799996751624, 2.90582553328369, 2.905005987115147, 2.877163728289193, 2.92480057111905, 2.9306775146105473, 2.9032865555246783, 2.919250546205604, 2.954127541392521, 2.9469481333811585, 2.9430961292629303, 2.952720823587569, 2.9349852749276018, 2.9186773940276476, 2.905309768116929, 2.8792570810276437, 2.8792969134537145, 2.8148980995699846, 2.789718372126071, 2.770621155630197, 2.8235177242968272, 2.9076802072113175, 2.8909471880362627, 2.8700986670114705, 2.832338643720335, 2.873747597689986, 2.8793050562423788, 2.9242161234431157, 2.889443069345142, 2.8654204492656126, 2.902674223817878, 2.953840568482696, 2.961285498551975, 3.006370872997683, 3.0530163125032184, 3.0439154305154617, 3.076960670959014, 3.0975744295464365, 3.1312369981448227, 3.13808110446122, 3.1520887003135, 3.180114201032347, 3.178719991761387, 3.1947268529885564, 3.193131070361562, 3.265770228987405, 3.3240080165167747, 3.3036066950600387, 3.363412209135976, 3.330624867037838, 3.301272778600124, 3.356629702743631, 3.3714127178021105, 3.3089632032677123, 3.3212909027597055, 3.34520405621132, 3.3758549278730445, 3.4097466874320475, 3.4404083164082477, 3.4779420612302085, 3.4560712046243225, 3.453489626176785, 3.477410593885289, 3.4438924869630796, 3.489866092963596, 3.5023971211366107, 3.4984304953597904, 3.511231210003913, 3.543874481475827, 3.5407617067438304, 3.5469483492142793, 3.616085753000372, 3.6720748106298493, 3.7077566206520975, 3.775917666381231, 3.7734901809434636, 3.7843274993555065, 3.7533943724611287, 3.7966341511286883, 3.7945817861619284, 3.7450278911678927, 3.745680182173971, 3.8228275528550473, 3.840395244919267, 3.857566614744485, 3.907154472964348, 3.943956109755165, 3.963206947892063, 4.0024251291917174, 4.028510152116654, 4.011634808180646, 4.046385827376771, 4.067611309806411, 4.0418210440841325, 4.049213060026172, 4.005507118641953, 4.042518052493003, 4.02140821413464, 4.019576122532901, 4.020403337058662, 4.019126818757354, 4.041220252027243, 4.046010952819992, 4.105661050877457, 4.088128823756165, 4.098052003246795, 4.108243212617181, 4.112846609849207, 4.100049228194065, 4.089294377610231, 4.094275853978406, 4.049643665348827, 4.021582136054374, 4.092846227580019, 4.1247423565545, 4.161540123880541, 4.148092876037081, 4.179249738982418, 4.199901118407067, 4.30576991950475, 4.269056458890278, 4.271996521003674, 4.2939743452303, 4.3081044989633455, 4.346426060019201, 4.307797576627943, 4.342774832493801, 4.350109137114104, 4.311493718457768, 4.301333874809768, 4.374282327740016, 4.372895473404123, 4.385140459431035, 4.3730731541069385, 4.418677768091896, 4.4273581378989, 4.417448187162087, 4.476648515966468, 4.487074818753144, 4.4763688963206745, 4.497741748775672, 4.462544939746139, 4.474428407988922, 4.513837210503183, 4.513982865665365, 4.570101071524675, 4.571057325939581, 4.593602363657851, 4.609840445892291, 4.568076446260329, 4.550222834211418, 4.5804147677425195, 4.56144815460528, 4.533230744737539, 4.559578414474408, 4.577654794155964, 4.638433853744457, 4.622982973692052, 4.694252241219429, 4.716533584248932, 4.683278142319704, 4.691633344162388, 4.631304847087183, 4.629799301083438, 4.577580146607064, 4.604593244244568, 4.58912649915011, 4.533312060667249, 4.492482293446497, 4.498751534226352, 4.543479857398412, 4.518264192419954, 4.521458533571748, 4.5245208939491635, 4.5169017701987855, 4.47538076022234, 4.45095133754858, 4.47207686143793, 4.53698038897178, 4.522571139280095, 4.536460733834455, 4.5472802282472475, 4.558744461307697, 4.541064871281495, 4.5673780396754395, 4.601225426780181, 4.581853667015733, 4.593481519646718, 4.642975137945672, 4.6774302473508556, 4.675664327264368, 4.732753396025525, 4.737396227083802, 4.758539505299073, 4.767446869424756, 4.757850170927083, 4.781393504655422, 4.805131970385928, 4.834891226126004, 4.810775124039494, 4.8584335309926, 4.881834012312488, 4.916540487305696, 4.891622224947264, 4.9371930191122, 4.933203106206075, 4.929113369067625, 4.941734311580357, 4.9541528576977, 4.984391411860619, 4.963888199373821, 4.972864983897796, 4.973797225061269, 4.955569105638711, 4.944441998596261, 4.934729398778031, 4.904912283051979, 4.91608169201217, 4.938155793604148, 4.937374304898451, 4.944102469226953, 4.938152699259966, 4.872691620702412, 4.913519592382502, 4.948107039849453, 4.99277279292052, 4.959989919080741, 4.998992586799804, 5.022378941445476, 5.014343276510168, 5.056252497837026, 5.08588709460682, 5.0713488406547915, 5.047062727086761, 5.055973353797317, 5.065192340074374, 5.095536352034849, 5.126688075459658, 5.118275524414743, 5.131031166822508, 5.20825593666248, 5.226150693916558, 5.210209394804463, 5.195908700726607, 5.191087528099451, 5.1731192520672655, 5.142747937404286, 5.164164469000978, 5.174209901466037, 5.214479996331955, 5.2055267471480935, 5.2093484104891825, 5.2334767752913915, 5.236782054247586, 5.242919571734539, 5.209936009324435, 5.266070055332364, 5.229462498428374, 5.253239088577942, 5.297422376518958, 5.351702507058079, 5.396692620425476, 5.4601815208392805, 5.4390289051817735, 5.462165170550965, 5.465230732381636, 5.451226568755456, 5.517176478812455, 5.595061570850932, 5.624702760187605, 5.633486487685728, 5.663143323957287, 5.654163789587416, 5.642071926175805, 5.727437519212085, 5.781765711154877, 5.789133306317053, 5.786462782970436, 5.821079319561557, 5.905183874066261, 5.957096371189276, 6.017923994860574, 6.006275598027026, 6.072507184303306, 6.0544498885005975, 6.085681619225616, 6.105285828990458, 6.076630171390304, 6.139067469470655, 6.130413381653019, 6.057423838243766, 6.0946024679074915, 6.0879916853574345, 6.062564799541953, 6.00485510205827, 6.065742250406357, 6.048488535538394, 6.01592142017919, 6.088689532758927, 6.077675831393542, 6.062411962622941, 6.091540829391992, 6.145485605124384, 6.158048306578468, 6.180271633486083, 6.186805193601719, 6.18351236182351, 6.162084234942274, 6.230058976616738, 6.241892385365071, 6.309978844690496, 6.297488023970041, 6.343551506971174, 6.448365269885464, 6.4923411554806725, 6.418997983910831, 6.415776294451212, 6.400287300743536, 6.41103677782279, 6.43131589751351, 6.48349683023838, 6.527158747829011, 6.555596615984085, 6.5788539557431704, 6.579189124513598, 6.554228566845212, 6.578137424923799, 6.5796749710355105, 6.637928725125187, 6.675811484996958, 6.6872057654945785, 6.68908574062931, 6.762058253231579, 6.765425391350567, 6.820571415693627, 6.908234153447631, 6.903600038617716, 6.999358347107597, 7.0433224908814145, 7.060494864961072, 7.111297665237018, 7.1236673710036476, 7.119766120564961, 7.21525468538241, 7.223975628574396, 7.2633023524624125, 7.2405232686100645, 7.233435938386709, 7.232687092464625, 7.234799044904494, 7.239007040140037, 7.242207817807164, 7.265918864427608, 7.269229819605899, 7.2226409510751965, 7.217150322408483, 7.253825310278927, 7.344693007390386, 7.348879410380824, 7.340916636526831, 7.320379448633782, 7.325341112607822, 7.327134540196141, 7.318139591521248, 7.387387235239699 ]
100
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair", "Red Noise" ]
Try to shift one time series by a certain number of steps and check if it looks the same as the other time series despite the noise. If they are lagged versions, they should look very similar in general after the shift.
Causality Analysis
Granger Causality
406
null
One type of noise in time series is random walk. Is the given time series noisy (noise dominates other patterns) based on your understanding of random walk
[ "No", "Yes" ]
Yes
binary
null
null
56
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
When we say a time series is noisy, it typically refers to there are random fluctuations that disrupt the overal pattern of the time series. When the time series has a random walk noise applied to it, it seems like the pattern are even more disrupted. Can you check if it is the case for the given time series?
Noise Understanding
Signal to Noise Ratio Understanding
407
[ 0.06673339813432265, 0.16123338116884078, -0.06935535597403703, -0.2526826176785054, -0.01934418894392141, 0.11329367549777225, 0.025257965542989078, 0.16291614364374896, 0.06232557207884842, 0.20125095015296962, 0.07423328210804721, 0.021173066966933177, 0.25167134328918495, 0.2673821489422745, 0.09450857246323063, 0.10298196858409064, 0.2286465238319644, 0.1349940776444788, 0.029146225071065637, 0.09474362111218729, 0.046888949880917324, 0.10323002232566703, -0.20960428367535336, 0.1028641224885849, 0.16755533015594046, 0.13413419219581793, 0.12219798073827214, 0.1230538804797882, -0.015318928749493636, 0.03332579473679559, -0.11593018854057026, -0.07464412174059688, -0.03625350240268692, 0.2096351858525518, -0.05882882941828181, -0.061748073975301784, 0.028294487794863682, 0.020128082205690945, 0.11628734834202308, 0.0664166683880311, 0.0316959999585465, -0.09045282678842642, -0.13126852306748632, -0.021391969452965866, -0.09980570531517038, -0.11823617977791001, -0.24268789456962148, -0.12733858688872202, -0.18867540537675023, -0.10576760129303485, -0.11874280423881572, -0.30230318597352634, -0.0749809768755097, -0.45732688129650667, -0.27961303076744753, -0.34559655187825983, -0.21458445050249603, -0.38851322795602017, -0.2969504445779235, -0.26997352382842577, -0.4174747230545825, -0.26171882248941186, -0.36035811517611577, -0.35468340085537453, -0.444102328716775, -0.42149156925345405, -0.3524859250502562, -0.3890823901703192, -0.17861923696983267, -0.3562212438404029, -0.16887453770627847, -0.3527516714778467, -0.2967433782856685, -0.2702246868281446, -0.2123976514428546, -0.2110662460424615, -0.10575780569084654, -0.06400960535771885, -0.10472411347218522, -0.05278787920419168, -0.24227285738948806, -0.2642623767211638, -0.22396584787917945, -0.2031444480884833, -0.32031124709257996, -0.09113151077697626, -0.17950704259337052, -0.4330116958284517, -0.148378905020487, -0.32940260901125207, -0.27373312831115343, -0.32515143699010485, -0.2551862673196101, -0.261454045578805, -0.5210431216518775, -0.1816289279776343, -0.2254026390569677, -0.2168339347797686, -0.4074845070847496, -0.28104582267124856, -0.431508055924756, -0.4122193134049454, -0.18697113353430572, -0.3957072911183174, -0.25627713460516655, -0.23458778951269604, -0.14657393724333212, -0.05857656645211404, -0.2333169610910964, -0.46712649172369614, -0.14052299236703453, -0.20156741240817977, -0.23894681600587536, -0.23016762690924547, -0.053496930957929206, -0.0778367564293881, 0.04052677665384282, 0.03607589600936325, -0.17823383412618093, -0.3557688497688792, 0.03187766094776026, -0.16961753818650704, -0.15651455974520262, 0.05590432680377819, 0.008219579996349091, -0.23029935230900747, -0.10416824193420886, -0.15946130843999154, -0.16112027696683476, -0.06307351347623746, -0.14952672997507652, 0.13205166299903787, 0.048049206445941975, -0.13696180953825446, -0.0064763250512960505, -0.07152078818970008, 0.1313076896858168, -0.04970906412754475, 0.029582526330010996, 0.1483222600734856, 0.06181148841601877, 0.05870065375973142, 0.12396531132799028, 0.08610682606453644, 0.07355923815481359, -0.01870143446231117, -0.11069957522369249, -0.11993224946585704, 0.02609853641747066, -0.262149741811167, 0.05796947790979037, -0.03985491505770832, -0.05280030858900596, 0.02096066791788452, 0.0865701042774681, -0.029405254110797537, 0.05533366488061163, -0.012534317252564868, -0.10219777671327693, -0.04038571701318147, -0.12933119707880927, 0.09571187084245922, 0.16907975578566706, -0.018578199820036653, -0.18411760407476646, -0.1641497805812936, 0.019556594427054805, -0.03180365692412045, 0.17632611266412154, 0.09477622102266929, -0.007802900620536735, -0.22994023009228037, 0.020799629696395733, -0.12498562922490565, -0.1480755421253718, -0.06277455586337409, -0.12439089605445688, -0.10703758378791597, -0.22515998215522584, -0.12170143286595575, -0.36191796298825774, -0.5068629342042504, -0.3538646564364124, -0.38562519481617563, -0.4246943599642824, -0.5444930286387328, -0.49116712203871654, -0.5109493789647768, -0.41537257871582617, -0.6250261742061851, -0.35430756451715506, -0.23790858957559002, -0.31681094839183555, -0.32321163579795426, -0.3679105860296234, -0.40638892714336383, -0.3398641092050651, -0.34106578812542704, -0.30710413138387127, -0.4816657667417337, -0.20212919947452412, -0.3069298126848495, -0.12993223811765586, -0.2063171917983955, -0.4125997224742494, -0.307632573976513, -0.38382498008055504, -0.24124168433640952, -0.1764119931661906, -0.23350989267721053, -0.22879596122103507, -0.336420107416815, -0.32061438962169564, -0.02128357334740566, -0.13456447656864118, -0.2813456069838435, -0.39956118847107336, -0.2852831804605461, -0.17729068866466835, 0.0728091455829947, -0.10461293321180692, -0.21969510059406647, -0.060773996222993995, -0.11939634030183056, -0.06380842457318667, 0.18451506271131968, -0.06388435280632157, 0.0068672262559147795, -0.05198853830961411, -0.04101737208907272, -0.13847360319728097, 0.13297520832727755, -0.13284521533781177, -0.10920618183844688, -0.16766377616532357, -0.19359275096344303, -0.3572279099567177, 0.042487396025895796, -0.4590705882675893, -0.2783323186280009, -0.18333397458561396, -0.24914338719989768, -0.3822052348994226, -0.18561961879764197, 0.00040875067473539195, -0.21612189584835662, -0.2201682173179846, -0.45481903446105676, -0.60110238845184, -0.643096273157616, -0.4466161739394954, -0.2170145892043598, -0.6039486954898429, -0.2755615739135872, -0.3697365317184736, -0.3475546325554834, -0.41239876761630584, -0.5373290892338214, -0.461432336560685, -0.39824604651139767, -0.4107735883662921, -0.4453506065364772, -0.4075490921303682, -0.5672731133135317, -0.5848416869764478, -0.6017210421133976, -0.5816076251086029, -0.6214677837957573, -0.4938002558661447, -0.47492716276442837, -0.5763104481981899, -0.5343580125537553, -0.46657678038035494, -0.6800838157607575, -0.65195656232384, -0.6004355725671415, -0.5957739543314278, -0.5437009373467983, -0.9177986778676116, -0.6019905916570844, -0.8103964023256477, -0.9373747369903936, -0.9933099998118551, -0.6610101639583856, -1.0247684091494247, -0.902020040136774, -0.5767585983856869, -0.543317457609645, -0.9808792040664153, -0.5064738593248417, -0.6888232134513151, -0.8652596021570136, -1.00684729879154, -0.6631836045996343, -0.8252981883226826, -0.639509566445446, -0.6741757578030446, -0.7813950513613916, -0.8372863251462987, -0.6660730994489709, -0.7741353638804417, -0.7387746074538158, -0.6196153818974095, -0.7375669145137388, -0.6680801077002325, -0.7254271977748805, -0.7485668468680742, -0.5964304088885739, -0.5894632265375211, -0.7266924638237664, -0.8391902123225118, -0.7534896341032679, -0.4895435628098721, -0.6408492269122453, -0.5538703019976834, -0.5974903537030609, -0.4545084978040938, -0.6478209516624748, -0.5312984901001679, -0.7499126514707095, -0.7475912700000339, -0.7755607621432049, -0.7219742360303977, -0.8260024160359865, -1.0558746299487, -0.8451867703725979, -0.8402015861529615, -0.9004632388431891, -0.8689115790547481, -0.7505050849561056, -0.8525735178681307, -0.6405295746627625, -0.6523340638905311, -0.6356335801152456, -0.8650386617791948, -0.905434721514419, -0.8580839333716634, -0.9695519539038833, -0.8030493378191442, -0.851044419436826, -0.745015006915866, -0.7798604569120934, -0.786803663023324, -0.7669987219706345, -0.955866574826106, -0.769390376603212, -0.7358192859634696, -0.788286592980197, -0.5265638462472981, -0.9266709924961937, -0.8006871024126603, -0.6243782753932084, -0.735022832479516, -0.6877115362140527, -0.7761954497310285, -0.7426575260231358, -0.7838673794435057, -0.8740967226584087, -0.7652995009227894, -0.736110545349791, -0.8276526125238276, -0.923356642534715, -0.8064897133441489, -0.9792181313200704, -0.7405969690515269, -0.8844456981488256, -1.170881060682715, -1.173082032081908, -0.9854524585248482, -0.9184637609367784, -0.9351708333235411, -1.009307156812459, -0.9467949459466107, -0.8159777946777164, -0.659253450741447, -0.7904278448336134, -0.6626087944691322, -0.8335640438994956, -0.8187357536238923, -0.6990951036283067, -0.823344324876005, -0.5984430931192545, -0.5275106547717106, -0.6709952064018421, -0.7026225964024351, -0.5274414837236914, -0.661963368915415, -0.655177884850405, -0.7749327378299635, -0.7364760390853825, -0.7871023607928547, -0.8815511930761193, -0.8693161351678147, -0.6273562846620893, -0.9093146009824877, -0.6244977589224278, -0.6694275334539188, -0.8078155358701263, -0.7588810752840129, -0.6587233110160494, -0.8468922742269686, -0.9180915534023595, -0.8356295869528221, -0.7347331841555874, -0.6551589143263017, -0.737073373499706, -0.739274087043645, -0.6925300083825932, -0.6172183336661364, -0.566543980657394, -0.7560453845467692, -0.648533078008601, -0.5221494606446381, -0.769938292094499, -0.7896899080350973, -0.665884188075941, -0.8024125380836529, -0.7993406959042336, -0.7917269119362029, -0.6183285182631024, -0.7998218778925433, -0.7428021127283125, -0.6965245921796599, -0.9257739525059275, -0.8430997238741289, -1.0648153363714143, -0.8507850156676274, -0.7875463213394575, -0.8463942723314148, -0.7867674089917612, -0.6616765928660925, -0.7492721725758986, -0.7659594622431084, -0.6770342625092214, -0.7738361640148219, -0.5685264320374822, -0.3943490827131189, -0.6888088368542024, -0.6095737820872585, -0.6373122555549184, -0.5225082211300699, -0.5299221206805022, -0.6388625887614823, -0.5853414083504255, -0.5906264627455722, -0.4984412323207704, -0.5650377812313917, -0.6631289082447073, -0.6077050546180548, -0.40905515069354426, -0.40307089512674193, -0.4291956559808429, -0.5392039246678181, -0.44536003879900204, -0.6217667743718535, -0.5816392348610353, -0.44926057051084933, -0.7403541192539274, -0.21449163866732512, -0.31906390485118097, -0.4324295964777759, -0.48245674780379566, -0.4152909658619572, -0.5681178126330045, -0.5088634123736919, -0.3448517837152205, -0.24395708682272416, -0.4864020619678632, -0.24782557341783873, -0.31544914733336266, -0.4905152636918524, -0.3447174178774916, -0.2668634358732576, -0.4379203581425015, -0.3556540359724337, -0.5136510241126648, -0.379490316223639, -0.1603808967940242, -0.47402035451919156, -0.24446532580965336, -0.4169838102800747, -0.2619956503327522, -0.30683045378081597, -0.3112838004575691, -0.45691053756437056, -0.21920657628202578, -0.2344691438011608, -0.5476263052347446, -0.2798264110407759, 0.0341333422461475, -0.09572748861422395, -0.14515015345425852, -0.13057970009575348, -0.2683878684202361, -0.2048271019268008, -0.12381043157640756, -0.06442025641296181, -0.001864092332084552, -0.19465443467463162, -0.05820941010575563, -0.20228880104871272, -0.34245933443756865, -0.35170453799169243, -0.15531483075380967, -0.02990334844206935, -0.23351094067479372, -0.307944632955006, -0.1671123950180412, -0.4306127805728458, -0.12079000902313622, -0.10644725898993541, -0.13232822925459042, -0.2971874057787151, -0.11911725764930114, 0.011422735731466294, 0.03324107051984271, -0.33111724893459143, -0.16025102237344763, -0.2281375308534991, -0.26938780757064007, -0.14607506997784936, -0.25475737071507076, -0.15885297372124532, 0.009121372365252428, -0.12417635386368803, -0.07306090580323206, -0.027292683641217827, -0.22352102876987395, -0.08834939060543028, -0.30674823596846923, -0.2144085692831773, 0.045732088552568204, -0.1563260511245109, -0.03632660842904174, -0.2394869129622581, -0.15052710668163996, -0.19039769349896507, -0.3212422782387704, -0.16523435164839817, -0.028652917673299673, 0.03432955368416396, -0.07350465413086672, -0.03854225318914488, -0.11290451794960221, -0.038148253814832826, -0.09253280843012399, -0.058927948549920964, -0.13094825325902448, -0.10520612006363578, -0.06120296378271667, -0.1292052859195942, -0.11769694049971113, 0.03278618636632655, -0.1829066282028522, -0.1631343256297034, -0.08344615300462435, 0.056392048073322036, -0.0829723238422791, -0.09779846987075988, -0.09013782979812834, -0.06310198336636158, 0.02783405337867897, -0.03064412796657231, -0.08738027264255116, 0.16457457874769307, 0.2550423145222729, 0.14816218466312558, 0.07510276900509374, 0.16171927641047146, 0.2535661724909975, 0.10473051683993176, 0.3214745205182712, 0.002334879041301613, 0.07424522746312356, 0.21972257706213688, 0.31418544368868373, 0.04779921312959097, 0.13032842506781558, 0.3156944261975748, 0.22489180679154055, 0.261152498422377, 0.11593517754368368, 0.17107859272313172, 0.19974986175734222, 0.1854611334715861, 0.24887776883134177, 0.14241948801495583, 0.2195870411239778, 0.23314075024088105, 0.23770802531323898, 0.26392867453462254, 0.3772974869759159, 0.3075076442755948, 0.1868555111008279, 0.3391483458460384, 0.11285369812480434, 0.36601477089116574, 0.4345023003214172, 0.2966385970723447, 0.23257504320495506, 0.15675634707553127, 0.165993440658182, 0.29406398260373434, 0.2527808928363012, 0.08927052822764214, 0.4265369548834077, 0.12016975617243596, -0.017628111447723208, 0.12517954708568274, -0.08261716277802827, -0.17081385685184164, -0.00857656964181866, -0.04065698003340894, 0.0298482955002226, -0.015381723094747534, -0.14272857030292743, -0.11359735707870536, -0.01796766095278869, -0.21203417692971888, -0.15165827885546165, -0.2374082731077295, -0.23684002989997327, 0.10827091906670815, 0.04307265545401528, 0.21572111967865087, 0.06522209161892369, 0.25649594132925935, -0.1293314565559256, 0.029628549626759565, 0.028571787269214936, 0.057361472723189255, -0.053975196153094804, 0.02824903539324508, 0.059639595529949935, 0.054284046607046284, 0.13242654566367856, -0.03184412313140948, 0.11672939541421525, -0.00658797043878797, 0.1973737749836033, 0.0695694008816516, -0.07823273935758077, -0.031073944432778028, 0.00546462343256748, -0.11307443975200354, 0.013495715149181183, 0.06176974418128096, 0.1681214478378869, 0.07928424079577717, 0.022534203021460517, 0.049947504788716235, 0.03782932615102437, 0.11376588293814048, -0.01970251486360472, -0.00857524089206797, -0.1433798439204418, -0.11220160858342541, 0.08272743367267128, 0.0970257685266088, -0.06230096243785764, 0.10266519893071038, 0.032911940178909714, -0.05194083615297828, -0.2009362203784461, -0.16450625544029804, -0.2499607007800868, -0.11648625053281249, -0.08801733972066933, 0.08178270980645597, -0.06262382091841429, -0.13357574730500563, -0.15774755970749893, 0.08923262618303451, -0.14457908641890918, -0.07191698513921535, -0.2014048243169495, 0.0973376624142405, -0.22849730980006694, -0.13200944839189171, -0.2570027593829257, -0.10819432667476907, -0.20518810424078868, -0.21032412013556817, -0.2668388164916774, -0.2111180597119778, -0.3561902633353834, -0.10879726944281462, -0.31008295503337324, -0.3580033306573494, -0.45354581529375526, -0.2801109080195124, -0.36792320894275143, -0.39292298220232275, -0.32828841345987086, -0.3384778402667598, -0.23625661597421846, -0.5661613587470304, -0.18599209916169462, -0.31083408904982746, -0.36702621852166806, -0.4071648187353426, -0.4110735766428771, -0.2337623381615926, -0.42418076025373014, -0.3858182304585181, -0.3103218824545976, -0.319050026653802, -0.43036708122123984, -0.5794319348512825, -0.5753048259106949, -0.431271713016099, -0.5838597367204965, -0.7295388816917522, -0.5905346723217206, -0.7998542605398814, -0.8486275392913608, -0.7607611569405346, -0.722642101911672, -0.8276913553293688, -0.9246094062608311, -0.7359134773868985, -0.7783429640652522, -0.9355799606160305, -0.7597797090927835, -0.7348812931739332, -0.8549380522717127, -0.8592276043729392, -0.6206170822184421, -0.6768520221888745, -0.6002227244211887, -0.5852018890835982, -0.40105739853285766, -0.5567605394634358, -0.4974344937650268, -0.3625488124870355, -0.44907135609696736, -0.34985843934221905, -0.5560749509760368, -0.4236609096761539, -0.37561118229195045, -0.581713720181481, -0.6144977340997956, -0.49841234841973653, -0.3547091148429128, -0.572501185823013, -0.45860866982340465, -0.4434035994027669, -0.69004187192629, -0.6122548145448877, -0.6375775025687683, -0.9550393672183718, -0.711890191702548, -0.7160003511508818, -0.6144361755073682, -0.7176074965603045, -0.6181968897393877, -0.43420311197440675, -0.8922562835751678, -0.6085780308786312, -0.7541417016955949, -0.7501845124924245, -0.9846910984599468, -0.9518803255658913, -0.9225754826277514, -0.7691986181151004, -0.7992240609627936, -0.9686633994110543, -0.7375070037780643, -0.6739034924475851, -0.9914866076533649, -0.9184477880064497, -0.823049414284272, -0.8131701883117906, -0.8613031060046705, -0.8774825377163088, -0.9628198730410733, -0.85731953772941, -0.8987333507593711, -0.8761911992836604, -1.0827104554564178, -0.920050417191396, -0.8970788850384943, -0.8450673545295708, -0.8708487127497588, -0.8295429976193942, -0.6411470058024413, -0.9086523490047897, -0.8922184945486786, -0.6567815517850941, -0.6497062261342694, -0.8368299380326826, -0.6144770949198632, -0.5578926380102522, -0.6776511823048023, -0.6495228473379185, -0.7791650477338491, -0.5852829317180115, -0.6851274468132922, -0.7413999003579576, -0.9088293831395526, -0.8347556571541546, -0.9984006414515705, -0.6765942599772748, -0.8847876039439108, -0.9844106839854052, -0.9133824186329199, -0.9590613404836739, -1.0410022732531183, -1.0082663984780627, -0.758777541467402, -1.0627711947573757, -1.0406683413658673, -0.7530193378898271, -1.2698504038190066, -0.7138474275015718, -0.9974176347861891, -0.9323814355937888, -1.0955191078651516, -1.0167033117941144, -1.0303675974409894, -0.6319383792843671, -1.2671974983519285, -1.1200415003182695, -1.2510843793229387, -1.048931921274861, -0.9699514316034541, -1.1327616388324495, -1.2663118722430053, -1.1583550414467496, -1.1285626087153162, -1.2442077847048165, -1.235047419307864, -1.259782525117238, -1.1671001722097323, -1.161384255997471, -1.0870467291098664, -1.1336267000840556, -1.2878427315341041, -1.2299885156747483, -1.0428756073505658, -1.2176261569076192, -1.356976153503267, -1.4775491641461964, -1.084152112554607, -1.2274720707524454, -1.1667653414490626, -1.3095478091135084, -1.142926440570269, -1.2738955414216495, -1.0433794378530448, -1.1366712302335478, -1.1784436434244876, -1.075749456055208, -1.0220612545236594, -0.9307927074723039, -0.9321265556743921, -1.1455083331727978, -0.7307274377334699, -0.9698144579300113, -0.815030534019034, -1.0287651770725224, -1.029127522661197, -1.0231585208034297, -0.81066175883192, -1.1627606821490954, -1.0562254839036749, -1.0839270722790812, -1.1602119931191144, -0.9291147884727737, -1.01611054561194, -1.256171881981117, -0.7908580724596198, -0.8913192470070044, -0.8574533080969837, -1.0333151155221438, -1.1415378338314175, -1.1447214767666687, -1.1336421487842374, -1.207532034394341, -1.3084847681012857, -1.2369906005108753, -1.0653901168614552, -1.1299909641279806, -1.0836370900709744, -1.0179708792022217, -0.9469958223066304, -0.9431810905993717, -0.9204054273327158, -1.0445645927226617, -0.8810947565173162, -1.0122965768699852, -1.2301055913508583, -1.094849335176536, -1.233281715012852, -1.1265727714356844, -1.1111462493470232, -1.0938512863591745, -1.108943130229602, -1.0971007759974623, -0.9527433050458032, -0.9648431181000691, -1.0247961553796285, -0.830958234031564, -0.9740393520646682, -0.8511983874036969, -1.0981783129241172, -0.9202198390267646, -1.1570367248694327, -1.0496853538711588, -1.1052238797316123, -1.2358578138558989, -1.0634449103934023, -1.1053263195055962, -1.2243708102658974, -1.0330214595126321, -1.037461070135901, -1.109189928137555, -1.083211410913397, -0.9997278549886239, -1.1009617681590427, -1.2742891735293715, -0.9857115606129905, -0.9352927440889491, -1.067474354214276, -0.9865390484794447, -0.8129981905607804, -1.1811995515674887, -1.360981778200577, -1.163522130749996, -1.180083379225064, -1.2970134094995802, -1.3698273392279803, -1.3344262237782047, -1.2521736817719054, -1.3620003101399867, -1.390780474184975, -1.3222923618379412, -1.2949025377009507, -1.3254714918539607, -1.2887993811162015, -1.2573039052950794, -1.227054018919207, -1.5230410298887946, -1.1318563453443629, -1.1563594762070324, -1.1404207086377802, -1.1132034878007468, -1.3369559330637117, -1.0382624774117208, -1.2363205292485955, -1.3943295985059356, -1.375285964230892, -1.2996759613096855, -1.388329738731828, -1.4565088876404766, -1.4881627983589096, -1.4782015686993895, -1.4587207987890851, -1.4784576835488923, -1.1686272411164, -1.2579052808534108, -1.2635548570549056, -1.2648857218248335, -1.206924024489272, -1.2385917501940107, -1.2339344883656542, -1.2092284660570105, -1.3375559123552494, -1.2381989647003193, -1.4014107444310067, -1.4392880809227857, -1.2667470003287116, -1.396654034181049, -1.196622329098558, -1.3683902643027683, -1.2875955319320114, -1.223533988606641, -1.1593526341415608, -1.1359469741442343, -1.0902104355164637, -1.2568510579840986, -1.160414088755853, -1.3853136384264668, -1.5051527850896838, -1.5653084101236747, -1.1771904670775375, -1.1924352559355778, -1.2462237783551826, -1.300423624562505, -1.3613357191631192, -1.1647525140818786, -1.057173648345479, -1.1965221228047298, -1.1305987322593543, -0.9695068477972203, -1.032968052158115, -1.0124593128488226, -0.9806886223200463, -0.9285939899707887, -1.0320347785043007, -1.149474019693803, -1.152515883788165, -1.2055367628202875, -1.1675204492227356, -1.2596207245760316, -1.0058018073278163, -1.481034176456593, -1.3644079249475654, -1.0076322332091912, -1.3321721077314879, -1.4100657537903325, -1.4606297205324388, -1.183558581035592, -1.2880864146420061, -0.9585471111791222, -1.325165038783397, -1.1444010739143298, -1.127267135054362, -1.1183523122275776, -1.0377369503466276, -1.002022337658113, -0.9169137405136127, -1.0933364418677802, -1.1018536986977323 ]
Is the given time series likely to be a random walk process?
[ "Yes", "No" ]
Yes
binary
null
null
53
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
Random walk is a non-stationary process with a constant mean and variance. You should check if the time series has a constant mean and variance over time. Another important property is that the noise is correlated over time. Does the time series seem to have these properties?
Noise Understanding
Red Noise Recognition
408
[ 0.21853552742038052, 0.25934058668565874, 0.18615811778711389, -0.07577778790153261, -0.12328826107197809, 0.10072928719772195, -0.2424330316234361, -0.15129301482154786, -0.16517316207672836, -0.27273171586929873, -0.2826298212139387, -0.030993211104837326, -0.2111029426301289, 0.11487599290866685, -0.18934470633613767, -0.04508143501579682, -0.020083855208275395, -0.16693078427284633, 0.23030249501254507, 0.4432406303299874, 0.2592658407869754, 0.07124651734118578, 0.41140596722481604, 0.407863764444774, 0.40483866394580204, 0.8679380140155648, 0.6504961337231115, 0.2827703570428059, 0.36043786547394396, 0.39983865550665865, 0.21352856681560922, 0.4358906577493748, 0.15044831821509197, 0.43070585363583563, 0.5196233727897691, 0.7862863234670414, 0.6547820246318625, 0.49298875958712407, 0.44407957820495525, 0.3975875789768868, 0.5338565971532677, 0.5954221415336867, 0.21647748262595834, 0.020388788682083596, -0.10310539772806696, -0.004392179258431583, 0.039682591097828596, 0.12451834311905968, 0.08775232854496211, -0.17856998733023458, -0.07578547632514832, -0.13114006323774238, -0.13643437976069206, -0.4312525445105195, -0.42751785028398326, -0.0873578535385823, -0.1824191440096221, -0.4318237233857598, -0.4577198041761835, -0.2520241182849495, -0.649927331030727, -0.5697875279635815, -0.34390221340178223, -0.4641698660591674, -0.3830170262748229, -0.41475267641863256, -0.7558317485513483, -0.6285417154392553, -0.5490507838705876, -0.6081128131801117, -0.33623808479614126, -0.6758006602754213, -0.5710606763797292, -0.6327431171928928, -0.8691335452268338, -0.9430026637808226, -1.0867351498525384, -1.0643469070591667, -1.0340437724878953, -0.9822736468878634, -0.7000128125448959, -0.7137263282071649, -0.8115333941923633, -0.961557402762309, -0.778151829009236, -0.9677258213356678, -0.68455916714202, -0.7543790543118094, -0.8489915979499467, -0.6549989998963175, -0.7992952951264811, -0.6342422180584643, -0.580077441423568, -0.842013536225983, -1.150727489798409, -0.8757301817569962, -0.8387681930449481, -0.8626712118519371, -0.9202803250970154, -1.0029792737622318, -0.8633625560708656, -0.7116387677531241, -0.7333406649401566, -0.8240653706122038, -0.740297135587347, -0.6407695254871134, -0.14003451620080412, 0.0437584321210093, 0.022028732718695276, -0.04655509809121154, -0.16468978256481714, -0.4636592377017789, -0.5126717409989665, -0.6191080960254575, -0.5036670029312783, -0.47598412223738507, -0.3920549315025809, -0.3297926233735459, -0.26856382559701825, -0.27588416205480387, -0.23214400569189225, -0.3437923309202533, -0.21957114747762912, -0.7477616917630865, -0.638069893261026, -0.7697583177932946, -0.6792901652409165, -0.5943193511914096, -0.8874811621793636, -0.6546874398470017, -0.4414940206159258, -0.2076158598154075, -0.33817484624143845, -0.5592857606042035, -0.4893509297987439, -0.6800404463697048, -1.1234177612945968, -1.1609237410013244, -1.1072235268618114, -0.8044485849985753, -0.6830476110264909, -0.6608920067007156, -0.3651160819885927, -0.1460490407545381, 0.03496519734178086, -0.002959301159976009, -0.31074453655953005, -0.2475168173131478, -0.2701641258087895, 0.3449948411899355, 0.28825763904140067, 0.004627189364352691, -0.14337017571388339, 0.3008520105134417, 0.6070991898850567, 0.12430158123556248, 0.08426058528878348, 0.07380580643636953, 0.0037319448967210907, 0.07896116962918379, -0.09681738703994268, 0.14814728373897063, 0.05742076720369889, 0.09444185467409037, 0.19621532063378308, 0.143649712040282, 0.18541137405640584, 0.7623248292069984, 0.327557425903696, 0.6410106693063882, 0.5747079829127429, 0.7365908969709386, 0.4894548339139468, 0.5142404763717171, 0.7652924958289667, 1.0290216661362759, 0.8990406739309924, 0.9954871254190311, 1.22028488660982, 0.9919296670942939, 1.0144378617131702, 0.9848387220986442, 0.6658803622023162, 0.5255640423737867, 0.4376965953401389, 0.6282081156877999, 0.6893486012176242, 0.7490272907418895, 0.5858616058890274, 0.6680025502491855, 0.7772099569310492, 0.537815849261311, 0.35758198302612715, 0.571158891803848, 0.580800024559536, 0.5718164756518992, 0.8641469836212805, 0.7732094023430633, 1.0610989742507093, 1.424996701882626, 1.1683313209940667, 1.3545721417972578, 1.398258381999019, 1.36296523064682, 1.2707105917310355, 1.1101942137695722, 1.1916370680704744, 1.1696241933756402, 1.1089134338069608, 1.2918418501482902, 1.0750044066843838, 1.4123243968661716, 1.5973915923374915, 1.5277936860145507, 1.3794117071506071, 1.3771946906428087, 1.3689147095073664, 0.9968698872926738, 0.8526947834700181, 1.121004466283307, 1.4041114304037965, 1.4894164052774024, 1.3493790162211659, 1.4674538298782842, 1.8258637379616613, 1.9510090802510427, 2.153171232939418, 2.3525286901181617, 2.458993095508311, 2.464328079295238, 2.4881460059807234, 2.6022171451270806, 2.626462185551187, 2.7718666928907054, 2.7024440780795866, 2.868219736726638, 2.8084516014382452, 2.79234180340375, 3.092332746667938, 2.6456001719691224, 2.9791787077958904, 3.486354777714767, 3.4356942377054285, 3.7594226119559546, 3.5350926663982194, 3.276224185800265, 3.079954783641192, 2.890626652962865, 3.01417313701942, 2.8836759821934486, 2.7230326142896195, 2.590583455028825, 3.025194087467595, 2.6672949186637958, 2.6927707337639424, 2.949476452071681, 2.7818160869275, 2.8847973306899686, 2.978602221123822, 2.957280382523654, 3.066089523705705, 3.2948226489165697, 3.0762524568696894, 2.861288618404168, 2.6837954930722456, 2.4625367107163276, 2.529260635935679, 2.4190999085185694, 2.3934321975285524, 2.3086996438603804, 1.9530050423972702, 1.6595415888762073, 1.7379775008947134, 2.053411131941959, 2.1255170502740377, 2.004024719141835, 1.5803251816370565, 1.8754741414335778, 1.9147611439251913, 2.023506581285218, 2.087543806049272, 2.06423097764786, 2.05595431720686, 1.963083132058693, 1.6132746808808556, 1.536211160744935, 1.777885683217333, 1.6251393882580647, 1.412943615663103, 1.9176145426114286, 1.7546120144154091, 1.8853663937685434, 1.9759694186595258, 1.7967738066595462, 1.7588397083339835, 1.926334858032693, 1.8716761378645754, 1.533622865226845, 1.5301573420282946, 1.3493837136530347, 1.331906713098609, 1.523400469284876, 1.6513259215197793, 1.5305024779773295, 1.181551772371273, 1.5228804343544347, 1.3323724403023756, 1.088049967842799, 1.0979776523134606, 1.3592392931078592, 1.3232848498234142, 1.3221751680971938, 1.315425729165489, 1.3636839111285115, 1.2139158056177421, 1.4211809413259324, 1.5466240804393254, 1.5137085571545095, 1.3672243170627754, 1.6069998804531596, 1.4970126308273333, 1.7675967423541472, 2.153848112217298, 2.05545073158169, 2.0278444073918496, 2.3574550448278333, 2.451700426570552, 2.370514065999709, 2.432269564522098, 2.563404970469293, 2.315123283410761, 2.336043168956361, 1.9117694372700238, 2.2042137334100507, 2.5930178370892802, 2.3210587000808234, 2.5836140881169425, 2.4099617548159564, 2.3222853741195353, 2.4133766215026586, 2.382861281099504, 2.414867789609462, 2.479313794865717, 2.6136099557531245, 2.7049358474756926, 2.770895752939889, 2.9684364278696176, 2.6762788855517754, 3.0195962699301298, 2.9170588805319557, 3.0059707933483186, 3.1427998134749378, 3.132707584953768, 3.0794750918251492, 3.3154325871851418, 3.366088585036362, 3.3799186153699523, 3.3025938789331386, 3.447312122107875, 3.242117782641816, 3.54942552428661, 3.7027507564701034, 3.573823751047647, 3.6430191678220982, 3.904282736254172, 3.9090339433485743, 3.546683600014459, 3.6457395876740932, 3.7078738477061917, 3.9515092689332927, 3.5981743083308984, 3.9396062041688875, 3.7464812415852307, 3.8732770709467497, 4.054536174349319, 3.890080542743207, 4.178641578913514, 4.18792849512444, 3.798284149419309, 4.0876288691539795, 4.129268332059785, 4.082956810234794, 3.875393488860675, 4.132168644281843, 4.034526605690146, 3.968933629528007, 4.187124838542933, 4.5891609798938475, 4.477979644977048, 4.465438569220589, 4.562094747079656, 4.565143342185152, 4.824217255291462, 4.869647011088846, 4.852036906208967, 4.508553690276669, 4.577698169414326, 4.416349441458935, 4.297946994160782, 4.398029189347059, 4.406775198407037, 4.5077004628312975, 4.486858805440276, 4.184612811430923, 4.394742979686202, 4.54774758865048, 4.38614297423977, 4.530864141572738, 4.4504579582213415, 4.362887756015574, 4.614695717587841, 4.234508331584342, 4.348361637655592, 4.491241742786292, 4.4148570309424215, 4.093910733032991, 4.376245224910464, 4.405766232209845, 4.662589838895172, 4.531676298960278, 4.601245860293549, 4.852614765109948, 4.759486919313021, 4.567771296116197, 4.553367777312024, 4.263748797683074, 3.996838032640815, 4.224585144096775, 4.052777421351817, 4.254878674988124, 4.5258758482726815, 4.22770293796633, 3.9573896815871517, 3.9741868478907456, 4.19350817070137, 3.8601948011941563, 4.13113876776872, 3.855669158096711, 3.798185277809666, 3.8671543540063715, 4.155826290748014, 4.096602415900387, 4.1523413578185835, 4.20413515236583, 4.266520158640907, 4.094160488901288, 4.142922980471086, 3.899922287353072, 3.65371364196152, 3.8151646613988834, 3.7961562964787054, 3.8184998956995617, 3.6043796860529036, 3.43878113027681, 3.489226164652097, 3.868220958982383, 3.4074326530757313, 3.433415094323637, 3.54814081438779, 3.6829169887110353, 3.81332247971491, 3.1843153774562207, 3.6769612749247416, 3.6778414270784383, 3.1853672214220783, 3.3225938953191574, 3.0592487840891467, 3.239738612869265, 2.923379093570686, 3.190576870028208, 3.169228721969642, 3.097381171240065, 2.8490024430289984, 2.857520316102322, 2.909551371009077, 3.0442221074074878, 2.9702497535902066, 3.2086452406071206, 3.2717128703768004, 3.23957563742995, 2.907954194855449, 2.9039009311402495, 2.743793536548448, 3.0679608209426914, 2.964635807482689, 2.570665273862452, 2.497640628756329, 2.438372642338522, 2.7967000012531766, 3.0711018480375785, 3.1642530305744656, 3.2414304028364205, 3.3548410514838096, 3.1171121037335956, 3.4935480670051247, 3.2677432926153798, 3.1993611407082896, 3.6567664744291313, 3.285396395449843, 3.2907649377110184, 2.9628082689863726, 3.343427001138689, 3.0627532627179055, 3.0663349312742865, 2.8874795179831896, 2.884388563662705, 2.9572693111083606, 3.0930674520120176, 2.762245280038479, 2.8261048777056588, 2.6476065690290818, 2.7018685355985492, 2.702456701354972, 2.5522343585708467, 2.90030376593246, 2.890721213938829, 2.6953503403318613, 2.7655882444253694, 2.510101529606808, 2.7816773611678958, 2.7021571095819747, 2.434782847681006, 2.575034150903505, 2.6020125727761028, 2.6158602336837706, 2.6163028321366015, 2.742058387079845, 2.9562472825823054, 2.769724559977557, 2.927947016130133, 3.162039097712758, 3.1901256705350054, 2.994386210829624, 3.1951167351085616, 3.169117882737549, 3.429062025458143, 3.655003791707811, 3.2331881852519215, 3.336558472053408, 3.1746275629387313, 2.9726962196350084, 2.6702931319966905, 2.632105766153632, 2.6196606081049003, 2.3368066273226313, 2.487485272634931, 2.333575534426467, 2.571433467800706, 2.596419335138059, 2.585529871770256, 2.5905280090014497, 2.5385839759314837, 2.6893003303522254, 2.8777392433311078, 2.937090172254482, 2.934230904920536, 3.123851070992985, 3.0856545225851923, 3.056425955793388, 2.87934274480683, 3.010144443775921, 2.827226169159677, 2.8479517028657444, 2.880009660437857, 2.6540645939912197, 2.6438741044747913, 2.5623729775731743, 2.711495871233001, 2.5433690632620967, 2.9754587444017044, 3.126894466209365, 3.1257951134088287, 3.2661533595719185, 3.313375282399652, 3.462334950612458, 3.881144018585389, 3.828790471076688, 3.5580110698088956, 3.553584594720806, 3.7919372728580685, 3.413755312118119, 3.8680744105125893, 3.8960577830495295, 3.905286027733262, 3.9517069865701817, 4.014979060075874, 4.167387388302573, 3.8194960882877274, 3.7957978939556716, 3.683454906275788, 3.601109624839984, 3.7339354732429544, 3.6897528126485444, 3.7117110109773996, 3.631880364560722, 3.6116213245817637, 3.613793525112981, 3.5805830147532967, 3.567012626420661, 4.08748557756345, 3.8506440019716948, 3.53505915142445, 3.721861172110064, 3.4413753360828223, 3.5167579039681454, 3.540264701883933, 3.6441395420090403, 3.4617715670147935, 3.3809865528009873, 3.3919426970508275, 3.374271023651897, 3.6543429166744255, 3.447025468274601, 3.4822016254462875, 3.305171272999309, 3.143794303765822, 3.275496552826339, 3.5393256203503154, 3.465639242796883, 3.27826395922437, 3.4035774064218614, 3.6405859480794027, 3.803229967813364, 3.9233805544514264, 3.926557080875852, 3.973919611473396, 3.8567245413171913, 3.8950434738541886, 4.224715315053356, 4.1569162172503304, 4.130450002014174, 3.9026598082913933, 3.438687975078361, 3.499476775754086, 3.618459671643566, 3.775170400202202, 3.749795133899069, 3.8130746524748256, 3.9027512990634348, 3.6037601703477025, 3.6459646646798336, 3.7033690597149334, 3.802260078917584, 3.8149271104191036, 3.5102770808752166, 3.7971107324330564, 4.196815396680551, 4.16303489289834, 3.817931514913879, 4.001001287196461, 4.151383180797279, 3.9094344895480533, 4.1721271381544405, 4.253126717705032, 3.9335231451977637, 4.220053780892478, 4.11696068183252, 4.115132944123365, 4.286431394313146, 4.045563318088386, 4.250580618317219, 4.170205412474893, 3.853312740847661, 4.169581837903885, 4.033325595797108, 4.203711375771881, 4.301886158362426, 4.212338365018688, 4.207057422686941, 4.378545062510507, 4.2109355534983255, 4.3713245171679596, 4.169700438948123, 4.419822337824855, 4.258329754636577, 4.273213111564394, 4.531582061422095, 4.246494050984155, 4.485865762344343, 4.393538633602128, 4.4448008337166875, 4.493139223171706, 4.1843798503942535, 4.553031334024843, 4.417233782132768, 4.876797143785093, 4.798033211343061, 4.643024363318331, 4.8741893656102295, 4.897023825069601, 5.214526089509858, 5.684604464703268, 5.658686258117694, 5.449562335674117, 5.588084893127084, 5.304515759992851, 5.345635451579766, 5.500173587260374, 5.3029103533265864, 5.427168350023901, 5.432666260531775, 5.5702009576456035, 5.629551598093764, 5.471833626994516, 5.096644282189511, 5.357415254790368, 5.3794274733013845, 5.640182225276208, 5.2357371078092685, 5.457952890338, 5.604601334108926, 5.678716409261129, 5.105410805887462, 5.138588439780986, 5.000673867881981, 4.978703644981669, 5.318008668967333, 5.505572512728123, 5.373245305891098, 5.375567859395192, 5.466302001815618, 5.616564956956443, 5.4759587235286835, 5.459607378108002, 5.573026678251088, 5.211691084694956, 5.586537794508452, 5.5062102246795135, 5.447868933555907, 5.544085482163218, 5.430399914969262, 4.9864491530043145, 5.223220184253415, 4.933173617755804, 4.938308393494801, 4.904055016674971, 4.9199416745467275, 5.067078078343049, 5.228730671006236, 5.393893766369663, 4.879836947020561, 4.7713961757020344, 4.850339082784428, 4.597510354294468, 4.897911880671307, 5.011716102180202, 5.239911233031469, 5.004071158214804, 4.681490916009593, 4.700958740776146, 4.926189548947163, 4.858947580382135, 4.799864015707728, 4.8408277562928514, 5.061622876796621, 5.645851109153467, 5.566269131602554, 5.3647499875435525, 5.459386614603165, 5.503964570237344, 5.558061705684006, 5.436013854454649, 5.610422683421569, 5.733716447306019, 6.03256570593603, 5.845091736590481, 6.05219765330558, 6.36565233065275, 6.417163141479346, 6.211636380242941, 6.267719578227919, 5.877669767295643, 5.816563142049131, 5.740242785821489, 5.593695698614864, 5.740930725005206, 5.873498269494591, 5.679769365807731, 5.489184371986155, 6.055695379482561, 5.958574695548787, 5.951847794985222, 5.724692140933556, 5.576002197404412, 5.739458523704423, 5.619745325809568, 5.301994638379047, 5.438238627502178, 5.567149059899303, 5.937716642246382, 5.746271334638914, 5.3620682274042615, 5.467655524280026, 5.293596555345188, 5.383185068584702, 5.135489267491331, 4.8017650353898915, 4.950252652285933, 4.9367447323766145, 4.883788516804351, 5.042126136121435, 5.0687939387233705, 4.904125342783587, 5.035993189895066, 4.897893181656695, 4.945486826315337, 5.045105688419651, 5.144106063711506, 5.052572578649373, 4.591451028406329, 4.395181763606889, 4.272374893516336, 4.573918280111021, 4.406143291784866, 4.277287547429387, 4.086041886095388, 4.338073204787456, 4.353414883512653, 4.608582357972203, 4.559274805042476, 4.795859352895049, 4.875728151316299, 4.708088318781865, 4.873494809585789, 4.710299890676847, 5.089303724707612, 5.023622876125842, 5.179373197921835, 5.621369861739364, 5.724349779123828, 5.626869042804293, 5.7880679569795905, 5.221459128456783, 5.423742299145161, 5.357441606366939, 5.19993369990997, 5.212196439232213, 5.188598447585177, 4.829325503396548, 5.172602255654427, 5.205289936904378, 5.025381468633888, 5.128880290796117, 5.2688759296021255, 5.048293291450772, 5.16751932960916, 4.963780569379058, 4.7177463363493715, 4.758589334822993, 4.899517120096488, 5.009106737288279, 4.883692533364366, 4.950059174462143, 4.904684430019036, 4.524381262052091, 4.918923763705123, 5.134747571553002, 4.758824935620894, 4.676209496408687, 4.839847083492365, 5.250891615617618, 5.018699507645724, 4.975630837340341, 5.25168510719546, 5.459235607983447, 5.199343990949408, 5.631600530029208, 5.557263237246753, 5.545628094966681, 5.573622304263734, 5.684190280024453, 5.984212275381484, 6.087924791686433, 6.1477363593443455, 6.244192618920174, 6.4101245457963065, 6.531246794415349, 6.849940560187384, 6.428142506315757, 6.478952366279904, 6.794263795694895, 6.5121955161403, 6.5262161325583765, 6.653811214445409, 6.391830071423303, 6.602077560080754, 6.804769002161022, 6.979815873837034, 7.27233846994384, 7.424373278877793, 7.498030850752006, 7.827381199771089, 7.679035077379504, 7.668911110346046, 7.484571444412104, 7.440352166906653, 7.728118882399039, 7.519376748680275, 7.664286886476425, 7.658385822068084, 7.838133813406775, 7.570916821946188, 7.736600444955052, 7.984166567367629, 8.082442283021575, 8.21620292337495, 7.942080856240257, 7.844444306429637, 7.284910869282879, 7.290515014261487, 7.539585573262327, 7.381299455061583, 7.246647438601838, 7.245104832384543, 7.464113292531183, 7.454851790416633, 7.2702934460498305, 7.391378547523352, 7.537789324292918, 7.427545732511866, 7.837244858827093, 7.963729361065265, 7.844717145934467, 7.39568209810072, 7.2995735452482755, 7.653600684461256, 7.482881511356895, 7.290827496298815, 7.79761609076735, 7.428745263641629, 7.592234990998553, 7.395727073245757, 7.221459050273985, 7.362371749449153, 7.590512725332599, 7.2402510232815755, 7.619258892184842, 7.458854217421224, 7.3274939655456635, 7.647153503019814, 7.740759433592714, 7.597101318228693, 7.7354878042205515, 7.809230105245432, 8.027198752623919, 8.422890590344842, 8.094189378221582, 8.186137457533603, 7.986804425436653, 8.374959899631598, 8.372028222811256, 8.261887900668016, 8.051807400012903, 8.079713829114539, 8.340318930555638, 8.338558762809134, 8.263891230963825, 8.013880943924152, 8.332257952415116, 8.164451305151358, 8.19574004111484, 8.288975803121465, 8.168205554124716, 8.165273814939686, 8.105395919166131, 8.40823663659639, 7.976319554584103, 8.128318840793467, 7.971430272670595, 8.157439706774493, 7.912226522556203, 7.762146051767644, 8.028762879551245, 7.884328034604752, 8.143969740775972, 7.7433092467873434, 7.847144625002186, 7.965854304442534, 7.958786963659784, 8.060946799557321, 7.910752171427042, 7.841899204411387, 8.02300537085628, 8.250471068845922, 8.226022551264272, 7.993549202235732, 8.298611031260638, 8.257661402984638, 8.376328912643393, 8.20054594042474, 8.33885833538176, 8.480081157909563, 8.515403061062717, 8.521616208555447, 8.302079195012304, 8.509737307532184, 8.510857541220588, 8.482005143334435, 8.351997934008473, 8.375099221770435, 8.50097902103887, 8.40762699050194, 8.143545213320584, 8.018594760093833, 8.004640247739083, 8.084037478119265, 8.031012525314273, 7.962611229610362, 8.189558170650944, 7.927275555555835, 8.285220428587627, 8.202312524395102, 8.21509256346024, 7.849511448955209, 7.8566207345515435, 7.805959696203125, 7.486680835110506, 7.5826164928773965, 7.691160415645821, 7.932862507177245, 8.06685374905212, 7.976840110846916, 8.01270803694351, 8.210266315470452 ]
Is time series 2 a lagged version of time series 1?
[ "Yes", "No, they do not share similar pattern", "No, time series 1 is a lagged version of time series 2" ]
No, they do not share similar pattern
multiple_choice
[ 0, 0.39644352762897955, 0.7750281445885906, 1.1187104850797351, 1.4120410303784026, 1.6418696264328396, 1.7979459986921815, 1.873387841061238, 1.864995103235004, 1.773396124170024, 1.603018938362678, 1.3618890652616662, 1.061263015961731, 0.7151142534589998, 0.33949508060274997, -0.048196404236754725, -0.4300108085878034, -0.7882671226887668, -1.1063601403369487, -1.3695187521008236, -1.56548048268393, -1.6850514690226435, -1.7225263071625234, -1.6759485951891802, -1.5472002742622808, -1.341915687905767, -1.06922428412203, -0.7413337100932349, -0.37297233786376927, 0.019283321378481183, 0.4177656001280418, 0.8045224861233544, 1.1621374187935916, 1.474524633772915, 1.727663735285971, 1.9102399514280435, 2.0141608344474, 2.0349258103988976, 1.971831702317396, 1.8280048414913508, 1.6102583004434792, 1.3287807672159984, 0.9966712688248469, 0.6293409911978729, 0.2438095120827936, -0.14207241485263314, -0.5104380323933113, -0.8442204829673903, -1.1279321836261629, -1.3483720818818314, -1.495228494863698, -1.5615500025447897, -1.544062891232619, -1.4433206509522059, -1.2636786997750666, -1.0130954893327653, -0.7027690742290456, -0.34662574176879124, 0.03931594576545161, 0.437676654649186, 0.8305099242293639, 1.2001217098514938, 1.5298783989598002, 1.804966401513761, 2.0130686272711444, 2.144926957931453, 2.1947650282913993, 2.160552009691586, 2.044095349821652, 1.8509582338286898, 1.5902055359492842, 1.2739898630358872, 0.9169965937105511, 0.5357732559834525, 0.14797386797254633, -0.22844725034509455, -0.5760553789642566, -0.8787315716343886, -1.1224087435287822, -1.2957140586265898, -1.3904882815506037, -1.4021583771440422, -1.3299463426570564, -1.1769047360140117, -0.9497772777280002, -0.6586908922143853, -0.3166932517423229, 0.06084305846164201, 0.4569225445662358, 0.8537029202194063, 1.2333098922526224, 1.578653408008265, 1.8742080895461233, 2.1067222154269225, 2.265822873716457, 2.3444896512981224, 2.339375228001566, 2.2509582352985196, 2.0835213991218784, 1.84495596493787, 1.5464013361943967, 1.2017363824131833, 0.8269456468464278, 0.4393893964538302, 0.05701084809193502, -0.30248322628177604, -0.6224310969140056, -0.8879769506718483, -1.0867492964852445, -1.2094259217581818, -1.2501596004537534, -1.2068451124710928, -1.0812153806094909, -0.8787623349298362, -0.6084861183208619, -0.28248408604672415, 0.08460163198068027, 0.4762527785879489, 0.8748292919387131, 1.2623748564548745, 1.6214368957786514, 1.935863561983463, 2.19154132573077, 2.377039484586794, 2.4841321573874433, 2.508173927261063, 2.448311979197748, 2.3075250446926954, 2.092487375017816, 1.813263954917105, 1.4828508750946772, 1.116581852841719, 0.7314280026266372, 0.34522283331888926, -0.02415213668287397, -0.35958395672546706, -0.645509723767375, -0.8686272777832325, -1.0185026580960463, -1.0880465805411101, -1.0738381766593759, -0.976281211048845, -0.7995856430537027, -0.551575374794948, -0.24333096491935902, 0.111316376102092, 0.49641640191980985, 0.8946282141264542, 1.2880121515834133, 1.6588490228413892, 1.9904492705938641, 2.2679151168661837, 2.478820884824077, 2.6137804296315936, 2.666875766065258, 2.6359273191794834, 2.5225934567584023, 2.3322947583060545, 2.073966478906545, 1.7596505119376444, 1.4039454840650707, 1.0233400944752575, 0.6354601420714965, 0.2582636258837887, -0.09077932476980088, -0.39548424106726976, -0.6416913945051803, -0.8179124149459305, -0.9158549184357105, -0.9308011871430263, -0.8618236086230929, -0.7118270361602371, -0.48741613576128606, -0.1985937775310822, 0.1416957553128304, 0.518157879973057, 0.9138461563666626, 1.3109361631211265, 1.6915394674565105, 2.038520518212369, 2.336279157788386, 2.5714630188153498, 2.733577273255433, 2.8154638891345956, 2.8136285091728097, 2.728400024075389, 2.563915553412679, 2.3279315199512167, 2.031469444914363, 1.6883126392832162, 1.314376775228717, 0.9269830811550211, 0.5440673506231093, 0.18336088654710947, -0.13841921634135357, -0.406333474205951, -0.6079022404538454, -0.7336756011760532, -0.777664914839681, -0.737616289543723, -0.6151135092284188, -0.41550570861061575, -0.1476630996410626, 0.17642809552288652, 0.5422130072413531, 0.9332327809513422, 1.331876187086084, 1.720183855342173, 2.0806684071385866, 2.3971130341056623, 2.6553120547250044, 2.8437196308669077, 2.9539770199410076, 2.9812942851678956, 2.9246690327933376, 2.786932187393373, 2.5746187148954864, 2.2976691968774214, 1.9689758840491502, 1.6037939588362198, 1.2190448923423822, 0.8325437085869722, 0.46218544376198967, 0.12512795165409307, -0.16299162676781798, -0.388770948905649, -0.541654501800843, -0.6144156301038737, -0.6034865484589813, -0.5091212679614077, -0.3353839964887717, -0.08996354261698203, 0.21617780145002996, 0.5693048638275273, 0.9535368231981584, 1.3515724222699566, 1.745480046851889, 2.117516590802649, 2.4509377125722427, 2.730762482167833, 2.9444575001817714, 3.08250924790757, 3.13885853160829, 3.11117718160875, 3.0009743704730827, 2.813527695142639, 2.557642170236692, 2.245248138326053, 1.8908564590056063, 1.51089585609742, 1.1229626836814068, 0.7450173711321669, 0.3945642422964334, 0.08785216318161626, -0.16086747862780593, -0.3399915777206166, -0.44109517817671384, -0.45931620753610436, -0.39357750816053416, -0.2466360267054959, -0.024956915416557646, 0.2615817054608569, 0.6001398418407082, 0.975501976862512, 1.3707719025612806, 1.7681443019639165, 2.1497178465501565, 2.4983126781760405, 2.7982549443371303, 3.036092560190193, 3.2012095113509935, 3.2863106447212944, 3.28775480889131, 3.2057211309305362, 3.0442008363724433, 2.8108149859415437, 2.516466452255911, 2.174842029334389, 1.8017874115715005, 1.4145835843853336, 1.0311576708771681, 0.669264271972752, 0.34567468496003784, 0.07541102556269519, -0.12893977187498074, -0.25780074923021923, -0.3050422658939027, -0.268261914889123, -0.14889423116875244, 0.04785481784612311, 0.31324556793234715, 0.6354037635005008, 0.9998628072546564, 1.3902243917075134, 1.7889073441576604, 2.177950488379896, 2.539832859553723, 2.8582738165010673, 3.1189765133148186, 3.3102807790083872, 3.423695590789764, 3.454286825039719, 3.4009025789610674, 3.266225773362547, 3.0566516344187935, 2.781995649323604, 2.455045332331052, 2.0909762702329315, 1.7066591141349894, 1.3198891644399249, 0.9485737308029396, 0.609914377073927, 0.31962139482164154, 0.09119637728594943, -0.06468434426998626, -0.1406572458167754, -0.1330078731876747, -0.04184046631252292, 0.12892680100203946, 0.3717407483660018, 0.675758112280552, 1.0273407145214075, 1.410678263075328, 1.8085103448074984, 2.202914639348073, 2.576125359629414, 2.911344544174675, 3.19350915267092, 3.4099789346460865, 3.5511136590451207, 3.6107133449432265, 3.5863013898247553, 3.4792376660936144, 3.2946564211511356, 3.041231816895639, 2.7307818155154218, 2.3777285005228337, 1.998439478005435, 1.610480433658381, 1.2318129783237404, 0.8799744132147246, 0.5712768716605299, 0.32006240935725594, 0.1380480601686649, 0.03379076615236354, 0.012296616312966524, 0.07479223858211625, 0.21866878463724726, 0.43760106554797873, 0.7218363978027713, 1.0586399692751414, 1.4328763870515473, 1.8277008501615972, 2.2253283841232334, 2.6078460094433935, 2.9580307555949816, 3.260136165049703, 3.5006113708801445, 3.6687199105395076, 3.7570300170733297, 3.7617539981292976, 3.6829212046855058, 3.524376690708925, 3.2936056249521, 3.0013914732973426, 2.661323561090869, 2.2891765031214986, 1.9021898401891382, 1.51828077837401, 1.1552259820485156, 0.8298497848658744, 0.5572558898753044, 0.35013764394090163, 0.21819838346609433, 0.16770832191206253, 0.20121821428042397, 0.31744287435596164, 0.511319864009927, 0.7742406744587609, 1.0944438423565446, 1.4575520486851286, 1.8472286732881664, 2.2459238228352243, 2.6356757641085737, 2.998931164367345, 3.319346681698318, 3.5825352999358544, 3.7767233260257655, 3.8932880473970775, 3.9271514966846732, 3.8770123421459264, 3.7454053142655237, 3.538585454773658, 3.2662424739609346, 2.9410582604465834, 2.5781277501551942, 2.1942696010949048, 1.8072581526567957, 1.4350117427756905, 1.0947744492551428, 0.8023286218496273, 0.5712741656083857, 0.41240748772128644, 0.3332284688753866, 0.3375979737640853, 0.42556154087127274, 0.5933473029112686, 0.8335382328898084, 1.1354108499987878, 1.485424918004274, 1.8678417735646775, 2.265443047904004, 2.6603169607009187, 3.0346762793043367, 3.3716705903557145, 3.656155790629377, 3.8753856575279833, 4.01959391798062, 4.08244023498995, 4.061299745410219, 3.9573829269265053, 3.775680320390533, 3.524734631822406, 3.2162506212667124, 2.864560593314711, 2.48596989819894, 2.0980123318010975, 1.7186494374711867, 1.3654502743341024, 1.0547891087774266, 0.8010976673351904, 0.6162060975804271, 0.5088027327019056, 0.48403733015078765, 0.5432859028586043, 0.6840878822418159, 0.9002584825068458, 1.1821711350281485, 1.5171970951532483, 1.8902821463539334, 2.2846340659566735, 2.682489458647218, 3.0659249395377866, 3.417675623316172, 3.7219235423590895, 3.9650199899135505, 4.13610880182939, 4.22762211406339, 4.235625956697614, 4.15999990257782, 4.004442566738975, 3.776302705480885, 3.4862436281225078, 3.1477562464046365, 2.776542998623645, 2.3898007822108545, 2.0054356403537246, 1.641245064772145, 1.3141052556057118, 1.0392004529942298, 0.8293295336904838, 0.6943215376577907, 0.640586815210477, 0.6708242920082996, 0.7838982199390321, 0.9748900421825828, 1.235323003987055, 1.553549252082557, 1.915281745454707, 2.304246687243888, 2.702926683821317, 3.0933606939446263, 3.4579642375222877, 3.7803324083392997, 4.045989020371663, 4.243047677180514, 4.362754575995642, 4.399888258802209, 4.352998055400136, 4.224470329697752, 4.020419504036914, 3.7504088380316465, 3.4270137128320233, 3.065247363870159, 2.681875286572335, 2.294649623380402, 1.9214984945584268, 1.5797072927978044, 1.2851293286141208, 1.0514618731975494, 0.8896206589371243, 0.8072414016738987, 0.8083311081629792, 0.8930850921354543, 1.057878055103117, 1.295429639209969, 1.5951368919951623, 1.9435584607344065, 2.3250284051447965, 2.7223715980872387, 3.117688044783382, 3.493170303832701, 3.831916681687276, 4.118703065252969, 4.340678146114863, 4.487950288283374, 4.5540392395634735, 4.5361720586990275, 4.435409744485777, 4.256598784208913, 4.008149833993888, 3.701653637851796, 3.3513517248569675, 2.9734860555954734, 2.5855573169243393, 2.205525735746757, 1.8509909074357767, 1.538388092854041, 1.2822376858642495, 1.094482125140299, 0.9839405308593625, 0.9559059708311408, 1.011903747306095, 1.1496217425351711, 1.3630160039202488, 1.6425867471046116, 1.9758121730486944, 2.347720288403582, 2.7415726164385585, 3.139628576183921, 3.5239556236583596, 3.8772481592772756, 4.183617805223634, 4.429318963980888, 4.603376524678119, 4.698087052414261, 4.709370573254079, 4.636956890284929, 4.484397922426768, 4.258905502531417, 3.9710220418819917, 3.6341391005242523, 3.2638858483940103, 2.877415343768981, 2.492621221848269, 2.1273205641520305, 1.798440263820566, 1.5212440422492655, 1.3086354161105378, 1.1705684454659466, 1.113593171739703, 1.1405565035800664, 1.2504722099519872, 1.438565957355538, 1.6964933345010236, 2.0127209081273922, 2.3730529086723346, 2.7612794941704775, 3.1599169887652803, 3.5510062921097245, 3.91693299949729, 4.241231781125147, 4.5093382877115715, 4.70925424595281, 4.832095371574562, 4.8724970789859565, 4.828859460401715, 4.703420347218203, 4.502153117222903, 4.23449391437274, 3.9129107379202797, 3.5523340788608824, 3.1694751042512896, 2.7820625251901636, 2.408032997640118, 2.0647120272418134, 1.7680227829130708, 1.5317589495460489, 1.3669548257043338, 1.2813814314339496, 1.2791916369247505, 1.3607305175739035, 1.522519595775579, 1.757415689051239, 2.0549371105628156, 2.401742325739344, 2.78223920668663, 3.179297062173847, 3.575028927640541, 3.9516083911758964, 4.292083654300927, 4.581151652660674, 4.805856885637442, 4.95618304213725, 5.025510405371323, 5.0109181487894, 4.913317718521399, 4.7374112112858535, 4.491476648479062, 4.186989952117079, 3.838100885473594, 3.4609868901045315, 3.073114326932991, 2.692440857552328, 2.33659538979704, 2.0220730361800854, 1.763481848218236, 1.5728757252694383, 1.4592039612624803, 1.4279025663124223, 1.4806460259268703, 1.6152708339642174, 1.8258742912876367, 2.1030840583761545, 2.4344861525054546, 2.805191844582622, 3.198517567728553, 3.596746788908148, 3.9819390519848943, 4.3367492464455095, 4.645219689076433, 4.893508847396843, 5.070523426968614, 5.1684249576906724, 5.182987745311232, 5.113791841947336, 4.964242223421515, 4.7414132976633, 4.455725844854025, 4.120471142163227, 3.7512040043928696, 3.3650324579303303, 2.9798364857536837, 2.613451520273549, 2.2828539706207986, 2.003385978084438, 1.788054802011377, 1.6469388304064598, 1.5867273403471411, 1.61041502551058, 1.7171652405163855, 1.9023482071677944, 2.1577524378653825, 2.471959721333402, 2.8308665465635596, 3.2183281536349604, 3.616895800189617, 4.0086135755606245, 4.375838375242974, 4.702045590761528, 4.972583722308018, 5.175343454012863, 5.301310637865773, 5.344977933725978, 5.304596307472478, 5.182254902382194, 4.983785636329851, 4.718496881473553, 4.398748388207, 4.03938686489793, 3.6570679882238513, 3.269495805175267, 2.8946142601894707, 2.5497877671282057, 2.2510082460951386, 2.0121648365415954, 1.8444096359363356, 1.7556484281730504, 1.7501796581067957, 1.8284981388060229, 1.9872724554229688, 2.219497097557257, 2.514812372837135, 2.8599774925474453, 3.2394752253804637, 3.636220507195009, 4.032340647417358, 4.409991503184995, 4.752172349829769, 5.043502235833648, 5.270922369235935, 5.4242924603218, 5.4968537880102835, 5.485537843556475, 5.391106457047145, 5.218117007674132, 4.974714306493011, 4.67225865554726, 4.324807068407025, 3.948471342700854, 3.560682298895657, 3.1793937845902387, 2.8222627942555016, 2.5058431450682197, 2.244829530429196, 2.0513864722136423, 1.9345928158131775, 1.9000271356556993, 1.949512984070721, 2.0810356169633035, 2.288833999101739, 2.563663887505766, 2.8932199789718367, 3.262697843949734, 3.6554699855026924, 4.053845150448369, 4.439876217983149, 4.796179772756168, 5.106729935774168, 5.357590202061656, 5.537549864985017, 5.638635964290612, 5.65647737924346, 5.590504440191351, 5.443974943094602, 5.223825379041947, 4.940354172504788, 4.606751393568337, 4.238496420297655, 3.8526510575842474, 3.4670803929018934, 3.0996369693659944, 2.767345531644535, 2.4856255741052173, 2.267587194310772, 2.123432407409233, 2.0599892609927837, 2.080400025531701, 2.183977699476335, 2.366237381864382, 2.6191010797719576, 2.9312665978731696, 3.2887236644005085, 3.6753937241020864, 4.073864181416059, 4.4661835639182454, 4.834681294117452, 5.162774633903835, 5.435725951733442, 5.641315731191508, 5.770400587329882, 5.817330808410408, 5.780208355595346, 5.6609735387737254, 5.465316410385503, 5.202416923532906, 4.8845257203164065, 4.526404694111212, 4.144652873064103, 3.756948409008056, 3.3812412871235793, 3.0349336220605965, 2.734084973111285, 2.4926789685057207, 2.321984729157592, 2.230042253080067, 2.221295260901324, 2.2963882689543054, 2.452137156799065, 2.6816745732410405, 2.974763540735197, 3.3182649371198005, 3.696737506663036, 4.093143000322225, 4.489624244286804, 4.86832060553368, 5.212183615349941, 5.505755504567761, 5.735875097925798, 5.892278832192703, 5.9680694519625375, 5.960030979664287, 5.868775576367793, 5.698715586841143, 5.457862045450252, 5.157458844328227, 4.811469269888101, 4.435938355498424, 4.048260169118887, 3.666383495934039, 3.307992189273417, 2.989697619908866, 2.7262801013310827, 2.530013932072882, 2.410106877692003, 2.372279689023385, 2.4185048584178146, 2.546916543922161, 2.7518957748030024, 3.024327047418657, 3.352014593734664, 3.7202393131686424, 4.112430934918171, 4.510924715813248, 4.897768118335582, 5.25554063105123, 5.568149293545398, 5.82156359742218, 6.004456203387972, 6.10872021543595, 6.1298393902934984, 6.067094376151095, 5.923595562576196, 5.706141041488397, 5.424906165548782, 5.09297888058759, 4.725762051575556, 4.3402700755168615, 3.9543519021331672, 3.5858759438694214, 3.251914097116101, 2.96796213712638, 2.7472320880687238, 2.600048882838024, 2.533378864753404, 2.5505116625806643, 2.6509099663714912, 2.8302340642553463, 3.080540019686615, 3.390642439186544, 3.746625264431783, 4.1324772628608795, 4.530823196491444, 4.923717279396867, 5.293462689821839, 5.623419713101557, 5.898765610736678, 6.1071715154503945, 6.2393654411414055, 6.2895556973264615, 6.255695372431124, 6.139575808037197, 5.9467447954924255, 5.686253230515864, 5.370241795066967, 5.0133865410612914, 4.632228693902533, 4.244419281017039, 3.867913080177561, 3.520148696767175, 3.2172522125663354, 2.973300772233132, 2.7996797365287027, 2.7045627585248706, 2.692538525629177, 2.7644012126226203, 2.917114214880665, 3.143948817935409, 3.434791470896113, 3.7766056317824166, 4.1540270941449915, 4.550065608793317, 4.946880760377322, 5.326596667651267, 5.6721183033216915, 5.967912155425672, 6.200715580562918, 6.360142455661659, 6.439157470591168, 6.43439740257713, 6.346324701105845, 6.179206369709576, 5.9409191090178, 5.642589619410066, 5.298086489206053, 4.923386871823823, 4.535846873220796, 4.153408968099437, 3.793782639002554, 3.473635655226439, 3.2078329226033837, 3.0087576628315116, 2.885745921373256, 2.844660227678533, 2.8876218769623136, 3.012914059154483, 3.2150602587346224, 3.485074345245502, 3.810870933853853, 4.177817276436655, 4.56940148053844, 4.9679865413185995, 5.355615752872347, 5.71483271901686, 6.029478516938741, 6.285429610432109, 6.471242815189232, 6.578677863162498, 6.603073702578333, 6.543561349490012, 6.403103570791412, 6.188359586528051, 5.909380970008296, 5.579152632737913, 5.212999855556258, 4.8278884444850885, 4.441649970368467, 4.0721674725020245, 3.7365588119055557, 3.4503949672200087, 3.226988970522365, 3.076787954510842, 3.006896073827329, 3.020750086788982, 3.1179624124106713, 3.294338829675177, 3.5420700107962215, 3.8500881419178907, 4.204572345813068, 4.58957982595086, 4.98777391011404, 5.381215746732851, 5.752183500335232, 6.083981636742726, 6.3617033411988055, 6.572911252851489, 6.708205429173343, 6.761652603660838, 6.731057134334664, 6.618061269908572, 6.428070154872887, 6.170004998209908, 5.855895677536674, 5.500331382810774, 5.119794386499866, 4.731907364260499, 4.354628637973552, 4.005432091162895, 3.7005092067713736, 3.4540296670316755, 3.2774942808720438, 3.1792097880686327, 3.163909523734217, 3.2325372658749956, 3.382204136831925, 3.606320526744513, 3.8948970146212964, 4.235000545158419, 4.611345029538219, 5.00698939983803, 5.404111239700466, 5.784820662655192, 6.131977271529853, 6.429972891688343, 6.665444333808193, 6.827883637175685, 6.910117926135076, 6.908636966570271, 6.823753464227616, 6.659588784697748, 6.423884747167885, 6.1276500865695445, 5.7846577287777965, 5.410815836289885, 5.023441346205292, 4.640469175115663, 4.279633203349249, 3.9576564397347083, 3.6894873488156126, 3.4876172143890005, 3.3615097126406006, 3.3171687439847473, 3.3568642589964766, 3.479028598866937, 3.6783280840978914, 3.9459065822665687, 4.269789932097294, 4.635432755413467, 5.026382686260046, 5.425031684513723, 5.813420124501562, 6.174056939121296, 6.490718366770272, 6.749188825512047, 6.93791008172573, 7.048509068309403, 7.07618024909448, 7.019905068421746, 6.882498464495713, 6.670480322439365, 6.393777737272976, 6.065271683272828, 5.7002087915043615, 5.315505097291018, 4.9289735526819225, 4.558510580327649, 4.221278815587876, 3.932923357764259, 3.7068573211217286, 3.5536493117210193, 3.4805408015398616, 3.4911154394720505, 3.5851354004460605, 3.7585522459428446, 4.003691799956517, 4.309604597853766, 4.662565904537452, 5.046702468088437, 5.4447173875593045, 5.838679993113688, 6.210844667849526, 6.544461218997554, 6.824539792088403, 7.038535397526067, 7.176920789981272, 7.233621539499499, 7.2062934263704115, 7.096429492246068, 6.909291858912949, 6.65367142828099, 6.341486437128013, 5.987238198995421, 5.607348887320989, 5.219411600599885, 4.841386956090557, 4.490782900412191, 4.183855191796393, 3.9348650647625396, 3.7554279766979803, 3.6539831764746595, 3.6354083177783894, 3.7007967162150477, 3.847407421968998, 4.068790387995204 ]
[ -1.6975749004900154, -1.5806308885158473, -1.4636818819392121, -1.346727869597869, -1.229768840304631, -1.1128047828473095, -0.9958356859886572, -0.8788615384663152, -0.7618823289927532, -0.6448980462552147, -0.5279086789156617, -0.4109142156107166, -0.2939146449516068, -0.17690995552410715, -0.05990013588848253, 0.057114825420566895, 0.17413493989396556, 0.29116021904831824, 0.4081906744259669, 0.5252263175950505, 0.6422671601495602, 0.7593132137093979, 0.876364489920435, 0.9934210004545692, 1.1104827570097846, 1.2275497713102068, 1.3446220551061638, 1.4616996201742452, 1.5787824783173585, 1.6958706413647882, 1.8129641211722576, 1.9300629296219847, 2.0471670786227425, 2.164276580109919, 2.281391446045576, 2.398511688418509, 2.515637319244305, 2.6327683505654083, 2.7499047944511705, 2.8670466629979225, 2.9841939683290253, 3.101346722594935, 3.21850493797326, 3.3356686266688285, 3.4528378009137417, 3.570012472967437, 3.6871926551167524, 3.8043783596759853, -1.47358020199308, -1.356383415560982, -1.239181069610708, -1.1219731517175093, -1.0047596494288697, -0.8875405502644431, -0.7703158417159917, -0.6530855112473231, -0.5358495462942288, -0.41860793426442067, -0.30136066253746896, -0.18410771846473883, -0.06684908936932743, 0.05041523745399945, 0.16768527473886974, 0.28496103524736993, 0.40224253177010794, 0.5195297771262757, 0.6368227841637171, 0.7541215657589857, 0.8714261348174142, 0.9887365042731775, 1.1060526870893552, 1.2233746962579986, 1.3407025448001932, 1.4580362457661271, 1.5753758122351509, 1.692721257315847, 1.8100725941460953, 1.927429835893134, 2.04479299575363, 2.1621620869537432, 2.2795371227491907, 2.3969181164253164, 2.514305081297153, 2.6316980307094915, 2.7490969780369454, 2.8665019366840205, 2.9839129200851806, 3.101329941704909, 3.2187530150377848, 3.3361821536085445, 3.4536173709721494, 3.571058680713854, 3.688506096449277, 3.8059596318244617, 3.9234193005159517, -1.3542646847491755, -1.2367927082731183, -1.1193145572674634, -1.0018302179329974, -0.8843396764396672, -0.7668429189265118, -0.6493399315015924, -0.5318307002419238, -0.4143152111934054, -0.2967934503707499, -0.1792654037574164, -0.06173105730553741, 0.05580960306414795, 0.17335659146236737, 0.2909099220313829, 0.40846960894506323, 0.5260356664089532, 0.6436081086603453, 0.7611869499683506, 0.8787722046339692, 0.9963638869901619, 1.1139620114019229, 1.2315665922663477, 1.3491776440127106, 1.4667951811025295, 1.584419218029645, 1.7020497693202878, 1.8196868495331542, 1.9373304732594747, 2.0549806551230905, 2.1726374097805268, 2.29030075192106, 2.407970696266799, 2.5256472575727527, 2.643330450626905, 2.761020290250289, 2.8787167912970637, 2.996419968654581, 3.114129837243464, 3.231846412017686, 3.349569707964635, 3.4672997401051964, 3.585036523493825, 3.7027800732186207, 3.820530404401402, 3.9382875321977817, 4.056051471797247, -1.2213275625568043, -1.1035499536468554, -0.9857654871613857, -0.8679741477746694, -0.7501759201267291, -0.6323707888232608, -0.514558738435555, -0.3967397535004227, -0.27891381852011565, -0.16108091796225166, -0.04324103625973463, 0.07460584218932165, 0.19245973302167085, 0.31032065190901337, 0.42818861455807333, 0.5460636367106764, 0.6639457341438308, 0.7818349226698025, 0.8997312181361967, 1.0176346364260354, 1.1355451934578367, 1.253462905185695, 1.3713877875993592, 1.4893198567243136, 1.6072591286218565, 1.725205619389183, 1.8431593451594597, 1.9611203221019116, 2.079088566421899, 2.1970640943609974, 2.315046922197082, 2.433037066244406, 2.5510345428536816, 2.6690393684121636, 2.787051559343732, 2.9050711321089673, 3.0230981032052404, 3.1411324891667913, 3.2591743065648116, 3.3772235720075257, 3.4952803021402765, 3.613344513645607, 3.7314162232433423, 3.849495447690675, 3.9675822037822472, 4.085676508350235, 4.203778378264433, -1.073261970547697, -0.9551449191808103, -0.8370202516317873, -0.7188879508795212, -0.6007479998648659, -0.48260038149055084, -0.36444507862109465, -0.2462820740827214, -0.12811135066327317, -0.009932891112125919, 0.10825332185989733, 0.226447305580612, 0.34464907741655937, 0.4628586547730926, 0.5810760550944627, 0.6993012958639064, 0.8175343946037341, 0.935775368875414, 1.0540242362796637, 1.1722810144565357, 1.2905457210855034, 1.4088183738855542, 1.5270989906152737, 1.6453875890729357, 1.7636841870965896, 1.881988802564152, 2.0003014533934937, 2.118622157542528, 2.236950933009304, 2.355287797832092, 2.473632770089477, 2.591985867900445, 2.710347109424477, 2.8287165128616376, 2.947094096452666, 3.065479878479067, 3.183873877263202, 3.3022761111683785, 3.4206865985989463, 3.539105358000386, 3.6575324078593985, 3.7759677667040035, 3.8944114531036265, 4.012863485669193, 4.13132388305322, 4.249792663949912, 4.368269847095255, -0.9083943497129283, -0.7899003056947553, -0.6713978029683754, -0.5528868226297534, -0.43436734573260694, -0.3158393532883106, -0.19730282626580298, -0.07875774559149051, 0.039795907850847634, 0.1583581532201539, 0.27692900971818823, 0.3955084965896247, 0.5140966331221448, 0.6326934386465375, 0.7512989325367918, 0.8699131342101949, 0.9885360631274303, 1.1071677387926717, 1.225808180753683, 1.3444574086019143, 1.4631154419725996, 1.5817823005448564, 1.7004580040417798, 1.8191425722305445, 1.937836024922503, 2.056538381973283, 2.1752496632828846, 2.293969888795784, 2.4126990785010305, 2.5314372524323456, 2.6501844306682223, 2.7689406333320288, 2.8877058805921028, 3.006480192661858, 3.1252635897998826, 3.2440560923100374, 3.362857720541561, 3.4816684948891714, 3.600488435793163, 3.719317563739512, 3.8381558992599794, 3.957003462932212, 4.075860275379841, 4.194726357272593, 4.313601729326388, 4.432486412303441, 4.551380427012369, -0.7248660066717398, -0.6059532658870923, -0.4870311306652777, -0.3680995800110374, -0.24915859288219155, -0.1302081481895334, -0.011248224796726047, 0.10772119847980721, 0.22670014287098206, 0.3456886296551638, 0.46468668015827186, 0.5836943157538863, 0.7027115578633536, 0.8217384279558948, 0.9407749475487108, 1.0598211382070903, 1.178877021544519, 1.297942619222784, 1.4170179529520839, 1.5361030444911372, 1.6551979156472894, 1.7743025882766232, 1.8934170842840656, 2.012541425623499, 2.131675634297868, 2.250819732359293, 2.369973741909177, 2.4891376850983153, 2.608311584127009, 2.7274954612451734, 2.8466893387524466, 2.9658932389983073, 3.0851071843821796, 3.2043311973535493, 3.3235653004120707, 3.442809516107683, 3.5620638670407234, 3.6813283758620345, 3.8006030652730827, 3.9198879580260684, 4.039183076924039, 4.158488444821004, 4.277804084622051, 4.397130019283452, 4.516466271812787, 4.635812865269056, 4.755169822762786, -0.5206126335238679, -0.4012348784169033, -0.2818466896305254, -0.1624480438469149, -0.04303891769613788, 0.07638071224396592, 0.19581086944790282, 0.31525157744264165, 0.43470285980772894, 0.554164740175412, 0.6736372422307488, 0.7931203897117329, 0.9126142064094076, 1.032118716167986, 1.1516339428849705, 1.2711599105112705, 1.3906966430513221, 1.5102441645632085, 1.6298024991587785, 1.74937167100377, 1.8689517043179236, 1.9885426233751113, 2.108144452503453, 2.2277572160854384, 2.3473809385580484, 2.4670156444128764, 2.5866613581962525, 2.7063181045093634, 2.8259859080083785, 2.9456647934045654, 3.0653547854644234, 3.185055909009798, 3.3047681889180076, 3.4244916501219715, 3.5442263176103284, 3.6639722164275614, 3.783729371674127, 3.9034978085065783, 4.023277552137687, 4.143068627836573, 4.262871060928832, 4.382684876796654, 4.5025101008789585, 4.622346758671515, 4.742194875727074, 4.862054477655493, 4.981925590123861, -0.29334156212339657, -0.1734473513442749, -0.053541552679241544, 0.0663758597690145, 0.18630491195568188, 0.306245629893954, 0.4261980396551617, 0.5461621673689008, 0.6661380392231631, 0.7861256814644662, 0.906125120397987, 1.026136382387689, 1.1461594938564565, 1.266194481286225, 1.3862413712181125, 1.5063001902525541, 1.626370965049433, 1.7464537223282122, 1.8665484888680708, 1.9866552915080344, 2.1067741571471097, 2.2269051127444213, 2.3470481853193403, 2.4672034019516254, 2.5873707897815525, 2.7075503760100537, 2.8277421878988513, 2.9479462527705924, 3.068162598008988, 3.188391251058947, 3.3086322394267142, 3.428885590680007, 3.5491513324481527, 3.6694294924222266, 3.7897200983551884, 3.910023178062023, 4.030338759419879, 4.150666870368205, 4.27100753890889, 4.391360793106404, 4.511726661087938, 4.6321051710435395, 4.752496351226265, 4.872900229952304, 4.9933168356011315, 5.11374619661565, 5.234188341502325, -0.04050650214870277, 0.07996129625665427, 0.2004419644363824, 0.32093553115263473, 0.44144202523184406, 0.5619614755648663, 0.6824939111071238, 0.8030393608787503, 0.9235978539647371, 1.044169419515075, 1.1647540867449004, 1.2853518849346428, 1.4059628434301685, 1.5265869916429284, 1.6472243590501034, 1.767874975194752, 1.8885388696859573, 2.009216072198974, 2.1299066124753776, 2.2506105203232125, 2.371327825617138, 2.492058558298581, 2.612802748375882, 2.7335604259244466, 2.8543316210868945, 2.975116364073211, 3.095914685160894, 3.2167266146951112, 3.337552183088843, 3.4583914208230415, 3.57924435844678, 3.700111026577402, 3.82099145590068, 3.9418856771709607, 4.062793721211327, 4.1837156189137445, 4.304651401239216, 4.425601099217944, 4.546564743949472, 4.667542366602852, 4.788533998416794, 4.909539670699817, 5.030559414830417, 5.151593262257212, 5.272641244499105, 5.393703393145439, 5.514779739856156, 0.24072051538192119, 0.36182535348440537, 0.4829444850562612, 0.604077942041402, 0.7252257564551301, 0.846387960384301, 0.9675645859874749, 1.0887556654950865, 1.2099612312095986, 1.3311813155056662, 1.4524159508302976, 1.5736651697030137, 1.6949290047160142, 1.8162074885343373, 1.9375006538960218, 2.0588085336122743, 2.180131160567625, 2.301468567720101, 2.422820788101385, 2.5441878548169794, 2.665569801046374, 2.786966660043209, 2.9083784651354434, 3.0298052497255203, 3.151247047290528, 3.2727038913823767, 3.3941758156279582, 3.515662853729315, 3.6371650394638104, 3.758682406684295, 3.8802149893192754, 4.001762821373083, 4.1233259369260455, 4.244904370134655, 4.36649815523174, 4.488107326526633, 4.609731918405339, 4.73137196533072, 4.85302750184265, 4.9746985625582, 5.096385182171801, 5.218087395455424, 5.33980523725875, 5.461538742509344, 5.583287946212827, 5.705052883453058, 5.826833589392297, 0.5534802982913622, 0.6752926474299192, 0.797120871226475, 0.9189650051586806, 1.0408250847834717, 1.1627011457372518, 1.2845932237360649, 1.4065013545757759, 1.5284255741322488, 1.650365918361524, 1.7723224233000003, 1.8942951250646118, 2.016284059853009, 2.138289263943739, 2.2603107736964274, 2.3823486255519573, 2.504402856032652, 2.6264735017424585, 2.7485605993671274, 2.870664185674397, 2.992784297514176, 3.1149209718187287, 3.237074245602857, 3.359244155964086, 3.4814307400828475, 3.603634035222668, 3.7258540787303533, 3.848090908036172, 3.9703445606540444, 4.092615074181731, 4.214902486301016, 4.3372068347779, 4.459528157462781, 4.581866492290651, 4.704221877281281, 4.826594350539407, 4.948983950254931, 5.0713907147030985, 5.193814682244696, 5.316255891326241, 5.4387143804801745, 5.561190188325051, 5.683683353565734, 5.806193914993587, 5.92872191148666, 6.051267382009901, 6.173830365615332, 0.9012611004622206, 1.0238592277374008, 1.146474985775277, 1.2691084139781492, 1.3917595518363757, 1.5144284389285683, 1.6371151149217942, 1.7598196195717686, 1.8825419927230567, 2.0052822743092715, 2.1280405043532684, 2.2508167229673535, 2.373610970353474, 2.4964232868034237, 2.619253712699047, 2.742102288512429, 2.86496905480611, 2.987854052233281, 3.110757321537984, 3.2336789035553215, 3.356618839211656, 3.4795771695248137, 3.602553935604292, 3.72554917865146, 3.848562939959768, 3.971595260914949, 4.0946461829952305, 4.2177157477715355, 4.3408039969076935, 4.463910972160647, 4.587036715380657, 4.710181268511519, 4.833344673590764, 4.956526972749867, 5.079728208214468, 5.202948422304574, 5.326187657434765, 5.449445956114421, 5.5727233609479185, 5.69601991463485, 5.819335659970236, 5.942670639844739, 6.066024897244874, 6.189398475253224, 6.312791417048662, 6.436203765906552, 6.559635565198977, 1.2879370574149185, 1.4114078880805958, 1.5348982998795044, 1.658408336572748, 1.7819380420192328, 1.905487460175884, 2.0290566350978616, 2.152645610938786, 2.276254431950952, 2.399883142485554, 2.523531786992905, 2.6472004100226574, 2.7708890562240267, 2.894597770346012, 3.018326597237621, 3.1420755818480943, 3.2658447692271233, 3.3896342045250845, 3.5134439329932556, 3.637273999984045, 3.761124450951221, 3.884995331450128, 4.008886687137927, 4.132798563773812, 4.256731007219244, 4.38068406343818, 4.504657778497295, 4.628652198566222, 4.752667369917772, 4.876703338928172, 5.000760152077296, 5.124837855948888, 5.248936497230805, 5.373056122715241, 5.4971967792989656, 5.62135851398356, 5.745541373875642, 5.869745406187109, 5.993970658235367, 6.118217177443574, 6.2424850113408725, 6.366774207562622, 6.491084813850643, 6.61541687805345, 6.739770448126497, 6.864145572132408, 6.988542298241219, 1.7178108737505928, 1.8422509490061754, 1.9667127715216557, 2.091196389899133, 2.21570185284932, 2.340229209191797, 2.464778507855246, 2.5893497978776976, 2.7139431284067776, 2.8385585486999476, 2.963196108124755, 3.0878558561590728, 3.2125378423913564, 3.33724211652088, 3.461968728357988, 3.5867177278243485, 3.7114891649531927, 3.8362830898895717, 3.9610995528906052, 4.085938604325728, 4.210800294676942, 4.335684674539074, 4.46059179462002, 4.585521705741003, 4.710474458836822, 4.835450104956111, 4.9604486952615865, 5.085470281030311, 5.2105149136539435, 5.335582644638991, 5.460673525607078, 5.58578760829519, 5.710924944555941, 5.836085586357828, 5.961269585785487, 6.086476995039963, 6.211707866438952, 6.336962252417084, 6.46224020552617, 6.587541778435462, 6.712867023931924, 6.838215994920493, 6.963588744424337, 7.088985325585129, 7.2144057916632995, 7.3398501960383165, 7.465318592208939, 2.1956612328134533, 2.3211777735500783, 2.4467184672970266, 2.5722833680329154, 2.697872529856993, 2.823486006989412, 2.9491238537715017, 3.074786124666032, 3.2004728742574953, 3.32618415725237, 3.4519200284793934, 3.5776805428898424, 3.7034657555577986, 3.8292757216804274, 3.9551104965782544, 4.080970135695435, 4.206854694600038, 4.332764228984315, 4.458698794664988, 4.584658447583516, 4.710643243806382, 4.83665323952537, 4.962688491057845, 5.08874905484703, 5.214834987462297, 5.340946345599436, 5.467083186080949, 5.593245565856325, 5.71943354200233, 5.845647171723288, 5.9718865123513645, 6.098151621346858, 6.224442556298479, 6.350759374923644, 6.47710213506876, 6.603470894709506, 6.72986571195114, 6.8562866450287645, 6.982733752307639, 7.10920709228346, 7.2357067235826475, 7.3622327049626515, 7.488785095312228, 7.615363953651751, 7.7419693391334885, 7.868601311041909, 7.995259928793976, 2.7267954509594046, 2.8535075391810922, 2.980246452295228, 3.107012250251708, 3.233804993134413, 3.3606247411614976, 3.4874715546856994, 3.614345494194637, 3.741246620311105, 3.868174993793388, 3.9951306755355516, 4.122113726567753, 4.249124208056546, 4.376162181305179, 4.503227707753906, 4.630320848980293, 4.757441666699522, 4.884590222764699, 5.011766579167164, 5.138970798036802, 5.266202941642341, 5.39346307239168, 5.520751252832189, 5.648067545651017, 5.775412013675418, 5.902784719873051, 6.0301857273523, 6.157615099362589, 6.285072899294692, 6.412559190681058, 6.540074037196115, 6.667617502656604, 6.7951896510218806, 6.922790546394238, 7.05042025301924, 7.178078835286017, 7.305766357727611, 7.433482885021283, 7.561228481988834, 7.689003213596938, 7.816807144957459, 7.944640341327778, 8.072502868111116, 8.200394790856858, 8.328316175260891, 8.456267087165914, 8.58424759256178, 3.3171079566057906, 3.4451478475431427, 3.5732175308270855, 3.70131707303936, 3.829446540910515, 3.957606001320231, 4.085795521297652, 4.214015168021728, 4.342265008821539, 4.470545111176642, 4.598855542717397, 4.727196371225309, 4.8555676646333685, 4.983969491026382, 5.112401918641319, 5.24086501586765, 5.369358851247683, 5.497883493476912, 5.6264390114043525, 5.755025474032893, 5.883642950519629, 6.012291510176212, 6.140971222469203, 6.269682157020398, 6.3984243836072014, 6.527197972162954, 6.656002992777287, 6.784839515696476, 6.9137076113237805, 7.042607350219809, 7.1715388031028615, 7.300502040849278, 7.429497134493806, 7.558524155229936, 7.687583174410275, 7.816674263546888, 7.945797494311662, 8.074952938536654, 8.204140668214471, 8.333360755498596, 8.462613272703774, 8.591898292306361, 8.721215886944691, 8.850566129419434, 8.97994909269395, 9.109364849894677, 9.238813474311467, 3.9731452384179424, 4.102659817791975, 4.232207485235865, 4.361788314696845, 4.491402380287401, 4.621049756285652, 4.750730517135727, 4.880444737448112, 5.010192492000051, 5.139973855735897, 5.269788903767494, 5.399637711374555, 5.529520354005025, 5.659436907275474, 5.789387446971453, 5.919372049047896, 6.049390789629475, 6.179443745010997, 6.309530991657775, 6.439652606206009, 6.569808665463171, 6.699999246408392, 6.830224426192835, 6.960484282140087, 7.090778891746542, 7.221108332681788, 7.351472682788996, 7.4818720200853, 7.612306422762199, 7.74277596918593, 7.873280737897874, 8.003820807614943, 8.134396257229962, 8.265007165812083, 8.39565361260715, 8.526335677038125, 8.65705343870546, 8.787806977387511, 8.918596373040922, 9.049421705801025, 9.180283055982255, 9.311180504078528, 9.44211413076366, 9.573084016891753, 9.704090243497618, 9.835132891797155, 9.966212043187785, 4.702177978268795, 4.833330380761893, 4.964519531631415, 5.095745513004866, 5.227008407193294, 5.358308296691698, 5.48964526417944, 5.621019392520669, 5.752430764764712, 5.883879464146505, 6.015365574087005, 6.146889178193598, 6.278450360260521, 6.41004920426929, 6.5416857943890925, 6.673360214977233, 6.805072550579533, 6.936822885930779, 7.06861130595511, 7.200437895766466, 7.33230274066901, 7.4642059261575415, 7.596147537917925, 7.728127661827532, 7.860146383955653, 7.992203790563927, 8.12429996810678, 8.25643500323185, 8.388608982780427, 8.520821993787864, 8.653074123484048, 8.785365459293791, 8.917696088837296, 9.050066099930593, 9.182475580585955, 9.314924619012356, 9.447413303615905, 9.57994172300029, 9.712509965967211, 9.845118121516823, 9.977766278848197, 10.110454527359742, 10.243182956649658, 10.375951656516392, 10.508760716959078, 10.641610228177974, 10.774500280574934, 5.512281163773819, 5.6452525705410626, 5.778264790905939, 5.911317916081163, 6.044412037483291, 6.17754724673317, 6.310723635656427, 6.443941296283892, 6.57720032085208, 6.7105008018036285, 6.843842831787791, 6.977226503660866, 7.110651910486669, 7.244119145537016, 7.377628302292157, 7.511179474441265, 7.644772755882896, 7.7784082407254544, 7.912086023287662, 8.045806198099026, 8.179568859900328, 8.313374103644069, 8.447222024494957, 8.581112717830392, 8.715046279240909, 8.84902280453069, 8.983042389718024, 9.117105131035782, 9.25121112493191, 9.385360468069884, 9.519553257329234, 9.653789589805989, 9.788069562813167, 9.922393273881287, 10.05676082075882, 10.191172301412688, 10.32562781402877, 10.460127457012366, 10.594671328988706, 10.729259528803418, 10.86389215552306, 10.998569308435568, 11.133291087050782, 11.26805759110094, 11.402868920541154, 11.537725175549923, 11.672626456529649, 6.412423063127067, 6.547414698153899, 6.682451661707163, 6.8175340550898085, 6.952661979831175, 7.0878355376875035, 7.223054830642458, 7.358319960907609, 7.493631030922959, 7.62898814335746, 7.764391401109498, 7.899840907307436, 8.035336765310102, 8.170879078707333, 8.306467951320464, 8.442103487202852, 8.577785790640412, 8.713514966152111, 8.849291118490509, 8.985114352642274, 9.120984773828695, 9.256902487506231, 9.392867599367003, 9.528880215339358, 9.664940441588364, 9.801048384516358, 9.93720415076348, 10.073407847208179, 10.20965958096777, 10.345959459398971, 10.482307590098412, 10.618704080903193, 10.755149039891407, 10.891642575382708, 11.028184795938806, 11.164775810364038 ]
96
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Focus on the time delay between the two time series. If time series 2 is a lagged version, then it should look the same to time series 1 after being shifted by a certain number of steps. Can you check this?
Causality Analysis
Granger Causality
409
null
The given time series has a trend and a cyclic component. It also has an anomaly. What is the most likely combination of components without the anomaly?
[ "Log trend and sawtooth wave", "Linear trend and sine wave", "Exponential trend and square wave" ]
Log trend and sawtooth wave
multiple_choice
null
null
70
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave", "Exponential Trend", "Square Wave", "Log Trend", "Sawtooth Wave", "Cutoff Anomaly", "Flip Anomaly" ]
The anomaly only influences a small part of the time series. You should focus on the overall pattern of the time series without the anomaly. Can you recover the original pattern?
Anolmaly Detection
General Anomaly Detection
410
[ -2.5425406933718913, -2.0606739487388457, -1.5788774285417606, -1.0971499704296281, -0.6154904406734827, -0.13389773323431725, 0.34762923113136573, 0.8290915057301748, 1.3104901187563314, 1.791826074083669, 2.2731003520266557, -2.33076747667191, -1.8496137031624504, -1.368518800274872, -0.8874818748926568, -0.40650205407036216, 0.07442151556926213, 0.555289668415802, 1.0361032204303329, 1.5168629696841476, 1.9975696968779355, 2.478224165842264, -2.1262542627236134, -1.6457020838111776, -1.1651999681162912, -0.6847472146307485, -0.204343136967792, 0.2760129370417062, 0.7563216657392197, 1.2365836940152664, 1.7167996536733618, 2.1969701637817445, 2.6770958310133723, -1.9279041367691447, -1.4478663832205196, -0.967871723667987, -0.4879195978386745, -0.008009456315494101, 0.47185923974151595, 0.9516870188649598, 1.431474399541309, 1.9112218904639064, 2.39092999077805, -2.21448219642532, -1.7348514169043607, -1.2552585855059595, -0.7757032389743457, -0.2961849224851774, 0.18329681055783187, 0.6627423987201915, 1.1421522727280364, 1.6215268556538576, 2.1008665630967687, 2.5801718033574934, -2.0256384091355226, -1.5464009066859932, -1.0671966886322592, -0.5880253742164998, -0.10888658917729, 0.3702200343973516, 0.8492948582127828, 1.328338237906561, 1.807350523183414, 2.2863320579464683, 2.7652831804248845, -1.8408771634458019, -1.36198587292778, -0.8831240128261734, -0.40429126639957547, 0.07451267800743805, 0.553288127072618, 1.0320353826014865, 1.510754741629997, 1.9894464965245104, 2.4681109350791655, 2.94674834061072, -1.6597223946928323, -1.181138222707109, -0.702580259746302, -0.2240482395025517, 0.25445810029361005, 0.7329390179545018, 1.211394767914502, 1.6898256008072874, 2.168231763541156, 2.646613499372496, -1.9601103387663317, -1.4817767412219514, -1.0034668620144434, -0.5251804717956517, -0.04691734452799656, 0.43132274257893577, 0.9095400091302944, 1.3877346716063959, 1.8659069434217277, 2.3440570349825736, 2.8221851537432774, -1.7847898824825674, -1.3067050984933042, -0.828641682109455, -0.350599437147344, 0.12742182988719764, 0.6054223098477693, 1.083402190995229, 1.561361659044447, 2.0393008972100057, 2.5172200862508833, 2.99511940451414, -1.612082358766143, -1.1342222564519533, -0.6563815039231837, -0.17855993206253007, 0.299242626039824, 0.7770263351244615, 1.2547913578001584, 1.7325378545805075, 2.2102659839197614, 2.6879759022479064, 3.165667764005, -1.4417396650690022, -0.9640834609262194, -0.48644486164131906, -0.008823720404851909, 0.4687801077638589, 0.9463667660469616, 1.4239363958577043, 1.9014891368694542, 2.3790251270441187, 2.8565445026600003, -1.7510339884047101, -1.273547439670066, -0.7960771064908632, -0.3186228590558422, 0.158815430893692, 0.6362378900885298, 1.113644643755729, 1.591035815642311, 2.068411528038494, 2.5457719018004688, 3.0231170563727323, -1.5846342769337898, -1.107319207945141, -0.630019008065961, -0.15273356328369447, 0.324537239107891, 0.8017935105285852, 1.2790353611312417, 1.756262899820913, 2.2334762342736223, 2.7106754709547927, 3.187860715137325, -1.4200493158244403, -0.9428917455021805, -0.4657478588391891, 0.011382444841530615, 0.48849926510995734, 0.9656027004452201, 1.4426928482514758, 1.919769804873498, 2.396833665611984, 2.873884524738587, 3.3509224755106786, -1.2571337765579391, -0.7801213667076562, -0.3031215913817674, 0.1738656387623988, 0.6508404121231974, 1.1278028161679279, 1.6047529374458624, 2.0816908616010497, 2.558616673384896, 3.035530456668521, -1.5726490922888685, -1.0957591178529098, -0.6188809254650488, -0.14201443465587005, 0.3348404342224568, 0.8116837600073261, 1.2885156207366504, 1.7653360936596376, 2.242145255247383, 2.718943181203281, 3.195729946473273, -1.41257576148787, -0.9358110957315083, -0.45905737026808857, 0.017685486917565107, 0.49441754713189623, 0.9711388809818804, 1.447849558384149, 1.9245496485739562, 2.401239220114004, 2.877918340903128, 3.354587078184838, -1.2538358881880567, -0.7771877187700493, -0.30054973497748627, 0.1760781278945729, 0.652695933936455, 1.1293037466316327, 1.605901628864365, 2.08248964292721, 2.5590678505284306, 3.0356363127992747, 3.512195090301148, -1.0963371437111071, -0.6197975563071294, -0.14326747533689121, 0.33325315755117146, 0.809764400173014, 1.2862663098155176, 1.7627589432429243, 2.2392423567031763, 2.71571660593416, 3.1921817461698487, -1.4164435545974174, -0.9399964686358393, -0.4635583289309777, 0.01287091779516647, 0.48929132434607236, 0.9657029430563158, 1.4421058257971082, 1.9185000239817476, 2.394885588570993, 2.8712625700783634, 3.3476310185753495, -1.26109040304722, -0.7847388720989856, -0.3083957265477526, 0.16793908196055551, 0.6442656013629722, 1.1205838791842653, 1.5968939625416543, 2.0731958981494536, 2.549489732323658, 3.025775510986452, 3.5020532796706694, -1.1067583032196096, -0.6304964194295897, -0.15424241131219896, 0.3220037651512553, 0.798242153611449, 1.2744727973551346, 1.7506957393091729, 2.226911022044513, 2.703118687780118, 3.1793187783868313, 3.6555113353911928, -0.9533849867645727, -0.47720737374372124, -0.0010371717740143005, 0.4751256593310207, 0.9512811594318729, 1.427429368066563, 1.9035703244541153, 2.379704067497978, 2.855830635789397, 3.331950067610755, -1.27701898580493, -0.8009137132956301, -0.3248154642298, 0.15127579847191064, 0.6273601115959928, 1.1034375116391506, 1.5795080348113417, 2.05557171703877, 2.5316285939668433, 3.007678700963093, 3.483722073120056, -1.125322641485669, -0.6492926348154804, -0.1732692593286984, 0.3027475189952993, 0.7787577339159959, 1.2547614189343999, 1.73075860729568, 2.2067493319917606, 2.6827336257638876, 3.1587115211051655, 3.6346830502630523, -0.9744331415019492, -0.4984742489387204, -0.022521627265819744, 0.45342475480603084, 0.9293649283325089, 1.4052989241380145, 1.8812267728179566, 2.3571485047410197, 2.8330641500513973, 3.3089737386709954, -1.3002040864421631, -0.8243065223166604, -0.34841492642824834, 0.12747073027738054, 0.6033504766428877, 1.07922434130134, 1.5550923526782323, 2.030954538993493, 2.506810928263461, 2.9826615483028336, 3.458506426726607, -1.1507357957918107, -0.6749023185435734, -0.19907450124523907, 0.2767476829382063, 0.7525642606513807, 1.2283752583503063, 1.7041807023041813, 2.1799806185971393, 2.65577503312998, 3.131563971621884, 3.60734745961211, -1.0019558642821196, -0.5261832013888263, -0.05041591344234142, 0.4253460243934457, 0.9011026367829005, 1.3768539482202238, 1.852599983031015, 2.328340765373813, 2.804076319241626, 3.2798066684634377, 3.7555318367056985, -0.8538295392699786, -0.3781146626302345, 0.09759510306878716, 0.5732997808579909, 1.0489993936129598, 1.5246939640553474, 2.000383514754255, 2.4760680681275975, 2.9517476464434456, 3.427422271821363, -1.1819894205100605, -0.7063246352367771, -0.23066473742068405, 0.244990294476777, 0.7206404818521008, 1.1962858459609635, 1.6719264079194578, 2.147562188705309, 2.6231932091590835, 3.0988194899853836, 3.574441051754023, -1.0350234718425835, -0.5594112870131387, -0.08380376032901338, 0.39179912825201235, 0.8673973986430852, 1.3429910706293846, 1.8185801638692163, 2.2941646978950945, 2.7697446921148154, 3.2453201658125135, 3.720891138149712, -0.8886237585774257, -0.4130617319619325, 0.062495850052274315, 0.5380490061465342, 1.0135977548846504, 1.4891421147138788, 1.9646821039658977, 2.440217740857772, 2.9157490434929088, 3.3912760298619977, 3.866798717843948, -0.7427642615369725, -0.26725011713509317, 0.20825978185487415, 0.6837654528738553, 1.1592669132555227, 1.6347641802271684, 2.1102572709105774, 2.585746202322886, 3.061230991377429, 3.536711654884588, -1.0728931771911594, -0.5974207147552859, -0.12195232804509093, 0.35351199934623967, 0.8289722837266504, 1.304428541306009, 1.77988078819689, 2.255329040415356, 2.730773313881723, 3.2062136244213226, 3.6816499877652586, -0.9279989671926332, -0.4525704514199109, 0.022854163792507265, 0.4982748938061976, 0.9736917538921686, 1.4491047592315687, 1.9245139249163916, 2.3999192659501727, 2.875320797248678, 3.35071853364059, 3.8261124898681795, -0.7835787061558008, -0.30819226637232644, 0.16719043696186064, 0.6425694182500341, 1.1179446918123466, 1.5933162718864646, 2.0686841726282044, 2.5440484081121566, 3.019408992332305, 3.4947659392026433, 3.970119262557782, -0.6396124105902288, -0.1642662930761758, 0.3110762419562145, 0.786415208029994, 1.261750618591788, 1.7370824870123724, 2.2124108265872406, 2.6877356505371695, 3.1630569720087767, 3.638374804075079, -0.9713922270077515, -0.4960813348247042, -0.020773893264091958, 0.4545301104581143, 0.9298306890550299, 1.4051278551693804, 1.8804216213740217, 2.3557120001724527, 2.830999003999324, 3.306282645220942, 3.7815629361357734, -0.8282414977688493, -0.3529678708411017, 0.12230244227312359, 0.5975694536058267, 1.0728331751235967, 1.5480936187280847, 2.023350796256473, 2.4986047194819414, 2.9738554001141253, 3.449102849799571, 3.9243470801221934, -0.6854932841400623, -0.21025545803964563, 0.26497918307834434, 0.7402106505517265, 1.2154389556578877, 1.69066410961421, 2.1658861235784963, 2.6411050086493946, 3.1163207758668072, 3.5915334362123144, 4.06674300060958, -0.543131906819027, -0.06792850177689447, 0.40727183974453274, 0.8824691284412827, 1.3576633749534641, 1.832854589865655, 2.308042783707291, 2.783227966953045, 3.2584101500232086, 3.7335893432840654, -0.8763158296955191, -0.4011425851685917, 0.0740277003275498, 0.549195036946857, 1.0243594347911058, 1.4995209039102522, 1.9746794543027881, 2.449835095916091, 2.924987838646772, 3.400137692341022, 3.8752846667949505, -0.7346526149888559, -0.25951136982586576, 0.215627025188033, 0.6907625796519943, 1.1658953031167594, 1.6410252050849818, 2.1161522950115508, 2.591276582303909, 3.0663980763223693, 3.541516786380431, 4.016632721745091, -0.5933354951066299, -0.11822508151225342, 0.35688258491377045, 0.8319875132554919, 1.3070897125519771, 1.7821891917976076, 2.2572859599423714, 2.732380025892155, 3.2074713985090355, 3.6825600866115638, 4.157646098975053, -0.452351942411928, 0.022728744627863673, 0.49780678199792106, 0.9728821783033945, 1.447954942107585, 1.92302508193221, 2.398092606257677, 2.873157523523348, 3.3482198421278033, 3.823279570429107, -0.7867446699987211, -0.3116900973903114, 0.1633619097486141, 0.6384113596166252, 1.1134582603730534, 1.5885026201382428, 2.0635444469937974, 2.538583748982827, 3.013620534110191, 3.4886548103427426, 3.963686585609565, -0.6463655189415685, -0.17133872196882982, 0.30368559760120295, 0.7787074475489084, 1.2537268356180722, 1.7287437695161125, 2.2037582569143117, 2.6787703054480394, 3.153779922716976, 3.6287871162853333, 4.103791893682082, -0.5062871243426208, -0.03128715684208028, 0.4437104168644552, 0.9187056041671389, 1.3936984124219538, 1.8686888489509241, 2.3436769210423227, 2.818662635950878, 3.293646000897983, 3.7686270230718937, 4.2436057096279365, -0.36649931905507627, 0.10847471760048366, 0.5834464399085628, 1.0584158548947542, 1.5333829695527064, 2.008347790844321, 2.4833103256999394, 2.958270581018539, 3.4332285636679183, 3.908184280484883, -0.7019436484683428, -0.2269924429288115, 0.2479565171046434, 0.7229032383467162, 1.1978477274820278, 1.6727899911653061, 2.147730036021562, 2.622667868646267, 3.097603495605531, 3.572536923436269, 4.047468158646384, -0.5626841790288506, -0.08775730965149164, 0.38716738645655235, 0.8620899156888162, 1.3370102844106622, 1.811928498959445, 2.2868445656446785, 2.7617584907481945, 3.236670280524306, 3.711579941199971, 4.186487478974946, -0.4236884867218329, 0.05121482374303166, 0.5261160297448642, 1.0010151373761986, 1.4759121527031496, 1.950807081765565, 2.425699930577178, 2.9005907051257562, 3.375479411373253, 3.8503660552559547, -0.759830744059159, -0.28494820719912983, 0.18993228495242098, 0.6648107382305701, 1.1396871584454522, 1.6145615513824014, 2.089433922802093, 2.564304278440683, 3.0391726240099466, 3.514038965197418, 3.9889033076665235, -0.6213157296870611, -0.1464553677601459, 0.3284030122954098, 0.8032594160479634, 1.2781138490424369, 1.752966316800449, 2.227816824820445, 2.702665378577828, 3.1775119835250845, 3.652356645091913, 4.127199368685356, -0.4830412270538669, -0.008202363276093472, 0.4666345786147028, 0.9414696039361703, 1.4163027179839172, 1.8911339260316353, 2.3659632333312173, 2.840790645112879, 3.3156161665852792, 3.7904398029356363, 4.265261559329849, -0.34499994583117766, 0.1298180660637247, 0.6046342133733997, 1.0794485011796144, 1.5542609345433884, 2.0290715185051087, 2.5038802580846387, 2.9786871582814323, 3.4534922240746453, 3.9282954604232385, -0.681984514477687, -0.20718492222165708, 0.2676128553465895, 0.7424088231063375, 1.2172029859172198, 1.6919953486193218, 2.1667859160332865, 2.6415746929604182, 3.1163616841827873, 3.5911468944633294, 4.065930328545951, -0.5443693955881521, -0.06958949974526818, 0.40518863401824046, 0.8799650103711627, 1.3547396339637583, 1.8295125094278517, 2.3042836413769328, 2.779053034406254, 3.253820693092921, 3.7285866219959938, 4.203350825656579, -0.40696807814585667, 0.06779268858173348, 0.5425517435833769, 1.0173090913293044, 1.4920647362722577, 1.9668186828475804, 2.4415709354733113, 2.91632149855027, 3.391070376462151, 3.8658175735756073, 4.340563094240345, -0.2697744439545804, 0.204967736794464, 0.6797082540430699, 1.15444711207401, -0.011118801180469205, 0.0031890218468938335, 0.0027904129220013766, 0.010105152848065265, -0.005808781340235147, -0.005251698071781476, -0.0057138016575414155, -0.009240828377471049, -0.026125490126936015, 0.009503696823969031, 0.008164450809513273, -0.01523875997615861, -0.0042804606417623445, -0.007424068371191725, -0.007033438017074073, -0.021396206560762396, -0.0062947496092425085, 0.0059772046691260825, 0.02559488031037793, 0.003942330218796011, 0.0012221916522267957, -0.005154356620924533, -0.006002538501059117, 0.009474398210466388, 0.002910340012621821, -0.006355597402746391, -0.01021552194675598, -0.0016175538639752096, -0.005336488038424868, -0.00005527862320126283, 0.6153072024983388, 1.0899951318118812, 1.564681534456139, 2.03936641419679, 2.514049774785599, 2.9887316199604816, 3.463411953445575, 3.938090778951307, 4.412768100174457, -0.19763746594554998, 0.2770368577485438, 0.7517096881692051, 1.2263810289593047, 1.7010508837483982, 2.1757192561527914, 2.650386149775607, 3.125051568206847, 3.599715515023454, 4.074377993789378, -0.536042378688145, -0.06138282538339834, 0.4132752704851781, 0.8879319124301837, 1.362587103951534, 1.8372408485365224, 2.31189314965988, 2.786544010783837, 3.261193435358181, 3.7358414268203175, 4.210487988595332, -0.39994826264773975, 0.07469544997928002, 0.5493377431210751, 1.0239786201540224, 1.498618084442466, 1.9732561393387744, 2.4478927881833994, 2.922528034304929, 3.3971618810201463, 3.871794331634085, 4.346425389440082, -0.2640263290239453, 0.21060195299968143, 0.6852288520257639, 1.1598543713014093, 1.6344785140623035, 2.1091012835327625, 2.583722682925787, 3.058342715443116, 3.532961384275278, 4.0075786926016415, 4.482194643590471, -0.12827214634480288, 0.3463410994295888, 0.82095299730512, 1.295563550406145, 1.770172761846168, 2.244780634727893, 2.7193871721432714, 3.193992377173558, 3.6685962528893508, 4.143198802350649, -0.46728135813688443, 0.007318547953253374, 0.48191713690576266, 0.9565144117387163, 1.4311103754598251, 1.9057050310664878, 2.380298381545833, 2.854890429874773, 3.3294811790200423, 3.8040706319382513, 4.278658791575928, -0.33183572587421795, 0.14274985600188161, 0.6173341533770016, 1.0919171691577996, 1.5664989062410806, 2.0410793675138357, 2.5156585558532925, 2.990236474126955, 3.464813125192649, 3.939388511898567, 4.4139626370833085, -0.19654588316786104, 0.27802572745217, 0.7525960850097018, 1.2271651923053943, 1.7017330521305283, 2.176299667267049, 2.6508650404876057, 3.125429174555593, 3.599992072225192, 4.074553736241413, 4.549114169340134, -0.061408012495638875, 0.41314996693939454, 0.8877067236101774, 1.3622622602164656, 1.8368165794490814, 2.3113696839899576, 2.7859215765121723, 3.2604722596799895, 3.7350217361488993, 4.209570008565654, -0.4009643071754727, 0.07358156504247448, 0.5481262410964867, 1.0226697235987496, 1.497212015152902, 1.9717531183540729, 2.446293035788918, 2.9208317700356563, 3.3953693236641076, 3.86990569923573, 4.344440899303651, -0.26610646033107255, 0.20842639635570892, 0.6829580851485764, 1.1574886085677112, 1.6320179691251444, 2.1065461693247953, 2.581073211662503, 3.0555990986260637, 3.5301238326952653, 4.004647416341916, 4.479169852029889, -0.1313902445286339, 0.3431299026020018, 0.817648909118265, 1.2921667774526013, 1.7666835100296834, 2.241199109266443, 2.715713577572107, 3.190226917348228, 3.6647391309887154, 4.1392502208798705, 4.613760189400418, 0.003187652177755851, 0.47769538506311404, 0.9522020036688974, 1.4267075103438402, 1.9012119074292597, 2.3757151972590864, 2.850217382159895, 3.3247184644509327, 3.7992184464441547, 4.273717330444252, -0.3368662679951018, 0.13763042690391059, 0.6121260306805891, 1.0866205456108688, 1.5611139739635744, 2.0356063180004447, 2.510097579976165, 2.984587762138394, 3.4590768667277976, 3.9335648959780714, 4.408051852115974, -0.2025436493824282, 0.2719411671833998, 0.7464249172757897, 1.2209076030940345, 1.6953892268306294, 2.1698697906713007, 2.644349296795037, 3.118827747374113, 3.593305144574117, 4.0677814905539815, 4.542256787466009, -0.06835034928788675, 0.4061228559189827, 0.8805950184754063, 1.3550661405074347, 1.8295362241346202, 2.304005271470048, 2.778473284620358, 3.2529402656857727, 3.7274062167601247, 4.20187113993088, -0.4087463494646153, 0.06571652413601559, 0.540178376057515, 1.014639208362146, 1.4890990231059318, 1.9635578223386845, 2.438015608104027, 2.912472382439422, 3.386928147376192, 3.8613829049395467, 4.335836657148608, -0.27479198072735045, 0.1996597668062532, 0.6741105150066364, 1.1485602658688083, 1.623009021381809, 2.097456783528734, 2.5719035542867594, 3.046349335627163, 3.520794129515351, 3.9952379379108742, 4.469680762767463, -0.1409587807107453, 0.33348208290595815, 0.8079219688101738, 1.2823608789325494, 1.7567988151980196, 2.2312357795258295, 2.7056717738295557, 3.180106800017129, 3.6545408599908558, 4.128973955647443, 4.6034060888780175, -0.0072441251756338865, 0.46718608885408575, 0.9416153460979129, 1.4160436484248735, 1.8904709976985234, 2.3648973957769672, 2.839322844512882, 3.313747345753536, 3.788170901340812, 4.262593513111228, -0.3480662038478286, 0.12635452577705664, 0.6007743170626467, 1.0751931718242018, 1.549611091871723, 2.0240280790099656, 2.4984441350384663, 2.972859261751558, 3.447273460938392, 3.921686734382959, 4.396099083864106, -0.21457087558822385, 0.2598396312821585, 0.7342492194950097, 1.2086578908088055, 1.6830656469769782, 2.157472489747936, 2.6318784208650787, 3.1062834420668217, 3.5806875550866124, 4.055090761652949, 4.529493063489397, -0.08118692442916453, 0.3932135730985902, 0.8676131710377706, 1.3420118710924107, 1.816409674961709, 2.290806584340044, 2.7652026009169934, 3.2395977263773523, 3.7139919624011526, 4.188385310663677, 4.662777772835484, 0.052087963838631346, 0.5264786588218398, 1.0008684726977999, 1.4752574071183304, 1.949645463730608, 2.4240326441771862, 2.898418950096013, 3.372804383120447, 3.8471889448792753, 4.321572636996731, -0.28912592565127504, 0.1852560320379979, 0.6596371249314372, 1.134017354635225, 1.6083967227510745, 2.0827752308762437, 2.5571528806035526, 3.0315296735214017, 3.505905611213787, 3.980280695260313, 4.454654927236215, -0.15605307803141288, 0.3183194545115344, 0.792691139683487, 1.2670619790423507, 1.7414319741417388, 2.215801126530987, 2.6901694377551717, 3.1645369093551237, 3.638903542867441, 4.113269339824512, 4.587634301754523, -0.023082956562305412, 0.45128033988142713, 0.9256428058576196, 1.400004442877816, 1.8743652524494374, 2.348725236075796, 2.8230843952561124, 3.297442731485527, 3.7718002462551175, 4.246156941051914, 4.720512817358911, 0.10978648991130013, 0.5841407336716185, 1.0584941633670626, 1.5328467804646357, 2.0071985864273794, 2.4815495827143885, 2.9558997707808228, 3.4302491520779226, 3.9045977280530266, 4.378945500149577, -0.23178891693664205, 0.2425572517176402, 0.7169026208004952, 1.1912471917399403, 1.6655909659601722, 2.139933944881579, 2.6142761299207518, 3.0886175224905026, 3.562958123999875, 4.037297935854156, 4.511636959454892, -0.09910619054387926, 0.3752312607395114, 0.849567927951683, 1.32390381247935, 1.7982389157055496, 2.2725732390096582, 2.7469067837674013, 3.2212395513508674, 3.6955715431285228, 4.169902760465219, 4.644233204722215, 0.033481490513394, 0.5078103926804189, 0.9821385258300421 ]
What is the most likely mean of the given time series?
[ "24.24", "5.17", "-19.11" ]
-19.11
multiple_choice
null
null
41
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Mean" ]
The given time series is stationary. Check the average value of the time series over time.
Pattern Recognition
First Two Moment Recognition
411
[ -19.21060312271653, -19.180978436105338, -19.51782403646806, -19.1125818213449, -19.16883801035913, -19.203592904360967, -19.039795336582113, -19.29729625704786, -19.037832184634194, -18.970930143976307, -18.961042385453897, -19.20341109223792, -19.16680159520817, -19.481258039614055, -19.27434878665624, -19.191926693685637, -19.168848606947684, -19.220604015267007, -19.325788729659454, -19.01309142964285, -19.26632323940949, -19.271011676641933, -19.17301576871583, -19.149140278353006, -19.034911944819715, -19.355240321011138, -19.163382603765783, -18.98890931984281, -19.271599714654123, -18.779426959647605, -19.084087764206387, -19.23778361517697, -19.355626241222392, -19.606966000990376, -19.02732259366086, -19.197673242464415, -19.40696665713126, -19.174923819853326, -19.076300156766045, -19.19582045010914, -19.37081086859297, -19.142434178951284, -19.016692333475227, -19.022755072799548, -19.041229550635116, -19.05075258520056, -19.016624820295128, -19.253263662403402, -19.03124460867059, -19.004407538268804, -19.27202428116633, -19.09993811811741, -19.14742826341078, -19.07470308034345, -19.30095691230254, -18.963381320280092, -19.19789048135128, -19.21746314480984, -19.302645516979005, -18.848900204229285, -19.187965758868824, -18.9960179305383, -19.270567455634286, -18.874398310431822, -19.288129025926953, -18.9816610173805, -18.897170224771045, -18.87893333031112, -19.109922224520748, -19.04778805013566, -18.959495446094557, -18.87451977447189, -18.89701109947446, -19.019031967888797, -18.80569313293484, -19.140423083106025, -19.073683643442553, -19.025795657750646, -18.979323434674072, -19.23268321039486, -19.34208153391891, -19.036143217995242, -18.90813243432747, -19.046238568199758, -18.994634741640503, -19.240338142777407, -19.260824071202954, -19.28319361147457, -18.929117454963578, -19.18128217551243, -19.015188727588093, -19.123306216964032, -19.261062321611117, -18.8668890102495, -19.34811588994471, -19.043926886594168, -19.442175512212746, -19.169900949888568, -19.425891373228286, -19.11677576513284, -18.879284555649548, -19.441164772343306, -19.11733603501925, -19.13081721968046, -19.103021277671882, -19.184000520622323, -19.0223685330898, -18.95637989091974, -19.258542791108777, -18.801843166167643, -19.261034159024504, -19.188139274441653, -19.158565640558614, -18.957789128754786, -18.88074760911466, -19.45313113818742, -19.32278509288593, -18.93319039508909, -19.268110629844784, -19.187661632600623, -19.41010985466923, -19.222880342455515, -19.384555010095237, -19.057809555107063, -19.31573893098658, -19.078362709429783, -18.997960662273147, -19.060491575213653, -19.239847338630096, -18.962314051572193, -19.081343680950457, -19.12163718242209, -19.327164480487927, -19.223713028588133, -19.303038409243303, -19.02420665103881, -19.06723151186113, -19.05920035674593, -19.448043897245192, -19.12037293610299, -18.797271354053557, -19.013250618290986, -18.959019025614726, -19.49852370118634, -19.04360519592464, -19.151636354595418, -19.32785968458488, -18.987017101941653, -19.120125291120996, -18.87094894531382, -19.268271077614926, -19.3341739768035, -19.064123505742984, -19.340296066261992, -19.130763798137842, -19.181934163061918, -19.158359392232086, -19.274844212455424, -18.75627605864263, -19.071630278566285, -18.814730270261997, -18.949331182312395, -19.059829046067797, -19.410064282406882, -18.90122682122419, -19.46147298639892, -19.02705941709806, -19.25743391356034, -19.306610030974316, -19.2018046671454, -19.26119118371939, -18.9644041818099, -19.046104232920467, -19.04937837143448, -19.527760718082728, -19.215668742347333, -19.186808224485713, -19.093662703652758, -19.268823293631694, -19.01596730978269, -19.149798177625563, -19.01980147859612, -19.005467167885282, -19.08500156897097, -19.283350509005036, -19.107843949192635, -19.05133754242439, -19.060443520415987, -19.347278265264404, -19.19353219933549, -19.093997154458336, -18.991788249191078, -18.999269191058268, -18.83408594108865, -18.833624887038326, -19.080540513663372, -18.870498495799207, -18.837959288049895, -18.92147975597076, -18.971993349321313, -19.19923147918052, -19.00350677946891, -19.163968838868783, -19.15731869487509, -19.147780240315324, -19.189473179984248, -19.231218348050437, -19.404816953283675, -18.933143139915646, -19.061991973540284, -19.191577908965222, -19.14058210941156, -18.785355448945772, -18.95686833466278, -19.365726488531386, -19.008738048940874, -19.07947365531084, -19.436961144107187, -19.155527324858777, -18.909350854406167, -19.002418179405012, -18.97303538840636, -18.965014071669447, -19.449095795315127, -18.90598182901576, -18.949811074867824, -19.374925454610747, -19.254514802779546, -19.256845284823047, -18.921444484537187, -18.94073446550433, -18.91357079437167, -18.99512767549557, -18.70026880701884, -19.080590780443128, -19.603109641228546, -19.194142144106674, -19.07541092728395, -19.146938952611723, -18.920966929443754, -18.88684345397873, -19.43025505141799, -19.31693157797763, -19.185272286603855, -19.240396372651038, -19.115778860117235, -19.46887405132908, -19.09117089486914, -18.988860899022487, -18.642409495531872, -19.055937090764736, -19.135596461244596, -19.06524060697018, -19.096629789432036, -19.370077003533037, -18.98018748659049, -19.010934690649652, -19.016556580261348, -19.164848164316048, -19.191064555023086, -19.093419962955373, -18.794157891431205, -19.117941181479726, -19.257172698657524, -19.29075897975779, -19.28465959409661, -19.02101027088321, -18.918165243227648, -18.91432395626433, -18.909674247516346, -19.092904450281598, -19.159331932074913, -19.11327029732536, -19.15695482895654, -19.161819203005138, -19.13197968858024, -19.073395747464463, -18.994381051891246, -18.80823132349612, -19.097213993067477, -19.42263572094472, -18.901283510507533, -19.35414452278, -18.783410336257095, -19.12878283666329, -18.856859782330112, -19.125143246233353, -18.95895246667379, -19.022931320328595, -19.201714411801696, -19.25285527477513, -18.97657199807629, -19.196899020184777, -19.338393326933105, -19.140360352462984, -19.251212783296715, -19.134109617271164, -19.082385392474258, -19.497473798258024, -18.775140002120484, -18.910609872648948, -18.959053275666275, -18.8730967698353, -19.25937271699759, -18.78534155734393, -19.51361530836076, -19.459256785149467, -19.24030322101321, -19.387124468417905, -19.199160198933395, -19.2992557114299, -19.092390019258517, -19.307378976471416, -18.80212303640648, -18.953480040400816, -19.034101572930243, -19.33217553474481, -19.093830677608604, -18.70704480982429, -19.13871503119552, -19.170953805388425, -19.10251251222437, -18.855023549156392, -19.06423331372497, -18.860762528807452, -19.16182859469086, -19.330795009021383, -19.22986378048437, -19.14226064385171, -19.04053148421621, -18.896783227399776, -19.178674876727545, -19.335661849276356, -19.386169364459125, -18.91874761361131, -19.27711990540577, -19.050195981941197, -19.07775055933899, -19.153070609726544, -19.099326388400968, -19.24666776204162, -19.088400187259857, -19.08549596829172, -18.787644316324737, -19.036136969380195, -19.152094392500057, -18.72344531214336, -19.04843432336372, -19.156540906523837, -19.127715822828453, -19.204822819133465, -19.31844994561253, -19.09754561500998, -19.112062671744372, -19.238541768477138, -19.030265218343768, -18.988711412741413, -18.78602899585402, -19.13657933405535, -19.253840319110065, -18.898578729419423, -19.27334976899772, -18.939839862615393, -19.21759151552262, -19.080566598623275, -18.970586578730074, -19.21008541762924, -18.97831442779426, -18.905625950057033, -19.030164116715838, -19.108949891339098, -19.107771059977512, -19.089833650880827, -19.152473856097302, -19.054523676903038, -19.099775952986224, -19.074939607511684, -18.8303639169444, -19.272381641290476, -18.87651747421075, -18.87021574014307, -19.024138564172443, -18.93384013487781, -19.11630728755048, -19.038091542394074, -18.780599089583454, -19.287770162096948, -18.97239327774194, -18.970799697558373, -19.108550670730136, -19.065136775437793, -19.079133433460306, -18.95133345754205, -18.97409218644511, -19.10918570849808, -19.008458334857593, -19.234281232091167, -19.367020544575695, -19.2469525443971, -19.12252019047496, -19.14175442032912, -19.08854845857249, -18.703049747761362, -19.09352931185434, -19.119269885161316, -19.100302998954913, -19.139512955333345, -19.12701853568671, -19.281181247333016, -19.258250427637158, -19.114982032387843, -18.749262263716705, -19.42474493620346, -18.870029073276562, -19.30188660253371, -19.023435588507386, -18.975513469140708, -19.516147566985378, -19.128458689911035, -19.221329399326443, -19.438501918569543, -18.998123281641362, -19.09189668219079, -19.176200070588774, -19.048209869870117, -19.105584148404773, -18.974447600707627, -18.91883025897993, -19.25285334375724, -19.606469409279395, -19.125045777437947, -19.202766469821352, -19.37329625542759, -18.79239282438368, -18.967010139051915, -18.89043939664553, -19.206395616989212, -19.01620414743917, -19.05427863379703, -19.194844763687374, -19.00452541215909, -18.81977338131053, -19.049312572058763, -19.578402035633303, -19.043933936417545, -19.303638962588195, -18.80599276064703, -19.5164866923586, -19.313412551634098, -18.776923495758822, -19.291529050581186, -19.347112573269715, -18.928866877633958, -18.937186312969704, -19.149406960424077, -19.315143158042908, -19.32913816015117, -19.310436125649957, -19.03162433893776, -19.210568735687996, -18.973195567882904, -19.262044669217097, -18.970163284973246, -19.21006678354162, -19.5511506120324, -19.25944780203039, -19.157885574284904, -19.04244551326274, -19.352688576239604, -18.896651045235803, -19.198052913421026, -19.258858510891645, -19.05594601748353, -19.46279370588876, -19.302867888596058, -18.9086246064756, -18.744603297687902, -19.10744171400204, -19.21034476395195, -18.906671302645513, -18.71090750977223, -19.215805429403677, -18.832439604227105, -19.1757866515634, -19.138601952875362, -19.69629234550994, -18.878469833627527, -19.04303055150969, -19.14560227470414, -18.71443096185773, -19.173222053380723, -19.107937870739505, -19.17816229087778, -19.20490309539177, -19.085967923725857, -18.93117348243678, -19.341289582652767, -18.96387377515316, -18.994582548721493, -19.263876693266692, -19.077276554598498, -19.44111667086987, -19.230906159991818, -19.073019037061826, -19.339372091737697, -19.23912536831237, -19.086014105673993, -19.002554248838845, -19.474438375029035, -19.075355627657963, -18.898014054992956, -19.050374206943026, -19.00671908001987, -18.61819164693653, -19.199484676914846, -19.03700203388768, -18.92172043116926, -19.218176634210057, -19.58786952197968, -19.21693537449227, -19.22460936718857, -18.98129481382645, -19.177091889461764, -18.88766366172227, -19.269116345233883, -18.991062920556637, -18.811319656637117, -19.133142317326463, -18.608621302885282, -19.093645319071914, -19.18499834648844, -19.117620074293136, -19.186155721961573, -19.31476896210795, -18.893304111645403, -19.128795944600533, -18.963194050466953, -18.78269318872339, -18.874794695078233, -19.35227575741033, -19.08942662756008, -19.20146978369335, -19.513600816977476, -19.1074921534505, -19.038173245995544, -19.011990978835627, -19.324147018787194, -18.990144761740442, -19.288570634787146, -19.250772881020197, -19.203243045066024, -19.204592607483455, -19.408075333081825, -19.323843850597925, -19.294858721737455, -19.286773488195987, -18.97443370760477, -19.327608801589808, -19.118366979784742, -18.626588987990903, -18.957180694023634, -18.892360376631608, -19.18759051631661, -19.253496418874068, -19.409822617637708, -19.06637818214168, -19.299846783564046, -19.16637325326667, -18.708350262544272, -19.33132835243561, -19.619655048457872, -19.208454104721458, -19.269297210845128, -19.135839349118424, -18.965255950905792, -19.233195325107438, -18.991276397934296, -18.989545653475503, -18.77466264419831, -19.168340024513782, -18.941658804430638, -19.025656901681575, -19.171573397298612, -19.334910116069498, -19.08020495772981, -19.19908848596062, -18.95268815900931, -19.222951466841778, -18.93137229945035, -19.179748929316933, -19.08026338190248, -19.14091970678635, -18.970094413690745, -19.232199381601788, -18.978132422183798, -18.7807600888272, -18.589490640972567, -19.402300504458534, -18.99633636661909, -19.230728860185803, -19.066981138375915, -19.229219070865817, -19.382703787777334, -19.317305643553983, -18.924641656120468, -19.182224503143523, -18.993175630011716, -18.825564278467443, -18.96046977429457, -19.305579137118443, -19.362222207898967, -18.95472687285543, -19.239647651507642, -18.820138560604747, -19.347205902955636, -19.277642510303945, -19.16523201948998, -18.988653192538816, -19.418024190682658, -19.213218282346087, -19.161723467556026, -19.069035627773737, -19.014291769265572, -18.88175291979743, -18.92618217283477, -19.294144799985087, -19.497730358066118, -18.74608403224408, -19.238995048306503, -19.142460883901272, -18.842381652214165, -18.778570096489133, -19.260757567615215, -19.042883433385995, -19.482230928339114, -18.92861145071745, -19.212867898342104, -18.940164725284312, -19.30212807279542, -19.553987058528747, -19.094673499147337, -18.8312812261448, -19.172834010719566, -19.065942943400856, -19.24820292914786, -18.938866894745924, -18.915933187428948, -19.240127598600807, -19.0139732514503, -19.444161992189507, -19.020101443525746, -18.756391185472513, -19.215964181962256, -19.078699301122217, -19.15296932437304, -18.821733403821977, -19.086424318228403, -19.22388388712028, -19.04108726668758, -19.345432060910248, -18.80045862736252, -19.34644379262907, -19.218415734404775, -18.866716825683937, -19.15712888072498, -18.695982655536522, -19.150881233271843, -19.42512224221365, -18.94228519435261, -19.05058086233343, -18.99605927196409, -19.23030262684682, -18.899021609989923, -19.190959141787925, -19.55747135617901, -19.170136291328376, -19.457483162731833, -18.902819324542236, -19.26512160380319, -18.801636586916384, -19.33197153260794, -19.29615248383323, -19.063296298364968, -19.09065541350234, -19.170749422573596, -19.184345614859627, -18.771456686963745, -19.224943294996944, -18.937477245211166, -18.95728046240878, -19.0490208514767, -19.293037012196216, -19.267288553923475, -18.893370575858714, -19.131758210541644, -19.236573274358026, -19.138849931787334, -19.034229055445195, -19.02100007826356, -18.88935661252121, -19.22771337491903, -19.48607310263319, -19.083068806517648, -19.012158815042575, -19.24771623972487, -18.814301436420635, -18.907710010862758, -19.489234934711984, -19.28072552215843, -19.403731117551196, -19.207803116592338, -19.066108097453657, -19.019889630361497, -19.4210398239823, -18.717851942556823, -19.09013227507228, -19.290213708055404, -18.891621467568573, -18.893705219010755, -19.25317214405158, -19.369666332572457, -18.991491469838994, -19.237841217745476, -18.833438895643564, -19.307423937942133, -19.197632715896603, -18.856938696488605, -18.90476973494729, -18.825310248815274, -19.182924876514775, -19.48027817521262, -18.92221139580666, -19.149102436666276, -18.749786747359284, -18.99794063799099, -19.537367278742558, -19.23861687023808, -19.207321233739208, -19.411267097478863, -19.51328286152184, -18.961973936177408, -19.199656133065467, -18.969996368415497, -19.35303019172472, -19.1635222870327, -19.12506919530817, -19.25711861802097, -19.091084962984247, -19.316053150011275, -18.95261093506145, -19.168982157045996, -18.956680539494574, -19.06891586499675, -18.93424245519646, -18.779599148255624, -19.12989967564267, -18.889748072874124, -19.227280934748993, -19.75707876019384, -19.06154628186432, -18.964022436020247, -18.986975916635448, -19.187553496315015, -19.244756858594034, -19.021611986402323, -18.96592958326407, -19.258515999116604, -18.8823999430517, -19.071721585826197, -19.27105105319269, -19.314949152194075, -19.03687438923472, -19.10135127754506, -18.98167646922773, -18.90416706272073, -19.037769640838167, -18.790316807987605, -19.16740013034429, -19.287886316801274, -19.082432358206837, -19.20088922137641, -18.843477412138753, -18.81004121399253, -18.947158357173898, -19.563140517081017, -18.96763466144515, -19.1309435804264, -19.083181057584135, -19.146494905981758, -18.751772027553518, -19.194899167817944, -19.314529609463886, -19.333289536744857, -18.89291393261932, -19.075179324984344, -19.01020724386411, -19.34295129446126, -18.78124179819009, -19.53583546020638, -19.11121361750876, -19.11248255948351, -18.919333487043417, -19.139594727415535, -19.577505599346296, -19.310982180640025, -19.03812019508763, -18.926634110881118, -19.22173708716795, -19.444015016548413, -19.18331505925635, -19.247868977696044, -19.189627215324172, -19.135805078616077, -19.04071366779893, -18.98597322741442, -19.017397081492295, -19.234559671889564, -19.261627953776898, -19.10598832472234, -19.038158763885637, -19.346975850384233, -18.852352481008193, -18.89069498967217, -19.070251381724276, -19.10786100376638, -19.248102188105747, -19.145288660155536, -18.90074696982394, -19.078543208670727, -19.399492852582974, -19.088759061816454, -18.89759473545168, -18.84615709880509, -19.339279083138816, -18.78913479329825, -18.885934761326745, -18.82572498670036, -18.96989685021947, -18.80906077044827, -19.29258307357398, -19.176670051375883, -19.339604376117634, -18.912107787758792, -19.048961070773064, -19.363526401632498, -18.768808680530086, -19.136033389889747, -19.126853587250878, -19.68911292243802, -19.493469583884185, -19.123785209895058, -19.218892175651323, -19.307574777531187, -19.200099450455177, -19.071078006598462, -19.018128725246317, -19.038944930042124, -18.77438400210859, -18.64358892130762, -19.096732960359187, -19.22785971942646, -19.122582314496366, -18.818733198873073, -19.456685324686536, -19.170554134305252, -18.693705484618373, -18.863980930585114, -19.28700616368214, -19.0398503967221, -19.311709327627643, -19.04702209122074, -19.276087972140036, -19.330369573729538, -19.210508624729957, -19.084720977378627, -18.97956264319739, -19.0256930003034, -19.22152912874452, -18.94492916748786, -19.06763451797719, -19.407442954531895, -19.246055423631248, -19.162295389530687, -19.111534982351937, -19.192845352259326, -19.53367274400696, -19.150685463935023, -19.046748342847334, -18.8557092685866, -19.077692766688347, -19.181044901982894, -19.032519355213758, -19.218545758255214, -18.902980682208895, -18.883060419577333, -19.242961837839196, -19.06366558335245, -18.910396330567213, -19.058763269869406, -18.977485878557104, -19.267425179767955, -19.137689934561884, -19.226071703194126, -19.36766080457003, -19.419129784443594, -19.292672063414248, -18.993851528765756, -19.29366665372443, -18.987228622987523, -19.11939711115524, -19.441418751139103, -19.297802974734072, -18.974513278228798, -19.690291829289126, -19.024110432171273, -18.854848533723914, -19.0490218329914, -18.97811768884132, -18.71647494170098, -19.38658208902598, -18.879933794681477, -19.187527089418268, -19.281809488581995, -18.92017428879433, -19.184318874376327, -19.208370419829222, -18.904538034868658, -19.34551888114438, -19.479427965541, -19.065164337821532, -19.075250716010093, -19.175892794417127, -19.18772462685201, -19.228215582077475, -19.335565488749314, -18.848454135594206, -19.04954731253869, -19.095776922976185, -19.343382498963617, -19.13028114833865, -19.325048936364706, -18.804246986705216, -19.007200482296653, -18.98732051699162, -19.2732646560935, -19.00551175645772, -19.317426877652544, -18.82160255860034, -19.054148394184818, -19.325518540457765, -19.227812147275543, -19.231881063655152, -19.282636428296133, -19.004238272169772, -18.727874252543195, -19.217447955089316, -19.16660037448385, -19.16143344008674, -18.800310161609577, -19.099974157451335, -18.941513010275013, -19.031896763378015, -18.960818968377968, -18.895232030127882, -19.22977053098273, -19.423408757462045, -18.982923722013005, -19.10521264166783, -18.788321371053602, -19.353782438909207, -19.187822332835527, -19.291798910490805, -18.505047307425848, -19.26616509673565, -18.82092462719954, -18.974262374563995, -19.126256838760142, -18.867578686632886, -18.946212067117383, -19.379101667018087, -19.05629300070912, -19.19100941823076, -19.187762593061485, -19.078503254369263, -18.938314753630735, -19.12749071863285, -19.091119364283585, -19.006718202581627, -18.66979440282437, -18.98162217521243, -19.032894784939334, -19.01015479355694, -19.184749872183172, -19.17371296520348, -18.984448523666796, -18.98411271044744, -19.449833800563024, -19.06271533524068, -19.196116639089272, -18.906869376666958, -18.808486846540436, -19.28678111035604, -19.056547280142414, -19.115026428076906, -19.347000891427797, -19.0372724957523, -19.11610095825305, -19.18532543293416, -19.234539050017343, -19.358330962778783, -19.429991893534616, -19.205548148358528, -18.95406959551573, -18.842737961866074, -18.96354313496806, -18.90289967745074, -19.086785437103558, -19.29743188488595, -18.84194973266112, -19.339730453380948, -19.172899302976592, -19.33362258750098, -19.601348597955315, -19.06301436170799 ]
Which of the following best describe the cycle pattern in the given time series?
[ "Amplitude remain the same over time", "Amplitude decrease over time", "Amplitude increase over time" ]
Amplitude remain the same over time
multiple-choice
null
null
28
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Amplitude" ]
Check the distance between the peak and the baseline, and see how it changes over time.
Pattern Recognition
Cycle Recognition
412
[ -0.12826318260761968, 0.24466927792289345, 0.5572158934586725, 1.0464578951788606, 1.2767192496461783, 1.4496602480569383, 1.7244801158479155, 1.6271379158102868, 1.4857332992985557, 1.412307407163803, 1.2788672662504803, 1.0823390994552426, 0.9147261060306618, 0.261637823628725, -0.1170902696449793, -0.4227845082129901, -0.7943635008127357, -1.0547734645506002, -1.215376457984152, -1.6549189326944251, -1.6520607970368322, -1.675738690514939, -1.5887378017362093, -1.5295139292338864, -1.3067706300283728, -0.9875324042695395, -0.8046647491474648, -0.32942533476821617, 0.12218833797498323, 0.38028768105143285, 0.7893353891805229, 1.1765944906881125, 1.3621338542735646, 1.4690194896413766, 1.5837375846346824, 1.655266722518801, 1.6545480898862508, 1.4394022566056335, 1.1150295894175104, 0.6917147652508652, 0.38075157989268704, 0.04191067216400242, -0.1821165324494779, -0.5748539493853307, -0.7799933731045782, -1.3260640771083168, -1.3777711225209188, -1.6240109373385374, -1.731694088618233, -1.7923621947305293, -1.4057526124301305, -1.4463979676078595, -1.0224426885730407, -0.7542388339953352, -0.5415793235913912, -0.0864003588102294, 0.3568491160525732, 0.7137248065484556, 1.02942252809228, 1.225316938167345, 1.610806693887807, 1.5109477192416871, 1.6465505943948002, 1.5561278219056964, 1.4855820525969423, 1.4965959938851976, 0.8236603451298357, 0.6641311606042546, 0.41940191845329483, -0.05552980990925523, -0.47388453820071474, -0.6098354734388453, -1.0609992527198377, -1.1273802259784467, -1.6314109144219255, -1.6363038694276464, -1.4016693599727081, -1.6079214308772731, -1.3990389971427797, -1.4157716588530076, -0.962371257102199, -0.72531685540594, -0.2474674285545485, -0.005397900240933978, 0.4855369426887932, 0.7923777804847287, 1.2011961114460719, 1.2423264784963182, 1.6158143608523854, 1.6228171770987152, 1.7248366593125473, 1.732041641883588, 1.3521738663459273, 1.0066309968111664, 0.8072082609855662, 0.6886220223567476, 0.2071907101720699, -0.008349560289680202, -0.6151732588308927, -0.863705704298759, -1.1857929525228166, -1.3738692973115363, -1.6245432286173602, -1.6337508565849561, -1.5450876332382033, -1.5223068715582733, -1.4150564344853533, -1.2605995497112386, -0.9392776962030046, -0.377644698264165, -0.10265383982351425, 0.1081351557754354, 0.5196005492738517, 1.0049783627089564, 1.2301119293126443, 1.4532992791821826, 1.6203226032010554, 1.5900141489926733, 1.5825917567867656, 1.6252763806067099, 1.4109303917666032, 1.1542763561566245, 0.8012935026659891, 0.5331515032922107, 0.13180227900267885, -0.3315161280422735, -0.6752749576555098, -0.9750523981559486, -1.3146050750653286, -1.4588880733249021, -1.624084255044222, -1.5647852544310161, -1.6122211941331155, -1.4193371030419382, -1.4812053113346422, -1.1243541160098145, -0.6521999831718215, -0.16066773620409458, 0.06015547077019869, 0.5024351106111594, 0.6536523467629941, 1.2188930355557273, 1.1939142005778545, 1.3779492128232105, 1.76422479631408, 1.673697680143849, 1.5443917441174366, 1.5244814381392393, 1.367009437426337, 1.038519433085692, 0.704224810832043, 0.3792208778688644, -0.17044053080544247, -0.32749556511636946, -0.7459061358793221, -1.1299741119135815, -1.280837336304543, -1.490068231520204, -1.630800302561389, -1.6046806737582662, -1.515527243622124, -1.510174802748208, -1.1192179726759657, -1.0110750941630915, -0.4927056185920823, -0.4234598146490447, 0.33981344088268906, 0.541658566322254, 0.561935615385867, 1.2731367907924047, 1.3243601125895619, 1.4143276923321662, 1.5781563038453317, 1.7186883119462817, 1.5210947965683956, 1.470246865248127, 1.0937229697276767, 0.7525050326009766, 0.5407524867269824, 0.30228820353071273, -0.3012604722797251, -0.6934011265245362, -0.8725440356814027, -1.2774316890093205, -1.369989982494007, -1.5430434646957896, -1.5320131152236705, -1.473079133503975, -1.484657290657844, -1.451761299629345, -1.0034595106469737, -0.7005244808992355, -0.44895047503913355, -0.06298988334523267, 0.2514080077788177, 0.6064531688182292, 0.7786128683915535, 1.3594094697363912, 1.3764244617562553, 1.425896962013789, 1.749876756365687, 1.7776399106721308, 1.5432095157298809, 1.513570983907835, 0.9872144843765713, 0.7655100596130808, 0.30926091519245213, 0.04699345139965489, -0.2947550934937522, -0.7044321517406226, -0.881594358619579, -1.2406455314111464, -1.598667381718671, -1.8243959413732225, -1.6875691670871462, -1.5967478339871353, -1.3194323609964616, -1.4240090018259635, -0.8488761802967661, -0.6937680801017428, -0.4238795436733066, 0.15542024999769916, 0.5462630192192655, 0.8882751454649419, 1.0088985893947942, 1.4629964197831755, 1.5994925651112997, 1.4527638117652228, 1.6528239587730797, 1.4957942461552922, 1.480548244861901, 1.2461422173012757, 0.9229384799593155, 0.8576660242435532, 0.200645264960098, -0.25623681802006537, -0.3900205212198994, -0.7277494182558647, -1.33330783337308, -1.410078838426302, -1.5598497549440014, -1.773632498301894, -1.5993977852668244, -1.5450731179570383, -1.264585264760788, -1.1516065610282773, -0.9372112830282135, -0.46057923277863777, -0.05514538629882236, 0.2473547433442747, 0.7637432298881799, 0.8426172118238018, 1.021873763322153, 1.4416256868772739, 1.787976827512193, 1.622988433137101, 1.7124858848904616, 1.5407255595751699, 1.2080617577620807, 1.157119220025122, 0.6714152585708653, 0.389864430442754, 0.1101101601473044, -0.41036183049253305, -0.708766567817407, -0.9796556302927245, -1.1245082281809162, -1.4776437782897391, -1.6358904640198888, -1.6825787460282917, -1.761459062529907, -1.4599658237504556, -1.2444692311275984, -1.0454815418333585, -0.8853792291050967, -0.4886575859907184, 0.13689519960361068, 0.5298004994304778, 0.5898462788473399, 1.0823994518169238, 1.3032721869278754, 1.5394325999349558, 1.6337448105684773, 1.7309400092585612, 1.6197913331989595, 1.4812626404175466, 1.3199107172756153, 0.9070248953103531, 0.6833776181603094, 0.20670690167386255, -0.004080731829085929, -0.301083110352816, -0.7678564527834687, -0.9576014234736185, -1.3537623001730807, -1.457795540053827, -1.5356001739122813, -1.5859952002996494, -1.4602252579147712, -1.3344426155899527, -1.1025274602432311, -1.0235105472541364, -0.7586272912051543, -0.13912066641202214, 0.14363451131106303, 0.3967133323674607, 1.1588557899531156, 1.1795640535153389, 1.414141409789699, 1.6046419941555048, 1.846148870404641, 1.638878016876626, 1.7730459994483754, 1.259707684050865, 1.2838699845555068, 0.8251625994782059, 0.482616146677598, 0.23733436610060327, -0.16353094407185798, -0.522979814281788, -1.0374174384091395, -1.1790356657312318, -1.273687716800418, -1.5793966510714836, -1.631852193049383, -1.5913635559964987, -1.6657164784425584, -1.4363195718659827, -1.15133610979649, -0.7395513733645463, -0.3308835776035434, -0.12566804213638322, 0.33973507330613445, 0.8041752390251521, 0.8432233630960803, 1.4068675898271272, 1.4935811402890597, 1.571217802626421, 1.8287278108190574, 1.732508620108654, 1.445056820995515, 1.2584412300064978, 1.198187738417343, 0.626658992888136, 0.3741527452035647, -0.028800618919931163, -0.5731596069980838, -0.725946689684425, -0.9769689005354221, -1.302005697715997, -1.4945765122135701, -1.6355556907543338, -1.7260534927579754, -1.6408863023002982, -1.6927903968648925, -1.1970021207389157, -1.1257994152409931, -0.82689737298419, -0.375821812834358, -0.02703390256391873, 0.47835545528041934, 0.6084467384279117, 1.115320043039881, 1.4244751021712516, 1.4887485193590237, 1.5941434146812776, 1.946660194420165, 1.5089692297827253, 1.331654034448868, 1.3660833589823766, 1.0940574417677158, 0.6825412918652006, 0.1082513460966085, -0.1556611291678224, -0.5766476845828398, -1.0023732050505068, -1.1797629909521357, -1.46462678163861, -1.5353088830218808, -1.6449961701094513, -1.675993084523725, -1.6313569359652231, -1.414916704794096, -0.9526413668252618, -0.7526572117548995, -0.4856429276443095, -0.08292754580607656, 0.20167517937974294, 0.5100744895351208, 0.8656517057325892, 1.1209086490079776, 1.3351977827264525, 1.5046385847721018, 1.7997308837741364, 1.6299845552090775, 1.5429152795014451, 1.2284736675144823, 1.067264642244212, 0.8587420030133902, 0.3031686442918241, 0.0738848431132532, -0.331358676612131, -0.7184729987443622, -0.9786167654563587, -1.3759542199985066, -1.2255150891165798, -1.696443337522815, -1.6030215079585217, -1.5705791436486871, -1.3687181613300972, -1.445834292241827, -0.8833433596157161, -0.6173761434355127, -0.3774877772182665, -0.026177908379110177, 0.39004524370692056, 0.7734734609157823, 1.0293831906045787, 1.2025200877397066, 1.319371799841147, 1.6046666044569564, 1.66660547004909, 1.5849164598203003, 1.5383744785244602, 1.163646418367259, 1.1515935067952299, 0.6569770271772417, 0.2822896494307881, 0.05236567513486075, -0.4280044421180979, -0.8566077653348092, -1.2114400865380917, -1.2854417257917798, -1.4337234301612893, -1.6237300469112845, -1.6771688397801015, -1.4955655783378126, -1.4320083910851984, -1.1973306555445509, -0.8863384242577887, -0.6321354918019414, -0.2391916837007513, 0.3185794212478879, 0.4878879776061564, 0.8411182696161694, 1.247696211530637, 1.46823343390434, 1.4918347423921652, 1.661455358874461, 1.4848690185832063, 1.384537879326144, 1.3573210702074248, 1.2637380532468907, 0.81592613461327, 0.5745574359810589, 0.009910286827683717, -0.2326488059632804, -0.7019347131686199, -1.053468990678352, -1.2355524155290958, -1.2411233590573265, -1.6809966055607501, -1.773130646244893, -1.463671562737444, -1.6430067398831143, -1.3019186643306564, -1.0921084541007553, -0.6256615695089265, -0.5732006325965908, -0.26514795389881507, 0.26720764679587805, 0.41785434173538816, 0.8931539722323525, 1.2465259015316132, 1.4359814326840141, 1.7358680243827576, 1.648476830803514, 1.7160787921027385, 1.473170538750134, 1.2384571972237235, 1.0952004965539814, 0.8259921130978793, 0.37371576792191274, 0.0893399508571947, -0.3496854154938072, -0.7796249336852923, -1.1079736516643726, -1.316242939327641, -1.5733169214089269, -1.5628900437835171, -1.6295970085025366, -1.5649467665969485, -1.3208644876989117, -1.284334120172875, -0.8179184943517396, -0.8140243457356092, -0.12543202661793215, 0.03725244591458212, 0.5448065700782113, 0.6838861459292951, 1.245116333543746, 1.538458692685938, 1.5383351165524224, 1.5827775398827608, 1.6187617314880374, 1.5706269494193386, 1.2496940572926913, 1.2668436056380479, 0.8860617669891802, 0.5179552321040888, 0.3158444481839632, -0.08551280063892902, -0.4980857681460794, -0.9057635663807541, -1.0640094179513664, -1.3792256445195363, -1.6729960226338787, -1.6714321286777891, -1.6553782320265094, -1.5034741199036497, -1.5420663456352455, -1.1047127836840942, -0.9979668057784193, -0.5316472484349928, -0.09782612723340119, 0.24013270561465846, 0.6693302091799405, 0.9035611190473544, 1.2433457447796075, 1.4751879717675542, 1.7756537878317509, 1.5604695483735034, 1.581895273299444, 1.582045027683923, 1.3098568219222304, 1.0098909790348667, 0.7342859001256713, 0.5915238007039991, 0.025697163757316496, -0.48038949064655595, -0.4855553524855397, -0.9347394323318631, -1.2320612281256458, -1.384637650124926, -1.6440665342462866, -1.534765975319481, -1.7749366388288625, -1.5702397228435996, -1.412042484323395, -1.1062164009394946, -0.8330151064882044, -0.5463317759408787, -0.168124977349104, 0.4820347758708147, 0.9214465238932833, 0.8839522975770217, 1.2406607852400977, 1.7205926372173015, 1.5778622029534621, 1.8167165048495946, 1.7363481289294411, 1.4855473694430457, 1.3168768627899063, 1.0589268817671227, 0.653305839723925, 0.24950932047757196, -0.20417586490422052, -0.4125882964786644, -0.7522276435798174, -1.1683695608554967, -1.4057573290399392, -1.5027149228352836, -1.5403567475759137, -1.6493045540918272, -1.656265824366705, -1.4500811492950128, -0.9522004516560174, -0.773719212199487, -0.41294189517746427, -0.17832400037663593, 0.20659539264989987, 0.5767997098684958, 0.6645476875665923, 1.161092175483269, 1.470760431473404, 1.474470542174449, 1.524810230856737, 1.6990941402376059, 1.5954167853500505, 1.3869796378159056, 0.9834397945778289, 0.720221727593275, 0.5739390344377016, 0.1948093848419505, -0.37544321288302296, -0.7661382435443987, -0.8696705523357167, -1.0919798714677609, -1.359985668707846, -1.672976078769898, -1.6876942572007407, -1.7103591744237567, -1.6751542395198922, -1.365354234261284, -0.9859795265171438, -0.9324596457272029, -0.4336766892250857, -0.10027407007675512, 0.41870757497195266, 0.5968455096296801, 0.9531420118825298, 1.2892602386773127, 1.444007574610729, 1.6578775675949604, 1.6153736302650503, 1.444063871492748, 1.477159325592063, 0.9720564351522751, 1.2546286756896072, 0.6926774624441691, 0.37993306923370784, 0.07693504302447052, -0.2639899917984241, -0.6082930389768038, -1.114196908758185, -1.060560738881255, -1.6085702207364705, -1.701344533109574, -1.7413229606419627, -1.6746979069889767, -1.4096017144111403, -1.1504167813263073, -1.1423008399440047, -0.5589694893061188, -0.3474194284577876, 0.17483111303880589, 0.46371011554060987, 0.7516646475933956, 1.0031451235712336, 1.6414952976149921, 1.3792141512949894, 1.8046781913294951, 1.776625648049654, 1.7613585093157256, 1.3495117004267196, 1.0567617292009226, 0.9450104449283661, 0.6269972581494484, 0.2298422000805348, -0.2637556387996818, -0.6971933543976427, -0.9478997453979434, -1.2867141411724476, -1.4703923580670448, -1.5764346166441356, -1.4591926658947283, -1.5166122991570727, -1.5144812282034965, -1.5246244998535505, -1.008083141211838, -0.7951518184754103, -0.6828753360906052, -0.11495285658379814, 0.20699988755498797, 0.607286478151749, 1.0921265084291147, 1.190431711837455, 1.3382580045994645, 1.6836026462621327, 1.6958384660482115, 1.5463909682346135, 1.5483123049466239, 1.3088445059230984, 1.0988216341794121, 0.8429523313728126, 0.4432582242530818, 0.23752485440864723, -0.36185432762972525, -0.5713741432001572, -0.9959615823023832, -1.2982053369519773, -1.4874699095269042, -1.5882227185515378, -1.6196276811368293, -1.536037304900376, -1.5423510625881867, -1.407177020208442, -1.0519468007487656, -0.5268316471579558, -0.5601771940667224, 0.01784229514600456, 0.36064295985988, 0.775382552424129, 0.9247696369253623, 1.241617832184691, 1.5009044860960297, 1.6724101499056456, 1.6506652202891572, 1.591091630529474, 1.4137565795442883, 1.2725676300295687, 1.0358938597449068, 0.563587965947863, 0.1380570733078984, -0.0028572870082986396, -0.43645724086904436, -0.7370703708189762, -1.136705972320792, -1.4859278932837947, -1.546588074764038, -1.6052287319048681, -1.5403371329876565, -1.4005891421355543, -1.2300947578027293, -1.3482027410446287, -0.9585716455492952, -0.6277284857596851, -0.30771407028326875, 0.09979084298396212, 0.6940676243312965, 0.9421167371348064, 1.14780846508433, 1.4312680135272828, 1.490956218692594, 1.602368622249379, 1.759795533581662, 1.6188866483808722, 1.4768423965306614, 1.278273953567883, 0.7371533791703125, 0.536320268247586, 0.16267515860260026, -0.14690235600560747, -0.7096253205755413, -1.0114423324400368, -1.1922762361563144, -1.517485927959456, -1.5214236222640345, -1.759856988830382, -1.5806104702933361, -1.5102332767478837, -1.381047447369706, -0.9651342717281766, -0.8794936406939563, -0.3020328380048416, 0.017972359094109297, 0.3354354125279838, 0.7068192586933051, 1.2242336782211494, 1.2631052907274132, 1.4776699202476014, 1.7648217235393453, 1.6046315014885137, 1.5272297578586815, 1.5097955109546493, 1.30722763340452, 0.913585478420033, 0.9625694840941055, 0.2788247386927942, -0.07724261601994398, -0.4337856590875857, -0.7103717035719117, -0.9265406627783012, -1.208689682341422, -1.458004098342239, -1.5650500217144225, -1.8550425176763548, -1.7242093098257725, -1.6013207048601144, -1.2317121060277836, -0.9632340602605817, -0.5766092007107255, -0.2902087503361971, 0.042060421867672546, 0.5866565550091519, 0.8521328595574654, 1.2849797701765124, 1.4203159653058002, 1.392802424798163, 1.657196557480573, 1.7478808489467377, 1.6399836428995946, 1.5398013308321696, 1.2615675979918677, 0.8409605174402026, 0.4758962904016356, 0.1858974216701535, -0.21737828459135863, -0.48593287087661863, -0.8998520815598658, -1.1966350175677631, -1.3901005170945686, -1.3791709956366496, -1.6427448851854503, -1.661832423589433, -1.6442420121017984, -1.296769050105456, -1.3672923485476935, -0.739791041683225, -0.33656666795614554, -0.21051193889581182, 0.08979141001369836, 0.658395350683865, 1.1103239575583101, 1.3817329771056288, 1.3588967548225601, 1.738445953819814, 1.567462163279236, 1.5494124853488989, 1.698579717711824, 1.3631800658685231, 1.0776512386621457, 0.8807515270212987, 0.28583783194407764, 0.0964748771000023, -0.25517756145515336, -0.9170543355459417, -1.0501681587436609, -1.1889349474599535, -1.6668343387901887, -1.5905804575916596, -1.6654199080465026, -1.5648905625868845, -1.568100389706411, -1.1677294094124249, -1.0162558304033578, -0.7696549519224143, -0.41873294325683036, 0.04287753519683214, 0.49004019273717814, 0.7397653116471602, 1.1666081254059357, 1.3070229357842484, 1.3322362383380923, 1.7172048533278883, 1.8480560256509366, 1.6413089147480338, 1.4742703027318602, 1.2791150089449475, 1.0215067615981157, 0.6446619672568249, 0.3711174826711816, -0.07753089810613939, -0.4548283436860242, -0.7929415916624513, -1.0062897297293891, -1.283208358294297, -1.5075178736262937, -1.680138408198542, -1.6956081094734694, -1.5975127381435208, -1.4218231656230558, -1.3098954703128767, -0.9399324733128406, -0.7370495466568054, -0.3231801581888135, 0.30259767753901035, 0.5777174393770124, 0.8890167533882597, 1.241305698861122, 1.4396745680395695, 1.4996226680016815, 1.5869203812132415, 1.7435910850967917, 1.4127822505974004, 1.3432031928363348, 1.0182460555619393, 0.9242614247869152, 0.3917603924514358, 0.08015862055942502, -0.21924273833714217, -0.6825665072379794, -0.8837425952567278, -1.2195225558637186, -1.4247315398108291, -1.5794363639386977, -1.7656663002082924, -1.6747002069197066, -1.5481451507640192, -1.232206189933363, -1.039126317954131, -0.7084990880720933, -0.4580398619784291, -0.20334370007735159, 0.1807684525881335, 0.7434801147502086, 0.8832164907237592, 1.225673600489754, 1.3560388707174076, 1.5816595092843528, 1.6388507653935338, 1.752671464728317, 1.5928052682389626, 1.2390207625157017, 1.0576711788099156, 0.6971256092982829, 0.24947586775549774, -0.08945801169222166, -0.42720200453973334, -0.6963855758403471, -1.1267020833146781, -1.4544885173123279, -1.5820181313476103, -1.577649821221764, -1.7584492388944928, -1.3878391209441445, -1.6564451441510932, -1.482424693318745, -1.0765708364383413, -0.6455391411071898, -0.3376483783809872, -0.07204772503268952, 0.6105607719166118, 0.8930943547883592, 1.0660333398523316, 1.2191923174668124, 1.4319267996701754, 1.7206902191232234, 1.7116352871364262, 1.5135778620216862, 1.379234655872946, 1.2095433237743678, 1.158681643667082, 0.5209891756605951, 0.16232855136067803, -0.2431188508939518, -0.47613468703133033, -0.8248986219775895, -1.1904988635361706, -1.364163970283517, -1.6370606742888296, -1.6051030700197753, -1.6191590702999787, -1.6578271694023772, -1.2853936475533603, -1.1062106254885422, -0.6127089625780373, -0.40316848073253464, -0.27032550525061644, 0.29545812679523703, 0.5575522550913646, 1.0110664023372062, 1.42952645286374, 1.6379525778297457, 1.526757256372959, 1.612071527981547, 1.567782213668552, 1.4760981980836636, 1.4005152243120658, 1.2790341349965646, 0.8617857250534594, 0.35682349363654525, -0.03688481839386219, -0.3342176444416832, -0.7079350866500406, -1.1814931096867345, -1.211363039419507, -1.2989603983827727, -1.6449333801322168, -1.750582616093529, -1.6707577163627119, -1.4510555772176617, -1.4265408811439033, -1.0381390898599252, -0.890799656813905, -0.33660857534037614, 0.00692189484560434, 0.45349793530686605, 0.7369520687352591, 1.0579821494122403, 1.3789456182453743, 1.577152480840488, 1.4915023716148244, 1.6117986550141732, 1.5348194860524582, 1.3358420984835226, 1.0917170753892962, 0.9590764364741553, 0.5876278134485177, 0.42539198160011493, 0.0881023044877088, -0.5742884820551024, -0.7258756959786663, -1.178043901681462, -1.325838250981617, -1.5507661190901032, -1.616562500944448, -1.6368582965566394, -1.7346703755969943, -1.5123926840822148, -1.2432381863051338, -0.8102998357255063, -0.5737746874263385, -0.12992438021794395, 0.12054861966418226, 0.4821445097801293, 0.8422361150850296, 1.1256099176906496, 1.3397941620232996, 1.658122684539672, 1.6373571342705229, 1.6243093669408388, 1.366686927779353, 1.307671177744441, 1.0993236444682501, 0.9396478807835379, 0.5739625278120464, 0.1273673812292374, -0.12210603623940014, -0.5927117366576511, -0.8191078798858502, -1.198940254784953, -1.4466796571744487, -1.652480453341787, -1.6828178693863498, -1.6542868833048214, -1.568268960555621, -1.5828728943231036, -1.1207884981268252, -0.8249066246733886, -0.35791098430834023, -0.18232608194843453, 0.4943390682969945, 0.6957065454080866 ]
Which additive combination of patterns best describes the time series?
[ "SawtoothWave + SquareWave", "SineWave + SquareWave", "SineWave + SawtoothWave" ]
SineWave + SawtoothWave
multiple-choice
null
null
16
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave", "Additive Composition" ]
Imagine the shape of the time series as addition of two different patterns.
Pattern Recognition
Cycle Recognition
413
[ -1.2997860292967585, -1.1891082906577222, -1.0789637550973785, -0.9698818856579295, -0.8623846915422635, -0.7569830665944597, -0.6541732057465492, -0.5544331245675831, -0.45821930632786745, -0.36596350009680656, -0.2780696923333913, -0.19491127321145418, -0.11682841755587903, -0.044125698760621, 0.022930047574817092, 0.08411159530539392, 0.13923292156867506, 0.18815051160155694, 0.23076436539321288, 0.26701869911332077, 0.2969023363955513, 0.3204487867317479, 0.3377360104269179, 0.34888587176370733, 0.35406328421201694, 0.3534750536795027, 0.3473684279167215, 0.3360293622518087, 0.31978051381931105, 0.29897897835221565, 0.2740137854119561, 0.24530316962555554, 0.21329163707022247, 0.17844684738259148, 0.14125633346238942, 0.10222408177943396, 0.061866997270660334, 0.02071127762338796, -0.020711277623387335, -0.06186699727065992, -0.10222408177943335, -0.1412563334623888, -0.1784468473825913, -0.21329163707022186, -0.24530316962555504, -0.27401378541195587, -0.2989789783522152, -0.3197805138193113, -0.3360293622518088, -0.34736842791672107, -0.35347505367950294, -0.35406328421201705, -0.3488858717637071, -0.3377360104269177, -0.32044878673174804, -0.2969023363955514, -0.26701869911332066, -0.230764365393213, -0.18815051160155716, -0.13923292156867517, -0.0841115953053937, -0.02293004757481698, 0.04412569876062078, 0.11682841755587925, 0.19491127321145363, 0.27806969233339074, 0.3659635000968062, 0.45821930632786745, 0.554433124567583, 0.654173205746549, 0.756983066594459, 0.8623846915422635, 0.9698818856579289, 1.0789637550973785, 1.189108290657722, -1.2997860292967587, -1.189108290657723, -1.0789637550973785, -0.9698818856579303, -0.8623846915422632, -0.7569830665944601, -0.6541732057465497, -0.554433124567584, -0.458219306327867, -0.36596350009680656, -0.2780696923333913, -0.19491127321145452, -0.11682841755587936, -0.04412569876062156, 0.022930047574817314, 0.08411159530539392, 0.13923292156867506, 0.18815051160155682, 0.23076436539321288, 0.26701869911332077, 0.2969023363955512, 0.3204487867317478, 0.33773601042691825, 0.34888587176370756, 0.3540632842120167, 0.3534750536795024, 0.34736842791672184, 0.336029362251809, 0.3197805138193116, 0.2989789783522159, 0.2740137854119561, 0.24530316962555576, 0.21329163707022225, 0.17844684738259137, 0.1412563334623908, 0.1022240817794334, 0.06186699727065975, 0.02071127762338737, -0.020711277623386704, -0.06186699727065932, -0.10222408177943429, -0.14125633346238864, -0.1784468473825907, -0.2132916370702217, -0.24530316962555515, -0.27401378541195565, -0.2989789783522153, -0.31978051381931105, -0.3360293622518088, -0.3473684279167214, -0.35347505367950205, -0.3540632842120174, -0.34888587176370733, -0.3377360104269175, -0.3204487867317478, -0.2969023363955512, -0.26701869911332066, -0.230764365393213, -0.18815051160155727, -0.13923292156867528, -0.0841115953053938, -0.022930047574817092, 0.04412569876062067, 0.11682841755587914, 0.19491127321145407, 0.2780696923333901, 0.36596350009680545, 0.4582193063278679, 0.5544331245675834, 0.6541732057465481, 0.7569830665944588, 0.8623846915422626, 0.9698818856579302, 1.0789637550973783, 1.1891082906577217, -1.299786029296759, -1.1891082906577224, -1.0789637550973803, -0.9698818856579297, -0.8623846915422634, -0.7569830665944597, -0.6541732057465506, -0.5544331245675842, -0.4582193063278671, -0.3659635000968061, -0.27806969233339207, -0.19491127321145463, -0.11682841755587947, -0.044125698760621224, 0.022930047574816315, 0.08411159530539325, 0.1392329215686755, 0.18815051160155694, 0.23076436539321288, 0.26701869911332077, 0.2969023363955512, 0.3204487867317478, 0.33773601042691825, 0.34888587176370767, 0.3540632842120175, 0.3534750536795034, 0.34736842791672284, 0.33602936225180813, 0.3197805138193106, 0.298978978352216, 0.2740137854119563, 0.24530316962555593, 0.21329163707022247, 0.17844684738259153, 0.14125633346239103, 0.10222408177943518, 0.06186699727066157, 0.0207112776233876, -0.020711277623388098, -0.06186699727066071, -0.1022240817794341, -0.14125633346238842, -0.17844684738259203, -0.21329163707022153, -0.2453031696255536, -0.2740137854119554, -0.298978978352214, -0.31978051381931094, -0.33602936225180957, -0.3473684279167213, -0.3534750536795035, -0.35406328421201727, -0.34888587176370656, -0.3377360104269178, -0.3204487867317477, -0.2969023363955511, -0.26701869911332066, -0.2307643653932131, -0.18815051160155727, -0.13923292156867495, -0.0841115953053938, -0.022930047574816648, 0.04412569876062067, 0.11682841755587814, 0.19491127321145396, 0.27806969233338996, 0.36596350009680645, 0.45821930632786656, 0.5544331245675805, 0.6541732057465508, 0.7569830665944601, 0.8623846915422624, 0.96988188565793, 1.078963755097378, 1.189108290657723, -1.2997860292967591, -1.1891082906577242, -1.078963755097379, -0.9698818856579314, -0.8623846915422666, -0.7569830665944584, -0.6541732057465494, -0.5544331245675844, -0.45821930632786734, -0.36596350009680745, -0.27806969233339107, -0.19491127321145474, -0.11682841755588047, -0.044125698760621335, 0.022930047574816204, 0.0841115953053937, 0.1392329215686754, 0.18815051160155682, 0.23076436539321288, 0.26701869911332077, 0.2969023363955514, 0.3204487867317479, 0.33773601042691836, 0.3488858717637072, 0.3540632842120176, 0.35347505367950427, 0.3473684279167202, 0.33602936225180824, 0.31978051381931194, 0.298978978352215, 0.27401378541195653, 0.24530316962555754, 0.2132916370702227, 0.17844684738259325, 0.1412563334623897, 0.10222408177943537, 0.0618669972706634, 0.020711277623386204, -0.020711277623387876, -0.06186699727065886, -0.10222408177943387, -0.1412563334623882, -0.1784468473825918, -0.2132916370702213, -0.24530316962555343, -0.2740137854119553, -0.29897897835221376, -0.31978051381931083, -0.33602936225180946, -0.3473684279167212, -0.3534750536795034, -0.35406328421201716, -0.34888587176370656, -0.3377360104269178, -0.3204487867317477, -0.2969023363955511, -0.26701869911332066, -0.2307643653932131, -0.18815051160155727, -0.13923292156867495, -0.08411159530539392, -0.02293004757481676, 0.04412569876062056, 0.11682841755587792, 0.19491127321145374, 0.27806969233338974, 0.36596350009680634, 0.45821930632786634, 0.5544331245675804, 0.6541732057465506, 0.7569830665944599, 0.8623846915422622, 0.9698818856579298, 1.0789637550973779, 1.1891082906577228, -1.2997860292967593, -1.1891082906577244, -1.0789637550973792, -0.9698818856579317, -0.8623846915422668, -0.7569830665944586, -0.6541732057465495, -0.5544331245675845, -0.45821930632786745, -0.36596350009680767, -0.2780696923333912, -0.19491127321145485, -0.11682841755588058, -0.044125698760621446, 0.022930047574816093, 0.0841115953053937, 0.1392329215686754, 0.18815051160155682, 0.23076436539321288, 0.26701869911332077, 0.2969023363955515, 0.3204487867317479, 0.33773601042691836, 0.34888587176370844, 0.3540632842120177, 0.3534750536795044, 0.3473684279167222, 0.33602936225180846, 0.31978051381931427, 0.2989789783522152, 0.2740137854119593, 0.24530316962555765, 0.21329163707021997, 0.17844684738259348, 0.14125633346238992, 0.1022240817794356, 0.061866997270660404, 0.020711277623389653, -0.020711277623387647, -0.06186699727065867, -0.10222408177943365, -0.14125633346238492, -0.1784468473825916, -0.21329163707022397, -0.2453031696255532, -0.27401378541195776, -0.29897897835221365, -0.3197805138193106, -0.33602936225180724, -0.34736842791672107, -0.3534750536795017, -0.35406328421201705, -0.34888587176370534, -0.3377360104269177, -0.32044878673174826, -0.2969023363955511, -0.26701869911332066, -0.2307643653932131, -0.18815051160155738, -0.13923292156867584, -0.08411159530539392, -0.02293004757481798, 0.044125698760620446, 0.11682841755587958, 0.19491127321145363, 0.27806969233339185, 0.3659635000968061, 0.45821930632786867, 0.5544331245675802, 0.6541732057465504, 0.7569830665944567, 0.8623846915422619, 0.9698818856579264, 1.0789637550973776, 1.1891082906577226, -1.2997860292967596, -1.1891082906577215, -1.0789637550973794, -0.9698818856579288, -0.862384691542267, -0.7569830665944587, -0.6541732057465526, -0.5544331245675848, -0.4582193063278728, -0.36596350009680545, -0.2780696923333892, -0.19491127321145496, -0.11682841755587892, -0.044125698760623, 0.02293004757481598, 0.08411159530539358, 0.13923292156867528, 0.18815051160155638, 0.23076436539321266, 0.26701869911332077, 0.2969023363955511, 0.3204487867317475, 0.3377360104269185, 0.34888587176370744, 0.35406328421201916, 0.35347505367950116, 0.3473684279167223, 0.33602936225180857, 0.3197805138193144, 0.29897897835221765, 0.274013785411957, 0.24530316962555515, 0.2132916370702202, 0.1784468473825937, 0.14125633346239008, 0.10222408177943898, 0.061866997270657434, 0.020711277623389875, -0.020711277623387425, -0.06186699727065523, -0.10222408177943029, -0.14125633346238775, -0.17844684738259142, -0.2132916370702238, -0.24530316962555304, -0.274013785411955, -0.2989789783522159, -0.3197805138193127, -0.33602936225180713, -0.34736842791672085, -0.35347505367950005, -0.3540632842120156, -0.34888587176370855, -0.3377360104269177, -0.32044878673174826, -0.2969023363955511, -0.26701869911332066, -0.230764365393213, -0.18815051160155694, -0.13923292156867595, -0.08411159530539392, -0.022930047574819312, 0.04412569876061878, 0.11682841755588125, 0.19491127321145352, 0.27806969233339174, 0.3659635000968037, 0.4582193063278659, 0.5544331245675826, 0.6541732057465502, 0.7569830665944566, 0.8623846915422617, 0.9698818856579231, 1.0789637550973805, 1.1891082906577257, -1.2997860292967598, -1.1891082906577217, -1.0789637550973827, -0.9698818856579321, -0.8623846915422643, -0.7569830665944589, -0.6541732057465528, -0.554433124567585, -0.458219306327873, -0.36596350009680567, -0.2780696923333894, -0.19491127321145518, -0.11682841755587903, -0.04412569876062311, 0.02293004757481587, 0.08411159530539347, 0.13923292156867528, 0.18815051160155638, 0.23076436539321266, 0.26701869911332077, 0.2969023363955512, 0.3204487867317475, 0.3377360104269186, 0.34888587176370744, 0.35406328421201927, 0.35347505367950127, 0.3473684279167224, 0.3360293622518087, 0.3197805138193146, 0.2989789783522179, 0.2740137854119572, 0.24530316962555532, 0.21329163707022042, 0.17844684738259387, 0.14125633346239036, 0.1022240817794392, 0.061866997270657656, 0.020711277623390097, -0.02071127762338721, -0.061866997270655005, -0.10222408177943007, -0.14125633346238758, -0.1784468473825912, -0.21329163707022358, -0.24530316962555282, -0.27401378541195476, -0.29897897835221565, -0.3197805138193126, -0.3360293622518069, -0.34736842791672073, -0.35347505367949994, -0.3540632842120155, -0.34888587176370855, -0.3377360104269177, -0.32044878673174826, -0.2969023363955511, -0.26701869911332055, -0.230764365393213, -0.18815051160155705, -0.13923292156867595, -0.08411159530539403, -0.022930047574819423, 0.04412569876061867, 0.11682841755588103, 0.1949112732114534, 0.2780696923333915, 0.36596350009680356, 0.4582193063278658, 0.5544331245675825, 0.65417320574655, 0.7569830665944564, 0.8623846915422615, 0.9698818856579229, 1.0789637550973805, 1.1891082906577255, -1.29978602929676, -1.189108290657722, -1.078963755097383, -0.9698818856579323, -0.8623846915422644, -0.7569830665944592, -0.654173205746553, -0.5544331245675851, -0.458219306327873, -0.3659635000968058, -0.2780696923333895, -0.1949112732114553, -0.11682841755587925, -0.04412569876062322, 0.02293004757481587, 0.08411159530539336, 0.13923292156867517, 0.18815051160155627, 0.23076436539321266, 0.26701869911332077, 0.2969023363955512, 0.3204487867317475, 0.3377360104269186, 0.34888587176370756, 0.3540632842120194, 0.3534750536795014, 0.3473684279167226, 0.3360293622518088, 0.3197805138193148, 0.2989789783522181, 0.2740137854119572, 0.24530316962555554, 0.21329163707022059, 0.1784468473825941, 0.14125633346239053, 0.10222408177943942, 0.06186699727065789, 0.02071127762339032, -0.020711277623386988, -0.06186699727065478, -0.10222408177942982, -0.1412563334623873, -0.17844684738259098, -0.21329163707022336, -0.2453031696255527, -0.27401378541195454, -0.29897897835221554, -0.3197805138193124, -0.3360293622518068, -0.34736842791672073, -0.35347505367949983, -0.3540632842120154, -0.34888587176370855, -0.3377360104269176, -0.32044878673174815, -0.29690233639555097, -0.26701869911332055, -0.230764365393213, -0.18815051160155705, -0.13923292156867606, -0.08411159530539414, -0.022930047574819534, 0.04412569876061856, 0.11682841755588091, 0.1949112732114533, 0.2780696923333914, 0.36596350009680334, 0.45821930632786556, 0.5544331245675823, 0.6541732057465498, 0.7569830665944561, 0.8623846915422613, 0.9698818856579227, 1.0789637550973803, 1.1891082906577253, -1.2997860292967602, -1.1891082906577222, -1.0789637550973832, -0.9698818856579325, -0.8623846915422646, -0.7569830665944594, -0.6541732057465532, -0.5544331245675853, -0.4582193063278732, -0.3659635000968059, -0.27806969233338974, -0.1949112732114554, -0.11682841755587936, -0.04412569876062333, 0.02293004757481576, 0.08411159530539336, 0.13923292156867517, 0.18815051160155627, 0.23076436539321266, 0.26701869911332077, 0.2969023363955512, 0.3204487867317475, 0.3377360104269187, 0.34888587176370756, 0.3540632842120195, 0.3534750536795015, 0.34736842791672273, 0.336029362251809, 0.31978051381931494, 0.2989789783522182, 0.2740137854119574, 0.24530316962555576, 0.2132916370702208, 0.17844684738259425, 0.14125633346239075, 0.10222408177943965, 0.061866997270658086, 0.02071127762339054, -0.02071127762338676, -0.061866997270654575, -0.10222408177942963, -0.14125633346238714, -0.17844684738259076, -0.2132916370702232, -0.2453031696255525, -0.2740137854119544, -0.29897897835221054, -0.3197805138193123, -0.3360293622518067, -0.3473684279167206, -0.3534750536794997, -0.3540632842120153, -0.3488858717637062, -0.33773601042691925, -0.32044878673174815, -0.29690233639555097, -0.26701869911332043, -0.230764365393213, -0.18815051160155705, -0.13923292156867606, -0.08411159530539614, -0.022930047574817092, 0.04412569876061845, 0.11682841755587736, 0.19491127321145696, 0.2780696923333912, 0.36596350009680323, 0.45821930632786034, 0.5544331245675822, 0.6541732057465497, 0.7569830665944559, 0.862384691542255, 0.9698818856579287, 1.0789637550973736, 1.1891082906577186, -1.299786029296754, -1.1891082906577224, -1.0789637550973834, -0.9698818856579328, -0.8623846915422588, -0.7569830665944596, -0.6541732057465534, -0.5544331245675909, -0.45821930632786834, -0.365963500096806, -0.2780696923333942, -0.19491127321145163, -0.11682841755587947, -0.044125698760623444, 0.02293004757481576, 0.08411159530539536, 0.13923292156867506, 0.18815051160155627, 0.2307643653932122, 0.26701869911332077, 0.2969023363955512, 0.3204487867317487, 0.3377360104269169, 0.34888587176370767, 0.3540632842120196, 0.3534750536795048, 0.3473684279167192, 0.3360293622518091, 0.31978051381931516, 0.2989789783522233, 0.27401378541195764, 0.24530316962555582, 0.21329163707022675, 0.17844684738258848, 0.14125633346239097, 0.10222408177943984, 0.06186699727066472, 0.020711277623384317, -0.020711277623386537, -0.06186699727065435, -0.1022240817794357, -0.14125633346238692, -0.17844684738259053, -0.2132916370702172, -0.24530316962555776, -0.2740137854119542, -0.2989789783522103, -0.3197805138193075, -0.3360293622518107, -0.3473684279167204, -0.3534750536794995, -0.35406328421201805, -0.3488858717637061, -0.3377360104269175, -0.3204487867317468, -0.29690233639555164, -0.26701869911332055, -0.230764365393213, -0.18815051160155805, -0.13923292156867462, -0.08411159530539425, -0.022930047574819756, 0.044125698760621446, 0.11682841755588069, 0.19491127321145296, 0.27806969233338674, 0.3659635000968078, 0.45821930632786534, 0.554433124567582, 0.6541732057465437, 0.7569830665944616, 0.8623846915422608, 0.9698818856579222, 1.0789637550973796, 1.1891082906577248, -1.2997860292967607, -1.189108290657729, -1.0789637550973774, -0.969881885657933, -0.862384691542265, -0.7569830665944657, -0.6541732057465479, -0.5544331245675856, -0.45821930632787355, -0.3659635000968062, -0.27806969233338996, -0.19491127321145574, -0.11682841755588291, -0.04412569876062067, 0.02293004757481565, 0.08411159530539125, 0.13923292156867206, 0.18815051160155616, 0.230764365393213, 0.26701869911332077, 0.29690233639555064, 0.3204487867317476, 0.3377360104269188, 0.34888587176371, 0.3540632842120168, 0.35347505367950494, 0.3473684279167266, 0.33602936225180924, 0.31978051381931527, 0.29897897835221365, 0.27401378541195776, 0.2453031696255506, 0.2132916370702212, 0.1784468473825947, 0.14125633346239735, 0.10222408177943376, 0.06186699727066494, 0.020711277623397438, -0.020711277623386315, -0.061866997270666926, -0.10222408177943551, -0.1412563334623867, -0.17844684738259636, -0.21329163707022275, -0.2453031696255521, -0.27401378541194876, -0.2989789783522151, -0.3197805138193075, -0.33602936225180224, -0.3473684279167203, -0.3534750536795058, -0.35406328421201794, -0.348885871763706, -0.33773601042691914, -0.32044878673174804, -0.29690233639555097, -0.26701869911332043, -0.230764365393213, -0.18815051160155805, -0.13923292156867761, -0.08411159530539436, -0.02293004757481476, 0.044125698760621335, 0.11682841755587714, 0.19491127321145685, 0.27806969233339085, 0.3659635000968028, 0.45821930632786, 0.5544331245675818, 0.6541732057465436, 0.7569830665944496, 0.8623846915422606, 0.9698818856579345, 1.0789637550973796, 1.1891082906577182, -1.2997860292967545, -1.1891082906577228, -1.0789637550973838, -0.9698818856579394, -0.8623846915422653, -0.7569830665944659, -0.6541732057465481, -0.5544331245675859, -0.4582193063278637, -0.36596350009680645, -0.2780696923333944, -0.19491127321145196, -0.11682841755587958, -0.044125698760623666, 0.022930047574812984, 0.08411159530539314, 0.1392329215686735, 0.18815051160155705, 0.23076436539321343, 0.26701869911332066, 0.2969023363955513, 0.3204487867317488, 0.33773601042691703, 0.3488858717637078, 0.3540632842120198, 0.3534750536795084, 0.34736842791672307, 0.33602936225181357, 0.31978051381931083, 0.298978978352209, 0.27401378541195276, 0.24530316962555626, 0.21329163707022714, 0.17844684738258887, 0.14125633346239141, 0.10222408177944028, 0.061866997270671575, 0.020711277623391207, -0.02071127762337964, -0.06186699727066031, -0.10222408177944162, -0.1412563334623927, -0.17844684738259015, -0.2132916370702168, -0.24530316962555743, -0.27401378541195387, -0.29897897835221, -0.3197805138193027, -0.33602936225180624, -0.3473684279167164, -0.3534750536795025, -0.3540632842120205, -0.3488858717637082, -0.33773601042691737, -0.3204487867317468, -0.2969023363955515, -0.26701869911332055, -0.23076436539321343, -0.18815051160155905, -0.13923292156867617, -0.08411159530539247, -0.022930047574817425, 0.04412569876062422, 0.11682841755588047, 0.19491127321145263, 0.2780696923333864, 0.36596350009680734, 0.4582193063278649, 0.5544331245675762, 0.6541732057465377, 0.7569830665944552, 0.8623846915422666, 0.9698818856579281, 1.0789637550973856, 1.1891082906577244, -1.2997860292967611, -1.1891082906577295, -1.0789637550973779, -0.9698818856579334, -0.8623846915422716, -0.7569830665944719, -0.6541732057465539, -0.5544331245675806, -0.4582193063278689, -0.3659635000968019, -0.2780696923333903, -0.19491127321145596, -0.11682841755588325, -0.04412569876062078, 0.022930047574815426, 0.08411159530539103, 0.13923292156867195, 0.18815051160155616, 0.230764365393213, 0.26701869911332077, 0.29690233639555064, 0.3204487867317477, 0.3377360104269189, 0.3488858717637101, 0.35406328421201705, 0.35347505367950527, 0.34736842791672695, 0.3360293622518178, 0.3197805138193155, 0.2989789783522141, 0.2740137854119582, 0.24530316962555088, 0.21329163707022164, 0.17844684738259514, 0.14125633346239774, 0.1022240817794342, 0.06186699727066537, 0.020711277623397882, -0.02071127762338587, -0.06186699727066651, -0.10222408177943507, -0.14125633346238625, -0.17844684738259592, -0.21329163707022236, -0.2453031696255517, -0.27401378541194843, -0.29897897835221465, -0.31978051381930717, -0.336029362251802, -0.34736842791671996, -0.3534750536795056, -0.3540632842120177, -0.3488858717637059, -0.3377360104269189, -0.3204487867317479, -0.29690233639555086, -0.26701869911332043, -0.230764365393213, -0.18815051160155816, -0.13923292156867773, -0.08411159530539447, -0.022930047574814982, 0.04412569876062111, 0.11682841755587692, 0.19491127321145651, 0.27806969233339063, 0.36596350009680256, 0.4582193063278597, 0.5544331245675814, 0.6541732057465433, 0.7569830665944492, 0.8623846915422603, 0.9698818856579341, 1.0789637550973792, 1.1891082906577177, -1.299786029296755, -1.1891082906577233, -1.0789637550973843, -0.9698818856579399, -0.8623846915422657, -0.7569830665944663, -0.6541732057465598, -0.5544331245675862, -0.458219306327864, -0.3659635000968068, -0.27806969233339474, -0.19491127321145219, -0.11682841755587992, -0.044125698760624, 0.022930047574812873, 0.08411159530539303, 0.1392329215686734, 0.18815051160155705, 0.23076436539321332, 0.26701869911332066, 0.2969023363955513, 0.3204487867317489, 0.33773601042691714, 0.348885871763708, 0.35406328421201994, 0.3534750536795086, 0.3473684279167233, 0.3360293622518138, 0.31978051381931116, 0.2989789783522093, 0.2740137854119531, 0.24530316962555665, 0.21329163707022758, 0.1784468473825893, 0.1412563334623918, 0.10222408177944073, 0.061866997270672006, 0.02071127762339165, -0.020711277623379203, -0.061866997270659876, -0.10222408177944114, -0.14125633346239225, -0.17844684738258976, -0.21329163707021642, -0.24530316962555704, -0.27401378541195354, -0.29897897835220966, -0.3197805138193024, -0.3360293622518059 ]
The given time series is a gaussian white noise process. What is the most likely noise level (variance)?
[ "1.57", "8.18", "3.46" ]
1.57
multiple_choice
null
null
51
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise" ]
The noise level refers to the standard deviation of the noise. You should check the degree of variation of the time series over time. You can estimate the standard deviation by observing the average distance between the data points and the mean.
Noise Understanding
White Noise Recognition
414
[ 0.6215235832919528, 0.8431645695315495, -2.2946150628756663, 0.21203493612516866, 1.278260125286139, 0.7570189302433065, -0.0036042979033373487, -0.5685800407147079, -0.4987631151943392, -2.6922187705770697, -0.9325809029880947, -0.4543421519255149, -2.7637603233574537, 1.8228257353821902, 1.4716768075291309, -3.994038092711511, 0.0917227561303886, 0.02434603633333142, -1.0345315716150791, 0.30894862303618414, 1.2287069666057646, -1.099041719200173, 0.5900896618987685, -3.1350185366052985, 1.462593808201091, 0.8607171649726763, -1.2947990910781932, 0.6991415169163782, -0.9455826670719081, -0.9707982908036922, -1.324956257448395, -2.619664070001028, -1.0782831246516882, 1.4679249350039876, -0.4568808811803735, -2.3295124311624082, -2.8232813830582346, 2.429964308593593, -1.7681829022626623, 0.8345454300013064, 1.300604713049464, 2.3156794159991447, 0.7927127800206047, 1.3956749487026414, 1.7091366026363977, -3.6192509959192867, 1.7013886366465627, -1.6275033371033458, -1.7765026188582052, -0.9237933102587056, -0.6330311804023688, 0.4294893137813579, 0.4291543586682752, 1.1449691454660256, 4.171797232599951, -3.574648673839962, -3.4931514307515985, 0.874596642984893, -2.402914091062083, -0.014027091299469444, 1.2979815721509858, -2.092332041037143, -1.3063876051129837, 1.526564212492558, -1.5171044938466631, -2.6057333361823867, -0.4434248042842292, 0.6273462416045279, 0.20524011487196867, -0.6978348080036252, 0.8452783047334252, 0.9440439925903484, -0.37333869795547725, -0.8217974739342158, 0.25719342675344536, -0.5461234770201565, 2.456520775710881, -0.7222530859103263, -2.569454385734317, -0.2954006528484532, 2.438509567763532, -2.0303658071994795, 1.27773578444413, 2.2596786593212848, -0.35673145068792844, 2.2539754641295575, -0.9648324075172603, -2.774049237619999, 0.2850191895287203, 0.730256221416008, 0.3614818781796424, 0.9326899045969144, 1.2338822351268706, 0.29268880287246585, -0.03660051002260656, -0.24653481936981203, -0.20080580927769784, -3.046130427287845, -4.0368192753203305, 1.211782752239485, -0.2818329799891475, 0.2851191168944027, 1.3971564481401102, 1.193708999395215, -0.8667785602993557, -0.3431409065463741, 1.048947621494937, -0.017486158303991736, -0.8764621467575235, 4.083706351950245, -2.500350249577152, -0.5002421359922627, -0.03160123384235314, 0.21507349810829762, -2.78375787582353, -2.476039684237849, 1.247876473659297, -0.061416719950335784, 0.32908917173617463, -0.44656961406286044, 0.5506305100329927, -3.30973253999508, 0.37822195725174995, -2.4976585572486156, -2.1478750793064907, 2.804603424292897, 0.5749060670735167, -1.7094027298139531, 0.7637008335023762, 2.030587234071985, -0.745524513642114, -2.1108278260317075, 0.8355521849338371, 0.9481010991153256, 0.9218949589714976, -3.3254115813580407, 0.32130498341403463, -0.11774948997313373, 0.9307224312312249, 0.8741857943194716, 0.29155614149428866, 0.9012858909443511, 0.8280360621723323, 1.241216683395075, -0.7985530744124354, 0.6904911583617629, -0.5788389815779595, 1.5920375809412879, -1.4641764547840346, -0.974692131469113, 3.066668778331729, 1.2642648856374596, -0.6466699953535072, -1.3960719014039515, -0.5471707624442275, 0.786357834334254, 1.5103552114861079, -0.8569593427625711, -1.043926680896335, -3.0487355544451247, -1.7265820001142897, -0.2940737022606519, 1.8093323608417065, 0.9065426943547907, 2.879414124889549, 1.5694879480844737, 1.8546162016041343, -1.0983880072952992, 0.9435907951029914, 0.020788743838441103, 2.3478847534818046, 0.9992212794276429, 0.08101527101950559, -0.24416335015572843, -3.78576748566282, -2.5665075072477506, 1.496197941496822, -1.6434765224343304, 1.0908479132184177, -1.5075425737042905, -0.09475875474920331, -2.79423873662829, 0.15063077079922121, -0.998840457626636, 1.4545957926888862, 1.9395596964029145, -2.353034682574932, 0.3831042170643675, -1.5260911259229948, -1.1389315891031822, 1.064515933824059, -1.6017982823185246, 2.931901948525614, 0.3395102464582047, 0.8158401459112313, 0.6418173139721481, 2.7256644607618026, -0.6447530214500894, -1.5476659521675078, -2.1378823563468337, 0.6763482313647545, 1.429148517594104, 2.1865263076961794, 3.034433605456581, -1.0945114845643422, 1.3331222331054036, 2.000754030139078, -0.5042703101615122, -0.1793374880495785, 0.5074831245511171, 0.06425474734527681, 0.019849225883411495, 0.41721971682446135, 0.6930834752160321, -4.255960856406988, 1.4823403157929138, -0.4547626173331079, 1.1127493898110945, -0.44746121403962946, -1.4434660489813353, -0.7028909108470465, -0.11680061589342898, -1.5216485329667908, -1.2611084573227191, -0.35642394218471307, 1.5736228526804041, 0.27411550084865083, -1.3086735552773863, -2.6148868029908057, -1.5110577719726896, -0.07097396772389108, -0.13170453342283792, 1.2872270941366595, -1.2418265589594901, -0.9033577769493547, -1.1062197719442721, 0.5259413282642141, 2.2506665377469286, 0.5548218112425894, -1.7133505823753623, 2.2264565610897, -2.8443852283656192, 0.3287537699602139, 0.5631841239607366, -0.5365120629295476, 1.1840963380516214, -1.8341880377543893, -1.6659989264623498, 0.7198194901793067, -0.5610514481285742, 0.3082450667545942, -1.4132717410438613, 1.841808292980454, -0.18534423989746635, 2.1762649508798995, 0.6076157034033333, -1.9160665888952098, -0.8803875290229423, 0.8617206025786629, -0.07465343677798432, -1.2612339356160982, 0.3342003335194986, -1.1007709429842347, -0.25864985421417136, 0.7112235551782409, 0.02506724020119419, 0.16346629703425875, 0.6344956384640513, -1.1492062739609432, -0.7072105842530607, -0.36428291491971254, 1.1100114925252778, 1.1964427035501057, -0.8839811208657965, -2.561201900443513, -1.7813775407554888, -0.5105040179345476, 1.7654913528525196, 2.6395077864441054, 0.27627850407877363, 1.173912919854422, -0.27626931181615527, -1.1683292642725494, -1.5673652495839319, -1.603191344546822, -1.2763952133843572, -3.4036284552292035, 0.20899053651942057, 0.29067200720309966, 1.0326682496553679, 1.6480882598052873, -0.3865283730611744, 1.9431157866391475, -1.367538280788006, -0.5446920865975368, -0.9463770683170918, -0.7085559513180391, -1.5092062202696948, 0.22587212008893787, 1.2240300783392728, -0.40722827804654127, -0.8553140253320026, -2.308948530745777, -0.20843086787240614, 0.15780235800747613, 2.2968666016474644, -0.31912642601690083, -1.1852634088439464, 4.994301501128122, 0.038969489739515695, 0.26301566324805015, -2.0917976698369114, 1.7711560032973122, 2.9221419614258406, 0.12940617018501088, -0.11079696405528867, 2.063726367193738, -1.9635554608106982, -3.792467490330883, -0.15384689499499604, 2.0872584015060736, -0.7684773792008128, -0.28970240777631473, 2.4003819182167168, -0.6678352106369839, -1.7107413517433094, 0.22259951633426445, 0.042884373575290125, -1.745994825314901, -0.5635338371321165, 4.475470953951911, -1.6548977006025054, 1.8205719753900746, -0.6678746375566535, 2.1593105299633755, 1.9322771038554902, 1.3568589378122975, -1.7397470388103253, -0.7527148318426025, -1.4391675498765966, 1.9906161714130817, 1.2899576445562775, 0.42607776028719196, -1.495835726680443, -0.4505836117363009, -0.9034521690463271, 0.46894131092192903, 2.4536935564593616, 1.853363194574964, -1.3321730377097682, 0.0019099678859570493, -1.5093073477501058, 0.7150107577579768, 1.685496769322361, -1.5885208922791614, 0.11080138061821142, 2.6441991587088634, 0.9826159268447646, 1.2977556422849155, 0.2165660359616453, 0.7353123238807515, -0.35228763595362855, -0.39429734683304685, 0.3960681689308975, 0.8435030970823654, -1.5642113399097564, -2.3683801037237697, -0.38286736723669035, -2.496969889377286, 0.3781580677908596, 0.32756778794712277, 0.16847074356102287, -3.1210447482156485, 1.3833266187469972, 2.128384698528829, 0.26449923359719835, 0.30027144486308366, 1.653871421546672, 2.5528637616688417, 1.4683244851075137, 1.7537673882833884, 0.3276431727661211, -0.5559482490496815, -1.4426793292568831, 2.4245948531717314, -2.616685214447255, -0.9407182173929417, -1.2714282404880266, -0.3497460336104944, -2.8224685743701716, -2.6809133166090775, -0.7972505666890427, -0.31146305525503015, -0.8610663836838472, -0.4838633594096841, -1.223784819135575, 0.11251658412774465, 0.8786295583003738, -1.3822427535843824, -1.129160636001608, -0.5904761014736053, -1.3848510965027017, 1.864592314963357, 2.256464524216915, 0.28125401601544425, 1.3712666408107574, 2.112327113431053, 1.205017803629032, -1.7716331094164253, 1.9034497972609248, 1.1728820474210604, -2.5680891587224424, 0.39649520859624465, 0.44920803840616874, 1.9221720524120447, 0.12429033693709665, 4.2501933437308095, -2.385648904452091, 2.07230514377086, -2.892133451989103, 0.3524086649629265, 0.05081805005661372, 1.1081033088306866, 0.9223065456711848, -0.5756462511217024, -1.2996855111829377, -0.3039860937923231, 1.7332313359480613, -1.677925356266986, 0.7463771654705552, -0.8756952561497849, -0.7697816640954798, 2.7232779924843586, 0.038703488936433425, 1.4537657877534522, -2.9441446616767872, 1.23554923919554, -1.517949140345644, 0.8308158308198038, 0.6888223936400444, 1.3747546330398115, -1.118139376124403, 0.8626019812076043, -0.7619409763554299, 0.8668462810171422, 0.918214981448872, 0.7600727303535848, -0.23578020005590236, 0.6148575816969775, 1.2049805315828481, 1.8845914671736381, -0.6541042198370698, -3.082777008374843, -0.922190298511033, -1.2334519057606372, -1.7452280607036137, 0.011709201138093098, 0.18336322415188352, -1.7189406992302425, -0.6778944995455188, 0.11899174551064055, 1.2854572403733053, 1.8363841239833525, 1.2549867177590022, 0.9729877065774303, 1.3217580179410997, 1.5775303191230106, 1.0636874432629755, 0.8324863982050952, -3.154905498481344, 0.7179444263429318, 1.3774219708051474, 2.7962180869830298, -1.03943446458536, -0.21310582500452452, 2.0755152669597137, 0.18303009552186006, -0.17096992378254333, 3.123842377567939, -1.1387210114408555, 1.2044166087235935, 0.8904030069661134, 0.1806491919905369, -1.4922090025474797, 1.52485465976853, 0.9666483178553107, -0.18394611457356314, 0.6654292909703842, 0.35023042840557617, 2.1343648769137573, -1.9321178517394142, -3.0952818089383762, -0.46954875685160563, -1.9631951602127538, 2.045031102707007, -0.17990092378556966, 0.21497406424978074, 0.33973187321604265, 1.1031168427087121, 0.9912777367738068, -2.4057926973705683, -1.2377623825356965, 1.7381255618497768, 1.1444053777859402, -1.832169768900177, -0.0690286713847936, 1.4771970276232136, -0.08857669152344465, -2.022317775043935, 2.594188592389479, -1.267459335770046, 2.251993709059966, 0.32696131049562505, -2.0741929268897223, -1.2506117196283557, -2.6546668232603197, -0.05949048919844899, -2.065681927930202, 1.2511507401759694, -1.4664565182178526, 0.7772428820742439, -2.7874413776705738, 0.4617764481120402, 2.8160644388282248, 0.01542676249671113, 0.6551031849928064, -2.287211453282819, -2.345475670690485, -1.535481391905521, 2.0776833649233577, -1.9117587175890247, 0.9640457608142204, -0.3751986321657208, -0.957919913096231, -0.7290714274883727, -0.8106149409497095, 0.9344997860732884, -0.914070172608968, 0.5968984126361407, -0.29172354376581805, 1.2697963387609936, -0.25587756005313456, 1.8244655507383143, -0.1302808366461654, -3.0659783951146102, 0.2612629448789242, -1.2528735481109048, -1.603194144665446, -0.7084754197573033, 1.8768009248255275, 0.38412698923801675, 2.549806485015909, -1.0171499669451303, 2.0126441584440093, 0.7670702808870181, 0.06423564461543316, -1.0184044151443963, 1.8976531229486482, -0.43883200705319014, -2.7001482712550415, 0.053768723110130034, 1.8465107329953523, -0.7547228864249276, -1.5402189256635237, 0.4588068465043187, -2.0571682049701026, -0.7608124094616897, 0.027925733712883677, -1.6773731562789704, 3.3436242407805996, 0.2431068922167238, -3.62515563171, 0.03167012660113439, 0.9332127511007381, 0.13303659684332558, -0.44614594540203495, 0.17372205346016195, -0.7043999650260993, -1.8408952133025573, -0.7319119861849841, 3.6857366547381942, -0.6139371623751532, 0.0738935937386616, -0.3312281564333739, 2.2721132553771177, 0.6680726485739795, 4.0078978642936365, 1.455284131259021, 1.4400081434597416, -0.180741987606608, -3.357113214182199, 1.3699001755960163, 2.5527533740313157, -0.6309836319954087, -0.7066983336090832, 1.6936361259113908, -0.2651552493097184, 0.8821301476548408, 2.5526573617388593, 1.4247150501151027, 0.13237454957193948, -0.05694738607395139, -1.2634816076108455, 2.713386758341995, 0.7271244675842251, -1.265433865455082, -0.6601739496084136, -2.3244535307945458, 1.8689812910077381, 0.18204334944646583, 0.2998793921968071, 1.252751094339389, 1.052272170361956, 0.1288010474712929, -2.362204014884773, 0.5033361421460585, -1.321115596956864, -2.945638441591054, -2.378948629278711, 2.038397136587505, -1.0805966492295604, 1.9050261763929788, 1.2774497218885084, -2.110280714287253, 1.0222772168406709, 0.47028405171555476, -0.7670323212274777, 0.4736519625516203, -4.625905730351467, -0.17970406215021734, -0.3221061615323206, -1.7727141127286619, -0.734881470172404, -0.2019459470623557, 0.721785646178539, -0.15905246416862254, 3.127058732151554, -0.4962034901951712, 2.4978681475607227, -0.6655328660537012, -0.06620543690769488, -1.0266915796326639, 1.5438905501017954, 4.127261795434738, 1.4977626622368612, 1.3782176629457241, -1.9493546809580427, -0.2454381546185, -1.2278620946233045, 0.032722702180011415, -0.7524893785994996, -0.39188923639808215, 1.460240227167005, 3.4246459109699536, -1.021472765015741, 2.2369998021703483, -0.5920819159354721, -1.6003234042605998, 1.4149958095039719, 1.6652438975959012, -0.39837502756144183, -0.5931758305181108, 0.6301819643573804, 0.06884242480622838, -0.46073877932256935, 2.393531867616361, 2.9117546479612746, -0.36481421276633375, 1.359288792282734, -1.2656661392257211, -1.1982386777338931, 1.785528399085666, -1.9892379618688334, -1.3847238613078767, -1.5272941905312583, -3.15815322944095, 0.6205212174681186, 0.6168617165694745, -2.770108693900021, -3.6821382097004602, 0.7895167227927105, 1.4415041635318495, -2.374330515335314, -0.14061257327134213, 2.7806824274073745, 0.8882427692227126, 0.10178075699631343, 2.765149010413637, 1.6595932674547986, 0.32946220701761586, 2.4754617367603204, 0.9054632516827149, 0.45553899272725784, 0.08889056235490611, 0.42659214882366886, -0.1365897133961046, -2.7828782847210563, 3.9998740863790605, 0.1732492141448898, 1.4216265896875915, -1.195077674442588, 0.17063297592128632, -0.07597020087479894, 2.172775920668081, 2.536507754399053, -1.2902039599754607, 2.0961305845125326, -0.025034951849605275, 0.635939183668486, -1.9179928769301535, -0.7939778333089562, -0.439392078214887, -0.6717381047740092, 1.6474977622946665, -0.34074449987933986, -3.5967737567769533, -1.3563562730390333, -0.6394039926375021, -0.777382896382986, -0.7202461838376116, -0.853818630981949, 1.5678571944159116, 3.3660735210199424, -1.3018134689181, -1.897450123756908, -1.0802353838303338, 1.0993135576155182, 1.043441710565811, -0.10889541695547236, -3.8381162155044963, 3.096685204010919, -1.324054790336875, 0.5827204390030216, -3.5714125484797887, -0.1162896242985313, -0.7358135745032395, 2.64579598048535, -3.27638086001073, 0.6675789008312292, -2.0293492307271244, -3.802691105309567, -1.3801737346477803, -0.7657180229755856, -0.4591298170227651, -1.275561763014693, 0.9926888831125413, 0.6039097689443617, -1.3907989357602315, 0.17616800776277775, -0.17990800383168254, -1.228811119866362, -0.3710848293823831, -1.9629419372139192, -1.333503252058047, 2.6100058165786684, 0.4030916405897359, -0.35598066539188716, 1.165892222138973, 3.3413973848363656, 0.18590367791121715, -1.5439009968693143, 2.0225793302790227, 2.693350782771459, 2.427309527655624, 0.12607955325649656, -0.7737093333616509, 0.34535557389837657, 0.9304886653242593, -2.2598728091640816, -0.7797728979072855, -1.3803918478018664, 0.269933364138929, -0.18409278382265087, 2.7610143430264875, -1.2457653890086888, -0.9764030832559678, -0.08987359253417937, 0.2781333951948627, 0.05532606213161677, 0.5892299871356653, 0.8727398484374547, -0.0036157456344911576, 0.7541531709972251, 2.712035632700382, -2.174962579126425, 0.5823493754026898, -1.2610721415450878, 0.19765849483390258, 3.146741617614106, -0.28905253247726176, -0.7485649387360336, 1.273241683772038, -0.10450267948623723, -0.7884105710702823, -1.3270219961310883, -1.3386699410180936, -0.2083773373503437, -0.7183601387826035, -1.6099143143270735, 1.7279760795571226, 2.9036532919189666, -1.4408213874710551, -0.42488751003384817, -2.5833730983534577, -1.255377342868103, -1.3294623978954192, -1.0311290060831255, -2.0625085379573225, 1.296833558933857, -2.7895569306569707, 0.33544500417325246, 0.35240320918704615, 2.709165807002924, 1.8816464436165665, -0.4672111119110086, -1.4715982794231548, -1.8959938528181408, 0.17544950040253715, -0.6171189988019323, 2.336772047666503, -0.43720076847450046, -3.7168471272688373, 1.2347603199381232, -0.4861356697734781, -0.6669898462915331, -0.888599002595122, -4.3929126060481805, -2.4144934603845707, 0.21792506250648586, 1.0292145032647053, -1.3316808509437335, -0.46432374569398144, 2.8180793997812112, 0.69733866696935, -1.2172495517334756, 0.30275947625479155, -0.3857327291629342, 0.8033430800295365, -4.029875625551528, -1.2959639797234954, -2.2853143533147255, 1.2024943541670452, -1.4163798840591548, -2.3427606242578767, 0.7790042560523973, 1.128467583322916, -0.4162812958400589, -0.6199073378679809, 2.610136967508201, 3.1794716338982605, -0.10171190605209197, 0.9335167361715009, 1.7005417064448591, 2.869984131344956, 2.500356720540767, -0.722416223257494, 1.2938093023203983, 1.2350407806427623, -0.17200554382047498, -3.9837339882296994, -1.6116447642733847, 0.25897192643811895, -2.929250652561261, -0.9152168396535271, 1.0405030484882876, 1.055318431594117, 0.9723302183760206, 0.7834731030728792, 1.5600614230272098, 0.6056059333337623, -0.30608422088881065, 1.7388146557543864, 0.7857568222302364, -0.4093899958442723, -2.2245678842688377, 3.460225765884715, -2.8475829210758463, -2.9215373519841377, 1.2544466648844173, -3.522216043407173, -1.8899038707436047, 1.274485746761135, 1.26946728899302, -0.8602494097953655, 1.358473538011266, 0.6253392285671372, -0.895303321230165, -0.03954070428307632, -1.745958600288546, 3.1614923950720355, 0.03394095208564635, -3.8025604274956555, 1.2647501727019819, -0.9267543703578307, 2.0095306068743657, 2.5153945508752287, 0.7131791276083702, 1.2145620377791235, 0.6030108406227271, -0.011818054922147173, 2.0514793237385156, 0.6253601876071154, 1.5641434220960038, -0.3555124786343268, -1.2089569955066868, -1.9941613963119447, 3.1745075881500426, -1.6565449384716875, 4.233475367293313, 4.6065256030488495, 1.6011674415198431, 1.1968188508453668, -0.7539313725942942, 0.14942673575297263, -0.39784030802539616, -1.207136216745609, 1.4720601323476366, 1.8978367656817037, -0.2259804116960797, 0.46575293283763686, -2.7763746289484184, -2.205760307047283, 0.35337347404647806, -1.4908285198245148, 0.7806140629727708, 2.010155293900889, 2.0465626548931213, -1.1780256989219162, 2.5267586488964255, -1.6537796240240892, 0.19633445808826722, -2.134773961881605, 1.6401751084348795, -0.7953649231185455, 3.9048428972331797, -0.19605418819790754, -0.6589602786344892, 1.1071585617762372, -0.4565756534494192, 2.006132959584765, -1.0722611549072194, 1.7242175060704592, -0.8417173856147788, 2.635734335364632, 2.1046265870782714, -0.05237270620385127, 3.576698217094631, 2.51281742427291, -0.8922336344943057, 0.48354691742374756, -0.7545224772768699, 0.3176734932567771, -0.05102449389042395, -1.2964065394270052, -1.6109203901538642, 0.39998812006194884, 1.4402168121051964, -1.5688617625332644, 0.2397081883331518, 0.2901969361351635, 0.7573163424493816, -0.5460139217248133, -0.18248547395051024, -0.21945259576264536, 1.8887998962957537, 0.3546390498797092, 0.429267891799683, 1.7232502646307144, 0.2681532580728422, -1.4314916403178808, -2.9392804779649206, -1.5616240119486642, 1.6878906137974201, -1.0309388904091952, 2.5537085177054344, -0.5817580896786323, 0.2179788599283593, -0.3512025866801626, -1.2810306269966396, -1.79128151201556, 1.5970786696006098, -0.30651864534717144, 3.9836436206760193, 1.1787801796789918, 0.25015483447949693, 0.1533997216649869, 0.6732754552570157, -0.5958644486733254, 1.6130894163519909, 1.910048903017486, 0.21760032580473795, -0.7897523648832885, -0.08023057490681737, -3.0013443832128655, -0.7138355356708364, 1.5808548409928849, 1.461557987776085, 1.777016834535421, 1.0021201724046895, -0.484743625404577, 0.1191959115927223, -1.1559413507778369, 0.11586309817551105, 0.9750093572118986, 2.995274908091177, 1.292124693435209, -2.558438465903163, -1.7351411210545966, 1.7158304593574556, 0.45842104409159157, -1.2617198198443498, 0.05029970133762594, 0.2144048089785049, 1.0229693391672043, -0.45703264949362143, 0.708583607607781, -0.9521901504898715, -1.092778489283154, -0.8853378301906604, 1.3527396351292307, 2.0115352802688786, 1.0134423459179782, -0.06534241564011997, 0.568324517960728 ]
You are given two time series following similar pattern. One has an anomaly and the other does not. Which time series has the anomaly, and what is the likely type of anomaly?
[ "Time series 1 with speed up/down anomaly: the period of cyclic components is different from other parts of the time series", "Time series 1 with flip anomaly: the pattern is flipped at certain point in time", "Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat" ]
Time series 1 with flip anomaly: the pattern is flipped at certain point in time
multiple_choice
[ 0, 0.5285894740459423, 1.0210753502099157, 1.443900654836079, 1.7684220325640319, 1.972930150580954, 2.0441810006556875, 1.97833008615031, 1.7812035996547686, 1.4678874633023598, 1.0616632194556455, 0.5923658303917945, 0.09427922217693226, -0.39628198613811716, -0.8435339914549652, -1.2147478736242914, -1.4825581814549036, -1.6268931979795473, -1.636390730672162, -1.5091995616203304, -1.2531100261008294, -0.8850045089924723, -0.42966661912854537, 0.08196696164572143, 0.6149886461263613, 1.1329822034770647, 1.6005914355138728, 1.9860140819146685, 2.2632450428156314, 2.413910689550351, 2.428564877530238, 2.307355244953345, 2.060012798911186, 1.7051655234539287, 1.269024425351773, 0.7835346993874035, 0.28412242365187934, -0.19280427475430484, -0.6124233243961472, -0.9439549392408678, -1.1628327194174983, -1.252436480982632, -1.2052645868114142, -1.0234630864051635, -0.718674340904636, -0.3112158107823919, 0.17135306828022545, 0.6961748336609094, 1.2274116487515447, 1.7287731812936848, 2.1660763992084715, 2.509656724684336, 2.7364604719656405, 2.831670975442111, 2.7897537065293756, 2.6148466603727623, 2.3204684758325005, 1.9285648769675103, 1.4679606967719003, 0.9723266721116809, 0.4778044251879683, 0.020457157205513887, -0.36627412641005264, -0.6539294300795038, -0.8210372387507598, -0.8546290450820793, -0.751154103563829, -0.5167298879539186, -0.16671058561663843, 0.2753959343026545, 0.7795862855088184, 1.3114779007363864, 1.834734260366347, 2.3136279461544937, 2.7155607310333494, 3.013362946478579, 3.187209937935564, 3.226020428099668, 3.1282381522904235, 2.901941632035615, 2.5642743438123237, 2.1402354768916343, 1.6609165760898867, 1.1613084506114721, 0.6778330421274477, 0.24577434566803458, -0.10321040262351877, -0.3433237185781335, -0.4564475362395488, -0.4334211942258066, -0.27468759742980264, 0.009738023975984333, 0.4009745545976382, 0.8726068030770358, 1.3925487392814289, 1.92530673305104, 2.434483153389802, 2.8853437327809885, 3.247267603536023, 3.4959071889980406, 3.6149055982670153, 3.5970503853006486, 3.4447822901728067, 3.170023077622398, 2.7933346165722277, 2.3424685162704213, 1.8504086227568939, 1.3530444512545319, 0.8866396626010644, 0.4852741487299139, 0.1784401537352982, -0.011038008085759943, -0.06861390124529465, 0.01095497516306354, 0.22323739939316334, 0.5544409902619778, 0.9823850745123136, 1.4780652355886714, 2.0076991859102704, 2.535109653813484, 3.024276204474388, 3.441875998097376, 3.75963426898332, 3.956318730728584, 4.019237229038103, 3.9451330028490945, 3.7404144051098154, 3.4207028794958827, 3.0097310772394392, 2.537668837138866, 2.0389951083894062, 1.5500659235148984, 1.106549968266035, 0.7409126346073549, 0.48012602308446906, 0.3437664231664319, 0.3426334687886019, 0.4779883691377502, 0.7414649472726309, 1.1156597616112967, 1.575359685135116, 2.089320353074031, 2.6224700334601803, 3.138383467064143, 3.6018511805116233, 3.9813630420270103, 4.251330878281978, 4.393893376563831, 4.400175960641935, 4.27091677300086, 4.016414608795869, 3.6558024740914363, 3.215698009098201, 2.7283259709342733, 2.2292452095508715, 1.7548404681607448, 1.339755927982636, 1.0144515262716065, 0.8030544165974769, 0.7216571220098214, 0.7771824235404217, 0.9668950509232641, 1.2785946191973618, 1.6914762021047265, 2.1775978403815452, 2.7038514719302453, 3.2342982612039677, 3.7327036016613846, 4.165092980895439, 4.50214842645695, 4.721276495287331, 4.808201937863405, 4.75797462544019, 4.575318715190229, 4.274299424325564, 3.877330917815325, 3.413595289903745, 2.9169841590609624, 2.4237080692140083, 1.9697423219125267, 1.5882894016869273, 1.3074369864286712, 1.1481767387249489, 1.1229236258259676, 1.23464021034673, 1.4766276812398356, 1.8329983649993786, 2.2797963877727896, 2.786687440710736, 3.319098458291036, 3.840656284030467, 4.315753308452, 4.712059107986494, 5.002800922396848, 5.168652113652445, 5.199095400828368, 5.09316471310528, 4.859513333098543, 4.5158035239193355, 4.087460693585794, 3.6058799737626273, 3.106211714626686, 2.624882099471381, 2.197023766409762, 1.8539976723271943, 1.6211809983189807, 1.5161771301920348, 1.54757397587956, 1.7143382038084742, 2.0058881305718677, 2.402840116659611, 2.8783758220467868, 3.400133880110333, 3.932492557670432, 4.439082390129734, 4.885351559027651, 5.24100305905719, 5.482131745124602, 5.592910519466298, 5.566706720955153, 5.406549970315421, 5.1249184710460565, 4.742858839653876, 4.288501549359505, 3.795076702795956, 3.2985700943025824, 2.8351848951575587, 2.438788005785236, 2.138521200513364, 1.956745566552817, 1.9074642294390256, 1.9953346204839109, 2.2153399575116843, 2.553143111503081, 2.986097898605956, 3.4848464644352575, 4.015390086640899, 4.541487328417984, 5.027210385418869, 5.439479310104998, 5.750395358026594, 5.939208869769658, 5.993782880913094, 5.911449221958921, 5.69919672187653, 5.373178240027216, 4.957571298749742, 4.482872683684719, 3.983747304894165, 3.4965830527499855, 3.0569241206887217, 2.6969638394603423, 2.443273869762373, 2.314929928238547, 2.3221662517155544, 2.4656537091650383, 2.736452480902475, 3.116642642870164, 3.58058817674746, 4.0967452469410155, 4.629887194785364, 5.143589306478134, 5.602798087724162, 5.97630381724862, 6.238941973717227, 6.373368254942788, 6.371281985598732, 6.2340116184467265, 5.9724210298256155, 5.606143218997274, 5.162195463574738, 4.673073613228938, 4.174459943673439, 3.7027062510621627, 3.292269720706459, 2.973282435156878, 2.769425960230203, 2.696260928409552, 2.760129445086931, 2.9577077381554346, 3.2762406055176916, 3.6944411233857775, 4.183992153028333, 4.7115437348183535, 5.241065480241252, 5.7363880321829575, 6.163754327587096, 6.494200705145821, 6.705599902837205, 6.784221839255316, 6.725702086559904, 6.535349722278544, 6.2277728451487055, 5.825848169830628, 5.359107381753178, 4.8616540730991975, 4.369758192135997, 3.9192976852024985, 3.5432277891706203, 3.2692564818291747, 3.1178900559642506, 3.100986675650997, 3.2209199419456764, 3.470411467191043, 3.83304426757062, 4.284420760958231, 4.793883688857728, 5.326678574489664, 5.846405184632294, 6.317585077489228, 6.7081641305451, 6.991773528658996, 7.1495897300344, 7.171662214431913, 7.05761535881021, 6.816674932489751, 6.467017342961159, 6.034487534311459, 5.550775973325427, 5.051183312422496, 4.572130402455478, 4.148589290545684, 3.8116164115745965, 3.5861619735613415, 3.4893100553837932, 3.5290735543266614, 3.7038289837319915, 4.002430988191511, 4.404998498770848, 4.884317075567253, 5.407758521155673, 5.939582361961955, 6.443456858942769, 6.885021724108618, 7.2343117776368295, 7.467870589097105, 7.570405013771934, 7.535863918742516, 7.367865009094194, 7.079439647381782, 6.6921136659160405, 6.234389008227184, 5.739733299519025, 5.244219154933862, 4.783979740742588, 4.392660064465697, 4.099043771196531, 3.9250228437913384, 3.884053417326496, 3.9802066293851417, 4.207881455946033, 4.552199788447885, 4.990055884645346, 5.491746168585113, 6.023064419189897, 6.547714560018746, 7.029870860272137, 7.436704959224775, 7.7407014664329195, 7.921598803201579, 7.967818384998413, 7.877281335177602, 7.6575551218232585, 7.325319774451296, 6.905191331816603, 6.427985510790137, 5.928544071161305, 5.44327719715171, 5.007595247638342, 4.653411030633883, 4.406888783034669, 4.28659863489991, 4.302206736035619, 4.453793438870709, 4.731847630671688, 5.117937614882016, 5.5860112199128915, 6.104233430160503, 6.6372319190481575, 7.1485920918772825, 7.60342564670462, 7.970831475752212, 8.226075323787896, 8.352334457833466, 8.34188428517151, 8.196643219677357, 7.928037363470345, 7.5561945487773405, 7.1085245895371685, 6.617785886938382, 6.119774763918725, 5.650800515061607, 5.245124273229049, 4.93254234651165, 4.736284488637292, 4.671375351649284, 4.743574698374843, 4.948971128468623, 5.274257975205925, 5.697671912209858, 6.190528064006832, 6.719243338965067, 7.247705265636914, 7.739819242895548, 8.162054529561093, 8.485809388120636, 8.689428553400063, 8.759730720851744, 8.692938310663035, 8.494943925306993, 8.180894705532106, 7.774123902896427, 7.304505032063502, 6.806344695323095, 6.315962712283956, 5.869130244106822, 5.498546618227151, 5.231532829714608, 5.088104411789864, 5.0795596086167105, 5.207682435828072, 5.464616842169297, 5.83342084846549, 6.289261576846652, 6.801166876959652, 7.334209995448259, 7.851973189594708, 8.31911651024697, 8.703870560877323, 8.980277402079327, 9.130021535769451, 9.143721817735305, 9.021593171440337, 8.773431428058283, 8.41792236206958, 7.9813236606834, 7.495612796451941, 6.996231445802738, 6.519585554486511, 6.100477386767278, 5.769650692815509, 5.551622149795094, 5.4629520393669955, 5.511076142100409, 5.693781242961079, 5.999361243924853, 6.4074428720669525, 6.890422740504335, 7.415414396830884, 7.946568020912609, 8.447599148500046, 8.884348053149091, 9.227189256408668, 9.453121207674608, 9.547388734843713, 9.5045238236529, 9.328731312690389, 9.033592298473195, 8.641106171381685, 8.18013885395722, 7.684386697523096, 7.1899996568914935, 6.733031396277981, 6.346896187225646, 6.060011980254131, 5.893795899893604, 5.861153554022804, 5.965568716460109, 6.200857593482005, 6.5516050074675505, 6.994251730767831, 7.498756272990089, 8.030713904909884, 8.553783450316738, 9.03225066820233, 9.43354741308542, 9.730548880526012, 9.903486897993142, 9.941344304096326, 9.84263206144272, 9.615494288238411, 9.277133800064256, 8.852598682143265, 8.373015483139014, 7.873393654946322, 7.390156105778952, 6.958570052884971, 6.610259393748212, 6.370974064595903, 6.258773728029151, 6.282753906234209, 6.442404413977876, 6.727645345327582, 7.119538075716569, 7.591621127700944, 8.111776673011656, 8.644496014233694, 9.153384246789399, 9.603727430941895, 9.964941194291917, 10.212728048728522, 10.330791252079655, 10.31198432452761, 10.158815136835788, 9.883269013728476, 9.505963330105882, 9.054693231983864, 8.562471062025862, 8.065197781879734, 7.59913064121804, 7.198325715440491, 6.892235706675856, 6.703632450978846, 6.6470006709539495, 6.727516272998315, 6.9406812565797, 7.272640987799087, 7.701161457846938, 8.19719759388633, 8.726941999080957, 9.254209610658496, 9.742990070391336, 10.15998777201636, 10.47697041934343, 10.672760435799974, 10.734728758200298, 10.659685647638177, 10.454105682752115, 10.133671065108132, 9.722165450375329, 9.249796330657054, 8.75106430138663, 8.262329507406907, 7.819246922800357, 7.454251371049509, 7.194269683600872, 7.05882137333421, 7.0586417949318605, 7.194924909702309, 7.459239067635987, 7.834121747138552, 8.294311301537148, 8.808528829175431, 9.341684480081692, 9.857352573886311, 10.320340942644778, 10.699173265915226, 10.968309302671354, 11.109946412490185, 11.11527529287601, 10.985101357307695, 10.72978792412853, 10.368525223539645, 9.92797678444265, 9.440398680369363, 8.941364296454948, 8.467255104604213, 8.052694438982915, 7.728105284528013, 7.517564343715761, 7.437103748374627, 7.493580207977458, 7.6841913608232835, 7.996673443040244, 8.410166332515077, 8.896684950510954, 9.423093233339685, 9.953441436882239, 10.451501908497605, 10.883324461646264, 11.219631105851263, 11.437881215938726, 11.52386147059033, 11.472688411382283, 11.289152905228399, 10.987382213025281, 10.589843501020725, 10.12575908380287, 9.629045182245948, 9.135919589371154, 8.682346991186993, 8.301502140830687, 8.021429825026303, 7.863066680815516, 7.838764396838582, 7.9514184674926565, 8.194263954667147, 8.551352663324309, 8.998678072592842, 9.505868673585038, 10.03833027168422, 10.559686142630474, 11.034342922146694, 11.430001240032558, 11.719934007190382, 11.884871653013702, 11.914361334945678, 11.807504246217066, 11.57301901459942, 11.228626720242662, 12.308738038415386, 12.198897395098609, 11.958628259470913, 11.603697099549866, 11.157958250103276, 10.651671309519218, 10.119366731302048, 9.597410164066623, 9.121437343150344, 8.72384046780959, 8.431483366349998, 8.26380661362212, 8.231456259408983, 8.335532892511575, 8.567514008981743, 8.909855160381522, 9.33722747912816, 9.818304290122628, 10.317970787192154, 10.799800911333447, 12.281583700845804, 12.120531050885972, 11.838121485706564, 11.45545650392068, 11.000709278093838, 10.507137415576874, 10.010737080711454, 9.54770394859757, 9.151880086056392, 8.852366848064056, 8.67147216777483, 8.623137031267289, 8.711952128101057, 8.932834039787364, 9.271383806730729, 9.704902581556643, 10.203992728116544, 10.734631430124491, 11.260570544171994, 11.745893419700069, 12.157548336601643, 12.467679860434547, 12.65559366942889, 12.70921626111615, 12.625946575870435, 12.412839466752063, 12.08610807431882, 11.66998020718191, 11.19498939530929, 10.695821159325622, 10.208866412602548, 9.769654570781265, 9.410347428396445, 9.15747057596696, 9.030042375627493, 9.038232470955768, 9.182644455121423, 9.454273295489697, 9.83514051780264, 10.299562346220176, 10.815961348962205, 11.34909380226949, 11.862535662051648, 12.321251791292584, 12.694067218703832, 12.955866114499445, 13.089363375067677, 13.086323855019478, 12.948143246158542, 12.685749630158487, 12.318832649084044, 11.874454665429777, 11.385141875693526, 10.886590023800139, 10.41514654549701, 10.005246744639996, 9.686984844717873, 9.48399124532795, 9.411765714666263, 9.47658408892861, 9.675055596305034, 9.994362030418007, 10.413161902728595, 10.903095798094522, 11.430786750850908, 11.960194541732257, 12.455157851587966, 12.881944957068711, 13.211633050941549, 13.42214835792045, 13.49982314322513, 13.440359787813158, 13.249133927718146, 12.94081527508263, 12.538332866872155, 12.071257729085039, 11.573717037788258, 11.081986904921528, 10.631933585520505, 10.25648359484215, 9.983301184673346, 9.832837001693663, 9.816885568853206, 9.937753340091612, 10.188096010971364, 10.551436560776112, 11.003327485157483, 11.513075239417798, 12.045905256101001, 12.565414823961047, 13.03614081062152, 13.42606111055653, 13.708853374815673, 13.865751699427763, 13.886870308038796, 13.771900860740663, 13.53013420331304, 13.17980502276096, 12.746805634903678, 12.26285962903599, 11.76328419451705, 11.284498967109343, 10.861457112522672, 10.525179849735675, 10.300568320382752, 10.204647147449782, 10.245363576637494, 10.421026904849953, 10.720427736604423, 11.123628656423259, 11.603370545883848, 12.126995348534631, 12.658749657421724, 13.162306638045564, 13.603328398933748, 13.951888068980399, 14.184580736506245, 14.286174351622435, 14.25068414289641, 14.081794762645249, 13.792600384172312, 13.404681083598623, 12.9465806551536, 12.451793229624144, 11.95640071300615, 11.496527692350023, 11.105793331030432, 10.812939988026823, 10.639805830295039, 10.599784443213768, 10.69688009291276, 10.925425279045239, 11.27048050086468, 11.708888038475283, 12.210905419133825, 12.742303349479975, 13.266780132736754, 13.748522266154167, 14.154730602918155, 14.457933891707968, 14.63792650474096, 14.683193673600613, 14.591723701589965, 14.371149861931348, 14.038211972799132, 13.617575627839377, 13.14009236961479, 12.640623527385015, 12.155581218257609, 11.720359961071127, 11.366840068178327, 11.12113891732651, 11.001768721220579, 11.018330739399046, 11.170838038247537, 11.449714569340587, 11.836470631122586, 12.30500706917248, 12.823456221229511, 13.356429753018297, 13.867514830228762, 14.321842555221012, 14.688547499722368, 14.942944846497685, 15.068271571870461, 15.056868852039782, 14.910722290298091, 14.641321859370828, 14.268851438066124, 13.820765109545082, 13.329850644260393, 12.831916762848024, 12.363267311532717, 11.95814051306961, 11.646293919694584, 11.450905417238243, 11.386938336388198, 11.460085990555976, 11.666370089034944, 11.992421352010636, 12.416422533801107, 12.909647336695265, 13.438486665674759, 13.966819298945985, 14.458559755295836, 14.880203640431091, 15.203190932278652, 15.40592050719314, 15.475273809286545, 15.40754018846103, 15.20867863696658, 14.893897462483025, 14.486581546148521, 14.016642853081125, 13.518410544736383, 13.028209517353773, 12.5817981681013, 12.211846120126792, 11.945629819156085, 11.803108546368252, 11.795516559013853, 11.924570664359075, 12.18234912197715, 12.551850416204902, 13.008192484868255, 13.520367814786436, 14.053430605624959, 14.570961727045715, 15.037637599512617, 15.421721798693069, 15.697303634209106, 15.846125801054715, 15.858872187403161, 15.735825001249944, 15.48684486442661, 15.130675278085855, 14.693620520281803, 14.207690232225504, 13.708341567750123, 13.231978167035468, 12.813382368425334, 12.483261781327014, 12.266083276543583, 12.178347176948161, 12.227423381182557, 12.411031516231263, 12.717401787129278, 13.126105178015482, 13.60949444499083, 14.134654258077553, 14.66572293593931, 15.166422006142469, 15.602615164434043, 15.944716132809063, 16.169775574298523, 16.263099860652595, 16.219287510586984, 16.042610191785403, 15.746711412081469, 15.35364415311261, 14.892315328473888, 14.396446788970207, 13.902196698676867, 13.445609061801726, 13.060071301991806, 12.773959227742075, 12.60863549998328, 12.576942783095765, 12.682297867319624, 12.918450660065533, 13.269925046054222, 13.71311051951976, 14.217927588476698, 14.749949479134475, 15.272830482690976, 15.750869657234869, 16.151529049997173, 16.44772881317505, 16.619757323712307, 16.656661573724435, 16.557019758186946, 16.329041564195645, 15.989989087737218, 15.564959224519917, 15.085113420846989, 14.585479651848104, 14.102481668000461, 13.67136978843432, 13.323734464070025, 13.085277995331312, 12.974001579842575, 12.998935569559453, 13.159502500649177, 13.445557825812994, 13.838105475931732, 14.310637777765447, 14.831005214498191, 15.363684142619253, 15.872282508153011, 16.322106817589912, 16.682609298177418, 16.929542633256165, 17.04667028498835, 17.026911764165416, 16.87284206368321, 16.5965100273561, 16.21858846571292, 15.766915966697269, 15.27453325695433, 14.777352622058867, 14.311624776804708, 13.911381863854631, 13.60603694287616, 13.418309293981716, 13.36262187746879, 13.44408398756457, 13.658130860298405, 13.990845656328865, 14.419941107158866, 14.916331582775067, 15.446184692440239, 15.973307705740654, 16.461700463916216, 16.878094707844955, 17.194300707177035, 17.389195667431338, 17.450213659623245, 17.374231977886847, 17.167791404458868, 16.8466348452864, 16.434596879323017, 15.961922548905852, 15.463133977986253, 14.974595299661692, 14.531947654687244, 14.167595187392623, 13.90841936824777, 13.773882866940474, 13.77465672226983, 13.911867643592165, 14.177018536599146, 14.552587859268336, 15.013265531467901, 15.52773822138254, 16.06089808076673, 16.57631913239933, 17.03882663384521, 17.41697818339677, 17.685281559475857, 17.825992854693784, 17.830368070348094, 17.699279888163826, 17.443156114311368, 17.081244137649534, 16.640253284791886, 16.152470835622704, 15.653484589080882, 15.179672621625508, 14.765637302231122, 14.441764559709572, 14.232080563291513, 14.152556998880737, 14.20998448099541, 14.401493566061523, 14.714757153141756, 15.12885999544445, 15.615773990247874, 16.142335185337195, 16.672583050686054, 17.17029701116578, 17.6015513219467, 17.93710807442343, 18.154479538218148, 18.239514368714715, 18.187395794473417, 18.002981375802392, 17.700460369079025, 17.302352865169333, 16.837921299295754, 16.34110637901038, 15.848133022849971, 15.394955178566091, 15.0147197547069, 14.73542855113735, 14.577963107915448, 14.554611792926103, 14.668203022468955, 14.911905754452889, 15.269711326725327, 15.71756265330893, 16.22505112890898, 16.757561547853147, 17.27871374222629, 17.752928714399676, 18.147938257750816, 18.43706104551719, 18.601084640266375, 18.629620673475863, 18.521837605493324, 18.286519379497655, 17.94144583221114, 17.512138565070348, 17.030060737811773, 16.53039776486907, 16.049575456665675, 15.62269066761876, 15.281035684150845, 15.049890973907296, 14.946741988093429, 14.980045797592723, 15.148634560131562, 15.441797895876338, 15.840038360969428, 16.316446730486827, 16.838600083064545, 17.370848802800655, 17.876831181146365, 18.322038247375186, 18.67624791326725, 18.915656735774057, 19.024558930421072, 18.996454203590137, 18.834506260983016, 18.551319650649415 ]
[ 0, 0.23039674350718967, 0.4570114374964873, 0.676125362936421, 0.8841454012982388, 1.077664201389556, 1.2535172355106539, 1.4088357895270742, 1.5410949995388061, 1.6481561307711834, 1.72830239072671, 1.780267676905957, 1.803257777716424, 1.7969636715597783, 1.7615667014040115, 1.6977355381922181, 1.606614983935762, 1.4898068019842459, 1.3493428954697397, 1.1876512830527102, 1.0075154417063816, 0.812027697345329, 0.6045374437730616, 0.38859505702322583, 0.16789244424980554, -0.053798777323816854, -0.27269043620232175, -0.48504123961749596, -0.6872194215421531, -0.8757635566768287, -1.0474405220779663, -1.1992996358590875, -1.3287220664114439, -1.4334646847858679, -1.5116976259269073, -1.5620349297957161, -1.5835577492955413, -1.5758297363826999, -1.5389043487223257, -1.4733239545388175, -1.3801107506502768, -1.260749645764616, -1.117163395656843, -0.9516804065894243, -0.7669957461080179, -0.5661260140875051, -0.3523588297134608, -0.12919778024042072, 0.09969624663896687, 0.33056636442346277, 0.5596225969344883, 0.7831053415346096, 0.9973483237405661, 1.1988399890546602, 1.3842823040072623, 1.5506459817858997, 1.695221207696785, 1.815663015060045, 1.910030551718472, 1.9768195796413972, 2.014987663417263, 2.0239716258531226, 2.003696978386749, 1.9545791683989338, 1.8775166225397084, 1.77387570255812, 1.6454678255504387, 1.4945191317486957, 1.3236332077628916, 1.1357474894769428, 0.9340840746325678, 0.7220957687453191, 0.5034082678148358, 0.2817594459808567, 0.060936764754309425, -0.15528614809304125, -0.36321268799272227, -0.5592851732887753, -0.7401444186803365, -0.9026859848392395, -1.0441121623017302, -1.161978819163217, -1.2542363281104398, -1.3192638874672853, -1.3558966615476686, -1.3634452858498063, -1.341707410477055, -1.2909710884905294, -1.2120099524554728, -1.106070259950192, -0.9748500249607621, -0.8204705846066274, -0.6454410773128294, -0.45261642724245604, -0.24514953854078336, -0.026438499899310575, 0.19993031649982196, 0.4302423088497586, 0.6607168467922393, 0.887570578140179, 1.1070807811772763, 1.3156477016993693, 1.5098548309625817, 1.6865261151829705, 1.8427791386136163, 1.9760733896475533, 2.0842528017297948, 2.1655818567301313, 2.2187746462250804, 2.243016404057295, 2.237977149609359, 2.2038172133350913, 2.1411845520232458, 2.0512038987495655, 1.9354579292014265, 1.7959607597453175, 1.6351242210124806, 1.4557174717520893, 1.2608206292187787, 1.053773192554448, 0.8381181228157442, 0.6175425160281898, 0.3958158626976847, 0.1767269276249377, -0.03597969302845394, -0.2386662750693207, -0.427862880029222, -0.600325459345766, -0.7530901760135026, -0.8835230340872379, -0.9893639849909979, -1.068764772071602, -1.120319879689177, -1.1430900686015453, -1.1366181035420353, -1.100936409632145, -1.0365665294223056, -0.944510389652609, -0.8262335239717288, -0.6836405325499094, -0.5190431895152551, -0.33512173225486874, -0.13487998079211894, 0.07840496123301866, 0.301237581722715, 0.5299624925334987, 0.7608256390156916, 0.990037161725305, 1.2138348576877624, 1.4285471785536488, 1.6306547107410516, 1.8168491080786047, 1.9840884901209295, 2.12964837849077, 2.2511673183178678, 2.3466864208427607, 2.414682165043873, 2.454091909024113, 2.464331683968334, 2.4453059727115303, 2.3974093091754574, 2.321519671891101, 2.2189837822325686, 2.0915945535437284, 1.941561068772389, 1.7714715893370794, 1.5842502146435453, 1.3831079179882444, 1.1714887787533927, 0.9530123112364636, 0.7314128558189331, 0.5104770473702172, 0.2939804079794207, 0.0856241257708481, -0.11102692155692795, -0.29260386067154487, -0.455990234450675, -0.5983741871119612, -0.7172955487880558, -0.8106870311148394, -0.8769088440117913, -0.9147761539960668, -0.9235789242402221, -0.9030938041515166, -0.8535878693815601, -0.7758141496397758, -0.6709990191975351, -0.5408216612291641, -0.38738594985985175, -0.21318522075601165, -0.021060520175206543, 0.18584696840394033, 0.4041485234549248, 0.6302646296056067, 0.860484916686743, 1.091030289946421, 1.3181162110589066, 1.5380160702861723, 1.747123588624235, 1.9420132050091494, 2.119497437398005, 2.276680257212338, 2.4110055833882114, 2.5203000839990573, 2.6028095687374244, 2.65722836286288, 2.682721170748743, 2.6789370629222047, 2.6460153523845924, 2.5845832618126843, 2.495745420703839, 2.381065368335415, 2.2425393722717715, 2.082563000828429, 1.9038910092380057, 1.7095912112248837, 1.5029931084098633, 1.2876321377462965, 1.0671904705654636, 0.8454353545521469, 0.6261560311152191, 0.413100284472799, 0.20991168493895906, 0.02006857727398703, -0.15317416426044939, -0.30683963882867116, -0.4382787672784392, -0.5452146510184406, -0.6257806987256755, -0.6785518824503673, -0.7025685997343052, -0.6973527421710668, -0.6629157013397944, -0.5997581780529893, -0.5088617981125136, -0.39167267496807656, -0.25007719452180766, -0.086370427562803, 0.09678230123406806, 0.29639004421721615, 0.5091863142299458, 0.7316837819959532, 0.9602326715100784, 1.1910818756023904, 1.420441768294461, 1.6445476621537383, 1.859722848051521, 2.0624401617227255, 2.2493810461941974, 2.4174911210802135, 2.5640313282363794, 2.686623797336941, 2.783291663355646, 2.852492169205798, 2.893142499235072, 2.904637910992875, 2.8868618616534296, 2.8401879595274697, 2.765473707984429, 2.664046146543276, 2.5376796295721737, 2.3885661146930395, 2.219278458412181, 2.0327273335923968, 1.8321124901840649, 1.62086917535542, 1.402610610217566, 1.181067486372773, 0.960025495417258, 0.743261937468096, 0.5344824702056026, 0.3372590575695805, 0.15497015715968265, -0.009255852097235007, -0.15259305470778584, -0.2725653186172987, -0.3670877580850602, -0.43450164513312206, -0.473602184975781, -0.48365869032968867, -0.46442681678539954, -0.41615265435885584, -0.33956860670969236, -0.23588112702892783, -0.10675051595885443, 0.045736880170769156, 0.21910360524908312, 0.4105225784307571, 0.6168644336550079, 0.8347499209359386, 1.0606064919635876, 1.2907281224889668, 1.5213373697659558, 1.7486486258972593, 1.9689315079059644, 2.178573323064768, 2.3741395634999978, 2.5524314170869733, 2.7105393316159265, 2.8458917352954556, 2.9562980977679376, 3.039985610579287, 3.0956288728880397, 3.122372085326016, 3.1198433803739496, 3.088161049289715, 3.027931561319105, 2.9402394083575416, 2.8266289451139857, 2.689078528863887, 2.5299673918214367, 2.3520358008538302, 2.1583391716638602, 1.9521969057996382, 1.7371368072166984, 1.5168360091379576, 1.2950594003926168, 1.0755965822856906, 0.862198411656828, 0.6585141927158308, 0.4680305693787775, 0.29401314135365775, 0.13945178161519278, 0.007010570928747573, -0.10101681222950054, -0.182745499359394, -0.2367309940933484, -0.26199336031371323, -0.25803363120047806, -0.22484216443955707, -0.16289880368349952, -0.07316484356099417, 0.04293306721875867, 0.18352681512407676, 0.34633810339508964, 0.5287166021634486, 0.7276843282731958, 0.9399855116615238, 1.1621411132864723, 1.3905070816974916, 1.6213353727417936, 1.8508367106302677, 2.0752440394280764, 2.2908756024730996, 2.4941965934567825, 2.681878346818677, 2.8508540763102976, 2.998370228385493, 3.1220325905034816, 3.2198463822604304, 3.290249658022761, 3.3321394617345983, 3.34489029593649, 3.328364595731515, 3.282915032311915, 3.2093786074737234, 3.1090626380067925, 2.983722864651913, 2.8355340521908854, 2.6670535729716214, 2.481178583662615, 2.281097512313158, 2.070236668068801, 1.852202867563947, 1.6307230387131035, 1.409581813236676, 1.192558152935557, 0.9833620709085584, 0.7855725073171663, 0.602577399968782, 0.4375169532380534, 0.2932310552886741, 0.17221172409564023, 0.0765613785599395, 0.007957633466693315, -0.032374792204280745, -0.043684583219536055, -0.02570640887894604, 0.021334634017006637, 0.0967267904171476, 0.19928356537060954, 0.32736359190587305, 0.47889811574989816, 0.6514256366551627, 0.8421331262651718, 1.0479031323241812, 1.2653659804706976, 1.4909561994946494, 1.7209722252160382, 1.9516383832430766, 2.1791681127069475, 2.3998273722909, 2.609997166818431, 2.8062341473919834, 2.9853282703312938, 3.1443565494120564, 3.2807320013220798, 3.3922469647429203, 3.477110067677907, 3.5339762240080566, 3.5619691569830563, 3.5606960724910293, 3.5302542364029206, 3.4712293458537635, 3.384685721733733, 3.27214848661592, 3.1355780265517215, 2.9773371643715842, 2.8001515941746558, 2.60706423953265, 2.401384299680583, 2.186631836916628, 1.9664788330965022, 1.7446877022318816, 1.5250482888009387, 1.3113144067351512, 1.1071409817383246, 0.9160228494906286, 0.7412362345630332, 0.5857838899786532, 0.45234481605988774, 0.34322940052051454, 0.2603407309822501, 0.20514272773873055, 0.17863563038415742, 0.1813392487835126, 0.2132842588471222, 0.2740116888619959, 0.36258060498130873, 0.4775838671784356, 0.617171691831653, 0.7790826263838275, 0.9606814174056679, 1.1590031379612675, 1.3708028353623054, 1.5926098679586307, 1.8207860210942275, 2.051586429076506, 2.2812222830187365, 2.505924274512309, 2.722005712763063, 2.9259242582941436, 3.1143412394835512, 3.284177558679758, 3.432665251746734, 3.5573938376724925, 3.6563506821165843, 3.727954699007876, 3.771082825858927, 3.7850888294673046, 3.7698141271020624, 3.7255904419743713, 3.653234248526477, 3.5540331005526014, 3.4297240710878296, 3.282464665089198, 3.1147966919768564, 2.9296037029901174, 2.7300627060707416, 2.5195909668083476, 2.3017887862674953, 2.0803792138822907, 1.8591457049273354, 1.641868766492047, 1.4322626528220974, 1.2339131700660892, 1.0502176318878251, 0.88432797138865, 0.7390979619315259, 0.6170354306554657, 0.5202602648653716, 0.4504689144815288, 0.40890598495546837, 0.39634339632956417, 0.4130674574222064, 0.45887407158154714, 0.5330721542875501, 0.6344952053745996, 0.761520842097456, 0.9120979659592519, 1.083781108392194, 1.2737713801723003, 1.4789633388691372, 1.6959969895346039, 1.9213140478780444, 2.1512175237999114, 2.3819336275568492, 2.609674961937867, 2.8307039422981175, 3.0413953824801565, 3.2382971986206357, 3.418188214355922, 3.5781320994776458, 3.715526538834208, 3.828146808144241, 3.9141830270443236, 3.972270465567763, 4.0015123965722115, 4.001495111451583, 3.972294847694023, 3.9144765122838114, 3.8290842223238712, 3.717623821276297, 3.5820376635868687, 3.4246720899252394, 3.248238137668761, 3.0557661445333797, 2.8505550055147117, 2.6361169328326834, 2.4161186438754654, 2.1943199619516163, 1.9745108579819284, 1.7604479873689574, 1.5557917847356042, 1.3640451698821323, 1.1884948913319302, 1.032156489669022, 0.8977238022573775, 0.7875238548863517, 0.7034778956824654, 0.6470692237754068, 0.619318351427647, 0.6207659155385552, 0.6514636246698475, 0.7109733931848174, 0.7983746770001166, 0.912279888112792, 1.050857629786069, 1.2118633633202847, 1.3926769928932334, 1.590346739111495, 1.8016385666085681, 2.023090338024919, 2.2510697875592833, 2.481835343324347, 2.7115987800344024, 2.936588652905135, 3.1531134505636147, 3.3576234094717563, 3.5467699547801224, 3.7174617722729897, 3.8669165724801777, 3.992707680163415, 4.092804669036542, 4.16560736128969, 4.20997262259517, 4.225233503912119, 4.211210409560046, 4.168214104551685, 4.097040510827372, 3.998957379527914, 3.8756830624793204, 3.7293577383608167, 3.562507575374862, 3.378002430515674, 3.1790077937628123, 2.968931781895306, 2.751368069515336, 2.5300357129034863, 2.308716874354811, 2.09119348980433, 1.8811839402422827, 1.6822807873584575, 1.4978906160328016, 1.3311769910110338, 1.1850074829567334, 1.0619056509295823, 0.9640087853441028, 0.8930321190035373, 0.8502401054962145, 0.8364252458976211, 0.8518948183258508, 0.8964657325640422, 0.969467595909318, 1.0697539389105104, 1.1957214130195097, 1.345336638691204, 1.516170254360137, 1.7054375961430392, 1.9100453270851725, 2.1266432351425646, 2.351680332542267, 2.5814643171357505, 2.8122234000640276, 3.0401694644291575, 3.261561497379055, 3.4727682334342096, 3.670328960092723, 3.851011467522604, 4.0118661719729936, 4.150275506606436, 4.263997752702125, 4.351204577275749, 4.410511648547814, 4.441001816603907, 4.442240471086319, 4.4142828187522065, 4.3576729590354875, 4.273434773092083, 4.163054778891851, 4.028457239448671, 3.8719719410020947, 3.6962951807053477, 3.5044446170815258, 3.2997087392780915, 3.0855918012573817, 2.8657551430020485, 2.643955881311576, 2.423983996815034, 2.2095988706777914, 2.004466333697186, 1.812097281900619, 1.635788886529139, 1.4785693828464777, 1.3431473622855201, 1.2318664170368587, 1.1466658965556518, 1.0890484331207135, 1.0600547802301563, 1.0602463851656205, 1.0896959875475465, 1.1479864013089487, 1.2342175004834826, 1.3470212918308464, 1.4845848219077704, 1.644680535005845, 1.824703573611255, 2.0217153967903267, 2.2324929861096323, 2.4535828151369765, 2.6813586788029298, 2.9120824142690664, 3.1419664965314262, 3.3672374605936786, 3.5841990882059673, 3.7892943011048597, 3.9791647243523744, 4.150706922383909, 4.301124366091969, 4.427974260755798, 4.529208450682404, 4.603207715610065, 4.648808884580365, 4.6653243132566375, 4.652553398540544, 4.610785937674563, 4.540797275581995, 4.4438353217024416, 4.32159965372605, 4.176213058134877, 4.010185984105501, 3.826374505992926, 3.6279324983147303, 3.4182588240661698, 3.2009404206989833, 2.979692236789854, 2.758295025160532, 2.540532034104565, 2.3301256568274864, 2.130675099906155, 1.945596114510883, 1.7780637995912143, 1.6309594347876621, 1.5068222333528007, 1.4078068229802179, 1.3356471665255856, 1.2916275267676838, 1.2765609614054017, 1.290775708392103, 1.3341096895852473, 1.4059132247477968, 1.5050599104553066, 1.6299654817413267, 1.7786143406423696, 1.9485933074217279, 2.1371320293070415, 2.3411493700966304, 2.5573050038401877, 2.7820553486559927, 3.011712904072655, 3.2425079982899536, 3.4706519114002714, 3.6924003175708173, 3.9041159838461614, 4.102329675678755, 4.2837982493232225, 4.44555895833596, 4.584979064816972, 4.699799924652902, 4.788174808552849, 4.8486998255631235, 4.880437431246259, 4.88293212687931, 4.8562180867880445, 4.8008185860972326, 4.717737238479429, 4.608441190626131, 4.4748365548503575, 4.319236491202129, 4.144322473562237, 3.9530993883144143, 3.7488452174694857, 3.535056148798342, 3.3153880321054303, 3.0935951619588966, 2.873467411961122, 2.6587667732482365, 2.4531643598811685, 2.2601789359757696, 2.08311799393507, 1.9250223704300797, 1.7886153275357706, 1.6762569516591166, 1.5899046338503906, 1.531080293255087, 1.5008448925508353, 1.4997806721085012, 1.5279814003667958, 1.585050803678134, 1.6701092019178998, 1.7818082387437404, 1.9183534598465461, 2.0775343611197075, 2.2567614035898043, 2.453109375292471, 2.663366373999133, 2.884087590576665, 3.1116529923775893, 3.3423279407512507, 3.572325727634296, 3.7978709840446707, 4.015262898702105, 4.220937188179038, 4.411525780889872, 4.583913215509588, 4.735288809428943, 4.86319372368491, 4.965562136262659, 5.040755834321983, 5.087591646100468, 5.105361253145657, 5.09384305112013, 5.053305860570095, 4.98450442552053, 4.888666775273096, 4.767473661033617, 4.623030411703314, 4.457831680108862, 4.274719669996409, 4.076836543279491, 3.8675718044817358, 3.6505055434234412, 3.429348486553842, 3.2078798607708663, 2.9898841101992852, 2.77908752560681, 2.579095847598786, 2.3933338884277626, 2.2249881834512957, 2.0769536325408096, 1.9517850249318298, 1.8516542592326601, 1.7783139749437238, 1.7330682044778867, 1.7167505371145526, 1.729710160532325, 1.771806013655151, 1.8424091487225447, 1.940413263030986, 2.0642532239924067, 2.211931277307195, 2.3810504993954025, 2.56885493392478, 2.772275740348583, 2.987982581695005, 3.212439391118971, 3.4419635834044433, 3.672787719919228, 3.9011225944419947, 4.123220683487582, 4.335438898654628, 4.5342995902055225, 4.716548780373039, 4.879210651276004, 5.0196373750426195, 5.135553451735168, 5.225093812636962, 5.286835050861218, 5.319819256324628, 5.323570055968758, 5.2981005906353715, 5.243913295022802, 5.1619914844079915, 5.053782889014732, 4.9211754117452715, 4.766465515212701, 4.592319767433574, 4.4017301900992365, 4.197964157119227, 3.9845096823871633, 3.7650170129260303, 3.543237505437008, 3.322960809764565, 3.107951411142656, 2.9018855938225205, 2.7082898816274157, 2.5304819862485908, 2.3715152521039884, 2.234127528031765, 2.120695321962646, 2.033194006252545, 1.9731647400372518, 1.941688662495342, 1.9393687891533695, 1.9663199143801873, 2.022166689153181, 2.1060499062843405, 2.216640887859887, 2.352163733975586, 2.5104250602121363, 2.688850725896428, 2.8845289381327204, 3.094259009826557, 3.3146049552469603, 3.5419530256687217, 3.772572221658994, 4.002676768729027, 4.228489510195538, 4.446305155736283, 4.6525523265425255, 4.843853358120577, 5.017080859343908, 5.169410080673168, 5.298366214637289, 5.401865836528766, 5.478251791387341, 5.52632094308929, 5.5453443208832, 5.535079326018185, 5.495773794064258, 5.428161844901303, 5.333451589868676, 5.213304901919292, 5.069809587527495, 4.905444426332608, 4.72303766392962, 4.525719652846595, 4.316870434735819, 4.100063141516344, 3.879004163216367, 3.6574710844063003, 3.439249428478075, 3.228069268988639, 3.027542769511804, 2.8411036978950586, 2.6719499277559677, 2.5229898900314778, 2.3967938712501913, 2.2955509740388127, 2.2210324605597176, 2.1745620926945013, 2.1569939656277826, 2.1686982060081386, 2.2095547741707966, 2.278955474203955, 2.3758141382001448, 2.498584814157117, 2.6452876529716463, 2.8135420610479915, 3.0006065633799217, 3.203424709598413, 3.4186762542875284, 3.642832754552835, 3.8722166538605727, 4.10306286278683, 4.33158180550738, 4.554022876311888, 4.76673724356327, 4.966238949448445, 5.149263282403786, 5.312821444768407, 5.454250600253955, 5.571258463185785, 5.661961682867246, 5.724917380320604, 5.759147309321155, 5.764154237147697, 5.739930270753238, 5.686956988934243, 5.6061973782851044, 5.499079707970506, 5.367473613332848, 5.213658788815281, 5.040286814437557, 4.850336755041621, 4.647065275797757, 4.433952109288522, 4.2146417873246715, 3.992882613195153, 3.7724638962621153, 3.5571524999080215, 3.3506297653414574, 3.1564298674731006, 2.9778806350941016, 2.818047826323608, 2.679683792434753, 2.5651813896835405, 2.4765339108883637, 2.4153017077062393, 2.382586062516624, 2.3790107474283886, 2.4047115792047387, 2.4593341450091235, 2.5420397370544854, 2.6515193967800297, 2.7860158333856333, 2.9433528496975674, 3.120971782628803, 3.315974348037871, 3.525171172548444, 3.745135199663177, 3.9722590758856136, 4.202815555918733, 4.433019915453724, 4.659093326445732, 4.877326133656648, 5.084139972898155, 5.276147690803567, 5.450210062771291, 5.603488359336405, 5.733491880746216, 5.8381196637718125, 5.915695662374662, 5.964996813127394, 5.985273515432602, 5.9762621835981555, 5.938189660584338, 5.87176941951442, 5.778189616554546, 5.6590931952175305, 5.516550375244717, 5.3530239867393385, 5.171328230032833, 4.9745815518502585, 4.7661544268643246, 4.549612919037188, 4.328658967815847, 4.1070683990905374, 3.8886276989228175, 3.677070608769271, 3.4760156039143872, 3.2889053020376906, 3.118948816519275, 2.9690680197793995, 2.8418486164728156, 2.739496845818275, 2.6638025380836585, 2.616109143846261, 2.597291237889083, 2.6077398744304228, 2.647356038914123, 2.7155523060100446, 2.811262676061644, 2.9329604252692008, 3.0786836707070346, 3.246068222087843, 3.432387170171233, 3.6345965489073695, 3.8493863067026344, 4.073235733292296, 4.3024724140967265, 4.533333724868619, 4.762029836902923, 4.984807177786022, 5.198011285032434, 5.398148000124152, 5.581941978257051, 5.74639153404807, 5.8888189048101145, 6.006915089735983, 6.098778514157857, 6.162946871449001, 6.198421609374195, 6.2046846508646345, 6.181707069227706, 6.129949572524941, 6.050354789007339, 5.944331482788586, 5.813730964064824, 5.66081608889261, 5.4882233676239345, 5.298918816493622, 5.096148291624511, 4.883383137109241, 4.664262057291591, 4.442530186597381, 4.2219763771922745, 4.006369754584509, 3.7993966035516324, 3.604598641235987, 3.4253137110285525, 3.2646198903216748, 3.125283948048723, 3.0097150150888203, 2.9199242433276758, 2.8574911288833746, 2.823537063415785, 2.8187065564033595, 2.8431564428203933, 2.896553256932609, 2.978078816186838, 3.0864439216923385, 3.2199099458792704, 3.376317945848128, 3.553124814907017, 3.7474458669385613, 3.9561031405199567, 4.175678613943826, 4.402571440052127, 4.633058242486206, 4.863355463689743, 5.089682720647686, 5.308326107466668, 5.515700384795603 ]
73
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Linear Trend", "Speed Up/Down Anomaly", "Cutoff Anomaly", "Flip Anomaly" ]
You should first identify the time series with the anomaly. Remember, both time series share similar pattern. Then, you should check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
415
null
The given time series is a sawtooth wave. What is the most likely amplitude of the sawtooth wave?
[ "7.26", "2.75", "17.62" ]
7.26
multiple-choice
null
null
23
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sawtooth Wave", "Amplitude" ]
Check the distance between the peak and the baseline.
Pattern Recognition
Cycle Recognition
416
[ -7.357121188060406, -6.7101938863834905, -6.352688913774139, -5.9891256984922325, -5.645795077123653, -5.288377973064088, -4.898323960254553, -4.438723883804502, -3.9493906931484686, -3.711321494397867, -3.2650250560903267, -2.938184815501144, -2.378812504340026, -1.9563571232047965, -1.7136070534708057, -1.5786242852846057, -0.6673087949583939, -0.48100720956195303, 0.06128687105096284, 0.25831865769397594, 0.7514918714163358, 1.2169752074447966, 1.5292359054358666, 2.1185483088433266, 2.229510124784524, 3.0000901203079007, 3.1978033569425, 3.4142711651197546, 4.130081838659083, 4.1211484481166964, 4.733647805457843, 5.085045851074992, 5.603095420163175, 5.772084022925812, 6.215995099081117, 6.772446010874164, 7.202167053849493, -6.929286106077832, -6.453195436915564, -6.20484900431481, -5.756663339491227, -5.282653319953343, -4.880721468312974, -4.553802605958047, -4.073889907726201, -3.70350293627561, -3.2921617989741123, -2.763453763396101, -2.606511097806779, -2.0488523347364134, -1.5728670845138708, -1.2700214774390484, -0.8809503066870927, -0.5160597624188168, 0.010370983387692545, 0.3740780688684118, 0.8152428001839599, 1.295735531603176, 1.5016613607915454, 1.850402397880216, 2.292022180794506, 2.827036927922979, 3.2720458330091695, 3.482595107923456, 3.9735531711722443, 4.143827611123415, 4.766761629213454, 5.33177453030798, 5.542844658006242, 5.973024169721279, 6.2583283755354815, 6.921910237242571, 7.079760820119409, -6.9511035212705545, -6.578375861506824, -6.279784948470785, -5.863496157171064, -5.305452709179971, -4.947869218376324, -4.552956441892281, -4.10096923922268, -3.730505640819121, -3.324872152081537, -2.961225964004963, -2.5785562103055475, -2.0347923281160187, -1.7868864607560675, -1.1907839396725295, -1.0186325126079274, -0.5838700964917324, -0.11225877863114014, 0.16390965584213563, 0.6528675740372126, 1.0300630355060398, 1.3457712919815668, 1.7590487226712397, 2.315656377574715, 2.6151186284251793, 3.0933257789463995, 3.3040291878381467, 3.794645035443443, 4.145311351067547, 4.729197200967176, 4.949977201419558, 5.433342864158136, 5.98648668490681, 6.110226065169039, 6.558810305060331, 6.949966555182226, -7.0700121885536324, -6.748821968085948, -6.3149510679204095, -5.713466744263336, -5.366661552562322, -5.181118250021217, -4.6345461807339925, -4.190761066949857, -3.823199024676958, -3.4830882948271276, -3.0597580640150035, -2.544318410457663, -2.304972727232064, -1.804902880310033, -1.302382537736954, -1.0202953935192254, -0.6811366399022168, -0.32319842770119245, 0.17524842829779086, 0.6637283376553859, 1.0257626257952444, 1.4831225621658273, 1.6206262382113148, 2.2322210974457937, 2.6169989626485455, 2.8536303325418175, 3.24373929916977, 3.689620713681832, 4.25046705577969, 4.721266481004025, 4.966776706842025, 5.443416910104149, 5.83874348043343, 6.260580648261386, 6.754374324412764, 6.964327993825044, -7.299751070362931, -6.7239973176254395, -6.415827859382798, -5.913115201209363, -5.43291300247655, -5.174875758506098, -4.798328957686679, -4.206192912474679, -3.950561843894065, -3.423581113654767, -3.25886666214773, -2.6107256693880148, -2.213338201614219, -1.8115747785317158, -1.297344907242117, -1.1066943865961711, -0.7937959670348934, -0.3088878282386975, 0.07921450808198377, 0.5266801347852113, 0.8303467531033596, 1.50916705393763, 1.6869446832221093, 2.254023622650506, 2.559744277419041, 2.826415649318869, 3.090160593156055, 3.705867837419464, 4.059618528189521, 4.466623951312822, 5.0928403084305, 5.360413219460777, 5.777813523447313, 6.297270332924862, 6.464022673996504, 7.087922497356924, -7.181711672652522, -6.8760472809525, -6.266027842518664, -6.033842791686066, -5.69597728273594, -5.1110122014374095, -4.903332337524343, -4.305783336295182, -3.986990767283001, -3.6409436164491265, -3.2220139304423396, -2.711495864831909, -2.28863066514376, -2.081433951308018, -1.6579082722760705, -1.0891985514524203, -0.7664508956598444, -0.30907404341069294, 0.10221154259288392, 0.44133487719392595, 0.8059755476138251, 1.1587059734661826, 1.6353869899796636, 2.18561419767915, 2.4985972041618965, 2.809156052479876, 3.281680634939054, 3.779258752223917, 4.027986308894308, 4.451354934550727, 4.829187415470395, 5.264169396143167, 5.596645619076982, 6.0665016920565105, 6.538389069597352, 6.8323290533735825, -7.393382112537136, -6.701900756724587, -6.304511538890412, -5.797126221460008, -5.646116358514507, -5.145868597495529, -4.91666901916376, -4.283443965048929, -4.018296664152509, -3.6404195443517318, -3.0263100367555227, -2.9243699854278993, -2.414869407152086, -2.1508245344026693, -1.5433552315468881, -1.3026349818471652, -0.9930967137484057, -0.39715303293832993, 0.20724854295673, 0.46898606753836647, 0.8654285491724099, 1.1779801634720826, 1.6018282519757023, 2.0347847014837526, 2.220904543059321, 2.8826133089199217, 3.26116870296553, 3.563787867880475, 3.996523958086293, 4.542285945096609, 4.572017414983402, 5.145394847582608, 5.599217819979937, 6.081757487544392, 6.4031610366824365, 6.763065260737235, 7.293451407359883, -7.046304301182933, -6.447154363636131, -6.18975799298269, -5.804759749921522, -5.135247220531768, -4.917213300408189, -4.506424976552691, -3.9516663381738817, -3.7032512948348555, -3.2531177818035855, -2.80339116251305, -2.4534518037768027, -1.8831045170756102, -1.8088533096042734, -1.0962923154742406, -0.9834328531122781, -0.3596607989945104, -0.10130520969755805, 0.3521815786004611, 0.6487913782601014, 1.1935806029329779, 1.665146013708774, 1.9364472552549858, 2.306466718853295, 2.772164883271903, 3.1752637000336486, 3.6087790710306393, 3.9146893581644018, 4.327702227713614, 4.924848303986942, 5.208831688151276, 5.8317120380034835, 5.943340574271167, 6.430462553875561, 6.817212020172521, 7.126401285575373, -6.927254170833151, -6.454723274229882, -6.395912653070914, -5.844072386166227, -5.266466955448749, -5.091048445968728, -4.584925231033805, -4.192938988651861, -3.7006461421130887, -3.1855047549556765, -3.051758335394778, -2.5465597195491405, -2.2212629967420767, -1.6970689517206685, -1.355685905408948, -0.889167998270235, -0.49172686369930896, 0.0018973381937219813, 0.15945305218467734, 0.8166541902405831, 1.1389995247086604, 1.469897984710525, 1.9629883590120756, 2.186426628554722, 2.8925622541075353, 3.0051267757178084, 3.26858793725983, 3.8933037788158793, 4.292538147201437, 4.721890284205085, 5.234324532131602, 5.514199995682207, 5.954094064057631, 6.439785485903333, 6.804354079978069, 7.372755149830562, -6.927362648461104, -6.651239833424638, -6.308947309638632, -5.851283665892018, -5.478913000869124, -5.046177850724267, -4.759979454763934, -4.405040315243019, -3.9299250593538666, -3.366486993113743, -2.9634660609159695, -2.5061540336809545, -2.1616520140854094, -1.7198239079931137, -1.4651749501916105, -0.9487063271669234, -0.48345240608643525, -0.11551498341408979, 0.052886099095812655, 0.7252186116032561, 1.1214972468282651, 1.438254796646464, 1.8266429558166983, 2.312772260610238, 2.766368816363294, 3.3318050445133007, 3.4463994108515346, 4.0664538803037615, 4.359624244216923, 4.640738136085953, 5.032114635580248, 5.39615066867414, 5.7330198059977935, 6.101688142295139, 6.5987186843327175, 6.879188593290788, -7.165076771473239, -6.4591772176167686, -6.174632558306008, -5.860017178247393, -5.471233036405829, -4.937342510095383, -4.705462702724975, -4.154000737457785, -4.040137806746349, -3.4160259230333936, -2.9424940886717437, -2.6057190981491045, -2.248684631545533, -1.8234922736926864, -1.4278483023485458, -1.1084101139319176, -0.5052328454489589, -0.41668738301703145, 0.06156889201246696, 0.5076052890951993, 1.020507911389176, 1.1432027848794268, 1.7868114782714275, 2.235696661850333, 2.539582133481648, 3.002096045739299, 3.550459152141746, 3.897532258513862, 4.217968313699502, 4.66692322049919, 4.882933774352748, 5.448722194225396, 5.810038532499458, 6.135382510381797, 6.58137937712361, 6.934076603953458, -7.012584873975256, -6.658564290945402, -6.299686266396639, -6.0836402470441655, -5.462808064950872, -5.123756290336193, -4.511038270636073, -4.38935089484339, -3.987560441363927, -3.5234159401789746, -3.2610113646195216, -2.644512467505386, -2.0727648197017357, -1.9431928326788417, -1.4875984093195953, -1.0672947516808644, -0.6100194330211219, -0.3610134277074909, -0.05806858872995746, 0.6314639569366344, 1.091058668112567, 1.366754705647965, 1.7009368664884787, 2.0575285439550766, 2.526723604956198, 2.8972641837932005, 3.4962135975989233, 3.7584639931704715, 4.164580701364536, 4.514080033835414, 4.877084587097967, 5.163429657030917, 5.601078893424702, 6.207654100413073, 6.432227884491972, 6.774077380155511, -7.314203316451781, -7.01015400424969, -6.276664042040431, -5.969065364186415, -5.564269109697119, -5.241487655781678, -4.767574195920713, -4.278356133406624, -3.928758314175107, -3.67356775764819, -3.254044219654602, -2.7422999585413685, -2.370211184982488, -1.9290307881420745, -1.5573800423633302, -1.0789048283254634, -0.8573604787714671, -0.4641078430214427, -0.1328655357780392, 0.4805482033387971, 0.8740253752559433, 1.1582452507020753, 1.5568584797247242, 2.1879103669877615, 2.344276779453993, 2.966601448503136, 3.1311416225286184, 3.6513054954064885, 3.9714783983819277, 4.571949678391484, 4.962397487218354, 5.140758280142759, 5.608253082038943, 6.103169088034822, 6.485947218617531, 6.848917152833899, -7.213689594430653, -6.793595350868157, -6.51216078003097, -6.085655542968296, -5.694910885792403, -5.344146753817886, -4.733690068660621, -4.387382535218303, -3.9511061361466218, -3.6683625349428493, -3.3934086988296754, -2.792869716597841, -2.4657405756153516, -2.0596468293179657, -1.8006563148713848, -1.2053553833245472, -0.7107086804952472, -0.4437479028087022, -0.16063234456672, 0.28237575752578586, 0.685444952546625, 1.0912997770188761, 1.6042763561581526, 2.1514175259677715, 2.4713213324941408, 2.9590223813100827, 3.3327390359836757, 3.5451522086791747, 3.98385037889501, 4.4446105966617155, 4.827272227505196, 5.178536509097075, 5.7368779213662835, 5.957435038754308, 6.509935721529311, 6.584156468251852, 7.196566305462076, -6.919582736818996, -6.482157269774115, -6.23938916697309, -5.652418811375448, -5.417427909877746, -4.604126488068246, -4.5286633113310835, -3.9674577751731834, -3.687781450923514, -3.1651328604664553, -3.048136926349718, -2.474188133225321, -2.0714496401186535, -1.6559433447436969, -1.4932027970386883, -0.9215821659353619, -0.4548066274356389, 0.0026895677523482014, 0.3256315801788469, 0.5428631688454001, 1.2271212440813943, 1.5366783835924325, 1.8873874436715141, 2.3050906445289145, 2.6889869606907557, 3.1468213156114864, 3.592915103044745, 4.127133089233354, 4.383422291729937, 4.79867275481514, 5.203177469825106, 5.55188518567377, 5.999223658747986, 6.2881507057834956, 6.698742093099787, 7.189392883671237, -6.815478476020496, -6.399074036864722, -5.9778076734054375, -5.972163162086562, -5.351840359399977, -4.91941186469371, -4.59779314671871, -4.109527721109643, -3.7349994405927656, -3.215888436619754, -3.017246632533629, -2.413226780770556, -2.146805848047712, -1.7560842860405548, -1.5136731690631982, -0.7877187250977554, -0.36622406691590625, -0.10148981988032019, 0.1615475493837018, 0.828292108608442, 1.2115720355215633, 1.4316291827214707, 2.0054247264423264, 2.362738708975102, 2.7024190219527107, 3.0454628860269675, 3.6246517470121606, 3.8955136256170206, 4.225401349828915, 4.835162338115311, 5.1755189549481955, 5.554866188658775, 5.9910175163255, 6.327280914795054, 6.777208559883644, 6.86375934299242, -7.124990641580899, -6.670575177279125, -6.127633617074029, -5.777969708977314, -5.2220607572257425, -5.240835283655632, -4.540533766700014, -4.154661009192753, -3.989661648094847, -3.301252109825859, -2.973893987427534, -2.7463586991575806, -2.2948978787568257, -1.8378034511123595, -1.4028615350173024, -0.8438290734560738, -0.5373902273899261, -0.13918065869796717, 0.2975028012622626, 0.6762164057237214, 1.0269560908192832, 1.4029053598564714, 1.643310169519517, 2.1466600836009695, 2.546319778393601, 2.907643548334672, 3.592446643788124, 3.7562231550390788, 4.324490152830636, 4.53730776533588, 4.870369697255265, 5.56943518152024, 5.758561053380205, 6.153288516728123, 6.413060863656143, 7.223032168445477, -7.166845289978453, -6.540953048812634, -6.167141787568775, -5.866173681247182, -5.559557416568416, -4.9918583362880025, -4.473698963663886, -4.0361428991254575, -3.7734938210648608, -3.3979120506795955, -3.0618157604510188, -2.5379754890456594, -2.357469531704066, -1.9761982765461217, -1.5375917707655626, -1.107353764906648, -0.5215401006812133, -0.26832614059336185, 0.10625064878371164, 0.6023129061086726, 0.9222828361144636, 1.3544160564199508, 1.5691618468103066, 2.0980170192398093, 2.586691123340613, 2.90824573580086, 3.2810095834822, 3.989080771641956, 4.0423822932334925, 4.67092140808549, 5.011218149063739, 5.308715292601626, 5.756704783998276, 6.078907687402362, 6.740174967786425, 7.193991214725853, -7.1035187803128625, -6.56454991991163, -6.311180466636343, -5.806750616425827, -5.463021770329675, -5.271174647056018, -4.583538100652504, -4.196973880096311, -3.9578849392428173, -3.5529160767411785, -3.1078352338050212, -2.7483393725906153, -2.262604728992674, -1.7834069821012686, -1.4490594308854934, -1.266148489927019, -0.5538516938742898, -0.3270104265779171, 0.09176427892457809, 0.44876105505449293, 0.8715421111424267, 1.1856648186464749, 1.7748808153319613, 2.1294321307605357, 2.4068805327081186, 3.0446215826695977, 3.174070608227058, 3.6558447733275243, 4.143781491556254, 4.470344592510277, 4.8839631582935, 5.258297660568851, 5.771410832469869, 6.07573097449445, 6.591124966814496, 6.748043492145615, -7.166295660792534, -6.787228531976421, -6.33400264468909, -6.045214331488246, -5.58842975565843, -5.039845299955136, -4.820806528584571, -4.231003389002611, -3.80568145287659, -3.410745779544997, -3.1820773322177116, -2.756170099166233, -2.427978638934356, -2.0506988581100902, -1.4862326997873436, -1.1275392835983002, -0.7034387408285224, -0.5030275126346129, -0.06164818940530328, 0.4377531296855538, 0.8540154233869184, 1.1137554380313117, 1.5886832576730068, 2.2283384012093954, 2.473637413282416, 2.895157508955813, 3.367255753038712, 3.636813606862293, 4.046959307745406, 4.171560196334721, 4.915873970278527, 5.2442699202233705, 5.78094643459315, 6.1267886530538345, 6.3527707325653235, 6.974543322374643, -7.111963084604475, -6.812334072581629, -6.5867032456421395, -6.080579922515107, -5.670714701797069, -5.09835315406796, -4.77997607186881, -4.415327403073801, -4.002082164975166, -3.6430153085128545, -3.267054229653241, -2.8936607797571763, -2.509439653032846, -2.090037162808288, -1.6000298569494067, -1.375473444762457, -0.7203410802096002, -0.4340920009001335, -0.0705776836719143, 0.2664664873884287, 0.8986835927324185, 1.003455182197996, 1.7290038199601936, 1.8981281325604442, 2.225841052116143, 2.762970601869003, 3.256620732534709, 3.6104537705490327, 3.8791566967320623, 4.380593053233174, 4.850879540778973, 5.198579296324182, 5.476736541840843, 6.094338920606116, 6.333450172908469, 6.621563681064994, 7.246639522602252, -6.632148237877138, -6.521828866562061, -6.057156138599663, -5.549778286293083, -5.365690372911372, -4.870314275774197, -4.545679253295767, -4.180963617888977, -3.853462881305597, -3.213275794503199, -3.033688352945338, -2.444850044886998, -2.0672583810171212, -1.845250584891059, -1.1531660235012795, -1.0420735452473444, -0.3900491298637489, -0.3206003194634409, 0.31960519828478756, 0.7602277113198268, 1.111009277033514, 1.70253412669963, 2.1279486456012924, 2.417929251816052, 2.875164368857061, 2.970797255858419, 3.448029106367491, 3.979629617122299, 4.259709272248164, 4.580913364409593, 5.2967541077192095, 5.540941275068154, 5.735685989493161, 6.4470441762769966, 6.751211724991067, 7.007625160030328, -6.944980107386661, -6.635843144841476, -6.116038409520888, -5.772705741909424, -5.363344793715769, -4.89322308467995, -4.6791090623866465, -4.100498181792376, -3.6779281872347847, -3.460590983815105, -2.925670050279576, -2.4742192963874605, -1.9970887283557024, -1.7819407310808049, -1.3678070715663957, -0.8364139711056765, -0.4449756388148535, -0.17901048772686845, 0.20368837112119204, 0.7280785709404461, 1.1004462946545521, 1.3636774728293528, 1.9522213034786606, 2.1056728893497536, 2.6529256336301024, 3.2234689675974004, 3.3295733817018625, 3.976758353427963, 4.137687547904336, 4.692083302471821, 5.217324064170713, 5.461396474804272, 5.996572228860153, 6.361023186632981, 6.683433981244271, 7.129848976695925, -7.04321003961795, -6.5767755201070415, -6.445851260458975, -5.806477182817681, -5.253910671080976, -4.967431162170845, -4.4880112389468305, -4.24509000161997, -3.6988688781952304, -3.578921069948754, -2.9015280327250523, -2.69933157264966, -2.396681578538367, -1.80707374844598, -1.4405167900276994, -0.9429356880523468, -0.7012805702667081, -0.199288103632368, -0.08519860957713865, 0.5416174649682393, 0.9524014326486424, 1.314726626202023, 1.7406849107532745, 2.2068837118792812, 2.6819180779225293, 2.919967529392068, 3.4311324136186023, 3.8083313720429985, 4.320192109733943, 4.644025309079082, 5.053896663351786, 5.229872238485291, 5.863917598459548, 6.199854717788928, 6.534699759186459, 7.079550592232029, -7.273563435958685, -6.645900719999706, -6.177154856251777, -5.868879287880082, -5.500878183070732, -4.993524701074053, -4.50038810181316, -4.395179506329271, -3.8680676207637066, -3.379664969282641, -3.190040898635263, -2.4941604125122785, -2.3356848236502543, -1.7820282098060458, -1.5657463739683193, -1.1744935340335607, -0.6069518893192898, -0.2960168953278556, 0.09627959206282569, 0.5231417027755811, 0.9323178338051192, 1.530813333412521, 1.8197422247884563, 2.2311670613597454, 2.7499778289543584, 3.133707640152959, 3.3399293709440543, 3.7476070931317005, 4.19500717456071, 4.584442658154579, 5.071144015961567, 5.549743991591519, 5.810853530548334, 6.111744727414965, 6.5752111558007345, 7.0354736170308305, -7.198531479438943, -6.545576292341786, -6.261224171766991, -5.85226194867726, -5.472909206622805, -5.1349253501579035, -4.845984206911822, -4.467149047114526, -4.0175924194469115, -3.5653939262641563, -3.163332261863212, -2.720656468003744, -2.244010506951311, -1.804404718648331, -1.4799161541995731, -1.0261603909455643, -0.734303414269155, -0.2280333748178376, 0.08036812607244698, 0.40714941840286545, 0.7738290102096262, 1.2441116560074614, 1.8164377114857713, 2.0196112977791443, 2.6165915016545753, 2.997307597149515, 3.339688671932695, 3.7315533344039733, 4.140508188366053, 4.470791483111879, 4.926740269780847, 5.520135407980122, 5.734568626785785, 6.264004306957971, 6.50958615970126, 7.01699772089558, -7.009454053518533, -6.885138319594263, -6.528881199605985, -5.94900762821007, -5.4796929497165845, -5.190592693015679, -4.829803807765957, -4.397484430110309, -3.9658678904502582, -3.547242408622751, -3.327055085395556, -3.0620510768277556, -2.276287324468012, -1.767099579204075, -1.7572099703472555, -1.316193382423854, -0.7203250466498708, -0.3032739024866732, 0.07343922172924389, 0.3652245398506351, 0.7184252034191654, 1.3999402894637911, 1.403041595590285, 2.186037222056766, 2.478467812015893, 3.004754516239446, 3.483891632790694, 3.7523508011553166, 3.987633101721888, 4.446929679823824, 4.868878513121809, 5.3493722784426225, 5.687140724086883, 6.081678587995831, 6.502821491639302, 6.903302665136034, -7.3973707448694945, -6.792668423837641, -6.345051900158216, -6.087558367654, -5.5517357483534635, -5.018550586001396, -5.004296758504952, -4.456382885430089, -4.09483505028179, -3.70545645342861, -3.167222712943221, -2.8752291774008554, -2.6147539616369055, -1.9840451330525184, -1.7474465155859493, -1.1523237841569, -0.8867838337639544, -0.5075156836382574, -0.07135932423252539, 0.28874551292171663, 0.9452340787503978, 1.118637141566262, 1.682858491251376, 2.026674157212311, 2.467821606143961, 2.5805880732166906, 3.2124473129994255, 3.6410050726237864, 3.9397137520987684, 4.464409975456937, 4.849850542644726, 5.056313497083013, 5.5032319529577824, 6.149965143714661, 6.312668794479964, 6.93578985484285, 7.189603135730751, -6.918612912093456, -6.3903072154100595, -6.186054259702269, -5.774946098576092, -5.263944039069147, -4.796517720631109, -4.515064604020451, -4.015666535278454, -3.9107084587261154, -3.305515522722221, -2.9654291556478647 ]
The time series has a trend and cyclic component added together. Which components are most likely present in the given time series?
[ "Linear trend and sine wave", "No trend and sawtooth wave", "Exponential trend and sine wave" ]
Linear trend and sine wave
multiple-choice
null
null
26
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Sine Wave", "Sawtooth Wave", "Additive Composition" ]
For trend, check if the slope is constant or changes over time. For cyclic component, check the overall shape of the time series.
Pattern Recognition
Cycle Recognition
417
[ -0.0010639799195431736, 0.4220311891216292, 1.141096823803104, 1.691778461124227, 2.1463555705807464, 2.295146615442859, 2.6119191889176543, 2.59409227396155, 2.72176427357522, 2.407762220515843, 2.2202161251280974, 1.8089088253841905, 1.2481774560438654, 0.827936093775071, 0.3052245633219448, -0.569010569601459, -0.9014055550878396, -1.4397000527903625, -1.977139350416409, -2.18884198590958, -2.353530745313605, -2.5315636768217873, -2.5724987381205158, -2.496129096565972, -2.3183590338186555, -1.8530417477873093, -1.4576957949872147, -1.1374687920473228, -0.29756006363757853, 0.34700229665077775, 0.5185929418194853, 1.2121493334643871, 1.715731267670275, 2.1862482194132475, 2.3315338238449534, 2.7986559190097724, 2.7411300871514572, 2.628502954526302, 2.609779374637397, 2.1603446989481205, 1.8199698218542644, 1.3397819524921462, 0.9262723964590499, 0.14163199871414822, -0.19482786950030415, -0.9737786353968347, -1.4037227629491875, -1.7793277608458038, -2.2298172330149577, -2.4624693983854935, -2.4669289238993666, -2.516152794089797, -2.3235580468460904, -2.0297584963701993, -1.678013364051832, -1.3789419703766161, -0.7504261720340262, -0.15388127014627306, 0.23078085285910183, 0.856748237111996, 1.5107284804172265, 1.944243693675491, 2.208320101463492, 2.626012241027403, 2.720071372949863, 2.89573588571533, 2.8264435802397276, 2.549644864466303, 2.1165503479208208, 1.7827293778900837, 1.1821992861134667, 0.6310063903578396, 0.3614270541074944, -0.4397081571243826, -0.9004288065197805, -1.390165294950493, -1.865869738432595, -2.1671565551748557, -2.161022728460669, -2.2931124999911043, -2.4757708590483216, -2.252317921879794, -2.022258428859749, -1.7131005088624023, -1.2257715880984468, -0.6226069154907662, -0.15939636569042145, 0.5010652685760058, 0.9866024613819289, 1.4758186006690754, 1.908222631363957, 2.403384536661416, 2.5792109492834876, 2.7672993543530295, 2.7409677447678553, 2.6789910769747394, 2.5728228455048305, 2.0891737114635127, 1.5573028908855595, 1.2788301160045568, 0.4900896870812644, 0.14523358407538564, -0.23043071898690326, -1.0186523237882215, -1.7012970373030853, -1.8830676785961362, -2.1418185717434417, -2.3839581690757776, -2.6104926869018126, -2.462767976940535, -2.0293557419415733, -1.8521866317678537, -1.2560490551272991, -1.14610803698071, -0.6441415533966127, 0.050662895064260985, 0.7840954241034852, 1.110516614250047, 1.8365475640937372, 2.191555612275291, 2.450622973686851, 2.728581620242556, 2.9276132368523435, 2.8941018869070327, 2.797388324366737, 2.459004799317384, 2.1310803595814125, 1.6504462659254302, 1.0080437912018385, 0.46756504836178303, -0.135990530328044, -0.46240535414443096, -1.1321822413520248, -1.3705439636018644, -1.9775999531759947, -2.155188227806507, -2.3186587530341836, -2.1624973265336864, -2.2986499346038514, -2.1460962934714347, -1.5253787947852486, -1.4919934806901927, -0.8703551618429828, -0.41137995240916253, 0.28021379171673955, 0.8439001298174762, 1.2318860934167553, 1.9454398428893025, 2.3276298745305293, 2.6468520945122114, 2.7968220489264812, 3.0550984996648842, 2.7902343616068395, 2.7350790384299457, 2.4590389641698236, 2.0942851069456303, 1.7276491289154123, 1.194571250047098, 0.5664485868018787, 0.13140009455859683, -0.5753385158856116, -1.26057327090487, -1.544109238998426, -1.7796618633063488, -2.0919486827018923, -2.2911125089897797, -2.4433753802958997, -2.1756068404514446, -2.0528906467039088, -1.6256746907187376, -1.2203615542764734, -0.670580617449134, -0.18912497364689745, 0.6103493131790235, 0.9948046993338523, 1.5847954128255748, 2.073768845594019, 2.582419773814256, 2.724681609701479, 2.7157325441880147, 2.879418610577289, 3.018824103379752, 2.7910894445586734, 2.632244556243083, 2.090893542652257, 1.6419035982818941, 1.1573709579633016, 0.3773246750880557, 0.06928388371424968, -0.457279683981739, -1.279591046535404, -1.3995333595042707, -1.8619108107562787, -2.151802174056119, -2.446040815499379, -2.2408116508132743, -2.1932085485333817, -1.9413467507322373, -1.4438301218843237, -0.9523432120398645, -0.6762729898998402, 0.058248568400906475, 0.57400328145132, 1.21252929426552, 1.7498433577322683, 2.047316760040032, 2.4078054746956714, 2.678615574908045, 2.955523771676729, 3.14443080983495, 2.966020130314797, 2.749860516078268, 2.364422622407134, 2.0755780122017398, 1.4472810337271387, 0.9024771816259987, 0.4302294720153886, -0.14477390206636864, -0.6433952895389808, -1.0672176935661244, -1.6092026640718928, -1.7063088963269943, -2.073530913273361, -2.1826497523850024, -2.2423803181923145, -1.9540603841089785, -1.764021803257146, -1.4625520531656961, -0.8442301309195583, -0.4436380955243644, 0.18221472338638584, 0.7480726366741121, 1.4810599433513503, 1.8317547220096297, 2.2558441924339516, 2.6880763530886527, 2.786539267760408, 3.13633334818145, 3.1084993882942293, 2.951878886494149, 2.5720687103435194, 2.3026016417922643, 1.9028995461740996, 1.5713777393508825, 0.9616774093263246, 0.4362080951983719, -0.006512885202983376, -0.7796736608583, -1.326216077182741, -1.4802420273027606, -1.8764723648173505, -1.9161229536826756, -2.1916181433849444, -2.0777893482413363, -1.677187614542673, -1.558172397841871, -1.0588735635395419, -0.7384389502979385, -0.11603322919609971, 0.37827172346384597, 0.8845083494036851, 1.5104752583233927, 1.8246622494773421, 2.36251618404642, 2.656378605070494, 2.980161981675198, 3.160964282728061, 3.2400199759268062, 3.203965802113939, 2.7721573007187064, 2.336362072181116, 1.9097947496147039, 1.3746337709019296, 1.1606262603861428, 0.37910601921908094, -0.14435150811345301, -0.8853449679571757, -1.239355005647215, -1.7636213450635818, -1.8812113985654384, -1.9392169421948973, -2.0471688102112373, -1.8917721732038233, -1.6434069618382896, -1.5082941433268755, -1.2450730534569978, -0.5969822346039099, 0.08127009093649981, 0.47347913488472493, 1.1436237187987879, 1.886125272960936, 2.26591237427781, 2.4897092917731993, 2.956382667705628, 3.267466741600494, 3.223385066852772, 3.2794083340275364, 3.1855073361129502, 2.7889964022870686, 2.43430289993553, 1.894805382575873, 1.3347529569552368, 0.7439382216035426, 0.35819851562140076, -0.25930098319825773, -0.988713488542651, -1.1077144783296953, -1.706285374776994, -1.8007535931392478, -2.0330624135111632, -2.0333775527061158, -1.8837371405243257, -1.6235503062522145, -1.3184128937869555, -1.182628245602448, -0.402951089816074, 0.2825704519048533, 0.8148383333819014, 1.2045368172199682, 1.883569074627073, 2.288099495089598, 2.8068034844151204, 2.826039507113085, 3.328666766507081, 3.2375214631363627, 3.187065851568982, 2.9513097410932376, 2.8983682126335215, 2.43770703481257, 2.0497368303652834, 1.4765561552169737, 0.7716270092763071, 0.22575755637419778, -0.4576915799415575, -0.8210754467257032, -1.2749401699998957, -1.5858294377772928, -1.8867937192514073, -1.9576018633937324, -1.99105720095498, -1.874222181182817, -1.6046902677484303, -1.2948902455864244, -0.9517566887361979, -0.1744843955440843, 0.22740711156610355, 0.6906412359042606, 1.5307240266362696, 2.0443925440181476, 2.4029191461327875, 2.7722302047539493, 3.1750632478280036, 3.4163797419272885, 3.2336185860144493, 3.2269235622560344, 2.9691725151773403, 2.849216237240878, 2.465669169919319, 1.7181802738819965, 1.1477081050083233, 0.850823429221473, 0.2396211193402108, -0.43353053018462084, -0.9241907595466572, -1.0617955865945, -1.5025864247479546, -1.9420972443449922, -2.041668842912434, -1.8053539118660495, -1.7561494610749546, -1.4486057127665597, -1.248374578949537, -0.5171946762006752, -0.11578836724745312, 0.41418488103322926, 1.027981328042939, 1.5554953045998787, 2.0284440565963453, 2.338978281563386, 2.901462176346603, 3.369011367440586, 3.2562978608407986, 3.5750609439348837, 3.2781534465003386, 2.9573921941939223, 2.574504486610158, 2.2863170431241344, 1.7820716261761844, 1.2247219042153816, 0.6515211989620706, 0.07802231903230133, -0.34312947172598773, -0.867162310272435, -1.2240320099578972, -1.754367276158905, -1.946838094396735, -1.8652352177844065, -1.7750819632542434, -1.6362916976623096, -1.323919935781017, -1.0110920674827735, -0.5521449493862013, -0.05617551696981349, 0.618778347031228, 1.2327317997533103, 1.8273685620222235, 2.3114515211679847, 2.505054660919183, 3.0911179437342025, 3.3756751356495713, 3.5017208152665513, 3.4164611286713313, 3.364055808118595, 2.895048978145704, 2.612237903129474, 2.1683686659956996, 1.6491426221810637, 1.1764272855526527, 0.741608097216019, -0.18228186227838444, -0.6676457147404028, -0.6457190935628299, -1.096561678325133, -1.4708480871063234, -1.6937463799390575, -1.7434508308021524, -1.51889054417466, -1.4746679215231129, -1.1684819208864763, -0.8541637621172556, -0.24754194395514123, 0.025717283822656256, 0.8021214705377642, 1.4190143962258845, 2.060161906690752, 2.250400741930693, 2.9613231388643055, 3.1482430026124937, 3.6542185020003584, 3.3788257091552967, 3.49899387480988, 3.3833169577562847, 3.219962037029589, 2.790385607799733, 2.3917429796555343, 1.5455049195599353, 1.2314439706030191, 0.5103460823066321, 0.07507303288131914, -0.4264375534506158, -0.910332808482715, -1.296849973759463, -1.5624777971009383, -1.7443208448053913, -1.8037913656759084, -1.6891240910136012, -1.417254304309011, -0.9340981700885859, -0.7349860894055974, -0.14529307932156713, 0.20475766622232483, 1.0540721610885035, 1.4255948395397067, 1.9058400325664917, 2.656586569414865, 3.0132474008070274, 3.2833496112240343, 3.4534525614813827, 3.38557734976005, 3.6067937431540504, 3.385876280990068, 3.012383624932168, 2.5881332247618083, 2.2292577505783626, 1.7295696119881792, 1.1914843142023523, 0.5317129651534933, 0.07657476063860212, -0.5110112847311084, -1.0590481597609225, -1.2910906779125741, -1.5806251255712842, -1.6874996910057949, -1.736983927049864, -1.48895391646589, -1.1471624004615832, -0.7888207981317393, -0.6026693258054452, -0.15334944155470004, 0.5037493276990676, 1.1625718537503331, 1.7089804041631225, 2.1728773082786774, 2.603595237729984, 3.3097489304923586, 3.434188047839696, 3.491845942311272, 3.3438470015544453, 3.446306105585942, 3.4228121204559914, 3.045929802779437, 2.8447544609629425, 2.214767261320813, 1.4397811716994346, 1.0386643754618117, 0.4340739468213521, 0.0583886371569243, -0.6049790519430268, -0.920842508866153, -1.3553045407972, -1.5169755309284514, -1.749947965676455, -1.852924631111373, -1.4499808950095205, -1.307625901924016, -0.8826131623190804, -0.5486572618164451, 0.2197693185612888, 0.6675410192207715, 1.3168582720490196, 1.9061581995867078, 2.3535515844654196, 2.797766717998442, 3.3020891333836815, 3.3024680478602266, 3.5716833976794273, 3.695865407783531, 3.5590058783134504, 3.3026168212751568, 3.0268279391210178, 2.5605969876578625, 2.0502500414408975, 1.6956101077854548, 1.0222151019417263, 0.4065242006929402, -0.13748663737172276, -0.7384957341760822, -0.8178325176063066, -1.3618717152779234, -1.4100872480751607, -1.553669356335517, -1.5671919378593535, -1.4496058647953918, -1.258754702129636, -0.6838928868358024, -0.4007968664718792, 0.3877172570423112, 0.943909543666492, 1.3404487071866265, 1.980814692723209, 2.401266129882968, 3.121597618134669, 3.279580351100473, 3.499560304728797, 3.6275386941910863, 3.724020400698741, 3.529978589159589, 3.3330415133793694, 2.943550053019338, 2.659534615610448, 1.9662174412697544, 1.3576897272748483, 0.7957435484759429, 0.3573666378044799, -0.3521835231147472, -0.6011191061392961, -1.1637944105806606, -1.1835098072165102, -1.4273666374553788, -1.4836577331460508, -1.4589740523692993, -1.2800668170168434, -0.8508530718090719, -0.6167186381926009, -0.07596921941861132, 0.4967030805464181, 1.111154383986226, 1.5949794027416804, 2.257213495848235, 2.705388878074715, 3.191788754376942, 3.445429926097967, 3.8852251113531415, 3.7085050282048004, 3.7907442366414053, 3.649784864349876, 3.4459603732518476, 2.9961513854238695, 2.712528859852204, 2.0856806841266193, 1.49479429135281, 0.7483777854498316, 0.37329940178452503, -0.22457533615757408, -0.6030819531982721, -1.120362789456154, -1.1663035254299197, -1.4848887810256473, -1.3819449484223256, -1.4461714624652764, -0.9350241748090143, -0.9950353064587445, -0.5404549636163964, -0.007401858701966149, 0.5720329265731663, 1.2106108883811486, 1.9495827626957136, 2.28451044117053, 2.780177991342747, 3.3028576765886504, 3.4336216094065963, 3.724759495999072, 3.6607654120774837, 3.6844931142681085, 3.413087676715575, 3.4663774717435416, 2.989857971903771, 2.416948588578758, 1.748779117675426, 1.4249437124760382, 0.9502073270683099, 0.2780777788079286, -0.36097396829790707, -0.7795061817697376, -1.0476584167300798, -1.2426580563971061, -1.4593231040543135, -1.4514608470717638, -1.2963318619782456, -0.8677666840159947, -0.7389313258310415, -0.04354467015090224, 0.1872495628129602, 0.7788239931857801, 1.508274497710744, 1.97228059778015, 2.6053102623529965, 2.903061788116423, 3.3443090140944234, 3.615829561229769, 3.957926414746447, 3.92932948061367, 3.712209318581909, 3.5423967884691425, 3.2018803489127245, 2.9442394828903544, 2.424710095980983, 1.874106848374777, 1.4581334986482672, 1.0227387670680252, 0.22652307269962005, -0.3493869625321892, -0.6253403039676078, -0.9108195511742407, -1.1328325679586317, -1.3578454959698283, -1.3988002974712506, -1.1844553414320134, -0.8340400894785309, -0.5782188971762734, -0.12593073304428187, 0.24931745189116664, 1.0484911879012444, 1.5496528231394813, 1.9935641600607574, 2.5720609725806893, 3.17961474167094, 3.4077187180627724, 3.6143536403699783, 3.837528345792955, 3.873158209325654, 3.8693263299889757, 3.5879966262278633, 3.181676970727017, 2.9845302825117628, 2.5242290493507813, 1.8275949655485837, 1.2459819281245346, 0.7641835953452967, 0.3159731216781637, -0.3850638310857063, -0.5375673825564471, -1.117932432137588, -1.1568012105019627, -1.1026787997843752, -1.4258736633907714, -1.1247577337679118, -0.614834777886626, -0.5017109886188273, -0.12263776159526196, 0.8812579468803597, 1.1228806845859731, 1.9135783165289955, 2.3884446715836805, 2.6969053338109275, 3.1299488697025915, 3.667582471811673, 3.9875468269545022, 3.9769959357535054, 3.830216082200622, 3.9595308499735338, 3.5261430803312295, 3.361413591166353, 2.835249319744009, 2.3508725919629105, 1.9368279362219014, 1.319645587667835, 0.6500819225725258, -0.06020411350966745, -0.37071642845912084, -0.7490984063135683, -1.0477317966405726, -1.1223984233011355, -1.4219997538645386, -1.181908880293014, -1.1168527254450729, -0.5847024819391461, -0.21177515002790348, 0.16449821271255322, 0.7691490697268122, 1.2038065087325194, 1.7663612750562985, 2.381098957637673, 3.0305534667940766, 3.3952772158011215, 3.5220264148294267, 3.950511211555404, 4.11861231902899, 4.03551578665348, 3.8336143563049068, 3.5627601116506935, 3.110876529261959, 2.836636272165425, 2.4015206636067674, 1.8344857972272794, 1.188874629111046, 0.6020288643305546, -0.04121636504073092, -0.5040280653126269, -0.6363355727816618, -1.0769234386104491, -1.1909704684792475, -1.236757381412293, -1.0070675452782385, -0.9324304803072707, -0.5327262193709547, -0.23285324960673065, 0.2986358955834016, 0.8803016916557579, 1.5780321764902776, 2.062902103628049, 2.5862662588289362, 3.104665221950598, 3.5390788862294955, 3.83017038041471, 3.99401668264325, 4.113231467035001, 3.994390254687414, 3.96989010951611, 3.767056140362486, 3.1931093930391152, 2.745530170933878, 2.1228168380029033, 1.616140126333656, 1.1212122210345512, 0.34779445701537504, 0.14209360516731856, -0.26908673318503007, -0.7276174254313007, -1.1920996910620871, -1.215939011515185, -1.1053859309267995, -0.8032334414999356, -0.8429903902760586, -0.48556151245133805, 0.05387799614132318, 0.6269836881638362, 1.0136942038145806, 1.8175091423456602, 2.188460835928583, 2.7648849703087715, 3.2821379448543615, 3.6873948867357345, 3.8489382525854787, 4.264737107576054, 4.060125936849328, 3.9933001056876654, 3.857158347361035, 3.5746264844307176, 3.2563997091205894, 2.5637749843529996, 2.2448867715774083, 1.5831667149865747, 0.993324822462561, 0.5596740329019129, -0.003263649454621237, -0.23957829819180987, -0.6567332282136926, -0.8382503102578549, -1.2189227544885588, -0.9474323709119492, -0.9587480684576875, -0.5521243264590193, -0.3644591599309305, 0.022565256719660087, 0.6411842941769448, 1.216126263956647, 1.67820117586732, 2.421392247026797, 2.8844717543077287, 3.3533472942793514, 3.712657352362491, 3.8757521044931673, 4.0502886726009395, 4.140590995646074, 4.195514001462244, 3.805604136405248, 3.572381768274356, 3.1044021389742937, 2.736331574544076, 2.3356097778987968, 1.481072022651553, 1.1543982238213273, 0.5713820172713743, -0.10068755722162483, -0.209140219516363, -0.8511181541776875, -1.271889824104409, -0.826678645740861, -0.970685508628109, -0.8270610442526707, -0.4136627211482, -0.13017063835967807, 0.36541555028892686, 0.8719762843691526, 1.3249751695576653, 1.9137725391151206, 2.5199830961362997, 3.266020984099991, 3.5779464078491037, 3.678481503553649, 4.087862119743391, 4.448913893438664, 4.219827432529469, 4.171297954367558, 3.8168250666679935, 3.484215905665271, 3.256939449156778, 2.5802920419679767, 2.0674007843050144, 1.4829610637736894, 1.0497716624476343, 0.40696477081293825, -0.34745358032639195, -0.38129633543086205, -0.6999729410577515, -1.0395583869370357, -0.8315564758746053, -0.9295110555062454, -0.7730285116742154, -0.28268589005797445, -0.06706272672007255, 0.5004240015034037, 1.0970639677321061, 1.3816491776192923, 2.3408011588431923, 2.7365467484895514, 3.2939298852826417, 3.6113088369380817, 3.896476158744347, 4.092954532946157, 4.2948769669946625, 4.211615416839957, 4.038432325735435, 3.998288955097111, 3.663518226351898, 2.986055679257447, 2.649235327483992, 2.1145396652133805, 1.6713206777406302, 1.0491771228143434, 0.22934214638267195, 0.006629829173976129, -0.3937844598623979, -0.7862303317536027, -0.8889604557865227, -0.9316008532017168, -0.8857286915312219, -0.7428997427403952, -0.201949905993148, 0.3367628530444591, 0.5621420758434835, 1.046646349757329, 1.6396219432984012, 2.4438794777217647, 2.7688369443816403, 3.3782909962300653, 3.843048813904968, 4.068933307080946, 4.302955312264059, 4.31946647070953, 4.252701155500162, 4.160222115399574, 3.998641759272712, 3.515267936382188, 3.0267565074772262, 2.6212846118943807, 2.058495811221193, 1.5147703802094619, 0.9823727063857983, 0.3382994115445444, 0.1289322866202896, -0.7050168172273228, -0.5911851460443369, -0.9381260983110078, -0.8249079829237593, -0.6949998221043747, -0.4244927326594825, -0.12019406366053402, 0.20144576827031635, 0.8767850593229797, 1.0705751742153105, 1.9619001358327288, 2.5423215198440836, 2.9639817864251645, 3.3440579016250043, 3.745909364926657, 3.99962533180057, 4.6072198019026045, 4.225875167134866, 4.557593968135609, 4.04356085675831, 3.8764765081306787, 3.4729338264017313, 3.011201788541749, 2.412073663709148, 1.8847687760891445, 1.463334301921545, 0.8098652401626806, 0.2169206656131905, -0.27068910571080174, -0.5817982044800134, -0.7990597100830548, -0.6798530712999485, -0.7382288370893061, -0.45903798887179637, -0.5725251077820197, -0.09119283602488847, 0.48750664782827985, 1.109760210745269, 1.4180311383175324, 2.143748335894788, 2.6812942915775086, 3.2017708416085098, 3.5877992859730115, 4.119824884841651, 4.179227937729715, 4.3776896733916315, 4.398841728948943, 4.312471098164864, 4.2113848108081715, 3.8953529099035924, 3.470310590229401, 3.0400525965329765, 2.5416411218999464, 1.8831424747127865, 1.2938840964197555, 0.702822744447096, 0.08851286945174858, -0.16572660836682918, -0.3749888579915777, -0.7331270033327478, -0.7651478987460757, -0.7042241068843089, -0.44153041883830946, -0.2849381622358005, 0.19513444055807583, 0.6207952590400364, 1.1721183220480924, 1.6690343916217358, 2.270380247857611, 2.96314417401241, 3.383612625161164, 3.7379197929829093, 4.152177554240567, 4.287504018428479, 4.548675610187138, 4.420838210141595, 4.4509723777108645, 4.193173667721165, 3.8941497237408105, 3.5080781439199913, 3.0098122246071184, 2.2489818347036583, 1.8090639077065855, 1.257133478312733, 0.6402559539888671, 0.17646302576480344, -0.21717234958917941, -0.36558797678617977, -0.5961889288795792, -0.6550366429521729, -0.5968461463438508, -0.29482933343637, -0.15694142915954298, 0.20869688344414705, 0.5758881828472288, 1.3946577899353316, 1.7932471205505458, 2.6658360322850063, 2.8417938511270187, 3.4367715335612092, 3.9395173866018274, 4.276797999380925, 4.679434107111234, 4.622997735695106, 4.65782280015256, 4.481243277036422, 4.237003885620402, 3.832627244836095, 3.4379634338458254, 2.829551850836127, 2.5663882580974917, 1.6342437727474104 ]
Does the given time series exhibit any monotonic increasing trend?
[ "Yes", "No" ]
No
binary
null
null
3
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
Check if the time series values increase over time.
Pattern Recognition
Trend Recognition
418
[ 8.829140348254533, 8.95427048158494, 8.755251993154191, 8.681453203705559, 8.757271080889351, 8.840959631205997, 8.888849757392116, 8.761851138812789, 9.153050618639742, 8.843618410084403, 8.840936658212687, 8.713695105155734, 8.700174477662268, 8.670134651271844, 8.94860061712261, 8.934567651885109, 8.827409853749131, 8.720291294347913, 8.803039456412707, 8.953016078663152, 8.783033618119157, 8.747909912420141, 8.793905142232466, 8.801685670604178, 8.892692975449496, 8.63269390725459, 8.842485674187975, 8.766026540022033, 8.78026290993897, 8.894138301853232, 8.712620508915707, 8.843421499256467, 8.870022768224784, 8.878703142021592, 8.889937016986472, 8.878023215171416, 8.891031549646994, 8.74978492127132, 8.948093447038778, 8.722970271869777, 8.860230383301861, 8.76743211953319, 8.675897421073941, 8.777211418250511, 8.81708185861625, 8.949967987955043, 8.988170371667497, 8.816093999480406, 8.704921034344348, 8.712239775067738, 8.89567513998858, 8.890050933899568, 8.773922474669064, 8.72388266478302, 8.915131512083358, 8.719136869656856, 8.788316254608294, 8.8693358075137, 8.650907392003074, 8.911695262748857, 9.037658326886055, 8.837591661581214, 8.824479110083013, 8.83145092705826, 8.84738674787557, 8.763099403017213, 8.728287188851565, 8.79636723755572, 8.841097350430932, 8.739403020645947, 8.708665693099086, 8.78865982797499, 8.709830684552353, 8.886841213632547, 8.52373136377614, 8.724420615447224, 8.952317964311183, 8.807965797982341, 8.843774513780868, 8.81615764613939, 8.772161318823194, 8.924216670401812, 8.777056780563974, 8.75440355726308, 8.88551399621138, 8.657109021198387, 8.802342212450814, 8.78172694835746, 8.800688714978687, 8.784425819213377, 8.86064908069681, 8.924613302321019, 8.868086224421683, 8.79779690453717, 8.883278108534975, 8.893620264394478, 8.859399202931922, 8.920108051245753, 8.620320837826295, 8.829900719863552, 8.854713962433742, 8.696781435923336, 8.847026745840717, 8.908305700277698, 8.807775453541886, 8.885494346443833, 8.917822022037456, 8.94604458319031, 8.930127658868734, 8.948087539806854, 8.783440333518838, 8.793099000504778, 8.609193704246843, 8.73350996581477, 8.935097137256818, 8.774144143930807, 8.862635347484302, 8.848788315583842, 8.937060126171266, 8.649188068137596, 8.858666638371888, 8.857231042152902, 8.751815683891849, 8.912304232867157, 8.704037708865851, 8.921510389775127, 8.637244101091229, 8.747655902172891, 8.815189421046764, 8.846752083705997, 8.66263227815993, 8.919601306520235, 8.894058880645947, 8.99555376955059, 8.8895172512857, 8.7625312083432, 8.732968766709666, 8.790410204585136, 9.020050361480076, 8.831740623030896, 8.835505279177058, 8.949310520178607, 8.724738856856133, 8.875115006517353, 8.873118457468571, 8.912049176394689, 8.902774611359032, 8.822357098583563, 8.705443268800312, 8.777673081214589, 8.901874424716521, 8.991233797115594, 8.719583227820195, 8.71377124202259, 8.688601158307197, 8.759826459216656, 8.911184406976238, 8.943725359257083, 8.64404385156423, 8.721150842703633, 8.704638624421456, 8.750943627711544, 8.807910255593145, 8.792455948965884, 8.87289567011329, 8.657462702175367, 8.781588885901767, 8.948157648401972, 8.951521897220648, 8.974494145991647, 8.86225270529453, 8.769710275737586, 8.842974122335049, 9.050673393814805, 8.780702292890306, 8.98933243943759, 8.612429491467122, 8.878030308104732, 8.884675660456082, 8.860516533289212, 8.866296653030576, 8.873725129263127, 8.877854070125743, 8.798341919508514, 8.80361272395421, 8.707411547157395, 8.892198831539398, 8.942496979740527, 8.981524298933483, 8.755056931914442, 8.675344290491362, 8.860757064262563, 8.725524746403527, 8.878011143616703, 8.632860427151893, 8.923511911733405, 8.841068963482375, 8.657931196300577, 8.85438109384012, 8.835920844078094, 8.873696679652376, 8.898336138666926, 8.614237210786921, 8.78594205580941, 8.81967892309482, 8.801463964696227, 8.796550907572541, 8.920620077821898, 8.6747099992763, 8.801807246711224, 8.808801066003728, 8.817878631556354, 8.741265317941485, 9.016601560485464, 8.913923364977204, 9.022762212979277, 8.884058269424589, 8.894828721345933, 8.827151264741175, 8.965519840550588, 8.87746028130383, 8.810708482947277, 8.99054489810907, 8.712531361416243, 8.762910174985596, 9.0756464500747, 8.886744685708782, 8.595096377482754, 8.917484694363651, 8.737223221980122, 8.776840272982305, 9.05272328552688, 8.973679407653176, 9.003922139215314, 8.773928543014303, 8.8018405384617, 8.846840873566977, 8.904196178617122, 8.797349315928455, 8.99335219232638, 8.87089768954697, 8.959150594506868, 8.758684198447439, 8.790561416970931, 8.849225063980073, 8.7870094382316, 8.920026352782159, 8.921785090797727, 8.80643469806775, 8.885620739016153, 9.007783529565526, 8.919750319935165, 8.885093759273023, 8.941882662878587, 8.975913122824982, 8.96153254413486, 8.821184143805057, 8.907187634435445, 8.801226681781133, 8.822732009597345, 8.869843318959092, 8.69967594411108, 8.860080196071008, 8.76650083172887, 8.722833745993015, 8.89770942397964, 8.80451708245534, 8.84695751586093, 8.806672004864415, 8.773103589364482, 8.837916657690052, 8.707285099660593, 8.819042544783748, 9.00238805984997, 8.721653832459735, 8.953432749571311, 9.01175095334988, 8.758197048129565, 8.856457888018612, 8.71280397734358, 8.69959435554317, 8.842295079013718, 8.863658617245525, 8.777493438802162, 8.72769917055324, 8.758336593490416, 8.906199681925399, 8.906802687815178, 8.884255814522106, 8.79349872522837, 8.732592464033353, 8.943422529564735, 8.972412804665215, 8.781201655573124, 8.813511069892053, 8.698033606476754, 8.874671609609589, 9.010778901650015, 8.910837452260042, 9.022803065906624, 8.793076777416122, 8.712107884469942, 8.96033144427547, 8.842704189304763, 8.748703108790362, 8.99281791769979, 8.774037094868648, 8.72868820477067, 8.880645476917916, 8.712625771260003, 8.917786478866878, 8.725817274295666, 8.849738461042879, 8.855493100026795, 8.850923849565463, 8.713866420654988, 8.810365747789003, 8.948792095907327, 8.809704979688401, 8.725943681873192, 8.788249261689229, 8.716461477229611, 8.634944838972308, 8.811962693287057, 8.836366547375288, 8.889232416230115, 8.868794929783972, 8.881796317154059, 8.823912565784456, 9.01534389134971, 8.75325427256007, 8.799544963387358, 8.973954813860447, 8.793118523402525, 8.817808610336243, 8.863217635648205, 8.930596163579137, 8.840073460652459, 8.749525243561143, 8.791338393363267, 8.875207327017273, 8.801487133846772, 8.786286910765474, 8.745265447169526, 8.93289318834669, 8.816805780780136, 8.817365484578094, 8.88755560241282, 8.707275231647984, 8.831244511926288, 8.960420931087338, 8.821903156932756, 8.846915907073138, 8.844943413799667, 8.921228661061953, 8.84530128987671, 9.045453354045344, 8.847954089074499, 8.789071839927749, 8.961005764740975, 8.808939683419174, 8.774608036215982, 8.722629218006283, 8.869800724858187, 8.787155598567068, 8.758916829002336, 8.777590713673098, 8.795465830552862, 8.901046291656078, 8.870222395873457, 8.81477873945488, 8.877046376252027, 8.818150823903341, 8.845772828843952, 8.768663679297875, 8.76947901262826, 8.840898346618523, 8.841096320829212, 8.916800455026662, 8.871616152935456, 8.78411130207653, 8.714539159080143, 8.90544912374387, 8.856816475196236, 8.913096594162058, 8.868035542982208, 8.986871836558558, 8.808437069841483, 8.831193413039925, 8.897317187342855, 8.903721131147899, 8.856412602487898, 8.687083627188601, 8.671470245321592, 8.79346825573555, 8.829463814354972, 8.662640993292417, 8.824906662894533, 8.88502187336864, 8.822312204485664, 8.853590491305065, 8.879427901817321, 8.686185528791635, 8.885144991217638, 8.762785111803039, 8.806519163226856, 8.76917994768515, 8.922335814807262, 8.724042299078365, 8.949476862061028, 9.038677585277652, 8.69061236723339, 8.775803998525014, 8.881602138638083, 8.73984091932386, 8.803538228136002, 8.84306371473373, 8.764613535914282, 8.834775175252652, 8.911288138386647, 8.820624786273717, 8.735850468560095, 8.930368893211194, 8.950155647422015, 8.86007459573406, 8.74086998884842, 8.750056373997351, 8.618463630688868, 8.775267804085797, 8.921602513720256, 8.767160518764925, 8.74315276630638, 8.917833593871602, 8.929167735408646, 8.78021089978484, 8.872509884068307, 8.75093693848782, 8.797292099552461, 8.6668671518945, 8.85932623653976, 8.818453351427577, 8.768223441994662, 8.819414096197033, 8.808554377297137, 8.754512621583917, 8.862720303500337, 8.801236504875519, 8.815684440760641, 8.698597644158856, 8.81644914279733, 8.811707661339602, 8.754656685106678, 8.874460308930479, 8.641470482507001, 8.78497183708447, 8.854899427571738, 9.012784774154227, 8.706982784040594, 8.83536170548683, 8.87590441016638, 8.833130144896753, 8.718752482539685, 8.784841699512933, 8.61200062355887, 8.82787934932898, 8.702549611888115, 8.867761725549638, 8.769856973136118, 8.761550926742931, 8.842240369875807, 8.85051232972541, 8.904451036014871, 8.804466259721474, 8.81820018336313, 8.705159796282413, 8.955396093133112, 8.745049995258059, 8.891523141519366, 8.892172194536604, 8.86283964159831, 8.806582356796978, 8.795517444383853, 8.821881721144404, 8.65947159726262, 8.825234180090778, 8.958693312468686, 8.807600956269434, 8.824647931769588, 8.737133716627033, 8.843929700361779, 8.758862558271115, 8.902559488796596, 8.928289269512527, 8.947556992341834, 8.70010878874272, 8.8913356269833, 8.884651366234042, 8.790897566443736, 8.932822145421747, 8.864123412418525, 8.94875040631648, 8.715638427472495, 8.764504576864653, 8.835811564203656, 8.931048958319911, 8.867685677607856, 8.74382318599143, 8.984345376515105, 8.801522694079708, 8.746648304956699, 8.759116064845994, 8.709934040960325, 8.629156544629057, 8.817245753721407, 8.690304867551868, 8.855227217917276, 8.914426008248691, 8.86078436052097, 8.831421112690013, 8.691518450894163, 8.902223410891771, 8.999371753841837, 8.951853571338665, 8.710084572800087, 8.820655481241662, 8.802579982732956, 8.792401249505998, 8.829928406597865, 9.018661539720028, 8.837015090553752, 8.788313522442587, 8.853835615570606, 8.711605399954733, 8.764326209511754, 8.914598094331398, 8.844164249595531, 9.01306910633801, 8.851167675755194, 8.717562444709035, 8.687616357211013, 8.915958713331161, 8.73559691924867, 8.727687725906005, 8.782077627452335, 8.915483143145453, 8.795077111567183, 8.753244499914985, 8.934581431879327, 8.919516606138409, 8.974698981565478, 8.946827301125268, 8.921014298789357, 8.76122193346734, 8.885714085437373, 8.934760473840386, 8.991359379056322, 8.842644173905345, 8.784110161818576, 8.749491023291046, 8.91399766980428, 8.768682171990582, 8.837005029879997, 8.749832297907792, 8.813509212523238, 8.866289718479548, 8.851306279355374, 8.892680803320314, 8.706239543990455, 8.817250168915745, 8.786030958900573, 8.740820587422705, 8.76137446882403, 8.748612666669755, 8.858428360621321, 8.86286049621435, 8.904834143920382, 8.85649795730806, 8.841556559971696, 8.834502227689159, 8.887182038336737, 8.641554590754335, 8.822318266470381, 8.855539230742778, 8.985518413740687, 8.729413339331051, 8.72629860816476, 8.627067757605008, 8.704766395047901, 8.814181613990709, 8.7636237847403, 8.761739239257993, 8.829562146203703, 8.878941370647487, 8.828641967451109, 8.829894894684482, 8.863166839408578, 8.665754990033026, 8.838925128771885, 8.82092337692601, 8.826911316466937, 8.775979987331016, 8.809399895647553, 8.863081848388115, 8.969577388489638, 8.678231678959364, 8.878012523120523, 8.935045448038633, 8.715378958124141, 8.811700371284095, 8.85188227156239, 9.004878600790981, 9.019389410324393, 8.715366266533657, 8.800858404739794, 8.845148226334052, 8.876659315601879, 8.845263594784674, 8.743842960829374, 8.7399415250449, 8.691483526056087, 8.649169330607382, 8.689470797114296, 8.930071875595567, 8.890238190996737, 8.876378922746436, 8.807877823925592, 8.823874072061162, 8.803818715114621, 8.687450767673042, 8.884712874191004, 8.902808642050767, 8.725992225370598, 8.72591126324086, 8.858590466150382, 8.857812015214469, 8.892215327027104, 8.95232178039667, 8.734150620163794, 8.820299976097015, 8.739216851371285, 8.745575162830374, 8.789597638218051, 8.954686052041167, 8.925066332715927, 8.82093301423279, 8.637207378662309, 8.862210727002449, 8.86017103269218, 8.745124751359063, 8.900868123034256, 8.743427183991642, 8.90060705691751, 8.848818222557092, 8.698672364398208, 8.795628603978699, 8.840307239134473, 8.854034642137835, 8.918742188073045, 8.929741017054964, 8.806473387610799, 8.876912433963017, 8.96947923933926, 8.737615103743863, 8.773870163730844, 8.681430413074528, 8.771798161857058, 8.845703517245425, 8.640734467244123, 8.86611839584191, 8.785841703630435, 8.822005532206244, 8.724355463241963, 8.818510972537457, 8.975770072362284, 8.792245217519406, 8.632190227856388, 8.934684292589903, 8.875422872706235, 8.835839745648267, 8.877683102886104, 8.834822229033149, 8.972598035583657, 8.893921127224953, 8.787247015379215, 8.959240973107226, 8.988197939466321, 8.907900806982784, 8.863459946890922, 8.752142354836257, 8.888064892744927, 8.861791242858603, 8.825172056222796, 8.889266243474758, 8.835223121211325, 8.875982114445645, 8.918976262833619, 8.71003520866036, 8.737084471651277, 8.74701135261395, 8.998793151863472, 8.883458305737955, 8.891680670294448, 8.927239656442623, 8.735144265001752, 8.647608103479032, 8.821988901094151, 8.906771589062659, 8.8100954886113, 8.706606256921114, 8.747628750950021, 8.723438633392902, 8.77348137860384, 8.72519333166072, 8.84049505570514, 8.779200125258198, 8.883454553517256, 8.741339119956548, 8.850078926217508, 8.824219002921861, 8.862497688329892, 8.874916678683693, 8.884356056934864, 8.900873488093508, 8.875409029137199, 8.85383231755737, 8.76868279535761, 8.902637219402578, 8.766020364066632, 8.801769322797515, 8.751475316951572, 8.749636703889283, 8.799554657056058, 8.806967359312564, 8.7557211474441, 8.829476898090004, 8.841376192812122, 8.779438691455715, 9.02965684938923, 8.856907149535079, 8.837977961486104, 8.767867814054837, 8.839706125398852, 8.848795026949977, 8.827231386597331, 8.952770040310071, 8.67734004324503, 8.793959954447748, 8.8905521736278, 8.748384845753423, 8.69100496370282, 8.781732881595161, 8.919691945460066, 8.750477212414676, 8.79607437993732, 8.864744572409792, 8.776399897799635, 8.78870122665715, 8.769978099342438, 8.77741714161976, 8.724879506275347, 8.804826271275562, 8.921483727710582, 8.96726117365935, 8.937866002955655, 8.83969321644789, 8.973973702090786, 9.030823875907789, 8.843540449196219, 8.740095637292614, 8.94334978338548, 8.72129995640553, 8.749281185843008, 8.643701588838264, 8.891750773169859, 8.623141352842525, 8.915182389811168, 8.987267292466834, 8.980058170144593, 8.715797251042346, 8.663019576862926, 8.77082245593352, 8.905149107534243, 8.933802984558858, 8.886197027515703, 8.874147950352427, 9.035956692401886, 8.785338551223676, 8.7588620225616, 8.722567108101575, 8.865758313712126, 8.811688141692244, 8.900363423546082, 8.787765660776719, 8.883044061759986, 8.793653029385514, 8.81317525066823, 8.821536219516574, 8.67744331277401, 8.815180869214021, 8.877161454227926, 8.740312156712697, 8.996154890629125, 8.827969373100656, 8.772206881532583, 8.76951873323147, 8.948520512279778, 8.754727948838193, 8.853852723486604, 8.905488436800397, 8.876461687797393, 8.77786752973526, 8.901620701252277, 8.84128930842464, 8.67570955459862, 8.935522319665232, 8.773373560328181, 8.812036594135781, 8.854856256427176, 8.780585119309992, 8.894354399867456, 8.730096148483188, 8.776834424278755, 8.935739264893185, 8.829769420421222, 8.734247408187121, 8.834487845799943, 8.862994221731043, 8.687531628656048, 8.97357065501448, 8.985498363547476, 8.838131193757139, 8.809875797761451, 8.829563480566494, 8.906372498268212, 8.867492345164095, 8.848656042968951, 8.949563796723593, 8.927372135062136, 8.742801336353825, 8.905873287464583, 8.929197830091402, 8.852101563324048, 8.880417985496809, 8.800398868771214, 8.72121742776035, 8.994138316260232, 8.709296566170401, 8.975951839743976, 8.821778197192485, 8.937656290738678, 8.82956100006578, 8.91028837601242, 8.867160880313003, 8.768448607454065, 8.839377540176201, 8.814920846227396, 8.88429742719345, 8.840032687631481, 8.852798690361244, 8.736978883213178, 8.71471050401318, 8.833772780934591, 8.843564664201336, 8.734710579723712, 8.877992456430677, 8.881831378922977, 8.841320829649863, 8.82892741157894, 8.715649309513521, 8.714169240866811, 8.86238116512397, 8.754444186888149, 8.760646256194777, 8.852148123255187, 9.007412632670812, 8.792453818476718, 9.008562523296273, 8.82080652886187, 8.87731243886536, 8.912257393541, 8.918683955614279, 8.857469148722217, 8.807262488215294, 8.900636010871818, 8.864967499673927, 8.789061864210632, 8.951925847581352, 8.867915121403074, 8.761403062130988, 8.751077622799935, 9.000462193453929, 8.784052302767957, 8.89400459371154, 8.860805002665604, 8.891003630163613, 8.996304155172902, 8.91557653932843, 8.90131606138882, 8.81015906590618, 8.768872628923942, 9.041117336951253, 8.823844976880157, 8.81812006579403, 8.853031381730458, 8.84443885530479, 8.968141009351422, 8.875172081317347, 8.711904014263027, 8.769308281990291, 8.828483459656104, 8.918076940855237, 8.693321558244328, 8.871135765505864, 8.8920949968273, 8.905429314586273, 8.82046826227047, 8.92016013173291, 8.755592548690501, 8.91100177784317, 8.822096264794684, 8.831323825062857, 8.830342787803605, 8.884927815573205, 8.73001088922232, 8.905687439848872, 8.904413765005389, 8.800924534089996, 8.827755916312725, 8.751670184331173, 8.725105515312265, 8.844964952802668, 8.845535007463692, 8.79778373693943, 8.717213361249849, 8.867884998212453, 8.795643821227573, 8.761389680553162, 8.940171464417569, 8.741455925625354, 8.877141573427885, 8.695165763642713, 8.700755585452821, 8.87014670274991, 8.797865483793052, 8.724357598493919, 8.911393993250142, 8.860316048177038, 8.639697941722162, 8.912229619267588, 8.733623267462942, 8.676773130254857, 8.7551027527349, 8.823847973119832, 8.834368507246849, 8.683219731105654, 8.70279599689163, 8.760368834956546, 8.766008591535043, 8.894786164638328, 8.791051962100932, 8.893094027983967, 8.924272437172984, 8.876590107712172, 8.556169852076323, 8.800700875252716, 8.812857376139867, 8.822733802917199, 8.643732931427959, 8.76008814093974, 8.707285455999235, 8.74574541591169, 8.80470221670167, 8.762077243943262, 8.752238073582799, 8.810062254591026, 8.784088252266896, 8.845165785192643, 8.790475117297248, 8.689156799936498, 8.7365188981049, 8.79857928439505, 8.787992877441996, 8.702762396804513, 8.887263476705643, 8.855099726839892, 8.774502892967366, 8.81308821800851, 8.732918039199713, 8.902842973296847, 9.010173697572071, 8.770636925106459, 8.935581176659129, 8.75155132286238, 8.780578982223949, 8.954097633659384, 8.816959245840664, 8.888181829026372, 8.803751318117815, 8.668400908193515, 9.033873999519958, 8.808402350423023, 8.84131941815544, 8.762873919028443, 8.896404498653705, 8.889912257950353, 8.690070833193783, 8.8426419636877, 8.904964507479043, 8.933507104020876, 8.88460361210877, 8.892362002124356, 8.779861104858947, 8.71904422299734, 8.800095578062773, 8.717038016253042, 8.76229983190112, 8.760980449576037, 8.744497032511678, 8.874525854275518, 8.73813919761021, 8.989574644645353, 8.91485567894568, 8.932541094865316, 8.766702551501785 ]
Which of the following best describe the cycle pattern in the given time series?
[ "Amplitude increase over time", "Amplitude decrease over time", "Amplitude remain the same over time" ]
Amplitude decrease over time
multiple-choice
null
null
28
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Amplitude" ]
Check the distance between the peak and the baseline, and see how it changes over time.
Pattern Recognition
Cycle Recognition
419
[ 0.09624988426638675, 1.5417105035822596, 3.5353965083092476, 4.831886685289802, 6.057643451032996, 7.066315714856914, 7.691066229360131, 8.002470689902633, 7.767250659520245, 7.37371060392981, 6.506472301776123, 5.465601176506853, 4.017375584446661, 2.4734895357196196, 0.7788951582528166, -0.9769262096929545, -2.557394356858359, -4.300071002924955, -5.513435770534146, -6.642907572055691, -7.339294997770877, -7.947282796537146, -7.99775250326311, -7.628347524211715, -7.047568827313998, -6.116471726785974, -4.681261422694607, -2.882389345074159, -1.5691236151304988, 0.1941829030061099, 1.8194258987357754, 3.45529804623074, 5.029156529559078, 6.103240039241092, 7.175826982797468, 7.90793936584772, 7.919909121726433, 7.788007569537267, 7.400704657641321, 6.336983384043075, 5.353078645876291, 4.182988256580304, 2.473623782079739, 0.5903273930040926, -0.8966280100147712, -2.7485210491530383, -4.342637104654706, -5.692420947569754, -6.781347213878965, -7.323240068544441, -7.982978055711135, -7.921516392625279, -7.657037501106091, -6.951614857691529, -6.196727757299784, -4.593248857186431, -3.023307841049603, -1.6220859937225465, 0.2992545495918845, 1.9741020102394176, 3.5761993175891087, 4.9949878315471326, 6.352628504737958, 7.196025321133566, 7.767812644694299, 8.189775775304426, 7.7727017590890615, 7.198120083141849, 6.369883832561298, 5.296605816040369, 3.847924210584178, 2.111874953812875, 0.5871946610174846, -1.180695378601392, -2.948222376126132, -4.340190991768526, -5.545240505534698, -6.71234545893857, -7.5432989711925496, -7.764105686065066, -7.888543197403351, -7.520372006917711, -6.855570038510992, -5.727384197406913, -4.540218007231516, -3.166725488742376, -1.2948433283804976, 0.2635124889927422, 2.016399355224794, 3.7133197519055203, 5.077637846692762, 6.256005615446758, 7.390856043658612, 7.675843090175121, 7.954230855621687, 7.674059695161158, 7.0929358407317675, 6.194945135674319, 4.995634956479719, 3.8649118773029603, 2.005400186676657, 0.5855716513375265, -1.3682352677505967, -3.0055294296170985, -4.323255365072735, -5.828868364871278, -6.8585920206113276, -7.411975900519533, -7.864020716753736, -7.728459994947947, -7.46747495300587, -6.79946973802404, -5.737185581743771, -4.27508041646453, -2.8596729570386143, -1.1876031291124007, 0.47252596551476234, 2.260461159606777, 3.8556014555409837, 5.455300581462846, 6.375075796555884, 7.349190657709918, 7.972366882552248, 7.954281287083882, 7.825815924969093, 7.061316197576893, 6.22961945224324, 4.905752758992066, 3.529139849765202, 2.046788846309897, 0.2221050211843362, -1.6145909665718643, -3.346899504948116, -4.608209359775349, -5.858198044225831, -7.224956627982117, -7.505648852199234, -7.831137198979613, -7.965512508310334, -7.468252082381527, -6.773739141329689, -5.6551426151631095, -4.076609481208601, -2.6176175087070694, -1.0690753957244903, 0.7473815953319356, 2.359672487959404, 3.8874989776232365, 5.1973722157438615, 6.6150771499089815, 7.317189279389925, 7.9876089177589655, 8.038800248686085, 7.759026433217997, 7.151834064743398, 5.871223913489737, 4.84810016677011, 3.5393547302319646, 1.6355096904487654, 0.12119745028188406, -1.795726872138277, -3.5722904602946026, -4.879379007730633, -6.006758951501181, -7.250939476966732, -7.5856234079420295, -7.959865371311012, -7.90523307797938, -7.544641531811641, -6.653698979654468, -5.396671100053717, -3.9922555144903855, -2.5296762898958254, -0.7544043499990785, 0.8931355563287509, 2.629183361322589, 4.100921762256443, 5.460406843936796, 6.729120754200121, 7.190165551350367, 7.768613588809165, 7.726538047122855, 7.826610305510963, 7.155358769921877, 6.130739805666884, 4.85046575516188, 3.240009887985314, 1.687136594148541, -0.04539354858156016, -1.8355458995504337, -3.3933734989081623, -4.8145793878248755, -6.124681351526991, -7.2333807389214035, -7.5452208626744985, -7.9102679370656235, -7.811825310290946, -7.536385996753615, -6.453602018319564, -5.111476664110104, -4.090772144546662, -2.2403292499125573, -0.6446352757968242, 0.961989458057386, 2.543631260705642, 4.2419528274861475, 5.744472491411607, 6.5435780832739505, 7.589784384139113, 8.03572493175093, 7.680053575589527, 7.669864746441404, 6.986491180393917, 5.881647174124852, 4.539001958504783, 3.325188872634186, 1.4623674999476435, -0.21118164482401483, -1.9929750552327667, -3.5685159836168867, -4.960417730556242, -6.25774659482433, -7.168120945981225, -7.728761623502296, -7.974183617547059, -7.724626516445898, -7.2825148619863, -6.4019543852378105, -5.345808585839131, -3.963323415612588, -2.31935343400294, -0.6056284175806582, 1.2645071568957527, 2.8022677763194, 4.369967678188117, 5.919277259432757, 6.5479021054297135, 7.565643551439307, 7.885748344007328, 7.901812057226237, 7.6708411775273975, 6.79229878437235, 6.083982391400579, 4.61506063838462, 3.0711918820499204, 1.498330133553409, -0.48840791970873343, -2.2103077247336453, -3.5716698506016584, -5.090950404527508, -6.33441726386065, -7.306424834462503, -7.913794452724792, -7.992254004497859, -7.714180454288296, -7.2414175546675885, -7.155965326644251, -6.331797121524206, -5.515661845082144, -4.807289917980145, -3.911671341510755, -3.1175917270674156, -2.7135072359183092, -2.180327872915287, -1.8526350643147793, -1.4100773796415493, -1.3761338232944325, -1.262490382708298, -1.4313849244336125, -1.6121925619606197, -1.9701832831650645, -2.3962995193998684, -2.9608349220084547, -3.331660513212514, -4.320767844864181, -5.218551960306594, -6.042986277829053, -6.9362268009278925, -7.668182016550193, -8.597227324070758, -9.427838250685694, -10.13035141058205, -10.966613828722817, -11.586728952714662, -12.142521811562082, -12.630030012805612, -13.021843059896728, -13.184088300490288, -13.141815534924502, -13.392515859296715, -12.928977307001867, -12.776504548372904, -12.425670344047678, -11.827149625667406, -11.109606545239389, -10.606910181316204, -9.720338673625555, -8.860358022026352, -8.105593587070949, -7.065069658896235, -6.3218456564402015, -5.651320109762679, -4.713460483806346, -3.8867633164361104, -3.2929207404503065, -2.6013728843246757, -2.0354280975265167, -1.8737986493960461, -1.3562657787656893, -1.264296666549317, -1.3608593954732513, -1.2746796569385688, -1.6468281447170066, -1.9932695449470623, -2.36112434632186, -3.0520637752952187, -3.525360443383593, -4.506994822738533, -5.2025353355165445, -5.97084164532827, -6.887705773383986, -7.619171294742662, -8.638792535305653, -9.357573081133346, -10.383646999921716, -11.13232890154535, -11.663765247297365, -12.215071924155074, -12.458187681227901, -12.86886972955098, -13.27411826466082, -13.333954799991, -13.189057276557818, -13.088244431061844, -12.722122025317313, -12.36530049184809, -11.886604002235545, -11.14335800089717, -10.492496632026377, -9.538177305056916, -8.86184292392243, -7.995689984899256, -7.1335689799429405, -6.270594057166445, -5.328765864902905, -4.5530611226885975, -3.8176197328741077, -3.2273408566427935, -2.683516662794959, -1.8892222418834708, -1.68666922417375, -1.3655482658708116, -1.4217006217774943, -1.453507068600072, -1.236481231440214, -1.491162278683626, -1.984359566329437, -2.5341420534220576, -3.072171046952173, -3.771108087061895, -4.43770675540114, -5.230712340727491, -6.152603149537403, -6.998396866592865, -7.890937668797699, -8.492613456895533, -9.755335739418705, -10.24342012309532, -10.96818242220486, -11.607169002705298, -12.376039809566777, -12.63129186042528, -12.954268735677818, -13.231958530351505, -13.355030095185837, -13.28953142271573, -12.972493473431758, -12.724230072056704, -12.144595448178519, -12.019771919076765, -11.154508374552615, -10.414087548957637, -9.537509282143837, -8.628388437976815, -7.990839286273949, -7.0676560670229875, -6.187721095835266, -5.513252229301566, -4.401020149656345, -3.7484895389928004, -3.1553705487856583, -2.394879547408557, -1.944991811210851, -1.7769895088968255, -1.4712745574153794, -1.3478307421189124, -1.3241670949970379, -1.3296524156235012, -1.6002691877058461, -1.9888070778977998, -2.5831784653734884, -3.079895823497746, -3.8504739026078085, -4.582742271267751, -5.348516837677201, -6.2041732523889515, -7.131161261138905, -7.835957144571485, -8.873950233515984, -9.661956314338843, -10.393715496957661, -11.088066244646996, -11.54184381491628, -12.2814486098334, -12.597629482776052, -13.084257998920187, -13.34249862481186, -13.285735820838614, -13.268750411242031, -12.915241089948067, -12.854819190579322, -12.14998364767977, -11.652439218086162, -10.942580567545896, -10.387338980145906, -9.732964854999928, -8.792962027354035, -7.881363518502258, -7.039057824368362, -6.016599750167572, -5.300820701284167, -4.585512523920091, -3.8503246882749043, -3.034146666913689, -2.3318104138494924, -1.825037444342511, -1.715128596445627, -1.550225522828294, -1.4678773334124133, -1.2026656829277813, -1.5761215186858024, -1.7118839714773784, -1.9447598374396662, -2.4685606625396916, -3.168205233675288, -3.79978410504362, -4.545531057882738, -5.478019227012227, -6.151474555109267, -7.056764600768023, -8.082952579358063, -8.891073131702163, -9.618168939587012, -10.518193765120449, -11.187545100229725, -11.80214188584574, -12.31135634526942, -12.630841880736297, -13.042759225603348, -13.197051959478724, -13.207676189797159, -13.271168254520333, -12.970906192509345, -12.491803189664866, -12.182875896961425, -11.63229524459521, -10.976267705602439, -10.44026675011567, -9.476118042494868, -8.727772857757675, -7.8124274426310345, -6.971314406389976, -6.133878434356296, -5.318518859520113, -4.350429779327635, -3.8174406127234333, -3.0259423645329737, -2.4582927988412075, -2.0666155411439604, -1.5491014287903166, -1.4251312905941782, -1.0802562509466702, -1.2829126061627458, -1.4075815369730607, -1.665847166384915, -2.1600761401605735, -2.6666784913379677, -3.2395669666335296, -3.8514369437286127, -4.79275691351587, -5.491101213249248, -6.241070904422328, -7.094932133093112, -7.854621303300425, -8.770864822967763, -9.729536374419807, -10.7082812000146, -11.141174237562693, -11.832035257190427, -12.303561998148297, -12.759936858159675, -13.02066546959782, -13.157592035789124, -13.155395023749007, -13.098899278978667, -12.753808995999599, -12.562539534737201, -12.134215618905506, -11.662797639309277, -10.971531367593466, -10.36704053350232, -9.495845978070813, -9.563010642384915, -8.527865972068577, -7.864646541301341, -7.1117323230306475, -6.793347177553794, -6.243636533979689, -6.424722610394677, -6.77306165711476, -7.026928264924541, -7.81105888588136, -8.382842368060727, -9.433597764147853, -10.214575973075558, -11.007845056408211, -11.836223350755478, -12.265113603842135, -12.580264422931759, -12.528130099188962, -12.331990622857774, -11.914301626896668, -11.159447096059013, -10.414971215579245, -9.830623395510019, -8.82156430281631, -7.822843091806744, -7.329259963569141, -6.751435769721298, -6.290119740778364, -6.329240517776082, -6.649270310908298, -7.019478038431324, -7.552303535629356, -8.374250769350548, -9.153245080125801, -10.009652758944922, -10.774173049743434, -11.720037653586623, -12.10263783719249, -12.531528057610279, -12.554818822087881, -12.431131953187727, -12.098050075525743, -11.412387818091629, -10.705546674926484, -9.83209146632881, -9.03154628212295, -8.274916157355213, -7.449082708228634, -6.9882923776257515, -6.259453488827894, -6.47424881622665, -6.47076722641303, -7.017345434570567, -7.4564647696788615, -8.19487652556991, -9.052038387270942, -9.733376267224315, -10.620376623002366, -11.389000738862139, -11.987063616127777, -12.280397922136068, -12.5399271258372, -12.577006405965395, -12.020442614787882, -11.621857412440937, -10.827265153650641, -10.032812503153782, -9.08106620930591, -8.278612847488503, -7.633845783343732, -6.978064381387327, -6.562910613707993, -6.1577711602144785, -6.193269836079404, -6.768978243157614, -7.251678880834099, -7.906638891018108, -8.731722889837759, -9.670928540949518, -10.671627491976386, -11.3753665298009, -11.989878425071794, -12.52888280955001, -12.758333088325518, -12.534627572719605, -12.30031452354895, -11.547200534612546, -10.97677587111707, -10.276197236317842, -9.393578681599106, -8.502228311476616, -7.712850120278869, -7.1506413466731304, -6.775487096629501, -6.3261838119793214, -6.47322714060712, -6.613571862636342, -7.242231447107837, -7.8538672301421695, -8.739346942065072, -9.52660511446972, -10.28894261588494, -11.105578919405053, -11.734241437300403, -12.26940241680897, -12.505695942419052, -12.329942478698051, -12.46526545377582, -11.850794148705061, -11.342030145023955, -10.391674359841467, -9.529740348976267, -8.806531651410637, -7.791412419121484, -7.100181276565664, -6.634324416877031, -6.628713440576824, -6.295416017884612, -6.606957087451655, -7.05442037071636, -7.57040687776194, -8.418887382340024, -9.276958119770084, -10.357317799246559, -10.960771989045213, -11.625107031829803, -12.391072851795302, -12.490598228443256, -12.414882660430777, -12.510915743346793, -11.862366104940271, -11.290119407434457, -10.496393505954678, -9.821048593661493, -8.925096491018262, -7.964424901109614, -7.326173452818114, -6.701328459796864, -6.351906952841145, -6.407567577266735, -6.190769179492328, -6.874558760026382, -7.552070950087874, -8.214163344864094, -9.078906343536337, -10.056318696490115, -10.807274208015079, -11.576155332396267, -12.08544618327855, -12.496601065412305, -12.485227596491379, -12.660147652620896, -11.99176664276224, -11.620510109937687, -10.996904540741069, -9.958474342887667, -8.953372662616914, -8.11555212266861, -7.24116877693227, -6.964642397526771, -6.428263026293863, -6.442234516919403, -6.506951762743923, -6.818327959836433, -7.364329522299427, -8.103926859375887, -8.839972678142649, -9.70731746669008, -10.528194634407273, -11.282582667702666, -11.99948449105735, -12.320061128330462, -12.360975325784805, -12.57607880307929, -12.133739091490236, -11.577690805849345, -10.876976753964385, -10.241345564982423, -9.220974250998687, -8.504692189822656, -7.574388081401471, -6.872372261167261, -6.68750409614155, -6.466890408613805, -6.318849169069173, -6.608831889721215, -7.167520454686926, -7.972535769701036, -8.6605455683881, -9.485065223080467, -10.386082757729982, -11.287896232698262, -11.774992477803575, -12.40138328381834, -12.503855040542394, -12.633814923878546, -12.36877345131965, -11.89515755254656, -11.286718326465937, -10.61143036124017, -9.379354732349375, -8.53338493458335, -7.825753227011247, -7.19010955693539, -6.682509891867207, -6.3885322517329355, -6.215898385083528, -6.551427529824385, -6.916461505003255, -7.7956390283505534, -8.47090118400105, -9.326216807943036, -10.396470437110445, -11.071115734701046, -11.976956915119343, -12.148416595971925, -12.513516636760198, -12.544750109924664, -12.378263813074733, -11.99296275250415, -11.296546609795689, -10.441558008657331, -9.5597447321865, -8.990825575589474, -7.9912853914278745, -7.226307511501203, -6.686247157733827, -6.4543454940796305, -6.343424028831882, -6.716937025609947, -7.0559597730577845, -7.665314351091366, -8.357817416604604, -9.320499459043988, -10.00688090918405, -10.842859144886138, -11.703939381833814, -12.021697600515754, -12.447986611713274, -12.607228952408263, -12.33894108172791, -11.911065336678865, -11.309086332414694, -10.561284089521086, -10.06106775159918, -9.036345183618982, -8.381129763930579, -7.5442845812356385, -6.819290503110894, -6.294807375633533, -6.3060991230258585, -6.345660521688656, -6.952264984906869, -7.34751630402403, -8.098321147012506, -8.950186493602038, -9.106985637850856, -8.917009970405806, -8.828523577265619, -8.738929918472968, -8.658544438095488, -8.341612078840432, -8.263912815208231, -8.305381557258832, -7.999695399205474, -7.852245413425017, -7.907628088929931, -7.961486908137663, -8.007116022798888, -7.950716421230271, -7.929897382443491, -8.000584706621963, -7.865491784669407, -7.840627293355908, -8.253645460893129, -8.178942456679378, -8.359866058697929, -8.526342815261676, -8.629024909583716, -8.842183276817275, -8.807591395808895, -9.096253769177457, -9.070497886880226, -9.272944888520481, -9.693423032594023, -9.638445162448098, -9.740201964831234, -9.75475745122634, -9.921543076299786, -9.781284670523744, -9.979729261899736, -10.036114949921993, -9.96699226179999, -10.104713220554062, -10.031156961065996, -10.011560914069074, -9.965788082483625, -9.841882818183796, -9.825660967333855, -9.845246819069756, -9.717003064863786, -9.384598784579048, -9.663312608390099, -9.435969017426562, -9.005434239866595, -8.830785326195581, -8.844814515306876, -8.668981086428566, -8.586349606478443, -8.462908276603445, -8.472702899110677, -8.44044385026493, -8.260907718287337, -8.079585905663048, -7.951137769219983, -8.176628235502793, -7.825437485934734, -7.968388833274233, -7.913331803244911, -7.886489607385659, -8.017339637244202, -7.954296190017965, -8.099772073617496, -8.105960846428998, -8.449354347263926, -8.351863357690911, -8.437044003420132, -8.520358402978491, -8.65500082070379, -8.896003992238818, -9.01936970691248, -9.001000454173429, -9.203481967216801, -9.378810138522969, -9.477074742550124, -9.57191457124383, -9.648535572099137, -9.881077037509739, -9.96133103556625, -9.946641146230242, -9.933611480883352, -9.999404613272132, -9.964222106856141, -10.083172393872534, -9.850629227738185, -9.943029177622181, -9.750172178367123, -10.029973288715365, -9.913677056206279, -9.772842279733476, -9.647105506026742, -9.516189946337395, -9.348716118584294, -9.257216753173868, -9.12140343072311, -9.044175922189833, -8.81746297976569, -8.785303108416727, -8.490596800335044, -8.49697048594083, -8.417339048363871, -8.276320098141579, -8.008610241377406, -8.1521002514898, -8.170963811615724, -8.090257813617194, -7.808253354247584, -7.910609373215657, -8.025201087248883, -7.989541244722813, -7.874700022316119, -8.110086716758738, -8.102868223785107, -8.146761460104445, -8.249385416153487, -8.361914009079703, -8.196435322755232, -8.681909779850113, -8.754698347118094, -8.900311140490514, -8.962461324351082, -9.141027704417654, -9.243518264491037, -9.391761521268448, -9.583210199061746, -9.367176031394425, -9.722641261214347, -9.727213063409549, -9.917897453063016, -10.007805134138552, -9.853448916679, -10.060980085050707, -9.947582532205669, -9.866872600969593, -10.05015249157214, -10.101359176618292, -9.850334613341783, -9.909900344247792, -9.558123665590928, -9.68434023736174, -9.719337641059807, -9.374623444018969, -9.243430163339449, -9.142214255947069, -9.16510072635985, -8.806044081288814, -8.852083413527035, -8.690164579411592, -8.391394513695317, -8.380201322430782, -8.313874908212345, -8.162490180214109, -8.103750006027578, -8.03274460024066, -8.073868696758028, -8.009616897322575, -8.040854988646668, -7.955033280092938, -7.968635047585519, -7.992353497199508, -8.134721625117809, -8.04251946945316, -8.166213447956116, -8.265038988598425, -8.404583784616893, -8.45370411407274, -8.52146355792696, -8.668705765693186, -9.119437279282014, -9.088509215511396, -9.084753873613868, -9.239223114490771, -9.273236682778982, -9.709649808262602, -9.667526736411798, -9.798967250290593, -9.772793077772123, -9.702557313061938, -9.843364389513797, -9.875418672231323, -9.829773629550186, -10.0185124242913, -10.090807916209071, -9.937986384437611, -10.116559482870468, -9.755750861026748, -9.967564872730602, -9.647275323865733, -9.723541308893918, -9.239896908130925, -9.62088748532611, -9.423743584257872, -9.153000317791806, -9.22817621053197, -8.994775899915235, -8.84866710726233, -8.441284092564832, -8.407339239862516, -8.431600846437846, -8.344474366509623, -8.159072396799948, -8.216046934793598, -8.231745497197766, -7.919485857218571, -8.027154166861214, -8.006516506393973, -8.040108286340365, -8.015630925346445, -7.985080540169008, -7.969535594800443, -7.957663247331726, -8.141413489224385, -8.144088331567684, -8.329051380083138, -8.411385419856801, -8.71273090928292, -8.63248602199739, -8.806469302316374, -8.97822147352478, -9.185428829109313, -9.061897197315872, -9.250882494283712, -9.372520700858985, -9.522376943548322, -9.749755062644851, -9.699492657341331, -9.858074348258098, -9.952555485939383, -9.919775099127905, -9.994380572735025, -10.118840375761492, -10.21086596326462, -9.849951807668717, -9.917175818228822, -10.11744287095516, -9.92879567688351, -9.968923574395422, -9.84862126015077, -9.660546746247707, -9.575597813536225, -9.3846957499828, -9.13810980614611, -9.248854122554317, -9.078109128595461, -8.999760203081925, -8.702353375971171, -8.472811177675652, -8.226293332343333, -8.439791154527306, -8.20445150976417, -8.116089660754767, -8.248080789021346 ]
The given time series is a gaussian white noise process. What is the most likely noise level (variance)?
[ "6.29", "1.53", "4.78" ]
1.53
multiple_choice
null
null
51
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise" ]
The noise level refers to the standard deviation of the noise. You should check the degree of variation of the time series over time. You can estimate the standard deviation by observing the average distance between the data points and the mean.
Noise Understanding
White Noise Recognition
420
[ -0.0495041919763164, 0.7477676326189848, 1.776544356862287, -0.626999620824191, -2.4574716156056176, -2.503184635191392, 0.7979696654654295, -0.7811480816448118, -3.3298757979821225, -1.2171243707197168, 0.33163417163763337, -1.4427334571767518, -2.0378323497443294, -2.4979103180292825, -0.5418283836599336, 0.655097589651998, 0.645084536482343, -0.6650329475354089, 0.5934211363091731, -1.8736337549787048, -3.07690312935371, 0.9781619754439237, -0.18756702454000113, -1.0532471248884705, -0.09997654967453781, 0.056835399730402913, -0.00615129410877599, -0.2607659315522278, 3.213469865082241, -0.9767446302754527, 0.7170908134545187, 0.6469888806632695, 2.7862813679411187, -0.8572447876215472, -1.7323574892592317, 0.6796124941164474, 1.4477196588197447, 0.6784300768000389, -2.0845762903167517, -0.569967059464691, 0.2544288714693942, -2.424058146103031, -0.5417072456774996, 1.3856815061256753, 1.2498484866424477, 0.3891411559129875, 1.6399476362748786, 0.9665238922898294, -0.9295062563204608, 1.0484889324198796, 2.7933823744749557, -0.3876165664710579, 0.02116942086542343, 1.044766422423745, 1.0837338597629746, -0.28344084776978906, 0.7569501872766504, -0.042930372870774405, -2.111182035144168, 0.763015470068765, -0.2677973459679542, 0.16812960658808085, 0.5212577081524677, 1.4433878452099105, 1.8673560457696567, -0.658175576204526, 0.5784255346368243, -0.42260197104616193, 0.12244494867588676, -0.08834151983453711, 0.5899723264334383, 0.8057152285506103, 0.7009787986123932, -1.1289353864319405, 2.0222660907017787, 2.003319519440695, -1.4041214268509488, 0.16940921276566423, -1.3790292401567252, -0.8823777038473791, 1.1854095877672453, 0.7765038847204082, -2.6340408218325577, -0.7920055847852381, 0.1006799181944456, -0.8131267868535182, -2.12530028019612, -2.5059784622329886, 0.954494057023463, -2.158538958799867, -0.3334253058479789, 0.13720035814432274, 0.5985431348116392, 1.3894645812706257, 3.3690064930325767, -1.3462730553370037, 0.16492203814394668, 0.9681838103048191, -0.6442248030873207, -1.654240525814688, 0.34140299671689534, 1.1236729682934798, 0.44423444928690936, 0.21530538623318002, -0.5916834664446089, 1.583403625551577, -0.32647876853797936, 0.24795093604962337, 2.8857836197727513, 2.48065500340941, 1.358581578761697, 0.1894133732316512, -1.2295667757884965, -0.8467566195497525, -0.059399588508527695, -1.3120724132627812, -0.3762025097057595, -1.8440289116880997, -1.4529369307762423, -1.4319886194330151, -3.6270792523994255, -1.9779028310339928, 0.06719274311949355, -0.06235525911014315, -0.745425365865479, -0.4812722687853617, -0.7236371626278271, -3.2577359540929165, 1.795731321523055, 0.3949992783365367, 1.1058117548230773, -1.2428976810105752, 0.9359497472303787, 0.4381126622081238, -0.6762708381856407, -0.8630910716424877, -1.561388692247124, 1.206670100426712, 0.08963044460146255, 0.832551596651327, -0.4078466070723449, 2.147564717930849, 0.8855021501168173, 2.2760498445765696, -0.12243996014131218, 0.18658858583578514, 0.06119513601956721, -0.6560187489902654, 0.7054507611570382, -0.1861181593138383, 2.67274060198251, -3.1102894184654737, 0.04524623883286949, -2.731105636827708, -3.68085733456483, 2.140038618887561, 0.39852437435100174, 1.321589798040883, 0.3528619041876857, 3.357431057798078, -0.45209503263289136, -0.06920303454571633, 1.0531213526554484, 1.1845688767081404, 2.187172010983445, 0.87908802446323, 3.246083420608282, 3.7239654419947725, -0.07212778319874276, -0.17377940581643783, -0.48043984316923266, -0.8365940991438333, -1.5652234815008346, 0.21367007595133275, -1.3016626513718075, -0.7164622749389813, 2.2636163875683577, 0.5321674703038496, 0.6608840490345675, -0.025739241818648145, -0.8850655085573808, 0.5476640535936992, 2.377076945562119, 1.0805028105389862, 1.0276597659944418, 0.812322100454903, -0.4879727116528333, 2.891239358871485, 1.413106110475149, 0.36134983540067883, -0.17956372564924336, -0.7653572124033928, 0.9761839673097328, -1.2831636437911624, 1.0157320931535043, 0.9891913909772531, 2.62937944089834, -0.5192938817092005, -1.5624691023379589, 0.5738957848460786, 1.0661351243390724, -0.4186850314937721, -0.28038104049686685, 3.2092468515610326, -0.29874903127378183, 0.7739706194889447, -2.051159971390526, -0.1499651764908248, 0.41089218606669337, 0.7111644312195573, -0.7713644873187713, 0.25480540652014494, -0.10875969066397315, -0.7357429490017425, 2.0516121518805126, -1.2051527913052318, 0.07189727870778288, 1.915048546952994, -1.2333335681765412, 0.19786278191229006, -2.7223258846276543, -0.2893420366200481, -0.7548339615777004, 0.9926725990430432, 1.3822001411638654, 1.4039021627832298, 0.9743915034861428, 1.2321808589768848, 0.2606055201594498, 2.2507429651462196, 1.4374514581900504, 1.6180151616407614, -1.3486811905738763, 0.4480414887379707, 0.6256098243675099, 0.5180431539447401, 2.454719686688828, 0.9977068527061752, -0.9287224243940998, -1.1902237605322914, 0.2317362872221456, -0.38920771999440956, -1.0610324863628935, -1.2272514272884198, 0.7202947566865, -1.1246981327900336, -1.2341546468327071, 3.492915620694827, 0.6350905420065285, -1.0089297777928994, 0.26904982842437364, 0.026135648698946662, -0.6702648307562862, 0.06313447008911385, -2.008074961313527, 0.7001439917700837, -1.335910935076214, -0.6313294889608638, -0.3942023064072543, 1.4213320805820788, -0.8790750523661346, -3.039333084917639, -1.6185848444037834, -0.2553398599876139, 2.1834722000074445, -0.43822474233291825, -3.3242044449201322, -0.2988607505503624, 0.35768580515654724, 1.300621789058863, 0.1866899770396026, 1.061383679557752, 1.1287427216821262, 1.0705615099245072, 1.5560183975205262, 0.8932711976627221, 0.6340720899895246, -0.9677335531880255, -1.6160566685310713, -0.43307572868827093, 1.0256433561248013, -0.1118573391069567, -0.3967658313755432, -0.5820732354633695, -0.5482310877994546, 1.4822652078311245, -1.3461293151593492, 0.19250408089484589, 0.5360373915944178, -0.2715660070337072, -2.981570088183043, 0.5919211470489475, -0.6261024446298262, -1.7681568669342123, 1.8163484178859453, 2.463822029619167, -2.0818268725981364, -0.8388267382161244, 1.7082519742656723, 1.4405653584902713, 1.4310176593220127, 1.4366275598712333, -1.9792576001536386, -0.8023224857066708, -0.8901153414545553, 2.1204964800427053, -3.9394872324265795, -1.4192309980646745, -0.8991267862791523, 0.3037660693739224, -2.0263565444324336, -1.0960839614196203, -0.11240049699072213, -0.8202493347153764, 0.7189198130339548, -0.6891983796160868, 0.4569728725207314, 1.1199284403657197, 0.20622431803412414, 1.8002281065691534, -1.4025701630633443, -1.9138074528278732, -0.7964181140337163, -0.2718965433607954, -1.4683277987701178, 0.9142181288285997, 0.503518842724264, -0.49116992842613666, 0.4659744523663659, -0.22942946664527605, -0.1766770392582228, -0.6204797998095762, 0.9306695586345247, -2.0057725254303396, 1.9926091627302314, -2.7719495472643314, 1.775967711088155, 1.8037145164918018, 0.8460179012558255, 3.2917756928424207, 0.9523736438088997, 2.7802430826576563, -2.0467478556337277, -0.2904271597055212, 1.691527471675927, 4.3359415964487305, 1.1042738141101973, -1.1782726230126035, -0.7046090822932065, -2.22458708788534, 0.8250755570463683, -1.3503678420415426, 0.15188642952852352, 1.2658605095496436, -1.971280064003028, 2.238936189937026, -0.04927164808444595, 0.7760895967453104, -0.20601548217168697, 2.141432682921255, 2.9715518928520255, 0.0005205173128852436, -0.8145121214005837, -0.5396870177566225, -1.3924735287387937, -0.1857798546153117, 0.6817185556618929, -0.2778850588143622, 1.115724902422607, -0.9408463414351144, -0.42994270407175783, 2.3933121298305724, -2.3960410127788223, -0.7443493055786454, -1.8654676047815208, -0.4942494287875206, 0.16965327217211076, -0.7868289575095921, -0.3360075761702794, -1.723141402035092, 0.16147980780449023, 2.138584987716038, -1.28680831926793, 1.833409019925052, -0.5988770737343148, -0.0011474984934844012, 0.011576976696347954, -0.9411377783921464, 2.1273220182180963, 0.01759655754474828, 2.7321060657904317, 0.3231815583644216, -0.05297330744340434, 2.117182261922002, -2.681115281645485, -1.2396127398061885, 0.6479986402421462, 0.0029154302008558147, -3.424834672548973, 0.15080870137782582, -2.2389773719709187, -0.8293814936009114, -1.4270350051001341, -1.87353123968921, 0.6663789224929373, 1.1326871689548066, -0.0459067339845683, 3.1810074992503474, -2.492935134671699, -3.248709482713592, 1.194097026973145, -1.2030331631488314, 2.2766640601052894, -1.3005796052989744, -2.461720902504177, 2.3652773874420614, -1.5819887575113123, 0.8936000247795897, -0.3933005901002899, 1.9824940655327807, -0.6671274319021583, 0.289849515191164, -1.8410812716772438, 1.0010114230078684, 0.5092867301221173, 0.3022603437621062, -3.076771930077508, -4.441497405777807, -0.027407452604313605, 0.18752693576263477, 1.4156701069651605, 1.0419188171560116, 0.3424596064347109, 1.1782842963427018, 0.7097425814508801, -0.6295077403192675, 0.9557346028761897, -0.8885242483797791, 0.26300796095765067, -0.02562482866823376, -0.6704142737153019, 1.949829321118734, 0.8473197308081104, -1.169730259716157, -1.1754025166141677, -2.0040690666772982, -0.5693947977578008, -2.6241268425105777, 2.372276058362124, -0.7048158777587044, 1.0864028557213572, -1.055856896874608, 1.0771431765216894, -0.2722328706260102, 1.0208518797607322, -1.2760050035641402, 2.047609749597442, 0.04368402395577957, 0.21813741932475988, -0.6417545938708885, -0.5725626766325776, 0.3201295308799297, 2.5162971749744574, 0.8841798708676407, 0.6995001983366418, -1.5728705753790697, 1.187613485938126, -1.3789458765566664, 0.7434295072597142, 0.06789893508928269, 1.5648747484505856, -0.36698084569859635, 2.1268357635173927, -0.7468700067265137, -0.3498983821456472, 1.2144426286870806, -2.1370083896584773, 0.4155945352201803, -0.8176168635958103, 1.3529110073629287, 1.8310437119307772, -2.7153659023981955, 1.9170063129897557, -0.6919507355558984, -0.4722107487991095, 0.020188678760375445, 0.3031259108142973, 0.7249274167879132, 0.872044919249134, -0.263389751463999, -1.2348481154284203, 1.111595102655402, -0.6233714874072582, 1.3333450383857837, 0.6981799536098396, -1.7837531549645296, 0.3606139974821681, 0.8925427280403281, 2.981892777313524, 0.8726075751460413, 0.8867907980079466, -1.504347757425491, -1.4030390628677991, -1.0478982631762932, 1.9371912391442059, -0.3267523852661766, 0.02980368530622135, 0.09111679916109779, -0.6733462425443425, 1.8622453872518179, -1.7667110575180407, -0.04053994198640414, -0.028498049642989437, 1.7541688574851604, 1.719936255341782, -0.9937949680711691, 1.00384953182595, -1.0964641572807465, -1.1272740660739133, 1.4437765949130477, -2.29234197777888, 0.9780295374763485, 0.08726610857568512, 0.8762032379972523, 0.8739436734625687, -0.6690740224457545, 1.6595811511559913, 0.6156196266381705, -0.8530277108915085, 2.32028314800738, -0.8319874981748215, 1.8963389307048863, -1.0096768277215307, -0.39794466920312477, -0.9485733366261777, 2.261008593674087, -0.9750183806413447, -0.12659925176554165, -0.009907419233627812, 0.20476920509736107, -0.5182635352438517, -3.013684498186778, 1.0943879569912316, 1.7388727153557642, -0.4495515797865688, -0.617513293784781, 1.872297775321769, -0.28226736477417536, 1.8316004100189835, -3.743695314527243, 0.8547687541505415, 0.11101703026821805, -1.1517832068681741, -0.09039815144841715, 2.2438499146059243, 0.16787180256732182, -1.8376275573913776, -0.23676989664583287, -0.2695422928615108, 0.8258715302349554, 0.6091959920013528, 0.45795864014350407, -0.03909871754731818, 0.06665628188193562, 1.081778225739854, -0.5287266774770313, -1.1362277426193146, 1.3508852514744036, 1.3749711859257958, 1.2167319789367197, 1.6677834811838887, -3.48503608298215, 4.139023673407237, 0.7920405964032129, 0.4667514700622487, -2.047386879321144, -1.2168994317076445, 0.9628619847708133, -2.2634255032746555, -0.6446837789949906, 0.48765477320463124, -1.4032081396263127, 1.0158671126999654, -1.5421353947623102, 1.9140036489921235, 0.2768401378667949, -1.0794904983316007, 0.7821859592787471, -0.526845069710129, -1.4459428908788485, 2.293208722260198, -2.3247218786913173, 1.3618872910585533, -0.18810114305758474, -1.7392159240394605, -1.9870082746624407, -1.701733529945455, 0.8029681198499897, 0.5256569964496093, 1.1880603356565427, 0.03123619956468597, -2.8875848062387557, 1.4946060809016841, -2.653404770249023, 1.3726683199218557, -0.7341358120635713, -2.3617083551768263, -2.859698403852719, 1.3822442908123174, -0.29068782653498904, -0.20554522440099304, 0.8812835287572107, 0.856137666743467, -1.7907715327913338, -0.006649637660589389, -0.5860035842771563, -2.0910857574318418, -0.01473850363339994, 2.1856784772590543, 2.9979429890068596, 0.9436245433622734, 3.713170310785942, 0.2550234749588842, -0.978659494882461, -0.5482612122455515, 0.31365480274591223, 1.742956367567982, 0.08404856697156252, -4.400457431200284, 1.3707311558074555, -0.34932012065612594, 0.4372246134611485, -1.4165350095177647, 0.9880506783068881, 0.5458157982235897, 0.3001632691821909, 1.070292652949621, -2.2798501939893496, 0.18225373989670307, 0.2801283051564139, 2.4905601888460627, 0.008211063997186723, -3.338951199138307, -0.21604379171908816, -0.029238639572271186, 1.439824708741009, 2.3958973741872382, 3.7443779548635803, 0.43762507478035434, -2.303007130565499, 1.3120698262555976, -0.24299383676891156, 0.019823090220213557, 2.001161050604285, -2.224294220212658, 0.2159974184066727, 0.3975665393980373, 0.0014708847543803971, 2.4844611735008177, 0.3192554067447691, 0.9802278559012496, -0.8932671854453047, 1.5481172659771507, -0.6757233989516452, -2.6440788686864765, -1.8738326247709598, -0.5733283571645551, -2.999892904900114, 0.7991169414820999, -0.0955999146785071, 2.8501368751305525, 1.0043156230564447, -4.27772639760988, 4.577279828854117, -0.873329194049835, 1.269062910463767, -1.7067997026236417, 1.8248780458581728, 0.44468933765438146, 0.15580305405535294, 1.1704590990818864, -0.29735690586057634, -0.5396368117575524, -0.6430508065017279, 3.2544889561327652, 1.305331839054883, 2.9201611671497387, 0.23269945926529087, -0.21769091056712989, 1.4739844835146296, 1.0309339059439127, -0.4474110323081339, -1.0322173280399787, 2.7420494567447524, 1.0572734233069716, -1.3541100448365633, -0.5489740778909602, -0.14389206596244086, 1.7017432599998212, 1.7537761008990704, 2.163582604417442, -1.2713013388892003, -1.5826533275690664, -0.11474187004707084, 1.0237336365049625, 0.5045353174219946, 1.501241967847042, -1.8557401139345773, 0.19914811553268635, 1.7069283184937365, 0.744068500387658, 1.154413247475779, -1.3807440985533908, 0.08762669042789356, -0.49518642217767195, 0.722408244455692, -1.0298547847475952, -2.0457392268356105, 0.1563755596011882, 0.20550171493025376, 0.22693563082123624, 0.4032556221869383, 1.9245132425868094, 0.8534877637129088, -0.19974353730522193, 1.0608576639710678, 1.0122536981102686, 0.9732020981955162, -0.6965470242349642, 0.4592504213256665, -1.1131407878369508, -0.27375514344670926, 0.9424419738404572, 1.8581166003819818, -2.004201036605775, 0.16945212918095134, -0.2518040913216591, -0.4310812557659318, 3.0280654580496877, -0.5683568932345248, 1.2902653050726476, 1.2616359856675636, -1.4517199886588616, 2.629606169988264, -0.9603733241790057, 1.467171508782516, -0.028861820147459118, 0.9658154667533831, -1.0357826498757607, -0.3646202159590567, -1.4171344978042768, 0.9221807807674044, -0.4977619292051457, -0.250567765322944, -0.6730577866476729, 2.3182735600786812, -2.252586716980657, -2.443830153762821, 0.7931129374156314, 1.2152467508580735, -0.5104195552406693, 0.11286026070792167, 0.6126816855148808, -1.3474558945765478, 1.3151762092167487, -1.4211160725333434, 2.469536579378508, 1.8507679321569845, -0.426983151522105, -0.5523164562285668, -1.8603478180849384, 2.7479172982022697, -1.0596886661593772, -1.3542812450388517, 1.2088428969226328, -0.13076199455909013, 0.9434820368163902, 0.057035390245247564, -0.20532372352238812, 1.4443585089947617, 0.6606440371531964, -0.37700669335338544, 4.098101316159715, -2.4674136117307577, -0.8621096416950909, 1.2584846457213024, 0.9975932321664679, -0.7017611795392282, 1.2734924752549883, -2.431735949401315, -0.45903948292548225, 1.2930333119913766, 3.3344522790724485, -2.3450810184727895, 2.1881196845472175, 2.465621910177151, 1.1473985105731792, 0.038536793194601224, -0.7941157474590894, -0.08511733874862074, -2.038456164222645, 0.12338908325948025, -1.8049473631509978, -2.9920677488062064, 0.3099331006480157, -1.6289665398402002, -0.2611158465080086, -1.7738283789983986, 1.8358182672576278, -0.7555668103578294, -0.5584722965758085, 1.6221732328775162, -0.934611120839303, 0.7050270453425745, -0.3667798094822561, -0.04359607228748147, 0.16018841308879264, -0.26837835717081865, -1.424405604535279, -0.003235746608735074, -0.3179411588729535, 0.7357982377446266, -1.429819544683116, 0.08663433094563353, -0.17782808217265017, -1.7787929936995766, -1.4313389121054332, -1.5128771245731807, -0.08697588203891377, 0.6797242476361423, 0.39891115505617936, 0.731901181994462, 0.882877505071719, 0.5431341008209845, -0.23529459105603567, -0.6073536302048059, -2.0652121087188506, -1.5278313758891913, -1.0075235065541668, 1.8648705921558324, -0.8772696561844916, -3.4662013961335685, -2.4263277858633474, -1.1411822126419746, 1.5327738562344866, 0.11390474039704913, 3.188962076486736, 0.47182476535809603, 1.5211178548983657, 1.3680526196805345, 0.13030510306479753, 0.8337104538930022, -0.301341930889467, -0.207237269854283, -1.7834711042740627, -1.044566878981398, -0.5880818212400184, 0.4620655595766454, -2.046666927178442, -1.152838464680223, -1.019022354454688, 4.179302542107784, -1.015468129013561, -4.478547178630679, 1.898821958731646, 1.0166954406219988, 2.6381582016597585, 0.8607664338735073, 2.2692859048720617, 0.2752714112735486, -0.7948757005621834, 0.5952155428669778, 0.3867683237468734, -0.0969993668585126, -1.50202428027382, 0.40853969773474974, 0.7104768809380452, -0.7533974279292855, -0.31531609717951403, -1.5669045557848884, 1.3618304933314755, -0.3030603867814322, 0.43772996521025415, -0.04336289504819443, 0.12542045238967375, 1.0131222649559368, 0.6283653516174601, -1.459209792181131, 0.49363560971510584, 1.0410134914867808, 0.37581311363474634, -3.2108165878451738, 0.6336749115380328, -1.3397985209627372, -1.0352467217883379, 1.2856105641322153, -0.04508261180852813, 0.5878611862902965, -0.39175096301485374, -0.28168762821679594, 1.869769877698354, -0.8726218315820486, 0.3658993578337809, -0.8726890891329422, 0.06585532747165891, -1.2440447763556333, 0.1122681401425145, -1.5474510496968754, -1.7942615440618654, 0.16334918078187027, 0.1587721226317479, -0.16158666914557712, 0.6709781955264323, -1.5962764281833837, 1.222055530872023, 1.4785024939503835, -3.3152650386911513, -2.1996692857697018, -1.416384855595045, -2.0936438472239853, -0.11862175210605863, 0.9678637532897014, -0.34737015283677863, 1.8980263463389495, -0.797598415798619, -1.408942328228108, 2.195584795523864, 1.535653856261134, 3.8475190223904177, 0.7494457100535817, 1.4728397387279655, 2.325928009018312, -1.3237583348123534, 0.36275843992028606, 2.4836281525820367, 1.0267905706706064, 0.532070415272026, -0.5067807544825731, -3.5097221227408655, -1.5488649359311268, 0.05331196915883908, -1.0644735263892513, -0.5824071371399167, -1.1393088488721685, -2.823815837524063, 0.1837975256735548, -1.2396049947575913, 1.5282053908384559, 2.2623350946222476, 1.2637867558509677, 0.28075562471449456, 0.6461086811539812, -2.5796916451073524, -0.2387116623337452, -1.219000294361996, 0.013617547514769165, 0.13848456388334002, 1.3509483060088474, 0.07515114369993797, -1.9338040650434207, 1.5661085059727637, 0.2715272847148659, -1.8403318816415775, -0.5716073628977907, -2.3591287135476593, 0.7371269424061472, 2.2687279030508254, 0.852012638723927, -1.7196203173754367, -2.0482721025356643, -1.4630674243628587, -0.6719506811519331, -2.023696239261791, -0.5007954355890802, 2.8046677055265423, -1.304868232629643, 1.1369922142882873, -0.10148829669637387, -1.0652447504267828, 0.26326926536007916, -0.26477770542705736, 0.162885731825758, -0.5888776377782845, -0.8425593649113687, -0.4975077944200492, 3.4824649372401573, -0.5404499887696816, 0.4282174775197767, 0.37357160038492754, 0.08773194233707696, -1.7693648862377018, -2.5527186266909667, -0.42022337231876855, 3.5412187011784986, 0.6484326743772927, 0.2902465573675759, 2.4504457041975036, -0.8100624149500208, 0.6801227294241002, 0.16954395181795123, 0.6391431269195917, -0.21555455689625475, -1.2360899291987464, -1.6748138612217658, -0.16178237496457107, 0.6608467322223242, -0.2731894736808492, -2.9557361913577362, -1.484678412197453, 0.02372802175290717, -1.2860121084351066, 1.2658960208619345, -1.2322681481771114, 0.5573392567610191, 0.798203936916765, -1.3640419476705377, 0.36170710580440824, 3.9095662260963135, 2.302373031060288, -0.7192714402395329, 3.5917952145285064, 0.867450574342591, 0.0865544444428181, 1.2966819167787464 ]
The given time series has a cycle component and a trend component. Is it an additive or multiplicative model between the two components?
[ "Multiplicative", "Additive" ]
Multiplicative
multiple_choice
null
null
11
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave", "Additive Composition", "Multiplicative Composition" ]
For a multiplicative composition, the amplitude of the cyclic component will increase or decrease depending on the trend component.
Pattern Recognition
Trend Recognition
421
[ -0.18740588748709214, -0.09895327558882114, 0.002210335754278316, 0.07080136233513902, -0.017456390078509496, 0.07024033922476328, 0.1320374209902695, 0.17680179655329645, -0.04618393114311403, 0.07605201236751148, 0.1097540115979444, -0.0056321136441450925, 0.083570458352293, 0.16034991196281106, 0.17180017390825836, -0.2714176323611512, 0.009912041400370712, -0.021382487406687148, -0.0017760168096957324, -0.03744367577941722, -0.16827753748529417, -0.1846006768003241, -0.140149345794345, -0.29623365352068615, -0.21586235452609437, -0.19426136955647033, -0.2307614895336095, -0.27273788228495166, -0.09879786715225014, -0.013862437377257245, 0.058204853546738225, 0.059492983230103394, 0.06575554121917665, 0.15574205439537106, 0.10558296715904344, 0.30395625769025436, 0.03955485262716893, 0.25186409829157547, 0.3498677956952581, 0.25210437612968817, 0.28765817719962344, 0.2779602595464546, 0.16691531981559354, 0.10615790643656878, 0.18552035281896379, 0.1277212919647963, -0.06279930059468136, -0.17883785664719928, -0.1836620057009435, -0.3767670700581124, -0.4353721015885073, -0.45689791509474004, -0.29152926069499874, -0.5148996594055327, -0.39359545319084405, -0.5622769396907873, -0.43783986126443747, -0.27909413982317105, -0.2653489935260935, -0.24330257137947542, -0.11874555428512842, 0.18551067816872582, 0.2678102678711852, 0.17057607264612307, 0.2854092651836641, 0.45237322024098603, 0.5856504345356031, 0.746235110705825, 0.40339670718855114, 0.5866765530321925, 0.4767051848694392, 0.6064990495138725, 0.47052596291690496, 0.4450054510999097, 0.3480830513278195, 0.237720408341509, 0.029655549320752872, -0.05631109170547506, -0.3723218372645962, -0.4994942005397917, -0.38246838594482013, -0.5755544958110533, -0.6577408294637653, -0.7351061882003513, -0.7413225913988131, -0.7044966613020227, -0.7448650673640151, -0.5413427035563818, -0.4941762499852976, -0.33824863718461823, -0.17926080584043433, -0.26166899269174987, 0.18929128768777315, 0.1525877126560291, 0.29313249267388586, 0.7925135262666789, 0.6954248507346092, 0.8117610176838352, 0.7501367431950475, 0.7808548531511367, 0.7470840351668374, 0.7966869953490685, 0.4951262901412178, 0.5709789038516089, 0.48878533514918304, 0.4082253252154147, -0.015480899892041447, 0.053504537802939456, -0.2250804333189561, -0.5704199626227615, -0.5721925292405371, -0.6656861334096736, -0.7438673716147266, -0.927760628764088, -0.877421540890017, -1.0205210608644129, -0.8649239594899574, -0.8225274443536312, -0.7865319343756452, -0.6038939885405982, -0.22107756481630886, -0.24425363278276144, 0.08030274473656093, 0.24258725647964907, 0.46468307244993745, 0.7549338653163333, 0.8946371933799739, 0.8818308701837605, 1.1298601113609248, 1.0748494764347514, 1.2467548432959654, 1.128939655954788, 1.0186839516815673, 0.996153585849116, 0.9209429784438359, 0.5656243171920221, 0.2572109058088394, -0.006892459223216407, -0.07732122067492733, -0.5523227049442213, -0.7346762148118272, -0.753082690066363, -1.121860852777883, -1.2315471852011377, -1.1487956590168842, -1.1605862769825488, -1.1899714340341103, -1.1822191211583377, -0.9173521540696804, -0.7943782479396636, -0.6250123133598341, -0.44147020045801577, -0.06029263740964349, 0.1465856292717015, 0.47348770122977296, 0.783342334498357, 1.0252799805688793, 1.1909923092483297, 1.169015929166627, 1.2030138916989797, 1.3171628227047747, 1.335233186702129, 1.3758744229713105, 1.1160399721588035, 1.0499218295944963, 0.7314362350078828, 0.48836060510387685, 0.34878995438159, 0.04529334288043914, -0.5131083581087887, -0.6475007978019186, -0.9189652480937056, -1.2751095016469731, -1.236673340204217, -1.4163894576318194, -1.370400852454567, -1.5565444546178637, -1.329142112440599, -1.4020548712350451, -1.0517210322760873, -0.9084368177104224, -0.6228323605888082, -0.19170668823974316, -0.24918982975829276, 0.42402540892826535, 0.5146706794450622, 0.9551978899475356, 1.005823080455952, 1.3366337743725984, 1.5310006049405254, 1.552328922971206, 1.6917113657815501, 1.256104421377641, 1.4993924005005916, 1.3347954104991848, 1.0254037316207012, 0.5111298666502554, 0.2977074745342313, 0.0736649268353276, -0.3615687331217447, -0.7039659706467584, -0.8429554748378423, -1.2467846491609764, -1.4234931336322558, -1.7732617151767125, -1.7559951399863858, -1.6993915865740903, -1.6980656938717789, -1.4909595162449394, -1.3006956491213824, -0.8896320865181147, -0.8419464519356782, -0.561920745749902, -0.04635849690157101, 0.3025291604958855, 0.5655566023048186, 1.013994896169218, 1.1360250079085843, 1.5230859625801392, 1.6803028105086695, 1.7728956511949787, 1.8024768564926834, 1.9690913555326048, 1.66031007359319, 1.5188762442517112, 1.261960382801562, 0.8895312422849997, 0.6127286860604757, 0.3571835466476983, -0.31660644604341753, -0.5512388820009478, -0.7677517744630266, -1.4545871598203635, -1.6042963231104792, -1.700232770296285, -2.1319933342237642, -2.144585049302146, -2.059251735410549, -1.9347198759223552, -1.7244751444051387, -1.402960076147217, -1.22448695495806, -0.8471304193890028, -0.3369615779755785, 0.1776523997732611, 0.4618694939989989, 1.0429306281827184, 1.2488093536148115, 1.5770219128639638, 1.7689339946582434, 2.045708416920043, 2.2201103605280963, 2.164632257318731, 1.933768370987538, 1.8561051509075146, 1.5195654951630158, 1.2620894608781412, 0.9884650697207562, 0.4348903122776917, 0.09213573391915104, -0.28482425200066475, -0.8397571443890401, -1.3014336334355159, -1.4113849600802741, -2.0684905362276806, -2.0628547751477004, -2.3222858404578686, -2.2221024123455573, -2.0814952911901194, -1.9921526645939727, -1.569655745146475, -1.2900375596728844, -1.0271009206136477, -0.38797281703691877, -0.1081039903925268, 0.28736839097230155, 0.7094442022760519, 1.2761116157198555, 1.6364980864670122, 1.961161669134336, 2.1376692553993206, 2.354318988499144, 2.60329467085288, 2.3528674275359993, 2.293247993441341, 2.0476085286024546, 1.478214538076374, 1.247684286423674, 0.7284205103144777, 0.16394970156309058, -0.42190828466858715, -0.5651278444014615, -1.0782456673417962, -1.6950059240559014, -1.9913186179238405, -2.2015210441274213, -2.3783130256534335, -2.502431977218247, -2.5289938786964496, -2.2185866377111343, -2.240590383806345, -1.89756822579777, -1.3654384513361235, -0.9272514205790657, -0.48548708250821665, -0.08925868399248618, 0.690413604547826, 1.0126590800837625, 1.5368491123752552, 2.06203958259165, 2.2658935939172915, 2.3599376538163184, 2.529525198186636, 2.7807779829876376, 2.4710717607035506, 2.248882970897245, 2.0458289956790425, 1.5097505390028252, 1.3514381569346667, 0.5956367560088197, 0.07754524358018257, -0.6450619521972226, -1.1088003212735158, -1.5112539261044182, -1.9700836381046651, -2.3796020027766844, -2.5271327109803745, -2.6283226032604436, -2.5628542974150355, -2.7491321692515953, -2.208203785249274, -1.9715149544158301, -1.5512295347948246, -1.2978621900673004, -0.6817414659200152, -0.08450484135061256, 0.35920205451059056, 0.8601539797343554, 1.4485059733969863, 2.0385917326189724, 2.332079729277294, 2.873388358985778, 2.8766248279190347, 2.944239284823444, 2.7539939847642656, 2.6679225714535324, 2.317511406410418, 1.839591149851194, 1.4562648004860346, 1.0822486979230201, 0.21840628566381898, -0.40911289696714787, -1.0779087331883657, -1.714958815140068, -1.8292516063799245, -2.2858575513138657, -2.5215515333431173, -2.912590819276208, -3.0705914063591946, -3.0140384016930235, -2.8248676683118457, -2.459169714277783, -1.9880219612989514, -1.469672486906389, -1.045594834940925, -0.5297053354491776, 0.2052264052224082, 0.6994435069010478, 1.314951778486363, 2.001273930733952, 2.298712826095926, 2.704322669266458, 2.8552816776235095, 3.1024536425320677, 3.275320759251623, 3.0468400976381647, 2.761958067016722, 2.254861919364087, 1.7982612697514369, 1.062611778643641, 0.7249439886765463, 0.07100868350817979, -0.5900778576030972, -1.1566395859466, -1.8374893997415493, -2.509420776595107, -2.771217708874702, -2.9528552406631667, -3.1958275842450408, -3.244005417482074, -3.165885670369457, -2.7799190827595233, -2.6248514701092915, -2.1557542387856796, -1.3912167400016529, -0.7735975756090406, -0.02537598357838161, 0.37632052655861536, 1.257651854250881, 1.8580365310047948, 2.4494668219557205, 2.841043113323023, 3.2343867146687724, 3.229389656343312, 3.4659273850175976, 3.2954433235824214, 3.1525194429417316, 2.6627002338175565, 2.272458747618952, 1.7261761484860259, 1.062181394619311, 0.3600936015683437, -0.44874811729911207, -1.1120211367716744, -1.934378001516359, -2.3366675125255316, -2.7859485422235193, -3.182402753992949, -3.5301431422193317, -3.4281992290307977, -3.4311461346343677, -3.2613782068485966, -2.992949824429782, -2.548373224729445, -1.8234231665446912, -1.1505725399366953, -0.5837836116779199, 0.04025141659205869, 0.9801495334567292, 1.8537666774350925, 2.1737826709908865, 2.7915918441393135, 3.2373455293257227, 3.502417485812221, 3.770202584275034, 3.5187190633104835, 3.59787387607287, 3.1367269719533515, 2.725821819481926, 2.1268560933545997, 1.4401134809486038, 0.6739778356111017, -0.058206025440831755, -0.5943678032706503, -1.4126906814470332, -2.2050454295831994, -2.7029671415884113, -3.175915389286809, -3.7756800006996274, -3.797207174941359, -3.913183685568364, -3.6270051798870364, -3.215525615878467, -2.838977139209584, -2.319707119196481, -1.7419091452813082, -1.093737359300986, -0.10228888443053089, 0.6373345510455748, 1.423739175811699, 2.104656806959361, 2.7526666098185033, 3.224043719253106, 3.640127309275564, 3.815949484257914, 4.037533031811427, 3.7636567179757603, 3.7537533220608084, 3.1806572442463543, 2.424965598534663, 2.1415600682569176, 1.3423570219131629, 0.1293110596003133, -0.4640617466031344, -1.4551735709733586, -2.1459527721033207, -2.7706416805071963, -3.186498265843188, -3.669766111317945, -3.8643629346473425, -3.9081370618162206, -4.116140944319922, -3.6661085527879966, -3.2515248822145124, -2.964198883744334, -1.9427528080953071, -1.3261662710450746, -0.5634436853373757, 0.24367573187281244, 1.3281356342066353, 1.7996106148646056, 2.8809164721126423, 2.955040787196995, 3.607322469117118, 3.9971403804955536, 4.250033375759909, 4.0575602016726595, 3.851883220343881, 3.568591836411759, 2.922278742770738, 2.455139636318927, 1.4395554621481301, 0.6880372967478823, -0.14656577145915647, -0.9452780147438617, -1.7779836802984492, -2.277823402004323, -3.1667430497323097, -3.726846963167414, -4.106398226515812, -4.213793182172322, -4.441567710603507, -4.263314836068192, -4.03696557998643, -3.3587342076272555, -2.446978144332653, -1.9171720253438422, -1.1729034286153674, -0.11282898780104303, 0.8852241495552389, 1.6757777699789012, 2.4846822577211194, 3.26422696356812, 3.673335984848652, 3.9883947488464075, 4.41999356503182, 4.418428208098084, 4.199063824366608, 3.799426988218361, 3.599657157093787, 2.76746140944709, 2.152002076984251, 1.2258633041477232, 0.4885294064621114, -0.4901369115017383, -1.4184824273331573, -2.280619541690267, -3.214283637969772, -3.668156855864357, -4.199552259099607, -4.431585641507355, -4.572679353043534, -4.610624865428355, -4.193907499967345, -3.8989300199132786, -3.017539724800265, -2.3247939965638666, -1.5862458177175038, -0.6589066636279728, 0.11988039561912472, 1.2941666847291318, 2.120156797193552, 3.1368509763333994, 3.6532449375834597, 4.2875531543327225, 4.505055206940642, 4.795204806631523, 4.5514129401237495, 4.446628950216888, 3.9275340571002695, 3.501963859249986, 2.551830837592956, 1.7325690954750022, 0.8887177310677541, -0.18860083953685408, -1.0038416274020823, -1.9650670513797537, -2.6166709426710124, -3.455069088790815, -4.127014959842594, -4.62066590991608, -4.70813986139694, -4.805572319346713, -4.40144273202502, -4.201969158360575, -3.744198014592186, -2.8949583832763452, -2.0154585171954396, -1.0913800980889647, -0.022103027231625688, 0.7762352935512651, 1.8664553924385259, 2.640534244100357, 3.23126554343583, 4.112751441774156, 4.521581576740535, 5.022684045331438, 4.941642330219167, 4.7841125787237235, 4.4429486047474995, 3.9056612787658596, 3.3401987933039736, 2.21914268567164, 1.1672049314321904, 0.3235492361448966, -0.6861647659492421, -1.6481290885390598, -2.440457536450006, -3.384653210849307, -4.105398184066173, -4.553087798026644, -5.017008936344809, -5.230795076144482, -5.0398087736034896, -4.624086278980823, -3.8916937918828385, -3.4425859944994883, -2.5191715945426254, -1.4818356908218038, -0.5232879226144106, 0.5122363989667036, 1.525293370908417, 2.3633212275437927, 3.4184486726064827, 4.165173402147024, 4.400181937510819, 5.047748800361246, 5.160382989828038, 5.043394286759934, 4.877453735519464, 4.344097222772849, 3.878913203646608, 2.904095034250434, 1.8119428099287989, 1.0510314530828784, -0.30423328824611834, -1.0140020354666044, -2.252811541261046, -3.2816509579947795, -3.9336543859716677, -4.613957091302555, -5.177112812494437, -5.341132823344471, -5.134055682166591, -5.010474057040177, -4.7348440016047455, -3.8734917122064405, -3.1041260382054516, -2.401544252181877, -1.0611631580451208, 0.06072146517396028, 0.9748070714902788, 2.1433953766680456, 3.2731774439197183, 3.8456124084911982, 4.761454680326662, 5.240811675129487, 5.286167710031723, 5.286197497472748, 5.202670824901584, 4.758660846342068, 4.178882492941729, 3.5422165404528507, 2.585561291542425, 1.540105484267334, 0.32193241689832797, -0.501796651010592, -1.7180106430036075, -2.8838781000658216, -3.7516277533286138, -4.538850011752179, -5.097468737018219, -5.3752299331120135, -5.577800038887322, -5.505182500526363, -5.059180315963112, -4.558944650707697, -3.7754259836775472, -2.961253138956892, -1.7251220068055373, -0.6056652059423934, 0.5474304828118667, 1.6304816249179706, 2.772767130642704, 3.7263381759984835, 4.451050837537067, 5.244260903667933, 5.379747925908369, 5.7954086464766705, 5.663358489698675, 5.388504561934509, 4.7479274196765155, 3.9907853206391537, 3.0825716380944965, 2.1553807845589366, 0.9574606875023837, -0.33395529025011034, -1.428438397316621, -2.5460140270010907, -3.4505216870589925, -4.577289996968367, -5.10565418985088, -5.529740608307538, -5.932327986507198, -5.906277367583848, -5.555999886698345, -5.173299287854121, -4.377631047817204, -3.4945420387023614, -2.3125095518487657, -1.2278179534455305, 0.09693102291605428, 1.2182581062317328, 2.457969791084583, 3.376718593544043, 4.48836359653256, 4.94244385034742, 5.379233337554162, 5.862353110334077, 6.109057411578201, 5.830791736966646, 5.231373923598717, 4.482052982831041, 3.5274070139967275, 2.686307414175757, 1.4872659996931465, 0.3870327814344303, -0.8038871977387068, -2.1172944354674397, -3.335692353021539, -4.185597382411623, -4.893129201560795, -5.593799186767305, -5.98527029552421, -6.182091831035291, -5.8232063341746105, -5.510780541236479, -4.920866078293328, -4.099929462373066, -3.023000804643419, -2.040250911762933, -0.8502702661579352, 0.5488822436433325, 1.9400935460536628, 2.9497605685089967, 4.065240291689621, 4.971937474044295, 5.576450072489716, 5.802504666229172, 6.261758104144587, 6.373144871243888, 5.649028784453038, 5.275244328319509, 4.15502527126019, 3.469323015905597, 1.9969428938197957, 0.9790281032096334, -0.3200360707331348, -1.5122683495055642, -2.7111151739811588, -3.945826747477108, -4.916649064471835, -5.638075673639818, -6.111247586198022, -6.301031093954927, -6.270217632326242, -6.057753716719624, -5.402854438374332, -4.604654755959615, -3.447024823592677, -2.418805324320746, -1.245484067386047, -0.010000451463782787, 1.1479805664489944, 2.4183442273246705, 3.8158435833140754, 4.74149717174411, 5.440017244596208, 6.089769768510963, 6.361858660277328, 6.441192607434672, 6.122324541353761, 5.782432555137784, 4.944036397386735, 4.11377762170249, 2.8637995251838193, 1.6477762583396558, 0.29468458683938675, -1.0962412432918978, -2.536821328863341, -3.424456653587379, -4.5331103095268315, -5.548973678359398, -6.0348630723783705, -6.708944187691164, -6.586697766617681, -6.426341654902408, -5.866303401251484, -5.2182257585371365, -4.471543388503709, -3.1768946294135776, -1.908593783287714, -0.5546134131826446, 0.6859019008264741, 2.2982167221410057, 3.3261610172750493, 4.470014895315232, 5.3032135426052935, 6.318980333567853, 6.425376524580788, 6.659889163661923, 6.7697289363647295, 6.1767321372719355, 5.547168153116647, 4.644460280703035, 3.6732389180884795, 2.389531483398909, 1.0516236257085023, -0.2372098479643666, -1.7226308022479329, -3.0541092695584755, -4.231424479689694, -5.187667754703405, -6.169344472442422, -6.583343427677753, -6.700206173491966, -7.089275196591949, -6.461789093320483, -5.81003283680598, -5.05303495890406, -4.050138769336567, -2.6986103226686504, -1.2016283335916675, 0.03478482494218298, 1.406854817637435, 2.8728632911951397, 3.850965056565277, 5.087769021361767, 5.923887774590838, 6.71740694719728, 6.975988314142553, 7.010363718653959, 6.64742814654783, 6.155994766267598, 5.425137588713721, 4.368538748663947, 2.9719421461741944, 1.630227995970019, 0.34069882345776925, -1.1889434682674747, -2.5329380279151446, -3.849555576184638, -5.025918842385616, -5.856811925549056, -6.747284935363815, -7.0229533430274005, -7.227447017322909, -6.929441639062275, -6.428436838613961, -5.646225294969091, -4.613336924331717, -3.438581961861148, -2.17340688000073, -0.6952320532146927, 0.8363233478593715, 2.2411204967589833, 3.5581076096450706, 4.832473309494496, 5.873825811962635, 6.678476951586914, 7.166020713523996, 7.206082483079272, 7.221647001255579, 6.64969518115794, 6.190078317336574, 4.983591272709047, 3.775923722422514, 2.4084853325663738, 0.8984187631501217, -0.32400273417197967, -1.882337355140506, -3.27300407048011, -4.553468197719502, -5.6224178426492415, -6.401919034276434, -7.135598061415344, -7.428746124580413, -7.241703377704841, -6.875301238864637, -6.222871895951767, -5.334405873156124, -4.235141842693209, -2.817934131488425, -1.4449819507573274, 0.05733014785519289, 1.6949459358563452, 3.037218198722425, 4.5299636389828155, 5.471349039590046, 6.56695203464044, 6.955622350814702, 7.346976320006973, 7.628410455439814, 7.304791778358187, 6.44422902812454, 5.686530306153684, 4.427683299838107, 3.3012131398290188, 1.7973510843716654, 0.22556767897022675, -1.3713828776279031, -2.750240606451683, -4.17337976394131, -5.560505573191009, -6.4028486538015255, -7.19850964795853, -7.506561962229971, -7.620498163858742, -7.371948797210532, -6.793347918408513, -6.130223975617384, -4.912296885337396, -3.511383808742621, -2.0816771307563093, -0.6647036051423922, 0.9929288955994209, 2.4472872978985563, 4.026339481828642, 5.165743348076209, 6.143994736483482, 7.160981541913249, 7.769248778528887, 7.853520628111762, 7.728458416940455, 7.017727564209624, 6.450485798481371, 5.3966613220984385, 4.081807948414096, 2.432033327319048, 1.11592048684104, -0.5166127614983662, -2.1910344651117835, -3.720614424207564, -4.927909616825943, -6.29048425982244, -7.085818652233468, -7.42920346382278, -7.96200448397092, -7.621163143279675, -7.423592875695161, -6.724842595231223, -5.560279082076671, -4.3581399173505035, -2.77366918990668, -1.4416103399119693, 0.1604004508760583, 1.8639287773855984, 3.36276446151537, 4.893274578546964, 6.068935236298257, 6.991575826275091, 7.847108032813386, 7.758030697509882, 7.938589634483391, 7.626122581922145, 7.082987703165253, 6.091023456621941, 4.728740427378638, 3.274774335836869, 1.7562574035000555, 0.1515708243316295, -1.337485666713507, -3.016686065568843, -4.655218433530081, -5.868832497485765, -6.745156943314565, -7.630036532848735, -7.933506961465839, -8.094000343005282, -7.805864712318572, -7.085852526957073, -6.381478130918151, -5.300729991337412, -3.866814295578921, -2.2415820377398608, -0.5833930406285505, 1.043706739345567, 2.883685375871834, 4.291427722480607, 5.697032833724776, 6.6061107012279985, 7.436584464850688, 8.030110070087819, 8.345236489627442, 7.931617946655555, 7.459832492807335, 6.536541924422441, 5.378655995708843, 4.266556580630288, 2.8230813399197183, 1.0703243980228303, -0.6783027282208934, -2.4269130309857925, -3.9531328358099387, -5.423566583580036, -6.544836831139181, -7.565752120562236, -8.07801718753266, -8.570447081631713, -8.498766655081539, -7.718500430055423, -7.141078700452796, -5.8484326273244545, -4.5855295576402915, -3.1687874876330255, -1.4266678095207226, 0.29034247540214797, 2.13428466414354, 3.5808287533213345, 5.2492589599635355, 6.365221043600687, 7.310110462462919, 8.007480632981638, 8.392571492332216, 8.388515170813752, 8.060060129593495, 7.365946403429436, 6.296489438961151, 5.016908578213528, 3.68129648951758, 1.820017345584526, 0.07583613379008852, -1.696724646235347, -3.259106932451633 ]
You are given two time series which both have trend components. Do they have the same type of trend?
[ "No, time series 1 has exponential trend and time series 2 has log trend", "No, time series 1 has linear trend and time series 2 has exponential trend", "Yes, they both have exponential trend" ]
No, time series 1 has exponential trend and time series 2 has log trend
multiple_choice
[ 0.9981638674985078, 1.390521291559753, 1.4099621570262943, 1.5989157701868373, 1.8494965992953747, 1.799003737665734, 1.927652594724769, 2.171090611445747, 2.019954973456207, 1.8963752700025753, 1.9055179470866983, 1.7749251406216897, 1.7339786398700316, 1.52318496677981, 1.2317271480669112, 1.165799014478597, 0.9178016318660478, 0.6270198053443096, 0.3275232344007506, 0.44010609565564474, 0.2714205323058836, -0.05289058402404925, -0.024050082111961607, -0.08564552427367639, -0.002689528172442446, 0.3307147789223718, 0.3499234074220479, 0.44340918664654266, 0.7788584890324445, 0.9966747270375768, 1.2622294884729153, 1.4027973973635612, 1.6067846857323949, 1.6402778126803932, 1.8831700713453956, 1.9854637914509954, 1.8283631639504754, 2.129466848279212, 1.9083061144585012, 2.092230612189755, 1.8809199758980875, 1.7448917397608408, 1.5630402226872384, 1.3603619911133698, 1.1920702205846976, 1.0959985373600374, 0.6874245232009562, 0.6031728926392533, 0.6417505529810454, 0.22212927544982236, 0.1828500973607307, 0.2050751226040703, 0.3200571990904482, 0.2826632166717438, 0.1834410717715318, 0.34788626839808756, 0.43520667209934527, 0.7424570319311149, 0.8204920708261239, 1.215107316136714, 1.0681483421477123, 1.533175831596045, 1.7423214704261567, 1.5878039011796083, 1.8171707113597366, 2.2157542818041227, 2.1980441607441255, 2.2426724251664023, 2.30354364514076, 2.029435562812459, 2.119062724554262, 2.0970299793216083, 1.7548071882115273, 1.4746192441741521, 1.2169155132567915, 1.032227613437694, 0.8245791621102401, 0.6219352004214307, 0.3459078373372001, 0.3678308086851181, 0.2556369253398447, 0.31851071981845414, 0.23328521045051218, 0.14242830834275133, 0.18873332428399686, 0.42046047261142444, 0.49135773166824903, 0.7774566885899883, 0.8995541786262984, 1.3097395802751692, 1.4563145119389438, 1.7043105375145238, 1.7782693384233554, 1.9782997037054897, 2.1808395259500224, 2.217420840910159, 2.300594292404225, 2.1657238011167035, 2.2786636654016243, 2.05045710012993, 2.194458751237465, 1.8486930120577487, 1.7565571496611065, 1.4006080257117182, 1.2129773215632018, 0.9980834778293426, 0.6483200217366041, 0.3795121389335193, 0.46028290561641405, 0.18030155861136193, 0.31734632660070444, 0.23569709686043047, -0.02233801680827613, 0.25897790579266833, 0.40499991519767, 0.6823419747624699, 0.6618680545569161, 0.7350246150237711, 0.9307407391280376, 1.2717645613092528, 1.4397979945942143, 1.7208096274119566, 1.9414769173713877, 2.132808269827448, 2.255468594450925, 2.2183574447164505, 2.377172032686223, 2.1522049239607073, 2.2647727701183924, 2.176537871972857, 2.034196201068276, 1.752827469638679, 1.5744389127221485, 1.527048137916634, 1.2094938340282557, 1.102425281097659, 0.7873534183902328, 0.9598108605815305, 0.5021363646901267, 0.5409586692236023, 0.5915655087590939, 0.44131567927016635, 0.3164594115002781, 0.407906002402429, 0.1943267714080114, 0.4352592939405904, 0.8424588071074688, 0.9837370997892019, 1.14210481025017, 1.474160842410806, 1.6240245776870883, 1.7840551584615727, 2.15708942008244, 2.072868630912957, 2.379921320508004, 2.401140431002193, 2.5364248906511775, 2.3299085211927966, 2.176171828359094, 2.1398243937885377, 2.0556658501888196, 1.985562305792578, 1.772686444771226, 1.4629112322695952, 1.2659932695130969, 1.1385796042188914, 0.9848291634080506, 0.7463806629459262, 0.6083417853227984, 0.5067172735437737, 0.4552171382946706, 0.4452737611899602, 0.3536207469106926, 0.37029909151076745, 0.5635532906514867, 0.759093497509582, 1.0539659154195138, 1.1642563196881506, 1.4262295569071601, 1.6296203498104276, 1.8813833231766406, 1.9814481772492765, 2.1190876012167417, 2.161903184998549, 2.4565338253980027, 2.1781497545443864, 2.5032399433355295, 2.540123249615605, 2.3573550523471316, 2.2902168243040344, 2.0577652622013587, 1.920145856921784, 1.705315684522519, 1.581637263066443, 1.2737719635659255, 0.9823222459479413, 0.9507355995612147, 0.7485694028823435, 0.5682054146886577, 0.6182362706361793, 0.7119320959339841, 0.5630021198625504, 0.6440756758757289, 0.6710061423661684, 0.9292264519230757, 1.0151933715546713, 1.0841359061744789, 1.4071372571925553, 1.6070543660346537, 1.7399791285126796, 2.1091305734323127, 2.0444274480490305, 2.3667667068158553, 2.410703926170166, 2.377791716130078, 2.5913457522563093, 2.534409666590133, 2.4687759454034044, 2.330175990627292, 2.50792628429937, 1.8993384561002675, 1.7426548173986642, 1.8081096087414357, 1.5918214631482832, 1.198497175593095, 1.0811998380840828, 1.0278288058199179, 0.7902694859597926, 0.7853883169697177, 0.6295783065824334, 0.5540418045679144, 0.47775011292162495, 0.6787898796050623, 0.7249412399443425, 1.0297988364525816, 1.1982922188978797, 1.2745022889058988, 1.5068653256877396, 1.6907599416426833, 1.88851318447968, 2.035280811817923, 2.328004909561999, 2.4415463129911665, 2.732735675443605, 2.62063929956423, 2.924549292950647, 2.847632632425318, 2.533575237930233, 2.495304710683209, 2.2081915152840508, 2.1519007460456714, 2.03920450577306, 1.8163710268213553, 1.5045859803219155, 1.372373570525047, 1.2390849217685374, 1.0083291515669122, 1.0187083497362894, 0.7746462315446581, 0.5661752086762857, 0.5505658995918727, 0.7039762754310795, 0.6974416773969984, 0.7701362490123506, 1.040803659681502, 1.343818424460235, 1.4197519359279913, 1.7135707741017072, 2.0417503440693343, 2.147388876428662, 2.2111468278278186, 2.4730442635945633, 2.571116134197261, 2.7668068944778708, 2.794669305057959, 2.762629837426221, 2.768670136126461, 2.6548392960702736, 2.4131270667211218, 2.2301362100205555, 2.334516791016974, 2.1529289981379685, 1.860781614921699, 1.726684467359731, 1.602120009805918, 1.2006620553581506, 1.0133360685026178, 1.0334247373000396, 1.0116039488347768, 0.7591660607576156, 0.9733150758145503, 0.8324784814781124, 0.9804143611196922, 1.0487753288971162, 1.2711793459187286, 1.329280313445156, 1.7440560714148434, 1.6942064747008674, 1.9811151041782114, 2.4117679114238886, 2.6976077668210223, 2.581085180773549, 2.916259095925169, 2.9818815027338745, 2.9399645247601054, 2.8528529117070605, 2.9979625911522327, 2.752842337989749, 2.6934441713963975, 2.27301282545757, 2.2653606572695044, 2.0435880656479624, 1.9079787104374184, 1.6559099019241317, 1.439038013806405, 1.3116742531098788, 1.0845509007472112, 0.8810176074494485, 0.9264588941585769, 0.9165320928626695, 1.027376902705308, 0.9895807420830601, 1.1492777899611213, 1.1760620421552974, 1.416830743193668, 1.4403799999060811, 1.7616107707450355, 1.770110345670916, 2.138533994715057, 2.333509657174822, 2.7047563718119436, 2.831958168422347, 3.021593394349282, 2.8602520671503155, 3.107983391910834, 2.9565905496777662, 3.137711944994764, 2.8426738932170896, 2.886105065408862, 2.847237622262212, 2.412526773811702, 2.344176780657319, 1.9232211181803835, 1.8818362034759806, 1.5520858248619942, 1.4451081778034494, 1.298760123705955, 1.126871908209091, 0.9337082937583122, 0.9279914460527164, 1.2065150591679934, 1.180208654609004, 1.370953105591446, 1.3722416363264716, 1.5662588099809347, 1.76607310411332, 1.8491602819069302, 2.1998891536316956, 2.4159915829139655, 2.644634656005538, 2.795345007149406, 3.10055473474048, 3.012887226732672, 3.2196284444977676, 3.186463780581521, 3.134835868944564, 3.138374280021883, 2.920266584963536, 2.757057684284471, 2.599810852078425, 2.4620965208278345, 2.0514922803775453, 2.0089994515256997, 1.8926738402771839, 1.634741177725874, 1.4873445177594091, 1.392018863639328, 1.2631341449354745, 1.0426171442040655, 1.3461451458629239, 1.502162855967732, 1.4772288627159627, 1.4272918121404206, 1.5186969190190203, 1.9450278007818258, 2.0140001064174857, 2.3094837305229676, 2.3353399940614503, 2.6954685157183698, 2.8754496021024614, 3.14184119310544, 3.218816171857903, 3.2486595975601853, 3.4732962588592975, 3.264559689843619, 3.407160692423628, 3.2295572669819768, 3.1272121715435586, 3.1966596718139395, 2.504829279482408, 2.3813091687843784, 2.4296659518024746, 2.195893701766932, 1.919007502447283, 1.8386835918607771, 1.4624971304130256, 1.6511657229146421, 1.5151874037716826, 1.5091617859187025, 1.1923799558717794, 1.51041754907257, 1.5004710135583734, 1.8742817190823198, 1.8295679231751458, 1.9080868792687653, 2.2657743897438363, 2.256578724525246, 2.7484894465919094, 2.8060549641632466, 3.0165706707529907, 3.217147518844609, 3.2838723573822857, 3.5607855926098635, 3.40906907432781, 3.4831946714248248, 3.437008236692461, 3.2925815810622527, 3.0791600913068855, 2.767994659196669, 2.9201410024971666, 2.5036479740055833, 2.5996564615326285, 2.131121622228186, 2.126741722210065, 1.840852603084808, 1.8433825048925434, 1.616019334739165, 1.5598768381774513, 1.3739046964563835, 1.5884638212371511, 1.6726301927698983, 1.7060794453967605, 1.9445871634813985, 2.052351074970365, 2.3324807466541455, 2.437123919676108, 2.7555369270757484, 2.8858096957258135, 3.2662705574917554, 3.205566028562012, 3.3782361830468837, 3.433059869759918, 3.5310897186072423, 3.544266387717889, 3.7830728472028774, 3.7233295903923462, 3.398199205427113, 3.412110156465176, 3.0838875514098216, 2.95162504160607, 2.857128703258226, 2.471820002173, 2.192536811539776, 2.1522325447352912, 1.86063515578468, 1.812588974122249, 1.7468126097915395, 1.7290603645091664, 1.72171495675378, 1.7197393712145934, 1.8553935796623804, 2.046460606865911, 2.131681934422485, 2.336872390034427, 2.347585721493892, 2.6763373074947143, 2.9148977859322236, 3.3178111718528225, 3.061514239840454, 3.5404495408521894, 3.645262086285357, 3.76404596935455, 3.6120488086797935, 3.781136938381755, 3.9170102431090346, 3.5389935925219445, 3.6107043524789626, 3.331176945392337, 3.380553134106245, 3.1004246273380733, 2.857439069785498, 2.528275735216867, 2.3893606193872765, 2.1869071831730036, 1.9807532167447917, 1.9316602155233036, 1.6692944527752758, 1.8970107559576181, 1.7883304449078223, 1.809572531339642, 1.829819190762399, 2.1474414721014563, 2.464264849109306, 2.4333111888718473, 2.8110723746628254, 2.950641143812839, 3.095363277675288, 3.514391572205603, 3.3364880611785805, 3.685768735330944, 3.7640232393730466, 3.9195349547469247, 3.817153270943022, 4.013343526991877, 3.7253678882899983, 3.865288309449982, 3.624989279021029, 3.563516410164474, 3.2636174572543815, 3.049140042129139, 3.085779849094319, 2.89182871757143, 2.4132369360876846, 2.3700363729292615, 2.2863378241285197, 2.0923237237648613, 2.0259868147813473, 2.0754784702512596, 2.077000475704538, 2.0411519809401684, 2.244450454078565, 2.308727812154628, 2.4744017585260165, 2.635032700450984, 2.849506676058378, 3.1690495277556883, 3.20706238735752, 3.4083717677574352, 3.729924257911879, 3.900175727621061, 3.9119422086892377, 4.2681955223915, 4.050652896851043, 4.046743807332532, 3.9811273772729576, 4.051128670888681, 3.990265680472797, 3.5581459755616924, 3.5501426140316963, 3.2900290650754864, 2.9798163871379404, 2.8798718476636327, 2.533262847621632, 2.4746712439232637, 2.2646052620046095, 2.2330371234331308, 2.2169575402208013, 2.3473308240261486, 2.2361300988017367, 2.2082383531143286, 2.427317210770179, 2.3720930332406693, 2.8481725661092994, 2.8862811598710154, 3.3747668362683005, 3.4968882524102627, 3.6307496279527616, 3.7891864786310507, 3.9508939247297192, 4.100879488872534, 4.242349555831146, 4.26632458806309, 4.381519470603799, 4.446903481769016, 4.240692524718218, 4.2311063029819955, 3.8433386525663242, 3.8382136128778868, 3.6177870964346512, 3.265095645344714, 3.1725515898410253, 3.0848150911859715, 2.548198911168489, 2.6405594017866814, 2.491108594881738, 2.477604488180917, 2.498156379427505, 2.479091479264021, 2.553079247986464, 2.6639924999283844, 2.63916714921343, 2.596502134603023, 3.097388952920652, 3.1392250497310723, 3.488077796083926, 3.5384126472134594, 3.8172618161434824, 4.1425060351753284, 4.206819025850158, 4.217470342832326, 4.343049477365114, 4.6423402431305725, 4.500413831639685, 4.463950885749775, 4.354318530708202, 4.143025922001284, 4.1146068298207155, 4.085503338406096, 3.6867716122308605, 3.3700106105326637, 3.4315267921124977, 3.168214657224201, 3.0039409413680436, 2.8755326531297136, 2.5504393566131816, 2.6406207860148334, 2.6466909719397163, 2.633755566964121, 2.6933643015062985, 2.91680812523413, 2.985959819963519, 3.1778876827320715, 3.297271991878326, 3.271313095687633, 3.716104428938712, 3.96525728926078, 4.1555598833281, 4.353993373130441, 4.540750611966207, 4.736913364463717, 4.6382649459584755, 4.741757758953844, 4.909171865156796, 4.542026413762746, 4.583265859786234, 4.262266309959893, 4.293015424510063, 4.143738006534683, 3.751607261967549, 3.7483194669385798, 3.457411879799588, 3.4442580167869967, 3.216838063200115, 2.977930648336974, 2.910413238299291, 3.0264502659331782, 2.844213062115968, 2.750695911499088, 2.844815596430095, 3.0553057272081277, 3.3382544723883383, 3.358544683335258, 3.5023158582656366, 3.830538725206997, 4.084601298246313, 4.320458038397024, 4.301225017710041, 4.682228581982899, 4.825158245736309, 4.866549835348141, 5.0940015188544425, 5.0510549944353755, 4.90037185667388, 4.969366073746992, 4.629392862015499, 4.630401752691477, 4.468195269293597, 4.385088250303972, 4.420521299129125, 3.88190708354224, 3.8590825884005326, 3.6656112387800657, 3.2385110660884853, 3.378925896517653, 3.0859399629428217, 3.1109514227592183, 3.337969954783095, 3.2033943685068706, 3.174414088223575, 3.4103219426983444, 3.3747210315268004, 3.8237082367192383, 3.8628893412379326, 3.9020472021020938, 4.334101993716554, 4.5328720992711355, 4.831144251235428, 4.837334018897636, 5.126128736981543, 5.123195827996095, 5.2415503500911536, 5.367722285236389, 5.3384967421133585, 5.2805329103707805, 4.961813801406701, 4.9188639868350625, 4.7475209144475405, 4.644504654706805, 4.282747465899474, 3.962865025775548, 4.0023399421174695, 3.8757536406193713, 3.6243513622229595, 3.368132298108051, 3.618117853793236, 3.3808913286547315, 3.315201133809258, 3.548103709673126, 3.704761905101322, 3.5162262948433916, 3.902184454388314, 4.175384273330188, 4.249788392560479, 4.497676107093304, 4.691272939265062, 5.068287519117705, 4.995170664880253, 5.242673731951084, 5.61152694097339, 5.422785845347451, 5.375400632492504, 5.528084394014164, 5.592114597355091, 5.393094365541602, 5.223145144948556, 5.164764193096968, 5.182195526275186, 4.710095924513126, 4.7387694923573545, 4.371527696856552, 4.054590561663478, 4.139298121345789, 3.7990889809796076, 3.574782339562668, 3.697197245790875, 3.6024214629368525, 3.856849043876434, 3.786712287723909, 3.805232058866528, 4.095284706076872, 4.1892526518346545, 4.425383187583221, 4.372999935620109, 4.720109843167393, 5.07811202317136, 5.132980122620637, 5.385581626619808, 5.691551314231655, 5.7678703996295875, 5.909055599603471, 5.825659287151173, 5.742885105850402, 5.894973958472645, 5.659970984047883, 5.413612114382126, 5.5194735203856204, 5.1762725418101185, 5.0676277788266315, 4.795527661020621, 4.665575750231683, 4.449262731590835, 4.1949314441314005, 4.060437952830448, 4.076930084306176, 3.9678721204440754, 3.950924024264612, 3.9485857556072226, 4.049380021124793, 4.050017931545517, 4.412117829944718, 4.486225003912556, 4.770923972271533, 4.975353414127123, 5.2258062324159065, 5.426641743073594, 5.669921245897637, 5.712855850802061, 5.937684795526548, 6.053904306908221, 6.028890938885746, 6.035946795153901, 6.051390634967674, 6.05635848985903, 5.821022769865277, 5.880181678665869, 5.553515627802982, 5.423113920928374, 5.28961589349074, 4.87272967389987, 4.962782828182607, 4.5617415892675055, 4.632374714920415, 4.434413292567661, 4.123446251603952, 4.253201134814068, 4.1993965525231545, 4.4961482081051765, 4.450424833947621, 4.372261623949437, 4.8625359954106395, 4.987990086482266, 5.189607926753141, 5.3745321690790915, 5.454071941590731, 5.968284069964122, 5.981368893928216, 6.317479642268029, 6.309114636321909, 6.383255488719043, 6.280814715110883, 6.3893096400541936, 6.553906323597923, 6.41286422416225, 6.2738290402622665, 6.128531547187216, 5.892378049956201, 5.6508790307297465, 5.415991514478416, 5.249970952664744, 5.1210221526625626, 4.8610149271965355, 4.799306154019838, 4.700020884333804, 4.608657172225809, 4.440837162979482, 4.523652579001489, 4.680726065198343, 4.5935865821981325, 5.05771138127666, 5.264799675410844, 5.4238148687580106, 5.586296567974484, 5.6605939843844695, 6.037207311973059, 6.357105440562294, 6.292011127607853, 6.82017069970965, 6.770113414156362, 6.665072438687101, 6.70896058990058, 6.7531151467151, 6.747615686574501, 6.623174919590759, 6.251696747365178, 6.241948874426763, 6.1889696349005145, 6.011902004575262, 5.881469679286703, 5.527654218040454, 5.426143365127559, 5.2517537822781275, 5.037145550456796, 5.089674147448822, 5.023907959448229, 5.200046968075967, 5.112749757823521, 4.933269980636046, 5.303858885738602, 5.226319978563547, 5.705345820012123, 5.73861364445113, 6.022913681060317, 6.349244205511253, 6.485523175568708, 6.725076930512345, 6.760504993989173, 6.882336060865364, 7.090950404560575, 7.22483237040029, 7.174960805389742, 7.330379862841308, 7.16040501961628, 6.970282753301352, 6.847066557590275, 6.641044547430871, 6.556671174442661, 6.271596153056116, 6.130262041068123, 6.070405567611841, 5.786453972273613, 5.584494760791433, 5.448704223526626, 5.522325895884299, 5.391357854840706, 5.434781355430654, 5.352843477589814, 5.373118403274784, 5.769304540711742, 5.916809513156832, 5.901068239626913, 6.30632998992638, 6.585448699685431, 6.636338932968602, 6.888533277194577, 7.284389726275188, 7.393007118216762, 7.333870624839153, 7.444404561465422, 7.543976151794525, 7.606861597566986, 7.602262307729259, 7.349957422080618, 7.301082372662988, 7.028482598539871, 7.119071228283459, 6.857695669695399, 6.631204806909445, 6.411952271607985, 6.250702405294275, 6.138538824360546, 5.837214195844692, 5.775547953232107, 5.679963146347241, 5.5006034097330305, 5.9569199620040445, 5.912654330651934, 5.871892915137262, 6.1236010387858775, 6.162289878831963, 6.532939589800307, 6.94367479389286, 7.026853289011004, 6.959347193123054, 7.218284813699769, 7.416937217027438, 7.689084032251215, 7.854502793054083, 8.092124271359133, 7.8613595041915145, 8.000319812284832, 7.6907944398417465, 7.766269164300342, 7.61222609932146, 7.378112657222724, 7.490076219988048, 7.15574415205638, 7.039866166053927, 6.688180918546236, 6.761739954612043, 6.388163463844723, 6.463659880667538, 6.3647831183537305, 6.22944553134233, 6.2292676251685535, 6.128309807158441, 6.1472481903737455, 6.449556895876443, 6.610025262974807, 6.73894254431343, 6.905263098776783, 7.125873474250928, 7.293558693050151, 7.761385318358064, 7.806239011569492, 7.96840814984386, 8.282512446706868, 8.286366724973028, 8.357257511822862, 8.563840817650537, 8.324110467376327, 8.274470979586567, 8.098468770865049, 8.153211659216392, 7.935718516644286, 7.998286458724901, 7.558020027156618, 7.484177042517838, 7.140578614783644, 7.133391177923964, 7.045370044296417, 6.727866818294591, 6.6812537906291904, 6.636548006273629, 6.689761477163822, 6.811446784740722, 6.743702060046953, 7.04468854807044, 7.128585768938523, 7.462818456898466, 7.5558614588993755, 7.609641282810405, 8.051242717374548, 8.202923294607404, 8.37881613247138, 8.63873906466066, 8.656038829512104, 8.823411179297333, 8.856528389448293, 8.997834604641552, 8.873487359963486, 8.853274599841205, 8.749090992128417, 8.641507171183767, 8.37731871518212, 8.359230306700022, 8.14666417745149, 8.0346670422936, 7.569796291450286, 7.509798271322452, 7.191022982321126, 7.129132168031933, 7.246966518146954, 7.134932239051274, 7.069195774973291, 7.307695793663823, 7.370461422698257, 7.243250919573505, 7.771878522243077, 7.872200621090636, 8.033718163907341, 8.184617227089465, 8.594738763241082, 8.719311520803148, 8.952100814116566, 9.14407841249915, 9.328355972791877, 9.40190468013558, 9.578521180578655, 9.2582957736787, 9.342830264633303, 9.430245739135449, 9.4120883511805, 9.174414317644764, 8.935673556497747 ]
[ 0.0877017703895403, 0.48854086171892624, 0.7422118647921182, 1.240837965859638, 1.4398724008791925, 1.8767382625022697, 2.104452866105821, 2.4488540015834106, 2.549515614829119, 2.7605480103513576, 2.750023951562807, 2.856079388174684, 2.9961227163254005, 2.6260266874122014, 2.6964525692699306, 2.658962883142233, 2.3891167908698003, 2.047782304800082, 1.817259289596498, 1.3415623720124037, 1.1382685657018947, 0.8218651170948372, 0.34827342046545534, 0.05078864863445309, -0.5177343855916592, -0.8833076561245141, -1.0176178217572835, -1.1471655173500768, -1.6478642609821228, -1.7893339145794034, -2.3460611015583783, -2.1155723857827216, -2.2973054395379497, -2.0648001982353557, -2.1490789575209712, -2.1251191699333587, -2.042100743854817, -1.66296683028283, -1.4179155642527004, -1.3449214132745198, -0.8264116226945418, -0.491676972147183, -0.19233152550356536, 0.2518121860755157, 0.622215850753893, 0.858294146333276, 1.386652470865351, 1.7110421641187337, 1.9651323486213268, 2.3154749486819357, 2.511747482316603, 2.745570492233941, 3.057162466651841, 3.370561142426965, 3.2225036348128575, 3.2684159722896977, 3.561722286017554, 3.201736926656094, 3.1734044965731187, 3.0436975171561125, 2.750316326953694, 2.5001021267849484, 2.1224433707558488, 1.806290857098942, 1.5484937186577297, 1.025363360484302, 0.9100353321204797, 0.20915945968643113, 0.03865250541411336, -0.44462609327267555, -0.6238014840367131, -1.070974676212445, -1.181597594013356, -1.3842581370840963, -1.5541765523097695, -1.8216075986765115, -1.6976395304324556, -1.8635393305895116, -1.8386610136120107, -1.6901192685841429, -1.7663800939320975, -1.4331757603851676, -1.1349516618408435, -0.9487099929741672, -0.5770832107383682, -0.058871312604383, 0.06390335722566992, 0.6097863734076967, 0.8607183318081749, 1.3250283304883566, 1.756210880930146, 2.155461764237292, 2.457740217392552, 2.8122584417857865, 3.0013734817542175, 3.21547825308313, 3.554951349440427, 3.4101206582070245, 3.643329514098394, 3.6935866269540187, 3.7157106455638362, 3.7125820339812052, 3.514499403841979, 3.2931603331516035, 3.1728939564118464, 2.8502496957415353, 2.530938165951197, 2.344293763992867, 1.924045932242497, 1.7198773935487202, 0.878346879051177, 0.8222904307045341, 0.4682376795107363, -0.1062092136783058, -0.3844829029815929, -0.6693078807462991, -0.9918102198727476, -1.2082736922986044, -1.024441660971917, -1.4854463280858754, -1.504265432936073, -1.5486853650063022, -1.5444012439480725, -1.5790110167150002, -1.2299206526058422, -1.1405709197009724, -1.0543917670289937, -0.6035561375218829, -0.2736478583379766, 0.15685740058437972, 0.27435267036012256, 0.781574604824238, 1.1170763451660308, 1.4939945998780062, 1.9840818765229722, 2.2859073135763506, 2.726760291616165, 2.903229332504069, 3.2583286153822564, 3.539424332950953, 3.744364369004503, 3.86275596929456, 3.9281991354463863, 3.9082837403782293, 4.1031989128749204, 3.889315904684021, 3.624826157327771, 3.361837437446901, 3.451271527085387, 2.9341204107503116, 2.7766215291555327, 2.3035904127840343, 2.0792146528075017, 1.7221769252069865, 1.3890801399223618, 0.9177378930101514, 0.5436942606961408, 0.08667735323639919, -0.16824256260043655, -0.44539747578783306, -0.7154571904212911, -0.9650773081803062, -1.2379694835681685, -1.392127161754499, -1.1908215780946423, -1.3070326141160458, -1.0990201387031546, -1.2090240009780306, -1.0437128312596335, -1.0116376504638593, -0.5384015838829858, -0.592225640679777, -0.028930030037045154, 0.26172638897581035, 0.7637148096747677, 0.9876685495152011, 1.3955583795848259, 1.5896532402330232, 1.9769856224719276, 2.5711634792718154, 2.993246964925787, 3.223720215345779, 3.460498314554399, 3.742368459189486, 3.922507809393316, 4.109762648276213, 4.035114141006902, 4.189990250567025, 4.040958429806681, 4.175390516650407, 3.825389209141974, 3.731753491692698, 3.5866685881353573, 3.1256645731752792, 2.870653101629934, 2.839897226717558, 2.351589839531125, 1.9163202708845544, 1.5646379375767905, 0.9467184803026015, 0.8047006560066353, 0.5774063946123303, -0.0045948773164673565, -0.08026349834009305, -0.5802449708137672, -0.7515480262539401, -1.0809124447799658, -1.0364772474829427, -1.1452201099344224, -1.207740979763318, -1.2416374431203598, -1.048315540297109, -0.9957788893755821, -0.6341418854514157, -0.4839906958312459, -0.2817024800034147, 0.18008212197225107, 0.3801939980365453, 0.8869447518329887, 1.1836542841359785, 1.3713536377775604, 2.0114083290755365, 2.3301041216624605, 2.7583252028782868, 3.0690326565363444, 3.384584420866017, 3.645457770207631, 4.1666226349453686, 4.121682295659415, 4.03277579661954, 4.146290759946209, 4.373152992750881, 4.249993545907795, 4.337198956486733, 4.13161051871075, 3.9560303307472893, 3.5986831523403295, 3.478562677859994, 3.132310470417902, 2.685304497568561, 2.326356039167317, 2.21003470458845, 1.71792210466819, 1.2393209575315547, 0.8470606937595289, 0.5420926965291466, 0.23204716326104108, -0.23973218309041625, -0.38957351925983197, -0.8124856455810475, -0.7941564072690414, -0.7798786122049818, -1.1366300766757875, -1.0467021959399856, -1.0253325546409233, -1.0321580166369455, -0.8280099511393996, -0.72740530570245, -0.4579516524972815, -0.06873910425695091, 0.2661026910283835, 0.5370252046699935, 1.069940831224051, 1.3905237804832895, 1.903901523227082, 2.085266685937953, 2.374603641099353, 2.8276493662306676, 3.392403564887537, 3.405185080128912, 3.8689372507441253, 3.9179978474822876, 4.174851741926784, 4.301771296690848, 4.347392544059433, 4.54968046783938, 4.592947743659454, 4.4616839905326104, 4.243419395486803, 3.9109529527883224, 3.844768140949156, 3.62448635144511, 3.2464795118496763, 3.0520650137856875, 2.5399000667654237, 2.1240834721246653, 1.899036812990346, 1.502998683741321, 1.1897180526364315, 0.7310367767731756, 0.25991314593546777, -0.22749168423858696, -0.41341141154362104, -0.5303681011274709, -0.5244327544057208, -0.6693178825412323, -0.9137380221703458, -0.8188560602181769, -1.009432681157481, -0.664496695930628, -0.680359212389724, -0.4007970388538974, -0.178249576929562, 0.08992641381804506, 0.23527908404026832, 0.6386526648240818, 1.1681332628164178, 1.4946159204880543, 1.7250887362376723, 2.260451831776419, 2.5002777058566985, 2.8452057631417778, 3.2537057475796445, 3.6205555144608845, 3.788397774184389, 4.234587208366243, 4.26495213791045, 4.472937613787291, 4.608231432317551, 4.780584840505232, 4.632523831468832, 4.465145776331112, 4.26616164370766, 4.058448405963173, 3.8575422866814706, 3.6708069774064147, 3.4999013947820106, 3.0298373986847684, 2.6267921050292378, 2.3184043258025935, 2.087816434616841, 1.4631582194302335, 1.2076429555945634, 0.7640089626725614, 0.481499410372425, 0.21600261261045836, 0.01624431726848438, -0.35841871242984275, -0.4248577526770837, -0.6329313762030212, -0.8853321619802045, -0.8028003952654671, -0.5229984482701168, -0.6843002801108669, -0.5685938972672494, -0.3826502207410011, -0.1645762591006428, 0.019279862990004365, 0.23851631893080694, 0.7325801977807707, 1.1396872523226789, 1.610704920482411, 1.9076755627802098, 2.3467258251789094, 2.597713058551181, 2.9110138208088525, 3.461188961612355, 3.8058442909326784, 4.117303771143367, 4.376319855263799, 4.578179806531567, 4.655302518015962, 4.616811925546644, 4.734739907563386, 4.651528428783044, 4.583159381549346, 4.514588700607825, 4.420780378012035, 4.142302622078751, 3.7954219429402114, 3.4995823057519746, 3.1890246450861497, 2.9107660523122196, 2.6025567956208375, 2.045674997860464, 1.6277035394673565, 1.286696278075256, 1.0121518739366122, 0.6218149329877413, 0.20889889387095453, -0.01252136079275475, -0.24438094655997375, -0.4965601217743042, -0.6334788997563794, -0.7713037919873885, -0.6932456729712069, -0.5381611587415083, -0.4673601495236426, -0.43666671162026416, -0.07000753689774089, -0.021419872489762983, 0.22444839980292008, 0.3717770520026733, 0.9306492457702374, 1.1857151127574896, 1.8009943125475394, 1.9202176032470932, 2.562416426676952, 2.835864640654298, 3.0669460745687114, 3.359571501613012, 3.8769895797664367, 4.026221449473947, 4.158014303885272, 4.74353094606944, 4.7727522278502486, 4.658802523641295, 4.624197955003115, 4.901361115825757, 4.570356952505305, 4.5850506228726795, 4.437723523762627, 4.114590485544664, 3.7983310902875442, 3.3993010591761292, 3.298588223922491, 3.130575292544816, 2.4016295461137314, 2.032250846849709, 1.824565827516019, 1.125877764714651, 0.9284494994785111, 0.6886691202824629, 0.2748873456752187, 0.13531076287309635, -0.10786270560489888, -0.3240825380633071, -0.5477045066791932, -0.596122234610873, -0.5758653893713419, -0.5359196625655439, -0.3327526411103201, -0.26783125985699346, -0.19321210460035296, 0.13288988680682076, 0.41373953263652224, 0.5954871579943559, 1.0601301516222397, 1.3426235713683383, 1.7756221806871741, 2.2358978274471037, 2.6265557924262497, 2.8185597618813265, 3.160541290014547, 3.7934687706331554, 4.108208956221773, 4.281563243026768, 4.415535050315686, 4.606391686606086, 4.6781918271748735, 4.885354280469731, 4.8841727198611915, 4.86445006227208, 4.681477542257996, 4.76131772448304, 4.5297292709110994, 4.30264841377962, 3.8084471821208354, 3.5287628001649036, 3.2337463679925427, 3.0607852659706176, 2.5582527457490047, 2.1191274013654864, 1.9029107167827035, 1.427452810172917, 1.1346493474780033, 0.6555644292128127, 0.4442293156713685, 0.30587127625277255, 0.0632310315412989, -0.32687253298170493, -0.4118464508903391, -0.38683351236280683, -0.48825893716033586, -0.435585588838369, -0.25145380988003385, -0.2337989874079417, -0.13018932972652836, 0.286340802712187, 0.3521373743347596, 0.7423873783110423, 1.027328225887603, 1.3298936775495964, 1.8190000785776999, 2.223587496361312, 2.5812811113195706, 3.0878723752307002, 3.278163184724778, 3.7340866952654186, 3.8909713629443274, 4.530456219583873, 4.462025804020194, 4.55627744001966, 4.835505003273224, 4.9690984203499005, 5.0676441958953875, 5.064292294222476, 4.942036014315035, 4.8334244292963575, 4.678740157318056, 4.365349633177995, 3.9944534363499145, 3.773116212937051, 3.35575435877183, 3.1720169998281276, 2.8109471894841978, 2.4322921105490263, 1.8057520815384906, 1.6491121087269227, 1.122831145555683, 0.8767916003888462, 0.6118568233445965, 0.11042918032628282, 0.10691550723315452, -0.3213035696998684, -0.323612110113654, -0.29024191246302244, -0.2847283834501958, -0.310786153894754, -0.36749147549539035, -0.23722186667786765, -0.007122158835428931, 0.24367550464575816, 0.5991292119139848, 0.8150887194585368, 1.1156182627864797, 1.4896290619229604, 2.018877439291468, 2.299114636901952, 2.834605316684619, 3.1586582633146354, 3.377555266656069, 3.7287555443497826, 4.077181891855707, 4.352831410714032, 4.719162309388409, 4.740317180977326, 4.9462482525250095, 5.056374679886981, 5.12650959494764, 5.080986115216962, 4.996270149804949, 4.778662859333053, 4.607673087247182, 4.442755308789154, 4.1292685116572345, 3.7484626621458474, 3.460939979423553, 3.1617292337460476, 2.88699763533761, 2.2892208679276562, 1.8879008233286985, 1.6959734254215824, 1.216063600026161, 0.8316803461913296, 0.6034515102830653, 0.2400902955075377, 0.3165677923539425, -0.16888690857979805, -0.20998800440866194, -0.2618602379862929, -0.24881531442074215, -0.4261050124897543, -0.19270372895380491, -0.26887879683405685, 0.11018479778197939, 0.30428649532337776, 0.6581912591146957, 0.9186867413882506, 1.221505819473233, 1.5926238378208837, 1.8302130638349574, 2.2823501642073087, 2.9045127471166774, 3.154173373373374, 3.5681812470056737, 3.782079018157887, 4.245287855597169, 4.408893120346108, 4.530310232195751, 4.85671234802273, 5.135373419001078, 4.887149442907576, 5.200678351311098, 5.120831019599387, 5.287493612835804, 5.127600775947158, 4.5410518916668465, 4.628099972413808, 4.181214493640473, 3.894432928713676, 3.5195148662198754, 3.1468788296699595, 2.9721239040038667, 2.2200249498731797, 2.003429258633279, 1.7593385707780265, 1.1246091203545716, 0.9646720058515118, 0.5554768919877273, 0.4241007719953712, 0.1714815091165351, 0.07180058773868159, -0.39137174947942427, -0.2014610368306341, -0.349872879764121, -0.1048721817844327, -0.2144685317273283, -0.1188863435399132, 0.0914152601505209, 0.4334624900059388, 0.719127020428417, 0.9562723098183809, 1.2007074704016536, 1.5433547540204007, 2.1090039304528663, 2.4815591195494577, 2.85878289039663, 3.357271464627078, 3.4859432480349732, 4.106886976418201, 4.257330933925868, 4.451815516963274, 4.734213791588536, 4.81151726035889, 4.969756576099102, 5.148726920284296, 5.271170839794548, 5.101263865166144, 5.30996885114149, 4.960869617507595, 4.724440217395751, 4.428874966991151, 4.235691310835267, 4.125661117922522, 3.817094028864387, 3.345833633961301, 2.913560959890163, 2.379420205225964, 1.8801808326884641, 1.7778142332437563, 1.3557141525917435, 0.9997575567014221, 0.7825538312358962, 0.333127222496789, 0.37850382519388226, 0.23024039879945152, -0.02534625507243811, -0.2099136504268458, -0.27099807675015797, -0.21686419899847442, -0.07470135754865159, 0.12686709915728958, 0.2542090559063231, 0.565369999678593, 0.7668077533352999, 1.1239649517555477, 1.3571653037652622, 1.6083006238296456, 2.231159291568269, 2.7087999699387253, 2.9082809992996994, 3.2054443241343487, 3.6736273157281136, 3.9349581596596757, 4.2879507786571684, 4.572084162366483, 4.725371239470898, 4.920525448347019, 5.126495820191545, 5.202254248183659, 5.312771751173142, 5.261242519904023, 5.218357700139144, 5.013929591734665, 4.767059116032036, 4.5162095692292645, 4.450033923578282, 3.996362319749682, 3.6450154941933106, 3.4759159881504664, 2.9321486882635486, 2.3684742709623388, 2.2227712529578163, 1.767274751515879, 1.3863159373574512, 1.1034154558592055, 0.6006322450590502, 0.34324516127093174, 0.24827082520222038, 0.1616748523800021, -0.059440607299756754, -0.14960554178116137, -0.1503001172614863, -0.036971063365196066, -0.04307980791599019, 0.08018169126092825, 0.21248384970485784, 0.45893912283259003, 0.7878152919765052, 1.2101976727788446, 1.4417009522939201, 1.6993913387412263, 2.1298813183093257, 2.6584159350639083, 2.9438442646968337, 3.1789394412569614, 3.7269607710515524, 3.963182704475451, 4.227326382093662, 4.629678915312099, 4.774729659770773, 5.131614067202497, 5.200832466719068, 5.414820514766508, 5.349094041238144, 5.243289634313174, 5.165780910058534, 5.051175750072787, 4.956571573131046, 4.536014948101192, 4.438198186956509, 4.012863737309091, 3.992233315094268, 3.4632641026120106, 3.0965985748574303, 2.6537030558145056, 2.1010739610370317, 1.8837713033252894, 1.557208903206487, 1.1195771416584293, 0.8567733887231996, 0.6510661239316179, 0.36389693666016554, 0.19086815933598195, 0.07712810232515782, 0.06194444423752843, -0.17647556246791873, 0.12459041855766162, 0.20297070529136163, 0.08577858877598454, 0.3908746310450822, 0.7352683237013029, 0.9688725027168781, 0.9615627757922116, 1.4570071989756679, 1.7847396572218865, 2.2996496203349373, 2.6962124944972956, 2.871821797809024, 3.300484396112922, 3.5801000230438045, 4.0727669576271435, 4.3676120093825785, 4.721985732955953, 5.093794452387393, 5.131794597990713, 5.216809432264181, 5.4159506770266574, 5.334627962642829, 5.330639243084023, 5.290029902920028, 5.024271032802198, 4.932625220236872, 4.656766291318936, 4.548165549231042, 4.058558488642209, 3.731056058550887, 3.3938108356212373, 3.0100536031604963, 2.870563591840377, 2.4257527814299586, 1.9874798838015315, 1.5338794040828225, 1.2264705959629572, 1.078352461039361, 0.6126500225800366, 0.30067711663002, 0.30036688475385726, 0.05574649593187668, -0.02461962803934209, -0.06168933089952408, -0.031290503386144225, 0.11212757896528527, 0.16348389339371353, 0.4069731636503483, 0.7096522943907956, 1.024489327761005, 1.0946985562375555, 1.6258566926337452, 1.999613840943468, 2.391279926311355, 2.6575818653432197, 3.0170407929916507, 3.267693495261606, 3.7984910574533006, 4.310916207189282, 4.479026101787104, 4.705300338119164, 5.022894156026435, 5.038122903489778, 5.2713952423761254, 5.469252203743385, 5.478086762057042, 5.35129195258518, 5.503942220659988, 5.050568064868268, 5.04816991333919, 4.8748598605208695, 4.644728777033284, 4.227561215811017, 3.955535122265687, 3.519253589048079, 3.309182714174434, 2.78945495913899, 2.4871767133476284, 1.876696234332061, 1.6167463380759743, 1.3401893544642238, 1.0266251939670454, 0.6396557935540756, 0.2745927515605008, 0.09492947390137874, 0.03644834309068122, 0.32300538775099946, -0.2915941189383417, 0.018231490878348636, 0.08347506801559168, 0.24827162102389877, 0.41765311230375224, 0.5566730879572876, 1.0277647864402928, 1.070732012523981, 1.759485230380161, 1.980018361169189, 2.222417755538805, 2.631940688473068, 3.2036521075472706, 3.336233521184663, 3.8418567269006667, 4.178012948442613, 4.49036789785964, 4.830105137002145, 5.078235036531226, 5.247190979541466, 5.460112318585336, 5.463100249052371, 5.421865991820775, 5.33827179970927, 5.382087586186595, 5.286091591600523, 4.890889494230577, 4.885500942539749, 4.485159541251754, 4.176536883750848, 3.9453791469563604, 3.3603302080824444, 3.338480986365039, 2.8997427475532436, 2.3035849021809405, 2.0246265157246426, 1.6944679494781978, 1.2622329054065926, 0.9744807118876407, 0.7345842242165534, 0.5096034987727438, 0.3074129857797092, 0.18622648490224367, 0.13078333844464296, 0.027075037654223984, 0.12664052705109224, 0.27778358897058086, 0.33688945051978725, 0.6473145296651943, 0.561450733140922, 0.9142974186338372, 1.3167381527257647, 1.6430210732603745, 1.9423322723874654, 2.4208237988788928, 2.7677190133104475, 3.2527322918191572, 3.410351059258193, 3.8883931047923133, 4.1826603181934106, 4.628023468373237, 4.87650819273319, 5.012123365450088, 5.3526718914233795, 5.392794285558219, 5.36022737387616, 5.494096554320887, 5.730945015568461, 5.404892453522767, 5.318982376614686, 5.144852046519311, 4.885474486461615, 4.77435778062731, 4.388892494647147, 4.044639780367254, 3.59245278152737, 3.3124290868150914, 2.8268725845707223, 2.5142857600345168, 2.298864375178923, 1.8841323275013555, 1.3740205830903092, 1.0949061296575657, 0.6851261128961539, 0.5342565182894381, 0.14576461648738048, 0.31908710155838194, 0.06525040203932271, 0.09746223022800524, 0.08404763722593414, 0.3095694070186405, 0.47394737422253774, 0.6593925367083046, 0.6187612104973802, 1.0825136527482264, 1.2374459955398502, 1.6776858731328028, 2.121173025223748, 2.377227878664436, 2.8126577238634374, 3.1169006288424526, 3.6691947946422334, 3.9048792333933133, 4.2175506850211475, 4.620285290769719, 4.958056080597133, 4.965108777923485, 5.3429364631293685, 5.389942709843939, 5.59630264741895, 5.51298353483561, 5.458351242073424, 5.398696458464629, 5.357924378224783, 5.2159080532527815, 4.8738157436690965, 4.67331592949475, 4.297892670514109, 3.9888579164004496, 3.6169959884944376, 3.219149914757138, 2.7826960627733093, 2.511095887996369, 2.252505763173862, 1.7831570666042822, 1.4023814638708578, 1.1993835926905787, 0.7917185246429947, 0.6235317001232008, 0.25799352743553433, 0.27237507097038366, 0.15152162262126684, -0.034781930408284145, 0.12861295174579904, 0.01531100571729005, 0.3213671234062433, 0.6106405133777326, 0.698476816210455, 0.9884881960574974, 1.2148292814708503, 1.7337010945002413, 2.0224387312087955, 2.441019903078084, 2.947192194101359, 3.1204480631207216, 3.7281398977348603, 3.942786285803682, 4.417938310257496, 4.616982537185501, 4.744714783093421, 5.02279816657467, 5.313635655596032, 5.316267990118251, 5.625650874434415, 5.690123267397611, 5.439974183230898, 5.485073063457089, 5.376179186337134, 5.2755728522355, 5.021839970439237, 4.671161142990564, 4.265826822287332, 4.071424389725169, 3.6984622172683768, 3.2529799699687314, 3.1615235272211653, 2.5807928835922187, 2.1191523524598046, 1.7634233467982254, 1.5599942228221353, 1.2820679961001105, 0.9467421588832889, 0.7497091774675169, 0.33323645613854364, 0.3114261254046024, 0.11257162895616224, 0.27431437740714865, 0.305272516329852, 0.19304293120073407, 0.36191858210611083, 0.5060615965943249, 0.852603624432439, 1.0900610234269974, 1.4110361322874467, 1.7123542374081342, 2.290015654661164, 2.5809759665190932, 2.8577551780398522, 3.1072587952967665, 3.472054155864893, 3.8464030966553815, 4.396634444160134, 4.651979079052159, 5.071683844243662, 5.259156568679594, 5.157510747210242, 5.4414606793225575, 5.446092730373523, 5.609457686735069 ]
85
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
First identify the trend component for each time series. Then, check if they are equal.
Similarity Analysis
Shape
422
null
Is time series 1 a lagged version of time series 2?
[ "No, time series 2 is a lagged version of time series 1", "No, they do not share similar pattern", "Yes" ]
Yes
multiple_choice
[ 2.0541384914096885, 2.399957565415727, 0.8595708968981528, -0.41096521216681237, -0.2911131187177305, 1.595591309732058, 0.8851058751519548, -1.960079940737286, -0.08371218476739695, 1.3345889247113134, 0.7239495181992079, -2.369635463942628, 1.0352767789323563, 0.8648480766860233, 1.4971188355862193, -1.541457683314692, 2.270768937101389, 3.00289695483064, -0.3107378712696651, 0.21903596345046794, -1.0700359852859573, 2.3992419699858623, -2.3609284298724367, 0.10568061086359398, 1.0520873077228363, 0.31724157693151617, 1.4605655572571765, 0.520259590596013, 0.7118703791914573, 0.40410858692106977, 0.9825832459349002, 0.5295199517316791, -2.032229781705649, 1.776207791003685, 1.079987988109536, -0.13639940535614214, 0.5732483123853551, 1.1501051105214568, 0.8276939906667147, 0.580711974953789, 1.6489512199864638, 0.8139592601945042, 1.7110123761658516, 2.3386159245722684, 1.3404233116620161, 1.9627743057196794, 2.4713006820519023, 0.7287355920312719, 1.276159624680331, 0.9194580554558718, 2.2240822247406244, -0.2945713999267696, 1.3463268256158099, -0.4345832185265628, 2.9431100822476033, 0.7067439865883605, 3.15176603828381, 1.997537290356746, 3.8072573541449306, 2.579073735877719, 1.4814592660145984, 1.3378856031308723, -0.6643841262329817, 3.309323474177453, -0.9628874374158527, 0.17464805236494557, -1.1031805602656202, 3.0167828743648584, 2.0381881914872926, -0.530924709931712, -0.23180941483276896, 1.4586271639184067, 1.06341789231513, 0.2937371667192176, -0.2760072603928261, 0.8394716404289837, -0.25589272768652566, 2.6395174184362697, 0.5890387568583966, 2.727895690018808, 0.17742667430276232, 1.9986370066095644, 1.3504826312736031, 1.3454394349223362, 0.40871057558674706, 0.33202913687854774, 0.8147436359036511, 3.1559831835600267, 1.127847443242468, 0.46378602404416613, 2.3329571375417206, 2.9009853306872584, 2.8987509790260932, 0.08546856533093727, 3.479310888144224, -0.5015209846780575, 0.5360227103478725, 0.9943900722072359, 3.017340786653432, 0.7135650256378416, 0.4007652650486197, 0.43133094885736456, 4.027525336297281, 0.7326956203867893, 1.2911315684054074, 2.768275151019071, 1.2450530943078029, 1.6588955275570467, 1.930258695713833, 2.480829552573503, 0.9388512619086578, 0.5843118338015545, 1.0718356908720605, 3.1224498040390785, 1.8325280236021801, 3.0400756897827588, -0.5516084602066965, 4.9047965600241765, 1.9327756508420535, 4.530401148473446, 0.3775513525610663, 3.3830798896862575, 4.067497864254395, 2.3537924196502096, 0.9953306506867892, 1.5243913949652712, 2.3090880990771545, 0.940190711621204, 0.9808150082778039, -0.07217566131715081, 1.558528631611788, -0.08215955564608068, 1.7200984231520366, 0.08000593758416454, -0.4007764207828126, -0.9822303904015808, -0.054509824335015944, 1.8442813906772255, -0.0012959198342583633, -0.9740334482991524, 0.3994156382884779, 4.141361181579683, 1.131015711040656, 0.5889549493474351, 0.711924259428968, 2.5789249952245115, -0.21233748885345427, 0.8956339563128805, 2.8184920775611637, 2.4861752364690917, -0.7953204747042265, 3.0890145303890244, 1.1299120762240173, 1.7658274826241072, -1.0003809209387053, 0.4940398478564617, 1.8429375741073906, 0.3577984432472777, 0.9229115572924144, 1.9892722467837216, 1.8075037199919397, 1.9205327460711215, 2.3173759932484983, 1.7145920682817932, 0.5129749557167942, 0.8011007195290719, 2.407908121556642, -0.04171171949398378, 2.5649657856615327, -1.836907450792618, 1.2400051458780474, -0.029075514589915197, 1.410696614680255, 0.09920969192036086, -1.1839227578935183, 1.7778241782192554, -0.733327860677503, 2.386366631432749, -0.20527514461165464, 2.990076344633227, 0.06385931806951373, 3.1934744689582093, 0.21676910991082138, 0.9928830077386601, -1.163101557752373, 2.331648838267895, -0.18982556137158163, 0.12027927347984135, 1.8815444591168236, 0.570885387152719, 3.6792904880444475, 0.28414883436724636, 4.8924724550568275, -0.2816902322023801, 2.0975735751484734, 0.7441565190490286, 2.096755056970884, -2.0604239062298673, 0.9346943799682799, 1.7704248933671147, 1.7135025442151561, -2.4045758342064008, 1.390247388881869, 0.6623111080812379, 2.5027562684799376, 1.1802704431813185, 0.3661920368964382, 1.6897942445011584, 2.602048716338261, 1.3594086107085253, 1.5437897834468968, -1.6522341795049935, 0.975885566373605, -0.4160170761689904, -0.5201407418469892, -0.2718106788964003, 0.42168298008182414, 1.340258205873285, 0.04302786961942506, 2.0521436064344694, 1.021832344865831, -0.6774907272228793, 0.9394333870678615, -0.036065171595406426, 0.9764809859513897, -1.8465293137572014, 1.9593678569945738, 0.023698585853673654, 1.0938092742183838, -2.75442377758875, 1.0204957954095315, 1.1699272352711596, 0.8318547902521747, -0.18126948536422144, 0.2431751237453369, -0.4284826494199976, 1.7663488700586698, -1.0516025948243226, 0.5048221105408809, -1.6257528990589056, 0.9946557283198763, 0.5225052955858216, 0.10136509833136984, -0.6686006172269786, 1.9477912489846956, 2.2698234941318067, 1.5753943576318792, 2.1383586398998498, 2.7260703240104327, 3.8038672964052127, 0.29687297031837234, 2.625581379121999, -0.50303027832646, 2.0424354471690664, -2.374246645273414, 2.339459746708572, 0.6280956474012032, -1.352335256775755, 2.0677356733952776, -0.06896545598531095, 2.5966997225396575, 0.5823975595269748, 1.626005927562229, 2.0192094840440156, 1.768090597532725, 2.281426547892031, 1.5161000443495198, 0.15241681266295548, 2.6833880067193028, 0.22996870255156976, 3.181699690989218, -0.7222918116634698, 2.6711132658313295, -1.2175347268608598, 4.554994339137938, 0.37037321370676696, 0.25644818902494726, 0.5198423355067107, 3.0414991830996474, -0.3049711462512339, 2.0643555094336348, 1.3773952625321801, 2.93114384719932, 0.5037861578701239, 2.7432740687139656, 2.3287615282718974, -1.6422543792679452, 2.9421344489235794, 0.8325362231461504, 1.7678838912693908, -0.5340382372321848, -0.49655027714308586, 3.456006655910138, 1.599452662336596, 0.9542021154459763, 1.5665086195547318, 2.529224654044328, 1.5524940090083645, 0.6106716658231037, 2.2242413369220375, 0.7680882533115592, -1.2807110729174345, 1.703478125121263, -1.388190845377151, 1.3823976730210763, -0.23033756450708942, 4.114665393825215, -0.29560060717929315, 1.3073149455830357, 1.5617137310845624, 5.05070390174429, 3.513541552991344, 1.9232316134489422, 2.460971496080111, 4.107448987374985, 0.6452505241760624, 0.568239249864942, -0.8409036336564406, 0.3820062276954912, -0.9872148264531655, 0.8772533379429751, -2.390885067545252, 1.0900692890621488, -1.2300237681906858, 2.390777510045954, -0.2829357131831033, 0.8860988725102118, 3.3613253082917707, -1.6766761045952916, 4.321994957290283, -1.3487299902913454, 3.181194932002656, -1.5107447112464518, 1.2223109281094506, 0.38159322156902153, 1.5193176124828043, 2.000316199997954, -2.215832949759392, 3.0168778360013353, 1.4186386118386285, 1.7531024095716528, 0.4295923068944665, 1.7940255176611521, -1.267666381741745, 1.484805536862793, 2.2538274218167045, 3.0689378179717397, 0.09386054742084626, 2.647274634564273, 0.8732492492426958, 1.3750963842470696, 2.7520397735660804, 0.5004478211991431, 1.145715453128765, -1.7617029095255299, 2.679312492736888, -0.08371182162158641, 2.719697258142015, 0.6411164472513666, 2.4778553100055465, -0.09930824356214296, 1.9446193907778015, 2.6895148151481165, 0.43390340387953497, 0.5991577140184382, 0.10133235959541365, 0.9770771171474876, 0.7539925579077712, 0.47996435125735204, 2.0713179273558007, 0.40451388957239554, 0.7800735248760078, -0.46889123582870984, 1.5794081823998707, -0.701931437214948, -1.7570921337821872, -0.5751955844762782, -1.6521517387982003, 0.8369038014839909, -2.008004387697926, 0.7989966702905649, -0.6393261003045736, 1.0095571578108, -1.37948074652871, 1.6576593699876798, -1.0831122569477385, 0.07272959919125155, -1.1766544471829465, 0.15136354158014065, -1.3566905766037336, -0.8574931726157742, 0.41030085686045614, -1.3017599309797012, 0.027322756995240657, 0.8818759903503733, -0.503860668045703, 1.2297604757311658, -0.775302084669409, 0.9038628739074419, -2.7536200095096603, 0.6964066273932311, 0.29807224893847506, -0.7641217570518698, 0.33970493221878295, 0.2577140182396711, 1.298657632533911, 0.10580829704615125, 1.3008088468521506, -0.04207978939106835, 0.3944698257731242, 1.5505509318957245, 1.3483227121693115, 1.5510211561766336, 0.44016955408576797, 3.2849519912596654, 0.4251495297337661, 0.5779353719319147, 1.9280164650212375, 3.0358848069247033, 0.37015923064775347, 1.0679271539535453, 1.9912727164005235, 3.014938937395412, -0.9771642674815791, 1.3288105921141706, 1.0541931132757472, 1.4622874183495922, -1.120018011286091, -1.2342176710532302, -0.016605275778213247, 0.4180890548317745, -0.06564341137976756, 0.5009047219124667, -1.1721406750066112, 1.532584311097014, 1.2424152294279192, 1.363197583380895, -1.2122713830063314, 1.7215148556861737, 2.503836933986679, -1.6856532485460989, 2.863065158374754, 0.4496138400774425, 3.252190284660023, 0.5833970464812364, 2.019052056801836, 0.8777545491754336, 1.1163552192449382, 1.5138266244049656, 1.6915902623627326, -0.8083001827495352, 1.3748461502517337, 1.548266473624762, 1.5913255899265313, 1.0262447188984742, 0.7733377506119337, 1.848167148529132, 1.5339409578398662, 1.9421713518415036, 1.6139878523850104, 0.7051670982564008, 1.833116861294985, 1.4703206910737585, 1.7131305645804682, 1.715220522179561, 0.5586149798292627, -0.7345246233757403, 2.294679594202354, 1.8354302120911383, 0.1516446402230529, -0.2721436990467758, 1.7574981872900284, 1.0933530306332826, 2.6910046571726256, 1.223067986728628, 1.9818510736370878, -0.47365542748990763, 1.4876513422032773, 1.6549680196327063, -1.3989140185167357, 0.5931032228229194, -2.5189650067598763, 1.2250668457890552, -1.2494202234235492, 0.8873734458505416, 0.08913814126797218, 1.6470344394322738, -1.4044828896953951, 1.1609360158170308, 1.3827281072058395, 3.041594741673136, 0.5805547382295249, 2.106247433694597, 0.008406412156255705, 2.684569925745137, 1.193256496680901, 1.9402623382767499, -1.6790522422482135, 3.1813438609259572, 1.7705014981913143, 1.0272528817914628, 0.7547051586214231, 2.546443191639905, 1.2742569470620257, -2.3327743882137453, 0.6066357283595747, -1.969003836033693, 0.2478717007263369, -0.046356809261819176, 0.3280024435716631, 1.0546848862273863, -1.2932464167830569, 3.46874454041051, -0.10134862167194533, 1.1950245250133373, 0.38903561364405564, 3.9446086569787715, -0.012682060694430425, 3.332191446505546, 0.580722997816858, 5.222348203561969, 0.49208673203072173, 2.9141991471962228, 1.0514593101391894, 2.6120453414576037, -0.2048043354708612, 1.726062027433337, 0.6656166956484945, 0.8411930752831742, 0.5326238501028224, -0.7956295060431566, 0.837250141423306, 0.6477934296954813, 0.513150745528816, -1.4915548596110968, 2.5054352397945334, 0.26580456286121723, 1.1224178096817417, -0.8053455910307579, 2.5641408696539507, 0.8696899860174244, 0.38910720138927063, -0.4288129400847268, 3.6711191292206173, -0.0610997063242944, 3.2222204096501152, -0.2441507479254852, 3.6557129503934194, 1.2457671767065719, 0.2943710931758491, 0.9728423986489692, 1.1912623230525352, 0.4438206482269298, 0.4431883484305078, 1.4939425085519722, 0.672921124617368, -1.0367179539703597, 0.8935323749736557, 3.506551206645977, -1.6243202089199125, -0.05294513126165157, 2.2797374317443584, 1.6682175276751112, 0.5167700585198081, -2.063052483051326, 1.6994585793742805, 1.8281048104723587, 0.9752387508684486, 0.556574892214323, -0.22751192244756765, 1.6613578840081678, -0.9397517552430938, 2.2883104908706517, -1.2141969391264094, 1.478977855599053, -1.5120162208871184, -0.5766356414750633, 0.8244341831509786, 2.419212515261324, 0.9869092889196664, 0.314228304856129, 1.6839959995553875, 2.547835553771871, -0.17832430465563576, 0.454483172204426, 2.262491257715201, 0.3466464636290817, -0.1629070685321464, -0.433945445592796, 2.717277976012829, -0.8230229564118704, 2.7233614988469026, -0.7231915543548635, 0.6409504527952631, 0.4212257472211247, 1.4090233558087855, -1.2731809309299016, 1.3210721924567723, 0.8791187814012641, -0.5507048398298483, 1.3250005544030998, 0.612286944283462, 1.6055720648900234, -0.6234974208368164, 1.7578693390539266, 0.12699644292883971, 0.8491822275025716, -0.968520224532193, -0.061207234423088175, 0.6978530905463417, 1.148567015489598, -0.2013203375604654, 0.7497301932487214, 0.8399067217096305, 0.8662363423289084, 0.4982867410459803, -0.15796549646201435, 1.1732395417177703, -1.708055097713082, 1.8290721657807345, 0.8471176646801677, 2.798915252269633, -0.20562127857677692, 1.7314742308537028, -0.37733445009319055, 2.305726125636826, -0.46530165806082646, 1.9776119443111733, -1.7730248603799796, -0.7937050435425663, 1.5564945626452018, 1.9521474014579776, 1.0812613070250499, 1.6527389057941029, 2.0232557714347355, 2.890298674513816, 0.7598647877389226, 2.231379439256695, 0.5303526268292936, 1.2919059317710406, -0.40421633512498956, 0.8636751705981417, 1.5323332345021219, 0.41745715914834697, 1.297802129882888, 3.555836784703752, 2.844610922777295, 0.9778452813367573, 0.13076824543974785, 3.6852309134358063, 1.3214917672041055, -0.3692560428711568, -0.26362077653271077, 0.46484371726940366, 2.8715954287754633, 1.2692725924706716, 3.6677665549590843, 0.2665301738862279, 2.3628136069423906, 3.4021098737102937, 1.5589417907650143, 0.34424364303329485, 1.1269365036501529, 1.0547211668334737, 0.19309040857069215, 0.5489629809411157, 1.5609376067124912, -0.9927882180440699, 0.4718752173655437, 1.940721454996289, 1.367154168392568, 0.751987397053277, 0.5657871921389811, 1.9484288787284039, 0.8673158365860908, 1.6759407061956741, -0.7179376867748715, 1.7459504857242087, -0.16198229192872293, 1.6398717407188395, -1.5524817522844894, 2.727983516017911, -1.0406435901599191, -1.4037935211922168, 1.8272579975918597, 2.0548041628091545, 1.6314590253987649, -1.434178413532623, 2.0590034179756627, 2.5108744446930333, 0.6993421808374474, 0.3454773404885159, -1.0132830417248249, 2.44490225608262, -0.37403614484185255, -0.3984303945460632, 2.0258753648253096, 0.1199496637338725, 1.5264317410014805, -2.1833823586791024, 3.733980394859028, -1.4308453613287444, 1.363888525220999, -1.227339079694271, 1.5145791991494129, 0.6596582167208606, 1.8219220034300014, 1.8079699426672609, 2.1427937303679307, 0.9217062003665923, 2.5695768838544963, 2.219272041943316, 2.624028528584248, -0.9799267856658006, 1.1804161331162524, 1.4730885827117908, 0.8308840262482234, -1.9925982116247734, 1.3283896874308745, 0.8359328328766924, 0.6372399926647754, 0.5468483130216862, 3.2678988836388516, 0.2648822750930854, 1.0759828387083346, 0.9863290797265338, 3.1200240915792317, -1.0668551024057935, -0.3558687336694528, -0.1580407611465894, 1.7679892926176461, 0.24922277782558977, -0.45435038699497865, 0.48202160799574, 0.6567469566915238, 2.6294467729819857, -1.3186742776217113, -0.3233352443540054, -0.6880295507693038, 1.4479976389174851, 1.0643240171021975, 0.982155146786609, -0.6577381472912769, 0.17675929182843397, 3.169264580163068, 0.6858932306289676, -1.0148336959564925, -0.1427975242237709, 2.798711520704404, -0.4678348670888046, -1.4173217316549598, 1.1095638367255711, 1.4323425546753443, 0.21513341570832112, -0.07230209055461384, 3.0736359843109087, -0.5757768762225608, 2.3708567116390142, 0.9898900769156315, 2.4616271947805144, 1.156831833619843, 1.7417925877395888, -0.21939824495505023, 1.6898791921623562, -0.003325187833656866, 0.9404521610814033, -1.1923922203103339, 3.001904620426307, 0.7465622496478228, 0.8546784859930943, 1.8121871039776576, 1.2036315191931328, 2.392470895860766, 1.881096753666582, 1.594417482617743, 2.5541748116650282, 2.30842785811251, 2.090806213019849, -0.006042864324551811, 3.891517720665742, 0.2847246883865392, 0.35633603040051764, 0.3513127668105145, 2.7977769307034253, 1.7613730434986048, -0.18886481884717535, 2.145824589337776, 2.5285309170264663, 1.5469370321961369, 0.20056935752377925, 1.1499269916927062, 0.9348612039354264, -0.17824677390635504, -0.5776937377028062, 0.3711996780887997, 1.337696386462862, 1.4296181627037088, 1.3988573261964208, 0.8343027751584915, 2.93033370857547, 0.5560505094793908, 0.9292526660140374, 1.6165385826329661, -0.6298581994804895, 1.7036924283761934, 2.1038299936677762, -0.27338945695924044, -0.42196669016294974, 1.6829628205230602, 4.82492270821974, -0.4917869393746047, 0.4082067183166295, -0.736633619769761, 1.0309913344392663, -0.17482264144338333, -0.07237957619482704, 1.8218079966798426, -0.040206521714977406, 1.2531945574142989, -0.08445719004578023, 3.2353321953900234, 0.1680287567946115, 1.5514578390660319, 0.20182360867243715, 1.0330974657388914, -0.22894491303416437, 0.9900092443797405, 0.6865167903042337, 0.3070139872301401, -0.7166737165703544, 1.224101756084469, 1.3053222351877913, 0.4741845940860868, -0.023261324776112646, -0.4404944070283625, 0.40574602298142826, 3.2636318410268412, 0.2556132404548652, 3.3971729863337403, -0.18559037821898694, 2.778334195062838, 4.090026123558172, 3.2120384902810346, 4.549684223216852, -0.11710963117455238, 3.2053048764629666, 0.9789100471513633, 1.3620300776887422, 2.9613727963876952, 0.34821882350082634, 0.17761462801632938, 0.21595847946186414, 3.0911144914293014, 0.9054784340962048, 1.6348695746460744, 0.17440083607708629, 0.7964045387957795, -0.09228648267698003, 2.1361141759228364, 1.0153582045040417, 0.7136435028252216, 0.17714307255249268, 0.3323870912668192, 0.3173532132841115, 0.553405408378869, -1.2516110073930375, -0.22296472491805802, 0.24378761721561593, -0.40472579110488915, -0.20164845487594357, 2.5457245089403093, 1.4560401591159347, 3.4244519184422533, -0.8056017896324451, 4.358952815481278, 0.42084217125159984, 5.919782116393431, -2.0776145246686095, 2.0223469946206265, 0.8484969425704378, 4.744354466403018, -0.6619798172256359, 0.8403302200530808, 3.0057933166957183, 2.3932311389564065, 2.295067677341888, -1.356182028214529, 3.4511044873132044, 2.146506580760664, 1.568725414218981, 0.4045921429044056, 0.5767733773393585, 2.5519308615064697, 2.236835909252696, 0.48244932947808133, 0.8498819277905898, 1.0524116968659682, 1.8196927971137375, 1.611407221151326, 0.837494524418182, 0.00805427753557253, 3.14968286549486, -0.875511551274401, 2.6320969770458347, -0.23052033274956013, 3.2100857183937435, 0.6318521423633612, 3.965097436672347, 0.013772855488922486, 1.4701163407509372, 1.6018009671766762, 5.694677607225671, -1.6989496822700478, -0.24518768473904085, 0.33707129533935276, 2.346346162495437, -0.2447028652726764, -0.9851204552090733, 0.8330768147614018, 0.23030148802733713, 1.894615818721069, 1.4988835221797623, 0.5903616219730121, 1.5793352912789627, 1.762786578936359, 0.9652788038616498, 1.4107004067779327, 0.8612955699990327, 2.056303063686175, 1.4916245473586365, 2.1259154846512787, 2.0504398495865725, 2.2175637524847467, 0.8229078081754007, 1.4447489584210598, 2.9941127285072615, 0.3167858264899678, 0.034018731537121205, 3.7049888212869266, 1.2606794259621563, 1.0602807564707155, -0.6977248338453887, 2.9940253055254344, 2.1042503115529843, 0.449210318027268, 1.7982966577238373, 1.1178597455556807, 1.2379632498282396, 1.7021483041652385, 0.4120976121296185, 2.5394122423853576, -1.7951044466055908, 0.035296676666862314, 1.0604064716205537, 1.3358209701992965, -0.5097818600970404, -1.550050559766662, 4.076238049164084, -2.347037406072122, 1.6618907719370744, 2.92550966980005, 0.3598586656947514, -1.657313435924493, 2.36009312674678, 1.2502343311556776, 1.5294577830850793, -0.19853142986277944, 1.332581183076376, 0.3005405453000505, -0.6529602775354375, 0.7518986928001794, 0.020172132988711622, 1.9793398889630691, -1.5444330417004208, 2.353882555529825, -1.0036758801968293, 2.0759852697414636, 0.4589236676796631, 0.09019462821693303, -0.6042113843781023, 0.887930439860611, 2.18499992011525, -1.923954294209823, 1.2550499252754974, 2.0612226100143065, -0.13036007854291132, 0.6800110853959963, 0.4223466288222767, 3.0000034965167073, -0.6149400818784527, 3.5257487683868134, 2.6231102234453707, 1.2653812294289466, 0.8200934320902249, 1.2487155734171416, 2.6074215650600157, -2.597671220511186, 1.6868108295588384, 2.8347259856414895, 0.20086375354767977, -1.4143932149448157, 4.571420074785245, 3.0753682078180375, 2.018202235496459, -0.1823729307561294, 2.1600842848096846, 2.2848745711155583, 2.277859590592562, 1.3504052861574953, -0.4812209499961149, 1.6521969004493742, 2.9292408009846467, 1.9193728285279952, 0.7999150752404467, 1.780373702036289, 1.072536557410789, 3.089528923772101, 1.1376138122789403, 2.438889091377963, -0.43366661917119587, 2.5775102764329705, 1.9244379990538825, 2.7971600597535025, 0.6958008508444712 ]
[ -0.7626730185658843, 0.7111784145730264, -1.1941678731067773, 1.9183529476584547, 0.17918647817560207, -0.14143528412509232, 0.7672514022020371, 2.0541384914096885, 2.399957565415727, 0.8595708968981528, -0.41096521216681237, -0.2911131187177305, 1.595591309732058, 0.8851058751519548, -1.960079940737286, -0.08371218476739695, 1.3345889247113134, 0.7239495181992079, -2.369635463942628, 1.0352767789323563, 0.8648480766860233, 1.4971188355862193, -1.541457683314692, 2.270768937101389, 3.00289695483064, -0.3107378712696651, 0.21903596345046794, -1.0700359852859573, 2.3992419699858623, -2.3609284298724367, 0.10568061086359398, 1.0520873077228363, 0.31724157693151617, 1.4605655572571765, 0.520259590596013, 0.7118703791914573, 0.40410858692106977, 0.9825832459349002, 0.5295199517316791, -2.032229781705649, 1.776207791003685, 1.079987988109536, -0.13639940535614214, 0.5732483123853551, 1.1501051105214568, 0.8276939906667147, 0.580711974953789, 1.6489512199864638, 0.8139592601945042, 1.7110123761658516, 2.3386159245722684, 1.3404233116620161, 1.9627743057196794, 2.4713006820519023, 0.7287355920312719, 1.276159624680331, 0.9194580554558718, 2.2240822247406244, -0.2945713999267696, 1.3463268256158099, -0.4345832185265628, 2.9431100822476033, 0.7067439865883605, 3.15176603828381, 1.997537290356746, 3.8072573541449306, 2.579073735877719, 1.4814592660145984, 1.3378856031308723, -0.6643841262329817, 3.309323474177453, -0.9628874374158527, 0.17464805236494557, -1.1031805602656202, 3.0167828743648584, 2.0381881914872926, -0.530924709931712, -0.23180941483276896, 1.4586271639184067, 1.06341789231513, 0.2937371667192176, -0.2760072603928261, 0.8394716404289837, -0.25589272768652566, 2.6395174184362697, 0.5890387568583966, 2.727895690018808, 0.17742667430276232, 1.9986370066095644, 1.3504826312736031, 1.3454394349223362, 0.40871057558674706, 0.33202913687854774, 0.8147436359036511, 3.1559831835600267, 1.127847443242468, 0.46378602404416613, 2.3329571375417206, 2.9009853306872584, 2.8987509790260932, 0.08546856533093727, 3.479310888144224, -0.5015209846780575, 0.5360227103478725, 0.9943900722072359, 3.017340786653432, 0.7135650256378416, 0.4007652650486197, 0.43133094885736456, 4.027525336297281, 0.7326956203867893, 1.2911315684054074, 2.768275151019071, 1.2450530943078029, 1.6588955275570467, 1.930258695713833, 2.480829552573503, 0.9388512619086578, 0.5843118338015545, 1.0718356908720605, 3.1224498040390785, 1.8325280236021801, 3.0400756897827588, -0.5516084602066965, 4.9047965600241765, 1.9327756508420535, 4.530401148473446, 0.3775513525610663, 3.3830798896862575, 4.067497864254395, 2.3537924196502096, 0.9953306506867892, 1.5243913949652712, 2.3090880990771545, 0.940190711621204, 0.9808150082778039, -0.07217566131715081, 1.558528631611788, -0.08215955564608068, 1.7200984231520366, 0.08000593758416454, -0.4007764207828126, -0.9822303904015808, -0.054509824335015944, 1.8442813906772255, -0.0012959198342583633, -0.9740334482991524, 0.3994156382884779, 4.141361181579683, 1.131015711040656, 0.5889549493474351, 0.711924259428968, 2.5789249952245115, -0.21233748885345427, 0.8956339563128805, 2.8184920775611637, 2.4861752364690917, -0.7953204747042265, 3.0890145303890244, 1.1299120762240173, 1.7658274826241072, -1.0003809209387053, 0.4940398478564617, 1.8429375741073906, 0.3577984432472777, 0.9229115572924144, 1.9892722467837216, 1.8075037199919397, 1.9205327460711215, 2.3173759932484983, 1.7145920682817932, 0.5129749557167942, 0.8011007195290719, 2.407908121556642, -0.04171171949398378, 2.5649657856615327, -1.836907450792618, 1.2400051458780474, -0.029075514589915197, 1.410696614680255, 0.09920969192036086, -1.1839227578935183, 1.7778241782192554, -0.733327860677503, 2.386366631432749, -0.20527514461165464, 2.990076344633227, 0.06385931806951373, 3.1934744689582093, 0.21676910991082138, 0.9928830077386601, -1.163101557752373, 2.331648838267895, -0.18982556137158163, 0.12027927347984135, 1.8815444591168236, 0.570885387152719, 3.6792904880444475, 0.28414883436724636, 4.8924724550568275, -0.2816902322023801, 2.0975735751484734, 0.7441565190490286, 2.096755056970884, -2.0604239062298673, 0.9346943799682799, 1.7704248933671147, 1.7135025442151561, -2.4045758342064008, 1.390247388881869, 0.6623111080812379, 2.5027562684799376, 1.1802704431813185, 0.3661920368964382, 1.6897942445011584, 2.602048716338261, 1.3594086107085253, 1.5437897834468968, -1.6522341795049935, 0.975885566373605, -0.4160170761689904, -0.5201407418469892, -0.2718106788964003, 0.42168298008182414, 1.340258205873285, 0.04302786961942506, 2.0521436064344694, 1.021832344865831, -0.6774907272228793, 0.9394333870678615, -0.036065171595406426, 0.9764809859513897, -1.8465293137572014, 1.9593678569945738, 0.023698585853673654, 1.0938092742183838, -2.75442377758875, 1.0204957954095315, 1.1699272352711596, 0.8318547902521747, -0.18126948536422144, 0.2431751237453369, -0.4284826494199976, 1.7663488700586698, -1.0516025948243226, 0.5048221105408809, -1.6257528990589056, 0.9946557283198763, 0.5225052955858216, 0.10136509833136984, -0.6686006172269786, 1.9477912489846956, 2.2698234941318067, 1.5753943576318792, 2.1383586398998498, 2.7260703240104327, 3.8038672964052127, 0.29687297031837234, 2.625581379121999, -0.50303027832646, 2.0424354471690664, -2.374246645273414, 2.339459746708572, 0.6280956474012032, -1.352335256775755, 2.0677356733952776, -0.06896545598531095, 2.5966997225396575, 0.5823975595269748, 1.626005927562229, 2.0192094840440156, 1.768090597532725, 2.281426547892031, 1.5161000443495198, 0.15241681266295548, 2.6833880067193028, 0.22996870255156976, 3.181699690989218, -0.7222918116634698, 2.6711132658313295, -1.2175347268608598, 4.554994339137938, 0.37037321370676696, 0.25644818902494726, 0.5198423355067107, 3.0414991830996474, -0.3049711462512339, 2.0643555094336348, 1.3773952625321801, 2.93114384719932, 0.5037861578701239, 2.7432740687139656, 2.3287615282718974, -1.6422543792679452, 2.9421344489235794, 0.8325362231461504, 1.7678838912693908, -0.5340382372321848, -0.49655027714308586, 3.456006655910138, 1.599452662336596, 0.9542021154459763, 1.5665086195547318, 2.529224654044328, 1.5524940090083645, 0.6106716658231037, 2.2242413369220375, 0.7680882533115592, -1.2807110729174345, 1.703478125121263, -1.388190845377151, 1.3823976730210763, -0.23033756450708942, 4.114665393825215, -0.29560060717929315, 1.3073149455830357, 1.5617137310845624, 5.05070390174429, 3.513541552991344, 1.9232316134489422, 2.460971496080111, 4.107448987374985, 0.6452505241760624, 0.568239249864942, -0.8409036336564406, 0.3820062276954912, -0.9872148264531655, 0.8772533379429751, -2.390885067545252, 1.0900692890621488, -1.2300237681906858, 2.390777510045954, -0.2829357131831033, 0.8860988725102118, 3.3613253082917707, -1.6766761045952916, 4.321994957290283, -1.3487299902913454, 3.181194932002656, -1.5107447112464518, 1.2223109281094506, 0.38159322156902153, 1.5193176124828043, 2.000316199997954, -2.215832949759392, 3.0168778360013353, 1.4186386118386285, 1.7531024095716528, 0.4295923068944665, 1.7940255176611521, -1.267666381741745, 1.484805536862793, 2.2538274218167045, 3.0689378179717397, 0.09386054742084626, 2.647274634564273, 0.8732492492426958, 1.3750963842470696, 2.7520397735660804, 0.5004478211991431, 1.145715453128765, -1.7617029095255299, 2.679312492736888, -0.08371182162158641, 2.719697258142015, 0.6411164472513666, 2.4778553100055465, -0.09930824356214296, 1.9446193907778015, 2.6895148151481165, 0.43390340387953497, 0.5991577140184382, 0.10133235959541365, 0.9770771171474876, 0.7539925579077712, 0.47996435125735204, 2.0713179273558007, 0.40451388957239554, 0.7800735248760078, -0.46889123582870984, 1.5794081823998707, -0.701931437214948, -1.7570921337821872, -0.5751955844762782, -1.6521517387982003, 0.8369038014839909, -2.008004387697926, 0.7989966702905649, -0.6393261003045736, 1.0095571578108, -1.37948074652871, 1.6576593699876798, -1.0831122569477385, 0.07272959919125155, -1.1766544471829465, 0.15136354158014065, -1.3566905766037336, -0.8574931726157742, 0.41030085686045614, -1.3017599309797012, 0.027322756995240657, 0.8818759903503733, -0.503860668045703, 1.2297604757311658, -0.775302084669409, 0.9038628739074419, -2.7536200095096603, 0.6964066273932311, 0.29807224893847506, -0.7641217570518698, 0.33970493221878295, 0.2577140182396711, 1.298657632533911, 0.10580829704615125, 1.3008088468521506, -0.04207978939106835, 0.3944698257731242, 1.5505509318957245, 1.3483227121693115, 1.5510211561766336, 0.44016955408576797, 3.2849519912596654, 0.4251495297337661, 0.5779353719319147, 1.9280164650212375, 3.0358848069247033, 0.37015923064775347, 1.0679271539535453, 1.9912727164005235, 3.014938937395412, -0.9771642674815791, 1.3288105921141706, 1.0541931132757472, 1.4622874183495922, -1.120018011286091, -1.2342176710532302, -0.016605275778213247, 0.4180890548317745, -0.06564341137976756, 0.5009047219124667, -1.1721406750066112, 1.532584311097014, 1.2424152294279192, 1.363197583380895, -1.2122713830063314, 1.7215148556861737, 2.503836933986679, -1.6856532485460989, 2.863065158374754, 0.4496138400774425, 3.252190284660023, 0.5833970464812364, 2.019052056801836, 0.8777545491754336, 1.1163552192449382, 1.5138266244049656, 1.6915902623627326, -0.8083001827495352, 1.3748461502517337, 1.548266473624762, 1.5913255899265313, 1.0262447188984742, 0.7733377506119337, 1.848167148529132, 1.5339409578398662, 1.9421713518415036, 1.6139878523850104, 0.7051670982564008, 1.833116861294985, 1.4703206910737585, 1.7131305645804682, 1.715220522179561, 0.5586149798292627, -0.7345246233757403, 2.294679594202354, 1.8354302120911383, 0.1516446402230529, -0.2721436990467758, 1.7574981872900284, 1.0933530306332826, 2.6910046571726256, 1.223067986728628, 1.9818510736370878, -0.47365542748990763, 1.4876513422032773, 1.6549680196327063, -1.3989140185167357, 0.5931032228229194, -2.5189650067598763, 1.2250668457890552, -1.2494202234235492, 0.8873734458505416, 0.08913814126797218, 1.6470344394322738, -1.4044828896953951, 1.1609360158170308, 1.3827281072058395, 3.041594741673136, 0.5805547382295249, 2.106247433694597, 0.008406412156255705, 2.684569925745137, 1.193256496680901, 1.9402623382767499, -1.6790522422482135, 3.1813438609259572, 1.7705014981913143, 1.0272528817914628, 0.7547051586214231, 2.546443191639905, 1.2742569470620257, -2.3327743882137453, 0.6066357283595747, -1.969003836033693, 0.2478717007263369, -0.046356809261819176, 0.3280024435716631, 1.0546848862273863, -1.2932464167830569, 3.46874454041051, -0.10134862167194533, 1.1950245250133373, 0.38903561364405564, 3.9446086569787715, -0.012682060694430425, 3.332191446505546, 0.580722997816858, 5.222348203561969, 0.49208673203072173, 2.9141991471962228, 1.0514593101391894, 2.6120453414576037, -0.2048043354708612, 1.726062027433337, 0.6656166956484945, 0.8411930752831742, 0.5326238501028224, -0.7956295060431566, 0.837250141423306, 0.6477934296954813, 0.513150745528816, -1.4915548596110968, 2.5054352397945334, 0.26580456286121723, 1.1224178096817417, -0.8053455910307579, 2.5641408696539507, 0.8696899860174244, 0.38910720138927063, -0.4288129400847268, 3.6711191292206173, -0.0610997063242944, 3.2222204096501152, -0.2441507479254852, 3.6557129503934194, 1.2457671767065719, 0.2943710931758491, 0.9728423986489692, 1.1912623230525352, 0.4438206482269298, 0.4431883484305078, 1.4939425085519722, 0.672921124617368, -1.0367179539703597, 0.8935323749736557, 3.506551206645977, -1.6243202089199125, -0.05294513126165157, 2.2797374317443584, 1.6682175276751112, 0.5167700585198081, -2.063052483051326, 1.6994585793742805, 1.8281048104723587, 0.9752387508684486, 0.556574892214323, -0.22751192244756765, 1.6613578840081678, -0.9397517552430938, 2.2883104908706517, -1.2141969391264094, 1.478977855599053, -1.5120162208871184, -0.5766356414750633, 0.8244341831509786, 2.419212515261324, 0.9869092889196664, 0.314228304856129, 1.6839959995553875, 2.547835553771871, -0.17832430465563576, 0.454483172204426, 2.262491257715201, 0.3466464636290817, -0.1629070685321464, -0.433945445592796, 2.717277976012829, -0.8230229564118704, 2.7233614988469026, -0.7231915543548635, 0.6409504527952631, 0.4212257472211247, 1.4090233558087855, -1.2731809309299016, 1.3210721924567723, 0.8791187814012641, -0.5507048398298483, 1.3250005544030998, 0.612286944283462, 1.6055720648900234, -0.6234974208368164, 1.7578693390539266, 0.12699644292883971, 0.8491822275025716, -0.968520224532193, -0.061207234423088175, 0.6978530905463417, 1.148567015489598, -0.2013203375604654, 0.7497301932487214, 0.8399067217096305, 0.8662363423289084, 0.4982867410459803, -0.15796549646201435, 1.1732395417177703, -1.708055097713082, 1.8290721657807345, 0.8471176646801677, 2.798915252269633, -0.20562127857677692, 1.7314742308537028, -0.37733445009319055, 2.305726125636826, -0.46530165806082646, 1.9776119443111733, -1.7730248603799796, -0.7937050435425663, 1.5564945626452018, 1.9521474014579776, 1.0812613070250499, 1.6527389057941029, 2.0232557714347355, 2.890298674513816, 0.7598647877389226, 2.231379439256695, 0.5303526268292936, 1.2919059317710406, -0.40421633512498956, 0.8636751705981417, 1.5323332345021219, 0.41745715914834697, 1.297802129882888, 3.555836784703752, 2.844610922777295, 0.9778452813367573, 0.13076824543974785, 3.6852309134358063, 1.3214917672041055, -0.3692560428711568, -0.26362077653271077, 0.46484371726940366, 2.8715954287754633, 1.2692725924706716, 3.6677665549590843, 0.2665301738862279, 2.3628136069423906, 3.4021098737102937, 1.5589417907650143, 0.34424364303329485, 1.1269365036501529, 1.0547211668334737, 0.19309040857069215, 0.5489629809411157, 1.5609376067124912, -0.9927882180440699, 0.4718752173655437, 1.940721454996289, 1.367154168392568, 0.751987397053277, 0.5657871921389811, 1.9484288787284039, 0.8673158365860908, 1.6759407061956741, -0.7179376867748715, 1.7459504857242087, -0.16198229192872293, 1.6398717407188395, -1.5524817522844894, 2.727983516017911, -1.0406435901599191, -1.4037935211922168, 1.8272579975918597, 2.0548041628091545, 1.6314590253987649, -1.434178413532623, 2.0590034179756627, 2.5108744446930333, 0.6993421808374474, 0.3454773404885159, -1.0132830417248249, 2.44490225608262, -0.37403614484185255, -0.3984303945460632, 2.0258753648253096, 0.1199496637338725, 1.5264317410014805, -2.1833823586791024, 3.733980394859028, -1.4308453613287444, 1.363888525220999, -1.227339079694271, 1.5145791991494129, 0.6596582167208606, 1.8219220034300014, 1.8079699426672609, 2.1427937303679307, 0.9217062003665923, 2.5695768838544963, 2.219272041943316, 2.624028528584248, -0.9799267856658006, 1.1804161331162524, 1.4730885827117908, 0.8308840262482234, -1.9925982116247734, 1.3283896874308745, 0.8359328328766924, 0.6372399926647754, 0.5468483130216862, 3.2678988836388516, 0.2648822750930854, 1.0759828387083346, 0.9863290797265338, 3.1200240915792317, -1.0668551024057935, -0.3558687336694528, -0.1580407611465894, 1.7679892926176461, 0.24922277782558977, -0.45435038699497865, 0.48202160799574, 0.6567469566915238, 2.6294467729819857, -1.3186742776217113, -0.3233352443540054, -0.6880295507693038, 1.4479976389174851, 1.0643240171021975, 0.982155146786609, -0.6577381472912769, 0.17675929182843397, 3.169264580163068, 0.6858932306289676, -1.0148336959564925, -0.1427975242237709, 2.798711520704404, -0.4678348670888046, -1.4173217316549598, 1.1095638367255711, 1.4323425546753443, 0.21513341570832112, -0.07230209055461384, 3.0736359843109087, -0.5757768762225608, 2.3708567116390142, 0.9898900769156315, 2.4616271947805144, 1.156831833619843, 1.7417925877395888, -0.21939824495505023, 1.6898791921623562, -0.003325187833656866, 0.9404521610814033, -1.1923922203103339, 3.001904620426307, 0.7465622496478228, 0.8546784859930943, 1.8121871039776576, 1.2036315191931328, 2.392470895860766, 1.881096753666582, 1.594417482617743, 2.5541748116650282, 2.30842785811251, 2.090806213019849, -0.006042864324551811, 3.891517720665742, 0.2847246883865392, 0.35633603040051764, 0.3513127668105145, 2.7977769307034253, 1.7613730434986048, -0.18886481884717535, 2.145824589337776, 2.5285309170264663, 1.5469370321961369, 0.20056935752377925, 1.1499269916927062, 0.9348612039354264, -0.17824677390635504, -0.5776937377028062, 0.3711996780887997, 1.337696386462862, 1.4296181627037088, 1.3988573261964208, 0.8343027751584915, 2.93033370857547, 0.5560505094793908, 0.9292526660140374, 1.6165385826329661, -0.6298581994804895, 1.7036924283761934, 2.1038299936677762, -0.27338945695924044, -0.42196669016294974, 1.6829628205230602, 4.82492270821974, -0.4917869393746047, 0.4082067183166295, -0.736633619769761, 1.0309913344392663, -0.17482264144338333, -0.07237957619482704, 1.8218079966798426, -0.040206521714977406, 1.2531945574142989, -0.08445719004578023, 3.2353321953900234, 0.1680287567946115, 1.5514578390660319, 0.20182360867243715, 1.0330974657388914, -0.22894491303416437, 0.9900092443797405, 0.6865167903042337, 0.3070139872301401, -0.7166737165703544, 1.224101756084469, 1.3053222351877913, 0.4741845940860868, -0.023261324776112646, -0.4404944070283625, 0.40574602298142826, 3.2636318410268412, 0.2556132404548652, 3.3971729863337403, -0.18559037821898694, 2.778334195062838, 4.090026123558172, 3.2120384902810346, 4.549684223216852, -0.11710963117455238, 3.2053048764629666, 0.9789100471513633, 1.3620300776887422, 2.9613727963876952, 0.34821882350082634, 0.17761462801632938, 0.21595847946186414, 3.0911144914293014, 0.9054784340962048, 1.6348695746460744, 0.17440083607708629, 0.7964045387957795, -0.09228648267698003, 2.1361141759228364, 1.0153582045040417, 0.7136435028252216, 0.17714307255249268, 0.3323870912668192, 0.3173532132841115, 0.553405408378869, -1.2516110073930375, -0.22296472491805802, 0.24378761721561593, -0.40472579110488915, -0.20164845487594357, 2.5457245089403093, 1.4560401591159347, 3.4244519184422533, -0.8056017896324451, 4.358952815481278, 0.42084217125159984, 5.919782116393431, -2.0776145246686095, 2.0223469946206265, 0.8484969425704378, 4.744354466403018, -0.6619798172256359, 0.8403302200530808, 3.0057933166957183, 2.3932311389564065, 2.295067677341888, -1.356182028214529, 3.4511044873132044, 2.146506580760664, 1.568725414218981, 0.4045921429044056, 0.5767733773393585, 2.5519308615064697, 2.236835909252696, 0.48244932947808133, 0.8498819277905898, 1.0524116968659682, 1.8196927971137375, 1.611407221151326, 0.837494524418182, 0.00805427753557253, 3.14968286549486, -0.875511551274401, 2.6320969770458347, -0.23052033274956013, 3.2100857183937435, 0.6318521423633612, 3.965097436672347, 0.013772855488922486, 1.4701163407509372, 1.6018009671766762, 5.694677607225671, -1.6989496822700478, -0.24518768473904085, 0.33707129533935276, 2.346346162495437, -0.2447028652726764, -0.9851204552090733, 0.8330768147614018, 0.23030148802733713, 1.894615818721069, 1.4988835221797623, 0.5903616219730121, 1.5793352912789627, 1.762786578936359, 0.9652788038616498, 1.4107004067779327, 0.8612955699990327, 2.056303063686175, 1.4916245473586365, 2.1259154846512787, 2.0504398495865725, 2.2175637524847467, 0.8229078081754007, 1.4447489584210598, 2.9941127285072615, 0.3167858264899678, 0.034018731537121205, 3.7049888212869266, 1.2606794259621563, 1.0602807564707155, -0.6977248338453887, 2.9940253055254344, 2.1042503115529843, 0.449210318027268, 1.7982966577238373, 1.1178597455556807, 1.2379632498282396, 1.7021483041652385, 0.4120976121296185, 2.5394122423853576, -1.7951044466055908, 0.035296676666862314, 1.0604064716205537, 1.3358209701992965, -0.5097818600970404, -1.550050559766662, 4.076238049164084, -2.347037406072122, 1.6618907719370744, 2.92550966980005, 0.3598586656947514, -1.657313435924493, 2.36009312674678, 1.2502343311556776, 1.5294577830850793, -0.19853142986277944, 1.332581183076376, 0.3005405453000505, -0.6529602775354375, 0.7518986928001794, 0.020172132988711622, 1.9793398889630691, -1.5444330417004208, 2.353882555529825, -1.0036758801968293, 2.0759852697414636, 0.4589236676796631, 0.09019462821693303, -0.6042113843781023, 0.887930439860611, 2.18499992011525, -1.923954294209823, 1.2550499252754974, 2.0612226100143065, -0.13036007854291132, 0.6800110853959963, 0.4223466288222767, 3.0000034965167073, -0.6149400818784527, 3.5257487683868134, 2.6231102234453707, 1.2653812294289466, 0.8200934320902249, 1.2487155734171416, 2.6074215650600157, -2.597671220511186, 1.6868108295588384, 2.8347259856414895, 0.20086375354767977, -1.4143932149448157, 4.571420074785245, 3.0753682078180375, 2.018202235496459, -0.1823729307561294, 2.1600842848096846, 2.2848745711155583, 2.277859590592562, 1.3504052861574953, -0.4812209499961149, 1.6521969004493742, 2.9292408009846467, 1.9193728285279952, 0.7999150752404467, 1.780373702036289, 1.072536557410789, 3.089528923772101 ]
97
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Focus on the time delay between the two time series. If time series 1 is a lagged version, then it should look the same to time series 2 after being shifted by a certain number of steps. Can you check this?
Causality Analysis
Granger Causality
423
null
Two time series are given, one with an upward trend and the other with a downward trend. Do they exhibit similar patterns aside from the trend?
[ "Yes, they share a similar pattern", "No, they have different cyclic components" ]
Yes, they share a similar pattern
binary
[ -0.05737473119065533, 0.31347345009392075, 0.45845760231348753, 0.5668924148595604, 0.8596215642078677, 0.9756619365922323, 1.3097314388114736, 1.4381383160360977, 1.5516828603026223, 1.6527081110180504, 1.8136530372243627, 1.8941808864501282, 1.5702484944551185, 1.6317832133299983, 1.751960673634642, 1.5781850568030538, 1.5883756044497142, 1.521353477615032, 1.2537753706008499, 0.9427765158674576, 0.9562923175374146, 0.5454157986119084, 0.3643036956625708, 0.22979602881544103, -0.1784856551371108, -0.22959971101346208, -0.42154163356581215, -0.792885663518598, -0.9206210679130052, -1.0188142571206456, -1.2131544014928568, -1.4020617991978774, -1.3213078183793887, -1.5767259734067778, -1.5031100996946956, -1.5402804702826791, -1.3323466368286345, -1.4666425112973953, -1.3779216538748862, -1.2962301585183094, -1.1770630621315654, -0.90255339440427, -0.620090491083668, -0.4602900388252043, -0.2837171547771403, 0.07558897692945818, 0.3317193891177146, 0.5844772828963788, 0.7204676516147491, 0.9740429671126364, 1.139900017755335, 1.4860698814179067, 1.5420252647548913, 1.6703991354123608, 1.862193648766645, 2.04829332193125, 1.9945102533757324, 1.9560587999993384, 2.0962010963032727, 1.933427725128296, 2.0404946055005353, 1.8126118419929398, 1.6902600426259675, 1.8130137060084728, 1.60182423448, 1.211187319791155, 1.0455099951384628, 0.8504871852874092, 0.734302753745896, 0.4214152119078964, 0.14288977729029048, -0.09420533425044436, -0.3252920646599692, -0.534695674319578, -0.48424591939694417, -0.764433145397562, -0.9319659368128145, -1.0539657994828882, -1.2050281421994617, -1.2767273831935428, -1.080537673227091, -1.278119724112365, -1.3670065887886866, -1.147796170977358, -1.1510935270551976, -0.933725386586338, -0.6976374947930187, -0.8010550464030314, -0.48196589779075943, -0.32269816115380434, 0.0008341414627956872, 0.2508405768229313, 0.6536313685391726, 0.7901503104957189, 0.9790864408567813, 1.315166219643065, 1.4811902849109067, 1.579450304160787, 1.9043501051612046, 2.042636386312366, 2.0862706372779383, 2.0994428312439677, 2.1608566801868627, 2.303356523547945, 2.4387307221404964, 2.3339494124888756, 2.2972364068051525, 2.052525999422151, 2.070124415043997, 1.8146007712322594, 1.8127507209666667, 1.7051765280139934, 1.3359953918763912, 1.2065366051949737, 0.7901250407209779, 0.6708227540261483, 0.5892557149679828, 0.17139385401306767, 0.0038923650177729646, -0.1736902939657907, -0.48566760470586556, -0.3955934782163937, -0.5966114665694602, -0.7377836352217602, -0.8550026575882683, -1.0394598910629114, -0.8913378431313045, -1.0055695951271213, -1.0824601497791366, -0.9538314157646184, -0.8963289374831673, -0.5271879414184761, -0.3924487292523501, -0.1805427879032952, -0.14661201316539085, -0.043909977390865204, 0.25875646486036313, 0.5305230613390278, 0.7087545670107153, 1.040540718956515, 1.219853752300852, 1.4688589783351107, 1.618209416799772, 1.888563866596781, 2.0675480968872493, 2.1897906738891884, 2.3854703161189135, 2.312628448979153, 2.5269719198226146, 2.7769587875493342, 2.6042626483429103, 2.513634182461525, 2.647427252943089, 2.3412322489152855, 2.155593121748763, 2.269217767207377, 2.012936958128607, 1.8682629568074658, 1.5529556795329562, 1.3292530187240836, 1.2465856397428234, 0.891599598198719, 0.6517887624579876, 0.5197975445291607, 0.47042723029801214, 0.041685433447896325, -0.2546864764151194, -0.2846943447660038, -0.3236093837996964, -0.5813122290698004, -0.7635916300565959, -0.6425221277026681, -0.5760230582874747, -0.9025948937022175, -0.5530603605592157, -0.5337151858547952, -0.5905756876983131, -0.4040013194259652, -0.29059729919140975, -0.11993126940000577, 0.019439869734472426, 0.1781569265303265, 0.6223049452663965, 0.8870738636739524, 1.0164902748991624, 1.3022534364018497, 1.6070287650706039, 1.5904897115916719, 1.723491451388027, 2.1801362410495124, 2.2293811212761963, 2.304095825577981, 2.5932443097943487, 2.7913538413280548, 2.9482596042389653, 2.6219327332734363, 2.6247825111052947, 2.702357040058583, 2.8068514064953267, 2.796280390232871, 2.419057782464179, 2.57013263018827, 2.4160084791193084, 1.897949847635123, 1.8884132411044692, 1.6225759870827408, 1.4112003010429675, 1.365570335500421, 1.1225668675966616, 0.720597968989349, 0.4729082780563906, 0.45787812899024694, 0.22816289313758759, -0.0023909045266124196, -0.14724895001277305, -0.3586100249047175, -0.34154499590611453, -0.5970504745821957, -0.5514469821613496, -0.39224405084598846, -0.4059569742742756, -0.3761024820336495, -0.23211716926745263, -0.3070229822242771, 0.19560459067910785, 0.12852102123630843, 0.38443705638186804, 0.6213397611868056, 0.7859268847945782, 1.003602989623448, 1.280539727175647, 1.4933527151843984, 1.7635765577518068, 2.1054979842897237, 2.1519865971242256, 2.398110245820204, 2.49547193998302, 2.705706517126089, 2.613134410403144, 3.024548180850368, 3.0964615985181787, 3.037934632607472, 3.2516863943515837, 3.117334124127947, 3.0167596331443947, 2.7190067217139338, 2.7373021344525377, 2.790406298742881, 2.4187186200153485, 2.44642898458246, 2.102432094454937, 1.9026206071848812, 1.7297197203716201, 1.4714812074351322, 1.2830769523257604, 1.090070175391396, 0.8361394753867599, 0.6189098655033511, 0.3243138179059071, 0.26034749651676536, 0.056914537466707375, -0.06872156737014015, -0.0237435393771092, -0.25355731936120285, -0.023718395191613617, -0.0203474976550157, -0.0533622189879073, -0.06225510270735109, -0.014891536781997537, 0.007185130866040057, 0.012436857585799405, 0.3841264592354642, 0.6130519847169164, 0.7272063074847042, 0.9575910301248896, 1.2238185525805552, 1.5065241082267649, 1.6686239048251343, 2.1840368923119753, 2.2291144274389905, 2.4546866352858063, 2.832399462780143, 2.8579639733137783, 3.0466815213453855, 3.2743306666819767, 3.4521508039781086, 3.4651944203119247, 3.190505085399175, 3.219653425780283, 3.4819308841474155, 3.1607586522532296, 3.1545143756880267, 3.1349520005171074, 3.238564856735659, 3.0304529011314374, 2.5419775093189663, 2.309718174862699, 2.3765289010874735, 2.1428217490249213, 1.5945142027826438, 1.484042600632254, 1.245716417933134, 1.150914175922489, 1.0979124317443882, 0.6443161421186925, 0.37416083101485625, 0.3841897389400388, 0.3803862920143378, 0.0721767041857634, 0.1641327896708323, 0.01759231739792906, -0.011075201091327896, 0.051045487025437056, 0.0778691984212162, 0.07650748442388886, 0.44932721887746196, 0.5338562309758975, 0.6577653271132655, 0.9717637870812172, 1.1291245277975201, 1.430461045625372, 1.6332220015675416, 1.9264488079336954, 2.207918419682268, 2.0196826389211755, 2.5450155271460613, 2.8195565823844686, 2.9493715383829975, 2.968971250202972, 3.2988559401164297, 3.4793712217887607, 3.3802750141138227, 3.5853768948787903, 3.5353598709179304, 3.532164437588876, 3.632266417046024, 3.4615554163080415, 3.417013020979092, 3.4151892282793925, 3.260575526050066, 3.0573084873554324, 3.022277630320759, 2.7424280910260155, 2.338432335105119, 2.217286869040643, 2.013162419028904, 1.8938563455614124, 1.2718858916842959, 1.3407210156281288, 1.216711876829574, 0.9731933400413255, 0.6123528373774149, 0.6931916678176665, 0.42844801271035104, 0.31479165704297835, 0.35576145489053346, 0.13014592343415443, 0.3431051366641674, 0.3640945397894907, 0.4106086806579764, 0.5300055290052696, 0.6795571131246938, 0.9208534833362496, 0.8075396293128566, 1.0300679927708936, 1.4351396989890088, 1.5754466354604595, 1.7812927416012418, 2.0664788851785088, 2.443709418171363, 2.5001334309962915, 2.6387045589542484, 2.972453639058653, 3.1177546945055217, 3.2906573049122843, 3.4874044886664777, 3.6864003802407477, 3.6236500694241185, 3.9268713448605466, 3.9752232714488493, 3.7837483386919137, 4.076846272371795, 3.791175991102188, 3.7402142290866935, 3.7176462922026574, 3.3875346980812275, 3.4959074730495723, 3.2072966257429982, 2.983245943136457, 2.682277435328222, 2.596695993310583, 2.5435513887223737, 2.0166547164970825, 1.9486654760322493, 1.713806015404531, 1.4052218402543653, 1.427952013086312, 0.8165111911091948, 0.8281167167619152, 0.8183762411888877, 0.6519616682871708, 0.5684748390920957, 0.6436782800491844, 0.5046118082105115, 0.6572852304902644, 0.6982039206303144, 0.7250449546355235, 0.8828275163089842, 0.9303371019224118, 1.1943947623731739, 1.3951559444830839, 1.5229798262276497, 1.9696962258980977, 2.1289222103476733, 2.2674033714774966, 2.5047460953725196, 3.022225791222411, 2.9714638758314305, 2.985768033288636, 3.4686759007497225, 3.3451640351917376, 3.847523912777725, 3.969263310900428, 4.043077341757405, 4.293311343261317, 4.211116113818275, 4.21486132561673, 4.2011347533694465, 4.030881654664274, 4.08995440608066, 3.9700752888559134, 3.701777937004756, 3.536128558226781, 3.480677635598387, 3.325864462705604, 2.9146767106921723, 2.7573424210167654, 2.4674243356865198, 2.27120419060984, 2.0190626491331907, 1.8787529586227614, 1.6172012857538351, 1.4758673113148375, 1.2130277960175595, 1.248725579008658, 0.9182182164699957, 0.9351127604927858, 0.8229293777650394, 0.9472719475220854, 0.8955992181473933, 1.062042628762962, 0.8356540244794248, 0.9944549201594663, 1.205619812445554, 1.2085340732832046, 1.3439416042738948, 1.5552628614510486, 1.8601398398266908, 2.014373035532124, 2.5349180601495767, 2.566129707575379, 2.697823828074253, 3.1112748288059566, 3.2122224169312674, 3.553011284406906, 3.67406164936195, 3.9152230773179717, 3.9467439271314455, 4.2527664577275415, 4.196524004083817, 4.384180221418001, 4.535770914875623, 4.4839820320647075, 4.484565734921672, 4.47144770368414, 4.3971103082665275, 4.093154951742017, 4.09745200748895, 3.7941929555045126, 3.6363420968437192, 3.5310891574765035, 3.2500242073259593, 3.1412946745669847, 3.0390151725741794, 2.5535744024844256, 2.2939901872166844, 2.1878553888382064, 1.8662951621374104, 1.7938111509337917, 1.6292915805505925, 1.6983510434100406, 1.3563367283239187, 1.1652822667916443, 1.105007017783252, 1.0594816130310019, 1.1551517041876338, 0.7870085419860695, 1.2371815289406924, 1.2443925855553677, 1.4299838030943477, 1.4939087880523445, 1.75503641322645, 1.8251793150125062, 1.9558633760933612, 2.316317830408028, 2.550131989680921, 2.7889087272325654, 2.8362334471806445, 3.296276382405196, 3.497524476071857, 3.7528906499640504, 3.9070544266868943, 4.323353533923578, 4.2763743379149135, 4.4963689217826435, 4.69401344962618, 4.683222529937483, 4.6799656479380936, 4.850114927969859, 4.570897793925339, 4.698037229140381, 4.4437624909956455, 4.460961892624943, 4.224820403671966, 3.9796658182671782, 3.8137699717886604, 3.9276201018532513, 3.4677137613642044, 3.321186138535889, 3.0500814678473342, 3.0032843473580892, 2.502123840366382, 2.363978922402914, 2.562736298983517, 2.169727713733498, 1.7640109342212047, 1.8176187941700732, 1.5403883914462781, 1.5312802542955815, 1.2956287177543468, 1.3469224508277466, 1.4135754339918603, 1.2762508418417582, 1.4070110674642486, 1.5462308436387282, 1.7090329853620674, 1.8173808109955565, 2.0159528595355307, 1.9416171391497412, 2.120346158948542, 2.554716211337063, 2.9157455358023974, 2.995585681688377, 3.1786429196269554, 3.3059831766783736, 3.7549152100251812, 3.817683177696895, 4.102910927405337, 4.301989200525818, 4.318862467012153, 4.635990489436537, 4.968553648852353, 5.086750576699211, 5.075640950734325, 4.832985581470814, 5.109819375824278, 4.845214584943389, 4.697918814654244, 4.657145398894969, 4.642483358016295, 4.330830414739355, 4.247494617771923, 3.957613994995554, 3.981725885074624, 3.6564848813013415, 3.31895515222801, 3.062811318891166, 3.0069818728654414, 2.75589993912937, 2.4246469647554347, 2.2171423553965606, 1.9015122093432844, 1.9736681878273699, 1.8731119082375551, 1.6466652177354295, 1.5964929777309003, 1.7667906397302735, 1.6054769423807083, 1.6428781587821197, 1.5651121775467836, 1.7022061897372436, 1.9203908944659085, 2.099077499049984, 2.2440765221605052, 2.3114944720581154, 2.6366204877095267, 2.739757933247526, 2.9892980358761063, 3.3202954949472296, 3.609799861046268, 3.977753386383149, 4.268754414189752, 4.177141994628443, 4.575292463985514, 4.681825141637515, 4.653281317877884, 4.915828216867629, 5.147183179951828, 5.13087244556552, 5.280723442816333, 5.183572081237356, 5.146293195388206, 5.086329948499962, 4.925424109823455, 5.141372124547475, 4.715804811495489, 4.818801613898749, 4.5846461798553975, 4.31986708224612, 4.199683311304177, 3.9157455006791704, 3.6254726203903225, 3.3846631746581544, 3.3044808594871298, 2.8166874287124397, 2.5466681660501087, 2.6279932225761113, 2.3711864042077293, 2.2941691040550576, 1.9958976186790185, 1.9434071780584201, 2.028672403704362, 1.8643583222157296, 1.7953319965752914, 1.6167476198553246, 2.081128117412579, 2.057134799995727, 2.1990424751429014, 2.37770237936711, 2.3289058537250042, 2.5893710989690972, 2.7546080999847935, 3.0512002892470167, 3.1039683507303053, 3.43060374737468, 3.9229649569542078, 3.8975566522875007, 4.211754487324292, 4.538092907503562, 4.787558134300624, 4.9846673592003485, 5.089076527491624, 5.121689242923846, 5.243420022790353, 5.3752829260832735, 5.524681480621682, 5.344290801154985, 5.547007234447272, 5.247327693130439, 5.333409997012321, 5.120990245686084, 5.136288669108714, 4.992136325061584, 4.685693961503133, 4.679620722239987, 4.336712573358363, 4.02007360974749, 3.7774744825838553, 3.752008790211732, 3.398016994753755, 3.2217112134800425, 3.0829955230141324, 2.651268572677746, 2.5853250092149733, 2.542889519871883, 2.352321260573698, 2.300030230498138, 2.1301759852493327, 2.1728432233927255, 2.205908182943846, 1.9849744690196585, 2.358631090119065, 2.4901581782543123, 2.312448851414707, 2.573142136692379, 2.7067160829623345, 2.991761152591453, 3.093305042377443, 3.40828298868407, 3.4347325071344703, 3.66150693272463, 3.8938596728360984, 4.28656352377391, 4.337926185470533, 4.65978776492657, 4.961612584341439, 4.989943917251472, 5.4518214739866835, 5.467635561938875, 5.584265251707083, 5.760532481425902, 5.55460637759339, 5.8900493256799615, 5.573640288352308, 5.741882774237691, 5.550436096858954, 5.56425421261372, 5.565822995915979, 5.145526208291227, 5.06471311693707, 4.9494656005158175, 4.638937397746176, 4.279718499065416, 4.218335501505249, 3.8806977719239395, 3.8416635614970773, 3.4453894067344835, 3.544879853599715, 3.1330437639877133, 3.0278186907449633, 2.746883954232585, 2.827516104406948, 2.551617212509856, 2.658006436148513, 2.382261565235863, 2.435917277650011, 2.3290916747448307, 2.479172367512219, 2.505249857281179, 2.5376921158930226, 3.0264882392441126, 3.114176730394283, 3.1168882592728835, 3.3893366020321403, 3.646044287687705, 3.8289601711403978, 3.94257194636358, 4.31845330691892, 4.522789241956803, 4.754025815319223, 4.883152197202865, 5.059768440261457, 5.597264064920614, 5.571058335707663, 5.714036421509614, 5.688534580321477, 5.7803759982505465, 6.121321827240183, 6.148079861581367, 5.9590094256498025, 5.899698831677203, 5.988447706708732, 5.783440353356984, 5.461654558033825, 5.740482280076595, 5.297337790121912, 5.224683570604004, 4.855567466715156, 4.857426172931494, 4.653714596590968, 4.224818625511517, 3.8340842994851627, 3.789084896086683, 3.653648373966708, 3.374039560310404, 3.0888607881733168, 3.2038159540630033, 2.921268685763774, 2.7794673061093267, 2.652883691266461, 2.579460663434283, 2.6799328019344664, 2.681231101169617, 2.624482119399744, 2.769190748713081, 2.9628353362437703, 3.0553973221659145, 3.296017743333998, 3.4102962106144137, 3.493624614726828, 3.9675663999017665, 4.217445489095142, 4.411339959370781, 4.390306895981643, 4.785460224886769, 4.941837467157647, 5.233957042390629, 5.490053997048214, 5.580868108816308, 5.944420210187804, 5.9400480923686185, 6.11932881132146, 6.213514146562871, 6.276354262015549, 6.2592086132983376, 6.218249115198337, 6.112741036420771, 6.181237781377113, 5.951588943286586, 5.783976233183203, 5.753282901442841, 5.562856740872876, 5.274814748030615, 5.318318329818273, 5.07236705347916, 4.641421010690479, 4.435532468313008, 4.242069575740091, 4.191037323851712, 3.857483912599878, 3.7989540694350725, 3.534220396754064, 3.274922089826408, 3.2974917792459277, 2.932679884074244, 2.9293664828404, 2.8199905427576737, 3.0794172687297783, 3.0021178269635476, 3.055800210830459, 2.83677734070379, 3.0952794707501177, 3.3344722660422126, 3.3924513739408124, 3.6479666447642445, 3.6639767493775044, 4.352114338780822, 4.4778865271546735, 4.402816033332235, 4.646057343571674, 5.010150121516163, 5.189943427410648, 5.4269642085331595, 5.809984806343149, 5.702927278493673, 5.8557294050566835, 6.144587119865557, 6.457775853949603, 6.389662535230061, 6.632150796798929, 6.31322059594839, 6.438825497158686, 6.347062765988665, 6.369474878817064, 6.126259819292673, 6.027875373860048, 5.886687071398392, 5.8629405917444535, 5.71060124080764, 5.4250471272715535, 5.233826290916199, 4.942208373855293, 4.78266900686173, 4.650245872925979, 4.134357478076804, 4.124078649174298, 3.8486167358297223, 3.6097838749251676, 3.552137970971264, 3.446982848423744, 3.378613491660574, 3.4220505261990746, 3.407384588496551, 3.26507475539837, 3.337869354387453, 3.1010145322231155, 3.3389922581118765, 3.5952549734233448, 3.4871783386409265, 3.7200431238803833, 3.8422610885416906, 4.149898219300548, 4.336691914101391, 4.671109487849996, 4.669169202674716, 4.843073216887971, 5.316395457541442, 5.561873995463214, 5.703418763364271, 5.8293581835200525, 6.003402497358457, 6.3639506259972665, 6.478476587586279, 6.4140919017424345, 6.504412224897577, 6.856126255446451, 6.880788467947553, 6.690414068330854, 6.638223991396355, 6.685186478383832, 6.55486179942557, 6.253756765795529, 6.067241321145631, 6.017955295196885, 5.8513740033892425, 5.695418920903293, 5.496039002877433, 5.507377281308702, 4.956547295775578, 4.72352773971585, 4.53202992077493, 4.351548057952413, 4.059754362659351, 4.091820455458387, 3.8126182469558847, 3.7538771462968654, 3.5354994742886627, 3.570905869566336, 3.563978903719905, 3.456437015331657, 3.342693402211923, 3.4690958640986578, 3.617081362293284, 3.896065275959593, 3.780033598061814, 3.9365128213977587, 3.948975933322758, 4.5740307974025995, 4.584181875093687, 4.683128546403636, 4.856179927347723, 5.2547803234849, 5.515234156701957, 5.789878676827914, 6.0143564351736165, 6.235449157905417, 6.300195923242666, 6.6145433829772555, 6.712073239745195, 6.648337567977275, 6.864139424552087, 7.06134209365541, 7.068937556482088, 7.071130961117324, 7.141156053606084, 7.024573456589286, 6.757020194987541, 6.613494389133656, 6.521681516779523, 6.396236010348941, 5.96998421980892, 5.716116371795754, 5.690295698888538, 5.355044730158342, 5.223696693819682, 5.089996957225011, 4.62019356018806, 4.56654961577992, 4.448464099288446, 4.273162477444595, 4.168375854511474, 4.0727236669494395, 3.751157163496189, 3.7426552447986343, 3.5014207057000326, 3.656979750944268, 3.70081546954319, 3.6995568945151875, 4.0534905536524155, 4.1038460454700285, 4.1719143466725965, 4.086087213729224, 4.386989602232621, 4.642033908313855, 4.870732028261885, 5.056940935259836, 5.333485505209883, 5.63752988541346, 5.6714314971848845, 5.9397709893489115, 6.27109643533924, 6.378788520989965, 6.558719306622797, 7.077141483197584, 6.987858372595348, 7.1919975539747, 7.193446222242187, 7.256845500253195, 7.157566659374342, 7.265099628340351, 7.493777087337513, 7.22646121516325, 7.203075462259848, 7.087097363208761, 6.841314834449878, 6.46972586130975, 6.5743821993508185, 6.277230013231143, 5.948243444980141, 5.760911390690516, 5.695608777842872, 5.422968476879108, 5.122150821478399, 4.967690939690312, 4.715433715086456, 4.702249269267897, 4.334727278915016, 4.238883502317197, 3.9666948201093315, 4.008640484885047, 3.9794206042707194, 4.066483476379824, 3.7838645547986776, 3.9834800606589096, 3.907622410889908, 4.266576197385065, 4.203443207465227, 4.521819396908626, 4.864357150134465, 4.9313778026716575, 5.221920457657678, 5.466413391193352, 5.579311520884124, 5.688766331572539, 6.232115267968378, 6.357730086274604, 6.569703261091913, 6.712880934902128, 6.949203408203496, 6.815150224377521, 7.42562680702045, 7.4457853244131496, 7.456001964765853, 7.479374111162576 ]
[ -0.06331336008694625, 0.49702006254279923, 0.7917953553843312, 0.9263225676655023, 1.3385117507321476, 1.627087679664566, 1.8768293618126128, 1.9143091295555872, 1.8417774215359295, 1.5296781586742252, 1.5701701105929569, 1.25880709987411, 0.8460133716927156, 0.6240547030526477, 0.24014942145083573, -0.10701070033190314, -0.7789989262645116, -1.140474997409152, -1.2639938440206402, -1.6927968951940215, -1.8900306460679683, -1.9340863699979534, -2.215330466198813, -2.2655832818655606, -2.015497320167, -1.8153175542143718, -1.506047518882215, -1.1443283912175135, -0.8109554681428137, -0.316883792481612, 0.13424994729429912, 0.3182417009232763, 0.6568697774564671, 1.1062057413830448, 1.3410470994638997, 1.51015345821747, 1.952763487995314, 1.7650823421809887, 1.5190916310397764, 1.5762761525100284, 1.1911716615734824, 1.0789561631100377, 0.6381834809312041, 0.12359247307888666, -0.47891826856665076, -0.5197629170998926, -0.9649133930632015, -1.5054623872209214, -1.725235675532494, -2.0268820467834474, -2.2692270750821892, -2.293225582012406, -2.1668740590973177, -2.086888068574243, -2.142422050372429, -1.9892041106105292, -1.7512205684506639, -1.3582608996684171, -0.9704904914315068, -0.5244901884712329, -0.08026682236494892, 0.2716762866168384, 0.603941278231025, 0.8563755860344177, 1.066707027697396, 1.3101583580700937, 1.330296831113556, 1.4011980528502628, 1.3705301999929778, 1.1687348249517258, 0.9311046315302977, 0.5686768406158029, 0.15465080164008813, -0.1948240620906003, -0.5201311745294511, -0.953196204028296, -1.3304141522895356, -1.845966547807143, -2.156143771262506, -2.305744549446159, -2.4925434459862847, -2.566964867939831, -2.7745553152409848, -2.6272714635832632, -2.3307983946706834, -2.0374821323863004, -1.6733350378694087, -1.5491697474277226, -0.9672109650467581, -0.4967927721679486, -0.17072321651239833, 0.21259703229736335, 0.5533391807107504, 0.8434258126033036, 0.9602494299884206, 1.1651241888158728, 1.1497318551891695, 1.1384017160814586, 1.0599409167264562, 0.7071341494793261, 0.5368809288573152, 0.22286930334265953, -0.11049420296621942, -0.8184223681546797, -1.1421966821294933, -1.4411335774979552, -1.6605513230306441, -2.111883655341153, -2.5557175562117296, -2.6784791404816404, -2.8179850981903938, -3.022915890898419, -2.87136664250571, -2.8852273106752104, -2.40100650785441, -1.894046020098196, -1.8887097814671225, -1.5003770024420282, -1.103733002045144, -0.7626492047038564, -0.15925147146949598, 0.23137997385088976, 0.30827315384489584, 0.7097917959464515, 0.911509038391482, 1.007107337205903, 1.0177431067034368, 0.9005544877158078, 0.7185903252388626, 0.41923583823780586, 0.15838588068002274, -0.084099150590802, -0.4445123010481128, -1.1206357680170924, -1.3607598943010244, -1.748193226805419, -2.199421571454165, -2.543754475402761, -2.896420602469856, -2.8657546999360237, -3.138101426674716, -2.9825100767344925, -2.900977839708396, -2.931509458062473, -2.5833988111849764, -2.3440645353089264, -1.7533010879894764, -1.5156741713574624, -1.0138865151750156, -0.571776285173442, -0.3839354775388913, -0.15747011349618567, 0.13718521671294104, 0.6744885985317216, 0.5620070344845888, 0.7250056035029601, 0.7561962179486288, 0.659752535138753, 0.22311933460410022, -0.027901159672438114, -0.0403613512852396, -0.4432751407042177, -0.8968926029698454, -1.2668108433929635, -1.9712534908733552, -2.321700835500995, -2.6660440378937382, -2.8556486430372243, -3.1286153645106345, -3.2065374149540893, -3.2619805648987255, -3.31248809321927, -3.131334249087169, -3.176009999045943, -2.630424735753506, -2.285657963592698, -2.0156245574617304, -1.5069318608895907, -1.2097950018451233, -0.9198323175893665, -0.5266712689575785, -0.0040388775562828355, 0.07562169929951035, 0.4090208305679751, 0.4660090614709608, 0.4998052705970295, 0.5442342989691374, 0.47261927041627505, 0.20277521062056195, -0.42026173760181434, -0.5483428907345009, -1.0869050173651558, -1.3720614644667686, -1.9628150386807357, -2.4669960400783233, -2.5690531959477316, -2.948345647751916, -3.3106431146672586, -3.234593409941347, -3.6606583638160837, -3.3704168751749397, -3.5364575063643398, -3.2460943237484545, -3.1579223743885216, -2.757084045705614, -2.4481357692343813, -2.001743865611167, -1.5161613697069967, -1.3289928335416434, -0.9442965784665791, -0.4101574842864182, -0.24997882462560048, 0.08911955025853438, 0.26033574945970506, 0.02095173118612939, 0.27172059964318573, 0.03597788929374346, 0.05265303232904604, -0.3866284972368168, -0.6180927618511225, -1.1171622620251709, -1.4226439291767672, -1.96203400395551, -2.2780628862710577, -2.7089402489933847, -2.9561509149050167, -3.487262477880562, -3.4540543525325087, -3.551410407394465, -3.7587609888366513, -3.8853402766630296, -3.7252034092322237, -3.546488293862825, -3.1696212971028928, -2.862493420450645, -2.3876682523118937, -2.127788073550637, -1.823632258156673, -1.4086580803847772, -0.97674613130373, -0.6113086198189278, -0.388904736487912, -0.056213191327689344, 0.013193482349869876, -0.11055442336526866, -0.14942442361864042, 0.06703782366664962, -0.29959575721306714, -0.6621905437491877, -1.1709510331585185, -1.5281785250883866, -1.887392266351383, -2.23100981938635, -2.577887026380512, -3.1340583841786294, -3.329927560301189, -3.5151885593138736, -3.830253805884242, -4.101807167977665, -4.056191336929333, -4.006612012205065, -3.7661826288860523, -3.6665121651445154, -3.073994709203441, -3.1196058214002744, -2.63579171205303, -2.15520056300673, -1.9383780824771477, -1.3655130662415638, -1.1830057514648613, -0.6596112769902397, -0.40953009768250204, -0.3120612439426181, -0.30701774097238876, -0.2819376733760557, -0.1321618416191668, -0.6204969770966264, -0.742055911705673, -1.187514089750972, -1.4775675997742803, -2.120639926000218, -2.2764133384568686, -2.6224064342218405, -3.2611579400786215, -3.3745723035677155, -3.570826673471474, -3.9783657025553962, -4.122554482356966, -4.242698908600683, -4.204508966061245, -4.109441362874879, -4.137382087924107, -3.656814273076914, -3.3538037955342253, -3.0524459808504854, -2.7316992800571227, -2.174367920226938, -1.8864855389339927, -1.4761401421671345, -1.181240046902391, -0.8068062440169571, -0.7118663665109053, -0.7611700680263208, -0.4160121170034111, -0.6497181833325512, -0.7406116356676415, -0.817813156621795, -1.1443501061417156, -1.562349095806751, -1.8726445893559118, -2.105979338332461, -2.731708476417666, -3.0014271095400376, -3.4783684984478738, -3.7595394021158426, -4.157021561227282, -4.2819512200224, -4.270654025804668, -4.532644525301093, -4.441367934662958, -4.3942508897501975, -4.248461250257032, -3.9374655006801635, -3.4533672357080563, -3.0169037645498635, -2.7215385169148805, -2.3308247282910846, -1.812439918873174, -1.5993505432781412, -1.2229091130920884, -0.7312389942030655, -0.5184128179131924, -0.5913522970659827, -0.6657400789673535, -0.6445356769475, -1.1596724812126493, -1.249362463776283, -1.491760112913665, -2.0282486069881682, -2.3032344242068854, -2.7473299928069257, -3.0880621084961275, -3.49772969943518, -4.042242745826287, -4.204951940352899, -4.198797693827691, -4.543893613863237, -4.802516678208579, -4.852969499840564, -4.633650684653521, -4.5383774669268355, -4.240957587304075, -3.868687131643019, -3.6732507649431514, -3.1580474548162685, -2.88944823415253, -2.46068088322068, -1.9697198336158506, -1.6190344766968254, -1.286068443488175, -1.1139840230848252, -0.8559620228836894, -0.909806850581224, -0.8022597970330759, -1.2151814443215168, -1.2824709603644253, -1.5077531595475213, -2.0016777876504253, -2.308930642669903, -2.7173262873441093, -3.1625808313016925, -3.4560266742005994, -3.8927993868323316, -4.235432219417837, -4.610826789873331, -4.741879516604153, -5.054323799604627, -4.987157848638585, -4.882198749987633, -4.8623525553111335, -4.650948698169974, -4.420103954164563, -4.063009547270435, -3.560692864457245, -3.3986971775523225, -2.7885986162055194, -2.447397421235595, -2.110132269254211, -1.7060698486864256, -1.5877106787267377, -1.265233018509863, -1.2347619595478254, -1.2477675899778056, -1.259342713684411, -1.3475086081363652, -1.609816496430413, -1.9701532390233414, -2.322709536578483, -2.7741444295087887, -3.1613217785662093, -3.574685727549318, -4.074136241254278, -4.542941473152817, -4.746797372579622, -4.824167146770003, -5.014761161370565, -5.077847878426639, -5.2038132222177405, -5.069149078181282, -4.986142364837629, -4.977058098501457, -4.382624305338896, -4.2192925353375355, -3.7890102753213952, -3.1476453868272225, -3.031772822335619, -2.7004746771037507, -2.051280684154856, -2.055120936027772, -1.9115086531974077, -1.6171799356761154, -1.3986723531638117, -1.3809885254677983, -1.4856382037103044, -1.6564707572678181, -2.043061841035816, -2.200350815778363, -2.6082915826509, -3.1818578023958093, -3.5416531667768774, -3.7540243874870383, -4.316297351142029, -4.4571541745648275, -5.239675787795706, -5.295318141969548, -5.463464884500495, -5.576967020503075, -5.538521826563626, -5.286967037793147, -5.179077685456077, -4.849419506939923, -4.611266717316895, -4.213853708750621, -4.017441744009046, -3.26893019093549, -2.7919123147341316, -2.5869026689574417, -2.2269937086579334, -2.0921459778720575, -1.9792036326044093, -1.6984557216110046, -1.7830011999478101, -1.555506181232444, -1.7479550090868812, -1.9716088853684486, -2.4715868323594163, -2.7504309898822257, -2.9752284310672374, -3.597753453138435, -4.003381657800686, -4.26748194899159, -4.776118962739416, -5.174714363634993, -5.316517682253045, -5.425685722859288, -5.615359271549321, -5.6232647394956325, -5.579844811760273, -5.372093795232183, -5.151892727208231, -5.112862588388277, -4.6063823206015995, -4.282922945044113, -3.8324469537563393, -3.252607136521999, -2.9221275516953207, -2.837676042181823, -2.463419108997579, -2.1764953606677797, -1.9094606378673087, -1.8354083687370855, -1.773249493862766, -1.9078256427564706, -2.2678625028166692, -2.467216206859766, -2.679075892312994, -3.0411362626199794, -3.368335184536555, -3.681627405302998, -4.3490925969298955, -4.702495224259588, -4.970168016138125, -5.4496810279403824, -5.660981967681988, -5.972380014480336, -5.857001693883052, -5.915921666878529, -5.7829183041503445, -5.63188924056971, -5.583967084514716, -5.050419535146433, -4.72259093852913, -4.494191861632516, -3.8994820387528186, -3.5853732218719916, -3.1555078434504558, -2.8868883367181257, -2.415414933324327, -2.4044107314681904, -2.1625411658205875, -2.0185951565089257, -2.2352464256893905, -2.3451383635475436, -2.5829428686426232, -2.9236169204991045, -3.1977985238034923, -3.398601876691727, -3.8450292933469195, -4.495010419687734, -4.694089775619128, -5.17873352828788, -5.522718588673109, -5.661996068981753, -5.953717589198108, -6.157025988884333, -6.251842580834983, -6.184782922487638, -6.0317668816413414, -6.03755270266338, -5.488161136064025, -5.139107758001977, -4.549752514095324, -4.249713721573444, -4.080046995800557, -3.4389497341307713, -3.025482801996518, -2.9581836207932577, -2.610691623242628, -2.441742595601261, -2.2852719457332333, -2.2334262518004904, -2.4782405201994098, -2.5241639149744546, -3.027939884146396, -3.154233726425519, -3.5086207859502263, -3.8210709403903493, -4.41732342314402, -4.795647282822492, -5.122094909746105, -5.557708058250983, -5.862073815062608, -6.1674381247844225, -6.2297889110969145, -6.293983527665362, -6.4229464592009915, -6.268281661554342, -5.958648434193797, -6.069610467245589, -5.498306183487406, -5.39979515416368, -4.758910518213529, -4.338211847972357, -4.161406284819311, -3.5653677005412474, -3.389370414721983, -2.7876583327025077, -2.851334756210911, -2.502919624500494, -2.6165107066423388, -2.628443531723003, -2.7221164672224876, -2.8572034218010556, -3.3262673740949817, -3.64436483393116, -3.8834644987544054, -4.334839362998018, -4.804567411104929, -5.216046324141262, -5.557804701576484, -5.885208207283552, -6.311417026002103, -6.32118527267387, -6.459809862776148, -6.535671002734289, -6.503752948210357, -6.480294330606231, -6.22865721250225, -6.126378374707162, -5.728877865130818, -5.2788601784888565, -5.037986508854448, -4.629805957598021, -4.071945984498102, -3.436511286266006, -3.5243431298718764, -3.004100532934321, -3.0202638268064375, -2.8989613380467016, -2.7785117419685754, -2.7553278012664815, -2.9503661231617024, -3.2590345676913697, -3.548900389279319, -4.180224946273141, -4.179432884880659, -4.653041422131504, -5.231402129719699, -5.469268994379032, -6.096224796281244, -6.395557261808591, -6.599217431395313, -6.660969067907105, -6.835085020153304, -7.090043104182108, -6.69718925006606, -6.77274650201335, -6.384176595217419, -6.046966684295063, -5.700561992720726, -5.32705816804903, -4.900255717421767, -4.400469920688675, -4.097217129652891, -3.7110458887251867, -3.4206090010106203, -3.326586692973758, -3.1731131792789733, -3.0764795936013645, -3.0222462558567695, -3.195399468345518, -3.4053972814121107, -3.5221128153618846, -3.821322588317534, -4.371936094045911, -4.917936475248246, -5.358187454676918, -5.586138756013844, -5.908616259160065, -6.514865928410477, -6.821960964769995, -6.896282117876935, -7.012168776613022, -6.992704239078116, -7.081347521245978, -6.945760423610094, -6.867491477548857, -6.496329538269819, -6.1205563761013995, -5.837711617325606, -5.450878587620587, -4.986832834144839, -4.638832346877776, -4.052880198173744, -3.877159498727226, -3.5128375651872585, -3.530533447402129, -3.2044459096679336, -3.183167676737365, -3.358488440925236, -3.2778711046768776, -3.671305316982043, -3.951158133009434, -4.297403248077371, -4.73963681097867, -5.065710605457458, -5.514382945723535, -6.012393327964788, -6.470759500320325, -6.74401344224169, -7.04740807822441, -7.269272832884516, -7.2277854426192825, -7.504970415506199, -7.343344517410844, -7.124952261713064, -6.940186204487154, -6.560267587310034, -6.313134816974657, -5.747135971717829, -5.4774142364508895, -4.973654208683948, -4.6807754160411905, -4.313405607176986, -4.209708579612272, -3.7172964385293783, -3.6935726398809585, -3.5401133977581103, -3.360145753159978, -3.8111660388424746, -3.780623276241789, -3.876136212101641, -4.408907478302654, -4.795945694407969, -5.111943011277472, -5.5975043778667555, -6.207824500366459, -6.286768827868686, -6.603975855803095, -7.02682012351083, -7.330339188505455, -7.470780200518207, -7.598767449098798, -7.403093180728349, -7.36677282058535, -7.241719691602989, -6.9978040883868875, -6.596061689344991, -6.340744617603562, -5.9182309708237035, -5.577541627643532, -5.316004829015947, -4.66928242421745, -4.418921875581985, -4.140380439903459, -4.0068662633055965, -3.8123547029799902, -3.669742224442623, -3.8219317273357465, -4.021103385982693, -4.242692301464819, -4.4172310212225305, -4.815568158965616, -5.0603573774956905, -5.70387639458019, -5.903319117491439, -6.458223114362132, -6.824786181207175, -7.1539330886846315, -7.310568287764365, -7.447843759222519, -7.7867238231070415, -7.994410083621804, -7.758824432201871, -7.56874667697417, -7.48294322095228, -7.12518942540709, -6.634327947103339, -6.57888424883174, -6.102406189387936, -5.490410040993086, -5.016277836667159, -4.695390955672635, -4.602726513743475, -4.383578346675925, -4.148131773566563, -3.9388004920788076, -4.10483104273337, -4.013068165635747, -4.166065308226306, -4.418497916216438, -4.8547520002403015, -5.183565597635597, -5.603808024038566, -6.1582995020394735, -6.4198348568788965, -6.9563123278170655, -7.201407399725706, -7.622301620262601, -7.919948765774903, -8.072048827718723, -7.953605813331452, -8.157672581199169, -7.904682672546851, -7.8335039184298845, -7.562067209404212, -7.168289493241097, -6.714712566439462, -6.530918710594992, -5.9716474579860614, -5.604751137953204, -5.334448858098265, -4.97841186532085, -4.477536317444, -4.51118978190066, -4.325846573587829, -4.359873859562687, -4.404135366131877, -4.500500726667751, -4.437448162839807, -4.803893132038171, -5.050147130522096, -5.703270749663459, -5.999738615861988, -6.395382623844097, -6.910197106004332, -7.319430871513516, -7.548296785162837, -7.698888193732335, -8.271104804061352, -8.365059373014732, -8.41456733507291, -8.111740207655638, -8.236015262589103, -7.928778500608478, -7.759452202244478, -7.200473676217156, -6.83850456814916, -6.55710277316865, -6.145021044337044, -5.760233382974392, -5.2730202747959565, -4.933314005232194, -4.861812968702758, -4.347493751244397, -4.44452426519815, -4.291424362314267, -4.520410511580148, -4.713941379009899, -5.0420256122734575, -5.388294836647257, -5.688406629789372, -5.957430064270667, -6.44688896513534, -6.737884704134638, -7.329934860875765, -7.538152519198295, -8.00870623679064, -8.344330898632395, -8.399979411472467, -8.489769122361343, -8.704046185956466, -8.36135077391298, -8.243178066714965, -7.964722112226123, -7.752905678956057, -7.343714757184934, -6.944415690141082, -6.576691252577612, -6.300603909463141, -5.844653292927488, -5.283266695388102, -5.114798474802168, -4.825914663136383, -4.792382565260651, -4.748037417107802, -4.850216710218804, -4.952945089186983, -5.023975613336653, -5.2146987164841105, -5.709518558777444, -6.114533148385421, -6.4041106433421975, -6.92632702208761, -7.3010479310405145, -7.794910246849012, -8.093871661531816, -8.121653356203387, -8.460404678108791, -8.706431648914378, -8.80784434210999, -8.613662646288066, -8.760586021208265, -8.237582364919193, -8.084731223990424, -7.806606900359737, -7.570281981299816, -7.040546442538426, -6.602682204504423, -6.18018864351593, -5.837376474006849, -5.6673713645335315, -5.274108601759857, -5.240856460518585, -5.035709412730769, -4.967779978188683, -5.049836411838811, -5.2379220440646, -5.41921377369194, -5.625769600235733, -6.118332026020053, -6.320484771553294, -6.742326957794241, -7.2356236170993755, -7.72313808888497, -8.21409900914886, -8.630017546669883, -8.692066294011264, -8.752756298182451, -9.012769698058513, -8.917391789640089, -8.802399951513307, -8.695227741687017, -8.474478971546823, -8.415457736179492, -7.82756076975668, -7.434617659831613, -7.200451578650945, -6.67954388606224, -6.355932867135558, -6.042043779023024, -5.777264304908817, -5.367468357873972, -5.4085529454318975, -4.998041475003778, -5.2687054431229, -5.269080383160603, -5.587282005671048, -5.769894758796953, -6.074379822768469, -6.444689135119353, -6.917881577924824, -7.18007477031129, -7.700913940320427, -8.169501899740226, -8.417071316560786, -8.70480399090432, -8.9305860658493, -9.093553798213414, -9.252592101645542, -9.142953312869135, -9.21058269302298, -9.014975756282917, -8.567837938274202, -8.294116740990955, -8.008433541727216, -7.705797909051069, -7.154918074686803, -6.802425661817095, -6.420487574266411, -6.07081889668943, -5.885771137735333, -5.542179715403219, -5.442786168052935, -5.446204989399619, -5.541091799834955, -5.401257255083302, -5.872645334549995, -6.262108962155636, -6.319761362297553, -6.717616695072482, -7.355339535049771, -7.541028610790462, -7.924469914117329, -8.523219418075692, -8.858559560276138, -8.9423450850292, -9.209378407654267, -9.330640651315965, -9.30956951998121, -9.484911727818004, -9.389710432414008, -9.01728947357836, -8.87012791154339, -8.352962634485785, -7.915711434570993, -7.654670745206356, -7.239072116897882, -6.8459396941549056, -6.484953518394944, -6.3667697186260535, -6.021883865095142, -5.770350032368891, -5.411993819433805, -5.504413630278746, -5.7242457784099114, -5.814857818140678, -6.344272438133149, -6.42796953096701, -6.924700753607565, -7.2728885764326, -7.701517812702572, -8.127986434296094, -8.579137110125755, -8.98634176453525, -9.291114861311208, -9.319802355469557, -9.728014336071613, -9.679382561008502, -9.807136984847752, -9.748507925546477, -9.490654947793365, -9.120638581253074, -8.997517302295524, -8.648218468753626, -8.17490506528192, -7.557389121885045, -7.170578814081339, -6.788146457159242, -6.6062192936183814, -6.173669075311757, -6.188885572989512, -6.0566241038452775, -5.952224037725262, -6.018081458543219, -6.054645218015243, -6.388667111248396, -6.52671834386135, -6.718990487074888, -7.172482759473553, -7.674613915245847, -8.075078416608404, -8.56858694295964, -8.933031943622487, -9.289197602281202, -9.544884992094614, -9.727111410761427, -10.023196639237492, -9.837429980827736, -9.738762287696668, -10.019082315211763, -9.530409563589338, -9.437572982064289, -8.755514648367878, -8.630725909635887, -8.123039344797116, -7.899343471995525, -7.521261679938429, -6.919521607500957, -6.653826030228268, -6.349648480895516, -6.247674721443887, -6.2276951012357165, -6.113423864588094, -6.2374554642705, -6.385992714705302, -6.568675988613221, -6.868251801679779, -7.1987576043548165, -7.850407909628526, -8.136717799267307, -8.58503306002699, -8.950383092675917, -9.29199743992587 ]
89
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave", "Square Wave" ]
You should focus on the cyclic components of the time series. Do they have similar patterns aside from the trend?
Similarity Analysis
Shape
424
null
Which of the following time series is more likely to be an AR(1) process?
[ "Time Series 1", "Time Series 2" ]
Time Series 1
multiple_choice
[ 2.6897846036867223, 5.2552917481898085, 19.837316873693847, 15.37722035378516, 24.045380509676683, 6.4163710882742535, 18.826735652986, 1.9555235957328811, 16.95678947451932, 14.326716516813955, 22.69134924483564, 19.765907676521383, -7.8643962994885666, -18.942879481676705, -30.91041270310017, -29.27702712149765, -44.077647423624846, -41.36618129057811, -42.41929703492377, -25.691345132551316, -2.706254030437581, -0.1863354848857679, 10.551412699534215, -2.4098543742264713, 7.200419169948117, 7.1131684589311766, 20.9550170402857, 16.12827684755152, 14.463151239462054, 20.686464553514575, 1.7652729413927304, -5.725267822637402, 22.883613258017935, 27.764275985587542, 23.84661988280078, 25.346395913555476, 13.828441156121613, 15.515587244419342, -5.6236341079219745, 10.535140473817435, -0.39578376116460845, -7.7908088432213125, -13.411895572619102, -5.460980346094404, -1.5609882155495787, 5.540365753487661, 7.62374495775892, 7.704731298519929, 6.817570547329026, 14.783686411144213, 13.497754797104998, 4.760427760047785, -7.383618197547781, -9.974038515173785, -5.258340999240177, -17.66384688831701, -29.056437959466823, -25.433350462092243, -29.377624445047783, -28.03243669220941, -30.11958892929125, -24.595503813630483, -1.3657232843378253, -1.8874258388356604, -19.879062756535976, -16.57515373815742, -18.852952669341274, 10.142410048248138, 5.213654119871253, -24.940278604931052, -19.923249155439425, -8.572526270128172, 1.2200546677499586, 4.573139951617638, 16.909050932719193, 24.182715717208325, 3.1745074580948085, -1.0359733250074408, 4.11029806779277, 15.6763233542635, 19.394004900338732, 12.249729337413765, 16.00240464740252, 20.297157732816913, 22.838434837481064, 34.55168119075314, 9.754364558888234, 18.905716537144908, 30.26498034442576, 14.496675722958729, -8.976282643542541, 12.030239801723535, 14.782656095288008, 27.36523572333112, 12.83228100979854, 3.817604170739484, -2.1887827906039363, 5.3394101379666985, 10.805038651858991, 11.99942775645918, 2.038646184244941, -12.99631229336015, -18.954514002553367, -19.008233008164364, -32.63145382608677, -39.2214686319703, -40.6318228062772, -17.131020767504634, -22.661983657246306, -23.659298853914475, -24.318572725251443, -28.044616684626593, -35.66831658573776, -38.76441060545143, -35.781509183635116, -15.72371420515733, -16.47050707345965, -7.515397333300401, -12.862197579566946, 7.228801706237906, 3.2740796889615518, -7.043582389398966, 4.335727871211616, -9.294765440458567, -9.043731594681054, -5.366395431676545, -17.16959433338505, -22.56104631759966, -20.710658658593406, -16.81261400514678, -12.917257503957543, -9.511520298271577, -5.682966328089665, -12.280214821977465, -15.391282831641071, -15.60102141256429, -0.9633320966768828, -22.173516928871102, -20.356339516069106, -27.929137137571722, -13.258976604265435, 2.6917744248990694, -10.65831854731778, -3.837488879150431, 5.979343002189457, -4.2223571827585324, -10.86907494742643, -20.581907560234065, -11.554196610946729, 1.2729404538800093, 5.251517059855156, 9.944612183706331, 8.944551160895601, -9.170299355185245, 2.8805140703854892, -4.488746312594113, -20.31947557045871, -27.775877060168916, -40.88320288749139, -30.38745294322684, -28.635441186174962, -23.350233019544945, -13.960765206908063, 7.6837259880373345, -7.87894583004082, -11.668062612170292, -10.252387372685467, -5.164020436563543, 0.5990610595702464, 11.377536523791878, 18.288939415404847, 4.0102304099197195, 1.080248689375276, -6.248264794275247, -11.64069155916938, -0.7571570413021611, 11.92927932097879, 1.5722206086074362, -9.217308504442919, -15.076932824930529, 6.778218147319761, -1.8723838796650725, 3.4485929667105015, 7.314378163347065, 7.980569544551215, -6.822937073538004, -10.609193866611411, -8.092468960073093, -13.43880957554358, 2.9978170468066025, -12.151879961337308, 19.9286589104169, 6.348990353281671, 12.852664396964617, 13.458010198116664, 22.126813023498954, 12.961972443162072, -0.9080973019255172, -6.58733007500307, -18.964304584843767, -21.10443975937975, -20.574644217036916, -24.91723326995794, -27.607326677162124, -17.909873529890895, -2.699209478282116, 13.984894248225244, -5.489994500885995, -4.243254342077076, -10.7168128795639, -32.711786322569, -19.342767899157437, -23.82446497959107, -21.539649033710933, -25.93002703745428, -16.072281996244957, -6.482129913127396, -12.732792918988121, 8.201472959873108, -5.913224783868268, -4.696806241119327, -2.0659068756789596, -7.948380405451582, -2.9034068950156566, 1.0174386453549742, -7.014538061948001, -20.5316769467213, -24.68524726350101, -18.29784041508039, -15.614617757929228, -10.251360504781179, -14.042033597139241, -5.095844926162773, -24.146528962502284, -16.078775240632286, -25.2537463646646, -15.886858018524979, -2.796676372043672, 6.863463548232907, 0.9569814516491286, -2.091714496778699, -3.024292460974463, 3.6579303012634505, 23.576386362096645, 24.65041688272758, 19.654564853624183, 6.104197405856134, 5.606167740154557, 7.189870849780641, 14.380851775837625, 7.006445390351237, 9.40846784184529, -3.8552750650508587, -0.9887285437030982, 0.6017946495341568, 12.619600571645105, 5.65042540348114, 4.222314724626605, -24.528072154283702, -25.042032077265482, -6.018799687017022, -17.5209885152202, 3.5347803897733705, -20.39927062397817, -11.93155714727764, -24.734764244757347, -25.735528657695298, -9.125657787479179, -7.203575535460803, -3.4761715472203445, 6.135807975915676, 19.89721402553802, 11.579594757050675, 34.21010770123109, 27.785322912476296, 17.84070236680723, 33.14047420492339, 14.988618424439153, 9.805960139287087, 23.164701049310068, 9.488153060292776, -3.8034687822422217, -10.333241993417328, 1.9370191957665561, 3.310649930814031, 7.92734624398274, -5.380994579107247, 0.09649651459582742, -0.5497786251327382, 12.402079990421624, 10.93684511497857, 8.747845412841126, -5.370544322103569, -9.733837551748564, -1.123523972995165, 11.363543224932465, -12.257384464810418, -10.157641005586791, 2.875138389848077, 4.272227501110348, -11.666194533995178, -8.84277627464032, -20.716717294256743, -33.21438909125864, -10.00380803408622, -3.7402550895825435, -11.452371362987957, -17.436920986809966, -21.072536247268523, -24.57407515394526, -15.99352523291097, 0.1408445595065153, -11.793123789622378, 0.7253284234460207, 6.411559817153637, 9.65909024940472, 3.5025255033537004, 0.2325914389941821, -2.502780727206437, -2.678670864494877, 4.836736787394777, 31.01919758264316, 23.615141698332543, 20.286707898744844, 20.180390603421515, 15.668103804968377, 30.04516899058267, 32.06461881947578, 28.403578062295892, 22.34609663895085, 27.548341102953, 4.239069100665208, 14.592475677316925, 15.49120920668694, 6.506436025506602, -1.4000400562544622, 3.310915043320475, -0.24595605486856797, -3.3299208344885374, 0.6028189038186156, 7.901392608059742, 7.279901628064706, 6.555111796412804, 11.925868229146692, 5.332891484486792, -6.766640993482683, 8.613870260727419, 17.457359869094386, 23.854498124972654, 20.899896031632316, 3.5386430315820174, 0.7475836764819368, 1.8113707595730013, -7.271659405266449, -13.259130032854605, -2.3067206439237697, -2.1389222253853037, 3.074232433478257, 1.794110933634037, 24.31081126968046, 18.075212608017864, 22.169819265083266, 22.34673600096926, 23.14660219031161, 6.7555501251002, 6.149039684936056, 4.654825870919886, -7.454537088465989, -17.26055516018838, -10.639375256765522, -24.415420393082492, -29.724184013322642, -32.60326909228791, -17.50850393351425, -14.393895815418709, -12.707874504308604, -2.9103825637980067, -4.159497006195354, -5.295435023748912, 10.682666412012022, 12.155885522268722, 27.10478964677656, 17.004168951212, 18.740662289686213, 9.554949055800007, 20.359882674008432, 11.18954034256453, 6.49009425851189, 15.543683237811194, 20.13134043366963, 25.741247953117444, 21.814432169974058, 20.65296171674239, 33.494571433116654, 5.152613729926429, -6.498127992808675, 9.01336485003281, 3.271418118882015, 11.925431429147592, 28.16059630619661, 23.312220057983673, 15.093152553733384, 7.331003087537938, 3.8127635961124704, 26.134985552592, 13.414750641879639, 7.906584617334435, 20.354534075251397, 0.8850170215060693, -11.693704983495888, -16.36327600634928, -11.540054283202519, -0.9824202119878613, 9.90333978782619, 21.429465525085476, 18.7930103807999, 15.999685440255323, 0.6694780048306708, 0.21843995375308295, 7.216013724784584, 8.749413565873214, 10.672671462997892, 14.472787942528118, 28.050738296228662, 26.202440072263986, 17.179086105143956, 12.52185864938204, 30.027073311121722, 36.473078606391105, 32.38420554365075, 25.273269504659247, 25.2668897218765, 18.98986399376188, 20.91259282940274, 10.737040509509686, 7.1438211707643875, -4.708873756039104, -5.037879268138948, 4.968327028220741, 8.123256813459436, 2.108673486918047, 1.9472327183710378, -5.927964240575658, 10.854389082901573, -0.4914043282921696, 0.2992439774515527, 9.710678488838, 12.905330015330112, 4.638137726048737, 7.157121334970658, 22.706564742974507, 17.15447430570235, 15.736697618232663, 13.11553233125522, 11.017636805831732, 17.187867127259075, 26.864034702684748, 16.733591382882732, 27.811877926041067, 34.39972017601497, 31.91377101344525, 13.066596137199213, 17.249303339027787, 17.477923335987448, 14.638822434897271, 23.805250305941975, 37.4633794646738, 28.08098505381895, 21.332835548793334, 17.99504974110987, 1.3130980004250343, -1.5792138420283923, 21.58998131897343, 28.855835588925054, 23.48888062453228, -0.7462301725617095, 3.3873655119368795, -1.193222018996598, 11.872861290657351, 11.32103942047419, -2.459125525186483, 2.2553255594521406, 4.236730590800292, -4.17252137947127, -6.436558961259022, -12.919382375639731, -9.690242406197125, -13.47515633886789, -6.742394147662874, -9.55849148156962, -1.280445344800615, -11.496495882058586, -4.959060325518504, 8.105881901269822, 14.927430785307282, 3.5706195136099392, 18.718862774174696, 8.796645336828297, 16.675272548824957, 29.715003364751276, 37.433537123385506, 40.29953332630347, 57.156273259691915, 46.98042064211459, 38.65787413831164, 30.390953368602112, 18.945533274833338, 15.994764327146052, 27.749455394397437, 24.508161324267295, 19.900004500961224, 12.398608720078338, 25.963044922411136, 4.007408745424037, 13.196836558552153, 23.744747045584187, 14.139754390500771, 6.26506508945493, 3.460123537942825, -8.397391260373224, -5.770498147372274, 3.7423939999697327, 11.90801116524529, 5.670907424874361, 24.89883681272311, 12.549053729508032, 4.579120608850796, -3.1643039219669946, -12.984293784368399, -15.96651558414085, 2.1694883159666, 8.37211561770253, 4.100393096735722, 13.900860148501538, 24.874583307934877, 15.876396402878703, 20.750901620185722, 15.709335998447997, 19.470473501310046, 24.89389397973557, 20.044945029312185, 24.212860908952166, 20.486435899789736, 7.094450050574453, 5.8937070923935195, 4.65872261727629, 8.76247740687339, 14.116284917704766, 5.114267907197994, 16.482625968870927, 19.106668031173317, 19.3910804822935, 12.104966012114986, 12.487401106284711, 8.671794975609952, 2.7303151814353637, 1.1617924183488595, -17.813307426546487, -12.689825290311743, -5.268015231615461, -13.195190318128995, -10.988938658064907, -7.741633968852652, -13.418989772599476, -14.651331129560234, -9.831801209739783, -19.739374656398788, -18.541446069219518, -28.939560077405552, -20.61659743928176, -13.138872439419975, -3.571423507174498, -4.20226302864209, -9.21730802703917, -9.956941978762547, -9.882670788288431, 0.5600593044867876, 9.163747069355548, 21.23462173658747, 14.92116331018052, 20.091108547810478, 12.09877949045913, 3.942739396191203, -3.6315133433100537, -4.129261653809275, 1.429783924360664, -0.9854436729207485, -8.772338817146357, -1.9525685907603751, 2.4964887807705347, 18.570724876995918, 17.489130803260064, 28.391393610233045, 43.74660387938013, 32.881895929471, 25.022595562806593, 6.6151261269909885, 17.12737279370093, 10.804692275448161, 8.456560775630878, 0.08528273130861841, -9.78262191929823, 2.620024416698585, 15.539090844290774, 13.39181283432394, 0.48361181203115144, -16.899749766523275, -14.648940693370015, -12.086441565774116, 2.436345406001122, -3.5405068208655055, 6.954616095418578, -2.475045601473333, -9.497043710451283, 1.4118247223472329, 1.3519394316728122, -8.236278990068534, 10.811899311749453, 23.16596472408556, 5.10283164674739, -6.526977119077403, 4.010805474628264, 8.39461966418007, 18.944648062577265, 17.37134275870532, 19.7577958544359, 17.513872837991993, 9.07846916628547, -6.030685438711774, -13.439165940483734, -34.47272603613842, -33.06494063280439, -35.01595336444444, -8.35809409504321, -8.681023345938545, -1.1543759981824113, -1.6519681284978147, -13.047962983262842, -13.00740482559798, 0.32017740502926095, -10.168530800854445, 4.912899593356142, -8.73367030819173, 4.457200960669258, -7.442239522057516, -9.015681976113296, -11.893967227536606, -19.36842621103415, -16.578247984213334, -10.08460374918104, -4.422573176346711, 6.030458841527883, 3.6731279652940616, 11.46384373588759, 4.028840822341327, -17.432303197094065, -13.875308164323645, 3.075435285985101, -3.4878350892492684, 11.936658873123, -7.4720300373520825, -16.73136638573563, -22.60602145888734, -13.85375738862166, -9.530653688829855, -3.9116854532411587, -10.139463150604424, -22.44682401754188, -7.6076913240603155, -3.678310434130058, -17.574573395804723, -21.20917146396015, -27.806469013191887, -28.82003171295189, -14.153931232382378, -18.272747524538822, -8.213301711804943, 3.306371417042495, -1.9706573259417688, -13.748305200777336, -19.21045443171753, -0.46249760070868184, 8.704362971536453, 20.67922927816194, 3.3734420805597516, -7.25803631520624, -13.859567742147355, -8.346592073876973, 2.6732174643322706, -1.8046640980963544, 13.585333079789507, 6.644440432475987, -0.4043051968872602, 4.710750402788456, -3.226229118428291, -3.4370324004685884, 13.197001487344057, 0.4652221113765691, 0.8983903412812961, 3.1806451755329044, 14.760624446867993, -4.601532564407625, -6.2475613958533485, -5.908914296337354, 3.270071876513363, 3.770817503667232, -3.627954262454466, -8.51338020963826, 16.667729768441507, 14.301579551135758, 18.303066524374294, 16.24459666632296, 1.2969942583662668, 3.707990314824302, 5.652264566181735, -17.14017386352324, -16.545524755777002, -12.411998877406967, -5.386557882513264, 12.724284445998354, 19.36770392015636, 14.851180014623521, 11.314495626985053, 1.522267522538467, 1.0803296977760735, 3.2170042714009743, 8.208392474460656, 13.738467336743469, 1.172973593278142, 13.107266448941127, 11.007339094624188, -10.695108655946564, -3.7359167795006085, 5.2751153142320435, -0.539899313946056, -14.494053866648176, -15.927869836834468, -11.779608349983324, -23.17554362341143, -6.174569293066211, -9.784803564794903, -12.305676613432766, -19.614626061558436, -9.239917113486518, -2.5030219571805556, -0.10357238247965395, 11.21440610005278, -2.336965324496507, -3.082123950352405, 23.681587255632163, 34.58282482079903, 20.52947911885716, -13.631815444413139, -12.041192651535994, -7.434284030744747, -15.05847256588292, 17.194071737117927, 6.3126568455524135, -5.1626569612713435, -7.17846674681544, -14.980948902672601, 3.6148916862137437, 3.8390686844734074, -0.13873069558720674, 4.821554217904436, 7.722587436079366, 15.032972093856042, -5.173334718285766, 2.584490564274465, -7.19532137160907, 0.4451474873837693, 10.336884692772824, -4.630668543503601, -1.0272280355150216, 19.15318370633365, 25.74543300198969, 21.67451248821679, 24.560224444649286, 23.18221768458658, 8.350163531107524, -6.581067008753586, -0.9366189189634753, 8.033322118420237, -12.310438621338019, -8.617539451451908, -11.763931918595603, -16.657350372722835, -25.170837830299845, -27.07621403741548, -20.352027441441532, -26.005536698129795, -21.342698647961, -19.15204331249212, -13.795514559774798, -11.425880993911356, -17.152335170951222, -12.181238454744848, -15.582264619872227, -1.693186831459803, -1.8334508049618061, 11.139434358091316, 11.4768301538183, 2.057885301365041, 8.274802564229471, 7.957500215888717, 13.040000019763404, 12.579943487981842, 15.187524591643008, 30.671958113924173, 15.628645216208628, 8.937479136644649, -6.45180184041575, -7.776421035673501, -6.173581752539584, -11.950156146841298, -24.81882474633033, -19.64693260424605, -18.271471189820222, -14.938059462996065, -20.582927481815698, -11.33724551528639, -3.319173248419256, -6.331717530165042, -9.590451571408774, -13.471019813777335, -7.627874632582463, 0.6004458253601568, 17.98055130860699, 12.686901438187993, 12.217942403815533, 8.233239973726697, -2.9896348986916363, -25.50088054952811, -6.987675931557327, -3.0186444594274993, 8.785463157657835, 13.980953441574208, -5.2360759799728065, -9.396444192653528, -11.381348719422185, 8.072023994216645, 24.2112063745412, 20.54078133209756, 28.134640906594676, 24.259742904109313, 29.548943248556384, 20.489997923671947, 9.512366274401213, -6.952183955711982, 4.100058945094381, 11.319081090714821, 9.306200351086133, 13.01035128495275, 17.227839490388345, -2.3512796761928616, -13.542252912586928, -36.486143745228915, -5.210727466585478, -17.45414336232114, 0.27608204509924583, 2.235861840821608, 5.753041592429143, -0.348930470882995, 6.175017066442312, -0.09496520009971032, 13.87519374180094, 17.000345765960944, 30.689221992953165, 11.015029121767903, 16.102532890410952, -1.167135666948628, 5.266047057970797, 16.50081326830056, 16.78415514311915, 21.48617289719372, 27.208815504185523, 41.52502387522024, 34.606917217680675, 33.736568638388114, 32.56006030982177, 32.27299015280749, 47.107677321322505, 41.532588772483415, 24.03221453245685, 10.769588048984941, 3.7154355819635665, 4.443201011051745, -11.391723900685609, -14.390869228236474, -13.236512019849377, -22.25889548968859, -14.152571071540038, 0.7485587159330915, 19.383784837349115, 2.1339609490264095, 10.290952332831347, 14.262827731204602, 15.510699694947292, 7.857989329261403, 15.360882160963984, -13.612656439850795, -4.7659676408792855, 4.225206978214757, 6.217247018881501, 22.542484477330976, 12.568422573104362, 18.95188571035311, 18.430678650600456, 24.243806236225343, 45.803637815812834, 31.568630913800455, 27.14777859181488, 22.022630039755683, 26.391881951459244, 16.898875196217126, 1.7109779376947767, 9.212111380185513, -10.82344623548099, -6.744884854519505, -10.32089882483713, -8.176880366958422, -3.8957927337841776, -6.588655230171831, 14.355864446994334, 1.36148670848522, 4.012937310647188, 15.314320226815365, 8.6454737391409, 0.7642452314483439, -0.7055572230983622, 5.8349380385337595, 10.999058078636416, 4.424287703144719, -7.726796514832448, -2.763367905619739, -3.079872305588844, 4.4118445507155934, 27.645838631519908, 10.630897381602255, 7.6127542756891815, 32.182187318027516, 41.573950584124184, 25.69388789967175, 13.787942755589844, 15.044976978495246, 4.978561135016597, 7.515772949359035, 25.290106904865613, 30.718669003165516, 31.506613413360384, 12.48765619571577, 13.488431799192249, 20.65879749655003, 26.73282517097944, 26.993281286187063, 15.287657233464849, 15.196338252673229, 8.496923182279218, 6.6260430468133436, 5.053422834330512, 14.414769258093834, 13.99953219386259, 10.657876822651192, 2.842378378634055, -9.093498851971589, 2.412411628139653, 16.547683884670757, 9.599892475324657, 12.976729324056082, 12.156332370754242, 21.28973872984796, 26.08544863445797, 23.878418565889575, -1.3617897426201893, -9.621914498771353, -11.393972764392146, 1.6373094435197117, 2.7230695942733485, 2.1099134789679193, 0.7587312240886834, 4.198651955001259, 17.124857460000882, 8.495883131294523, -2.3189281344953354, -6.976258855806677, 17.09137374109425, 6.377944820776332, 7.592126568279447, 10.348254756478642, -0.48316152274137636, 4.640145394595057, 2.8917256558814577, -1.7796799128116132, -6.19153429371084, 5.415896350909046, 2.9599190566913762, -12.764654557137174, -17.868215474962962, -27.807540077341677, -25.806360273304136, -24.492803253197163, -24.449782543744078, -13.573424199249859, -12.004052714677188, -14.952271171338579, -13.86551016701936, -29.717223878644155, -30.898790689962254, -27.94648540067723, -11.460539932031583, 5.403522805304023, -12.293044689302828, -13.906440655828867, -7.605324842398747, -4.194127874457205, -5.832107319095647, 9.29060615323131, 12.789516451533704, 18.169666036256427, 20.7641500392317, 38.14619311098593, 6.732154765532883, 13.638616706376327, 14.341190473476136 ]
[ -0.1164573933939445, 0.23810559116257696, -0.2810884203259812, 0.1661815278870729, 0.928772801260468, -0.38054685685039275, 0.46154287580219744, 1.064839539616502, 0.08002693520326286, 0.5385932510719129, -0.8895389470841244, 0.5518124389091567, -0.4796711685257891, 0.2988729701203639, -0.2873909564084267, -0.038965901934058654, -0.5465889963187708, 0.07560429548994928, 0.09606954970379648, 0.20291889099704852, -0.18948893608566048, 0.17717853848711504, 0.12250269033640439, -0.7751805880900069, 0.5520170377796831, -0.7319617381807177, 2.051044202627225, 0.48744438751221364, -0.14507457951946975, -1.120484809786356, 0.188786941350741, -0.3269852512126981, -0.212450172006227, 0.09644397349130684, -0.643158108948966, 0.46780924362596793, -0.6882402364974927, -0.3417299726159068, -0.08173383593786637, -0.11900079123361913, 0.196362905312311, 0.5149330441440265, 1.455847627571821, 0.0638662710068041, -0.3382410752632181, -0.6613640650470266, 0.7737112465137869, -0.2491679604297614, -1.230008880722567, 0.5950399830795063, -0.6427255762758849, 0.9221968604033909, -0.6817165866255576, 1.1053384086583138, -0.9088843013415779, 0.9232688303022323, 0.9130152214241778, 0.6150983174690047, -0.5123505827492, 0.3868190432303182, 0.5329541005106987, -0.8528903685719973, 0.564018306168927, -0.36088731712725464, -0.5700174505446868, -0.12645145801438773, -0.6679938396953223, -0.6449725781534977, -0.540957203233476, 0.3193281808368213, -0.2910810231903178, 0.06070231237920922, 0.18193784169721341, 0.3911650345878139, -0.08431462784887346, 1.8612886561623627, 0.7319368822087264, -0.7341094265892509, 0.35124853863250033, 1.332273976469535, -0.9380052775949838, -1.2150256300649998, 0.14768601573440848, 0.2620975906566474, 1.0880209508453988, 1.0170318284239748, -1.0249072329363267, -1.3679057723785641, 0.7236625651222646, 1.0247293548685226, 0.12589554380690424, -0.05016718468416918, 0.5076383613949539, -0.8576178505982949, 1.0836624949282934, -0.2608464694759301, 0.7456469776197443, -0.14923964347388752, -1.4889908711309405, 0.15315337553870076, -0.3533737339623451, -1.0430689978606325, -1.659584480548534, 0.4334447442894712, -1.1672670733347381, 0.3486731255897983, -0.3003330212153773, -0.6623360150819722, 0.0679390773114819, -0.03513101257130713, 0.09180060114083334, 0.5326624929477592, 0.857895830811284, 1.2672347944604367, -0.5970091898999302, 0.39448210499056396, -0.25377896788667015, -1.0558010079355975, -1.5420673627565247, -0.5700747873539419, -0.609016049001748, -1.1946711766724274, -0.5241582609496638, 0.6105235609462621, -0.4683507076565817, -0.4520993217360749, 0.020805217763067495, -0.719159524316519, 0.48600573165232, -0.5430634239640475, -0.5176248083704061, -0.6197041040930164, 0.32601974259566135, -0.6774836571798754, 0.2131357762241206, -0.575262533456065, -1.3321876856175652, -0.8735494283916375, -0.7695035329742099, 0.5993222962682153, 0.27268969442008234, 0.3211743724799901, 0.9045576983308194, -0.3702691122006555, -0.9627135357145401, 0.3983935394248603, -0.521750120095399, 0.03356136807821955, 0.42059189089687693, 0.09389449964223737, -0.017905419534119095, -0.8075545669875154, 0.5810404119919398, 0.40287855201572187, 0.32208441406407884, 0.43932881349582426, 0.3536683980133154, 0.4762535115574087, 1.104858868468984, 0.549620949290376, -0.0712024898034483, -0.8418065558028766, 0.5242917859783854, -0.25323588526497465, 1.4657876333460613, -0.4488533460884275, 0.5223326951872994, 0.4142390741453845, 0.6246205292959093, -1.0296847462225103, 0.0481074496197208, -0.033089973120527964, -0.46288344472284537, 0.4044317179143435, -0.7232452791285581, 0.4489491542044608, 0.026429807298314408, 1.020139881897151, -0.5902221690501741, -0.09978313474435775, -0.3852647058594391, 0.788407870866483, 1.3670389346635103, 0.3698148775522764, -1.8050587973217307, -0.5495244519572957, 0.24222586781575167, -0.13004996341869504, -1.4181252239091573, -0.5815830246061496, -0.3441058118099942, 1.1623041902635827, -0.49051624129838306, 0.157345708827902, 0.4877315354989049, -0.8685678963614889, -0.28247123766025256, -0.5467812633185773, 0.018784665962663014, -0.590302526133785, 0.41325637225380024, -0.5063585657181898, -0.10678782492932606, -0.8105283684758957, -1.1925086275359165, -0.28219785416796433, 0.47443101099406626, 0.28236928176263015, -0.4175354778875713, -0.18769899396225692, -0.24760296317453404, -0.6761981044351277, 0.6417649500671911, 0.5772283755764236, 0.6774241964527687, -0.16290232114554837, -0.9768455316953512, -0.005679838560964022, -0.2650545999712027, -0.024381583870313934, -0.18626228263120773, 0.9068548198435975, -1.6577138622645442, 0.19801277015064334, 0.49975747670635084, -0.17086120047068623, 0.5068681790800502, -0.12238205635214006, 0.5667408936586559, 0.2574544430410074, -0.32587136139456985, -0.08713071225605568, 1.0100536696372064, -1.0966542023958046, -1.1310469516709118, 0.467580475990221, 1.4961638512086526, -0.3928284719536423, 0.2322912803747305, 0.8194664309032686, -0.7965391073572763, -0.29827788526403026, 1.1293145160534794, 0.09611563749893007, 0.3404032993576575, 0.9744082427220996, 0.27463371204834075, 0.7629143768746868, -0.42479086588262444, -0.14403254608737168, 0.09493400486112687, 0.16293955270364616, -0.45922442138469305, -0.28750562338101127, 0.9992115142928999, 0.1252520460061967, -0.9554594064639661, 0.19060514979431856, 0.42090879254800434, 0.5553627641158332, 0.3085636288099265, -0.17151955057898327, -0.4821795733453652, -0.6443115831409356, 0.4473123778748752, -1.2735922185201083, 0.48156754949676867, -1.02081406294585, -1.3973982428223275, 0.29621087211057606, 0.7828601802578833, -0.5059638596127628, -0.015888315101509655, -0.19189730635288857, 1.1163801987205593, -0.49087212369714706, -0.3011133651421526, 0.9857301340175099, 0.27177444435497294, -1.1926368538984549, 0.8819963988821767, -0.3254781430632538, 1.0273044712563222, 0.02278295223467573, -0.6281584256189308, -0.08433308342047721, -1.043841861809744, -0.19217929802358139, 0.627680684181101, -0.5170614492122179, 0.8215637590301226, -0.3726555755461135, 0.33707669964319636, 0.7589353158550604, 1.0627667722519671, 1.2743241699356578, 0.647068725246118, -0.08787623719979569, -0.10109045765452503, -0.5483335842984615, 0.732810638329348, 0.32064579543276944, -0.669992692815552, 0.13049567588527847, -0.5565897500907409, -0.9256782832865454, -0.11884785556869344, 0.7248002241531676, -0.6584058338732199, 0.30741649988282577, 0.9348684450796287, -1.0575823582051445, -0.0793347933756948, 0.20568486118032622, -0.5500880793766573, 0.35615334688854383, -0.09263809900054844, 0.3987289665881042, 0.042527365258233, 0.6444356413979471, 0.6816285867338361, -0.02352809820664746, 0.060098447325072364, -1.4488168014461473, -0.32760549747731454, -0.9681638849664896, -0.030571416628683016, -1.074472541413606, 0.03457343229767173, -0.1674776856072225, -0.8720278139071655, 0.29169859093750866, -1.1793354665747098, 0.011120431075072885, 0.5592422594572888, -0.8565889155539699, 0.7146102302366871, -0.24734183381787095, 0.5334784643499163, -0.008039528310568896, 1.349572549511952, -0.9320378565025673, -1.3812288807576762, -0.5370570555281817, 0.01823969773736641, -0.2985425999821719, 0.35473867440278045, -0.12570101582352639, 0.11354740397915206, -0.028516497343830258, -0.8617571412455889, -0.07414410303101192, 0.8129009077236339, 0.7201540084226243, 0.12672682418765915, 0.49397332183260445, 0.4949704139977958, 1.1411100417995061, 0.2636900262558437, 0.17989355257661882, 0.6347963154666287, 0.15241331121468654, 0.2311011938026296, 0.41224147411308737, 0.4491052269179121, -0.11252366253078597, 0.8764048652715191, 0.503937085222938, -0.541414429719602, 0.14503658299019126, -0.7899881293751112, 0.444947207845627, -0.3696850903107044, -0.11675944751719, -0.47510076235623505, 0.7912145089016135, 0.0704634336983346, 0.2855261536721877, -0.5128468470590519, 0.4738325880983706, -0.2760777900416585, -0.30123324478911956, -0.3430168633271629, 0.025437640269197887, 0.29166840807937355, -0.014815331590392564, 0.4923365080875356, 1.5772107355303078, -0.25619515020382244, 0.19146686718825487, 0.7451764395591686, 0.7523501075229119, 1.06600419373249, -0.7207247483396133, 0.20380379542487684, 0.19603742169069283, 0.2071572589463927, -0.7567866430729927, 0.7648402436644579, -0.9816989910797072, -0.5127818536264613, -0.8867070440620576, -0.5950802955125144, 0.9001113533964037, 0.14751270855474927, -0.4834746323940526, 0.41828867551577287, -0.021545693071582786, -0.3265065560241372, 0.13881381530199913, -0.2707163789567526, -0.26471772218841194, -1.1952834433926134, -0.7346088594627272, 0.2826818908224916, -0.37857427805033605, 0.43258793420820474, -0.9635024771237294, 1.1557173090286905, 1.3551213131215714, -0.2568343556211477, 1.1673451024771226, -1.242833076617998, 0.35477728696648875, -1.1194536201151495, -0.7130019847094301, -0.4408431378635337, -0.0961129619421287, 0.13482798308929494, -1.1359733809957173, 0.36915449940928885, 0.19062784321019285, -0.006304006837182218, -0.727857134845388, 0.07101924428261598, -0.6985196876536592, -1.0329915089747959, -0.10457776964404794, -0.569091854720581, 0.506840010647431, 0.4471450410662103, 0.15648396095296951, 0.4507519444761697, 0.46516264227222853, -0.6705877624040472, 0.2211991997358729, -0.19195280885568977, 1.0461115494482742, 1.4205438692359358, 0.4133006347813429, 0.4939588035023863, -0.5834561750202463, 0.20288025450182798, -0.32856645821697494, -1.161677752002182, 0.010933000655759511, -0.7234846330390781, -0.8012697833410484, 0.09253649757203379, -0.05604671672071608, -0.9584904966920523, 0.6154470071709095, 0.271850197838048, 0.8178572680836045, 0.36000529285374283, -0.3949018184228061, 0.02805803216284248, -0.28812947332448097, -0.1467347785355269, -0.1603058307484987, 0.5192320965773801, -0.3024120282810794, -0.32643570513686343, 1.1194372707714522, -0.13718231360898242, -0.3162566623528603, 0.8396856959391634, -0.061223395982477086, -0.3477411439238012, 0.7769195677591579, -0.059115671126897945, 0.0817732596299357, -0.5793301529862032, 0.35593981205645775, 0.6425328561145658, 0.008823507447256027, 0.637223141438119, -0.19948585686235318, 0.37866904418429587, -2.1244576891368627, -0.3947073652522058, -0.23339623666964912, -0.10582951878567545, 1.514923170236398, -0.6251854099116237, -0.2269686106379702, 0.06748564026546831, 1.0768228164815983, -0.06874823689998907, 0.480804377282744, 0.160167391364716, 1.0715444652995962, 1.1051299477212335, 1.283385529029653, -1.7225151089355943, -0.30291198486857296, 0.9503990381827999, -1.2203985140092373, -0.6225539407157346, 0.35705434159871857, -1.0160471278590593, 0.014812965062323612, 0.6589178423682573, 0.23723720231216716, 0.7294700073574978, -0.611180203205519, -0.3801705925485729, 0.3375953753148294, -0.13000878846263436, 0.21555517386401749, -0.014248047430408556, -0.8232487684122426, 0.9168736788784744, -0.21149860534596474, -1.6427508047960993, 0.32159924163652215, -0.049739638354597986, 1.063772044248993, -1.1125093799383872, -0.17493691574336756, -0.09924041536726877, -0.8601265822880285, 0.9021987637377475, 0.6700856078516858, 0.41375326421700676, -0.061351381670919886, -0.17130329997518384, -0.11449117233154915, -0.43998591268035264, -0.5374500175485486, -0.4869399513277448, -0.5954591820702795, -0.2474035336671621, -0.26792522246815104, 0.8925825032652152, 0.1304778513306563, -0.9410675921775683, 0.9333477475909573, -0.31663596640208075, 0.5749683186930276, -0.6632426208853253, 0.2035666907507059, 0.07074276222361588, -0.5236602381645525, 0.46845070196443117, -0.5723526569720769, 0.14889782536771878, -0.13163387863607606, 0.05551314735286496, -0.2855233177319649, 0.07723077747716815, 0.20197523576236492, 0.06851729498720445, 1.3536761767839058, 0.20419515452534695, -0.8050108322075353, -0.6222786728309545, -0.027166796484613873, 0.7576198199940711, -0.5637885942900773, 0.25223495996484513, -0.08780012845592906, 0.7770897365832053, -0.9982524105544752, 0.7455585785168307, 0.5462781475083077, -0.24423957487929135, 0.2376622332535715, -0.02473402116714062, 0.1106932138671871, -0.11314060347732655, -0.05483602909611081, -0.40204829896199484, 0.44432468969761424, 0.9326552792560069, -0.0508273375198589, -0.024812650018571292, -0.8061435642898618, 1.43359625798694, 0.7871044986509341, 1.497786914951102, 0.5757364159854859, -0.14443307992409338, -0.13207015937537187, 2.0306297504314905, 0.05496132491503975, 1.3535338482993502, -0.279479591604006, -0.10441319521147556, -0.09596986726788502, -0.3708325420898763, -0.912899567410909, 0.044734076107231076, -0.2535305271924168, -0.6855504151539068, 0.7309446212497346, -0.05121085693901245, 0.14406378500671085, 0.14599913915584758, -1.4562101630105366, 0.1154547727408766, 0.1337525908905135, -0.12125079806031444, -1.0649254988300578, 0.053955837106488845, -0.6891739224660415, 0.3199441823508818, -0.32131218744110057, -0.10855625629418116, -0.2755968993255192, -0.6245071283865822, 0.5037091720300537, 1.1099991562067246, -0.8800529102119156, 0.10294855812008709, -2.452737430429057, 0.89288601533738, 0.025500670378789544, -0.4185579498600036, -0.15267011830260926, 1.619453923430897, 1.273270695875027, 0.8285001464341423, -1.2185968201388906, -0.1891434672882519, -0.7288312036356914, 0.6094925214708399, -0.8620916710595371, -0.07715969219175603, 0.2700550858835387, -0.010740257681074072, -0.7064496148319965, -0.1966235649600253, 0.2680722048520882, 1.221795043277585, -0.2590669887740211, 1.1272626604331988, -0.1442064027395646, 0.5397784132460965, 0.15556568993554082, 0.34095011115005114, 0.09595282778584968, -0.7622693936217693, -1.2258156828429332, 0.3462944248694862, -0.10979793791473624, 0.30159957021384265, 1.5281842876388874, -0.12770264766297632, 0.5445897184201379, -0.7311267049489666, -0.11932272298322102, -0.5245001669338817, -0.6263524086905707, 1.5372952440408827, -0.25254437203939184, -1.266128256356871, -0.21168150466421334, 0.6062599014279451, 0.17808584079451611, -0.5164207966978615, 0.9820241719827895, -0.36651761442846825, 0.13903841024681654, 0.8872645104303366, 0.39012942928681227, -0.34658020219723673, 0.6752971958509186, 0.5236573999126247, 0.055027904251618756, 0.1542862161740654, -0.004909896521831032, 0.19602719593951623, 0.7711701065317642, 1.0044637425724345, 0.060940088639486266, -1.2889993394128272, -0.14189757508192274, 1.2989153006711414, -1.1054177101759592, -0.5484479104730008, -0.36824572267867445, -0.5946730457877972, -0.1780648942923413, 0.015027530169887464, 0.43849670713483463, -0.46434637041176324, 0.12657980085037376, -0.34077118464226025, 0.4875658536584262, -0.8287033027548203, 0.036334629490835414, 0.6522764316617236, -0.10536543499218969, -0.454944161538206, -0.26939076635535336, 0.10163823294275917, -0.04655404190508773, -1.1623790387294786, -0.8973007409561142, -0.14319951002544903, -0.18683362587754068, -0.30149884523533677, -1.0252474132476632, -1.158099080118712, -0.23705963615952597, 0.07984580528424308, -0.668271273717232, -0.9383118240867517, -0.33200592151435815, 0.7774180153810513, 0.47664550742161865, 0.708199212375409, -0.7985603110967743, 0.9655972594145402, 0.45251780533172914, -0.7531447821691963, -0.1347916010391112, 0.45340669206928147, 0.26068390327070756, -0.8864262643262707, -0.6795747295694904, -0.23186241322718976, -0.42363289395005377, 0.8829121632322651, 0.6918278948202428, 0.10357321295640211, 0.4546088073998754, -1.728624587787654, -0.09128890528692289, -0.4064931808541302, 0.03628622312293726, 0.4162085984589785, -0.2220550119949437, 1.4881318062124973, -0.48282137048272505, -0.019301827095953343, 0.5140209993848448, -1.1395560039765025, 0.45709895520451027, 1.2823922996480035, 0.06224107058944933, -0.7906168557165474, 1.5809690405152834, -0.32201759391446544, -0.6578108544459992, 0.6714143564709311, 1.2373130077217318, 0.8696676796731453, -1.473797372552563, 1.9898255687074566, -0.5335076448913884, -1.0784237742057141, -1.7736304243791334, 0.7831616276961038, 0.09952817468304377, -0.03796400427685769, -0.5014538282084449, -0.1741442466280267, 0.8304879533462373, -0.1780478799225204, 1.134517228274883, 0.5731293664135314, -1.566749575110188, -0.3891249222064263, 0.1326425186107662, 1.4682313310391175, -1.0456811391131062, 0.15812116106704904, 0.3544722371618728, 0.1937208043733898, -0.3844138716189233, -0.059491196135553, -0.3237378485186043, 0.23470002338960771, -0.24858167319001553, -0.3167151078445923, 0.8552702966296497, -0.5125452684310898, -0.9343934243408961, -0.45487390654546106, 1.4939063718956902, 1.1103716905860785, -1.61516287554495, -0.2929944381734523, 0.34797818616689535, 0.24535106969881748, 0.33962745520941223, -0.33244078933657817, 1.0768030951293677, -0.4156431113447517, 0.3982964513610935, -1.468967962654592, -0.1277518051242624, 0.17573602572454572, -0.6320824361016095, -0.7351538795203199, 0.46388399224731686, -0.9733780460074102, -0.2940173585117372, -0.013597938671370742, 0.056957185030734256, 0.25253024025915916, 0.31004583692709187, -0.018573656885877553, 0.24450805722914273, 0.20055381970126357, 0.6963854721291577, 0.3621487413130574, 0.1415161554802569, -0.38253720841722794, -0.1808286364525918, 0.58811612918467, 0.30177377831771746, -1.5182867309023933, 0.004747622782099315, -0.5746888912598921, -0.6018485713934714, -0.9341272791462257, 1.7264682698087044, -0.3074123411716632, -0.2948827911411939, 1.38541666536133, 0.5546083082237542, 0.033547821645533146, 0.06024771372580475, -0.2978129382661545, -0.43132704354876106, -0.5272962720830571, -1.024389156474991, -0.6132117481766358, 1.3433169594088237, -0.695882251388695, 0.5668941521462415, -0.17645383525976788, 0.5816072198864787, 0.7461951450078979, -0.6603152535702843, 0.40104015171760815, 0.2501315491899393, -1.684601686925616, -0.7493381742008149, -0.5650594740335367, 0.7187979487030107, -1.0135838346798842, 1.1558863482316557, -0.15154912212222366, -1.327788675038174, -0.3309932066165828, 0.010960577704213673, 0.17741537016485703, 1.5578907207731172, 0.4830951395582273, -1.0292306962841022, -1.4664799235670118, 0.33011341769970937, -0.8826581009281904, -0.09358801698478783, -0.10089950693366913, 0.5242695960858281, -0.3487658148624582, -0.6252538509313129, -1.505470890805002, 0.7639807560410573, -0.5685472912541646, -0.18364231723640842, 0.38275461582860965, 0.48248775214239387, 0.3641965020789015, 0.7408434025197026, -0.12076940211906481, 0.013720545573451114, 0.5684557133521505, 0.7109570000222226, -0.39390105287476024, -0.5236589156114622, 1.0484047788369204, 0.4074315265731945, 0.3340966647402182, 0.35442014315916665, 0.9332700934512851, 0.03179407760382671, 0.23884422702862462, 0.057489290881582264, -0.6552947107372263, 0.45079322208059563, -0.3176791582771344, 0.05105897093467925, 1.4078478133443708, 1.2117847462935332, 0.9136257923455504, 0.2874998265206048, -0.7526339446736219, -0.03511049981652511, 0.7211929123451685, 0.5532119870837483, -0.014092511696244236, -0.31607782804844636, 0.1449095640332972, -0.2190965385561069, 0.23354342243802556, -0.43167654415135254, 0.9136165256033496, 1.6990476361794293, -0.25875745708528936, -0.008720936800100646, -1.4812214155962575, -0.6918750898212102, 0.5887665647262138, -0.5324633961431532, -0.7806474529774494, -0.2304806343236951, -0.7138452252812871, -0.14280052069078297, -0.23020976142597405, -0.13830997994593086, -0.13428071676711564, -0.7908604437040881, 0.07574889015626565, 1.190270819365771, -0.5142553425128936, 0.8700824108728685, -0.8072357441208032, 0.21383958484298224, -0.3324393689641371, -0.21354252877128746, -0.2737555129586671, 0.6632825454575703, 1.2471641833760625, 0.8423090326092795, -1.4598521795577368, 0.01127754838941766, -0.8952205289261682, -0.6648226913552112, -0.02948639263592059, 0.8097929721530164, -0.4618723776631336, 0.6350634578774802, -0.0729548360337286, -0.03361684338457332, 0.042705492952455834, 0.7182053566502602, 1.4002128314977673, -0.32417457650010795, -0.6952705244218104, -0.19498588089433488, -0.8014385943318934, -0.4647140697107387, -1.184642287791133, 0.868754069192213, -0.0047328198063563715, 0.5814455090274728, -0.5207380481063068, 0.8622306555884249, 0.0712011131379178, 0.031105863458358494, 0.9286822767315239, -0.6643543975343703, -0.08444688227916752, 0.8260273479484914, -0.7837344577218096, 0.2863900473664064, 0.18667409069936708, 0.30541136518218776, -0.016490354232666506, -0.4068856991907025, 0.9347958920633433, 0.2720744299170448, -0.9942596435299461, 0.8230328262354053, 0.4542667725825009, 0.13887688082275346, 0.289536476979758, 0.4885300843580439, 0.22006214540105126, -1.2386892640285765, 0.3245513456242713, -0.697034760900512, 1.1556560145232129, 0.40666905472035436, 0.6994756570273086, 0.7142166442951782, 0.2762205729068031, 0.12663813078955902, 0.6880951093663068, -0.27550707988148426, -1.2961776658370758, -0.6387216849324224, -0.6224539700624138, -0.1541741802564627, 0.22358302628256216, -1.5885691369697743, 0.14929243895687477, 0.5748514955024523, 0.6652670879958464, 1.0606030454568098, -0.07341062865430419, 0.34679989392963384, -0.3174255388095175, -0.9446067653795988, -0.136681625279329, -1.3082697847589206, 0.5824512753331569, 0.13541439310613285, -1.308728834751443, -0.540759784314323, -0.6066164977163317, -1.3817777281125767, 0.7533668557512032, -0.8168458889859054, 0.9839167927652118, -0.17937261958561787, -0.09269603073647688, 0.09748946410692758 ]
48
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "AutoRegressive Process", "Stationarity" ]
AR(1) process is a stationary process with a constant mean and variance. You should check if the time series has a constant mean and variance over time. The other option is likely not stationary.
Pattern Recognition
AR/MA recognition
425
null
The following time series has an anomaly. What is the most likely type of anomaly?
[ "Spike: the pattern of time series is distorted by random large spikes", "Flip: the pattern is flipped at certain point in time", "Speed up/down: the period of cyclic components is different from other parts of the time series" ]
Spike: the pattern of time series is distorted by random large spikes
multiple_choice
null
null
64
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Spike Anomaly", "Flip Anomaly", "Speed Up/Down Anomaly" ]
Anomaly is an observation that deviates from the general pattern in the time series. You should check if the time series has any sudden changes or unexpected patterns. If so, check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
426
[ 5.105288749974341, -1.2585677157279347, -3.1342573363003354, -0.38005669263507885, -0.15968592731623676, 0.06068483800260532, -5.394050824605316, 7.458237870012171, -0.6991898552892084, 0.9421678992779732, 1.3261622047959758, -11.204296029908528, -0.4790577819487103, -0.25868701662986837, -0.038316251311026256, 0.18205451400781572, -6.943819810442749, 0.6227960446454999, 0.8431668099643418, 1.319491109975555, -0.7984296365811839, -0.5780588712623419, -0.35768810594349987, -0.1373173406246578, 5.090434485539682, 0.3034241900130261, -8.631742524151878, -8.829341517438818, 0.9645364859695524, 5.505443116566061, -0.6770599605759735, -0.45668919525713136, -5.713438446965374, -5.736929670691592, -10.322185416564347, 0.42479386601823677, 0.6451646313370787, 4.581617627529666, 1.085906161974763, 1.306276927293605, -0.555690284570763, -0.33531951925192094, 6.238556620790953, 0.10542201138576313, -8.220798376893272, 0.5461635420234472, -2.050828919260974, -2.273535224159398, 1.207275837979973, -1.963152098349808, -3.134289876653746, -1.1291381096478459, -2.0262997825980733, -6.161920504117264, 4.779939103342046, 0.6675332180286577, 0.8879039833474999, 1.1082747486663418, 1.3286455139851836, 1.549016279304026, -0.312950932560342, 5.012848511061932, 0.12779059807734205, 0.3481613633961841, -1.405045524212825, 0.7889028940338682, 3.967988292117908, 1.2296444246715523, -3.1802663087670973, 0.15820873654733103, -0.19158125655513147, 0.028789508763710447, 5.0620515346988055, -4.705826252501753, -3.8878595068187196, 0.8652081712633451, 1.1306433353579206, 1.3510141006767626, 1.5713848659956047, -5.027926394991031, 6.493018087364064, 0.1501591847689211, 0.3705299500877631, 0.590900715406605, 0.8112714807254472, 3.5496761564205612, 2.5586550693544647, 3.135768378726524, 1.6927545420008152, -0.16921266986355255, 2.259269759250614, 4.163902745856962, 3.226968430746609, 5.380056983804011, 0.9326411567306578, 9.49125948458614, 1.3733826873683417, 1.5937534526871837, 1.8141242180060257, -0.04784299385834201, -3.581209865624152, 0.39289853677934206, 2.890163500608781, 3.0134135462743714, 1.054010832735868, 1.2743815980547102, 5.94645588018588, 1.7151231286923942, 1.9354938940112363, 0.07352668214686842, 0.29389744746571045, -6.836249412323017, 8.87388717207512, 2.117976636130174, 2.626598662127001, -0.789290348308497, 1.6161220393787625, 2.0975463180241496, 8.638351102228917, -7.652347736463788, 1.3709081042054736, 0.635637888789763, 0.8560086541086052, 1.0763794194274472, 1.296750184746289, 2.4678267729122565, -8.115609895182747, 1.9578624807028153, -0.4355211747638479, 0.3162660341572894, 0.5366367994761314, 0.7570075647949736, 0.9773783301138156, -9.881744964864305, 1.4181198607514995, 7.5181985027692235, -7.401051801717072, 2.0792321567080254, -6.477930147688688, -0.5299517013313673, 0.658006475481342, 0.878377240800184, 1.0987480061190258, 1.319118771437868, 1.53948953675671, -4.483983083486116, 1.3564213930929512, 2.2006018327132364, 0.3386346208488684, 9.59650235967306, 0.7793761514865524, 0.9997469168053945, 1.2201176821242365, -2.2020903969731283, 1.6608592127619204, 0.6324020885602335, 7.275972506122392, 2.3219715087184465, 3.211868276517764, 0.680375062172921, 2.3687789293759334, -0.13127064916916265, 5.194167734203946, 1.561858123448289, 4.286002550489001, 2.002599654085973, 2.222970419404815, 2.443341184723657, 7.381811231674934, 3.476865774416106, 1.0221155034969733, 0.9715660417819372, 1.4628570341346574, -2.4399235029045743, 1.9035985647723415, 0.40318748532052595, 2.3443400954100255, 2.486923857871701, 0.7027436488644998, 0.9231144141833418, 1.1434851795021839, 6.784558018030736, 0.07683756285953791, 1.80459747545871, 1.0829964418328242, -1.5008827159438956, 15.924369378708409, -0.013328734107273199, 0.8241133248697105, 1.0444840901885524, 3.290673456656694, 4.092122433309515, 1.5739811257901937, 1.9259671514639205, 2.1463379167827625, 0.17127074190145786, 15.66329295334735, 0.6020649459784748, 3.8028862643522827, 10.864711037695638, 1.3862245315126047, 1.606595296831447, 0.36156355705749954, 1.578414104713398, 2.267707592787973, 2.488078358106815, 3.7722287444868705, 0.8464819115612892, 1.0668526768801312, 4.680413672376457, -1.1787315803421068, -0.6944468720557493, 1.9483357381554993, -2.1784353741928895, 2.3890772687931836, 2.6094480341120256, 4.97067503002014, 4.6775201414452905, -1.9662749762586733, 7.336974143669895, 2.2524636185223925, 1.849334648841868, 2.06970541416071, 2.290076179479552, 2.510446944798394, 14.612006538957761, 2.9511884754360778, 2.2027526166704616, -4.306129728079373, -1.3514447968751169, 5.118355572477329, 8.118550239107108, 2.1910750901659206, 2.4114458554847626, -2.448434938993175, 2.8521873861224463, 3.0725581514412887, 4.2824189450416075, 1.4309617048957628, 2.803218704931431, 7.811168546384625, 1.4892604630269841, 2.312444766171131, 2.532815531489973, -7.3959104447024835, 2.973557062127657, -5.308277218796105, 12.22906941633113, 0.9785960603339804, 1.7727021462198156, 1.9930729115386572, -0.9046080553353977, 2.4338144421763417, 2.6541852074951833, 5.7753525960091, -3.7305873224551016, 10.810376372794432, 5.6832708390738516, 1.6737010569061836, -1.8382713603123957, 3.8771541922588404, 2.3348133528627097, -6.429803105029789, 2.5010616443239906, 2.142712607178135, 8.999825544190212, -10.809499913144212, 1.5746999675925522, 1.7950707329113942, 3.753237878807256, 4.27332782062253, 1.9834151594167668, 7.071317224431263, -3.8848093001161326, 9.147532888127362, -0.516992163768148, -6.994342894887285, 0.2131933339814025, -9.489232918761461, 3.5204896575966345, 2.357181939554289, 2.5775527048731313, 2.797923470191973, -4.559491837100324, 3.2386650008296565, 3.459035766148499, 6.208419426968824, 1.817439319602973, 8.649387501738488, 2.258180850240657, 2.4785516155594993, 9.76902902141031, 2.919293146197183, 3.1396639115160254, 1.5805525377764988, 0.5811396847729204, 1.7184382302893417, -1.804058029746965, 2.159179760927026, 2.379550526245868, 1.5656248766952887, 5.2612508663874955, -0.16446351724036923, 3.311616273005263, 4.239961208957807, 6.165296399789369, 1.8398079062945523, 7.971446267866909, 2.280549436932236, 2.5009202022510784, 2.7212909675699204, 2.941661732888762, -1.9468236600754074, 6.889687123208754, 5.108368416314313, 3.8231447941641306, 1.9611775822997624, 2.181548347618605, 2.401919112937447, -2.3705686605909735, 2.6745137250832074, 13.969232295663993, 3.2834021742128146, 5.178406854885307, 1.2802967605125195, 4.311964765411174, 3.158062163591464, 2.302918023623815, 2.5232887889426574, 2.743659554261499, -2.9675250907951725, 3.1844010848991835, 3.404771850218025, 3.625142615536867, 3.845513380855709, 0.6096330865522523, 4.058084227795952, 2.4242876996290255, 2.6446584649478675, 2.86502923026671, 3.0853999955855516, 3.3057707609043936, 3.5261415262232356, 3.7465122915420777, 7.894420030407405, 5.56390628547755, 2.325286610315394, 2.545657375634236, 3.422008968681686, -2.6135253367652806, -3.7505630989901055, -5.521098268035128, 3.647511202228446, 3.867881967547288, -4.364523495576987, 2.2262855210017625, -4.593002052999113, -0.6045707286021957, 3.811181322661594, 3.1077685822771306, 9.260085443528961, 3.5485101129148147, -8.474805278628384, 0.27116012968386327, 4.209622408871341, 8.478040520511637, 0.0951990949984931, 2.788396727644657, 3.008767492963499, 3.229138258282341, 3.449509023601183, 3.669879788920025, 16.566847624947375, 4.110621319557709, 4.330992084876551, 5.6017762583877, 2.6893956383310256, 5.0442064226915555, 3.1301371689687096, 3.3505079342875517, 3.3874951032391922, -1.382280833715881, -0.7276257508421153, -1.1262167079247511, 9.737776562476931, 2.590394549017394, 2.810765314336236, 5.191456789418915, 11.496277169370398, 7.6804080980622995, 3.6922483756116042, 3.9126191409304463, 3.4020576929693096, 4.35336067156813, -2.7847607315150817, 5.711515505157426, 2.9321349903414466, 4.362574227492795, 4.246481094420669, 3.5932472862979727, 11.420900766099038, 3.6249170360132883, 1.102584268946738, 4.47473034757334, 5.182038587332585, 2.833133901027815, 3.053504666346657, 5.364149813454692, 3.494246196984341, 3.7146169623031833, 6.654925248377662, -2.901886647309219, 10.632970441822417, 2.9580308518482195, 2.7341328117141837, 2.9545035770330257, 3.1748743423518673, -0.4199607182903171, 7.986472704374706, 0.7850043308712165, 13.961796752142824, 4.276728168946077, 4.497098934264919, 4.717469699583762, 14.955471095494909, 3.075873253038236, 6.150783658278945, 3.51661478367592, 3.736985548994762, 3.9573563143136035, 10.844151874201696, 13.235586516053282, 4.61846861027013, 4.8388393755889725, 10.922101619663117, 3.1972429290434463, 5.129062783028877, 3.6266406287765816, 3.8583552249999724, 4.078725990318815, -3.5161625747069625, 4.519467520956498, 4.739838286275341, 10.97046062080641, 4.746008260321643, 0.4108018466156165, -5.2965963205668825, 3.7593541356863405, 3.979724901005183, 0.3279096065055005, 1.2273135518131304, 4.6408371969617095, 0.7291237205751422, 5.081578727599393, 3.2196115157350254, 3.439982281053868, 3.66035304637271, 3.880723811691551, 4.101094577010393, 4.321465342329235, -1.8416121753354355, -1.9525790421831157, 8.766025390483154, 13.717251243492798, 3.340981191740236, 3.561351957059078, 4.306691123285938, 4.002093487696762, -1.1706928870571582, 4.442835018334446, -0.317672323295735, 4.88357654897213, 13.724055640195111, 1.5719209748666607, 10.61559001803693, 3.6827216330642885, 0.9965840664920798, -3.536784294671298, 4.741215578658008, 8.810814694582614, 5.1938808939337875, 5.00494622497734, 1.1469154429205375, 4.590076555542737, 0.7122692421723849, 3.8040913090694985, 4.024462074388341, 7.415295201143804, -1.3629258583651822, 4.685574370344867, 1.0719252868589093, 5.126315900982551, 5.346686666301393, 3.484719454437026, 3.705090219755867, -4.790209747661832, 4.145831750393551, -1.7932310349778708, 9.139374241062795, 4.977155490604076, 6.395379032813487, 5.247685576987761, 3.3730440385619387, 6.131873580936885, 3.8264598957610785, 10.395980064958954, 7.361695445693836, 7.751658309948851, 1.947253177234436, 3.641639621957312, 5.14868448767413, 3.4472972090982346, -0.053513070189500134, 3.7274588064474465, 3.9478295717662886, 4.16820033708513, 3.1629125473704915, 5.684527171910622, 4.829312633041656, 3.4157718670316797, 5.27005416367934, 8.373982261769013, -8.038777471738163, 4.1969981120378, 4.069199247771499, 4.289570013090342, 4.509940778409183, 4.730311543728025, -4.861318449483278, 1.6514587547994188, -10.331822499344492, 7.20830176870358, 5.292060177868474, -0.34829056608213094, 7.130848632055734, -2.570759852521153, 4.631310454414393, 4.851681219733235, 5.072051985052077, 4.951329173197978, 2.44438619609833, 5.733164281008603, 1.8720922763753458, 0.24410691197908596, 4.31193859978192, 4.532309365100762, 4.838075873317522, 1.0059623063066203, -3.159033335864308, 10.380931304028014, 8.35350125992306, 18.313721271116204, -1.69063990976476, 3.0753929434836786, 4.43330827578713, 4.653679041105972, 4.874049806424814, -1.2805277064571357, 11.889895244674065, 3.8113743900695995, 5.7555328677001825, 5.9759036330190245, 4.113936421154657, 4.334307186473499, 2.423067216433124, 4.775048717111183, 4.995419482430025, 0.8801083565931265, 5.436161013067709, -0.43310325191390575, 0.4651610281631804, 6.097273309024235, -6.4354533427480405, 15.672999760278133, -1.818763363136667, 4.896418393116393, 11.476363351025718, 5.337159923754077, 5.557530689072919, 5.7779014543917615, 1.235902150857596, 6.218642985029446, 4.356675773165078, 5.704429522926465, 4.797417303802762, 5.017788069121604, 5.238158834440446, 5.458529599759288, 5.67890036507813, 5.899271130396972, 13.798528899392796, 4.257674683851446, 4.478045449170288, 9.05075116423868, 4.9187869798079715, 6.055871898851806, 5.3595285104456565, 5.5798992757644985, 5.8002700410833405, 6.020640806402183, 6.241011571721025, 4.379044359856657, 4.599415125175499, 4.819785890494341, 5.040156655813183, 5.260527421132024, 5.480898186450867, -1.5276861829314408, 9.624886183468137, 6.142010482407393, 3.904985545580597, 2.1266146533851353, 4.720784801180709, 1.0877286486379663, 0.9060192638575915, 5.381897097137235, 5.602267862456077, 12.960359670771965, -0.7758674379930257, 6.263380158412604, 6.483750923731446, 4.621783711867077, 4.84215447718592, 11.729182214083162, 5.282896007823604, 5.503266773142446, 13.647772640003108, 5.944008303780129, 6.164379069098972, 9.615275090534421, 1.9575273199413896, 6.69862691838401, 7.994760011676368, 5.1838949185099725, 5.404265683828815, -1.3505253422662848, 5.845007214466499, 6.06537797978534, 6.285748745104183, 6.506119510423025, 6.726490275741867, 4.864523063877499, 5.08489382919634, 5.305264594515182, -1.7721031080334617, 10.716220606795602, 7.621986893780912, 7.634252755647511, 6.407118421109392, 6.627489186428235, 13.455202901563283, 4.223523799199713, 10.043641334163237, 5.426634270520393, 5.647005035839235, 5.867375801158078, 6.08774656647692, 6.473128725764223, 6.014744695669529, 6.748858862433446, 9.311031604445718, 8.253306788009974, 5.327633181206762, 5.548003946525603, 5.768374711844445, 5.988745477163288, 6.20911624248213, 6.429487007800972, 6.649857773119813, 6.870228538438655, 14.869072090072127, 5.228632091893131, 7.238128084826197, 5.669373622530814, 2.5016256896169273, 6.110115153168498, 6.330485918487341, 6.444029838434526, 11.28118981260951, 1.9467331858780428, 5.129631002579498, 5.35000176789834, 6.989375682812204, -1.833378570485162, 9.929783137604453, 14.106000793731654, 6.45185559449255, 0.6283632467985383, 6.892597125130235, 7.1129678904490765, 5.251000678584709, -0.5511779721841652, 5.691742209222393, 5.912112974541236, 1.6838681205694819, 6.352854505178919, 9.779948889501163, 6.793596035816603, 7.013966801135446, 15.167057962235774, 5.372370354589919, 5.592741119908761, 5.813111885227603, 6.033482650546445, 7.23982021184827, 6.4742241811841295, 18.74859531093364, 6.9149657118218135, 7.823702975275701, 3.610695697326545, 15.626418567641302, 5.714110795913972, 5.934481561232814, 6.154852326551656, 2.9739774128522947, 11.102265864722437, 6.777624849494215, 7.036335387827024, 13.331482941332261, 3.9425879808655573, 5.615109706600341, 5.835480471919182, -9.042942827518399, 10.636381832494948, 4.145971558641911, 6.7169635331945505, 2.346770162613871, 7.157705063832235, 7.378075829151077, 5.516108617286709, 6.7699779994714255, 9.096620795664025, 16.312567940017093, 6.397591678562077, 4.714734476247164, 6.838333209199761, 13.305000900467814, 7.279074739837445, 7.499445505156287, 5.637478293291919, 5.857849058610761, 7.976179025551888, -1.381692718181645, 6.5189613545672875, 3.8662066205701904, 6.959702885204972, -3.14122934776005, 8.327519094494182, 13.244091337229952, 5.75884796929713, 3.9713710827964506, 8.386762517572047, 6.419960265253656, 6.640331030572498, 0.8103625677834492, 6.799930758400329, 8.421164194941356, 5.461576024699841, -7.888578811251, 5.8802176453023405, 6.1005884106211825, 6.3209591759400245, 8.472682322891135, 6.761700706577708, 9.134067464242825, 4.080746424157853, 9.34711249244168, 7.643183767853077, 2.5483372910638007, 6.00158732130755, 8.154638610782275, 6.442328851945235, 6.662699617264077, 1.859343256099411, 7.10344114790176, 7.323811913220602, 4.680305325488611, 7.688233514764648, 8.53825804134081, -0.034154058393760955, -3.2532258255732973, 6.563698527950446, 6.784069293269288, 7.00444005858813, 11.048590078797787, 7.971871198214892, 7.665552354544655, 7.885923119863498, 10.839601490443915, 6.244326673317972, 0.4198755002415613, 9.77201986270883, -0.3520376715613107, 7.12580973459334, 7.781650557489128, 9.460491681905316, 3.386025042939006, 6.2910457900011645, 3.8221340278889153, 3.4160408699824387, 6.586067114642024, 4.359024082935127, 12.565908452248106, 7.247179410598551, 5.858675041957713, 8.517100118356197, 9.974126055949782, 8.128662471873918, 6.266695260009551, 1.9740420324372154, -0.186300779164859, 6.927807555966076, 4.707274355945011, 18.310690234076716, 17.22374319415695, 2.1783447591790583, 8.029661382560286, 8.250032147879129, 6.388064936014761, 6.918805304475798, 6.828806466652446, 7.049177231971287, 7.269547997290129, 10.769699955121908, 3.850433261266609, 7.930660293246656, 8.151031058565497, 4.188556624592159, 6.509434612019971, 6.729805377338813, 6.950176142657656, 7.170546907976498, 7.390917673295339, 7.6112884386141815, 7.8316592039330235, 4.046144494038391, 8.27240073457071, 13.290332645945494, 1.331529453504313, 6.851175053344024, 12.724353689592604, 7.291916583981709, 14.64083015601051, 7.732658114619392, 7.953028879938234, 8.173399645257076, 10.367542897645242, 16.063592407214905, 13.220232794474608, 6.972544729349234, 11.359566763859021, 7.413286259986919, 0.9970090142673929, 7.8540277906246025, 8.074398555943445, 8.294769321262287, 8.515140086581129, 4.32454527621951, 6.873543640035603, 9.725598723130993, 7.314285170673287, 4.7271818604204086, 7.755026701310972, 7.975397466629814, 7.10956882075153, 8.416138997267497, 8.63650976258634, 7.883297974174021, 8.037520148992954, 7.2152840813596555, 7.4356548466784975, 7.687657282584934, 7.876396377316182, 8.096767142635024, 8.317137907953866, 16.334929690415468, 2.2851087170835456, 6.895912226727182, 7.116282992046025, 7.336653757364866, 17.317383425138146, 7.77739528800255, 7.997766053321392, 11.465065228645095, 8.438507583959076, 10.314851721905764, 8.87924911459676, 7.0172819027323925, 7.2376526680512345, -3.186161522841016, 6.777990697165785, 15.00823816187756, 8.119135729326603, -3.8549357387628227, 8.559877259964287, 8.780248025283129, 11.971952603120014, 7.138651578737604, 7.359022344056445, 7.579393109375286, 7.79976387469413, 8.020134640012971, 12.39736261311441, 8.460876170650655, 0.41507485480476447, 15.67293683275242, 9.121988466607181, 7.2600212547428145, 7.480392020061656, 8.43864398178676, 7.92113355069934, 3.8405205884722475, 8.361875081337024, 2.477644595717969, 8.802616611974708, 9.02298737729355, 6.471387772787009, 11.614135838374704, 7.601761696066866, 13.334256868382283, 8.04250322670455, 8.947963017177257, 14.083214062016873, 8.703615522661076, 8.923986287979918, 9.14435705329876, 0.6839831815166093, 12.044178214599443, 7.723131372072077, 7.943502137390918, 2.9034362600135895, 9.201558585633403, -0.6764480363251355, 8.824985198666287, 9.045355963985129, 9.265726729303971, 8.780703563327329, 7.624130282758445, 6.823597899752936, 8.06487181339613, 7.077470387134902, 10.80119028291131, 6.356709933768473, 8.946354874671497, 9.16672563999034, 9.387096405309181, 12.362854737112812, 4.877934955461416, 11.555424007427652, 6.082329426459664, 10.254870082847408, 8.626983020039024, 3.8896404909143714, 9.067724550676708, 9.28809531599555, 7.8956376224946165, 7.646498869450023, 7.866869634768866, 13.803859932270232, 8.30761116540655, 10.85964323976812, 8.748352696044233, 8.968723461363076, 9.189094226681918, 9.40946499200076, 6.094988976098442, 7.767868545455234, 5.4454095662657185, 8.208610076092919, 8.625303675250336, 10.541246559256093, 15.203661838428516, 9.090093137368287, 9.310463902687129, 9.530834668005971, 24.38167531457678, 7.889238221460446, 8.109608986779287, 16.35448464940063, 8.550350517416971, 13.592879574296708, 8.991092048054655, 9.211462813373497, 3.3725587730558617, 9.652204344011182, 17.314653607823267, 8.010607897465656, 8.230978662784498, 3.1953462370824823, 8.835914550963691, 7.495270872516919, 9.112461724059866, 11.64229004963601, 9.553203254697548, 9.773574020016392, 11.23856662179877, 8.131977573470866, 8.93506845839419, 8.572719104108549, 8.793089869427392, 6.620416110747792, -2.784780789500397, 8.25550089496575, -1.5824687205881247, 12.355734641691468, 1.2823038261640995, 3.3847559217060317, 8.473718014794919, 8.694088780113761, 8.914459545432603, 15.038548633202957, 6.2112276458411735, 9.575571841389129, 24.662309085714472, 12.070544998573839, 8.154346160162444, 4.133150781448571, 7.537180540462372, 8.815458456118971, 10.4983753237392, 9.256199986756654, -2.2941748026880866, 9.595914960159549, 15.775665729597211 ]
You are seeing two instances of random walk. Are they likely to have the same variance?
[ "No, time series 2 has higher variance", "No, time series 1 has higher variance", "Yes, they have the same variance" ]
No, time series 1 has higher variance
multiple_choice
[ -0.2002764106460295, -0.24832024202340724, 0.010598252823095289, -0.09986642737992409, -0.2110807542452112, -0.22972143989042787, -0.23989124473047496, -0.2136810344102707, 0.15114056812108184, -0.15546069555136138, -0.07114991584209335, -0.3697785000647705, -0.1676066506496961, -0.21154586187781038, -0.5873123818323549, -0.5181719352828908, -0.49308582835596787, -0.6710030550423082, -0.31311578879368, -0.3579837319089613, -0.3734872019389933, -0.24196865449101657, -0.559575457286724, -0.5501213022076843, -0.7716003966628369, -1.0490619384973836, -1.0292266588605412, -0.9518613185744691, -0.9213819367982943, -0.7406500956751636, -0.5658503168637752, -0.5736070774322178, -0.573995662775753, -0.6438306345998894, -0.7063555226113996, -0.5271761421733416, -0.635175203876006, -0.5366422120458451, -0.42452335911217326, -0.44286831482369804, -0.22578111822696578, -0.3150824839230169, -0.3557584065647843, -0.42001239083030906, -0.26850487870364315, -0.3612098485244586, -0.5709580155503751, -0.46508456332715953, -0.29041529346325323, -0.18409477925425452, -0.22771541998856337, 0.21499384616378486, 0.08502419698125918, 0.17504876565983246, 0.03711555306949452, 0.011758697802225791, 0.35462411060328797, 0.3868206381215983, 0.3638935327933015, 0.3980442417792402, 0.5407707577565564, 0.4142192642892744, 0.5774002325967917, 0.6326192952982925, 0.7518526674292005, 0.6815964502692394, 0.4186348359452972, 0.4543263927738178, 0.3640793800671147, 0.2328754131996816, 0.17117350112378954, 0.222662261003542, 0.252424484361288, 0.19925515170245303, 0.14876633400023473, 0.059090155895217544, -0.10169009328278775, -0.37535645228453995, -0.2829234904623666, -0.32806325608478326, -0.35863364313887164, -0.40922490394978567, -0.4566016943887484, -0.1898271594756471, 0.16188024144408836, 0.3248370550938443, 0.3187416969433328, 0.5175394689080614, 0.5145919660962054, 0.6842642676591162, 0.9070469390668805, 0.9819349887671078, 1.253689874938256, 1.287093758952835, 1.5107962731573032, 1.4513671679713713, 1.3496203684385517, 1.3784329497016146, 1.4542490942782746, 1.4735401474713725, 1.3765896620521378, 1.1794987917020683, 1.1717640576972477, 1.136375522709364, 1.2371685574956097, 1.0614764048721144, 1.1385792294511763, 1.159613303314793, 1.2003402868509272, 0.990656707950883, 1.2562830069755802, 1.1078464117552411, 1.066556336782793, 0.9110075384056051, 1.0585950416469259, 0.9437188433246748, 0.8429056463420782, 0.8889033498270563, 0.7427739769245388, 0.6154211166700444, 0.7558486783190145, 0.8343891012080997, 0.8905254749830587, 0.7205577836674275, 0.8056941445797561, 0.7359840050027809, 0.6438687146591902, 0.27719410249464405, 0.16434668872549157, 0.340843288103048, 0.6723969041011741, 0.6003232440227184, 0.2847269306052654, 0.5148536184898115, 0.616678936406033, 0.6413579391554233, 0.5573337566506769, 0.3766359792713043, 0.32052597960664664, 0.5404150150158308, 0.7373729081712603, 0.6584994679731543, 0.8842670812907996, 0.8485984146470019, 0.6252377525589835, 0.6027030958887561, 0.5221402296823656, 0.614974266450061, 0.4041077416032527, 0.2549401870879284, 0.5643841677436936, 0.621112102304283, 0.5618235713126465, 0.2240597469050311, 0.020126557252861527, -0.08920567577165321, -0.17937129649201705, -0.21766441960002275, -0.282795296430844, -0.3946293995486424, -0.42996764953953864, -0.3533557394554187, -0.13265175693039336, 0.053462445903137895, -0.31833147791311456, -0.2966115064501869, -0.24886536146348232, -0.026829981959883398, 0.06313620648199016, 0.06693208722893385, 0.005464984357811176, 0.0557587714892205, -0.14742845432602736, -0.24351811111017954, -0.007014733174052823, -0.09531575121101257, -0.2127334819612562, 0.031583818587458595, 0.1231502714594671, -0.055726752946021155, 0.13055768699869114, 0.27826294032304094, 0.22328539776880507, 0.47679162879754766, 0.3067768228202885, 0.3691878930718242, 0.35158945075458103, 0.7498769221048106, 0.7163413193051585, 0.8943638556679832, 0.9371948884831984, 0.8203057861335445, 0.6681838779112976, 0.5144196040011308, 0.5447240405033871, 0.7223177547050936, 0.9656360737024026, 1.330809733756352, 1.2496836121679908, 1.4328648597677958, 1.577510186365345, 1.5115285106970566, 1.3600471745075473, 1.608614675340772, 1.3980341609867866, 1.445832732083698, 1.3569083740114247, 1.160298926597953, 1.0938564565358302, 1.0457510659301175, 1.0417246964684626, 1.0555434040306293, 0.9361112785440852, 0.9273665218979004, 0.7238228925691863, 0.9320098752455619, 0.8266486382798585, 0.847238930345669, 0.90740430722431, 1.006187644162522, 0.8261829830319398, 0.6141001625322318, 0.7114599077325258, 0.7541866122925138, 0.5111278718111967, 0.6563728767323092, 0.6607928730973198, 0.645892262603321, 0.762568355558655, 0.5750837470311412, 1.0928604663949795, 0.8948909513592698, 0.570265286256281, 0.6495642435349562, 0.7693019964470804, 0.8340378012487721, 1.0626494647912963, 0.75266120566249, 1.0694403192693074, 0.9292664879261617, 0.7864842852191495, 0.8933506405604874, 1.0367962162178066, 1.0939277858686052, 1.1912255034421237, 1.034579537197003, 0.9192319873860894, 0.7916110695681062, 0.7094526297547508, 0.44151784530867955, 0.6319107763632648, 0.7633195570514166, 0.749237711632744, 0.568534395650038, 0.46953848297369305, 0.2488170735299192, 0.2619390638577778, 0.33292560081644484, 0.3639740652788199, 0.29878930535187087, 0.31926665232598206, 0.16788653039714418, 0.11607143378783512, 0.0972235382777328, 0.10028146263250506, -0.23369154722900506, -0.27391170364301615, -0.11735798748857756, -0.4007740479530435, -0.29238652767788437, -0.381532097327818, -0.5707285673381891, -0.9518751540548158, -1.0563672915002797, -0.9445640365557286, -1.0526367626457578, -1.2947821767878818, -1.248548492681033, -1.2116911116806848, -1.162657831356723, -1.1817230815939292, -1.0121615967514188, -1.015046649373223, -1.0672538667379503, -0.8900640402750194, -0.6998512003188464, -0.560131262898407, -0.6653888204915209, -0.7322597976758242, -0.6862921946797949, -0.6789786838413522, -0.7479283990771298, -0.8163064650252213, -0.8615964310848016, -1.0875840625739592, -0.7868496784332704, -0.45695994925691874, -0.6416498334564557, -0.5541142306830372, -0.6998352978855263, -0.7958795382024462, -0.8196260642019553, -0.8160046704184146, -0.33943898056616, -0.31368414738095507, -0.4523840384144987, -0.4982136204934047, -0.6864796204609055, -0.9077759841496363, -0.704699401687028, -0.7427753237200614, -0.877593695005046, -0.9260980677423947, -0.9598073291353453, -0.8889666913679722, -1.1339652885206681, -1.2058209644389024, -0.929962449696486, -1.0709292484754014, -1.1377666173548249, -0.9771825726626824, -1.1840131171525499, -1.2409012155665091, -1.1221378834451217, -1.31894252540514, -1.1330160259313395, -1.2031319675226249, -0.8913527023411709, -0.7240715920611451, -0.675375820886745, -0.7930579098297325, -0.8056315884526544, -0.6728630733698613, -0.6050379417416661, -0.6443459161069451, -0.5761792082521209, -0.6098134829411531, -0.4475681374672336, -0.40310532297444235, -0.7360501466452376, -0.7762857035447005, -0.42976459969736003, -0.25478275888070034, -0.018854535151278412, 0.08718246779381775, 0.13738381613706396, -0.09894340829762582, 0.1335589860085436, 0.05383280672901333, -0.15425604949555471, 0.11972218645561616, 0.26090381504230103, 0.3167118644919223, 0.09799467920926636, -0.08475236051732554, 0.06966820538479257, 0.4736285147772492, 0.3204604303117673, 0.10695128895496686, 0.2203826811941635, 0.4525807994154877, 0.3231754922836917, 0.5097311489713892, 0.5258225432102676, 0.3031986945405456, 0.32983626451041126, 0.4596931649284464, 0.4738854622163054, 0.5324269152930966, 0.6190861443934406, 0.5228947197834242, 0.6148051728160948, 0.6723988091826489, 0.656415145756699, 0.5529454540712523, 0.5848701527415374, 0.7609384081858772, 0.7338260990482628, 0.6855853415167233, 0.974012477141515, 1.0534222311486958, 0.9910660008566976, 0.8210101212612475, 0.8808795110349777, 0.7795553226027718, 0.9618377113019907, 1.2476715649003636, 1.2155593173821668, 1.3647013303482591, 1.643543255846347, 1.6232477713791444, 1.5647841740039383, 1.6690912227538528, 1.7089065973270536, 1.563304967516669, 1.64539516673842, 1.6800387963995957, 1.7282646966778945, 1.7425466324944139, 1.5313283577537895, 1.6172275762539376, 1.8206248344724227, 1.994743795085288, 1.920871161795215, 2.053280868054137, 2.1550713272707616, 2.2832805249815635, 2.4323896093268083, 2.633809920505694, 2.4981444255934755, 2.6736810011781893, 2.4803000660960914, 2.5424894735374615, 2.6753659785893342, 2.6550359425149765, 2.8670745529472486, 3.0356499649095294, 3.202105170751974, 3.2804304338700487, 3.134489751921777, 3.1331370900177364, 3.13334655711512, 3.3039887027488803, 3.341859285234277, 3.1211782609018153, 3.044553571635957, 3.274111325192644, 3.2448338872587543, 2.9745488744505204, 2.7662626267135586, 2.975708558236284, 2.962044460899598, 2.9582992100014383, 3.163746038162222, 3.1287248508306127, 3.2042995119214543, 3.2863691370362123, 3.5682345870770575, 3.549366503602376, 3.429959655384433, 3.3166382376342693, 3.089838782882249, 3.046960129848055, 3.1226599488341753, 3.267961299528127, 3.374213924796477, 3.7056574641290836, 3.5773593014126406, 3.7276199266403487, 3.91087739894033, 3.987177483779227, 3.9546164643202792, 4.171903499203481, 4.062583610509467, 3.8800211561926696, 3.825352861264567, 4.082207465160034, 4.241820197019753, 4.249847258800733, 4.14409128140691, 4.247387897838259, 4.262231342936705, 4.152850334519072, 4.0817140304310255, 3.9004365276822535, 3.899112765862794, 4.011869601841845, 3.523829865793044, 3.8510355644900076, 4.026739891816974, 3.9664576406386964, 4.114425672549884, 4.2219995650607745, 4.2545630646803785, 4.199639101799162, 4.0338301409112365, 4.094200028026379, 4.209690775326772, 3.9576147338884198, 4.207036253105264, 4.3858701409015985, 4.478419586732414, 4.3082832489068945, 4.3826206997704125, 4.271844946077827, 4.323288791037566, 4.319204884458191, 4.570400386448503, 4.443676066073032, 4.579496123626548, 4.31261949914024, 4.074376792345168, 4.142369350480725, 4.134042318007032, 4.027007055050917, 4.008660828349464, 4.203689125140931, 4.084596557436429, 4.004463350426437, 3.8547442885960983, 3.938017682881287, 3.6709980096893924, 3.5773983747834475, 3.7465912136644346, 3.848160397148355, 3.911144579048044, 3.9362775268274195, 3.7595652243314124, 3.6502633952904335, 3.9730473066238092, 4.06108737410876, 3.9085840483178647, 4.247152573564239, 4.1465945356411185, 3.9209655156385685, 3.892656862570747, 3.802762604587129, 3.6801245277067305, 4.049966646184449, 4.180337462827583, 4.32496438205306, 4.2089775008437265, 4.372844570541044, 4.264296697060699, 4.288901278367169, 4.40760885094229, 4.279997708901211, 4.414475968621206, 4.258497959591441, 3.882837608015428, 4.062812621970424, 4.016287164807238, 3.9027896768346735, 3.823135670318646, 3.6993143962606525, 3.498138571241493, 3.313850453526985, 3.188678986841265, 2.99294312432698, 3.3541155810955234, 3.3813613534352016, 3.7594476855381824, 3.6285359264818693, 3.7106919910461356, 3.8330212142498126, 4.003673623878462, 3.7516675046152477, 3.6761104660668895, 3.7960379274126117, 3.9313398699329802, 3.8967375293449504, 3.9206142637369625, 3.770961343326313, 3.863102716534675, 3.763178627003563, 3.84693852383483, 3.972809164197793, 3.912801874258489, 3.89606762093017, 3.658607363849411, 3.573992279939312, 3.473738177384317, 3.315067012249041, 3.217343386690219, 3.467926198451297, 3.4354504039072338, 3.394864805691651, 3.5263608177827885, 3.523983513815338, 3.524538022755756, 3.600406742358973, 3.7667726740701077, 3.9403201012927354, 4.117990628222405, 3.794377299192864, 3.9392137343994125, 4.044684454763063, 3.9509934412881664, 3.9095448764667244, 4.008605823098001, 4.056502369448176, 3.8526880505093137, 3.843572803280285, 4.082351451923635, 4.209891318267493, 4.334018434745737, 4.3961023487224535, 4.339846207739743, 4.266570720051075, 4.055828136268834, 4.209070175918902, 4.10430223273735, 4.318541405643758, 3.9469427260876717, 3.7468256760861687, 3.8134620771413177, 3.523480200648055, 3.427618229971938, 3.598489613000624, 3.5380292498939743, 3.623719959704965, 3.3498072026011734, 3.330068696189118, 3.5125257595720245, 3.807376909912463, 3.8128603762889193, 3.767438980804484, 3.973454441292647, 4.36769119780849, 3.8882887874325363, 4.019735126275308, 4.006947472569667, 4.138566593730896, 4.369803725949557, 4.486885121944159, 4.554974227263913, 4.555058272443259, 4.504016007532913, 4.598964426340594, 4.638031058632563, 4.659521672661729, 5.012114689382198, 4.972457176504772, 5.363295542025273, 5.3137348423287785, 5.31304743428145, 5.410503684023561, 5.380069956670753, 5.467564696433118, 5.428141320498601, 5.569011669274342, 5.45041419639844, 5.442806224887205, 5.57889036986586, 5.5844099293262675, 5.511004950247294, 5.553036715652946, 5.426033713747959, 5.470174425540101, 5.649716606227903, 6.068254252785751, 5.844293367409931, 5.894398124217261, 5.73785450442947, 5.634901281459286, 5.764876621341993, 5.629280089135951, 5.517119498675747, 5.573278867160307, 5.541041656488642, 5.489281679403248, 5.447269265644001, 5.478328111758386, 5.316150831757152, 5.299296073600854, 5.3138910788507525, 5.419421169727417, 5.5246780813952645, 5.674284577056796, 5.506376881654771, 5.711014029758926, 5.76321648017964, 5.622017585041685, 5.581449836421238, 5.467123758241157, 5.515846057475179, 5.523321719077559, 5.569886552337833, 5.631305879836053, 5.574184935539858, 5.6125460920030354, 5.706241077095551, 5.472856345730195, 5.314328661987641, 5.54263327060299, 5.592918222034561, 5.579998108318198, 5.676553568108276, 5.618969124167416, 5.642010631308693, 5.902218020782637, 5.780943818464246, 5.7321582329219956, 5.46797595824289, 5.329769496923245, 5.428851990977133, 5.440485023566546, 5.411287640969422, 5.187353407354939, 5.273697546240051, 5.359890118941188, 5.24386150917816, 5.406800202984502, 5.404729438334895, 5.317489446825177, 5.31414719172986, 5.3137945596528695, 5.1665957397023305, 5.476559621093039, 5.3852069754157155, 5.253860203160426, 5.439522377894595, 5.412917013937917, 5.367924552662594, 5.244724146688373, 5.449524853341864, 5.623835452740374, 5.638478431966718, 5.96027464614623, 5.830527634917926, 5.729717577256563, 5.615984886672344, 5.7087044947933006, 5.6869027824689455, 5.486842491023114, 5.317883716509694, 5.129850693896411, 5.245478573721023, 5.408687292765721, 5.512049410512803, 5.448537079711355, 5.345353390847599, 5.4623995832752295, 5.40971175648416, 5.259443689143727, 5.526926087788891, 5.706039399912165, 5.662077793584821, 5.837793820822603, 5.613077824806433, 5.635092457821307, 5.905713083298556, 5.751255399648444, 5.702865213851592, 5.766003270894993, 5.852185750098317, 5.747939587395732, 5.9111586273936245, 5.958291070943821, 5.626573417759837, 5.983245425152704, 6.020522735922628, 6.048635669936921, 5.880132811070761, 5.893282548561858, 6.3163155514660465, 6.216187469359477, 6.449644229280139, 6.6412178324961095, 6.7183905661590835, 6.7764539580022864, 6.6594401833626256, 6.459217412556153, 6.709940581577145, 6.636226921808981, 6.620873258838012, 6.5527881738003515, 6.603065176784766, 6.719767961630325, 6.883885482843808, 7.186034512676315, 7.404509711618897, 7.504824379423385, 7.276294505527478, 7.2965171450884325, 7.20921565173936, 7.101505894177334, 6.994928774571053, 7.021859439948808, 6.906202435359257, 6.9295693331046175, 6.818932342005628, 6.996772262209752, 6.8393222103229565, 6.983988838497676, 6.938211124943596, 7.093420870080267, 7.524008676345455, 7.548226257483436, 7.458485339798186, 7.589383144693246, 7.398361541348263, 7.4728814560730275, 7.2823722277627905, 7.46143075328104, 7.359976533763578, 7.237506573403406, 7.2251711343004255, 7.137209771175775, 6.932217984094592, 7.031030269030795, 7.127170641832369, 7.213604317527168, 7.548943141878605, 7.657221089041667, 7.672314587197688, 7.589211279614398, 7.6501980709506885, 7.595055877863414, 7.611728911782042, 7.419288918555658, 7.570442127060818, 7.5683730543374494, 7.583247555909079, 7.621066783054292, 7.8427723466954, 7.7696154124894, 7.981639925064753, 8.044876044460933, 7.963424166460055, 8.036050517549084, 8.216621429883714, 8.10322092484221, 8.033881897666976, 8.053870356435892, 8.331436400614844, 8.333095288088296, 8.71005184500076, 8.629330043958754, 8.577500292352617, 8.649469713243667, 8.756659047606048, 8.983944173057504, 8.985795120205621, 8.784372436032541, 8.86508338101212, 9.161094341889441, 9.339075539162158, 9.538172253653869, 9.807341853343688, 9.812332663361635, 9.703065505087926, 9.793590880069862, 9.758464926332536, 9.515780716622338, 9.637240550518436, 9.877406395290471, 10.15092658052699, 10.08666001087991, 10.131838953403268, 10.076984873663893, 9.808221056552158, 9.854743193330355, 9.983452350167923, 9.898241238685731, 9.90172119835781, 9.955096149902865, 10.077679339446956, 9.927444089593367, 9.920287437460185, 9.852288882680197, 9.91051047591894, 9.682185128435227, 9.767970634377646, 9.65704373910759, 9.673846792073622, 9.789617964344954, 9.314247201543669, 9.117641194666104, 9.22406929346746, 9.463936446915566, 9.331724933079297, 9.511648332932298, 9.804028429595702, 9.608417295901742, 9.707448192666497, 10.015100731864182, 9.693177204153367, 9.81067261917164, 9.60396537668303, 9.685838452628746, 9.791772384458312, 9.71771150711159, 9.53139893616946, 9.551619331181794, 9.489519687344698, 9.649425961458611, 9.830883356150506, 10.02420277101817, 9.794904444912092, 9.990106684690005, 10.049472508104774, 10.26987389061069, 10.262415378110932, 10.49961614121438, 10.47280046677316, 10.573197548510405, 10.619242699468666, 10.54344911229541, 10.598790847802496, 10.53004678185869, 10.24678057523079, 10.292155187312556, 10.182927808679954, 10.081933649527995, 10.20622532908217, 10.081055395289559, 10.040560706368046, 10.22887053868697, 10.22887382144354, 10.15689756420498, 10.124414465184303, 10.138290923018026, 10.225655050023342, 10.193750398201619, 10.10719608215507, 9.836228553948912, 9.803493307802825, 9.71890071201033, 9.618932597949945, 9.341969835937137, 9.387805946288951, 9.537735890425921, 9.506209946547473, 9.575223934850412, 9.823979545506862, 9.85824811952095, 10.147935563295647, 10.053289560738477, 10.115946152315733, 9.952126962993702, 10.0414606346708, 10.012758423972786, 10.282419223034992, 10.349768854009989, 10.363706691165667, 10.516814683202325, 10.357068422393494, 10.453626512264393, 10.073111250200238, 9.945956112833645, 9.819086441506194, 9.773685393654501, 9.623821329532305, 9.359213943071886, 9.268396525418238, 9.251254747551096, 9.162722201925984, 9.401195646768066, 9.418891923988758, 9.289840150410136, 9.149881038277197, 9.322205145196886, 9.329551953974383, 9.446542719334523, 9.755922191652965, 9.517644091742302, 9.435095227006093, 9.589549470867723, 9.720088835496806, 9.587189917312225, 9.702085378860207, 9.703253747326098, 9.717470697988961, 10.022686028543324, 9.922339285283512, 10.120957471642507, 9.953533562329875, 9.818113295256845, 9.823800886455793, 10.092664187941471, 10.23300475412262, 10.02062879315192, 10.04995523115411, 9.877285159037118, 9.902423966522756, 10.060056758550905, 9.795629346385278, 9.83592122511746, 9.997572138618608, 9.875809655166634, 9.936822315624205, 9.93599992612265, 9.958077111939447, 9.96642044082319, 9.810859575179437, 9.713564199016835, 9.46667340436316, 9.38821048989956, 9.28174828257691, 9.107663045191385, 9.065855758953859, 8.904955789525333, 8.874298723320633, 8.765920625732955, 8.855528059806298, 8.733407100313158, 8.613778379325582, 8.420284281422902, 8.23798872188413, 7.989158223908317, 8.298798898966664, 8.186139381562999, 8.089057572207818, 8.183452865852642, 8.147670864506626, 8.215544228499935, 8.013544543102297, 8.190244058914669, 8.19209814330054, 8.276378439916337, 8.343636095560667, 8.189824315558207, 8.091911234932141, 8.11625546347525, 8.247917095062764, 8.326122891249586, 8.321879439047773, 8.258119196429751, 8.491816426573665, 8.373871472422003, 8.329717967895128, 8.333663185787634, 8.155485610079207, 8.115540460980235, 8.058726630985275, 7.917297140003561, 7.905450427645412, 8.10550706948668, 8.226757883376656, 8.356835333465707, 8.070614086129712, 7.978689226543878, 7.9716078355827396 ]
[ 0.014025937602964217, 0.0439576047783871, 0.06535046578205578, 0.10092585726612824, 0.06359573676463867, 0.05930338183845786, 0.06231830985238096, 0.06172544359162937, 0.06606699604010526, 0.07099101089667524, 0.004898753354657143, 0.009402967644885053, 0.0402171264054835, 0.026864369484520617, 0.0494571559747347, 0.0284537346903887, 0.005672016302275255, 0.005724777994092154, 0.05272134099214694, 0.08831516996202052, 0.06659717020506724, 0.034344527337910866, 0.03436315318544989, -0.003813186888215178, -0.0011898295701558248, -0.02577111498161674, 0.041873570513492345, 0.009238903429599703, -0.011444298668038994, -0.04395711656796933, -0.019297395058517356, -0.02430771365863461, 0.004352796213729394, 0.009242088463008584, -0.014270901952474114, 0.0063128522719751775, 0.02560846277056556, 0.04084965123691588, 0.02277702731595172, 0.0006573692746181491, -0.03155452626175263, -0.016028726978689407, -0.017652567804260725, 0.014367493225337761, 0.013434719903811685, 0.031537590247635035, 0.04539797663404116, 0.04531693089572983, 0.023878171889970143, -0.01436566650033607, -0.005340431338887501, 0.019950000754805106, 0.0032762623671118186, 0.08497893321150274, 0.06634826859851209, 0.08916833937113895, 0.06699137588228507, 0.06054796158596394, 0.078801237468925, 0.045481911521326045, 0.05423190563854446, 0.0045740102297935, 0.03055760589301372, 0.040923556377175964, -0.05350447710603098, -0.10130359633713991, -0.026864395193819196, -0.07838997160978814, -0.09587881089366447, -0.07788824150919973, -0.10817611061847456, -0.121207596960883, -0.10142815559528766, -0.12475972057410323, -0.09434442546780764, -0.08928003139113985, -0.09014690657371568, -0.06398572024366633, -0.046422952294144004, -0.020555236526251137, -0.062485068066268405, -0.030514047626940412, -0.023486539887089285, -0.04156995447972797, -0.04524438689765315, -0.024868779492899323, -0.00857056513277216, -0.03949458629769331, -0.028021651819195078, -0.05118813287499789, -0.07609602134882867, -0.07238948688392632, -0.016467315909775418, 0.012852059362797253, -0.020623998136808184, 0.022578395857465686, 0.05713667417951718, -0.016235458486010934, 0.00925694267781671, -0.046849751485923664, -0.04788380345371344, -0.0687094912375317, -0.07953460354835296, -0.0840336049844467, -0.07731585460212134, -0.06139719817572253, -0.050010331690391506, -0.057217749299021556, -0.08181536340233082, -0.08538941238721699, -0.10631886558448812, -0.10657612424464426, -0.1291682893354319, -0.11789544078327346, -0.06039567518779606, -0.024939872131964656, -0.00549095989340187, -0.09699788199682052, -0.100194950495547, -0.1509158641880955, -0.1377767568070397, -0.14838415866347188, -0.14135401422888863, -0.1379891623757938, -0.16371281501958393, -0.18031322196827104, -0.19564284072916852, -0.21644879840967435, -0.15142435766480378, -0.1604665317795395, -0.21361943384116042, -0.21827891860943294, -0.22721544072867847, -0.22235266918680197, -0.20090551372817947, -0.18673090211622004, -0.20739388315348095, -0.21160597713003507, -0.24722652460789626, -0.2942644804028917, -0.3597924129356446, -0.30336868644237747, -0.3099744891148932, -0.3056099148892407, -0.3029218013080295, -0.31167485326852373, -0.25179748336106117, -0.25997684285579875, -0.27630608588349387, -0.2612051362272536, -0.22343278854477078, -0.23803864415837064, -0.24725958446028465, -0.24917159009803969, -0.2994798784010151, -0.32435775238555353, -0.339628095981438, -0.3373633181376786, -0.3505770890199301, -0.3999613312933252, -0.3984566951355261, -0.39900722105583236, -0.3733456647477635, -0.3988374543973203, -0.3528895157021007, -0.32972369371842475, -0.31234657234928626, -0.3422973843661421, -0.3656043661256745, -0.4115082772340863, -0.41570057076355793, -0.4260684365237985, -0.4327967239019834, -0.44040233541855134, -0.4590587029020064, -0.464319135733905, -0.4507854017327043, -0.4652421352728333, -0.4743933859150829, -0.4847356736447709, -0.519521193273385, -0.5275390283304038, -0.5014482337343994, -0.44353473693606615, -0.3731625807271571, -0.37427682287057834, -0.37036646006726864, -0.35502814085328244, -0.3879191482925418, -0.38484859277708583, -0.35286807729752595, -0.4031986510244307, -0.3508957050273914, -0.3559672172786059, -0.3426347883981495, -0.33648064661489774, -0.3149960889388154, -0.2625197366671387, -0.21179603539928735, -0.2320985844651367, -0.21671418589663977, -0.22956072177419468, -0.20701479800055395, -0.20593150408473412, -0.19025983711388506, -0.14856957744444613, -0.16293263089430599, -0.1553692032723846, -0.1601913715559289, -0.163643109151177, -0.22552156535458684, -0.3069198994530318, -0.3038818272935173, -0.30417961660308734, -0.2746493789181984, -0.2840451279503219, -0.20100195920024888, -0.18964866201089187, -0.21915067073760955, -0.2041025808961324, -0.24259323959884943, -0.2535605842518664, -0.31369117608899744, -0.3620613947891684, -0.3306743199264927, -0.2991894467956384, -0.29539007270542306, -0.32229096098989735, -0.3098611395743916, -0.30097658789180937, -0.30117986395748264, -0.40971255848890875, -0.4379993364535204, -0.4502577742870534, -0.4448352176951008, -0.41132268046402276, -0.3903878896741748, -0.4231157545630046, -0.3954490459705382, -0.3599877390506762, -0.36039307443440455, -0.34799636800544226, -0.35072248488930563, -0.3685488743543155, -0.3543643849511121, -0.3480912687555008, -0.3593783769934007, -0.3650951237772415, -0.3331148697158629, -0.34070315562845205, -0.33401905241802754, -0.2825182169760877, -0.34611282331717963, -0.3666200696906242, -0.33775817434015987, -0.3336321256691643, -0.3643907943280882, -0.3545271256392898, -0.2921729921107577, -0.27520498645000724, -0.2846027494484975, -0.2617165980003654, -0.20734786374666384, -0.25661723675600717, -0.23203094794046072, -0.2205863918256459, -0.1773870099990063, -0.1176278428191698, -0.13639098466136593, -0.15521004620045603, -0.15725897145665454, -0.17133900467676447, -0.20044238739531467, -0.2285324406220266, -0.2633444132572762, -0.3012015415432246, -0.3170611647708114, -0.30097753356785023, -0.3418777404190174, -0.36351802935297806, -0.41192480322134994, -0.38858313117037646, -0.41986522662058134, -0.4211255918286717, -0.4366082625915197, -0.42663639495595773, -0.43477211922377124, -0.4800843415199892, -0.4583563823356585, -0.4557516477547981, -0.43357754746538363, -0.48175393965910274, -0.4737465620500453, -0.502794463364017, -0.4705724129272703, -0.44915588128741046, -0.38474656763994186, -0.35714137685288655, -0.3653104989901602, -0.3636805552009877, -0.336267571672164, -0.35159992795276, -0.3584012632204279, -0.34552292428042075, -0.34934823729064085, -0.3511281479044489, -0.3335479235017733, -0.31698989050182136, -0.278068601558115, -0.2603883284457171, -0.2605928734780474, -0.19080722759435018, -0.18798030848000857, -0.19797762087723028, -0.16206165669661532, -0.14690352724812744, -0.1429446727299153, -0.14455890701245025, -0.12142346592373736, -0.10421590401356842, -0.1212856539603181, -0.11633189790410815, -0.07735480299986111, -0.06899292820319113, -0.038816162140206265, -0.03952907489830508, -0.052918979650774384, -0.035002424608650745, -0.047116912218240145, -0.047568717783010646, -0.0346137395759539, 0.037980164958012055, 0.05762416833944704, 0.098228602372052, 0.1154563243318858, 0.17146644077541612, 0.1777397520759895, 0.2203944973655132, 0.22063678920506677, 0.22485683969292136, 0.19742723854140323, 0.17667900637297937, 0.18897966724873005, 0.19536457222111714, 0.18702628148638883, 0.15420088864653342, 0.15421017439723428, 0.11847369078743686, 0.1226869477276348, 0.12671700493235458, 0.09022225143702287, 0.05592562630274811, 0.06524975635579466, 0.03878314254114741, 0.03554621291196579, 0.13581772751624033, 0.19487551198650155, 0.16644716374864102, 0.1363112098406831, 0.1387169210547695, 0.14417805866478825, 0.1554800446416869, 0.1932214385732161, 0.20734198697487718, 0.20821226752382266, 0.16634177971156697, 0.19584485454481473, 0.20675012843232066, 0.2512030093174959, 0.2924986551089004, 0.2712283481366957, 0.23906389388143903, 0.29239850565728837, 0.3401567174374202, 0.33672530261676126, 0.32663800635493384, 0.31323685960043146, 0.32612677430001463, 0.2530288283246569, 0.2647033853323125, 0.31929695899769756, 0.32649006723727186, 0.3659271793221268, 0.3270023768840242, 0.35537591422655196, 0.34419125113521665, 0.334744381304036, 0.3853833051004587, 0.3909825164414972, 0.43146702026119305, 0.45614040025683456, 0.46320847641455565, 0.45528521863512206, 0.445839113501011, 0.4188429685234204, 0.4632107418831887, 0.47572875847511104, 0.50186471229522, 0.5104127215377772, 0.47427386457669823, 0.45411551302960124, 0.5440366372868302, 0.5190986706776104, 0.49891693054972847, 0.47831365308151236, 0.4949566586115522, 0.47283630510525737, 0.5224850748809079, 0.5388630822474415, 0.5398767846862456, 0.5155618494412454, 0.47799652108276364, 0.49979461761200206, 0.5116580938278654, 0.5899425304552128, 0.621708280134378, 0.590591514794119, 0.5592937322359901, 0.5446328463413688, 0.5336875010056509, 0.5225328672464163, 0.5731987400214797, 0.5428829113116721, 0.5423011588832009, 0.5259870387476275, 0.5370497069364519, 0.528496054411441, 0.4688807351201566, 0.4043956320921145, 0.3861470471538241, 0.3723102110625361, 0.3753916079779588, 0.3334850772025395, 0.30043432620360594, 0.32264896835984935, 0.33914740569995183, 0.27449443540980184, 0.2460730542217721, 0.22985328569900693, 0.2600377525978084, 0.23433067667761026, 0.21330577306340068, 0.19823521792442306, 0.23641431966157, 0.23907581461715036, 0.22793725980704083, 0.21602103375395657, 0.21220801599908046, 0.1948242751188967, 0.2487541818070585, 0.2463633115541743, 0.2307117024764724, 0.16480098516459837, 0.14421446118363673, 0.15248194347995725, 0.16919879134107635, 0.16892073780106803, 0.15385946505348977, 0.17170648603188945, 0.1396829579787996, 0.09251336238691296, 0.0658923895326254, 0.06078653179355206, 0.10530576193727414, 0.08516419080637283, 0.07260877150954584, 0.08976142670222349, 0.10757907991229425, 0.15629905707022546, 0.17196737521717417, 0.1496847687725132, 0.10294447937301981, 0.0790627492649803, 0.06106912386794698, 0.06122419999987139, 0.07434120065593494, 0.09685188418959359, 0.11585714300345877, 0.14075244809317664, 0.16291881939428662, 0.15351753613814623, 0.1293738376467524, 0.143940233729243, 0.09692080297690253, 0.11562378558140014, 0.09299842496564216, 0.14726326068858742, 0.14616283689757759, 0.15849093135656406, 0.17668312163411187, 0.14475519976610254, 0.11395591772524769, 0.1064518007414955, 0.05213659158161293, 0.08068428160187326, 0.13087541792614582, 0.16219607758984123, 0.10709363712864961, 0.12332933370815498, 0.18052610081231382, 0.19349366121871933, 0.2225153192916926, 0.29451422014280443, 0.3226343443857644, 0.3322298484827661, 0.3389091767672445, 0.3367447260426156, 0.41497500648437247, 0.4104909625334657, 0.43965034953616966, 0.43667894400699014, 0.42158605953169126, 0.3688152606666913, 0.36027585876374213, 0.4122225822610164, 0.4543892228880153, 0.44770423119144004, 0.444865691170724, 0.3993427958405311, 0.3760109346242577, 0.34640611372343283, 0.3822137399659518, 0.4015863394147466, 0.4059266327265574, 0.4475033189492034, 0.41179478773273287, 0.40666651380047336, 0.3659140474445929, 0.364356836145758, 0.40101506294302836, 0.37828723981353196, 0.3254377029791176, 0.3185336289720463, 0.3005710468915018, 0.2655223800691447, 0.27585839544597274, 0.2526091708473785, 0.216313188108807, 0.2393414061087341, 0.24040055442122632, 0.29279131481796383, 0.33659750398878757, 0.3428230760788976, 0.36117674586226145, 0.33384340227487164, 0.3489575606041941, 0.35309133217641964, 0.3478298426826708, 0.3463754343898941, 0.23766855930930417, 0.26222233337485457, 0.30858132724182546, 0.25159182140860825, 0.23656663468582148, 0.2834318988224403, 0.23942151193171674, 0.2578143244611468, 0.27090794758902653, 0.19890174410102868, 0.1392641149754978, 0.1959912145188204, 0.2108290905296608, 0.24168328336628883, 0.2361348129545375, 0.25158860720994836, 0.23153965607946453, 0.2196120177100833, 0.18392689906941886, 0.17628306425484488, 0.20966068191074289, 0.22987244545011679, 0.26745948459645874, 0.3277247026538706, 0.3232903025784486, 0.3682273052928499, 0.36084971705605245, 0.34166221494981125, 0.3383403491945262, 0.3174944307992505, 0.36062094468918815, 0.4198280203393807, 0.4659181096625842, 0.4598446863375218, 0.475355223895001, 0.46031077236003953, 0.4690599200849715, 0.443689375969855, 0.40894964205008066, 0.3759551584298844, 0.3812796983105943, 0.4333597956646713, 0.4437080728350767, 0.45014604283550597, 0.46338424725301974, 0.42220276666699974, 0.3955831171835455, 0.405181533573722, 0.47981304223243937, 0.44707979807366716, 0.47708328533337707, 0.5007053352926237, 0.48686506260141377, 0.5011811190489484, 0.5215533405717802, 0.511707833459975, 0.5514218889332397, 0.5281837602178051, 0.5601861364385375, 0.5219088360809249, 0.500017359391789, 0.508767116506622, 0.5220479909303953, 0.5450326157195622, 0.5338764664641515, 0.49954601668624626, 0.48964885860636614, 0.47149880948848727, 0.487064672119701, 0.5250636385712429, 0.5401493970569462, 0.5503453670967823, 0.5708643888085402, 0.5456372915728165, 0.5805737456062003, 0.5668372399515116, 0.575906664623465, 0.6387594685766167, 0.6098467597450136, 0.5691858826689408, 0.5404576796262138, 0.5526838385638574, 0.5507339249645911, 0.5626265732641402, 0.5497703614943846, 0.5864230499744078, 0.5613077571123967, 0.5478253786179814, 0.5276678023921062, 0.5422536726494434, 0.5692044555645412, 0.6179069000300891, 0.6194314628877357, 0.6277773755090982, 0.6538155035038073, 0.576682212518031, 0.5858724679419745, 0.5812428425293412, 0.53918046844256, 0.5540131681041697, 0.5670576044559833, 0.5320183788057761, 0.5595226171295761, 0.5793651632186284, 0.5705892496503867, 0.5476604527647156, 0.5558960113706264, 0.5494161481565174, 0.5120394100389736, 0.5163382102329347, 0.5233272154251869, 0.5300383716535423, 0.5076675175440276, 0.46682627481255545, 0.5052174686147579, 0.48702980098221843, 0.513207328853523, 0.4743698073573792, 0.38546680918539633, 0.44002828279108275, 0.41347587393578844, 0.3990326058380965, 0.3496056990418003, 0.3277650580162009, 0.3011521235805409, 0.32250486937836303, 0.3473445983076854, 0.3079775348677265, 0.2758919475966035, 0.2745266840754338, 0.25807661850972496, 0.30361287968256756, 0.27564342232020733, 0.2281990764309074, 0.2640036705540378, 0.2802393481627945, 0.1884610367941118, 0.16701939202471372, 0.14955344893580508, 0.1607286929407194, 0.1644115661257742, 0.16678662958876253, 0.25927154153898385, 0.2713675820322785, 0.2385798186893673, 0.2748416234447174, 0.3406070579073489, 0.27706287313234784, 0.21613672359493513, 0.21292572115547917, 0.26923731809542406, 0.23079048842656566, 0.212508905903903, 0.17779184709480894, 0.15868878701806752, 0.12762413914820991, 0.07799574196595394, 0.09177114357573066, 0.1326553283782101, 0.12473233178756146, 0.07264660808470891, 0.04145364952013418, 0.03294515904765863, 0.07340872301726054, 0.042164754729195994, 0.021943761841671888, 0.052061552694091226, 0.057207793698229495, 0.058522085532843916, 0.04291192056434175, 0.07376113325251814, 0.013740912142781767, 0.02839860616808645, 0.06029990163344394, 0.011998140079972991, 0.057230808072232756, 0.04834272883127755, 0.03339088081549303, 0.030002945827180043, -0.0037502083781051354, -0.02479986782473626, -0.040305956518141034, -0.05813685861535941, -0.10132018272836261, -0.06916442123708566, -0.1056809729691541, -0.08870770140649331, -0.094551455815992, -0.06314291954698847, -0.02080808793960002, 0.012547040687139036, 0.013777005661000537, 0.000029714891022306414, -0.0044269640569445205, 0.0771135235649929, 0.04718704555638657, 0.05846135205109765, 0.02778258303326859, 0.020370396829783248, 0.028771363606001917, 0.05040967865946177, 0.031057171983894783, 0.07088124192244434, 0.07238569588166668, 0.05593541411199941, 0.07165487685656818, 0.059263698979167154, -0.0046520897688824, -0.02504795403407602, 0.01858876510185271, 0.059987460922678024, 0.037196258946432734, 0.009928773769310995, -0.12800516268166684, -0.13697152197557355, -0.14862112986486478, -0.1158076359828433, -0.10170283728588386, -0.12578084064144499, -0.14791463918874892, -0.13944007520039287, -0.13712649713222846, -0.16555488574052724, -0.09984520459112861, -0.12772064593737228, -0.07991855941545953, -0.10004541626260935, -0.11499392401665495, -0.06528426183734531, -0.06967313878244197, -0.04228591409807354, -0.0061834270796301966, -0.03382189383817377, 0.003954823316395684, 0.02904552952590913, 0.010727014759266063, 0.014488237832067057, -0.005116943581325998, -0.03409404267745601, -0.00213047586342939, -0.010152988748040331, 0.0033756403559816583, 0.051895209469337025, 0.06671935432631229, 0.06586839878009138, 0.1316802758759268, 0.15497402527965368, 0.19739608710119375, 0.13455554133906442, 0.14444426575168054, 0.1689328159745383, 0.20040879349823437, 0.18957879970387834, 0.18288357617260864, 0.2355617440648201, 0.2609910596616095, 0.28865203998091266, 0.2742950629462819, 0.240107828924041, 0.2170496220942465, 0.16549638355927038, 0.1164840895850284, 0.1999896092320413, 0.23141417912027815, 0.20508324136340375, 0.24916638630954874, 0.2805955511059103, 0.31191170627552367, 0.2770754409141458, 0.27254250029483695, 0.22895477483063176, 0.19387851865351174, 0.2168774363316347, 0.24991371415117036, 0.24119754053999945, 0.18726067970985283, 0.24498209328559584, 0.25989446395354354, 0.2361169481436573, 0.3206017468418092, 0.321231192158557, 0.3785243156762851, 0.388909408807068, 0.394856011836456, 0.37167139853357695, 0.3572191670819302, 0.33699496447072524, 0.3585237420708668, 0.3704819155815645, 0.3572861958070539, 0.39381290352685705, 0.3518756105620549, 0.3448784974236209, 0.3586351161995459, 0.368025419139558, 0.32673973825491315, 0.33349247863671927, 0.3349811834693976, 0.36688343399884205, 0.33156482914653224, 0.35014826331849264, 0.30833014325140107, 0.31806572207095973, 0.3275716485131663, 0.33858609083252816, 0.38958067202505064, 0.435540346350171, 0.38974017637015684, 0.36903837492678987, 0.3624376686560725, 0.3151361984939622, 0.2856210808243437, 0.30646049373399303, 0.3510129480929914, 0.39812595147961366, 0.3585535197484698, 0.3481672118082033, 0.3486757141106302, 0.34203856991869874, 0.3148995426863376, 0.30397416463860794, 0.29917123024191355, 0.3497280724431513, 0.30542045059772016, 0.3540946090465379, 0.3852916593695742, 0.4119668778056283, 0.37183237747833064, 0.36791500305807123, 0.3667724030366961, 0.3681119627801238, 0.3574254031429145, 0.37658829270507943, 0.4184937077173277, 0.44250260394434565, 0.445175507729657, 0.43750429672418356, 0.45004099097811473, 0.49211297509931523, 0.501945240101955, 0.4966644958830705, 0.5732034428670164, 0.550360686243744, 0.5302060705088797, 0.505792004092147, 0.4906290850850241, 0.4741701782933654, 0.5307285304891993, 0.49061737036001857, 0.4903285912269383, 0.5475533723288821, 0.5188099342119081, 0.5002059012070209, 0.45096229631576734, 0.45594086535230643, 0.47816072828467676, 0.49753811623295274, 0.5013892305424388, 0.4877078281552635, 0.5337594437518581, 0.554876658191691, 0.571036880133316, 0.5873955552894884, 0.5366547062863556, 0.6134608197193262, 0.5678628593754216, 0.6196835867336474, 0.605034581034351, 0.6445736736692093, 0.6697284108459494, 0.6572402100229622, 0.6606573747126265, 0.6952722877236132, 0.6667519087804278, 0.6615051580496119, 0.6589536147141775, 0.7273638569827969, 0.7691744883511996, 0.7533957595252332, 0.7423796203612839, 0.74646140766547, 0.8128601259750557, 0.8019948565290821, 0.8079353571023391, 0.7863029128021938, 0.7994302916508585, 0.7630913969588488, 0.7780291196443454, 0.8154845651635682, 0.7992851455341212, 0.7501587546797435, 0.7047232568753996, 0.6862016024937165, 0.6733576177364085, 0.7115895194390842, 0.6644539757567712, 0.6678822478020707, 0.6368952265932062, 0.6084161410609712, 0.5971225094512673, 0.5929692785475595, 0.6333559071312153, 0.6209521177076366, 0.575225736955709, 0.5579068942103589, 0.576074688352854, 0.6154834019119719, 0.6046721358860948, 0.6427768614167397, 0.6466665005291501, 0.6242379888923484, 0.637230490437747, 0.6850934675657567, 0.6765790809557327, 0.6840016413748796, 0.7772789190517079, 0.7876592097142446, 0.7338018293346008, 0.7524126643636893, 0.7522867323768435, 0.7202263045856756, 0.6663649872811731, 0.6444091899522949, 0.684389025807491, 0.6893057504733247, 0.6969417621092067, 0.7243269995151833, 0.7761515473468479, 0.7965361472406183, 0.7794554470417078, 0.7776807936739857, 0.76912962597594, 0.8045112963052168, 0.8022454466830716, 0.7899777882468707, 0.7683250513047107, 0.7254125782790956, 0.7283168857846936, 0.7384019447521912, 0.7659188895048732, 0.7940998474129196, 0.8306261029258722, 0.8116002153148679, 0.7788038027941416, 0.7389562126209981, 0.7839151721296629, 0.7794802586126262, 0.7522366124494957, 0.7101717133478019, 0.7140222148597241, 0.7410491643972952, 0.7619327085395079, 0.7578696755521133, 0.72463287237101, 0.7169528367853879, 0.7389186445153235, 0.7256980473511728, 0.7525823970616361, 0.7307278665793568, 0.779109087404017, 0.7903626533608176, 0.7917704690348256, 0.7444440223617075, 0.7997645664830274, 0.8342957677539778, 0.8489955005067035, 0.8506101462568122, 0.8114027485964799, 0.8010195111332153, 0.7694741911958708, 0.7341956722509859, 0.7159791797686793, 0.7416054090257765, 0.7472159697301454, 0.7754548939891286 ]
93
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise", "Variance" ]
Random walk is a time series model where the next value is a random walk from the previous value. Variance refers to the distance of the values from the previous steps. At a high level, you should check the distance of the values from the previous steps for both time series.
Similarity Analysis
Distributional
427
null
You are given two time series following similar pattern. Both of them have an anomaly. What is the likely type of anomaly in each time series?
[ "Time series 1 with cutoff anomaly and time series 2 with speed up/down anomaly", "Time series 1 with flip anomaly and time series 2 with speed up/down anomaly", "Time series 1 with cutoff anomaly and time series 2 with flip anomaly" ]
Time series 1 with cutoff anomaly and time series 2 with speed up/down anomaly
multiple_choice
[ 0, 0.3626794644739365, 0.6899189503327943, 0.9497931495377632, 1.1170575366045554, 1.1756519308062836, 1.1202932241280514, 0.9569993201917718, 0.7024923238285868, 0.3825401684691755, 0.02940114627669561, -0.32137522669294033, -0.6344737441670087, -0.8783158062495982, -1.0281911474934364, -1.0687084152098483, -0.9953215680879874, -0.8147807183865714, -0.5444627065597865, -0.21064779689201016, 0.15408660149067827, 0.5140967170808942, 0.8342072972127828, 1.0832000251093437, 1.2369095177837943, 1.280619867004515, 1.21052405241227, 1.0341014931712735, 0.7693762954204697, 0.4431297569649815, 0.08824439955071428, -0.25955707237127357, -0.5652544808434028, -0.7980032123054551, -0.9341931544210959, -0.9597901694752462, -0.8717278946182709, -0.6782118406748686, -0.3979056312845573, -0.05808008505647036, 0.30809129914825295, 0.6648222403742935, 0.9772626898103898, 1.2149549965638327, 1.3548544684395174, 1.3836147712195759, 1.2989115177288824, 1.1096727830760698, 0.8351936853019178, 0.5032228406681422, 0.1472104645615761, -0.19700896932780987, -0.49477052263818, -0.7160166002479362, -0.8382778365317679, -0.8489014380774277, -0.7463059925894617, -0.5401383014687133, -0.250316682591724, 0.09494437867378103, 0.461932329959428, 0.814779909327261, 1.1190221905928757, 1.3450145555338477, 1.4708726242024004, 1.484642583161724, 1.3854866748119252, 1.1837662798889952, 0.9000143536392766, 0.5628991217225606, 0.20638098117146236, -0.13365543640971184, -0.4229600327609713, -0.6323139101570165, -0.7404270819623513, -0.7360498534085997, -0.6190884817258094, -0.4006144728454347, -0.10176659269795157, 0.24834551663211066, 0.6155282123083997, 0.9638949191087532, 1.259425090094585, 1.4733381086273936, 1.5849475335014724, 1.5837126246241082, 1.4702836943533268, 1.256437614408478, 0.963909874293233, 0.6222390188938942, 0.2658372377225561, -0.06942237726475664, -0.3497634551685521, -0.5468560326189789, -0.640626106506192, -0.6212464226556131, -0.49011106899765067, -0.25969722041005516, 0.04767225366015432, 0.4020426035241683, 0.7687978860707456, 1.1120939136978445, 1.398413011296618, 1.5998880472213397, 1.6970660858498177, 1.6808375834555243, 1.5533398042521602, 1.327744862600786, 1.0269534117596402, 0.6813235293030735, 0.32566003127548676, -0.004237207737513571, -0.2751236169614053, -0.45960687596844696, -0.5388634790320309, -0.5045055088749676, -0.3594124872293045, -0.11744580552446238, 0.19792594367937338, 0.5559544052214083, 0.9216608519825924, 1.2593051120069954, 1.5359300099962425, 1.7246298121231163, 1.8072185343858378, 1.7760334917458007, 1.6346952256075618, 1.3977484457482232, 1.0892195953755244, 0.7402340891654179, 0.3859295286924305, 0.06197101933446747, -0.1989858266828285, -0.37053342834190217, -0.4351311411379074, -0.3858448062979637, -0.22703442850453093, 0.026078216582484437, 0.3489191635704371, 0.7099993184294621, 1.074037310045529, 1.4054584312975105, 1.6719226709935233, 1.8475319529893697, 1.9153985126313415, 1.8693196982613263, 1.714393103565366, 1.4665110265649144, 1.1507843910065747, 0.7990524337748333, 0.4467251288036845, 0.12927149213902456, -0.12129796835170115, -0.2796058144360176, -0.3294244210062103, -0.26528530990844756, -0.09302147248402348, 0.17081110264874466, 0.5005753280473986, 0.864095510991166, 1.2258482967292086, 1.5504856076750106, 1.8063401999297002, 1.9685661823995497, 2.021603045437621, 1.9607188351781195, 1.7924794331372602, 1.5340974014588928, 1.2117249704366229, 0.8578604569737687, 0.5081253258948799, 0.19773152093190705, -0.04201059106708438, -0.18679734687317706, -0.22174204143608933, -0.1428512793455099, 0.0425789902417798, 0.3166870309749463, 0.6528167120030486, 1.018161062583198, 1.377015820735813, 1.69432031345759, 1.9391345106195632, 2.0877074244913354, 2.125832554100722, 2.0502567791696094, 1.8690029801202264, 1.600574389125578, 1.2721195786838193, 0.9167400703506191, 0.570207574749227, 0.26741642230825413, 0.03892300596930054, -0.09208457208594245, -0.11208612203938029, -0.018570197193096938, 0.17971683963281293, 0.4636382145935467, 0.8055645841441599, 1.172114105564208, 1.5274629970928837, 1.836898271215139, 2.0702603077274597, 2.204933858074347, 2.2280908556370935, 2.1379626069160924, 1.9440151972518676, 1.6660107156643496, 1.332047399471557, 0.9757730624065373, 0.6330481574771682, 0.3383894069016633, 0.12154669315893951, 0.004552689358532369, -0.0004621755962912477, 0.10752727827160724, 0.3183393123723254, 0.6115950178172491, 0.9587393423566153, 1.3258729657323733, 1.6771141793440996, 1.9781573642834744, 2.199675164645025, 2.3202269541480005, 2.3283851562208753, 2.223868545112281, 2.0175701357462157, 1.7304768964155857, 1.391588419085442, 1.035040957933961, 0.6967220523621137, 0.41071147070424685, 0.20590143507877579, 0.1031313080633498, 0.11312090142288644, 0.23540736578995736, 0.45839109258449895, 0.7604860759656408, 1.1122606505677968, 1.4793563027504348, 1.8258950896105124, 2.118037743563468, 2.3273395964365484, 2.4335715077589866, 2.4267260387941025, 2.3080099150589204, 2.089724352361766, 1.7940451147215253, 1.4508232888502672, 1.0946248778484546, 0.7613028049480136, 0.48444129019425364, 0.2920252200495521, 0.203664816795732, 0.22865084415376846, 0.3650332192029705, 0.5998144069407341, 0.9102384180647796, 1.2660475768709336, 1.632483249996674, 1.9737329462988886, 2.2564819304214887, 2.453217127726644, 2.5449556641436244, 2.5231274448711085, 2.390425071933821, 2.1605368121616886, 1.856789097819095, 1.509833186463874, 1.1546053997150711, 0.8268624015901463, 0.5596351214518631, 0.3799529948213016, 0.30616338721970004, 0.34611204042522603, 0.49636499080209884, 0.7425491239911355, 1.060777592308498, 1.4200187326737714, 1.7851735536013291, 2.120556589237325, 2.3934349155141814, 2.577274355413499, 2.654370939110132, 2.617606650568466, 2.471155338846592, 2.2300687871333214, 1.918783990078482, 1.5686996764256853, 1.2150624192087975, 0.8934711456867774, 0.6363467034362691, 0.4697166044883023, 0.4106338124076283, 0.4654855576018839, 0.6293598998406178, 0.886532857550427, 1.2120277940656194, 1.5740924126325504, 1.9373477104296892, 2.2662966020231177, 2.5288442533677085, 2.6994810060999064, 2.7618122336257476, 2.7101842369016174, 2.5502449357905044, 2.2983837508414076, 1.9801062238050378, 1.6275045698003723, 1.276075012747391, 0.9611975368043679, 0.714627165590702, 0.5613447377368297, 0.5170794951606963, 0.5867491751355784, 0.76397230608793, 1.031701073960384, 1.3639119962132584, 1.728186735130591, 2.0889271047741933, 2.410885431372573, 2.6626601525489586, 2.819809988143186, 2.8672778425836634, 2.8008840543992823, 2.627740903613743, 2.3655472692959907, 2.040833387826794, 1.6863297835575024, 1.3377213015329301, 1.0301081529041232, 0.7945249399339063, 0.6548628775198122, 0.625500442158349, 0.7098774227698834, 0.9001537883001687, 1.1779872030445955, 1.5163520815719802, 1.8822197830598053, 2.2398341435209073, 2.554257503267504, 2.794835561273424, 2.9382374382347383, 2.9707694577346677, 2.889733182096508, 2.7036930231405423, 2.431626888222705, 2.1010440940936697, 1.7452571997291768, 1.4000783172355553, 1.1002675358723475, 0.8760856777895326, 0.750293257243204, 0.7358932639468148, 0.83484162433183, 1.0378532274724237, 1.3253227525646785, 1.6692689772150673, 2.0361097446633765, 2.3899923895578095, 2.6963493356985975, 2.9253262483028726, 3.0547427624289565, 3.072292164778463, 2.976761880976859, 2.778153729581533, 2.4966920169293356, 2.160817842517441, 1.804368524627758, 1.4632218695504804, 1.1717380805517272, 0.9593521712963688, 0.8476548225393536, 0.8482511807666941, 0.9616099470358073, 1.1770168947291553, 1.4736374259810319, 1.8225827904210254, 2.1897750541973044, 2.539326693195459, 2.837099647812064, 3.054090878993419, 3.1693086715510486, 3.171854434619674, 3.062003541943755, 2.8511780223802186, 2.5608138089682675, 2.220234884285104, 1.8637451483655514, 1.527226415856116, 1.2445799274638332, 1.0443642798344632, 0.946963198693241, 0.9625640342096118, 1.0901474562146427, 1.3175885437020032, 1.6228592433159017, 1.976212946035655, 2.3431345321688264, 2.687763321374165, 2.976449465271686, 3.181091086363528, 3.2819212109228353, 3.2694681088035322, 3.145494628410432, 2.922823370650765, 2.6240650397999445, 2.2793760838804484, 1.9234680049183708, 1.592164933197125, 1.3188508594076795, 1.1311588614937058, 1.0482306637774224, 1.0788183046838917, 1.2204161753838862, 1.4595095072358433, 1.772914664910854, 2.1300783250074535, 2.4961075249108933, 2.835230084435561, 3.1143422216552743, 3.306291537059508, 3.3925697843554747, 3.365148379156373, 3.227274613607311, 2.9931496143694223, 2.686519981667712, 2.338322780051333, 1.9836174329731708, 1.6581087928127354, 1.3946062021119814, 1.2197697097025133, 1.1514661275419469, 1.1969971346591997, 1.3523751515358962, 1.6027187982570912, 1.9237287178656177, 2.2840974038580866, 2.648614043252572, 2.981656460240566, 3.2507238557110076, 3.4296599921052686, 3.501247172367817, 3.458913761665842, 3.307385912714387, 3.062218861490012, 2.748254275899328, 2.397156645961419, 2.0442730377992624, 1.7251276374259774, 1.471898729111826, 1.3102274951257828, 1.2566751160955627, 1.3170803576502255, 1.4859805255516725, 1.747153214630638, 2.0752251249415625, 2.438188394848208, 2.800574900046789, 3.1269737154202106, 3.3855429043066696, 3.5511673623317934, 3.6079495445990797, 3.5507860646457567, 3.3858738099355445, 3.1300953811596433, 2.809344802854419, 2.4559595487668426, 2.105513554380531, 1.793289261504703, 1.550778571013621, 1.4025597129318372, 1.363859762404496, 1.4390445328895471, 1.621185607609188, 1.8927474478253525, 2.227326435707392, 2.5922693865977124, 2.95191184631944, 3.2711150235511064, 3.51875059091178, 3.6707877583910378, 3.71267646639451, 3.640790351240441, 3.462786380639989, 3.19684549321881, 2.869869549741702, 2.514813408859667, 2.1674167120438046, 1.862659494700508, 1.631293129303898, 1.4967906355191367, 1.4730188026251783, 1.5628629856300598, 1.7579409574586284, 2.0394341952009096, 2.37995415970203, 2.7462584849184983, 3.1025477058050823, 3.4140155800521814, 3.6503009094606775, 3.7884985352683307, 3.815430899552697, 3.728954896332854, 3.5381744087047755, 3.2625374541756273, 2.9299074765331845, 2.5738000590195083, 2.2300591008165926, 1.9333020886658137, 1.713486994850484, 1.5929412707839932, 1.5841475782772148, 1.6885058530077426, 1.896194469426638, 2.1871442757234174, 2.5330289013858027, 2.9000739536176927, 3.2524065076386117, 3.555612713605189, 3.7801507034520467, 3.904280331216593, 3.9162191972332634, 3.8153111379307054, 3.6120912992005114, 3.3272413398502927, 2.9895383802057034, 2.6330011037157917, 2.2935160397433494, 2.005278607443591, 1.79740187123604, 1.6910293260010156, 1.6972380442528459, 1.8159401353857283, 2.035891462003095, 2.335806748910493, 2.6864704966476265, 3.0536343550292298, 3.401413616974299, 3.6958459939075468, 3.908259740149375, 4.0181171010456325, 4.015051093033669, 3.899893623114119, 3.684592986570384, 3.3910289248915815, 3.0488427575436905, 2.692497778802853, 2.357861447387126, 2.0786483216184166, 1.8830765030557892, 1.7910691773784853, 1.812278782649171, 1.9451297530917049, 2.176974771856818, 2.48534903680144, 2.8401981506336584, 3.206858690032126, 3.5494958633077767, 3.8346573355718876, 4.034590779754227, 4.129996143709125, 4.111939684253952, 3.98273994863776, 3.755737838460259, 3.4539735593723444, 3.1079016667384227, 2.752370811848471, 2.4231677147390913, 2.153468106410709, 1.9705466093027482, 1.8930718453408646, 1.9292550223992804, 2.076035608450722, 2.319384852118233, 2.63569704874276, 2.994130576660398, 3.3596665373149204, 3.6965816662804705, 3.971991097994174, 4.15910963943386, 4.239908124141921, 4.206901409378119, 4.063890696289585, 3.8255865553654207, 3.516150042676622, 3.1667965880222217, 2.812700283336489, 2.489505580754447, 2.2297923438894185, 2.0598448219548966, 1.997044975581039, 2.0481486646686213, 2.2086156530070964, 2.4630598747601633, 2.7867753087746405, 3.1481861359733756, 3.511978191646306, 3.8426011587497673, 4.107794181018292, 4.281785252092805, 4.347847089310113, 4.299956019810969, 4.143389363117242, 3.894202066266371, 3.5776344948946215, 3.2256092835768215, 2.8735654889819466, 2.556944010728772, 2.307672829471165, 2.151000629870083, 2.1029928259148543, 2.1689383139728857, 2.3428249598196134, 2.6079358369006465, 2.9385070853989026, 3.302282978111336, 3.663714800915069, 3.9874863069138766, 4.242016116232796, 4.4025897197875, 4.45381047844627, 4.3911265459188416, 4.221282286642347, 3.9616494204330084, 3.6385042259471114, 3.2844216569573077, 2.9350448033955243, 2.625550077723765, 2.387158682866887, 2.2440403280848633, 2.2109162589605087, 2.2915993149639324, 2.4786158007058137, 2.753946670845188, 3.0908145235061015, 3.4563391816340783, 3.8147985017027537, 4.131171027284436, 4.374609153742808, 4.521498361692073, 4.557799127452245, 4.480439257432856, 4.2976185651908745, 4.027995675583417, 3.698837602664067, 3.343315612272657, 2.997215545331513, 2.695388847246498, 2.468296263628716, 2.338986972604644, 2.320812740655434, 2.416103794820478, 2.6159377283025433, 2.9010243576788426, 3.2436187782340142, 3.6102728949726375, 3.965152553156813, 4.273591300305904, 4.505528344267958, 4.638489756532891, 4.6598172674619835, 4.567923618282501, 4.372449973476923, 4.0933097825894205, 3.7587139140461785, 3.4023729133655207, 3.0601538447514955, 2.7665232653802985, 2.551129091442578, 2.435860340762747, 2.4326763446131787, 2.542420711170758, 2.754737662801647, 3.0490990442133277, 3.396840150528221, 3.7640024771593614, 4.114701468933361, 4.41468528042635, 4.634731616424981, 4.753545779418792, 4.7598725175668095, 0.005437431604812986, -0.00615429769598336, -0.011978064265539557, 0.021416584322166123, -0.0009462100189797199, -0.00928828100033933, -0.008852303456915945, -0.004121884804721504, -0.004826187964480047, 0.0016416481984073612, 0.002330952390597439, 0.001179946123434999, 0.014623781203460173, 0.015387149676145979, -0.02439105815056023, 0.006034412250381314, -0.002510439680857766, -0.0016386711649477017, -0.014763296931546016, 0.014869809580472005, -0.00024455177494065746, 0.0035555131712243218, 0.004170111096631751, 0.008324618571211561, -0.0029339914635866174, -0.00029838569359748687, 0.0009512578431713645, 0.0066465434274985205, -0.0014021849735700804, -0.00033193400066544885, -0.007490765234433554, -0.007783820070908942, 0.009488428577190162, 0.015808505860390263, -0.0036817094134354144, 0.003755646338406941, -0.011931582294890924, -0.004090519017239313, -0.0044674147097314605, 0.015242416328552062, 0.0032299979727829758, -0.013934169408727038, -0.021783342468237085, -0.01043896408234835, 0.0017269370652551177, 0.0032419876755273177, 0.007458595418254313, -0.018365832393175525, 0.005644642385551357, 0.0002550066808134837, 0.004731932494600233, 0.0065919059842898435, 0.023407463341030464, 0.01070985187017369, 0.0009641647903025843, 0.004191021055976431, -0.009530277892165023, 5.011669860716837, 5.086970427496991, 5.048387623046004, 4.900275643154907, 4.6578509635935985, 4.345683284469368, 3.9952588921302756, 3.6418580860570646, 3.3210563440623053, 3.065196213922876, 2.9001798227020865, 2.8429000985671085, 2.8995654572054814, 3.065084097843492, 3.3235689697572806, 3.6499133304958065, 4.012280643798505, 4.375261887856167, 4.703387155823874, 4.964643294454229, 5.13364872790271, 5.19417061155462, 5.140734683485842, 4.979168160594772, 4.726021839050052, 4.406928710786006, 4.054061876118172, 3.7029438575905735, 3.388923743313226, 3.1436715302227887, 2.9920373319393563, 2.949586931366479, 3.021058083394884, 3.199890659999496, 3.4688772344059373, 3.801869584281026, 4.166371875793351, 4.526763356049555, 4.847830951504013, 5.098261435796666, 5.253746840072972, 5.299395134543252, 5.231207108011438, 5.05647297956817, 4.793049409482595, 4.467588609916018, 4.112895178939903, 3.7646727871845833, 3.457983356271333, 3.223769881086264, 3.085787736233513, 3.0582487966186083, 3.144412010566133, 3.336260201831786, 3.6152951528543453, 3.9543721188699528, 4.320391839573746, 4.677583074856005, 4.991050127402185, 5.230233535543073, 5.371940730860794, 5.402646102720278, 5.319832366621695, 5.132240209547595, 4.859001454356429, 4.527741709459807, 4.171840668719937, 3.8271217644223374, 3.528299468647976, 3.305536572979464, 3.1814528696509368, 3.168881890651475, 3.2695981745284812, 3.4741412809986407, 3.7627540062745184, 4.107341753965045, 4.474258745878934, 4.827644757295244, 5.132981464387806, 5.360515712010714, 5.48821020788635, 5.503929015537223, 5.40664110520523, 5.206522603629952, 4.923947602321499, 4.587467608374334, 4.230980020695954, 3.890366440886755, 3.5999342058161465, 3.389014043938058, 3.2790512742046443, 3.28147902059816, 3.3965843608694, 3.613479856325343, 3.911183286126641, 4.260698506168084, 4.627891068604542, 4.9768734197027005, 5.273563957552062, 5.489066989054329, 5.602538387474203, 5.603252756184375, 5.491667092850018, 5.279375467836747, 4.987959211497379, 4.6468466401155055, 4.2903945767926315, 3.954481100090338, 3.672947425996141, 3.4742417906019685, 3.3785981679745234, 3.396029616763693, 3.5253352603420964, 3.7542193807184674, 4.060510815386563, 4.41436172649876, 4.78120768497307, 5.125195510650924, 5.412738921094897, 5.615849366518033, 5.714911723681953, 5.700629576317647, 5.574947163783168, 5.350856566024616, 5.051109246785348, 4.70595973451922, 4.35016520576732, 4.01953852975722, 3.747396617339629, 3.5612563003077558, 3.480105418942375, 3.5125197507979857, 3.6558125295734074, 3.896300898389611, 4.210662872642011, 4.568250239056103, 4.934128015010768, 5.272539037408978, 5.550450089226054, 5.740827885569757, 5.825320031590197, 5.79607507499386, 5.656521154040655, 5.421026020570154, 5.113472154417487, 4.764888278655191, 4.410372164170429, 4.085609896677026, 3.823336799088249, 3.650090988354722, 3.5835815245869274, 3.6309321596430966, 3.7879748569891967, 4.039663146219424, 4.3615643188440325, 4.722282480587662, 5.086572160091299, 5.418833689721764, 5.686643712903877, 5.863970688807469, 5.933756504813767, 5.889608171850954, 5.736431832975988, 5.489946208999647, 5.175123733958675, 4.8237139768966655, 4.471094958357555, 4.152764624345323, 3.9008204269777846, 3.740776140552965, 3.6890315972738605, 3.751246275214351, 3.9217780338422843, 4.184242659089375, 4.513138726496207, 4.876376640723037, 5.238461040307921, 5.564010960696569, 5.821268652248364, 5.98524907503229, 6.040217727204167, 5.981251074578635, 5.814724829725547, 5.557681656741444, 5.236141007982727, 4.882518710442575, 4.532412207791793, 4.221070273602247, 3.979897303048797, 3.8333388611520443, 3.7964573554659573, 3.873438259763522, 4.057175030222074, 4.329973878999523, 4.665308511058145, 5.030450802633312, 5.389716530438037, 5.708004264589304, 5.95427646446708, 6.104637548595483, 6.144703678723062, 6.071029240736285, 5.891448554756972, 5.624298926185391, 5.296602089644215, 4.941384396537369, 4.594401509870915, 4.290592426472243, 4.060614490020887, 3.9278030262398023, 3.9058571207684896, 3.9974810468638866, 4.194116075914514, 4.476789267783835, 4.817995064339927, 5.184423083873139, 5.54026159426631, 5.850749051287132, 6.085621487144573, 6.2221138632339645, 6.247217735476733, 6.158971333982694, 5.966654116635558, 5.689866502240099, 5.356586048376776, 5.000392847627815, 4.657139306511446, 4.36139457340769, 4.143016230376093, 4.024189242691462, 4.01722582081495, 4.123344387946364, 4.332548745973572, 4.624619423231469, 4.971118889654601, 5.338211777163778, 5.690020417035435, 5.9921829172916965, 6.215260916751134, 6.337659060318819, 6.347766663911406, 6.245109174793971, 6.0403952341517435, 5.754454674584421, 5.416172773946274, 5.0596256307003875, 4.720700752720369, 4.433538004127029, 4.22714387029145, 4.122514812739601, 4.130554997988114, 4.250994904306818, 4.47241805085707, 4.773393198411261, 5.124599738500264, 5.491735490874954, 5.83891853579674, 6.132245713011334, 6.343154882236246, 6.451257501451685, 6.446360609179566, 6.329477685753496, 6.1127281439605, 5.81813541681686, 5.475442839093892, 5.119163927040613, 4.785159587377877, 4.507081702237994, 4.313035788551263, 4.222793704225829, 4.245832823961492, 4.3803961444951, 4.613666530971872, 4.9230378239977135, 5.278356748533103, 5.644913288963955, 5.986882967436937, 6.270879646178148, 6.469266513580111, 6.562896895352137, 6.543013077696965, 6.412114831508472, 6.183711503892411, 5.880982262708314, 5.534477361004928 ]
[ 0, 0.5582175377966975, 1.0594875534668133, 1.452719714411114, 1.6979356410640847, 1.7703807793225672, 1.6630704659342566, 1.3875083179012397, 0.9725030578217274, 0.46120546752741515, -0.09332977354327984, -0.6336008896454223, -1.1035732045717332, -1.4544424427830593, -1.6496543664514491, -1.6686644666809565, -1.5090510156274959, -1.186764147028365, -0.734485346610306, -0.1982660827306894, 0.36720869783038823, 0.9042450480848286, 1.3580739819549668, 1.6824845961320556, 1.844576972552114, 1.8281460140456502, 1.6353481775314218, 1.2864796772391718, 0.8178889702929842, 0.278238230530487, -0.2765016730386855, -0.7888079146397137, -1.205522072622929, -1.4833176008998104, -1.5931560683460047, -1.5232738312380112, -1.2803919522847254, -0.8890249231733786, -0.38895929017751385, 0.16883848775648522, 0.7274640618128352, 1.2299279423549048, 1.6250170049118624, 1.8725618831241588, 1.9475684846229926, 1.8427886935051643, 1.5694658564749875, 1.1561783776117163, 0.6459003608201745, 0.09158161995341668, -0.44929833680997916, -0.9206422125373257, -1.2735046633644653, -1.4711264447551087, -1.4927151881543463, -1.3355839460701653, -1.015427551081246, -0.5647083645828044, -0.029317444891954647, 0.5361454584019912, 1.073987619916409, 1.5293571739487368, 1.8558847607035658, 2.0204527263990366, 2.0066013535584615, 1.8162217825146771, 1.4693615030813483, 1.0021624220403555, 0.4631435811601168, -0.09178914286857692, -0.6050930922231865, -1.0235072286135498, -1.303530159085961, -1.4158943588465767, -1.3485764065326145, -1.1080336219984994, -0.7185399154483014, -0.21968915742750594, 0.3376771459286932, 0.8966990240019336, 1.400346226334895, 1.797283920966373, 2.0471526052846643, 2.1247191778775627, 2.0224722236618065, 1.7513945809785134, 1.33983373027191, 0.8305861875908528, 0.27649578004932795, -0.2649814688053926, -0.7376868291134058, -1.0925349250490268, -1.2925622837039474, -1.3167291171196835, -1.1620833150494398, -0.8440640765925647, -0.39491395145817587, 0.13963738376923418, 0.7050765327804015, 1.2437132133778035, 1.7006138416614878, 2.0292515831692883, 2.1962917496311274, 2.185020351779412, 1.9970631733182587, 1.6522185551618511, 1.1864210884849866, 0.648045655649855, 0.09293195728336284, -0.4213587351463493, -0.8414638944521338, -1.1237082019089675, -1.2385956587609592, -1.1738433205886794, -0.9356446276654793, -0.8426176917631453, -0.7495907558608114, -0.6565638199584773, -0.5635368840561434, -0.4485073114453842, -0.32907721149293995, -0.20964711154049567, -0.0902170115880514, 0.038700721441320945, 0.17236227100915705, 0.3060238205769931, 0.43968537014482945, 0.573644917903474, 0.7079024638529267, 0.8421600098023793, 0.9764175557518322, 1.1063081828637822, 1.2274649723007267, 1.3486217617376706, 1.469778551174615, 1.5866936630930737, 1.6824003874191031, 1.778107111745133, 1.873813836071163, 1.9695205603971928, 2.030045511381257, 2.0905704623653216, 2.151095413349386, 2.2116203643334504, 2.237732855631352, 2.256962854992021, 2.27619285435269, 2.295422853713359, 2.2858789564903113, 2.2619481109754047, 2.2380172654604986, 2.2140864199455925, 2.1698618036843147, 2.105343416676665, 2.0408250296690156, 1.976306642661366, 1.9005083516827503, 1.8021502527622022, 1.7037921538416547, 1.6054340549211064, 1.5031407248960358, 1.3811712393483526, 1.2592017538006695, 1.1372322682529865, 1.0152627827053033, 0.8823387236821758, 0.7494146646590484, 0.6164906056359218, 0.4835665466127943, 0.3529999408297841, 0.2229048256947974, 0.09280971055981065, -0.037285404575176075, -0.15649952132796696, -0.2702731388896591, -0.3840467564513521, -0.4978203740130451, -0.5975263185730432, -0.6831645901313463, -0.7688028616896495, -0.8544411332479527, -0.9277276026488841, -0.9763104677350735, -1.0248933328212622, -1.0734761979074516, -1.1150316914402412, -1.1214503272060337, -1.127868962971826, -1.1342875987376182, -1.1407062345034107, -0.9885490508653217, -0.6726736066103977, -0.22510195706136626, 0.30859857120520845, 0.8740020894209439, 1.413421980101233, 1.87184410430666, 2.2025851380624757, 2.3720940644355153, 2.3634029762675164, 2.177872266209704, 1.8350507070688171, 1.3706648135373718, 0.8329442842867667, 0.27766146153609367, -0.23760498839702282, -0.6593921793209683, -0.9438517915159202, -1.0612599768090596, -0.9990745278020722, -0.7632248740479914, -0.3775022259699523, 0.11888740831435718, 0.6753556551615183, 1.2351349112236432, 1.7411170278968588, 2.1417270216679576, 2.39622768513214, 2.4789095066888303, 2.3817349556040437, 2.115165161365068, 1.70708396136875, 1.1999299812248705, 0.6463317201084354, 0.10369458312403634, -0.3717034025864424, -0.7304999182027999, -0.9353253863623152, -0.9646465220114173, -0.8149810825299524, -0.5012560247544294, -0.0552722315895674, 0.4775662852336487, 1.0429222968957113, 1.5831140720752543, 2.0430480816567895, 2.375885500620777, 2.5478596937765996, 2.541749195351973, 2.35864897814042, 2.017857832917628, 1.5548934414243902, 1.0178392974308421, 0.46239920383069444, -0.0538319973735959, -0.4772921930032734, -0.7639609907834115, -0.8838873224938407, -0.8242699833247175, -0.5907742665596536, -0.20694927454465084, 0.2881941630898396, 0.8441958470211093, 1.4043361610185785, 1.911469820801925, 2.313903403881259, 2.5707121423083157, 2.6559491334249934, 2.5613140411665802, 2.297006805576332, 1.8906785544558735, 1.3845876184098096, 0.8312531599726151, 0.28805345150921946, -0.18867561800970478, -0.5494348245949231, -0.7566527234000978, -0.7885499621294172, -0.6413793397691276, -0.3298112152183835, 0.11457537438458731, 0.6465406935340909, 1.2118373238901383, 1.752789641641415, 2.2142258940409576, 2.5491527467846535, 2.7235886613955422, 2.7200589781328084, 2.539393226747447, 2.2006398073535367, 1.73910681669257, 1.2027305255186502, 0.6471450179337341, 0.12996009211811965, -0.2951640458808644, -0.584035863316213, -0.7064777061011078, -0.6494296430655366, -0.4182927112673802, -0.03637340634931152, 0.45751344655657555, 1.0130368908871608, 1.5735264985042807, 2.0818010594392753, 2.4860498067765935, 2.745161278561212, 2.832951730474422, 2.740858196871205, 2.478819212378334, 2.0742526097202423, 1.5692355297228868, 1.0161766862451198, 0.47242600399081625, -0.005623959090659492, -0.3683381219323085, -0.5779439677380007, -0.6124165381233364, -0.4677437530237831, -0.1583390627725163, 0.28444100990982657, 0.8155219636442668, 1.3807473391993141, 1.9224488414912244, 2.3853776623423215, 2.722386953195765, 2.899280991809779, 2.8983322944815635, 2.7201049303552045, 2.383396505554386, 1.923304784211442, 1.3876177990669167, 0.8318987374409059, 0.3137711338678162, -0.11300784893188753, -0.40407647344592257, -0.5290311386993036, -0.4745534636914004, -0.24578011489337936, 0.1342255122446614, 0.6268454189499357, 1.1818789571212354, 1.7427060866464206, 2.252110882617284, 2.6581663307282772, 2.9195751455072867, 3.0099172953868583, 2.9203673664529584, 2.6606022774784446, 2.257805985568224, 1.7538735508328267, 1.2011021287588342, 0.6568120820679564, 0.17745144363827614, -0.18720989935338572, -0.3991991579523064, -0.43624623403964913, -0.2940742534514422, 0.013160547233935116, 0.45432482365317794, 0.9845102629565915, 1.549652511724408, 2.092091824662701, 2.556503507995422, 2.895588197195375, 3.0749367103125023, 3.076569115041901, 2.900784007977193, 2.566127803233171, 2.1074871891767213, 1.5725009486761374, 1.0166601957805521, 0.49760098126401076, 0.06917628627165207, -0.22408288622962558, -0.3515476321392612, -0.29964140262801164, -0.07323638481709005, 0.3048476143778447, 0.7961902402366755, 1.3507222160633106, 1.9118750886382734, 2.4223994295977453, 2.8302530767432232, 3.0939537955097878, 3.186845826496163, 3.0998414943876944, 2.842355897205257, 2.441338540844054, 1.9385015176176243, 1.3860293173059945, 0.8412115269533686, 0.3605504591419273, -0.006050246663938497, -0.22041833338269567, -0.26003903470573286, -0.1203707729277308, 0.1846877288704083, 0.6242269638967433, 1.1535057587147919, 1.7185530104692155, 2.261718744537246, 2.72760355298371, 3.068756556822648, 3.2505558429721235, 3.25476941123026, 3.081430379317773, 2.7488335766407763, 2.291653877113644, 1.7573798050340044, 1.201429226217092, 0.6814494872969354, 0.25138824756618017, -0.04405516744847415, -0.1740271990539639, -0.12469341806085166, 0.09933857092277742, 0.47549303269988163, 0.9655480701114654, 1.5195668380281093, 2.0810336678973127, 2.592666840093023, 3.0023101464588806, 3.2682972816776186, 3.3637373229203438, 3.279280525893242, 3.0240799685108994, 2.624850134832878, 2.1231192661683083, 1.5709580816418907, 1.0256241795767087, 0.5436729558850868, 0.17514074566469895, -0.04160153413143619, -0.08379492573017422, 0.05336675595225682, 0.3562425956224762, 0.794147578534624, 1.3225086180100465, 1.8874490045363963, 2.431329754836426, 2.8986779198369197, 3.241892110813096, 3.426138416631707, 3.4329331552364115, 3.26204396477379, 2.9315137025684628, 2.4758046938803053, 1.942254198919164, 1.3862056618546394, 0.865316504561832, 0.43362792219890256, 0.1360066163936815, 0.003530147141722617, 0.050290531063974964, 0.2719448436263989, 0.6461618993667211, 1.1349190679935797, 1.6884129933014194, 2.250181988061702, 2.7629132542629207, 3.1743376421410465, 3.4426056578642603, 3.5405917845615784, 3.4586844069305034, 3.205774388973109, 2.8083406272635747, 2.307726632792265, 1.7558882514883984, 1.2100498805879716, 0.7268188018354347, 0.35636298649766296, 0.13725119893752313, 0.09248610649691691, 0.2271383998724592, 0.5278252603895752, 0.9640868150696179, 1.4915190077777418, 2.0563406631240655, 2.6009250096186998, 3.0697267316285073, 3.4149949385967746, 3.60168445890842, 3.6110603200241185, 3.4426246854362943, 3.1141680583506215, 2.6599394856707397, 2.1271239612048984, 1.5709893356404616, 1.0492018852619007, 0.6158951968302258, 0.3161023980716813, 0.18112439225135502, 0.22531048503884854, 0.44458252393080744, 0.8168543460378763, 1.3043033930233365, 1.8572608521366623, 2.4193202129867584, 2.9331388127120013, 3.3463356666817305, 3.6168789786666196, 3.7174092121062143, 3.638053084204731, 3.3874390567974486, 2.991809878311985, 2.4923234540165184, 1.9408196565378062, 1.3944884703609153, 0.9099878644661805, 0.537616384038385, 0.3161398241993134, 0.2688040748036227, 0.40094422479445946, 0.699435835482501, 1.1340448206103324, 1.6605370947937408, 2.2252281555221365, 2.7705046632759736, 3.2407501119731217, 3.588065120296738, 3.7771939981929634, 3.789150879331643, 3.6231724630922346, 3.2967965218672255, 2.8440580990184756, 2.3119889228623123, 1.7557800803687376, 1.2331054812115823, 0.7981899575361897, 0.4962321096404996, 0.3587555212971738, 0.40036648339379166, 0.6172517018080026, 0.987570503873523, 1.4737012040589814, 2.026110584751114, 2.5884485067416008, 3.1033436564861363, 3.5183043235970057, 3.791117299423804, 3.8941896070247575, 3.817386505166532, 3.569073870819488, 3.175257748603511, 2.6769095665917106, 2.1257521264560006, 1.5789397889964154, 1.0931800107590444, 0.7189008458306272, 0.4950642992691323, 0.4451589912359417, 0.5747842959561509, 0.8710744326210627, 1.304021741868047, 1.8295630456709029, 2.394111651108689, 2.9400688705306686, 3.411748185023659, 3.7611027367273078, 3.952667063648893, 3.9672048076723154, 3.8036872202261023, 3.479398971546541, 3.0281603807993758, 2.496848914964331, 1.9405777286836825, 1.4170271438396507, 0.9805120898108641, 0.676395682436701, 0.5364235185204587, 0.5754585648956159, 0.7899524665631357, 1.1583105035317602, 1.6431126596733008, 2.1949623613223492, 2.757567033605751, 3.2735279270700537, 3.690243717024698, 3.9653206762160886, 4.070932971571833, 3.9966846180129965, 3.750678730506934, 3.3586840992164113, 2.861484807494896, 2.310685490886495, 1.7634036763256866, 1.2763951072068376, 0.9002162787604142, 0.6740245810030834, 0.6215508670575358, 0.748658677870244, 1.0427411629318308, 1.4740177251532445, 1.9985970268557718, 2.5629913193464047, 3.1096177864322923, 3.5827210754690846, 3.9341078693922817, 4.128103685212119, 4.145222080335133, 3.9841688800214943, 3.6619752863676664, 3.2122461782352634, 2.6817037686890557, 2.125382113083506, 1.600966724192208, 1.1628614785686564, 0.8565930470798877, 0.7141283673818415, 0.7505867675471074, 0.962684906832463, 1.3290744751659769, 1.8125379181498733, 2.363816351984815, 2.926675958065222, 3.4436917663840982, 3.862153951722253, 4.139489165863594, 4.247639308786149, 4.175947371688922, 3.932253535961655, 3.542088791684598, 3.046049013933515, 2.4956195794538116, 1.9478799719139568, 1.4596330198165446, 1.08156258905791, 0.8530206254991182, 0.7979797127495043, 0.9225674343229593, 1.21443613694559, 1.644032916373046, 2.1676392046245194, 2.731867329779154, 3.2791515663538564, 3.753668908531581, 4.107080600483264, 4.303503893590174, 4.323202673385184, 4.164617366362875, 3.8445253458629702, 3.3963153388969975, 2.866553315323435, 2.3101930659237415, 1.7849240729360982, 1.3452380081469475, 1.036824133474096, 0.8918700505616677, 0.9257511285862694, 1.1354491105815467, 1.4998625484218675, 1.981977137480293, 2.5326727268259277, 3.0957754448096826, 3.613835316780974, 4.034035133064645, 4.313622825925134, 4.424308622490424, 4.355174715887694, 4.113798187921971, 3.7254716880004506, 3.230602023348649, 2.6805542217671907, 2.132368515063676, 1.6428936141120438, 1.2629396822995655, 1.032052388097912, 0.9744455380101305, 1.0965106283727455, 1.386159464595096, 1.8140674610278653, 2.3366897450800552, 2.90073985202811, 3.4486703659891775, 3.9245918099636716, 4.280021012877998, 4.4788677202616, 4.501146563664241, 4.345032603837096, 4.027049030120855, 3.580367710707572, 3.0513973862666433, 2.49501041942089, 1.9688990403618967, 1.5276415623084423, 1.2170888708094019, 1.0696485499603399, 1.1009516844854166, 1.3082451651034697, 1.670674852434802, 2.1514304753605487, 2.7015316558826203, 3.264865658728442, 3.783958721043271, 4.205887367041804, 4.487721714697052, 4.600940917291306, 4.534366601052513, 4.295312587764643, 3.9088326506179785, 3.415143673418323, 2.865489247423998, 2.316869144818013, 1.8261767551367956, 1.4443474634100377, 1.2111198233838871, 1.1509483517547128, 1.2704883223487475, 1.5579112552128436, 1.9841215042080753, 2.505748814148217, 3.0696090557883022, 3.618174341349082, 4.095489906046037, 4.4529291901384696, 4.654195197475309, 4.6790537287912075, 4.52541451773504, 4.209546219788155, 3.7644031419456425, 3.2362358130338937, 2.6798340056557794, 2.1528914763871656, 1.7100720242435286, 1.3973871875633397, 1.247463846698735, 1.2761884709505424, 1.4810731570168079, 1.8415115158272042, 2.320898089187408, 2.8703933091378935, 3.4339467649072013, 3.954062122379986, 4.377710760256804, 4.661785891211869, 4.777536198579286, 4.713522978377385, 4.476796637507012, 4.0921715424556115, 3.599673802061225, 3.050424486013631, 2.501381699964121, 2.009482307457096, 1.6257858366641196, 1.390222885186138, 1.3274881621153567, 1.4445005778497382, 1.7296916175285602, 2.1541951905914845, 2.674816577573921, 3.238475110825225, 3.787663648758283, 4.2663633235844, 4.62580521650923, 4.829486358249844, 4.856924147162591, 4.705763034053136, 4.3920167960726975, 3.9484214812483396, 3.4210684272601064, 2.8646636565774637, 2.336901230559458, 1.892529276572953, 1.5777190115024584, 1.4253159211185802, 1.4514615229204957, 1.6539331722639996, 2.012372666705564, 2.490380136055683, 3.0392578565169166, 3.603018928624458, 4.124145664423655, 4.549505419923268, 4.8358154152371835, 4.954094472528558, 4.8926437998080985, 4.658250239808965, 4.275488226898988, 3.7841922474399974, 3.23535976712093, 2.6859060190366, 2.1928101351646276, 1.8072547056889026, 1.569361526579365, 1.5040649764407996, 1.6185474557425992, 1.9015006596670303, 2.32428866443981, 2.843893200918521, 3.4073381869706467, 3.9571384448522555, 4.437212189907171, 4.798649176915565, 5.00474123637272, 5.0347577979529845, 4.886078079494948, 4.574460640745885, 4.132422577614964, 3.6058950607027827, 3.0494992040063855, 2.5209281520598092, 2.0750132013501714, 1.7580842696837653, 1.6032047527828834, 1.626770874566193, 1.826825296109373, 2.1832584326580253, 2.659876772754354, 3.208125467883628, 3.772082315348201, 4.294209491227438, 4.721271453863219, 5.009810347274217, 5.130615746096929, 5.07172901804341, 4.839673297975137, 4.458782567804077, 3.9686988479645198, 3.420294920329884, 2.8704419403211956, 2.3761601018791776, 1.9887539734658795, 1.748535699884966, 1.6806788012962637, 1.7926290161611917, 2.073338489145745, 2.494402069595832, 3.0129788495552896, 3.576198454119956, 4.126598886573368, 4.6080366328625315, 4.971461156961798, 5.179959866399684, 5.212554661115496, 5.066359581472857, 4.756877636144897, 4.316406280409825, 3.790715545246553, 3.234340479638284, 2.7049720897055805, 2.257523680063916, 1.938482888456398, 1.78113032047634, 1.8021165592899775, 1.9997496131372954, 2.354168940751462, 2.829388155763659, 3.376996313037042, 3.941137090732119, 4.464253747261817, 4.893008970504893, 5.183770748556674, 5.307100027025627, 5.250778586535785, 5.021065715957014, 4.642054429499952, 4.153193442295615, 3.605229775227041, 3.0549893018578516, 2.5595320707521214, 2.1702835423325975, 1.927745356671933, 1.8573296424633152, 1.9667453185049775, 2.2452052128727473, 2.664535549480227, 3.182073688666591, 3.7450560822275225, 4.296045131168385, 4.778836780815689, 5.1442412429293505, 5.355142283654027, 5.390314717382157, 5.246607468109423, 4.939267665175722, 4.500372439365306, 3.975529712906047, 3.4191873150476093, 2.8890328919539665, 2.440060593640528, 2.118914793463122, 1.9590926022058186, 1.9774986097248877, 2.1727062072507235, 2.5251043175287116, 2.998914441251463, 3.545870561707897, 4.110183420612234, 4.634278577411622, 5.0647180788802855, 5.357696681049519, 5.483547323839165, 5.4297924594926785, 5.202427398354573, 4.825303676791538, 4.337675869348373, 3.790164161405365, 3.2395479414441786, 2.742925904468847, 2.351843313985327, 2.106990447757963, 2.0340175049397384, 2.1408964214377457, 2.4171009371442143, 2.8346892470888996, 3.35117788324024, 3.913911241303793, 4.4654773361844065, 4.949612762646458, 5.3169895217748895, 5.5302885242257895, 5.568037948264344, 5.426821668238955, 5.121630611315194, 4.684320904585479, 4.160337395829598, 3.604039541690893, 3.0731104069050725, 2.622623822446865, 2.299379909641816, 2.137091575200809, 2.1529170577339674, 2.345695161668914, 2.6960646890064126, 3.168455785070087, 3.71474838355452, 4.279221471003589, 4.8042841269733, 5.236398888622743, 5.531588207447407, 5.659957645845166, 5.608770591877269, 5.383758250418887, 5.008530174962674, 4.52214596829518, 3.9750979084679927, 3.4241176966390845, 2.926341465251533, 2.5334331894806263, 2.286270923210515, 2.2107423929394376, 2.3150823828865073, 2.5890257676421777, 3.004863304989334, 3.520291598066008, 4.082764101411543, 4.634895659465711, 5.120364707746344, 5.489706081128689, 5.705398624970975, 5.745724336053195, 5.607002111409016, 5.303966358613565, 4.868251526549147, 4.345138426302797, 3.7888969909108576, 3.257204482304954, 2.8052132462923787, 2.479878161227301, 2.3151272159138783, 2.3283719344095264, 2.5187165589261014, 2.8670501806715656, 3.338012342753191, 3.8836299481598773, 4.448251408096193, 4.974270541651205, 5.408051509965224, 5.705445391173486, 5.836331003134139, 5.7877129394094995, 5.565058178053639, 5.191733789779006, 4.706603578569835, 4.160030846030948, 3.608698404766352, 3.1097786148626376, 2.715053069237638, 2.4655867323477505, 2.3875043098923348, 2.4893032600401805, 2.7609798094325315, 3.1750578653179513, 3.6894149977317965, 4.251614832662276, 4.804300259150736, 5.291092746015577, 5.66239100929265, 5.880472623510865, 5.923373863819924, 5.787148727882058, 5.4862747916969585, 5.05216415611271, 4.529932636752389, 3.973759493939349, 3.441314965549328, 2.987828744431868, 2.6604094717526627, 2.493199500021242, 2.5038632700726113, 2.6917704808695757, 3.0380609174795357, 3.5075842695119817, 4.052515425027686, 4.61727339825214, 5.144237967554807, 5.57967605373716, 5.879268296378297, 6.012667406579267, 5.966619458567097, 5.746327087817299, 5.374914387490509, 4.891048539870521, 4.3449628037279915, 3.7932899029172313, 3.2932372146075375, 2.896702853040372, 2.644937823739678, 2.564303258444312, 2.6635591093482844, 2.932963166962649, 3.3452730697772224, 3.858548246620731, 4.420463605212274, 4.973691293668506, 5.461797007860815, 5.835044395238272, 6.055510558231143, 6.100986515416253, 5.967261448636613, 5.668555795770047, 5.236058644513534, 4.714719859749231, 4.158626881901203, 3.625441703686227, 3.1704701955682513, 2.840973764050998, 2.6713084024231915, 2.679391094272219, 2.864857008657859, 3.2090970238511476, 3.6771717202325123, 4.221404983578528, 4.786287608001786, 5.314186551196155, 5.751272631362487, 6.053056987937964, 6.188966867836235, 6.145490106586337, 5.9275648869252695, 5.558071834834527, 5.0754806921630635, 4.529893611213532, 3.977892027955075, 3.4767171253369407, 3.078382440039479, 2.8243241452093346, 2.741139240457145, 2.83784998651994, 3.104975944058995, 3.5155090596324987, 4.027691508907388, 4.58931058925959, 5.143068921734991, 5.6324776241921555, 6.007666328605086, 6.230512468281127, 6.278562275474686, 6.147340205369077, 5.850809256618016, 5.4199348433733645, 4.89949992801213, 4.343498985818117, 3.8095845434195033, 3.3531374778547085, 3.021570960257187, 2.849453897244664, 2.8549554357847944, 3.037976222759035, 3.3801586236699093, 3.8467748494721334, 4.390298793146857, 4.955294204039945, 5.4841164394857485, 5.922841354857692, 6.226811531453046, 6.365229399342896, 6.324324841463027, 6.108771483251526, 5.741205999038815, 5.259899875684505 ]
74
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Cutoff Anomaly", "Flip Anomaly", "Speed Up/Down Anomaly" ]
You already know both time series have an anomaly. You should treat them separately and check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
428
null
The following time series has an anomaly where the pattern is cutoff at certain point in time. What is the likely pattern of the time series without the anomaly?
[ "Sine wave with linear trend", "Sawtooth wave with exponential trend", "Square wave with log trend" ]
Square wave with log trend
multiple_choice
null
null
67
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Sawtooth Wave", "Square Wave", "Linear Trend", "Log Trend", "Cutoff Anomaly" ]
Cutoff anomaly brings sudden disappearance of the pattern. However, this only influences a small part of the time series. Can you check the place where the pattern disappears and try to recover the original pattern?
Anolmaly Detection
General Anomaly Detection
429
[ 0, 1.5928186944440248, 1.5986271046198148, 1.6044019719039477, 1.6101436814856431, 1.6158526119570114, 1.6215291354628483, 1.6271736178462053, 1.6327864187898722, 1.6383678919539113, 1.6439183851093766, -1.5245144586038135, -1.5190249050618057, -1.5135653222667218, -1.508135384738383, -1.5027347722700248, -1.4973631698149916, -1.4920202673764553, -1.4867057599000633, -1.4814193471694275, -1.4761607337043587, 1.7030230702103892, 1.7082269531330336, 1.7134038957917035, 1.7185541756874356, 1.723678066055583, 1.7287758359527985, 1.733847750341812, 1.7388940701740665, 1.7439150524702831, 1.7489109503990106, -1.4200706855189285, -1.4151242118471252, -1.410202085393632, -1.4053040676512738, -1.4004299236004514, -1.3955794216414745, -1.3907523335285297, -1.3859484343052317, -1.3811675022417174, -1.3764093187732367, 1.8022790304319576, 1.8069923600425417, 1.8116835783542053, 1.8163528918568776, 1.8210005041614157, 1.8256266160528827, 1.8302314255425955, 1.834815127918982, 1.8393779157972763, 1.843919979168088, 1.84844150544487, -1.3210100193618315, -1.3165290151104054, -1.3120680007167431, -1.3076267986222596, -1.3032052336236433, -1.2988031328313818, -1.2944203256291975, -1.2900566436343692, -1.285711920658915, -1.281385992671615, 1.896874001111301, 1.9011628227739055, 1.9054333289690752, 1.9096856754647105, 1.9139200160499787, 1.9181365025686898, 1.922335284951967, 1.926516511250238, 1.9306803276645574, 1.9348268785772826, -1.2349963922900402, -1.2308839463586403, -1.2267883433966187, -1.2227094460021044, -1.2186471184477468, -1.2146012266536177, -1.2105716381606557, -1.206558222104646, -1.2025608491907196, -1.1985793916683591, 1.9793389755652502, 1.9832889795006248, 1.9872234422724402, 1.9911424856939992, 1.9950462301520155, 1.9989347946288036, 2.0028082967240373, 2.0066668526760902, 2.0105105773829672, 2.0143395844228316, -1.1557987127980092, -1.1519988055367367, -1.1482132829275575, -1.1444420364740768, -1.140684958902792, -1.136941944144784, -1.133212887317748, -1.1294976847083613, -1.1257962337549743, -1.1221084330306217, -1.1184341822263466, 2.059179316737324, 2.0628267642378404, 2.0664609561993283, 2.0700819886194717, 2.0736899564568807, 2.0772849536460365, 2.0808670731119614, 2.0844364067846337, 2.0879930456131444, 2.0915370795796, -1.078884101159368, -1.0753650107705743, -1.071858260964012, -1.068363765491286, -1.0648814390050418, -1.0614111970464528, -1.057952956032934, -1.0545066332460595, -1.0510721468196924, -1.0476494157283152, 2.129714339096591, 2.133113799289214, 2.1365017422934054, 2.13987824588497, 2.143243387054531, 2.1465972420180623, 2.1499398862272487, 2.1532713943796664, 2.1565918404288045, 2.159901297593911, -1.0107528605024703, -1.0074651643363621, -1.0041882417058947, -1.0009220222334791, -0.9976664362288887, -0.9944214146803368, -0.9911868892457002, -0.9879627922438825, -0.9847490566463161, -0.9815456160686011, 2.1956002941098745, 2.1987833412654227, 2.2019562887709387, 2.2051192005151328, 2.208272139782402, 2.2114151692604285, 2.214548351047656, 2.2176717466606535, 2.2207854170413626, 2.223889422564229, 2.2269838230432306, -0.943884021133361, -0.9408086535075618, -0.9377427147778832, -0.9346861473041206, -0.9316388939730036, -0.9286008981917927, -0.9255721038819729, -0.9225524554730422, -0.9195418978963947, -0.9165403765792943, 2.260404861433213, 2.2633884719955373, 2.266363207100219, 2.2693291193949925, 2.272286261060533, 2.275234683815961, 2.278174438924271, 2.281105577197682, 2.2840281490029017, 2.2869422042663254, -0.8841049063930021, -0.8812077361697335, -0.8783189353001626, -0.8754384555687148, -0.8725662491752717, -0.869702268730412, -0.8668464672507192, -0.8639987981541574, -0.8611592152555119, -0.8583276727618955, 2.318448573603836, 2.3212641711188415, 2.3240718632975184, 2.3268716944071373, 2.3296637083441842, 2.3324479486384897, 2.3352244584573003, 2.337993280609294, 2.3407544575485426, 2.3435080313784136, 2.3462540438554274, -0.8249601624791006, -0.8222291488066992, -0.8195055732609614, -0.8167893954352878, -0.8140805752514428, -0.811379072956005, -0.8086848491168676, -0.805997864619785, -0.8033180806649651, -0.8006454587637083, 2.375972738137063, 2.3786311501694657, 2.381282513780802, 2.3839268662481343, 2.3865642445535844, 2.3891946853874346, 2.391818225151192, 2.3944348999606113, 2.3970447456486754, 2.3996477977685426, -0.7717086072757011, -0.7691190367375645, -0.7665361547582332, -0.7639599268751655, -0.7613903188914858, -0.758827296873261, -0.7562708271468115, -0.7537208762960574, -0.7511774111598966, -0.7486403988296175, 2.427842892225807, 2.4303670966736344, 2.432884945552756, 2.435396470787548, 2.4379017040624515, 2.440400676824373, 2.44289342028505, 2.4453799654233928, 2.4478603429877905, 2.4503345834983987, -0.7211499816227651, -0.7186879245609851, -0.7162319143395616, -0.7137819213290316, -0.7113379161171761, -0.7088998695069018, -0.7064677525141473, -0.7040415363658169, -0.7016211924977375, -0.6992066925526405, -0.6967980083781691, 2.479557586847244, 2.4819547231277133, 2.484346126884737, 2.4867318254704873, 2.4891118460418395, 2.4914862155622277, 2.493854960803478, 2.4962181083476174, 2.498575684588666, 2.500927715734405, -0.6706784710640281, -0.6683374522218015, -0.6660019009515965, -0.6636717917733107, -0.6613470993845418, -0.6590277986589396, -0.6567138646445759, -0.6544052725623347, -0.6521019978043192, -0.6498040159322784, 2.526441396196101, 2.528728864940123, 2.5310111131105186, 2.533288164482336, 2.5355600426685827, 2.5378267711216926, 2.5400883731349793, 2.542344871844072, 2.5445962902283363, 2.5468426511122777, -0.6248687217052237, -0.6226324079609274, -0.6204010841587927, -0.6181747280800252, -0.6159533176539016, -0.6137368309564573, -0.611525246209188, -0.6093185417777659, -0.6071166961707694, -0.6049196880384277, 2.571225202700774, 2.5734125993727126, 2.575595221781758, 2.5777730907233654, 2.5799462268574134, 2.582114650709384, 2.5842783826715245, 2.5864374430039963, 2.5885918518360165, 2.5907416291669803, 2.592886794867577, -0.5789253301912594, -0.5767893286486527, -0.5746578798856192, -0.5725309645353909, -0.5704085633545113, -0.5682906572217927, -0.5661772271372807, -0.5640682542212325, -0.5619637197131044, -0.5598636049705512, 2.6161848074037186, 2.618276138074311, 2.6203631042070343, 2.6224457239812478, 2.6245240154629634, 2.6265979966057884, 2.628667685251854, 2.6307330991327387, 2.632794255870376, 2.634851172977961, -0.5370488310113137, -0.535000341054761, -0.5329560388322405, -0.5309159072566836, -0.5288799293453885, -0.5268480882191717, -0.5248203671015286, -0.522796749317803, -0.5207772182943629, -0.5187617575577872, 2.6572023481380924, 2.6592097173243827, 2.661213065050829, 2.6632124073979933, 2.6652077603501763, 2.667199139796187, 2.6691865615301014, 2.6711700412520125, 2.6731495945687764, 2.6751252369947487, -0.49685571491963887, -0.49488784809854636, -0.49292384617292484, -0.49096369399119766, -0.4890073764907126, -0.487054878697047, -0.4851061857233192, -0.4831612827695093, -0.48122015512178273, -0.479282788151824, -0.47734916731617427, 2.698533420716576, 2.7004595925778263, 2.7023820614325214, 2.7043008414911807, 2.7062159468826796, 2.708127391654873, 2.7100351897752146, 2.711939355131369, 2.713839901531819, 2.7157368427064643, -0.45632250656493367, -0.45443273496355285, -0.4525465278638423, -0.450663871844333, -0.4487847535592171, -0.4469091597377819, -0.44503707718384566, -0.4431684927752009, -0.4413033934630637, -0.4394417662715253, 2.73636910057514, 2.738223822164405, 2.7400751101289313, 2.7419229771584908, 2.7437674358726367, 2.7456084988212233, 2.747446178484915, 2.7492804872756986, 2.7511114375373817, 2.7529390415460937, -0.4191893873613737, -0.41736843929846623, -0.41555080106129916, -0.41373646063956393, -0.41192540608820716, -0.41011762552695674, -0.4083131071398556, -0.40651183917479816, -0.40471380994307027, -0.40291900781889467, -0.4011274212389797, 2.774613660170079, 2.776398850103634, 2.778180858812337, 2.7799596976139673, 2.7817353777660117, 2.7835079104660965, 2.7852773068524073, 2.787043578004112, 2.7888067349417724, 2.7905667886277636, -0.38162894890547516, -0.3798750690664232, -0.37812425993699095, -0.37637651078351286, -0.3746318109285045, -0.37289014975027057, -0.37115151668251833, -0.3694159012139713, -0.36768329288798896, -0.36595368130218975, 2.8097256427640787, 2.8114492918614995, 2.813169975104069, 2.8148877026808536, 2.816602484728504, 2.8183143313316132, 2.8200232525230726, 2.8217292582844253, 2.8234323585462153, 2.825132563188336, -0.34712281683178103, -0.345428373990214, -0.34373679742912633, -0.3420480774678234, -0.3403622044745718, -0.3386791688662698, -0.33699896110812055, -0.335321571713308, -0.33364699124267494, -0.3319752103044056, 2.843646479318444, 2.8453126891796505, 2.846976127403045, 2.848636803194216, 2.8502947257129643, 2.851949904073609, 2.8536023473452845, 2.8552520645522423, 2.8568990646741437, 2.858543356646355, 2.8601849493602383, -0.3121288472087138, -0.31049262651198095, -0.3088590786606471, -0.3072281949365081, -0.3055999666639455, -0.3039743852096499, -0.3023514419823461, -0.30073112843252026, -0.29911343605215035, -0.2974983563744378, 2.8780668178986115, 2.8796766974078394, 2.881283989370114, 2.8828887020899785, 2.884490843832059, 2.8860904228213236, 2.8876874472433336, 2.8892819252444957, 2.890873864932309, 2.892463274375616, -0.2799025372673076, -0.2783181642598971, -0.2767362975199741, -0.27515692913089596, -0.27358005121347073, -0.272005655925722, -0.27043373546265337, -0.2688642820560174, -0.2672972879740858, -0.26573274552141934, 2.9097820518335107, 2.9113417139699362, 2.9128989473479328, 2.9144537595200304, 2.916006158003584, 2.917556150280994, 2.9191037437999223, 2.9206489459735048, 2.9221917641805657, 2.923732205765832, -0.24868242083201464, -0.24714671059151594, -0.24561335514114702, -0.24408234727050004, -0.2425536798022354, -0.24102734559187722, -0.23950333752761543, -0.23798164853010517, -0.23646227155227084, -0.23494519957910898, -0.2334304256274946, 2.9420347561261635, 2.9435449548575052, 2.945052876327325, 2.946558527393146, 2.948061914881566, 2.9495630455884387, 2.951061926279059, 2.9525585636883456, 2.9540529645210256, 2.9555451354518087, -0.21691761574657886, -0.2154298847146141, -0.21394436373871084, -0.21246104626243678, -0.21097992575849323, -0.20950099572854075, -0.20802424970302957, -0.20654968124102902, -0.20507728393005964, -0.20360705138592516, 2.9718137216196054, 2.9732796436703532, 2.9747434199388083, 2.9762050566976805, 2.977664560192217, 2.9791219366403574, 2.980577192232896, 2.9820303331336397, 2.9834813654795624, 2.984930295380963, -0.18757556995053437, -0.1861308267132169, -0.1846881677480452, -0.18324758704989264, -0.18180907863954787, -0.18037263656356628, -0.17893825489412163, -0.1775059277288591, -0.17607564919075025, -0.1746474134279481, 3.0007314842585093, 3.0021556519262314, 3.0035777942245314, 3.0049979169059577, 3.006416025698585, 3.0078321263061527, 3.0092462244082054, 3.0106583256602253, 3.012068435693771, 3.0134765601166107, 3.0148827045128574, -0.15766582442905186, -0.15626362342761424, -0.15486338584104398, -0.15346510617853326, -0.15206877897227478, -0.15067439877733424, -0.1492819601715225, -0.14789145775526924, -0.14650288615149654, -0.14511624000549572, 3.0302211848873504, 3.0316039960930805, 3.0329848977721907, 3.034363895191147, 3.0357409935946595, 3.0371161982057977, 3.0384895142261157, 3.039860946835764, 3.0412305011936116, 3.0425981824373594, -0.12998870318849587, -0.12862475284393549, -0.1272626603262217, -0.12590242058117296, -0.12454402857520463, -0.123187479295217, -0.12183276774848406, -0.12047988896254358, -0.11912883798508789, -0.11777960988385394, 3.057520499125636, 3.058866096191572, 3.0602098850588786, 3.0615518705807094, 3.062892057590707, 3.0642304509031053, 3.065567055312833, 3.0669018755956197, 3.0682349165080947, 3.069566182787891, 3.070895679153745, -0.10172928856655394, -0.10040331794745638, -0.09907910319846613, -0.09775663967543391, -0.09643592275261059, -0.09511694782255087, -0.0937997102960173, -0.09248420560188331, -0.09117042918703899, -0.08985837651629613, 3.085404655799858, 3.0867132745167445, 3.0880201829885, 3.0893253856795586, 3.0906288870368965, 3.0919306914901226, 3.0932308034515694, 3.0945292273163805, 3.095825967462604, 3.0971210282512747, -0.07553828484564229, -0.0742465697565613, -0.07295652104310069, -0.07166813441138675, -0.07038140558412165, -0.06909633030049722, -0.0678129043161102, -0.06653112340287914, -0.06525098334895962, -0.06397247995866251, 3.111257089819782, 3.1125323324056975, 3.1138059508189535, 3.1150779491914427, 3.1163483316393075, 3.1176171022630257, 3.118884265147485, 3.1201498243620653, 3.121413783960715, 3.1226761479820313, -0.050015778422818125, -0.04875659350140493, -0.047498992132881446, -0.046242970339292144, -0.044988524157652865, -0.0437356496398742, -0.042484342852687984, -0.0412345998775725, -0.039986416810679604, -0.03873978976276016, -0.03749471485909317, 3.1377015106327404, 3.1389434928143185, 3.140183934389366, 3.1414228391752124, 3.142660210975018, 3.1438960535778433, 3.145130370758717, 3.1463631662787073, 3.147594443884988, 3.148824207310911, -0.023900238596083367, -0.022673492385784755, -0.021448249238062322, -0.020224505474188526, -0.019002257428924585, -0.01778150145045454, -0.01656223390032019, -0.015344451153356253, -0.014128149597624429, -0.012913325634351436, 3.1622527231942903, 3.1634646027166333, 3.164675015364496, 3.1658839646846317, 3.167091454210949, 3.1682974874645664, 3.1695020679538817, 3.1707051991746273, 3.1719068846099336, 3.1731071277303906, 0.00035323312195179035, 0.0015506019746081012, 0.0027465388495298004, 0.003941047167736134, 0.005134130338002141, 0.006325791756916388, 0.0075160348089384765, 0.008704862866458107, 0.009892279289851702, 0.011078287427539024, 0.005437431604812986, -0.00615429769598336, -0.011978064265539557, 0.021416584322166123, -0.0009462100189797199, -0.00928828100033933, -0.008852303456915945, -0.004121884804721504, -0.004826187964480047, 0.0016416481984073612, 0.002330952390597439, 0.001179946123434999, 0.014623781203460173, 0.015387149676145979, -0.02439105815056023, 0.006034412250381314, -0.002510439680857766, -0.0016386711649477017, -0.014763296931546016, 0.014869809580472005, -0.00024455177494065746, 0.0035555131712243218, 0.004170111096631751, 0.008324618571211561, -0.0029339914635866174, -0.00029838569359748687, 0.0009512578431713645, 0.0066465434274985205, -0.0014021849735700804, -0.00033193400066544885, -0.007490765234433554, -0.007783820070908942, 0.009488428577190162, 0.015808505860390263, -0.0036817094134354144, 0.003755646338406941, -0.011931582294890924, -0.004090519017239313, -0.0044674147097314605, 0.015242416328552062, 0.0032299979727829758, -0.013934169408727038, -0.021783342468237085, -0.01043896408234835, 0.0017269370652551177, 0.0032419876755273177, 0.007458595418254313, -0.018365832393175525, 0.005644642385551357, 0.0002550066808134837, 0.004731932494600233, 0.0065919059842898435, 0.023407463341030464, 0.01070985187017369, 0.0009641647903025843, 0.004191021055976431, -0.009530277892165023, -0.010478706025818138, -0.018756767722065172, -0.013667821388862978, 0.08088752974172708, 0.08199230125428536, 3.257048552465685, 3.2581508883194985, 3.259252010366877, 3.2603519212779797, 3.2614506237141625, 3.2625481203280207, 3.2636444137634255, 3.2647395066555607, 3.2658334016309647, 3.2669261013075634, 0.0940649094225594, 0.09515522632107687, 0.09624435572328505, 0.09733230021304418, 0.09841906236579123, 0.09950464474857501, 0.10058904992009321, 0.10167228043072862, 0.10275433882258533, 0.10383522762952402, 3.2788676482493497, 3.279946205455239, 3.2810236006286875, 3.2820998362709375, 3.283174914875164, 3.2842488389265094, 3.285321610902118, 3.28639323327117, 3.287463708494917, 3.2885330390267153, 0.11564852843990447, 0.11671557691645562, 0.11778148801408617, 0.1188462641549044, 0.11990990775328969, 0.12097242121592577, 0.12203380694183319, 0.12309406732240125, 0.12415320474142133, 0.12521122157511821, 0.1262681201921827, 3.301276601825955, 3.3023312710858477, 3.3033848291902914, 3.304437278478156, 3.3054886212809342, 3.3065388599227736, 3.3075879967205064, 3.3086360339836802, 3.3096829740145886, 3.310728819108303, 0.137820872680547, 0.13886453475633953, 0.13990710873710843, 0.14094859688933048, 0.1419890014724079, 0.1430283247386983, 0.14406656893354386, 0.14510373629530027, 0.14613982905536593, 0.14717484943821058, 3.3221614985335566, 3.323194380807797, 3.324226197336939, 3.3252569503180243, 3.326286641941305, 3.3273152743902763, 3.328342849841701, 3.32936937046564, 3.3303948384254762, 3.331419255877946, 0.15848992610100954, 0.15951224898249228, 0.16053352778719399, 0.16155376464552584, 0.1625729616813858, 0.1635911210121841, 0.16460824474886993, 0.16562433499595786, 0.1666393938515538, 0.16765342340738076, 3.342619124620958, 3.343631101827016, 3.3446420559704375, 3.345651989117672, 3.3466609033289156, 3.3476688006581337, 3.348675683153089, 3.3496815528553627, 3.3506864118003845, 3.3516902620174505, 3.352693105529755, 0.1797422454822568, 0.18074308163031727, 0.18174291710680746, 0.18274175391074254, 0.18373959403515427, 0.1847364394671136, 0.18573229218775533, 0.18672715417230124, 0.187721027390084, 0.18871391380457014, 3.363658514245535, 3.3646494329204795, 3.3656393706475627, 3.366628329367019, 3.367616311013332, 3.368603317515257, 3.3695893507958443, 3.37057441277246, 3.371558505356812, 3.3725416304549665, 0.19957109109522442, 0.20055228691674754, 0.20153252093666918, 0.20251179503872407, 0.20349011110111936, 0.2044674709965537, 0.20544387659224128, 0.20641932974993193, 0.20739383232593234, 0.2083673861711275, 3.383292692003155, 3.3842643539178145, 3.385235072622006, 3.386204849945136, 3.3871736877112975, 3.388141587739285, 3.3891085518426163, 3.3900745818295555, 3.3910396795031286, 3.3920038466611486, 0.21901438622407987, 0.219976697723669, 0.22093808407005033, 0.2218985470403747, 0.2228580884066773, 0.22381670993589764, 0.2247744133898979, 0.2257312005254839, 0.22668707309442282, 0.22764203284346385, 0.2285960815143564, 3.403501919716022, 3.404454151435963, 3.405405477273198, 3.406355898949668, 3.4073054181824087, 3.4082540366835703, 3.4092017561604346, 3.410148578315435, 3.411094504846172, 3.412039537445434, 0.23903097892906322, 0.23997422872458096, 0.24091658963829388, 0.2418580633439198, 0.24279865151045343, 0.2437383558021855, 0.244677177878718, 0.24561511939498404, 0.24655218200126394, 0.24748836734320312, 3.422376375933982, 3.423310811665724, 3.4242443750424245, 3.425177067691364, 3.4261088912352706, 3.4270398472923427, 3.427969937476261, 3.428899163396211, 3.429827526656894, 3.430755028858547, 0.25772897272480577, 0.25865475759133183, 0.2595796861729134, 0.26050376005209164, 0.26142698080702487, 0.2623493500115044, 0.2632708692349708, 0.26419154004252965, 0.2651113639949674, 0.266030342648768, 0.2669484775561284, 3.4418184691371256, 3.4427349211911245, 3.4436505341297066, 3.444565309488076, 3.445479248797228, 3.4463923535839642, 3.447304625370907, 3.4482160656765157, 3.4491266760151023, 3.450036457896844, 0.2769927139556485, 0.2779008434377781, 0.2788081489689491, 0.27971463204295666, 0.2806202941495377, 0.2815251367743852, 0.2824291613991623, 0.2833323695015182, 0.28423476255510094, 0.28513634202957383, 3.4599898082627805, 3.460889764972149, 3.461788912487624, 3.4626872522630676, 3.463584785748427, 3.46448151438975, 3.4653774396291963, 3.466272562905054, 3.4671668856517512, 3.468060409299872, 0.2950004364040164, 0.2958923661314239, 0.296783501029072, 0.29767384251230133, 0.2985633919926747, 0.29945215087799126, 0.3003401205723002, 0.30122730247591356, 0.3021136979854202, 0.3029993084936975, 3.477836834262079, 3.478720878931756, 3.4796041427567053, 3.4804866271150945, 3.481368333381444, 3.4822492629266435, 3.4831294171179614, 3.48400879731906, 3.4848874048900056, 3.485765241187285, 3.486642307563815, 0.3135659064968024, 0.31444143707636796, 0.3153162017726432, 0.3161902019243923, 0.3170634388668727, 0.3179359139318465, 0.31880762844759336, 0.3196785837389222, 0.32054878112718344, 0.3214182219302808, 3.496239606334836, 3.497107537907591, 3.4979747168283346, 3.4988411444013034, 3.4997068219273473, 3.5005717507039416, 3.5014359320251955, 3.5022993671818687, 3.5031620574613793, 3.5040240041478157, 0.33093250964979726, 0.33179297298909405, 0.33265269656772367, 0.3335116816565733, 0.3343699295232576, 0.33522744143213057, 0.3360842186442956, 0.3369402624176183, 0.3377955740067362, 0.33865015466307047, 3.513456704506989, 3.5143098270392072, 3.5151622223737156, 3.5160138917491777, 3.516864836401096, 3.5177150575618206, 3.5185645564605625, 3.519413334323401, 3.520261392373297, 3.521108731830103, 0.3480026550384199, 0.3488485609562182, 0.3496937519219345, 0.3505382291430903, 0.3513819938241505, 0.352225047166534, 0.35306739036862367, 0.3539090246257761, 0.35474995113033314, 0.35559017107163005, 0.3564296856360074, 3.531221194878973, 3.5320593022366014 ]
Based on the given time series, how many different regimes are there?
[ "3", "1", "4" ]
3
multiple_choice
null
null
40
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Regime Switching" ]
First identify the different patterns in the time series. It might be helpful to identify their individual starting and ending points. Then, count the number of different patterns.
Pattern Recognition
Regime Switching Detection
430
[ 0.058670513732246625, 0.0917001246953936, 0.019752647620129463, -0.08501366933295941, 0.15616616554807183, 0.008163275334381239, -0.05002718565042516, -0.0011371193928508133, 0.06138625978675502, 0.06623574574980809, -0.040088135376263045, -0.040136280865726064, 0.0064578115113240395, 0.11141664091321635, -0.013562979028381522, 0.1774668404127539, 0.05218380821629375, 0.08610230070663363, 0.12243848284393868, -0.014238691050087932, 0.06101273041554564, 0.22050059515356593, 0.18017441932363176, 0.16317896873674995, 0.27698089477167614, 0.338250156726088, 0.25037186041007986, 0.017820575611234013, -0.012791918842654598, 0.30742415647680954, 0.13976403275967525, 0.014170190715285108, 0.2749692282177236, 0.06858539709543078, 0.2128468045592417, 0.09674638257301255, 0.16570610434407287, 0.13733492291294003, 0.15643008617857637, 0.15140153309328624, 0.11881934121605203, 0.1531937109169736, 0.283593495206251, 0.26494580134805684, 0.04465570719350129, 0.15161672297939516, 0.10037948967471302, 0.25396384758802865, 0.32563517933656166, 0.10649046802055159, 0.14781197272575908, 0.2446010788707138, 0.11051426597612338, 0.393741951932174, 0.3226095779538695, 0.38735866893038995, 0.2782463102816525, 0.32900942329062344, 0.3715916234282604, 0.24748462186822223, 0.24601901873216306, 0.30732948788245873, 0.29424966919826523, 0.4423190255302205, 0.31420795274169416, 0.36850741948812976, 0.15562550683865156, 0.42184853746775713, 0.36189524135267764, 0.3131386240566391, 0.3648973016248037, 0.2763821218140648, 0.2431506321380944, 0.21775576396593216, 0.5256203605027987, 0.5408221668405782, 0.44345174874570886, 0.6142245092605486, 0.5730601221344253, 0.41571624105940863, 0.5641859404993215, 0.4935740899551329, 0.43967670398926506, 0.2711453768796168, 0.47876065340340307, 0.48257804558524175, 0.5006912841248575, 0.5191949747008371, 0.3305040454345281, 0.6623281520879823, 0.5525925236142822, 0.4213753943285703, 0.4565371387645329, 0.41952879048861236, 0.31530612423372456, 0.5310111010810792, 0.3381044096576076, 0.384582858852441, 0.42260803559421506, 0.3925663832668207, 0.7155479064439311, 0.607436215193714, 0.5714018252992312, 0.4840760281693557, 0.558759543248467, 0.6885710188231778, 0.5471757965080859, 0.6701409273984167, 0.4784148683951311, 0.4848222500145889, 0.5757197320814946, 0.7948640013179566, 0.548712977920781, 0.5368385797024657, 0.5114364767707162, 0.5160761226512005, 0.49757081833277306, 0.6681790696550212, 0.5245477723922741, 0.4797274046519414, 0.6140812012562076, 0.5449810865449518, 0.5479443989382452, 0.6275859399259851, 0.4768351863346992, 0.622323961536174, 0.4775773538725571, 0.5834404730461245, 0.5942014649709728, 0.7471572515753999, 0.6998990159954755, 0.5018169253080415, 0.6083469240049021, 0.7589710709401899, 0.6340698356184421, 0.6916373792461905, 0.5852379801172604, 0.4785815323772342, 0.6912579123702873, 0.6462374231943988, 0.558305004697839, 0.7668381935894412, 0.7176534203311634, 0.7647630428016019, 0.654802832358255, 0.6550109580920245, 0.5807899056093575, 0.8799271067101971, 0.7503552501155052, 0.645609372943984, 0.7140890845645492, 0.6996531463442126, 0.7467012815079277, 0.7374245982102157, 0.8334010821694471, 0.7538527113294043, 0.6971762958787197, 0.9040169716740868, 0.8225090355619764, 0.8260533724772494, 0.8401074055532645, 0.5521239125425079, 0.9294525573731076, 0.7504882925143335, 0.8263319688141394, 0.920141824904426, 0.7653305216213953, 0.8330966975825709, 0.8877167976651277, 0.8336340597143288, 0.7033436303980802, 0.9892610681005131, 0.8342944786872178, 0.9411842526951031, 0.7192988120339506, 0.9652469627686636, 0.804610892804479, 0.8613545340649251, 0.8346832059110166, 0.9191911739978783, 1.0171209058908104, 0.9638633677569195, 1.016065365316665, 0.9926390520584096, 1.0241951607269324, 1.0767010709946643, 0.8605932849905895, 1.0823135302158136, 0.9234454052634513, 0.9113717010701454, 1.2462647966180718, 0.9113686202982669, 1.1353109206040695, 1.0299068253827213, 0.9509315262518034, 0.7874827091433835, 0.7638263458512321, 0.8962130671258401, 1.0832114877865964, 1.0310247157068555, 0.9248584236901292, 1.053656113664845, 1.1431927128921684, 1.0816768464631206, 0.881249007825122, 0.9105471207791748, 0.9970426856882615, 1.006657414876973, 1.0161070182815746, 0.9736562437472357, 1.1439898917671696, 1.0503519680103035, 1.1907724387848695, 0.9649699855711744, 0.911968530600329, 1.1822937754352145, 1.2545388322618516, 0.9975107592765835, 1.0083975552874933, 1.0824040479702761, 1.2526972498908513, 1.3886524687802848, 1.0588412995418406, 1.0971024562984304, 1.0352438139961821, 1.069686199370123, 1.2104282837661144, 1.2716151986116597, 1.236918558830827, 1.1449211756825646, 1.0175778441881664, 1.0435563455061618, 1.285181445380836, 1.17978286878348, 1.2348963561227795, 1.2985932826764348, 1.0876074280920078, 1.198149252713604, 1.330269134833327, 1.275335732113051, 1.176514783420945, 1.0186667105652727, 1.2989162434072457, 1.2912063950859372, 1.2237401043333902, 1.2867490338749301, 1.3613964241438785, 1.1370869557176482, 1.302015628709414, 1.2128999776248275, 1.2096658418393165, 1.215328153575396, 1.3168670762415213, 1.2608901397369876, 1.3231496491865389, 1.214148834096823, 1.3629126870799235, 1.2746235172580764, 1.3023142545173678, 1.5016379860731304, 1.253985936889951, 1.5375532377972367, 1.386162130498649, 1.3827068899658608, 1.3244282295037357, 1.4834036286263208, 1.3293803550158927, 1.4083515693907904, 1.3660187756894844, 1.5442769719219918, 1.3512983654520412, 1.4458062405721182, 1.413168872885438, 1.5928769474069622, 1.3875193037487603, 1.5101820446158014, 1.5624179650617385, 1.3265083263048814, 1.379268900221029, 1.5594974470770282, 1.4601601173027825, 1.4230350631773723, 1.529568059427423, 1.451326739322962, 1.4579605814186352, 1.4286672694472682, 1.514281419916581, 1.3885381612375527, 1.6531529060409549, 1.3476068582249896, 1.617447341351172, 1.6230982415453519, 1.4472666639508298, 1.4655812712752445, 1.4443174423938157, 1.5019632129190916, 1.3858455350192986, 1.618234717846143, 1.416641256454404, 1.504729336321558, 1.6058674113187816, 1.4656958314831072, 1.5645751976092446, 1.6660298770856816, 1.5837122000755874, 1.5287472521711456, 1.4214966173661525, 1.5712508517728276, 1.4511028350917397, 1.8237181791667358, 1.5958572037167331, 1.6860940855141446, 1.5886955409146242, 1.4636818025508114, 1.612776131607533, 1.6428613639585932, 1.5984204287184138, 1.8554838688833581, 1.466221121401827, 1.683573415353559, 1.5712280234214155, 1.6817409221665414, 1.7068559486425408, 1.6550758449847334, 1.780659585571607, 1.681261138435621, 1.611098441744073, 1.6953715773325333, 1.761566235874741, 1.856186588138456, 1.5945600652943333, 1.5921659744151162, 1.7832770804282263, 1.7569504374867162, 1.6573095241921543, 1.7927217580135022, 1.7531453382221835, 1.630830938483682, 1.5625657266697117, 1.704862160338432, 1.7999542634324754, 2.7740240066029753, 2.604426380880384, 2.6307070941805177, 2.9081316875592296, 2.5733696949162757, 2.7946967270013943, 2.732051189845154, 2.869871934335575, 2.7273202384335278, 2.6879183350481566, 2.75535963644692, 2.798391666812573, 2.7175645715276078, 2.6337577270035184, 2.78571337435905, 2.7058525949367582, 2.7858281133850595, 2.77415989528356, 2.9475338526907695, 2.8657418407617103, 2.732917781984767, 2.918630803313503, 2.7299835966082515, 2.8409083389558387, 3.0368205107840227, 2.875524108710931, 2.9323759426762663, 2.811535658161218, 2.797285985044169, 2.982883340048278, 2.7647864025449658, 2.7330993944035527, 2.714896900374238, 2.9105812413224075, 2.9708870149394317, 2.7285877835594, 3.046490069831479, 2.8467713184070527, 3.048746090274303, 2.987648324778789, 2.9678606354189645, 3.0066825476529946, 2.9988019138243174, 2.92857296900396, 3.0378698618180553, 2.902755029807455, 2.803125497058144, 2.8907355734153266, 3.020321155711201, 3.0753916936838013, 3.126482506353014, 3.042162240224596, 2.885039871395319, 3.010434307210664, 3.0577726347582104, 3.2427794244001187, 3.0444567653786367, 2.916734282712988, 3.035696306818645, 3.0832939936770045, 3.096503994855416, 3.1212490953526197, 3.0263353559317183, 3.1015768925466434, 3.329576575194941, 3.16884010065037, 3.003074692395871, 3.1421223159550657, 2.998083747120743, 3.2887359801880405, 3.2587081929780757, 3.221825865187616, 3.279097225549035, 3.133737530590722, 3.0479308766932935, 3.176123802427459, 3.1435599763729267, 3.1294749771689303, 3.2672238410543653, 3.3023700670259233, 3.598736204727448, 3.2051650814108754, 3.21587758700611, 3.1361104069198418, 3.223680746846694, 3.3103035082726318, 3.33288754674191, 3.3212019809321376, 3.0803529318765093, 3.1993521347809946, 3.309059652558612, 3.300083525392228, 3.373445394315598, 3.3194333665088562, 3.145892826251118, 3.498189135829738, 3.317218545388283, 3.4164585631432813, 3.2573784209482506, 3.4135650446316586, 3.407842222860285, 3.159709497882598, 3.3964347506506103, 3.194696390575629, 3.423004066397217, 3.35709242651322, 3.3562786667039806, 3.379237533842778, 3.7041448876293606, 3.6719431862232175, 3.3261208806560494, 3.4014008891377436, 3.5851762539337737, 3.2618581481388573, 3.5148007219545825, 3.2679502247866004, 3.4917734179627393, 3.4609740957607764, 3.553759417286151, 3.639373889047375, 3.4203646919983814, 3.757015862754351, 3.6455091446897834, 3.448315220105194, 3.5967701781793546, 3.721660825857332, 3.6507359140381483, 3.6458818841378893, 3.668083980386661, 3.6320235081991723, 3.727854408039706, 3.6002192734548712, 3.543110201423898, 3.7107369303532423, 3.6559550535571423, 3.646321523130216, 3.5940761293699164, 3.8166545140079924, 3.593941773472056, 3.7563728285224505, 3.8016905918516066, 3.8632122322389804, 3.7779496524528287, 3.9684235594935924, 3.805967062012885, 3.7522206907935365, 3.884777503373793, 3.916573800232415, 3.8077597115111828, 3.9438984235582843, 3.884504580454605, 4.010171662841997, 3.894980888675775, 3.9097705420965, 3.849819465992589, 3.6632719629526274, 3.897537205417444, 4.029227070540192, 3.8472063378815404, 3.8933768092624965, 4.008266213359555, 3.9642300013643608, 3.9944250568412887, 4.099842120443316, 4.211514195590058, 4.0462035391910565, 3.905088850104995, 3.8961934680892574, 4.1681362580717884, 4.202484150736508, 4.072941416354665, 3.9398853843586097, 4.198842278255625, 4.121655292765756, 4.081627457576574, 4.197410753644516, 3.9931443641460236, 4.248606560530548, 4.1398592813161486, 4.140686534958776, 4.1719173111803975, 4.222821708646019, 4.140742924097748, 4.0901347998017, 4.306728350361722, 4.282968317321981, 4.193234128737656, 4.274022462076192, 4.308437068439865, 4.298523369406266, 4.42433563842065, 4.276096221685807, 4.413242041095951, 4.421972624630272, 4.407795553973753, 4.415056122011917, 4.433815339781148, 4.2894106958427285, 4.370138785491405, 4.507471864138848, 4.443304794254977, 4.219797159848127, 4.603651168574831, 4.6620002014825745, 4.600798315033136, 4.709646385653739, 4.552397338965497, 4.497530956196566, 4.531474943010129, 4.576182027320503, 4.62675271221445, 4.617555673202228, 4.711615028260379, 4.773796349492617, 4.5257490986065525, 4.82839075244666, 4.625791015260008, 4.494081409364939, 4.793748195318054, 4.744668767684836, 4.667402816366521, 4.7628425102860685, 4.770074619869244, 4.826193177787969, 4.879330864897261, 5.0194425575315265, 4.896131828941137, 4.887014289793767, 4.920887302556399, 4.8732141570467205, 4.863075743135055, 5.028026023648956, 4.8945283287206465, 4.931937405881651, 4.920694242320396, 4.950235411844241, 4.9260037867572875, 5.135983756958891, 5.081914808028199, 5.283995559892762, 5.049292383580679, 5.104608787018984, 5.128403467839619, 4.962233138258958, 5.2583084483386395, 5.175815467270058, 5.1600072227940625, 5.199319221586377, 5.131770149988882, 5.100980845644616, 5.101609300685844, 5.311622417400157, 5.369379701135135, 5.261810752834191, 5.257111930894887, 5.2962691702754645, 5.191532201064992, 5.314008297092542, 5.417928321008609, 5.426456600741364, 5.306479337018247, 5.435310690816473, 5.533898319716147, 5.555723767754204, 5.464814288836424, 5.643594158291564, 5.479898789949199, 5.594971139926055, 5.69228243069825, 5.779421482123126, 5.727584569847235, 5.639125619774169, 5.667114499934564, 5.656047955943376, 5.833065263962076, 5.851995450156472, 5.791313239006293, 5.663640621760817, 5.8143034398882865, 5.844685823183628, 5.865752743785514, 5.858233473162375, 5.8997082983293545, 5.929498749607472, 5.875651796753274, 6.060604269108969, 6.050372031803798, 6.047027031764411, 5.951425621790752, 5.925845618728887, 5.9392365659466115, 5.8496795769388825, 6.163095570357708, 6.103685551538841, 6.140157122641728, 6.088388895487672, 6.154921014717392, 6.134683148211889, 6.284524732389567, 6.1548359698471105, 6.230724650633257, 6.258144234647328, 6.27680370444836, 6.441946451491963, 6.385977640340997, 6.154102729667962, 6.464508382376933, 6.517988373238657, 6.460111487486396, 6.366914215421191, 6.482375545363514, 6.545373599936678, 6.7110396798486365, 6.487219420846931, 6.4902336306695245, 6.454731053290337, 6.767000562740013, 6.651524103055979, 6.525478401971088, 6.797323401173118, 6.776261776249121, 6.74249040624534, 6.746315923446208, 6.9367303465423165, 6.99200051752705, 6.762145084277822, 6.960714425799185, 6.980339248566693, 7.091595285773811, 7.02866958594189, 7.040679043834486, 7.0891564805923375, 7.2333122869925734, 7.186358476571507, 7.120786889204191, 7.1083363762174, 7.077425467384468, 7.077164879555322, 7.184882921860943, 7.256271368987148, 7.284875724371792, 7.247741642187573, 7.217201559384648, 7.315574938133652, 7.243815139832445, 7.320864914030766, 7.166918338921614, 7.295407583113627, 7.135032763559813, 7.344878503522688, 7.1588346149279385, 7.353816845955871, 7.4541442750363975, 7.325431518881427, 7.3621855625972055, 7.093946149508965, 7.112331967140093, 7.303666708625528, 7.170789644554987, 7.1133499242824145, 7.115267484004089, 7.201269602444987, 7.203810250891249, 7.278835959013272, 7.1369166157771655, 7.13900177397862, 7.150847283670849, 7.131880688226762, 7.000641543305332, 7.057440079792294, 7.147689027874587, 7.104840550798599, 7.126249067130275, 7.108694391634401, 7.026625116040159, 7.144123411773811, 7.312288146510039, 6.9330886191675125, 7.078827379970761, 7.186139333211615, 6.930462977916032, 7.081105424851891, 7.205472710606555, 7.100442815789119, 7.237827847102084, 7.089162312389921, 6.943807666327173, 7.008924675927986, 6.9940334842058505, 7.026146600818466, 7.070878630418383, 7.01766622923239, 7.205984678132892, 6.973172524206697, 7.023879832623172, 7.214322129248321, 7.10400802642728, 6.798054950725597, 7.202064666435901, 6.960945737522255, 6.963146022175303, 7.1198270853505266, 6.861795754453961, 6.966185290337606, 6.952445504521312, 7.1093960686786115, 7.144241654193925, 7.03020248845428, 6.946833045385029, 7.062148477238687, 6.876971064041216, 6.856609454820399, 6.991391941140184, 6.972028729827536, 6.896913194148082, 7.036596280267205, 6.953350414385768, 6.947922488505787, 6.958623593895364, 7.029159282378446, 6.843385735775419, 6.964017718953904, 6.749081938332817, 6.930014126670006, 6.881353048327131, 6.868975058767536, 6.8086973750733195, 6.753816194962063, 6.937270617385169, 6.862318605398744, 7.014243391888559, 6.958213999430642, 6.888622415150796, 6.808695258305738, 6.711509902912344, 6.802336652321881, 6.858224847006462, 6.8502327016070845, 6.834451528598751, 6.926528971688575, 6.868036282283585, 6.845965093924668, 6.893272009560998, 6.818551429268742, 6.941384848400925, 6.958746518941095, 7.022589667556561, 6.570831488759264, 6.6858766255632816, 6.836259938563694, 6.860017892179046, 6.84086698435723, 6.82022074197836, 6.7499013911219645, 6.948487844553625, 6.909712071879272, 6.666850760015421, 6.90658206343503, 6.902328808982368, 6.571909168405038, 6.914062721824559, 6.845958706912653, 6.851889493851454, 6.789382184936981, 6.721914873388275, 6.820908335743008, 6.800021404607799, 6.848689197430394, 6.735342189017583, 6.677776153692345, 6.62018127618868, 6.658550419216508, 6.764041867304073, 6.888082497393097, 6.719566688590265, 6.7734994762918195, 6.802957466780878, 6.853716280688914, 6.544460031771015, 6.847580894716922, 6.72292404288994, 6.744712991888382, 6.734815371940805, 6.692341801355891, 6.634172605037061, 6.710211991524007, 6.698920602513394, 6.690203358517492, 6.682985843387294, 6.653425816632803, 6.578629963563639, 6.491268009162945, 6.45924634665443, 6.7244084529862995, 6.53518873550077, 6.828938429840889, 6.48524321579016, 6.716704027435597, 6.5119330586110395, 6.557738103763741, 6.636802276970608, 6.501751908881665, 6.5861451558951645, 6.51537995784873, 6.487746868209009, 6.701523821834442, 6.559306718680841, 6.478557520434634, 6.3966101928731725, 6.64446564915519, 6.426885750100762, 6.432260784839439, 6.597655436843233, 6.5643572225658575, 6.486980270781046, 6.6375350591250415, 6.570789760236224, 6.644270979055483, 6.620015772843204, 6.502156506270703, 6.373650643569161, 6.378368798408755, 6.506200395623947, 6.3579750435919555, 6.423936508243748, 6.390248070609784, 6.363040094586541, 6.449031763681878, 6.565029394346379, 6.522677736542788, 6.3294947721485775, 6.400179903186367, 6.364526742071208, 6.430238647820347, 6.467159072593377, 6.376439844090173, 6.5852848072611225, 6.3396970281774365, 6.50130900198082, 6.3909340336278175, 6.4268382544862845, 6.430487319825507, 6.417529928905057, 6.374414608087465, 6.3022174688581725, 6.367834058160241, 6.278230669477634, 6.565663064954974, 6.442598359705341, 6.202295260517012, 6.405951207359854, 6.1792669861540706, 6.300795947586337, 6.111092608159846, 6.36185457982629, 6.59194525088466, 6.24143502626612, 6.3770550104487, 6.31334807994036, 6.278174911854869, 6.262141565528684, 6.2497820822204115, 6.321919878797106, 6.26985914844927, 6.38585808126481, 6.1978007312655885, 6.42845531867999, 6.3764274410159025, 6.383077726375088, 6.449937243906187, 6.294286196644992, 6.321951584257285, 6.435498777676964, 6.186053728115304, 6.146196061256463, 6.386687700580129, 6.30353730584936, 6.237861933627718, 6.15692582404741, 6.210193038078062, 6.122648185032597, 6.372841674541346, 6.23332937586208, 6.172381968440814, 6.301352150754742, 6.149890356658153, 6.358162829325414, 6.151717856380632, 6.191279375323621, 6.076150472615891, 6.087620854479682, 6.335807717024031, 6.236164200337074, 6.236988127002651, 6.090720342168902, 6.351040446044145, 6.236891726982033, 6.277968472664474, 6.054047693542938, 6.017338343587289, 5.943669559513978, 6.14928609472071, 5.961952391272885, 6.216410408360559, 6.145878786557312, 6.293941378534952, 6.249339697615539, 6.444242632954764, 6.084339143432099, 6.019286173747124, 6.1256987562229535, 6.229270808037121, 6.034181230286331, 5.878696281360496, 6.167909385608926, 6.034251891372824, 6.091427801649749, 6.099609990146318, 6.061247403067305, 6.021243829650313, 6.1771977806094505, 6.030732298687538, 5.879822274712737, 6.186509651933832, 5.9545318431102725, 6.2705274309786, 6.14471757914068, 6.158326054176982, 6.157718811287965, 6.041578985188281, 5.909073674618834, 6.101353004718231, 6.129651383310496, 5.921093287999628, 5.928758996126318, 6.168162826617907, 5.9951341426599365, 5.950211671556118, 5.925584764989799, 6.161839145140606, 6.208616780433188, 6.142915549583419, 5.978515004502652, 5.835880279302395, 6.23854564944944, 5.938043422214634, 5.980972420151873, 5.8006578699713645, 6.081406881328718, 5.925969007000483, 5.810403010312619, 6.052394023240882, 5.989265438139186, 5.785150253402364, 5.998731261424595, 5.774451348989647, 5.924781774713991, 5.9689486617040926, 5.803048455962094, 5.753534590276401, 6.064701718401469, 5.9286059295736475, 6.03738748508322, 5.9708374379708085, 5.85265718347336, 5.741107843817003, 5.8885308386692525, 6.00637237140985, 5.849407583798007, 5.919361383584791, 5.92292418019884, 5.844433040711057, 5.77732438302127, 5.899997654121571, 5.977972083279145, 6.044515032771245, 5.774935115643836, 5.831659308589857, 5.925744467025033, 5.961843978727323, 5.908115579503041, 5.844888938520814, 5.722048765820491 ]
The given time series has multiple trends followed by each other, what is the correct ordering of the trend components?
[ "Exponential -> Linear -> Log", "Linear -> Exponential -> Log", "Log", "Linear -> Exponential" ]
Linear -> Exponential
multiple_choice
null
null
9
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
Identify the different components first, and then check the assignment of each component.
Pattern Recognition
Trend Recognition
431
[ -0.07133956288172587, 0.04404404461526715, 0.02208507612976139, -0.05454498742388143, 0.01607031907569316, 0.21461402366054783, -0.07932516155081393, 0.006108715516564771, 0.1093793523936824, -0.07585891284432382, 0.05055169003546693, 0.19390268703217461, 0.0460115405289315, 0.20299966050812637, 0.012539906960590569, 0.25475504866449866, 0.34442647344178456, -0.04645234063391446, 0.2872545757143803, 0.13162662575006823, 0.11910509325371427, 0.06601805672066519, 0.061830930446962126, 0.25385103340944154, 0.14791124055548277, 0.0009676233527218248, 0.2919840038549143, 0.23301434388714515, 0.1687703005160985, 0.3443070321321648, 0.29938329868371844, 0.29528896025682777, 0.06579209394615573, 0.28189695351916844, 0.3385848697750262, 0.2102165927594667, 0.2318579544620472, 0.08205113381373014, 0.08416075517738442, 0.3913801497309488, 0.28081955704755795, 0.2386891715925159, 0.2807984947990492, 0.4420629401115884, 0.5175661364285156, 0.44267798281853493, 0.35527541418779474, 0.5468777721278889, 0.2974984529990585, 0.26505883448080814, 0.46863966590981476, 0.47938665848071893, 0.4396671882796747, 0.45542810907763953, 0.30447088826961644, 0.4446571541213544, 0.30638665718757685, 0.4715747249800664, 0.583562021255788, 0.5054072569438545, 0.40445792025246696, 0.4883143960868205, 0.4667677532129978, 0.4602379526310358, 0.4736128372915955, 0.39425645860797404, 0.5499434470242472, 0.5160193760501367, 0.6648250202837026, 0.5921536442928822, 0.7159901020402879, 0.7089620132677539, 0.43385137445046773, 0.5169589858430581, 0.45410305222337577, 0.49645170156239027, 0.5312620247740969, 0.7842255546693525, 0.7695327287827326, 0.6537550372627637, 0.5811511390877712, 0.4812187943374897, 0.5822696812894119, 0.6602599223393013, 0.5827918618233077, 0.777119057560351, 0.8610768081408078, 0.6081561847356052, 0.6819604154717734, 0.6707803485554211, 0.6749758928799057, 0.6420000587670045, 0.6611260527527891, 0.6139606464648238, 0.7936169829007155, 0.8055548535335525, 0.8932062771984912, 0.6440614817371578, 0.6378874774037655, 0.6296938864232334, 0.6896415243518753, 0.9553103277858284, 0.7078542333424667, 0.828515261975458, 0.990384024225974, 0.8583025344099545, 0.7994776314939197, 0.5888719970759648, 0.8306089533446221, 0.9044694366806815, 0.8505936780150665, 0.859899767704086, 0.7637480085554917, 1.0811859726600708, 0.8621860288453366, 0.9845664701235598, 0.9156056499240083, 0.8872162749617529, 0.9009481614883473, 1.053118235725588, 0.893582409443519, 0.9976864409691614, 0.9951014036733059, 0.8938218293506374, 0.8903145822840346, 1.0319548189243957, 1.1781909433176354, 0.8661815387608855, 0.9594183526676338, 1.0228850473671218, 1.039634086656894, 1.0227052508000005, 1.2890249777788552, 1.0276355598960432, 0.9076109606870787, 1.213176673457305, 0.9640664001957994, 1.0751102882759234, 1.0172820050552502, 1.0205128271502302, 0.977420692970459, 1.1838064657470844, 1.222456011874191, 1.1851579526126828, 1.2890190318199304, 1.0699399352784758, 1.1256962474455803, 1.0938614795961923, 1.218840932245028, 1.199791601048309, 1.0332152149198286, 1.3271672849302267, 1.1114947923750162, 1.0531597411729616, 1.0878888353770255, 1.3439590487419621, 1.3957704209874096, 1.224808814541893, 1.330361766352439, 1.1634623786512963, 1.3210018358561397, 1.3137822066477562, 1.1556798451012906, 1.2862601281090782, 1.299799700684829, 1.2200805007912843, 1.3878446197565484, 1.203963266475874, 1.4104625642976207, 1.5101530494286504, 1.397369026233135, 1.4407901783422625, 1.446955633040806, 1.4576096387228705, 1.3404722510800644, 1.4301144443237133, 1.433588248889205, 1.2582857245187333, 1.361624848617767, 1.3363337993181927, 1.3703721039013483, 1.5373956865571554, 1.3925275541040634, 1.3979990089138792, 1.4617999491139075, 1.436679578234432, 1.3840564093596008, 1.4946178886914772, 1.4875591128314738, 1.4316708299243466, 1.5254182918074382, 1.4704160756637148, 1.602860938927923, 1.3444383644428919, 1.4815829910671836, 1.5566495040166315, 1.5180584365048053, 1.4169256777273487, 1.7624684334311405, 1.5773530075978504, 1.4605738248991809, 1.6696495475412347, 1.5621473375434112, 1.7140838521611919, 1.575554094926699, 1.7062829166359235, 1.6338022891851294, 1.6412411332782983, 1.5815608290110066, 1.6120539106674738, 1.6965270767233978, 1.6434362791536659, 1.583010619678724, 1.610520376489197, 1.746640262045099, 1.7724325952649562, 1.8077023655963151, 1.6848431512695508, 1.9026463303491283, 1.8330808108911167, 1.7381618029172436, 1.7544185975867022, 1.823360332243087, 1.6883963161645124, 1.6304600288183706, 1.7977296046342663, 1.8005314194677777, 1.7175055412379387, 1.7388638069768283, 1.907093970268584, 1.8325610041217468, 1.6679020402214881, 1.5808518592421559, 1.6202025969396332, 2.0086307182298673, 1.7962619100202588, 1.8434388071435817, 2.1178117534868806, 1.7884902973266523, 1.9820447006162674, 1.8752322779976436, 1.99480048742634, 1.9650149576944618, 1.7267966643626314, 1.8395192306997985, 1.8481091460847727, 1.9705243112258548, 1.8941886040538403, 1.9899674755069992, 2.029692056422315, 2.151381356203843, 2.0426672069978293, 1.9886439661015511, 2.02391055032625, 1.8414493058895722, 1.9643428480017695, 1.9285647900727736, 2.1441031532784796, 2.1179248812703757, 1.8666107941758163, 2.124123843375383, 2.1556278850983284, 1.9996126841598112, 2.1647936864088297, 2.108006969031337, 1.9705665009889197, 1.9658040766811606, 2.369208197535281, 2.0993553587714224, 2.166297678497729, 1.9878582465662906, 2.317365779200462, 2.2367120054008356, 2.1775299797369274, 2.339880209147526, 2.0283700001370177, 2.1175036153542983, 2.197300408112293, 2.141632224397507, 2.289387566711749, 2.2688959699572897, 2.345831205817099, 2.2506733502569873, 2.141128008619956, 2.218460622614874, 2.31508943317073, 2.232325483292256, 2.284271529751053, 2.2358203703306083, 2.339943303656008, 2.3499826245873017, 2.543896235040868, 2.149542052569227, 2.3523000199818984, 2.536349570917586, 2.4559366520333037, 2.5343084722603613, 2.2457781856301917, 2.365711347153133, 2.2291847321340112, 2.290242397273491, 2.524458092258065, 2.275029440135278, 2.368764385472806, 2.3143371733144265, 2.444316511953612, 2.2755940120026272, 2.431733024831466, 2.530193451958131, 2.411858244901273, 2.5896795938257062, 2.513593160043331, 2.4366082350887908, 2.40800146299042, 2.5883581757033047, 2.4632424842694354, 2.4904099307122234, 2.7209379510407836, 2.6215669121223097, 2.4472004270251797, 2.5436807619697155, 2.6414087940193665, 2.4848845406557962, 2.700688410625169, 2.61054424413606, 2.80284180058411, 2.5543382557776115, 2.647712250042897, 2.525757519096642, 2.596643712364253, 2.5545169635844176, 2.7246127105418934, 2.4656153892986183, 2.3545573920977856, 2.6739174058489783, 2.660115396609194, 2.5841311860635314, 2.6794740390161498, 2.481564753450052, 2.841941741217143, 2.614121335918978, 2.804774137648078, 2.593458683394052, 2.5816166601424233, 2.6303884576399432, 2.73644655958367, 2.830604252891752, 2.9056025892666852, 2.863432118329557, 2.622887102527761, 2.752243779660932, 2.7301457862760468, 2.7794776675441026, 2.8336990308272307, 2.7263447608252425, 3.008660507167031, 2.776710120305399, 2.902151019567586, 2.6892307851203743, 3.0409789646645264, 2.918226501350259, 2.829219038177257, 2.9023706903867694, 2.9179767991701935, 2.902014038633733, 2.863269831941618, 2.7726619865089908, 3.0643456787091568, 2.9332375110632456, 2.8458786277643724, 2.902974380426898, 3.055048339886181, 3.069255240113584, 2.925508829483812, 2.9069675002070205, 2.921285267160526, 3.0816529147149705, 3.115541646095711, 2.967943663115228, 3.065358514545014, 2.976938077217952, 2.8812315896182032, 3.0858617987973433, 3.0171439046721624, 3.0273351639448314, 3.1292311261312853, 2.923328778554375, 2.852294826119596, 3.1095007112911714, 3.2499643350028906, 3.185279197663514, 3.0203087045035444, 3.132324362025618, 3.1640303028966077, 3.177095012069001, 3.0688368593308426, 3.075845624161555, 2.9117375771436045, 3.174322648030881, 3.2363159876424814, 3.2650471196246134, 3.065050214507053, 3.177232840838185, 3.1824232916125412, 3.113523391880011, 3.311136299936856, 3.215012431725842, 3.17257448458574, 3.344556351112567, 3.3011087927805067, 3.1791800169789286, 3.0804454391123124, 3.185336738647239, 3.281111104205575, 3.2274403561017193, 3.168054398949019, 3.2693447050540403, 3.1306893101676083, 3.365373637332387, 3.52712550565579, 3.385683369873927, 3.463168221198754, 3.27568204892383, 3.313641128662767, 3.2377522891493475, 3.4241084073157926, 3.4769754094274012, 3.3182678135724633, 3.409815461021117, 3.24781381536963, 3.387867117992353, 3.3280770030728917, 3.433828477509584, 3.4881198804958125, 3.3414124409021992, 3.3095754327621596, 3.4436216568026734, 3.4540553143193518, 3.4562335970066513, 3.349707157149303, 3.3589822475102276, 3.5162641084618205, 3.318350025441265, 3.385232790289145, 3.6870429608778776, 3.467563184295981, 3.3854971463363595, 3.4094775764253935, 3.6673748519847744, 3.4831983632231083, 3.543111913978644, 3.5226370935754523, 3.429323649610137, 3.43082544826432, 3.6360955386089766, 3.4805250353344643, 3.8329946950652185, 3.4669704425150716, 3.5060808621062245, 3.6801869003409724, 3.6553931991537834, 3.7793012405980666, 3.7040293970087816, 3.7801781175601663, 3.8346973713652117, 3.651282969694731, 3.4995975006249456, 3.8440591324549493, 3.799783261218628, 3.7662025826557772, 3.8686032605738427, 3.7220804262573304, 3.678156928481727, 3.854911685899653, 3.780253709435633, 3.7392704830700394, 3.9219349824254, 3.911280464491102, 3.7292827558019424, 3.6473892287532235, 3.704330799791575, 3.7504195783445935, 3.768317941624064, 3.852354754183165, 4.1378546319463645, 3.942295198515491, 3.9710663610438135, 3.85390113557125, 3.8876145397229647, 3.9240109023088463, 4.001363123383311, 3.9857921584145988, 3.966956276445818, 3.840184318801565, 3.7419741145492957, 4.039684903925918, 4.001329569626375, 3.8729395491349483, 4.16790559930678, 3.8674541708425245, 3.9562926937682668, 3.9432889289075184, 3.907471752018121, 3.932211284844568, 3.9293534673564285, 3.9270590529774334, 4.063055073842546, 4.1008775883291495, 3.9598866384945652, 3.9810026701102177, 4.076930100649555, 4.071084488670953, 5.060059025134817, 5.0726334615224555, 5.119339577146719, 5.174645095213166, 5.015196729659979, 5.109828272462412, 5.033281215971219, 4.889401580213574, 5.004340054923773, 5.278879221131086, 5.208307280806503, 4.911181274602531, 5.049061922638712, 5.10737051541733, 5.134235385796212, 5.080739958762667, 5.2219334869219285, 5.301998710589038, 5.269033879128055, 5.107556264090973, 5.031488519685186, 5.235455110791247, 5.032897796162451, 5.261623056125446, 5.337423711991148, 5.253112013944183, 5.100040110353065, 5.11667256370004, 5.2280106649793145, 5.405893454542097, 5.24916299603481, 5.130113065467726, 5.237518088266609, 5.46686768109003, 5.115197405136714, 5.405112439244941, 5.24338074653235, 5.332183006855362, 5.384116233914849, 5.223599981461398, 5.422678519427366, 5.361797158403538, 5.45772125969048, 5.367587264530032, 5.526505113123614, 5.177358673431201, 5.419601625100878, 5.385197252738206, 5.257984129509588, 5.502500450197373, 5.26983096487439, 5.459095844454477, 5.356068656308975, 5.631613814666371, 5.47416248830688, 5.48453242548668, 5.59244202972513, 5.437446992882448, 5.4952414739862405, 5.320530051135617, 5.464207036333592, 5.476316313939549, 5.287062860605199, 5.530110880975433, 5.630082284701839, 5.588012519740903, 5.637851779821347, 5.586468089622819, 5.531297234189866, 5.352764453349846, 5.4551474051595505, 5.560905755483961, 5.504692287619839, 5.476697717020037, 5.848068745221954, 5.729566653508088, 5.813178010553545, 5.55101636381355, 5.6038976559410925, 5.582157681989109, 5.439688305068866, 5.68229324351176, 5.602406859444461, 5.607024179233602, 5.589942251692983, 5.67051910129633, 5.763701895408319, 5.601313842401732, 5.670541742848371, 5.688860688672876, 5.710624685804911, 5.65038251472013, 5.797513369695469, 5.754482195338128, 5.735756228628554, 5.81356627298859, 5.770504521320434, 5.710215618934752, 5.830844871649013, 5.825859425537955, 5.629151661519018, 5.932860200309514, 5.719169966146413, 5.854331571452118, 5.8249869729408825, 5.892181718692184, 5.834381025310566, 5.924999616885199, 6.037491790963144, 5.867533112367936, 5.889221962995838, 5.869053159192063, 5.981655754223276, 5.934892814899135, 5.983878672470107, 5.866108531374638, 6.0000104735955615, 5.826733813269576, 6.067625649909601, 5.962380676972864, 5.99947543618499, 6.063535735146904, 5.956731108165004, 5.971342767029108, 6.325361338810611, 6.095923549944809, 6.202257134995114, 6.055573588373563, 6.115460370606759, 6.071943693397589, 6.29565087917228, 6.195256457570138, 6.145419008126795, 6.246850032994384, 6.139576746854216, 6.087496131901243, 6.345548142294304, 6.220199453686207, 6.2939550242903515, 6.241989674004157, 6.322143042870831, 6.100461061512873, 6.228450545803903, 6.1390468792165045, 6.500647532843947, 6.362237316952085, 6.327597074769633, 6.289335024436289, 6.5001281762451075, 6.578221513154935, 6.447219883608719, 6.451707188668229, 6.469011695393902, 6.403592684815365, 6.453657817083103, 6.301158746395396, 6.395216866484472, 6.548820172306031, 6.500985436799988, 6.65980499430151, 6.43455597312343, 6.676518094548889, 6.524365110848255, 6.536101168965384, 6.550816661085285, 6.5530520042299125, 6.70482035574652, 6.6016118691291465, 6.486492662578931, 6.717769110960863, 6.737499360068947, 6.706078269880576, 6.738097511901467, 6.744825300111921, 6.833678492084426, 6.924736681269161, 6.678693593352342, 7.000043825521277, 6.966426155737366, 6.814829635527754, 6.889562340114539, 7.0065825632448, 6.9593942585625435, 6.96679457341047, 7.035825917324634, 6.790805323830626, 6.868685369327043, 6.960745184465991, 7.096724657129692, 7.186740828043339, 7.0941262623113355, 6.991947991740608, 7.053818145237293, 7.005359497046533, 7.039197668957451, 7.039822208785278, 7.185853664884893, 7.190870719986632, 7.272275404728819, 7.207528298409198, 7.163332084474019, 7.270034617558572, 7.359639145749149, 7.320053261960187, 7.410255625458771, 7.32099454740299, 7.170325394718855, 7.4167660381821365, 7.431356443137544, 7.540023898179573, 7.310861516211732, 7.432010193276545, 7.446569531699805, 7.423938407004722, 7.32423086356067, 7.451787237001699, 7.481461951275833, 7.4838302446254215, 7.5866110401648585, 7.724281895233074, 7.661178550140932, 7.524311520531491, 7.7294644648876405, 7.761370941897026, 7.728081755794613, 7.85331286794643, 7.694454375488444, 7.950364714290427, 7.78106207975611, 7.543613735022195, 8.01838221948668, 7.7018475871234955, 7.829174953807212, 7.817778128301151, 7.855258931404652, 7.904516602956209, 8.023965885901932, 7.995442839122707, 7.971251614831987, 7.949543420957156, 7.999893722701617, 8.152524020526029, 8.089714153111766, 8.013838069065718, 8.16730697630607, 8.306591038793618, 8.074554831679801, 7.9979223060407545, 8.20863228054408, 8.288449508931823, 8.409100881421441, 8.19871577892157, 8.279772333785644, 8.282916133274426, 8.42141455680395, 8.266004789865434, 8.541200502788518, 8.481393593509841, 8.326032254292139, 8.447450913728403, 8.516865843218126, 8.453817790625617, 8.480326373234323, 8.510664624377767, 8.534401925600877, 8.417295165546152, 8.74749121737887, 8.811429355555873, 8.536773005494771, 8.750116403645656, 8.731085008725378, 8.75623145773641, 8.728915238572027, 8.808078950789323, 9.098546140629796, 8.976876371617996, 8.921187048798298, 8.817274686096384, 8.937340415080168, 9.011685187756097, 8.9576942206921, 9.093073353837667, 9.086868167024683, 9.210697060306098, 9.080952709509098, 9.237095233599401, 9.276001154237123, 9.27578874819972, 9.253802201552514, 9.37426435399659, 9.278621624639142, 9.181929666012017, 9.36100952053756, 9.433359508927674, 9.379007311392293, 9.48303561803522, 9.340578534932972, 9.617224372360925, 9.646511100354749, 9.616668071641897, 9.778250580147292, 9.591861929963438, 9.795096819216921, 9.788097787066896, 9.73831356187765, 9.798613812481065, 9.840224141108427, 9.908292538975465, 9.927872130263822, 9.81156652946634, 10.064805543449506, 10.107686638036197, 10.0648977559142, 10.183811537129776, 10.03501302394798, 10.320522948446817, 10.105035847122416, 10.326595239742522, 10.281421816583132, 10.336276272369798, 10.460240920682681, 10.432894115020297, 10.3305360798949, 10.497273426291041, 10.692128323430351, 10.705271094712272, 10.656507849216943, 10.639093600213027, 10.551596960618213, 10.710730090732827, 10.698291695015556, 10.689976881946032, 10.764563317101466, 10.747241618795549, 11.094536991442059, 10.86162708611988, 11.020160689800548, 10.9801281998755, 10.89155970450352, 11.050849931943874, 11.106988860797685, 11.292159686188729, 11.170800303752673, 11.12030541297952, 11.15027072564228, 11.408932559413337, 11.283204815641463, 11.398618867023883, 11.2604235308691, 11.642282468756033, 11.421356777098504, 11.651170413997406, 11.712566133502765, 11.859512584690062, 11.588225607358558, 11.741379927019642, 12.0740750412252, 11.764043143201743, 11.860787734684878, 11.99063864369713, 12.054033501157148, 12.197267787846721, 11.997689301688053, 12.04558612673367, 12.158606871248677, 12.359151699449994, 12.176197497569897, 12.252607486611346, 12.2761840653432, 12.358598062574881, 12.37637708219725, 12.513944789075916, 12.498917342928026, 12.67582034271175, 12.622153616823198, 12.489807552807813, 12.877263046709981, 12.852271967797481, 12.939656979982388, 12.84304004426567, 13.128304501444937, 13.048754394659019, 13.100363214332251, 12.859974712255227, 13.110870646829188, 13.24500387865758, 13.26400226901618, 13.230190569998616, 13.064454420905456, 13.41148047899826, 13.479217131293273, 13.647065132448985, 13.619757718402271, 13.629797190024426, 13.67770351063313, 13.737717276672536, 13.731049114461674, 13.789759333704867, 13.909275600927144, 14.07277233271859, 14.08229866326364, 14.111430468230308, 13.972646296270787, 14.272140290665025, 14.27361981423102, 14.542428215367602, 14.360826028267159, 14.484504851156872, 14.521776083066257, 14.529118678867997, 14.594105004489338, 14.60680980416524, 14.776524814987722, 14.650427339870884, 15.12045101035518, 14.89058155006485, 14.913246976368026, 15.008800910264664, 15.187230180632438, 15.226035308650443, 15.21618633280923, 15.24194522492129, 15.24355586727678, 15.408899654995103, 15.515815384336207, 15.328387384212995, 15.707426568923038, 15.730210912402427, 15.7136844162527, 15.815007984538875, 15.793716028299933, 15.960031679800759, 15.811673919620176, 16.18519899909889, 16.13419475935323, 16.036271927616195, 16.40177848245626, 16.320096671989564, 16.382026470326466, 16.46554636406118, 16.52501196008593, 16.71136791490016, 16.709956045662235, 16.754126080325673, 16.838304170424735, 17.06726101953558, 16.951593601401754, 17.084346131287028, 17.068084865060516, 17.368142653996763, 17.253944201194198, 17.548883107710417, 17.71658170648978, 17.620402420679923, 17.560974510922406, 17.609657600739375, 17.903297302611787, 17.89219391535737, 17.942190589876372, 18.075391324759767, 18.009944983286914, 18.162863730585485, 18.170471222282956, 18.384546016766713, 18.497420274594607, 18.625350753912294, 18.533590268466725, 18.78328229537115, 18.591932388343654, 18.740683763226805, 18.99907058155573, 19.07542596610745, 19.147790905198207, 19.03474725797638, 19.387017410480656, 19.400235940171065, 19.475897012385968, 19.61948016804061, 19.59174399445805, 19.84685639825008, 19.8427469324976, 19.945208851224663, 20.076411249300573, 19.921103209082936, 20.13737834500548, 20.237468578563437, 20.300919811079034, 20.48962743540813, 20.51867083380485, 20.736499102084355, 20.77299370135148, 20.772611389069745, 20.96313097545774, 20.933902988728445, 21.014365411845162, 21.206111309026216, 21.38610955113171, 21.490906293478197, 21.594290400854028, 21.576793261253524, 21.674895994389132, 21.590641839110553, 21.793440970554027, 22.210310036111515, 22.15130115118443, 22.20269468789786, 22.437682783332892, 22.50478336120573, 22.596618733721684, 22.629807908137032, 22.76947710294547, 22.950406824681483 ]
Is time series 1 a lagged version of time series 2?
[ "No, they do not share similar pattern", "No, time series 2 is a lagged version of time series 1", "Yes" ]
No, they do not share similar pattern
multiple_choice
[ 0, 0.6334221542744929, 1.2222067536695715, 1.7249083135992846, 2.1062372223473016, 2.3395833318310553, 2.408918872387921, 2.309944612495407, 2.050397300548932, 1.6494964032688026, 1.1365697049531382, 0.5489560521670861, -0.07066477958403168, -0.6773241536458433, -1.2269803184534895, -1.6796678714129256, -2.002355719529169, -2.1713091615363513, -2.1737871769862394, -2.008953547679306, -1.6879366563539873, -1.233033686377961, -0.6761161308122556, -0.0563506342789552, 0.5826018477911555, 1.1957082819778457, 1.7397839081786013, 2.176580419286624, 2.475521130830395, 2.615887546219865, 2.58830095442063, 2.395393109720438, 2.051618032695791, 1.5822183906548632, 1.0214203725884463, 0.409986144687906, -0.2077010875394642, -0.7868109608195426, -1.285271812300499, -1.6667792606802496, -1.9033923640244643, -1.9775317007761768, -1.8832364894497229, -1.6265908492885612, -1.225288719617343, -0.7073685508829904, -0.10920825072675144, 0.5270762317661769, 1.1566426541410544, 1.7351291882532782, 2.22182677310368, 2.5825902551248032, 2.792280137749494, 2.8365603286306973, 2.7129233260485095, 2.4308695325345955, 2.01122787284109, 1.4846662994527013, 0.8894987006856797, 0.2689450412790544, -0.33195933479750483, -0.869584220880224, -1.3048245815594595, -1.605896987703819, -1.7506124770643805, -1.7279633062244828, -1.5389101238858058, -1.1963132740459241, -0.724013141636637, -0.1551253059047779, 0.4703275834030429, 1.1082778604622572, 1.713764160402842, 2.2441466455362713, 2.6621562171586977, 2.938559661147708, 3.0542501404777536, 3.0016135417200007, 2.785072966902444, 2.420772433644759, 1.9354224024458373, 1.3643896884695847, 0.7491683498952929, 0.13441241180162355, -0.4352573819250599, -0.9184444367154999, -1.2799366137261416, -1.4932242804509028, -1.5423960375512482, -1.4232765568334742, -1.143725162591924, -0.7230738045070286, -0.19074461314412305, 0.41585410214078633, 1.0540029538723898, 1.678726376933437, 2.2460088702638537, 2.715942583545536, 3.0555811622174462, 3.241295769886695, 3.2604648069280997, 3.1123764920285577, 2.8082797622865465, 2.3705798519564594, 1.8312360747000342, 1.229476385326705, 0.6089921546964732, 0.014813761866958819, -0.5099095673980126, -0.9269953992149882, -1.2059585505691037, -1.3261911112116416, -1.278436133208997, -1.0654496033241403, -0.7018033600110829, -0.2128430485991184, 0.3671243678038999, 0.9972839290208256, 1.633231391033639, 2.23014861201466, 2.7460085365494598, 3.144580586847743, 3.3980215428081495, 3.4888666348548076, 3.4112784647685523, 3.171464443100278, 2.7872328918546043, 2.286719555926257, 1.7063755915616374, 1.0883609125371665, 0.47752929813167266, -0.0817791395616636, -0.5489087555368437, -0.8897956923373513, -1.0794038160692705, -1.1035150720665892, -0.9597462303212401, -0.6577193123295455, -0.21837351198336408, 0.32753218435963705, 0.9416185996883681, 1.5806308945982273, 2.1995317584009255, 2.754722066302706, 3.207158690661113, 3.525146508930967, 3.686604949387932, 3.680646991977781, 3.508357708570113, 3.182716668527108, 2.727669758432614, 2.176416790958184, 1.5690373574425245, 0.9496247015270423, 0.36313257303142743, -0.14783945371448448, -0.5460923124060677, -0.8024875822831041, -0.8980312018895491, -0.8252317508945222, -0.5886361680625258, -0.20450459571574942, 0.3003523971566475, 0.8904910619577779, 1.5243690837091868, 2.1573163080525224, 2.744729142760002, 3.2452601993290857, 3.6237750806227007, 3.8538648721040483, 3.9197346662372405, 3.817333070034702, 3.554641923686199, 3.1511055122388933, 2.6362400878965384, 2.047523137205188, 1.4277133334610326, 0.8217928268696394, 0.2737505319418061, -0.17656355796436163, -0.49628807825689014, -0.6619002378146788, -0.6608979541975795, -0.4926938884131382, -0.16865744603772548, 0.28869825884449285, 0.8473263359704591, 1.4679378198366626, 2.10681125772381, 2.718919268729797, 3.2611484908603847, 3.6953826549664637, 3.9912283122346413, 4.128188296092543, 4.097127492381259, 3.9009260992978847, 3.5542736619224904, 3.0826186100994155, 2.5203484191305523, 1.908330531569384, 1.290989890932089, 0.7131320754273833, 0.21673921216880254, -0.1620322011742763, -0.39543687890780665, -0.46612483677505745, -0.36838210439008146, -0.10853933621956946, 0.29548089901287233, 0.8154457767723944, 1.4148311705006067, 2.0514335236076593, 2.680387862435274, 3.2573761294645878, 3.7417964060759945, 4.099666390990827, 4.306053504131479, 4.3468578370633955, 4.219820449685573, 3.93468490899782, 3.5125005181675677, 2.984117062590098, 2.3879787149583716, 1.7673748591052707, 1.1673444285919652, 0.6314551334764213, 0.19868789555176902, -0.09935071120535044, -0.24068867417346462, -0.21455977977981178, -0.02217351477769114, 0.32337142520103046, 0.7980238347398909, 1.3684999212127935, 1.9946634576840943, 2.6323959593337616, 3.2367516346003007, 3.765171497747003, 4.180526798871763, 4.4537741330393015, 4.566032359376797, 4.509932807846006, 4.290146219233465, 3.923048736422779, 3.4355508322030217, 2.863172918002092, 2.2475052484349956, 1.6332337660970686, 1.064944571023071, 0.5839355299742965, 0.22526303014116733, 0.015235066467444547, -0.030470065902855392, 0.0920750598805995, 0.3747661486714611, 0.7980467285069168, 1.332306650892166, 1.9399995382200208, 2.5783277578225787, 3.2023029178305307, 3.7679630261241677, 4.2355162505475565, 4.572186467364121, 4.754557110313666, 4.770245709590581, 4.6187893730072265, 4.311677887816025, 3.871532076050263, 3.3304861599062843, 2.7278898156228197, 2.1074942439786644, 1.5143234839503885, 0.9914547046055802, 0.5769377193532597, 0.3010740107607539, 0.18424984523465948, 0.23547843341543917, 0.45175538766128653, 0.8182735684161464, 1.309481955611503, 1.8909128242890154, 2.521646561529101, 3.1572378634879694, 3.752894057652573, 4.266678265730596, 4.6625083462172565, 4.91273715965239, 5.000129639560112, 4.919095287012096, 4.676087952058262, 4.289144313307979, 3.7865940593873897, 3.2050340083165656, 2.586711037287807, 1.9765009718086923, 1.4186994764692864, 0.9538544335198267, 0.6158663286168116, 0.4295639976690797, 0.4089290952313296, 0.5560962542512011, 0.861200436614443, 1.303082390583001, 1.8508017672524213, 2.4658496917571693, 3.1049025663369973, 3.7229201784160977, 4.276366565298155, 4.726323308646517, 5.041272624359479, 5.199351226667874, 5.189913790677075, 5.014294208790066, 4.685710202903894, 4.228318113644237, 3.6754854594802686, 3.0674047965170264, 2.448219513922381, 1.8628671018524479, 1.3538656325262515, 0.9582732559769229, 0.7050381395774754, 0.6129283594658834, 0.689189779130253, 0.9290278914216641, 1.3159506779218568, 1.8229479674949196, 2.4144229570691125, 3.048737769921624, 3.6811910163833583, 4.267214429013482, 4.765559978088348, 5.141249554008674, 5.368076282277162, 5.4304785998405345, 5.3246530759703985, 5.058826398895874, 4.65266707818793, 4.135878932568072, 3.546076944049862, 2.92609737792618, 2.3209345242578454, 1.7745231171373186, 1.3265965237201587, 1.0098453766521285, 0.847579838554235, 0.8520626720612605, 1.0236323190220329, 1.3506786982289942, 1.8104734524027029, 2.370795272748179, 2.9922340727141883, 3.6310092374890055, 4.2421004137662175, 4.782466954285534, 5.214125791876564, 5.506867641560424, 5.640417292739031, 5.6058835071034565, 5.40639483880266, 5.05687590882073, 4.582980132376356, 4.019255220934003, 3.4066726453707727, 2.789697730532114, 2.213109901257348, 1.7188004668425132, 1.3427769371518883, 1.112588094334538, 1.045353955501068, 1.1465415054405037, 1.4095737477928534, 1.8163000317673503, 2.3382940209349163, 2.938886485219143, 3.575787549366954, 4.204110878634369, 4.779583539543761, 5.261711995784765, 5.616677836142575, 5.819756158437574, 5.857083668740524, 5.726650057554372, 5.438441758791336, 5.013727811215777, 4.483538891021467, 3.8864482812432124, 3.2658134628065, 2.6666755834337916, 2.1325385260761758, 1.7022579084839435, 1.4072624842553427, 1.2693066453879145, 1.2989147468243782, 1.4946285006959328, 1.8431112597535577, 2.3201017325884874, 2.892148929638944, 3.5190042724882202, 4.15649980464171, 4.759706680432336, 5.286148065770919, 5.698836693420803, 5.9689198545813955, 6.077742681138048, 6.018182171472661, 5.795156562491965, 5.42527362223746, 4.93564301397778, 4.361937660657771, 3.7458427432160466, 3.1320747571142618, 2.565183796934405, 2.0863677404467476, 1.7305261526124034, 1.5237645874008856, 1.4815277569670688, 1.6074950668794261, 1.893317498634218, 2.319214655215318, 2.85538927445382, 3.464158057108554, 4.10264643230307, 4.72585455530254, 5.289875285469621, 5.755034024001027, 6.088725878924739, 6.267747269224618, 6.279955233059081, 6.125135781502051, 5.8150192010768365, 5.372441210785176, 4.829709960020947, 4.226295644764317, 3.6060079596083696, 3.013863228473233, 2.492865248209899, 2.080930049761112, 1.8081744898790584, 1.6947625685582817, 1.7494634838943632, 1.9690245391167598, 2.3384037457581055, 2.831845489305393, 3.4147223355491354, 4.046011268458903, 4.681227281666704, 5.275604539883697, 5.7872976226374355, 6.18037392661001, 6.427383237289944, 6.511320717637882, 6.4268429387428085, 6.180649993061506, 5.791006364991522, 5.2864348217387125, 4.703676725477731, 4.085064626652259, 3.475495026549701, 2.919217789524951, 2.456671796793256, 2.1215931269345716, 1.9386025596323524, 1.9214449223485164, 2.0720061857814, 2.3801785964641633, 2.824583490988555, 3.3741001027810493, 3.990091035132594, 4.629165254973253, 5.246281023309188, 5.79796686907286, 6.245430271751044, 6.557331748197591, 6.7120259662746475, 6.69910962134154, 6.520165385599309, 6.1886487298278485, 5.728925710991626, 5.174530534356995, 4.5657674933671615, 3.9468287746347954, 3.3626342363203126, 2.8556191500855377, 2.462699617984512, 2.212632669963893, 2.1239598236909316, 2.203681164531817, 2.4467547633712052, 2.836457229339487, 3.345579614009278, 3.938373146914004, 4.573105661152733, 5.205045896867789, 5.789662272462073, 6.285807376651642, 6.658660455560845, 6.882217475055727, 6.941150691795356, 6.83190475346232, 6.562950945092809, 6.154181400130897, 5.635486596700233, 5.044617863569172, 4.4244877498638715, 3.820101311433354, 3.2753377602425187, 2.829812623839146, 2.516044804593442, 2.3571311247644946, 2.365094652692928, 2.540024922748374, 2.870071532648848, 3.332291576013909, 3.894290309513459, 4.516537729081046, 5.155195394815406, 5.765251355868495, 6.3037389941191835, 6.732809604329292, 7.022438987906273, 7.152574509404988, 7.1145690778932416, 6.9117995079298495, 6.559425040624557, 6.083303293148523, 5.518141158086782, 4.9050128834250275, 4.288422817424703, 3.7131228640508516, 3.220912235475797, 2.8476483541367172, 2.6206826573336235, 2.5569046722081175, 2.6615342309977215, 2.9277481963020047, 3.33716838956032, 3.861175830552387, 4.462957305514184, 5.100137912007214, 5.727811324971564, 6.301751087008772, 6.781573280737096, 7.133624417775957, 7.333388028909866, 7.367237858081783, 7.233412287790877, 6.942140313889017, 6.514910061209033, 5.982932149106677, 5.384907792980894, 4.764261246769079, 4.1660344968568435, 3.6336662705369727, 3.205885694916736, 2.913942743423159, 2.779373523078997, 2.8124602087968764, 3.011495756126736, 3.3629059734861384, 3.842220224382212, 4.415821343867093, 5.0433496311819335, 5.680589006989429, 6.282628943584981, 6.807076055714326, 7.217085688348794, 7.48399670994668, 7.589381094846816, 7.5263617273784025, 7.3001041903718455, 6.927447369846991, 6.435699291658192, 5.860684300862995, 5.244181231712385, 4.63093576695117, 4.065460635206524, 3.588852467128607, 3.2358529396619233, 3.0323643685722277, 2.9935974113639277, 3.1229833399593776, 3.411928667465558, 3.8404296758805807, 4.378502899330835, 4.988329267740068, 5.626958581356445, 6.249380916816486, 6.811745325831637, 7.27449565456189, 7.60519923851053, 7.780866190512567, 7.7895934275206775, 7.631415870405302, 7.318303946732884, 6.873307575100716, 6.328907845451359, 5.724694268138334, 5.10453369367799, 4.513433356194382, 3.994322367041944, 3.584981816791231, 3.3153430166497313, 3.2053470844176277, 3.2635189378458382, 3.4863576703681947, 3.858586903968666, 4.354247216232725, 4.938552521176131, 5.570377652447185, 6.205199259667551, 6.798279711862914, 7.307866324285025, 7.698177129137705, 7.941959675152008, 8.022439874030454, 7.93452153006077, 7.685150773494513, 7.292819336743868, 6.786242194546372, 6.202304131197982, 5.583422077613038, 4.974511839778078, 4.4197761304799315, 3.959543594948163, 3.627384874430222, 3.4477119404979195, 3.434032373771205, 3.5879834251040235, 3.8992149343546414, 4.346129479320949, 4.89742682614807, 5.514342236218981, 6.1534185662595435, 6.769613926373792, 7.319522664684916, 7.764479343176255, 8.073323736723843, 8.224629127841505, 8.208234549845788, 8.02597140640302, 7.691532506263503, 7.2294928786228425, 6.673552391453861, 6.064125844697146, 5.44545287283885, 4.862434330249754, 4.357421392116465, 3.967186985144686, 3.7202961236523175, 3.6350632006023305, 3.7182423094654546, 3.9645442531338397, 4.35701477899705, 4.868246992261965, 5.462341246788011, 6.097472359942083, 6.728880567712159, 7.312072334281141, 7.8060021233930215, 8.176007600276286, 8.396288365289442, 8.451750962893186, 8.339088227756964, 8.06701578302197, 7.65564877852577, 7.135063438977655, 6.5431462870248795, 5.9228848451332965, 5.319293560544709, 4.776194783082602, 4.333084990880321, 4.022310362947847, 3.866753675835523, 3.8781979364209955, 4.056483768860443, 4.389520811693253, 4.854152310084395, 5.4178110754617235, 6.040848393438467, 6.6793693377925285, 7.2883717347402435, 7.824964307444314, 8.251433868448627, 8.53794222244689, 8.66465992152814, 8.623184286207817, 8.41714028833115, 8.061921326190031, 7.58358842925033, 7.017006611314341, 6.403351643122312, 5.787165537247386, 5.213171310115221, 4.723074800281282, 4.35258224771669, 4.1288469095953175, 4.06852730730554, 4.1765959611265675, 4.445983800987197, 4.858085681802482, 5.3840908535473035, 5.987043242997603, 6.624484214603303, 7.251488824369488, 7.823878441594883, 8.301380001098602, 8.650505965067742, 8.846949045952071, 8.877320441694735, 8.740107280588655, 8.445780808045187, 8.016047578746191, 7.48229720207804, 6.883357643919253, 6.262718605098778, 5.66542153514235, 5.1348386791221134, 4.709571490765605, 4.4206902089949605, 4.2895119981737295, 4.326076539180207, 4.52842808311401, 4.88275530859733, 5.364378981354442, 5.939516787675784, 6.567699136993065, 7.204663177427346, 7.805518070745615, 8.327955175166897, 8.735273573058498, 8.99900458541094, 9.100947591784394, 9.03447157247352, 8.804989298482244, 8.42957025957121, 7.935720010229009, 7.359413223596953, 6.742521111367686, 6.129817177094189, 5.565775424088485, 5.0913899808428145, 4.7412435753198405, 4.541034494058655, 4.505738875399485, 4.638539752832079, 4.930599433507933, 5.361691489326948, 5.901647166366593, 6.5125127786605, 7.151263809224798, 7.772881630611163, 8.333572826030988, 8.793900894600586, 9.121606389749813, 9.293913820246043, 9.299160345340741, 9.137629794634433, 8.821532371175552, 8.374131489242444, 7.828080187396394, 7.22308608135204, 6.603071837913032, 6.013034226944823, 5.49582636330651, 5.08909324341125, 4.822579718858553, 4.716003416278651, 4.777644712737924, 5.003754598787627, 5.378822773383822, 5.876686798977111, 6.462403000130529, 7.09474531607954, 7.72915341212085, 8.320919227823271, 8.82838408923525, 9.215917756817063, 9.456466374796433, 9.53348711587656, 9.442131173175083, 9.189590502612546, 8.794583519902451, 8.286016530396171, 7.700916614097905, 7.081783787034765, 6.473551788222377, 5.92037482898656, 5.462470086986789, 5.133241740934621, 4.956892208780415, 4.946691411798309, 5.104027830998387, 5.418309215644243, 5.86772004429713, 6.4207815716889645, 7.038602901119395, 7.677662106234592, 8.292918521756667, 8.841033640551771, 9.28347028789161, 9.589248448267082, 9.737160673187592, 9.717288644229619, 9.531712440596138, 9.194361790847337, 8.730019945920636, 8.172551407345196, 7.562480247344106, 6.944092197256135, 6.362267736448836, 5.859272650284188, 5.471735567122291, 5.228028613314168, 5.146238497820695, 5.232873115956044, 5.482396164144976, 5.877623045797023, 6.3909497567242095, 6.9863268714400695, 7.6218374688658885, 8.252694647739862, 8.834444276799905, 9.326143948294629, 9.693290805099128, 9.910288869974929, 9.962279436118845, 9.846203626183623, 9.571021135251822, 9.157069515263853, 8.634609819026362, 8.04166260606013, 7.421289059388391, 6.818511642962822, 6.277094506188352, 5.836413871613076, 5.528642207076633, 5.376447544610436, 5.391372469791548, 5.5730087014297816, 5.90902628810985, 6.376055333719051, 6.941357199002865, 7.565165670073887, 8.203530674882966, 8.81146119101865, 9.346142592770867, 9.769998362177112, 10.05337721843696, 10.176673506739034, 10.131729215653296, 9.922417363609368, 9.564365035987166, 9.083835878677231, 8.515851961967345, 7.901689321898085, 7.285926275098979, 6.713255584674166, 6.2252884419203145, 5.85757881392042, 5.637080948497241, 5.580221852556475, 5.69172658256471, 5.964280351660175, 6.379051616410416, 6.907038736828179, 7.511143908819468, 8.148826060354313, 8.775143000451534, 9.345965274264826, 9.82113189870111, 10.167322309180808, 10.36043914213166, 10.387331458373694, 10.246735178194582, 9.949363476787102, 9.517140675792223, 8.98163441602935, 8.381798228100934, 7.7611859316092415, 7.164837063712672, 6.6360560627310745, 6.21331553017433, 5.927505021615258, 5.799722107759573, 5.839763668852688, 6.045425311269802, 6.402659005617586, 6.8865776735090005, 7.463234884140481, 8.092052393022648, 8.728721927464912, 9.328373709613366, 9.848785133210933, 10.253400138818842, 10.513943369356491, 10.612442165428316, 10.542511805797208, 10.309812084341605, 9.931642573283014, 9.435705515760672, 8.858124814380034, 8.240862779583175, 7.628719368406906, 7.066128500670181, 6.593980550800357, 6.246698241666445, 6.049775045789074, 6.017952124992539, 6.154164177128231, 6.4493295732838325, 6.882999792949571, 7.424821715468559, 8.036708198040381, 8.675561720361388, 9.296356325708826, 9.85535746618746, 10.31324949820967, 10.637947178292912, 10.806890106670725, 10.808656041061349, 10.643777711127603, 10.324704722516287, 9.87491327475243, 9.327227357834776, 8.721471480220643, 8.10162278365978, 7.512666199616814, 6.997377537776766, 6.593264550766743, 6.329884722209314, 6.226731585414141, 6.291840723891133, 6.521215139798877, 6.899111082729725, 7.39916389896639, 7.986273390752992, 8.619113861902724, 9.25308935420118, 9.843522743086757, 10.3488506376057, 10.733595614575762, 10.970903239910802, 11.044462452511107, 10.949671982400405, 10.693969391535378, 10.296299207294698, 9.785758182882939, 9.19951456325358, 8.580150151651878, 7.972615247904569, 7.421014213464504, 6.965451530241094, 6.639163894289961, 6.466143430829693, 6.459421996542594, 6.620139260192426, 6.937461203921776, 7.3893548732726595, 7.944163972883608, 8.562872635648159, 9.201895481235523, 9.816194444469273, 10.362499486459559, 10.802402872641704, 11.105105743210613, 11.24962056631914, 11.226271974696116, 11.03738865955824, 10.697136843879836, 10.230507243492251, 9.671527959303, 9.060831098265753, 8.442747136143028, 7.862134806708365, 7.361173214756951, 6.976345571712892, 6.7358302495125155, 6.6574857207702935, 6.7475734839011094, 7.000310297933911, 7.3982817470931375, 7.913687560786475, 8.510329635083638, 9.146200590548718, 9.776487756403428, 10.356777763511701, 10.846232582954592, 11.210509888926076, 11.424218908258297, 11.472736136649756, 11.353251078150572, 11.074967226167349, 10.658443913660948, 10.134126097402444, 9.540167212687923, 8.919700788065617, 8.317755929269683, 7.778037248786758, 7.339799511081031, 7.035040490316824, 6.886212781754385, 6.904618197174791, 7.0895995625098, 7.428587712930062, 7.898000324731491, 8.4649283077722, 9.089489163072475, 9.727679014934278, 10.334519366284992, 10.86727355004486, 11.28850286528256, 11.568743851215112, 11.688615244861712, 11.64020395198187, 11.427630919312794, 11.06675644209142, 10.58404598057575, 10.014677592010726, 9.400026317220519, 8.784705415528311, 8.213376031857363, 7.727553439494467, 7.36263824686255 ]
[ -1.5965806906926412, -1.3690475590170008, -1.14151053590217, -0.9139696136716116, -0.6864247846336442, -0.45887604108141455, -0.23132337529286517, -0.0037667795307061436, 0.22379375395761558, 0.4513582329399466, 0.678926665199457, 0.906499058534671, 1.1340754207594947, 1.3616557597032508, 1.5892400832107056, 1.8168283991421008, 2.0444207153731835, 2.272017039795238, 2.499617380315114, 2.7272217448552603, 2.954830141353753, 3.1824425777643284, 3.4100590620564124, 3.637679602215151, -1.3278571751438382, -1.1002284992333082, -0.872595743406045, -0.6449588996137066, -0.4173179597920742, -0.18967291586102064, 0.03797624027551971, 0.26562951672958435, 0.4932869216292126, 0.7209484631184784, 0.9486141493575213, 1.1762839885225767, 1.4039579888060105, 1.631636158416349, 1.8593185055783115, 2.0870050385328414, 2.3146957655371394, 2.542390694864694, 2.770089834805317, 2.997793193665169, 3.2255007797668016, 3.453212601449179, 3.6809286670677164, -1.2845123963909675, -1.0567878177678953, -0.8290589700433881, -0.601325844795904, -0.37358843358728855, -0.14584672796274134, 0.08189928054921602, 0.30964960043677436, 0.5374042402048678, 0.7651632083752091, 0.9929265134863205, 1.2206941640935691, 1.4484661687691969, 1.6762425361023592, 1.9040232746991521, 2.13180839318265, 2.359597900192938, 2.587391804387144, 2.815190114439475, 3.0429928390412493, 3.2707999869009297, 3.498611566744158, 3.726427587313788, -1.2389133240153598, -1.0110883956953387, -0.7832590003167339, -0.555425129067499, -0.3275867731182045, -0.09974392362200302, 0.12810342828540455, 0.35595529148580374, 0.5838116748785012, 0.8116725873803576, 1.0395380379258259, 1.2674080354669823, 1.4952825889735633, 1.7231617074329988, 1.9510453998504491, 2.1789336752488375, 2.4068265426688877, 2.6347240111691566, 2.8626260898260734, 3.0905327877339674, 3.3184441140051133, 3.546360077769757, 3.774280688176159, -1.1909554269946603, -0.9630254957877469, -0.7350908903858784, -0.5071516015683963, -0.2792076200964526, -0.05125893671297388, 0.17669445785737414, 0.4046525729082231, 0.6326154177515382, 0.8605830017176537, 1.0885553341553096, 1.3165324244316883, 1.5445142819324498, 1.7725009160617697, 2.0004923362423748, 2.2284885519155804, 2.4564895725413245, 2.6844954075982077, 2.9125060665835307, 3.140521559013325, 3.368541894422399, 3.5965670823643654, 3.8245971324116868, -1.1405293272295751, -0.9124895241785909, -0.6844448301914194, -0.45639523561984263, -0.22834073079660944, -0.0002813060353983321, 0.22778304836922025, 0.45585234214182035, 0.6839265850261613, 0.9120057867852225, 1.1400899572012424, 1.3681791060757575, 1.5962732432296387, 1.8243723785031305, 2.0524765217558896, 2.280585682867021, 2.5086998717351197, 2.736819098278306, 2.964943372434268, 3.1930727041602927, 3.421207103433315, 3.649346580249947, 3.877491144626524, -1.0875205747861447, -0.859365805161604, -0.631205917809408, -0.40304090263395365, -0.17487074951972104, 0.05330455166876269, 0.28148501108696533, 0.5096706389103889, 0.7378614453346057, 0.9660574405753035, 1.1942586348683208, 1.422465038469688, 1.6506766616556678, 1.8788935147227945, 2.1071156079879136, 2.335342951788223, 2.5635755564813127, 2.7918134324452044, 3.020056590078391, 3.24830503979988, 3.476558792049233, 3.704817857286603, 3.9330822459927783, -1.031809412716059, -0.8035343455471649, -0.575253923342885, -0.34696813553948513, -0.11867697155239232, 0.1096195792238468, 0.337921527415606, 0.5662288836702221, 0.7945416586560348, 1.0228598630624293, 1.2511835075998783, 1.4795126029999819, 1.707847160015509, 1.936187189420443, 2.164532702010019, 2.3928837086007673, 2.6212402200305567, 2.8496022471586357, 3.077969800865673, 3.306342892053802, 3.534721531646664, 3.7631057305894466, 3.9914954998489316, -0.9732705309717513, -0.744869588091946, -0.5164630418651253, -0.28805088123771694, -0.05963309513434378, 0.1687903275422189, 0.3972193979110876, 0.6256541271133134, 0.8540945263119244, 1.0825406066919696, 1.3109923794605636, 1.5394498558469278, 1.767913047102436, 1.9963819645006555, 2.2248566193373955, 2.4533370229307465, 2.681823186621126, 2.9103151217713217, 3.1388128397665387, 3.367316352014438, 3.595825669945188, 3.8243408050115004, 4.052861768688686, -0.9117728089105974, -0.6832401534951575, -0.45470163490692483, -0.22615724157977657, 0.002393038075227061, 0.2309492156698869, 0.4595113028389095, 0.6880793112399537, 0.9166532525536741, 1.1452331384837686, 1.3738189807570218, 1.6024107911233518, 1.8310085813558554, 2.059612363250853, 2.288222148627937, 2.5168379493300144, 2.7454597772233553, 2.9740876441976383, 3.202721562165995, 3.431361543065061, 3.660007598855013, 3.8886597415196267, 4.117317983066317, -0.8471790458590984, -0.6185085704312214, -0.3898319599567197, -0.16114920233315155, 0.06753971456579833, 0.29623480289036763, 0.5249360748147609, 0.7536435425371995, 0.9823572182799676, 1.2110771142894599, 1.4398032428362295, 1.6685356162150349, 1.8972742467448886, 2.126019146769104, 2.354770328655343, 2.5835278047956676, 2.812291587606583, 3.041061689529088, 3.2698381230287246, 3.4986209005956255, 3.727410034744561, 3.956205538014988, 4.185007422971104, -0.7793456791833959, -0.5505309930641322, -0.3217098874176909, -0.09288234958044383, 0.13595163313622005, 0.36479207344593956, 0.5936389840874361, 0.8224923778245585, 1.0513522674463354, 1.2802186657670234, 1.5090915856261584, 1.7379710398886035, 1.9668570414446, 2.1957496032098196, 2.4246487381254083, 2.653554459158044, 2.882466779299983, 3.1113857115691106, 3.3403112690089927, 3.569243464688924, 3.7981823117039832, 4.027127823175082, 4.256080012249011, -0.708122489286785, -0.4791569054630265, -0.2501846044402467, -0.021205572967607944, 0.20778020223186733, 0.4367727344613481, 0.6657720370502453, 0.8947781233542651, 1.12379100675546, 1.3528107006622803, 1.5818372185096277, 1.810870573758906, 2.039910779898074, 2.268957850441698, 2.498011798931006, 2.727072638933933, 2.9561403840451836, 3.185215047886281, 3.414296644105617, 3.6433851863785067, 3.8724806884072427, 4.101583163921151, 4.330692626676636, -0.633352290928042, -0.4042288123115816, -0.1750983050212893, 0.05403924480811195, 0.28318385106924926, 0.5123355276821557, 0.7414942885943243, 0.9706601477807613, 1.199833119244042, 1.429013217014363, 1.6582004551495992, 1.8873948477353562, 2.1165964088850258, 2.345805152739842, 2.575021093468933, 2.804244245269381, 3.0334746223662705, 3.26271223901275, 3.4919571094900856, 3.721209248107712, 3.950468669203296, 4.179735387142786, 4.409009416320469, -0.5548706102262537, -0.3255819152756836, -0.0962858657334622, 0.1330175529086166, 0.36232835518737794, 0.5916465556683226, 0.8209721689456859, 1.0503052096424914, 1.27964569241061, 1.508993631930816, 1.738349042912843, 1.967711940095443, 2.197082338246443, 2.426460252162801, 2.6558456966706654, 2.8852386866254323, 3.114639236911801, 3.344047362443834, 3.5734630781650156, 3.8028863990483073, 4.032317340096209, 4.261755916340812, 4.491202142843866, -0.47250534668845257, -0.24304377436435076, -0.01357450641805058, 0.21590247233139426, 0.4453871770948772, 0.6748796231132994, 0.9043798256576259, 1.1338878000289463, 1.363403561558535, 1.5929271256079103, 1.8224585075688924, 2.0519977228636654, 2.2815447869448366, 2.5110997152954955, 2.7406625234292754, 2.9702332268904117, 3.199811841253806, 3.4293983821250813, 3.6589928651406463, 3.888595305967755, 4.118205720304569, 4.347824123880217, 4.577450532454856, -0.3860764195655513, -0.15643395358804302, 0.07321656485570838, 0.30287515165058676, 0.5325418227128111, 0.7622165939899983, 0.9918994814612241, 1.2215905011370878, 1.451289669059769, 1.6809970013030955, 1.9107125139726038, 2.1404362232056, 2.370168145171225, 2.599908296070515, 2.8296566921364663, 3.059413349634098, 3.2891782848605122, 3.5189515141449657, 3.7487330538489205, 3.978522920366118, 4.20832113012264, 4.43812769957697, 4.667942645220059, -0.29539539780989443, -0.06556365018624577, 0.16427652329445852, 0.39412513925368153, 0.6239822143456724, 0.8538477652575354, 1.0837218087092924, 1.3136043614539485, 1.5434954402775567, 1.7733950619992838, 2.0033032434714753, 2.2332200015797206, 2.463145353242919, 2.6930793154133457, 2.9230219050767157, 3.1529731392522535, 3.3829330349927553, 3.612901609384657, 3.842878879548102, 4.072864862637003, 4.302859575839117, 4.532863036376098, 4.762875261503584, -0.20026511287403803, 0.02976469333757592, 0.25980331611109664, 0.4898507728387185, 0.719907080946945, 0.949972257896657, 1.1800463211831793, 1.4101292883363492, 1.6402211769205859, 1.8703220045349567, 2.1004317888132444, 2.3305505474240205, 2.560678298070709, 2.790815058491657, 3.0209608464602042, 3.2511156797847507, 3.4812795763088276, 3.7114525539111636, 3.941634630505759, 4.171825824041951, 4.402026152504485, 4.632235633913583, 4.862454286325018, -0.10047925355510179, 0.1297577951708644, 0.36000406928047246, 0.5902595869723883, 0.8205243664811774, 1.050798426077378, 1.2810817840675683, 1.5113744587944404, 1.74167646863687, 1.971987832009988, 2.2023085673652543, 2.432638693190525, 2.6629782280101275, 2.893327190384932, 3.1236855989124237, 3.3540534722267736, 3.5844308289989124, 3.8148176879366025, 4.045214067784509, 4.275619987324278, 4.506035465374601, 4.736460520791294, 4.966895172467373, 0.00417805794783499, 0.23463195897087363, 0.4650955131562484, 0.6955687395464938, 0.9260516572217068, 1.1565442852996262, 1.387046642935701, 1.6175587493231693, 1.8480806236931315, 2.0786122853146227, 2.3091537534946927, 2.539705047578474, 2.770266186949264, 3.0008371910285945, 3.2314180792763114, 3.4620088711906476, 3.6926095863082997, 3.9232202442045048, 4.153840864493114, 4.384471466826671, 4.615112070896489, 4.845762696432722, 5.076423363204448, 0.1139327096344589, 0.3446135183404717, 0.5753044278235047, 0.8060054580090892, 1.0367166288620637, 1.2674379603866484, 1.4981694726265284, 1.728911185664927, 1.959663119624684, 2.1904252946683376, 2.421197730998197, 2.6519804488564267, 2.8827734685251203, 3.113576810326384, 3.3443904946224086, 3.575214541815557, 3.806048972348438, 4.0368938067039855, 4.267749065405541, 4.498614769016934, 4.729490938142552, 4.960377593427438, 5.191274755557355, 0.22902106387359078, 0.45993930191416776, 0.6908681091022286, 0.9218075062872464, 1.152757514359823, 1.3837181542517711, 1.6146894469361948, 1.8456714134275711, 2.0766640747818332, 2.3076674520964477, 2.538681566510502, 2.7697064392047843, 3.0007420914018637, 3.231788544366176, 3.4628458194041047, 3.6939139378640613, 3.9249929211365755, 4.156082790654369, 4.387183567892446, 4.618295274368173, 4.849417931641363, 5.08055156131436, 5.311696185032122, 0.34969044309702113, 0.5808571200100636, 0.8120348561592725, 1.0432236733609055, 1.2744235934742572, 1.5056346384017418, 1.7368568300889822, 1.9680901905248913, 2.1993347417417586, 2.4305905058153376, 2.661857504864929, 2.893135761053466, 3.124425296587607, 3.355726133717812, 3.5870382947384365, 3.818361801987814, 4.0496966778483445, 4.281042944746582, 4.512400625153319, 4.74376974158368, 4.9751503165971975, 5.206542372797912, 5.437945932834454, 0.47619963801484655, 0.7076262738477297, 0.9390644817307492, 1.170514284491778, 1.4019757050037192, 1.6334487661845982, 1.8649334909976492, 2.0964299024514057, 2.32793802359979, 2.5594578775422017, 2.7909894874236083, 3.0225328764346338, 3.2540880678116504, 3.4856550848368686, 3.717233950838427, 3.9488246891904817, 4.1804273233133, 4.412041876673348, 4.643668372783386, 4.8753068352025535, 5.106957287536468, 5.338619753437312, 5.570294256603926, 0.6088194393966191, 0.8405180883783863, 1.0722288460033145, 1.3039517361577966, 1.53568678277535, 1.767434009836701, 1.9991934413698833, 2.230965101450331, 2.4627490142009707, 2.694545203792314, 2.926353694442555, 3.158174510417663, 3.3900076760314737, 3.6218532156457863, 3.853711153670461, 4.085581514563508, 4.317464322831183, 4.549359603028092, 4.781267379757271, 5.0131876776702935, 5.245120521467362, 5.477065935897405, 5.709023945758172, 0.7478331945110503, 0.9798164698222833, 1.2118124152513832, 1.4438210557923497, 1.6758424164884898, 1.90787652243251, 2.1399233987666197, 2.371983070682623, 2.604055563422021, 2.8361409022761057, 3.0682391125860637, 3.300350219743069, 3.532474249188386, 3.764611226413464, 3.9967611769600397, 4.228924126420237, 4.461100100436662, 4.693289124702508, 4.925491224961649, 5.157706427008748, 5.389934756689346, 5.622176239899977, 5.854430902588252, 0.893537389367693, 1.1258184890589509, 1.3581128463782206, 1.5904204874784686, 1.8227414385642517, 2.055075725891821, 2.2874233757692215, 2.519784414556397, 2.7521588686652887, 2.984546764559941, 3.2169481287566035, 3.4493629878238337, 3.6817913683825996, 3.914233297106384, 4.146688800721286, 4.379157906006131, 4.611640639792567, 4.844137028965171, 5.076647100461558, 5.309170881272478, 5.541708398441929, 5.774259679067255, 6.0068247502992556, 1.0462422579570072, 1.2788349920690996, 1.5114415985620449, 1.744062104801516, 1.976696538207169, 2.2093449262527503, 2.442007296466203, 2.674683676429773, 2.9073740937801182, 3.1400785762084142, 3.37279715146046, 3.6055298473367925, 3.8382766916927875, 4.071037712438769, 4.303812937540121, 4.536602395017392, 4.76940611294641, 5.002224119458382, 5.235056442740012, 5.467903111033609, 5.700764152637189, 5.933639595904594, 6.166529469245601, 1.2062724197407455, 1.4391912386825636, 1.6721245732640089, 1.9050724521196942, 2.1380349039407176, 2.371011957474776, 2.604003641526276, 2.837009984956446, 3.0700310166834486, 3.303066765682491, 3.5361172609859413, 3.7691825316834358, 4.002262606921999, 4.235357515906149, 4.468467287898019, 4.701591952217463, 4.934731538242174, 5.167886075407801, 5.401055593208056, 5.634240121194837, 5.867439688978333, 6.100654326227145, 6.333884062668405, 1.3739675467025991, 1.6072275709448225, 1.8405027839131929, 2.0737932155701033, 2.3070988959370515, 2.540419855094757, 2.77375612318328, 3.0071077304021365, 3.240474707010415, 3.4738570833268985, 3.707254889730177, 3.9406681566587674, 4.174096914611232, 4.4075411941462965, 4.6410010258829715, 4.874476440500664, 5.107967468739307, 5.34147414139947, 5.574996489342481, 5.808534543490551, 6.042088334826887, 6.275657894395817, 6.509243253302911, 1.549683061329814, 1.7833001124755046, 2.0169330566447146, 2.250581925189183, 2.484246749522498, 2.717927561120215, 2.9516243915199807, 3.185337272321654, 3.419066235187433, 3.652811311841971, 3.8865725340725072, 4.120349933728985, 4.3541435427241755, 4.587953393033809, 4.821779516696687, 5.055621945814816, 5.28948071255353, 5.523355849141613, 5.757247387871426, 5.991155361099036, 6.225079801244331, 6.459020740791161, 6.692978212287448, 1.7337908669600415, 1.9677815002559744, 2.201788763530887, 2.435812689590293, 2.6698533113044194, 2.9039106616083337, 3.137984773502077, 3.3720756800507847, 3.606183414384823, 3.840308009699911, 4.074449499257252, 4.308607916383664, 4.542783294471707, 4.776975666979812, 5.011185067432418, 5.245411529420092, 5.479655086599664, 5.71391577269436, 5.94819362149393, 6.182488666854782, 6.4168009427001085, 6.651130483020023, 6.885477321871691, 1.9266801119941777, 2.1610616503497124, 2.395460589812126, 2.629876964708116, 2.864310809432091, 3.0987621584463114, 3.3332310462810213, 3.5677175075345784, 3.8022215768735945, 4.0367432890330655, 4.27128267881651, 4.5058397810961015, 4.740414630812802, 4.975007262976508, 5.20961771266617, 5.444246015029947, 5.678892205285324, 5.913556318719268, 6.1482383906883475, 6.382938456618885, 6.617656552007084, 6.852392712419169, 7.087146973491528, 2.128757989545565, 2.3635485591289664, 2.598357336704151, 2.8331843581895346, 3.0680296595743863, 3.3028932769189745, 3.537775246354701, 3.7726756040842404, 4.007594386381686, 4.242531629592687, 4.477487370134593, 4.712461644496589, 4.9474544892398455, 5.182465940997652, 5.417496036475568, 5.652544812451557, 5.887612305776136, 6.122698553372516, 6.357803592236742, 6.5929274594378455, 6.828070192117978, 7.063231827492565, 7.298412402850442, 2.340450574168722, 2.5756691416540716, 2.8109067614311547, 3.0461634710839163, 3.281439308270439, 3.516734310723096, 3.752048516248692, 3.987381962728613, 4.222734688118971, 4.458106730450753, 4.693498127829974, 4.928908918437813, 5.164339140530769, 5.399788832440814, 5.635258032575529, 5.8707467794182655, 6.10625511152829, 6.3417830675409315, 6.577330686167734, 6.812898006196608, 7.048485066491981, 7.284091905994946, 7.519718563723412, 2.5622036973869795, 2.7978701089282123, 3.0335564562111053, 3.2692627785623602, 3.5049891153862562, 3.7407355061648055, 3.976501990457905, 4.212288607903491, 4.448095398217692, 4.683922401194984, 4.9197696567083415, 5.1556372047094, 5.391525085228604, 5.627433338375365, 5.863362004338217, 6.0993111233849735, 6.3352807358628835, 6.571270882198787, 6.807281602899275, 7.043312938550843, 7.279364929820048, 7.5154376174536734, 7.75153104227888, 2.7944838638180878, 3.030618885830256, 3.266774767999359, 3.5029515514756655, 3.7391492774906245, 3.975367987357016, 4.211607722469123, 4.447868524302878, 4.68415043441604, 4.920453494448342, 5.156777746121661, 5.3931232312401765, 5.629489991690538, 5.865878069442017, 6.102287506546683, 6.338718345139556, 6.575170627438777, 6.811644395745768, 7.048139692445399, 7.284656560006152, 7.521195040980283, 7.757755178003992, 7.994337013797587, 3.0377792097803638, 3.2744045716119072, 3.5110517608805596, 3.74772082064472, 3.984411794047726, 4.221124724318023, 4.457859654769335, 4.694616628800825, 4.931395689897272, 5.168196881629235, 5.405020247653224, 5.641865831711867, 5.878733677634084, 6.115623829335258, 6.352536330817393, 6.589471226169305, 6.8264285595667795, 7.0634083752727435, 7.300410717637442, 7.537435631098609, 7.774483160181642, 8.011553349499769, 8.248646243754223, 3.2926005063491437, 3.5297389449328653, 3.7669002230864086, 4.0040843858647746, 4.241291478411853, 4.478521545960578, 4.71577463383312, 4.95305078744105, 5.1903500522855275, 5.427672473957465, 5.665018098137711, 5.9023869705972345, 6.139779137197288, 6.377194643889597, 6.614633536716532, 6.852095861811295, 7.089581665398088, 7.327090993792302, 7.56462389340069, 7.802180410721556, 8.039760592344924, 8.277364484952727, 8.514992135318987, 3.5594822089247127, 3.7971575154992125, 4.03485672070858, 4.272579871697011, 4.5103270157017, 4.748098200053022, 4.985893472174726, 5.223712879584106, 5.461556469892198, 5.699424290803952, 5.937316390118433, 6.1752328157289895, 6.413173615623452, 6.651138837884316, 6.889128530688927, 7.127142742309667, 7.365181521114147, 7.603244915565389, 7.841332974222016, 8.079445745738445, 8.317583278865069, 8.555745622448452, 8.793932825431511, 3.8389835554684377, 4.077220624466002, 4.315482700272058, 4.553769832216869, 4.792082069728001, 5.030419462330532, 5.268782059647235, 5.507169911398769, 5.745583067403882, 5.984021577579593, 6.2224854919413914, 6.460974860603432, 6.699489733778732, 6.938030161779354, 7.176596195016616, 7.415187884001282, 7.653805279343754, 7.892448431754271, 8.13111739204311, 8.369812211120777, 8.608532939998215, 8.847279629786982, 9.086052331699472, 4.1316897156638195, 4.370514595865233, 4.6093656424344935, 4.8482429069892925, 5.0871464412491445, 5.326076297035589, 5.565032526272396, 5.804015180985759, 6.0430243133045085, 6.282059975460301, 6.521122219787835, 6.760211098725046, 6.99932666481331, 7.238468970697654, 7.477638069126954, 7.716834012954145, 7.956056855136418, 8.195306648735436, 8.434583446917536, 8.67388730295393, 8.91321827022092, 9.152576402200104, 9.391961752478576, 9.631374374749146, 4.677652941425255, 4.9171202691823215, 5.156615030646251, 5.396137279934781, 5.635687071272402, 5.875264458990575, 6.114869497527938, 6.354502241430518, 6.594162745351944, 6.8338510640536585, 7.07356725240513, 7.3133113653840685, 7.553083458076635, 7.792883585677657, 8.032711803490846, 8.272568166929009, 8.51245273151426, 8.752365552878246, 8.992306686762355, 9.23227618901793, 9.472274115606503, 9.712300522599982, 9.9523554661809, 4.9992776212573355, 5.239389807004255, 5.479530698552055, 5.719700352527895, 5.959898825670644, 6.200126174831098, 6.440382456972198, 6.680667729169261, 6.9209820486101865, 7.161325472595694 ]
97
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Focus on the time delay between the two time series. If time series 1 is a lagged version, then it should look the same to time series 2 after being shifted by a certain number of steps. Can you check this?
Causality Analysis
Granger Causality
432
null
Does the given two time series have similar pattern?
[ "No, they have different seasonable pattern", "Yes, they have similar seasonal pattern" ]
Yes, they have similar seasonal pattern
binary
[ 0, 0.20949754433403645, 0.41076036735026267, 0.5958774299744837, 0.7575723346397121, 0.889489338691967, 0.9864431796075086, 1.0446228921400915, 1.0617416059563227, 1.037126435662514, 0.9717449299151628, 0.8681670399797111, 0.7304641026396835, 0.5640488081356445, 0.3754624435152223, 0.17211777422120386, -0.0379923295272328, -0.24660906853544876, -0.44553234330622127, -0.626943075403234, -0.7837105520172863, -0.9096727129403847, -0.999878362705831, -1.050781787260167, -1.0603821253681944, -1.028302016478372, -0.9558024336364338, -0.8457331184097996, -0.7024205660775164, -0.5314979640526029, -0.3396837681482967, -0.13451762019234811, 0.07593601272262715, 0.28340482829883834, 0.47973384847276207, 0.6572059671901469, 0.8088452867431476, 0.9286913194262364, 1.0120332764646434, 1.0555952350189217, 1.057664904904988, 1.018160933595367, 0.9386361039435059, 0.822216298938209, 0.6734776326009528, 0.4982665766427229, 0.30347015316300424, 0.09674522642795991, -0.11378246554232777, -0.31983770941031, -0.5133210903846573, -0.6866273559693739, -0.8329443556724003, -0.9465208062486596, -1.0228923574274391, -1.0590570721570898, -1.0535934237639515, -1.0067161719104307, -0.9202679210355696, -0.7976466930905557, -0.6436723614681038, -0.46439719620812114, -0.2668679673804586, -0.058848957648610395, 0.15148322843869358, 0.35586106229489817, 0.5462510630947628, 0.71516956985663, 0.8559769017526123, 0.9631383440854383, 1.0324417013545324, 1.0611628660515529, 1.0481728951716787, 0.9939823855835387, 0.9007214039948205, 0.7720557604065439, 0.6130429160958542, 0.4299331899531821, 0.22992407715757474, 0.02087733718754843, -0.18899002840911194, -0.39142876174785596, -0.5784816022399054, -0.7427960626852178, -0.8779134335339701, -0.9785226554242434, -1.0406690810263945, -1.0619099203909803, -1.0414102597089643, -0.9799758792741553, -0.8800215806720406, -0.745476268158381, -0.5816285151944566, -0.3949186864561166, -0.1926857863782038, 0.01712101513979913, 0.2262548408059732, 0.4264952659945168, 0.6099714390292007, 0.7694714608006493, 0.8987258629308549, 0.9926540418068922, 1.0475639618996944, 1.0612972786282548, 1.0333141764239067, 0.9647145872643409, 0.8581949556403081, 0.7179422493947425, 0.5494693825509152, 0.3593985191656028, 0.15520077588405493, -0.055097445289847585, -0.2632299508286219, -0.46101567500313156, -0.640680253085635, -0.7951616083539799, -0.9183875411865513, -1.005514409051746, -1.0531175155959898, -1.0593257252052588, -1.0238950117446535, -0.9482180504952452, -0.8352694762578795, -0.6894889593639929, -0.5166066955254428, -0.32341816899493553, -0.11751704242294952, 0.09300332728871989, 0.29986801461859214, 0.49494578797599026, 0.6705687240733061, 0.819833611035792, 0.9368732929949674, 1.0170872904219572, 1.0573226312058064, 1.0559977845484552, 1.0131648262059552, 0.9305073915463921, 0.8112744968836818, 0.6601528303724964, 0.48308253232693177, 0.28702370608711064, 0.07968283719258122, -0.13079012549415786, -0.33612211987986634, -0.5282421599452461, -0.6995985820441478, -0.8434558781949064, -0.9541594487357362, -1.027357867709891, -1.0601739243936237, -1.0513177178365491, -1.0011373590065658, -0.9116052875898076, -0.786240741291269, -0.6299714251357678, -0.44893981813496053, -0.2502617308254616, -0.04174660405847573, 0.1684094567417911, 0.37194584594657015, 0.5608621574009218, 0.727732656439743, 0.8659981632878377, 0.9702238747813889, 1.0363129902107282, 1.0616677442921139, 1.045291517544366, 0.9878280104172144, 0.8915359413535942, 0.7602002633293248, 0.5989833886822318, 0.41422227013732055, 0.2131793141653593, 0.003756917525238664, -0.20581315229613206, -0.40729332322113243, -0.5927640128799387, -0.7549349236854407, -0.8874316026072467, -0.9850460018378138, -1.0439411915609673, -1.0618021781768034, -1.037926899769941, -0.9732538220617367, -0.8703250501321532, -0.7331864058791057, -0.5672283988711556, -0.37897434155341514, -0.17582393736337648, 0.034237579459454874, 0.24295331952704444, 0.44211929190690086, 0.6239068784462181, 0.781170553315829, 0.907728752239718, 0.9986068512816797, 1.0502327044202264, 1.0605770539151742, 1.0292332943546254, 0.9574334550965125, 0.847999772882715, 0.7052337581613803, 0.534747115588139, 0.34324116471528027, 0.13824343118111418, -0.07218823778848443, -0.2797824032326759, -0.4763791599598856, -0.6542508779934184, -0.8064059525725679, -0.926863623205677, -1.010889059461164, -1.0551794729776083, -1.0579939401870653, -1.0192218328088924, -0.9403871663162976, -0.8245886954503518, -0.6763781114475447, -0.5015811286831409, -0.30706849327896174, -0.10048591464146113, 0.1100464644868742, 0.3162532465303275, 0.5100290601855494, 0.6837571583032688, 0.8306088094173595, 0.9448117147362953, 1.0218768999287833, 1.058775163266551, 1.0540561444760959, 1.0079053340592588, 0.9221367822168792, 0.8001217939659112, 0.6466564132315397, 0.4677729047178481, 0.27050264364044313, 0.06259973341581575, -0.14776378493139697, -0.352319151237284, -0.5430259064074765, -0.7123879387942498, -0.853748133905129, -0.9615500456449216, -1.0315563035779602, -1.0610151712750047, -1.048768708834683, -0.9952982880346242, -0.9027056710479118, -0.7746303964638637, -0.6161067199213999, -0.4333657325903442, -0.23359043563091292, -0.02463339792106064, 0.1852919049187579, 0.3879339376643895, 0.5753274486359805, 0.7401065598967501, 0.8757942978643073, 0.97705718375274, 1.0399148766574295, 1.0618966288405196, 1.0421384034280659, 0.9814168371129857, 0.8821187128915958, 0.7481471427690676, 0.5847681481108262, 0.39840366810701267, 0.19637913256753592, -0.013364478794361949, -0.2225827725026441, -0.42305200374562196, -0.6068923271660319, -0.7668775299929456, -0.8967190728334938, -0.9913132733310965, -1.0469419166405325, -1.0614184073227164, -1.0341737178656232, -0.9662787554523555, -0.8604022678056268, -0.7207059427039378, -0.5526808244933666, -0.36293147757229577, -0.1589163807362579, 0.05134524329586972, 0.2595886395206944, 0.4576283834281796, 0.6376801255353007, 0.7926665708611121, 0.9164956662058711, 1.0043000605252477, 1.0526284259289846, 1.0595811190484237, 1.0248848503305563, 0.9499034262322484, 0.8375841420710836, 0.6923419326694482, 0.5198858344831414, 0.32699458046885743, 0.12125014838436489, -0.08926026405975822, -0.2962621227324145, -0.4916188042480872, -0.6676514222743829, -0.817440661566364, -0.9350987555351581, -1.016000916727076, -1.0569671233736384, -1.0563871165276395, -1.01428369452189, -0.9323118168350142, -0.8136935525886031, -0.6630914306556247, -0.48642516960809884, -0.2906389913012819, -0.08342866430068377, 0.12706099374228405, 0.3325562644898811, 0.5249797440178243, 0.6967678413830508, 0.8411680807414458, 0.9525045209590758, 1.0264008598667576, 1.0599524535974392, 1.0518404894413196, 1.002383824425473, 0.9135264519986379, 0.7887610894682965, 0.6329918897390342, 0.4523416737429717, 0.25391126067800474, 0.04550035606224599, -0.16469903134083413, -0.36842459286347146, -0.5576684865531722, -0.7249921014678351, -0.863818447203598, -0.9686906756989245, -1.0354865735961958, -1.0615805941086764, -1.0459470594048461, -0.9892004769334981, -0.8935713849755229, -0.7628186768614222, -0.6020818501269958, -0.4176789882508891, -0.21685841570669553, -0.007513788026470956, 0.20212618416788086, 0.40382118114570187, 0.5896431763681343, 0.7522880634780352, 0.885362758855391, 0.9836364945961077, 1.0432464243395982, 1.0618494601953945, 1.0387143725138832, 0.9747505323348368, 0.8724721667341183, 0.7358995320838875, 0.5704008898096686, 0.3824814961039707, 0.1795278997795838, -0.030482400852021377, -0.2392945295579741, -0.4387007066569503, -0.6208628722677365, -0.7786207769791538, -0.9057734298196829, -0.9973228406491677, -1.049670476189405, -1.0607587075947116, -1.0301516896821774, -0.9590524927010469, -0.8502558132427512, -0.7080381230840064, -0.5379895738833834, -0.3467942650541312, -0.14196751182581602, 0.06843955929973713, 0.2761564762292507, 0.47301850877773133, 0.6512875997701049, 0.8039565249042155, 0.9250243257613456, 1.0097321895172693, 1.0547505036284621, 1.058309732933619, 1.0202699747836357, 0.9421264581959107, 0.8269507708777709, 0.6792701243088092, 0.5048894026101916, 0.31066298992733354, 0.10422534510834433, -0.10630908601878551, -0.31266482522043887, -0.5067306461332934, -0.6808784022909301, -0.8282628667259602, -0.9430907973502473, -1.0208486519588131, -1.058480002062196, -1.0545056719407124, -1.0090818806139161, -0.9239941013386044, -0.8025868800000928, -0.6496323710256295, -0.4711427582797475, -0.27413393411461634, -0.06634972564431453, 0.1440424919171244, 0.3487728303256213, 0.5397939528571922, 0.7095973910242857, 0.8515086799945663, 0.959949711822961, 1.0306579941764025, 1.0608541961472537, 1.0493513954311169, 0.9966017326894689, 0.9046786392537549, 0.7771953367468033, 0.6191628121572798, 0.4367928509420928, 0.23725387033548803, 0.028389150327042232, -0.1815914621952254, -0.3844342579491928, -0.5721660938620932, -0.7374077934565484, -0.8736642001875312, -0.9755794826024364, -1.0391476560421795, -1.0618700459059642, -1.0428535030697865, -0.9828455109047798, -0.8842048039435659, -0.7508086530868805, -0.5879004616913474, -0.40188366308026274, -0.2000700207488055, 0.009607775170475943, 0.21890791820956995, 0.41960344630460206, 0.6038056190464962, 0.7642740004507329, 0.8947010588210207, 0.9899600969380712, 1.046306767180112, 1.0615262506188126, 1.0350203149211037, 0.9678308290713344, 0.8625988106204202, 0.7234606151920329, 0.5558853487256471, 0.366459893294202, 0.16262999648840906, -0.04759239863166619, -0.2559440790336915, -0.454235363880791, -0.6346720163686411, -0.7901616118414455, -0.9145923197734637, -1.003073141530504, -1.0521261608847006, -1.0598232504899103, -1.0258618607956924, -0.9515769123644197, -0.8398883241401719, -0.6951862401760817, -0.5231584662139432, -0.33056689906739084, -0.1249817367006178, 0.08551608359168511, 0.29265252263816116, 0.48828566710168586, 0.6647257637190165, 0.8150374804816188, 0.9333125137753344, 1.014901826108473, 1.0565983858582504, 1.0567632260833428, 1.0153898674079704, 0.9341045727067483, 0.8161024235794461, 0.6660217312581045, 0.48976171847766015, 0.2942506386901263, 0.08717344716172908, -0.12333027161295027, -0.32898624661088494, -0.5217107571048373, -0.6939283795256056, -0.8388697546849665, -0.9508376710206001, -1.025431004927502, -1.0597177157517135, -1.05235009553113, -1.0036177433609814, -0.9154361821203382, -0.7912715650020553, -0.6360044314069687, -0.45573786755039547, -0.25755761241320196, -0.0492535385541933, 0.1609865444604315, 0.3648987283401998, 0.5544678355664323, 0.7222424720264898, 0.8616279190097295, 0.9671453518582774, 1.034647196162878, 1.0614801564968395, 1.0465895095163393, 0.990560561977682, 0.895595644080844, 0.7654275424622434, 0.6051727755264338, 0.42113047842447204, 0.22053480290802266, 0.011270564480271543, -0.19843668609773876, -0.4003439845835364, -0.5865149595014852, -0.7496317871473391, -0.8832828333313735, -0.9822146755246987, -1.0425385991721419, -1.0618834514202844, -1.0394888440378274, -0.9762350420006742, -0.8746083629109029, -0.7386034472948182, -0.573566241242186, -0.3859838632690658, -0.18322961510865368, 0.026726840707154885, 0.23563274442400942, 0.43527663034560155, 0.6178110949685064, 0.7760612549219263, 0.903806770154353, 0.9960263468798048, 1.0490951096049088, 1.0609270841331098, 1.0310571909657955, 0.9606595261851318, 0.8525012112518319, 0.7108336257441557, 0.5412252983536355, 0.3503430246919847, 0.14568981551342686, -0.06469002417725993, -0.27252709267299713, -0.4696519369904078, -0.6483161696105441, -0.8014970343967099, -0.9231734501150608, -1.0085626811131003, -1.0543083323407398, -1.058612279191985, -1.021305346400371, -0.9438539578122417, -0.8293024956552164, -0.6821536349864514, -0.5081913570153535, -0.3142535981170346, -0.10796347102350311, 0.10257037691751775, 0.30907249039565204, 0.5034258895129555, 0.6779911239647114, 0.8259065569615434, 0.9413580756306323, 1.0198076263877338, 1.058171592238456, 1.0549420005312238, 1.0102457968479714, 0.9258398551533489, 0.8050419203384815, 0.6526001976013545, 0.4745067147145893, 0.2777617933514191, 0.07009888739679128, -0.14031939597399218, -0.3452221439479174, -0.5365552428971624, -0.706797961475046, -0.8492585680513542, -0.9583373626503606, -1.0297467843936785, -1.0606799426831692, -1.0499209476677034, -0.9978927032333087, -0.9066402839174091, -0.7797505491509162, -0.6222111545514982, -0.4402145021123633, -0.24091433541737028, -0.03214454739610415, 0.1778887465556754, 0.3809297664065142, 0.5689975774878016, 0.7346997971440893, 0.8715231671653226, 0.9740895704691932, 1.038367428783669, 1.0618301719200431, 1.0435555496834692, 0.9842618827673338, 0.8862798277171068, 0.7534607657986322, 0.59102541672996, 0.4053586278180195, 0.20375840472446105, -0.005850951289477705, -0.21523032392358213, -0.41614963683582273, -0.6007113533058355, -0.7616609047615006, -0.8926718461521918, -0.9885945295650514, -1.0456585214683765, -1.0616208071667073, -1.035853956993797, -0.9693707886945262, -0.8647845565913352, -0.7262062323797952, -0.559082915137826, -0.36998372216737696, -0.16634157665846508, 0.043838958270245976, 0.2522963149852788, 0.4508366588302004, 0.6316559632370663, 0.7876467626486829, 0.9126775257128389, 1.001833667424425, 1.0516107267498065, 1.0600521164990429, 1.0268260309111639, 0.9532384879453205, 0.8421819936244948, 0.6980218462827176, 0.5264245497554628, 0.3341350800771066, 0.12871176066471238, -0.08177083274907418, -0.2890392595158932, -0.4849464182564938, -0.6617917850266333, -0.8126240978613427, -0.9315145900732571, -1.0137900323230802, -1.0562164232749973, -1.057126108507936, -1.0164833310186145, -0.9358856367223005, -0.8185010797052471, -0.6689436955023947, -0.49309213717320494, -0.2978586030479177, -0.09091713890358859, 0.11959800580225437, 0.3254121109275239, 0.5184352401230237, 0.6910802320123478, 0.8365609287927995, 0.9491589197836828, 1.0244483150314458, 1.0594697137945774, 1.0528465297274228, 1.0048391003685735, 0.9173344540514872, 0.7937721364698175, 0.6390090124326387, 0.4591283570483312, 0.26120074039096364, 0.05300610455703878, -0.1572720425684558, -0.36136829650872465, -0.5512602445021396, -0.7194838025318729, -0.8594266061242848, -0.965587922601725, -1.0337948684169656, -1.061366432713744, -1.0472188598375352, -0.9919082485260496, -0.8976086933326106, -0.7680268274775469, -0.6082561261925515, -0.4245766974569613, -0.22420842975331123, -0.015027199864422426, 0.19474470426587628, 0.3968617770574743, 0.5833794014347552, 0.74696612794098, 0.8811918520689107, 0.9807805624199839, 1.0418177249181932, 1.0619041514260161, 1.0402503046479814, 0.9777073324781674, 0.8767336119245086, 0.7412981176679213, 0.5767244135491693, 0.3894813992108319, 0.1869290370175261, -0.02297094603191717, -0.23196800995840353, -0.4318471058307983, -0.6147515847465868, -0.7734920191807675, -0.9018287978597113, -0.9947173862013373, -1.0485066118684032, -1.061082181422862, -1.031949786871646, -0.962254535434095, -0.8547359388051059, -0.7136202311515228, -0.5444542484984451, -0.35388739921022305, -0.14941029565320438, 0.060939679352656276, 0.26889429799160947, 0.46627948673608866, 0.6453366247070396, 0.7990275118346379, 0.9213110194335806, 1.0073805488869798, 1.0538529646489412, 1.0589015751752975, 1.0223279346997165, 0.9455696435427932, 0.8316438403469538, 0.6850286073886007, 0.5114869505692456, 0.31784027290573696, 0.11170024559810898, -0.09883038397913133, -0.3054762870199573, -0.5001148316890306, -0.6750953594636647, -0.8235399096172088, -0.9396135712653113, -1.0187538362456998, -1.0578499376555828, -1.0553651247862603, -1.0113970681931117, -0.9276740205584508, -0.8074868842522313, -0.6555598558114741, -0.4778647319168882, -0.28138617594220755, -0.07384717174630084, 0.13659454370266635, 0.3416671365468778, 0.5333098170651206, 0.7039896851859936, 0.8469978262393609, 0.9567130183083374, 1.028822685635071, 1.0604924130638205, 1.0504773584155538, 0.999171183507532, 0.9085905804856553, 0.7822960016934877, 0.6252517089490148, 0.4436306432736143, 0.24457178505982177, 0.03589954212324842, -0.1741838043456736, -0.37742050690080514, -0.5658219391723223, -0.731982604854431, -0.8693712255962206, -0.9725874660017192, -1.0375742046477354, -1.0617770073818447, -1.0442445344818558, -0.9856659349724085, -0.8883437582398681, -0.7561034477087721, -0.5941429741127333, -0.40882851882535187, -0.20744423832831368, 0.002094054174178856, 0.21155003567585573, 0.4126906185693941, 0.5976095686738595, 0.7590382756323996, 0.8906314602259684, 0.9872165883043522, 1.044997187619186, 1.061702075782869, 1.036674633649294, 0.9708986150468017, 0.8669594783601768, 0.728942759901279, 0.5622734837071354, 0.37350292008532365, 0.17005107478993597, -0.040084969192138234, -0.24864539303321273, -0.4474323108167885, -0.6286320038914633, -0.7851220547602911, -0.910751307990796, -1.0005816537210763, -1.0510821299758137, -1.0602677142111894, -1.0277773486088, -0.9548881321776143, -0.8444651218150035, -0.7008487154970554, -0.5296840442272954, -0.337699078836368, -0.1324401735892744, 0.07802455840990408, 0.2854223785915747, 0.4816010995086997, 0.658849522920847, 0.8102005439129475, 0.9297050069328824, 1.0126655492868404, 1.0558212404047727, 1.057475759259351, 1.0175640716673369, 0.9376549865887268, 0.8208894909428189, 0.6718572868153508, 0.4964163840090683, 0.3014628392150005, 0.09465969266785852, -0.11586424302565346, -0.3218339021760391, -0.515153234070896, -0.6882234344925083, -0.8342416319637336, -0.9474682882606555, -1.0234528024785865, -1.0592084508301798, -1.0533297858165067, -1.0060478801609363, -0.9192212440321178, -0.7962627725728351, -0.6420055952087317, -0.4625130997991814, -0.2648405990115759, -0.056758007101197314, 0.15355557215801194, 0.3578333415582678, 0.5480457535085629, 0.7167161275132626, 0.8572145361003355, 0.9640184074230327, 1.032929601026736, 1.0612394241828322, 1.047835102491071, 0.9932435197101127, 0.899610507534174, 0.7706164993730025, 0.6113318635320912, 0.42801760221326735, 0.2278792502610748, 0.01878364715841852, -0.19105028488350792, -0.39337460215304587, -0.5802365414146395, -0.7442911192241023, -0.8790898412400324, -0.9793341732322727, -1.0410838106006803, -1.0619115599534954, -1.040998744813416, -0.9791673853391775, -0.8788478871739289, -0.7439835094749728, -0.5798753672009066, -0.392974060151822, -0.19062611920177266, 0.019214763837436526, 0.22830037203139902, 0.4284121760386847, 0.6116843798967221, 0.7709131019138912, 0.8998395376933364, 0.9933959749975725, 1.0479049903459041, 1.06122399752267, 1.0328294662274153, 0.9638375004837386, 0.856959967931315, 0.7163979044271321, 0.5476763839022261, 0.3574273442452366, 0.1531289056772161, -0.05718857176766438, -0.26525813765552153, -0.4629012002265395, -0.6423490023534876, -0.7965479881281289, -0.9194370570283287, -1.0061858076352193, -1.053384406252746, -1.059177617262538, -1.023337726882313, -0.947273493912948, -0.8339747756472288, -0.6878950055302224, -0.5147761420220907, -0.3214229694003166, -0.11543562206029279, 0.09508915401588372, 0.301876260105701, 0.49679751410484363, 0.6721911450330837, 0.8211629543154053, 0.9378573060896136, 1.0176872947226423, 1.057515042339617, 1.0557750394097285, 1.012535680239285, 0.9294965745963185, 0.8099217411385357, 0.6585113086110423, 0.4812167678555454, 0.28500703652182446, 0.07759453177695545, -0.13286798172577408, -0.33810785261931425, -0.5300577159829521, -0.7011725973073054, -0.8447264828555001, -0.9550766991282277, -1.0278857094672122, -1.0602916096364459, -1.0510206207102735, -1.0004371575098339, -0.9105295045473529, -0.7848316625140406, -0.62828443729225, -0.4470412316671755, -0.24822617348386977, -0.03965408750852056, 0.17047668193866977, 0.3739065233562807, 0.562639218663983, 0.7292562505976963, 0.8672084024153333, 0.9710731880012996, 1.0367679935628684, 1.0617105529568114, 1.0449204488411594, 0.9870576499460075, 0.8903965696783539, 0.7587366657397869, 0.5972530948182554, 0.41229329267087667, 0.21112747542608937, 0.0016628691516395145, -0.20786709953124077, -0.4092264348005951, -0.594500303974533, -0.756406145889982, -0.8885799265810974, -0.9858262904031987, -1.0443227739102225, -1.0617700554500873, -1.0374823346154793, -0.9724142890048992, -0.869123548704202, -0.7316701635043494, -0.5654570144983708, -0.37701744299945966, -0.17375844445225774, 0.036330478384619606, 0.24499135887484924, 0.44402236245157395, 0.6256001761816731, 0.7825875197771447, 0.90881369071712, 0.9993171160914652, 1.0505403771789794, 1.06047004092779, 1.028715801981287, 0.9565258244132488, 0.8467376801346277, 0.703666812436186, 0.532936908831503, 0.3412588507358073, 0.13616692880707953, -0.07427730746496417, -0.28180192513640895, -0.4782497527304738, -0.6558990142288278, -0.8077668489712486, -0.9278837870041655, -1.0115283910744781, -1.055412842193939, -1.0578121739611244, -1.0186320758268927, -0.9394126001597154, -0.8232676273973217, -0.6747624687285231, -0.4997344173768297, -0.30506330207852805, -0.09840106161024341, 0.11212903001740912, 0.3182516651435017, 0.5118647800281486, 0.6853580227236793, 0.8319118932275208, 0.9457657976125405, 1.0224444797294026, 1.0589339301286613, 1.05379985774964, 1.0072440676082353, 0.9210965284459098 ]
[ 0, 0.39454718450863846, 0.7530234207788887, 1.0426554987337355, 1.2369641933215625, 1.3181850922237888, 1.2788926834732564, 1.1226792229467046, 0.8638263171795091, 0.5259992466042579, 0.1400833989634132, -0.2586393859246436, -0.6337164111459206, -0.9508567617138748, -1.1810663055733295, -1.3032984433146904, -1.30637826535388, -1.1900242030833375, -0.9648737709050825, -0.6515110457149292, -0.27858479522427465, 0.11981069728125072, 0.5072526571556416, 0.8483197218122854, 1.1118302913865896, 1.2736932647667316, 1.3191105362666242, 1.2439298926308586, 1.0550246235737972, 0.7696651404674084, 0.413940052098202, 0.020371048528774815, -0.37506035088554546, -0.7362023597421468, -1.0300380532734743, -1.2297038965004086, -1.3169457069606387, -1.2837875189068635, -1.1332607752993376, -0.8791271821908402, -0.5446205631709851, -0.16032273814324252, 0.2386323786256754, 0.615770849590541, 0.9366132948469724, 1.1718271232881936, 1.2999082254849994, 1.3091469581068735, 1.1986986823899966, 0.978660984105673, 0.6691505152969048, 0.2984638562917126, -0.09950946127812622, -0.48838525954500733, -0.8326110891664915, -1.1007165644191248, -1.2681905010897572, -1.3197218186838062, -1.2505993354654126, -1.0671424819416895, -0.7861235553872318, -0.43323433501565806, -0.040737245453725604, 0.3554841922466072, 0.7192059634899058, 1.0171752921854416, 1.2221507312921296, 1.3153926756512921, 1.2883766053051586, 1.1435724283238466, 0.8942186727660512, 0.5631121719711624, 0.18052389458503712, -0.21856853823050865, -0.5976786349944831, -0.922146762552856, -1.162308856647412, -1.2962084192848942, -1.3116038621770612, -1.2070876775644492, -0.9922151177293185, -0.6866306188455504, -0.31827183469570813, 0.07918452593119121, 0.4694015472640946, 0.8167041604370026, 1.089340688908562, 1.2623857029899603, 1.3200187938912669, 1.256970933419293, 1.079006187827503, 0.8023947457740557, 0.45242543810152647, 0.0610937403264993, -0.3358233708833105, -0.7020382799130168, -1.0040702788868627, -1.2143064965714934, -1.3135263681683462, -1.2926588497234606, -1.1536117261792809, -0.90909719468988, -0.5814696690115594, -0.20068205714676415, 0.1984526431777577, 0.5794440762305725, 0.9074606102056464, 1.1525137725376828, 1.2921999058665585, 1.3137483924239597, 1.2151891906692307, 1.0055329437003409, 0.7039471932694472, 0.3380040129341839, -0.0588407318618683, -0.45030604150635156, -0.8006027240452128, -1.0777053741529152, -1.2562802529480042, -1.3200013911608817, -1.2630431690218134, -1.0906129157507107, -0.818474836453298, -0.47150879076981167, -0.08143568500938148, 0.3160825692505606, 0.6847033976964194, 0.9907261344901619, 1.2061730605348842, 1.3113472289947903, 1.2966332322951046, 1.1633762778892573, 0.9237592044680626, 0.5996886822392143, 0.22079242492588627, -0.17828948430344357, -0.5610715160725716, -0.8925583354845456, -1.1424442037730165, -1.2878836399044202, -1.31558003810257, -1.223001292234104, -1.018611290222471, -0.7210961144235598, -0.3576556915577591, 0.038482924183024445, 0.4311032900901501, 0.7843106147368071, 1.0658133912386767, 1.2498756050483297, 1.3196696146373148, 1.2688145960989348, 1.1019599014331123, 0.834359997763009, 0.49047984809654255, 0.10175823482998396, -0.2962664888515008, -0.6672054453453584, -0.9771460370596284, -1.1977523602553617, -1.3088557771181446, -1.3002988064743226, -1.1728637579114172, -0.9382012101712158, -0.6177648725827223, -0.24085020840276267, 0.15808386370005723, 0.5425653301608895, 0.8774434875408396, 1.1321025485391663, 1.2832606493677725, 1.317098362985019, 1.230522121715565, 1.031447042534312, 0.7380732980914411, 0.3772221902889879, -0.018115951345006112, -0.41179786637568105, -0.7678317126684554, -1.0536675723808768, -1.2431732846328571, -1.3190235433370319, -1.2742838401176968, -1.1130444424571413, -0.8500464464659512, -0.5093340919021985, -0.12205654973502282, 0.27637984911780367, 0.6495485902021733, 0.9633332208545392, 1.1890464012213353, 1.3060526059068547, 1.303654699261689, 1.1820719066912504, 0.9524197722665182, 0.6356939349856169, 0.26085063058129243, -0.13784059357278253, -0.5239299259604827, -0.8621196661526147, -1.1214912698224635, -1.278332035275965, -1.318303005464451, -1.237749887939981, -1.0440371436510811, -0.7548747009579376, -0.3966988491369778, -0.0022553360190174032, 0.39239436817571893, 0.7511699424837115, 1.0412708102485468, 1.2361748879376975, 1.3180633311294805, 1.2794495985135719, 1.1238638989095142, 0.8655304466506225, 0.5280670318277759, 0.1423257954430105, -0.2564273862856277, -0.6317370374537161, -0.9492909755588769, -1.1800572568589267, -1.3029383829689798, -1.3067001114120256, -1.1909985312002698, -0.9664115044368508, -0.6534715994316743, -0.2807889281266674, 0.11756449509357648, 0.5051697417111133, 0.8465905208674304, 1.1106128948232354, 1.2730989714361753, 1.3191936786411496, 1.2446828695301597, 1.0563785950927287, 0.7714963215721455, 0.4160810295073105, 0.022626086248350042, -0.37289741666064324, -0.7343292723783051, -1.028626057275799, -1.2288820817130133, -1.3167892067004454, -1.284310641000689, -1.1344156940099526, -0.8808083106210066, -0.5466742064041857, -0.1625611445956852, 0.23641385226775616, 0.6137750291299181, 0.9350226454978298, 1.1707870680381607, 1.299513849993193, 1.3094343176247591, 1.199641505458286, 0.9801730743873174, 0.6710936319618676, 0.3006603524997793, -0.09726039725275924, -0.4862892453704514, -0.8308597501331376, -1.099470014353902, -1.2675627041638542, -1.319770170390864, -1.2513194153153322, -1.0684684575980319, -0.787934201300433, -0.4353641153066882, -0.04299144781021128, 0.3533116552578534, 0.7173137131551013, 1.015736324958668, 1.2212966028260144, 1.315201473497584, 1.2888658098648398, 1.1446973147248496, 0.8958763997748411, 0.5651511841148383, 0.18275777790760947, -0.21634401352172616, -0.5956668430934603, -0.9205316288413276, -1.161238042563091, -1.2957798225721393, -1.3118566667166516, -1.20799877103974, -0.9937012046388315, -0.6885558356827332, -0.32046017108814917, 0.07693313570907362, 0.4672929335498405, 0.8149311004170494, 1.088065282221964, 1.2617245519859017, 1.3200323434153314, 1.257657944724379, 1.08030385182462, 0.8041844252691894, 0.4545435140423547, 0.06334657045519489, -0.33364174854583717, -0.7001273172688334, -1.0026046831378894, -1.21342025784735, -1.3133005096581563, -1.2931140202392022, -1.154706312365798, -0.9107311254701939, -0.5834935644510953, -0.20291088531398624, 0.19622264991472374, 0.577416792020958, 0.9058213767947546, 1.1514124546459783, 1.2917371900081798, 1.313966581776892, 1.21606833756394, 1.0069926733087113, 0.7058540517659112, 0.3401836683330362, -0.05658755163796023, -0.4481853304434547, -0.7988083653136765, -1.0764014145979892, -1.2555859053266392, -1.3199801352749754, -1.2636969481622748, -1.091881959034724, -0.8202431232972289, -0.47361465791586027, -0.08368660637241258, 0.31389238114330004, 0.6827741778609951, 0.9892342592677811, 1.2052549226208513, 1.311086767918968, 1.297054260362714, 1.1644403031727684, 0.9253689498801388, 0.6016969789602086, 0.22301566711624107, -0.17605455358518407, -0.5590292223758635, -0.8908953927769315, -1.1413126443657051, -1.2873869151016124, -1.3157635603044946, -1.2238482831690958, -1.0200443148780032, -0.7229841604386338, -0.35982614685257613, 0.0362284905785655, 0.42897098675079115, 0.7824953846412531, 1.064481189368667, 1.2491482261766904, 1.3196135584037758, 1.2694349873696131, 1.1032000217664912, 0.8361064708175124, 0.4925730049108657, 0.10400671134403837, -0.2940682565933875, -0.665258427785003, -0.9756282376714024, -1.19680254181674, -1.3085607755085447, -1.3006855918210356, -1.1738969688818313, -0.9397863868353323, -0.6197570922857866, -0.24306733512505285, 0.15584452780150634, 0.5405085133732376, 0.8757572315857882, 1.1309410171103664, 1.2827300339213716, 1.317247174327974, 1.2313367549700305, 1.0328530209453866, 0.7399420819648195, 0.3793829285604085, -0.015860801279794702, -0.40965447859286813, -0.7659960435271788, -1.052307445475264, -1.2424130477447362, -1.3189327001063087, -1.274870695765144, -1.1142553444907073, -0.8517706897880121, -0.5114140398749827, -0.12430204589909051, 0.274174096243553, 0.647584238621909, 0.9617898587821838, 1.1880651284685118, 1.3057231340215674, 1.3040071497700445, 1.1830740572772769, 0.9539800026542844, 0.637669603200293, 0.26306111380082786, -0.13559738581802444, -0.5218590759368543, -0.8604104985517337, -1.1203000430044907, -1.277767655558255, -1.318417070507272, -1.2385319694994683, -1.0454157409674765, -0.7567237776168667, -0.3988493557798907, -0.00451066545458687, 0.39024040642238594, 0.7493142714828204, 1.039883082237485, 1.2353819740924181, 1.3179377225369526, 1.280002778771241, 1.1250452942527691, 0.8672320495915108, 0.5301332755950221, 0.14456777646589594, -0.254214638121188, -0.6297558196868893, -0.9477224183721156, -1.17904476349351, -1.3025745192755978, -1.307018143141808, -1.1919693827280078, -0.9679464169611431, -0.6554302456294511, -0.2829922413909585, 0.11531794972878587, 0.5030853516487586, 0.8448588486790044, 1.1093922563207046, 1.2725009618608016, 1.3192729702179093, 1.2454322131327875, 1.0577294829853454, 0.7733252506373824, 0.4182207923533776, 0.024881057921135857, -0.37073339392800336, -0.7324540414675614, -1.027211058662969, -1.2280566797522854, -1.3166288626612717, -1.2848300141222178, -1.1355673012997518, -0.8824868679240216, -0.5487262538657807, -0.1647990765233556, 0.23419463580502198, 0.6117774170267638, 0.9334292667669362, 1.1697435951972883, 1.2991156811501103, 1.3097178548329829, 1.2005808267080642, 0.9816823034907072, 0.6730347896681778, 0.3028559710640003, -0.09501104931902032, -0.48419181169127956, -0.8291059857751967, -1.0982202548761653, -1.2669312071537921, -1.3198146696173463, -1.252035842496135, -1.069791314337084, -0.7897425471910595, -0.43749262474628786, -0.0452455246723334, 0.35113808693324183, 0.7154193689427508, 1.0142943927425765, 1.2204389093289831, 1.3150064321995731, 1.2893512521554442, 1.1458188596924372, 0.8975315116719, 0.5671885465516252, 0.18499112775032492, -0.21411885729305608, -0.5936533124086667, -0.9189138080481503, -1.1601638387620605, -1.2953474434079322, -1.312105641875614, -1.2089063383012155, -0.9951843908807542, -0.6904790425881316, -0.322647572039984, 0.07468152091498204, 0.4651829557822157, 0.8131556615690891, 1.0867866994139113, 1.2610597179395722, 1.3200420396935237, 1.2583412848578437, 1.0815983623563017, 0.8059717573064796, 0.456660263146067, 0.0655992156718079, -0.3314591522900467, -0.6982143109151084, -1.0011361607315596, -1.2125304770837897, -1.313070817552681, -1.2935654160851064, -1.1557975279020838, -0.9123623977770384, -0.585515756641362, -0.20513912117335842, 0.19399208386717498, 0.5753878223004766, 0.9041794992422258, 1.1503077757189988, 1.2912707034990074, 1.3141809355902385, 1.2169439346893238, 1.0084494634509655, 0.7077588498361778, 0.3423623307173804, -0.05433420623191612, -0.44606331110333275, -0.7970116748172847, -1.0750943129690613, -1.254887892582052, -1.3199550262955948, -1.264347038502933, -1.0931478150561673, -0.8220090158070928, -0.47571914255503867, -0.0859372834497092, 0.3117012767671403, 0.6808429649707987, 0.9877394964170502, 1.2043332665024513, 1.3108224797098902, 1.2974715022587173, 1.1655009293919913, 0.9269759940901342, 0.6037035192951643, 0.2252382583117441, -0.17381910895415167, -0.556985296842549, -0.8892298494974501, -1.1401777534050028, -1.286886432346705, -1.3159432417213572, -1.2246917016246905, -1.0214743619689526, -0.7248700960237486, -0.36199555179540877, 0.03397395122122817, 0.4268374312218988, 0.780677870399272, 1.0631458802204494, 1.2484172009737573, 1.3195536501468204, 1.2700516730908458, 1.104436921799278, 0.837850503231993, 0.4946647238778603, 0.10625488425689053, -0.2918691659340859, -0.663309468299274, -0.9741075903715272, -1.195849229846716, -1.308261954139201, -1.3010685803960929, -1.174926753183451, -0.9413688202121023, -0.6217475028843801, -0.24528375232057764, 0.1536047369843326, 0.5384501188119483, 0.8740684192479676, 1.1297761844035077, 1.2821956741165637, 1.3173921405551157, 1.2321477938858512, 1.0342559844025896, 0.7418087059071949, 0.3815425593925671, -0.013605604916101978, -0.4075098950064817, -0.7641581384019598, -1.050944246827249, -1.2416491841856654, -1.318838006839632, -1.275453829996013, -1.115462993952606, -0.853492446745332, -0.513492495002455, -0.12654717921880362, 0.2719675430403093, 0.6456179967082105, 0.9602436891931434, 1.1870803876892604, 1.3053898506597628, 1.3043557938109338, 1.1840727544060825, 0.9555374483227843, 0.6396434100228925, 0.2652708291306942, -0.13335378224710973, -0.519786702578366, -0.8586988193660422, -1.119105545970048, -1.2771995459675847, -1.3185272870192901, -1.2393104357170832, -1.0467912866587286, -0.7585706453580993, -0.4009986981599597, -0.006765981723242167, 0.38808530553615345, 0.747456413192967, 1.038492318751422, 1.234585454100277, 1.317808266812864, 1.2805522226315085, 1.1262234055279137, 0.8689311210350691, 0.5321979718745201, 0.14680933548763417, -0.25200114789049416, -0.6277727636287321, -0.9461510947323089, -1.1780288284325906, -1.3022068532966713, -1.3073323596148732, -1.1929367548325962, -0.9694785039974304, -0.6573869785908256, -0.28519472858555855, 0.11307106774463839, 0.5009994930530619, 0.8431247103018612, 1.1081683794421189, 1.2718992377862266, 1.3193484107654494, 1.2461779212513617, 1.0590772833083508, 0.7751519223243324, 0.42035933439027523, 0.027135956964785383, -0.3685682890045345, -0.7305766724838495, -1.0257930615654494, -1.2272276930276267, -1.3164646753111688, -1.2853456367553877, -1.136715593807123, -0.8841628492001363, -0.5507766995657004, -0.16703652739359995, 0.23197473571544897, 0.6097780191122264, 0.9318331633055199, 1.1686967078115358, 1.2987137201180212, 1.3099975689038872, 1.2015166433974294, 0.9831886670103079, 0.6749739827495496, 0.3050507055752097, -0.09276142404288489, -0.4820929646299795, -0.8273498012120131, -1.0969672896340816, -1.2662960119029494, -1.3198553162333582, -1.2527486149165385, -1.0711110482973967, -0.791548587780437, -0.43961985712128465, -0.04749946946028207, 0.34896349361754514, 0.7135229363825165, 1.012849499746254, 1.2195776533047265, 1.3148075523265967, 1.2898329307599548, 1.1469370599527147, 0.8991840036259146, 0.5692242533343391, 0.18722393759397943, -0.2118930760398869, -0.5916380488177158, -0.9172933048958071, -1.1590862483799864, -1.2949112830544087, -1.3123507869271749, -1.2098103766996662, -0.9966646721255269, -0.6924002339478567, -0.32483403116610715, 0.07242968812143173, 0.46307162012039477, 0.8113778490757313, 1.0855049442166373, 1.260391202791662, 1.3200478826975395, 1.2590209518249755, 1.082889715643842, 0.8077567366685333, 0.4587756792337139, 0.06785166940077779, -0.3292755884870648, -0.6962992664360429, -0.9996647159545785, -1.211637156878117, -1.3128372925224026, -1.2940130359435396, -1.156885369602815, -0.9139910068486923, -0.5875362396793867, -0.20736675822049336, 0.19176095154621287, 0.5733571729918094, 0.9025349823408171, 1.1491997389813393, 1.2908004477007466, 1.3143914532382908, 1.2178159794894958, 1.0099033098746417, 0.7096615819200934, 0.3445399937274927, -0.05208070222142005, -0.4439399896802396, -0.7952126578006817, -1.0737840730816537, -1.2541862167517652, -1.3199260642960353, -1.2649934381461436, -1.0944104801199803, -0.8237725088281387, -0.4778222385443562, -0.08818770967138564, 0.309509262518134, 0.6789097646631128, 0.9862418503012688, 1.2034080948700632, 1.3105543651390306, 1.2978849567651687, 1.1665581534509142, 0.9285803324070462, 0.6057082973868646, 0.22746019202465137, -0.17158315693576745, -0.5549397454390169, -0.8875617105078841, -1.1390395342037227, -1.286382193100642, -1.3161190818286568, -1.2255315451389146, -1.0229014273209525, -0.7267539156738584, -0.36416390005362853, 0.031719312692012974, 0.4247026297314728, 0.7788580773163392, 1.0618074676918414, 1.247682531573436, 1.3194898900413252, 1.2706646514624886, 1.1056705979209098, 0.8395920899154526, 0.49675499889179886, 0.10850274700598325, -0.28966922329285155, -0.6613585725773301, -0.9725840995988607, -1.1948924271280432, -1.3079593138823915, -1.3014477710815222, -1.1759531078102718, -0.9429485056823632, -0.6237360985683038, -0.24749945351960592, 0.151364497786616, 0.5363901524855779, 0.8723770554571402, 1.1286080538188044, 1.2816575715131648, 1.317533261243279, 1.2329552360955436, 1.035655928810583, 0.7436731644698454, 0.38370107648128554, -0.01135036883685567, -0.4053641218766327, -0.7623180026577354, -1.049577980416106, -1.2408816961854077, -1.3187394638134156, -1.2760332411080988, -1.1166673873176178, -0.8552117123119946, -0.5155694512176048, -0.12879194314039374, 0.26976019594910244, 0.6436498702006118, 0.9586947166007642, 1.1860921817581094, 1.3050527567943149, 1.3047006303666508, 1.1850679951624248, 0.957092104725717, 0.64161534969175, 0.26747977012072294, -0.13110978940934132, -0.5177128119343708, -0.8569846335919956, -1.1179077822059025, -1.2766277081623056, -1.318633654678777, -1.240085284320451, -1.0481637767095568, -0.7604152987905827, -0.4031468700031201, -0.00902127824170556, 0.3859290718079583, 0.7455963730374251, 1.0370985238500483, 1.233785330286366, 1.3176749643351051, 1.2810979284905135, 1.1273982292959384, 0.8706276560216724, 0.5342611146393611, 0.14905046596497434, -0.24978692205473352, -0.6257878750679255, -0.9445770092262351, -1.1770094546417467, -1.3018353861054492, -1.307642759914006, -1.1939006446902, -0.9710077610734548, -0.659341792604021, -0.287396383281343, 0.11082385569992288, 0.49891217201265314, 0.841388110798074, 1.1069412677600412, 1.2712938009689103, 1.3194200000635534, 1.24691999170912, 1.0604219921274094, 0.7769763313008266, 0.42249664937551895, 0.029390776797069973, -0.36640210821020497, -0.728697170907217, -1.0243720701224734, -1.226395123958894, -1.3162966451294071, -1.2858575073950598, -1.137860568180138, -0.8858362495569452, -0.5528255375186509, -0.1692734906751037, 0.22975415847910102, 0.6077768412225734, 0.9302343397726008, 1.1676464089368415, 1.2983079680702752, 1.3102734590209737, 1.2024489527946667, 0.9846921605489635, 0.6769112055452282, 0.3072445496269316, -0.09051152799120572, -0.47999271031325186, -0.8255912015699114, -1.095711122285052, -1.2656571202655054, -1.3198921101202494, -1.2534577304959273, -1.0724276556265733, -0.793352317796635, -0.44174580622201287, -0.04975327559474542, 0.3467878816585913, 0.7116244210102347, 1.0114016501873617, 1.2187128372672473, 1.3146048344591992, 1.290310844272297, 1.1480519122416604, 0.9008338708131437, 0.5712582985206417, 0.189456200920713, -0.20966667625932062, -0.5896210582033382, -0.9156701241146749, -1.1580052745623686, -1.2944713427847407, -1.3125921011557387, -1.210710883596102, -0.9981420440522152, -0.6943194041538145, -0.32701954208410805, 0.07017764390181308, 0.46095893272741045, 0.8095976681265661, 1.0842200203716872, 1.2597190084935752, 1.3200498724103231, 1.2596969436417786, 1.0841779079176355, 0.809539358145003, 0.4608897561303518, 0.07010392506705145, -0.32709106351077794, -0.6943821894216915, -0.9981903531022224, -1.2107402998380046, -1.3125999352489945, -1.294456878507875, -1.1579698342925047, -0.9156169479310629, -0.5895550076673879, -0.20959378995287198, 0.1895292594646519, 0.5713248500224808, 0.9008878308909074, 1.1480883476674648, 1.2903264239861076, 1.3145981341065343, 1.2186844694189094, 1.0113542083358598, 0.7115622424633696, 0.3467166510067835, -0.04982704618449722, -0.4418153723722833, -0.7934113195152506, -1.072470698760384, -1.2534808798840382, -1.319893249360838, -1.265636145205026, -1.095669950540375, -0.8255335972126058, -0.4799239397446218, -0.09043787846843825, 0.30731634479479814, 0.6769745825810701, 0.9847413252920597, 1.2024794104242826, 1.3102824249890395, 1.2982946226751615, 1.1676119722634335, 0.9301819601477244, 0.6077113073832207, 0.2296814617688703, -0.16934670405678484, -0.5528925741363593, -0.8858909806776357, -1.1378979900843218, -1.285874198835309, -1.3162910801131007, -1.2263678112601986, -1.0243255067683095, -0.7286356138899132, -0.36633118529767345, 0.02946458157248187, 0.42256658851100765, 0.7770360107045442, 1.0604659556897522, 1.2469442201202225, 1.3194222782734073, 1.2712739206952042, 1.106901046530189, 0.8413312257841783, 0.4988438238509682, 0.11075029302964612, -0.2874684350915459, -0.6594057463138444, -0.9710577698005808, -1.1939321364536881, -1.3076528556215212, -1.3018231627704584, -1.1769760297662748, -0.9445254386348092, -0.625722873532822, -0.2497144322542938, 0.1491238167477733, 0.5343286204073827, 0.8706831451504041, 1.1274366287661126, 1.2811157276819303, 1.317670535980533, 1.2337590792421678, 1.0370528500828071, 0.7455354522101761, 0.3858584735258254, -0.009095099625305776, -0.40321716546700265, -0.7604756416660533, -1.0482086502299723, -1.2401105859843147, -1.318637071315312, -1.276608927410103, -1.1178685210700936, -0.8569284814693708, -0.5176449024575118, -0.13103633111136684, 0.2675520614132797, 0.6416798648442298, 0.9571429455266585, 1.1851005135596362, 1.3047118534092248, 1.3050416584305955, 1.18605977664115, 0.9586439673250085, 0.6435854164506671 ]
78
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave" ]
Pattern refers to the general shape of the time series. In this case, you see both time series have cyclic patterns. Do their behaviors at peak and trough look similar?
Similarity Analysis
Shape
433
null
Both time series have a cyclic components. Which time series has a higher amplitude of the cyclic component?
[ "Time series 2 has higher amplitude", "Time series 1 has higher amplitude" ]
Time series 1 has higher amplitude
binary
[ -0.0924762586969455, 2.694902839014917, 5.089787492865152, 7.052540310593725, 8.638919412132617, 9.373742685155007, 9.462656168407442, 8.8245473285589, 7.1898329575846756, 5.20223808081205, 2.6959982677674073, 0.24816695041138911, -2.512219788690669, -4.853197768935504, -6.810677370682379, -8.470074881967776, -9.239301218524728, -9.132376450330765, -8.452798022114479, -7.057373133359372, -5.167347921828017, -2.85853717876958, -0.1422755572299309, 2.490415361565716, 5.117153080251581, 7.162487883707747, 8.590395780542364, 9.44357937433394, 9.623303920179502, 8.879842654187563, 7.490322631118786, 5.793762695791442, 3.15675535762761, 0.6549858712729884, -2.024139196867302, -4.681431939852644, -6.678110829688482, -8.056921352347373, -9.004654330509396, -9.245593432253447, -8.412929462329753, -7.160973882813281, -5.1145111378381385, -2.505407521057554, -0.10380071128534829, 2.588536892545993, 4.994514747160296, 7.023996831289134, 8.808322327010023, 9.543635278287017, 9.736281999845763, 9.338348440707705, 7.818684782573705, 6.066711640353684, 3.6298236366545775, 0.9246612253985329, -1.6435137077395492, -4.239217889486632, -6.198579416223211, -7.746249772813468, -8.780646799213935, -8.824462624799905, -8.359933671956421, -6.9920486305842084, -4.889575174252809, -2.584065309629387, -0.23097292675584355, 2.4912996539833294, 4.8726084048518485, 7.213641911716587, 8.795483026382392, 9.639091236158524, 10.055678774060548, 9.37436407496575, 8.099874659596278, 6.331050370189454, 3.921997855417604, 1.368301685784681, -1.1160284650185714, -3.8647485386810536, -5.8963021191193485, -7.65642662395974, -8.671343887866524, -8.820802869564794, -8.025735202745437, -6.981543262075688, -5.161674531827369, -2.9394296541386544, -0.3214302733799712, 2.2470406424460037, 5.11289357078616, 7.1544902245824495, 8.82041322596631, 9.843602523460833, 10.318124738198595, 9.667449148736468, 8.42762986186599, 6.8134686168233, 4.330909305098797, 1.5933220685543945, -1.0552313396195592, -3.4555131936730445, -5.6055203513745075, -7.238059417584993, -8.448798725749983, -8.683429699696068, -8.288006283929251, -6.919907218296077, -5.099302459913196, -2.7444212275695543, -0.317514705395708, 2.514303816152117, 4.816905604050984, 7.139115698583195, 8.7368880775486, 9.98175900760034, 10.304015128676884, 9.623292506648285, 8.848088240422422, 7.057974235440461, 4.661491108471876, 2.180985579300211, -0.662797401888746, -3.1439087886184454, -5.134769191573069, -7.152996369830515, -8.133458290568813, -8.643108699310005, -8.080692454237148, -6.941864115206774, -5.171166991729019, -2.9444684741815697, -0.2789839635804052, 2.2038415026387406, 4.730719506575368, 7.044930126278748, 8.744265571356113, 10.028030355879105, 10.422321117037445, 10.142170396295969, 8.860996210613292, 7.306337203265317, 5.2093662878295275, 2.5997038482103236, -0.31302263341469916, -2.6962105877217613, -5.038203365317677, -6.748787477905511, -7.944460744827884, -8.166422763628965, -8.007902658946882, -6.928533129143712, -5.260286429853335, -2.9924600851486027, -0.5115199863519458, 2.2672886594648753, 4.745377509784605, 7.223727323614861, 8.959694162595705, 10.095181483350158, 10.675546374811256, 10.363981183882263, 9.386017730380251, 7.647624086902417, 5.432217916561596, 2.94472121126692, 0.2171557710371838, -2.222995706436213, -4.4776180681936095, -6.39996265946012, -7.531140983956386, -8.058858368245373, -7.939789753785747, -6.8338365487884465, -5.392636924005758, -3.067429203601153, -0.6752574940687243, 2.109024915811662, 4.586423870014258, 7.174363113894645, 8.897042011838144, 10.285954695352652, 10.733153726046586, 10.345005213147909, 9.530636406947858, 7.9134987402030115, 5.820707573492792, 3.4696677137803125, 0.8257870340191604, -1.9678054521790052, -4.406646166286731, -6.2354302832982995, -7.386179954522604, -8.007879106739196, -7.961456639900736, -6.9200472637498, -5.13770148206665, -3.100309421404372, -0.6183728258037119, 2.010664849536958, 4.628150582673064, 7.0947052132347075, 8.97261849664518, 10.351955313251214, 10.939060522337682, 10.740598479582536, 9.888271015824174, 8.230845059021753, 6.180523350682251, 3.839450697336282, 1.0511585459696344, -1.5881498936294591, -3.9122327059607134, -5.976171936278817, -7.16791021936833, -7.64728654997773, -7.770183810718168, -6.790252064587107, -5.271685554311301, -3.1751876189214756, -0.6946472588754232, 2.0501683078474082, 4.506147680068405, 7.081190391996208, 8.982692533054475, 10.172807562438917, 11.060401179475386, 10.95364313200374, 10.028436551817158, 8.62559371676606, 6.414052630679862, 4.022061279430382, 1.445738102828395, -1.3548674809106718, -3.697776532538634, -5.653926054696201, -6.932652482369553, -7.586931045226694, -7.658411070060438, -6.85405260097851, -5.2518637714391705, -3.197031266595573, -0.8214075368432098, 2.0905816161025546, 4.574404804123698, 6.964071496335463, 8.950107715983702, 10.518936085028804, 11.209288475715374, 10.96650925683268, 10.306693693611525, 8.880110152872033, 6.901886351482487, 4.536970144732035, 1.727129512986129, -0.812380170119836, -3.0588769669705393, -5.240570052149837, -6.755348104309399, -7.5730133195893385, -7.492015632565328, -6.804106640572555, -5.297240815382401, -3.188799107891943, -0.8096184930026894, 1.7885988929017165, 4.31522869677923, 7.029919295685007, 8.962066274848688, 10.492626776725025, 11.190339248561857, 11.291775883092424, 10.573786709217996, 9.102369726022266, 7.166632041471813, 4.85492525415257, 2.2561176049570166, -0.48935879950144573, -2.9921645008344213, -4.964563631125785, -6.348135411582241, -7.336406447167014, -7.3105970131549185, -6.694159575249768, -5.132710487244096, -3.325435235025533, -0.8073918774529604, 1.867056501887549, 4.585235822043885, 6.774004740817481, 8.861852851681782, 10.656985778472421, 11.502772471833905, 11.457732603853826, 10.558365570556926, 9.550452995989675, 7.456853479575783, 5.154046008313757, 2.6363669814633526, -0.004453951949565417, -2.353897901685957, -4.647435690420541, -6.258799219771311, -6.948054981751724, -7.137085648958006, -6.591068427389397, -5.225751658652173, -3.341105185872513, -0.8628811228428362, 1.8634909314346277, 4.293923945563706, 6.911145001431168, 8.848883529901537, 10.486765544231808, 11.574397333885216, 11.693479279548956, 11.016164077700246, 9.845384822979332, 8.04438202816364, 5.470691205136037, 3.1846208658750212, 0.4075694373236336, -2.0900319306135002, -4.287432710562938, -5.716480613000595, -6.735264274389533, -7.068791331658815, -6.40035906835206, -5.281106578684137, -3.356509750491934, -0.841995667549921, 1.6629403249899406, 4.366740762517538, 6.942963176521325, 9.052819414637646, 10.561447877987153, 11.794220599978406, 11.927555875282739, 11.425454325226424, 10.147696901760646, 8.412053914087924, 6.183463861685729, 3.3637449977309775, 0.8442946074005122, -1.780475985748471, -4.160236960869167, -5.756643300567314, -6.575228030310288, -6.782562113756471, -6.3311871146506045, -5.105162051376134, -3.0912513628713714, -0.9903460728085978, 1.527651806154811, 4.220906209394239, 6.943793332835646, 8.863257868907162, 10.809959890778462, 11.734124027037257, 11.962523751432231, 11.456083942377058, 10.583142890718584, 8.556217472186649, 6.372674830642774, 3.69456975305915, 1.3228901934999526, -1.406090637087853, -3.7642844248267995, -5.379252650094968, -6.258984647438913, -6.827160170233304, -6.338842079076265, -5.032969307492402, -3.334143827359607, -1.2174769476099716, 1.5070574284358633, 4.150282006397568, 6.73729923812807, 9.073155545118057, 10.748945250096641, 11.822141518415428, 12.195544454363603, 11.937689306673636, 10.651316789875157, 8.762518563978558, 6.716136519191226, 4.219951090356734, 1.4741461685201, -1.097972222053168, -3.3314865414626786, -5.0541208941104205, -6.303284404677832, -6.503529828212666, -6.474101574095202, -5.06255121789671, -3.351530084892952, -1.0958682550596177, 1.2232125485543763, 4.125968287672882, 6.627170280177004, 9.12328900537156, 10.79497962836404, 11.807194296687795, 12.199049587459688, 11.99198636981072, 11.087991925693133, 9.428183612672653, 7.126662430831296, 4.57938369918331, 1.87284486725477, -0.6747641369266094, -2.8352046330260396, -4.796857664186231, -5.877286575209219, -6.457012372443213, -6.006234779325689, -5.0187261154626, -3.2963559203861137, -1.0049645523252928, 1.0900827239966044, 4.1024709889190305, 6.675421096934399, 8.988743285112857, 10.812061863982349, 12.036878137117151, 12.55441406121175, 12.362024122281465, 11.368092183321055, 9.640239606862924, 7.457134607249086, 4.961689808028761, 2.2556792178911382, -0.11958586965985973, -2.7419758956489315, -4.393060191448228, -5.633091035650115, -6.286026383286739, -5.972140168195857, -4.905455342408098, -3.4333955423471614, -1.107028933534974, 1.3933617964183542, 3.8859357000506143, 6.462644513566349, 8.937921938116704, 10.688521810910348, 11.80506155967802, 12.618830422452724, 12.70128293302142, 11.5144448810689, 10.006549750394145, 7.910619015608239, 5.342751281819461, 2.6550332012670914, 0.20236256553702814, -2.2655470216764786, -4.178415815556833, -5.386676372915725, -6.159080890629568, -6.016695329820223, -5.144431321728588, -3.3464331978216517, -1.2969510213432982, 1.2985989018983828, 3.891398875996711, 6.3792812833324115, 8.859774763946124, 10.92221573501449, 12.146622611754848, 12.927772585336124, 12.645374401952395, 11.899797065363403, 10.112171204988732, 8.179968124370813, 5.694120217827535, 2.940409214170089, 0.5697335243231682, -1.9848125555068281, -3.9403207997094674, -5.089937014787556, -5.857447683691548, -5.695468979466137, -5.0973706432180315, -3.481847926146533, -1.1115021824729077, 1.2370970056592667, 3.708058229384469, 6.479921934867985, 8.766413107475627, 10.987424620981518, 12.017888965130815, 12.972277144525767, 12.918045772848314, 11.9802366615891, 10.580815244104356, 8.599293243942167, 5.939600513172585, 3.344273717031929, 0.8238997793501621, -1.6521210339217889, -3.604585520312126, -4.97045843274998, -5.7764504990949765, -5.653571726607257, -4.837365661264063, -3.318687967590495, -1.481353456455982, 1.0260209507515399, 3.8031669884250165, 6.2484996835185775, 8.844038452512446, 10.861963689248672, 12.052973635540859, 13.02532092385709, 13.120770101011738, 12.328828179864235, 10.874177022622039, 8.933495947780132, 6.599381212560081, 3.91811425168519, 1.1463796813813507, -1.3595802573294276, -3.194258033379411, -4.8294060235519, -5.544380426500608, -5.502661487663967, -4.6874236182356555, -3.258302648999207, -1.384286078309311, 0.9766558704768302, 3.5531468683250247, 6.530242731526007, 8.768787873754976, 10.933747629555768, 12.392955416321431, 13.149573566443042, 13.223937389138179, 12.46503071499875, 11.343005076779122, 9.25886088877454, 7.0248859555560434, 4.211557628437664, 1.5762690561590311, -0.9688485971765004, -2.9610250691666637, -4.573681036730745, -5.2518639992959395, -5.378174433805333, -4.584287275787657, -3.518606003546499, -1.299175648914227, 0.8702128156787796, 3.63664923879209, 6.156022715365022, 8.77944489297674, 10.61750674953758, 12.362724977726801, 13.328513982870453, 13.63766771952363, 12.63863188936548, 11.535284682902548, 9.568854232948024, 7.069985346999384, 4.535843931970786, 1.944482824507832, -0.4477493314345371, -2.6006055226498392, -4.313871302966976, -5.270490971059155, -5.207731207176945, -4.675733647084358, -3.193183221079055, -1.483174725219993, 1.024673631096188, 3.5858813783462384, 6.2875652237281585, 8.760954011668584, 10.912487192820766, 12.252051697483017, 13.407400283590183, 13.574485874073963, 13.221296286075171, 11.735600592827781, 9.939180595855204, 7.719432017218171, 5.069989477368302, 2.3951283472103753, -0.019687036284634238, -2.258835968991397, -3.9650511918212397, -5.006102738294463, -5.055695302876982, -4.652331551575669, -3.3553979732277828, -1.3638355547401695, 0.832489354343504, 3.416741616341751, 6.111068219451435, 8.648271465954585, 10.762405521051152, 12.695441900016379, 13.483792844808846, 13.892334680563632, 13.229840281640401, 12.186397652170227, 10.327177186327475, 8.01756526843074, 5.4484871543566165, 2.8079416584585455, 0.2132158054395158, -1.9740293243785842, -3.575797350784568, -4.774520844492528, -5.083184140628779, -4.471174871474881, -3.5046003122607567, -1.660205091856549, 0.9815108530553209, 3.5463072588900464, 6.014502746582912, 8.726672675410768, 10.955460686004031, 12.616367012991276, 13.63294303682455, 14.043905008005495, 13.643551661273772, 12.486672688386017, 10.494784069116458, 8.591917394289876, 6.061822074681465, 2.9643815836978433, 0.656053632292823, -1.4193718934061192, -3.2514147229638994, -4.337376563971619, -4.940908352231485, -4.318297693326375, -3.2473418578577764, -1.4305744721446563, 0.6460354579317692, 3.215095398907362, 5.988934054353079, 8.539581393892965, 10.823078742923062, 12.558011482795958, 13.71735755284123, 14.076326543850325, 13.785560034234324, 12.566383289311165, 11.036938877040162, 8.785916983186555, 6.085058812047587, 3.6777616279317664, 0.8937352557395299, -1.1689049586951983, -3.0319942673676668, -4.111489705885445, -4.617251005495265, -4.243608883441719, -3.1351626757163107, -1.3307609738841517, 0.8080129307050972, 3.2987568455498835, 5.799149302239302, 8.284313015958338, 10.808814459331236, 12.566452804780024, 13.760861947383358, 14.29068047401582, 14.077830068712537, 12.928113093091202, 11.40708759300954, 9.132040254855138, 6.603873459505637, 4.123181152401887, 1.367979559715976, -0.9534147935570058, -2.7211083414179447, -3.7992795673635613, -4.471669830198545, -4.153711922634943, -3.2029616042517977, -1.5408814731708875, 0.6049901458333788, 3.1305658088276993, 6.033755308806466, 8.416688596147322, 10.647222828758752, 12.677685137771922, 14.016184373025267, 14.573476516320978, 14.10775889449471, 13.378053600667638, 11.851627999338307, 9.426554379511975, 6.970556690022243, 4.2036739747345475, 1.9114433711894203, -0.7538924303041641, -2.5173862181699427, -3.6625886076994467, -4.361838837687425, -4.188469023055446, -3.1504438312448726, -1.2967341069697833, 0.5844599781538108, 3.099595414954339, 5.682219820360089, 8.454665263234526, 10.86559826900432, 12.627145120198378, 14.048382431385486, 14.533993410229781, 14.247946430118276, 13.584131951579158, 12.177362720012317, 9.738985574965461, 7.39259558136248, 4.849406170446182, 2.093806161090222, -0.4005534113664919, -2.1722492431174842, -3.348746964102836, -4.1648575042831055, -3.952645846598543, -3.1986676060708192, -1.5468442138029512, 0.6075248227154267, 3.067841328062765, 5.679868800578384, 8.40257772735387, 10.81673362994417, 12.779437250048193, 14.040609673690488, 14.670696274415484, 14.838172114064136, 13.818750612764921, 12.264291810935008, 10.071676351171776, 7.666810738470945, 5.046113676204733, 2.5277727627619164, 0.05661566961686735, -1.8700763641635052, -3.392545453966248, -3.7888634180236505, -3.9303466337360415, -3.0128404896784358, -1.5869774802458325, 0.4986947668214641, 2.912165991702205, 5.681647719797216, 8.20053765475381, 10.750499620856928, 12.707653278453826, 14.202735956261202, 14.938958951526873, 14.809045744225195, 14.103095237486961, 12.561157978756519, 10.70888479386073, 8.108133158746014, 5.48225673660988, 2.8185401693393, 0.3722493969337878, -1.3586779582943578, -2.9467819338167045, -3.7319502758304575, -3.779337134510926, -2.8629598126809337, -1.5812924284585363, 0.5072148504798291, 3.149676561919065, 5.4851866990025835, 8.291126269622977, 10.714066630816363, 12.781655482180618, 14.175867926086338, 14.934517935591488, 15.056775369296597, 14.277243333017756, 12.684503815365874, 10.84968692463338, 8.4947732328037, 5.78677287254296, 3.263739145969183, 0.7262099535803038, -1.2525338262540657, -2.5196598616900348, -3.4198799911806432, -3.542051667736106, -2.726087307361524, -1.5224836799881054, 0.4566199173636001, 2.7632633111893585, 5.637657576298198, 8.369902435313179, 10.739055990131542, 12.876218363018797, 13.990099611565023, 15.349744751195766, 15.211372992087426, 14.809589683636231, 13.398158632798426, 11.361079365673428, 8.872847661743121, 6.302399713765021, 3.4423526637096087, 1.2544377879612463, -1.1856156794191786, -2.5022208637184056, -3.1864678480832382, -3.39296451256, -2.987505590393919, -1.6333523040457818, 0.3740520208560705, 2.81786609717103, 5.526602385049479, 8.17022355872325, 10.502626555787106, 12.796623506391619, 14.390753721678552, 15.281060852460092, 15.651649562506446, 14.892509135870803, 13.624657851349017, 11.819857413637756, 9.371043823388353, 6.6232432506681365, 4.143700104173565, 1.4834624518599153, -0.7061793473759865, -2.292897882210298, -3.0102830209116678, -3.261184192637568, -2.650646036690351, -1.416422042731469, 0.42694068475969027, 2.7849316004701192, 5.427475171484801, 7.983875227357101, 10.436863801122342, 12.683035733158409, 14.421994751564798, 15.27828752964009, 15.793146116814295, 15.104574189699672, 13.838176367431366, 11.916690680021711, 9.754524657015832, 6.948543100749381, 4.438305620296799, 1.845026978446036, -0.2696045353727893, -1.8804297945050195, -3.035053734532227, -3.3427981017633224, -2.7667721546600563, -1.3660444982491609, 0.42306750973663476, 2.6579697598167566, 5.495056244499099, 8.105792890096172, 10.624959286207002, 12.651949059527421, 14.515222320706272, 15.48246314970837, 15.678631326844693, 15.285246386043893, 14.016123155376054, 12.2475355336699, 9.923359590582207, 7.5562574435438785, 4.7880216985237185, 2.162008831732739, 0.10018532924882818, -1.649841168655301, -2.596981425170764, -3.009183875472869, -2.7288178985574643, -1.4740269870328273, 0.2512810280293321, 2.7018475673874938, 5.337155155670297, 7.755025270943728, 10.460334327080217, 12.82859354116191, 14.295595212526637, 15.504703776320637, 15.915822088643104, 15.632202292373444, 14.463481115206841, 12.73174458083694, 10.47062744454386, 7.813490821726535, 5.348790469590993, 2.5591523323110947, 0.10457426711091089, -1.546128911461594, -2.4897753780872645, -2.8967967653029856, -2.544799417878922, -1.3749835679427695, 0.47194593299348475, 2.64052255430237, 5.224763736310364, 7.732704277450188, 10.370587120462968, 12.768532871622977, 14.497010407926403, 15.690253161020285, 16.136515864978634, 15.766429511338623, 14.851477400999586, 12.93793507623592, 10.698726687721132, 8.06370769547156, 5.649457184779842, 2.9416717063112667, 0.846700769460998, -1.052586235355196, -2.2825719987754804, -2.8045419286617768, -2.307107063190882, -1.3562354602497306, 0.3673482021105739, 2.6075501611218526, 5.11855410097102, 7.686218418470383, 10.42211135995331, 12.762031986247687, 14.552197494137395, 15.794691856621748, 16.30130823364659, 15.929069364392335, 14.929360002529855, 13.544200619818739, 11.280989831151446, 8.623845170275025, 6.033699939699524, 3.2795740204015624, 1.0015074058559108, -0.9086798186477663, -1.985314671335085, -2.4990910457393958, -2.1784654253491964, -1.3280109400423252, 0.43975749509751083, 2.5669227774487005, 5.270980270134008, 7.867825411585096, 10.464485689361808, 12.741538537452127, 14.452057871312373, 15.84425816897382, 16.601435718629478, 16.232713639538925, 15.165049437499805, 13.681635259981567, 11.414629881569983, 8.930430581743813, 6.398061305202638, 3.8240647624011967, 1.3264001386742228, -0.5419327392944039, -1.9163449101345376, -2.365825814816569, -2.371001597489746, -1.28773072931781, 0.3375543574237484, 2.283241316693996, 4.858555164869346, 7.624553655006182, 10.238860561180582, 12.6174462264407, 14.591009516008501, 15.725990345360671, 16.589796256457994, 16.357933435489244, 15.45713296537287, 13.784052156001064, 11.8492842500651, 9.453423460034191, 6.7626778094597135, 4.145930952740582, 1.7204750447188093, -0.18948400175997163, -1.638962679664254, -2.171770608361753, -2.109490662762357, -1.3162854087728197, 0.40563269972599203, 2.2612951083805286, 4.947215298471336, 7.618401490433515, 10.147136472571377, 12.70670174695573, 14.523608355248294, 15.904930693146499, 16.535479454132147, 16.591166819736728, 15.68536039474259, 14.209757743163783, 12.22910939178735, 9.784690182048923, 7.2661185554583145, 4.602532626687038, 2.160942760135161, 0.1089143242707643, -1.3178611102348858, -1.9866923122582725, -1.994394367028434, -1.21480409716032, 0.32700824271532875, 2.2938386519801943, 4.750017692486609, 7.584112373385526, 10.001460613616826, 12.467641728857659, 14.717597251273089, 15.994480682341257, 16.924051415694358, 16.67187145931011, 16.047963211782502 ]
[ 0.07718272163986968, 0.2425608757503499, 0.8259438880750989, 0.9294032191949577, 1.3065976699058306, 1.4457445947760292, 1.885171761040413, 1.9482368568181372, 2.2647471563274757, 2.2621364270195343, 2.2672394858084917, 2.0766221444360946, 2.1188092074545697, 1.9683381966774383, 1.8462630303512635, 1.6599534881121139, 1.3194166021328169, 1.1266429044968156, 0.8404750705766089, 0.43899748280307227, 0.2995761040587233, -0.08133167990326622, -0.3401718455609855, -0.6777921874488421, -1.1825981727007668, -1.35208063945627, -1.3274726644878985, -1.5993912243251331, -1.981694003139884, -1.867179030806974, -2.042657303777942, -2.163827382623022, -1.7325930186442526, -1.7855402974301466, -1.6191341861672701, -1.570764661100768, -1.3256856099228027, -1.1013093357141233, -0.5049700540561227, -0.49517881512887224, 0.15960549611596347, 0.23327380823438504, 0.5406096182127874, 0.9789671394833709, 1.2193313303409679, 1.5757777563343116, 1.7251778307407024, 1.9911902623005664, 2.1142805435298153, 2.3978984375322745, 2.436001152779546, 2.4321728683135184, 2.484707119328522, 2.327709207501798, 2.193384495724859, 1.9928254100101008, 1.7219106563621105, 1.4754069990044716, 1.285366889646869, 1.0735646402171044, 0.7144541236297105, 0.39166564183620456, -0.0976786048770916, -0.24929343968779383, -0.6406364172274202, -0.859651266946559, -1.0691867330258789, -1.451809071784119, -1.491710075889629, -1.6103389693555108, -1.6127256716145455, -1.7930070681497952, -1.7254634093613155, -1.630053543585268, -1.5777139988294888, -1.412555472036808, -1.2073074787248224, -0.9163359858640979, -0.450941833976218, -0.3319009617143303, 0.04697562844702062, 0.33274004038576305, 0.6328687014810186, 0.9900971648291137, 1.3854981577812053, 1.5990167093647736, 1.8569074310411011, 2.084729913950342, 2.2051621922578692, 2.5613730585383188, 2.51856435713054, 2.766740663202779, 2.650243137208152, 2.721752739828603, 2.467172976580338, 2.272832843884143, 2.265925926824459, 1.8819492405716278, 1.8095016025504718, 1.4544202464166474, 1.238203872952543, 0.6763168197611544, 0.546518624048921, 0.05601935282190085, -0.41963315048592287, -0.38287429267688394, -0.7406755698964209, -0.8799542481788699, -1.165990384862034, -1.3300060485487102, -1.2934422768371134, -1.4937641581540686, -1.565230394664914, -1.4878927905476504, -1.374744369049733, -1.5384835956693408, -1.0235959655736548, -0.7148710004641251, -0.5982385539078803, -0.348518405528972, 0.04200284044570361, 0.5027752871557674, 0.7084444568895876, 1.0161725460756132, 1.2811865602288472, 1.5234799741815162, 1.9203730665910068, 2.180489870243919, 2.2060971358474686, 2.509096948258257, 2.8354074866200327, 2.783587103217317, 2.6038001893116465, 2.9987825327459534, 2.688475166955085, 2.620823167411852, 2.618306651268889, 2.239953023011024, 1.881935514944288, 1.8338843271049847, 1.5999181974190055, 1.1634217596350018, 0.8776514460758063, 0.4488249220382928, 0.1492192859334325, -0.08864323573833624, -0.2766571362214114, -0.5896659997184899, -0.7219723944501089, -0.8442806313407004, -1.0632271184390025, -1.40618339782358, -1.3215276551346042, -1.200848357216365, -1.2453153522219118, -1.290707220724211, -1.0323437909105795, -1.0092059039546613, -0.5754862802591232, -0.3484149308948511, -0.0208326051811506, 0.4489749155852336, 0.526336166583179, 0.9216590657748882, 1.2108385853771493, 1.7534456743004985, 2.062973145137697, 2.2645345063492215, 2.506665912003382, 2.5659848748756064, 2.8741148291029264, 2.864301826239425, 3.0542459415436336, 3.0391382606779485, 2.9866898041418586, 2.9716387924603014, 2.9112766700874526, 2.850991491521931, 2.5177747452293016, 2.4441911458966956, 1.960682294191352, 1.82035720333174, 1.3713294805169693, 1.0295904254955406, 0.6664703814633822, 0.3985336121565417, 0.11238544484474947, -0.34937854568714943, -0.38522910639676555, -0.8159479003842192, -0.7692710354385592, -0.906635062748835, -0.9036920561164071, -1.1614390880300154, -1.1526461722657442, -0.8715893270130879, -0.9694264825373294, -0.8128784953862407, -0.46612436542934205, -0.24574255912793688, 0.051991262247618936, 0.39289348406362123, 0.7141737396083375, 0.9833248908807143, 1.3299840784853996, 1.6474870463525835, 1.9739832701699906, 2.1278314396410543, 2.6112627993966817, 2.876223186257935, 3.0319233769839466, 3.1776969554578125, 3.1291328832080874, 3.1438859606536127, 3.375159305300741, 3.2509960937052784, 3.1717490644427904, 3.035842282099814, 2.85611067443592, 2.6719991479173717, 2.341112406286394, 1.8760706304036678, 1.830856254190831, 1.5021014923625995, 0.9918054620368238, 0.6840056672665311, 0.5784350219572172, 0.3092791353585935, -0.3369427314067149, -0.2631188049702575, -0.5288000234010561, -0.6568764071159547, -0.7628647831940015, -0.9152582678414661, -0.7865482595509601, -0.8826871605485747, -0.6512872477502393, -0.4932245819307874, -0.4966110667509218, -0.2727383101999962, 0.08038026021217914, 0.5059227367667438, 0.6056947161320086, 0.9496809231835865, 1.3551571748884748, 1.7219889695140114, 2.0346722987080588, 2.2956462702939002, 2.5498186938331315, 2.872290162866344, 2.742538960111361, 3.4325669570692665, 3.365434221558476, 3.492779562163129, 3.725158051022591, 3.4310558695927913, 3.678031224475654, 3.4096515767055364, 3.225168473936907, 3.0475223829644564, 2.664222529801818, 2.3170561478693594, 2.072304354013965, 1.9893850461428502, 1.4667796168056757, 1.0717803867215734, 0.9110991273259711, 0.6710369511243814, 0.3320689855465665, 0.13050797585879015, -0.03965241770055025, -0.28424753654830504, -0.49963530117983806, -0.63461673125801, -0.5497441971872793, -0.5953767411101152, -0.6544754279710612, -0.33424657866371815, -0.2872355049192957, -0.05353543929540086, 0.07570270445227731, 0.4953765129843509, 0.518599541510619, 1.1600528806574502, 1.1271426369965665, 1.5173484764848262, 2.011813267294258, 2.2550409034061376, 2.579108849819274, 2.8378909914524146, 3.0604661017557, 3.3811889332974094, 3.5134074466493495, 3.729684385025088, 3.7235222397766603, 3.6978544515159824, 3.790298309624947, 3.4529933438049225, 3.2534143000516207, 3.183281177620371, 3.0974583700403953, 2.9251145182172453, 2.343402740547866, 2.3109991144297695, 1.9626651602205312, 1.6897152910593853, 1.1628925507625778, 1.3003531133209212, 0.742425678643201, 0.3402458640451671, 0.22686976871952705, 0.1505827165258841, -0.2999826721316038, -0.4485671335273985, -0.39083935002175135, -0.41239917891876204, -0.3175801771363758, -0.17004220554971083, -0.11984122268271716, -0.17082061549627062, 0.06887354514778071, 0.341592580859321, 0.776334150011192, 1.0616089540684677, 1.4476194128326816, 1.7084554649509776, 1.9239681194048415, 2.296171816301477, 2.486202218099934, 2.9915986858454224, 3.1356346484826116, 3.5568551835398488, 3.6918724778537158, 3.97972060633766, 3.93509861643336, 3.9911218891213185, 3.9401064510622983, 3.876647695973552, 3.796550629855343, 3.7825424829801464, 3.364339456765791, 3.2829660665112588, 2.8537244085373077, 2.7739048581520174, 2.386418429426444, 2.1650908689177997, 1.717422927000923, 1.4452306309605245, 1.2235012899838635, 0.8798021674351507, 0.753163093160465, 0.3136415913344654, 0.1049298026755045, 0.12725546377225316, -0.1454822729044268, -0.21380712294433454, -0.1476307908572278, -0.1650654215994833, -0.09261460489898588, 0.0044719088968955545, 0.3901560709087285, 0.45977085791064715, 0.6751596470327027, 0.9878726085361548, 1.362200151659667, 1.7977104566090232, 1.9676630747336261, 2.2316058568338604, 2.8355907918778147, 2.9679551925562175, 3.2321108009582846, 3.5090605937593886, 3.6013316601167373, 3.9049591115864386, 4.124460327993856, 4.261708434231831, 4.145227069529319, 4.190495071298809, 4.235801304046813, 4.007265517099841, 3.9208874805800744, 3.694528961021118, 3.3513771179613645, 3.060157802344444, 2.966396279912893, 2.2834887880713675, 2.163874907430559, 1.7680467644040807, 1.6953776456966678, 1.420090759421351, 0.9254977471562407, 1.0156784164428665, 0.6513985525356227, 0.34661438836493047, 0.333431809613172, 0.022653300736108925, 0.011850691954209638, 0.08906185236390293, 0.02736716227729595, 0.07142109635445998, 0.25645102782356094, 0.524645935816396, 0.8244835158674024, 1.0107487684135417, 1.1750582574055726, 1.7012133168603265, 2.1099152749125873, 2.2505457664298905, 2.814522868039835, 3.0568050565191753, 3.168614327636885, 3.4886764233842325, 3.770405568059026, 3.9944283468332356, 3.938484983703427, 4.230584284046156, 4.325510954600325, 4.594645650563402, 4.402279931205554, 4.223815343704649, 4.135764686151056, 4.053182302430463, 3.7631429606392324, 3.4970032229792545, 3.225126392875413, 3.0303219758698376, 2.530301834389054, 2.237736703473503, 1.9312452105118154, 1.5986227708262124, 1.3267630666172654, 1.2212522941137762, 0.9867278084428326, 0.6969240108268323, 0.5182421352038968, 0.30136720194052236, 0.07964587329462422, 0.27136546440626286, 0.30667743212353965, 0.27981359934081124, 0.35866116830973527, 0.5041174580983039, 0.8557120160932629, 1.0921149009915028, 1.4801377153974136, 1.5822148832440897, 1.9542971656879538, 2.3158966323931236, 2.593274910229364, 3.0614174771889284, 3.418043899100397, 3.4804305620433387, 3.815043069558405, 4.229979279334955, 4.3278135882482545, 4.461907295675961, 4.592160086861488, 4.682197088938296, 4.66355367436273, 4.603421777191842, 4.490984707164173, 4.485676703386332, 4.141360056424392, 3.946039164830029, 3.8452541948036156, 3.439203601255668, 3.095866093737928, 2.848184177007273, 2.4848049418682, 2.0673369235037646, 1.854908840501497, 1.4561840898013716, 1.4510291263762265, 1.0546799744014592, 0.7363794439195003, 0.6321906746870919, 0.6344320262525256, 0.38496967810250904, 0.7519890985081313, 0.37099598330552236, 0.6956426385758344, 0.6890177433638026, 0.836363132635801, 1.1914164734771941, 1.3483439691706773, 1.8387243356002003, 1.8483240691613392, 2.3693928695643245, 2.61857782417301, 3.009086165964109, 3.356838889212178, 3.443217342859415, 3.9284318756595082, 4.2735453028271495, 4.435790704476079, 4.536472584872155, 4.571595036167497, 4.85562896707828, 5.03447762866324, 4.904390208489391, 4.894951386699327, 4.764633056708123, 4.478049933374123, 4.330105115415092, 4.174084906441323, 3.6636140752051625, 3.595748571386642, 3.3471505145532743, 2.896001153294074, 2.6593662691217754, 2.2041308525053993, 1.9574855911724771, 1.6403518443502536, 1.4544942684085727, 1.172062063574784, 0.8275630796875206, 0.7792915489380009, 0.9480970834952998, 0.7626069372227829, 0.4986068881455278, 0.8823343397153367, 0.74889553010964, 1.1032977182454464, 1.3366859550299206, 1.4503745694078378, 1.6070863643238487, 1.9294370182269376, 2.3787876352604287, 2.5305817215308166, 2.9198801005069273, 3.361144940586136, 3.566598288297822, 4.078191860359796, 4.112121063521657, 4.135811060059865, 4.598591126206416, 4.877386248882478, 5.056923574609224, 5.005395681419521, 5.0439110269158505, 5.043225483680138, 5.145199117275277, 4.885514986715543, 4.629998938258307, 4.675236138868926, 4.226223380022824, 3.7428379999450816, 3.5138521843643318, 3.3946459141356766, 2.8391114187277036, 2.7441751114225457, 2.3012438068055485, 2.196853626132295, 1.8179250026379954, 1.3885629755592854, 1.4298375787938966, 1.3012073461778637, 0.9081430567849477, 0.8742759669901371, 0.9733371755463683, 1.0105089158760259, 1.2472671828910558, 1.2194772895674109, 1.5350560921831324, 1.5038671044830347, 1.784794793008604, 1.9659893070685646, 2.2723230751012435, 2.659427611950976, 2.917459166210403, 3.0533969067365643, 3.5724975299962387, 4.0637799554604115, 4.260466268753495, 4.531297029645631, 4.684270652145901, 4.992438733946374, 5.280308852460633, 5.363014714818794, 5.318779387425187, 5.205534664615539, 5.425730050910713, 5.2635542520072285, 4.8709884841813205, 4.661089841918333, 4.472648265546907, 4.310380272335671, 4.166829061887047, 3.8605706611783996, 3.4895613029619117, 3.1184342284644027, 3.0487010445701213, 2.50393367889278, 2.19821356411734, 1.887067856842707, 1.9210144314961477, 1.5707694318999212, 1.235890795297069, 1.1104245799183075, 0.9926558975650424, 1.1361585675507213, 1.0318839830886484, 1.1508628664814942, 1.5084281914204503, 1.6696830347479015, 1.9495980682200298, 1.9090782732083567, 2.2413493302273877, 2.587344940234952, 3.1387579867671036, 3.313913451545273, 3.8232324651503635, 4.029896624148352, 4.267112086199161, 4.624737289486943, 4.654458283788758, 4.846995214471542, 5.263117223904186, 5.378882992522721, 5.663324105098803, 5.374781473415238, 5.541942933647676, 5.515874002149583, 5.373422988840242, 5.295662503918016, 4.926770722084316, 4.839877821628587, 4.547548799314098, 4.317266460207513, 3.840447091923769, 3.452916073884029, 3.1854970189688427, 2.8235342377507027, 2.5672175420784735, 2.3039717203452765, 1.9867048034306218, 1.852136768383889, 1.545569369103725, 1.5114642341172586, 1.3713530895756354, 1.36008319790872, 1.4134022996038622, 1.384718525751111, 1.4507155534272558, 1.61222537827738, 1.9729302689139478, 2.2304968320654175, 2.317528633121373, 2.647414770585646, 2.807104949483996, 3.2874894235619943, 3.4944426422893855, 3.9226317191054556, 4.40124783322438, 4.44800285914456, 4.788183889900187, 5.0378334205482815, 5.1729774059552, 5.596687064866497, 5.662995879931091, 5.892470942712584, 5.638137326737522, 5.535816612198658, 5.732522010104005, 5.479568426883467, 5.301209094447299, 5.286977028943985, 4.911638069877664, 4.710707473534153, 4.2604531480898515, 3.9366551677835946, 3.650704232681496, 3.431768308436219, 3.0545417990165933, 2.795837731692699, 2.210463402575315, 2.033247781367581, 1.7917166748455668, 1.7950130728444726, 1.5635301109714508, 1.7903290560922733, 1.5870879733464616, 1.6294491079831959, 1.5677338358849962, 1.6824141304991973, 2.113627954603426, 2.343151658923725, 2.450527787367299, 2.4817521471187574, 2.9438630839321296, 3.337673224177607, 3.6144465322952115, 3.759332750155761, 4.485788596484488, 4.534438774890055, 4.781263655910437, 5.182967109969099, 5.54212479975618, 5.674083960019914, 5.647127324395861, 5.739783750310392, 5.7286097480282665, 5.928007140930698, 5.868640084523339, 5.876611210136822, 5.618732488988796, 5.602913640319967, 5.349929593065849, 4.956546153787417, 4.7857842753274005, 4.5759211214953766, 4.029797488487694, 3.7815508813174707, 3.4586150182392505, 3.1349027478923275, 2.9569574861128523, 2.695413468219723, 2.409501974250548, 2.203059839156875, 1.9510129365848519, 1.9260292485272537, 1.6987288961307052, 2.059591858685056, 1.9819778935033106, 2.027831591521372, 2.10635140727841, 2.2848427111105343, 2.294266878325869, 2.5926252135594607, 2.8902008892993094, 3.317787526021497, 3.6081833946917454, 4.050283335368066, 4.206045463097277, 4.731533614355695, 4.8582871675940815, 5.187874170761893, 5.579690886591849, 5.76614404452709, 5.775879542801064, 6.148307402452618, 6.143980309910152, 5.9642560676494405, 6.086914681763887, 6.072541223570467, 5.890009766534512, 5.98844151195438, 5.621476828036494, 5.472089200860244, 5.181860604296035, 4.941358980273909, 4.7291712377143655, 4.309505216202886, 4.093003263929154, 3.670339566774754, 3.3069253334472073, 3.039287520225027, 2.4846440850015696, 2.4746956979021024, 2.317410770361313, 2.230278231463268, 2.0853624325553746, 2.0719560064665434, 1.9074242154195804, 1.9334055508080703, 2.074541355415435, 2.498523670183382, 2.406990636533601, 2.6866707819790494, 3.041781816569715, 3.165624276105057, 3.5519957865484426, 4.034916048550419, 4.257322355167851, 4.801422214971144, 4.785446645157207, 5.225707131241848, 5.4970574474814535, 5.789559451401031, 5.880628310081047, 6.116402994729772, 6.378857049340621, 6.349987198259253, 6.296722237675592, 6.587745271858813, 6.310673562563994, 6.244991498427991, 6.092873710106044, 5.801206825011751, 5.485241294820949, 5.310121639534657, 4.922886825558326, 4.71667237501458, 4.341224820693177, 4.138036113425845, 3.605515646562582, 3.490856993158999, 3.201782899801949, 2.866728070058751, 2.748780819869558, 2.5429347370003077, 2.43748969923344, 2.348533027672381, 2.2603754756983885, 2.2136118680945107, 2.2807168778132487, 2.4371832370479476, 2.7063525752145248, 2.891126604781436, 3.172063026862415, 3.4576841530741547, 3.6265424607358883, 4.164219541259378, 4.288379316906327, 4.583502709034739, 4.995827525081402, 5.328233386398435, 5.503410888793231, 5.832782146040268, 6.042079578305603, 6.300567336539954, 6.522517118024855, 6.526142228889674, 6.6706050191732835, 6.484534134217826, 6.671857654249432, 6.4474666595435774, 6.308359994162168, 6.214343325546548, 5.999014882905973, 5.6878856689495105, 5.327799169569199, 5.065312950207078, 4.805770025977187, 4.522272179110835, 4.069924310305769, 3.776802581278369, 3.572922439580763, 3.2684675728667973, 3.0525107576794164, 2.5742167289725133, 2.6456450751277685, 2.6455678193421246, 2.4322537597290927, 2.526301604054039, 2.3913054790356916, 2.440462973273737, 2.7712312690458627, 2.9018265969413823, 3.092517979222227, 3.465514535244152, 3.634434552301405, 3.9104445097888556, 4.22384100899392, 4.535441358346785, 5.010834004250382, 5.259379835840383, 5.716544227023619, 5.596749135296267, 6.245174084183884, 6.414893832251861, 6.555768298793777, 6.577209856582656, 6.634204185834712, 6.919376810917177, 6.861873517476427, 6.802974554025781, 6.664489985149608, 6.607545605100627, 6.269303417793218, 6.061840792455, 5.813343163555967, 5.519518483353363, 5.365824136429863, 4.786889524152062, 4.3936748325259245, 4.12498830183084, 4.032197632054309, 3.666811175699642, 3.256651898075605, 3.1990366152622203, 2.967676314091792, 2.9101193194588526, 2.8343871015754174, 2.9567556362539906, 2.5872140787202103, 2.5702710692101802, 2.9161177146769353, 3.103809482982094, 3.0693808543618313, 3.3007305589696454, 3.7279561070975302, 4.158157160093435, 4.213257323949834, 4.637500006574132, 4.772740170929057, 5.274821391017283, 5.6057259850863925, 6.069091668189988, 6.132612119252073, 6.521996896644164, 6.58956278510253, 6.8475099383128315, 7.172340596924685, 7.221570111537587, 7.265768421986862, 7.086196829484138, 6.952102000257276, 6.880146330996144, 6.731644400313338, 6.516315745596197, 6.162625361414543, 5.8849556208684595, 5.60344936653823, 5.456891351550546, 5.145959745438385, 5.023802270143642, 4.432446868575508, 4.0101300828090745, 3.7621393464536044, 3.544072340486287, 3.4950701268429683, 3.242450439136415, 2.903580789127093, 2.949323984273159, 2.774362008803584, 2.9979413287471135, 2.935599898576913, 3.061667852543858, 3.0977070122006523, 3.566581730910009, 3.854856691823464, 3.939896178281778, 4.293874585655717, 4.581679599056098, 4.938486100936942, 5.212468988811432, 5.514124051422907, 6.078594589294367, 5.975778805431585, 6.561645373260493, 6.778180181507281, 7.115427798316187, 7.083523926605025, 7.180483927187265, 7.198044087189271, 7.325217308183651, 7.17897676591445, 7.047508069836495, 6.949972372658887, 6.748387269398218, 6.522386423563141, 6.377324420613108, 6.067233775613109, 5.838472556882733, 5.481345389228765, 5.023420634401585, 4.610291287814627, 4.405346623433018, 4.292869389629052, 4.020392151885959, 3.805361662066616, 3.587956950720915, 3.4517617109807097, 3.2681457849582665, 3.340739918928297, 3.1729347548657256, 3.377344150033582, 3.198674973543811, 3.3281956480237747, 3.5513909079268102, 3.7851929642803386, 4.011130494028902, 4.381610440289161, 4.625231297864331, 4.8987945699324325, 5.252598566034217, 5.747499261479662, 5.984020905712698, 6.096627361087231, 6.705351256441062, 6.858978197637054, 7.106088908866098, 7.321575312216005, 7.468865535158182, 7.373381709962292, 7.40302803858036, 7.743765757731131, 7.37798478036973, 7.380387430111208, 7.354098172118589, 6.952471005481009, 6.728873611830473, 6.593445334634666, 6.232268492783515, 5.951976816827212, 5.574688202284148, 5.20688612250714, 4.907375589496001, 4.7532941076892135, 4.3170783405581075, 4.128745341328593, 3.761055962506171, 3.8724164598441533, 3.5537629257509207, 3.455977715828831, 3.46394816861768, 3.3230347787396393, 3.5409381907446433, 3.3699354776120156, 3.6074381784142626, 3.7800044901162146, 3.9028220381438214, 4.302909072311308, 4.64343986191263, 4.853616772015015, 5.166917557570667, 5.628289874870696, 5.948285391725908, 6.252301694507447, 6.457790184795448, 6.826265206575876, 7.049624710940907, 7.338753529847427 ]
83
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Amplitude" ]
Amplitude refers to the height of the peak and the depth of the trough in the cyclic component. You should check the height of the peak and the depth of the trough for both time series.
Similarity Analysis
Shape
434
null
What is the most likely autocorrelation at lag 1 for the given time series?
[ "Negative autocorrelation around -0.8", "High positive autocorrelation around 0.8", "No autocorrelation" ]
High positive autocorrelation around 0.8
multiple_choice
null
null
45
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Autocorrelation" ]
While it is hard to directly measure the autocorrelation for higher order lags, the autocorrelation at lag 1 can be approximated by observing the time series pattern. You can tell this by checking the sign and magnitude changes at each step compared to the previous step.
Pattern Recognition
AR/MA recognition
435
[ 4.895903128151519, 12.578883758823013, -8.127532989354515, -11.152967858066429, -0.5569348600188864, -14.17586598026784, -28.064931444274013, -23.803471965102844, -13.14920572933815, -12.407041374495352, 9.512976529930384, 1.6371577632546517, -0.40999085919950695, 12.943179022676505, 18.34641833136886, 6.8742375868135674, 2.666959011436484, 9.200359749453899, 2.926547260252505, 19.257800442129398, 12.525989934209289, 7.7847903686456865, 15.933131616572735, 22.91051391425772, 21.954727238284036, 2.9389742867889517, 3.7028886439577358, 8.877226801216983, 3.706201456477373, -0.5527262457083877, 15.441740113388045, 17.116823217907747, 22.870129853218785, 16.232588507864445, -2.8736289062245426, -9.036164576743767, -24.27962981883818, -18.320930339711424, -6.057523128325453, 10.295266930600786, 12.413036377038939, -0.5535069207760479, -8.926618768017606, -9.438133925339159, -8.405949890833213, -5.497704101975859, -3.1868034488665966, -10.14792169428908, -0.35684434555524724, 6.46353642715519, 9.127125169119289, -3.5050564527859533, 8.42564309074895, 16.694871437145476, 6.347034189537456, 15.99795023086239, 14.593682602879857, -2.424574800044443, 18.517793805289823, -5.394108057153607, 4.27441833283233, 8.139323049637262, 17.937247760780544, 7.012510612825899, 5.2581991854982055, 2.4579192530352123, 6.533345619523188, -6.873708961147623, -10.479187407046593, 4.453094378337019, 17.311579403836184, 2.1108457682845927, 3.171998884966829, -10.427570696932317, -10.839071426494474, -10.043386474503667, -5.6143908132281135, -4.182912085001297, 4.321324818552298, 13.332035759290854, 14.192139866053019, 11.851865248407066, 5.3450265072572, -13.077206177503088, -5.665584607995103, 18.942607477475107, -9.817863329320561, -21.54366248096349, -19.584637586653287, -25.016849189984406, -33.0845591007714, -28.54726326016946, -32.21753941008737, -19.92464076130129, -18.10744839455953, -12.425909509726182, -0.5150856108511519, 10.886972599629317, -2.119989027562294, -14.942004544127498, -25.77604752846848, -12.852143781294973, -12.726261832003093, -10.729537310954342, -15.54887984647203, -13.88031310155826, -14.750444784059347, -35.36590849774002, -33.53348448371218, -34.27730788787131, -42.628767200737414, -26.680745875305476, -31.32423713469735, -33.15138471993807, -29.17491651427097, -21.641516544047462, -13.868542417314599, -27.603989165761696, -14.08401063178805, -22.1415620933922, -10.975147030732758, 3.710725048830703, -1.1321157540693996, -2.467600571885617, 10.154115153087874, 6.371451984049079, 5.201669305362636, 10.29966177724223, -0.4637703460029172, -4.969935143093546, -0.7526161896266093, -4.25021069950429, -2.0385130364368744, -17.905100491523505, -4.905580967365404, -3.1398516851175646, -2.4922411170188297, -6.494509873817025, -9.630545266086083, 1.8410430060752603, -4.532966390648957, 5.657492271784629, 8.328800386511691, 5.230188555932706, 4.1856305409835555, 4.256187770958062, 25.80211731237966, 36.94507561915194, 31.67195693610913, 26.159807051586228, 19.775782757599224, 18.238828661882863, 14.974037880361292, 16.333558246614903, -5.360335395055694, -6.431374743753774, -17.872648653109266, -6.7321672021149555, -1.8796644211582043, 1.9847912175346283, -8.110629049509956, -6.260512035446547, 0.49455665880712196, -1.8202269679043277, 16.556343502644953, 23.156275236187916, 33.981603357190465, 14.861029370806355, 16.174304995445567, -6.170482325257231, -9.332969965650552, -10.42221457190642, 11.846352744352634, 15.415174613979314, 3.7390280615386082, -4.493004580935146, 3.0498704131169814, -9.482503667317335, 3.3308147888151014, -4.8153308780147865, -3.516946009929203, -15.507096481007947, -8.741598660790046, 10.89777238642036, 19.300676062837358, 11.609919250301552, 6.560852589242144, -11.301991804230184, -9.00062572974658, 2.7246561105862934, -2.2703591998276678, 9.11214291767349, 14.877767713788453, 3.50955678517996, 2.024216025258146, -13.312499377232387, -23.45484126178646, -6.01167715286295, 7.7401004462525895, 7.471397014023291, 11.595166595247878, 13.197319930687495, 15.4315144175909, -9.061893786578803, -2.7792731946058327, -5.41856238481596, 6.334752244180094, 2.1569873188697763, 5.32013113958077, 5.054935185356008, 4.068344871776187, -2.8161560016698184, -15.555797374487383, -22.465089483389832, -31.61744137452059, -25.359015442812268, -24.562206753573925, -32.58287154073447, -18.80568277123149, -8.07797020982944, -10.509083621905326, -6.80299987069037, -0.8219544936627745, -1.2758419971840678, 5.985131959991474, 2.139680596794519, -10.211593057093044, -12.617143244771745, 2.0242611555317858, -11.420481105999059, -8.31930889227405, -16.25148291041224, -30.49723703217723, -12.143166877721328, -15.882699624168936, -29.77905603467014, -13.889683955286724, -34.6301394087704, -33.26638205056643, -28.723435286946483, -30.44376676457708, -19.8704402825613, -17.02395146694478, -27.125242535378195, -35.73622457064323, -41.847396467046714, -31.36900539400319, -14.086586447619233, -16.207670178198594, -23.662158833833836, -23.77312920469473, -8.10135682271457, -5.647790968777369, -13.255465210413238, -11.387412999156062, -16.476158917115285, -26.637376565234582, -23.890764103984104, 10.758210724361234, 5.4713743185806205, -1.2880712420081961, -12.370531984164836, 2.3753522205151842, 7.306290426587564, -0.497448427085895, -16.90286854693664, -11.533255069816937, -3.5606082729398345, 8.1001716997851, 1.4567047616970328, -0.7348947130748671, 0.7160479646270378, -16.359539161865456, -7.98682122867598, -29.92777159792861, -35.9305977652256, -38.717771711389254, -34.38936296730664, -27.829444273971543, -20.692557107368387, -33.0740269293884, -37.3217701896302, -16.648481119432553, -17.360348755245834, -16.947649769769278, -15.146356099197762, -24.898012059366685, -17.80991872315593, -13.273105837704463, -7.253455371618314, -9.299827638917968, 1.9779963564029526, -8.543261958535066, -12.362160355707804, -7.7457803820108175, 1.4229173697677524, -14.26329201185273, -1.6606388381095822, 3.2510758335232754, -9.703881535820303, -30.412180489850968, -42.79559719110408, -45.72471981652305, -34.596137194257125, -26.83692882168617, -33.6329511506702, -38.13076881636796, -23.987652987059164, -16.896361668326236, -12.36895292804529, -7.847337932924414, -8.301654833461303, -23.58708955035663, -22.245457228133255, -31.625486425501357, -18.358167774819073, -19.46790800575758, -11.089203396560398, 2.1903410180381986, 18.392178930999695, 9.387983038901275, 15.862356857827256, 1.6288618473448526, 11.145146449086582, -1.2309049630887188, 0.9305627990791857, 17.464120970620957, 20.673761039071007, 7.725641389901069, 12.985807160872225, 17.02571555117153, 10.79143513219434, 5.650854548383127, -11.321555163028162, 8.995064932074245, 12.6393013059727, 8.743140745144894, 7.1830031283747315, 7.137955373312113, 5.8633400726256095, 3.3630899216014836, 1.9389201339114814, 12.425555152902996, 21.422444734935336, 10.989406938166383, 20.253857743926282, 28.141690053240694, 33.60428011539608, 47.67983424892894, 34.331955566112796, 28.0771960036502, 5.8975038420695896, -0.879307049982466, -10.836857615051395, -7.544698333757818, 9.952953160288871, 23.34051312523281, 24.247384598926406, 14.766396495820903, 11.729872766561337, 21.232248337573886, 20.013695142894825, 15.450988124644168, 8.912980736437472, 30.95949614643107, 32.92174392086751, 35.377365491817386, 25.3170914933487, 38.07055018510424, 48.62889847205161, 47.285106142459526, 30.123975518575133, 40.96766109832516, 23.92468350450244, 25.91517744788195, 24.63005869849245, 23.516962375317206, 2.3484420772440444, -4.702152632088543, -2.28178519755234, 4.648764821216103, 11.379706236944093, 1.017924917547619, -13.08911693586741, -11.667958730168985, -12.736575180096725, 0.27653161755036315, 14.647725796853905, 27.851376032739765, 29.045525054125, 10.13734073926235, 13.308977406931405, -13.168605740688596, -6.127439337668109, -9.828753019530778, -15.741072540611754, -2.847474568443406, 4.3018390818802175, -5.825982406002258, -4.816531146857378, -13.742237892209184, -10.441766071237636, -5.660096430089817, -12.18416603697559, 15.995658043814728, 8.63528015932155, 21.85654254406455, 14.307490935194883, 11.59964938144309, 13.91782601807406, 8.945884008627488, 22.00487645311866, 33.73187272459264, 31.041790757324236, 18.96442274907345, 9.414527775160439, 9.060912759572728, 9.571136276631595, -13.177780398152612, -7.822690608024864, -7.325339889845017, 12.387598169496885, 28.963759963457157, 16.10774913265863, 27.637982888541337, 22.976717791398467, 7.549181640894329, 0.059477565762587226, 1.4161627769597496, -6.483160053861017, 17.384250050113977, 3.005565558777832, 7.900158900799351, 1.9689455018761741, 0.10034145552559237, -11.54643534874891, -25.413617649425056, -16.27995901537357, 0.41370980255129197, -1.7578807448613132, -3.628646223534672, -4.832875254622291, -5.8469541961610005, -1.3192210051287145, -2.049614066708882, 2.6614087221486953, -1.8313811935078452, 2.5740275538288104, 29.539720342404884, 11.597681150168302, 22.164778770408443, 9.271105188829797, 6.07794536934826, 17.320906998108537, 24.266472523084822, 7.691925384049291, 6.756892907160632, 12.487959182580997, 21.692823199913867, 12.623406122208513, 10.625519704347333, 16.05850646310214, 22.975876647276625, 26.013764923083816, 34.03399409402709, 36.39185737607566, 16.686319878435047, 10.766131630170989, -1.1380629024767561, -19.84148482708629, -18.542846982311183, -22.6611192060224, -14.267828004200593, -3.309185883321984, -23.19411190382308, -19.426648230410162, -4.505719480183169, 13.49289978446074, 8.41282394841125, 30.210347442291564, 33.6058708446223, 42.87652059085755, 19.392868902570957, -4.196919242482977, -9.820463631373514, -18.909171271010727, -6.846292523918242, -26.441046589869913, -11.703743563583439, 2.4979229341044853, 14.0231493535542, 23.098109081997166, 45.083825353340245, 33.0936883578855, 20.571017107592247, 17.16824885042557, 28.402859433502492, 28.530537008670052, 27.752174206887222, 24.99829120991534, 26.91421652827676, 24.200159055799908, 9.8315259661416, 8.409358379388621, -0.13386591486039734, 23.05061245275438, 22.23463092040379, 18.13670535888796, 32.64087566568237, 27.362964898343925, 23.11764961042315, 7.002337409118693, 4.214244575675395, -2.4353601342164133, -11.691414461956809, 7.722558384337697, 14.756834701508968, 24.0199874788226, 30.18697613612386, 34.707067238929355, 34.49450549377006, 22.68553754022082, 12.668606322345871, 2.2579172939060594, -9.530261777489152, 1.187862268927458, 2.170532949972335, 7.073247957007991, 11.793997434073958, -9.81292647673966, 15.84843102095389, 4.214078527808466, 0.07399702390963236, -3.8954074426877807, -8.887143738411728, -6.951603993707322, 5.096101609337731, 8.901744136302518, 9.985581118178713, 14.351720544127117, 16.686373687719072, -1.6918794976375633, -9.51637303482419, 0.9185122734733504, 6.21574354449342, -6.720821049814867, -6.957470017328648, -5.166651433108577, -25.503350143157775, -36.533219506727875, -34.74929197777848, -34.61652234420263, -17.128502165503583, -10.20993309804124, 1.7527444157690564, 7.0015382777237996, 22.808866825513192, 19.11063485829974, 17.949348675504122, 20.80466418509086, 36.34888539079523, 30.34676163858201, 27.25782786558639, 16.36481071195058, 20.094467238908337, 36.59600812080443, 24.019352637059235, 17.674342102964143, 10.86678650496674, -2.5965701969153496, -7.457873557816668, 11.727825334396034, -8.367579765270587, -3.4421302222882475, -2.6278618476995943, -19.969923655153103, -29.85371183566137, -19.17764993682776, -30.920113033595378, -35.11850516882566, -37.61592110231704, -35.10227597430453, -37.376138070103146, -29.279991484658442, -18.287821046018053, -27.399288098127386, -25.730085546618902, -22.78398645767614, -2.001640678831503, 9.981573189884923, 10.055151090420651, 25.979838975711537, 18.93416268764593, -4.6124268651628775, -1.7555819091962817, -8.494034062994189, 3.52231524180522, -4.072696988672963, -16.349958255095963, -8.572019289413326, -19.760097857152758, -10.91326290362841, -5.198250642616308, -18.396960748322055, -24.073366095230654, 2.1341552152966443, 3.9362530401020352, -15.69477735901829, -14.558944292321685, -9.264595207854294, -3.8448726626687906, -4.132112857508927, -5.047956882351759, 9.595577033272718, 0.10978951123642933, -1.7513296312330295, -5.510674840067871, -6.787775094345529, -8.848276619003041, -4.6815408374771375, -9.666917262412367, -16.18372761163461, -15.77293870528029, -8.919887873744484, -1.6244246258680208, -0.13617447722691645, 5.655950770241421, 2.774217680930396, -7.552003837551149, -15.774739197247325, -26.529149965671596, -23.570105538234696, -32.90016912206143, -15.109976863512452, -19.671467646116362, -12.477528082345879, 5.992945656162146, 2.255974102929411, 12.5253561408162, 5.945777926566814, -8.530190074141451, -19.391605136536402, -9.566990549592669, -13.19458702683746, -19.127638631832383, -23.792895492541305, -11.253428543309084, -14.635092291282158, -5.550983613681191, -26.630037109740556, -32.30922670089079, -25.015014983358867, -20.43155793891894, -37.6434929969507, -45.598902793482196, -32.80170039384296, -35.26929601681047, -25.68325520284131, -17.27379037332512, -23.28358929432766, -26.764905136943234, -13.847215323462825, -16.995337014928644, -16.32196561030826, -18.26477583383316, -16.265921993969418, -3.979710433032123, -1.0858872915076123, 5.226795440865184, 9.272988899176095, -2.106691900587908, 2.8592402699163006, 18.665672831709728, 14.977826744549537, -0.10101129799568298, 2.9945931144463263, -0.25884045677980483, 0.7815146580435921, 5.230217821636375, 5.137244416322057, -8.130818608145901, -11.869815286781176, -8.784326894254008, -10.350722729806364, -3.719499935677704, -9.504366475652452, -4.771446541083883, 2.214743727246186, -5.947344617718294, -15.807057962693033, 1.8772056936886568, 17.903935498784904, 5.485109219000327, -3.4456503420910245, -1.1870104862808382, -18.69110597027906, -18.58447048768987, -7.482550542854784, -3.786563620604868, -2.8082817945169722, -1.7630486831656715, -15.804822585685038, -2.3775275024698885, -4.379476282558641, 19.529460423563652, 14.553912226571638, -0.5993206180883988, 0.1334193799223362, 2.783805618841291, 3.5482006579077305, 28.757482186560278, 31.498861615349607, 31.408042790999087, 48.4334594079688, 53.61653131126437, 45.71646215193794, 51.785224616714345, 22.006937460324444, 10.75963021208387, 6.238234090151602, 11.993050963494891, -10.742784201281303, 8.592916057541247, 2.771217149657538, 8.184103052576045, 8.485453955795181, 2.3975874874127108, 5.4462071749235905, 7.825271565417445, -13.12426412336881, 2.8758217692563353, 3.4623374855611915, 2.984474457621438, 12.245197984241388, 7.4801256077586995, 10.155356317931465, 10.219049399887984, -15.358778188918883, 2.4087163181106774, -10.722846755106513, -25.068712442845687, -30.95200546055006, -22.14185857958869, -18.777622444268005, -7.7069194955074325, 23.494801536345193, 7.554818995590029, 11.62824077515138, 7.73486402603964, -0.1859950791341083, -8.097058770368355, -2.70896893446015, 12.559029753408645, 6.584109029853209, 0.1354516323213879, 6.857822436729277, -1.792490684619188, -6.61740769578512, 1.4019378945286016, -8.522761974858165, -7.123008469240939, -28.703022449948747, -24.398514431455215, -22.329807082017116, -6.140329761196224, -1.3335033728038819, -4.097794843933961, -18.386760064715062, -3.083600206322993, -10.371435967964002, -3.3770486861607223, -6.93418288863816, -20.0264125162511, -6.418899229757102, -10.199337237098808, 3.6959186371699158, -14.099547615840489, -3.4126887209498147, 2.0228682731673633, 3.4645582886260016, -3.7856530329599636, -18.47303922201156, -31.47321995575831, -20.470702179110024, -4.499478006638526, 8.929675250586245, -3.701353772900961, -17.519965004074834, -21.38458937207237, -15.20141022465605, -19.767338540910707, -28.1396156410119, -10.128342743187735, -20.64155592999473, -24.687864982980663, -26.061558605272282, 0.7020525635696231, -4.515173168410722, 0.4739522837757528, -5.523677505227168, -4.213325159081011, -12.675821235888117, -13.382176169881555, -17.19192622905454, -6.9146244308865334, -4.946904580606516, 4.174934208326699, -14.461801963431768, -2.2154523301764932, -9.111239738903578, -5.078852298382542, -24.69102094907171, -6.900744973413614, -29.024964858567312, -36.98960405178474, -26.74477732732103, -29.31383505669207, -17.57312384247347, -6.8377381513915605, -23.067799520606183, -0.6675347907464015, -1.492938515307718, -11.579574145997118, -19.04135067592133, -30.676516925256415, -16.17412655334013, -9.784045796297768, -8.216181320383663, -20.001290531046294, -22.779662927537096, -20.51551598986871, -15.31850659692919, -22.166207950824315, -26.5696140481745, -1.8369058673040364, -10.189326139216801, 4.813629687684234, 11.599240292922705, 8.740441104792644, -0.8741695135936585, -6.771607555974601, -8.660039132472246, -21.16839835571266, -31.787744060674534, -29.761837802782754, -18.724349598937316, -11.33860739875068, -7.446510961751207, -2.958491379400858, -11.585515911507427, -22.15817857581434, -13.222021395220555, -4.462635812839272, -0.3810472981833595, 2.524164675107565, 15.8917810069968, 18.339813919321784, 2.9981189068709355, 11.56013913820587, -0.8556916229251925, 17.486539228590196, 9.678969797905669, 23.450068133650028, 33.61844967796214, 33.46061231592743, 24.830435901648507, 23.51978698510142, 12.259118174001188, 2.2001297407072826, -4.889678000321633, 6.257227966282873, 4.209321144999337, 7.441289867535567, 6.721310481462934, 11.576476533302955, 15.045904070108719, -7.690197342203799, -10.475464893636062, -26.849487165171535, -27.179702696201733, -19.033613085814128, -8.677286741567418, -8.380428291982879, -1.2940582853956784, -2.4297342126666805, -4.213304398064584, -11.522330004411854, -10.092491076242174, -8.945353695242312, -12.179746424269798, -14.871912283757004, -23.165649233393992, 8.29801194920379, -0.7787737641214258, 14.583599758868166, 14.098246381298244, 0.5596385862588651, 14.59052384382067, 12.917919063149423, 21.46634259351122, 22.579529890411806, 4.312058206837653, 6.69130974920081, 14.434859624522819, 18.56785430424298, -1.3983036571582161, -8.768110329870952, -0.4486188243830549, 2.777735143289461, 15.1379977444314, 10.456237479928573, -9.712486677288744, -18.785881405664668, -24.52928459754296, -24.688546188886193, -13.118631694242218, -19.377770016751597, -16.749498501827897, -10.117249708262575, -14.370065755809975, -31.089310740494227, -7.435171547327261, -2.248037146106414, 13.269916613852072, 2.2926100502983413, -8.81468736678239, -11.074609087089652, -1.5378573454555529, 1.1508516587282533, -4.266538637839829, -25.81079980757702, -11.076224074399699, -27.526159959794157, -31.774761271830638, -16.60932414569002, -0.13557901418062812, 1.5171359214385531, -10.064969363593821, -26.929618361942694, -3.726804889915279, -7.133992735338746, -23.851568294393168, -30.116015986174705, -30.558349456980476, -25.39273382653434, -19.698230799000054, -7.693732548409036, -8.366669040249558, -11.121306484728732, -22.303521034713228, -18.53224182791136, -28.43018494459366, -11.501703515501635, 4.423202401144211, 4.527033546633277, 5.756561480531072, -2.113226254600556, 18.03238785292694, 16.08200466260026, 25.37535694578004, 4.697810785060728, 10.603953000157437, -2.3983288123265343, 4.5686218180128595, 1.6534721001693602, -8.430113484660843, -18.88393397764783, -7.710255835591493, 0.7807131146437127, 5.23990110687756, -1.4187943101475309, -2.896591374155097, -6.500732388127993, 1.879488593226827, 11.629025482179935, -8.37864035504957, 4.684569546501189, 9.802079263502005, 17.28183669026565, 29.340790317250622, 30.71752512721139, 50.019911722966725, 44.22458495462471, 31.926122663557035, 27.910641416317183, 0.14744108275760937, -4.921145463331467, 6.416189048488146, -6.794396401535804, -8.764060436198905, -17.103379170880437, -27.2336699554087, -35.69536176992494, -29.039139931368368, -26.24552705715935, -26.848902321770662, -38.43167668617242, -38.936698197990616, -38.69019136617844, -20.133957552751028, -20.029412611005533, -27.403486792265575, -27.811560057445572, 4.93408523339065, -20.656202575338472, -36.017268092211204, -14.224581556493689, -8.67382873803505, 2.9273586264371447, -2.19831897870422, 0.5515630068990838, -14.088164672238722, -26.812036862264794, -24.299308859670568, -19.330577893500198, -27.371412119997885, -20.93397248991583, -16.139242887171118, -1.5272268056195415, -3.234669061743122, -24.55688411868197, -25.921750788830757, -19.942465710889255, -30.847190195289926 ]
Does time series 1 granger cause time series 2?
[ "Yes, time series 1 granger causes time series 2", "No, they are not granger causal", "No, time series 2 granger causes time series 1" ]
No, time series 2 granger causes time series 1
binary
[ -0.04680271402644663, 0.26789238095318246, 0.007273063846617855, 1.7365893739958231, 1.5503579794926137, 2.039040958852328, 2.3505820341246286, 1.701145713455806, 0.22123994844257266, 0.7103506837288183, 1.8723352260011819, 1.5529538184822587, 0.9159152425967156, 0.8743832960263672, 1.5407812919366422, 0.6312395513454663, 0.5951885434605033, -0.05624524586040214, 0.08013649766548639, -0.6295100454109674, -1.0140745092729027, 2.039995700121692, 4.737237261782676, 5.817142296471449, 2.144372251955973, 1.5985840910842892, 2.352694125107467, 3.3180322474212534, 2.4131349243732743, 0.6240743144088685, 3.446313374459243, 3.249772768738093, 1.5468095914947453, 1.649399059982261, 2.1583912386900947, 1.9779852114459475, 2.141600336161826, 2.5389943097775203, 1.1282059846446366, 2.3845673499069386, 2.826274437531294, 1.3833915295823482, 0.6931061436295326, 1.4352982367930198, 1.613394146692052, 2.5993367891950245, 1.8478170755750654, 1.7107275857418358, 2.214216493590215, 2.013397396770474, 1.4708772878520173, 2.746558498941656, 2.6086976276863556, 1.9904247972424665, 1.1559079074654175, -0.04429248802313346, -0.3477917879152399, 0.3591775041964086, 0.7079689083719973, 1.3253665672188455, 2.997592464788757, 3.4637088382509997, 3.05693838569407, 3.105887924648398, 3.3254954026520025, 2.3271714295353263, 3.130955595923445, 1.2056557355868107, 1.8509876141220873, 3.1647613563630954, 1.2723439290488698, 0.43008440291615146, 3.375806062678156, 3.178036295751186, 2.034663887861193, 2.550090664946479, 2.8808526719128267, 3.8620822233787244, 3.9396511236070584, 4.828833015905173, 3.8965910165170983, 3.650927826198213, 3.0565896000939112, 2.0472932242831225, 1.75416643643213, 0.8408766388205351, 2.593287556622898, 4.041665810748505, 3.594216517110673, 3.2786856953337504, 3.2730724497778163, 4.211269727945853, 5.067406320533921, 4.668378062413147, 3.464176922032506, 3.82773920188903, 4.039771803003204, 5.0189666843943135, 3.445734626648638, 3.546997158534755, 3.943374447089963, 2.826093302437598, 3.197623108362696, 3.188190870559579, 3.6005507863724016, 4.222016374181699, 4.9060874554567775, 4.475426904727437, 4.492613568996706, 5.790945445005059, 5.547440762235654, 5.964945595945167, 7.138826266360026, 6.1439696491224955, 7.8668609409239405, 6.540368071088083, 6.376795534334509, 6.222379418360601, 5.554410664745762, 6.121281078138682, 7.3919048048833265, 6.702371069341111, 6.775828659875767, 5.610284754468368, 4.87054013112033, 4.273072532409666, 4.486992462267629, 4.109690122247462, 5.0704221583123745, 4.516569781721605, 2.5679484990158294, 1.7694604779661747, 2.758138827708039, 2.457001945332049, 2.19881784944258, 2.2912891349668154, 4.053798986392858, 5.028310672457325, 4.415640422876466, 4.0019099995444165, 2.78960364339859, 1.3667629170561972, 0.7877135596738267, -0.2756938377536251, -0.38687384305734496, -0.6035363449094273, -0.4835917689477911, 0.6104385188837977, 1.8706444416971273, 1.2705224671029647, 1.023433037392608, 0.8702374102016869, 0.533443705078169, 2.545953204128283, 2.741594884943662, 3.8068433789852563, 3.3090177519261643, 3.6740865100163695, 3.3215757030964044, 3.384587920702421, 5.108172041437448, 4.587861907855636, 5.975043108868158, 4.38554387884452, 3.395669976748276, 3.2368425521372957, 2.4291331105166853, 3.3700868264615376, 3.044168046512361, 3.693933901179242, 3.3116984218459034, 3.089552493959209, 3.3626670837721773, 2.366972644162701, 3.3039279596237447, 3.910720425828098, 1.8643789443146646, 3.529727591082932, 2.683283922796182, 2.741270556646994, 1.5893545601188293, 2.8358122891785498, 1.6816297785958398, 2.838625961739226, 3.05615605136607, 2.3524130573686, 2.877001446693999, 2.8628122017532722, 4.225931670957564, 3.7438363050555026, 4.332020970782672, 4.340737109222882, 2.901627608582308, 3.4787356228878807, 3.0553943809518382, 0.8478387292107801, -0.07893820779754002, 2.14726646086087, 4.360239285873197, 3.1519762132465172, 1.9099747807624439, 1.9471817918585075, 2.4356203173782385, 2.9457444814436062, 3.5681114352390635, 2.425257201887157, 4.370641412534973, 2.9652160652228616, 4.323617385315442, 2.3753610333980237, 3.507068172573727, 3.174193134301856, 3.191655084834623, 3.606573087977431, 4.265805483372662, 4.180658629654305, 5.282227669213018, 4.068578539875696, 4.667143005274053, 4.51750241767108, 1.5993172305896994, 1.8423718580310426, 0.9729674388779737, 0.9534747456795251, 0.860523169551408, 1.0891581565267425, 2.336584770583208, 2.052945139480266, 2.4253896451378667, 3.3762607072661712, 4.541076747137864, 5.423423323949898, 5.4479808805567105, 4.849794982836385, 5.914649319073128, 6.639040953331101, 4.500436783773976, 5.574120852451708, 3.244930705546925, 2.912308693857636, 3.2925963074486804, 3.1432934771027514, 3.0158360053994366, 4.941448271050269, 5.13589937017171, 4.902800982954905, 4.61384491568521, 5.029116781984888, 3.967157641023841, 1.3524006567778049, 1.9180793195820343, 3.3927415796796607, 3.595134556994392, 3.7749931976919, 4.801029150264058, 4.063482417452861, 3.08334734224492, 2.5386022442821954, 3.539925560508732, 2.8094914675019025, 3.2039795789804337, 1.7323138928758193, -0.4733361332095525, -0.9123243003874352, 0.8485775108115002, 1.520927475935166, 1.3131722784928277, 2.9285240987108176, 3.644331537650437, 4.358097047241793, 2.868637030264723, 1.4687430260449768, 1.1356678127932178, 1.646626157776559, 1.7739992078099713, 3.362858256646232, 2.881216977732589, 3.882699200637524, 3.3946564653314106, 1.6002583115478974, 1.376430486279952, 2.0712579239307445, 1.7841688660545048, 0.44581336831941254, 0.9511560889558066, 3.0769802378515223, 4.729609819738849, 5.576057907647066, 6.004927849180074, 3.663895324062498, 2.1569101433778073, 3.009694765182575, 2.2199415179148843, 1.6058715784121784, 1.2960220599402195, 2.7055725635496657, 2.1222191691306556, 1.9103935025704786, 2.53764567342168, 1.7019943023432564, 1.9637295863344488, 0.00908377795576909, 0.3530457811281057, 2.2023507456784897, 2.3929131599908557, 3.6408409316969115, 2.5933162312018005, 3.7439630012303735, 4.867709309928423, 3.924814154534426, 3.912321763499552, 3.6999412487615593, 3.567736407350375, 3.26591575763631, 4.743561701875501, 4.2129423833187385, 2.4821552758596805, 2.801255604565129, 1.507143895046759, 1.268564891536165, 2.2406201923826687, 0.7708554117396809, 1.3531243556408525, 1.5744795001075833, 1.6599744518693946, -0.06219677760238018, 0.15189567408372648, -0.8440377983861064, -0.95581240112659, -1.302092509693249, -1.2084027688465542, -1.1614507167356365, -0.4824395858324123, -0.27204474733043116, 1.4830307675973708, 0.9799977072005776, 0.892499657584108, 1.19697469172394, 0.4967999581004304, 1.2089827284620656, 3.9495498397013167, 5.042806975890156, 2.4519788455290232, 4.2432054279118745, 3.59580286557828, 3.03399296630936, 0.7277809545979081, -0.41563121841500117, -0.6634625267081043, -0.4608262544317061, -0.8398687059853506, 0.5661996604846522, 0.49635556376750184, 0.8254086332360755, 0.8031663066964205, 1.3733579769514495, 1.5930376573538194, 4.4423240134867, 3.6396411275248646, 4.710391701992005, 4.731141303278807, 5.3202578113301655, 3.4598550417472675, 3.08093359412349, 2.9943118735329377, 2.16929042504408, 1.570962363029781, 1.123342373756022, 1.6098983774124376, 2.5933209863210918, 0.4943071682103948, 1.2609699037859667, 2.150732906731908, 2.7814505241482568, 1.1612340305615503, 0.603938920705991, 0.19968887917536549, -0.169765274167672, 0.7318781477406908, 2.314420213186019, 2.8224085200957396, 3.0480599703528286, 3.322924054451483, 2.5512492493982015, 2.276139011303664, 2.4499466813821758, 3.2650179139134012, 2.9620281338493584, 4.1100424865354075, 2.5625747778525487, 2.279348050121376, 3.375239870663689, 3.9149810455375964, 2.3079331388888553, 3.1060649484908778, 3.8062590517677695, 3.0186583971053436, 4.095724625731381, 3.982159580189565, 3.228194952921105, 2.579613667892204, 2.020832200390718, 1.1976462351177195, 1.0523071879320471, 1.0287165348018523, 0.2590319600126474, 0.4432277753927967, 0.21784214452683331, 0.28403777378888395, 1.0121873414460998, 0.5845270858009846, 1.1576755056842059, 2.6360912443987417, 3.4007007080093374, 4.447688529029094, 3.616297345106562, 2.5834945447646835, 3.4024408718095867, 4.2055950966504065, 4.319602995933699, 4.182890122611741, 3.7940226414849203, 3.5728803714022805, 3.1420497957306592, 2.7699672884898034, 3.230467113550004, 3.4744203603501944, 3.201472532637304, 1.6487394189697522, 1.4083947144628854, 1.6150240350488445, 2.8648233353607893, 3.385499838074195, 3.794953718883261, 3.93708748356015, 2.7588604677374797, 0.29634082456767974, -0.0026450825397701383, 2.148583119063962, 2.0191945302883623, 2.438699703752622, 1.9508498450117742, 2.750394720406855, 1.717586866930574, 3.010319636113488, 2.5249388052990116, 1.4628770111368241, 1.0137791193051193, 0.6460189620172657, 1.3258668329735077, 2.2007293933907235, 1.0923952863353188, 3.3295513706227498, 3.585900884874769, 4.355747776026099, 2.120194488855336, 1.3452667084805991, -0.6833488377112105, -1.281450931991933, -0.14770447162305445, 1.4298267358603036, 1.5389543206481522, 1.9935173957189098, 2.1100419489224462, 2.2974963817627416, 1.945355225014584, 3.207278749877971, 2.2735295905287902, 2.5240766290128405, 2.5639380096227478, 3.369551004930898, 3.176477294152931, 3.2896539734458066, 2.6311194600964796, 2.5648231729099153, 0.5860823113086546, 2.16611588029474, 1.9277459473062657, 2.4767313216705786, 3.725287291744886, 4.0042620079802145, 3.608229258586987, 4.077591326861575, 3.922635747235068, 4.7637473596130855, 4.813228317230956, 4.628071243821622, 3.7778649103570694, 3.876299054420374, 3.9454142551938025, 4.193611359043858, 3.434324190010159, 2.4641158843887965, 2.2803935146333068, 1.20350214223579, 0.6869638487463476, 1.933814647727223, 1.5987847471826218, 2.861728776485852, 2.790523513172518, 3.419774009089056, 1.5919602690387984, 2.1071964054095575, 2.8713700648582643, 3.4088228898163813, 4.254124322476832, 6.406615672742445, 5.670423384643971, 7.064599141270216, 6.23154485094594, 5.193705552002787, 4.038816745216842, 4.168885595880146, 2.462406242169516, 2.0765732571868, 2.6622093601849017, 0.7641205736446179, 0.6383831748669635, 0.15413385085033082, 1.77046426366832, 2.286864346593883, 2.9649387663475624, 2.0261622885547186, 2.666448610758498, 1.9714975144809261, 1.9472895893764857, 3.11742500201232, 2.7743066662271487, 2.6701293579386864, 1.6013365968390638, 0.4370777250545026, 2.5420849071934164, 2.7213044455813273, 1.7390239891016135, 4.926509314118485, 4.218972708161568, 3.9214861137328754, 3.734055907058878, 3.200363257505928, 0.7864524479187849, 3.220661813552351, 3.4742274337626813, 2.9356427947233352, 2.375893298831957, 3.0791461767138335, 3.2776426513253103, 1.453056654580094, 2.170738239043671, 0.7793077764597349, 2.6210076200336943, 2.4862636057124985, 2.294065178961858, 4.924532650232226, 5.918364474730064, 4.794689412511205, 5.0688774200706765, 4.570409788655615, 5.384093709652497, 2.5564713575411764, 1.3314016217949607, 1.4530453663773517, 2.6904788665231107, 2.439479670957084, 2.6189207361985107, 1.9129467097682094, 0.4181377697912152, 1.716401939663249, 2.018145250689332, 1.559419041604561, 1.1400922464595356, 3.3075687140826115, 2.511651111911867, 1.9685038358036977, 1.040843009126628, 0.9143427207850368, 0.7573264966180303, -0.12238918940357746, 0.20409348948392902, 0.92306824626693, 1.7763022343006643, 2.2348598564575832, 1.0714408854792, 0.3608381988739562, 2.2532130040098077, 1.8972130309826316, 2.071602293696082, 1.4994629283253913, -0.10277668108873228, -0.8789210881296959, -1.441455062314066, -0.36581288035216253, -1.0864006934344452, -1.9222693223692668, -2.235615686419963, -3.208975088935233, -2.910979345517448, -0.15492451422437692, 1.7048716672443909, 3.164969120840746, 2.7277336684808815, 1.373061568205251, -0.08547693370297815, -0.7115654639231194, -0.7534465026806477, 0.20844307000029944, 1.2265703386746334, 0.9644952928983042, 0.26310201795309096, 0.09912187833171787, -0.23620399227303135, -1.8557956375571851, -1.9295568374434189, -1.5830058757247023, 0.5053655387758392, 0.21643533796882886, -0.11705675421586914, 0.6706606666551482, 0.9007189525358046, 0.17977594221124815, -0.4462418048323631, 0.22859791449157507, 0.9313275366383564, 1.0846783303086556, 0.5533644876261149, 1.3652554037324784, 1.3956065015304158, 1.3617287031464347, 1.9259140793596912, -0.32871942093407935, -0.7662213911280547, 0.16991292854211726, -1.2176815735181177, -0.7012334929483193, -0.5135827144259939, 0.2793382103275387, -0.5457552407889039, -0.07668693870004917, 0.7846872855346607, 1.049680699734548, 0.5303452773820492, 1.2748771564653907, 1.0082027190373548, 2.8241229794054337, 1.7457792876611338, 1.7297552806574867, 1.9663358486018803, 1.012724021823031, 0.6304266874913139, -1.585333275747542, -2.0372201340364855, -1.590118129583114, -1.5550320067187802, -1.5041438982283213, -2.426843502334846, -2.5185726655002565, -1.7473434542447521, -1.2850595731477494, -1.011822485048629, -1.0277255231537001, -1.6563120776063205, -2.406771131358627, -3.2425720236924787, -2.17148162735233, -3.4330499452018985, -1.818165513699957, -3.52900516736501, -2.82709630763736, -1.7385829120321978, -2.3827056274669425, -0.6853274365858879, -0.9038822956942777, -0.8920493239840938, -1.5610003996482118, -1.6979290763701311, -2.0676319462876673, -1.9902246934642485, -1.9739691426460437, -2.5565647031527714, -2.9294859664662622, -1.8399954782456134, -2.122555514619842, -3.045348035693451, -2.73373576498833, -2.07388881079154, -4.494054059956023, -3.0566762645322862, -0.374572085850998, 0.11526680912315473, -0.8819217192807153, -2.8953140772745303, -2.2227449576283576, -0.7498724420292866, -0.8522197537563451, -1.4671908071190956, -0.9193650429311362, -0.20626772089220424, 0.2979639947835849, -0.7555782175120899, -0.6890098390115946, -0.50438812856309, 1.2386718053006223, 1.4371917668349519, 1.3641438891311328, -0.053543380536340335, -1.0055387670630902, -0.6008294336934886, -0.6907223779398646, -1.7589015776067964, 0.7688465032693164, -0.9802385909470526, -1.0213803810414483, -1.420099121057044, -0.9474069858307668, 0.17385815076325029, 1.2058769359337695, -0.1834557816514485, 0.5558935782606611, -0.11892526064951656, 0.11419018439432643, 0.5942369597265138, -0.7417547220879471, 0.12347634979985744, -0.2668270425604805, -1.8797348031625911, -1.466814528217541, -2.2783760991049533, -2.329737396516335, -1.1609206302871626, -1.478800307379445, -1.5219297932457256, -1.422942083400764, -2.822913133963789, -2.303976577584991, -3.7293710967569087, -3.0341947489181043, -2.2515594555549194, -0.7228282127246277, -0.11902610062952057, -1.1505998704579095, -2.50090687658533, -1.8712256864534003, -1.56773600448327, -0.8375119098530228, -1.5542951168445478, -3.667230432764833, -4.661391974712139, -5.358369660963005, -4.662548332999514, -4.676270215786076, -5.457667118945248, -4.23222506221989, -6.444047331966734, -6.203073978489855, -6.219100114355567, -5.374287551963897, -5.333158286137573, -4.095765228437192, -4.4102257652595585, -4.639389888857261, -4.299886477510442, -5.729479970468258, -5.983671809109339, -6.0335769884759225, -4.430890372032508, -3.990770931405795, -2.469075037628005, -2.1501698884611016, -3.7846605493066754, -2.3457455933750646, -2.278616694551869, -2.4394705398713046, -3.3579035875312186, -4.254176882463085, -3.4213583395329836, -2.2090151122128816, -2.580441739486041, -2.0700779905611304, -0.3854225312316726, 0.5874597187969881, -0.5155584999432197, -0.45075891814881464, 0.04957752655382319, -1.050210038407339, -2.1379309598067833, -3.1087491117918313, -2.621303061544886, -3.972236145419255, -3.4397977574699117, -2.7122255770642743, -3.9604787272189546, -4.134416310575209, -4.085902891768537, -3.5762956188347275, -3.1647926849013497, -3.2042973811316595, -3.664394529028845, -1.9894388239585532, -2.2634934517220615, -2.807500962715257, -3.953514145390978, -4.004129334121617, -3.1967704015336476, -2.5692595053366123, -3.536306751566439, -3.33696149209399, -4.396713446213614, -1.5755184630514845, -1.856432429174007, -1.4403413720221585, -1.2183296248231934, -0.99388653714572, 0.3170543705610358, -0.4689358200587148, -1.7383176384191137, -1.6978325161919094, 0.40083825790059, 0.39989565779836933, 0.7970636782593046, 1.3781592673994132, 0.535458062204565, 1.0842161120383103, 0.1327051774637018, 0.25431572896127996, -1.1520961884469132, -1.1012056099060537, -2.290897386055325, -1.5822369731852168, -3.1536187217186757, -1.8497116769991633, -2.6683005481214863, -3.227472480487974, -3.9650865227845515, -3.6766374669464446, -2.832783314253373, -4.1149757461766026, -1.8814861769372166, -2.974388850183282, -2.706681914473821, -2.462925973706519, -2.3686374258994283, -2.85863261898237, -1.9069948042436913, 0.33824439673545026, 1.0496639052443735, 1.309138127372306, -0.26535760472048875, -2.1730082149653405, -1.9218352306144464, -3.312415884363626, -2.962162959269608, -3.6016697246620213, -5.763285589625276, -4.562591074436693, -5.23346417579441, -4.840080106651468, -5.988788689318484, -3.6283981813367774, -4.60891299702627, -4.032399493021623, -4.125542382985108, -5.079557528394397, -5.624330753984794, -5.963784919926141, -4.756696425419993, -4.516374887366626, -3.574493927832598, -2.2273603426892485, -2.444205026017029, -2.661227962000604, -2.241797432370329, -2.204647593370361, -2.4458890213736755, -2.7645892005973267, -3.6810414220956442, -3.7644134575046313, -3.5318485914392217, -4.563760991070319, -5.532633702088389, -5.425873398491541, -3.449497270959094, -4.006479884192135, -2.5591960235628246, -1.7419375178451468, -1.2322528334092264, -1.8096493044449136, -3.219348102077374, -4.443267591164797, -3.5589531127563396, -3.6644649451685836, -2.8334039980577423, -3.0886116274018742, -3.482359133921833, -2.5502546348094173, -3.1596112322342647, -3.0524904847747503, -5.230550412540687, -4.408612543833137, -4.128623603284569, -4.751896719595011, -3.3835841006781617, -2.0514208859820253, -2.109466210551701, -2.7266766122437156, -1.178425248082408, -3.1569739605861535, -4.961841088976149, -3.215750525183863, -2.047091737185056, -1.9148007340681725, -3.856102017794675, -3.7619794818765935, -4.983653228122135, -5.743986013420814, -4.929801666028599, -4.329924653927561, -4.8900883009364176, -4.16108741986208, -3.492672206696021, -2.543918527230361, -1.8585279165484798, -2.864923932353742, -1.9852934351165494, -2.6055734190611406, -1.1845962985969067, -0.7709710194405981, -2.5950107162073, -3.454692885598301, -4.973330869465676, -3.6963079511920536, -3.196053026303744, -0.46383292365516837, -1.5779595535802133, -2.8230933349594833, -2.755363214494147, -3.236503336508364, -2.997250792481342, -3.89535319726463, -3.8779154841704666, -4.825193247825854, -4.861551488374343, -5.684940947059363, -2.818191421611438, -2.6737842804625136, -2.77465468450117, -2.646032136446323, -3.0698693767828984, -2.4403042848608436, -3.385605604110186, -2.6370715618419305, -2.9665127173280865, -4.366782308206853, -3.992814334256938, -2.39873997612336, -1.0362738170374337, -1.2812277746803586, -3.1530485606256096, -1.9500803980673822, -1.2444737574688012, -0.3490251316195847, -0.6264653304373635, -1.3246951808066263, -1.2621141804045706, -2.5114442507706034, -3.119736246648576, -4.519138914773903, -4.002071252634126, -4.3316395977346565, -2.8005694061908004, -4.164207827417604, -4.271890346106986, -3.507728603314141, -4.028166879321613, -3.361179845013341, -2.7442706544887887, -4.396720835505591, -3.9801659877553166, -2.7938468084859114, -1.5753846907005977, 0.3525198102026237, -2.0428533151882453, -0.8824019961677532, -1.6200928896205984, -3.4959230686153857, -3.688194786712933, -4.181720994892535, -4.341497393350594, -4.17099338847426, -6.430992646749802, -7.130913124222227, -5.424901838141917, -4.611883600532221, -4.982708988125634, -5.860071130836724, -6.2924304421883255, -5.2127049953060265, -4.8476332630957994, -3.0006196131983405, -2.3291311010885956, -2.937869918165233, -2.44689541915798, -2.5250147984368443, -3.435786710660565, -3.275935779677738, -4.1217734580054, -4.0118742141674915, -4.047308766325952, -4.4622819728454655, -3.9107824764999, -2.916460739216999, -1.7035083560015414, -2.5632410499888434, -2.4422779469761333, -2.389575644701064, -4.69642294062351, -4.4625092898883185, -5.01477946309874, -4.353762706911225, -2.467122799412953, -2.2023556999131744, -2.4887782285374347, -2.9490933273510027, -4.080384631194058, -6.260072856804477, -6.13501683281189 ]
[ -0.04680271402644663, 0.03242477302808899, 0.05585809492178133, 0.03711327544816631, -0.0353697809722205, -0.08461421693367617, -0.16933942319515927, -0.19897783838387437, -0.16918325091739575, -0.1577834157441999, -0.151951881232511, -0.22182662407037534, -0.24024772273907813, -0.2121596910407692, -0.2654590216355417, -0.2938513190570902, -0.3427727539140677, -0.30620746189126663, -0.31099017682589725, -0.34854595527431337, -0.2822371953506296, -0.32518472696508444, -0.3617334359996828, -0.41535006224882454, -0.41096681979180416, -0.3583988592110446, -0.3512997670307854, -0.3618886698284579, -0.3596035111937552, -0.33582096064306666, -0.4194044408883963, -0.399565791794637, -0.39408370001107224, -0.44752293891004186, -0.5071278305837006, -0.46643988708070366, -0.5073998686961622, -0.5112697522941844, -0.4889704870731385, -0.538884785000456, -0.47616333512365516, -0.45405987734847086, -0.5059490732684124, -0.46052005934045775, -0.4364168753333095, -0.4687082492956915, -0.43101238160977584, -0.4140830852340939, -0.478241085879258, -0.5277430279666461, -0.49834290097017053, -0.46597396274760616, -0.40734029421233936, -0.38307892040002495, -0.4241366488273632, -0.46033656139953516, -0.39105556102620864, -0.32484125158467037, -0.3850946371502264, -0.42635002703695823, -0.4711735422342697, -0.4978204112310594, -0.4632130847953507, -0.43166760935956655, -0.4701328473862911, -0.5047987526378033, -0.4461942168073105, -0.4665152516199754, -0.4935573806648919, -0.49551988598748203, -0.5674393246029312, -0.6531888026463286, -0.6328072435108899, -0.6935016128267704, -0.7596471409508131, -0.7879376847585322, -0.7833108978765834, -0.7603042657656506, -0.7904086150489609, -0.7965414319824604, -0.7731496536300188, -0.7253645141664599, -0.7675942408619172, -0.7043117460490291, -0.7260952930013862, -0.807045469987546, -0.8077950523081976, -0.8829127216199275, -0.8228536014836514, -0.8331566963404253, -0.8097843030652618, -0.8063628463630641, -0.7818524089141541, -0.8004793966584569, -0.8135578932290112, -0.811933077095655, -0.8086455798082681, -0.8308313114274798, -0.8294419314431939, -0.8738213039893352, -0.9076618067378633, -0.8963642457069894, -0.8814000213743951, -0.8873959049580363, -0.8582174718223802, -0.8229116350591248, -0.8024240959614173, -0.795292458249207, -0.845369486896584, -0.7914201637682979, -0.8681655335921307, -0.843931867385697, -0.8846076445755588, -0.8054278426953299, -0.7307204544009163, -0.7221605327214852, -0.6854084034979508, -0.6865350143509114, -0.6821444419508848, -0.7196453147488683, -0.6775808570832422, -0.704230529322661, -0.7099006332130463, -0.6769932227365411, -0.6734610041995464, -0.7626204221958106, -0.8033138785797913, -0.7833043959824115, -0.6927942591696666, -0.7122388757315332, -0.7143007475352705, -0.644069136797962, -0.6279805462131419, -0.6102907951809174, -0.626626273886968, -0.6069458115878049, -0.5953820333923683, -0.6436979082427126, -0.717008324083334, -0.716728558339918, -0.7538514711390586, -0.7688657451780736, -0.7375123164109129, -0.7460767915084373, -0.7600148708594034, -0.7804612012837184, -0.7928876739176915, -0.8218394826397233, -0.7828995206703683, -0.7679368598206997, -0.7826269723714003, -0.7624877623132766, -0.7607231400527201, -0.7952380052951238, -0.823059818373703, -0.8257290902478877, -0.8324441971749615, -0.8639734934637459, -0.7657717450382875, -0.6977048028861468, -0.7221820898165616, -0.600407861728069, -0.5862801981880815, -0.5494460790321257, -0.5597575597586607, -0.6166922004102732, -0.5673579417617562, -0.5769684172679461, -0.5019134574818295, -0.4637754383742891, -0.5005021698129551, -0.49588427601073365, -0.5126231086266031, -0.5462299903683218, -0.561813269013408, -0.5934800126074518, -0.5273258129860349, -0.4573466249044831, -0.4371774855236564, -0.4456511249674834, -0.384226336886065, -0.45530273069095084, -0.4854085307330535, -0.49329923509455464, -0.5205604799779557, -0.5757579035259937, -0.5643562796160326, -0.5636177499187123, -0.5483744042017409, -0.5518463632621345, -0.5488990426304512, -0.46010789072666436, -0.4900821619239616, -0.4890377550025048, -0.489092728013415, -0.5174895056320787, -0.49863815916520393, -0.5312194993485599, -0.5749648227900359, -0.5819937311359813, -0.5550138016510343, -0.5931333945723469, -0.5367203728621605, -0.5775259827259157, -0.6286502686792637, -0.5838336829095563, -0.5469694181522085, -0.5771830538398953, -0.5726564906700469, -0.5848092574183325, -0.5929614239595338, -0.6278581054224278, -0.57061074797863, -0.5506497578882247, -0.5498916327507531, -0.5199045880606986, -0.561401853272073, -0.5922831651485293, -0.5973807306528766, -0.631923100458547, -0.5668649619356381, -0.6565319363122568, -0.6517355041713677, -0.6752252223366086, -0.6467972251404734, -0.6261698948396014, -0.6556481855560318, -0.6388164417671295, -0.6480315157842945, -0.6424948951386874, -0.6422403404791518, -0.6033978481324479, -0.6129978164515638, -0.5591383512283715, -0.5600553882103484, -0.6408778652936234, -0.6488981867632757, -0.650625850199692, -0.5688477163065944, -0.5499975942473309, -0.5272964351548671, -0.5774918352944517, -0.5097329596203652, -0.5202670513234342, -0.5161461510063353, -0.5351935866326908, -0.5410535012280463, -0.5631680044415569, -0.5459172097859006, -0.5185181770427543, -0.5174810787197288, -0.5398629961880448, -0.49041128853540666, -0.46101476609005443, -0.4040189218647569, -0.34937791589563877, -0.2936878715706656, -0.30531387968318585, -0.3285455221008783, -0.35180915648615735, -0.3253806866144065, -0.36438886538029824, -0.30142977863530046, -0.24905111605064487, -0.18777342224755558, -0.25199749447181863, -0.34176994080088746, -0.36324885113648375, -0.3932740085300248, -0.4411908925931333, -0.46038281085446325, -0.42429539146208245, -0.39743105048559463, -0.3811857025440628, -0.36140106657611115, -0.3199949647149868, -0.2751286802061224, -0.3323039777615042, -0.28238022470690405, -0.3173908546027301, -0.34194467774930415, -0.32634294823192583, -0.3733078944564044, -0.33682940515564086, -0.3355347518063634, -0.33336118541495563, -0.3239099639569296, -0.29416435883448583, -0.26166049105937317, -0.296870671281677, -0.2916403700279599, -0.29820240216022664, -0.28048152692636474, -0.2574125621304251, -0.24684807878837606, -0.3317114031670816, -0.3635612262175119, -0.3615025824125833, -0.39887385947569576, -0.40155623601802043, -0.3979894926519109, -0.39597417658661616, -0.43294749985749126, -0.3993090108381399, -0.41459886168153587, -0.42575018480963994, -0.4430188024280802, -0.3856793215845197, -0.37128256936582404, -0.36008188241274663, -0.3708393315675979, -0.30211168321339754, -0.29639231163959595, -0.3706200047262247, -0.425456623759862, -0.41971775366078107, -0.39412869088060937, -0.3561217571929312, -0.29891169184091176, -0.3146002380266924, -0.3605111261009038, -0.30055138498861417, -0.32899148160122227, -0.30305355801193534, -0.27631514954524217, -0.2520829869863557, -0.24957771503656714, -0.24383104894533875, -0.19501008964373676, -0.2008712391357165, -0.19902819846947947, -0.23432777173772712, -0.28871779095114763, -0.27450337880809783, -0.22170059888518884, -0.18009251712357305, -0.21099171370902337, -0.2770899928746159, -0.2676229913397263, -0.29222544271783624, -0.2511204365015448, -0.2559849778698106, -0.29621309511641136, -0.26293807333348307, -0.2528992688421871, -0.26177990216088726, -0.20942338083408255, -0.2094466956642554, -0.23506828345138175, -0.2502569345748348, -0.2611789256802162, -0.30883044852983804, -0.2882947938535617, -0.3358249107320831, -0.2976019806079787, -0.304018670546411, -0.32542880650396677, -0.3552585606609866, -0.29719500718615915, -0.34493095555559034, -0.30049671452577154, -0.25943256291451583, -0.30580072523755275, -0.2670243077162987, -0.25710783530017667, -0.24802724147165323, -0.23878901821102214, -0.23771175486928045, -0.29846099251348596, -0.31838566447861266, -0.25905794901789514, -0.2525752121193261, -0.261382302181051, -0.24204881708335524, -0.26152510566762605, -0.261268978895824, -0.3206953007020523, -0.3036627276290911, -0.22992320267177185, -0.23284556006217155, -0.23960165616231408, -0.16856805364362912, -0.19231412874626488, -0.1752117656500043, -0.21392088064433354, -0.2433666204883222, -0.3428600278082338, -0.37679872294435635, -0.4168916314332, -0.34402771934612314, -0.3754497010501498, -0.3678798103498817, -0.31860978821020547, -0.3550279590905928, -0.3243120112237152, -0.31164722701956615, -0.2794513603004522, -0.30143332036341786, -0.27677267578957204, -0.296536926799378, -0.3334804998520462, -0.3533447395730424, -0.32132122597431084, -0.29645061008387324, -0.3007556623539058, -0.2943545242461877, -0.28020183530309883, -0.29678966878066537, -0.31549499320355806, -0.39231772274892956, -0.3572479150373779, -0.35608961425905317, -0.3842723460329724, -0.3944227540992607, -0.38322722444421414, -0.35568346636485426, -0.31059202002677677, -0.31194268837068473, -0.3786065991999898, -0.3709313476983571, -0.4157828511460634, -0.40616007744763194, -0.3908434333291694, -0.333754036822748, -0.35154710535996825, -0.3406446654473393, -0.28212144997443445, -0.32238168105804255, -0.3322298729964821, -0.30722546146723406, -0.297219613399016, -0.2646500335896195, -0.2929411185608351, -0.3096758225764477, -0.2751222305040616, -0.2575882498500232, -0.17845745485091044, -0.15893821151689064, -0.13289323713815515, -0.08282735262959834, -0.08435007174014057, -0.1501222473999621, -0.17135459772304998, -0.17665915608618024, -0.18242806008757845, -0.17331286880244942, -0.14149259456843755, -0.09475926755726827, -0.12252134540526359, -0.12578917654326016, -0.09485481467843151, -0.0876941420115126, -0.10275451885353273, -0.13750822158027343, -0.1483849134135429, -0.1756293057792114, -0.20894321558402912, -0.21644766340021024, -0.3045634564815063, -0.26378077576196424, -0.2875177244508505, -0.31512004087887574, -0.4013728217684059, -0.41806620099315883, -0.44175106824183236, -0.4721722590268457, -0.47670102018593613, -0.5002521249391924, -0.5092560986766166, -0.5174737910294095, -0.5732286173484334, -0.5565358158972199, -0.5875204608585596, -0.5698132527828743, -0.522418213703137, -0.524015130700599, -0.49673056003856825, -0.5172098525302044, -0.4567600004615353, -0.4984545105604922, -0.5259992816043417, -0.5471813433971631, -0.5291863423921044, -0.6122688673090867, -0.6240816180385973, -0.5839759680764235, -0.5927849512713191, -0.6109425789465347, -0.6097664926340467, -0.529499753040346, -0.521386681415128, -0.5016808972707542, -0.4689380233349464, -0.5120808304252958, -0.42060415598243245, -0.4067686430466713, -0.4327742727599478, -0.4374437149491047, -0.42326394118798627, -0.42628791353901874, -0.36226743393416616, -0.3898993669602835, -0.3467696143846344, -0.37111743049110857, -0.4147492518001634, -0.4298169452811288, -0.3456983368554222, -0.30470762884313596, -0.37568196518520747, -0.3615680756051121, -0.28133515943235343, -0.24516851216675284, -0.2655978953482912, -0.24762600883847893, -0.2408314455437191, -0.2659159958108854, -0.2683541462963455, -0.25465968989181503, -0.24349320474175248, -0.2857719637070402, -0.27549601422776493, -0.29242360344826945, -0.2767390096291493, -0.2738515693521747, -0.3181563195091876, -0.2982406856609313, -0.24516452311925854, -0.22240299847708137, -0.2080769876281238, -0.18497254521276038, -0.18963070849853114, -0.21326523541636175, -0.2414634252739864, -0.27615683547556247, -0.2890086569083194, -0.38019902495043584, -0.42719559204010416, -0.4071848817776204, -0.38100983347155987, -0.34546041234465946, -0.2828845655303947, -0.2657963865200346, -0.20563363919039065, -0.15288444158575845, -0.14530823124865602, -0.19823442566318494, -0.26405260629617283, -0.29713287557492096, -0.28222296095653593, -0.3078400345314096, -0.30542742025243075, -0.2928924671450562, -0.34632513338090215, -0.32851120820933766, -0.2716937425833085, -0.2630394313796125, -0.2500789755636065, -0.26376760114130704, -0.29095186898778247, -0.3158022022852237, -0.28825571055591104, -0.31753906664942844, -0.3180163205290105, -0.2822657559803855, -0.24077640538190923, -0.24481995534239534, -0.23625048982835892, -0.1928124151255583, -0.20905338154357042, -0.23375013530011524, -0.19575422391217628, -0.16499442571441894, -0.1298794792562002, -0.152967496654959, -0.1178569625717091, -0.09523745877964082, -0.12829915377610224, -0.04632724181617273, -0.07582201268509134, -0.11113547487496298, -0.09786979940816301, -0.08562778005939169, -0.10912523085143683, -0.14786928778847325, -0.08183875110255387, -0.09115332835028349, -0.026093967540675528, -0.025583142888272226, -0.0359032730187467, -0.060052507020214016, -0.08180740528587366, -0.1641014319320388, -0.20166036868735496, -0.27809273729005685, -0.361294119267847, -0.3654346255402412, -0.3642317624919296, -0.3748270368732895, -0.393539294904965, -0.4312368583301936, -0.38153567325112264, -0.2990194327307608, -0.3551797965615871, -0.31872963580423785, -0.28146416088736437, -0.2699578096930441, -0.25492977707132186, -0.2872438992320599, -0.28735821346283436, -0.25350845708344366, -0.24236420267568398, -0.19644138380359616, -0.2220463771422302, -0.30658370274304925, -0.3301904737920685, -0.30828112339820996, -0.32967018414731897, -0.377799567026962, -0.30260902773835685, -0.2995496584808159, -0.2634052723382418, -0.27362063540397247, -0.3462421316349668, -0.308977358049703, -0.28720075549566515, -0.24356669480808188, -0.22199297875424157, -0.18243958725544882, -0.154408525044134, -0.08731833792292341, -0.07622467481746295, -0.020184621125937593, -0.0887879184213061, -0.10257848565431549, -0.0781910215403527, -0.04734664432115249, -0.06721736125226385, -0.011447434817849246, 0.05300507693127784, -0.0260837281618636, -0.003369508616179115, -0.004755597036838934, 0.05823671784641657, 0.010548548839531505, -0.02375399072655559, 0.029502630914750597, 0.11465700923883924, 0.09304954773451785, 0.1365634603058651, 0.15559416248901617, 0.16808484139402305, 0.2185422235967927, 0.20343928686512186, 0.22456380819626323, 0.21119373823040405, 0.2032723062070596, 0.2138061106855838, 0.23890180604363562, 0.22503319067487687, 0.2605657130262104, 0.2952701696419233, 0.3728834037484865, 0.3763275939599425, 0.3165076946864133, 0.28718240625875047, 0.23675442502620303, 0.1671455505042586, 0.13848753771568417, 0.12784111136155393, 0.12474136494431168, 0.1557620675090168, 0.15632945291968806, 0.21439180126323368, 0.18576750784728027, 0.1334829519796903, 0.12201055231894063, 0.15172598056104275, 0.1493827379520198, 0.12333580117548411, 0.1158852422840912, 0.09184145736985919, 0.12428191747442915, 0.06033372916492302, 0.02698124300640751, 0.0008353321472938657, -0.005374034690307697, 0.011189846173128019, 0.009661686458443683, -0.002314764048086908, 0.023000720324694808, 0.04985166572527905, 0.07170912501718804, 0.07674550852209798, 0.08857518997402064, 0.04185271338579978, -0.00748201284511163, -0.011058393590186937, -0.04981297017786197, -0.06922591127615288, -0.04738632403495192, -0.04023542244364953, -0.00015117624727157414, -0.02020338116265703, 0.007912986974303569, 0.022798255759709618, 0.0014968552163104713, -0.0009641368782527917, -0.015589391286526328, 0.07349244799825216, 0.05302436945327488, 0.06699440027079073, 0.0701530441697637, 0.09816204337668731, 0.0878814214089936, 0.10490015837046562, 0.14623695066778566, 0.1683613411586343, 0.23789961059140474, 0.17918324745564027, 0.18406829106863473, 0.20392008382171137, 0.16913876180677215, 0.12831853722131215, 0.17584527606940295, 0.2252205694629019, 0.28495883871222993, 0.29189491492091063, 0.2949519028917429, 0.27836314253851563, 0.2643966875306427, 0.29065097283593355, 0.2701301953617427, 0.29408494658676526, 0.24007407154114552, 0.2644948553175719, 0.2739867203251594, 0.31140259904615986, 0.30630474922882645, 0.341268962171666, 0.347064800573074, 0.3046126813353072, 0.3907113458196784, 0.36012363919765183, 0.36134806771313577, 0.408057632291024, 0.44627509492022677, 0.4841053096426501, 0.5296948170419162, 0.5265209674095825, 0.49408427451676795, 0.5533812402899552, 0.610558040714006, 0.6367986358232994, 0.6557453445591716, 0.6860387221322988, 0.7010289735821229, 0.6635574462204686, 0.6357138647305488, 0.6932818576627482, 0.5748193641033735, 0.6594558029661425, 0.6350552744377521, 0.6292898144451047, 0.6357392309869423, 0.6144223280389007, 0.5809199871322932, 0.553164692891168, 0.48470850808598603, 0.528257709655997, 0.4991037645590064, 0.4988265105119356, 0.53023317733289, 0.5500753970728768, 0.4897376042126337, 0.46390384355309167, 0.4232327397350986, 0.4573580379872244, 0.5043403860213265, 0.4587838604202145, 0.5342010193130553, 0.5130473223226133, 0.5532928175607399, 0.5356382261038422, 0.5653060461242624, 0.6147264535474668, 0.6062957315456672, 0.6626357179964855, 0.6260633780409881, 0.6374214719676892, 0.6377616881875665, 0.6551005962069804, 0.5897398162037638, 0.5771987007130509, 0.5852289564036849, 0.586938368199355, 0.5326350478105157, 0.4635525519513516, 0.4356887453832287, 0.46441892907097565, 0.45191113978345204, 0.473139936230923, 0.42349027645191006, 0.4622619090901438, 0.5158957099610342, 0.506707429463761, 0.4174825354564743, 0.38020342241102173, 0.37238393761163474, 0.40023183442941046, 0.40241911433745037, 0.35571591012450554, 0.33068978413142536, 0.29929042279411266, 0.32437187530764894, 0.3061129554268179, 0.22984956264198905, 0.2740617845764721, 0.3333838113957246, 0.29075810620283155, 0.3414057755917265, 0.35042674136428187, 0.378253402491411, 0.3615945140291918, 0.3790545654281698, 0.3841036551288431, 0.36119001656638594, 0.4314991290094985, 0.43714368341736176, 0.43259616709193033, 0.4411050147622171, 0.5435300541658434, 0.5803446093995115, 0.5827004235154611, 0.5792407558445852, 0.5944894757224789, 0.6131227577301658, 0.6919521104596366, 0.7207188332749256, 0.7190542935774191, 0.7273420745642815, 0.669894219173884, 0.6714933690521804, 0.6247869655239388, 0.6804132754894838, 0.6836703784274168, 0.725488898753381, 0.737236433379703, 0.7410405792266556, 0.7689685118974715, 0.6787116762863149, 0.7167231081950737, 0.6702695213477443, 0.7232524876756378, 0.7561522301963277, 0.7766658953803036, 0.8041169316111265, 0.7895787431236454, 0.8338377803077439, 0.7208993619303076, 0.7005180466419573, 0.7683263587517885, 0.8164721448493266, 0.866670378859352, 0.883713673953323, 0.8751700354672214, 0.8979633081047086, 0.9386228337010605, 0.9126799923024883, 0.8635950915420115, 0.8490758331165178, 0.8704353237347254, 0.8255431101414922, 0.7775570521112469, 0.7249864519739595, 0.7761121637565748, 0.8246619741363824, 0.8446278602042043, 0.7961793883185251, 0.7561566144840401, 0.7624344158054382, 0.7608577658545891, 0.7329052548481733, 0.7414543874244842, 0.750247348565161, 0.7637370197259757, 0.710212179375042, 0.8016853130549983, 0.7579552027520946, 0.788404381998163, 0.7995785532923613, 0.8449527081999059, 0.7506130944318111, 0.7475658844522846, 0.7111210855302869, 0.7578851697651606, 0.7156638810787475, 0.717231187920753, 0.7140633468873052, 0.7578638693716294, 0.742917766149561, 0.7824504972551567, 0.8009673174750551, 0.7705919583942845, 0.7532170579871823, 0.7364780691211174, 0.7462536111304015, 0.6980404699744808, 0.7034174219716467, 0.7527580446457863, 0.8365431501561564, 0.891823313178177, 0.965370424228176, 0.9381662381088217, 0.9097973372282048, 0.8848136994365285, 0.8773354702586091, 0.8767641949324877, 0.8675476153124105, 0.8293682393506979, 0.7821447080690079, 0.7731008841714336, 0.798551879497153, 0.7857054379577251, 0.7581292852731845, 0.8136315940219755, 0.7753267371613098, 0.7911250983426125, 0.8196244241139795, 0.7990081282487409, 0.7099950971288642, 0.6800156169698883, 0.6812004528735808, 0.7769740698358308, 0.6876163058510487, 0.6274487299454887, 0.6494374233467081, 0.586616369134342, 0.5905983873342489, 0.5960651865908555, 0.6470195538462455, 0.5873781081771413, 0.5950134645825339, 0.5977049367142094, 0.5968121487689346, 0.5996681772536343, 0.6261976922053198, 0.622294542791072, 0.6637846738627841, 0.7234499123856478, 0.7212132035437757, 0.6899707632129388, 0.7266413155632278, 0.7437878851263993, 0.772472271366345, 0.7002459731818271, 0.6798575439371973, 0.6658625494061002, 0.6230034541038931, 0.6526529021730869, 0.6536375969924342, 0.5932724198156895, 0.6074659743912562, 0.6287849889197423, 0.6433737590718778, 0.6131076745240491, 0.613146264036376, 0.5879770774871835, 0.5218264970372892, 0.5466740488106965, 0.4988745997192427, 0.549704747287559, 0.5574564165716034, 0.500898272002597, 0.5142245156518537, 0.5712427454396566, 0.6147314116321112, 0.67911462537544, 0.6767065507018692, 0.7100541077039035, 0.7628787573687736, 0.754189844588871, 0.7532120347887512, 0.742549694053758, 0.7381580093281722, 0.6816887582315164, 0.6563998722096102, 0.668426496661443, 0.6162790610356481, 0.6552567640024296, 0.6378588028309374, 0.6072427135052647, 0.6344896243174237, 0.6498439180925045, 0.6314219100131522, 0.6067053990928384, 0.6436996831745135, 0.6667414436007347, 0.6505102806442951, 0.6942696180687995, 0.6904843731463322, 0.7713051033882737, 0.7765477533146494, 0.7670021594303942, 0.748240138611238, 0.7789160200664413, 0.7294140515582314, 0.6951071379353135, 0.6720398548158569, 0.6087910790830969, 0.6316745040604346, 0.5445568009587205, 0.49909230197420895, 0.5007134153423639, 0.5373135910482443, 0.5279422304438762, 0.5751818968225967, 0.5595365908439429, 0.5573732869241684, 0.5639340452265311, 0.597908379286522, 0.5677256292798643, 0.5881523347363695, 0.6682763908342412, 0.6411313728942933 ]
101
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Granger Causality" ]
Granger causality is a statistical concept that determines whether one time series can predict another. While you cannot perform the statistical test, you can check if one time series can predict the other by shifting the time series by a certain number of steps. Do they look simiar after the shift?
Causality Analysis
Granger Causality
436
null
The following time series has an anomaly. What is the most likely type of anomaly?
[ "Cutoff: the pattern of time series disappeared for certain point in time and became flat", "Scale: the pattern is at obviously different scale at certain point in time" ]
Cutoff: the pattern of time series disappeared for certain point in time and became flat
multiple_choice
null
null
65
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Cutoff Anomaly", "Scale Anomaly", "Wander Anomaly" ]
Anomaly is an observation that deviates from the general pattern in the time series. You should check if the time series has any sudden changes or unexpected patterns. If so, check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
437
[ -1.9903538202225404, -1.5961850576806123, -1.2020162951386841, -0.8078475325967558, -0.4136787700548276, -0.01951000751289929, 0.37465875502902884, 0.7688275175709567, 1.162996280112885, 1.5571650426548134, 1.9513338051967417, -1.6352050727064111, -1.2410363101644828, -0.8468675476225546, -0.45269878508062644, -0.058530022538698295, 0.3356387400032298, 0.7298075025451581, 1.1239762650870861, 1.518145027629014, 1.9123137901709424, -1.67422508773221, -1.2800563251902817, -0.8858875626483536, -0.49171880010642544, -0.09755003756449732, 0.29661872497743125, 0.6907874875193591, 1.0849562500612875, 1.4791250126032154, 1.8732937751451437, 2.2674625376870723, -1.3190763402160808, -0.9249075776741524, -0.5307388151322243, -0.13657005259029614, 0.25759870995163225, 0.6517674724935602, 1.0459362350354886, 1.4401049975774165, 1.8342737601193448, 2.228442522661273, -1.3580963552418794, -0.9639275926999513, -0.5697588301580232, -0.17559006761609514, 0.2185786949258332, 0.6127474574677616, 1.0069162200096895, 1.4010849825516178, 1.7952537450935457, 2.189422507635474, -1.3971163702676785, -1.0029476077257502, -0.6087788451838221, -0.21461008264189396, 0.17955867990003416, 0.5737274424419625, 0.9678962049838905, 1.3620649675258187, 1.756233730067747, 2.150402492609675, 2.5445712551516033, -1.041967622751549, -0.6477988602096211, -0.25363009766769296, 0.14053866487423539, 0.5347074274161635, 0.9288761899580918, 1.3230449525000196, 1.717213715041948, 2.1113824775838763, 2.505551240125805, -1.080987637777348, -0.6868188752354198, -0.2926501126934916, 0.10151864984843662, 0.4956874123903645, 0.8898561749322929, 1.2840249374742208, 1.678193700016149, 2.072362462558077, 2.466531225100005, -1.120007652803147, -0.7258388902612186, -0.3316701277192907, 0.06249863482263762, 0.45666739736456596, 0.8508361599064939, 1.2450049224484223, 1.6391736849903502, 2.0333424475322786, 2.427511210074207, 2.8216799726161352, -0.7648589052870177, -0.3706901427450894, 0.02347861979683885, 0.41764738233876697, 0.8118161448806953, 1.2059849074226232, 1.6001536699645516, 1.9943224325064794, 2.3884911950484082, 2.7826599575903366, -0.8038789203128165, -0.4097101577708884, -0.015541395228960031, 0.3786273673129681, 0.7727961298548962, 1.166964892396824, 1.5611336549387524, 1.9553024174806808, 2.3494711800226087, 2.743639942564537, -0.8428989353386156, -0.4487301727966875, -0.05456141025475891, 0.3396073522871692, 0.7337761148290973, 1.1279448773710257, 1.5221136399129536, 1.916282402454882, 2.3104511649968105, 2.7046199275387384, 3.098788690080667, -0.48775018782248614, -0.09358142528055802, 0.3005873372613703, 0.6947560998032984, 1.0889248623452266, 1.4830936248871545, 1.8772623874290828, 2.2714311499710114, 2.6655999125129393, 3.059768675054867, -0.526770202848285, -0.1326014403063569, 0.2615673222355712, 0.6557360847774993, 1.0499048473194277, 1.4440736098613558, 1.8382423724032844, 2.2324111349452127, 2.6265798974871406, 3.020748660029069, -0.5657902178740839, -0.17162145533215556, 0.22254730720977256, 0.6167160697517007, 1.0108848322936288, 1.4050535948355571, 1.7992223573774853, 2.1933911199194136, 2.587559882461342, 2.9817286450032694, 3.3758974075451977, -0.21064147035795466, 0.18352729218397368, 0.5776960547259016, 0.9718648172678299, 1.366033579809758, 1.7602023423516862, 2.1543711048936145, 2.548539867435543, 2.9427086299774707, 3.336877392519399, -0.24966148538375355, 0.1445072771581748, 0.5386760397001031, 0.9328448022420313, 1.3270135647839592, 1.7211823273258877, 2.115351089867816, 2.5095198524097437, 2.9036886149516725, 3.2978573774935995, -0.2886815004095524, 0.10548726213237569, 0.49965602467430403, 0.8938247872162322, 1.2879935497581605, 1.6821623123000884, 2.0763310748420167, 2.4704998373839446, 2.8646685999258725, 3.2588373624678013, 3.653006125009729, 0.06646724710657681, 0.46063600964850493, 0.8548047721904333, 1.2489735347323614, 1.6431422972742897, 2.037311059816218, 2.4314798223581464, 2.8256485849000743, 3.2198173474420027, 3.613986109983931, 0.02744723208077815, 0.42161599462270627, 0.8157847571646344, 1.2099535197065627, 1.6041222822484908, 1.998291044790419, 2.3924598073323473, 2.786628569874275, 3.180797332416203, 3.5749660949581314, -0.011572782945020954, 0.3825959795969074, 0.7767647421388353, 1.1709335046807636, 1.5651022672226917, 1.95927102976462, 2.353439792306548, 2.7476085548484765, 3.1417773173904044, 3.535946079932333, 3.930114842474261, 0.3435759645711083, 0.7377447271130364, 1.1319134896549647, 1.5260822521968929, 1.920251014738821, 2.314419777280749, 2.7085885398226774, 3.1027573023646053, 3.4969260649065332, 3.8910948274484616, 0.3045559495453094, 0.6987247120872375, 1.0928934746291656, 1.4870622371710942, 1.8812309997130223, 2.275399762254951, 2.669568524796879, 3.063737287338807, 3.457906049880735, 3.8520748124226634, 0.26553593451951074, 0.6597046970614391, 1.0538734596033672, 1.4480422221452953, 1.8422109846872234, 2.236379747229152, 2.6305485097710797, 3.024717272313008, 3.4188860348549364, 3.8130547973968643, 4.207223559938793, 0.62068468203564, 1.014853444577568, 1.4090222071194962, 1.8031909696614246, 2.1973597322033527, 2.591528494745281, 2.985697257287209, 3.3798660198291373, 3.774034782371065, 4.168203544912993, 0.5816646670098411, 0.9758334295517692, 1.3700021920936973, 1.7641709546356255, 2.1583397171775536, 2.552508479719482, 2.94667724226141, 3.340846004803338, 3.7350147673452665, 4.129183529887195, 0.542644651984042, 0.9368134145259703, 1.3309821770678985, 1.7251509396098266, 2.119319702151755, 2.513488464693683, 2.907657227235611, 3.301825989777539, 3.6959947523194674, 4.090163514861396, 4.484332277403324, 0.8977933995001712, 1.2919621620420996, 1.6861309245840281, 2.0802996871259563, 2.4744684496678846, 2.8686372122098125, 3.262805974751741, 3.6569747372936687, 4.051143499835597, 4.445312262377525, 0.8587733844743728, 1.252942147016301, 1.6471109095582293, 2.041279672100157, 2.4354484346420855, 2.8296171971840134, 3.2237859597259417, 3.6179547222678696, 4.012123484809798, 4.406292247351726, 0.8197533694485737, 1.2139221319905018, 1.6080908945324301, 2.002259657074358, 2.3964284196162864, 2.7905971821582147, 3.1847659447001426, 3.578934707242071, 3.9731034697839993, 4.367272232325927, 4.761440994867856, 1.174902116964703, 1.569070879506631, 1.9632396420485594, 2.3574084045904877, 2.7515771671324156, 3.1457459296743435, 3.539914692216272, 3.9340834547582, 4.328252217300128, 4.722420979842056, 1.135882101938904, 1.5300508644808322, 1.9242196270227603, 2.3183883895646886, 2.7125571521066165, 3.106725914648545, 3.5008946771904728, 3.895063439732401, 4.289232202274329, 4.683400964816258, 5.077569727358187, 1.4910308494550333, 1.8851996119969618, 2.27936837453889, 2.6735371370808183, 3.067705899622746, 3.4618746621646745, 3.856043424706603, 4.250212187248531, 4.644380949790459, 5.038549712332387, 1.4520108344292346, 1.846179596971163, 2.240348359513091, 2.634517122055019, 3.028685884596947, 3.4228546471388754, 3.817023409680804, 4.211192172222733, 4.60536093476466, 4.999529697306588, 1.4129908194034357, 1.8071595819453639, 2.201328344487292, 2.59549710702922, 2.9896658695711484, 3.3838346321130763, 3.7780033946550047, 4.172172157196933, 4.566340919738861, 4.96050968228079, 5.354678444822717, 1.7681395669195648, 2.162308329461493, 2.556477092003421, 2.9506458545453498, 3.3448146170872777, 3.738983379629206, 4.133152142171134, 4.527320904713062, 4.92148966725499, 5.315658429796919, 1.7291195518937659, 2.123288314435694, 2.517457076977622, 2.9116258395195507, 3.3057946020614786, 3.699963364603407, 4.094132127145335, 4.488300889687263, 4.882469652229192, 5.27663841477112, 1.690099536867967, 2.0842682994098958, 2.4784370619518237, 2.872605824493752, 3.2667745870356804, 3.6609433495776083, 4.055112112119536, 4.449280874661465, 4.843449637203392, 5.237618399745321, 5.6317871622872495, 2.0452482843840967, 2.4394170469260246, 2.833585809467953, 3.2277545720098813, 3.621923334551809, 4.016092097093738, 4.410260859635666, 4.804429622177594, 5.1985983847195225, 5.59276714726145, 2.0062282693582976, 2.400397031900226, 2.794565794442154, 3.188734556984082, 3.58290331952601, 3.9770720820679384, 4.371240844609867, 4.765409607151795, 5.1595783696937225, 5.553747132235651, 1.9672082543324987, 2.361377016874427, 2.755545779416355, 3.149714541958283, 3.543883304500211, 3.9380520670421397, 4.332220829584068, 4.7263895921259955, 5.120558354667924, 5.514727117209852, 5.90889587975178, 2.3223570018486277, 2.716525764390556, 3.110694526932484, 3.5048632894744123, 3.899032052016341, 4.2932008145582685, 4.687369577100197, 5.081538339642124, 5.475707102184053, 5.869875864725982, 2.283336986822829, 2.677505749364757, 3.0716745119066857, 3.465843274448613, 3.860012036990542, 4.25418079953247, 4.648349562074398, 5.042518324616326, 5.436687087158255, 5.830855849700182, 2.2443169717970304, 2.638485734338958, 3.0326544968808866, 3.4268232594228145, 3.8209920219647433, 4.21516078450667, 4.609329547048599, 5.003498309590527, 5.397667072132456, 5.791835834674384, 6.1860045972163125, 2.5994657193131587, 2.9936344818550875, 3.3878032443970154, 3.781972006938944, 4.176140769480872, 4.570309532022801, 4.964478294564729, 5.358647057106657, 5.7528158196485855, 6.146984582190513, 2.560445704287361, 2.9546144668292884, 3.348783229371217, 3.742951991913145, 4.137120754455074, 4.531289516997001, 4.92545827953893, 5.319627042080858, 5.713795804622786, 6.107964567164714, 2.5214256892615623, 2.9155944518034898, 3.3097632143454185, 3.703931976887346, 4.098100739429275, 4.492269501971203, 4.8864382645131315, 5.2806070270550585, 5.674775789596987, 6.068944552138915, 6.463113314680844, 2.8765744367776906, 3.2707431993196194, 3.664911961861547, 4.059080724403476, 4.453249486945404, 4.8474182494873315, 5.24158701202926, 5.635755774571188, 6.029924537113116, 6.424093299655045, 2.837554421751892, 3.2317231842938203, 3.6258919468357482, 4.020060709377677, 4.4142294719196045, 4.808398234461533, 5.20256699700346, 5.596735759545389, 5.990904522087317, 6.385073284629246, 2.798534406726093, 3.1927031692680217, 3.586871931809949, 3.9810406943518775, 4.375209456893805, 4.769378219435734, 5.163546981977662, 5.557715744519591, 5.95188450706152, 6.346053269603447, 6.740222032145375, 3.1536831542422226, 3.547851916784151, 3.942020679326079, 4.336189441868007, 4.730358204409935, 5.124526966951864, 5.518695729493791, 5.91286449203572, 6.3070332545776475, 6.701202017119576, 3.1146631392164235, 3.5088319017583522, 3.90300066430028, 4.297169426842208, 4.691338189384136, 5.085506951926065, 5.479675714467993, 5.873844477009921, 6.268013239551848, 6.662182002093777, 3.0756431241906244, 3.469811886732553, 3.863980649274481, 4.25814941181641, 4.652318174358337, 5.046486936900266, 5.4406556994421935, 5.834824461984122, 6.22899322452605, 6.623161987067979, 7.017330749609906, 3.430791871706754, 3.824960634248682, 4.219129396790611, 4.613298159332539, 5.0074669218744665, 5.401635684416394, 5.795804446958323, 6.189973209500251, 6.584141972042179, 6.978310734584108, 3.391771856680955, 3.785940619222883, 4.180109381764812, 4.5742781443067395, 4.968446906848668, 5.362615669390596, 5.756784431932525, 6.150953194474453, 6.545121957016381, 6.93929071955831, 3.3527518416551563, 3.7469206041970846, 4.1410893667390125, 4.535258129280941, 4.929426891822869, 5.323595654364797, 5.717764416906725, 6.111933179448654, 6.506101941990581, 6.90027070453251, 7.294439467074438, 3.7079005891712855, 4.102069351713213, 4.496238114255142, 4.89040687679707, 5.284575639338999, 5.678744401880927, 6.072913164422856, 6.467081926964783, 6.861250689506711, 7.255419452048639, 3.668880574145487, 4.063049336687415, 4.457218099229343, 4.851386861771271, 5.2455556243132, 5.639724386855127, 6.033893149397056, 6.4280619119389835, 6.822230674480911, 7.21639943702284, 3.6298605591196877, 4.024029321661615, 4.418198084203544, 4.812366846745472, 5.206535609287401, 5.600704371829329, 5.994873134371257, 6.389041896913184, 6.783210659455113, 7.177379421997041, 7.57154818453897, 3.9850093066358165, 4.379178069177746, 4.773346831719673, 5.167515594261602, 5.56168435680353, 5.955853119345458, 6.350021881887386, 6.744190644429315, 7.138359406971244, 7.532528169513171, 3.9459892916100188, 4.340158054151946, 4.734326816693875, 5.1284955792358025, 5.522664341777731, 5.916833104319659, -0.011118801180469205, 0.0031890218468938335, 0.0027904129220013766, 0.010105152848065265, -0.005808781340235147, -0.005251698071781476, -0.0057138016575414155, -0.009240828377471049, -0.026125490126936015, 0.009503696823969031, 0.008164450809513273, -0.01523875997615861, -0.0042804606417623445, -0.007424068371191725, -0.007033438017074073, -0.021396206560762396, -0.0062947496092425085, 0.0059772046691260825, 0.02559488031037793, 0.003942330218796011, 0.0012221916522267957, -0.005154356620924533, -0.006002538501059117, 0.009474398210466388, 0.002910340012621821, -0.006355597402746391, -0.01021552194675598, -0.0016175538639752096, -0.005336488038424868, -0.00005527862320126283, 6.193941821784191, 6.5881105843261185, 6.982279346868047, 7.376448109409974, 7.770616871951903, 8.164785634493832, 4.578246756590679, 4.972415519132607, 5.366584281674536, 5.7607530442164645, 6.1549218067583915, 6.54909056930032, 6.943259331842247, 7.337428094384176, 7.731596856926105, 8.125765619468034, 4.53922674156488, 4.933395504106809, 5.327564266648737, 5.7217330291906645, 6.115901791732593, 6.510070554274521, 6.904239316816449, 7.298408079358378, 7.692576841900305, 8.086745604442234, 4.500206726539081, 4.89437548908101, 5.2885442516229375, 5.682713014164866, 6.076881776706793, 6.471050539248722, 6.86521930179065, 7.259388064332578, 7.653556826874507, 8.047725589416435, 8.441894351958362, 4.8553554740552105, 5.249524236597138, 5.643692999139067, 6.037861761680995, 6.432030524222924, 6.826199286764851, 7.22036804930678, 7.614536811848708, 8.008705574390635, 8.402874336932564, 4.816335459029411, 5.210504221571339, 5.604672984113268, 5.998841746655196, 6.393010509197124, 6.787179271739053, 7.181348034280981, 7.5755167968229085, 7.969685559364837, 8.363854321906764, 4.777315444003612, 5.17148420654554, 5.565652969087469, 5.959821731629398, 6.353990494171326, 6.7481592567132545, 7.1423280192551815, 7.53649678179711, 7.930665544339038, 8.324834306880966, 8.719003069422895, 5.132464191519743, 5.52663295406167, 5.920801716603599, 6.314970479145527, 6.709139241687455, 7.103308004229383, 7.497476766771312, 7.891645529313239, 8.285814291855168, 8.679983054397095, 5.093444176493943, 5.487612939035872, 5.8817817015778, 6.2759504641197275, 6.670119226661656, 7.064287989203583, 7.458456751745512, 7.852625514287441, 8.24679427682937, 8.640963039371297, 5.054424161468145, 5.448592924010072, 5.8427616865520005, 6.236930449093928, 6.631099211635857, 7.025267974177785, 7.419436736719714, 7.813605499261641, 8.20777426180357, 8.601943024345498, 8.996111786887425, 5.4095729089842735, 5.803741671526202, 6.197910434068129, 6.592079196610058, 6.986247959151986, 7.380416721693915, 7.774585484235843, 8.168754246777771, 8.562923009319698, 8.957091771861627, 5.370552893958474, 5.764721656500402, 6.158890419042331, 6.553059181584259, 6.947227944126188, 7.341396706668116, 7.735565469210044, 8.129734231751971, 8.5239029942939, 8.918071756835829, 5.331532878932676, 5.725701641474604, 6.119870404016533, 6.51403916655846, 6.908207929100389, 7.3023766916423165, 7.696545454184245, 8.090714216726173, 8.4848829792681, 8.879051741810029, 9.273220504351958, 5.686681626448805, 6.080850388990734, 6.475019151532662, 6.86918791407459, 7.263356676616517, 7.657525439158446, 8.051694201700375, 8.445862964242302, 8.84003172678423, 9.23420048932616, 5.647661611423006, 6.041830373964935, 6.435999136506862, 6.83016789904879, 7.224336661590718, 7.618505424132648, 8.012674186674575, 8.406842949216504, 8.80101171175843, 9.19518047430036, 5.608641596397207, 6.0028103589391355, 6.396979121481063, 6.791147884022992, 7.185316646564919, 7.579485409106848, 7.973654171648776, 8.367822934190706, 8.761991696732633, 9.156160459274561, 9.550329221816488, 5.963790343913336, 6.357959106455264, 6.752127868997193, 7.146296631539121, 7.540465394081049, 7.9346341566229786, 8.328802919164906, 8.722971681706834, 9.117140444248761, 9.51130920679069, 5.924770328887537, 6.318939091429466, 6.713107853971394, 7.107276616513323, 7.50144537905525, 7.895614141597179, 8.289782904139106, 8.683951666681036, 9.078120429222963, 9.472289191764892, 5.885750313861738, 6.279919076403667, 6.674087838945595, 7.068256601487524, 7.462425364029452, 7.85659412657138, 8.250762889113307, 8.644931651655236, 9.039100414197165, 9.433269176739092, 9.82743793928102, 6.240899061377869, 6.635067823919796, 7.029236586461725, 7.4234053490036525, 7.81757411154558, 8.21174287408751, 8.605911636629436, 9.000080399171365, 9.394249161713294, 9.788417924255223, 6.201879046352069, 6.5960478088939976, 6.990216571435925, 7.384385333977854, 7.778554096519782, 8.17272285906171, 8.566891621603638, 8.961060384145567, 9.355229146687496, 9.749397909229423, 6.16285903132627, 6.557027793868199, 6.951196556410126, 7.345365318952054, 7.739534081493984, 8.133702844035911, 8.52787160657784, 8.922040369119767, 9.316209131661697, 9.710377894203624, 10.104546656745551, 6.518007778842399, 6.912176541384328, 7.306345303926256, 7.700514066468184, 8.094682829010111, 8.488851591552041, 8.883020354093969, 9.277189116635896, 9.671357879177824, 10.065526641719755, 6.478987763816601, 6.873156526358528, 7.267325288900457, 7.661494051442386, 8.055662813984313, 8.449831576526242, 8.844000339068169, 9.238169101610099, 9.632337864152026, 10.026506626693955, 6.439967748790801, 6.834136511332731, 7.228305273874659, 7.622474036416586, 8.016642798958515, 8.410811561500443, 8.80498032404237, 9.199149086584299, 9.593317849126226, 9.987486611668157, 10.381655374210084, 6.795116496306931, 7.189285258848859, 7.5834540213907875, 7.977622783932715, 8.371791546474643, 8.76596030901657, 9.1601290715585, 9.554297834100428, 9.948466596642357, 10.342635359184284, 6.756096481281133, 7.1502652438230605, 7.544434006364988, 7.938602768906918, 8.332771531448845, 8.726940293990772, 9.1211090565327, 9.51527781907463, 9.909446581616558, 10.303615344158485, 6.717076466255333, 7.111245228797262, 7.50541399133919, 7.899582753881118, 8.293751516423045, 8.687920278964976, 9.082089041506903, 9.476257804048831, 9.870426566590758, 10.264595329132689, 10.658764091674616, 7.072225213771462, 7.46639397631339, 7.86056273885532, 8.254731501397247, 8.648900263939176, 9.043069026481103, 9.437237789023033, 9.83140655156496, 10.225575314106887, 10.619744076648816, 7.033205198745664, 7.427373961287592, 7.82154272382952, 8.215711486371447, 8.609880248913377, 9.004049011455304, 9.398217773997233, 9.79238653653916, 10.186555299081089, 10.580724061623018, 6.994185183719864, 7.388353946261792, 7.782522708803722, 8.176691471345649, 8.570860233887577, 8.965028996429504, 9.359197758971435, 9.753366521513362, 10.14753528405529, 10.541704046597218, 10.935872809139147, 7.349333931235995, 7.743502693777922, 8.13767145631985, 8.53184021886178, 8.926008981403706, 9.320177743945635, 9.714346506487564, 10.108515269029493, 10.50268403157142, 10.896852794113347, 7.310313916210196, 7.7044826787521234, 8.098651441294052, 8.49282020383598, 8.886988966377908, 9.281157728919837, 9.675326491461764, 10.069495254003693, 10.463664016545621, 10.857832779087548, 11.252001541629477, 7.6654626637263235, 8.059631426268254, 8.453800188810181, 8.847968951352108, 9.242137713894037, 9.636306476435966, 10.030475238977894, 10.424644001519821, 10.81881276406175, 11.212981526603679, 7.626442648700525, 8.020611411242454, 8.414780173784381, 8.80894893632631, 9.203117698868239, 9.597286461410167, 9.991455223952094, 10.385623986494023, 10.779792749035952, 11.173961511577879, 7.587422633674726, 7.981591396216656, 8.375760158758583, 8.769928921300512, 9.164097683842439, 9.55826644638437, 9.952435208926296, 10.346603971468223, 10.74077273401015, 11.13494149655208 ]
The following time series has an anomaly. What is the most likely type of anomaly?
[ "Cutoff: the pattern of time series disappeared for certain point in time and became flat", "Scale: the pattern is at obviously different scale at certain point in time" ]
Scale: the pattern is at obviously different scale at certain point in time
multiple_choice
null
null
65
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Cutoff Anomaly", "Scale Anomaly", "Wander Anomaly" ]
Anomaly is an observation that deviates from the general pattern in the time series. You should check if the time series has any sudden changes or unexpected patterns. If so, check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
438
[ -1.369708911051054, -1.3052260105836337, -1.2407431101162134, -1.176260209648793, -1.1117773091813727, -1.0472944087139524, -0.9828115082465322, -0.9183286077791118, -0.8538457073116915, -0.7893628068442712, -0.7248799063768507, -0.6603970059094304, -0.5959141054420102, -0.5314312049745897, -0.46694830450716956, -0.4024654040397492, -0.33798250357232884, -0.2734996031049086, -0.20901670263748828, -0.14453380217006784, -0.08005090170264742, -0.015568001235227197, 0.04891489923219322, 0.11339779969961344, 0.17788070016703367, 0.24236360063445408, 0.3068465011018745, 0.3713294015692945, 0.43581230203671495, 0.5002952025041354, 0.5647781029715557, 0.6292610034389761, 0.6937439039063964, 0.7582268043738167, 0.8227097048412368, 0.8871926053086573, 0.9516755057760775, 1.0161584062434978, 1.0806413067109184, 1.1451242071783387, 1.2096071076457593, 1.2740900081131792, 1.3385729085805997, 1.40305580904802, 1.4675387095154404, 1.5320216099828605, 1.596504510450281, 1.6609874109177014, 1.7254703113851213, 1.7899532118525423, -0.884981709782146, -0.8204988093147256, -0.7560159088473053, -0.6915330083798849, -0.6270501079124646, -0.5625672074450444, -0.49808430697762396, -0.4336014065102036, -0.3691185060427833, -0.30463560557536296, -0.24015270510794273, -0.1756698046405224, -0.11118690417310195, -0.04670400370568173, 0.017778896761738716, 0.08226179722915894, 0.14674469769657927, 0.21122759816399972, 0.27571049863141994, 0.3401933990988403, 0.4046762995662605, 0.46915920003368095, 0.5336421005011012, 0.5981250009685216, 0.6626079014359418, 0.7270908019033623, 0.7915737023707825, 0.856056602838203, 0.9205395033056231, 0.9850224037730435, 1.0495053042404638, 1.113988204707884, 1.1784711051753045, 1.2429540056427248, 1.3074369061101452, 1.3719198065775653, 1.4364027070449858, 1.500885607512406, 1.5653685079798265, 1.6298514084472466, 1.694334308914667, 1.7588172093820873, 1.8233001098495079, 1.887783010316928, 1.9522659107843483, 2.0167488112517686, 2.081231711719189, 2.1457146121866097, 2.2101975126540294, -0.4647374089806582, -0.40025450851323774, -0.3357716080458175, -0.27128870757839707, -0.20680580711097662, -0.1423229066435564, -0.07784000617613618, -0.013357105708715844, 0.05112579475870449, 0.11560869522612482, 0.18009159569354516, 0.2445744961609655, 0.3090573966283858, 0.37354029709580616, 0.4380231975632266, 0.5025060980306468, 0.566988998498067, 0.6314718989654875, 0.6959547994329076, 0.7604376999003282, 0.8249206003677483, 0.8894035008351686, 0.9538864013025892, 1.0183693017700093, 1.0828522022374298, 1.1473351027048502, 1.2118180031722703, 1.2763009036396906, 1.3407838041071112, 1.4052667045745315, 1.4697496050419514, 1.534232505509372, 1.5987154059767923, 1.6631983064442126, 1.727681206911633, 1.7921641073790535, 1.8566470078464739, 1.921129908313894, 1.9856128087813143, 2.0500957092487346, 2.1145786097161547, 2.1790615101835753, 2.243544410650996, 2.308027311118416, 2.372510211585836, 2.4369931120532566, 2.501476012520677, 2.5659589129880973, 2.6304418134555174, -0.04449310817917018, 0.01998979228824993, 0.08447269275567049, 0.1489555932230906, 0.21343849369051116, 0.27792139415793127, 0.3424042946253518, 0.40688719509277194, 0.47137009556019227, 0.5358529960276127, 0.6003358964950328, 0.6648187969624533, 0.7293016974298736, 0.793784597897294, 0.8582674983647142, 0.9227503988321347, 0.9872332992995548, 1.0517161997669753, 1.1161991002343956, 1.180682000701816, 1.2451649011692363, 1.3096478016366566, 1.374130702104077, 1.4386136025714973, 1.5030965030389174, 1.5675794035063377, 1.632062303973758, 1.6965452044411786, 1.7610281049085987, 1.8255110053760193, 1.8899939058434394, 1.9544768063108597, 2.01895970677828, 2.0834426072457006, 2.147925507713121, 2.212408408180541, 2.2768913086479614, 2.341374209115382, 2.405857109582802, 2.470340010050222, 2.5348229105176427, 2.5993058109850633, 2.6637887114524834, 2.7282716119199035, 2.792754512387324, 2.8572374128547446, 2.9217203133221643, 2.986203213789585, 3.0506861142570054, 0.3757511926223176, 0.4402340930897377, 0.5047169935571583, 0.5691998940245786, 0.6336827944919989, 0.6981656949594193, 0.7626485954268394, 0.8271314958942599, 0.89161439636168, 0.9560972968291006, 1.0205801972965207, 1.0850630977639413, 1.1495459982313614, 1.214028898698782, 1.278511799166202, 1.3429946996336224, 1.4074776001010427, 1.471960500568463, 1.5364434010358834, 1.6009263015033037, 1.665409201970724, 1.7298921024381444, 1.7943750029055647, 1.858857903372985, 1.9233408038404052, 1.9878237043078257, 2.0523066047752456, 2.116789505242666, 2.1812724057100867, 2.2457553061775073, 2.310238206644927, 2.3747211071123475, 2.439204007579768, 2.503686908047188, 2.5681698085146083, 2.632652708982029, 2.6971356094494494, 2.761618509916869, 2.8261014103842896, 2.89058431085171, 2.9550672113191307, 3.0195501117865504, 3.084033012253971, 3.1485159127213915, 3.212998813188812, 3.2774817136562326, 3.341964614123653, 3.406447514591073, 3.4709304150584934, 0.7959954934238054, 0.8604783938912255, 0.9249612943586458, 0.9894441948260664, 1.0539270952934867, 1.1184099957609068, 1.1828928962283274, 1.2473757966957477, 1.311858697163168, 1.3763415976305882, 1.4408244980980087, 1.505307398565429, 1.5697902990328492, 1.6342731995002695, 1.69875609996769, 1.7632390004351104, 1.8277219009025303, 1.8922048013699508, 1.9566877018373714, 2.0211706023047915, 2.085653502772212, 2.150136403239632, 2.2146193037070527, 2.279102204174473, 2.343585104641893, 2.4080680051093135, 2.472550905576734, 2.537033806044154, 2.6015167065115743, 2.665999606978995, 2.730482507446415, 2.7949654079138355, 2.859448308381256, 2.9239312088486766, 2.9884141093160963, 3.052897009783517, 3.1173799102509374, 3.181862810718358, 3.2463457111857776, 3.310828611653198, 3.3753115121206188, 3.4397944125880384, 3.504277313055459, 3.5687602135228795, 3.6332431139903, 3.6977260144577198, 3.7622089149251403, 3.826691815392561, 3.8911747158599805, 1.2162397942252932, 1.2807226946927135, 1.345205595160134, 1.409688495627554, 1.4741713960949745, 1.5386542965623948, 1.6031371970298154, 1.6676200974972355, 1.7321029979646558, 1.7965858984320762, 1.8610687988994963, 1.9255516993669168, 1.9900345998343372, 2.0545175003017575, 2.1190004007691776, 2.183483301236598, 2.2479662017040187, 2.3124491021714384, 2.376932002638859, 2.4414149031062795, 2.5058978035737, 2.5703807040411197, 2.6348636045085403, 2.699346504975961, 2.7638294054433814, 2.828312305910801, 2.8927952063782216, 2.957278106845642, 3.021761007313062, 3.0862439077804824, 3.150726808247903, 3.2152097087153235, 3.2796926091827436, 3.3441755096501637, 3.4086584101175843, 3.4731413105850044, 3.5376242110524245, 3.602107111519845, 3.6665900119872656, 3.731072912454686, 3.795555812922106, 3.8600387133895264, 3.924521613856947, 3.9890045143243675, 4.053487414791787, 4.117970315259208, 4.182453215726628, 4.246936116194049, 4.3114190166614685, 1.6364840950267812, 1.7009669954942013, 1.7654498959616216, 1.8299327964290422, 1.894415696896462, 1.9588985973638826, 2.023381497831303, 2.0878643982987235, 2.152347298766143, 2.2168301992335637, 2.2813130997009843, 2.345796000168405, 2.4102789006358245, 2.474761801103245, 2.5392447015706656, 2.6037276020380857, 2.668210502505506, 2.7326934029729264, 2.797176303440347, 2.861659203907767, 2.926142104375187, 2.9906250048426077, 3.055107905310028, 3.1195908057774484, 3.1840737062448685, 3.248556606712289, 3.3130395071797096, 3.37752240764713, 3.44200530811455, 3.5064882085819704, 3.570971109049391, 3.635454009516811, 3.699936909984231, 3.7644198104516517, 3.8289027109190723, 3.8933856113864924, 3.9578685118539125, 4.022351412321333, 4.086834312788754, 4.151317213256174, 4.215800113723594, 4.280283014191014, 4.344765914658435, 4.4092488151258555, 4.473731715593275, 4.538214616060696, 4.602697516528116, 4.667180416995536, 4.7316633174629565, 2.0567283958282685, 2.121211296295689, 2.185694196763109, 2.2501770972305297, 2.3146599976979503, 2.3791428981653704, 2.4436257986327905, 2.508108699100211, 2.5725915995676316, 2.6370745000350517, 2.701557400502472, 2.7660403009698924, 2.830523201437313, 2.895006101904733, 2.959489002372153, 3.0239719028395737, 3.0884548033069943, 3.1529377037744144, 3.217420604241835, 3.2819035047092555, 3.346386405176675, 3.4108693056440957, 3.4753522061115163, 3.5398351065789364, 3.6043180070463565, 3.668800907513777, 3.733283807981197, 3.7977667084486177, 3.862249608916038, 3.9267325093834584, 3.991215409850879, 4.055698310318299, 4.120181210785719, 4.18466411125314, 4.24914701172056, 4.31362991218798, 4.3781128126554005, 4.442595713122821, 4.507078613590241, 4.571561514057661, 4.636044414525082, 4.700527314992502, 4.765010215459922, 4.829493115927343, 4.893976016394763, 4.958458916862184, 5.022941817329603, 5.087424717797024, 5.1519076182644445, 2.4769726966297565, 2.541455597097177, 2.6059384975645976, 2.6704213980320177, 2.734904298499438, 2.7993871989668584, 2.863870099434279, 2.9283529999016986, 2.992835900369119, 3.0573188008365397, 3.1218017013039603, 3.18628460177138, 3.2507675022388005, 3.315250402706221, 3.3797333031736416, 3.4442162036410613, 3.508699104108482, 3.5731820045759024, 3.637664905043322, 3.7021478055107426, 3.766630705978163, 3.8311136064455837, 3.8955965069130043, 3.9600794073804244, 4.0245623078478445, 4.089045208315264, 4.153528108782685, 4.218011009250105, 4.282493909717526, 4.346976810184946, 4.411459710652367, 4.475942611119786, 4.540425511587207, 4.604908412054627, 4.669391312522048, 4.733874212989468, 4.7983571134568885, 4.862840013924309, 4.927322914391729, 4.991805814859149, 5.05628871532657, 5.12077161579399, 5.18525451626141, 5.249737416728831, 5.314220317196251, 5.378703217663671, 5.443186118131091, 5.507669018598512, 5.572151919065932, 2.8972169974312445, 2.961699897898665, 3.0261827983660856, 3.0906656988335053, 3.1551485993009254, 3.219631499768346, 3.284114400235766, 3.3485973007031866, 3.413080201170607, 3.4775631016380277, 3.5420460021054483, 3.606528902572868, 3.671011803040288, 3.7354947035077086, 3.7999776039751287, 3.8644605044425493, 3.92894340490997, 3.9934263053773904, 4.05790920584481, 4.122392106312231, 4.186875006779651, 4.251357907247071, 4.315840807714492, 4.380323708181912, 4.4448066086493325, 4.509289509116752, 4.573772409584173, 4.638255310051593, 4.702738210519014, 4.7672211109864335, 4.831704011453854, 4.896186911921275, 4.960669812388694, 5.025152712856115, 5.089635613323535, 5.154118513790956, 5.2186014142583765, 5.283084314725797, 5.347567215193217, 5.412050115660637, 5.476533016128057, 5.5410159165954775, 5.605498817062898, 5.669981717530319, 5.734464617997739, 5.79894751846516, 5.86343041893258, 5.9279133194, 5.99239621986742, 3.317461298232732, 3.3819441987001526, 3.446427099167573, 3.5109099996349933, 3.575392900102414, 3.6398758005698335, 3.704358701037254, 3.7688416015046746, 3.8333245019720947, 3.8978074024395153, 3.962290302906936, 4.026773203374356, 4.091256103841776, 4.155739004309196, 4.220221904776617, 4.284704805244037, 4.349187705711458, 4.413670606178878, 4.478153506646299, 4.542636407113718, 4.607119307581138, 4.671602208048559, 4.736085108515979, 4.8005680089834, 4.8650509094508205, 4.92953380991824, 4.994016710385662, 5.05849961085308, 5.122982511320501, 5.1874654117879215, 5.251948312255342, 5.316431212722763, 5.380914113190183, 5.445397013657604, 5.5098799141250225, 5.574362814592443, 5.638845715059864, 5.703328615527284, 5.767811515994705, 5.832294416462125, 5.896777316929546, 5.9612602173969655, 6.025743117864385, 6.090226018331806, 6.154708918799226, 6.219191819266647, 6.283674719734067, 6.348157620201488, 6.412640520668908, 6.477123421136328, 3.80218849950164, 3.8666713999690607, 3.9311543004364813, 3.995637200903902, 4.0601201013713215, 4.124603001838741, 4.189085902306162, 4.253568802773582, 4.318051703241003, 4.382534603708423, 4.447017504175844, 4.5115004046432645, 4.575983305110685, 4.640466205578104, 4.704949106045525, 4.769432006512945, 4.8339149069803655, 4.898397807447786, 4.962880707915207, 5.027363608382627, 5.091846508850047, 5.1563294093174665, 5.220812309784888, 5.285295210252308, 5.349778110719728, 5.414261011187149, 5.478743911654569, 5.543226812121989, 5.6077097125894095, 5.672192613056829, 5.736675513524251, 5.80115841399167, 5.865641314459091, 5.930124214926511, 5.994607115393931, 6.059090015861352, 6.123572916328772, 6.188055816796193, 6.252538717263613, 6.317021617731033, 6.3815045181984535, 6.445987418665873, 6.510470319133294, 6.574953219600714, 6.639436120068135, 6.703919020535555, 6.768401921002975, 6.8328848214703966, 6.897367721937816, 4.222432800303128, 4.286915700770548, 4.351398601237969, 4.415881501705389, 4.4803644021728095, 4.54484730264023, 4.609330203107651, 4.67381310357507, 4.738296004042491, 4.802778904509911, 4.867261804977332, 4.931744705444752, 4.996227605912172, 5.060710506379593, 5.125193406847012, 5.189676307314433, 5.2541592077818535, 5.318642108249274, 5.383125008716695, 5.447607909184114, 5.512090809651535, 5.5765737101189545, 5.641056610586375, 5.705539511053796, 5.770022411521216, 5.834505311988637, 5.898988212456057, 5.963471112923477, 6.0279540133908975, 6.092436913858317, 6.156919814325738, 6.221402714793158, 6.285885615260579, 6.3503685157279985, 6.41485141619542, 6.47933431666284, 6.543817217130259, 6.60830011759768, 6.6727830180651, 6.737265918532521, 6.8017488189999415, 6.866231719467362, 6.930714619934783, 6.995197520402202, 7.059680420869622, 7.1241633213370426, 7.188646221804463, 7.253129122271884, 7.317612022739304, 4.642677101104616, 4.707160001572036, 4.771642902039456, 4.836125802506877, 4.9006087029742975, 4.965091603441718, 5.029574503909139, 5.094057404376558, 5.158540304843978, 5.2230232053113985, 5.287506105778819, 5.35198900624624, 5.41647190671366, 5.480954807181081, 5.545437707648501, 5.609920608115921, 5.674403508583341, 5.738886409050761, 5.803369309518182, 5.867852209985602, 5.932335110453023, 5.996818010920443, 6.061300911387864, 6.125783811855284, 6.190266712322703, 6.254749612790124, 6.319232513257544, 6.383715413724965, 6.4481983141923855, 6.512681214659806, 6.577164115127226, 6.641647015594646, 6.706129916062066, 6.7706128165294865, 6.835095716996907, 6.899578617464328, 6.964061517931748, 7.028544418399168, 7.093027318866588, 7.157510219334008, 7.221993119801429, 7.286476020268849, 7.35095892073627, 7.41544182120369, 7.47992472167111, 7.5444076221385306, 7.608890522605951, 7.673373423073372, 7.737856323540791, 5.062921401906104, 5.127404302373525, 5.191887202840945, 5.256370103308365, 5.320853003775785, 5.385335904243205, 5.449818804710626, 5.514301705178046, 5.578784605645467, 5.643267506112887, 5.707750406580307, 5.772233307047728, 5.836716207515147, 5.901199107982568, 5.965682008449988, 6.030164908917409, 6.0946478093848295, 6.159130709852249, 6.22361361031967, 6.28809651078709, 6.35257941125451, 6.417062311721931, 6.481545212189351, 6.546028112656772, 6.610511013124191, 6.674993913591612, 6.7394768140590315, 6.803959714526453, 6.868442614993873, 6.932925515461294, 6.997408415928714, 7.061891316396134, 7.126374216863554, 7.1908571173309745, 7.255340017798395, 7.319822918265816, 7.384305818733236, 7.448788719200656, 7.513271619668076, 7.577754520135496, 7.642237420602917, 7.706720321070337, 7.771203221537758, 7.835686122005178, 7.900169022472598, 7.964651922940019, 8.02913482340744, 8.093617723874859, 8.158100624342278, 5.483165702707591, 5.547648603175012, 5.612131503642432, 5.676614404109853, 5.741097304577273, 5.805580205044693, 5.870063105512114, 5.934546005979534, 5.999028906446954, 6.0635118069143745, 6.127994707381795, 6.192477607849215, 6.256960508316635, 6.321443408784056, 6.385926309251476, 6.450409209718897, 6.514892110186317, 6.579375010653737, 6.643857911121158, 6.708340811588577, 6.772823712055998, 6.8373066125234185, 6.901789512990839, 6.96627241345826, 7.030755313925679, 7.0952382143931, 7.1597211148605195, 7.22420401532794, 7.288686915795361, 7.353169816262781, 7.417652716730202, 7.482135617197622, 7.546618517665042, 7.611101418132462, 7.675584318599883, 7.740067219067303, 7.804550119534723, 7.869033020002144, 7.933515920469564, 7.997998820936985, 8.062481721404405, 8.126964621871824, 8.191447522339246, 8.255930422806665, 8.320413323274087, 8.384896223741507, 8.449379124208926, 2.1284655061690865, 2.144586231285942, 1.4758525008772698, 1.491973225994125, 1.50809395111098, 1.5242146762278352, 1.5403354013446902, 1.5564561264615455, 1.5725768515784002, 1.5886975766952554, 1.6048183018121105, 1.6209390269289656, 1.6370597520458208, 1.653180477162676, 1.669301202279531, 1.6854219273963857, 1.7015426525132409, 1.717663377630096, 1.7337841027469512, 1.7499048278638063, 1.7660255529806614, 1.7821462780975166, 1.7982670032143715, 1.8143877283312264, 1.8305084534480816, 1.8466291785649367, 1.8627499036817918, 1.878870628798647, 1.894991353915502, 1.911112079032357, 1.9272328041492122, 1.9433535292660673, 1.9594742543829222, 1.9755949794997774, 1.9917157046166325, 2.0078364297334876, 2.0239571548503426, 2.0400778799671975, 2.056198605084053, 2.0723193302009077, 2.088440055317763, 2.104560780434618, 2.1206815055514734, 2.1368022306683283, 2.1529229557851832, 2.169043680902038, 2.1851644060188935, 2.2012851311357484, 2.217405856252604, 2.2335265813694587, 2.249647306486314, 1.5809135760776418, 1.5970343011944967, 1.613155026311352, 1.629275751428207, 1.6453964765450622, 1.6615172016619173, 1.6776379267787724, 1.6937586518956274, 1.7098793770124825, 6.9040004085173505, 6.96848330898477, 7.032966209452191, 7.097449109919611, 7.161932010387032, 7.2264149108544515, 7.290897811321872, 7.355380711789293, 7.419863612256713, 7.484346512724134, 7.548829413191553, 7.613312313658974, 7.6777952141263945, 7.742278114593814, 7.806761015061235, 7.871243915528655, 7.935726815996075, 8.000209716463496, 8.064692616930916, 8.129175517398338, 8.193658417865755, 8.258141318333177, 8.322624218800597, 8.387107119268018, 8.451590019735438, 8.516072920202859, 8.580555820670279, 8.645038721137698, 8.70952162160512, 8.77400452207254, 8.83848742253996, 8.90297032300738, 8.9674532234748, 9.031936123942222, 9.096419024409641, 9.160901924877063, 9.225384825344483, 9.289867725811902, 9.354350626279322, 9.418833526746742, 6.743898605112054, 6.808381505579475, 6.8728644060468955, 6.937347306514316, 7.001830206981737, 7.066313107449156, 7.130796007916578, 7.195278908383997, 7.259761808851418, 7.3242447093188385, 7.388727609786259, 7.45321051025368, 7.517693410721098, 7.582176311188519, 7.646659211655939, 7.711142112123359, 7.77562501259078, 7.8401079130582, 7.904590813525621, 7.969073713993041, 8.033556614460462, 8.098039514927882, 8.162522415395303, 8.227005315862723, 8.291488216330144, 8.355971116797564, 8.420454017264984, 8.484936917732403, 8.549419818199823, 8.613902718667244, 8.678385619134664, 8.742868519602085, 8.807351420069505, 8.871834320536927, 8.936317221004346, 9.000800121471766, 9.065283021939187, 9.129765922406607, 9.194248822874028, 9.258731723341448, 9.32321462380887, 9.387697524276287, 9.452180424743709, 9.516663325211129, 9.581146225678548, 9.64562912614597, 9.71011202661339, 9.77459492708081, 9.83907782754823, 7.164142905913543, 7.228625806380964, 7.293108706848384, 7.357591607315804, 7.422074507783225, 7.486557408250645, 7.551040308718064, 7.6155232091854845, 7.680006109652905, 7.744489010120326, 7.808971910587745, 7.873454811055167, 7.937937711522586, 8.002420611990008, 8.066903512457428, 8.131386412924847, 8.195869313392269, 8.260352213859688, 8.32483511432711, 8.38931801479453, 8.45380091526195, 8.518283815729369, 8.58276671619679, 8.64724961666421, 8.71173251713163, 8.776215417599051, 8.84069831806647, 8.905181218533892, 8.969664119001312, 9.034147019468733, 9.098629919936153, 9.163112820403573, 9.227595720870994, 9.292078621338414, 9.356561521805835, 9.421044422273253, 9.485527322740674, 9.550010223208094, 9.614493123675516, 9.678976024142935, 9.743458924610357, 9.807941825077776 ]
There are two time series given. Is one of them a scaled version of the other?
[ "Yes, time series 1 is a scaled version of time series 2", "Yes, time series 2 is a scaled version of time series 1", "No, they do not share similar pattern" ]
Yes, time series 1 is a scaled version of time series 2
binary
[ 0.13987571929341433, 2.623729223310838, 5.156858590465711, 7.122772289344947, 9.295188016417539, 11.006266059543028, 12.013058209422638, 12.461359226209925, 12.515785555649305, 12.177887260714565, 10.885350597790381, 9.37314604432204, 7.403383203426956, 5.1442594255924, 2.73936929264774, 0.24822091633713697, -2.4712973359836985, -5.100129568407662, -7.284772742605792, -9.510461755418715, -10.910701049478677, -12.05000172375179, -12.584455123511612, -12.43144428176257, -11.843347661316454, -11.041984366756576, -9.378652668011386, -7.46920535559233, -5.056682098273189, -2.507801901085378, 0.22662752101691602, 2.738690992913159, 5.2380273420315415, 7.3039098276247625, 9.293484727470556, 10.914489177398764, 12.2368069647324, 12.535153046110276, 12.67065115724491, 11.938112732006905, 10.906546191512296, 9.358910589230206, 7.354738313847714, 5.192192537982231, 2.4895590592395958, -0.18277183080788117, -2.6451866177591756, -5.068421057945523, -7.480057736003227, -9.12844647540118, -10.909133574532229, -11.97228735404924, -12.627706453440705, -12.464619018620619, -11.877454741491034, -10.889043162363562, -9.329670551689745, -7.379747682222623, -5.213717607982813, -2.474826614492578, -0.031175864447942334, 2.7916687276196885, 5.002800951189229, 7.494725563675482, 9.379666256263013, 10.918092890645132, 11.920891723285742, 12.594525449961761, 12.581115601216242, 12.158663626231103, 10.975851315738481, 9.320207166733514, 7.360997657372827, 5.1558569028604415, 2.767544539993245, 0.038743886518355475, -2.5166830370780624, -5.093865815138277, -7.591840781367259, -9.315590707762766, -10.928174921751387, -11.857107070119381, -12.362311657104815, -12.347158193533875, -11.997209094497645, -10.956132076549759, -9.393015692847257, -7.415716535571628, -5.106908700648894, -2.7111110145358444, 0.0021015349466937537, 2.415672832835569, 5.338601062585425, 7.381018394831106, 9.31845704647794, 10.963414718989531, 12.063862966841887, 12.324568260042177, 12.45888716954243, 12.122175349851958, 10.996343487224566, 9.243914512797383, 7.522713248192474, 5.199166942949869, 2.5380920884188645, -0.0004714702281246093, -2.7890438248145344, -5.042339801526602, -7.249962756784956, -9.395064250941545, -10.909481611678363, -11.937754144741952, -12.550196932129849, -12.73419950768276, -11.872199735536025, -10.788311197408214, -9.292472648278414, -7.264364606866966, -5.136641837975234, -2.5746549387005175, -0.07004321871896545, 2.531440981133614, 4.993224968587223, 7.438514030516744, 9.369828149448214, 11.018768166538536, 11.805911725433711, 12.553876269269633, 12.700137501038617, 11.991808181304656, 10.998989555770297, 9.595395854853255, 7.540533242621231, 4.980910172683884, 2.587776822481848, 0.036003036638851516, -2.6254133650101856, -4.992150758350144, -7.406019660686743, -9.368078161813225, -10.800440178631789, -12.120872352468242, -12.478659439674056, -12.590688782155137, -11.902436918706078, -10.945477560856537, -9.309749690318952, -7.45866602576747, -5.32143198116656, -2.582876565852203, -0.12987658757109183, 2.7686345953570877, 5.179827683530884, 7.476595780948507, 9.332750144601276, 10.906999171714173, 11.743394020353778, 12.56680812936421, 12.413339910685748, 12.011599409652058, 10.79929792957414, 9.422543729985591, 7.422243172209091, 4.99198925947846, 2.7540679283134137, -0.019623789456574864, -2.707133166214179, -5.01986494706167, -7.459048413301768, -9.3780024438856, -10.755842508929517, -11.940217602763775, -12.465701235006795, -12.538752627030044, -12.046263789076244, -10.941921304824938, -9.59741213478501, -7.336886067952778, -5.0642799021306635, -2.7676370897891465, 0.03789433234850756, 2.3198231130263496, 5.337022548281029, 7.346873463985411, 9.309555133640433, 10.983408612682258, 12.026670725362074, 12.374464542537241, 12.53217813949187, 12.022714128795304, 10.825341817274918, 9.439985831752983, 7.276663098041434, 5.1835591279833135, 2.4695685537907153, -0.042436800888783204, -2.7818869444307137, -5.043361782149748, -7.279033751499858, -9.190426531071962, -10.950237682845684, -12.057275422274822, -12.426106599419287, -12.52142991758164, -12.04393635988646, -10.97400896538604, -9.358115665468052, -7.281905262327226, -5.228985201296069, -2.4871788422297163, -0.0180282141884648, 2.7406136526691167, 5.102770505044171, 7.487842123133226, 9.278011545414444, 10.951249180678257, 12.045194404947827, 12.341560968972189, 12.691176424613422, 11.834709657544067, 11.01724310693204, 9.311628902394393, 7.480903184669368, 5.165990598007421, 2.584369610856952, -0.08855947885174305, -2.643517671665131, -5.171526446918715, -7.3672337095349265, -9.352471222162082, -10.988472842638064, -12.102741082801163, -12.568846850626345, -12.535626805217195, -12.055303804473247, -10.870930610812282, -9.383173941946234, -7.305734141549902, -5.086046408110775, -2.5593103343810117, -0.05715043047411831, 2.7472810177043865, 5.14910410476972, 7.535763968641759, 9.448566475628144, 10.888444525150344, 11.919449359191287, 12.537749099719903, 12.498876999549461, 11.909556056881891, 10.803045507543615, 9.553498169100639, 7.268633262128099, 4.930976196172834, 2.657522400592748, -0.07220506512231269, -2.648754247337948, -5.260472338817143, -7.363339613666776, -9.332719307221163, -10.813812506376564, -11.924833940542433, -12.556467204961763, -12.688690615034561, -12.05973144610306, -10.9938921486512, -9.471306093620962, -7.274575154615251, -4.984413071820923, -2.6702510675110926, 0.0809023009830919, 2.644878156927604, 5.065112956175578, 7.413576609800305, 9.164722954682757, 10.7516979737666, 12.022283391628518, 12.621748485170436, 12.61802804572096, 11.874693588534406, 10.997100085642007, 9.427238636445614, 7.449876231366726, 5.109388082300052, 2.566600635097595, 0.07342367257721041, -2.5392268616577343, -5.144300475296347, -7.361208636574888, -9.314653640664817, -10.919211937114627, -12.04936065193732, -12.520480626457188, -12.440942477498734, -12.066681588070724, -10.79306745095164, -9.434613257531787, -7.222257918388266, -5.043528116204007, -2.6630931800159447, -0.13535041627779365, 2.5640102783440892, 5.09292114768032, 7.371038676147181, 9.293837771008628, 10.912279140305966, 11.97099672136515, 12.448673940321642, 12.633237342256024, 12.092282693780925, 10.91036709539947, 9.455732861902069, 7.468180625957473, 5.063283138461203, 2.6623483973820785, -0.08808938796639149, -2.712908338458114, -5.062553835498454, -7.352726647136317, -9.315994425529698, -10.894722498332014, -12.151311553293805, -12.67732756758444, -12.49005807075685, -11.906466385563158, -10.9800270558637, -9.191434691004384, -7.468002421674604, -5.0048481998011995, -2.7849582136532436, -0.08344713944755736, 2.653677695853907, 5.091804973633115, 7.486680388859616, 9.387371135922843, 11.053191058118855, 11.930062925462725, 12.418160179610677, 12.504999194673148, 11.939144754264795, 10.841838440274808, 9.274200318687496, 7.260769618309736, 5.252755663486771, 2.4704884095069475, -0.008391777319860934, -2.606023561808709, -5.08760173151673, -7.408661224624422, -9.504708516583156, -10.988137968577046, -11.985406442082752, -12.52824672144274, -12.647363327857011, -11.917225373798571, -10.99913986375962, -9.1937627888975, -7.596735824785035, -5.070121643445772, -2.6048941827293985, -0.01768137819717545, 2.6807227242606335, 5.050763365635008, 7.371852833002393, 9.251847376475425, 11.042430675841825, 11.925768710830472, 12.469820241424626, 12.658249084823293, 11.809169086066644, 11.074299176834138, 9.350555058941993, 7.5054434669529675, 5.175307416418007, 2.423952078743166, 0.06689211885920511, -2.7259734896437116, -5.147942659138296, -7.234351658096218, -9.417247671597563, -10.797014208123224, -12.07642369060383, -12.380266749392286, -12.539330958493881, -11.93593321525633, -10.918467259127857, -9.358690938119821, -7.539577067398204, -5.174565135151807, -2.69140057816032, -0.13086785971573395, 2.62672991433005, 5.263728548911389, 7.314875595049755, 9.5284144352202, 10.894974561198175, 11.934657295238827, 12.50058324327313, 12.752203977941663, 12.017413876917013, 10.946501581433617, 9.422276450186454, 7.2722171187274345, 5.2337446055722046, 2.5360166140498346, -0.09501367686410636, -2.6656142818102087, -5.147621583584535, -7.403874934862008, -9.391662933280594, -10.963948678713686, -12.045638085508402, -12.523931699949381, -12.704020227517821, -11.977425329447525, -10.78170475855785, -9.330178825281118, -7.330004070362431, -4.9855245650555755, -2.5563896818426093, -0.05801847476725802, 2.5692597088926057, 5.134774877283137, 7.280781806449309, 9.613677785193186, 10.90943288919461, 12.129891300102582, 12.511063848732595, 12.534558263992272, 11.97549391451209, 11.036509143979334, 9.609619795559487, 7.257903648319884, 5.099121216852738, 2.6614010005513413, -0.17457073775220358, -2.6818510647825615, -5.081115524846569, -7.453422957601639, -9.35866114864476, -10.858872302802464, -12.032185009333359, -12.62325533786424, -12.626163194186589, -12.204103119863857, -10.854935736467956, -9.377361465052584, -7.2830101771517155, -5.058977160644136, -2.6112457083704808, 0.03576637487947469, 2.4458357706084204, 5.1594396410812315, 7.3832752794025955, 9.289165570658268, 10.866380118857077, 12.04636775351935, 12.470603439910258, 12.503341382070253, 12.037235337424057, 10.88337533103847, 9.378831798168, 7.393518204393952, 5.233973255332757, 2.636088037890743, -0.16390606898375648, -2.5393172609628496, -5.188369146848848, -7.455513207595699, -9.382522522065434, -10.68862607007348, -11.92761264063968, -12.335476384285078, -12.521560298666515, -11.90662751051881, -10.729637219675674, -9.27899184117988, -7.3628033729731275, -5.260397087348125, -2.7203684610717715, 0.029791672165308387, 2.7201796999224164, 5.1099128087832755, 7.471500183496181, 9.276498088164708, 10.84533133679154, 12.028049550861143, 12.53332887586474, 12.48950869717233, 11.92668692767147, 10.75886058482708, 9.35869179801584, 7.2582769469561415, 5.092605631408835, 2.6021334134319036, 0.14295299423852417, -2.7241519364426727, -5.075546516368816, -7.386733286653183, -9.466583984187542, -10.902640771255879, -12.112350026980783, -12.521366020690678, -12.54925960114517, -11.891231257401303, -10.98031576777286, -9.583257829152835, -7.461831781859178, -5.061246719030842, -2.604231931189613, -0.05730280080110663, 2.7399921254173156, 5.09549096271103, 7.4824650755986974, 9.363438850718914, 10.976168760570223, 12.056911143319665, 12.66152609418885, 12.449433775658271, 12.037087767070608, 10.785783031411235, 9.41699305377181, 7.235367681962766, 5.316146564143134, 2.6522897375356655, 0.02255991317349411, -2.7834459516673524, -5.022276302341452, -7.279451935579427, -9.383895298059278, -10.952488319591662, -12.01759470013406, -12.35479624445856, -12.53730895788758, -11.963474062591716, -10.8138868735941, -9.604907246217378, -7.412229909052018, -5.151666955550694, -2.6037927395280454, 0.08069975643292207, 2.716397600193206, 5.09991188894129, 7.389548261305967, 9.363485683725768, 10.984666898484637, 12.094796427897924, 12.387000947463129, 12.56504733595488, 11.960018964850928, 11.113793334026022, 9.250830607145168, 7.288058350974803, 5.064102326620339, 2.6782866752942356, 0.06038648949647066, -2.6737248393001667, -5.021801153369954, -7.447557471539449, -9.275867810122639, -11.048208587902794, -12.076446944135858, -12.569005290564386, -12.533589063277283, -12.063866988163388, -10.994356912029776, -9.315914847989655, -7.322242599757387, -5.201156780718062, -2.753153460447664, 0.009703349292124836, 2.6653901898979098, 5.018495658595179, 7.571484044512294, 9.27325296365397, 10.882434740282427, 11.955114128793443, 12.446194612049865, 12.708993114197234, 11.886625006970524, 11.082567798803394, 9.33096164377619, 7.374146782052792, 5.058593022138684, 2.687123447189764, 0.1983192868228712, -2.675397692790624, -5.1536574310814185, -7.257783371583342, -9.472805008085423, -10.987042375704497, -11.84305250765827, -12.48534127540949, -12.614010393464723, -11.91782196021555, -11.06298913986872, -9.252520992114192, -7.600791145253098, -5.225652220583821, -2.581495171626823, -0.12621701705060845, 2.6200221270521262, 5.180094923596525, 7.330177371064907, 9.349136780267184, 10.992739310854919, 12.024845610741636, 12.679320208968903, 12.443558318958562, 11.880395890578242, 11.040519075616627, 9.399025363304665, 7.378837201585141, 5.065053819686461, 2.700374055904435, -0.03863413546553242, -2.541050616139939, -4.996797408645355, -7.393659460328988, -9.496789824578068, -10.852055278092873, -11.869270115622191, -12.407515151947958, -12.511032631044271, -12.151596964694376, -10.95432935482116, -9.410707573701774, -7.3186921455385425, -5.082230853776479, -2.5290475619287047, -0.0680474994615721, 2.640245281882376, 4.894056796031247, 7.363125577754011, 9.212679491853253, 11.082802356024532, 12.02672584017008, 12.570126561872987, 12.405015723458408, 11.967098075121926, 10.97493829070055, 9.273889680544642, 7.358354282080506, 5.234091176173478, 2.511748238684938, -0.043175873306368344, -2.7007410781177006, -5.089566353493222, -7.326528020938769, -9.200418886513011, -10.869335464870302, -11.855258105956379, -12.490821599352437, -12.664193208690588, -11.976020969919595, -10.903392968982308, -9.254446813731018, -7.41347165258148, -5.160599693249314, -2.7041197728208592, -0.026124960549570322, 2.610041479652117, 5.1830963198862365, 7.322504378876321, 9.595072963480872, 10.818479162868229, 11.852105127040536, 12.57851331528101, 12.39967571809834, 11.982559899745098, 10.83964581755724, 9.42627687201882, 7.419545942474057, 5.237695260973454, 2.6613384792140833, 0.004765953671907832, -2.598505118226045, -5.220341228102394, -7.473986643047976, -9.33911457051214, -10.849441828330752, -12.0125374013862, -12.548783308413881, -12.566923365115588, -11.942363754688024, -10.908520185765889, -9.299135533991246, -7.4658091050093125, -5.128900581823007, -2.467874712106721, 0.20366543963871775, 2.5954019700670146, 5.255040335282909, 7.530829695277832, 9.443018675782799, 10.731272377457868, 11.83800767899507, 12.47686529396036, 12.477572023670367, 11.88868412550855, 10.964513005203688, 9.422218470306857, 7.583188259021026, 5.062789959106608, 2.5538679285280845, 0.01869136899838189, -2.747762084381633, -4.936495391547673, -7.439813290530653, -9.368979509082092, -10.895297879061495, -11.994788016030425, -12.555072088024492, -12.292005614954364, -11.971360656185862, -10.860682091260532, -9.410431340253506, -7.342490616156227, -5.1203361670553935, -2.5940419304865325, 0.0477528737286666, 2.707222060759252, 5.193430477801257, 7.4017347100160045, 9.361619511906664, 10.797662607123875, 11.962509580026238, 12.538306871345837, 12.619187162188288, 11.743202028536393, 10.939828692666739, 9.28374065448265, 7.481694628608086, 5.256373097558259, 2.614140746248372, 0.14347023407693016, -2.5321635022203717, -5.10956266070002, -7.564360296895286, -9.322548197051795, -10.991759383444586, -12.265934369314376, -12.637513178777546, -12.392669072740775, -11.967074360320963, -10.786164706391183, -9.203550597498479, -7.376341500006317, -5.181194590099072, -2.724455564801856, -0.00631619372528727, 2.5297387786099903, 5.010145669343417, 7.339464611526291, 9.334254047355394, 10.884858080629588, 11.971055557900197, 12.57006351427699, 12.509417755989336, 12.055392817448617, 10.980276498803587, 9.460974451567782, 7.392311210116224, 4.999484586316239, 2.594911965881193, -0.0968224677048469, -2.5392654911468706, -5.271248667225254, -7.369973581576337, -9.340879269728388, -10.835590261760922, -11.952735588819321, -12.532213713296779, -12.636823363462346, -11.809395483251139, -10.914056045293203, -9.39621867663798, -7.392529464019151, -5.010576463794939, -2.644112028803831, 0.11508196381734241, 2.639513551309755, 5.1969222343360935, 7.429784189689203, 9.428384477636643, 10.996626683966623, 12.02327391763386, 12.687040936621418, 12.515905264485854, 12.098400713844, 10.846751554517185, 9.401632532385053, 7.321219707486782, 5.042208798578148, 2.750415686434644, 0.20881877353874018, -2.6350988628988556, -5.224101760537239, -7.405151261805988, -9.438115567058668, -10.779125581840507, -11.91971196897131, -12.469287045164876, -12.538934957456892, -12.051848228425012, -10.803291215287798, -9.372024060669112, -7.507666201922582, -4.968298298640732, -2.3718599317821885, 0.015729418733911513, 2.654595544842999, 5.304683274736841, 7.374296895622266, 9.47354395573441, 10.851696461095838, 12.028088271818502, 12.431020067966452, 12.50193904174232, 11.814197700351013, 10.958054085478809, 9.401017992336044, 7.301993041647954, 5.343010801142816, 2.6266048764924843, -0.014051711113232819, -2.716738028255201, -5.045354065149287, -7.493767236904491, -9.284554427245972, -10.996483555738322, -11.93653467127485, -12.546908133863635, -12.449083085416854, -12.110098059219116, -10.863236896121224, -9.459122598177341, -7.468722941812656, -5.065480278014707, -2.614306271311422, 0.0373378285560479, 2.6941492649552656, 5.140043266096745, 7.39030921535673, 9.26096021463683, 11.128519734636283, 12.03473897678651, 12.52757537700983, 12.495491226097323, 12.000742034502698, 10.908399882104021, 9.413906987421445, 7.346674748706438, 5.291439761227149, 2.687949945703805, -0.1807104868156812, -2.5901724708066958, -5.0429199049213045, -7.536026325400011, -9.250892723650205, -10.845878981298362, -12.11086449815786, -12.544791100940156, -12.641779873061454, -11.896322173193171, -11.010679616517669, -9.454486570053033, -7.395829164665583, -4.916396017844797, -2.496857179485319, -0.09892279354183016, 2.4964975910979805, 5.0643229402133265, 7.263847344650259, 9.439738015304531, 10.974771147698204, 12.071375829967563, 12.532408945562215, 12.539530266612479, 11.873424255484592, 10.936402162516561, 9.487456519841427, 7.361017920337618, 5.164129695562383, 2.625744651822097, -0.05333228188746712, -2.5674687624672288, -4.94173052763275, -7.266533503271848, -9.445178037528873, -10.89702061608855, -11.906869943560574, -12.519211215611081, -12.656009210999391, -12.055662581732015, -10.84616283992326, -9.168182892699285, -7.468770815741194, -5.218719425420526, -2.5061327028821463, 0.023442883444538286, 2.5800720342174364, 5.1041482223053665, 7.389884241340706, 9.436160380900082, 10.931671748526798, 11.826964906702901, 12.514794041567038, 12.71109497459976, 12.090936271500704, 11.034315797528727, 9.277499395474853, 7.440185549731403, 5.218410872032877, 2.6263841993642045, 0.11831310641528908, -2.7046147295441867, -5.102147265485592, -7.46339532427936, -9.213353475832221, -10.91441131112852, -12.001058940404253, -12.641142926439157, -12.444686683008957, -11.935811446296524, -10.910727060679074, -9.300723334491057, -7.296902630630305, -5.1032707745713966, -2.574510088041003, 0.054168086626767975, 2.442846606894574, 5.170608432231598, 7.240327613825634, 9.36178698041227, 10.965242621119662, 11.797345300776108, 12.532687196957088, 12.492148865563292, 11.955139809336764, 10.986577691887007, 9.551072585015632, 7.47757355808491, 5.12598634970554, 2.4843194310382124, 0.1367675432139035, -2.6352889413870413, -5.292091123368801, -7.519646292636998, -9.487960581697685, -11.020316998595169, -11.87860307691942, -12.507685150792678, -12.473421176721542, -12.260114471482874, -10.832140879441187, -9.298062969393433, -7.583178696269631, -5.247957551108374, -2.5051615364141697, -0.05962043149163522, 2.719904830148095, 5.124479605386112, 7.352762883596449, 9.347046540253372, 10.709780827680092, 12.018078828812083, 12.407583996005016, 12.344544599095618, 11.831845246477322, 10.81801720779789, 9.419550135759655, 7.324144504841285, 5.1987072860377905, 2.707489628788258, 0.09647004452902005, -2.43520715801921, -5.076359020403405, -7.345903095332958, -9.425346110134223, -11.140164868195393, -11.947694495729369, -12.664330169374194, -12.667330228460727, -12.096462129174407, -10.844063918271782, -9.26441033747093, -7.3879556214611934, -5.23428908318769, -2.647274700664326, 0.14106745517038843, 2.592435671424963, 5.073279341062441, 7.539284721607093, 9.589113934091193, 10.876070998143065, 11.817081102801914, 12.53525594187142, 12.493780373356087, 12.128008339654858, 10.780761372001077, 9.26924517650085, 7.367037592471716, 5.192813410388434, 2.513139126421631, 0.10727791336303921, -2.668090011309132, -5.274858370777814, -7.48870382913595, -9.497730355635822, -11.038076652743396, -11.787318761648908, -12.513694784342094, -12.421305953291641, -12.021129277309726, -10.847983820169892, -9.441616892376917, -7.232846418025282, -5.148775775967537, -2.7034846192762294, -0.1276197668994286, 2.5043697457619434, 4.996094705701989, 7.576683339728358 ]
[ -0.021727857958679733, 0.3508255700049861, 1.0725118145029227, 1.2266970206098935, 1.2327495570197404, 1.7172331994828567, 1.7023218486696434, 1.8044334442257512, 1.7581644767367592, 1.7229106629940765, 1.522278050672372, 1.3241184601243696, 1.0322435361337596, 0.7902100934625049, 0.4302170543316105, 0.013584482098710122, -0.2317809582190077, -0.6365382398943532, -0.9423543569146576, -1.4324234769920816, -1.6983160216296773, -1.7100759546452236, -1.775873264267621, -1.9172554125227967, -1.7048104977566252, -1.7546533336120314, -1.392195625339681, -1.2042926744695988, -0.7016861651719606, -0.3008589405092699, -0.2084433455466761, 0.06990949034762439, 0.9016947189014122, 0.9569203335637784, 1.3030952235453803, 1.477431085016504, 1.854335916122729, 1.9115952599744166, 1.7830588339070437, 1.8059934374251196, 1.6106386294898445, 1.3885634558199753, 1.1370378981443927, 0.7424280297367819, 0.3282361677528237, 0.08911402683752986, -0.36392260916738717, -0.7445442130919302, -1.0630244918670986, -1.4202289700651862, -1.7145101613669067, -1.801311124494232, -1.7952241379663998, -1.826124625962585, -1.8472078104938532, -1.7236481558295804, -1.4797664432146913, -1.0916121193058792, -0.5835495132113306, -0.500563939046011, 0.07131076604384463, 0.2402599305991125, 0.820079313188496, 1.0057614496382778, 1.34911399781028, 1.65292612387209, 1.7465831760731074, 1.8416449189311572, 1.8273390652879298, 1.9230167230420339, 1.454844954188735, 1.3438694958403907, 1.0751253747061291, 0.6543749809581757, 0.45981499235074913, -0.04359966252428511, -0.29858276142137163, -0.7348181111417328, -1.1106704620018693, -1.1857945084554382, -1.7658209538629646, -1.6760206362716255, -1.6774833074802438, -1.9664857366069337, -1.7407994767958557, -1.535217029251491, -1.4446296331284663, -1.0177480533472258, -0.6007977086815475, -0.30657019719957923, 0.1879302514852944, 0.27427840531080794, 0.7206056253583304, 0.9216200700950925, 1.3108506956924528, 1.6337663040742507, 1.7643397604883115, 1.7623062607034912, 1.8047866321718555, 1.5399722701599896, 1.5864159208392687, 1.513534173346045, 0.9197224079193406, 0.7407753591664519, 0.5166221004388785, -0.1022477260947324, -0.3998003770716164, -0.6267472358364212, -0.8143377975828463, -1.3318128231579645, -1.5480196361561216, -1.8551575705691759, -1.7809942899304738, -1.8489817354121203, -1.7042078524833983, -1.5343384266065576, -1.3809790123763628, -0.944452439534531, -0.6885451462698101, -0.4522231670907801, -0.12314613363372807, 0.5249306654578808, 0.8546257160448394, 1.1021212611949076, 1.228202992929388, 1.552673647815967, 1.7901815516276467, 1.7248020694808712, 2.005799533155302, 1.6174876562045624, 1.4648135490590344, 1.3803839110739224, 1.2001961817648168, 0.4900970392002232, 0.29541874618651603, -0.273471849333684, -0.24897446511136204, -0.8274518257630556, -0.9077254662032664, -1.5292073315358334, -1.6893988264089694, -1.7749327626080849, -1.7719568954034088, -1.8123579661884428, -1.803278505016442, -1.8273529714291619, -1.386120779880617, -1.0941503775714254, -0.7923998672911866, -0.24637750790101962, -0.02641077084343539, 0.5245350335996184, 0.7936428570019258, 1.1292961526299725, 1.4434758796505553, 1.6189853281423476, 1.6986200997874146, 1.8656279683247505, 1.9041763522142474, 1.789064832177393, 1.4344010351950678, 1.4390201143920904, 1.1483645795485555, 0.8277852411867467, 0.3484308899199226, -0.07419108762144917, -0.3838797256409167, -0.6493725268314522, -1.2188049078033494, -1.3546965425882718, -1.7817465553551062, -1.8794188433327546, -1.7087310091169838, -1.7909152269167006, -1.8501882778461973, -1.5185505862649686, -1.4195209844667842, -1.0323049853346955, -0.6994514237446581, -0.31287217180846344, 0.09031813314421608, 0.35999618383894916, 0.7204098218636468, 1.2084959647790239, 1.2703188970283887, 1.6338848304993905, 1.6717087591948179, 1.8225211878014569, 1.9946029677320185, 1.614764805436415, 1.439185375939749, 1.499105087482032, 1.0982515490088207, 0.6728463721903005, 0.3671395645808383, -0.020016292296456385, -0.40823526799635523, -0.6078466040198935, -1.165150412981039, -1.3801681962688939, -1.6902233331771033, -1.758972225269348, -1.882852566087003, -1.7859606631713572, -1.7525003852590706, -1.5242702793912668, -1.2237884966153594, -1.1915331751733291, -0.7288324543528487, -0.5383871651721651, 0.005382823553304854, 0.43501568675008634, 0.7104710859088627, 1.1133872701809036, 1.3898541472753951, 1.640861940892257, 1.6177584580868998, 1.9260581352787942, 1.7853837399463877, 1.572676313689173, 1.4907591321085183, 1.2321883539153906, 1.0205222234499065, 0.6572878497384388, 0.22686341784965194, -0.16722398228476396, -0.3823077886896844, -0.6011036262143051, -1.0606772609060402, -1.4175448486481423, -1.688581554866273, -1.865845968821303, -1.8437042435346358, -1.8372779055654231, -1.6828240628065478, -1.618298877132922, -1.2191854179464718, -1.203571161752191, -0.8557214077875032, -0.3389078398906251, -0.048913624542727616, 0.32398591079100447, 0.6650497750843807, 0.9355980774854232, 1.1477731703547263, 1.5154581519855332, 1.624391111673007, 1.8470105069500946, 1.8118688743760212, 1.6731891958598142, 1.5314038790612567, 1.4672524630526618, 0.9921999900660688, 0.8371578391621023, 0.5152773007754278, 0.029169350439639356, -0.41811084268773296, -0.7630690809221963, -0.9971651288852137, -1.3922874213658685, -1.3434861614484745, -1.8169805262287149, -1.747560526101017, -1.7232840208879523, -1.9021741641931802, -1.5617088408415147, -1.3886328878670675, -1.1062075419284065, -0.6433488509692191, -0.40173504262702353, 0.14375917836579988, 0.25412477462184124, 0.6264880909867634, 1.0432087003083044, 1.2956941742081143, 1.4999618284335385, 1.5082560326517862, 1.921455184096351, 1.8538605309755654, 1.789385316717623, 1.505222744856126, 1.4129716089090805, 1.2916512465297523, 0.8012371785719345, 0.3804027340337708, 0.010196670455814755, -0.2566782629842827, -0.8582231313355138, -1.0851901364621084, -1.354714406555432, -1.5452702773256821, -1.8110285128352481, -2.0164725968564845, -1.8115388346811823, -1.50137428543738, -1.5398867680371167, -1.4746574769344112, -1.1236278155188093, -0.770093057779231, -0.22197799573773364, -0.01315314309942383, 0.48964550884770364, 0.7631200910047656, 1.0822918039954945, 1.2577187900650004, 1.6622269849351112, 1.6836642792874126, 1.9300154665101519, 1.8202228224015033, 1.7286253214181952, 1.508540172662237, 1.3112062541811664, 1.0282181860887716, 0.7478246083944804, 0.538561127373129, -0.1443034087173689, -0.3667761641459282, -0.5657313829373842, -1.1919860233958137, -1.3995303704415292, -1.4966561521468598, -1.8587193932905277, -1.6658472401579338, -1.6916607401777684, -1.7110917154717307, -1.8782601515062762, -1.4062741964054117, -0.9750119731471045, -0.7799752595860376, -0.3790322336153591, 0.20276031752334314, 0.41196663249266985, 0.7666102433541893, 1.0363975394934242, 1.515426345204978, 1.6854859050983868, 1.6903513348458734, 1.7451390165191116, 1.735844992627773, 1.6919275824594653, 1.5049777859446836, 1.3701513987765612, 1.1590476469336295, 0.6641680344416371, 0.30956289090982064, -0.06057281374544775, -0.34696009374507153, -0.8442739820614138, -1.2226600588306675, -1.3824256219046904, -1.5750570151022765, -1.7514137694044942, -1.8284214649070796, -1.733866022617805, -1.6203835778180058, -1.5887274790436439, -1.3457971211403237, -0.8904519960826831, -0.7685280520176896, -0.42187077234981724, -0.13485748301329595, 0.44808427810244533, 0.5992290102115969, 1.0107834062710515, 1.256672982052494, 1.4543095070893912, 1.8892615865261646, 1.8310514176004056, 1.6583462029806966, 1.7696221518406436, 1.6833459396789585, 1.4052463299335034, 1.1874070812026518, 0.7996064988612605, 0.45862228391732546, -0.00941236511682181, -0.22924301130575747, -0.6618955910282756, -1.0461032883839636, -1.442550129679522, -1.4770801908602103, -1.6188002661761085, -1.6027058122027675, -1.8225026589112443, -1.6975361807190703, -1.5439014171997567, -1.5527732071478944, -0.9878347688620113, -0.6951975798629312, -0.42365764667439937, -0.08138677265668072, 0.2660855896913469, 0.8069620595171669, 1.0063526818017063, 1.4103079925443478, 1.5753003142795174, 1.766344685178391, 1.949529747663283, 1.8704127917083577, 1.7818090053309603, 1.5292848740981995, 1.4088514805893027, 1.0717215629012273, 0.6134264017464591, 0.3644485404455669, 0.12212605328075471, -0.46828341030609577, -0.7081776072686174, -1.0844331804869407, -1.3560177082832694, -1.6023044853936044, -1.7102931353162556, -1.9188172223432507, -1.7614296299009646, -1.781754955269107, -1.5643728775008465, -1.3342728764647256, -1.0478500543995177, -0.7661930033648924, -0.5050990960276123, -0.05448376628590872, 0.34440638663537776, 0.5708835004788533, 1.0206429413878293, 1.4687337950150146, 1.4794322389359122, 1.8142039331832733, 1.7627022321949721, 1.7589768255165787, 1.7189354504524421, 1.6138450618034244, 1.3144168228510171, 1.0216731913793382, 0.8814319052296838, 0.3924645575453408, -0.1400753302297103, -0.5906813805123279, -0.5988864830716624, -0.9817685391179386, -1.3401477929356087, -1.568132359936675, -1.7390110516133859, -1.8077111063433857, -1.7962597700691434, -1.6336407298830908, -1.4879411289378783, -1.33837512986468, -1.0525982351960874, -0.659170256586121, -0.32151780909712835, -0.008627601238412014, 0.09953904232176447, 0.8126241459481799, 1.1856991906607868, 1.3318848210376895, 1.4715192475648684, 1.8316552055340884, 1.9126720028339772, 1.7318634114163731, 1.7854931798155098, 1.5370339647306457, 1.3924257388319587, 1.2136763981344199, 0.7904763759476636, 0.3176067422272962, -0.05388015351466635, -0.1818844021868053, -0.6154830984193386, -1.1177383770427902, -1.3684815459437225, -1.6169035287094233, -1.719144895416767, -1.7382693081064942, -1.7655771534891231, -1.6677102630185054, -1.653029014988131, -1.3461958958785556, -0.9892416772208406, -0.591462326028756, -0.5942924926114171, 0.046454083525759915, 0.501730505998177, 0.5422932749770423, 1.2107600416309379, 1.5789676384614584, 1.6010181142190916, 1.792136942905952, 1.7204945018429465, 2.0221504784629545, 1.766312086950966, 1.326752904399003, 1.4546717496603172, 0.9834622205309338, 0.6928732613047666, 0.40887875387715344, 0.0025752636804477354, -0.3466949419176497, -0.698595380718363, -0.939569592371081, -1.4933315206319826, -1.5290097568251717, -1.7213138724709827, -1.8400465172011922, -1.9432746948207713, -1.6983368833163253, -1.6778408161749627, -1.5267842500709183, -1.0935058775552529, -0.6840198288576417, -0.45206688346512014, -0.18547357787997015, 0.3773886609730254, 0.863214627647146, 1.0019837677002394, 1.2212433312246795, 1.4224450554714558, 1.6666920048988163, 1.8200038739996964, 1.7703480328861276, 1.76332811692067, 1.5933746036980725, 1.4579108030369952, 1.0604593528794795, 0.805193354820401, 0.3840577259758353, 0.0181065779912973, -0.36287965897446683, -0.8457537485707138, -1.082599687139146, -1.4212585934233877, -1.6659765945238099, -1.6984717758161607, -1.768177506300901, -1.8804671860720032, -1.6683173855453586, -1.627412543089616, -1.2685048062968036, -0.8552019317964904, -0.6954279866846054, -0.3908959849646352, -0.06871181973883184, 0.4002194652167614, 0.645507066892986, 1.0503645808161894, 1.2684693691895192, 1.6666730637130502, 1.6849691470578718, 1.814240331901891, 1.645236202441097, 1.7037622507323888, 1.545637291862553, 1.2662151077676407, 1.0447391775330672, 0.49439247553792764, 0.2645932511147976, -0.16712056017670796, -0.3038945350229084, -0.7459621822633778, -1.3314393460085543, -1.2588439635266668, -1.540000525481538, -1.7487337435659518, -1.7833370930252248, -1.8303754354488218, -1.7733957846641994, -1.5743898289896674, -1.352273357949641, -1.155791923564572, -0.6689087193768123, -0.4594000457284597, -0.030317208608169725, 0.4647772005890775, 0.8517666808804688, 1.1685170359272001, 1.1886473347436604, 1.5638430899808053, 1.6220012785002007, 1.712809722826719, 1.7534076991754495, 1.7090198651864206, 1.5269961243146566, 1.0939045432099601, 1.0997531548323312, 0.7340120635760914, 0.5031631805636316, -0.008860320260571724, -0.5688991479143757, -0.8795200229880881, -1.2441304100706454, -1.3850397238259287, -1.4241176043798571, -1.688075960694034, -1.8033803683749445, -1.9271811038543496, -1.6952173208920112, -1.611750786319801, -1.3314973434760142, -1.022812869331049, -0.7900812880994307, -0.3517354629361273, 0.18465650368657197, 0.5060643252651023, 0.8341610466147331, 1.3122184577244131, 1.5538150477444717, 1.7347475640211172, 1.6336659057190857, 1.698688112075359, 1.690792086718726, 1.8234804527260058, 1.6580570021316081, 1.4035750147044133, 0.9679255232661554, 0.8397718521692233, 0.3502995062298122, -0.021276178801938637, -0.30837115948253924, -0.759750123788693, -1.0833742997017952, -1.5001522932562088, -1.7341206651157228, -1.635551533351935, -1.7852091367028857, -1.9094978522994588, -1.703182364070936, -1.5799763944943879, -1.4802312271014513, -1.085107171138438, -0.7162712634043569, -0.5483042793976165, 0.08891712540588459, 0.4009049139660227, 0.9135330858778439, 1.2012005479853793, 1.5193724338475545, 1.5121499704419195, 1.7971963863934899, 1.8247274482066393, 1.972000038085396, 1.8749496694584673, 1.7509396314569656, 1.3339125766719875, 0.9512708349759487, 0.6533959932249713, 0.42161361120653906, -0.12205994783077655, -0.3589090585024302, -0.7635260487780897, -1.3022732532823595, -1.3321803342574872, -1.514600989344127, -1.6175137422216672, -1.8719113280448387, -1.9225985333466304, -1.7769781368968571, -1.7031960711907297, -1.30323000965692, -1.063071583482213, -0.8630763556941463, -0.4222706349912496, 0.15609610838249446, 0.3737896155479429, 0.6707758578583343, 1.0214434121904352, 1.3755331814499774, 1.7648188147272723, 1.6329826253967834, 1.9602681559388775, 1.7865615329078934, 1.8666745107805292, 1.4670339298042137, 1.5132365580987026, 1.2522223287225827, 0.9297384984723449, 0.3795584792726506, 0.0002865733243790756, -0.4538270987812784, -0.8409165542970666, -0.9841729085194799, -1.3564705839596605, -1.534576307743002, -1.6954773038503412, -1.946748858476228, -1.93911221283087, -1.6593878200932686, -1.5394404202709737, -1.3699840104836172, -1.0342425788731715, -0.5983233743095623, -0.287603235160283, 0.026320630569563172, 0.4247004302676494, 0.8907041242278628, 1.033009534776373, 1.3810854543219544, 1.5802198000375614, 1.6744562564785845, 1.79735826613838, 1.7157020966730216, 1.8442473301110731, 1.5389917836151612, 1.3792215765245182, 1.1787702028478804, 0.8812991345971827, 0.385872820670921, -0.009505727294384946, -0.30945585824488986, -0.7020450409144163, -1.188635500984018, -1.1933655992843677, -1.5588109744117, -1.6562808694115096, -1.781957047656357, -1.7660710645853026, -1.7544747115644397, -1.5129300655370002, -1.2902685065972177, -0.9888683063053012, -0.8801032933571352, -0.5017191645633468, 0.01229601515262214, 0.3399060951087661, 0.8670273881145377, 0.986574149263101, 1.4472760615644, 1.415797493230593, 1.5861758905497867, 1.8151131352609275, 1.8527824207021195, 1.8024646716294446, 1.6802012435896243, 1.3901173322332891, 1.0656502176176428, 0.6637249319964806, 0.20288018208308387, 0.06856402605289759, -0.468214009001638, -0.7288612143593727, -0.987404380139545, -1.0568311665297039, -1.590097576935874, -1.8491491470744739, -1.8021000680247314, -1.999377172531303, -1.7545874457812198, -1.580458919532913, -1.3425905187807796, -0.9532927828833909, -0.6717441001236928, -0.44914777978507137, 0.13464436684042555, 0.5076327570281167, 0.6587432325712824, 0.9097150060541146, 1.1373860174979575, 1.6438666546856637, 1.8400379529022917, 1.7769872453922304, 1.8151639067266143, 1.7929234624478267, 1.6131509314793009, 1.395223979143425, 1.2855501144606016, 0.7273810257278027, 0.39856711672289225, -0.05665013093733836, -0.27019572072764025, -0.5905763433027869, -1.0504354387060157, -1.3191399808736006, -1.4445619473329758, -1.777071893326218, -1.7860475848601867, -1.9785592478654117, -1.7244553912040532, -1.6031210036539483, -1.237851202354427, -1.0912093146375308, -0.7747429700204201, -0.21925008075219432, -0.019948580014024313, 0.444127401255871, 0.8854161147900798, 1.0158796481315848, 1.4444706653239459, 1.508420132583745, 1.8030259489335247, 1.9040927451021508, 1.7624563163630198, 1.5111606253580854, 1.4768767574845, 1.3735912757238717, 0.967564696058837, 0.7021628426198044, 0.43106530789396513, -0.028499361303403685, -0.3718659306994037, -0.8097792473816446, -0.8859599137469503, -1.4302355556459945, -1.5874652579016018, -1.6839531029075168, -1.9219587836155148, -1.8159399842746322, -1.758896156677305, -1.5053982265267565, -1.354232364062985, -1.132647016185123, -0.7136117430952539, -0.26747602303793755, -0.02981902590262646, 0.386091531205251, 0.7353373719953435, 1.1138584452726346, 1.2821838655008853, 1.769045160326081, 1.8745750129535128, 1.7833717038888106, 2.028971122526096, 1.4948809825094025, 1.6693926196612956, 1.727502581057498, 1.0496274701706174, 0.8320888491405328, 0.4689712357483936, -0.021875684135162502, -0.32334419789594376, -0.5727319280827405, -1.159773649017243, -1.3060922538307658, -1.4856503197153754, -1.8049362247970295, -1.8045061121100652, -1.7648723423389052, -1.8056399986469243, -1.4324959927051522, -1.32727800673287, -1.1410934631082645, -0.8534498045582171, -0.40336693563413184, -0.027346898264652975, 0.4236229287471173, 0.6281012965059412, 1.01414453020498, 1.5132919233728637, 1.4318383241951478, 1.6810695391213746, 1.6991814760394257, 1.8421599588814077, 1.8123605851785816, 1.9420421512447896, 1.458290386051392, 0.9552120732242789, 0.8016742389425057, 0.3712944902757358, -0.04487967563497585, -0.3776103019751901, -0.6538130696407072, -0.9906062666350526, -1.492976731552668, -1.5782190896019996, -1.837556164040625, -1.8012063928328852, -1.861399797270522, -1.6560027731355453, -1.610018431233751, -1.4280184486060006, -1.0681232096944409, -0.7452407709336082, -0.39578939886754666, -0.044616515336447476, 0.13375402573834982, 0.9376746078371747, 0.9398309364754723, 1.3821529085630821, 1.6203371348488262, 1.955806032200189, 2.0487194431801625, 1.8581784908007197, 1.6355273679534328, 1.4832411829036003, 1.2958436036790046, 1.071241587874623, 0.6968165290355116, 0.28297161295507683, 0.008896803298905255, -0.4641753982105474, -0.6049736808534513, -1.1575482076969708, -1.4264837025856572, -1.5713707248030784, -1.868623511428188, -1.8545504817295184, -1.9677541676013144, -1.743954775485524, -1.665421841298901, -1.4075142601608417, -1.0602389679432038, -0.7833968821893282, -0.30658261721694213, -0.09891919455461669, 0.33269239417958374, 0.7108008399511148, 1.1549164915332948, 1.4636073440816093, 1.485357230432836, 1.6976421838532305, 1.624000436069392, 1.8173357454738954, 1.7425160624587088, 1.7242577228402833, 1.340577775620739, 1.0620015605576196, 0.6986738229763355, 0.43282262951652917, 0.025709625564416375, -0.33693432152965047, -0.5291507955495258, -1.222981480667828, -1.6317014563276921, -1.5113483769460925, -1.742646864330563, -1.8747710624994796, -1.7161668657022422, -1.7209765682977989, -1.623270412495631, -1.2687292134286667, -0.9989711783316971, -0.6781681105217152, -0.5071739073372536, -0.08221536152782198, 0.40936851270988356, 0.7905106677351649, 1.2145641887236982, 1.3005131242394434, 1.5823065023149205, 1.8551056650891606, 1.8035274839707234, 1.8339766472864494, 1.733578632379881, 1.639587736695809, 1.4085587181881272, 0.9134573179524587, 0.8079046938384417, 0.5476501679052747, -0.13869289074446742, -0.34594801192638774, -0.6855150104562455, -1.2061659998664604, -1.4342831834396355, -1.6507664117520329, -1.7162606656155819, -1.9538523810974628, -1.8860344689891122, -1.7016356434096476, -1.4964769570023788, -1.3549550857101715, -1.179268123597973, -0.7706202384656142, -0.3596823691281718, 0.15221944611227053, 0.42242861630130685, 0.9518919050788898, 1.1568890284031113, 1.479546102231304, 1.517463397923188, 1.8140925035212463, 1.8353994647098337, 2.062346062214346, 1.703267550920907, 1.760670358919576, 1.5298130523050884, 1.016760611525668, 0.7744126538741374, 0.2367296526271672, 0.18126817296108994, -0.5946976298570061, -0.9044937029738082, -1.0895879316978534, -1.4521295850759712, -1.6823802618446082, -1.7720775546434453, -1.721678146802945, -1.7176660493621654, -1.6921011937587844, -1.5327560311843802, -1.35415666566275, -0.9704483816035355, -0.7308863655911011, -0.45841338340746507, -0.02727054448641762, 0.40404859671094157, 0.8290098277679201, 1.1070225495791441, 1.2353318858400073, 1.6670479219530883, 1.7012532094344903, 1.869856610794067, 1.6599862504598137, 1.7958258370409823, 1.6796169606734574, 1.3069084799235569, 1.114436888404811, 0.7631862350289861, 0.3092313098890845, 0.09531711078080371, -0.40112514402350746, -0.7823538240570757, -1.014202138829201, -1.337668517016915, -1.5152673953998765, -1.7223724180414455, -1.7757796139820048, -1.8240888703758749, -1.8041524655629755, -1.6540119978992258, -1.424766082305664, -1.125447685472439, -0.43572700982195933, -0.32502977283324275, -0.071177989511533, 0.48172720080244097, 0.931285959892416, 1.0223629793972375 ]
86
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Moving Average Process" ]
Scaled version refers to the same pattern but with different amplitude. You should check if the pattern is the same for both time series. If they are the same, you should check the amplitude of the cyclic component.
Similarity Analysis
Shape
439
null
Covariance stationarity in a time series means constant mean, constant variance and that autocovariance depends only on time lag, not absolute time. Is the given time series covariance-stationary?
[ "Yes", "No" ]
Yes
binary
null
null
36
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "AutoRegressive Process", "Linear Trend" ]
Check if the covariance between any two points depends only on the time distance between them.
Pattern Recognition
Stationarity Detection
440
[ 6.016066375261709, -13.816876420074257, -11.806644616145837, 1.8121981487086993, 15.81761955043675, 15.472781607066722, 6.117406831666671, 4.461356807973217, -10.132424263578333, -2.070798648656699, -7.9377485955224705, -12.300504795780789, 14.166476608116252, 9.594070068123523, 21.91168250828857, 9.008660714202072, 14.520719556740744, -0.5389891213688027, -10.326464413356652, 10.410502257816594, 5.525057159143905, -14.699948523438875, 0.34342820830150833, -4.496204531238764, 5.2226613919318305, 3.7825322434298783, 6.796552080284103, 7.667135451802197, 3.709221717363748, -2.068839830554083, -17.819028461963857, -10.863476328706817, -1.1195913587041404, -29.127154578128074, -1.2241670942364857, 8.3297257187579, 9.108166611458625, 15.351078875463736, 1.4383827921121781, 5.775431256475774, -4.450855678082842, -2.416808797374856, -7.311741211446774, -15.503832087159532, -5.419392682417297, 10.28467595685524, -2.673251887046953, 10.657028142342105, 15.18661555420596, 13.11576921728198, 3.777081220944598, 4.033900081558292, -0.7246538843115051, 13.754405933531869, 11.663361284351307, 7.194103731406974, 1.00687800759338, 11.693959080861948, 23.81427284097925, -0.7811581946046984, -3.1040730232884925, -16.678304719026887, -3.4297359366542057, -7.273735056644249, 5.034165830486406, -5.017292811691777, 6.504612710895834, -0.23079157433219144, -5.265266422487346, 11.526577493436154, 0.9532046752887556, -5.163669617074242, -4.225067509669765, 4.860206083218555, 4.289018142555445, 20.53659124184632, 5.39769871067945, 7.0734713060094965, -0.3074369886342238, -3.4268806088724557, -1.2206781261266477, 0.8777152459511468, -21.16238092195427, -25.40383046831531, -2.4761834758765207, -0.7413997104338538, 4.420484188605302, 20.180391201255226, 2.1405383436965773, 6.459096498219068, 2.0934802238928345, 4.453464842764853, -4.246523525828652, -20.05739010957188, -20.95193885643161, -17.31690409218273, -2.820428148718286, -1.5407238522974898, -4.461932442034782, 0.8791246605277943, 4.893131535472558, 4.364807865359975, -0.9633931722827567, -3.6228404162894936, -12.496945637445442, -16.160899736577274, -2.1938875662328168, 5.262780807978547, 12.811367382565216, 8.899336209411391, -1.543500761545207, -2.4100355732422507, 7.98287385727499, -2.1717701750710177, -5.943490707405587, -15.868690750815192, -18.008043712555583, -10.579948017325743, 0.7520322750529405, 4.211832335592855, -12.797454281551195, -2.7041379995429, 5.134922955565109, -8.307636821658118, -17.097057032888817, -4.127697186881868, 8.19771257999911, 14.545953359526713, 18.61812400575261, 31.888359729130766, 21.449819498177938, 24.536587252916192, -0.7503450469156723, 2.271694968714324, 19.886690458851298, 15.783685760956025, 21.654938545395968, 0.8437593087804353, 2.6302358342198997, 9.323093110525289, -7.49088941389127, 0.9195027123656914, -7.398094680290341, 0.020169648843048824, 0.9682503595801051, -4.469720576592587, 15.476694058909235, 13.855566341477461, 4.342443762960361, 3.323442051769676, 8.864580972846788, 1.6126553367210124, -16.021207096883273, -7.457517656873031, -25.531474136703768, 1.1064508995709408, -9.024083969130723, -13.267716673501862, -13.730172426651478, 5.795696062575814, 5.175764414960148, 0.7238810857481228, 17.501811767719914, 26.171620206210463, 19.593156324547, 5.134394515924851, -15.897558188779753, -11.941125843070848, -0.5995250906049556, 0.6071913120051187, 6.624996280488658, 10.83714200288324, 10.786316886391894, 6.8738222186055395, -6.169852005288732, 2.311408848177417, -8.648343179144232, 7.580948676293198, 12.976578243663413, 6.590393147993601, -9.326134137218169, -10.25055777703339, -12.995264869435845, -13.717380125054584, 6.88313691771574, -4.069660854851435, 6.9767079512788825, 13.25465045085226, 20.56023956932338, 14.239423503705837, 0.9681216349991105, -10.104661326295695, -0.5904339397526844, 3.020366323710312, 5.230477459529728, 5.21543543216515, 1.9074342105897033, 6.988848028735328, 18.192907114762544, 9.819329579165235, 2.346660889007699, 4.233737780931924, 4.816671287835525, -11.482091702015984, -14.382238712210794, -4.798703359925663, 5.050182580693139, 20.318545151911525, 4.938230445974748, -5.144624408754256, -6.234554525350031, 14.588244032262924, 3.679696276495998, -6.50809383230105, -3.7148625108028797, 0.7688701681667421, -2.4095340289465206, -3.142701550006744, 4.358562925860629, 6.460483668105875, -1.0028871567600752, 7.339499724815565, 10.462677624715356, 26.499556185653567, 12.956988966371783, -7.619083659969706, 7.504616937107391, 14.494960575454535, 13.550317383604567, 1.4419207538334031, 7.633971388044583, 16.436058222656914, 14.644879703475446, 9.539258165250224, -18.542272519228707, -12.84526268499094, 10.470083735753443, -2.5889363451304366, 0.8106866703349602, 7.736242166422119, -1.5451131099465483, -4.456952043851275, -3.085389880781632, -7.599439064859358, 10.971891892789419, 24.913990530240607, 24.255228753746305, -5.261031990722623, 2.0109787242558426, 9.766203168017745, 7.221974250375751, -3.4569443645599574, 16.769376497694275, 4.990305989663377, -2.5460736675331423, 10.059202786493108, 13.228982362158009, 4.182622995017058, -3.943532427950852, -8.63905985938446, -2.9171121954280927, 6.872477938416101, -7.550481679264395, -9.659418823614887, -11.434265885455405, -19.548501308611705, -20.895356818624485, 14.449162831092417, -0.5666570118779856, 1.7935299246649277, 8.343371507694094, 16.7243006320898, 13.879427070291628, -4.753603431491401, -18.252233403067564, -5.358545863625229, -23.529787046592865, -4.27181682796717, -1.8915680717015957, -14.094037699193233, 0.15233762925328262, 3.3028047340940456, 14.247124752197514, 21.36704101206892, 17.462673655783558, 19.83123758659414, 8.68646760153045, -0.26299533622379534, -1.9561808752484686, 1.9179347433930833, -4.881455442294137, 8.970298164415803, -3.865376144259137, -6.461588656511514, -7.954140138364271, -6.099494320094732, -3.86451924656943, -11.585962355495822, -2.890262994086784, -19.150819439748158, 4.523602851101077, -1.0866128029722217, -11.19833863320871, 5.539796265912167, -4.3694819049579525, -14.187435227443274, -4.758613052372955, 3.3629880291209857, 8.060715324621482, 0.4446581067586608, -7.237770761930674, -19.114605881073054, -2.653786002367783, 3.8293917231827224, 8.4877536574701, -1.6274955393479098, 7.268181353398456, -2.2732909576265006, -12.46908338534012, 7.724048432047332, -4.529335387376077, -25.417715747653332, 13.981067918062289, 2.635703457627493, 3.2473499754552355, -1.8115462614839484, -18.57884186699766, -1.538509979880671, -4.645633256559546, -0.5586924069843133, -12.7338077941686, -22.899646774428984, -19.127136807822403, -9.811759094847611, -5.56085600845827, -12.640072235294104, -12.555888817252121, 0.32405148711683873, 13.894249015415904, 5.347691434597802, 4.921400531516, 3.884596814587008, 0.6728249246525633, -7.007315134113207, -1.654333038714701, -1.96354042855517, -3.0292039060136573, 6.284453035884765, 4.674471478376176, 0.7276742424870314, -4.862183775897929, 6.936412647245903, 5.081397760331996, 3.34100012804675, 10.009745902665895, -9.611770946632774, -2.4903233753581424, 2.2977355790512104, -5.906426739310751, -0.25820576672969453, -10.3869641114448, -13.913872646402774, -10.49338999422897, -12.985782690824838, -17.583325125132703, -17.452794831109536, -4.545246572738603, -11.56862884379332, -24.7136503325883, -14.610830342713033, -25.01663732687159, -22.82999511656801, -19.49309472658622, -25.061023774730202, -13.08496138682291, -2.570091569650432, 0.2893882680055282, 11.186676152489772, 2.770823976317482, -8.25696961773663, -0.8669512343187027, 3.1840330725118897, -4.371243474797885, -2.2885068806564326, 14.995669811180925, 2.976986548725349, 16.775526797612486, 5.782134297739846, 13.56721737463958, -5.860550061580799, -11.629150204281421, 11.875309659659868, -9.44744112320807, -4.275877033460656, -1.7171134907486372, -8.983390088274104, -8.707347877692719, -2.54420636374566, -14.96619563105647, 2.5378944781895165, 11.400689191308782, 0.853581150347723, 4.440142711001757, 11.892745991832665, -1.0325523837921882, 20.763212150207448, 1.206778723663923, 9.63676168177505, 3.052051760412383, 14.113536875650421, -19.528786930807325, -14.603574861070133, -4.586730082549832, 12.879985452106089, 14.071349927991367, -7.4763743698894585, -10.640234257703574, -4.989284186089387, -9.824398953458306, -12.286582815332675, -14.60735798148369, 5.2044495718927655, -2.5861280244742058, 8.005561628077736, 29.78790213875457, 30.43451685397762, 7.215424994742908, 13.81458067041855, 10.027882761266085, 9.307388188424522, 5.249140428637219, -7.8215871019688405, -19.00477527586105, -17.442425214479155, 5.554836657832217, 4.086989896529306, -13.095215223108022, -20.878921250823943, -13.269883986603869, 9.468997328470394, 13.887308674130278, 4.3821067563925835, -14.989283888589096, 1.9162080848152716, -2.3146077746581946, -4.884176371901572, -20.628005959896818, 1.1487626364802688, -8.823491850059014, -3.463984007706735, -9.270667717132298, 2.4265134413410894, 20.95711001407213, -2.4240784469246024, 0.934253353917425, 0.08336727133778352, -0.673863792043369, -14.581739046195805, 5.009662813713252, -6.028157734207987, -5.710582033482792, -1.4717643727403895, 13.6509031702693, -6.664507642507178, -11.439083757225603, 0.08430310819091338, 4.176118990286552, 4.709415511434164, 2.307658963797676, -24.604506679692502, -18.613443228492375, -7.35975756493368, 0.9350489023633929, 17.225509785862098, 8.925313810205175, 2.2803874584726445, -4.264256501977385, 0.48894143088257325, 6.415484907359443, -1.8278426990998948, -3.273956077734117, -11.556226588610496, -0.4487608099725747, -2.8438407442542113, 8.09480730121433, -3.3852621538033425, -10.33413138765869, 10.316982284998069, 1.3549829676494587, -8.009256755720351, -16.74343717522579, -13.957675604451357, -5.9824711814119045, -10.811026656190451, -10.690317583824607, -12.39351514461123, -5.174641757146108, 3.3596876775456326, 2.1545617774307897, -11.53750387664911, -2.7216426281279813, -8.232678739412929, 1.5407431672707843, 3.366596376787589, -4.13294298873047, -1.8093459141720158, 5.212055855792874, 9.03188248026604, 3.2988320672336453, 18.801265482039575, 30.228690853447674, 9.501871218880792, 18.63626473869821, 9.906161488225601, 10.360989566352144, -5.543844267266561, -9.082621883148772, -12.80676306001476, -21.955192061533044, -16.5177468647946, 3.6974997622285035, -2.5610768810798774, 5.8463921574586, -5.61309065522012, -4.943235404686912, 0.9496259822896963, -11.42839544236228, -5.5382581224387595, -7.102524483687249, -1.2179178286612131, 6.214185509510061, -1.7891480065883014, -1.5471577880979919, -25.783771740835945, -3.6598938301586914, 17.18622208672524, 8.10964738189918, 3.497192813682046, -15.877148700922296, -9.016654521702748, -11.589459614701715, 2.0065839606572418, 9.69247222694326, 6.208249746074156, 11.424406128726238, 1.1386348143597236, -19.885745978086074, -13.079020577838113, -15.794097041219285, -17.37495401610432, 9.086386079207385, -2.0042521482832907, -11.609972627025716, -11.53842749130461, -8.4325472805009, -3.557904995024849, -0.02872156162402384, -6.200351802609665, -18.473510298321628, -3.537089638683896, 2.3712830779756437, 5.738467080966351, 10.272629249532105, 11.07464032917825, 3.117619698585729, 7.708274924116493, -17.375731780312957, -5.833288102259349, -0.24292616324291122, -18.90758774475021, -10.702599072221794, -7.0620778146080605, 1.0062456347222752, 3.6738309369721738, -11.088748920306703, -15.9055546043001, -15.18902620023828, -13.184330332743981, -2.523167557098347, -1.0010756909578633, -0.7585903907039552, 17.268454092943134, 2.2023863304201257, -4.357467909462681, 12.500911644496838, 4.879819340216098, 2.6821695146007203, 17.793066693454342, 14.182182774542271, 0.985467405545498, -5.500317553213755, -2.248261158482068, 9.549874730398916, 9.704594095397255, -4.096506002941516, -2.875270421405905, 5.05911845341038, -2.598145162186881, 5.6021323188145775, -14.594703384406397, -13.559134126966839, -7.029094542763373, -7.81977844817728, -15.203102967953283, -2.371256123397322, -8.927494533935832, -8.949376421598567, -14.559780683652203, 4.670988207885012, -2.5577451229714594, -16.02926537319082, -3.298006179005916, 16.80529870015918, -7.192410048815123, -3.393842162007262, 0.22108384811661008, -11.59555031613928, -7.929398351606265, -27.864882463943943, -1.9594414197915857, -1.035752256869259, -20.031241784415734, -5.021618093204103, -19.033745248011325, 18.402901984039715, -5.3545725885550794, 5.072224504685662, 6.166973611498466, 12.777002350100068, -7.775866807865213, 7.7536423596522885, -9.225993509429271, -9.513860990514607, 4.557712755542075, -6.7457085897066795, 1.850786484130451, 17.988897717052115, 12.215607402011527, 16.61896692000025, -1.633610761608594, -8.15792258355326, 2.095350914330066, -1.411023151023145, 5.9303587495302095, 8.468630442704635, -1.3830046431739178, -6.173043026691712, -4.970755850888201, -29.31864309888901, -7.641796634450281, 4.286653667667732, 4.1584194036089865, 16.053309838943306, 28.37154462414997, 12.773142810569757, 9.045372437594184, -1.1481324548836962, -0.6328788093647052, 1.066735871267348, 10.81725173151554, 19.35681439529572, 7.204781989244806, 22.649095411047153, 14.819980265928463, 2.6406345909922853, -5.710739767224527, -13.0158320907088, 7.6201658271456845, 3.8467055132057313, 11.430194202336812, 4.703323604377883, -2.360484842583654, 15.23712965397338, 14.022976381007735, 8.537543434550415, -0.2494623566019472, -1.0910545421765059, 6.650238559724235, -9.109283481728356, -8.224956612752681, -18.525234903244833, -17.91688342737073, 0.31326024339830294, -0.7347027312138458, 1.8325424332619888, -4.227884009664076, -16.986457072794956, -4.44524731763134, 5.481973824701295, 13.604733836124094, 10.86776348453855, -5.618999022017154, -0.8027066142293414, 9.27013195328027, 6.816032910491217, 5.948368454868342, -0.46106532379832527, 2.821355602802668, 21.013928319349287, 6.246060387139693, 3.34764033586113, 11.284629996807965, 9.23305627702992, 1.844109499656915, -4.854480598909597, -1.650134147179441, -19.945269619402474, 18.714727645686544, 3.544047434477423, -2.3687463124075956, -0.34514641683805697, 13.066530142853255, 9.818126360271709, 7.141707005608576, 6.069399303215436, 9.289227011264797, 11.24936487026818, 0.7314410314206689, -16.07323027681339, -11.822241223512082, -21.751182533822362, 1.0381687406195221, -5.650407990898012, -4.570354187349912, -4.038618222344388, 2.266659470271924, 19.494584517091894, -5.602668888268535, 2.042927047038066, 4.912342954613139, -4.666221458404311, -14.647873724409154, 1.4482587479744593, 12.263658231119727, 2.805813020729116, 20.259723432665545, 1.0117862930131831, 16.11804977227292, -0.31376390372223917, -7.502626601486346, 4.13965642298357, -1.32822469674673, -7.828985485572217, -19.51847715720817, 5.414606747804808, 9.50907846551649, 16.86593256853479, 10.064167774101431, 4.864643772844197, -3.942516219827887, -10.927507559363695, -19.217492549830016, -6.674351745380956, -3.914564117791756, 2.4802685204683605, 7.25126573042394, 14.101122860321976, 3.1879705212848686, -17.275940033005416, -12.92851856724999, -2.1997323940391627, 0.054943819874342936, -10.584547155423538, -14.534392462067146, -6.049623040180865, -2.687995943959706, -0.8510461077230954, -7.455484974255971, 12.741429850962604, -10.431996927587466, -14.679179684792617, -9.555099474125925, -2.7277471622882277, 1.8512150977166915, 3.739260880390604, -15.087649419171255, -7.678012427729014, -10.770581458374304, -4.9835969313545005, -11.606837110938432, 20.49572568418717, 14.204824000998675, -7.337879931226867, 6.6186589434202165, 12.467849367299277, -10.645030486256019, 6.5398792824362335, -9.6794214339803, 1.8540015452936238, -20.745454609962664, -14.576557074739172, -21.7170000506529, -10.273026370466846, 10.547914033767622, 16.505741791669156, 28.228209424046618, 23.24356610413672, 13.019146527620538, 20.166603403605436, -1.5251476736855327, -3.844004156679937, -5.778130724327858, -2.5653921821774652, -14.840348016846693, -20.936975896734236, -5.551991445067194, 5.032979174143444, 1.0112979141254104, 0.6460716851022327, -3.5696000389431988, 5.200065873865521, 1.5559050461977764, 12.779650443005854, 11.258440433271899, -3.1834058196952104, 17.84319762732228, 6.535407817055442, -3.670759463254813, 2.609050151658148, -6.401068592364743, -9.631734014368568, -0.8731553627657925, -8.6652637259199, -5.646994453759031, -8.512104808389795, -10.565343335994282, -15.892179012066439, -28.727450779969402, -19.41210896170859, -7.081467999177639, -4.322449836760186, -0.4139517373501156, 2.381545317649003, -9.3451602169256, 7.369294511328558, 9.751983416275296, 12.981463630596068, 4.851455369845069, 1.4377681781598433, -10.187735908189737, -11.408003270977774, 8.657675945493828, -5.422661219209191, -2.0768964782453225, 6.853854882843494, 4.142932671162148, 1.3636239657353417, -3.2722079329254274, -6.90244765434886, -7.541242811484217, 2.0193697478697854, 1.1607014631286154, -5.474194274108956, 1.7262170723093466, -4.312390444008669, 11.254044114119923, -4.323064050652248, -4.291304325384209, -6.52052948954943, -15.55621047133016, 1.663020558679315, -0.9422471748217337, 6.728964779681225, 16.76605899762133, -11.871062202616026, -10.230861113905076, -7.5032525774856715, 9.284195654497976, 10.862687464276489, -10.286156054404444, -28.220008620706743, -12.97633038217239, -7.181352102313176, -4.2006752902077995, 9.366378294362958, 33.857306510919486, 11.151108416269022, 22.634301593266574, -0.16200190951464544, 6.6527229090906115, 2.7744406256839644, -2.067845875530875, 4.59944146458939, -9.538727766283971, -13.789789476271261, -13.991612816314506, 0.4876976811337586, 3.9849351825186208, -4.390671051667774, 8.026854943733625, 15.149748099722954, -22.527533495064578, -0.19842718706103174, 3.6780897327477136, -2.205033182904317, -9.482960270781291, -16.768497756240404, -21.920780420341924, -19.24423307450063, 16.62897200933801, 3.225877185888829, 14.442285912265602, 27.104802676684823, 0.018955164653548212, -6.302990434430951, -2.536122359287055, 14.516195626528392, -1.2946011671829918, -0.2784498451294962, 4.899993302732214, 22.013587792188016, 15.567276087692063, -4.8342302104016035, 0.048940930451485336, 11.8866067735191, -9.105766148188971, -1.9048453605657831, -1.3214369487451012, 0.21992772211056666, 12.417461952195978, -9.933898619993464, 9.745921423123624, 10.20440917833953, 13.45220063176839, 10.757737216102333, 8.211338932736968, 11.786183886430543, 10.273499989178555, -4.218600727482158, -10.936419396307523, -11.194512318041186, -13.912269860920704, 17.574553600225833, 14.206650442734178, -6.9171441000186045, 1.07676603715166, 3.494815884018107, -2.1562089271488456, -1.3807034682358683, 13.246393290561278, 12.085919810146557, 16.270317499865556, 6.4992365157934255, 6.626428876063463, 9.216092087382561, -3.9517311251986267, -8.650208990068261, 1.3107569974777231, 19.133619325695975, 4.575177154352536, -4.363073087905743, -12.120526339431503, 14.154959968337634, 10.907826476556393, 12.4758426995177, 11.267256186801225, 13.67564048816442, 4.087985730265719, 2.51342121886806, -23.160530086053253, -36.76111007865741, -5.64668638458139, 10.09385959866653, 12.408517945675268, 16.732910729217025, 18.824591682847753, 9.674516271392452, 1.2193045379392937, -6.968474863252471, -7.537378229906827, -20.836647623642296, -18.729741961708797, 0.5996427457719053, -14.549517556167729, -2.9227472043930764, -16.161032983409108, -6.868754854666256, 5.1703710658577435, -22.851175918359434, -20.218662937421705, -4.784101154656749, -26.10427327489302, -11.712921344210866, -21.172363764293134, -10.394573752506169, 3.0216167718531888, 16.079361454355624, 28.76847550932828, 25.69253226526871, -7.4227327922863005, -3.9605990054693936, -9.327459259002694, -9.147466712052546, -13.62283408329397, -0.14639365048080885, -4.412263002130724, -5.043549618489135, -1.4921583187581404, -16.83177868520205, -1.0731084126271884, 6.761569288754193, 9.70611162602088, -2.762456109234377, -9.036312027186998, -14.810806372803375, 10.673360565717394, 5.993075928552374, 15.942750656241653, 20.00359566048646, 13.265689902878705, 11.416497581786093, 8.383532345520189, 0.9268686515231583, -9.344734401060586, -10.246714759559287, -18.28949243511476, -23.64749041827807, -4.209592098775182, -6.0940199660556935, 12.786096563586753, -0.14426580689120244, -2.16453570512951, 0.09091356818204879, -7.227259299418356 ]
The given time series is a random walk process. What is the most likely noise level (variance) at each step?
[ "1.89", "18.29" ]
18.29
multiple_choice
null
null
54
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
The noise level refers to the standard deviation of the noise. You should check the degree of variation of the time series over time. You can estimate the standard deviation by observing the average distance between the data points and the past value.
Noise Understanding
Red Noise Recognition
441
[ 0.9536737623144568, 1.0555891770508177, 1.756432820376335, 1.9895170662542228, 2.2495929570133057, 2.3674670648701746, 3.4841652040232676, 3.2207235763456152, 3.677508331749326, 3.6116302767496626, 3.025303908963338, 3.4139889999994524, 4.119519132325016, 5.105376495283168, 6.098999816865003, 5.9151916268383475, 6.48906591425573, 7.033526919352511, 6.451252899567107, 6.137532955854699, 7.241560994640567, 6.474734918596666, 5.482222297641235, 5.080127508695621, 4.798800102522556, 4.111971267835258, 4.106034784046479, 3.5654940421211707, 2.973550939441315, 2.546291706153505, 3.73928741341473, 4.035550369929801, 4.663453614537286, 5.503280375943456, 5.58305530980761, 4.918489152880386, 4.939361722143917, 5.2207771895317014, 4.827971268932991, 4.6868482027502, 5.030202837837147, 4.20014906916119, 4.385029009207319, 4.4830911430827625, 4.088322741019576, 4.089436320224543, 4.048477263538092, 3.6291559298986615, 3.067976112856729, 2.9426572717427963, 2.723247657444825, 2.1496296479983377, 3.2069998239108197, 3.010549377156579, 3.103052542099714, 3.3842217147051867, 2.789803720330372, 2.620828640134777, 2.546244124211763, 1.6641294087332212, 1.3845232017272517, 1.569868918904498, 1.294794823384081, 1.1284562561423659, 0.32578202816691343, 0.10293630597352074, -0.3495824947642875, -0.30266913923543926, -1.0342943737071393, -1.214132754075263, -1.6578628441465304, -1.0532875165086872, -1.3485710846812573, -1.9405347922664455, -1.01517872237627, -0.9065779323598455, -1.2367068418977212, -2.1300814864064734, -1.9240105968652585, -1.8046485205147211, -1.628835346300617, -2.009324631924544, -1.8395464297091073, -2.094187693370722, -1.6770191920095336, -1.71879298796378, -2.8762162606871495, -3.5898197578479354, -4.693067293407329, -5.985818752841242, -5.659543593396849, -5.342631754532404, -4.797620707717369, -3.7154905198243484, -3.069047032002135, -3.6458613939640268, -3.8713787980416887, -3.451934061607138, -3.8640296857987995, -4.0606983772836855, -3.5518408499644525, -2.9167108809913067, -3.7941079905475528, -4.820790095423825, -4.807528797246659, -4.394403458305183, -4.010250725566424, -3.486922285303366, -3.6459744944812322, -3.235868414048132, -3.900607860000522, -3.0011006754074288, -3.447091351932105, -3.842437478966415, -4.30604510523752, -4.14360662649427, -3.723253858006252, -3.8945182404675376, -3.61585480388505, -4.487857117172255, -4.416638230663845, -5.53349765792669, -6.267115956604457, -6.531508135201395, -7.402200393972238, -6.572647209639231, -7.297948009494299, -6.783907409755745, -6.720023501345334, -5.688007673750074, -5.425488959536152, -5.91884303165765, -5.530497492382279, -5.294406278081031, -5.098705692447322, -5.831554748968098, -6.151949553110677, -5.546599261781478, -5.484993739089892, -5.583950075516313, -4.706716695645225, -5.279548432941758, -5.387780212089807, -5.701246457813626, -5.9706459431463665, -6.445203034861854, -6.432231761395694, -6.448276672183416, -6.200263694381851, -6.489217188617125, -6.384853311484598, -6.086787349409211, -5.64227648383554, -5.986989064109729, -5.944045922527315, -6.437851007375902, -5.403774449154848, -4.759380908701091, -3.47197177581244, -3.563008954897741, -3.656688410608451, -3.3438682279433687, -3.9195618169269806, -3.3660504939264952, -3.566547615486469, -2.911729459461195, -3.130163910245427, -3.3246659130188676, -3.4198961385508544, -3.1334381517587513, -3.34869673397457, -3.352236869385691, -3.266487892192418, -3.460017495984503, -3.75461498198285, -4.0517090003615435, -4.7860775862821745, -4.959871476374909, -4.829963267182312, -4.742788258197848, -6.067648838326095, -6.369663273652784, -6.2894317738108665, -5.697550793531758, -6.478646993157285, -6.672731771884179, -6.41503760283692, -6.855533923037304, -6.760432652624421, -7.226565830345224, -6.529596208634734, -7.733919215892806, -7.99663663792568, -8.241450740430473, -8.030474700861083, -7.790144196421873, -8.115626949578509, -8.073877705166053, -9.35214457220733, -8.848530652548883, -9.676933624715849, -9.591715031501614, -10.169861370225911, -9.9018764715464, -10.309582768794158, -9.912494157655892, -9.907293806712149, -9.518287400661047, -10.382413984106405, -10.606176163051137, -11.45924841168111, -11.15301996245176, -11.095013989014776, -10.692932069820035, -10.789281038735412, -10.33688840038183, -10.301868900983045, -10.642203029275391, -11.412587317406011, -12.622333791494183, -12.42485239090065, -12.578336757762242, -11.737615799174023, -11.943397883816134, -12.969303798159629, -13.463839224128073, -13.140680570716844, -13.383748985778212, -13.960354900825108, -13.641648059456664, -13.667443188596373, -13.747102755485546, -14.248420383803596, -14.032419652188908, -13.420614526831667, -13.976508456517612, -13.54620917200922, -13.916519398849344, -14.223369961045616, -14.2534393214373, -13.837193728682575, -14.5261370581529, -14.239074208156497, -14.444849662883705, -13.987609403959015, -14.304731175769957, -14.307507043164957, -15.098344252076249, -15.21745029962362, -15.719080318735207, -15.900114234861917, -16.205991581488476, -14.747779402960836, -15.76675093804308, -15.875635132730972, -15.444137775482124, -15.535501500703244, -14.836978679929562, -15.530733280005183, -15.702646130199023, -14.882133135334424, -14.71950815973454, -13.93751883083762, -14.0866816680891, -14.614703746098114, -14.272333774763805, -14.117998218059578, -14.084410849395276, -14.93295414698981, -14.738459874678215, -13.716805943733371, -13.464550990508242, -13.711824143873148, -13.35329239742636, -12.50333420678682, -12.426631767873442, -12.10289188813781, -12.180324736059486, -10.800628941487329, -10.67681605837143, -10.676535323696134, -10.189814223672796, -9.652245755181433, -10.268903473365462, -10.793146384702498, -11.24623813809293, -11.548902489494058, -10.830704790242338, -11.71724181976638, -13.168347541043522, -13.889976934185606, -13.88410668746621, -14.079403651667912, -12.822028071779206, -12.814192341026414, -12.404695318238353, -12.632718563220177, -11.836132178173452, -12.346154198123054, -12.088334765238907, -11.7362400969488, -10.884991595729373, -11.323057204702653, -10.679141726808307, -10.951092649932802, -10.282693130223445, -10.92312122278577, -10.49912553511642, -9.495936713922394, -8.698022900209432, -8.768333198882592, -8.506118185583315, -8.354742583710905, -8.094392984460997, -8.745015967276945, -9.840875469432932, -11.429827383270842, -10.693884510427162, -9.912869363974524, -10.504846089433407, -10.681176614042593, -11.167611393341474, -11.031375472947845, -12.240246271164235, -12.823967427241831, -11.979885419800446, -11.756520701698259, -11.662348195179339, -10.86543812042313, -11.342081092514038, -11.587968741639315, -10.446029384883454, -9.59688205907716, -9.846940440107497, -9.518397031303037, -8.603197717964207, -8.425135121243805, -8.909459357341357, -9.555642137206862, -8.592938626951147, -8.836750234649264, -8.097277299516755, -8.83920736923696, -8.669903326034351, -8.348003097008412, -7.71873738698936, -8.168253473334998, -8.661613371598152, -9.79124106302369, -10.136150207009576, -10.949926947378245, -11.153487092684452, -11.53927596683824, -11.90612354120364, -11.72805924288894, -11.147927334546575, -11.216803624566356, -12.319214390942724, -12.033450571676477, -11.432146457907468, -12.010095450160522, -11.296487353914086, -11.233750722173816, -11.161580714790128, -11.178814749695507, -11.475673666115085, -11.915161843540544, -10.71728306486766, -10.577852062528327, -11.609700924735131, -11.292044833794689, -10.870944845344503, -10.941038527833014, -11.522075103349863, -11.560798582212024, -11.758135223716906, -11.659040464645178, -11.654491102765197, -12.185927974756135, -13.616553262067633, -14.064935385983235, -13.225605808916477, -14.323371390301617, -14.4842934680764, -14.401396145328055, -14.662886575700323, -15.76533933079606, -16.136891344490095, -16.06990669966661, -16.176477806501737, -16.373986491589616, -16.54074726707386, -16.481967820098475, -16.46388863855301, -16.39152856791289, -16.11503039891248, -15.862551210078147, -15.932750436810549, -15.941292597056941, -16.79867817869612, -16.98697860741081, -17.901437043541453, -17.94097649803006, -17.64380691333144, -18.193260887216027, -16.895449376251037, -16.833156581666127, -16.63776218476695, -16.109739076257785, -16.892358198791317, -16.909811234296757, -17.062654663666923, -17.141664873516458, -17.81458165137896, -17.510315596503755, -18.023792341708948, -18.52524305132868, -18.028260494273482, -19.245164146003045, -19.43006621951756, -19.303647951922805, -19.307949906269048, -19.591030042208917, -20.568013394969825, -20.437720969774094, -20.608709117027892, -20.061760857567865, -19.47427144690391, -19.611402489056186, -20.160083495086543, -20.780744439595747, -21.098619326848766, -20.078080982899433, -20.290285166352106, -20.447346278995088, -20.947758628447126, -22.17658214097967, -22.486717979162886, -22.98080687128471, -23.788022381762815, -22.925050131276603, -23.84402271520175, -24.21393534332381, -23.374523854462677, -23.527009915783204, -24.191045247185144, -23.73819084951012, -23.621080950307473, -24.101449713163476, -24.266382860245603, -23.37970321801167, -24.025505850860487, -24.454961231168554, -25.257757373382734, -24.992944687456177, -25.58241413559464, -25.682483369655387, -25.23623218551968, -25.198385944372134, -24.32491673693318, -24.508464465322618, -25.032050240045706, -25.025697195282596, -24.586769557971976, -24.113296600167633, -24.75471878621811, -24.58637897341425, -24.91712326801477, -24.960701948413163, -25.508433810773653, -25.27313900931839, -25.91494784877972, -26.974407035527445, -27.16921424608973, -28.479246224239123, -28.924568798281207, -29.17061166722591, -28.851338283984028, -28.328294851661894, -28.905476189672026, -29.93092342527827, -29.85707088015821, -29.80090112023705, -29.4836239890702, -28.799987491426073, -28.2793422242103, -29.665711742358265, -30.391399492444705, -31.032278353369, -30.703597339177893, -29.475448211342435, -29.093724864136053, -29.683826040126412, -29.611003555569788, -29.091945912146635, -29.91659673764359, -29.201888957474427, -29.06190823615264, -29.048787560703953, -29.18202452845567, -28.64033608388865, -28.775344329461774, -28.98742698739381, -30.592941426739966, -30.67380493706475, -30.192327579612456, -30.617763768100662, -30.998838326975584, -30.72947369031594, -31.18157461980519, -31.01757597491413, -31.764211160165825, -31.54146324356503, -31.253407313882764, -30.7192395476802, -30.96789982790132, -30.539146690460772, -31.60335962220035, -31.695252516454246, -32.4881509846364, -31.86221538876999, -31.598434138905056, -31.673131883331408, -32.853057319821204, -33.15516401366327, -32.723735426950874, -33.115598202358065, -33.38620019272773, -33.461698195039766, -33.64618285890618, -34.2517623259402, -33.53836280101044, -34.350861134701674, -34.400692895074094, -33.45705495695131, -33.222417813668486, -32.717349503593006, -33.013714037467494, -33.649876348984854, -32.95411528884052, -33.298899011645084, -32.37573786698338, -32.6540881419473, -32.74280729690239, -33.26584579056601, -33.484404401450796, -33.02990247455064, -32.99384078364517, -33.26259445708732, -32.70826893848713, -32.73650945669575, -33.351685964556246, -34.18964927792968, -34.61450527002807, -33.8761190106761, -33.51179702704611, -34.23788155339116, -34.57171455820217, -34.391674009823426, -34.12660853891296, -33.51433597328619, -33.05121459800386, -32.78015879616658, -32.27439344595787, -32.13407073243714, -32.5716728010568, -32.21930613873456, -32.71398814150508, -32.69228042901829, -31.497816120232304, -30.967373110130584, -29.73434508837322, -29.91902356731993, -30.811006892901073, -31.953582867280804, -31.145022492696498, -30.87074306507193, -30.903912862199736, -30.421659443948982, -30.698854695341637, -30.785345460234467, -30.860138259743238, -30.546382183570458, -30.232162379536923, -30.70267826498774, -29.724993825402485, -29.912863469660685, -30.678009358069104, -30.4115237924646, -31.1303603930159, -30.704388146815685, -30.494325887980946, -30.07777500224207, -28.834134184820176, -30.001996889550924, -30.01014811452079, -30.228446747989988, -29.862206585043925, -30.378718856182026, -31.682363910029924, -32.83427204611787, -34.066693892452726, -33.38913711623519, -34.53089440075705, -35.906897684857725, -36.16268620690123, -36.44446298890634, -36.559181976268164, -36.8548310975244, -36.274173519671564, -35.68807999544756, -36.177892470782446, -36.30224545934334, -36.15299466050011, -36.43657718429771, -36.55145656110674, -36.67141849276839, -35.84553442440596, -35.974963007974154, -35.714786681985274, -35.903965432259234, -35.926522874595456, -35.97072412135133, -36.013647639854604, -36.300410705364435, -35.22437055441672, -35.81031382803834, -36.86431854611938, -37.24684440389858, -37.04277081877836, -37.04582630552914, -37.20666263530835, -36.2629288762555, -36.0078981041864, -37.008393356539074, -37.006519957642176, -36.37227934152032, -36.070748543392945, -36.17744162286414, -35.63090564598741, -35.13585957028424, -34.77624483450037, -34.15995568146528, -34.72501046525658, -34.591437519630276, -34.09823764038323, -33.280836317656984, -32.53834435418232, -31.468556287508438, -31.256253854306475, -32.570644996154826, -32.342017046705884, -31.59130316381197, -31.335305297385183, -30.60031385821805, -30.10746361489728, -30.563072482881193, -29.76543445883407, -28.880180653524615, -28.180638546008826, -28.145453456453257, -29.085161532993983, -30.330608466021935, -30.227936815208302, -30.332449233316737, -30.755212495136348, -31.087260505398756, -30.01599442704165, -30.622992193520016, -30.99920902068376, -31.325482148511057, -31.51006593098963, -31.73298791625825, -31.569147224429074, -31.751152518179396, -31.07434598319558, -31.147128061547722, -31.98830507043036, -32.1688384461378, -31.82168486930642, -31.76965462762557, -30.626923690660508, -30.40970825517921, -30.59236381718444, -31.07025830508176, -31.244936796657942, -31.189988089437204, -30.723768339992347, -30.833267329980128, -31.09389024651163, -30.170311599988533, -30.636728916954283, -30.67016384501704, -30.145760770373148, -29.969694612765412, -29.827585323222465, -30.12683901340139, -30.13099385477174, -29.44283829357828, -29.207061836676438, -29.270938324550382, -29.436073085686925, -29.60414818381908, -29.05888655092463, -30.059206134979238, -29.2902513135238, -29.055996120166856, -28.812404870310985, -29.182551598192607, -30.120318266316115, -29.73235704308982, -29.844783934257244, -30.320695084410875, -31.15002170220739, -31.732643818360753, -31.327656434701716, -30.878717352670822, -30.92694273004339, -30.78424651453332, -30.906655931765503, -30.743017306563324, -30.901009437538896, -30.27297142826853, -29.970879010173963, -29.846717472467965, -29.169221354888055, -28.877800945977352, -29.197088663255414, -29.23036139613858, -29.765884752166045, -30.22593209757635, -30.655607525024728, -30.025234972920263, -29.966207154568014, -29.240365172313695, -29.044855491544592, -29.27862435410444, -29.000989780597344, -29.633959159821863, -30.79165612152668, -30.302903354636445, -30.536843757520163, -29.888992656853265, -29.818590861156387, -31.00829596294053, -32.044994349786066, -32.623830429557195, -31.934882915015603, -31.898080479084825, -31.440289429275083, -30.33118732283688, -31.389858718378676, -32.06581615462939, -32.93518532577871, -33.501457388252874, -32.66982830748253, -32.458240583712985, -32.78291166820916, -32.565253296024395, -33.14839466538317, -33.212871274282556, -33.47550329597572, -33.648111439457665, -33.43151889829387, -34.37920626770222, -34.26646016604988, -34.438147038052996, -33.986064286288, -33.70962515530397, -33.02506536132353, -35.008673021508365, -34.925493469250725, -35.59462727832524, -34.52522911748141, -33.41419359287015, -33.87363169382072, -34.597302553557576, -35.1203590685577, -35.118332362084224, -33.95515796087277, -33.51097824197545, -33.80562140425754, -34.30051264847219, -34.768275396444146, -34.3964109635303, -33.74808558140754, -33.72549025687634, -33.940660816693175, -33.78375035537385, -32.57381309570131, -32.98621600162106, -33.203974775398976, -33.20075067448323, -33.30968819077725, -33.54272998190341, -32.34963027534172, -32.27781315295052, -30.963909244755616, -30.958006586571987, -31.488880871294363, -31.96707180985725, -32.07582690450888, -32.26952123782264, -32.5193201750869, -33.59628234546385, -33.5228573470244, -33.15263419038006, -32.96761231572048, -33.286556464643105, -33.27442621574638, -34.155916186274744, -34.02758734529089, -34.77100802349707, -34.86267363364699, -35.0499074998018, -34.77196378079426, -35.69061186533689, -34.34225329120342, -33.25522273503699, -33.02066359578497, -32.9439098737536, -31.973722416697672, -32.19804167970082, -32.41440155552313, -31.966218593511737, -32.42286933387442, -32.020672349691075, -32.574387925739536, -32.8887801607528, -32.71714092803186, -31.564454625455912, -31.335620732468367, -30.226343399635795, -30.755192568543006, -31.328751795466726, -32.48145069997885, -32.238571356697996, -32.53420230138708, -33.413687459017645, -33.82312222504207, -33.073313214805104, -33.42625418267074, -32.94553555492198, -33.89116843624213, -34.5658221584324, -35.04004132136159, -33.481555394907204, -34.06825181977124, -34.27121774934403, -34.651552361032785, -35.63267159755737, -35.25708421038219, -35.931662693589644, -35.92466075291251, -36.25580022061952, -36.611731744445194, -37.571890670386146, -37.06784322428854, -37.241468159935636, -37.81730567611131, -37.21041173426593, -38.01664929693653, -37.93275398870054, -38.91699519824003, -38.76212107317722, -39.97228258466888, -41.112286460563865, -40.359490600161074, -40.01077726635654, -39.42554977941022, -40.066738650080275, -40.806402817030545, -41.567900345363284, -41.15119602403518, -41.85188262901547, -41.94320974131334, -41.886956184903376, -41.17716690216444, -41.84764773833674, -41.96060643975242, -41.668605597078184, -41.81258249041732, -41.2904809577898, -41.02897931920061, -40.99233203181293, -42.047393040230816, -41.47502400608408, -41.845448051698085, -40.93331563456182, -41.020634681286495, -41.55336679624376, -41.41602350736147, -41.54898360439499, -41.47081179142854, -41.17573393045326, -41.34551128655651, -41.66781637278641, -42.35948875811622, -41.38053011538569, -41.81191149228442, -41.633582552479204, -42.40384715656007, -42.27112277881267, -42.162144195914394, -42.25346098704769, -42.89753551963414, -43.18340914158727, -44.18166371961708, -44.83759031902007, -43.81157737537334, -43.68103453250279, -43.63141031486578, -43.48544446445987, -42.83911704972768, -42.35301443701743, -42.257312032001686, -42.62625321483978, -41.62569000975976, -41.947509591430325, -41.48354894742688, -41.47430100392995, -40.76920583217552, -40.495484416018954, -38.758500629297416, -39.214943496160735, -40.09351312647587, -40.73071123364871, -40.50038026182614, -41.02658857218925, -40.40367560188655, -40.3197242015808, -40.87019071405356, -40.34616352729829, -40.69287625747666, -40.07537167011884, -40.51162047469071, -38.84846117942743, -38.316983734034054, -37.69018745458625, -37.956398419961054, -38.61185027961849, -38.24008095208018, -37.684840941051554, -37.35933776249262, -37.14571225770505, -37.932083401234344, -37.85973056198729, -36.68159607773614, -37.28303714738606, -37.783724874880555, -38.041085856667266, -38.91453865967001, -38.32302517984147, -38.50153848003085, -38.462038183200356, -38.76052225130774, -38.92566404589817, -38.59468710964016, -37.95843210600776, -36.78567615285283, -37.42342495450827, -37.89522440334022, -37.4600552611024, -36.7114655446326, -36.839765695237325, -37.42580879078544, -37.422843900037336, -36.952144033231995, -37.219836827146395, -36.78424604581231, -36.75757694162593, -37.02537043721075, -37.42484046731857, -37.94194521191824, -38.994800133620124, -39.17091707397402, -40.39650643496228, -40.178769263487624, -41.947370342973144, -41.431096315174365, -40.30205406746869, -40.501027015546995, -39.76977205861415, -39.004534651004, -38.58138930166875, -38.18859602234755, -38.61566857987321, -38.559183024616274, -39.86194460867469, -41.00667659321243, -41.80934758994645, -42.0481747173333, -42.0649671838269, -42.39643520730008, -42.68304370859833, -41.58602518732509, -40.96407289389409, -40.945633488564326, -41.79223535440548, -41.41489824440987, -42.842838844356116, -43.48727253292407, -42.696198093457, -42.878196018973846, -43.66546282214673, -44.41755074583694, -44.848944404855914, -44.36617874492632, -43.21297903063318, -42.62903761147817, -42.91501141537584, -44.022667008872766, -44.67937522709459, -45.39996928860368, -45.432517099406915, -45.08198656309788, -45.71092739736063, -46.27638718877241, -46.776365581919016, -47.3728830654252, -47.9912557693292, -47.60861023369469, -47.989507555242554, -48.007916575752354 ]
Weak stationarity requires the mean, variance to be constant over time. Does the following time-series exhibit weak stationarity?
[ "No, the mean is different overtime", "No, the variance is different overtime", "Yes" ]
No, the mean is different overtime
multiple_choice
null
null
33
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity" ]
For mean, check if the average value changes over time. For variance, check if the degree of variation changes over time.
Pattern Recognition
Stationarity Detection
442
[ 8.933224666475502, 9.11637761305685, 9.128345762866456, 8.855697618547904, 9.067506426780096, 8.966761059466776, 8.867095483502084, 8.854281898709816, 8.854487421050528, 9.036248714037514, 9.026249919536129, 8.893786069453515, 8.988828137403504, 8.988317772793296, 8.93165947046776, 8.975955913084606, 8.887273724057145, 8.91377509388165, 8.896473424124705, 8.862324082514034, 8.997050037653374, 9.19541417082439, 9.12997103365688, 8.989587299199744, 8.900736815290179, 8.989182166755834, 8.812295644124035, 9.183425801796444, 8.863832028157825, 8.884642807557793, 8.93460035019684, 8.930600761321312, 9.027905763173235, 8.903366589225445, 8.798064970581382, 8.881569448935323, 8.75877772077008, 8.881980898759535, 9.134981568039498, 8.893836926812469, 8.792680323120274, 8.939958433502706, 9.021229152035449, 8.870494672939158, 8.718463353653727, 8.918973559829228, 9.00716906545821, 8.82516329396043, 8.90315578982303, 8.772031850634015, 9.013328242174753, 8.843239717412056, 8.68034623503893, 9.011665638786901, 8.91950171589644, 8.949890267008524, 9.037011292749092, 8.919448513142685, 8.927871268874966, 8.809824452615567, 9.00920732617286, 8.86212290203487, 8.82821818727335, 8.9757437461258, 9.036357421694131, 9.066777674103742, 8.919618941546037, 8.766358398887423, 8.634939835891725, 8.911454270950392, 8.829643587037792, 9.155795477986988, 8.741880996087744, 8.895797240903217, 9.006891621839673, 8.83876376172223, 8.969004760883458, 9.060127780495463, 9.12228822044108, 8.69469455113816, 9.075620091729617, 8.719557203824648, 8.913386319028655, 8.972343507520213, 9.081130193856088, 9.008560057075487, 8.89409595000894, 9.00835625715907, 8.993882878068264, 9.006777803556542, 9.025315673086807, 8.859363430071426, 8.986386101361541, 9.14268169584397, 8.858015891267145, 8.914636254265906, 8.931529825092278, 8.988234076408398, 9.039111167985618, 9.087478661317814, 8.972032124050388, 8.936241469390831, 8.933013958908875, 9.00105031022389, 8.812280832416802, 8.789167903313281, 8.751420992057223, 8.960334345386588, 8.68864818148987, 8.990057551743284, 8.929743352609654, 8.872546804666722, 8.928162560779812, 8.998775503020855, 8.961736806329359, 8.856902782747834, 9.003514351070958, 8.795943551515053, 8.9341973683013, 8.814370882596211, 8.947499618731742, 8.826645276276766, 9.173953612166198, 8.858010872908359, 8.968590746051476, 8.92608711025412, 8.929429398869075, 9.017176252728902, 8.946075297408056, 8.869993646544302, 8.942372401058348, 8.862608207194047, 8.873883256991304, 8.983177285691786, 8.939823939692694, 8.922014427510268, 8.925044715758213, 8.94730624939601, 8.880433916094201, 8.916390799801325, 9.019031488791903, 8.949135693079079, 8.906688136993857, 8.960345540288206, 9.223116209832412, 9.08081090687306, 8.971046603608384, 8.894025824514499, 9.008926657295802, 8.783758311710487, 8.635322843047218, 8.987060359827163, 8.890342373862515, 8.815879350426522, 8.898272896589628, 9.099204929381381, 8.825688562305881, 9.01635222686353, 8.981712769817626, 8.908215661039735, 8.965150227091248, 8.864737979899733, 8.797644313289391, 9.00028689332953, 9.089304869851054, 8.953282277313075, 8.872155304906004, 9.055721466985684, 8.858983146492395, 9.008374918368938, 8.967961735818205, 9.086448489245184, 8.872653167377939, 8.857422497216206, 8.878986740223183, 9.005734838440427, 8.977634158084326, 8.790678788714441, 8.978585298285877, 9.024779569496145, 8.986115641279573, 9.126042919235385, 8.927244554306442, 8.972851665537018, 9.00262348156006, 9.082075176405956, 8.976407941756754, 8.978256104205695, 8.861544249565602, 8.877120761361232, 8.869911996684102, 8.945136750847569, 8.735817788688793, 8.904639059484518, 8.86290738320829, 9.055816038447936, 8.937714523662732, 8.766218707456057, 8.94993313626166, 9.071794646034013, 9.07773928434841, 8.995597041172612, 8.943523739366212, 9.0926014983094, 8.760681302522277, 8.91055184409118, 8.825852985455876, 8.903327442488031, 8.98051427570137, 8.95683328542546, 8.910428527490263, 9.094654444417008, 8.937916286526065, 8.91553380819944, 8.927188999654637, 8.94107399823455, 9.151594993741654, 9.065521884146433, 8.844798491474068, 9.025460029945089, 8.826554625685393, 9.069202802560147, 8.952036320767856, 8.92354863315267, 9.01618391348772, 8.939547402573368, 8.926693506367005, 8.775748851922437, 8.874530774661972, 9.03952853591568, 8.867980344378363, 8.767790098882323, 9.043583797970932, 8.766542772148588, 8.958167144476475, 8.953868652832357, 8.957959216654332, 8.841129710087237, 8.951058603777787, 8.978825707115119, 8.968281389240461, 8.863246332450565, 9.016417335014708, 9.016012498784896, 8.835299050163119, 9.12485029224809, 9.004666402296966, 8.994451992270003, 8.946842177869595, 8.994078356313018, 9.036902197430457, 9.072397268773672, 8.933983623221895, 8.950593832880532, 8.930448941253163, 9.090390535241863, 8.999580381291704, 9.033528577025361, 9.096475483488394, 8.911140103232942, 8.896862167260519, 8.845589844806769, 8.88095039107696, 8.824173589193546, 8.964982287662195, 8.987202421105355, 8.759815530684396, 8.878316402246256, 9.008383780328183, 8.832566519034701, 8.90672764218553, 8.857125467830105, 9.040149460734904, 8.80069871567758, 8.925291686689338, 9.000812282212062, 9.006393974788988, 8.927786899797528, 8.98095939512294, 9.094133907365622, 8.983847606530043, 9.157471062933224, 8.888067672560116, 8.98018392642965, 9.028527598769305, 8.924523104806454, 8.911925872155905, 9.005396900679612, 8.944782004416249, 8.935325379816607, 8.986101211784273, 8.896087232505966, 8.977986427941161, 8.931014280961064, 8.854693057810351, 8.910143226614554, 8.944653051795333, 8.92525748775585, 8.884041219350003, 8.969469676962998, 8.997229230759304, 8.788947547867547, 9.029656428194716, 9.022373477800322, 9.14841722248861, 8.925279163646591, 8.869562656549187, 8.845466316992749, 8.877226784573224, 9.044118629961408, 8.962424843133274, 8.937954578949176, 8.925539273965649, 8.75219638378954, 8.84495939374414, 9.01789287252959, 8.87702331827848, 8.923811986337128, 8.866302728372759, 8.819045618201931, 9.04867881660578, 8.924195917064688, 8.995207211435785, 9.00576573867235, 8.951275043456029, 8.955066226366908, 9.081655907934941, 8.854554296077465, 9.0954787419812, 8.912943265633867, 9.03257082259891, 9.102934237720689, 8.864126994830503, 9.030775551692779, 9.06929398635494, 8.91109712222582, 9.006780975368684, 8.927753430898502, 8.874284503534767, 8.988608033669665, 8.925329656909005, 9.074662768422803, 8.984033223557347, 8.91812141530073, 8.925304309591022, 8.882654505167682, 9.026399174442984, 8.904889206380478, 8.99597101845685, 8.894114898059163, 8.827378432976387, 9.028053997451861, 8.952159701510046, 8.775853361127446, 8.945183310568853, 9.032473438361668, 8.95604839940531, 8.960803105734103, 9.158568547777179, 8.860727360373847, 8.942616040485857, 9.056042646945029, 9.037732512800682, 9.003757174180466, 8.990419600852778, 8.863864378475052, 8.904646769807288, 9.048209702470455, 9.221072528308746, 8.905169161648715, 8.930583676839916, 8.940609901609733, 8.854863258808134, 8.894029106308059, 8.927475228869476, 8.986280399119474, 8.99437333513559, 9.133198757817583, 8.921389886751488, 8.973064734536257, 8.808191800612011, 8.971131433640812, 8.94125196705958, 8.833092138469802, 8.863338976806542, 8.951550749012199, 8.924248230570463, 9.053444369475434, 9.169124103769342, 8.91822107029775, 9.055789744823358, 8.818978153583, 9.108696317242543, 8.87342783350071, 8.831669151508382, 8.772153462304793, 8.997847681618014, 8.916423323694886, 8.88029382958717, 8.957171228632458, 8.84694517634127, 8.800076131109861, 8.992899502170953, 8.818363054559608, 8.882001938246292, 8.932719284617813, 8.875540715518577, 8.877809716562343, 9.073811178979817, 8.852296605961763, 8.981148858844834, 8.855004530100805, 8.860080629589303, 8.872217033892206, 8.874928028364582, 9.165021267509587, 9.028750949249773, 9.059622519175408, 8.890317963354132, 9.051112412781533, 8.847989217495698, 8.82958014309514, 8.905508705110995, 8.990841582823094, 9.10152163139967, 8.905533459964477, 9.061633344269561, 8.953960062629658, 8.933662412418236, 8.979778893152751, 9.052407783565513, 8.942325329252682, 8.92941220974169, 8.920239622275473, 8.8363936830813, 8.901393281264786, 8.910171091471918, 8.999358894705695, 9.044599750718042, 8.859049218586083, 8.87869760981314, 8.936816536475652, 8.668002831748504, 8.864566788539731, 9.127587727463352, 8.93658545623623, 9.114359321903395, 8.900458580923619, 9.076602911007724, 8.892083004714614, 9.024831810211968, 8.990153744538912, 8.862380603336616, 8.86184154924895, 9.058953664785221, 9.000708622968673, 9.083263777400227, 8.997419348467316, 8.939665448098966, 8.980154006540573, 8.933173645551427, 8.9178535488381, 9.125754626533036, 9.059599606183777, 8.93232880474366, 8.993533114137495, 8.94127786605443, 8.956421167464542, 8.714754916829358, 9.04241285525269, 8.806464758763935, 8.989548607530367, 9.163005659050263, 8.973786061595286, 8.974010479287497, 9.095489989910822, 8.81882966058983, 8.937685927793208, 9.000864360572274, 8.995637137577821, 8.918101030246389, 8.884814713400557, 8.852089720540972, 8.92543471439519, 8.846238373310559, 9.009907357718198, 8.848114621099649, 8.876097510879402, 8.787675531567164, 8.902463074234461, 9.147317417372005, 8.993851077379428, 8.911811268525417, 8.997302769663488, 8.883578826717057, 8.940463784855757, 8.99659835012272, 8.811184246879616, 8.796245413984545, 8.979574153977195, 8.97078722106078, 8.858948050598856, 8.924144296997342, 8.917201720400088, 8.87463942010534, 8.954561225776816, 8.859371306968741, 8.811799039630744, 8.8825097185977, 8.763267760402107, 8.863979940684874, 9.102910812814763, 3.674552786151734, 3.744728086455022, 3.733696408366309, 3.6607994667494177, 3.858399127221555, 3.7240381094485837, 3.812368714411812, 3.6382361554250666, 3.650985598994812, 3.7086083821209996, 3.5188114434077318, 3.6666295453178823, 3.884967835487852, 3.812135296491604, 3.7772444131447678, 3.6134796502464392, 3.843814467330149, 3.648998323575347, 3.7436965578437773, 3.702112651222458, 3.7703987221994795, 3.6440552438289306, 3.6015859621480555, 3.646196329659678, 3.646034903971839, 3.7685155526212237, 3.667874543149118, 3.5686001136354224, 3.6257570859311254, 3.6711647893523134, 3.7591101939442044, 3.5901039943897866, 3.719725856029136, 3.787875914766981, 3.8527048825969117, 3.8178867010631152, 3.824483617029954, 3.8135149194743936, 3.5703221085474146, 3.6708855305971517, 3.781343814106299, 3.8613776808858296, 3.6238948346667663, 3.7656292457760046, 3.502776790255557, 3.624270010019728, 3.658553005972014, 3.7388829588728707, 3.730768434418285, 3.662521844309928, 3.7845722605413337, 3.578868861488024, 3.6623184816544407, 3.741404703284001, 3.7494490448999107, 3.764728743030687, 3.6009096644516174, 3.63975609272997, 3.827089714343958, 3.6293514981099233, 3.63807316369977, 3.767345942063704, 3.6890837726247434, 3.777154988407915, 3.6596690208928395, 3.642157846285198, 3.667385620170223, 3.553558386356714, 3.7926330406636453, 3.620429241641554, 3.8424683631958776, 3.7934778187775247, 3.803191717243527, 3.521136291183217, 3.6308120851485386, 3.8980131459489873, 3.703129046055577, 3.781597476929821, 3.7871996418632947, 3.769140731421982, 3.7486961007586985, 3.8339551407147447, 3.6874202349725813, 3.762837047643879, 3.6954254062698206, 3.8472299984157914, 3.83307522226787, 3.7112930157789346, 3.749797859178667, 3.683639668485253, 3.6033265508742223, 3.7175660222356366, 3.6249769968029164, 3.649402468395936, 3.6931833090105775, 3.8579186765266402, 3.687969436307089, 3.523797532891279, 3.794308186745436, 3.736476052109715, 3.948911952261605, 3.5911378493199853, 3.76286543884305, 3.688381425123804, 3.777334569899138, 3.718401686606447, 3.771690245784164, 3.650052300757665, 3.799342637527099, 3.698719164707536, 3.7254921022269625, 3.6833679356090325, 3.790888506492548, 3.5943609722558567, 3.5909127832944048, 3.808482557410966, 3.7834559800274072, 3.774141906274511, 3.8865222934053736, 3.6362919685238726, 3.689726278362299, 3.77510389025393, 3.709142453557025, 3.753626476925945, 3.9572850642630892, 3.832199752458752, 3.778498025002946, 3.7369562607693885, 3.7335749057576746, 3.672600514503623, 3.8964081561037958, 3.6560131145813526, 3.833313515359751, 3.72676268851417, 3.899031375692636, 3.655547784219579, 3.8566525114416685, 3.8737411703604057, 3.699129174452067, 3.7197758094855438, 3.4981704367803075, 3.81476564300511, 3.62661691038492, 3.705785570889349, 3.6397886191641784, 3.729628455285453, 3.8192653893397326, 3.522112304426698, 3.6673254350647473, 3.6545986258266354, 3.5471636926488586, 3.8268140508281387, 3.7945747922703865, 3.696799399320785, 3.7130243359105632, 3.6633057444959203, 3.754681844120426, 3.7419126274576935, 3.8453001425846507, 3.7114022218109293, 3.7878639517100408, 3.565493216014373, 3.7881184267606542, 4.0161581711592, 3.7401584657179963, 3.6514122731846084, 3.732492116248262, 3.6478790116080244, 3.7969230658890885, 3.8458826165233706, 3.788563747160847, 3.6427630450395068, 3.654252721750708, 3.661483562964545, 3.876398079122721, 3.8158215007819587, 3.592247028037524, 3.613942539472237, 3.8770648385373407, 3.7279803774944473, 3.7182059999137684, 3.719885234453527, 3.62223465327385, 3.653903141150786, 3.7390153184706367, 3.5764426871860318, 3.743102396811524, 3.8375977660014455, 3.5877859031528696, 3.595622096375554, 3.8307911014596505, 3.779513416717361, 3.6920328123905555, 3.5518968916323725, 3.7498408392715015, 3.7078643122936077, 3.7003921273161, 3.6807180495399394, 3.773240452933118, 3.6646125265781238, 3.518691730905928, 3.568088554463709, 3.5115876040660194, 3.7149261329079373, 3.9394455874650363, 3.804884488359257, 3.857928984156131, 3.634226471263492, 3.77666571569786, 3.7059928731970597, 3.6643557081304756, 3.70861893232448, 3.6864457947891305, 3.702150854846647, 3.712897356071574, 3.821096059498164, 3.7623299577705853, 3.8414409529617237, 3.835740815435091, 3.611784182748125, 3.705899439182699, 3.612206164070597, 3.7302272339916276, 3.6164338468505752, 3.7527518596745764, 3.7178498438864214, 3.8908324374433687, 3.5944741745046644, 3.7135054714857194, 3.735919294892075, 3.7739510489778874, 3.7249110784283714, 3.5816074335649306, 3.6678165975675263, 3.867634085024014, 3.6143621916419963, 3.668098541314867, 3.814254638441569, 3.5832837265760324, 3.6997054835456136, 3.699726815584733, 3.843176775432814, 3.749035998098701, 3.7001377821689916, 3.7575055128580828, 3.774434141803446, 3.475086012530335, 3.6869918593515476, 3.725867086788227, 3.8990400427849323, 3.9066626369225834, 3.6722342362406892, 3.6991207055460436, 3.7532925071213037, 3.7744228261278536, 3.618227109479747, 3.8514720573199033, 3.6766912987448075, 3.7983121471593058, 3.6227774935444055, 3.6925959257342473, 3.539842532249573, 3.7031246954176527, 3.7083116751794973, 3.7321588741636695, 3.6882840924462124, 3.8653484284488733, 3.7532883871912626, 3.7898271115380555, 3.763624201083069, 3.7830338274750464, 3.968107397173009, 3.6439052010903747, 3.5540497888606284, 3.7961674888233707, 3.7178983607341682, 3.808546185956653, 3.715090321252717, 3.8489220690785975, 3.5823970028882566, 3.675972697703875, 3.8202500811725013, 3.7157623185012665, 3.6403238929531336, 3.694515974365646, 3.5584566208116, 3.7718085615138928, 3.575826869061557, 3.6719843801732424, 3.6900941429270353, 3.914724176855442, 3.8601492399938744, 3.96346131336847, 3.727594546683099, 3.769946437716154, 3.656168382273484, 3.6291329939949675, 3.743932635731313, 3.7109313281663465, 3.645659185882808, 3.6611252496263473, 3.733436855839453, 3.5025073083912464, 3.6409270522703663, 3.719031981735212, 3.6182986047182895, 3.6651929906703624, 3.5801537115931623, 3.563372489195706, 3.6633638093466923, 3.7920515163546424, 3.8691447369933343, 3.7059771254285065, 4.029281724227397, 3.9039721807309706, 3.6817254173650733, 3.5883931858059475, 3.743501328058325, 3.746150164309191, 3.8319499761542364, 3.8226178277384304, 3.695418931806904, 3.6676474615872388, 3.7685596466757074, 3.768896498574233, 3.7337955167089296, 3.7954453656230074, 3.7195608419141197, 3.9566304557375718, 3.6761307914440997, 3.7788143056701036, 3.608070228556873, 3.816705734762641, 3.6838242867563835, 3.7832939941325163, 3.5870952413765016, 3.7665931024718904, 3.806442736620138, 3.728581452113777, 3.780961284449799, 3.7136785610706307, 3.716452051088633, 3.7092477482043096, 3.7975171960085157, 3.750917531085848, 3.6340348178262523, 3.6818021197650124, 3.9564335678300964, 3.6145674818179994, 3.7421735877036424, 3.7104823546143813, 3.672417738569477, 3.670114191534653, 3.748001057143178, 3.602722855230322, 3.8031120870071344, 3.5837553202830588, 3.7739377461850694, 3.781986662663002, 3.617560298228888, 3.647384067568663, 3.850059625419908, 3.6876695785227263, 3.89122587416643, 3.811377885125183, 3.698373540593628, 3.712050224123266, 3.712066652429796, 3.6785215350834344, 3.8155736011891443, 3.750118779325728, 3.854380287087985, 3.735251146433767, 3.8617306906871764, 3.982881437462665, 3.6099190651903657, 3.6977533577990402, 3.7681544213927083, 3.569158828781653, 3.6728131258005092, 3.7577200229083783, 3.641721008860613, 3.7232786431355653, 3.7730257569101395, 3.701807423016949, 3.7506082196232002, 3.707420823167929, 3.820468592163816, 3.7666979980227495, 3.7598317059691078, 3.818687122049392, 3.501236718883649, 3.756033535772873, 3.718503193736757, 3.807000319025891, 3.8722006365068338, 3.83305650380228, 3.559323448743481, 3.6882049141435362, 3.774052271639381, 3.5475872584500356, 3.739554096615665, 3.655473431995267, 3.803164834955152, 3.6901933048631257, 3.575465523859329, 3.7744834045593945, 3.662598660624833, 3.653996770539005, 3.68176296842808, 3.839566058394263, 3.8121345336448447, 3.737288496164636, 3.708896070597966, 3.7058395296056545, 3.4407294733951224, 3.742898818318078, 3.7266033925737303, 3.8152344226147674, 3.6734382519484186, 3.779163185741167, 3.815165161190252, 3.627397668291158, 3.7346095392778875, 3.761464520673021, 3.8093267531854744, 3.572130254270024, 3.9765683886935066, 3.875984195284336, 3.7143817962595653, 3.817345179138707, 3.963060045620487, 3.835397311201331, 3.655769909066722, 3.4697077909170337, 3.6786534436377294, 3.8008747325327312, 3.699121323055989, 3.649388882688949, 3.552097720048959, 3.6743258979703333, 3.6988065570789797, 3.62675402708619, 3.7014785914486166, 3.6909434850649308, 3.732466704391567, 3.8421257816546777, 3.623590309499272, 3.786080594270417, 3.76862720166378, 3.705944653946526, 3.694793062974983, 3.6801378763951553, 3.6763899477069364, 3.618549102979554, 3.879355662284729, 3.622645664980141, 3.7423131104244653, 3.7407694286966877, 3.8168671926495055, 3.6887567532907193, 3.634132974634096, 3.6358028231073374, 3.50934571197961, 3.647055739224945, 3.754742734180216, 3.674679911836374, 3.770944958711071, 3.659116004919194, 3.62087912470154, 3.792730693629457, 3.870225807229667, 3.630906258114801, 3.6829312565767824, 3.5851573683529194, 3.844627835636781, 3.78735960704122, 3.908963862064055, 3.755448377419889, 3.660837274416443, 3.7469022027555456, 3.597961957351546, 3.8134575742688344, 3.8138401897675567, 3.8853938225441373, 3.8173187643205444, 3.835308270174994, 3.6340754307232213, 3.751945238245809, 3.584391932330846, 3.607122571772262, 3.788795381422849, 3.5528962179131454, 3.8205955718623015, 3.602204733157136, 3.7309448620449484, 3.7163974408942644, 3.7656319348062866, 3.7165064027817474, 3.742302908880957, 3.5761926804597044, 3.7529306537889564, 3.7494612927655147, 3.7453810791044053, 3.785524013224272, 3.722358348874593, 3.692711298765794, 3.7942219186950066, 3.713435439318989, 3.7393740827795234, 3.8202708625588735, 3.843915578418332 ]
The given time series has an increasing trend, is it a linear trend or log trend?
[ "Log", "Linear" ]
Log
multiple_choice
null
null
7
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Log Trend" ]
Check if the slope of the time series is constant or changes over time.
Pattern Recognition
Trend Recognition
443
[ -0.03025860154975815, 0.05334518044928988, 0.08548093330530188, -0.05987698529830465, 0.02955995235970439, 0.20115706861866967, 0.13687757939361417, 0.09746546685399574, 0.3297740487814041, 0.2622988286624027, 0.2399850232775313, 0.5047583615610239, 0.1980498613146301, 0.2159803751869832, 0.30028850310808747, 0.38835237940257306, 0.42563804416282897, 0.3272898597849039, 0.2800196913608153, 0.4964769620102148, 0.4123967360351709, 0.4755287915978104, 0.5011980537846419, 0.6057292519029132, 0.4760508873157979, 0.7031229947459023, 0.5462333417468485, 0.44305617317270957, 0.49258161813525814, 0.5039443851654068, 0.5520205613502498, 0.6660392970209243, 0.7559746707846173, 0.44813369078636034, 0.7744637249007469, 0.8407696496335154, 0.9188441853038625, 0.7697617311771348, 0.5638413541411694, 0.6209699363030707, 0.8580891779483452, 0.7915103023236721, 0.7323236119631344, 0.6590928018972542, 0.7134580127500977, 0.8862475290404204, 0.8941672601120952, 0.9552189501570669, 1.0027588166229284, 0.7950431634748907, 0.9869922855069916, 0.8322717946586967, 0.905584288490988, 0.8563107343606213, 1.017933652054563, 0.8941935485156912, 1.0280198918399084, 1.0221192824294105, 1.0989847149432725, 1.054292636728673, 1.1933916816710983, 0.9527397802309724, 1.106904898843549, 1.0778329306062036, 0.9724506394462715, 1.153673791300018, 1.1530922854652943, 1.0133878454581218, 0.9205245895848517, 1.08695073857663, 1.0384301555324411, 1.1328109992006878, 1.1270442830460674, 1.313442917447269, 1.0707785404823809, 1.2128818594556297, 1.0276195767218839, 1.073893570595183, 1.1364722326820091, 1.1050297465915824, 1.2419692604750503, 1.2042308468613663, 1.2981032211532866, 1.1215592604669617, 1.2505271126399766, 1.1666446381069002, 1.3766150576115768, 1.155028537585009, 1.090067778121812, 1.2152762054447646, 1.1698749152300465, 1.3043374264034069, 1.3561380963015255, 1.3787978108824128, 1.1000832203805615, 1.393604563708245, 1.3517816661041928, 1.4068456354722318, 1.432212991202635, 1.2900769939029886, 1.2687604906550467, 1.3994002350515253, 1.4704808393136342, 1.2561204872615936, 1.394858124628974, 1.343846705746408, 1.3506267133143313, 1.3709796857979888, 1.4824967787908825, 1.4818603031196198, 1.3421210335627562, 1.3004401808409165, 1.552109743827698, 1.5317088370787835, 1.5820784822317357, 1.5197066662211118, 1.6048950909060427, 1.2466129944807534, 1.4731873069314723, 1.4219237320468177, 1.6963367348979501, 1.3843353449410731, 1.3763404116812903, 1.4543233268654303, 1.470845982954191, 1.4920103784345422, 1.6262528989703438, 1.6902979364294586, 1.6452791813503056, 1.8022368930034485, 1.6888866534305313, 1.5032750690768872, 1.5613367953780142, 1.6576571511966438, 1.4688720606314285, 1.5592613934218076, 1.6613822575243524, 1.7933680446827243, 1.6113059371001683, 1.633046046999972, 1.6711278501165268, 1.4517958384547032, 1.5947931881155275, 1.551057242224402, 1.7198931449293549, 1.6038741462917712, 1.7749027593347118, 1.7024070361246173, 1.6483713938777218, 1.6135404708854757, 1.603831049131124, 1.841831689189251, 1.4824138830523816, 1.6829581577541077, 1.705202958423581, 1.4760288092177454, 1.8380859048387175, 1.7335075663950512, 1.7907327260303463, 1.797183839928129, 1.8189915380475388, 1.8140584436757945, 1.8191036414979167, 1.7823130667239, 1.8472022713010563, 2.025906644445743, 1.672938306805226, 1.8147805359845786, 1.8521232540860735, 1.61931621208443, 1.9673956124512655, 1.8480093031719294, 1.8189961914855466, 1.7566706256513929, 1.882011588066196, 1.6905491688160494, 1.9800027649062313, 1.9165123564333342, 1.8041528473216677, 1.965277291913426, 1.6517695857174994, 1.7297219686215781, 1.8413435489360468, 1.8501871102748657, 1.88962007620952, 1.8700055691532382, 1.978431572611072, 1.7126103205924545, 1.671377905530492, 1.7275453179248221, 1.7420713998493231, 1.8804478661533117, 1.8672340137750694, 1.9182176007594376, 1.926889449619499, 1.9228508786465373, 1.7459877539444606, 1.8826999541309986, 1.8576722616419261, 2.0357640796866727, 1.9527446159731652, 2.1082846432524627, 1.8277472453825225, 1.900852345094949, 2.026502088318778, 1.889679258253135, 1.9811013110294515, 1.8868307218214626, 2.0683368889243976, 1.8154579017394257, 2.1516576310144195, 2.0411231617171373, 2.018025694631304, 2.0116831048597743, 1.9069274561543703, 2.0513590931617625, 1.9327752961892577, 1.778262930932389, 2.0019066647967314, 1.9222387627369437, 2.015098190985012, 2.002890582722478, 1.8667106410494223, 2.172195783778154, 1.949506034033067, 2.1267061434382506, 1.952454866740331, 2.028882120327056, 2.059385547909766, 1.831594572296419, 1.9767906529021375, 2.0685762383501007, 2.0517811738915492, 2.0532194629957035, 2.144619059128274, 1.9761743336347568, 2.067457594683152, 1.928387451238265, 2.017226440481793, 2.194215509384135, 2.0761675882660273, 2.0312451153448228, 2.0005026551077942, 1.9473970034012686, 2.1843008266174424, 2.304146620244252, 2.05298539330496, 1.9173795633653428, 2.256239929989316, 2.0157242115374148, 2.147011297601872, 2.1647316780701598, 2.228116655020447, 2.0959760520075292, 2.168762820688019, 2.0932087010393605, 1.929914515684572, 2.091022009017171, 2.173318074829231, 2.0394698022408, 2.151927661973428, 2.1731473519864197, 2.283551907224513, 2.060214611059961, 2.1806787424010547, 2.0503483971560788, 1.9444309409768592, 2.1185390721468047, 2.114806823315908, 2.2071405468827647, 2.292197120022051, 2.190107603244709, 2.1177224246902386, 2.1036583131424695, 2.305680221756594, 2.2610660252788297, 2.107262442294739, 2.062205418300399, 2.1135250445132283, 2.3041006596212408, 2.1139881314915283, 2.2575696433380212, 2.384017452793974, 2.138309889727475, 2.183334396919117, 2.221019234208036, 2.066758755212195, 2.1593999269458353, 2.251306285913962, 2.1393591207364726, 2.4534312346049156, 2.1935161566674357, 2.2280771874133167, 2.1914665193818457, 2.227630669847999, 2.1827364986717472, 2.0504652747643473, 2.224997593422717, 2.444729126631856, 2.4299144269301673, 2.1645558383838566, 2.1134043684861474, 2.070708211761784, 2.181665058462071, 2.226345464809471, 2.3250982231768855, 2.24629424531709, 2.3785756724389326, 2.3530032146081696, 2.3312076325406674, 2.2873437029867176, 2.401141231994696, 2.3687089923624023, 2.162162986564863, 2.3638705230162618, 2.2564229793392414, 2.4086521458542527, 2.38529635955007, 2.4943464124526793, 2.1254798566121194, 2.3588079793789762, 2.265885780356783, 2.5467429465428877, 2.0330365149157923, 2.3830298609416642, 2.397802208750716, 2.131095194324032, 2.3995686741896165, 2.1486724469624874, 2.2807536569022373, 2.3968017470104526, 2.2609131653625263, 2.3690387262537853, 2.363420805282273, 2.420304633481905, 2.262683397936573, 2.464780482754942, 2.085914549003416, 2.5295137612223737, 2.3546001050307575, 2.3674812931269207, 2.416461569041053, 2.407383110134013, 2.3906822555612677, 2.518322079540782, 2.2435335517141035, 2.3033829020634564, 2.4448350778787225, 2.3674322823756446, 2.5357999529036857, 2.6331781217496353, 2.4124197886236143, 2.2424397858078717, 2.3290320624110428, 2.2154042590533876, 2.484133266230527, 2.3301203613546253, 2.4114289607337924, 2.4009698703133364, 2.5454293482813606, 2.4405851980921036, 2.4104497404873895, 2.3480278838675646, 2.5029529269296193, 2.3349701846482085, 2.322178521316852, 2.390718369293839, 2.6610046026193057, 2.445145822659911, 2.4524225157565684, 2.4918540891609955, 2.4857632965917635, 2.443181240076134, 2.3705888863960163, 2.4259167916206676, 2.4516301169529076, 2.333195696920354, 2.455595330748051, 2.4991374906639465, 2.428437128543856, 2.608285323430863, 2.51435510711534, 2.413075228016318, 2.4502892126306794, 2.616871345118516, 2.434790060577566, 2.4185733813324988, 2.4166056182333895, 2.510981395859589, 2.527892221410964, 2.5762163917833045, 2.4379256950727117, 2.6647759378226734, 2.5663654393337914, 2.4759961427220354, 2.6026704532382596, 2.712661372163872, 2.573230201130952, 2.7028621529066856, 2.428337449348131, 2.3387104704282913, 2.587132950432817, 2.6497274828611284, 2.405748267320864, 2.664972720522416, 2.499308874298883, 2.6062146902725303, 2.573960458647791, 2.596271123906563, 2.6087451863439153, 2.5456614640714506, 2.513393015671443, 2.5932233172135524, 2.5333785402767233, 2.493928761823215, 2.5972942126749445, 2.507961761242458, 2.550446907530381, 2.519029135664842, 2.7303776513628533, 2.5870960900458324, 2.420310864866008, 2.705546417910578, 2.4018360145119853, 2.7992082002786343, 2.5914369507296713, 2.5272438810195563, 2.55547258028557, 2.4347465821969236, 2.585792238083458, 2.5537267368655985, 2.594205117239753, 2.6925763434176044, 2.635090222954561, 2.491261093977104, 2.509983517058423, 2.6362629803344317, 2.662290937342541, 2.608166124697049, 2.673033836962008, 2.6338936005009495, 2.638820044323721, 2.707782558845097, 2.818124309869847, 2.657887291926689, 2.938378566411881, 2.6466082012413294, 2.647069763056219, 2.8316680510478665, 2.621892258374452, 2.4593596424965605, 2.5330723760843745, 2.7350798679905957, 2.6954430612721128, 2.5557960283827965, 2.4549239337250004, 2.6147113866075458, 2.7746105429532766, 2.645481009118505, 2.623268418028677, 2.55094813415674, 2.6305078011292125, 2.7181759540826658, 2.647820947011342, 2.6520296652050996, 2.7830477034139043, 2.5950200980171387, 2.721914001183282, 2.6612062883584975, 2.842897403548347, 2.767449820714365, 2.816630375594213, 2.7463502473440067, 2.6377294123349753, 2.8304094307840297, 2.7267263899666307, 2.715219028099562, 2.6154937900348822, 2.7706419387428958, 2.6559017209453866, 2.6476706716288385, 2.7323263678314462, 2.642541551362445, 2.630374908055276, 2.6145830699469057, 2.8130801170010837, 2.8553052423024754, 2.9052741656609693, 2.8094330009542166, 2.4865001278513916, 2.7518048573099283, 2.6970016317313124, 2.9624961197071857, 2.7647677360472973, 2.644291186575268, 2.6566436047422894, 2.556436012671892, 2.7260478614464825, 2.5778533793376077, 2.534853845825536, 2.6455131836356527, 2.6380740840945966, 2.749564386157569, 2.7830378365543993, 2.746540847160102, 2.736801346016226, 2.7889573444531246, 2.866981749667476, 2.6538651840448573, 2.788186976325918, 2.7597272589713895, 2.799881276379372, 2.7416586991571945, 2.6737648737989033, 2.7505815880321034, 2.6935013115444417, 2.6692456367307438, 2.8885328859497084, 2.7869298814371817, 2.576061955970807, 2.4458065314178175, 2.7620030918805463, 2.7157419906729148, 2.783140339363384, 2.8068253858834287, 2.783095887868321, 2.7080837554493105, 2.88507244558611, 2.6732438600431467, 2.913169668227098, 2.85153218883966, 2.7293159664700357, 2.840811811428624, 2.7629163336302978, 2.9369691717063695, 2.7384515470661848, 2.8842878669398835, 2.6789456550245694, 2.84113043632306, 2.838931568092242, 2.874346397252544, 2.861909105529507, 2.783844623997283, 2.621992457468157, 2.683507201161653, 2.6130931495454206, 2.79437036425503, 2.9362114628207805, 2.750568348124094, 2.7867510632970633, 2.768901373070885, 2.8546629385579316, 2.848841877805882, 2.7912532408490343, 2.7378543423077617, 2.899242027807417, 2.9477981141606326, 2.920246056924347, 2.727094699497343, 2.6157652587202556, 2.8211687257230613, 2.9843728232289024, 2.6493376899198644, 2.8089189148328755, 3.0126745156349535, 2.9514979975042674, 2.8781950516878116, 2.737391147221031, 3.0076267967806585, 2.8414847993829127, 2.636837424138546, 3.0079714055378877, 2.7612944227848764, 3.1847975610703827, 2.850004744079324, 2.912294130537386, 2.8808921437101094, 2.8466584175246408, 2.954191827140993, 2.896585376426295, 2.884216171880532, 2.7767618852143126, 2.866462463637957, 2.7654566174854716, 2.925165182684774, 2.9201963271745948, 2.905481282255575, 3.0137224730680066, 2.9713143758159273, 3.1011701712129893, 2.9927212540027197, 2.9115145574954995, 2.867718048274656, 2.757855910885097, 3.038169471654243, 2.959276696377003, 2.8585531932909656, 2.936379336493553, 2.9205334640706173, 2.8994138020843025, 3.0026941788892993, 2.756878107292765, 2.9985698016354725, 3.04672060567394, 2.8051879543908402, 2.7222669198123826, 2.966072630534371, 3.0176973688852655, 2.8346145463378742, 2.784329144957647, 2.737738220129557, 3.0356486164656573, 2.918385277009161, 3.060771878628641, 2.6543120554563737, 2.9418391900991443, 3.0464577200858947, 2.8426487022966436, 3.012036946963485, 2.8341476521181543, 2.846353402930109, 2.9497845150559967, 2.883667416556429, 3.082723406634236, 2.9481475061286853, 3.089449986319577, 3.0176652331719334, 2.860666805409491, 2.9756039749712295, 2.8715064371475516, 3.0717536015016487, 3.1035787644803827, 2.786488392707801, 3.017457401312257, 3.0834365439561275, 3.0531553519273844, 2.9550206031746997, 3.2413042078643084, 2.9919118685949386, 2.8214766596971845, 3.0405758301074273, 3.0819934609514372, 3.0333626987629727, 2.9962935155658124, 2.838176522074454, 2.813364473599259, 2.883270040271641, 2.7409550846376844, 3.135982526768637, 2.9915909282035367, 2.952412970398527, 2.8436536816826545, 2.860434013340646, 2.9923522586196682, 2.962874577474359, 3.006436850400349, 2.861851479454343, 3.0344847292331005, 3.125666060375391, 2.9704521126911945, 3.0789001167113135, 2.9845363737995183, 2.9648814929371583, 3.0477039313627694, 2.959556156328827, 2.94492852674339, 3.1172731893084604, 2.8286830692468126, 3.0209567618771263, 2.9076137663337165, 3.195436108148687, 3.1068976415151894, 3.1454993959002224, 3.038734162332634, 3.0836127782014526, 3.0429234386750683, 2.9669471949531743, 3.20178511386178, 3.096424824866353, 2.945064246947744, 2.872313450661575, 2.9286037327864505, 3.037301337036168, 2.967914061495504, 3.127815404990349, 3.063747500068627, 3.012306039476318, 3.038771616447248, 3.027696336016002, 3.0180145451807943, 3.081311542509494, 2.9927716140315117, 2.9287840422106193, 3.121695039665501, 2.9687157192345155, 3.173692514093445, 3.0345357875786916, 3.0077232253161275, 2.9603024406002794, 3.024200326639463, 3.0914741930253427, 2.978883430399212, 3.132842166078129, 2.949859756099441, 3.1534076574332524, 3.0742752688724235, 3.01958717420458, 3.104352844787879, 3.2276082285055288, 3.1839781835285508, 3.106448120597579, 3.1649524794936967, 3.0303406212407187, 3.011038547059015, 3.146553342895385, 3.1004775531683157, 3.0490190546956537, 3.160031400933089, 3.0850770723344763, 3.2104595600947214, 2.8718604316119785, 3.0340985870080526, 3.1783431983612473, 3.2525488154689723, 3.2213689008785775, 3.0266555882970145, 3.2180105086273296, 2.9113664866884688, 3.001896322228041, 3.0693622357890398, 3.1419058488699783, 2.999697246674054, 3.0853164841983154, 3.236696246499438, 2.9842342684434953, 2.9776941967670045, 3.0253234748587574, 3.3443938012255368, 3.1488424539709547, 3.0224398363401535, 3.201447949548264, 2.927173370961529, 3.0989940388808637, 3.126819852599136, 3.225868581986477, 2.971917134331237, 3.2456471347718288, 3.2210986416729055, 3.253409548560947, 3.001009441201982, 3.2958057429458805, 2.9354572369075007, 2.999671724991453, 3.143969600444828, 3.089646116940446, 2.9946036873592656, 3.3663094629669343, 2.961522258871163, 2.9588699972211394, 3.1663073265616344, 3.1295633661545494, 2.9900145330878867, 3.35548638904353, 3.149108660025265, 3.0831153212710096, 3.1411953230886938, 2.9852320502540826, 3.2525800311315054, 3.1710912480388855, 3.121428294322367, 3.1473642168327114, 3.0599697309200233, 3.2635603347580804, 3.08588745290004, 3.0968577484601303, 3.1735884119417257, 2.9543552895159415, 3.211243599556676, 3.1545745218748187, 3.2118170951545064, 3.135717495675051, 3.07687186620903, 3.1737560821955926, 3.2628175820179384, 3.1093289967557776, 3.248978441043059, 3.137348631035973, 3.1227525294927134, 3.258192541687312, 3.2054936643874665, 3.0350974470633707, 3.1531567017317212, 3.058316621763311, 3.228440860496018, 3.0858965381582495, 3.1941903168335224, 3.2312226221113187, 3.2334411674069656, 3.1269932394271054, 3.187805813728034, 3.1143540298828296, 3.1429191671311796, 3.0916462479917484, 3.1932913768785176, 3.2366990974438994, 3.1057383352580827, 3.107452609255865, 3.352013804271945, 3.1096432508015983, 3.2667420393900626, 3.2967385114656262, 3.2256868982008284, 3.2348713172525074, 3.2067385322435618, 3.0643027997698606, 3.309017302867638, 3.15843999219325, 3.287541441534212, 3.2031943445759077, 3.254501385152249, 3.2349955624837667, 3.162277883762851, 3.2892692579358425, 3.0777127944722382, 3.335502618995684, 3.3238640247573596, 3.188268484338793, 3.241089945794835, 3.191809194824788, 3.1352810069591004, 3.2108637326261222, 3.2478722775068674, 3.3548493441981293, 3.20296493736088, 3.2250544329811213, 3.3557777837635085, 3.277133758085675, 3.0878278409033872, 3.2256081973246076, 3.3134554184777456, 3.476681740277653, 3.2506160132417388, 3.0249773287861, 3.052266933891419, 3.1667998158967694, 3.14181292400625, 3.3205604815079903, 3.4259597568184175, 3.317602503219206, 3.331862675493151, 3.308463151673196, 3.2797206852169825, 3.1684915625408614, 3.3245366781438728, 3.2103047063904775, 3.330701018058434, 3.2923538673493584, 3.2501943462859457, 3.1770014366142267, 3.245289219754022, 3.1953435021574776, 3.0821530199319165, 3.14487036594975, 3.2861938715972348, 2.997619272177307, 3.496743251097969, 3.209861282366693, 3.3471517822888766, 3.0462772815995036, 3.165582363733878, 3.3707669991830986, 3.307499281933364, 3.2273114432915926, 3.466739347407039, 3.127809889374498, 3.379705019328472, 3.228329668063913, 3.1875968969873814, 3.0768108846152127, 3.0922326215057927, 3.289636426132993, 3.284360718216417, 3.2017875709084573, 3.258509025996084, 3.265152219448983, 3.234071160225984, 3.182082611416808, 3.3360839368150588, 3.4089214125495833, 3.3229540486597373, 3.3301108754582858, 3.363213224979671, 3.265392775338186, 3.2254979549699896, 3.0918415872748954, 3.2366290682772383, 3.229954065618535, 3.1888721500869175, 3.318608883564823, 3.2769050919380054, 3.3399690492539875, 3.1858827749335803, 3.146986259012378, 3.3673111385585717, 3.384134440583466, 3.2185007076234085, 3.2679977571578624, 3.332150644963966, 3.36380197648231, 3.131205117137205, 3.406386301502295, 3.1761233667868827, 3.1697292549438547, 3.269736668340216, 3.268840605569421, 3.3160244690825835, 3.3299424326530174, 3.4849113667319593, 3.225146031146336, 3.42386548402794, 3.170708075206704, 3.195805094394773, 3.2265241663269535, 3.128579212229978, 3.367408033047381, 3.4456392527009974, 3.4154128216548436, 3.1715655123808135, 3.5547938916721065, 3.339007196704255, 3.4833729902834203, 3.3159757638495275, 3.3180830454195207, 3.294401334579338, 3.5395871439252287, 3.4728360799665117, 3.3292516440075333, 3.3039950579569077, 3.411643540651886, 3.1518163348638426, 3.1218319560602823, 3.2366305127803114, 3.378814920048454, 3.4484112068171604, 3.218867122891829, 3.4981449888314478, 3.2917144326495604, 3.3890213510508893, 3.2934079687282685, 3.336710746644759, 3.5300379344849673, 3.2968111068664214, 3.2573017606337507, 3.4191173582949097, 3.4508688206116056, 3.2036886523910155, 3.392229032340141, 3.410159816901793, 3.5320131404712884, 3.3182695888479437, 3.4941976877323144, 3.3766502372556793, 3.3315806441121243, 3.28827112908172, 3.413175298384099, 3.2477272542241136, 3.256281495960941, 3.427023785479034, 3.5522594026572794, 3.226649309296527, 3.296275628621234, 3.3998089742818602, 3.316247414317269, 3.184476738000802, 3.2880002980973364, 3.423443548715908, 3.3474615664428145, 3.4131591209277374, 3.241033595767082, 3.412037742605304, 3.16991483741769, 3.4585438263036368, 3.5181717268961408, 3.2430552560914263, 3.3261640810572732, 3.2360959108151017, 3.3944980655939943, 3.4015852206404267, 3.253477183252509, 3.330357908207454, 3.496890033564954, 3.44584307964211, 3.410736917542746, 3.5019151104931687, 3.573671993027512, 3.407907056404332, 3.4257859691448007, 3.3677549202258743, 3.414056762448252, 3.3274583525834696, 3.2303594315249198, 3.4797866989126973, 3.470619835597092, 3.408850254526367, 3.4154396874771797, 3.3341331443694155, 3.5250107675750755, 3.2842006798675145, 3.5475226598809027, 3.4660068093226277, 3.437767773349463, 3.444635697547839, 3.511821073460298, 3.355248124947901, 3.4909694169542402, 3.373414453666364, 3.4607996703648194, 3.257847688968372, 3.3487080079238076, 3.5925799035779367, 3.551269575808464, 3.5839260607222387, 3.534055846080434, 3.3575152811666458 ]
One type of noise in time series is random walk. Is the given time series noisy (noise dominates other patterns) based on your understanding of random walk
[ "No", "Yes" ]
Yes
binary
null
null
56
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
When we say a time series is noisy, it typically refers to there are random fluctuations that disrupt the overal pattern of the time series. When the time series has a random walk noise applied to it, it seems like the pattern are even more disrupted. Can you check if it is the case for the given time series?
Noise Understanding
Signal to Noise Ratio Understanding
444
[ 0.00718351109641549, 0.3643451325368919, 0.17714787349375585, 0.20756967852664784, 0.16916077502799715, 0.19576882163984166, 0.2107401906578844, 0.07803441785358818, 0.11050606341251801, 0.11828389525211352, 0.07787693334437457, -0.009545258494704466, 0.050068777484085544, 0.11265314970877298, -0.07252854613026298, 0.23606412109312436, 0.03425012764327143, 0.36284654709918424, -0.0014028206406176136, 0.14924367072892022, 0.2996750817837919, 0.17896562597843105, 0.198214899552474, 0.21898895245626018, -0.08561671443824803, 0.03815767653215296, 0.15672115131893483, 0.056500989141803584, 0.18060517183772384, 0.03525558344513888, 0.02119737481515635, 0.1719082156939147, 0.08233715431269423, 0.11875056363791729, 0.05020851621704708, 0.0736962788072297, -0.06694060349618286, 0.22927136818199617, 0.0666936727873805, 0.12469978915933208, 0.05706946519602517, 0.2802270331713159, 0.23923976680127382, 0.344218054534704, 0.1902649626865378, 0.35306903440190074, 0.48478738756851425, 0.3221642110220521, 0.33585484713202507, 0.2231480211011475, 0.37561415995513014, 0.3093601015042567, 0.3703055462319619, 0.517966179988152, 0.3380122726532936, 0.31673259771403495, 0.5433853569634204, 0.26310319784901604, 0.5091448722285796, 0.451763273199147, 0.48232689636831094, 0.6377489235326059, 0.5754680182220462, 0.83492926023258, 0.6816115036886671, 0.7139556542434489, 0.48395549307622343, 0.6324848127083178, 0.40262583016400944, 0.5279500430926318, 0.4255878219018729, 0.4227847127542722, 0.48392931616277257, 0.4900622206847882, 0.5182465152432136, 0.3279308555598912, 0.2189195180211434, 0.22772053784488555, 0.2766528072599387, 0.48499728353171795, 0.10176070261007104, 0.4887349508008194, 0.467585180277892, 0.6473488108049721, 0.5982067513023082, 0.41062500165000526, 0.46991627909536876, 0.34318843786785563, 0.40427841109151086, 0.2734948089919277, 0.277012708660056, 0.3671188491889925, 0.3902968687613817, 0.2751521945824147, 0.056117727121726635, 0.3020024311195412, 0.29489176369665215, 0.19456074332031165, 0.27410656482207535, 0.19886996251568342, 0.29246340515194547, 0.27216090374163593, 0.3088531354141843, 0.4638462923672142, 0.4619753966607177, 0.4679510175983466, 0.36793254547450016, 0.18743550726608763, 0.41904340465044576, 0.16299038502993202, 0.36848610636615864, 0.39987238111809237, 0.15408237427631638, 0.068568418831072, 0.010785712076429158, 0.3762115834951466, 0.28628049635062447, 0.03079732402224357, -0.026733725553128626, -0.008430472434741954, -0.3236536157035015, -0.11711647477711805, -0.3846575962345469, -0.2127125690050346, -0.22508882190281182, -0.44360310959052884, -0.1770290264895467, -0.37415391180355184, -0.3315169804957182, -0.338285146422979, -0.3710460742591354, -0.17444427820376676, -0.20648341556423494, -0.43363316706804955, -0.3452362094400452, -0.23752125346194555, -0.11599428581551936, -0.22602239491481885, -0.22160522370806016, -0.28584772032694444, -0.29568396780485084, -0.4192885107799645, -0.45653387358239456, -0.35635086869181076, -0.44288796809303976, -0.26620023863431175, -0.020743819488057924, 0.032988897814844695, -0.1611333607274727, 0.10669566181830356, -0.04066343068824383, -0.19535050692060202, -0.2334406095851423, -0.4244177177656099, -0.33319254909289886, -0.29489159992711456, -0.10922490010339012, -0.34250081080665273, -0.1693442187949228, -0.10239239549305425, -0.2118024743331137, -0.04101878183605159, -0.09334871642564005, -0.08891063908064216, 0.06830690742965359, -0.1183397461635535, -0.05340148704361394, -0.03219810759639807, 0.06858732696962816, -0.15336924444072286, -0.20240909129592155, -0.18337993137481995, -0.2090724691613754, -0.08789724523457362, -0.05385429453194502, 0.06513915491456128, -0.1122709660821728, -0.35447758876262647, -0.24281653308240342, -0.1803841688787301, -0.31009855938426206, -0.2508731269095504, -0.25180883089650763, -0.1750886301929415, -0.08906323890346393, -0.0641031727319314, -0.2575403104109036, -0.13274525258806305, -0.006390614324844668, -0.1671581611088232, -0.15074145772239866, -0.21449192063327868, -0.2725638617830555, -0.22896720476234406, -0.3347856752088172, -0.4271630121114586, -0.0652318810685243, -0.15853802715243, -0.040461635806872426, -0.01880299300644854, -0.1322020428443285, 0.026352911876299887, 0.20433669961329673, -0.08447248785361726, 0.03307893007669077, 0.026677577356869077, -0.01118837406270791, 0.05926715577792645, -0.06260120965558334, -0.21028858430038022, 0.0013887338821390455, -0.015003162994132742, 0.016952767041852876, -0.32495977667252474, -0.2786427899245593, -0.17452513624022556, -0.07090876580093797, -0.26458290138286605, -0.2035004790701988, -0.025869714013816894, -0.12411811328644037, -0.2651511546633379, -0.3125409631847047, -0.20677553930233167, -0.37516443570371183, -0.30120749996792223, -0.16402972711995417, -0.4048020775335025, -0.34441255413036004, -0.32010924542019026, -0.33051443171112255, -0.44443971576872576, -0.2621709500805274, -0.24095153527416646, -0.43836299503054843, -0.5019227732503444, -0.6074434351012714, -0.5783603272080665, -0.479638659867889, -0.3749644249292313, -0.30212606960500377, -0.01524055445819028, 0.13241457157990333, -0.3623109434497679, -0.377010570735709, -0.3283251369577549, -0.5364561120759574, -0.17443062576214335, -0.2504510529169909, -0.30333903072975194, -0.29869063149593433, -0.08889289552446228, -0.3067650611482179, -0.20982766108820172, -0.06878488264386622, -0.06558719393093526, -0.1894622811714035, -0.2891294300474627, -0.10516007195256463, -0.05126191743085652, 0.03696407982662219, -0.12310529973897255, 0.07470137536846311, -0.020651808939112008, -0.1740630570057322, -0.200487311764338, -0.21371938907373433, -0.1984926690988773, -0.05943544986333377, -0.05877629324678217, -0.21335865973458495, -0.2671578847028649, -0.19620754490067718, -0.31566785350662185, -0.08601561947831354, -0.11005198466186748, -0.24050052066277403, -0.12656206664757402, -0.3420512772828528, -0.019875016368714415, -0.20879178825938013, -0.18277330745442089, -0.3736749246072855, -0.0676430394948286, -0.352533030763075, -0.22526345860692365, 0.03543948517662557, -0.11969226650657243, -0.041283185488394436, -0.45316854282770513, -0.3568385039546086, -0.14808114967275304, -0.22084476102303296, -0.09295580182494664, -0.12866538467847466, -0.14117821801976577, 0.023832137973555635, -0.13705066100545207, -0.23359991679658074, -0.2801469717583495, -0.24089023553113595, -0.24145054927667842, -0.24068289810741741, -0.08427535200165298, -0.11978536109853201, 0.08595714682702071, 0.03946782845870328, 0.07559812041960877, 0.31435601377965183, 0.33692776015461207, 0.23393816084365152, 0.31119301165407776, 0.12134556220370318, 0.18594935574328703, 0.372425076302889, 0.33938979568210303, 0.3300411765211253, 0.3571955163615308, 0.35269927128269446, 0.3655631906371364, 0.4669911574052934, 0.21300595774316575, 0.3628006929685664, 0.20459961335971413, 0.3172553312901683, 0.20326400504861325, 0.441602686046123, 0.3341880875143185, 0.33551222475535675, 0.3212993844066441, 0.18216834180677327, 0.3140132732513678, 0.31881491561483155, 0.2609029537005664, 0.16953991370654564, 0.24989878695758913, 0.1648477003677432, 0.3907907856551944, 0.4415599878323433, 0.24986929770954744, 0.03546896873972549, 0.23712561647686928, 0.4517981481145505, 0.12512960664415504, 0.33860252586388684, 0.5350936866943665, 0.3066790899420462, 0.4114836859270776, 0.2489201763005945, 0.5558968257178234, 0.5306961945678778, 0.4626612511082892, 0.37005320528323427, 0.3547542827999193, 0.3086701408948294, 0.3428186594193292, 0.14125727414271663, 0.4303044098892348, 0.43984823221942815, 0.4333256857607693, 0.29992494864772024, 0.13256064137930443, 0.19532550490137707, 0.06737810085908605, 0.08040977078756785, -0.07522139019949903, 0.3001747705711208, 0.2144434846667942, 0.5875097129946136, 0.53684751920628, 0.3603224929778829, 0.19900395835931683, 0.30729840615450366, 0.46503150909272206, 0.3275029677453278, 0.23626453143164367, 0.4828126624153936, 0.6065271635469364, 0.5040235574621594, 0.4953655076427261, 0.3023384740031196, 0.35325457823015094, 0.3291908429714227, 0.35987612757733295, 0.6271552814978962, 0.586430773140646, 0.4755037144744784, 0.5275439383629729, 0.8397637558501108, 0.6395788870858223, 0.4012261368350106, 0.6331468216899486, 0.6089786210753811, 0.8462535653100016, 0.6101757904618607, 0.6225417216956002, 0.6090056718128232, 0.4425087959147035, 0.6282760947032502, 0.47117930084358145, 0.5758489058003907, 0.5043489713997434, 0.48446339587932225, 0.587275790964129, 0.5514197731569438, 0.5955757358054841, 0.7057817833125395, 0.6956725675056572, 0.7177974242646676, 0.43312559439758386, 0.6261863468204757, 0.44355005621188126, 0.5111470933333998, 0.5212507786587869, 0.6203404113248369, 0.7521505977581168, 0.5853419141615678, 0.6060851519503465, 0.6297232723240542, 0.7493981432568821, 0.8934904905536911, 0.7727221497935075, 0.8497617519058274, 0.876682194014666, 0.7332609802036276, 0.7939889940746508, 0.8152831533376325, 0.9109491518643053, 0.6521836030598407, 0.7268693719564815, 0.7542571135257731, 0.5317300992442888, 0.575240096221779, 0.7892402948395395, 0.6802009908616264, 0.6555708098571147, 0.9193437942516491, 0.830733728486595, 0.8266281570635287, 1.0848611789488931, 0.9017795078940849, 0.9586270330217689, 0.9235341910502096, 0.7867674262790322, 1.086414525299724, 0.6787160816543889, 0.8402981121151656, 1.0343489778860444, 1.0237649325202542, 0.5973486680896647, 0.9602964191356066, 1.0456706048401667, 0.9066721803924073, 0.8587251626189077, 0.9237258073390275, 0.9035074496603237, 1.1145527595151936, 0.941371000628498, 0.9806974559241085, 0.8289011832839119, 1.0333697108782305, 1.1271735936661003, 1.0676072922186888, 0.7803052086825173, 0.9365489053287874, 1.1060482446329014, 0.9499936181961721, 1.0050086721021787, 1.022442146498224, 0.9896357465396027, 1.0111373847270826, 0.7207338337239786, 0.9555684430706098, 0.9041770563287187, 0.8937878689160537, 0.5419070369911697, 0.6138784044543028, 0.6927662548170673, 0.8106484744930968, 0.7097141874500597, 0.5579576989907997, 0.560399812748461, 0.8059072792386532, 0.4542555368617992, 0.4961536138647473, 0.511130274324824, 0.5282496006363218, 0.3765694125385174, 0.6706288751996989, 0.3862570775137945, 0.4816523150298358, 0.4631988332993816, 0.3050909223023458, 0.11350998676871285, 0.38775083127033666, 0.34120004505214546, 0.2590391523791701, 0.35974500421212796, 0.33155637097024415, 0.16508557601429183, 0.23609217389094334, 0.2413584122438352, 0.08430601115478813, 0.33573814907991806, 0.3104879823403258, 0.3522153005739158, 0.20336795665884888, 0.37567274570381304, 0.17983755817384361, -0.014550475060481932, 0.1849830204125971, 0.1447367100139028, 0.17540253982439052, 0.20381586404413243, 0.31740549195680656, 0.14283397765872197, 0.2313062082238728, 0.025986901679400057, 0.1286425651851196, 0.07734720053850695, 0.23399873217994943, -0.09217219998732623, 0.05799275160288206, 0.16596798934440374, 0.2860675500202233, -0.11429911103946816, 0.10474262395838094, 0.0029866097602848363, 0.04417423002674921, 0.144557376303397, 0.11806937315099134, 0.18543579077891198, -0.010126996054181964, 0.33216330589596976, 0.1736379399670293, 0.15591135074040458, 0.2287976289012892, 0.5110495102865258, 0.355761859615233, 0.17049175184178728, 0.21043135175908112, 0.1736541735209497, 0.11850488831941926, 0.543700109546385, 0.2774604678271736, 0.3585494015866002, 0.2779356239455262, 0.4230558263596362, 0.1346840384869137, 0.14221366120180823, 0.15694510169000764, 0.163984151532975, 0.44957474357569216, 0.3506474074232487, 0.2835248733957251, 0.16633201987986063, 0.23368994919172842, 0.28242007057370455, 0.26220675018036055, 0.07806513806909743, 0.25185716756600096, 0.32674251770139123, 0.24365741046625722, 0.008869216253667767, 0.3769758174853707, 0.1325263415302077, 0.25402140249209765, 0.4204247241591762, 0.4985892180031797, 0.6075860987538724, 0.46603089526022434, 0.2945080158046462, 0.3641727902863548, 0.26747629085376023, 0.48401649538111347, 0.24886868055957762, 0.3746810948858521, 0.31397816411768287, 0.5670511716922639, 0.34191118098961293, 0.4105745580190612, 0.5446790753251851, 0.3398583382847684, 0.5184868763262959, 0.5201693661332226, 0.416224573218372, 0.5061691849362693, 0.7675464424191777, 0.6264178823523096, 0.4458771621074582, 0.6109378657121352, 0.5644810308002699, 0.4135304795693286, 0.7835111704073112, 0.5859054931619438, 0.594030891207408, 0.5878849336687484, 0.4328431531901197, 0.4299741142227091, 0.4113377631068189, 0.3166266247345075, 0.4969953268130542, 0.43112666592711424, 0.5097674291170418, 0.3373347183736491, 0.4151986150336848, 0.5127194607487336, 0.32280585482140417, 0.5761184593830986, 0.4307908177930649, 0.5093042335303118, 0.39993150109268566, 0.32449721438061996, 0.41398973542731454, 0.6422409480032656, 0.733895298085919, 0.4310584974270076, 0.43109173473916124, 0.5685579279422504, 0.2003054677226897, 0.3444610796069658, 0.4493341221980997, 0.4591180139322992, 0.594125082703863, 0.6586825198372525, 0.3543697081880784, 0.4418310177075423, 0.34503530071479205, 0.4201011547908556, 0.4801188337932499, 0.38627338345466905, 0.25830805074264285, 0.25650135797785045, 0.13520867085114827, 0.2513260396859624, 0.10989601514420447, 0.14952780854451594, 0.3086085335262308, -0.10148427657670075, 0.01756038813762051, 0.020185979661255175, -0.19083529257662282, -0.21279132419975863, -0.030439745801225326, 0.23570478918329846, 0.1127685951888007, -0.038560258187894214, 0.11425461514787444, 0.35031182041553444, 0.11184221002684006, 0.18018443079598476, 0.11550793385101307, 0.11116407809076864, 0.1941476035876134, 0.12830658358641092, 0.1339729166981059, -0.06804142355460215, 0.21104476384419069, 0.10380535068100125, 0.15515724889379504, 0.10223257200602834, 0.25307781812678976, 0.27627087613069823, 0.17715349434440142, 0.21519999324755182, 0.12288283694370747, 0.42058762248025394, 0.29181247159724344, 0.6047681085794535, 0.6365617332386189, 0.4463480587642848, 0.6155554170172279, 0.4960428564770799, 0.3110534430840751, 0.5023310126955745, 0.2584038891979406, 0.46501348220465216, 0.5883530289291679, 0.5802644316492941, 0.40090940231080646, 0.5408703061921373, 0.5324468592888172, 0.733807211046484, 0.692118538024941, 0.5242200792117293, 0.5105389519157527, 0.7174712419786604, 0.5692771588673105, 0.5190743663126369, 0.46429452363335844, 0.5725625637040258, 0.8376825718680272, 0.7904728324340913, 0.46153295971882036, 0.5528091030410273, 0.5710818294129871, 0.5458367503379853, 0.4876984581570426, 0.5789090579437115, 0.479726238888775, 0.648553092059582, 0.7545033685206446, 0.6217321962249777, 0.746799728066884, 0.48786278361025576, 0.5004834153477402, 0.3325747531233124, 0.6123539389953162, 0.5493646194712102, 0.6397750408892179, 0.6263765335958339, 0.3450495338131635, 0.6011856112161374, 0.4677121799496685, 0.5362720357819206, 0.48960296439262085, 0.38583723208565235, 0.43586353124400723, 0.4219839485827991, 0.5277665975447062, 0.3032691726010438, 0.31566440601002227, 0.5866289740631503, 0.444392929215007, 0.18963904356312905, 0.3969795915006577, 0.48172953282054265, 0.23541183286160858, 0.2637288131581642, 0.18774584643810507, 0.03922494085749215, 0.2981901579775376, 0.3033984572222458, 0.2941323712533176, 0.3874792113861473, 0.36800255082157796, 0.44973397708231133, 0.45566612688943475, 0.6474812866250587, 0.6112959927268865, 0.3867461115486026, 0.6891377806353892, 0.7278465784693412, 0.7215366156813511, 0.5414048658622732, 0.5152406997550796, 0.4880155578151112, 0.7036230405063367, 0.5188968615872095, 0.3653633284367126, 0.668987003644492, 0.5038946073558328, 0.5809591460574626, 0.6266504355232181, 0.745701194408176, 0.6524347530427143, 0.6077451397000283, 0.5124157309540278, 0.7039945999659525, 0.6768291937474616, 0.5335050424839084, 0.49229108815053046, 0.3982107578284776, 0.27539070863313203, 0.3096685901278444, 0.29777375406497314, 0.3958216997156213, 0.1745745254390944, 0.419810137966319, 0.3226629686662973, 0.34224893033028075, 0.26436884313264036, 0.376258737418577, 0.3918344679007215, 0.220086170121775, 0.21454175259809635, 0.14382709082964262, 0.3222388740866642, 0.23005081753101922, 0.20283411792749084, 0.20201984487823, 0.12688183084530535, 0.3850849417204736, 0.4346546238722491, 0.3847799864887, 0.3494893037831735, 0.28904137678982017, 0.21542238609496814, 0.29002522951514675, 0.18820725114504527, 0.1930680102366344, 0.11057360336141908, 0.08669741408778825, 0.1485357801249858, 0.21567000091447097, -0.08362402633170943, 0.05109475065328612, -0.046570547070758306, -0.16388271009232774, -0.26423880049369625, 0.14337836899609657, 0.03871642751836037, 0.06389201826494792, 0.2506946910641963, 0.11018515338748822, 0.18869794397713785, 0.05291789205855856, 0.08175314065499492, -0.020392386699449108, -0.008527876846408239, -0.20729815274481322, 0.007099586926689078, -0.049732142208413835, -0.1439144525892739, 0.2453027269947706, 0.0006174798649997218, -0.12483316873722643, -0.2187719000546552, 0.015429458511650729, -0.1619801398874758, -0.12501513393228336, -0.2166487765647403, -0.3197639896068818, -0.07007443093644938, -0.06254739847990667, -0.07366818310175047, -0.00606544870059016, -0.1656904429490897, 0.06914398756845601, -0.0032365965170612285, -0.15685506216517822, -0.19032844293331788, 0.14257812233990877, 0.0041046681332610885, 0.023626688122455483, 0.1734063101622954, 0.4192641708142911, 0.08252638233782474, 0.20181862725053296, 0.2331283437987604, 0.08926095993273885, 0.06018141355169018, 0.07359138772254435, 0.04977005084549007, 0.06423248369478857, 0.02562119886104639, 0.0016109181625167217, 0.021378127140131854, -0.09471378709226871, -0.038218889691873356, -0.0022237350372601022, -0.029306190140368588, 0.07110793905354616, 0.17299238416585047, -0.06111444884311869, -0.022410331404804515, -0.23881268117698118, -0.009047160742514437, -0.07638386282259535, -0.23942873897920017, -0.051658360351221747, 0.022198776928989, -0.01269874788341327, -0.22962762050909666, -0.18115408552943973, -0.1350401586236164, -0.13879225967351425, -0.14924439183361143, 0.0034992769456126116, -0.21037031205760218, -0.11392063557984089, -0.135248538826892, -0.3199763437332442, -0.29967872648779725, -0.39789771955831177, -0.19910224986629127, -0.3592915799175903, -0.14785627254614256, -0.1451282607998961, -0.25980007445949566, -0.1512088267819986, -0.041981401669494545, -0.277581665405213, 0.013113127404917338, -0.06530304041670178, -0.23609871819512424, -0.09568472083387389, -0.19934104805073494, -0.22891088734475773, -0.2899845662660938, -0.0375904157645105, -0.4677143981835109, -0.2513986557422801, -0.31700018177044187, -0.21788078141127878, -0.33046067796591916, -0.29384869858224966, -0.5514574340139913, -0.6567988961468394, -0.4552085029404028, -0.7381379919218429, -0.594188356443266, -0.6192031927837196, -0.8040676685857377, -0.690361274358524, -0.7628252713524012, -0.7734434768373807, -1.0598784873345424, -0.9318598749671191, -0.9153084236647548, -0.7712037251977824, -0.7028859406238752, -0.8821073724617676, -1.004872940697358, -1.0701986567958193, -1.0046075709104327, -0.9911309332061813, -0.8160950627160409, -1.123842277459774, -1.0619599581990025, -0.8534256936825001, -0.7391872727891964, -0.9543988314287966, -0.9702933141255333, -0.8514880554391648, -0.8223621701315112, -0.6481179326593466, -1.051099834977033, -0.8841457000392681, -0.9623666910407415, -0.8035498270311412, -1.0095717346189552, -0.9895442777139297, -0.935578163624275, -1.112194745539472, -1.2285341754148646, -1.0645693371030085, -1.1635853863276944, -1.0686152586238433, -1.2160108947022257, -1.1343372789464774, -0.9333147058106035, -1.0191742419598016, -1.2345418066787412, -1.1592065485092908, -1.1878353066696794, -1.084537399242095, -1.099139886307778, -0.9160374825057387, -1.124246396932902, -0.9533284554611716, -0.8487857372025668, -0.8046949207495809, -0.8957869211318946, -0.7548221357836866, -1.383652228000528, -1.1223728270057103, -1.1069569995436186, -1.0087649328033435, -1.0464604849398043, -0.8895373125413005, -1.0140048894346152, -0.9851549913872438, -0.9316002996238335, -0.8134309986238577, -0.8300974147502915, -0.6426393788965366, -1.0860560144237805, -0.9046612229822283, -0.9102061434731533, -0.906266143321263, -0.8785113011882579, -0.9725928681405168, -0.6649289733922064, -0.949497866433669, -0.7666897495371471, -0.8773800647771747, -0.8260426974014748, -0.7660339773766449, -0.6739022034173524, -0.6413886714782202, -0.7407171997128075, -0.594106642443152, -0.7446391065277939, -0.6324702978056005, -0.6743069036772784, -0.6712413641771262, -0.5419075025893901, -0.4073229131458179, -0.28116122649804026, -0.4600554457130704, -0.5235670239946052, -0.44093615015510335, -0.5374757647926409, -0.6022572223630667, -0.470108355715664, -0.35693185942636574, -0.42853638767932284, -0.31038913557301506, -0.5173066107257698, -0.6168286932710658, -0.4546438836497652, -0.3719061093995431, -0.33212865806457537, -0.34444584133870026, -0.5655249619665126, -0.3046480954219638, -0.26434590976543204, -0.4153079032403854, -0.36276700901267006, -0.6635376185337167, -0.5877068717368769, -0.5168246942002739, -0.7965116815509448, -0.48291495612419777, -0.685957221717183, -0.7402466523602044, -0.4648504827306543, -0.4928922123387885, -0.46124624260582037, -0.699112113681252, -0.48857898180316356, -0.4802068979170902, -0.438985829263953 ]
You are given two Autoregressive processes AR(1). Which of the following time series has higher standard deviation for their random component?
[ "Time series 1", "Time series 2" ]
Time series 1
multiple_choice
[ 20.072205253009173, 16.963930766606502, 13.243781001585392, 9.05783659499945, 2.4142383150993068, 15.871393732512093, 20.137483831777264, 14.800355888843123, 1.604727947857386, -5.404443845257326, -18.635402206873028, -26.19088363855117, -15.74001707037578, -24.86343638868804, -21.687044972207843, -17.646957771940297, -19.19066296647489, -7.2562757828829625, -15.719207205828802, -17.910734413369124, -11.305314127330043, -6.500700433421932, -9.466835864228011, 5.324379672148845, 2.530974923400537, -4.0147225208622945, -5.553881273705413, -15.074879457785467, -15.401079406291025, -9.398645326759883, -10.543901736388369, -20.05374525667001, -27.995441002815824, 6.512329455667, 5.253804712832089, 13.786257756563245, 0.8278624909018077, 13.10858158021666, 18.408353977136372, -10.583347098763014, -0.06362637212541422, 8.420166685428315, 5.264993462683176, -4.068142796932195, -6.817659160149923, -17.820103787861267, -15.15145406632261, -14.99019614846058, -0.4491920567568499, -4.759982502393542, 7.776021644170015, 12.061076757529985, -8.53713887169603, -8.712324977255482, 1.2599741118354402, -2.3346573744194057, -15.644593937282995, -23.09682228079945, -12.11385437234409, 8.284246667579513, 16.78172104863161, 10.06754729415968, -1.1714190989820654, -4.487813581544858, -7.512937542852615, -12.704744930244054, 8.336419710644964, 6.524150015642465, 7.500863457984203, 6.392657698043512, 9.721927495703786, 0.10151671528493367, -17.91276374066333, 3.672611460026749, 6.941658926210218, -12.562513918949325, -14.592548566627055, -6.9143437627909154, 2.758512564738341, -3.7894985078165053, -5.420477554290011, 6.615439602322753, 4.285554420601608, 10.859401114625864, 1.0042012056478136, 11.438783590230589, 23.272555005937136, 2.598427216293352, -7.9887281496471, 0.3164987924702496, -2.559657730917541, 7.59627275409396, 13.847648232102108, 4.785527807849634, 11.918182412613527, 4.439679496301968, -9.716239974578812, -18.351195738689217, 0.34582061480270454, 1.539643148126172, 8.538500577889094, 17.358668895799426, 28.635575033275295, 15.728961391310419, 8.796939562701844, 11.334504145782468, 23.121621437453147, 33.031047442555746, 32.47981385888313, 38.1590715099242, 35.6410586944308, 11.69285072988086, -5.494351530874621, -5.175276715108419, -17.12679246406661, -22.476558728485635, -26.912648701403832, -19.174316226961725, -21.003386969591922, -12.077360667163987, -0.7623477436594381, -9.048111185868013, -5.351049204407526, 8.529009914289244, 3.2978475435188117, 8.732626682820923, 9.01196220675406, 16.729359843352967, 22.64965168123484, -3.8521948035475297, -3.48898596674099, -6.934419460950506, 4.538853673490031, 12.084508209113377, 3.7775091455569294, 11.289341453610586, -4.665181416495811, -16.913336073076664, -37.285270493849296, -48.04071113869377, -43.95130782861212, -33.277253843228365, -31.706223807646662, -17.264040331215828, -26.94396189356555, -26.118546622193556, -37.754053369636935, -28.262586952308066, -17.547262713331943, -9.561043540100936, -4.937009261586072, 15.587885821170708, -4.212341216602745, 2.4559774138307215, -3.2811571711227034, -3.7577789456563133, -8.435883815120512, -13.733039408137529, -18.37321543126553, 4.954138311015246, 11.823307272729753, 3.929337694685648, 3.900794249338313, 7.760088010491116, 24.44086619427683, 18.906746926823484, 19.97945110304807, 7.214835887362192, 2.9118401082330827, -2.4823070644038405, 6.567623892925714, -5.864667734086795, -7.858949175375196, -11.844967978450569, -7.978007935508433, 1.4698294554823148, 5.269341997185862, -8.892473699131045, 8.688086046171861, 3.837281703736999, -7.776315107764264, 1.7175592769116976, 5.704604755197241, 7.575228302872465, 11.608696114461956, -3.528793832743345, -7.909330165916067, -21.0989528425784, -12.6988754512342, -16.75241871684101, -16.352922318207032, -2.3505265066280057, -6.848092313929782, 0.8608643454483964, 0.42663678273266803, -5.909233240721916, 3.004692164885232, 2.059708408444377, 9.529410274394635, 19.36584111656356, 7.107695160446488, 2.238646004530751, 13.556236585781692, 9.149314266961122, 6.636256739172315, -9.470906600121396, -11.135627894017347, -14.848320891968289, -7.19205817925175, -1.57289450369528, -22.073677467655507, -30.86512792046515, -23.966649210917023, -17.945997793045482, -2.2604452273508855, -10.625734932515332, -9.329219309294949, -13.315940067505004, 3.4106866743728297, -7.592667738676834, 24.597962803276914, 31.25796504878659, 23.82078085736989, 28.5136364049718, 5.148264530009595, 4.448649137904662, 17.761270109622128, 11.206395686490698, 2.7462850263931067, 9.036644092790528, 10.760978076076494, 9.781761328650699, 17.893716684814777, 20.737758482374815, 33.729449725635334, 50.00901161449727, 50.383195043200985, 35.231089320184324, 14.29854979044, 0.006446818954307432, 3.022468061103675, -6.941806213703087, -0.055380725703292555, -9.35497965126017, -3.4419730793756544, 12.889242873696631, 16.075596759665455, 14.337082330907592, 35.31217520848908, 46.68864487891243, 43.8843695404472, 35.10873270370983, 10.703195250691241, -7.7290825473760805, -5.7106352936493145, -9.962624584660535, 0.8211027065710947, 7.745662514488874, 4.4826607790183814, 1.6468421129181354, -0.35946642733124756, 11.59448109822864, 5.346971889644379, -0.43828737225990455, -23.595825550470284, -19.711108025216465, -19.094526068722654, 2.157675128092235, 4.1345711757029955, 7.242688385460788, -13.366292230989075, -6.4230181298395825, -1.6500140638333005, 11.658175071867849, 7.078417728005414, 22.900884840716852, 25.702646371057938, 13.742979144789892, 4.906943650626852, 3.6144222910921178, -7.606954478425253, 16.08253256247161, 7.75537236319269, 13.404331706337414, 6.3168852510444, -15.362457942015048, -3.133465217729258, 4.571799670626159, -2.6527648990095942, 3.771810391117617, 5.410475667363608, 4.687651285395499, -5.968154971838194, 4.017716961759109, 11.859639403327957, 7.697845677703589, 4.364467145143818, 24.551475525336777, 14.08835479982053, 13.750316894786115, 17.691911554617754, 14.827478269081881, -6.16581719427464, -5.826206178028038, 1.639620550018269, 8.092321850682936, -6.203787224540229, -14.172666368588246, -12.890341814509473, -10.415802174984963, -6.26185016239874, -16.999583657452156, 8.69085125723162, 7.383261698353395, 3.5020064920979, 4.587437764535925, 9.97934522881227, -12.983252594979007, -6.7641219978199, -13.597820073929269, -8.545642380559016, -6.883018445693212, -9.089041263298471, 8.411097583402452, 14.803637875706976, 22.341607008215334, 29.47218114235061, 9.036316078731334, -17.798123049758235, -8.321003670505009, -14.200847225685258, -7.789265144620483, 7.864830138300311, 0.10221508427907189, -3.6758839063397697, 7.578761031912606, 18.050412484511646, 11.904073228313667, 11.37502401609327, 9.58635291593677, 14.371052919361372, 17.352106980049214, 25.849997175107205, 15.249044072263509, 17.379867451766856, 20.736220530334776, 16.081198395320428, 15.848436455943864, 8.970070423206145, -3.701049447558945, 11.747700882823349, 10.09108893623337, -1.912379554382083, -1.9687523485390308, 4.467026243611696, 9.508806156936387, -3.5653174441419813, 2.0934552020672528, -10.48554026781469, -4.009399804400539, 6.700836411713965, -6.679387512409622, -11.08521203124973, -3.1545953939403866, -15.06318894246179, -19.85157020941911, -27.201877774943156, -33.64999228221593, -28.53735090528326, -15.159451510496448, -8.505955822253467, 0.16486312817683402, -0.31095972121891957, 5.823919109215278, -4.599726656866189, 20.553107734631112, 8.091035656709154, 16.08037024113182, 13.855399454668651, 11.294897191613911, 23.653255418485067, 25.39568858630677, 26.114468782599975, 15.955070726446602, 38.17991626915587, 34.03349718801866, 25.97854092204409, 21.03215678948806, 18.610796621442418, 41.33514668206959, 37.40048024113789, 38.72037975980571, 41.86723458528062, 23.71509915451381, 23.589787888562455, 26.400952352530282, 16.226697897776376, 12.067728791565736, 7.799051107565844, -2.2575613868522364, -5.827391241265467, -11.678047177121496, -16.108263704139056, -30.77273246348692, -34.91389799567437, -14.297334333334629, -19.74489843210852, -43.938487175936935, -43.73843746587389, -18.77446915709829, -9.767502542822792, 10.250893904412916, 4.1510048123399255, -8.910966060226055, -5.4204333235085524, 1.8107998576463693, 5.121495979857954, 16.931738163752744, 12.598552647304507, 2.425786792776055, 19.751237388764523, 29.742274865197828, 23.443743073204775, 27.91860843617168, 32.038379329379566, 31.963261584027443, 11.98820127007453, 4.799911433656585, 10.372791555470744, 12.058003973669926, 9.737587041595356, -5.501308735089584, -13.186236614891818, -3.981094815816407, -7.214588440900896, 2.4674389954531284, 1.9353831260569523, -9.418749491345828, 4.014698452282689, -4.125883720095902, -6.83500790006231, -20.193064716074133, -12.646019383631263, -16.181469131295746, -2.5096722560821103, -8.573221530509437, -6.805019276826403, -1.2860594768773934, -4.447096001583716, -1.619795159796746, -22.608425276680066, -17.040054029007212, -24.271877472848033, -25.056160197312114, -17.89294138518565, -0.9682906503794317, 16.80863658162464, 17.9254557820825, 7.692518682282963, 11.409337367101104, 8.483811972654602, 6.7746380318382124, 16.964962221368502, 13.076327482070038, 8.610136892204652, 9.580557235788493, 14.644287733667904, 28.690308518854625, 5.8430909223069385, -7.314362517008537, -3.4316813207895662, 4.235564292493526, 1.8224161377363612, -3.3904024653889158, 1.2577406876532025, 2.9028834910431476, -6.619501364649852, -22.59046745724699, -27.216105853159668, -16.139543863754582, 1.421778320763142, 9.586050547107675, 16.198369085020502, -7.200995053498765, -11.14193227849318, 11.334508413540545, 6.390975943824028, 2.635826055026447, 14.191024754938855, 5.922555064837656, -6.575181950900661, -10.548554631682084, -4.402029007462186, -11.2548556655054, -4.021107428717275, 0.7862021433399673, -7.087781203034586, -7.4918080705133026, -7.730897164739198, -23.33744089746011, -13.033469603506692, -17.01930043952411, -6.301920154311825, -4.819334837863037, -6.038405092295722, -25.00835498537308, -37.32014289126249, -27.831768364086777, -25.88290637183684, -14.005108183689075, -10.911849517358563, -33.86489435703309, -38.6870515821174, -43.698208377372445, -50.066032571275244, -32.7769564518548, -44.55662233866883, -50.50429305647519, -56.1295449984757, -39.77684117431888, -11.858885280419454, -17.893004396856718, -20.38195509677587, -13.852280550100424, -23.87725070645116, -0.6651239738167156, -17.499861170490167, -24.709244402680497, -29.86546577629037, -29.602288064866627, -46.72535335584523, -35.58185388010482, -24.64111799985851, -14.2695405039194, -16.705475773426727, -10.728761431047444, -10.890579519322438, -12.95705204360138, -8.555637234027971, -7.576674791511154, -14.514493848442843, -27.098392921758517, -23.105490017797116, 4.5611192115234935, 12.203983787515636, 7.734438382285794, 10.05969403487806, 15.092161141231895, 9.336063399183587, 6.895930662335336, 8.766806169244846, 23.67422312500192, 2.906248122273997, 0.34975615673751204, -2.8599896080826097, 2.40004337533107, 13.682659372421629, 7.30762091276763, 2.2527348896560078, 11.217606007573112, 12.782239561659061, 22.002295997428266, 26.89114853474623, 23.70647608014412, 22.919223417659715, 17.536767443091648, 1.9227153113273658, 9.422927848916922, 5.139758728021107, 1.0179911192570046, 2.6838270143209932, 16.349069027126163, 6.1234888118169994, 25.605898749619, 12.565812094821771, 28.96497663870613, 8.343057805593368, 25.160402055924603, 25.34092044415109, 35.981607381001474, 14.436382775081148, 15.498171308145501, 28.54328579446951, 33.37983581142294, 32.04774136744625, 28.014651840416704, 44.57351035539935, 34.33451596646831, 15.264335842308476, 28.96363820979408, 21.452691824088298, 11.90530639781317, -6.83030368873618, 7.9429067816573555, -4.83081561450332, -5.652628448357536, -2.5293636222063514, 11.501350965686555, 3.476316432811406, -0.5274351250556917, -14.394994209821466, -19.200766001661435, -21.89306521939802, -1.7082796340006094, -12.15301851781903, -10.280611486097506, -15.912468515747703, -25.19284195696516, -6.522580505975679, 7.28266179173845, -3.8277694710062624, 10.703487538133874, -15.571972173025896, -7.155543895542191, 12.328074376249553, 12.068543963280147, -4.215513607090184, -0.009690749908588536, 22.219683152805906, 13.692431257004172, 10.811404927611898, 18.17860233284994, 15.138022867470553, 14.787539670751075, 25.45013333190756, 39.20933173496397, 36.036899754087344, 48.809552991271175, 34.095821335104844, 37.12582998585333, 28.42181330608445, 23.127952073846473, 23.57923091807627, 13.53647251953929, 8.794087112917882, -3.133074414351995, -11.67782309647959, -1.1684535820753688, 11.316191094037885, 17.60621146918524, 14.703820893063758, 22.856908135321582, 2.692003788866618, -0.348821335822604, -3.7688111080788484, -6.164684726252323, 5.495926454330534, 13.791749737777586, -17.974804589305492, -23.978269985640573, -22.641695196228323, 0.5996535167252297, 8.199666887309277, 6.818307015259983, -9.656260089182222, -10.064376345833988, -13.956276672822032, -10.508302924555812, -11.057776707117085, -1.433812437538304, 17.035962857098532, 12.376884250324167, 12.434705676660833, 7.047278280385266, 6.4332354424025535, 16.03606183987398, 14.222942990115724, 21.427196937082407, 21.725038653789976, 25.51000678370517, 8.092243896790588, -11.02167312236315, -7.443823374207708, -6.761163468517057, -22.087358841879272, -14.925089953820951, -21.530267608881694, -34.79413957295376, -20.81186369956547, -18.299205566145194, -21.68275414210737, -34.88877569120909, -12.577233588696673, 6.389914518168629, 19.85379077521698, 32.928312069838995, 18.92557066197138, 19.256926380378857, 0.9737626044869501, -3.305633794891422, 0.6919276499145943, 12.66046327508173, 16.04580785986862, 17.708525850075308, 20.65349255865079, 29.07690142674111, 37.65456522244031, 34.54648577349852, 38.571754994432595, 41.21277584712868, 27.40277547744486, 25.211070938924255, 8.81921827251387, 5.218858964465623, -16.50696780775178, -12.83314304752721, -16.89462108187319, -3.225505261463944, -9.300287976171793, -15.343575686577346, -23.505253021069706, -15.977175853181404, -28.768658838061192, -4.543202092656667, 7.07715548529088, 8.470956306547727, 8.121435915659594, 14.16510084543977, 21.926169547890318, 6.675084602914065, 16.6625599703481, 14.025020767421843, -0.5458969431468059, 10.005144990077959, 0.5409550133631473, 11.064406303737929, 13.59985941260678, 25.225360404748777, 25.892424748098115, 38.762523428792065, 30.58057399695779, 38.32776721813724, 24.7891755898514, -1.2486026328379687, 12.063133307324314, -2.281649902805629, -13.303518494062496, -16.543418346717033, -10.063797905018667, -10.77308225511937, -27.112834974599362, -21.921079752922257, -20.410459596759658, -20.8142933309315, -12.292661424366813, -4.055647921624147, -15.348605302267485, -2.6346760311032096, 0.8315375326435195, 27.288385091089815, 22.12085623373618, 10.687878622961875, 11.832704688749324, 15.491192978255718, 16.721570548665987, 6.316220425584076, 16.64699103041549, -8.854146289668046, -7.098961718013818, 24.060641758875597, 25.735453224475425, 25.126356773293985, 32.51277066343911, 28.592364238394982, 23.13649065641608, 25.183960175646554, 19.127922963626855, 16.774780931704925, 28.762596883896528, 19.072625605355928, 6.458207114723807, -9.92715973292195, -17.155701402298085, -23.698047308458523, -27.37485966943317, -19.292617749336337, -37.821263063906876, -29.98514459425148, -26.55025606208007, -12.174055836938507, -2.99509838245028, 0.6106674804823071, -6.959807030273117, 4.004585812623652, 2.1324922491556393, 8.376102185501082, -8.97706766050565, -2.6474197033600655, 7.452626959177961, -4.543902397340471, 4.750964775061659, -0.24220482130924292, 6.088014606079782, 20.31097448319026, 24.350021254240122, 18.59699572475146, 22.905727938813612, 20.16096232340976, 22.277558308749136, 34.980508847787135, 35.70234363574437, 33.140185069960395, 14.420128651181166, 23.17951457843538, 32.56759041772223, 28.131302670653746, 33.69269413695946, 31.51886893316282, 20.124895749576893, 8.604469886833638, 6.255346237210246, 8.058019227103582, 20.386536264777703, 3.974474341720466, 7.755290553470649, -5.239821965890079, -12.6142537434184, -2.403484131863049, 0.8461947867151058, 10.506481111622994, -1.830242525939715, 6.096525852423452, 17.37515533769064, -5.9383660350427885, -9.07380345275735, -18.916040357093383, -0.7776934352623268, -3.270427999223948, -8.086177845085398, -2.4779293124593584, 9.539819418723248, 4.683948656026635, -14.645009871157887, -12.510245802139845, -0.4484573306586199, -13.421427678177572, -6.1900331197556575, -1.897303034286348, -1.4566463721599023, -12.282915983033014, 12.665903391608474, 6.148690360619894, 11.16417703412153, 4.770132414897155, 26.91555087139587, 16.640036183350155, 18.415956856228767, 18.358052310944032, 13.054518868728138, 10.188484748402264, -0.24353221775464107, 4.1311785286702, 6.241061966860581, 0.5024520163971724, 8.479305832186817, 10.709323358422768, 11.833706537768109, 8.20679311584379, 2.71225849429031, 30.939141513962152, 21.01035205501294, 29.292479608807536, 31.923955647353083, 22.026512468300595, 3.8524503547203146, 4.6591363329817455, 0.4172118223511805, 19.25101839700827, 11.07907120002193, -2.9109508976282434, -3.910631253930399, 3.87303523926629, -0.03494685852958712, -9.699707698288101, -10.805474852488127, -5.128849960714847, 3.5533963791158403, -9.50415255198559, -8.759232110625948, -14.03234956499519, -20.97973997435978, -25.974120545314662, -32.06617340385653, -21.044906847222723, -20.127353158535147, -18.862320122258563, -13.774961175925315, -11.859046757419016, -14.298601130377445, -15.932253646285984, -10.472840426297136, -4.233867600715513, 8.9551238353028, 2.0143109745892236, 4.47856468160097, -3.5656704483719, -28.630274053154118, -15.836922773852809, 2.9426317326460243, 5.95683051627515, -4.183463712932917, 2.3452788732060266, 1.5308186406022815, -7.846851886968561, 5.449416209433324, 23.28533750626675, -1.731807946127379, 0.5292215225821588, -7.157439793980087, -28.72284172313585, -39.108554034288716, -36.59116925659795, -22.694099339959298, -29.69607749079264, -34.6224583800691, -38.34605046324534, -10.533262158012796, -22.255273194271858, -20.33058686626515, -17.793051931943292, -18.23387024344437, -19.5520247739996, -8.842119276366617, -33.09964083077281, -17.54975573176441, -12.680194217685715, -13.295245973435627, -0.7223646352985718, 7.796882611547884, 4.850094647234473, -2.763990808169912, -2.9945520472419473, 15.70838054704865, 11.739459142815127, 13.830713126530416, 3.8458996800208904, 0.8418276473776314, -21.798988696588857, -8.408091321312526, -8.562723171457234, -10.614883927508055, -0.07223722417806933, 16.50474756784989, 17.582952491831414, 30.50844353800106, 30.656730559516884, 32.19093404086311, 17.8031915249903, 24.263960040150685, 20.490927524657987, 13.725277319374957, 21.44187176554731, 3.9040169500193933, -6.693551796353953, -9.840726825692425, -21.090018703673124, -15.470396757324533, -22.860344039291412, -8.721893971873378, -20.36357338854858, -15.681466217522317, -6.235821317476583, 7.094565070840012, 3.7638530536074892, -1.1922018119527453, -0.4172810623028188, 6.712448346472202, -12.68623182535703, 1.6755184891075743, -1.2573119256364802, 0.4101534723530005, -12.917366832870007, -23.029271827149685, -8.679349306251268, -2.609254119102598, -10.430797933866543, -14.545525877031245, -0.9331441514003398, -10.689277772463916, -8.240886101328803, -12.668482845832745, -10.831356540728786, 5.306439935098169, -12.51611360454125, -14.939836743400843, -29.508699516735618, -12.57101553816734, -7.019743613531782, -1.6740057277849694, -16.305199814117564, -25.99670887626249, -35.20227583113636, -32.87561153073262, -22.53811787905554, -19.270319069069423, -8.112550594916756, 1.3569876002638637, 6.919359450933531, 7.288458858136654, -5.952448717734472, -7.664373372978145, -12.05005043663073, -10.998688237601836, -5.977549416659635, -23.161604486511777, -20.2276051014376, -16.06618101714981, 8.61420270460805, -0.3626432400624715, -1.5152193149928586, 14.009368356174491, -13.447338141439591, -21.239576386465806, -5.658313652521674, -17.932166938578142, -30.533457994229764, -16.1024254059721, -17.054189399557835, -27.236786337518417, -9.782223533962881, -9.314982913670725, 12.984919196122181, 6.735401871146111, 2.0269435116429526 ]
[ 1.2329516808129115, 0.602988421068753, 1.9698785422400786, 2.2171694571113862, 0.5121481428953316, 1.6691849452870986, 2.1115555167026, 1.6072928692940385, 1.3545493224975163, 1.0011977370268919, 0.606723575345803, -0.8114798404015784, -1.009077786454077, -1.7533819616211037, -0.5944267408367165, -0.9897058840799365, -3.4038395581216347, -3.7866646237338912, -2.6661181395511924, -2.978120675371205, -2.6418194039268332, -1.973296346339662, -1.6773656470123124, -1.6492717068410592, -1.3617144204458547, 0.3842447114545815, -0.6012341818269202, -0.3802222218217595, -1.036588278190137, -1.930205427215979, -1.4414118371508555, -1.4194876173066462, -0.7154767340859445, -0.639688450853198, -0.7945417680052655, -1.5841371704722118, -0.6703887814665184, -0.3475393259210168, 0.38558918215597954, 2.14947484799269, 0.9744558280821122, 1.1411830223375814, 1.1090675891433273, 2.1470376305384336, 1.906894604274905, 1.3100588517356904, 0.5101758313248821, 0.6297036742280842, 0.3645441601771259, 0.2642742790560304, 2.1366249249807634, 2.087839668350714, 3.061687222925913, 0.7300388506267468, 0.5479878197548983, 2.5483010847847707, 3.4512488128820036, 1.604191536418946, 2.065983574597813, 0.4043441804040786, 1.3359270593091979, 1.3688580259410912, 2.1301573214216036, 1.9913339620167183, 1.376575630680107, 0.7061020146775087, -0.10051727612285699, 0.8669416219975637, 0.9476212772870269, 1.6922511744499904, 0.523427966991783, 0.3399707524970657, 0.7915553568425646, -2.4278638793149008, -2.7285647785451834, -2.776785137855902, -2.4109443298497255, -3.415700990397993, -3.2288200984510027, -2.094336817731667, -2.104234030465566, -1.4629122526951068, 1.2894594652171516, 0.9943537583373318, 0.9044570394467956, 1.8223831357889129, -0.9429866298595124, -0.8204642791152074, 0.16831165965402106, -0.5304266059756848, 0.2616481973742999, 0.4917715749282141, -1.8043901479822737, -0.9441396511639453, -1.3215930804075806, 1.4355729920911997, 0.6571241877127993, 1.3131835518613277, 0.7536568356749835, -0.9322338382359833, 0.09831956810804054, -0.3587907117169936, -0.9554294662717864, -1.0125145727710594, -1.2747306073005689, -0.34728125919216546, -1.5956831015694934, -1.5835265188036116, -2.103600385415145, -0.9183872695051909, -1.6588690037487794, -3.5229728157236853, -1.349922731360193, -0.7278675017298364, -1.5812371738593827, -2.20772793956844, -1.4365914613587496, -1.1614194869489978, -0.721722327353453, -0.38793790443321047, -1.1765524267132519, -0.007319651519157477, -1.630162687747928, -1.008445755182012, -1.175411110554949, -2.0711807502634763, -2.6364570309035638, -1.6460917569540745, -1.5979972499397566, -1.3045201988898056, -1.7388819023492026, -1.2084987797679565, 0.36977885496438223, -0.3177603329535881, -1.4020293147199272, 0.5494088240051183, 1.082570087845652, 0.2968210064620549, 0.39229932186976524, 0.579653346873386, 0.23337089674596947, -0.06235300947491759, -0.7359785406298075, -0.9696270368459383, 0.729823725995969, 2.0939205638411758, 3.479347980963116, 4.948806689875487, 3.4492610601310774, 3.167390905128684, 3.5758930983154373, 3.2790226176464112, 2.32336155174735, -0.5955518891523046, -0.6498214468677219, -1.9399937125272433, -2.8779203101078523, -3.619424834993005, -4.299511675692955, -4.124929309117336, -2.349262553288655, -1.3091063077340217, -1.9298923914118702, -2.818220548499564, -3.7880144295341833, -2.246019979206675, -2.208263537132447, -2.366193847269977, -0.43213692899399136, -0.0008921271911271345, -0.5301497640854971, -1.8372163450166425, -1.5259491313906275, -2.77107580330983, -1.277329897973476, -3.0303016317157874, -1.2529997430030575, -1.5212534256070844, -2.7271357957074684, -3.0546361570076375, -2.6045996446405812, -0.9274237797465479, -1.7957159620512626, 0.6449147414814533, 0.8816977597688078, 1.503797984046741, 0.9865927964016203, 0.6286780059976153, 0.25509151772149447, -0.5147472625863057, 0.4081241405891442, 1.1126937446979805, 0.9497808568081421, 3.499635141343201, 2.649504790048562, 3.0582588515936404, 1.7537224715163853, -0.6530311245353861, 0.9521532380831523, 1.5341275967051555, 1.3111565445052553, 2.36518831937318, 2.0597313693834436, 2.207536153417681, 2.136288185297113, 2.6667554412418006, 1.8699636442039003, -0.3465203892141051, -0.9862801738591402, -1.4965452555901382, -3.213580673600128, -3.1125378560964427, -1.0291076612231782, -1.9125522755197437, -2.4845739518273837, -2.0648552106535325, -0.855374913406173, -1.6494350809251266, -1.09799764956118, -1.0728456031149325, 0.2959074526954917, 0.3822140552445249, 2.683943429429978, 2.887360767758647, 2.489388870633767, 0.8925752461797549, 0.8169022570903767, -0.2277812132006668, -0.7533847003729662, -0.49507251407182734, -0.5046677266631996, -0.7898826146359789, -1.3172102609004197, -1.3692957293761918, -0.6338155775691751, -0.8631726091345934, -0.9940069512937857, -0.09355341396198891, -0.15794272157608324, 0.3123691608869875, 0.5807309776486169, -0.031110823750148453, 0.27108839798428686, 2.2689750661248005, 1.0538417491561254, 0.4039217271186298, -0.3174380842464252, -0.6780582221020212, -0.21733753795263838, -1.3558573206357711, -1.8790737541963636, -1.4327174017830382, -0.9044178816898283, -1.1362247382199124, -1.7297575982057753, -1.9540668720464769, -1.2978239515991465, -2.2916816760902803, -1.575282424116931, -1.6863459131985354, -1.2700823836386752, -0.8288901986927526, -1.8334127758927041, -1.5064093015167253, -1.068443517197887, 0.6598251493014444, -0.10216920744588054, 0.3596371484138761, -0.871417473672085, -0.5202694321605407, -1.99635972286835, -2.1143849612656807, -1.4064303921641303, -2.2670549187176885, -1.3282818053201264, -0.6906660216251053, -1.2244221683550616, -0.24529861592212931, -1.6662599459558243, -1.8446962924678796, -2.143303601872338, -1.7427639457988906, -2.8750545260820344, -1.8586624608672713, -2.256190728095282, -2.767682894024379, -2.6917941991870444, -2.570506806802611, -1.1977471252538257, -2.754566457275863, -1.9662863774577055, -2.027699177524177, -0.09612856132681324, -0.5754262283936047, 0.5503591814413399, 0.14971167884095177, -1.1798899721296296, -2.3476784103179607, -0.8224776449128015, -0.8579009818194986, 0.20841152030271481, 1.0589448553937428, -0.28436029712191, 0.25944760594309746, -0.5887061858022451, 0.114879322713419, 0.6713061769251232, -1.0334338858786443, 0.5584022421849135, 0.12207883680270304, -0.40258663450837606, 0.9113890739853221, -1.9689785404489908, -3.660338702336814, -3.5800201894182835, -2.3430847112724633, -1.3203630019120338, -1.9833226326012978, -1.6525561050158974, -1.3359378100629016, 0.48378775935983365, 0.9922111074617836, 0.43841950314573813, -0.9514713927930084, -0.5177549324281503, -0.39040843463340985, -2.8210616322194086, -2.6480691218664703, -2.4072192184781214, -1.8372398777208603, -1.153965341023469, -1.416854826676428, -1.9649699028711767, -1.2631976890009609, -3.3346048189392272, -3.3441239189786973, -3.0964263180930103, -1.5693419939891626, -0.0037525925008621286, -2.0765670018843343, -1.233190457155179, -0.9610448812936074, -0.38247878963065496, 2.1728433382499563, 1.662934038039968, 1.590632345669938, 1.5154022845029962, 0.5925546698278606, 2.111831567013917, 1.4342742540695312, 1.1198170558318334, -0.07134371617653368, -2.3242145135722905, -0.5563499217531886, -0.6013180715246635, -0.5014894573607895, 0.32345883139658577, -0.9972894680989246, -0.9652789614022941, -0.5209308424767602, -1.3122906314767904, -1.3820061484008734, -0.7730049378190083, -0.8609393522371862, -1.8514379404396695, -1.3067422886846827, 0.20610311268584236, 0.8170374460177696, -1.504660792272431, -0.9908557185164002, 0.264686609973412, -0.18625517533940422, -0.2134856618061311, 1.5799502750282117, 0.9063999276661326, 0.7069486624061613, 1.6352488813179429, 1.836227908859301, 1.254576730687295, -0.23998906153841015, 0.13770626671111247, 1.5176151900158839, 2.0478938148312755, 0.4690959844926714, 0.4357689301734841, 1.0412046759888474, 1.609994768003228, 3.0610953859379064, 1.5775889646429921, 1.1202130482186792, 1.164625861639445, 0.3955823116014243, 0.05658738210012071, -0.7378946910888786, -0.4216313658940254, -1.0014917414444555, -0.5016446289488163, 0.4202592661691178, 1.5060883339901432, 0.0006309886799600317, 1.8903076616155834, 0.8635948159076644, 0.612467511330436, 0.16979405689722893, 0.79625958280941, -1.5973992736155087, -2.6754711999573244, -3.4595321278036417, -2.2860165527959415, -3.818853040692761, -0.8193191873497194, -0.3298389305895137, -1.3343155547493089, 0.008152356079927259, -0.48618017916221584, -2.240451351467143, 0.03911838547372537, -0.40367130629337417, 0.5042022111546673, 0.6780834155128641, 0.13200826293816337, -0.3398817283237887, 2.0347466049212324, 0.04396100114324475, 2.0121017173314035, 1.3256335128169499, 1.0962182825350428, 0.2569582147487879, 1.0775500313722504, 1.1592719591433978, -2.1759476349433244, -2.0793313216924356, -2.9782094702537947, -3.6778871365337613, -2.21500575323493, -2.6846995320804337, -1.335808896559549, -0.3244368567259932, 0.19713184487772045, -0.14098432024884344, 0.33468838322594185, -0.9349212818764426, -0.6375545895207759, -0.9787251182742118, -2.215200202940461, -1.3663935792611166, -1.387875912077448, -2.2130167877389324, -0.8453389203200473, -1.11626355809846, -1.0498179176541211, -1.453334921150223, 0.41621098536008594, 0.08516280715884345, 1.481003381566882, 0.45112767131825804, -0.042459391362872245, -0.4098309876932262, -0.7238836664088464, -0.7858440373997938, -2.130627972921685, -1.408316656048146, 0.5412798123027569, -0.1916372478639239, -0.36527727448073577, -0.5059520086939582, -0.7422411323020567, -0.10144799751836842, 0.14621868686942904, -2.3972034555005868, -4.855881195629929, -4.202773308924932, -2.835918724241695, -1.524761474732023, -2.147294535971666, -1.5929857711279234, 0.6268393862978532, -0.601424710076388, -1.672148241933205, -1.1773869740177143, -1.1282777090868936, -1.8851171867287717, -1.2720279400377497, -4.318251131294753, -2.921225196514485, -3.026190584381521, -3.2847926100606486, -3.4164978959560086, -3.392084715287767, -1.175704465107717, -0.8880622002923291, -1.1654873729100017, -0.37700720862624393, -0.6520738204837051, 0.15125305960193458, 0.5500813373608796, 0.17445701810255826, -1.7092397214536204, -3.0332746883260757, -1.5611639676630384, -2.5684472326744583, -1.874203959970282, -1.2297431751115373, 0.16640263233005692, -0.06674753275741713, 0.2850848883035296, 1.8414539567210388, 1.792382320659169, 2.6117902673500293, 3.1460193956799465, 1.7571328722624333, 2.2211252056769792, 3.445204133356212, 1.7951076856024895, 1.1470279556050733, -0.86822417371179, -1.5195818453048358, -0.4432558780907163, 0.29633490987282357, -0.3720797495219769, -0.2871954104770003, -0.6470287865174664, -1.0467761351321414, -0.20030544214974388, 0.42691088807034644, 1.1875134184339595, 1.0464546724517363, 0.23498723561469337, -0.2724428724095197, -0.21134574814607598, -2.1036790965843775, -1.570066087374643, -3.0570272836352386, -2.2998837422289697, -1.5749994069953346, -2.5494515121964128, -1.5814575650009128, -1.1854558634547814, -2.3711071804684742, -1.2563338648161928, -1.0598282953686582, -1.7753844991911072, 0.6733937541898403, 0.8049269536621286, 0.7424761048564136, 0.655716682895266, -0.4222088494697609, 0.7198516731629727, 1.8104901182250388, 2.005265779515388, 1.134744950693832, 2.3243810372682554, 2.4254517707933543, -0.48143052483522064, -0.8936226162236793, 0.3205437416464769, -0.9099441046449469, -0.2596090223306458, 0.1331181888195886, 0.4174435539021947, 1.9205640460225175, 1.9931127470338557, 2.06471179441011, 2.3564703966604745, 2.0890287080152383, 2.019967382218996, 2.613526397623038, 3.780042240674809, 1.7555854900589085, 2.0643464122853947, 3.0729861514342307, 1.8940960666120858, 1.5779516576771808, 0.9749427080512063, -0.35262331213674547, 0.1741598807092402, 0.7874502539102478, -0.43697089972295466, -1.1096029407965424, -0.23359832475158093, -2.2243958515336004, -0.2764032624918842, 0.4850970652241224, -0.3593346364331881, -0.9250607047080421, -0.3113163478511389, -1.2558923325511062, -2.0223844968218803, -1.7238599293763346, -2.5025329858837604, -1.4786896412658979, -1.0059900331095926, -0.9608643226860125, 0.7821668222533114, -1.0879369525480969, -1.2035567397556195, -2.6557990486100964, -3.0580100509885684, -1.9220081443531645, -1.3531975881710396, -0.8538710369373395, 0.5383441251586933, 0.873870952738691, 0.992393201104125, 0.3091448138493268, 0.028441545469512663, -1.9847291155563866, -3.7063071059101826, -3.525342755825678, -1.2664169192376349, -0.6594510383762019, -1.4892475409428196, -1.1872641387188263, 0.29338522242376197, -0.6334678075047095, -0.002935026085921222, 0.2764927417162077, 0.15869862669000465, -0.16210829195733883, 0.4626545174169605, 2.271908788551957, 1.4692050224023898, 1.0714446173228518, 0.764109606737401, 1.0863513694782154, 0.17600211624128348, -1.4277740842261841, -0.5484148771441668, -1.5770099514560312, -2.2157300232162696, -2.714664596557768, -3.1779475872987506, -2.7153841675373283, -1.1090527519948796, -1.32095263420845, 1.6875060497051562, 0.18026443988904228, -0.758168233993377, -0.31373871380244434, 0.25814671419607166, 0.1137076361592072, 2.1481721597268373, 1.5400672304096432, 1.9035563753744218, 2.3849281355057723, 1.0244406226409226, 0.7977996903960453, 0.8334653075672152, -0.3447008911282614, 0.38915492637818555, 0.19014645643176864, 1.5489296044696996, 0.9647702490174822, -0.31565015470557434, -0.9439533791101853, -0.413985503216887, 2.300314631268036, 2.3699545916343174, 2.7125367673880847, 1.331407089378701, -0.5399699171249297, 0.6133568680318826, 0.3580187388072265, 0.48811884566383296, -0.7160593722926614, -0.6457739205989728, -0.9199637602656665, 0.017161719026806743, 0.9719143836839867, -0.6672946474603193, -0.1658938095075801, 0.4750394438512976, -0.11001699316635188, -0.15560815785214524, 0.22180424974225926, 2.3576802619446715, 2.312422998717313, 0.8117790305592967, 0.23726975350518376, 1.4371283085345332, 1.588800741131712, 0.10447134094502708, 0.13020189103783264, 1.1361760623942767, 1.0841112089613065, 1.2414392515650858, 1.8440580908520856, 0.8304067067336237, -0.3734681588349247, -1.080206684030978, -1.275620229786631, -1.2847673848471801, -2.5283752871743728, -1.992118973270196, 0.05417383335948811, -0.03806544406079812, 0.14230986149693542, -1.0964732365658787, -0.14936008493581576, 0.12164285370687687, -0.2989400772008831, -1.9466145518420839, -1.8474358793108274, -0.9802349493231689, -1.5254734721332572, -0.42219315735512997, -1.4991392925060492, -0.7850270280166087, -1.287550463255363, -2.1087992778868045, -0.42035280731094016, -1.5575854549153931, -2.759643179679517, -2.126178513206452, -3.1731169371865313, -4.489642204931135, -4.551333557773444, -4.076158197830556, -0.3360994444779135, 0.6159086348324552, -0.6422063801295645, -2.5164333079123344, -2.1860152147798666, -1.896874033912083, -0.6318929587896188, -0.9657991106094859, -0.8541570558931676, -1.525528726763397, -1.6737207628127475, -2.3418422470874605, -0.5026608911340871, -1.5291688009251732, -2.7662761027098917, -2.441325644946224, -3.3059963797195575, -3.6833350708248407, -3.446344148984015, -2.5901681066386457, -1.7223787706707208, -1.702468048237006, -2.4352163630707606, -0.9376936821982631, -1.082680181637918, -1.148079848187778, 0.6321976583655292, 0.5443184451371371, 0.260749071137529, -0.010811853472676713, 0.8987196828811762, 0.8617112880634071, -0.4423507390124416, -0.49135318541730405, -0.8025515182159879, -0.6929779511845274, -0.8947499348618531, -0.750142847414986, -0.9067277721330287, 0.2877402074951826, 1.1926875266759782, 0.2963006211493271, -0.7272957505345526, 0.013491148738892345, 0.671100291957948, -0.0431338061892792, 1.3192427137504756, 2.702959127453758, 2.154422571411391, 3.5647808158224983, 3.211700330536537, 4.045790659042828, 4.809253997133983, 4.1515488000273795, 3.1634646074745323, 2.1670579147800497, 1.7081510297189362, 0.5745453521491943, -0.11698956715725067, 0.1696867900817286, 0.09944471796116261, -0.003412534081557575, -0.49157595387581904, 0.7863417555547974, 1.863042494187845, -0.03371752449135079, -1.6687892554930452, -2.6699379208170555, -2.095156364492741, -2.0024798050116512, -1.2730107356253375, -1.7707342149759657, -1.2670689672742783, -0.5305835370337901, -0.0010749438161014035, -0.6014444262768526, -0.5010710848898197, -1.2743466442455977, 0.11528314420965247, 0.6695110954297032, 1.478530021740338, 1.4953944043867073, 0.28250106335711833, 1.7697456239544154, 1.6198827754176948, 1.901250228207745, 2.21420513909918, 1.9604642078730001, 1.501536497293131, -0.8341028378947417, -1.3226890034492573, -2.232143896030448, -1.6539025685735256, 0.3320505473110047, -2.8021517270185505, -2.292518915455639, -3.4335888890268533, -4.34182490074927, -3.2899752305952554, -2.444310327482723, -3.3341504104749546, -3.3587296884798827, -2.9301374105692326, -1.5046362463968408, -1.285971031723366, 0.048032542272009815, -0.07902445511567155, 0.5672984637572993, -0.8056104681408748, 0.7662549723927499, -1.1796822044397186, -1.8354425383612414, 0.11287127108596673, 1.656468531014221, 2.431615934431642, 2.3673460029092612, 1.254767361440198, 1.309046800255539, 2.044193806647314, 1.7323734230749486, 1.4392311098522454, -0.5770770018289233, -2.158714570043608, -2.201693594341939, -2.1537153978191466, -2.3758931320562953, -1.152342098220318, 1.1680371458607492, -0.7295781869508197, 0.28619903620016585, 2.326198777821656, 1.7094212369177848, 0.9771860334171643, 0.05701493224046528, -0.19812056930525007, -0.5230658681585346, -0.7008325941206826, -0.6383467246867873, -1.6203181758643237, -2.2210280595994534, -1.4074815308099855, -1.5593648641166538, -0.1168055112488171, 2.1291227757631432, 1.8784088020088596, 1.9343594009148684, 1.6639858865548423, 1.1416551898732632, 0.5609973222901821, 0.3180260938264254, 0.01353802862636136, -0.7852985741438792, -1.3586347899841926, 1.0744820620746616, 2.4855931441946875, 1.136484710296144, 0.8904010881695129, -0.2409525592202254, 0.460942130328335, 2.193509069260383, 1.9658483965359341, 0.9744096673270819, 1.0905551164923049, -0.1349818979505315, -0.5708916570438449, 1.246234388955503, 0.6503994308611071, -0.5682625153691817, -0.21491651137886877, -1.709839468772978, -1.6921517260283239, 0.45027322676162806, 0.22710276586270664, -0.0031201304602174462, 0.8245705755769527, 0.15432191574069964, -0.41320712245773233, -1.6544370666744603, -0.6196380573391885, -0.6761015272907863, 0.46890127366492695, 2.45168051345628, 2.2912575319140362, 2.427012191399997, 1.927411008812109, 2.1988624393431793, 2.2611522763691996, 2.7173446404554458, 2.046473394770827, 1.7735328009948503, 0.7966279133687142, 0.7424150755194971, -0.11495812003771122, 1.1209816823343133, 0.7385103577085268, -1.004999698400416, 0.4468818912913438, -0.6372742308912775, -0.9688078665508613, -1.1090318469319982, -1.1656807703950394, -0.29155413147691134, -1.7717211702597626, -1.9741758095619257, -0.2103468632710992, 0.6861243885763357, 1.9409499022401604, 0.6721769219584464, 1.1196722813273414, -0.4416700751692223, -1.470239962622622, 0.09034503190925824, -0.03181827968416069, 0.21065464192993155, -0.9204227496220887, -0.4526800320642048, -1.7558654897537083, 0.07452403309001832, 0.2210882487965157, -1.7249306723072846, -0.8006977985271768, -1.0327542642937355, -0.4470967990829428, -2.363451420956397, -1.0401878489261607, -1.1768249463318203, -0.8838718227280565, 0.4295509918753343, -0.49147488675512374, 0.2901946663714206, 0.08496721328701667, 0.21074499038860395, 0.7361816278848613, -0.8565147467681101, 0.21231078617920474, -0.5692847813635206, -1.2819187942368022, -0.8004722302830007, -1.5711692649417488, -0.9164149713448797, -1.595970865581557, -1.42634177023935, -0.46820636785235836, 0.3072425432742039, -1.5438479940303023, -1.4170240933097518, -2.050170223504049, -0.04816212563838684, -1.3448015131988096, -0.3153820224800272, 0.8796561957894464, 0.10679931104998464, -0.012593707427470721, -0.8632364357818224, 0.002148444076366718, 0.7692285235896424, 1.9772052540148932, 2.602150606352456, -0.046630229201446216, 0.8839189419957417, -0.0757236288606501, -1.8889191084939356, -0.7891474230553446, -1.0509797030818662, 1.4859212871828866, 0.822636258144305, 0.5423077255323288, 1.7002186298671151, 1.6070017505072594, -0.043761177424549214, -0.421874525785804, -0.7710231118663453, -0.1305921558598342, -0.3365765729846315, 0.5042713610796548, -0.529093123186311, 0.42826152986900506, 0.8212820278230186, 0.5241803639676739, -0.41200273587231234, 0.5655612520154394, 0.7234482699951565, 0.25999092146466485, -0.2383907357663193, -0.2047003424976504, -0.4830491035804026, -1.2110581987595705, -3.0583833263613354, -3.919928378284614, -4.1888308509168946, -2.5358289365545845, -4.196835462943103, -3.8393741073857903, -3.4928896610050453, -3.1778190557558386, -2.9759851824920047, -4.579360143165394, -0.8883469717909458, 0.4923738671919917, -1.5667391979128527, -1.7919259948162334, -2.1936553538932255, -3.356674977776182, -1.8860543349028047, -0.33952417648753874, -0.8522541110213979 ]
61
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "AutoRegressive Process", "Variance" ]
The standard deviation of the noise component is related to the average distance between the data points and their past values. You should check the degree of variation of the time series over time. Which time series has a higher change in average?
Noise Understanding
Signal to Noise Ratio Understanding
445
null
Does time series 1 granger cause time series 2?
[ "Yes, time series 1 granger causes time series 2", "No, they are not granger causal", "No, time series 2 granger causes time series 1" ]
No, they are not granger causal
binary
[ -0.07643868149787067, -0.5131105901889692, -0.7110659273370525, -1.0510069138138287, -1.1624741048581007, -1.4111477408177366, -1.509412329973719, -1.7284091908804788, -1.5321370085225696, -1.443085746127582, -1.288941578075322, -1.2147878110682264, -1.084416317261414, -0.9766635274778837, -0.5877190213456058, -0.39260644167011954, -0.10801108950634261, -0.12344035475984991, -0.08928929805248449, -0.01502365794294238, 0.11859712200944872, 0.12632173080644188, -0.009323168300898578, -0.22836009665173257, -0.4728641976586106, -0.30736736150490984, -0.8953937153030095, -0.9340348079498866, -1.154773491388014, -1.4796393956387484, -1.7682941995250527, -1.966656554922373, -2.0661599475022627, -2.4003543646253673, -2.549529816398543, -2.535678583102045, -2.5345505029255193, 1.9875205823961932, 1.9745697636209298, 1.6013248241820124, 1.2738637824505037, 0.7011701500769852, 0.6361050710836564, 0.1939520706067973, 0.11095166789665187, -0.2648415012124634, -0.5520428086963429, -0.5777977825249598, -0.4182676187932366, -0.48705053173378704, -0.4789147102682797, -0.31339096403681527, -0.3196992674025809, -0.250670534410104, -0.14117443434632265, 0.22035321281684211, 0.19473852785622364, 0.178735024517186, 0.5239683328881101, 0.7011850011603608, 0.6731663681132835, 0.6317189759286925, 0.5415289646062877, 0.4178140389577173, 0.445826148901079, 0.24209169076493864, -0.12402220585933356, -0.398346387823528, -0.5019769481249927, -0.9800826460445896, -1.5539784688568097, -1.7165328757589942, -2.1116608442892537, 2.217174329798721, 2.3932030593759115, 2.333452743511431, 2.334746462594254, 1.9256615384469902, 1.8358673943105737, 1.7188414067081512, 1.508306509353019, 1.311225835480846, 0.9660734045390384, 0.9201053923203151, 0.5569939792200428, 0.27773758979596297, 0.27303020513785603, 0.10149554135844965, 0.10147129896131646, -0.04680198007184683, -0.13464408672205552, 0.03603432326204077, 0.0491638049243911, 0.24797747587361182, 0.2932008958424372, 0.684753354502015, 0.7556159820445303, 1.0587156319463191, 1.2258705290721643, 1.3195846175083332, 1.569778692349704, 1.645448178532741, 1.8496565354424723, 1.6887988194138959, 1.5598403949568052, 1.6125554603257526, 1.400028235581298, 1.1250884712478604, 0.8329673724531941, -0.28955947358821804, 0.17152298031053262, 0.4465106679617008, 0.44281510994610707, 0.8542494225038434, 1.0236373152622888, 1.1814137901299184, 1.3693061811209546, 1.330575860649823, 1.3093781692058386, 1.0871834681816162, 1.2632383327402408, 0.9203685912890192, 0.8154460325101367, 0.49526054723567725, 0.29834303196367845, -0.008163723946266549, 0.29285118044596736, 0.0070037858703308545, -0.01890359120181763, -0.08524011399755993, -0.17943261801830498, 0.07509178108988199, 0.07863741705114519, 0.10804347016425922, 0.4447715459923224, 0.6158731030781363, 0.7286229799878822, 1.12147878027697, 1.2738818830069114, 1.5169269330876034, 1.874417072140973, 1.9714161888734862, 2.420619557802722, 2.3924862311740744, 2.6232582166976486, -2.7334575545361157, -2.339205668520171, -2.101427852416469, -1.8017652360171912, -1.5859555818786737, -1.1095195379694291, -0.6835554935028063, -0.570091742087672, -0.4753058987589929, 0.012166549533365201, 0.40013251057425325, 0.28553478951499145, 0.4448215052413425, 0.6221042590310031, 0.49632313042440596, 0.3536353953211705, 0.34257609603849415, 0.10705331126450818, -0.05151317357677217, 0.004707301061017077, -0.202891952847088, -0.6335891555718423, -0.5602277821471944, -0.7208249105980087, -0.974297092669897, -0.8518147896791531, -0.829265168562932, -0.815174633748552, -0.5972708393551274, -0.41940627145707826, -0.316925121539143, -0.17165344354583614, 0.2518595905216285, 0.6134058521075991, 1.1085819824685017, 1.5252154919903094, -1.825651038695582, -1.9464057778557056, -2.0048632929473524, -2.1923576919503853, -2.2830198186182553, -1.9651119605399232, -1.8546943980760267, -1.540901830806214, -1.4376170837341462, -1.2845205164673223, -1.0859879190760366, -0.9939719828069455, -0.5505497495285422, -0.37738952086396044, -0.21633509668558326, 0.01873963566346276, -0.09866117324824195, -0.02379939574053927, -0.03973245559681825, -0.0455467071054807, -0.11970835051721877, -0.3406514619207599, -0.3344428172592065, -0.5765776076531359, -0.7644684107864675, -0.9531833523146651, -1.2770375072331943, -1.494737237400836, -1.6902940184543072, -1.809524371598079, -1.8411450729188559, -2.011890645490241, -1.8470623586249098, -1.8696143854636496, -1.4997397790045803, -1.5782222160956492, 1.078032892179605, 0.8663830137530765, 0.2103806319040433, 0.1437093024731133, -0.3413732776505724, -0.5016127870355771, -0.8492580017311855, -0.9201170682297162, -1.0330787738330398, -1.0052797827400954, -1.0570874421132037, -0.8464097017044859, -0.9744371766495031, -0.934851846022204, -0.5178851701842334, -0.46876827960501355, -0.36706661433332044, -0.37188636175745393, 0.10012826580101156, 0.1999685018749064, 0.06427969661423269, 0.4027113484638633, 0.14813077294494503, 0.0380462897191933, 0.12042502861836774, 0.03757314103508763, -0.09637222991590456, -0.3160615698589804, -0.5630874555343481, -1.0138536350752692, -1.3193864351855167, -1.4912735096656653, -1.8760249776275624, -2.209678758208542, -2.5169935883240875, -2.680893567298735, -2.5923458546063434, 2.6608843930585553, 2.4319450854533895, 2.1856556574124903, 1.792541900448518, 1.50897001564658, 1.2534752203635153, 1.0760372326979084, 0.6475978503226031, 0.3698871603379698, 0.07667810731441312, -0.08092028354515196, -0.10088317479630554, -0.5814576879325207, -0.35919543799378784, -0.3681051575758613, -0.39760981437720455, -0.18363633432139825, -0.05332775789272326, 0.08894060930292727, 0.27961451482951755, 0.34040415540494645, 0.6749460942222836, 0.9390006887160434, 0.8419994757189363, 0.9116746042516839, 0.9987832963894819, 1.0848148437570908, 1.0521520280589267, 1.0957651196696365, 0.8531555201494277, 0.44711789863241214, 0.14179600686565316, -0.02644032424691932, -0.526996699052287, -0.8325425492296324, -1.2059303287680505, 1.4027283207865249, 1.591814973980983, 1.787583323924773, 1.7072362322231462, 1.9018208604798224, 1.7129818120082017, 1.6326196925260463, 1.6088259516136008, 1.588991868233591, 0.9853035775020808, 1.175149172445154, 0.6499478294872278, 0.6349102300805229, 0.5557421728142369, 0.2326568604166073, 0.14745276115162287, 0.06796033586744195, 0.1226312046257557, -0.08489635955282501, 0.07013317216221424, 0.06684908014245497, 0.2730686639811497, 0.3488124169687791, 0.5726971468267468, 0.9058536261527143, 0.9942950225517038, 1.061665871000307, 1.4154506549530141, 1.5015778488125522, 1.7796847309867323, 2.1592127622073476, 2.1165901495424686, 2.1912484106363985, 2.1600889467943967, 1.9885959567891296, 1.9485992458661066, -1.368181040592584, -0.9965695282562637, -0.6519300788126577, -0.1870300143387154, 0.13316097811087912, 0.40474295624486023, 0.37114614686104536, 0.6010754111699907, 0.7988488576194943, 0.8476372905606702, 0.8682113868057941, 0.7676304062374607, 0.8337929229641943, 0.6113801673812589, 0.5691426547043751, 0.5498644564128119, 0.2864020466264716, 0.07393027910197253, -0.2369898125139273, -0.06099002678146245, -0.23376121717316567, -0.4156994280537092, -0.4486464773980391, -0.2620409566182208, -0.30385785601058535, -0.24654119176778244, -0.005425001431208741, 0.5606585960365216, 0.3972199516367753, 0.6429554765658361, 1.099225494073935, 1.4697320923696129, 1.7680956328989714, 2.2141116001613383, 2.431302950487103, 2.6511077367007125, -2.8302012736960833, -2.487448601572207, -2.5891552407304084, -2.2176303025459316, -1.885419686767779, -1.6748177905701351, -1.3484713627502507, -0.950483989087068, -0.8003061457936371, -0.4144742428619786, -0.30465503352656964, -0.13347422071542614, -0.018105931918868834, 0.1882841161995564, 0.043692276062910734, 0.1219077600181418, 0.051925024579467904, -0.01144102928211746, -0.038011984013485045, -0.29825686990942557, -0.6576029770709133, -0.3667823461152271, -0.7466672691574403, -0.9251064221987777, -0.8275183855542021, -1.156318313519079, -1.338949803871517, -1.2136583634815525, -1.2117221814166619, -1.3630845291581102, -1.058688341829233, -0.979311450169639, -0.6243863167432613, -0.44326459920699995, 0.13267268971203505, 0.4588574461009428, -0.8156323400126078, -1.2108230029486182, -1.3584324034263944, -1.2949467651899413, -1.7131635964096172, -1.6859590753284917, -1.7298677592092477, -1.6110192958860465, -1.6446102467541275, -1.3755116074571163, -1.0964446642025372, -1.1356472946460514, -0.7764127873299725, -0.5562114395410866, -0.48165181718021616, -0.24037558726720076, -0.3291487425694706, -0.2843054865281913, 0.009419206050929121, -0.08303969945441095, -0.005229225415336927, -0.2831161849719404, -0.25802842274388343, -0.4646354990841036, -0.5846213557151132, -0.8997131850821978, -1.0739086488238971, -1.2199483242122873, -1.4878780212035598, -1.6447928509579253, -1.8049295060107249, -2.119545209363323, -2.044076619360582, -2.400193831312913, -2.3988235281930903, -2.335326828269366, 2.158823539848455, 1.678482921204452, 1.4010966370045557, 0.9303001591771994, 0.6084003820052701, 0.2187928979939415, -0.0031616649098418874, -0.31310722038031386, -0.4640548639676365, -0.619195066422694, -0.7114268914053352, -0.6271720376399715, -0.8785707171243291, -0.734642732078776, -0.5040181169503893, -0.3346792958755356, -0.24516837774929984, -0.14361000485474626, 0.015460217716586833, 0.1333723587899804, 0.3609102007462308, 0.19631348690168246, 0.44993844869948574, 0.5163862700580829, 0.6150444170700629, 0.422433284203846, 0.4624720218770053, 0.1086110274149372, 0.01993534215328268, -0.11808791913619215, -0.48843235405243707, -0.9225421026790916, -1.1673694360269926, -1.5748993078181965, -1.9629772590421786, -2.3786047805219694, 2.5654115580715993, 2.6774068950577683, 2.496747210755104, 2.3099057466604074, 2.185677377594807, 2.1315168011199237, 1.6928588556851885, 1.445134328599776, 1.1717145646420841, 0.9055810759226862, 0.8167017969147674, 0.49065937252792163, 0.12153788174688537, 0.31496558058037505, 0.13618702338642857, -0.08698681567806035, -0.12969171262200332, 0.0788220208582085, 0.004436570269168572, 0.07564267631889643, 0.25233114695292075, 0.3794353469202694, 0.6911171426211292, 0.6697516324239523, 0.8393835745823441, 1.1193227027751422, 1.3311942898272298, 1.4898724014755558, 1.4952930882157334, 1.4128562508537232, 1.4654927391101766, 1.366670109783345, 1.1275772561525095, 0.9130154962431327, 0.7885069514812983, 0.3295992950901982, 0.17769052922183748, 0.39199719537114003, 0.763839907178749, 0.927353880827489, 1.0984705056601385, 1.4308373084234132, 1.3112248385008414, 1.6250176060894364, 1.3131468201323868, 1.4035954214484008, 1.2338035492509836, 1.1502317590703384, 1.0201126703689998, 0.7124701630792823, 0.6788226811146699, 0.4234487448312657, 0.5026250896244763, 0.18538221062497406, 0.2339505725351071, 0.017710952323014076, -0.09414465549593865, -0.2882848181367608, 0.022298891875499945, 0.12667817228548134, 0.2134238477637359, 0.48543224938116, 0.7422083936807932, 0.9206433998785476, 1.1221066914112503, 1.5182896767856842, 1.7741722944166627, 2.0817271458720925, 2.0675466283370616, 2.444256797686089, 2.372422919821615, 2.472799337529112, 2.508966291932185, -2.274071243317704, -1.9718520369048362, -1.5526332524741988, -1.2548436100854046, -1.0559864865026511, -0.6273291908346745, -0.17654607817217688, 0.055439129161872595, 0.2828262726909063, 0.47536194974158313, 0.567219916306711, 0.4648043219336317, 0.6237959701846947, 0.623218367986332, 0.46845236321250144, 0.21884047137322216, 0.07988085824142199, 0.04709813800625973, 0.011247732493919957, -0.302899203698082, -0.5151947688411296, -0.4436157143522829, -0.4467962609391388, -0.6097952047263551, -0.5708771211705195, -0.7118304514260352, -0.5212734591008167, -0.32118844839952226, -0.17873760511063996, 0.05676439925452607, 0.27247608948208335, 0.5973515171490884, 0.843449559179873, 1.3409067714029712, 1.5954586830732516, 2.11610352027298, -2.4229149698045864, -2.2520177936374077, -2.420841048934865, -2.169110341487261, -2.0934043041021555, -1.8085371903089176, -1.6962295026812602, -1.5629131194631172, -1.4007004710760027, -1.0390922471202755, -0.741235988903306, -0.405653318541784, -0.45899110465413145, -0.16932573159148134, -0.05168165441771974, -0.3485764927158433, 0.08862482719480079, -0.07340996671013462, -0.10609114751112154, -0.20494689531762217, -0.3084375642081462, -0.43716589210208145, -0.6592837452403899, -0.766213619682392, -0.9572103677316275, -1.2285216228280476, -1.2489558155456568, -1.5152263980890237, -1.6634852052943245, -1.8810949360474427, -1.7480602349064382, -1.6561063941831355, -1.4892019756467656, -1.2402714484038186, -1.0215758073757868, -0.6677306672760921, 0.07472611913771898, 0.08517871385241552, -0.5217870562372139, -0.5713125596654721, -1.0866375265921193, -1.0123241358931212, -1.315480571148597, -1.004192569933622, -1.3523424750943938, -1.27885141559887, -1.2093115952438878, -0.990180447249757, -1.1276014823717286, -0.6340378282581871, -0.6192985176144559, -0.42649657761118687, -0.2098646806241459, -0.1847066123950844, 0.10715841889304596, 0.046597596493431634, 0.12154584307886257, 0.09174643068812383, 0.018979794982478204, -0.09639054859184534, 0.08420960331382404, -0.4996381469539506, -0.5892591933334643, -0.8213470632981819, -0.9735056846926895, -1.1402563386888094, -1.4490965656410244, -1.9126605339021874, -2.2280284473614813, -2.3294363445091277, -2.637451889846616, -2.795906845348912, 2.596621779840636, 2.3941239897196893, 2.1703650711470863, 1.7088204062821721, 1.3758456035405144, 1.164764010126708, 0.7985676204006864, 0.4811591052264608, 0.24118713703064187, -0.0785045269266876, -0.1975407557566114, -0.22405820347819716, -0.4650525658981456, -0.4559894697258686, -0.4380714060095025, -0.3286176005491147, -0.1680816681507147, -0.18385786274476806, 0.008955362927531414, 0.18013611911502284, 0.46633381653712636, 0.27535962073852277, 0.7974528137229338, 0.8181201304109343, 0.7519588690664907, 0.7454843494226456, 0.8066547973414253, 0.7849643035240971, 0.5883146847769614, 0.6930504616494386, 0.42558612995553813, -0.02194615932908569, -0.47720687554643876, -0.7608331706632723, -1.1224328006081161, -1.7092873664839403, 1.755766083393711, 2.048521105538563, 2.1653627622951612, 2.1839501623811985, 2.190165809403379, 2.083066453811344, 2.0141192368477263, 1.7574381747907635, 1.426416049620574, 1.1890756110105523, 1.1265281976574102, 0.6424313983660488, 0.5247463486905033, 0.28782258846910586, 0.07714085460038869, 0.05602060746150282, 0.11542059639215392, 0.14700757305680234, 0.07210227928364402, -0.01284853935490348, 0.1421781469641876, 0.22628206770473178, 0.31737683327706595, 0.6404016751279903, 0.9389524701108283, 1.064934878209735, 1.1960082816978628, 1.534196114100194, 1.4750467478768339, 1.6068757292705333, 1.885584630218237, 1.7455624491345587, 1.8821695528011608, 1.8199457990148604, 1.7168932521890463, 1.4782808571151418, 1.022925028434296, -0.6654548289933352, -0.40234745733458527, 0.07268898060571904, 0.19953178685478878, 0.6026514543084273, 0.8332659181319172, 0.9853748381002712, 1.1263460433400894, 1.0763616124671123, 1.0080003043896892, 1.0364142690847602, 0.7756803905114023, 0.8225180407104835, 0.6791634004568264, 0.5921914593182831, 0.5411845128756966, 0.1410048557204979, 0.06473068624933866, -0.0074645034196117455, 0.1632310639432723, -0.23183425735925622, -0.3314126701335756, -0.2910378032068469, -0.03730372245155186, 0.0286313744545002, 0.11417325302172412, 0.6340916454824997, 0.6517610437574173, 0.9914807581123084, 1.3269173688745126, 1.5968865763162845, 1.7817432992084803, 2.084549686432922, 2.4527969406683185, 2.730467060519708, 2.825170230602425, -2.7206136127135583, -2.4164948318464305, -2.2073921991499876, -1.8887192453824009, -1.7300688276253002, -1.2411609480295833, -1.1082349737561434, -0.43169548606656527, -0.3393078340178284, -0.09474356159739807, 0.07516968489793587, 0.18896766739007043, 0.35201069084886094, 0.3250589549290702, 0.29128871149970004, 0.3520551129754078, 0.12626396662921066, 0.06795032934660977, -0.009168325442846001, -0.2092327059049073, -0.40628443811721576, -0.7158470478541444, -0.6702012083750494, -1.0155806029418106, -0.8319220905327437, -1.0523396917053887, -0.9955041595021025, -1.0111143252722379, -0.8342994309363939, -0.8415375134116695, -0.5583488027067751, -0.2671533048597502, 0.12345041156378851, 0.34931561571433456, 0.6089096068573943, 1.1760754180920547, -1.5322966438843746, -1.5874026637953538, -1.8283661138087306, -1.897056003919519, -1.8082285503883448, -1.847728958157526, -1.9682519391476145, -1.5844171027486258, -1.5896498632456475, -1.2538550058606786, -0.9804951822462699, -0.9563933803399994, -0.6448407128066844, -0.5154750028714051, -0.23069772970964977, -0.039562442852929924, -0.09721509855504812, -0.17408486941450713, -0.017053877981331365, 0.10858085037741107, -0.21559794543055957, -0.34694422817928555, -0.3428660414474182, -0.7433736313905998, -0.7770005025047083, -1.1083792030947113, -1.2829553310384088, -1.5686909738103019, -1.6451102821842114, -1.7997973986814126, -1.9033664007066722, -1.9165635049343654, -2.1542354199870384, -1.8851910025162706, -1.9077170214245578, -1.8524556921956663, 1.4603283196410324, 0.9907377826405166, 0.5171562256683397, 0.16723714375870746, 0.04462532320764573, -0.28852631670379525, -0.4690419379847719, -0.5796810537781207, -1.040611724483581, -0.8058422641778316, -0.7145479408190548, -0.8780782739634029, -0.8605893470395607, -0.7200531529968405, -0.46316347147441095, -0.46823350825082016, -0.4163694677189894, -0.1480463274991726, 0.12279833053440473, 0.3200328525302426, 0.28930503504665356, 0.5409240817042322, 0.4674408185683266, 0.43828357450820277, 0.37124304689485754, 0.16182712476346953, -0.05137630656609053, -0.1813587432516261, -0.49269653579758005, -0.7518638157696416, -1.0743512707697371, -1.4064731587100063, -1.6476180311042528, -1.9931555722439018, -2.2603016680527306, -2.675172974779326, 2.6068980190901696, 2.4846512681957162, 2.5039741544693905, 2.383074834837139, 1.9774950747340017, 1.565804408374928, 1.2980552253594888, 1.0452856027063557, 0.8752036261382882, 0.45276435228352707, 0.11570854576774162, -0.013667091260339298, -0.274266847597099, -0.17346373405657256, -0.17372025478163136, -0.2715778573011826, -0.28967529539877346, -0.04427487305280234, 0.007798327051049464, 0.1600964601784459, 0.18226947578756245, 0.3339477886716288, 0.705352345550106, 0.8233001431881748, 0.9126285743074015, 1.2128209734500492, 1.2792079767339015, 1.3279141419904996, 1.2176848130051616, 1.2300617926891553, 1.03732057418787, 0.9051879923580222, 0.6352035308472976, 0.3637535055440971, -0.028314608766714447, -0.4740587736507502, 0.8369806954566984, 1.0931247178956893, 1.4586592311471163, 1.5347652400156058, 1.5760273902108997, 1.6946969780882544, 1.8786849019482847, 1.6209201667139865, 1.5292616885212658, 1.276150395904488, 1.207883881304161, 1.1082185524783876, 1.0342527722932011, 0.6160101070161862, 0.42194412936845926, 0.441150982393538, 0.13294816103475568, -0.01820899384864711, 0.16966544772471312, 0.12672365078468192, -0.07443048405302204, 0.015511077319451352, 0.046257062524237724, 0.36699325899396557, 0.3922440462450584, 0.8285798144246703, 1.0498977994551528, 1.1149600367420858, 1.4590493830251547, 1.8027058588962297, 1.8842507611378794, 2.140996646283316, 2.3216279065194785, 2.313056366634652, 2.361048958014795, 2.1400582157245878, -2.0439720200312426, -1.7371794049535194, -1.2976604424821425, -0.8653081469526596, -0.7239163635510208, -0.3336799729617222, -0.017964193814507624, 0.2320035936296831, 0.42986802712453653, 0.48795918419096695, 0.819611223382244, 0.7346667901022519, 0.6539161403501269, 0.7485945347481642, 0.5321870544274133, 0.5429189051377031, 0.3713724251306886, 0.00892362201272165, 0.07670423182281251, -0.15793161971496175, -0.3229150584677024, -0.4773360382434554, -0.4690746916273449, -0.4470966716462666, -0.4627395213750369, -0.4420958774997954, -0.15981076134032338, -0.04488104349011547, 0.05495806960387547, 0.31113178975327027, 0.7965530129826554, 0.9424175622858371, 1.2941867793228963, 1.752857698089594, 1.8969200076427286, 2.2251202865485347, 2.5263698731545183, -2.5376382920671885, -2.5613469069834833, -2.564971060938609, -2.199888108840909, -1.8738896501431106, -1.8766478444227614, -1.353987473757226, -1.2476501471445922, -0.8689408064811353, -0.7248282679874612, -0.3713448985409178, -0.38872249047416596, -0.0650694314375961, 0.1546171531607443, 0.085223170587189, 0.2457964740441942, 0.09088361459812835, -0.003885918689277474, -0.06677591773399147, -0.12092712490490438, -0.21508261537194304, -0.5031406442154045, -0.6435251740722117, -0.8583779118664926, -1.042041676442607, -1.1020274405134531, -1.2451390831021445, -1.3343065325769032, -1.3636474321317182, -1.417334415269864, -1.1623432077801863, -1.402580012351835, -0.657006887201661, -0.6387929094564805, -0.436596974608339, 0.18536003534856826, -0.5530331457941093, -0.8444054210880304, -1.0710006172967266, -1.1586707670417193, -1.4204877196073327, -1.400426496419714, -1.4938555724696836, -1.5385208475145957, -1.509257689810605, -1.1800087428784638, -1.3526573317395543 ]
[ 0.08582991797805492, 0.15826551041371878, 0.1974888293304291, 0.25004686539451854, 0.25948328162697043, 0.2177863703644961, 0.14692343506777109, 0.13898090162508517, 0.262172666510205, 0.2664370903627222, 0.2645292309152319, 0.24843007794722127, 0.22783824589169685, 0.35925956340430903, 0.3264884808577881, 0.2906687393527696, 0.22297065542752273, 0.3184192621865934, 0.37290233574207304, 0.35212842399674416, 0.4571592367896951, 0.5303287386526803, 0.38162404843029946, 0.3752470262613147, 0.4260510966247726, 0.42218553399604897, 0.4236832820451189, 0.4740992773070703, 0.3775147708066295, 0.44843935790773737, 0.5044237769910976, 0.493344666946803, 0.5234763847103355, 0.5642606714337667, 0.6035225704226442, 0.543558183953275, 0.5061515239046016, 0.5757745544984173, 0.47509928101887694, 0.4816576303591365, 0.45417269033341207, 0.44401184685803546, 0.3264191438552244, 0.30048372724542755, 0.32617791195032303, 0.23626590846783505, 0.1773309741001568, 0.19986761820738363, 0.08791293875788002, 0.02166776786175026, -0.005420092295355752, -0.02961393653064679, -0.013287934110249727, -0.0600160006384116, -0.08534015671508684, -0.013843737018825882, -0.1637778381493964, 0.0018569795241296578, 0.08388679880391359, 0.06606316118776609, 0.03873575159103217, -0.051995791935584686, -0.029377252458288476, -0.01843925667655317, 0.02148921988503728, 0.024798655837064473, 0.0822768155340747, 0.08338074221908473, 0.0037153937939284586, 0.07756825783002445, -0.08462512163569143, -0.20275980397597573, -0.12410394891251136, -0.07143146481226603, -0.13036303591111692, -0.11217933329160654, -0.004894018201541164, 0.1745916879025528, 0.2241558728611989, 0.2652137954630389, 0.2078619122408795, 0.3014383093588533, 0.21381891406098338, 0.1575338198820848, 0.04529560682323809, 0.08497696369336881, 0.16121310682210302, 0.08460172840432492, 0.13845237564637067, 0.21033000458878692, 0.24031664975515657, 0.1688499924265399, 0.24541518391384864, 0.05869437690531043, -0.040613447956679836, -0.020486023646698274, 0.04325671176280738, 0.1598216418446048, 0.2761956975016534, 0.36434627153098786, 0.2989194931261343, 0.4093665094020311, 0.3919457672172698, 0.397425939784489, 0.30716589820873785, 0.18627742985972584, 0.20972713897396775, 0.1422628406099639, 0.2296439932770838, 0.253077968064812, 0.22088189936825406, 0.16379225252271093, 0.17497816368633215, 0.204509924234669, 0.23098050749556687, 0.1906140439155664, 0.28646873949226653, 0.20444165009195703, 0.25673604575901676, 0.3277674952589626, 0.3950495005556826, 0.42943461400520155, 0.4280437201273568, 0.6100731131704382, 0.7600365262717409, 0.716188972083703, 0.67819599228328, 0.7545259454881323, 0.7973026166719793, 0.7764944105801189, 0.7573455619366972, 0.8597727153378993, 0.8516189967683975, 1.0959199299734543, 1.1049634025738981, 1.0065271820036514, 0.9972625430941396, 0.8660614384957643, 0.8260488533045479, 0.611340276722313, 0.6054942566880024, 0.6306395057550696, 0.5012324983999956, 0.4183832091631329, 0.45674620001155225, 0.31713637256549976, 0.28191935342240326, 0.2794660092486003, 0.3876671962911755, 0.3818047034124545, 0.3521861394069046, 0.24175979470904108, 0.2707387531088561, 0.3142321717013476, 0.26882111997422764, 0.34059767331890645, 0.3563592744015426, 0.20699576108246512, 0.2388892395328206, 0.2970815391897291, 0.08108678436978359, 0.14392468834359898, 0.00644917381124961, 0.22884084435915006, 0.22629887043719596, 0.20032954579059012, 0.034642900091896425, 0.019350398861078453, 0.041630463976956626, -0.02333593637731639, 0.0015346564336900642, -0.21540962576025494, -0.037008271822529214, 0.030139126748738344, 0.004441395856469707, 0.06038394039695551, 0.043838483410329386, 0.03528711176613153, -0.11154664338378818, -0.005678588093244747, -0.028771334277510018, -0.003210387711176078, -0.012766748843836101, -0.017495461142602704, -0.11403841663032079, -0.03591428300186442, 0.07223353061898384, -0.01446869167887748, -0.15182081203505163, -0.15330584698257924, -0.22053721567342288, -0.08614769348260633, 0.008871246086172358, -0.09155774799954051, -0.23097613985666496, -0.25133543113476153, -0.38622590086152214, -0.32276895204872746, -0.3971737235940129, -0.30346240684564885, -0.4789956780008118, -0.4471169077089956, -0.5858920414641035, -0.8400665217415236, -0.8496073401625016, -0.6148125099252574, -0.6433043201637086, -0.7504494398723062, -0.5078850855485116, -0.36684786798844643, -0.46848086280756485, -0.5322640725294638, -0.5333026859411132, -0.5168644317400812, -0.5185552529588281, -0.5958040494099265, -0.7500341122989188, -0.6317304344124708, -0.638635172613478, -0.529788060551641, -0.4209047025554652, -0.41448670241111485, -0.5383837856245628, -0.70680022501321, -0.6194126986532974, -0.6319540680993928, -0.7044297545390903, -0.5569385931455946, -0.563216299667492, -0.6452241366388949, -0.7486943654881351, -0.845467878231277, -0.8706554193055667, -0.7709787585446427, -0.8393953971810789, -1.013410647219312, -1.1032921279489392, -1.325782297675397, -1.3356515474827688, -1.2340747697583347, -1.2345675711173147, -1.251989213209193, -1.291810529581796, -1.217902289195406, -1.3403891100557193, -1.3391938372001428, -1.4566050225207576, -1.6073157328481602, -1.6561466200677826, -1.5077157102673537, -1.6054183903355623, -1.6351153923824975, -1.8415967815771381, -1.8844143332295331, -1.91052602862441, -1.9739329658777203, -1.9363140562896675, -2.059550655723161, -1.9052284600305267, -1.976557665562711, -2.0068691653986344, -1.9367260369370372, -1.9463174257594376, -2.0912086456703363, -2.1592499869535047, -2.1439011745855634, -1.9741586658282326, -2.0398000795642917, -1.9405513698914594, -1.861920774078618, -2.1178209524170613, -1.9756237427923158, -2.0514032349267546, -2.2818781253542366, -2.3361986678209674, -2.259693996360892, -2.2155388979119546, -2.3123373228057007, -2.197784006601864, -2.2349205916644688, -2.2599015050619236, -1.9254216664473576, -1.9161845613289832, -1.7671780301657616, -1.8099614243945377, -1.7279903223744792, -1.8115343143717753, -1.7793134913047888, -1.7349115204334586, -1.6335815126059652, -1.5653765037898573, -1.6142527249494563, -1.5519315086556076, -1.5557327898601105, -1.5899606882475343, -1.555200005744018, -1.6592456222939547, -1.6225680436078591, -1.5135027599481021, -1.6104621258034533, -1.324754313676865, -1.4856123705201003, -1.4999200992106105, -1.3021032250569962, -1.3356575440396865, -1.1328078573836344, -1.3758844308948168, -1.2874686742134236, -1.5061728930295466, -1.2288375516838195, -1.1927219232073158, -0.859334191773741, -0.8970091616334096, -0.9968999216121671, -1.1138955798652974, -1.2925420278702742, -1.2869805665044236, -1.4820258102064314, -1.4168210279231959, -1.40820222873399, -1.4454156764641457, -1.251075849425191, -0.9722596768035372, -0.9933793063569634, -0.9664669257481271, -1.0500623162221874, -1.0566111881825921, -1.0079000857375868, -0.956508291509069, -0.7409434865123782, -0.7043618855294196, -0.7252681802149834, -0.6353482648643496, -0.8241846496953837, -0.7662088222559629, -1.0167524466886317, -1.1307038407224164, -1.0393276294048923, -1.2581321760862267, -1.2564680181332655, -1.559222052295104, -1.4909583959800132, -1.5161686407410635, -1.499922965544014, -1.468352515656195, -1.5502889427447408, -1.5909067967284665, -1.4706998128845, -1.642198464934853, -1.6903517308669254, -1.5901681922997835, -1.5912047464900805, -1.692631525182241, -2.0348243493466835, -2.3241169631296716, -2.2261230571938677, -2.4375263184386085, -2.511364182748336, -2.464393813596918, -2.410575065714112, -2.4570641001404065, -2.568835444271821, -2.6648901649243117, -2.5972716280856454, -2.740713263124225, -2.830989062933333, -2.758072440728872, -2.840770165590422, -2.7100949730404014, -2.763967786153666, -2.686711415039281, -2.7847475735254057, -3.0448163221273448, -3.2801440121232015, -3.3356811404934508, -3.252822949152662, -3.0649830234018656, -3.0203133903442376, -3.2584472750032916, -3.165171633577835, -3.3800960525643484, -3.7347664237313505, -3.650564986132808, -3.528922383205216, -3.5919702751786926, -3.574410349781896, -3.751920212761609, -3.504231350015939, -3.422585099934996, -3.242887550710309, -3.274273721564373, -3.427185113996308, -3.587742563994393, -3.5918499355752505, -3.6883118062609084, -3.9572299070607997, -3.9364722551853046, -4.216436872568626, -4.556586131293047, -4.195620289811505, -4.1976004293190226, -4.59934030427729, -4.654382977541876, -4.718693598248585, -4.869754688664549, -5.061384353259688, -4.908289984934004, -4.940804914875775, -4.948204836235269, -4.948350618647853, -4.811787463426014, -4.457254058495903, -4.414954699482558, -4.496445897832512, -4.574426072487957, -4.670499203798682, -4.681933900930135, -4.675086116684064, -4.896693079335412, -5.08112192923178, -4.948638983023792, -5.206053276382258, -5.399918103852469, -5.639815272704893, -5.858011206135936, -6.04265351286397, -6.11568316311771, -6.165905189060604, -6.137753912942928, -6.480961567488066, -6.682480206667897, -6.348432581607266, -6.318842330018274, -6.394795841493901, -6.264120964888765, -6.573360951363664, -6.645325834456804, -6.572393203346714, -6.595323065256295, -6.497819496877121, -6.793616005076011, -6.705867975863485, -6.521502165041968, -6.502903023577346, -6.63703030741344, -6.3182247941275405, -6.381968339635794, -6.294898799642822, -6.12249959603973, -6.012680630803342, -6.300693985656088, -6.212536966566555, -6.306453335514305, -6.396297669994756, -6.401151214613143, -6.240772369437137, -5.9396244559483184, -5.945080245028262, -6.032198919440699, -6.052556837587109, -5.967099179329081, -5.8898662805659345, -5.583130045075568, -5.381331819046753, -5.2771642829757734, -5.002730328196633, -5.2389236479176144, -4.782778217592242, -4.879205309744423, -4.687875161874626, -4.642663357640129, -4.573872697662788, -4.438822097326477, -4.282468707431199, -4.491838012027942, -4.231364432608674, -4.525845025425278, -4.539772920791104, -4.84734025726105, -5.345484493219986, -5.432791257425083, -5.8702434760653555, -5.653351571624025, -5.418308850239219, -5.229495874544439, -5.040519223318401, -5.0345247954230175, -5.084596807375436, -5.099619945864652, -4.785106182977365, -4.733259176447685, -5.016841234214003, -5.117355219434938, -5.085265221294469, -5.256449151953991, -5.1113837436109, -4.9977773410479545, -4.5355321005276785, -4.398911730048785, -3.9232478765648224, -3.8866548378665766, -4.373079885530835, -4.13742012160398, -4.067186698947434, -4.056287805118933, -3.9421295754558225, -4.014268195094993, -4.086922316568726, -3.9425971672671776, -3.710081940796085, -3.6614883137011174, -3.658359176548492, -3.8649789854959247, -4.087393365576434, -4.130272605971945, -4.34687227127349, -4.179721660459005, -4.25429746962354, -4.0654367241606915, -4.069132820103818, -4.105649168193868, -4.070690265536609, -4.206105718781581, -4.176522516920599, -4.436980080627662, -4.499773218136465, -4.646516900804301, -4.886089917271574, -4.941728214625295, -5.246741885359355, -5.087862744932143, -5.011979397729386, -5.129559202993851, -5.111481487992626, -5.438331778278971, -5.367133116562835, -5.315890147620097, -5.411060776258537, -5.444799631008519, -5.490919848532656, -5.504399925793528, -5.580060281057725, -5.866394129079763, -5.862380842659489, -5.647085660567785, -5.39777163418329, -5.632300721921838, -5.489346369070097, -5.732695283005301, -5.598021821243188, -5.718445675418013, -5.676110640632565, -5.465521394527636, -5.371607794690335, -5.668874326226647, -5.543779223898941, -5.852729193140961, -6.02324332065387, -6.1635933113279, -5.872083737978549, -6.132851599420794, -6.459820375893151, -6.765141242529017, -6.5969750386883605, -6.7427786920659285, -6.4174730385489696, -6.51268493134229, -6.295405677808569, -6.438795174316223, -6.643130245368558, -6.852735554050151, -6.714582514201583, -6.710767471932732, -6.779342747898499, -7.205576005238222, -7.148288207038829, -7.174835695793438, -7.368852393485328, -7.74840304632363, -7.634102288547721, -7.70662114903257, -7.7222702025210594, -7.8409034478823445, -8.260632778184837, -8.266948436643474, -8.427057479699364, -8.435455772374, -7.894382527984426, -8.195782951673891, -7.98725448905075, -8.262612426335311, -7.85266370912329, -7.532357141079459, -7.8856654372528405, -7.830511925143508, -8.005678670825041, -7.75005138283104, -7.378858059902575, -7.391714155895068, -7.332370774720132, -7.230310222431516, -7.418286501147039, -7.424256020407783, -7.602898340197962, -7.783254295475536, -7.520443443196215, -7.603198762546142, -7.3801356426483995, -7.594304598836209, -7.399367197616799, -7.632668595228022, -7.568364261206419, -7.559555710126277, -7.6492873019089, -7.790700190367004, -7.98268754944461, -7.896448717527902, -8.131082593920253, -8.52675973154732, -8.740135489691296, -9.165365798177978, -9.17500894399592, -9.253050157646914, -9.273864148585885, -9.317645268103933, -9.87342745042813, -9.772859033188729, -9.784193545137144, -9.85462288859405, -9.93296015704624, -9.90063798561841, -9.865515856879849, -10.25089100956613, -10.014600544697682, -10.084981864947235, -9.884385769581558, -10.098748489146736, -10.312971528285525, -10.556484460235625, -10.153817542153913, -9.799514980439106, -9.74910973842122, -9.207534005317605, -9.188307469847086, -9.151113956180074, -9.429329598854537, -9.6781677178616, -9.338042943593788, -9.2243063101378, -9.262947167845697, -9.434706497761596, -9.319835286095175, -9.301713619670245, -9.42035085256415, -9.565377926164256, -9.212208124935533, -9.541385322087217, -10.067984520451422, -10.028202478360619, -10.233245100774496, -9.742735480828623, -9.824092532516397, -10.109156404122869, -10.133197080347106, -10.262479635811172, -10.491890383813086, -10.16347925589285, -10.220448398684454, -9.466701654762021, -9.79173107000324, -9.657062313008561, -9.64779597786452, -9.299186298485727, -9.296950848076813, -8.961826180704405, -9.458736590303586, -9.11258986930698, -9.033804856717833, -9.26623460292013, -9.341830165337237, -8.683280611191837, -8.505225330618362, -8.552426935439161, -8.422212237034975, -8.270408247004722, -8.32095369536462, -8.42486630813432, -8.094234798116807, -8.054307816137719, -7.863052806067921, -7.861715706338127, -8.284357835365897, -8.292391118921984, -8.43659456982724, -7.753421650286376, -7.5997700853407935, -8.117969901771454, -8.180782129048655, -7.992730318222511, -7.884214258757449, -7.937751075922632, -8.27272518082958, -8.683633159911802, -8.86429059448641, -8.840537027204181, -9.030010272977544, -9.055427096200024, -8.630534626215272, -8.619061875639549, -8.451513038877385, -7.899171385629066, -8.369835415124122, -8.110061900432566, -8.002784394484351, -8.019170948213105, -8.279332707501682, -8.572167889534352, -8.607476222620521, -8.223718870273906, -8.437736771698388, -7.882785963680832, -8.155920448364288, -8.210925866884507, -8.128924806376093, -8.542310184899925, -8.927494199875712, -8.867466004303374, -8.922688483573664, -9.173791640612347, -8.786569943626809, -9.072075202805035, -8.749018088606228, -8.654281671009965, -8.395337834011592, -8.37022921183627, -8.722184995859461, -9.130362819593413, -9.378826924135552, -9.468940746388256, -9.491628607790101, -9.264338392640825, -9.226416941430584, -9.555534297978825, -10.001350944849847, -10.349881072117592, -11.087163385664363, -11.941799038634569, -11.926590823570825, -11.703716203911286, -11.501708674001042, -11.117168853473679, -11.304160218987157, -10.924610630651134, -10.712495959989617, -10.975780180556816, -10.797414327787097, -10.721359972496268, -10.320818352085324, -9.80426208579251, -9.644331047375887, -9.976715523099344, -9.998523573925581, -9.928287909828148, -10.002036368672012, -11.0841670423141, -11.392564104750644, -11.808045595764316, -11.364394077101737, -11.776781405790553, -10.99621987502464, -10.783097009151877, -10.815277656002568, -11.337647700262234, -11.154299816861823, -11.222559105380723, -11.208153654270387, -10.889465888531584, -11.323844369201787, -11.094334024159023, -11.260677018243262, -10.661587554980082, -10.652520820211766, -11.327182339610404, -10.539340418785793, -10.988450141181945, -10.863495056920003, -10.538440343170455, -10.393261602058146, -10.688811271352558, -10.851131915038959, -10.554173596115286, -10.617375459773088, -11.065296761482033, -11.269940359148961, -11.115975269351916, -10.992591150241262, -11.57215222616753, -11.509327608688631, -11.195324608173305, -11.488836387735681, -11.474268607374647, -11.467254594125302, -11.888226124911728, -12.538632849098935, -12.508797308501038, -12.838812664693538, -12.999004729452684, -13.539415574723686, -13.617717347456642, -13.556057755742914, -13.38091245875957, -13.407531938489422, -13.884653567155265, -14.018301323936688, -15.281944965370577, -15.360732179280237, -15.65979525708128, -16.450719031008127, -17.5085906762343, -17.12700700903155, -17.212367763589793, -17.636094891603967, -17.62230429874886, -18.245297892960124, -18.32023039106793, -18.199752981893884, -17.52294789836375, -17.210164779839833, -17.036932010994573, -17.539952571708014, -17.7094808348628, -17.549646001078568, -17.57174924598118, -18.050077249899527, -17.766081451020362, -18.363036308452617, -18.280655311709722, -18.295518141851485, -18.35625554828848, -18.294067452455636, -18.357136489591625, -18.28903699731946, -18.219771518160407, -18.310411019647574, -18.52981993029667, -18.982244582725713, -19.251581886153797, -19.41129990693864, -19.088918418817553, -19.58515246438435, -18.702146873888356, -19.1768267509641, -19.186960953267327, -18.641052628848055, -18.81027898822755, -18.463800866273537, -18.371548937903995, -18.25720982074938, -17.848964408454542, -16.929361118217304, -17.02721031661876, -17.17679167089678, -17.265962206146597, -17.480368228176708, -18.00014840381141, -16.88575032839024, -16.988993924608227, -16.51432760059337, -16.346160826814206, -16.496068821932187, -16.633490130485043, -16.87507366859601, -15.860517200893167, -15.675080173777053, -15.510125653803868, -15.466795497476408, -15.556189398208287, -15.58909832014225, -15.47089144096576, -15.601517139602723, -15.074111770990537, -14.861098256959776, -15.16469491866732, -15.332217172460803, -15.075978602564703, -15.770177364700038, -16.046943767272737, -16.318383920559985, -16.146569897632435, -16.353668515556052, -16.49898885147084, -17.148347362905586, -17.318378341887986, -17.374736578940453, -18.279660589989927, -17.951869195165397, -18.446608970058595, -18.960215869767236, -18.871213841498474, -18.926877643123657, -19.024861363724803, -18.333371216133088, -18.097431513326985, -17.87709771990363, -17.58125459984675, -17.35650964923515, -17.899617632070427, -17.672502674974297, -18.069612695742244, -18.161397995938433, -18.6902324699191, -18.849849260653055, -18.807424715666052, -18.937474776279636, -19.197248593765874, -18.838053733686234, -17.70010385290352, -17.61610712183719, -18.029493168845974, -18.483568785409165, -19.439169565444853, -19.539534656488552, -20.147726796821793, -20.319707830295332, -20.040303981486645, -19.345687639372887, -19.181465219622613, -18.236946064445387, -18.07961289299502, -17.91960928636937, -17.700752939809714, -17.48435057832366, -18.211458468930694, -16.882636445100342, -16.477579637392672, -16.38737717057121, -16.67100534311662, -16.837589486276624, -17.173384727895627, -17.394283094794343, -17.898371281279452, -18.902401274529478, -18.469447281146355, -19.436225552602302, -19.567948856142728, -18.655674811773878, -18.383473370355013, -19.193492513653318, -19.522648580069404, -19.47881377467689, -20.220699093238768, -20.53202893152094, -21.190700324014305, -21.653554245951472, -21.453295577992762, -22.13574595980175, -22.31121489821888, -22.29060278337241, -23.21067637020211, -22.71065170623988, -22.679202331240692, -23.057951511197473, -22.218946144138986, -21.789457068884452, -20.97302571320699, -21.451978048128222, -21.73425495203597, -22.574227447044066, -22.737755007352597, -21.58475091067034, -21.85783235933161, -22.639940873761205, -21.209563900645946, -20.34845376922653, -20.045154356041827, -20.146716150826922, -20.52592354551748, -20.922203377340075, -20.457186244366174, -20.730038964501603, -20.71542453044981, -20.82955718343341, -21.4715838201379, -22.270354532607357, -22.449987270247433, -22.178181596173076, -23.275813700473016, -22.32621113600822, -22.803810775751437, -21.975278312201734, -22.426393842492025, -22.565567402511952, -23.04146147235271, -23.48803295994037, -23.015014283472166, -24.00811969557186, -24.558599892504787, -24.593774812963687, -25.00030507068605, -24.312919616099187, -24.687734562654533, -24.43338693641927, -25.604972674246625, -25.801390408036745, -26.089441834296604, -25.930987457418126, -25.448803371729703, -25.77193741541796, -26.400317428477006, -26.94121052421353, -27.89671016759373, -27.49285166213759, -27.2174909516936, -27.471602652201987, -27.951650260415075, -27.91615126199068, -27.583763420828543, -26.467783333777504, -25.872333911397675, -27.016547183937327, -26.696521511331866, -27.053957270254635, -26.388486109037455, -25.89825710853664 ]
101
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Granger Causality" ]
Granger causality is a statistical concept that determines whether one time series can predict another. While you cannot perform the statistical test, you can check if one time series can predict the other by shifting the time series by a certain number of steps. Do they look simiar after the shift?
Causality Analysis
Granger Causality
446
null
Given that following time series exhibit piecewise linear trend, how many pieces are there?
[ "2", "1", "4" ]
4
multiple_choice
null
null
5
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Piecewise Linear Trend" ]
Check if the time series values increase or decrease linearly over time with different slopes. The slope change could be both positive and negative.
Pattern Recognition
Trend Recognition
447
[ 0.1631533727343083, -0.027403808644082633, 0.2739871647030947, 0.08168601950228538, 0.18880112385133987, 0.10669352863838928, 0.024665376593070665, -0.049483034844228516, -0.08593231044048288, 0.12518574293515428, 0.041193006278022616, 0.07780866558969926, 0.09908987214362133, 0.05469392055872311, -0.02662031290660117, 0.1233046491624946, 0.0036846774680984254, 0.034029248807489816, 0.09818034313689325, 0.022013901925623088, -0.15240558308507313, 0.13490691334066318, 0.15781000601420922, -0.14932552599994464, -0.06907407726865847, 0.23911196518344208, 0.06139643142267781, 0.04001705103671876, -0.001507456857879133, -0.06047042110118991, 0.024627039891230825, 0.14298003817583593, 0.04543892845856053, 0.1095040931233609, 0.22651535952210805, -0.006634213235771923, 0.08317005501208719, 0.1547908811772064, -0.03746987812562538, 0.07509472816501041, 0.24599085795846165, 0.02620232758723965, 0.1685309795709958, 0.0490515981870353, 0.24459294777710716, -0.09844358270090678, 0.07406778542122781, -0.07884434305699396, 0.0004224049669012825, 0.0012971682028668496, 0.04675237615639655, -0.0439121680623544, 0.06921197138862202, 0.12390153773008666, -0.07386646584279208, 0.017299558553813002, 0.3363609809704581, 0.1166544417181363, -0.09657443244922966, -0.053377938369636044, 0.11072803278102443, 0.09967317223855776, 0.032331248348441616, 0.3118759843447229, 0.3558863308801863, 0.06904407294574422, 0.18424705566078609, 0.19073694633760807, 0.2054766032906612, 0.037349717302908716, 0.29677213133974845, 0.09743645013164946, 0.14796433799499714, 0.10743844105271268, 0.09473443293740141, 0.13801245629845893, -0.006947586937283118, -0.0840053713379007, 0.09324084311548719, 0.028005087161928566, 0.17226717879031517, 0.16236478700021167, 0.12180273323611263, 0.27008117045927654, 0.12276988365493671, -0.02095347261596031, 0.1039661476505834, 0.2448963086389216, -0.05915697520523805, 0.12133381952321426, 0.18975261582150307, 0.3988996059557815, 0.25597009633315937, 0.149874931114243, 0.1901581755498848, -0.050218322975906865, 0.03604795459938512, 0.20758470043844007, 0.16007483313040444, 0.17430117226190758, 0.15030747910730005, 0.14785588411880812, 0.16012699886223491, 0.0456993757252703, 0.12987915705465322, 0.02983035128365795, 0.09375012889011364, 0.2767692356217867, 0.14057246378897267, 0.21970060250420548, 0.17311507052477534, 0.12456540856158849, 0.06366666472746928, 0.12598693028477143, 0.1857793002611553, 0.22694576021292448, 0.18263306239362276, 0.23681636786986088, 0.021320285956714785, 0.26147251210843125, 0.06344958241728141, 0.2760946383406745, 0.2294537211035523, -0.006336859314833021, 0.2558473394555522, 0.2831297511577461, 0.31087682334644107, 0.10969810903864387, 0.20596798179369444, 0.2589407960289083, 0.264597504602641, 0.2333858541851256, 0.15123911379056215, 0.29416607368453473, 0.2962226550924673, 0.18288178793875104, 0.12142309828170078, 0.1284572049033882, 0.33919827049381945, 0.2992532975898365, 0.20365044096338655, 0.18720605862068548, 0.03177366342461299, 0.20162118920976724, 0.09241874432955462, 0.2288991675715435, 0.33299290473590737, 0.11789198489991484, 0.241264776373358, 0.31865303667294287, 0.242373560136571, 0.16941468456171582, 0.2243205814113485, 0.3204757722443205, 0.25247764714867266, 0.22735176304028976, 0.3447720940548823, 0.28211852856615766, 0.1118054588135163, 0.2967059280441061, 0.3299894974615289, 0.11277094341194911, 0.011097592671431344, 0.13524723551765405, 0.23065949376452335, 0.343357257175074, 0.1547521793893632, 0.3008283696105185, -0.0424528103957138, 0.26628493525587105, 0.20904917796871567, 0.4610520616585942, 0.06345251490878448, 0.25267995548902267, 0.06577692874440008, 0.20209725072799178, 0.08842148762123647, 0.4900848183281109, 0.225920117650325, 0.24184091526281767, 0.26013945222068474, 0.15265410558985232, 0.3728746183720839, 0.3328391196920362, 0.36208250154797567, 0.14996143721456429, 0.386758107079994, 0.37667967362561533, 0.25292520233129845, 0.3671355735221322, 0.30636958843460016, 0.12117143302846953, 0.2637597561887587, 0.2353583027393936, 0.29352019545954344, 0.38855985556548045, 0.12378205337649073, 0.24502735626289723, 0.2086703639082026, 0.21443393681066153, 0.2114811225957711, 0.30207802316456717, 0.3490474930376531, 0.3330314037802673, 0.318234688784626, 0.3633112769486704, 0.5406384016545405, 0.31766388987228605, 0.4076575488596203, 0.4034310121728073, 0.486261045156146, 0.36600247548548714, 0.22698793103048207, 0.343376701367459, 0.33947134374442156, 0.39734469041884, 0.22995572272751594, 0.44539645721081556, 0.32075702486626134, 0.40564019548281816, 0.3541385460344039, 0.33689926819643645, 0.34949479155020896, 0.39477731177734987, 0.5249125501837651, 0.12877829243112338, 0.3859852859438199, 0.3378507307888848, 0.31721225460574526, 0.10006404915084799, 0.3958815997264988, 0.3268327280502613, 0.257355905108151, 0.34651570928493247, 0.31445764904409157, 0.17096631558615938, 0.3554930643411834, 0.4061509055327679, 0.2946891712320895, 0.3772527561060701, 0.3633616304309698, 0.4585686153694266, 0.3451191138828773, 0.4370664973031634, 0.3270909979426502, 0.5566274298114504, 0.31768003393533845, 0.2943332415034927, 0.3542529021297247, 0.2929691836604569, 0.24237439095952631, 0.4414692299120929, 0.0639130832552312, 0.2998935791611573, 0.23893948344331703, 0.3888017750552742, 0.15567326806276788, 0.449690067136835, 0.48083412293155015, 0.27228347333174535, 0.47492569574499954, 0.5277915014501822, 0.5905357581162365, 0.3699329346194263, 0.37618655163720294, 0.7077310856609915, 0.4955973405684754, 0.5453660412060368, 0.681736058688635, 0.521826651592854, 0.6324819602176445, 0.7685614784080177, 0.5575969750049147, 0.6700269114060708, 0.6276751299531672, 0.6832740976693581, 0.8995526451780538, 0.9418142981680483, 0.8474114953204427, 0.8951691984470986, 0.9127538677142155, 0.8153549275883434, 0.9267237232220671, 0.7936979813961118, 0.8476920190251642, 0.9551889609820038, 0.8780921638647997, 0.8772367025190708, 0.9536397756967507, 1.15978307856809, 1.2211837690447271, 1.082533998566384, 1.1643300413227473, 1.0700808842602465, 0.9401857647592203, 1.0777183436241247, 1.156556336026665, 1.2218078151004867, 1.2179334240151767, 1.2201866206617034, 1.2112080265193559, 1.3233777317975863, 1.172922447095451, 1.4098380436724185, 1.2913168312690841, 1.576981893021574, 1.3590606613826628, 1.3628947906277513, 1.3749638916606537, 1.4045323972557862, 1.5325956116269273, 1.4879653332518619, 1.6112212675935134, 1.579275395297197, 1.556302642158669, 1.6107689773765947, 1.7134283802395558, 1.679783435334738, 1.6624896859801481, 1.6970283897434078, 1.5598057982838214, 1.9525640480809547, 1.7685271491250278, 1.7988261939238688, 1.7534856334703612, 1.5469182095128327, 1.770460808961327, 1.8249100287003195, 1.7553516805120248, 1.7748002894936838, 1.8443505616576243, 1.9757487898748125, 2.0444914806305445, 1.9563324962268869, 1.9028184757492785, 1.9436380419312496, 2.010150043778287, 2.0423198035929917, 2.084332857382602, 2.0172210979800007, 2.134406347228582, 2.1468211050603916, 2.0826082535371007, 1.9704885745731677, 2.074264156250728, 2.339837504623117, 2.0340409603119824, 2.3554704914206086, 2.0711803248264498, 2.1870435397272483, 2.2472068114181294, 2.483229165944417, 2.327932101025579, 2.324238636785846, 2.27242469714577, 2.438475542750518, 2.355327751224284, 2.4040193540434784, 2.4114044403957693, 2.5395462559593334, 2.564058941355259, 2.419161485097222, 2.4657946821793884, 2.4762527663921543, 2.5874959803084288, 2.6801504093852975, 2.6294676043549403, 2.411056449903117, 2.7264166855855354, 2.535862427776584, 2.619557623126354, 2.731244946283247, 2.7233333716610706, 2.8393156250605274, 2.711286989367677, 2.69602102191502, 2.7818382753019044, 2.9310246289812154, 2.9166101301316045, 2.882677791422086, 3.0268794570365847, 3.02908891012327, 3.0137716570634856, 2.8374451987208054, 3.053887632392906, 2.975648051622756, 2.9767096008041203, 2.968269024353763, 3.0396726626995045, 3.014589091179322, 3.1144600442959556, 3.100510445806103, 3.160178758778265, 3.21377221091902, 3.1493286875744864, 3.125356029528186, 3.0187652368331954, 3.316791019202783, 3.2679223214605364, 3.262748304717781, 3.4178777286181283, 3.19215411863332, 3.346950361769453, 3.2652406691377025, 3.4475672662088392, 3.179672700486761, 3.5030085422777137, 3.5191931423272096, 3.3709460279034964, 3.490201389730436, 3.4137352324279746, 3.566967360097609, 3.6265507724141233, 3.464350042665551, 3.4554932911680845, 3.7151320195322453, 3.8199255112198225, 3.6955733053353406, 3.7232928961307983, 3.6535648369721563, 3.7250918430825157, 3.762481318624908, 3.7294720441279243, 3.9030355375153114, 3.8060441085237655, 3.8392497815416, 3.8128136230992413, 3.84329614819627, 3.991521250460366, 3.904560974055413, 3.9272200238102393, 3.948830873954775, 3.914479550080538, 3.8304569598130214, 4.148828523696027, 4.1187206577813225, 4.157115769426264, 3.945279664898975, 4.2173437248749455, 4.289858925719668, 4.217974236050874, 4.298594383482081, 4.2339171506624815, 4.089791677104965, 4.245535772092635, 4.113058462678346, 4.175675466412353, 4.287361070727706, 4.294255022563244, 4.3426808637152945, 4.137484571315696, 4.321589823618845, 4.412233615667607, 4.452491280763433, 4.479351359172291, 4.443420034826081, 4.4006919413291286, 4.509081592450933, 4.449283340010761, 4.58968043783613, 4.5626257420821394, 4.5340428796803804, 4.483635730189851, 4.692802933625867, 4.657080481812699, 4.83179265244434, 4.694437758790717, 4.72312766907622, 4.535929246064633, 4.733824713163593, 4.691443597484796, 4.826059799264608, 4.797205162346061, 4.8825841837391994, 5.017636524639257, 4.744860930304294, 4.9396879644085105, 4.933696772743463, 5.083587082457102, 4.976516208278498, 4.986438938356166, 5.031763369591145, 5.059064804991402, 5.132695356927241, 4.925640636368963, 4.9886647591415345, 5.221747396468572, 4.872667437587369, 5.080386155313619, 5.1241352259783035, 5.111808186972558, 5.307914325866829, 5.217733448359409, 5.151728407301182, 5.147339034272439, 5.2592826708279246, 5.368015664305347, 5.285581219328283, 5.278618522372197, 5.242852334519966, 5.3701047348198205, 5.384878050854438, 5.300919289614182, 5.496302911429567, 5.584585772362088, 5.439201385829703, 5.484835500960886, 5.364448422184655, 5.568980984399905, 5.561999601161731, 5.5032918791275405, 5.481873222786695, 5.740979499044061, 5.593238455799791, 5.461933260115014, 5.637993776455214, 5.574144036005059, 5.555806495267582, 5.646511949299242, 5.286118868457879, 5.365430173654897, 5.682794964730923, 5.530719838143157, 5.499673779210587, 5.407314265975781, 5.5592138572345755, 5.570293460397898, 5.681388301540355, 5.573290312370365, 5.5045039623901895, 5.574091385059589, 5.643211523607683, 5.620123592945724, 5.59188406153659, 5.555937724846267, 5.469085776210562, 5.422677573686689, 5.405595805209032, 5.562831998744902, 5.572002334461501, 5.630343733238979, 5.575825427714171, 5.6234783449143775, 5.504075494446186, 5.592953361364606, 5.414461021338535, 5.507328444854574, 5.328937427128908, 5.513983410673926, 5.632042550978058, 5.5153239250928285, 5.5792243168124696, 5.533099296514876, 5.4474771513524045, 5.484593909091813, 5.619966097002617, 5.572404010728916, 5.437715982613387, 5.359467365579469, 5.517638136036365, 5.437504452813538, 5.476687891724781, 5.347728091902258, 5.595984593473432, 5.480950484506181, 5.49485321985697, 5.404833158714574, 5.459126667178726, 5.49785007290801, 5.423017330138179, 5.461495835289809, 5.620450110262405, 5.305555728354137, 5.497755052934398, 5.399491233643712, 5.610425796832895, 5.4574430252763255, 5.369539255431496, 5.451432666612679, 5.506696053665373, 5.748033831160134, 5.258229539780074, 5.348037886925187, 5.597210345981032, 5.314531451181551, 5.465129565240331, 5.414568842562191, 5.397601883299128, 5.443163983926359, 5.425853930881882, 5.5635673219303925, 5.5894295887633, 5.497969471895668, 5.4304707792563525, 5.478663977631627, 5.532058504735825, 5.550464736212396, 5.486038547781075, 5.600538975797439, 5.384860572711282, 5.5592463651928385, 5.514425679401024, 5.381728612962018, 5.4647361964139485, 5.470349523486481, 5.424742279131675, 5.422390930684153, 5.283940675019977, 5.366235674399019, 5.4100641399907765, 5.3753834717539855, 5.345812861388648, 5.5362273610534185, 5.4184646745876455, 5.644270312816354, 5.448609848179932, 5.529089575052372, 5.403000808797672, 5.356384494212898, 5.4475758488292705, 5.549581492902402, 5.409861599791444, 5.462185619225599, 5.442002801503316, 5.405185623642692, 5.409042226838144, 5.312616168017841, 5.410093735050136, 5.475270942250491, 5.4382517152360235, 5.425837513695895, 5.478659563064933, 5.42439086698863, 5.40502792734922, 5.475891331670738, 5.414774210320127, 5.3761936765815825, 5.445419189021117, 5.393809280460298, 5.367918732808895, 5.410351258558286, 5.410257078140882, 5.281924478665905, 5.424348955300013, 5.574416150989114, 5.290542704410343, 5.33698520873794, 5.66398436093628, 5.302507427290829, 5.512098661349878, 5.359327995575101, 5.386951567885743, 5.366559745460017, 5.4209855458240295, 5.219179123536661, 5.394519444436975, 5.334296171271295, 5.187063924223948, 5.484199173997866, 5.16009895207336, 5.5844328092894076, 5.4300224622761535, 5.230966522393556, 5.499614423583646, 5.289506069523346, 5.292800585515101, 5.181924900036788, 5.274364598835003, 5.284882969145061, 5.440053412408023, 5.473697147969024, 5.231637841002271, 5.381509673313079, 5.169169168562137, 5.379368068887353, 5.566880566983172, 5.171430263539256, 5.2466838097135895, 5.419616942898231, 5.43014782644848, 5.25025566195466, 5.490464467508467, 5.260287408235986, 5.507930969754149, 5.386188335308539, 5.465183629218745, 5.3738838941521845, 5.401236449471668, 5.405292249204755, 5.447496608320766, 5.32847413155228, 5.240505485570075, 5.321340913888917, 5.261225000975719, 5.2665055308266515, 5.490929423101045, 5.386463445707235, 5.3806033623654885, 5.428932925894906, 5.382158578439929, 5.505854236157363, 5.108421011353304, 5.216865140515501, 5.245296174388457, 5.1765306689692805, 5.324133551359096, 5.327573501280559, 5.5078528131100475, 5.3994370609440265, 5.257044461120545, 5.3559720098296895, 5.1225770072476795, 5.318239499450748, 5.311631665772934, 5.211282152085836, 5.280111112460034, 5.229716057915873, 5.204454232531895, 5.363897635917506, 5.398577798756815, 5.344925190984058, 5.248854127454548, 5.225148192247234, 5.249442511149056, 5.266880677509426, 5.200411398619712, 5.39174178066709, 5.264870966321042, 5.36032538196852, 5.142584170240718, 5.212481162859073, 5.365993509217725, 5.366147724654802, 5.157279090042777, 5.306577929634002, 5.307941427400035, 5.202927619185139, 5.308187713869001, 5.113181702107522, 5.177276644290176, 5.3286005816634505, 5.27039377047846, 5.27432473487756, 5.247413391151061, 5.317350875293461, 5.320909263992117, 5.3402883434370105, 5.272444409698193, 5.219775263139551, 5.201653763741236, 5.150409696398167, 5.214554337577541, 5.192933844920707, 5.41246911016137, 5.146356433128082, 5.353525361505118, 5.221754312934893, 5.226619769368919, 5.2861248313497065, 5.102891224586853, 5.163486430481744, 5.118109016825227, 5.202936022046598, 5.1487812956635635, 5.370154085082723, 5.1788443774626645, 4.998068098350491, 5.201213360824129, 5.315402182076611, 5.358855780210576, 5.134051908217378, 5.066483518623351, 5.077900624447978, 5.082023729742566, 4.888802010249468, 4.938417670002656, 4.919081544963609, 4.8897876221024275, 4.831925293224306, 4.713973686325619, 4.802598447899929, 4.725439200632433, 4.686368317408725, 4.543988253010371, 4.677432145029359, 4.479792129009577, 4.697401743212116, 4.379004791339472, 4.534324137856444, 4.228456511230977, 4.154616461660273, 4.286142719613358, 4.0768216669477875, 4.336936334467627, 4.22295596867944, 4.3264116725767146, 4.130761565150097, 4.13296822490031, 4.043006040639765, 3.9436047360980666, 3.9514926505893504, 3.832947128333569, 3.953256535069393, 3.844902229559529, 3.826834507410958, 4.080404589009735, 3.7188988778774252, 3.7517520311378747, 3.6761349094698303, 3.75848016796958, 3.627738870814759, 3.537923061548695, 3.7554892852286885, 3.4014414585055186, 3.429198300886625, 3.501402756734743, 3.2891134099484334, 3.4086603129476827, 3.2453242507182405, 3.354767320230696, 3.3133171415817415, 3.167779931679089, 3.037913254738976, 3.0599853096638614, 3.0588235407752653, 3.1103045863718433, 3.0147077681445076, 2.9976128097641754, 2.9399272416932636, 2.9507885474302227, 2.807297842855346, 2.8050002323458862, 2.752521037676144, 2.667060263095812, 2.773198852619565, 2.7322646144145373, 2.714951592591911, 2.4791750617809925, 2.5517982176634133, 2.587126302178395, 2.5893515352431336, 2.249371029911377, 2.361117865265803, 2.3036571560773544, 2.4428351305828286, 2.023988387015568, 2.1013640012675294, 2.31057122119452, 2.0814682638449633, 1.9594665615776288, 2.201988558881172, 1.8687756701864378, 2.0753330406556314, 1.778276117320151, 1.751220894445018, 1.8766604529310378, 1.7329877107910623, 1.8062244176713085, 1.9203676970046528, 1.6858341122808156, 1.8252865285776017, 1.6561092671513047, 1.6804396293426564, 1.310701399352597, 1.5708274468971875, 1.5166456309899166, 1.3935346424257764, 1.5802669534269018, 1.3025653195544211, 1.1521710309818927, 1.3524264527231247, 1.0930354122859767, 1.204234019441884, 1.291734060183233, 1.16876776053255, 1.0553534060495553, 1.0061518949361088, 1.1289710774820212, 0.8416176121075455, 1.0022869122524725, 1.1053145774184672, 0.9014696708317936, 0.7844964526022287, 0.7534640453472534, 0.6826048430213464, 0.626710669472517, 0.6647650409907845, 0.682108219825203, 0.7364094108334337, 0.34085035932909635, 0.25377199299378295, 0.6218568903593205, 0.42573491838933647, 0.39214441379750403, 0.3924954115568878, 0.2848521596923609, 0.4622260819530438, 0.27506558999844516, 0.1422949916770645, 0.11240904809435837, 0.09504650033050352, -0.007138682214535008, 0.20069293118837842, 0.005312329937723537, -0.16296127551957476, -0.044218713892610846, 0.020337673323261973, -0.056312692581403034, -0.2772030833234229, -0.35095686920544883, -0.13614521589275858, -0.48013618501036176, -0.3194410981232392, -0.45221308854678477, -0.3028239590994666, -0.5784893912852148, -0.5914905673015296, -0.48896852845643846, -0.5099474965346845, -0.4923671077308769, -0.6198617789233536, -0.6710337366580231, -0.6398982883088771, -0.9206985348628205, -0.9104304517123119, -0.9899726716336333, -1.1686895423187051, -0.854732652578018, -0.8348076196123684, -0.9610043395334056, -1.017424126740103, -1.085763001768108, -1.1275725658309383, -1.0023923120692704, -1.055823863478011, -1.3080731225202384, -1.1775175354388934, -1.2042827275696666, -1.3010138463673073, -1.3661228128825575, -1.4083812936309976, -1.6307377299557055, -1.6784323331818363, -1.4818625646557118, -1.7090573365985522, -1.776775649710566, -1.8842218682626073, -1.7630732288858555, -1.716896609860371, -1.7476658510192098, -1.7469261264136642, -1.9099632093078798, -1.8989131355156796, -1.863886946104169, -1.9408986534628503, -2.0846110718652784, -2.0349873684177555, -2.302202711735129, -2.142594970234284, -2.243275181613851, -2.0684050140609216, -2.356812801689037, -2.286250236456094, -2.3796290749800426, -2.4313960125840053, -2.376668021902056, -2.4950492469036685, -2.306857568626962, -2.728343614849728, -2.506594949513894, -2.6170192095146914, -2.65239902292763, -2.655982892394057, -2.6252475729572473, -2.737343247751754, -2.7025452606731553, -2.836865759417765, -2.983744637311221, -2.9280757632749963, -2.8426964814709303, -3.03788490456166, -3.1439248472487877, -3.0125267423401128, -3.0796387441155044, -3.229214969890543, -3.2142610701176237, -3.247950103424206, -3.2679725219131073, -3.242781849308715, -3.3867864516300794, -3.3152694004920322, -3.4772704607906544, -3.2961184982618383, -3.3327915658424048, -3.6260452816685858, -3.7017825601720475, -3.520239277459207, -3.6310994166829333, -3.6405486477702214, -3.8000186930190436, -3.7866162767339664, -3.8466820002183546, -3.8206061892011443, -4.014425994074635, -3.938615141996656, -4.093087245697395, -4.057893484742267, -4.054899593078193, -4.03324914369239, -4.063788196321584, -4.085556444592008, -4.348754637411453, -4.112894696333705, -4.3426109860140825, -4.374137905401245, -4.3289116955462505, -4.428314300657966, -4.397259278069422, -4.41753030825921, -4.58741483599582, -4.568297579712688, -4.604164374894669, -4.531753125904316, -4.712924375675314 ]
There are two time series given. Is one of them a scaled version of the other?
[ "Yes, time series 1 is a scaled version of time series 2", "Yes, time series 2 is a scaled version of time series 1", "No, they do not share similar pattern" ]
No, they do not share similar pattern
binary
[ 0.14326780634233433, 0.19043503958842378, 0.5349275981972196, 0.7765404124590137, 0.9468508188294007, 0.9179833877761395, 0.9535229372383747, 1.0559565687842822, 0.9091114891215438, 0.8749616743460894, 0.7447030363292614, 0.5263424166426579, 0.4818429040090038, 0.09657347642074819, 0.012036645786286826, -0.37569497124704737, -0.46566937795713337, -0.8839469527286372, -0.8688708352399082, -0.9285888164319293, -0.8737534575798533, -1.0913628950696688, -0.9809485501792273, -0.8094966432272692, -0.592157574998709, -0.5088752740816925, -0.34216214313033577, -0.12723900917174744, 0.016817830135846618, 0.27997032367767194, 0.7267525921237161, 0.6581767476399585, 0.9485096816006584, 0.8347803466598243, 0.864622757156002, 1.04617992113094, 0.9076801106886618, 0.779022538289089, 0.517943636744143, 0.5281455336313214, 0.22195436911097358, 0.051575162019794306, -0.2547592702682186, -0.3752180157501104, -0.5706582121743596, -0.6821069257611486, -0.9942945823269026, -1.0084449165220557, -1.0770451730263777, -0.9573180894119108, -0.8976750440695581, -0.7032812326519321, -0.6777590706455305, -0.44795025766031554, -0.1371878267160555, 0.03227086760888098, 0.2995782908468859, 0.5382929698300921, 0.6839789013930806, 1.0345618429267989, 0.7780013350775501, 0.884243709454954, 1.0304003734229656, 0.9918512934598527, 0.7307204790568902, 0.647095223775831, 0.5375874133396913, 0.4040446766158972, 0.10592939976364243, -0.18441844207043845, -0.46927087826671154, -0.7457647585943642, -0.9947141474176329, -0.9704341495364714, -1.258363177408593, -1.0211294542787952, -0.8834140767275809, -0.8389027631539602, -0.8954512329437994, -0.7538307599820295, -0.3166607925784641, -0.25983194444973784, -0.024995380221626652, 0.17978224379653907, 0.4423542371386792, 0.5604251229825454, 0.797102241095694, 0.8667443477306641, 0.8974189145064767, 0.9907318237415854, 1.1205945209488013, 0.7958712203727387, 0.6409257180873777, 0.4432971247901114, 0.3408208672698333, 0.2723870834555069, -0.1065898484777896, -0.007173434143315394, -0.5793279422485718, -0.7681763405234953, -1.11904009452405, -0.9511263106825547, -0.888388191990918, -1.036820608106036, -0.9315753344208378, -0.8357711063768969, -0.8383654583930706, -0.4313296263974975, -0.5838482164025696, 0.025060816000389716, 0.13986719714032989, 0.3681248703769103, 0.47758752027429513, 0.7470159966829394, 0.9022332716663097, 0.8685501841055296, 0.9241002976905982, 0.8906151358652583, 1.0995219749501937, 0.7088121386554764, 0.763776362454088, 0.5225398044466589, 0.38113966470783245, 0.02707254622326873, -0.17596599714735298, -0.553154424542992, -0.6002244844851412, -0.6547292984391466, -0.9886239889094338, -0.9472152118349844, -0.8951588084854555, -0.9953766196114957, -0.8259220190859008, -0.7900830292416696, -0.6243348327878043, -0.4871551925611749, -0.010087059597275905, 0.10544204135875607, 0.22436903586238405, 0.5266910705175593, 0.7131148881677246, 0.7763924987089668, 0.9976429598967779, 1.0264275316350313, 1.00205993534065, 1.0133557547165186, 0.9747756916273318, 0.7702658371555626, 0.5373487149238403, 0.1633864838911412, 0.0964848853283723, -0.3022599250440283, -0.2592317374032185, -0.5007359315133741, -0.7815858682599229, -0.8002119192826331, -1.0739275498376093, -1.1174054562016258, -0.9673481730028678, -0.9930821538893944, -0.8278438648785837, -0.4942146498168266, -0.32027793626029266, -0.28184772804523817, -0.07609199776577515, -0.02375043911114716, 0.7135495329606368, 0.34199450720795704, 0.8041460053045199, 0.8234229885029397, 1.0730682867807602, 0.9868965413012926, 0.978419758707679, 0.8615110046570821, 0.7313179658511587, 0.6265684716859137, 0.35208425468877624, 0.20222082809673236, -0.0036795935998332335, -0.40018743180164995, -0.3494049881094574, -0.7093525202704429, -0.8477071534019119, -1.1069379995448925, -1.0095096122581302, -1.1019153873745489, -0.866791808517162, -0.8547295249612753, -0.7909766641495968, -0.5123530484724876, -0.2572539872137986, -0.32083317670529493, 0.1465693667467131, 0.19010278175107398, 0.5993249828277547, 0.8411933192688108, 0.9181001688145003, 0.9752665273515263, 1.1015008677727383, 0.9679920804584171, 1.0485288972945357, 0.8759620536654362, 0.7450630752625722, 0.30272056791698276, 0.2797191415916525, 0.11573025607381712, -0.20506316827897228, -0.2331770801307738, -0.596476344805034, -0.8506454659892174, -0.9209401164762782, -0.7955888260721291, -0.8415929456065926, -1.075949263503453, -0.9828111290640258, -0.6121142480067875, -0.5987006020907899, -0.36632360323692587, -0.15838970377140102, 0.11400427841969193, 0.35406932866031404, 0.44931913352756686, 0.7673310442704059, 0.8955254654932144, 1.2181532416742424, 1.0907544035198913, 1.1466053727607415, 0.9372562425197157, 0.9818844014893344, 0.8623985918772678, 0.5514667536121719, 0.4066581447669933, 0.08153952634528505, -0.3177366964227458, -0.28273378091510726, -0.5167202546962609, -0.6078894183148329, -0.8671267356901228, -0.940269618135458, -0.9929391263351849, -1.234533335831848, -0.9278695035689384, -0.7249875011626166, -0.6434792530457384, -0.4313721396220332, -0.1375661776380444, -0.00005111121196617156, 0.2445780518121246, 0.30114799128730096, 0.5679476431358554, 0.9251781825826424, 0.9813168973774309, 1.0977306172272796, 1.1673511577479634, 0.9978316661236432, 0.8149161843130894, 0.711554077016565, 0.5591053664405131, 0.4082757354195226, 0.09020917577235488, -0.14592206770208774, -0.12462773243504621, -0.42325950253452743, -0.5311338309729583, -0.9261761921864106, -0.8665621962815249, -0.8233917673291525, -1.0232369887774178, -1.0112800610839532, -0.7952829362320664, -0.6440552914628318, -0.5216160298382203, -0.2734056515343073, 0.10441277103406332, 0.1933790716939437, 0.5406515370571058, 0.4958423573029482, 0.5815186633298655, 0.911216181171577, 1.0883804949844726, 0.9131853107024848, 0.977346532340498, 1.0936498764413134, 0.9496473299731533, 0.6389772684312622, 0.5171694183714839, 0.34986377323503937, 0.07059836627287723, -0.04370671290058212, -0.4825666869095769, -0.5707658495820388, -0.6988239286775241, -1.0349119585738056, -1.0779071793994692, -0.9937914320539402, -0.8523288291585608, -0.8381133931854277, -0.8057430723341772, -0.5992633616252588, -0.25984244395167944, -0.11194864162204299, 0.10183032084488439, 0.29762739370447794, 0.49558036963939334, 0.6560318655039543, 0.9560767653435419, 0.9089073198320835, 1.1411714846811154, 0.9175449255387962, 0.9149409565714492, 1.1698376032296638, 0.8368948674706781, 0.42291869112984387, 0.4246211037421515, 0.21258452612869286, -0.054002122262422625, -0.36950714562240605, -0.6327642315290822, -0.620206782046731, -0.8758493503895453, -1.0866104929055436, -1.0466387129964414, -1.1372104871552386, -1.0129573247024117, -0.7166239203761332, -0.6561244903899869, -0.3341972864037333, -0.3300843762951724, -0.14386609321388613, 0.27234631727337016, 0.32695427457177784, 0.5629281105887387, 0.7393914936071593, 0.9496553987121046, 0.8663565964122328, 1.0396437484035954, 1.1134351790514727, 0.8721531757164996, 0.7226416270216109, 0.6571006308493899, 0.4091921537422232, 0.18874751834777118, 0.045227947252269765, -0.23736330655800011, -0.5197021571167842, -0.7362747599717028, -0.74181045959594, -1.0148448283045752, -0.9560682988954727, -0.9771447202984168, -0.9810152001213862, -1.043266063210859, -0.5805682632850647, -0.7438147711651675, -0.5581832917528377, -0.03118418294037073, 0.20911095733605833, 0.2740933712979112, 0.7135179253271889, 0.6316339910399503, 0.9697467278096057, 1.0629141399247508, 1.06278995797842, 1.1400887726814044, 0.8540372671181421, 0.7704204853061839, 0.6140825316255959, 0.5977055487474204, 0.26378194147389944, -0.040016566313887, -0.34445912397015854, -0.6011479805435807, -0.49359636406412, -0.7345023896142838, -0.7544940552800299, -0.9569685200000597, -1.0193471718826927, -0.9347982008455209, -0.707382491208241, -0.8312258504132367, -0.5753368860852841, -0.5123610279790829, -0.3648026361042538, 0.09624439843809823, 0.3310826070854306, 0.50375707936082, 0.6470676789961994, 0.9288532429549302, 0.9287137111988515, 1.0449355423626197, 1.184526728803066, 1.0294190995609642, 0.9697592339764426, 0.7524324775761897, 0.33793022890095015, 0.4319747433873811, 0.17480229231733116, -0.12230898127316324, -0.45677012860320726, -0.46361816274539724, -0.7322910852242445, -0.9014205800158794, -0.9665027083849762, -1.1269075395445813, -0.9561165219148025, -0.9582102176625368, -0.7945980042780277, -0.7517941037563256, -0.2934026785764976, -0.23972541074763334, -0.06316175904561203, 0.05997151308319221, 0.4479384477835141, 0.6142973128004661, 0.9763195450642046, 0.8714411673072763, 1.0328865910639837, 0.9618349857360287, 0.9335335983339043, 1.0382204948343652, 0.7578459677464965, 0.5459211669230782, 0.3901758343434045, 0.05675611033913899, -0.1107993742682149, -0.15440612295905207, -0.5210623063378169, -0.5362630462053457, -0.8017924645081221, -0.7813968379152532, -0.9916263132287934, -0.8382363785927013, -1.0068653046333191, -0.6633325944566022, -0.643089495677906, -0.6184929826770916, -0.5778124959290434, -0.10680944637713034, 0.0666223591358023, 0.5121714370485579, 0.6310598182382603, 0.7056601399355397, 0.8692800549878937, 0.990222070228296, 1.1520377205619248, 1.0324149942775191, 0.9399352589828897, 0.8166552940994313, 0.7687278177839372, 0.4625496874261569, 0.3458712022337999, 0.01757532876174158, -0.2420237614956313, -0.33305738779817723, -0.6784194071670369, -0.7905208117856335, -0.7910944398216891, -0.939275593863476, -0.8571082821173188, -1.0384898340499684, -0.841684473905204, -0.580279910673704, -0.5773087622144408, -0.34256397130331917, -0.041904863920990715, 0.1746789769281053, 0.43247194147695617, 0.4220664883204466, 0.7114254261055359, 0.897494335418556, 0.9287777011937501, 0.9013429511968556, 0.9662125777781879, 0.7083243781922199, 0.9132326522473296, 0.5455307001734285, 0.48386129464128796, 0.43968532688658685, 0.08625199782398661, -0.08623660680746767, -0.1335576550962427, -0.5548936485987063, -0.6812978531887692, -0.7721108343663086, -1.0191090468899109, -1.1295283294186271, -0.9024261523761257, -0.8634789358233801, -0.8637291770912597, -0.7516362231470186, -0.3750363733682517, -0.22328615056209133, -0.06070690792405258, 0.3099210134326318, 0.37829326506421695, 0.41765559913940753, 0.7381990240518436, 0.850411380653887, 0.9476098194421808, 0.9654160255400457, 0.7608970492140815, 0.9900421192164746, 0.7049534502748952, 0.4122657758292679, 0.46755239215030053, -0.07052380993559015, -0.1022929751701306, -0.11665847714343594, -0.6590718220486177, -0.5521798558101993, -0.8664489032259144, -0.9183842169896881, -0.9071098385302311, -1.1140638878564517, -1.0713225712095769, -0.9753636795877548, -0.7966570347396216, -0.5699484869153719, -0.5105974257589339, -0.08574193884848902, 0.19835793875772928, 0.2539077468657414, 0.44963224367096777, 0.6893407125254987, 0.9021762889970378, 0.9415075979833168, 1.1987959750868509, 1.07521393752062, 0.9507453996441908, 0.7412664306400668, 0.6480277341865681, 0.46110524307074746, 0.5159725748894068, -0.006302921621922655, -0.05680683467857575, -0.520800130478023, -0.5765355281901611, -0.6699422651895983, -0.8570885783801228, -0.9438720847278912, -1.0080230832223238, -0.9669660998789328, -0.9242648721064719, -0.8695990159099545, -0.5516672491596364, -0.37122873402670714, -0.14127463817581934, -0.08780452397173333, 0.2253491909288426, 0.4748859641293981, 0.7062432326556363, 0.6746473828203793, 0.7459901407548993, 1.097233765599074, 0.9701633346158256, 1.0889524601148914, 0.889842287416676, 0.7932290988640814, 0.5486167483230046, 0.3746882360254721, 0.21751165736077838, -0.2191205652670455, -0.47699077315025046, -0.5515119431533094, -0.8767769372945244, -1.0374656061988725, -1.0468526592425549, -0.9132341174550677, -0.9559918571853484, -0.7029931201889952, -0.7538862858962849, -0.5241308168020896, -0.49740235429518687, -0.27972542058850003, 0.13994814930106317, 0.16228023247727935, 0.448245015846487, 0.7780709970301141, 0.8153508974727223, 1.0384205614649045, 0.7903207297181374, 0.9099819862933424, 1.0692242130018792, 0.848250954797524, 0.8030956814566965, 0.5931553404963429, 0.34364006404125236, 0.013929343507859487, 0.0018366736864901326, -0.33651154538319084, -0.3715228112616561, -0.5691500841169467, -0.8660569426561691, -0.8930653117851088, -1.0305892492371678, -1.0636579428146233, -0.9574918656503992, -0.8136316209409197, -0.6398718338759126, -0.6280937795345682, -0.4508518023507777, -0.14964045101552223, 0.03457300034338465, 0.241980497925391, 0.5290935240765219, 0.6420376211181315, 0.8682073607920519, 1.0061360578499952, 0.9637717229226067, 1.0280742717255584, 0.960166141595903, 0.933255425242373, 0.6714714805210157, 0.3725237909230701, 0.1829721014645293, 0.2105065906042229, -0.31245815448757897, -0.5205025487509644, -0.8577010912414234, -0.6424092242207445, -0.9023053853025301, -1.1175802378197766, -1.263202013113828, -1.0101620321991045, -0.9340089091459736, -0.6161800606306259, -0.6122690844078442, -0.5047931186660874, -0.1631146081239415, -0.04638770835555939, 0.14561452600854252, 0.4168530519909168, 0.5086786102372758, 0.9782822576821041, 0.987726407394628, 0.9914966989087411, 1.0163713331088886, 0.9289685789506493, 0.9120747520759867, 0.8324196618268671, 0.5573229041251275, 0.473983066559492, 0.13194104734578757, -0.13384566071320858, -0.19946705183019356, -0.6486258675513858, -0.7615386647181637, -0.9285232272488796, -0.9195845747120814, -1.0156066468887077, -0.8584236169837345, -0.8378446238867022, -0.831606342807722, -0.5204298543276495, -0.5318628864887597, -0.35424671430709215, 0.0008411927458547644, 0.16408348485459254, 0.4507009422017399, 0.7807424667193901, 0.7156977699517798, 0.8580714519568653, 0.8829897175325248, 1.0354668902113153, 1.2081873458370795, 0.7769803174924276, 0.8424186766138128, 0.5941611564602856, 0.39976528884981294, 0.1105682104485152, 0.08099582382793045, -0.0806110567895538, -0.46460903162208667, -0.5896652096566402, -0.8512354243106535, -0.9595254543861695, -1.04165833215267, -0.8630611163949853, -0.886090351540044, -0.9882951026306342, -0.7107336205024855, -0.5389359118953261, -0.43158548963780746, -0.07510948541459564, 0.0920706471520397, 0.31431003793343526, 0.6123982821705506, 0.6911682275078455, 0.8084379928347616, 1.0694063434320693, 1.1554871528411887, 1.0981787651150836, 0.988317900980464, 0.813544364853134, 0.8245164447565139, 0.5035009917244349, 0.1961000177966188, -0.05223596636522477, -0.15701545262722802, -0.3385616381772483, -0.6552495148080689, -0.7226377928942519, -0.9838092568894232, -1.0831012641052726, -1.0612952470256294, -0.9270309767829858, -1.0295233516395808, -0.6655199880541287, -0.7424580018721573, -0.22428285592193284, -0.1152754540271914, -0.08861322188526553, 0.36848283154152434, 0.5580569749828465, 0.6122766237928213, 0.9019616884606869, 1.0943218328323254, 0.8808425740891463, 1.045555990974225, 0.8289944959362842, 1.0352353815311148, 0.5292005614647712, 0.4392027056501437, 0.2820901124928084, 0.28297401669995376, -0.048378910853095675, -0.3947436665347781, -0.49999059391348744, -0.7030952217294154, -0.8377617943992887, -1.0562765594170342, -1.1186078004350157, -0.8251436894743863, -0.785739721011842, -0.9330810943813246, -0.6756117619700566, -0.34210873092996985, -0.1276178837794111, 0.026796506890721217, 0.4029048708547166, 0.49840109017563083, 0.8586825998591379, 0.7922680486887845, 0.8764022940709871, 0.9385016637970031, 0.9290674874314497, 0.8935357703727427, 0.7067024715441088, 1.0047995856694276, 0.5649716587323107, 0.580529964942613, 0.17070260337161852, -0.0645779540016433, -0.33000123603268405, -0.5564558496132437, -0.775781418412063, -0.7881379609325836, -0.9617785663735217, -0.7619078286267552, -1.024821516598571, -1.0475871547144007, -0.7668736327353651, -0.7483875225771682, -0.451098355415696, -0.3722900674599924, -0.1178828089742156, -0.061946163742540764, 0.26957435022561904, 0.5325616609710059, 0.6927131039197713, 0.8945481383741359, 0.9652714151966167, 1.0295399859240666, 1.0564004620553125, 0.9114816799212075, 0.8088154536618127, 0.5794344801678787, 0.6636248118425685, 0.04772542455402076, 0.18141163355308831, -0.201445003919614, -0.20327090755587104, -0.4490273362600047, -0.5935564735868826, -1.0042855301862943, -1.0924256960291645, -0.9346048328613807, -1.0124362813211139, -0.8340167788403425, -0.7766343551626672, -0.7010832554524726, -0.3396450948602407, -0.281970903014861, 0.04176015323299989, 0.12403801712699491, 0.4990049988483746, 0.8217933194132164, 0.6379102326846728, 0.9940323944197467, 0.9232707138684915, 1.1160261463557566, 0.9608771144978311, 0.9803990198472678, 0.6600384150372807, 0.5632184058799115, 0.3104960158447854, 0.1557178605453558, -0.07472071105778699, -0.13158065418734322, -0.43122923570533533, -0.6954695636104573, -0.7078398755850628, -0.9170632414257418, -0.879408079795827, -0.9568906723729905, -0.9988645647594897, -0.7496332905327155, -0.7122382420538157, -0.6316602240585094, -0.34125060359384174, -0.1424170367418625, 0.12365352370226909, 0.5637304734001276, 0.5694435630639285, 0.856411250903544, 0.936671886637007, 1.023274586846932, 1.0204605213538465, 0.9339111130131061, 0.9913065936779044, 0.7980643696987312, 0.753323172187597, 0.37976250892350627, 0.2907518398248197, 0.10389944217187562, -0.3877583015870418, -0.4660734074873266, -0.6791787268006925, -0.7508859146409816, -0.9633518838502513, -0.845595249814315, -1.0615445025335397, -1.0578041126506623, -0.9957345845453975, -0.7950900263806685, -0.6306310993076492, -0.328827661700344, -0.21538259438184038, 0.05244297784037663, 0.4069656502058105, 0.593315601525307, 0.6915738290343283, 0.7865029063442681, 1.0407382548022461, 0.7647454750516527, 1.179202420877981, 0.8588986016572175, 0.8459886820068843, 0.8345513358126029, 0.3655927284284853, 0.22853468026883483, 0.011217389829723638, -0.11227288963061752, -0.40904630543690057, -0.5146640780572502, -0.8781702472769792, -0.8923211209045065, -0.9632486664601282, -1.102061727051692, -0.9608873567453567, -0.8301190590605791, -0.7130285967732384, -0.6608351025342867, -0.5441976436660121, -0.363122431980622, 0.06514731283189695, 0.2851075233042767, 0.4687801380126741, 0.7230697224032201, 0.737549842211336, 0.661811532646035, 1.0320767087851155, 1.1523173598225358, 0.7602858973994757, 0.8035266180466328, 0.8517835988389737, 0.8785968061905236, 0.2802969697990672, 0.036692727447925774, 0.004304911251626409, -0.5419820088227297, -0.5371442866495325, -0.5830548630473987, -0.8933703548643469, -0.8318225316205259, -1.0037988615289404, -0.9448041593875741, -1.0498452173334132, -0.863653525198269, -0.6533814673039835, -0.40656681865441446, -0.28881154352253996, -0.15777949269673303, 0.22497825487395534, 0.26328246560104696, 0.6159137188969802, 0.7842703353446531, 0.9412258184337041, 0.9620561966170413, 1.1116385296547693, 1.0769608438977722, 1.017091480676744, 0.952207099925741, 0.6506437252139112, 0.4675931086178699, 0.46164815438242657, -0.10168902584470804, -0.29104352588379184, -0.37641371767311815, -0.590447297102815, -0.8582798477258166, -0.8467856802203536, -0.994183956585619, -0.9071616847428597, -0.9431233628235961, -0.9480222152411617, -0.7723265366224515, -0.3895717882120743, -0.4347059529691388, -0.1494118976156398, 0.15439551618451142, 0.1813983467822581, 0.5843536663536582, 0.37289755851872197, 0.7416995291040909, 0.9884937990372218, 1.0389370535144324, 1.0448205144405442, 0.9263345809736634, 0.8782628720167379, 0.7432072755349153, 0.5248954871990121, 0.22826872223115396, 0.02704259300603841, -0.2548869329637564, -0.4675561069861579, -0.5850657279759273, -0.7433887046931744, -0.8486829413459528, -1.1513026803072843, -0.837571997460338, -1.0050849400963817, -1.099854074497787, -0.9429102042956077, -0.582764459295475, -0.3540500843808717, -0.3099305625697823, 0.1119502452834977, 0.47446498085015515, 0.3582199665900153, 0.44727701804222564, 0.7320778958920271, 0.8850762233297861, 1.0572776837357745, 1.0072785847831713, 1.150740831553232, 0.9169929110721157, 0.6721958285712015, 0.5370570949505765, 0.47937515422454424, 0.16063122353419876, 0.06136153000081816, -0.3949267441342872, -0.4436235416949494, -0.6879636885370997, -0.9254424664232956, -0.9407785179170338, -1.0476809839985475, -0.9787334378600918, -1.0329053314153493, -0.7985225035932543, -0.9102694102180827, -0.5166250964711104, -0.33365317361813074, 0.007967628605079012, 0.24058538206865443, 0.4327940822932349, 0.6090150410534159, 0.6421548490752986, 1.0252466574422288, 0.8657565606233313, 1.1479215474444162, 1.1523711037293372, 1.0165237616850382, 0.8281854030850803, 0.627615324483202, 0.435870093385788, 0.12119254405637023, -0.029876778198429998, -0.15230882620146682, -0.600742351655674, -0.48001339271289156, -0.5422205736915937, -0.8795078995306295, -0.9056298684847024, -0.9785906180963455, -1.0298176675022548, -0.8584602001668488, -0.7114523121876791, -0.5545443801750533, -0.13109588691806792, 0.054275221783866456, 0.1397786951023649, 0.1496884694988501, 0.5155373159570522, 0.7386452341334702, 0.9270220895338119, 0.8585758481767307, 1.1870679550551926, 0.8420885380907908, 0.9105204725196668, 0.8859012174153567, 0.4839447606266363, 0.33044879697159346 ]
[ -1.8458596192966799, 2.5991158301517236, 0.8227627298133267, -0.6753626533001957, 0.20816568036283534, 0.726509801605901, 0.07769557677558248, 1.6784718907827092, 0.6890363539381273, -0.3623107508547818, 2.3987773504537304, -1.9382450457216824, 1.0379740794226575, 3.34331844790629, -1.4377305278929564, 2.2729511300460428, -0.2994038643471792, 2.40500562286081, 0.8810800162939239, 1.4040029379986285, 0.9231837475669115, 1.2292359547429967, 1.3519888120241026, 1.4350844786131107, 0.9013124867278766, 1.2444191622165088, -0.012186937805750087, 0.2715830547971667, 0.6818476909712097, 2.5732472984366925, -0.13383827822833433, -0.8156729709443292, 1.7563024745408566, -0.14427187760845073, -0.34342481604487696, 2.0806347502801836, 0.5793319547984781, -0.03827361118562145, 1.5803597754482899, 0.764207549215265, 0.12211355060230476, -1.2869809781932295, 1.588008819789358, 2.593575780002024, 1.1749986682102271, 0.6477675256991714, -0.417549224806499, 0.4455398622068859, 2.0568039195557226, 1.4548964918311214, 0.7454986060114802, 2.411636833845858, -0.0348976574796441, 0.1592684096445256, 0.27741923524633094, 2.0151606909975475, -0.07440333367598773, 1.9128787581761915, -1.152956901608183, 0.7789150576851367, 0.35234427167798216, 1.7826981040302576, 0.01566708683236523, 2.4333887722787537, -0.6724221273485058, 1.6637050285572017, 2.1002987794610397, 2.4922580888344683, 2.89345349230474, -3.259346726586192, 4.386376430637023, 1.138574146394966, 1.5771418726822735, 1.2254276304619502, 0.3975147809377332, 2.285628049871475, 1.0836546250113281, 0.025136850141482592, 1.7990756692591463, -0.40086820494111597, 1.0628709837274255, 1.0390830760424352, 1.1254550404755173, 0.6655729037779289, 0.606379250646966, 2.6658813022555465, 1.8046295366015592, 0.3694862289440919, -0.5514997377146065, 0.09524591734813859, 4.356783755497759, 0.40804227762719053, -1.4471598015818006, -1.4488753175721931, 3.1008189743757093, 0.7937273410381254, 1.536239366408513, -0.8145645547289115, 2.9685571121836922, 1.648667401037245, -0.7122399337233916, 3.8275362179436963, 0.03162604333134911, 2.9206344520317744, 1.9242822389958352, -0.004756748711369441, 0.05960824973975298, -0.02453254680003991, 2.033024233775031, 1.9110361182813276, 0.18915546678861778, -0.28987590062379176, 0.3049362039660841, 1.2977902410696505, 0.2580241631106752, 3.864868036137563, 0.9597711741602144, 1.19430753800081, -0.22037771693141794, 1.545137457170963, 2.001384236305294, 1.8866223817976535, 2.21323916521032, 0.5748920762828366, -1.3380320140505984, 2.837475620645494, -0.9930404219359728, 2.4637772250806598, 0.42680809825059934, -0.27760230340005754, -1.3005564496689725, 1.1153814611125383, 0.7952092230799641, -0.622741971429015, 0.38368819190916975, -0.3519178301503262, 1.2407373169360616, 0.6221203332557258, 0.5997337384536043, 1.893186726656783, -1.6276325175289212, 1.6210311306845897, 0.9103578566347118, 1.6950464116110453, 1.7313530360487575, 0.7924792842303401, -1.0651044857542113, 1.2930672148661115, 2.8264939728473264, -0.24023692333325464, -0.20489206060459075, 2.671799685816883, 1.8723285142387889, -0.4670400954105579, 0.9375871000226277, 1.3641281026018865, 0.6317025544011698, 1.2666515993057827, 0.3524624912062897, 3.2378657798130144, 1.4531289182889506, 2.3020067353662608, -1.0587102236216368, 1.6997769586154494, 2.5343241023632608, 2.2728566617553003, 0.18778263700503084, 0.5475109708448953, 2.13645838705206, 2.5813138893449272, 0.32446049447938796, 0.44310087729098036, 2.3894568144753836, 0.9137978089488955, -0.2500042484928866, 1.5284340158360152, 0.9787077759983139, 2.354668677828787, -0.8750508867506384, 1.183857876299063, 1.1015118525023473, 1.1949634747502926, 2.7322995371061287, 1.859330917039259, 0.8825779783391051, 0.7253857562625818, 2.253622242789449, 3.0406770132431458, 1.7530565961578617, 1.476300550780503, -0.5349961678956144, 3.160962195839369, 2.906100428958147, 0.5548136278553027, 0.5216620942053173, 4.544354272456033, -0.5866041781117258, 3.4758192225334437, 0.6601040666076187, 4.002887080945355, -0.12946573228726654, 3.2312509818442825, 1.3349387292871078, 0.06699918914816905, 0.3723137757160475, 2.7282704009334937, 3.7067642184438183, -0.3483598408292484, -0.08877925487616761, 2.5370803937778263, -0.6863492098310011, 5.026434203332938, 1.0838336091503193, 1.468718628003224, 0.7129536541876889, 1.1774191751195149, 1.204654831860611, 1.0110938563225575, 0.723907933702248, 3.2010383661344446, -0.5143703507918804, 1.6554464953672452, -0.10782918445899643, -1.2025756259691336, 0.8567443408429247, 3.46351070439186, 0.8533030608637258, -2.202774019392371, 1.2376509463953644, 1.5711619814646842, 1.4367636598688303, -1.6185568154240977, 2.079046489190715, 1.3968099472016524, -0.9979048996687486, -2.8079947482215455, 2.2455193334116035, 3.48710053050758, -0.7418995513919353, -1.7763398268405202, 2.167282084558331, 2.797863036883442, -0.1043594823760855, 1.637025655495988, 1.0647051255153441, 2.2614927920055328, 1.269737871516055, 0.07944431405430374, 0.625237806665091, 0.6535799677860603, 1.261282872908255, 1.203143545205294, 1.3583973710416672, -0.5965375118554308, -0.3924427965838623, 1.5147814778420756, 3.6201794901580016, 2.8076700906646166, -1.5584521194424747, 0.4118482815898661, 2.183236260809222, 3.964527550123419, 1.0027595763249848, -0.4865547154986011, 1.7390816645408362, 2.5677193853203986, 0.8438962537577092, 1.2710904376576013, 2.4439047880944353, 0.4555167886018109, 2.116851550519012, 1.4774308604528184, 0.10121342480752005, 0.8392887566257432, 0.8817474342736134, 2.819880681435856, 2.1201030714036913, 0.13513959107003826, -0.2082186067324645, 1.2583619262114156, 2.6037397488985903, -0.8649866889305173, 0.09150581409981084, 1.1239482772971565, 2.375558973605079, -1.3223524593921159, -2.202437369241826, 2.0034138134255857, 2.731299529847549, 0.1785484845770576, -0.8707991231278771, 0.6714231051049366, 1.1064655685737126, 4.840962565354283, -1.7103589555547485, 0.7411108877076205, 0.4389304843428657, 2.7991226598206698, 1.0558856169353754, -0.02720653321288824, 3.4566731753150535, -0.5043943314155271, 2.0239457028711736, 0.40920215876655935, 0.9658729767254166, 0.5773726447730954, 0.9245677819713166, 1.487582463014559, -0.8595582292646873, 1.6840705305593957, 0.1422518110211079, -0.6879567929401315, 1.554428364734835, 1.3624456700725198, 1.4456245798261476, 0.30461358051854426, 1.3541200145775596, 0.442054396442054, 1.0985817585436137, 0.9837496891198282, 0.5246342634575594, 1.4606368645413204, 1.604739900514383, -1.2889860810025935, 3.3602136090942216, -1.7506861034358103, 2.1192159060024833, 2.67885471196804, 2.8995520935923205, 0.7689610789003649, 1.2741923968926567, 1.3749295479254253, 3.4732891543444984, 2.0195968451840947, 1.3070440034878115, 1.359870028768518, 1.3151293004304396, 1.6049690745413896, -0.8292413636913438, 2.7971333929567854, 0.5252521890542361, -0.4024919492624841, 1.7951285248808218, 1.6904921667156048, -0.4396158387877709, 1.862654527548777, 0.043320347584005714, 1.6596284031979225, 1.1965698284207433, 0.4927956111104508, 0.7026342603886202, 1.4182765767885306, -0.4551494400306565, 1.1927220678180839, -0.8141260987266197, 1.0711891967145102, -0.01887715972807613, 0.021220632140350415, 0.4122492060158526, 0.39841984301001054, 1.786066442964563, -0.3766375197824868, -1.0107113120936373, 1.6459184814687733, 1.4403304567370276, 0.7479663691863672, 2.337199755764285, -0.2666119221968664, 0.4040349470770637, -1.427389096669164, 2.0207813045483873, 2.332194313566581, 0.7790500519296633, 0.14313743806340912, 2.184010797460973, 1.8699035846227359, 0.4211478371883235, 1.4008626323754751, 1.3039138159204138, 0.36640631261981205, 1.182966571984149, 0.5458512951301415, 2.26357134728607, -1.3364594060499198, -0.1341051412044933, 0.8849526827916352, -0.08422162166778879, 1.9142040879386781, -0.08434622732207087, -0.26276735198217815, 3.0538044540123286, 1.1305357806128737, 1.2092902126080758, 0.5427779079418398, 1.3604379416200043, 1.952434081142305, 0.7527098644410211, 1.1051070713218776, 1.5032008813610584, 1.0733733124425255, 1.4898942298024678, -0.6368845818443726, 3.3147581455409516, 0.7373551175575886, 0.8725619495585919, 0.8894569330666666, 1.1603920487765556, 2.9910602082661675, 0.9139577072128673, 0.9196303396036598, 0.8069390902095726, -0.060245937274534755, 1.4000805809209227, 1.7663570567545839, 1.1623237161824993, -0.21170202233801183, 1.489332022962658, 1.2312350456543644, 1.645242197642945, 0.2512872466973094, 1.5297997959455918, 0.854542521106167, 0.9565630482014874, 2.589409360390439, 0.2771549974345201, 0.6105537097153537, 2.6183285176362263, 0.6000246321283569, 2.401967604696934, 1.58823085110153, 0.6809133244430673, 0.42701465618317336, 3.5640054995734087, 0.777136791963994, 2.009523098062399, -0.10672376614839718, 1.140269250359232, 0.811077611130016, 0.39938436206547756, 4.140777845756451, 1.2479807501603972, -0.24422020299548514, 1.8497524385528763, -0.6838158761032607, 5.09956483289481, -0.28238880244428743, 2.017731623656216, 3.2556724612740062, -0.17870826611211826, 0.5966456706637221, 1.587654986295752, 2.8913049225970227, 1.1369095201049246, 0.6054499637307658, -1.0930274695821016, 1.8882129218649437, 1.9667822575454577, 0.6180886771555509, -0.5303171883119626, 0.24699975800569923, 0.5243005928442493, -0.4093291789376503, 1.9045832805285727, -0.3454640531249019, 1.1484193008626402, 0.34337934939208364, 1.48600955315711, -0.6518126007130953, 1.281494724564845, -0.010531781181260635, 0.9496725536777458, -0.49911936089950637, 1.0204162299632042, 0.7521975148073256, 0.4265996916345749, -0.6260628977368612, 1.0435533342802263, 1.3745705473436733, 0.23616394126408147, 3.3912103347721825, -1.5816794229268747, 0.24104583095812737, 0.14364523482662706, 2.156694755386376, -1.1784617677927214, 0.17424940143138784, 1.2767000021416033, -0.30548554208163425, -0.4502392872520291, 0.5552590885065682, 0.17823618301759292, 0.7232658496567372, 1.8998661437522149, -0.3197156369244393, 0.7736177132197594, 0.24105851947533857, 2.062633958878372, -0.1824417998358009, 0.8270211230740326, 1.3274991898911304, 2.177824542630701, 2.7831873377394416, -1.960026750768481, 0.9877998203742075, 1.0072935947720498, 0.8348527857274785, 0.7043527871955156, 0.31088518589262515, -1.7040414632378182, 1.9415311948528486, 1.8991034946743992, -1.2610377072687085, -1.5714175607812675, -1.7282608567648456, 3.8271246941989507, 1.302819989521879, -0.17782977569134223, -2.562853123636274, 3.1052521944531986, 1.5557526508339998, -0.13444242005528717, -1.3390253855172942, 3.684934572976471, 1.2648359431979164, -0.6893331933790838, -2.152244129943926, 1.3287159841782712, 1.4811733809001468, 1.443248464313187, 0.24143473131463133, -0.13963221895993716, 0.7590602880983027, 0.6316399370090195, 2.5824136049418183, 0.8441341792884512, 1.9240077921651757, 3.196368801416239, 1.314616912516978, 0.8674043871695851, 2.60681919072113, 1.2074177880719383, 1.3991282940999983, 2.352394209513796, -1.4328445753148653, 1.5195215625668095, 1.1804764810839257, 0.9358980952672109, 0.33541301322208666, -0.5261162204762797, 3.325742574138445, 0.18660329288168764, 0.49551812631962056, 2.4992951803259364, -0.3661583505353796, 2.0152989148786813, -0.280285471750944, 0.683530840760568, 1.3119765225181002, 0.8192056158421255, 1.0575120270995502, -1.3893465475545987, 2.6180057740712632, 0.3264322134839601, 0.7502156470806108, 2.3867742950851247, 1.2773559093477054, 0.6959501007586829, 1.5546326383115998, 1.0801501509432396, 1.2060354782101121, -0.41997307810679785, 1.3288744182110042, 2.1724327706579243, 0.7662280686205653, 0.4498459267612649, -0.12051032858772409, 2.514058794338313, 0.8777432542844773, 0.670343285733255, 2.4119905318143067, 1.5565923802419923, 1.1302587159798871, 2.878820773489419, 2.4934188193083804, 0.6257052733766392, 1.220609878147325, 1.685419472203915, 2.9715162630093577, 3.1839274602361227, -0.07755749590509287, 0.8459302286763344, 1.1231743140256107, 0.34108906358252056, -0.3495658411781084, -1.1367958745463675, 1.7966351252258665, 0.1520814862102574, 0.16144525190623776, -2.374857169337548, -1.0013504014667327, 2.4007996002462573, -0.09832544221523593, 0.4887790846539616, 1.317721392002802, -1.5778088505196932, 2.2762951595402923, 0.47804120620441437, 0.5710212995528884, 1.832260507300997, 0.6965396256854017, 1.6293387636567738, -0.11275749994078169, 0.0009298947662610413, 0.3361126562333825, 1.132391814531622, 1.0186907447526854, -0.8533987840590629, -0.18342765820924156, 0.6833550054795257, -1.494120692850743, 1.9082039950791574, 0.2709580357479633, -0.05670223705292468, 2.0862764846768633, -1.039045642583499, 1.6137732948473515, 0.3549965337512859, 1.6248628777832639, 1.0976165494071977, 0.12449514302484663, 1.6305426792998976, -1.0239735854419136, 1.2726121415738412, 0.4786647829248652, 2.311788060540975, 0.8624605327472934, 0.7353184181980439, 3.0254186803669683, 1.0065418366556065, 0.4498703767505956, 2.2304188288622755, 0.3204055798719222, 2.321738145726389, 0.9369652408005869, 1.2050916091956458, 1.4888617641144832, 1.7323468994536562, -2.6961232888202344, 1.4441970875707897, 3.833115621749223, 1.1562018618163503, -2.4219361659173435, -0.33678158079496123, 3.9618853145259534, 1.227479531786395, 2.4036600635903236, 0.8677904507983364, 0.9689042419122926, 1.0658378346803357, 2.852606899887159, 0.21432173209747418, 1.6319710377295247, 1.4349410662438347, 1.047777588442745, 1.9699954190572488, 0.3888626994220992, 0.9641748926199087, 1.377056990477733, 0.4831147931457659, 1.7551514580941796, 0.3579348229148762, -0.7457748701474198, 2.867235092974306, 0.2386183663720861, 0.10173861492993522, 0.9917169952276688, -1.0827814317018718, 2.1730542882416732, 2.3130610139754273, 2.2744883552537405, -0.7360177374755202, 0.8194433822634797, 2.2072594259433833, 0.8975491726261318, 2.5689275196267527, 0.9719663557765779, 0.7016885403963069, 1.5841558207540025, -0.41400863463208093, 1.0321466299513085, 3.8527974901812767, -0.5761124670708359, 1.2712225027365178, 2.032373505591019, 1.8951507429058996, 1.9447123773499193, 0.35221461450924607, 1.3237187300172326, 1.4465965480899585, 2.0976783460093125, 2.4041701487408553, 0.5831611093113401, 0.05572798589707706, 1.4266256509409414, 0.21987946537006775, 1.9650923807642506, -0.19252514339775573, 1.6571908079710713, 0.9882943433193135, 1.1153348514569845, 1.1533627881206274, 0.12846332804498525, 1.6416218363956863, 1.0399807937013308, 1.6863039794133434, 1.3005383620518522, 0.8904536188428243, 2.13437106424315, 1.0319662438567065, -0.8288050653082255, 1.422801591485638, 2.787773764484972, -0.020780477957909826, 0.26073020121731505, 2.353038038723709, 1.6381472168021156, 0.48907168723969857, -0.8048586683315184, 1.3539858185332392, 0.3767624657794384, 3.39289445084711, 0.7119843365774207, 0.09202900070398484, -0.726504719401212, 0.8105047102725644, 2.513563848544573, 0.3540723808424451, 2.5691028968511462, -1.124686827939378, 1.2983373691128295, 1.6451536617380311, 0.30284859332431135, 2.7431220135094727, -0.13170084446561103, 1.7201204955104208, 1.3682868194617421, -1.0623838296054529, 2.6714048949303244, -0.32851669474576894, 2.317561617542725, 0.5608475894060865, -1.221400197126843, 0.4730821755438841, 3.2641389880671245, 0.21607810011200657, 1.280776581194387, -0.6533212485377282, 1.5156807258441642, 1.6528499056521175, 1.9087276232045673, 0.06410913955557218, 2.0441729600334906, 0.9039700386484792, 0.007788920425017332, 0.4716681487926536, 0.9671464597003974, 1.359444708945277, 2.0652804059799306, 2.173179243282032, -0.7825941153566118, 2.771599673946141, 0.6814869091641217, 0.0836136897216655, 3.3288900066126437, 0.40173474532878295, 1.7445890420930772, -1.8640116584958109, 1.4462228306846472, 2.9020518071251837, -1.3325899583536862, 0.8337036439303738, 0.8529778320947202, 0.8526391231659226, 2.189334457088129, 0.9130278412888038, 0.0897278462857507, 0.2445348871450561, 1.1273212548834297, 0.778832896270172, 1.5292871015441518, 0.9633169199457737, -0.29650933097553256, 0.21705172815358387, 2.772795950543678, -1.5047448874371196, 2.2337251502910247, 2.719677166622379, 0.8727239167362275, 0.9450568979169407, -0.30497007226843786, 2.5934934019538236, 0.46982016528132703, 2.0529777348932714, 1.9658981117314753, -0.20778259277787064, 0.783973304975531, 0.9758813441870579, 3.0453708005605495, 1.6356575733199816, 0.4020722097663105, -0.0207044494785093, 1.8571704023931384, 2.3990136259626595, -1.9100534086499121, 4.074008043437284, -0.6376200848241156, 2.2941838286979603, 1.4643629971588237, 0.237202421435909, 0.988583894748869, 0.16054733425564882, 2.38582720272014, 1.8907306573074785, 0.7114793178173994, -1.1764981875889038, 2.5594005548156766, 1.0808174854461226, 0.9679908922676222, 0.7067836385048567, 0.43162007433808064, -0.26058476309650436, 1.270770639424685, 1.52907312794503, -0.04933036825840731, 1.710305908486384, 1.1972259559546445, 1.6065581919823124, 1.4091633949676696, -0.9932746310546855, 2.9219102028205053, 3.349581635671579, 1.6616791669735558, 2.413438332632709, -2.1800961348493355, 2.9800709422813254, 0.3355991607300055, 2.279504726058033, -1.7349910107806437, 2.2840152674368897, 2.829598096990928, -0.42115101075997774, 0.33879480113349736, -0.10746184938076997, 3.257690998113278, 2.1785754538085413, 0.8015426791301633, 1.0068509168775075, 2.321297201751818, 0.9407695750293563, 2.591561707659851, -0.04276472155261457, 1.2274364956421977, 2.105249575365831, 1.66164804646478, 1.1107352779882822, 0.8161203317976619, 2.7245625884179105, -0.7589123026428604, 3.193096631036516, -1.2711896145220705, 2.700192708165381, 0.7381359116198958, 0.07116593227436097, 3.465559982616088, -1.6565295781438567, 0.2512906705293838, 0.8700494575324843, 3.6101525604215414, 0.7442597854135294, -0.1178558828216245, -0.27469755049240574, 0.140268552017917, 2.0578056290997724, 1.142834116835852, 0.29771125706431384, 0.16203903192969243, 0.4498023580211445, -0.5629574651250764, 1.5012955367398768, 0.2616386299468959, 1.1159528410647934, 2.4752847837534695, -1.5483888198258011, 2.6995077805268854, 1.4346450966120208, -1.0134539467156227, 1.234097144165998, 1.1965860377283346, 0.784022125960983, 1.6986135853971385, -0.7520039924980075, -1.191976775459056, 1.2978940417930467, 0.5415518550978986, 0.35422298608588704, -1.2141609507716278, 1.599735412731021, -0.2518682554362758, 0.9597905438147862, 1.412700675657066, -0.5319929128557869, 2.657925840621359, -0.8004242880852324, 3.982469258502003, -0.521402705117006, 1.0375079214112128, 2.575768665953862, 0.7533267519131608, 2.219988251874143, 0.03372226903700015, 1.30551421846004, 0.999996734161133, 1.9880699331168306, -0.6033537733499426, 1.3033836648668824, 1.488575898616816, 1.8865073265163144, -1.1076470803514895, 2.0530652281077195, 0.9857214889469124, -0.19358222160942273, 2.082429683488153, 0.1636697203763764, 3.560027361926535, -0.511102917444266, 2.0191710051877783, 2.2647376603635117, -0.06906960802563411, 2.540598283280978, 3.520339266138347, 2.898047444679425, -0.5383093430916869, 2.5785137959071553, 1.8328511702863999, 1.2575676157371691, 1.1956200489399404, 2.8061866352600626, 2.2472513946296813, 1.3002339271087642, -0.22607472673084414, 1.0395472844403482, 2.6236982635467814, 0.6151475667488338, 2.2767057848037813, 2.781292786733105, 0.16363119027456624, 1.4757851983382695, 0.8482224110467639, -0.10776988240762253, 3.2001283653465378, 1.9005476348377162, 1.2693317166055906, 0.7948196533439484, 1.1214394336614935, 0.6346218065435025, 1.0227421452240963, 0.5129409491200243, 1.2396056230224672, 0.3458464882078951, -0.014637046960309208, 0.7024196053148072, -0.6735778746499703, 2.734328227895297, -1.5267013368491618, 1.022019312891916, 1.9432270670807916, 1.0374408536360114, 0.7077189404395026, 1.1544113140288688, 2.4282332261383237, 0.8449421902081946, 0.9650028485360197, 3.200764916619771, 2.8520488706218945, 0.18954833566448215, 2.0684150007448494, 2.1602035215157187, 2.81753722451358, 2.330029996611071, 1.8919712482707292, 0.03655736189854131, 1.544999726006643, 1.0833529461046778, 1.3909445108210194, 1.3255121364025213, 0.6593620067533921, -0.4715692024847684, 0.41684658971426625, 1.0208875213948625, 0.0021318638224983033, 0.7741080884955249, 0.923027328148471, 0.16228018475634823, -0.4210799410587144, 1.8875144751472672, 0.9604368563797787, 0.4013158663876044, 2.7331767320737232, -2.573073544646525, 2.265481133389581, 0.591279991315873, 3.0249425860749666, 0.30402261991778473, -0.03804595571336278, -1.8265089505848127, 1.6134829924384755, 1.3835361781090185, 0.8751143843604338, 0.8935077203859785, 0.4920933127312091, -0.5565580646364543, 2.080795488647907, 1.5972669343207662, 2.714595162598955 ]
86
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Moving Average Process" ]
Scaled version refers to the same pattern but with different amplitude. You should check if the pattern is the same for both time series. If they are the same, you should check the amplitude of the cyclic component.
Similarity Analysis
Shape
448
null
The given time series has multiple trends followed by each other, what is the correct ordering of the trend components?
[ "Linear -> Exponential", "Exponential -> Linear -> Log", "Linear -> Exponential -> Log", "Log" ]
Log
multiple_choice
null
null
9
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
Identify the different components first, and then check the assignment of each component.
Pattern Recognition
Trend Recognition
449
[ -0.047016155446781095, -0.24049874838463398, -0.012247470349456724, 0.05942833110398314, 0.0058644190137038185, -0.05261161554702809, 0.130550232901106, 0.06840720523282257, 0.27526867500231567, 0.020275071057533428, 0.09587448529463426, 0.08430645462862055, 0.06490460713743881, 0.20542950341601968, 0.13315177773170012, 0.15845227809556878, 0.15720114457322307, 0.2461931646023117, 0.3255055029672411, 0.10090288963061189, 0.17391925137965641, 0.23822022424611589, 0.24083543429070808, 0.2982973840949241, 0.1640254554469981, 0.21226878196700447, 0.3259507229696993, 0.1919275070807432, 0.2669520488406871, 0.1722949019288066, 0.47889834812144066, 0.29048091901546, 0.41130560615824385, 0.2944992315439281, 0.3593866608179514, 0.33683437538184147, 0.40660069365421064, 0.40343431229383536, 0.2976651309950376, 0.30555811338730887, 0.4253001224015517, 0.5363759692479944, 0.3173411376959026, 0.3036273882741756, 0.2531125540835586, 0.4350841752391605, 0.3966250911620281, 0.39587897132455696, 0.4309709928886021, 0.4447056095203653, 0.4258955991049963, 0.47295248323434524, 0.49924897216831593, 0.5045391472141673, 0.4438209931057019, 0.46087482989431816, 0.3680392278026514, 0.3959087025957907, 0.5705327453211897, 0.39360742690187817, 0.3617288870852226, 0.5488841005501337, 0.5487625513569493, 0.5136490512823202, 0.5811680254902925, 0.3375106704812055, 0.5565968313264917, 0.4914451497710287, 0.4936622297037996, 0.6248988373381905, 0.6452262885191717, 0.47639085636277, 0.6349891302159564, 0.6875188292619632, 0.5606012781999649, 0.5781471946705532, 0.6125925677190109, 0.49484587910844713, 0.48011430792113396, 0.8474436823335317, 0.5810395020185535, 0.4308029259780354, 0.6482201575204637, 0.6792339844885416, 0.43003798825575934, 0.5794276812067533, 0.7124760526862631, 0.6990299943350102, 0.6162534025709301, 0.5501440225922485, 0.7655077966321036, 0.5398906860725952, 0.86521271016414, 0.7284220733711951, 0.5885381994928509, 0.6501981453992627, 0.6342018379572653, 0.7013869373419473, 0.6862272379881694, 0.7787325752957213, 0.7025408880583839, 0.6960881374051306, 0.685447997681289, 0.8041009853698581, 0.8419547729803827, 0.6157517602093628, 0.8287281856912598, 0.8748180365313496, 0.6861342758213873, 0.7301709542307111, 0.7301873284094588, 0.8101048668204146, 0.7047721888839941, 0.8820893694095828, 0.5376004345657084, 0.7668654413426309, 0.7573495658749967, 0.7271715828776745, 0.8385196711463117, 0.8009355282766546, 0.8237411308186209, 0.84594224960574, 0.9932980027959427, 1.0415071648295873, 0.7269978693623425, 0.7084644890796001, 0.7949938240770041, 0.7461908144114794, 0.8778689508236748, 0.828423842592501, 0.916427663987085, 0.8394928289638661, 0.913890025556615, 0.9369192813243437, 0.7830668784133978, 0.683003961391115, 0.8581025118971065, 0.8282846461774671, 0.9116902816160632, 0.9262065855637435, 0.829931192522202, 0.9557068232972488, 0.958614815188681, 0.7889717159491532, 0.7931138934441002, 0.9636070194928545, 0.8312459493269663, 1.0607524971585411, 0.8911996611896956, 1.0089015703376583, 0.8608245827849054, 0.8724683017460457, 0.7857217146684998, 0.8976103062659584, 0.8650515975372374, 0.7994219626713279, 0.94346068372135, 1.0923938328171368, 0.8866810780704937, 0.9399988443986704, 1.130194182395983, 1.010828422276278, 0.9308785454982058, 0.8559657332449119, 0.9328212977573228, 0.8997774593459471, 0.9174007084060392, 0.955981998389851, 0.9407375067301454, 0.8322887951930935, 0.9943840710751736, 0.9543438683662195, 0.955354683789497, 1.0170513714819454, 0.9643679565874284, 1.0483967315004967, 1.019207731696929, 1.014218767721513, 1.0031371710526193, 0.9468731582055028, 1.0919287939272373, 1.133587766652052, 0.986626136681092, 1.0901039689740362, 0.9860515413117333, 0.9292998583394112, 0.9718074217168705, 0.9495485755459577, 1.2059431528382736, 1.0285957935186119, 1.0676641506975557, 1.1581843338020494, 0.9813114729218735, 1.0084557337120723, 1.0150611974872032, 0.995634050692901, 1.125393412567913, 1.2524283387010602, 1.2025068777881154, 0.9407757744065168, 1.1620279031881653, 1.2456342457533154, 1.0305048273933173, 0.9839764064346388, 1.2212503218024189, 1.1219957649289873, 1.1629297136166272, 1.1368122088320824, 1.2047795809587585, 1.1763784597065037, 1.1427505797744768, 1.194759503146595, 1.22307725288072, 1.1780526183776916, 1.096785430028931, 1.1719781715582087, 1.2032774093650123, 1.1853712582609504, 1.2372619841343868, 1.2381304869006746, 1.1956809879111776, 1.148288052038878, 1.2220145460932823, 0.9997373024261074, 1.3396060810641877, 1.4008427782185686, 1.2163569030575863, 1.1955857952088635, 1.2279192091653102, 1.295128372904407, 1.341468723921245, 1.3032110410914268, 1.3712802561450936, 1.295868439996464, 1.4335110693590931, 1.298465001673581, 1.2085188888469922, 1.056960531485261, 1.223054104505895, 1.2524928660554635, 1.299377777085394, 1.2141503634759934, 1.2428162689303874, 1.0538549898928524, 1.385567508013939, 1.3851593226839696, 1.3368701662812226, 1.3066167000949447, 1.2974793947309085, 1.2713555292528298, 1.4198375032000083, 1.2203303276940645, 1.1083282602987525, 1.3126423174360815, 1.3809364944451368, 1.2895134942849702, 1.4094735843716624, 1.4604467909116217, 1.3235803082349766, 1.4955075496250902, 1.085228552710214, 1.2111240733469626, 1.4017945885386842, 1.3770562234140287, 1.2521364636082846, 1.300584449695312, 1.5420137248262948, 1.4497707514578702, 1.095921863727974, 1.2874807547398877, 1.318915820420701, 1.4225001126855135, 1.3830346569720164, 1.449076044378382, 1.370839881560525, 1.3647630167413964, 1.4068364538673725, 1.2899136085717111, 1.3920223609015583, 1.5178473828529018, 1.1609581557602324, 1.3981156913120412, 1.131873755307664, 1.436839018731949, 1.3806495269410244, 1.4572564080311035, 1.2877856390446378, 1.3244327301520484, 1.4776535296981568, 1.4991453290441163, 1.2730823481119535, 1.3361964954579848, 1.2827231818942038, 1.4772165665516785, 1.4288380416506694, 1.4566798180159477, 1.3972537800857814, 1.180336737683643, 1.323018292170767, 1.3825528598142733, 1.276761358135249, 1.1928289318683976, 1.5068584021569729, 1.3291617045308926, 1.4666370870263457, 1.5536364407016698, 1.3636192595722547, 1.4139165822511235, 1.49025783866622, 1.394925256075471, 1.4470347350497084, 1.511765920908731, 1.2554707581798419, 1.6108053610883997, 1.4755868349065495, 1.467040949482435, 1.4608343430094972, 1.6194183438355643, 1.3218554624776524, 1.5082084799936006, 1.5810334196840485, 1.5804591139489257, 1.546978888963412, 1.421854900653482, 1.5315119668690502, 1.5541758309051326, 1.4908134110134654, 1.4130257691804586, 1.4640604373466644, 1.4755031365201834, 1.400866731845616, 1.5541265707288523, 1.501884267203987, 1.6567786444456574, 1.400872476749393, 1.5040625715714404, 1.6237930765418938, 1.431236598015319, 1.3620299855585625, 1.5515099080119283, 1.319361477711201, 1.5647070630496147, 1.3044963350023961, 1.5341139306518132, 1.6299193712515394, 1.5076793737909928, 1.5352632975638139, 1.4893133167878003, 1.6707500149552046, 1.4631012288218452, 1.6880437935297423, 1.5749909934197535, 1.5838393468825664, 1.645967384551641, 1.4635503558671106, 1.5817076408394226, 1.446015577985017, 1.7210787907698706, 1.5586454092046893, 1.6146297700929788, 1.7745043593397671, 1.6681235933273482, 1.5550911170225594, 1.8170003514507185, 1.4584925063447103, 1.5208718252919473, 1.5915307472956735, 1.5013072975287916, 1.5936424556408708, 1.491601793226485, 1.5717600041120279, 1.4869112804444844, 1.4755259251705053, 1.681146796814259, 1.6521733973644837, 1.5046407124821555, 1.5682327955117423, 1.7399636873440987, 1.606460824496911, 1.5215234045216528, 1.5684720787927666, 1.5902334724815648, 1.4983333705539763, 1.6265461508712877, 1.6451912165876101, 1.6926905248442843, 1.6021681789057203, 1.534468069164695, 1.6495066447130347, 1.6479964317659659, 1.5339835617816673, 1.6816688943036142, 1.778801738752038, 1.757844376726948, 1.4676047373111012, 1.7331384803089567, 1.6225856724551793, 1.5636872299324325, 1.3469306968596313, 1.6858079501527565, 1.702033225120196, 1.5792440690248357, 1.5384449969068634, 1.6001757023974814, 1.7025696591278296, 1.7658087196169736, 1.5540679054906463, 1.594084394097644, 1.570070642670497, 1.6339768354927673, 1.5994161311100081, 1.575642075457692, 1.797446557482238, 1.476194593231475, 1.5426780299687108, 1.6442696376669004, 1.7231454597087468, 1.7614696596996189, 1.644552233437289, 1.7145743253701895, 1.4746710076935328, 1.5789915584888965, 1.5898999494705341, 1.7676560854723062, 1.714403330051303, 1.673939546603716, 1.6783330034777892, 1.641322488636581, 1.6902231400215135, 1.6830138674278332, 1.6262712414710663, 1.625023212485349, 1.694209540439732, 1.6018862266725589, 1.7536254725865645, 1.629514543294636, 1.5225829382878935, 1.6742050180617105, 1.7792778354020204, 1.770416856062137, 1.6043038513267287, 1.6322459988476103, 1.780834113704996, 1.7415867465223336, 1.6568243363524147, 1.6022544674546846, 1.7620401342820213, 1.5498196181492174, 1.4924305804900673, 1.8434236849241643, 1.6875061134874008, 1.7139935383922325, 1.7470706689846787, 1.8005679785638853, 1.672139374641854, 1.741901911437397, 1.7443516801869379, 1.7182579726652283, 1.5975039369852178, 1.7608418051416548, 1.788653254059145, 1.7468183414438678, 1.6919003183304029, 1.785023374989518, 1.8054501354245445, 1.8241599093281025, 1.8957010820353069, 1.7914148523989644, 1.797451449096723, 1.685608013626317, 1.6212129224558562, 1.8486212765111791, 1.8714576642871323, 1.8803189198319952, 1.7063583736773789, 1.7232105840807548, 1.645623976907357, 1.6025541591733758, 1.7466779421938257, 1.8996210857879432, 1.7483298688495157, 1.946264358896213, 1.7979637346759936, 1.7250819405530438, 1.786422125411432, 1.8802403483479857, 1.8842798866845603, 1.858756963256211, 1.6247864282517093, 1.7691224142105966, 1.81363137904214, 1.817376534257545, 1.818923626442055, 1.8230303484242583, 1.774884661176585, 1.696997526954383, 1.760823638906096, 1.766883952194921, 1.7957130254941305, 1.9583645552244728, 1.79038587411981, 1.7293088699568053, 1.9652432431478917, 1.6477770213484897, 1.6887929285754273, 1.8806854417575707, 1.613609908548041, 1.7418450135486117, 1.785322972107119, 1.7590654079316645, 1.7402589053556508, 1.83843669716206, 1.8346286692403442, 1.7684132604396927, 1.7008737285624775, 1.8060693252089883, 1.786754940975024, 1.8622557922952256, 1.7887417983368221, 1.8115652240255076, 1.9226079733395778, 1.9818751256425995, 1.8696705953418988, 1.7139346853978306, 1.722307214129136, 1.959245940219633, 1.8739145987569916, 1.8279290532578343, 1.9519393064592259, 2.0779053618004517, 1.8071305212161248, 1.93251676740514, 1.937635815051776, 1.7268137493496705, 1.866057911415021, 1.8874227386205926, 1.935347597255226, 1.8738441436945843, 1.8223911921186582, 1.7982520597629166, 1.8168846278504407, 1.8398683606883535, 1.8835117894389566, 2.022656455630766, 2.0529085504137274, 2.02709062946222, 1.7940513256227646, 2.104982972262432, 1.9339153275401977, 1.7703679519525086, 1.860894865620544, 1.97233786573041, 1.8993138056141168, 1.8143330688274977, 1.8924378225248353, 1.9106542414702683, 1.8986680651825976, 1.859765771623991, 1.8380518349113975, 1.8861087180451133, 1.9343064246004804, 1.9996744025984603, 2.0833773094450536, 1.980026390711299, 1.9444683854580502, 1.9181423560291826, 1.912936767325017, 1.8810384585325957, 1.957042083443207, 1.725688481505632, 2.0010465778356075, 1.8865376515660863, 1.833049617514804, 1.8852044847761684, 1.8516906330990424, 2.1736250867477827, 1.8881066400084607, 1.9499725878145386, 1.8492751866457822, 2.0269850438833035, 1.813367979923271, 2.0355848297918238, 1.9713834039787212, 1.9728228125968157, 1.9972962193847543, 1.9151341928859216, 2.0118545311330274, 1.9139711636114012, 1.8848184955829426, 1.8587702571659488, 2.0538797714703136, 2.0667088086286305, 2.164302892133187, 1.927508524082843, 1.9105120930570165, 1.90052089083404, 1.8041866215716957, 1.993650014916319, 1.9804654152158017, 1.922677158065739, 2.089273700301075, 1.8766966409774564, 1.8630404314222786, 2.049994143815911, 2.0682695839278797, 1.917614860948323, 1.6583175756665627, 1.9494949076612982, 1.9057470777489276, 2.1910651378549577, 2.1148671060520154, 1.949084139403368, 1.9892799048866376, 2.0567914294019936, 1.9985264061210835, 1.9779695397434844, 2.086273751338115, 2.118494594611797, 2.1357090784616326, 2.0555959199363594, 2.060217967699794, 2.057959847367403, 1.9881320422238724, 2.0315706095091426, 1.939266717168217, 1.8573303884245607, 2.0239699027684823, 2.1569197881336897, 1.9650451261020399, 2.0569430411943745, 1.9172685548169326, 2.0908864564398812, 1.9801425910135861, 2.1474212085967603, 1.9437662061226622, 2.181520642631484, 2.1188682140605697, 1.9525366470785974, 1.9523992986214693, 1.9632215950866694, 2.1491162205786547, 1.875746070681867, 2.0612665438831654, 1.8614774183108893, 1.8802010076116034, 1.8649285440923011, 1.9651865461931628, 1.9248257359551375, 1.9377637836644832, 1.9500613256475359, 2.0201453893154713, 1.9543464549532117, 1.949096668357259, 2.2684468750336273, 1.9888972780114296, 1.8358379160951592, 2.1317674526496777, 2.001842824164056, 1.956817953768002, 1.9486308658563387, 2.1022280479507245, 2.076803261439758, 1.9909422206608884, 2.075233577102385, 2.0732463127860026, 2.085053533709132, 1.959146563191594, 2.1331494618724656, 1.9683531140419745, 2.0631099190056457, 2.0228576714035498, 2.0657792949859375, 2.1876063754667316, 2.0759941540482623, 2.1605167734434603, 2.0859370532175734, 2.2555288743028723, 2.1175121090096503, 1.9278438884864335, 1.9776126329872148, 2.0003314062637454, 2.0437942524362027, 2.0092598044169394, 1.9335894213723779, 2.071389984393855, 1.8643540268199388, 2.253138635235951, 2.0725500917811397, 2.2449553513077354, 1.988134317396955, 2.0739644727391835, 2.1837233461341548, 2.2784357417650787, 2.1463658761293383, 1.9643897436523705, 2.0891254178942313, 1.9780372731564908, 2.1892501955357235, 2.145020317480512, 2.1999698382845505, 2.1531487980221353, 2.133151740500774, 1.9702114516724667, 2.0703673227566615, 2.1735932763924963, 2.0207850802063554, 1.9892267833605528, 2.1892266431726592, 2.111516184121939, 2.2194449967897487, 2.083210503063674, 2.130401929068555, 2.091173384977564, 2.1395710660210496, 2.312579300328828, 2.2391194302879676, 2.2253956778129687, 2.0190029717588875, 2.08645947287219, 2.130575572634312, 2.0805103083163434, 2.2011389892816213, 2.1914096038074895, 1.9875249147545695, 2.111387370497985, 1.9868675865383727, 2.0357353131179736, 2.1927865444821357, 2.2298906717599105, 1.9218736191245085, 2.1482224341881127, 2.2423868518616428, 1.9659161358150652, 2.1319382938246214, 1.9378884529553004, 2.1400956728345393, 2.2746438673206955, 2.170687311179933, 2.0981817121796937, 2.2515611440544236, 2.057804428692157, 2.302705810167535, 2.1657010476048244, 2.1083265766200023, 2.187678411654117, 2.1958341479372865, 2.279029135927821, 2.210201250256449, 2.2453106926358855, 2.1476634087862196, 2.1118716135893574, 2.155611963378921, 2.246732475602508, 2.214560913414978, 2.092028170067424, 2.056815801020397, 2.2316747429047386, 2.341551041859974, 2.162096141104063, 2.268160187762953, 2.0508828645403505, 2.261312042546018, 2.1533528893248155, 2.236549320755448, 2.399040968276115, 2.252035047985951, 2.093445490266397, 2.066091994343615, 2.0027399335102842, 2.1824158855366314, 2.09766789443747, 2.0075423282345977, 2.304382472511518, 2.2017309418036204, 2.2207424431544696, 2.0890772278383394, 2.27698794128952, 2.154106832672671, 2.099972025043825, 2.233311247527843, 2.147046391640775, 2.337336019267264, 2.216342580080561, 1.987820245243968, 2.251638074178751, 2.466600969934577, 2.1104802745222475, 2.0440881705946365, 2.391809641559647, 2.1244852212915752, 2.2185602131282285, 2.073145004470402, 2.1300412079473516, 2.1725300411088906, 2.2390055593241276, 2.1154086641300034, 2.225253940709185, 2.1115586493383365, 2.244829916998725, 2.1880481440112702, 2.202367983422976, 2.163740866812588, 2.2965740337705607, 2.301586236292703, 2.1862298048117323, 2.1815323926891197, 2.4131376813993506, 2.271417239589484, 2.2902872132449055, 2.3632295705510495, 2.1960366030396683, 2.3725067335822443, 2.0351434274345426, 2.4059846265597633, 2.164664963729109, 2.285595964017363, 2.3015251289869245, 2.1843142787498753, 2.3348757934325564, 2.3271891658119803, 2.234059347262713, 2.1450149563587484, 2.3850105417671057, 2.2743275910110574, 2.3643997383349, 2.0094234394080503, 2.308550519062149, 2.1946227777462664, 2.2389584818433392, 2.3332295710222177, 2.060127484000541, 2.180774869025152, 2.289015773014165, 2.0843698283416154, 2.2848026691390904, 2.13539820510249, 2.4357904247597766, 2.3131850625985177, 2.33060811530058, 2.1584084266102685, 2.2618005818723415, 2.2246958045050405, 2.3097716122271277, 2.3355273710598197, 2.252053122942501, 2.2760147823388426, 2.2403632861513545, 2.4456013403562915, 2.155794682248704, 2.1315491864143037, 2.3004005347597936, 2.2092085901429805, 2.170101289347116, 2.3117061905672798, 2.16655729329236, 2.287966607118932, 2.2535893140803838, 2.2679758240289267, 2.1896413044160035, 2.1884221236955237, 2.248195296595888, 2.443206313406085, 2.127814673937671, 2.328608127881473, 2.1680765478689477, 2.301376682160951, 2.287442365272234, 2.311957207135316, 2.460964452963479, 2.3807863811227943, 2.2835435142064955, 2.4395422709686407, 2.1971385492559756, 2.1782387383158, 2.466789076917509, 2.3101929497427847, 2.3714977393688916, 2.1940994698501246, 2.2388625149031522, 2.456529768628081, 2.1048181547204674, 2.3284668084451314, 2.429433497768412, 2.1271314626062026, 2.3068936850609676, 2.079261098627183, 2.2890107482197597, 2.3369985356030956, 2.3326827950239792, 2.4157976001458086, 2.3283175571630217, 2.332531515367149, 2.355340379223647, 2.2798800184183725, 2.320059103938321, 2.1895271300185133, 2.676451563596408, 2.3632036604719278, 2.2481629844770348, 2.472866889993836, 2.5245360051676036, 2.2668519497512034, 2.2599979590107657, 2.5089874316366876, 2.2167583683403893, 2.3778548217751756, 2.3005375590773127, 2.4259612596704736, 2.4010932261564633, 2.352727462869958, 2.366975925824016, 2.237329597340154, 2.3379323775915895, 2.331991873315486, 2.2751025030200713, 2.2749745189274515, 2.2577697859156016, 2.4308540731917785, 2.3477435374107016, 2.238181651708021, 2.4274713439539406, 2.455318965033141, 2.3123509637820914, 2.275745359465856, 2.4807184382457446, 2.5261652365000815, 2.4664817298701878, 2.3412374600015373, 2.275414254218641, 2.149667489752787, 2.4717998408705455, 2.202175859988266, 2.26615008731672, 2.308810964226404, 2.4125999239363116, 2.079498331038879, 2.3652625706195445, 2.5299076369887423, 2.294104746604623, 2.43089683750991, 2.3130146320484526, 2.3896814736625225, 2.3478389065555265, 2.262548036462043, 2.4139902955850947, 2.389338994441967, 2.371885957179208, 2.5178881834029307, 2.359950305454732, 2.4057002400723917, 2.2986677374277393, 2.4406390656263786, 2.2526114142108025, 2.3843341213341547, 2.3281148220977155, 2.41756114313634, 2.2969330431839277, 2.4233775441849623, 2.3789896101417805, 2.5129297779535613, 2.204033616351655, 2.286370904681025, 2.3241728526183527, 2.4086281971408323, 2.4250633440531932, 2.4411378646380566, 2.406107387919042, 2.380715497446295, 2.3345710723806063, 2.4643597630263727, 2.3120581338797854, 2.4295937756979797, 2.408577302684653, 2.2353583386552396, 2.4332795874249853, 2.6569111934489524, 2.5967597960375395, 2.507786267190445, 2.4580308360954435, 2.285010047330714, 2.439760982551221, 2.6106047334982674, 2.346448453310956, 2.245988857489025, 2.492321218191087, 2.326881356196796, 2.299283131939893, 2.4404385686902637, 2.49424422538426, 2.4215284915810558, 2.4957111482084544, 2.542561512425422, 2.4581276824439717, 2.4710618271771283, 2.3824342812814403, 2.6019650989718945, 2.4669626661015274, 2.464268783814321, 2.386143072062642, 2.3474087643987525, 2.3405876592197306, 2.3804682464507696, 2.4250067542901754, 2.4560442012947434, 2.2450067988481393, 2.5553019957552716, 2.40803587121627, 2.579575255445875, 2.4792706547553336, 2.4603323387503044, 2.5441821407998826, 2.577572844520992, 2.429199158015945, 2.5775724538234384, 2.4429722492749844, 2.422106666726748, 2.4131567065998536, 2.3054986002385043, 2.17352896006961, 2.3732711828205946, 2.4736625127137324, 2.492782455400642, 2.2593637978663224, 2.496043125554136 ]
What is the primary cyclic pattern observed in the time series?
[ "SineWave", "No Pattern at all", "SquareWave", "SawtoothWave" ]
SawtoothWave
multiple-choice
null
null
15
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave" ]
Check the overall shape of the time series against the definition of provided concepts
Pattern Recognition
Cycle Recognition
450
[ -2.1550539527145234, -2.267417976632928, -2.386291792513658, -2.251177035828529, -2.209654751962062, -1.9459897465114158, -2.0358781260735723, -2.0928386470583824, -2.0302402040335727, -2.003638296730444, -1.9406327726795438, -1.678410316786997, -1.7969575714970714, -1.5896293206412908, -1.6432704246205159, -1.7250866092510333, -1.6655414427789859, -1.5606969201295462, -1.351507540960997, -1.3675877174409574, -1.524579941733732, -1.3495251667877262, -1.2274070994515036, -1.1604026589728895, -1.274090605914112, -1.1570435034304751, -1.0235412305401708, -1.069936642486171, -1.0199935708572792, -0.8749149278678444, -0.6930066890603716, -0.7185154630171384, -0.7556515636412946, -0.6040565162405578, -0.6253941562693933, -0.4601137853852999, -0.5398723655348107, -0.4634089786088359, -0.34189770910261275, -0.21836227407708625, -0.14927334448728957, -0.11110412436251207, 0.09005891001435093, -0.03110048557480584, 0.028409511792155798, 0.035620706080177617, 0.026840656964387227, 0.15630368511716347, 0.21482999457633925, 0.252804876052888, 0.30364786939540644, 0.5246378251710236, 0.3274700763339565, 0.43458680546609635, 0.4786264736161201, 0.7119831863012815, 0.7808951765943988, 0.7025980421886293, 0.7029221907676597, 0.8126394507706954, 1.0483333813261386, 0.7559873083712614, 1.0012992506789529, 1.0278684773587288, 1.031889850229922, 1.2100232724822892, 1.2094548203129714, 1.1838422911484252, 1.5064456358745106, 1.2839382186156771, 1.4479959023504996, 1.5074751572671694, 1.609358012975743, 1.58012629136083, 1.5983326392777004, 1.8343378663246916, 1.7056976966433288, 1.6364128086585052, 1.8724371043399084, 2.0655459202361666, 2.035270785800427, 1.9732175218985155, 2.161649964872929, 2.152474799144926, 2.2232666347405665, 2.182839892094721, 2.384051466866693, 2.421186057548789, 2.3642283688777717, -2.317449449987459, -2.352010334220307, -2.1880097744927522, -2.357838751385218, -2.0949999948523517, -2.13891549984237, -2.0683185223637697, -1.871720541577904, -1.9578253524387035, -1.931654223701466, -1.844320828199726, -1.7278807238524394, -1.796476165249357, -1.8084096570485775, -1.71564703273178, -1.5987107011881843, -1.5844330157783528, -1.510137792233283, -1.3589978460553607, -1.3200407112155186, -1.4546085270465592, -1.2311646457507301, -1.05236135956736, -1.1531408976846327, -1.145442355877217, -0.8067429104007173, -0.948480829837013, -0.921715756975924, -0.7921734585359335, -0.8539555640974287, -0.7917187394540299, -0.6984425519889317, -0.5219869019114527, -0.4430404993197583, -0.5476240310095206, -0.5749389958746784, -0.4346048622926764, -0.3872315257818617, -0.3725090244288199, -0.18098647461280823, -0.040256226847810384, -0.006071850739979567, -0.08652820698287343, -0.11749901254923406, 0.13328059118581484, 0.026553230475735976, -0.012752000423687404, 0.3378566454166806, 0.17448899564904458, 0.40383352191045896, 0.3277214937339694, 0.29926547661490377, 0.4020307498073281, 0.1823293934070121, 0.46489657813572455, 0.7158409538244875, 0.6697194710414828, 0.7653060332565489, 0.8919668654719148, 1.0024752195646258, 1.036743861812809, 1.0835789783103997, 0.9186818399827927, 0.9443715119754821, 0.9672204901357578, 1.221095154726055, 1.3643628492481756, 1.3291834503220443, 1.395855246382099, 1.6077747064987584, 1.5303551077763111, 1.4956491234974956, 1.3944551074041862, 1.7783936275537258, 1.6875220278989853, 1.819132319201311, 1.6298305141030105, 1.940260429583851, 1.9203573246208794, 1.7817084589478827, 1.919764178413646, 2.006791926296101, 2.0747965204504375, 2.0867119816615936, 2.2447896798104447, 2.3891605425353446, 2.4282987438924946, 2.3957313188663214, -2.3702633754931166, -2.1096961666666276, -2.309557341737009, -2.3946084010182624, -2.2101326322162693, -2.145755059455891, -2.256073843537993, -1.9888988314568843, -2.040587437015389, -1.8359599413133507, -1.8855549172950905, -1.8311001929467363, -1.6677945679502961, -1.7707987933680163, -1.7794691474265358, -1.6048341464590068, -1.7057958530063044, -1.578349494785207, -1.3235382354030931, -1.433994670241869, -1.2928335928364951, -1.5025510355661547, -1.1406107317335492, -1.241327573055465, -1.1588629559259864, -0.9474032903046816, -0.9677725848516473, -0.9444678512543725, -0.8628214365060268, -0.7607484042641612, -0.7743159445382366, -0.6904907866298915, -0.7849322436915456, -0.6857580125902754, -0.6203201336248108, -0.6213489118731305, -0.4015281778542873, -0.28010520573865955, -0.2866604803652044, -0.20239411562782353, -0.12241761944544753, -0.17755666590637714, -0.13597342705037724, 0.0835871416127359, -0.10847472953561588, 0.10571175369197744, 0.15173236279723823, 0.07986325829250224, 0.3660362417640273, 0.4307153670623694, 0.4426884717928918, 0.43618698623946206, 0.4373220452518124, 0.5358639946930571, 0.746108726623034, 0.6496443544042064, 0.6679552602951099, 0.6364909374631637, 0.7497722741432561, 0.8144556476155626, 0.9441189028310715, 1.1103168068738554, 1.0953079186296548, 1.0062672301162523, 1.0881667736250737, 1.1091024131130909, 1.3373665078064683, 1.4411256898269493, 1.4021815507892421, 1.4217157929444313, 1.365137228082339, 1.4681134161898164, 1.6237854392044149, 1.6193082404199048, 1.6458722108764932, 1.6995236004219598, 1.8628013159444479, 1.8875067204646805, 1.7494991479109212, 1.9239512095071656, 2.0739660747721325, 1.9824569460048418, 2.0433127835623788, 2.331378963852594, 2.4810346649437123, 2.3903092141342723, 2.3344982606846134, 2.4316125907671764, -2.2921997214071625, -2.556642608399639, -2.2622718316059, -2.1757619554630243, -2.1858006304094673, -2.280323060187627, -2.0759441331941404, -1.8901052529597506, -1.9635924629172605, -1.974044990662458, -1.7287113728797223, -1.8580726963568772, -1.8600875183976326, -1.662472226021747, -1.7190919451118607, -1.812125519391244, -1.5954159084440882, -1.5173914412445402, -1.314677620416547, -1.4750720110616713, -1.2214392587607297, -1.2613486413070814, -1.373691100857784, -1.280249486650375, -1.0243321221226092, -1.1076712286543584, -1.0602798853113455, -0.9946863719304078, -0.7997900573704262, -0.8733420229588968, -0.7782857567847781, -0.7069304648571623, -0.8307063299110387, -0.5278758843353359, -0.5884847945896529, -0.3316773550075625, -0.41634975906083205, -0.35614219685343823, -0.32405864622592373, -0.443445144422125, -0.2395606924939277, -0.18188898445686164, -0.16682419550344404, -0.05342794745012495, -0.06725009810357105, 0.03766838287988651, 0.12636408359503365, 0.23037468616854975, 0.24625805663126016, 0.3001808791794181, 0.46232003771699137, 0.45494166757564175, 0.38696779760539585, 0.4692246441328422, 0.37202584916809195, 0.744641815351277, 0.6377459728276555, 0.6410882443005379, 0.732818781931937, 0.9096140214857696, 0.9114254606647304, 0.8183468778892204, 0.8618513874019799, 1.2013619142918066, 1.041378304839192, 1.1357429030101296, 1.2833651551604621, 1.1648666546389108, 1.2690857975001728, 1.307062325782649, 1.5622738124256188, 1.5221178051068627, 1.562121350426299, 1.5409793434337176, 1.926078187035649, 1.6590400535287821, 1.6553232685163035, 1.7916886750534895, 1.8450558438468465, 1.9359334905381984, 2.098891022682648, 2.2461807468097255, 2.272615192552264, 1.975530142735166, 2.2415785785868656, 2.3144901365194706, 2.3394253551738586, 2.4335773998811834, 2.5810963063641252, -2.424065542115267, -2.4427904700126697, -2.2962076124348147, -2.521352843202822, -2.0819462953030428, -2.1815806643731186, -1.9873886746216791, -2.018976353693048, -1.975332378127551, -1.8444385856527505, -1.7758295703242957, -1.8645781378841777, -1.773842643251985, -1.683983156456794, -1.5657312221657764, -1.619207250014562, -1.6011539790620497, -1.2284452503525793, -1.471608580209069, -1.3672528585759465, -1.2128652645686124, -1.2362898047933628, -1.3151313590873466, -0.987187868822382, -0.9999196280772401, -0.860874628550544, -1.0949742025447045, -0.95954478390016, -0.7276417866132483, -0.9663177257964176, -0.8349541199784671, -0.47796027219217296, -0.6102823269301303, -0.5704876785499766, -0.5930391585529955, -0.3241021365232224, -0.3184830504159128, -0.334296099022207, -0.13375821519837958, -0.38028473150889647, -0.1477138508838028, -0.19382330827364402, 0.16374071427007963, 0.006779523245544858, -0.11075291623991068, 0.07109831679711365, 0.04602647157601737, 0.27309469866872194, 0.32503129087427585, 0.23672729001413273, 0.34997346256614, 0.34624255146487876, 0.5138490750629495, 0.46872117110062594, 0.5858607602106732, 0.6917168459803669, 0.7242082124097815, 0.7343688432781187, 0.8611888735614075, 0.6757766147712585, 0.9153697777845505, 0.9209903524659053, 1.0053666021259133, 1.18125336411435, 1.2849155400560248, 1.2976648408502731, 1.3691553701301067, 1.247587851468805, 1.177480239633221, 1.4716279543891175, 1.4214072196415473, 1.4660357918050264, 1.5217697597825002, 1.5238452817122583, 1.7774827037801237, 1.8551084862708809, 1.675237396930129, 1.9907391056361197, 1.9068572575442941, 2.0707040910820673, 1.9420653931935772, 2.2787301976112206, 2.0752138313130724, 2.1812711606367707, 2.244970914013796, 2.3034842852810216, 2.438704450038425, 2.2466520903828506, -2.48564325170768, -2.2935896918715213, -2.3675298132128253, -2.4264510892160844, -2.2927305390891455, -2.025507483523713, -2.08715501949992, -2.0412001805930373, -2.1010840531462076, -1.8340685912611938, -1.824163046160657, -1.8479711831692762, -1.6714289168840044, -1.8131516365685656, -1.5691723235480526, -1.640023153427914, -1.5486579633273856, -1.6012425849434135, -1.4533195898892906, -1.4901834956056281, -1.377323935671785, -1.360031238115616, -1.086450415963107, -1.146493008119435, -1.067404345982408, -1.0363714627804257, -0.9638415922295915, -0.9632684345798128, -0.7124413800972615, -0.9392905248285421, -0.7338749734505766, -0.6566500484450399, -0.7006891057780338, -0.5122922607746192, -0.5639182327447196, -0.6538285593552052, -0.4215185753177572, -0.4061298575130524, -0.37601966816209087, -0.11126279408791831, -0.3210116372527082, -0.06767281897927388, 0.11083197585321303, 0.22689570748132887, 0.2368496128760559, 0.04443142403077199, 0.15480940871818233, 0.12506232132536382, 0.3724607089646044, 0.4796495839678713, 0.2807993303371591, 0.5486661208772045, 0.570196491285467, 0.6519071519100679, 0.5824022665548928, 0.5182542695996817, 0.692818925877005, 0.8894669119022803, 0.8618568736777583, 0.8667456142772565, 1.0024273551760663, 0.8792154446593744, 1.0657443300440361, 1.0988048824034982, 1.0515231874598865, 1.2171901188556036, 1.1794711969123253, 1.1571644199238844, 1.4742822726885236, 1.3409016614299307, 1.4689864268583934, 1.6655754159576237, 1.4170512963890878, 1.8062701511187897, 1.6000450094963472, 1.705637032168797, 1.8975601722870632, 1.8410241938366891, 1.8891598012868347, 2.1179144519485362, 2.088896328510591, 2.13878658678471, 2.1429890478733284, 2.2150260071872836, 2.107642770758448, 2.312214882712761, 2.5062224066448437, 2.2912254597677357, -2.369206179136729, -2.378026725452187, -2.4257921822630566, -2.4831210350617137, -2.1244070727248716, -2.0644160033782257, -2.2725473021173572, -2.084922060636278, -1.9265254070302176, -1.7881660928461263, -1.7473101735639067, -1.8487398420118493, -1.736078566112869, -1.7071852897593776, -1.64229677613285, -1.4791130485065662, -1.51603239379065, -1.2736141059162476, -1.2402261468385418, -1.4380691083573425, -1.4012401254555433, -1.3649426005833931, -1.173496473031986, -1.2928200779708967, -1.1588075514407659, -1.110645914822081, -0.7417311383254636, -0.9901888017137156, -1.069277806503858, -0.8289606822946881, -0.8539407327737868, -0.655282669470218, -0.6704854374862866, -0.5810683375356801, -0.7069764655737865, -0.5147632475519445, -0.31442227048645033, -0.42365066925932704, -0.31448497854146085, -0.23014398204231315, -0.27288685918939143, -0.27168869328931367, 0.15694707189703294, 0.022437784064025232, 0.0013280499188194402, 0.20347483546458855, 0.14908144067298446, 0.2561208521650146, 0.2977700772533174, 0.3923536081127228, 0.23903654643111094, 0.390849573072088, 0.553226854883014, 0.5159126882173278, 0.48046449221069687, 0.6042157398635944, 0.6868886618186468, 0.5856478996490566, 0.9536820549033147, 0.7298464217158983, 1.0249270134767592, 1.1215499735206431, 0.9364326295983962, 1.1532811894352406, 1.199982069674096, 1.1788352765468184, 1.3856103092845278, 1.3622931279827093, 1.3955265522228617, 1.5770148554050623, 1.5418654010791968, 1.524095441613931, 1.465566956370453, 1.6321475825441778, 1.5388622002975256, 1.871033955668677, 1.7866047559932339, 1.816890698896394, 2.0074048619070863, 1.9553078586564465, 2.185330134346437, 2.0148574222107913, 2.095700052252896, 2.259750723303539, 2.489920345189272, 2.324556552873848, 2.2481993765270385, 2.1904278205778343, -2.365428070944448, -2.470132268831503, -2.3187785457861088, -2.4282145185591455, -2.0419119330124245, -2.335505097450107, -2.333121432265209, -1.988263101845209, -2.1832180874729916, -1.8745072969137653, -1.8867330246936498, -2.0566654908043946, -1.6577170401725076, -1.7623337834375663, -1.7282436808338675, -1.5956133403127553, -1.5665979676529345, -1.5558213246790724, -1.5645866043589074, -1.4340384535276178, -1.4493552950392503, -1.3378040822702641, -1.1641481152827666, -1.292158191689072, -1.1505463663269202, -1.066204683278791, -1.0318710446690527, -1.011661040862014, -0.8662194029072614, -0.7561980543935063, -0.5525016473367357, -0.6529211161473024, -0.8193948321371056, -0.5502996694756724, -0.6553523754993485, -0.4891787610016851, -0.46775302985319217, -0.43356880443196183, -0.24786680412076778, -0.3495052490745326, -0.05407575039998741, -0.22990112541694407, -0.008691967296709999, -0.016153526420714576, 0.10700920033407002, 0.03985436276035822, 0.19109185335591689, 0.22632899276986573, 0.14284836427828035, 0.18803888808097652, 0.38674989731462306, 0.43005480380784317, 0.38344509242099334, 0.5585642173879648, 0.48574715999465357, 0.6727242193228773, 0.6019698382191208, 0.6483066063955463, 0.7714728818635177, 0.8150324150548822, 0.8359338515425399, 1.0078517131068543, 1.0807570168104257, 0.9679250972872706, 1.050306202903225, 1.3231560145348926, 1.1855265175447478, 1.386338904560867, 1.266125340528919, 1.3171653761396225, 1.3787367616590454, 1.4523502968542308, 1.6346031092635787, 1.5432994896060919, 1.656738002351936, 1.6178266496344886, 1.7580111628455288, 1.7313458689674883, 1.8510278092968393, 1.8650640985752605, 2.028552608484457, 2.034097854530683, 2.1428242926591987, 2.334721971401965, 2.196801219615722, 2.2658586939767034, 2.376220739562656, 2.525769000853309, 2.438944832437158, -2.6975630165083055, -2.4812922956185, -2.529436453958695, -2.193311774072191, -2.2928350802146897, -2.2248170894424955, -2.1971100962132883, -1.991671064063528, -1.9705901917284323, -2.039765309820143, -1.8776466779665686, -1.9134592170493248, -1.6855412184644674, -1.657399229442198, -1.5779521657940772, -1.5911851828226629, -1.5469216689408656, -1.3930003351667755, -1.452325325152707, -1.3316163819675406, -1.2784645239159673, -1.23968352337792, -1.2621473717298244, -1.4049247314222957, -0.8639089554452861, -0.9877361182870443, -0.9915701554126599, -0.9261757580769422, -0.9559967517015551, -0.9429349381970561, -0.6858872017578929, -0.5907285067806451, -0.7199604779928332, -0.5131220363527721, -0.42720459243227593, -0.4518463675706302, -0.5843452255374788, -0.4419456867075615, -0.33379320253405054, -0.31221764442219707, -0.09900217950383033, 0.012205057996686614, 0.021589798168427363, 0.12879639961736858, -0.03823579575936509, 0.17682113196413074, 0.2210858359159475, 0.1916669721477695, 0.39753993986313396, 0.19701558016727622, 0.22264447455693032, 0.23972283696393304, 0.44394863017447017, 0.6037287798747147, 0.524013078000695, 0.5808295703266755, 0.6699060173136969, 0.6144634641251148, 0.8015462380795465, 1.1100732371086213, 0.8102450296237936, 1.0379515289933565, 1.098910695911443, 1.076350020666893, 1.1858531078773813, 1.2472647204437814, 1.2273972767070391, 1.3227274319293678, 1.4846245243975777, 1.4963077626251744, 1.40316984493477, 1.5802324891682256, 1.5243981221230998, 1.6069173604714824, 1.9378046388115187, 1.9234092757439094, 1.9325206781471331, 1.7968563214975595, 1.95121615286685, 1.9496238737265716, 2.1649371688183767, 2.0973609578194052, 2.160274028908078, 2.3847157059146324, 2.2424973729063704, 2.1349336947937707, 2.424662024801501, 2.509787525287946, -2.354237157984622, -2.337385302076768, -2.194096415671458, -2.1876939315849344, -2.1528664879256163, -2.1945294188179134, -2.3505032630725298, -2.0658433959888485, -1.752563860493811, -1.9517783400245585, -1.8366025465206783, -1.885923971538988, -1.6752468862720202, -1.7136621405605967, -1.5776893989534586, -1.536478263652591, -1.5634734686419762, -1.4241428843808404, -1.3406871219787158, -1.5737139089584147, -1.3222002949701555, -1.1464290794580307, -1.2145544401200632, -0.8661624110728694, -1.1704562325367087, -0.9729455858777402, -0.9849080334320199, -1.0900528118966002, -0.8054479661788838, -0.7720696368852842, -0.7728909870281282, -0.5817648417275696, -0.7918189842880596, -0.6458454899422362, -0.5826706032508087, -0.4857067951083846, -0.31524801589265133, -0.34088557817865645, -0.1591622480638088, -0.39737994388728426, -0.3083278570338368, -0.3237322995693141, 0.012807813579811894, -0.25407500464261434, -0.10779833328478769, 0.06600304758982373, -0.11357749697621428, 0.2068528484638481, 0.36794660145369185, 0.25542879714215727, 0.4090061886653451, 0.5937558235012252, 0.5098972174079344, 0.6448230121128469, 0.5352825582112735, 0.5965056288666339, 0.7346090739641647, 0.7940996524071011, 0.8715191909733417, 0.9634920454415544, 1.0260711201472381, 1.1340253271738545, 1.2111851415392794, 1.061034678295112, 1.1595049419108314, 1.226613759962545, 1.354764043597166, 1.313956239080959, 1.2815451730954108, 1.4605841528094, 1.6993740329269298, 1.4044961359321335, 1.5889194812113963, 1.7000004096507493, 1.6098335719438037, 1.8848918292148265, 1.7227195150574859, 1.9076011254561527, 1.8614130634932045, 2.0334172860032855, 2.0168076541098987, 2.035337905923117, 2.2504348443737636, 2.3001543476355883, 2.220726198194462, 2.494009430724685, 2.3810750872592585, 2.531466711460316, -2.515499772935795, -2.4494553600927076, -2.4056460725287985, -2.23845077995543, -2.2860953010668723, -2.1649848499187554, -2.239524623134927, -2.0537981321204857, -1.9362827516459686, -2.0815382006619423, -1.695899158178638, -1.884303779539952, -1.7246348774931888, -1.9396502949329006, -1.6418072688590795, -1.6235714447225935, -1.4376881988004784, -1.462762456648638, -1.466046649989697, -1.2634779963478624, -1.3146525552477264, -1.2287563744661667, -1.230279355108644, -1.1388944168908381, -1.0972047512989946, -0.9837021753756664, -1.1483739588402655, -0.8946410574230185, -0.950501306773034, -0.7897199470957418, -0.9941739400078016, -0.7876093535359021, -0.6676040256410477, -0.6381263419001798, -0.7237956213886325, -0.48732368555251415, -0.4808066766920943, -0.4636168041871114, -0.2597999381413084, -0.5382281910800828, -0.29102036423603367, -0.036228659338282176, -0.20098783368277828, -0.12478952220375134, 0.09489599468237357, 0.0638184226426331, 0.148756696078054, 0.2051247041042426, 0.35037995738709665, 0.30112065151057643, 0.3834025274708546, 0.5059207947236187, 0.5940035925697041, 0.5487658842730055, 0.4545300220701557, 0.7796046616156992, 0.611924481890372, 0.8569478269494128, 0.713563633002031, 1.057796945536672, 0.9517770974487298, 1.085753057781342, 0.976746098452654, 1.079616895732773, 1.2280736200746536, 1.3493212411286815, 1.2010381911322814, 1.318438617238558, 1.2546524892568849, 1.4987842918071062, 1.4815768521576538, 1.5299124610731465, 1.3867452309146797, 1.6961893837578612, 1.6155177125488118, 1.6243052463383025, 1.787418081995832, 1.902428074753207, 1.846767678205013, 1.958224171158066, 1.9305875317886183, 2.1027460816765067, 2.1142275108452138, 2.1233527094203857, 2.1915550338539123, 2.492376232536422, 2.2980427871521933, 2.5138283684925917, -2.3254739050394826, -2.3338030337360114, -2.3216175153948337, -2.3809900122278242, -2.283784135014058, -2.1320263340457575, -2.3079031997715136, -1.996961931941452, -1.9054590763903811, -1.8574645347737773, -1.8859694859938045, -1.917056074695161, -1.7296744228908714, -1.82642474537513, -1.5916828342091296, -1.60503612957929, -1.6300582790754854, -1.3792736169213746, -1.3923362541795312, -1.3442583019436671, -1.3029733297989496, -1.2929178183214074, -1.2275004517197616, -1.1568033058983718, -1.255015624001716, -1.1056059700570586, -1.0222169338199996, -1.0096074848710999, -0.8356643484585481, -0.6918033085794033, -0.8144400195863194, -0.6987021186984982, -0.669975187405002, -0.5884659332653723, -0.5325195547628295, -0.44324386631179225, -0.3748609453656411, -0.25337139029239164, -0.29757297803809174, -0.41275104957256237, -0.03278959749036023, 0.08344024801726602, 0.04084763095496724, -0.06261725076718139, 0.028783311628257806, 0.09995362109517889, 0.24731067118302627, 0.26356636986997045, 0.21001071293273976, 0.3687028636576598, 0.3735777425344821, 0.4100814497773414, 0.4930733446269505 ]
Is the two time series lagged version of each other despite amplitude difference?
[ "Yes, they are lagged versions", "No, they are not lagged versions" ]
No, they are not lagged versions
binary
[ -0.10994827202813232, 0.4759911102715137, 0.9830962206526793, 1.2758210083537058, 1.6487622729638791, 1.7817087135464589, 1.6366339022326017, 1.5704618547580007, 1.2374184613440684, 0.9657411256586574, 0.49929314709010253, 0.02533440702389972, -0.40765761025997427, -0.8107771668604575, -1.0886260130607122, -1.4598181612929693, -1.6716858004824435, -1.775776891747013, -1.6309826656416253, -1.4510041439273662, -1.0490556661218147, -0.5793294027044443, -0.002247821299509331, 0.35424113238438654, 0.7103435221097509, 1.1899535711327611, 1.5124577667779222, 1.6483212072285818, 1.7740694199432687, 1.7018783138626408, 1.503268569538069, 1.1941360830343055, 0.6332761776636806, 0.06284869453489056, -0.4141869206566576, -0.9214164633985413, -1.3050053106431894, -1.447176047393527, -1.7065516826895177, -1.7140570097133179, -1.5947123140373478, -1.474071207502378, -1.1547509942391558, -0.7297646078816786, -0.11244594328388291, 0.4539688333561186, 1.0343126749198452, 1.4722397942300927, 1.9563539813663557, 2.1710391308495582, 2.307188892813148, 2.255621031650416, 2.067508288459134, 1.6283198180563196, 1.1379636055901339, 0.7352828041332604, 0.20839176230148804, -0.29504665441992384, -0.7860532687895107, -0.9410691502866028, -1.143850586615859, -1.2787394364027758, -1.070794142775579, -0.8392210013808508, -0.5583151365506763, -0.1534794319654782, 0.35956671589364325, 0.811850598235347, 1.117505664344153, 1.636673129575522, 1.894805579627211, 2.0757901068156532, 2.194444777897619, 2.0371285221664754, 1.8562480518361584, 1.6011885643398387, 1.2087147842268209, 0.6728551716089965, 0.04401090789618303, -0.5728189280814358, -1.0089350017074643, -1.212788799749479, -1.5211249113495238, -1.6525248270788917, -1.6819571369295576, -1.5292038155008187, -1.2769609708793888, -0.9228721872563564, -0.4741393664488554, -0.07381360744609086, 0.4426770323216306, 0.9607413188683226, 1.1183155993991405, 1.2618896128539108, 1.3685111494620221, 1.352885014627783, 1.1501727162501045, 0.918909131681374, 0.4847012336585581, 0.10662656007937693, -0.4180644778224769, -0.8254352776228752, -1.1733124995630295, -1.5348487985188455, -1.7445398290129157, -1.783706940096035, -1.7313706241236957, -1.6172771117352074, -1.1999588789882611, -0.9189903661844137, -0.41672016676282064, 0.04789185086665547, 0.517633172967289, 0.9639165200953513, 1.523046671785492, 1.7123730257088983, 1.9067202940077597, 1.7355856455845362, 1.5422270439442682, 1.35779299042507, 1.1484769566713733, 0.6788412597879914, 0.19848869501297622, -0.3617934169611642, -0.8938942419064783, -1.4024348762355516, -1.5548688253352125, -1.5926132305461753, -1.7441249606512825, -1.64713261265091, -1.279709210844628, -0.8582046235589609, -0.4730488097004417, 0.03984935897618245, 0.5267452066338761, 0.8725362281895122, 1.2506649770261136, 1.3770724235802847, 1.5589988910917187, 1.7354236601815936, 1.4421223964711094, 1.228879746786202, 0.8282089668648753, 0.5127711697031823, 0.21170432365127534, -0.2721523724452941, -0.6371498747177986, -0.9644648541811469, -1.2523174462963453, -1.5393799407693232, -1.5194322552592112, -1.3481248154100889, -1.185799856218929, -0.8603747862024205, -0.3917323224827656, 0.012793423536753681, 0.5346646876098998, 1.0502594975878152, 1.360517511775143, 1.5467837149340815, 1.79597047462271, 1.7208785517002283, 1.606900480175294, 1.3635905617073854, 1.0137671252564915, 0.6323845654794392, 0.21326135271722346, -0.30029846038993835, -0.7730564813424335, -1.259479554010052, -1.4686948142264633, -1.6247810892261416, -1.7277692127705184, -1.5443658047074271, -1.3505181635399262, -1.082624671365144, -0.6159876765873934, -0.20431392734483406, 0.20001670295016188, 0.5912375752347148, 0.9245337730634886, 1.2163800282115163, 1.2971937232132276, 1.2669771272944175, 1.151554788284987, 0.9753655597859593, 0.6256706113805617, 0.25127735716853483, -0.31617826296828366, -0.7684101275910227, -1.1567015663522477, -1.6465187930738057, -2.128619798796265, -2.2425052408062154, -2.4677536580800163, -2.474055830222225, -2.2747240027409887, -1.9348369723884642, -1.456786373489614, -0.8633555040474501, -0.43346987332085485, 0.011707207066709802, 0.3788843365086889, 0.5840713210402126, 0.8145529686173295, 0.9831826477973643, 0.8901619784983531, 0.6874921905169176, 0.289434103321053, -0.11288946428177948, -0.49839879475288473, -1.1811672950096996, -1.5767103074394817, -2.052332722935097, -2.4913391150024244, -2.7050283811150173, -2.688952311513121, -2.6609936229270614, -2.47946625023469, -2.193297726912768, -1.9508525943755401, -1.533630596442293, -0.9878332287952014, -0.46153243151184775, 0.033874883061495664, 0.36722214733127, 0.5925622953960041, 0.6777147113713684, 0.6660900597355672, 0.48066229258388793, 0.31677823380101167, -0.2399505191231649, -0.7864298806875116, -1.3155773953078391, -1.8961132891261006, -2.3921324354533784, -2.6275009207460895, -2.975929515829978, -2.983515331934405, -2.828310926659691, -2.491288317715467, -2.150802727744215, -1.6708520423644684, -1.1975518204976527, -0.5337293149829162, -0.022135522428269883, 0.42586820520424074, 0.7511235973950777, 0.963414999345207, 1.2260125254666672, 1.3048133829394317, 1.2080735048871103, 1.0001866149544394, 0.6832489834828763, 0.26665241436727305, -0.3549098372642591, -0.8433669262225003, -1.4010206969067567, -1.594533686982667, -1.913291026490107, -1.9580848760941434, -1.8174578327355104, -1.9141134334858076, -1.6092998710470494, -1.0155407354482777, -0.5481892799929823, -0.09389619927308343, 0.45777591673647, 1.1183668300120893, 1.4507697195903384, 1.6218495027994158, 1.7004270642486106, 1.6752498459793688, 1.54944406284189, 1.346639151343294, 0.8055272080844211, 0.33237600510883636, -0.021575484231963003, -0.5820830294039274, -1.1091071654584854, -1.6145495303961965, -1.7725700728082947, -1.9381396558684636, -2.0716560495931837, -1.825028612206771, -1.590860414559453, -1.3121827172411487, -0.8654066739992865, -0.4844822314380606, -0.057925378314660214, 0.2730730278596135, 0.5585789360431448, 0.7529904606415252, 0.853215409550632, 0.821489516666515, 0.8249261978637379, 0.6874852308798453, 0.37075168157825467, 0.011882630142313166, -0.44463595711764914, -0.9919265204739034, -1.3304748931838528, -1.747490319910191, -2.1008041497794117, -2.098991187123448, -2.0295561989705115, -1.960736427080684, -1.7036186448831083, -1.2916563366623626, -0.7579937809474203, -0.3582137026137342, 0.2055237654760274, 0.6663462354179284, 0.9835189821024312, 1.364477400302174, 1.5789674322093181, 1.5794288434770871, 1.4415913108799732, 1.0609237288449616, 0.8283441640343054, 0.3449887793936736, -0.1003088346432982, -0.6418971751966744, -1.1983029496519457, -1.5216955074274356, -1.80763784833016, -2.078392044616652, -2.1216935635301146, -2.115473156421639, -1.8181772447518292, -1.5075007772112037, -1.0978506305328395, -0.5507199491311887, -0.16430519993333925, 0.34730974656775376, 0.8089610918114175, 1.1259366195597218, 1.4670646787961732, 1.539197225241814, 1.4979947409358099, 1.2029221642314805, 0.8607374556599657, 0.5589007221157157, 0.046699952776351916, -0.4252341199472331, -0.8886051325192754, -1.3619241673490663, -1.6613341654336746, -1.980663751467806, -2.0151507642123736, -1.8871624824996158, -1.627971425830385, -1.2953987917303063, -0.7982866281497495, -0.26796831445101854, 0.2283420250301999, 0.6504026347281193, 0.9919677108515161, 1.4811189388186763, 1.771630476899603, 1.8291837378491493, 1.788327224018042, 1.5066888011016544, 1.3175162336972743, 0.8768435666000215, 0.4481554536826884, -0.04698534385028276, -0.570781396103656, -0.9949910870946344, -1.3507564225061317, -1.6543019537760932, -1.8907592519907694, -1.8014984275916424, -1.4848546435112442, -1.1852259644639775, -0.8869072499483462, -0.6040985778714989, -0.3187933613482657, 0.05305109260254909, 0.516722111071248, 0.8912145608792478, 1.0405152566461582, 0.991925688338769, 0.9911491362336533, 0.9559983229581788, 0.8077737615052322, 0.42864259717441683, 0.009806245164392213, -0.5670822440830088, -0.9943961202710105, -1.4898504788134406, -1.907854268401041, -2.295336586822274, -2.476319647583065, -2.433500512198805, -2.2176600482374225, -1.846609506585776, -1.456992453906077, -1.0073443191149956, -0.6441455633725095, -0.23493448304863934, 0.3880608972804238, 0.7938627385902488, 1.1535146099276683, 1.076667539606472, 1.1787772495030198, 1.1498970284872174, 0.9688875285406116, 0.7078093138885011, 0.16286805642516022, -0.24287837844223176, -0.5715974772413477, -0.9603313547346639, -1.2959277289810722, -1.655773269846458, -1.9276238772104424, -1.9488015638118683, -1.7749532467294928, -1.3977597844140004, -1.057722438274744, -0.7960827632135582, -0.34992173139382793, 0.2793174198814374, 0.6797752586016779, 1.0916443136911684, 1.5816174388806123, 1.845277525976293, 1.7824729191243642, 1.6179741613330894, 1.2872589863625372, 0.9886153519370722, 0.6594032501801644, -0.01678100184851586, -0.4952330973868131, -0.8856162514755058, -1.2002571021442017, -1.4853444816948769, -1.7058989754632166, -1.9034330664657089, -1.812077676748543, -1.6582537537017434, -1.3467809431915896, -0.8467587034595216, -0.5741916769906634, -0.09558547288133779, 0.2969342202840326, 0.6396220862284829, 0.8770584289298838, 1.027339209336136, 1.1467027966499819, 1.1629767428302937, 0.9672449960089413, 0.6927324730875531, 0.40322349850037936, -0.11383547983576628, -0.6202737992773977, -1.302692813780049, -1.695345097863823, -1.9151948585583032, -2.230565228127898, -2.396225706228001, -2.267633980350331, -2.1538498665798698, -1.8980212164695631, -1.477833606378681, -1.1913714196022875, -0.7694840565982656, -0.20357393308791538, 0.18571407926516015, 0.5390989325393397, 0.9295805413379996, 0.9882356095152127, 0.9462342783154447, 0.7969507389357186, 0.4216125620894635, -0.06446902870047366, -0.5228312284633981, -0.9759525718103126, -1.4176517063581007, -1.7677909173750783, -2.073304258127967, -2.279798589623664, -2.289703974953328, -2.2170756608268047, -2.0965236159637026, -1.7227320235419858, -1.4845308020192491, -0.8347969494248918, -0.27913151306436335, 0.140707979671102, 0.6946675640835092, 1.0421013223096034, 1.350530337146084, 1.4136265931866838, 1.200765601577694, 0.9726050319710366, 0.7591648275262609, 0.2748435859559777, -0.14749304927918078, -0.6743104136335619, -1.0710214150704842, -1.6006498687792625, -2.0535162140135577, -2.2657791226147816, -2.443012760376548, -2.276660613761345, -1.937387880684782, -1.762984991212951, -1.5737426465199515, -1.2210019953151718, -0.5883612143788814, -0.0653311337675887, 0.47475578855091083, 0.9381308837772033, 1.0858322800520217, 1.1358735148368655, 1.1984717413073298, 1.2586795269055853, 0.9536832381858397, 0.5177537962143637, 0.10727858471834179, -0.36237576339232236, -0.9466811442688408, -1.348224157079751, -1.7486183249534615, -2.0481694430936037, -2.151212703816449, -2.2037215764203535, -2.084784113556829, -1.6597827828175806, -1.3518806691734615, -0.8783538191748247, -0.42666517803311377, 0.13115432980220898, 0.46058419612000323, 0.8759534185762229, 1.3664031898112423, 1.535420843813907, 1.4625893258225482, 1.258005397470527, 0.9182875563816264, 0.5614410201795053, 0.23166037377248688, -0.2944610886604796, -0.7355995385742689, -1.2266311554448905, -1.6347289776156155, -2.0449223085195554, -2.100283806845753, -2.2573955352926593, -2.1103529458846566, -1.7550377062145772, -1.5214478262529285, -1.0814527346874376, -0.7631265394144433, -0.3308272875085687, 0.10945641547433571, 0.4370268209793712, 0.8141013334111619, 1.221301297452119, 1.2324951716377017, 1.0608814991154438, 0.8350237362721225, 0.5824387429789055, 0.14406123631002732, -0.11385766347361534, -0.5832795905635921, -1.1567089306427447, -1.647250218144608, -1.9725538469392407, -2.163545024195665, -2.0955484860472144, -1.9063576049020634, -1.7180176612706899, -1.4086673213331504, -0.9080248430910091, -0.4463401558922863, -0.1461333986019328, 0.421429116476843, 0.7429039174104414, 1.084361101022881, 1.4154817967264384, 1.4449350990505123, 1.2731852810298405, 1.1927245116508218, 0.8581935836983834, 0.3835624742800571, -0.11552923848990782, -0.5090796481779882, -1.0337029293741478, -1.6406547132184497, -1.8899169370337343, -2.04159143505201, -2.1184778244475155, -2.0815251789274365, -2.054143581528969, -1.7851604407398876, -1.3164474058999749, -0.8598690791954571, -0.39965272138508223, -0.07091476750788228, 0.30175665675958097, 0.630538261718727, 0.9919856124859152, 1.1115903863427128, 0.9531198702703835, 0.928050730646208, 0.5832081793993232, 0.08321625374134145, -0.27841758529386335, -0.7469742387853824, -1.3355889871099922, -1.890982651554868, -2.242946556727942, -2.3457773613147452, -2.5332695301180435, -2.2998203697750226, -2.09122282266718, -1.5807995541687205, -1.0934179966984092, -0.5728603287456691, -0.11002120226964833, 0.3081376561817776, 0.8636453392588666, 1.2703239351796944, 1.5352323563352697, 1.8263626611742056, 1.8110502150432706, 1.7812843173678372, 1.4949026363925706, 1.1311594763286208, 0.7060767267797535, 0.24147814295209608, -0.32315337664759136, -0.7594617272701553, -0.9955842257898764, -1.1641786028887424, -1.2445975369053524, -1.2396179809793573, -1.0537486063614585, -0.8126653536480551, -0.24919397271736787, 0.18725855989492407, 0.7532182806883566, 1.1971618037608431, 1.6486794795256696, 2.050001539239993, 2.2331210903449144, 2.321647416447748, 2.3306493798532877, 2.2101757858003097, 2.016968686481746, 1.5419773185702783, 0.8689329239678696, 0.3540378443361408, -0.0900309936236115, -0.34632743795088483, -0.5423253875611538, -0.8183565731378027, -0.9772552403490512, -0.8812239000334742, -0.7446911997990422, -0.4386377676351575, -0.046518322218630614, 0.3484614629937338, 1.013655994557937, 1.4996727160865806, 2.0875157776070505, 2.4341753916426963, 2.624445978296123, 2.77887401901631, 2.776460184787134, 2.590823782166286, 2.3084411351329703, 1.9266759426147146, 1.4822762638666909, 1.0122395562954323, 0.5141753315089315, 0.09326248708576579, -0.17656801614869733, -0.5291221197529907, -0.7063937190958482, -0.8361921484793787, -0.6706197503258942, -0.4217037383192749, -0.15114456616172223, 0.2871016355070358, 0.9823712624090618, 1.482645339243621, 2.082617010540934, 2.5986873444384653, 3.026506596798173, 3.088350247450253, 3.034119941720677, 2.887306583613677, 2.663889470492932, 2.343162745377109, 2.015931856027056, 1.2714339784324116, 0.7686741646114652, 0.23204928044545237, -0.15033893979784785, -0.4472059413687075, -0.4798941708620994, -0.5104367004930046, -0.33880602434499796, -0.01616879143991401, 0.34635363585072154, 0.6894692190511246, 1.3930855701964306, 1.8785923988589313, 2.1645648545561715, 2.5167018466760225, 2.824679690833764, 2.930653544100177, 3.006692080314603, 2.9222553200956694, 2.6806774355873473, 2.4880001682362534, 1.9658220021305401, 1.4324828166037522, 1.0235858709636083, 0.4892502245289073, 0.07085690848969484, -0.18347810819510157, -0.4787815561231483, -0.5253274444290996, -0.5449187998244622, -0.3832360002077655, -0.32223542180589293, 0.15142027820925485, 0.6554091392930881, 1.2774476834509738, 1.5881389099793763, 2.0762816576300107, 2.471432914121218, 2.6566627211500426, 2.82512496696659, 2.7967531800197962, 2.623354305713463, 2.3311139868295303, 1.8930757991572962, 1.4313985467638135, 0.8717312613409272, 0.43883311689350735, 0.04467753164363297, -0.3648104673644619, -0.5728336613121998, -0.8433275475890534, -0.8380828775100464, -0.6124388680532687, -0.3614673764853866, 0.061494476365051454, 0.47233690593107663, 0.9424470517379309, 1.4006463699399694, 1.8018415956843865, 2.158967669691094, 2.400399135814181, 2.5642088149709936, 2.6836331494995025, 2.5130170906590283, 2.260613006662741, 1.7487674009675134, 1.219174012309075, 0.6968979902087289, -0.020134247000627825, -0.45517112778196867, -0.6508716650335694, -0.8740427929680362, -0.9170969853893195, -0.9434318456791961, -0.8477354637058144, -0.6269602493243478, -0.0885333799997432, 0.3010648287227083, 0.7420034056008465, 1.3583053157077865, 1.9119506593432392, 2.0846155073847417, 2.362381281025245, 2.5425088825903064, 2.5996587083223703, 2.398184062858176, 2.108829150169478, 1.8048329288412748, 1.2753857232183983, 0.5948659219134189, 0.11207450123112395, -0.2777191748230279, -0.8880223529897735, -1.1322929963337591, -1.1591256110674948, -1.1679810436002775, -1.1664465236803054, -1.054222776569472, -0.6584572766017791, -0.26237363270990444, 0.08023951635917685, 0.5480467432171083, 1.058217151352603, 1.4636635759274454, 1.8509899418480982, 2.046793820548586, 2.1748718353100918, 2.1551670977155952, 1.919832790761767, 1.5920846983245016, 1.2418890493561805, 0.9202387186352234, 0.22437904217806454, -0.16164040708858385, -0.5838378025748989, -0.7512530942096165, -1.0086450972858425, -1.179967159641499, -1.046305848450485, -1.0041838914238495, -0.618660299046947, -0.17843626864964524, 0.3194411182780798, 0.7956524575222148, 1.167085527138699, 1.5729949739869618, 1.8489772778172258, 2.1412149329460712, 2.17389625351574, 1.9851842203425256, 1.7886354028839824, 1.4254316369213624, 1.0063069500962183, 0.4872654530393906, 0.110111474410782, -0.47146769425802004, -0.9179295889335459, -1.345209732469828, -1.3848502576655322, -1.5261498030405454, -1.3682745403530134, -1.42083239808359, -1.0109047019343422, -0.5152982722082197, 0.0028663907218369755, 0.47569933751043203, 0.8042799942883199, 1.2633421437960202, 1.710714033197937, 2.010111464047427, 2.0854749395935883, 2.0150218939973827, 1.9136191396090685, 1.5959863203453686, 1.2424787545568319, 0.6083210720624335, 0.14910229774674857, -0.39196674220410566, -0.7811639750645143, -0.9457373542704705, -1.0956141184732537, -0.9679676585576855, -0.8722680205122718, -0.7891699193403037, -0.49749554955558506, -0.19661889414336187, 0.11715271384054116, 0.5572028336362418, 1.1319499122423213, 1.6253341581494753, 2.1380160230350236, 2.308974200430642, 2.4024261233146893, 2.328945231924319, 2.1953462258464893, 1.8815235748733241, 1.3800468004376396, 0.9472862832384894, 0.23605256449688602, -0.24185359291462843, -0.6914834311319358, -1.0590414638057508, -1.3502085531540322, -1.668037787380415, -1.6788560981680944, -1.5059296547038707, -1.1662509423903142, -0.9456706373569173, -0.5629101724181742, -0.025794891965942535, 0.4075452980017981, 0.7525128574391573, 1.0483134900664353, 1.2549924998363784, 1.3383149622227482, 1.2934477245376692, 1.2104470406929673, 0.9978498115297824, 0.5594301895947927, 0.04518323600315499, -0.5767607814172141, -1.086413155071611, -1.6347150796325587, -2.139699495050783, -2.362118066777945, -2.4890060194377623, -2.3497522928837724, -2.1578840090768336, -1.8439040000601428, -1.3007661700150444, -0.8111915212585239, -0.2357128068050593, 0.23175701457257897, 0.6242694655070584, 0.9387366769061454, 1.064187235451707, 1.217721074777398, 1.1407522758846786, 0.967497740576161, 0.5927812721290523, 0.23124498362888712, -0.1598318069238649, -0.5961761673263251, -1.0247460106771635, -1.5673210360457475, -1.944483294619033, -2.2672245196095187, -2.2186394627024044, -2.148658456364908, -2.0665753319058418, -1.9214507933510478, -1.5587410390525127, -1.1442366508046264, -0.640709204552975, -0.19462315972601002, 0.3286370682576114, 0.622620821861579, 1.0193493639051594, 1.1197273151053937, 1.2573513320897574, 1.129800843060167, 0.8437412360932809, 0.522858726129027, 0.08373361778156996, -0.5697551634099027, -1.2171595980861243, -1.7430953227756523, -2.0148499423896853, -2.326723265662465, -2.583357154788885, -2.7126912421184812, -2.5531665578154445, -2.2566556416401973, -2.033925689710244, -1.547182708103814, -1.0373676706162853, -0.4482913592766105, -0.04794259978742965, 0.24155531839357924, 0.44741954467931033, 0.5238069520258963, 0.5939552921507616, 0.38748472925455957, 0.3191235124657019, 0.01921350108529052, -0.33146365294815394, -0.6806911938761792, -1.107688953789097, -1.51358305287767, -1.860388165147846, -2.09728851136601, -2.218299125581021, -2.2049931339295585, -1.9631527232656345, -1.8340350141289452, -1.4478060255295815, -0.9806803461422993, -0.5549065934553823, 0.047304877324566535, 0.47068805480961307, 0.9353229877580163, 1.225878312080202, 1.3588104207207294, 1.3216649353043746, 1.2509887931676607, 1.049453256058314, 0.5920058570574702, 0.21091740877020282, -0.05672928597283888, -0.6950548461377342, -1.1887995081812601, -1.6614910112243204, -2.0438165981176484, -2.1358103965674204, -2.2525210272573846, -2.2403519043684357, -2.084688803277554, -1.7693635711536828, -1.3142055859624437, -0.7364661343624823, -0.1368081269550687, 0.37744683051725714, 0.7696726416894604, 1.23307978121752, 1.5761319047057467, 1.680953395392813, 1.6467475676079388, 1.4135562245981037, 1.003179907829942, 0.6259408273487359, 0.1792449916621418, -0.328098653401779, -0.717026164113613, -1.150482751604421, -1.3374141950782241, -1.4660592063543407, -1.5078216291991782, -1.37353606921237, -1.2092770322592414, -0.9273223344774029, -0.5741325363265808, -0.18956182104450353, 0.2746931921367636, 0.8567689430836972, 1.3982265827006446, 1.865501201261181 ]
[ 1.0633368633743057, 1.0300465325641692, 1.0428093787301795, 0.9991367518913182, 0.9142226235097453, 0.9512626835153569, 0.9584174378469834, 0.9392709617678288, 0.9427608602786739, 0.8332716878058699, 0.834047912973797, 0.8509407390438006, 0.9148297704424032, 0.9716004618874053, 0.9361853722402564, 0.9756695402681694, 1.0598663994893038, 1.118512735717605, 1.0795660425203393, 1.1270856906137028, 1.1583214790511673, 1.2098983596562451, 1.229581167031212, 1.2258429834301952, 1.251384620704874, 1.3006834069994417, 1.3285045390889267, 1.4061871647548523, 1.4325768324788382, 1.3470705248033936, 1.329136682632127, 1.351868481255098, 1.3731974103563993, 1.3669328544352246, 1.3684827521963214, 1.3483433005333487, 1.3775624392840256, 1.3097471731298076, 1.2493234489960334, 1.2893965826078646, 1.3507993100538362, 1.3666625655697617, 1.4213869314368683, 1.3734750846596058, 1.3665563206536078, 1.285061762176725, 1.3016948472486538, 1.3611211236249672, 1.3368579433327827, 1.3222509356446983, 1.2634763054847036, 1.3192883450246504, 1.3852000542241534, 1.41687484968895, 1.4162002589911429, 1.3742502061580795, 1.2982409222609494, 1.294425837160387, 1.279163961665814, 1.304536576008203, 1.304629681784457, 1.3056220994654877, 1.3983663304452922, 1.4132110599518668, 1.3731605470099257, 1.3870162696495725, 1.4218247125657943, 1.4482461394641117, 1.436139692376372, 1.4538023538456737, 1.4581174847485487, 1.4706869675553245, 1.4406641143810877, 1.4707056141349415, 1.4576884428390247, 1.506076722146128, 1.523269838634283, 1.5118951733109198, 1.4921240742797237, 1.4881141987747877, 1.5040122194143593, 1.5209240911450523, 1.536680507477548, 1.5893364993201264, 1.674946524310215, 1.6700601921494318, 1.68590495866325, 1.580122609868111, 1.4737263231473778, 1.4460454461728838, 1.551137783498511, 1.5525230959237526, 1.5248761651783533, 1.5473003043671913, 1.525079807135022, 1.5582468161056733, 1.494816549531173, 1.4757359344562673, 1.5145612866414746, 1.5129823064173253, 1.461710119247238, 1.476106102741189, 1.4190339723110657, 1.374148816223671, 1.3516575345725923, 1.4278598819998631, 1.471486094021711, 1.4238619784527209, 1.39313741194692, 1.3952221880615496, 1.374835929380983, 1.4498995066964435, 1.3880537077001909, 1.330366196825049, 1.3709725851355143, 1.4617889979246668, 1.4202503603289525, 1.4565802056418116, 1.50857232667088, 1.5458373516916606, 1.5777580168741592, 1.564444755508919, 1.583948055719485, 1.6431730354888288, 1.647117473744851, 1.6595351777244098, 1.6527900974701222, 1.693134906723516, 1.6638041464796731, 1.641257436720486, 1.6197564245788456, 1.7117847450313008, 1.7203985310814451, 1.7312007088685601, 1.7577798212766353, 1.7384658446113959, 1.7852079004147292, 1.7214495365826203, 1.714784664146889, 1.7778887213516765, 1.7619325111890742, 1.7578341654274834, 1.7562299841594629, 1.7052054349721761, 1.76030073823478, 1.7348910954446586, 1.6629050759275619, 1.6075235205107226, 1.641455655222863, 1.680326485602972, 1.7019352274639763, 1.7636621095048668, 1.7660163526787458, 1.7746472832435336, 1.6867449859532702, 1.6206776777855125, 1.6371926173524771, 1.6773077522028648, 1.679174929331948, 1.6581550568788779, 1.6553621836855323, 1.5885182973984147, 1.6349580638486125, 1.59721081633093, 1.6204244829026906, 1.6405482519897765, 1.679096764183434, 1.6128105007436684, 1.6053856193778142, 1.6656485114136976, 1.6575205132405946, 1.5811977402846833, 1.665193979650206, 1.6639412220624403, 1.6173558041936338, 1.552750222484885, 1.5735491768558925, 1.5649495651095906, 1.4991354728137198, 1.5119789795395875, 1.4980166263737305, 1.486833355234106, 1.5699563329097606, 1.5665382278669941, 1.6450654618172087, 1.686218154813646, 1.6778642029340096, 1.6783342525699378, 1.6853171565573815, 1.7240309258154598, 1.646617658653395, 1.6190766878648526, 1.6417630338248577, 1.6647134390370097, 1.633136354839015, 1.6278029164773429, 1.646775807976337, 1.767810184041017, 1.7200568279215394, 1.741743046340209, 1.7108300378993726, 1.8184702479745005, 1.7436222148011287, 1.729325940600748, 1.729148545938119, 1.822498444508627, 1.8389624093314072, 1.7751551743649134, 1.742122897056801, 1.7681243495368335, 1.7793968941764273, 1.7804960421286047, 1.7467293494474119, 1.677367670332027, 1.6709862287682704, 1.651997079308457, 1.6877854444406901, 1.6240201306436968, 1.6149236710291819, 1.7180053762271004, 1.7334126597103556, 1.7966924461641756, 1.8560327825932563, 1.9263375803248168, 1.9291301511685077, 1.9617595349859007, 1.958083161609333, 1.8509729238026624, 1.932654045290853, 1.903669980897984, 1.8949643038260628, 1.9806958586036623, 1.9421683144828443, 1.9417303255997171, 1.995071272955084, 1.9104867096448652, 1.9170539535961697, 1.995774873666346, 2.005129699777285, 2.0022890306109624, 2.015455704397735, 1.995721277694358, 2.101836595462081, 2.1751244537956174, 2.1225961710079035, 2.1625496736695853, 2.166889532738611, 2.1222016888005766, 2.1578370677024035, 2.19844548196274, 2.1346574652461108, 2.1013435369651043, 2.1068800778489, 2.157549779312016, 2.195493518685886, 2.168631048781659, 2.1167447158560435, 2.072120377242853, 2.1172315981426335, 2.2216759715786596, 2.217777908224299, 2.2081173611480933, 2.19990215317539, 2.254419364367277, 2.2934525638150425, 2.379416729779236, 2.3150559923452176, 2.38889296780047, 2.4075649022056833, 2.414165918180116, 2.3837604327238244, 2.3766617939742867, 2.379416066676315, 2.4144007675686905, 2.416448842734275, 2.4427446504492627, 2.5328504977863036, 2.589287032663758, 2.570027856114714, 2.596925443368204, 2.5577038154325207, 2.5038194157226394, 2.530893094674215, 2.575919999997799, 2.5899965929965134, 2.636813480263394, 2.6144994543228814, 2.6525160582345384, 2.6956698466868865, 2.604765569766297, 2.596624992743123, 2.5934357400250163, 2.5701931539791625, 2.600083157016586, 2.6090468818246615, 2.694276253061526, 2.703847352799855, 2.7458221943751875, 2.6897946257879592, 2.755088560314498, 2.7478255568307155, 2.7360476050636553, 2.7751084629324847, 2.798441776316001, 2.74161103918219, 2.7278436443422516, 2.7978422467273765, 2.7958468934193603, 2.855290637504401, 2.7963089877628837, 2.8214455675042833, 2.767870038025089, 2.7390780283428073, 2.762938342762758, 2.750015972176889, 2.8335219440713164, 2.780649840739954, 2.7064128966391467, 2.7214149763431945, 2.7626788861890077, 2.8130259290971837, 2.8026130283279094, 2.8286712593502306, 2.8564475734551715, 2.885436611993751, 2.9308373249682735, 2.884359026792062, 2.8842129560456033, 2.8758407223217333, 2.8973998315257865, 2.866647771200673, 2.7979059738409395, 2.804960949122674, 2.7877469004360695, 2.8091201968379247, 2.821119535510105, 2.8270726351078626, 2.7730865175808344, 2.777912756509597, 2.7533999990807905, 2.776270387166568, 2.771944935106334, 2.7993458447709405, 2.7699482218671405, 2.782990001133439, 2.7481493233531102, 2.8163915689786987, 2.857025885785666, 2.772747859955417, 2.7686590810622387, 2.7912833860174184, 2.8208409699307904, 2.8325580938605492, 2.817349161470145, 2.8390744797331995, 2.7940610031325517, 2.752048664604754, 2.89519785313807, 2.9154744307829756, 2.8870341191667586, 2.8331697748782605, 2.8668654733360226, 2.9158174717219496, 2.9484506921182216, 2.900659776840285, 2.8967955268223773, 3.042861172638763, 3.055446564810983, 3.0410960435740177, 2.987632048980381, 3.0053953384120344, 2.996989799133167, 2.9597845258646096, 2.9011419382777617, 2.9000730292468484, 2.898382267501942, 2.882249330993532, 2.845351271644817, 2.9030006252300855, 2.883712148010802, 2.9632415667322958, 2.9164562416860997, 2.9162895196330343, 2.868696317126812, 2.9061992521503073, 2.870139297174185, 2.941447164253206, 2.9117770040304283, 2.9958467955756864, 2.9776830511655454, 3.0329789572317, 2.9783954998113638, 2.9315857365634974, 2.882043648716544, 2.8620384123246083, 2.8616807158249156, 2.8987572627609506, 2.926498740740415, 2.960502432213234, 3.0279853740223945, 2.9871888555295785, 3.0433989370121073, 3.013950597451377, 2.985557762872889, 2.9652765161768633, 2.9467692155482528, 2.998337143438855, 3.009728686042849, 2.981245187634798, 2.969726260765918, 2.915991278023953, 2.918113207341639, 3.048634172129635, 3.03208122622516, 2.98575379708522, 3.0235824959885087, 3.0507060547918363, 3.0416526681426386, 3.1230777218519146, 3.112638554496204, 3.1313336206725118, 3.1900255960027595, 3.0911641143570234, 3.1984672711612605, 3.193793681282419, 3.1661829834751605, 3.173413401282115, 3.175324051070688, 3.2006418748612955, 3.1753738899043586, 3.2028199652159426, 3.1666701457652127, 3.1096111125837593, 3.0667673446392256, 3.027329913915173, 3.106135884929224, 3.1018602048981534, 3.0621846076466834, 3.128255247738289, 3.11320570940085, 3.1096701139617715, 3.0818964354154446, 2.9998688475539868, 3.012899581382955, 3.059737013913587, 3.1522452159853094, 3.065217589219793, 3.0921807526462826, 3.1255595168954224, 3.1180456114150017, 3.1892380358015595, 3.175338142786485, 3.076514819430552, 3.125648654186471, 3.124668817938953, 3.174307320184314, 3.1895276475085916, 3.309113815829358, 3.2758889405788922, 3.4345304784325252, 3.4740192299127055, 3.4426760199917883, 3.382473184532122, 3.372945965648828, 3.3134696780258404, 3.375836579385862, 3.3760415668216552, 3.3381681572427966, 3.279237784052313, 3.278739303258691, 3.2871211687430137, 3.3256540492435938, 3.3703536243311585, 3.4323900313208187, 3.3804138769865495, 3.3848945774774877, 3.4137290717410296, 3.445407211968142, 3.398899637067708, 3.3911280662383274, 3.4097746667859337, 3.4041592189751686, 3.3501100467896996, 3.4341971227240036, 3.389217082889826, 3.464135516724437, 3.5542037088198253, 3.6033803364190944, 3.5300068726582796, 3.5755648268337143, 3.6704811036771834, 3.6660620733215543, 3.6714989640083067, 3.619225538646789, 3.6449067282605827, 3.665426067000035, 3.677396425755556, 3.7511771781747667, 3.7553016989468255, 3.791282747218366, 3.809656342286762, 3.8838044754524876, 3.8194989651821656, 3.8394401312519086, 3.8138510500899576, 3.763696401278409, 3.7785689569276495, 3.7985439108449874, 3.80093390612505, 3.8330050252296584, 3.807134591462118, 3.7331742722855963, 3.7059687236885424, 3.675288360213049, 3.6505472540799335, 3.6598990387968717, 3.665331565259198, 3.6420930607035693, 3.7221293384780605, 3.776963749899541, 3.7852803234416843, 3.805730287607087, 3.8509502803013627, 3.8348701416826207, 3.849194889977918, 3.890424637583538, 3.8594394083319936, 3.8510703373139887, 3.876024086387392, 3.9476163482465454, 3.9650846565166207, 3.922350936759317, 3.9206977240166827, 3.9083697035893423, 3.9094074855875514, 4.005395298982463, 3.93465075531722, 3.965902816876085, 3.956929040853814, 3.9440414388753045, 3.913095524215698, 3.925741682984989, 3.9819522714847144, 3.9743926100982137, 3.947450720882773, 3.9699911043413207, 4.0128931982775295, 3.940587313308744, 3.98017580086196, 3.9583666911839464, 3.9122372700383723, 3.928909070541869, 3.910449524860217, 3.911006877610291, 3.9333341879394865, 3.841659078522472, 3.857973987732385, 3.907304424096295, 3.9683413709396973, 3.9462314072091114, 3.9504153819140466, 3.95570818126271, 4.00174707926325, 4.0002943359328995, 3.9818232429352194, 3.9530771368022695, 3.935278377852079, 3.988399550852786, 3.999032983985458, 4.048423797586566, 4.039508916410297, 3.9892106150548354, 4.020734306883344, 4.084891516481437, 4.079521172427372, 4.065684280808769, 4.016476087492625, 4.009666296752341, 3.9908642294747563, 4.0495892868547685, 4.164656972017449, 4.096670533449576, 4.238792351314955, 4.266716716911224, 4.31896094990641, 4.416850715120075, 4.4334975814863995, 4.475053641787516, 4.487673581207863, 4.557765909228663, 4.528194315488173, 4.570522228607482, 4.532534276509352, 4.636361812226818, 4.546439079779591, 4.514067639474331, 4.5126828100502445, 4.5547969246920275, 4.582937802676646, 4.577473261767325, 4.61547984642557, 4.622084882913727, 4.587458578906883, 4.554011848115041, 4.529732437471635, 4.558686738073544, 4.686792451420037, 4.683380603180166, 4.7147782488399255, 4.718553049949855, 4.67113143670342, 4.6300023684227956, 4.667139104829843, 4.668733479277695, 4.718817297496641, 4.695191548750867, 4.760960383051694, 4.676018609095249, 4.6619077122494765, 4.726775883852815, 4.691185318365104, 4.66261744011163, 4.707478369816657, 4.738121930268756, 4.804168348838087, 4.8120506167897785, 4.79850943792556, 4.783426209381323, 4.819562698184494, 4.782847964352046, 4.7978854484555296, 4.824534197124835, 4.797519452688161, 4.78510991222621, 4.771944628510436, 4.702813570199855, 4.650842128499717, 4.702460348342764, 4.698476784129844, 4.677470923845659, 4.723287444736643, 4.708005955302162, 4.696558014363033, 4.6999376942891296, 4.618398188219234, 4.6289481276388225, 4.637667207025614, 4.731369088956179, 4.718501900370163, 4.78929548875751, 4.795614386260831, 4.849302781205997, 4.812767702516608, 4.8067730951507315, 4.7490458337971475, 4.794544834210853, 4.735634130835793, 4.7696361017181035, 4.762110088679938, 4.737291155192754, 4.833199127031445, 4.78558427943419, 4.841965502702956, 4.873052396982436, 4.917693373773387, 5.0034824600783265, 4.9927599807893674, 4.882934940856607, 4.8919852666193435, 4.78818984797252, 4.795797335702705, 4.91335018474706, 4.951132444483465, 4.960472012265602, 4.965947562446781, 5.042992900002745, 5.007375828878722, 4.963500874802839, 4.90264448300402, 5.021892923753201, 5.041444303392743, 5.098056785194241, 5.102499380758584, 5.156538945537933, 5.192563520660521, 5.17135030194083, 5.188361607442677, 5.214868869883123, 5.210576755592461, 5.273282467969447, 5.329470142535149, 5.335327277933532, 5.3720031064236595, 5.302689375557427, 5.338412221492293, 5.292952476389804, 5.304215919405745, 5.290020442471005, 5.189654365023801, 5.188909427037725, 5.119203687484716, 5.139794405153484, 5.098135376321543, 5.046688926451403, 5.053354379792128, 5.075871263641725, 5.14002952924111, 5.1060389848030105, 5.134878765994141, 5.141956345049363, 5.1356662173541805, 5.189658258458954, 5.175956276584943, 5.251411579880771, 5.2574290427161445, 5.238659925710667, 5.244960733837206, 5.27584765463516, 5.246553930143498, 5.287101667684178, 5.257143840029843, 5.285903754297998, 5.29653812698823, 5.244826693441429, 5.173069071604193, 5.243080570225162, 5.242108352571542, 5.202544627418064, 5.183315061702968, 5.185911150256668, 5.250399579457202, 5.270930879758238, 5.361811257350511, 5.325037437001028, 5.359496508223372, 5.324162692421275, 5.333644468045781, 5.370472546808253, 5.386500885291147, 5.3996018565355115, 5.4259079231287295, 5.440414795603402, 5.502872758494686, 5.545464031672246, 5.565929473176022, 5.564885576013717, 5.570811071846068, 5.528086608618911, 5.5524458926161815, 5.582031380002629, 5.62812889610552, 5.680796439840794, 5.722006258017151, 5.688416610421431, 5.727386436205014, 5.768407598327077, 5.776939537091245, 5.7683426904361585, 5.639777686908319, 5.634120374476343, 5.708174713676453, 5.718921466471366, 5.78009689004197, 5.794590503354609, 5.731325441868437, 5.6839539675008, 5.730188260556847, 5.748043422884124, 5.7837293537117525, 5.758248068142268, 5.738580452267412, 5.704078041252558, 5.712859164533406, 5.765601398829556, 5.811363575777661, 5.808051788700272, 5.764947642647822, 5.75661007954079, 5.7637143668399204, 5.763856530381803, 5.819899350857011, 5.820409587713847, 5.869415044567102, 5.883512867773095, 5.948036807857298, 5.898396729154135, 5.818320884545193, 5.875367321518008, 5.893319476507607, 5.842606044177636, 5.8578895318348705, 5.80726485393866, 5.735189951764135, 5.730776533754566, 5.702938819632493, 5.800491402198799, 5.820979349058862, 5.8024880528430725, 5.795565515244883, 5.747296851965988, 5.749265052635945, 5.773013014623277, 5.756126239062766, 5.7381242933677585, 5.780235749329925, 5.693362497944451, 5.679183372288627, 5.673767869836046, 5.634050572932404, 5.697080234309096, 5.668510809033102, 5.574963851110332, 5.5563533401567895, 5.6412297130587135, 5.611227763832372, 5.614486666788391, 5.669712563846195, 5.6633910189620025, 5.667201973430454, 5.649785571336595, 5.731691106991713, 5.640302409895815, 5.709917453756226, 5.660198778555091, 5.648821181042344, 5.609044338775659, 5.5650692871285585, 5.515726706214826, 5.509511703087739, 5.5124312122697345, 5.453776802503259, 5.465700357944625, 5.536165300906154, 5.504595673781972, 5.546770109956476, 5.5457086199026415, 5.503381655537378, 5.460467719657144, 5.4532870927665655, 5.374236376113215, 5.384907469127276, 5.434433746830534, 5.440919311309771, 5.422146921410631, 5.4107214400725905, 5.401903009075761, 5.392418565269937, 5.405518881579966, 5.367870357618001, 5.287886317021047, 5.278771304505742, 5.290534540801454, 5.248252325711495, 5.214882898978985, 5.277591294819777, 5.237733569120241, 5.2489667782621465, 5.226015497342688, 5.249880031831513, 5.238101980297207, 5.253349403893376, 5.257084043013009, 5.2423734449898305, 5.2448679958391375, 5.155785223744912, 5.1721654578975045, 5.165981029264893, 5.201463200127705, 5.180648178463071, 5.201998201144272, 5.343816994832052, 5.295141195960589, 5.270288291053224, 5.29776767509061, 5.281881028981048, 5.3060178761527474, 5.336056276553092, 5.374391671231746, 5.32581929292218, 5.405031816967491, 5.273297615677312, 5.30483800495964, 5.259656521129206, 5.235008535091926, 5.219953699071619, 5.155274302702469, 5.189674436531908, 5.278384337010922, 5.246897273686144, 5.247135626037222, 5.273796980604415, 5.265648756617862, 5.28685614123179, 5.2108323380790935, 5.173304091897036, 5.138769921198103, 5.221311183668476, 5.154032326236015, 5.042558532766472, 4.996085748371458, 4.965761103077093, 4.94754767106868, 4.95862779854433, 4.931158922031128, 4.9801363642983265, 5.055821718428831, 5.126606774680785, 5.111273744890216, 5.183387708185291, 5.217364789034889, 5.272756435317044, 5.285528160590167, 5.33913606213719, 5.33373696069086, 5.321502513926772, 5.251528748515549, 5.294042929302071, 5.323653174996097, 5.4445133539367845, 5.353904144822846, 5.345321536211293, 5.312069692115562, 5.220683179361107, 5.2815378053924045, 5.219295525361922, 5.213485471074706, 5.176547823598942, 5.228226100469814, 5.35372251404917, 5.39843446154049, 5.4395858758691045, 5.471474137841959, 5.508671461807883, 5.4849594622731725, 5.468439673204097, 5.456519877003847, 5.4675174432969005, 5.468913000645115, 5.421353524843503, 5.525289422300632, 5.491466698689733, 5.457781445815007, 5.4042714800741845, 5.3658377284566185, 5.331598723537272, 5.350010210961032, 5.313094231377317, 5.283549097618624, 5.208600800265559, 5.284779605545354, 5.337832441834591, 5.385718697881429, 5.388722122007791, 5.350316077145771, 5.301535172399408, 5.345421282599132, 5.316875399668886, 5.385945544214307, 5.341343126484903, 5.406489695813943, 5.429448914756012, 5.427041009228542, 5.37845865541901, 5.392196811509707, 5.451645339041835, 5.484254923225722, 5.444777964776486, 5.387652750761898, 5.469042662737407, 5.426845728789952, 5.3692516662532315, 5.394085175873404, 5.379918727403236, 5.355525937725721, 5.3594027620382345, 5.364322003959637, 5.337886775778423, 5.274123655556282, 5.2280585297267805, 5.233716129400226, 5.21489433534598, 5.286756807635045, 5.392622324894015, 5.394289266948539, 5.41041620201706, 5.368385195043123, 5.333455485696085, 5.388033533416797, 5.386293421963088, 5.351058859023984, 5.327139805973505, 5.324472076186028, 5.348787342642803, 5.513937948328657, 5.578694180898925, 5.570101429269637, 5.652310420467987, 5.589364655165026, 5.641590263716824, 5.6630571634118745, 5.665344322668723, 5.642423096561747, 5.745526166031931, 5.73847913985955, 5.732272304489147, 5.762245473157609, 5.881303797661113, 5.923075464059563, 6.015393253443789, 6.13454908496925, 6.137096010354821, 6.1216773031393945, 6.124786736156412, 6.197735392468476, 6.179280161379002, 6.219029028162233, 6.262436572266621, 6.178842333368719, 6.196507421984262, 6.322609170050811, 6.380475021103196, 6.4211382899438885, 6.46249376042717, 6.520590659064604 ]
102
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Try to shift one time series by a certain number of steps and check if it looks the same as the other time series despite the scale difference. If they are lagged versions, they should look very similar in general after the shift.
Causality Analysis
Granger Causality
451
null
Is the given time series likely to be stationary after differencing?
[ "No", "Yes" ]
No
binary
null
null
31
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity" ]
Differencing is a common technique to make a time series stationary. Focus on checking if the trend is removed after differencing.
Pattern Recognition
Stationarity Detection
452
[ 0.6155497891158577, 0.7164949453538814, 0.2097411953500189, 0.5490117509669293, 0.674840254726679, 1.427580316922109, 0.32976029033934295, 1.30271575794801, 0.6985362451887422, 0.872909420767202, 1.0325523099294924, 1.1188909764253014, 1.473236165100598, 0.9453865714431109, 1.3325318377125097, 0.2663933914986938, -0.0014385203188933549, 0.7342273842761775, 0.8502962861216143, 0.28126786465553066, 1.1867848954593287, 1.0050812166873604, 0.3023516052197067, 1.4893425387403327, 0.6304891558904786, 1.2678772165802534, 1.756963877997662, 0.9158770036635062, 1.5872054041886787, 1.6068575638836182, 1.0657826278189555, 1.997024016854394, 1.489967826812571, 2.2770742062339107, 1.065007988933528, 1.1097189865141368, 0.9371902311646357, 1.2848033630413849, 1.4384538657895205, 0.6233332517254994, 1.086283523909258, 1.1371759178167367, 0.8394145244155166, 0.25338017884709596, 1.6959230037283195, 1.5202520420241021, 1.5664251291198137, 0.04685566659250595, 1.478122036233281, 1.3943192687513943, 1.2239262251934684, 1.9693498522106787, 1.5160800634726437, 1.7217585223932341, 0.5480633274412421, 1.0221849523733522, 0.8859437308964904, 2.0730748907054615, 0.9440469920723988, 0.5008248945865963, 1.0343351461994117, 0.9570090852168518, 1.3461349965496878, 0.846638495295961, 1.2361622845261293, 1.374595779492916, 1.0907688912425075, 0.9475128434569058, 0.8474285733161473, 1.9356026768195729, 0.6377322890346743, 0.8855557219848764, 1.8524366137998098, 0.9309217238839783, 1.2776473853391896, 1.5781183940247616, 1.4303270277142277, 0.5714493562492413, 1.1140851418697608, 0.8508090578108021, 1.3807752285885158, 0.03508233864768662, 1.1120760909509984, 1.2534082962401234, 1.537822489218504, -0.008218764558095781, 0.8277392831010122, 1.336029694526466, 1.4178071242093717, 0.769569605344514, 0.6635780220324936, 1.5710752210319834, 1.7223729579501768, 1.2839171040779234, 1.7055078255105982, 0.5991579530354199, 1.557086569241742, 1.5470387862808006, 1.7209751548805032, 1.3046569938643962, 0.8334106539637036, 1.2457960607528582, 1.5672496753323282, 1.173773063957083, 1.2479039447607527, 1.4903768907078871, 1.5694641667525027, 1.171846411134241, 2.2587835738371527, 1.5943199120724478, 1.2696603087024418, 0.9584601453058363, 1.0181018760226037, 1.1075936371330208, 2.0180856427592366, 0.5073666305885095, 1.1633897009226666, 1.0938139646523095, 1.5088521097816476, 1.0433871078464296, 1.2890901614596548, 0.9319566598804458, 1.726164440985961, 1.5176261816870302, 1.981587064367892, 1.6356366536702245, 2.0320206035229647, 1.7396679457913813, 0.4758574359088862, 1.1368883244556194, 1.3477230734555785, 1.10512989151944, 1.3427435036248112, 1.6595458326674488, 1.765813409800464, 2.0286369973288694, 2.1189539227905083, 2.1746310811835956, 1.1972530638006431, 1.7581844065969967, 1.8657894167695024, 1.3081588069340448, 1.2384399152493526, 1.5919446372347335, 1.2849035576921755, 1.6028252141353931, 0.7854350077135013, 1.418284845844955, 1.7938233457298711, 1.6130746525853266, 1.622927502326061, 1.8898695152300466, 1.0432052247726118, 1.1972595528094083, 1.261515905568497, 0.5155159434452794, 0.7903858139159787, 0.4269129300849983, 0.801116035460886, 1.2347292234581428, 1.5198595667147132, 1.15775316609509, 0.8668702287476152, 0.7591365689908074, 1.4065450857632433, 2.127632116041033, 1.4817532378299667, 1.773984823221845, 0.22353272027984183, 2.1916386627704614, 1.9507402840085437, 1.7310703571011694, 1.4151973661064563, 1.616204554050938, 1.1268571395461704, 1.0207805364682936, 1.7765983235193457, 0.9713489063521277, 1.3447721575617488, 1.8699322186232759, 0.6231979467735529, 0.8983655163421858, 2.0928742317195796, 1.5369938508765166, 1.81128214127747, 2.2910909189352004, 1.7917272826242332, 2.5071101278673797, 0.7756241301570479, 1.1825740117439598, 1.8889525740357407, 1.6047210152093312, 1.206236731631889, 0.920327677469766, 1.9854630205302297, 0.9513323172043937, 1.1346392628689415, 1.5837012527153531, 1.6688497947928815, 1.053528963917121, 1.3531307457699484, 0.9170338136413324, 1.8051137625986953, 0.8805535078032984, 2.43338739455694, 1.4078594790256092, 0.8189673034908979, 1.8408370292878282, 0.7549919670991021, 1.938577606222787, 1.0302356373412132, 2.0108179165789215, 2.0450886362755343, 0.7914447806249435, 0.9663693329488728, 1.1453998273762416, 1.5975850356935424, 1.437281720612193, 1.3412425557422218, 0.4396073245796348, 1.4207019641966787, 1.950213640323415, 2.4441442352579372, 0.7839763885088268, 2.144336691880004, 1.341877940167433, 2.090945594301308, 0.6179124017538763, 1.2291845284527683, 1.8832615168041762, 2.01088165379576, 1.2443899226787531, 1.4212863470920027, 1.3388430779089235, 1.9895968828001356, 1.1666003104787224, 1.7427329196672519, 1.1279364470371602, 1.7676218091811755, 1.0394590496056773, 1.924470358107843, 2.4447270153365044, 2.2247929855915296, 0.9758018031257598, 0.8993684081535946, 2.127282148971122, 1.4128596725445974, 2.2601167472120673, 1.7101949087330668, 1.7099333492461593, 1.7224246726825072, 2.2673084498758356, 1.4390148678885593, 1.824467216052716, 1.6436068228081224, 1.4601789900750524, 1.8708438448078508, 1.544827149755945, 2.014863158865172, 2.687710448628602, 1.9360018126566687, 2.0467454781281944, 1.7537997517197483, 2.447471174983174, 0.8979588443916889, 1.7342057529849983, 2.3846430190911247, 1.2924737854420671, 2.2113398112707645, 1.5064885193848168, 1.3970397990435894, 1.7538141229675477, 1.9076584028070247, 1.8576998482528926, 1.628034384504152, 0.8009262572782508, 1.9803492271613865, 1.8789341589046238, 1.3370028188890626, 0.3519077203150951, 1.77054072916158, 1.5270537079044435, 1.31096603746585, 0.24940585429293094, 0.903832591796334, 1.6362010615587268, 1.627563549935895, 0.8581973014899424, 1.8117326572063743, 1.311015666987148, 1.5482777460348653, 1.8788752440459926, 1.096000728955321, 1.7758250677594527, 2.2228866014858304, 1.8158359975449383, 0.49451254771261555, 1.801375950514144, 1.3978708863059255, 0.6197388342208237, 1.7249648215850804, 2.2871405875392545, 2.1786571990063717, 1.7283798068461405, 2.429761263707482, 2.0387209354844376, 2.0762478705081637, 0.7885905266201618, 0.9607884742146833, 1.5859734082458246, 0.7271191291185621, 1.9642457431178013, 1.4271547555132456, 1.8854778894805468, 1.8140895009624087, 1.7743244334178532, 0.9248824218761017, 2.611400317127055, 1.1544665708374975, 1.179381717148125, 2.884136532203977, 1.0323662260604003, 2.127818823825354, 1.0939479573317734, 1.1279416072687454, 2.193989037246334, 1.494280414188168, 1.7658342150458801, 2.0949974379654357, 2.62787076350677, 0.999145718302237, 2.6788642378569483, 1.523870239764825, 1.2467508298197794, 1.4768879987866526, 2.048626840026556, 2.103458830111476, 1.4252796041000786, 2.0684023162567575, 1.7730780496599865, 2.2424270111369413, 1.2904313462034749, 2.246291217175166, 2.0073234302894534, 2.7951122190819784, 1.6365380664997335, 2.260194481792445, 1.9750932765996714, 0.8367938250873892, 1.9106584165816896, 2.286260601590298, 2.3738940687350936, 1.3489718851717707, 1.7485689625667988, 2.094250088815873, 2.27242751575249, 2.161155098494185, 1.0236731355430178, 1.6237997677788885, 2.1357761794419865, 2.320253202641238, 2.3498153067531145, 2.3251467233174115, 1.4870666412567815, 2.6030674115257586, 2.416230494887152, 2.6309683729491784, 2.034819149939464, 1.860440386134833, 1.3743278970723538, 2.151484576734737, 2.4518903250776294, 2.232878726123049, 1.2360473483183643, 1.9626618816829227, 2.3103953792682486, 1.5543215927072724, 1.9588370725800173, 1.4020297891213653, 1.8051089610403985, 2.7462203120654007, 1.766668401488989, 2.778249664312671, 2.693239344515624, 1.936237272759079, 2.7908444234645904, 2.4570677662214986, 2.0259273256841617, 2.9081978353846982, 2.21144267023917, 1.9833021719624626, 1.3619550510631009, 1.875467871401228, 3.0647482776052284, 2.4280442133876217, 2.049927477740197, 1.6536379427852828, 2.2923920745212762, 2.3407155217275797, 2.0955947033101885, 2.5715808930144473, 1.881389489508852, 2.694129260078209, 2.762493156576277, 2.6704813975426496, 1.7996053717221414, 2.7556177826323993, 3.1610073423624785, 3.1906999481621634, 2.1582788400189865, 2.388000101609743, 2.3133957548920856, 2.4887275173654206, 2.5855044531281197, 1.6341312993907224, 2.52956832228975, 2.489689531072286, 1.1932928328233623, 2.471549308103661, 2.8231556342722803, 2.0729022375470763, 1.1901268969761971, 3.497957097220451, 2.028860584306297, 1.9318039873899224, 1.4698247204309034, 1.961133531350386, 4.403260909309409, 2.210244713415939, 2.4806963265689363, 2.0097258760863403, 2.250565460990276, 2.290687776254063, 2.8246385416293123, 2.722084661507502, 2.2817629867347273, 2.043526690662814, 2.9198782277730837, 2.0398149201306928, 2.7757636747692938, 3.0097087607361797, 3.07687416176155, 2.5633104727457763, 2.0747468353794014, 1.586569718391722, 1.9207280254888714, 1.5950412578224231, 2.5889583832506813, 2.684436767645051, 2.4891997030912965, 2.184281260516794, 2.28294067381542, 3.0113808155289044, 3.0922137664049423, 2.06832294719094, 2.7784026450939865, 2.122722499613622, 2.0007312216747746, 2.304974231679237, 3.009616412890445, 2.1012349187237804, 2.4639604977850613, 2.161309826788084, 1.8430356547611324, 2.4577031850634268, 2.851754690562796, 2.390896715811174, 2.2802000808584344, 2.2573545959004226, 2.922193318167812, 2.603100526981862, 3.1573241499028515, 2.995040087965037, 2.5825156906638282, 3.0287026277033977, 2.4564481564498495, 3.124190726621873, 2.677154890397781, 2.735728225917851, 1.8730187351008096, 2.541742878662588, 2.4061786672525147, 3.072197394355676, 2.7722142243711443, 2.476972780011238, 1.9464579267019526, 2.269898979341367, 2.5023647591587856, 2.70645892880566, 2.121446353842806, 2.4613137922520743, 2.403018893232669, 2.8629259635196878, 2.8851005729316626, 2.6893536649612835, 2.4563240812721463, 3.3171911910826664, 2.108349077983512, 2.603924618766853, 2.781371781407671, 2.7753282988705976, 2.4239915282396134, 2.023000583599725, 3.3605552899568085, 2.6012170076770236, 2.33902687520637, 2.1711952761637123, 2.922247072244169, 3.160652017602231, 2.677195895250098, 2.442157180664851, 2.3525551315365703, 3.114027228501711, 2.408826797357911, 3.198317794160401, 2.8352554322024006, 2.5735860174950935, 2.7861056302484166, 2.439467317609854, 2.7800646717990625, 2.8360945382959395, 2.4986354934799238, 3.8467312948482544, 3.094285020990536, 2.223273458001276, 2.8443028624806197, 2.660340866822558, 3.137104375225443, 2.5846937631015616, 2.5591613444452994, 2.53755487296278, 2.609228410115535, 2.861756615371141, 3.7527994487394745, 3.1128310473647236, 2.9231179576085786, 2.331002592589981, 2.2040978782947804, 2.4612412454567614, 2.265284013927442, 2.954869298525668, 2.2805805866933757, 3.055280688268701, 2.8317513897004334, 3.2315410444687673, 2.903955611172861, 3.2025111813416105, 2.8960757326484314, 3.2348040749420375, 2.8464096792856903, 3.3672718805559207, 2.959406566052641, 2.723388409561322, 3.0343719805939244, 2.6031114706663576, 3.0490066365258635, 4.243364326847311, 2.660945414690635, 3.7710911506752054, 2.806404293853815, 2.29730771859418, 2.775741916859043, 3.538251328525337, 2.8804209767292472, 2.4019690613716893, 2.58202929248822, 2.6535791582397144, 2.543989441846412, 3.165310336268167, 3.3725603604587744, 2.580835968026719, 3.4365404069501575, 2.536745193717057, 2.841319893569341, 3.4311746372695904, 2.803787288630279, 2.698562009525879, 3.4305267258104633, 3.405495497517847, 3.1083713307600784, 3.464614729300216, 2.5989540722745867, 2.864270109442652, 3.173923899153907, 2.5291229316357153, 3.291730044123204, 3.521266558919922, 3.5961160710892086, 3.926568193701612, 3.6810625354149464, 3.4963221074827975, 4.066196503320421, 3.3313612573770035, 2.59134802042764, 4.0592079866309785, 3.556665021279064, 3.3892183952302433, 3.8659608696899577, 2.7443496495399073, 2.73481277474396, 3.4046454615779167, 2.8838688183072207, 3.177453375450548, 2.3104591381585706, 3.518021973253344, 2.93672124967539, 3.7202476026107116, 3.8722696906890333, 2.6762567471780376, 3.3675167474204453, 2.5149856012483878, 3.1401663244642166, 3.7111946913484815, 2.8544987065058574, 3.2274662097892497, 3.9982734739351256, 2.791028386439687, 2.1798845386968466, 2.7374214759452475, 3.8086751915693484, 4.405614327391662, 2.8056936670226693, 2.4103433160474723, 2.34221271426128, 2.834362384756134, 3.520487220557455, 3.7980407792126707, 3.251685154309555, 3.545426977155477, 3.6082170542517558, 4.541192705180319, 3.3834369201511443, 3.201731608168844, 4.1390973497054135, 3.6634826425638205, 2.7454431232946686, 2.8484683694595114, 3.2782238596393105, 3.6482729006822296, 3.1003448603622044, 3.807211329007559, 3.4309450917014357, 3.9626144955766285, 3.5223217950366106, 3.708824516849834, 3.067025670091533, 2.836930553232262, 3.8120174724021387, 3.3819943163419706, 3.5961188624691602, 3.3727691887127853, 3.9218520637514005, 4.099509546575322, 3.671750293853769, 3.36539759575507, 2.770358662376563, 3.900924411738126, 4.186084550539342, 2.974156968742962, 3.662612218119206, 3.833926029466692, 3.455705445384107, 4.171895619441413, 4.459484525041307, 3.9303346408281583, 3.5882044846540575, 3.852732071346447, 4.03079699569435, 4.3701175758698305, 2.585838239621748, 3.443890649144155, 3.5358802170840278, 3.7657240324626207, 2.8351303503535337, 3.794880197747304, 3.266678756802629, 3.2691716711692176, 3.33958078213634, 3.649582829609776, 3.9242116606928423, 2.8502225122057983, 3.8131686296650487, 3.848209189028459, 4.007300104178959, 3.8226449373245908, 3.7428622838089893, 4.378651647475486, 3.9118562180625154, 3.80792172087592, 3.872399495502081, 4.512246320883484, 4.522668966918772, 4.032160672737302, 4.3199921369546, 4.306804912455208, 3.567806167367748, 3.6931825072523017, 3.0550054787985057, 4.057053001149222, 4.554304039278496, 3.13484624889033, 3.896439006546417, 4.368051383872253, 3.9277255478666038, 3.719648693868128, 3.9855589840255568, 4.058675977124903, 4.033366380790264, 2.937184708838301, 3.5735687982226363, 4.053407070009469, 3.581571620286962, 5.126185905458824, 4.394427540982218, 4.283533021299052, 4.204820561846952, 3.3560641022750164, 4.174702169599596, 3.1911625383020685, 3.5330410327878767, 3.957637353330124, 3.735196187859652, 3.561991579863027, 5.06976200797272, 3.260856134719388, 3.6002752980682957, 4.399895280039623, 3.940577798037372, 4.444429081534425, 3.8529109329038564, 5.415397530168539, 4.406400167916763, 3.951542825385568, 3.571411934050518, 3.735530776762904, 3.8253899731616494, 4.413195290042939, 4.431956376676683, 4.112377213821744, 4.501359506451862, 4.74130807857315, 3.408865867208686, 4.907603733522372, 4.442639198145057, 4.569638151824016, 5.423737749120506, 4.047786074331717, 4.468361558207193, 3.9219998109938934, 4.507823259054214, 3.9900136599945375, 4.342081317644534, 4.863737685756879, 4.5551913543745135, 3.9509237921505345, 3.399798101009865, 3.118331986153679, 3.8770034087012055, 4.325354372340201, 4.597407984688916, 5.071960563282898, 4.608442126207226, 5.020768377699971, 5.3693572322665535, 3.237689931188574, 4.491843620729301, 3.6538254495538807, 4.605549742407148, 4.3327526656374875, 4.332128357283131, 4.547448357908404, 4.502987200092529, 3.640422901429778, 4.94181617883392, 4.513098238224099, 4.5613650293112435, 4.495491034943496, 3.4811626659210924, 4.49667436857315, 3.638147779908939, 5.496782872237318, 4.001301741997451, 4.099895350208893, 4.813440549105111, 5.729889027342921, 4.208258406602308, 5.377959005418129, 4.514573784509269, 4.638623911220642, 5.538310308872966, 4.015906704895297, 4.360090412087964, 4.035624398546256, 4.303065730019025, 4.121276785725454, 3.438205473586211, 5.180904362361898, 4.8224103082185525, 4.460241994530402, 5.094374029842319, 4.388103889334211, 3.2184808875047777, 4.384126301907342, 4.591641885778484, 4.650499428588649, 4.430504255557592, 4.35261374038841, 4.816250508742591, 4.909567538209145, 4.772909573057636, 5.107375639360026, 3.9266612826471996, 5.086605551909336, 4.908024567389954, 4.659336400630281, 4.6213439405889645, 4.7257608316267, 5.545078974293061, 5.6320946596577866, 3.797635795760822, 4.471995625996853, 5.258877705397212, 5.235540225393109, 5.5085850808946955, 4.8656917058154, 4.969061898322565, 5.081776760794736, 5.300399719975286, 5.070624678503827, 5.023619290260416, 5.492226714815058, 5.236288401671805, 5.733107571147901, 5.17404453643986, 3.6079870491980826, 3.9914713809237865, 4.795121487027622, 5.117949900028108, 5.114198955526779, 5.380953018187064, 5.540247344856518, 4.813908930742885, 5.1547822404848604, 5.645332419647137, 5.528671812234369, 5.307176293731272, 4.531479317620704, 6.27221198945795, 5.202904323398547, 4.998677667604557, 5.545188424687685, 5.218390002482768, 6.1756108335725495, 4.538987818194559, 4.910691847379605, 5.226720615111269, 5.584288153727457, 5.279188658884902, 5.768497694722504, 4.684787713606827, 4.320225668644182, 5.104181495647467, 5.02096933450471, 5.485175848798572, 4.407099013587621, 5.8506853508700765, 5.732196959150474, 5.7103146617466125, 5.30128863090547, 5.199166820923, 5.777069955999853, 5.4406417626158925, 4.823279150980112, 6.321812535704119, 5.048637969307778, 5.713043461521275, 5.915387921970405, 5.674222165920785, 5.559262491345965, 5.476019884852987, 5.413821754635801, 5.560624531244514, 5.470711455031497, 6.456671335825543, 5.403387341703144, 5.01305536174748, 6.231059604912973, 5.475675438611402, 5.779657537795851, 5.780783872249802, 6.032617413408437, 6.070009502582365, 6.203843056686287, 6.2360832329468545, 6.142963589181623, 5.0394938807081795, 5.458050006746784, 5.29379936264961, 6.139980308687382, 6.121494446423187, 6.033209710489498, 5.209112549644593, 5.305446537332731, 5.373112775372646, 6.700460588765179, 5.644221538338638, 5.9990244587674875, 5.386528692232256, 5.730731494066358, 5.827333050142307, 5.550137889593924, 6.2662347092629025, 5.554377480520692, 5.497589011931043, 6.007771501751285, 6.133891310455113, 5.58234766457117, 6.291511351558886, 6.136821395706482, 6.201815119312897, 5.530556139536813, 5.896187410537855, 6.696892370360014, 6.669196671933419, 6.200658258676022, 6.4161967507764475, 5.20845690860196, 5.894563985264637, 7.0835390546455494, 6.076223220604299, 6.50774279950762, 6.128904647000624, 6.452411302253396, 7.786337298624946, 6.953552361046974, 6.488403909730764, 6.646407191984504, 6.048959019142046, 6.012609798844073, 6.817738983096542, 6.1607199930105825, 6.1295111720193445, 6.607977367121811, 6.4668891525888075, 6.6129504221525295, 5.953369347012154, 6.8540793153413215, 6.284985481988461, 6.9658044225599145, 5.82527688296537, 6.053359097396674, 6.211787034409165, 5.75267894316106, 6.859687928259709, 6.410618023537332, 6.210969930833222, 6.744936645848918, 7.075095481912268, 6.6306011726289125, 7.024399954293862, 6.459349188917271, 5.952137539280922, 6.989874806150717, 6.592837897591636, 7.906048680742899, 7.886578400733518, 6.060003318575845, 6.620061384139123, 6.467216896524794, 7.072616439296983, 6.700027054994752, 7.26701489207548, 6.074064871355059, 7.123742966510253, 6.397154304903046, 6.778888089317225, 6.9530808566926785, 6.40796426723983, 6.1596803893700764, 6.976068558781889, 7.5445402895976095, 6.368893018895024, 6.000909097254505, 7.340233300972119, 6.892627563071904, 7.114118894948561, 6.786185393034311, 6.501989195374447, 7.950083110676229, 7.569674826954951, 5.793393971957361, 6.540383628061743, 6.605524219193798, 6.497360330326649, 7.223869026160517, 6.246489673054556, 6.644111648859958, 6.911292762143507, 6.923062864044974, 6.675254547027655, 6.509434141030142, 6.76637861452762, 6.898821406366069, 6.8975245116737485, 6.652263013040242, 6.766826722981945, 7.375356758397972, 6.314250088062208, 6.957573785544357, 7.053379859572722, 6.766741082053052, 6.757582493879286, 7.48061525053482, 7.206977861029322, 7.163930349344425, 7.8071161848386765, 6.641184052734173, 7.760885822987383, 7.197198569544399, 6.4563482265087035, 7.8910067408494, 7.289253257548742, 7.48611436276312, 7.243553194935976 ]
The given time series is a random walk process. What is the most likely noise level (variance) at each step?
[ "1.93", "15.47" ]
15.47
multiple_choice
null
null
54
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
The noise level refers to the standard deviation of the noise. You should check the degree of variation of the time series over time. You can estimate the standard deviation by observing the average distance between the data points and the past value.
Noise Understanding
Red Noise Recognition
453
[ -0.3254577312655691, -0.6485361696422498, -0.09440337561121337, 0.043838083741010794, -0.2281250156249056, -0.6717769707627085, -0.43331521262595873, -0.6379365664342123, -0.6966659883377174, -0.3766695355515267, -0.752534624369538, -1.0977086560424965, -1.2493024701529742, -1.8938078010880868, -2.133216195291453, -2.564716696935163, -1.8933202387558745, -1.6896089996287462, -1.8618821392805074, -1.5220873918990077, -1.279219693020566, -1.9603774043051285, -2.456033396008229, -2.212915038056309, -2.0528757482680478, -2.539237201854334, -2.5418901535903116, -2.565504367015071, -3.063924333284493, -3.392750158767413, -3.318358573850115, -3.7673054114811744, -3.509558383869493, -3.804803738341506, -4.493225020247104, -4.123636563765206, -4.000999415415771, -3.8560774848436914, -4.313431346182913, -4.659403685528815, -4.852348469883419, -4.874047005047496, -5.211404867557827, -4.681323035279069, -5.224429391503094, -5.24366374198948, -5.8822163330619635, -5.401436174395057, -6.061730204705508, -4.765856284406354, -4.304720712462836, -4.547405236104244, -3.6577505090550972, -3.7393599395558925, -3.579791107725376, -3.1509590051931173, -3.3382003758211996, -3.929488496534798, -2.556528054880523, -2.273605050821396, -3.2434658790818536, -3.239516100281582, -3.917859341130553, -3.824344190494947, -3.123049889649019, -3.085448371531864, -2.5057215148923593, -1.5801002737601386, -2.3753397011701662, -2.772247056427148, -2.3991511711144367, -2.073930563689103, -1.8888026213704951, -1.101362752563929, -1.8721456588126761, -2.042885713352963, -3.156926967895145, -3.3587794047719566, -3.7973369328971893, -5.056941547198075, -5.820369178320555, -6.89487276813194, -6.471080544271829, -6.393998588556175, -7.037897028417935, -7.0316998244205875, -7.246387396679661, -7.023257939765852, -6.627244834838109, -6.322631663390684, -6.548000707812633, -6.034578220072103, -6.566442511330691, -5.997942763593878, -6.138985763682808, -6.259962338845705, -5.886363811650853, -6.0932104498099875, -5.406657139719541, -5.405268786223871, -6.319933104079583, -7.229469318793734, -6.6925492356851315, -7.14086146669204, -6.871846064508822, -7.35959036396895, -6.768889663172277, -7.602685483831579, -8.25968090293726, -8.058882721275262, -9.286160284450201, -9.647474139782108, -9.661387866686827, -9.496028191727342, -9.559936711647627, -9.84023917538652, -10.180703641740012, -11.733045833863208, -10.840631026087244, -11.380592734448609, -10.383768566717496, -10.594889963289402, -10.402221313425501, -11.42098033282787, -11.683490006520604, -11.463044576514385, -10.661816084256117, -11.038624409895021, -10.000424915752989, -9.805314853241349, -10.09550834722019, -9.764602091750008, -11.211095479574002, -10.801652686362013, -11.271064135736387, -11.408833546371262, -11.154319271808781, -11.367229794220785, -10.676304335125586, -10.727755193595115, -10.865746384501746, -10.942981605136492, -10.653344673664288, -11.132002419560143, -10.768075625797266, -10.9760604664637, -10.337766242261187, -9.593751969683506, -9.582764094428441, -9.86982181527951, -9.721536886165229, -9.325893806005757, -9.334249905837845, -9.079852822645778, -9.219156310506097, -9.234463497443516, -8.441474845192722, -9.131284101257778, -9.087144748458188, -8.339447850865126, -8.733139693781698, -8.705942016909985, -8.251398032663937, -8.311054114105321, -7.395430384384352, -8.693383534698174, -8.424643650603038, -8.084369594487733, -7.845705781456627, -8.39000207262749, -9.054290247687327, -9.054409137833368, -9.202660463504227, -9.117966313076616, -8.627860450277188, -8.387080883310821, -7.78057435297911, -8.275645835345042, -8.328200103196922, -8.58275504367039, -9.324393042259569, -8.301458064393671, -8.024197753897923, -8.345466472473076, -8.667903986457777, -8.577854015671234, -8.3542073618559, -9.110413950897652, -9.596517631234928, -9.873917392969322, -10.284451670578482, -10.369704132548407, -9.789630918604365, -9.187627688771403, -8.870215528919777, -8.64926047506334, -7.729890335184622, -7.700453846892995, -7.821216325114854, -8.398623015856558, -8.075522446102141, -7.640252725972088, -7.310351453421863, -7.8867049477568525, -7.557862712537606, -7.4776829097184105, -7.746223440640679, -6.763181371593509, -6.34656593582398, -6.450265149878257, -6.156461719720404, -7.482247693263622, -7.453529906333979, -7.585099184334004, -7.46210061140158, -8.629503926046665, -8.93067833425945, -9.218846875736954, -9.06624873594669, -9.01472164923183, -8.912611240994714, -8.395246114871336, -9.438576239068182, -8.389195313757938, -8.998888652590868, -8.729295418805632, -9.107799594391174, -8.162921840886732, -6.837128545436058, -6.663130720465581, -6.66628576872087, -5.903104705027936, -5.408406160865889, -4.385217312934373, -5.120659012976779, -5.422260975243724, -5.1518095585993295, -5.028246873120439, -4.620722694837554, -3.9132497824732875, -4.404454123114782, -4.213348046446853, -4.362506427738696, -4.280590080259101, -3.9027842700770035, -3.468652249206077, -2.597593108196211, -3.2604003364352483, -2.190220055208048, -2.940208446589551, -2.8228006952753746, -2.744021434764251, -2.0713234226835135, -2.5150627519960147, -3.0812065402053577, -3.6896908336351655, -4.257715998753357, -4.333619287577257, -4.751511920457945, -4.305628995127567, -3.775600519304633, -3.9998721664139976, -3.9468190306913424, -4.680100843858716, -4.6120546428891585, -4.630336112958323, -4.359922247846906, -5.405447078737532, -5.623071271843845, -4.771351396806808, -5.071752612154521, -5.167192197490359, -5.731078719058648, -6.383043706052408, -6.880013075035933, -7.285174629177698, -7.804900155478583, -8.131711114337167, -7.7026166767980415, -8.03010743397925, -7.360101688474445, -7.5548361528061765, -8.276514907379479, -8.623650755196381, -9.755221304699809, -10.2903426578931, -11.350713447659075, -10.828446102285975, -11.588908093368332, -11.994927243359035, -11.226869676542362, -11.682681832900213, -11.689891345117823, -11.819844380098433, -11.915824279061432, -12.468312772103312, -12.130101606704832, -11.539777960163887, -11.201060000359707, -11.607866437394215, -11.687984368960128, -12.666322513759276, -12.34964388366811, -12.116580280950265, -11.17471889990474, -10.707838851810076, -9.918545781417581, -9.553452639369278, -9.242355380914706, -9.268410674169509, -9.116496883181302, -10.079369320780174, -10.662401531782335, -10.869345720854177, -9.954525176752234, -10.551065723094727, -10.548504928684308, -9.962831892964617, -10.218540540247865, -10.51415399474517, -10.835184343529999, -10.587841708724058, -10.798297973920814, -11.660374773893075, -11.021416621000363, -11.251517998157826, -12.127403644539905, -12.217139836404389, -12.155646988072913, -12.018044412328907, -10.759015269767012, -9.726666022713916, -9.475330547374737, -10.02996516509031, -9.704918765804434, -10.62377647944092, -10.272347080632482, -10.046891808372566, -9.908426603581095, -10.322553367073054, -10.743401385461231, -10.454267414170118, -10.605171586370945, -10.872693182331677, -11.039523242296886, -11.051925041062734, -11.411379218118565, -10.582777210250073, -10.67537154879842, -10.668275353615385, -10.764346915896066, -10.231201633280934, -10.19172329922579, -10.052160206584665, -9.892994009485129, -9.68465515566447, -9.78910952953468, -9.4398138078558, -9.369434389197048, -9.637171169336728, -10.040069618049866, -10.164793173658516, -11.427865745594932, -11.693049357792919, -12.650186232723982, -12.977447574658811, -12.60773953539793, -12.792771083344213, -12.1508704630943, -12.195539092446113, -12.737576002220342, -12.831116191043769, -12.671403794234685, -13.080485683360981, -13.727261430086484, -13.600253893172924, -13.794135195105849, -13.425343572267096, -13.681415246928477, -13.127779965175094, -12.892469115059207, -13.014469072609502, -13.941382808517547, -13.70709913845134, -13.54562279537016, -13.694798934838836, -13.585772467511802, -14.137398462150367, -14.034003742399893, -13.877766727816343, -13.282213046678027, -13.082853399088325, -13.422807672436859, -13.62268899032443, -14.522289460069885, -15.054250289866411, -15.230615119115127, -14.975760929517481, -15.038287406389259, -15.39309487876075, -15.736500284692884, -15.675797966686973, -15.83910574322146, -15.404474271777042, -15.986298891550746, -15.244201252517142, -15.99987000907141, -16.13018278183442, -15.876107345011915, -16.393405043530688, -16.386688907132115, -15.885039116017856, -15.684150290877286, -15.63800176412474, -16.22906927340096, -16.30527626623272, -16.329683351785878, -16.020366191635567, -16.17880024174039, -16.07293419093089, -16.87862891863933, -17.298288709293967, -17.183257020642433, -17.17859767914504, -17.79536237963377, -18.211361669659567, -18.50880364096808, -18.785178518532263, -19.027084243158644, -18.69237289379304, -19.114283781100433, -19.02623488564946, -19.23033050356078, -19.49332481597727, -19.18193484805203, -18.757960059927438, -18.416413804799387, -18.313412393745956, -18.24110945818754, -18.91182004022427, -18.844802783898544, -19.4248183981214, -19.051858790793958, -18.93901538987377, -18.972633391155878, -19.596431896987493, -18.59410973101416, -18.318370249532926, -19.323628215917267, -19.037097051107093, -19.636184916326446, -20.90728997191795, -21.635520797657218, -21.390829268632668, -21.074247388615454, -20.482288363555003, -20.06936074689523, -19.19016564382123, -19.448659092759694, -18.959701851147198, -19.38632992314549, -19.124267204687843, -18.548114879553886, -19.172012338725295, -18.92283353079211, -18.879499004766384, -18.12376371217505, -18.084194641809965, -17.79230176834406, -17.347123878384462, -16.84003648943953, -15.841550745275425, -16.720674364695018, -17.36797474431435, -16.60546067737408, -16.619590282787332, -16.933773382130152, -17.635484279967574, -17.767335241420604, -17.655227169763176, -18.734597941754522, -18.981676830709375, -18.957648739219042, -19.271654809613946, -19.532774830528925, -19.46448148754306, -18.405319099079165, -19.009877728735635, -19.059091366332176, -19.056103322431515, -20.031731294426628, -19.98398188271907, -20.868273799744543, -20.299430058987934, -21.117050775589515, -20.939839459656465, -20.572926885870064, -21.24789224094273, -21.710987164268637, -22.35729653994474, -22.933645139515185, -23.26192026217023, -22.92959655481942, -22.772267112846322, -22.83550899316439, -22.63142970131665, -22.886136123086768, -22.780156000685825, -21.60670331137261, -21.206716659980035, -21.17396039742079, -20.766524765277012, -21.505491267724718, -21.58900228621605, -21.158179751678862, -21.466623584636203, -20.82870721501188, -21.37388623074372, -21.40623420352416, -20.888762922963735, -21.701799170059463, -21.16304944915857, -21.06453799479007, -20.711972686314756, -20.940272342641972, -20.630297400994216, -20.04183634406063, -20.470817157256715, -21.28768916746386, -21.773113679389077, -22.06108837468222, -21.961033736927984, -22.23223318836499, -21.588218008791873, -22.045002518720075, -21.700091488373726, -21.606202913393282, -21.98490513620332, -22.14565706055546, -22.288961519568968, -22.601647870152355, -22.65929162202401, -22.23625004750246, -22.25542662600948, -22.16589701348874, -23.02815306289185, -23.52218194938921, -23.48347124344862, -24.039450570289212, -24.442845721681177, -24.133163544286987, -23.740740847926034, -24.31328108445163, -24.141280675226927, -24.10494960938724, -24.432792800507343, -24.148156443456298, -24.16459165046867, -23.794248039015194, -23.015182990056054, -23.64387734088781, -23.232513342212474, -23.694550183224145, -24.420964212814358, -23.904086010142578, -24.191074427312508, -24.191521545308518, -24.675747937851217, -25.485927947922544, -25.350725587736008, -25.452313908665694, -25.50830315433399, -24.838209306628375, -25.133535299180338, -25.18686297008844, -26.152228196553917, -25.774290339689152, -25.78333746689653, -25.597985110684682, -24.52273802789732, -24.61161544359214, -24.93883472259716, -24.850708979669644, -25.006024107514964, -24.504964700114652, -24.7409580575338, -24.84024011179832, -25.630856561843988, -25.356403690756533, -25.17234705072726, -26.05652594623897, -25.628051951538733, -24.340964442574858, -23.651170882603253, -23.220324129223545, -22.702386877420718, -22.06207482911438, -22.244391377947636, -22.315340156594853, -22.469487158811745, -22.768394880836766, -22.436030593419694, -22.437489335346978, -22.94453060057871, -21.55477222494002, -22.042598254402257, -22.083372754445264, -21.58683324301813, -21.963214830483324, -22.143147600792688, -22.92115879733749, -23.282421470418193, -22.88248725830207, -22.55439369206009, -23.199206881029937, -23.497734821416216, -23.883612008199513, -23.91692270902889, -23.856183000189223, -23.006504011808776, -23.222896572075108, -23.20839538901545, -24.340258090189998, -23.828737742821307, -24.61960962783537, -24.99413373577893, -24.60525921708028, -24.329361641434875, -25.003204353106803, -24.762205493796397, -24.976954111595646, -24.689410239593883, -24.655760440299133, -24.289667604391337, -23.612396998232605, -23.59121181901032, -23.10372924030755, -23.313928679309942, -23.296710544640447, -23.491166765568927, -23.55847081802941, -23.3990791032341, -23.402906495339394, -23.39157974690732, -23.208663999280382, -23.357177257200107, -23.410102703079595, -23.057869540138707, -22.82779945844699, -23.314906328339493, -22.949454608799968, -23.348492832736703, -23.235171641660145, -22.467237956016074, -22.121721678447358, -22.38347025824351, -22.056324508050572, -21.951273190378338, -22.78093848168241, -22.696115875501988, -23.44214100073332, -22.931249990304604, -22.923639446998486, -23.677719533126307, -23.792756547517847, -24.264950247855896, -23.198250110657774, -23.940456866879035, -24.583990449512772, -23.067136883596703, -23.2719285164575, -23.626201943981286, -24.197446831842576, -24.66498459310763, -25.468930917900686, -25.77671969744831, -26.216330729677733, -26.252270415897403, -26.36270663691532, -26.78007546498668, -26.815136567492647, -27.700814826246145, -26.85457577364842, -25.725232321235552, -25.374574779658257, -26.01410956052524, -26.02470726645438, -25.813787015041722, -26.687350376795525, -27.0797731527756, -26.72360619703652, -26.13175547583509, -26.66850267749685, -26.90497695964756, -26.492134659010446, -27.018800848847018, -26.48375123331814, -25.846502549732573, -25.523488623263408, -26.103981919367882, -25.911804162552496, -25.34878393769587, -25.316227866981567, -25.302230242429687, -25.48792553684236, -25.821616566811468, -25.946463518731026, -26.39910782722708, -26.705242510564293, -25.74403531742429, -25.463410539209015, -26.07614915596154, -26.233298972443187, -26.065625881826772, -25.605960718254057, -25.31792590234874, -25.390733227835245, -25.063603682355495, -24.77478987821947, -24.380472867307784, -25.014816055713446, -24.86125120729787, -24.14114293858028, -24.568849971648664, -25.41443144557134, -24.786319752313638, -24.536646149317235, -24.974928049309124, -24.05572092738551, -23.408778936639372, -23.683691203724344, -22.962894637086386, -23.167404708613276, -22.755763891343733, -23.205098134198476, -23.06696526677536, -22.135645482873198, -21.440340140548507, -20.947531551100777, -21.337051744330328, -20.994250887935767, -22.187797404115976, -21.70706406054582, -22.82037964234791, -22.80204645483265, -23.296901048600397, -22.959735114849597, -22.98314730844123, -22.905561758769945, -22.780074749492485, -23.398433196710055, -23.846503961460275, -24.55720658060073, -24.89659628283767, -25.5660297052742, -25.240789376662214, -24.536409380687687, -24.174595445997873, -24.018292103020308, -24.405440134761907, -24.397174283529832, -24.48765951619879, -24.54620750731944, -25.789383647702426, -25.39213217172627, -25.06211467257767, -25.120689904457546, -24.80805494983502, -24.070094550915563, -24.870870577175832, -24.955694554602374, -25.427551285885862, -25.74061907419016, -26.358746325852906, -26.877960307646955, -26.76123013071, -27.82966065320699, -27.25695806625694, -26.955189992156942, -26.84265904234866, -26.367679198713315, -26.52143300470325, -26.546178196834166, -27.02560002886, -27.0747407993441, -27.283688520804624, -28.024320472604817, -28.76222151751035, -28.8633984262267, -28.337033793129585, -28.410311385129578, -28.338965627994614, -28.15973814709905, -27.3743456057171, -26.778476284443634, -27.03883401445068, -27.749955548244994, -27.718275261629206, -27.918743274791286, -28.63511536040854, -28.81996553614593, -28.15423615008614, -28.23677380558806, -28.785313015627757, -29.484102301433992, -29.1819789009051, -28.57539449579164, -29.01966140457238, -28.890272201342015, -29.487030863037145, -29.18374354524946, -28.888789503218774, -28.654643142544387, -28.320831109025946, -28.18396452192822, -28.307307157841514, -27.788946690757097, -27.5520516410886, -27.76848152250389, -27.484506589586765, -27.077888506295686, -27.161391583733074, -26.925059369426258, -27.256958369862417, -27.02469177369302, -25.870238220250673, -25.70100044228687, -26.09667886946667, -26.112789734361716, -26.195150727205135, -25.621505246080464, -26.02162033880666, -24.480736002402004, -24.412964969568474, -24.57149843532691, -24.383758413476265, -24.668523943078, -24.391734315460507, -23.457896679010936, -23.377301194284705, -23.035319643969032, -22.684807144988554, -23.004927981099705, -23.352408931618506, -23.675702672453372, -23.975318145610885, -23.738658692275617, -23.063860433785194, -22.80672511802734, -23.079417942241307, -23.11470466457416, -23.977648118353834, -24.242884467178467, -24.849795915659392, -24.721363344750365, -24.25042795692561, -24.2226962340036, -24.04921780192759, -24.28529634859796, -24.103437650745168, -24.36149205316368, -24.0262187811224, -23.868993964455516, -22.77912460868897, -22.823634709291436, -22.238399292958526, -22.508047635075005, -22.26946187717587, -23.04644585107492, -22.43357205097551, -22.712252999796565, -23.253253657799785, -23.20148946881603, -23.13551523422457, -23.368314966379742, -23.238744825706515, -24.025791723379825, -23.550683918257434, -23.71478119617317, -23.632098982429298, -24.170179409068158, -23.965647873868356, -24.346896053657694, -23.914996764058106, -24.374635764380322, -24.19898872921433, -24.49491415572303, -23.79638349407814, -24.333245618226833, -24.828097699204115, -23.64624112436716, -23.611492755685923, -23.27938670076773, -23.477327413822604, -22.782264669378687, -23.479659307334742, -22.639599014003362, -22.145300897837686, -21.66875780248039, -21.58592749140327, -21.41120897922667, -20.88747512942663, -20.51991119404035, -21.112584504077123, -20.992295529464926, -21.336453717412446, -22.25127879143758, -22.67186447203379, -22.653404172387923, -22.37205991822268, -22.022510610907773, -22.63658132670522, -22.503853532318903, -23.354637115992503, -23.472850551648246, -24.22616767460153, -24.05560822717575, -24.221287288130924, -24.059605974125294, -23.00264419194077, -23.714850229953942, -23.923589898515523, -24.293525067128353, -23.60491421464042, -23.822907811519535, -24.569842393271962, -24.083848455967676, -23.959167222859882, -23.77642020534539, -23.444059898564145, -24.5731880070585, -23.60471366300193, -23.620091021120036, -23.900164181672825, -22.37490704327886, -21.781664756822515, -22.53727029224417, -21.72319908605819, -21.212919120574785, -21.310660110972623, -21.25685774122279, -21.04141336125526, -21.347795512810745, -21.382243669703634, -20.640072868659097, -19.935812537297345, -20.354592919099783, -21.151890121459058, -20.84701557266681, -21.094462474160448, -21.245702463106053, -21.13166558437288, -21.121893601689095, -20.929690220254383, -20.38270907143422, -20.422936360924854, -20.094282739063832, -19.981402397911257, -19.659785628532948, -18.73299390063007, -18.710873778839517, -18.74599760632165, -19.29978301906409, -19.769692001981316, -20.322204936071536, -20.150552020853873, -19.799516522972255, -20.00908111982812, -19.191603264120065, -18.592090062894023, -19.295081748705467, -19.114362546174792, -18.173176039215193, -17.537425157555685, -17.207926494288294, -16.699669190841025, -16.350779292500388, -16.041986595478097, -15.877108901676344, -16.402302612252743, -17.270232033119406, -17.073451155417846, -17.172254460145417, -16.682913527426646, -16.88441972778451, -17.60600461749823, -17.27187496613997, -17.87550526930131, -17.946642732380695, -18.201364672600864, -18.577516497527906, -18.93007541595154, -18.991044038568283, -18.853261089918615, -19.18787817190848, -19.226415993653553, -19.293204419991575, -19.143709381415373, -18.911119268078686, -19.031700764378662, -19.135965947245186, -19.677067937384745, -19.767879007621296, -20.054648597473033, -19.355719580489197, -19.88852537357471, -20.22563796123483, -19.683679154345914, -20.223412762010888, -20.985334741752272, -20.314704449471247, -20.517362859844184, -20.693787736513748, -20.440334686979593, -19.947406542552645, -19.368816317334886, -19.445637124905815, -18.980879158542912, -18.864458077273333, -18.949465439079646, -19.46062837616461, -19.771656560310504, -18.961230130692098, -19.35808036019747 ]
The given time series is a square wave. What is the most likely period of the square wave?
[ "16.69", "57.32", "95.26" ]
16.69
multiple-choice
null
null
22
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Square Wave", "Period" ]
Check the time interval between two peaks.
Pattern Recognition
Cycle Recognition
454
[ 0.041915144095461675, 2.699072416920748, 2.614973434713378, 2.5761028428993464, 2.5749487371734, 2.857964911725405, 2.6260311851820806, 2.7986972105780077, 2.746895719548142, -2.8141212040309918, -2.77306229952448, -2.82343125744949, -2.6840814516210654, -2.743081819579662, -2.7206394672831284, -2.836195322051685, -2.470926700715931, 2.5879790925230717, 2.7253391086276144, 2.627926709413209, 2.7999659298180064, 2.7933042091165454, 2.788692376284292, 2.626366316209906, 2.693844020074221, 2.6810996612480427, -2.7204090139047485, -2.733890285738488, -2.8669884508493877, -2.7164581228467886, -2.7384434565255202, -2.7233964417663645, -2.829591096610863, -2.9112845614637726, 2.650974402116161, 2.561044375607022, 2.6085962316357016, 2.758518476270113, 2.773103653994775, 2.6376308543929308, 2.700787868816489, 2.507131276415284, -2.7109633783479077, -2.6612848618706804, -2.8496297514849056, -2.8949572883759487, -2.5348738616641096, -2.6562782981314395, -2.5864666268651724, -2.5825563062216843, -2.764214507972739, 2.521120573243846, 2.5588290892182735, 2.8612630933762206, 2.662648599412566, 2.770167737635539, 2.669834581975707, 2.8537968573607597, 2.708039735536367, -2.909781663691918, -2.9216987359495037, -2.7557474788083574, -2.815110530885594, -2.848843597843214, -2.6852846437903297, -2.811169962774305, -2.815919545732299, 2.8231516242442383, 2.7454200455335265, 2.6565270401697023, 2.720769873454297, 2.7346567559868933, 2.666717238379287, 2.6611321084949613, 2.89482827269273, 2.6904597796941063, -2.5832839513704537, -2.741829433611112, -2.697342127105501, -2.7740442023345597, -2.732385307741386, -2.685689568384443, -2.4922229245924172, -2.6257408961239435, 2.807568629820795, 2.5681333175808327, 2.659460954487009, 2.57782005085839, 2.8523070903436856, 2.6417936532406534, 2.6992647754899672, 2.673280471145698, -2.8935463445739735, -2.6707094248262297, -2.655101058901974, -2.8436650395906646, -2.6136664960181473, -2.623266423219293, -2.7560705273348143, -2.7913171106514936, -2.70976044286879, 2.6823520062305346, 2.793244456046008, 2.567132704948231, 2.6044832902459127, 2.8239063901504897, 2.815294121587608, 2.7043763403469865, 2.608409437872301, -2.845017671811905, -2.725235421386825, -2.811386853092471, -2.7286530828472113, -2.724785781634511, -2.6413565099692633, -2.750225894114873, -2.581393077315517, 2.702572887571296, 2.8363387002763827, 2.8333321347386407, 2.6875728436374344, 2.7082912270310984, 2.6783289173478644, 2.76564139595474, 2.747202278603952, 2.708501856780672, -2.715534996477671, -2.708669688886755, -2.591439185647532, -2.632719972642038, -2.5829022522436804, -2.7424056244419917, -2.784694344583404, -2.8169679998796693, 2.688632957034551, 2.7222949883034406, 2.730596895172205, 2.675076876383692, 2.687422311792267, 2.6681551630916864, 2.8813115486762126, 2.7355326837649123, -2.825906076853283, -2.8831952856287195, -2.7803200143452838, -2.684385323440305, -2.763841226573549, -2.787593915147133, -2.7299203056946957, -2.6464171428544017, -2.609777794725434, 2.7081148547155816, 2.8182731509594876, 2.64819837294954, 2.7322624651000362, 2.6727117231793884, 2.6981020156289808, 2.649669675359736, 2.7275099031499233, -2.606319439700319, -2.798314364439222, -2.6946452401480943, -2.7925299343682726, -2.762105717052271, -2.5438747701344844, -2.714400227835749, -2.6495038061476954, 2.66347583697821, 2.676193242245593, 2.5332471933599994, 2.6916052696278823, 2.8155172760657643, 2.717775202297454, 2.6616952640934164, 2.7989777273506733, 2.5942567749909236, -2.6118454621767397, -2.8170879332871044, -2.8045958217584954, -2.704752000291832, -2.638939301421139, -2.7691137477027876, -2.60990570386627, -2.4456996871372665, 2.7386017673961556, 2.6380047030027045, 2.8262214601255775, 2.7748066833754392, 2.83842941347028, 2.6765751388880132, 2.912650988452169, 2.720217080901605, -2.748175424212997, -2.7328526716974033, -2.8200035396083996, -2.688967660884422, -2.7029997904917176, -2.7681003385462253, -2.7526427116316485, -2.5121127241345245, -2.709525920494608, 2.543351194750988, 2.5535526683567182, 2.7994564390730567, 2.796589037545656, 2.699587442746929, 2.676342476102024, 2.7890135561297718, 2.6527006742358274, -2.7774961350397125, -2.8047587944405383, -2.610195769198006, -2.6161089609266934, -2.6040553066892835, -2.5359624757452015, -2.5729944099013697, -2.7092223552435235, -2.6915741352715807, 2.5558681402620373, 2.67238317250407, 2.710276921175026, 2.677786586787365, 2.803909228083301, 2.698983263239442, 2.6009059682639917, 2.6986475204655087, -2.753547197754099, -2.7019962984880372, -2.7406558679717943, -2.6948146895232883, -2.650425749302389, -2.640197869364271, -2.7239379712358707, -2.7698349994550187, 2.8446664759176548, 2.6192667695846286, 2.7885939185349944, 2.505992451307164, 2.5809248230318316, 2.630289322184238, 2.6882112785325485, 2.7527773502507724, 2.72084776845755, -2.70135273169015, -2.6425154255802847, -2.5163915422913963, -2.477462995666169, -2.806996240383855, -2.7497630504914934, -2.847876343944871, -2.605213824881963, 2.63984942809051, 2.8194883353684244, 2.7320471170736336, 2.7765185907479144, 2.819905421933108, 2.7562083930746897, 2.5001863617620854, 2.624811618898822, -2.5735524779574357, -2.6729504254406735, -2.6334763091499225, -2.7237955059566135, -2.539128564038866, -2.5382156602241785, -2.649565964165712, -2.7010636187419435, -2.7328696536492334, 2.7024020716282178, 2.7127378207684503, 2.7918646685044766, 2.7444418116803626, 2.5597481683773133, 2.7934099789852445, 2.632677695936227, 2.6039422569763433, -2.707513967103278, -2.523758161626472, -2.5578645708086647, -2.5939854689300796, -2.857969599596214, -2.6358525233164762, -2.747006652743995, -2.7653358806481627, 2.603183742904902, 2.4815516026629467, 2.754119222384275, 2.7076186622598, 2.715129808232454, 2.693724652670604, 2.700331401988635, 2.714087646281959, 2.7182609451932396, -2.5172695239218426, -2.6933139760938207, -2.6854232921590344, -2.799286534216256, -2.6403083537613976, -2.8315143936161324, -2.6767175375687833, -2.578298386579991, 2.7989406495520894, 2.6648661815584056, 2.6542595916421847, 2.8497246434585666, 2.6977358132476885, 2.7575776139344015, 2.7802901493239984, 2.7150899872994274, -2.7525166292728565, -2.6679823236481335, -2.7437740888820183, -2.6643292092998236, -2.6897404450382534, -2.690691975724109, -2.5677888442127568, -2.7758238165659224, -2.693852252633816, 2.6563233522314302, 2.726892315675646, 2.8248053802198685, 2.715408581523288, 2.701871820214152, 2.556140722350051, 2.689346347155547, 2.666361104144258, -2.850049757685013, -2.754060450273185, -2.68807982676982, -2.6520932323030433, -2.5483227145486986, -2.6946967502595243, -2.4594295126543733, -2.7568878931802026, 2.6641113109278205, 2.8955272802372587, 2.6260030071756217, 2.6909976306604992, 2.7090469187300372, 2.725119547816344, 2.630233332881794, 2.732387492023402, 2.8562527206223454, -2.629972964757133, -2.65707143282248, -2.674916676438786, -2.8864964035585343, -2.8231748883608523, -2.5669304056381193, -2.7193425717135873, -2.639920982792033, 2.722591027730838, 2.5797083971094366, 2.7264830095730157, 2.724665020998117, 2.783239738494775, 2.901699433403826, 2.8670039832987766, 2.7528841247981037, -2.720343551372624, -2.7316587732745026, -2.769913208718185, -2.542768764773009, -2.4649350150877676, -2.584509524851561, -2.6881008297283975, -2.8312594132935684, -2.7506276273300907, 2.870477877218746, 2.6431788797331, 2.6122276410442007, 2.6230369184756146, 2.6127279945688606, 2.680965003446318, 2.711200795898246, 2.7373611753749554, -2.6923673147572185, -2.678870161494309, -2.702162900714477, -2.6982489903551863, -2.7237212535830007, -2.761121264204104, -2.445371670747828, -2.739918603893412, 2.7142011798791885, 2.70958273747798, 2.8879479075519208, 2.725591888085399, 2.8495860902034047, 2.7031105539818086, 2.6146152544244607, 2.815408754682332, 2.626825790176064, -2.559554204447263, -2.7513275902646974, -2.714024746346099, -2.717449921213465, -2.7857428126069963, -2.508957293923057, -2.7281941319985807, -2.863524028205705, 2.785023193106638, 2.5532890655701443, 2.6870061129691782, 2.6176778808342105, 2.7139216244994646, 2.8839971817548684, 2.752534178644616, 2.5725694174782356, -2.8436248890980282, -2.6480343770208217, -2.620843671203657, -2.7713869514052356, -2.6324193268188654, -2.8417914475557655, -2.647150068345736, -2.593213730651492, -2.60918132554775, 2.778973085492741, 2.526259063796843, 2.661320769573991, 2.6808379924368166, 2.677217841983284, 2.5960775318020217, 2.9584912189236863, 2.61189736842632, -2.8300296969974332, -2.774921066962756, -2.5852792071274893, -2.729209078325719, -2.561839966363182, -2.7674877429881115, -2.7120469553582467, -2.6639931324619273, -2.810651261855821, 2.605062621619713, 2.8329373032747114, 2.5396654288530027, 2.635626184750625, 2.787543392141342, 2.7993643476621854, 2.730643356042612, 2.682385903887758, -2.479928373464085, -2.6573825225576475, -2.5551994409963212, -2.6691245328966384, -2.75459500744311, -2.561518213842289, -2.838143550912212, -2.762859440802543, 2.7577046982377964, 2.7933385489175864, 2.597911993338262, 2.626053890643173, 2.64812462420121, 2.71066693973085, 2.5644302789937843, 2.6295127001645264, 2.5678958731015933, -2.8025339200484316, -2.7115730335585058, -2.746828290192107, -2.524648528479539, -2.70046683147195, -2.677385471707569, -2.664819520623396, -2.7604116103751397, 2.826078078379335, 2.6737103237499062, 2.9885386985593914, 2.6573832000610014, 2.778533845244655, 2.721379691532654, 2.6164396414135966, 2.5368836602891, -2.691725275318305, -2.554263280089721, -2.6249644530581024, -2.5892273051166, -2.723921629275645, -2.714109607140358, -2.6505838418640444, -2.6388659285578187, -2.800488737430034, 2.5786958133349915, 2.6233159935127133, 2.545847858692856, 2.707320386986378, 2.733644590064132, 2.674781087707844, 2.8381514453440153, 2.6883556430065685, -2.870243192533119, -2.728621720995329, -2.857070684395552, -2.760425226255533, -2.6779242930322407, -2.6746470423792226, -2.7491677672578367, -2.729019766569147, 2.6346800225133857, 2.6947487488748902, 2.7668299135435848, 2.7579529369057862, 2.6513709900792306, 2.7055477557575216, 2.804987333696513, 2.788598828441542, 2.690885143309291, -2.7212781078535366, -2.675040736782807, -2.68502430579996, -2.636925041218692, -2.6050057656906813, -2.6943569482729264, -2.5583063178583267, -2.6842621466527072, 2.5979232987330714, 2.744191276115883, 2.7461016717604725, 2.717677486811109, 2.768166940690515, 2.61495747650785, 2.675189731869442, 2.640159652515417, -2.6199373507645234, -2.8075400274730304, -2.6898713925492532, -2.7322931847345187, -2.757232935632606, -2.5778688145782716, -2.4762060443338156, -2.7587714528021055, -2.807284195883149, 2.7726225537614497, 2.5727462076652228, 2.7714794861159655, 2.9093209572789114, 2.7292114479109735, 2.8065913113873586, 2.9134356069912406, 2.754707016037409, -2.7131222481351456, -2.7342290929538335, -2.7645119879233575, -2.788904928297332, -2.7803668076107173, -2.7504361379674966, -2.700391835187322, -2.774486015174882, 2.650914062313602, 2.6174412309478594, 2.8119241632309584, 2.628820665092285, 2.7190345197271917, 2.6812966550804695, 2.8795834757933187, 2.7379270757949032, 2.7357807627199673, -2.6348690617850195, -2.5013498308766455, -2.7184859637008247, -2.8526800764676126, -2.7904690538441335, -2.766041514689673, -2.793614886651793, -2.8050096443089156, 2.8046110408868525, 2.7945435929654536, 2.8043144330616485, 2.5924887583156186, 2.7364817925152694, 2.7421641268735244, 2.6300672762562205, 2.6690365187420926, -2.7911861560823397, -2.7904383420744003, -2.899492495744232, -2.864563095706597, -2.7030723709065705, -2.755171246460194, -2.5376460874831834, -2.563987826134993, -2.598433266832613, 2.905882980306332, 2.7717359572391014, 2.5928858562813035, 2.6674656592776604, 2.7841144252523615, 2.781695056340589, 2.6953292929487134, 2.8170553392909046, -2.860807990880058, -2.71764054095578, -2.830115421277894, -2.685598712628285, -2.787484836133885, -2.742533548142343, -2.606201250893526, -2.722966567767731, 2.410282000835183, 2.5985944165083423, 2.74519613309687, 2.933711843112812, 2.7294033500380026, 2.641333834911373, 2.6489619631281704, 2.6562936295625237, 2.7974921263019863, -2.809711447364966, -2.7641212918927778, -2.674110184503769, -2.6113980586129117, -2.6854785632089855, -2.728184017870503, -2.83837607551731, -2.84380340410029, 2.8250004357594767, 2.654075361966146, 2.872607383478381, 2.6976475934040174, 2.8109612851951478, 2.5401787874845985, 2.654552561664342, 2.6250845691823375, 2.8495389772012305, -2.6182340055249145, -2.8359949478469733, -2.6873892628530562, -2.8283905419301525, -2.679258727578418, -2.4951926083841798, -2.5322620311962067, -2.8238532457247474, 2.6109412181534233, 2.670540710662717, 2.9990273795312126, 2.719456757945335, 2.622499203167731, 2.6249298768952993, 2.790727586881833, 2.7818650003095975, -2.8273610095659496, -2.725305956182778, -2.869780678317796, -2.759189805495769, -2.8851174461362765, -2.774863956853873, -2.6778736095320976, -2.5997206607991514, -2.6355762591527476, 2.751042265285817, 2.8687922862142865, 2.681118016508931, 2.782670439556452, 2.7733424059724148, 2.8088485027218932, 2.6044364423901984, 2.6503303391855266, -2.7111612894141635, -2.617982792279317, -2.696614179174263, -2.8889762939165955, -2.612172257398171, -2.7800335076446743, -2.6900184608628686, -2.6474275173318484, 2.551378975500269, 2.4816420279967244, 2.692897141981534, 2.8016368259217597, 2.716550666149363, 2.680644427257731, 2.7821655198041766, 2.8572100394455178, 2.7370535686380295, -2.5542176598082476, -2.8182443913464392, -2.9130664409156743, -2.833868842718949, -2.635741958552072, -2.787023452016168, -2.6841884499394535, -2.715398631345596, 2.741914245699462, 2.827021246042676, 2.695762444923831, 2.839700811393813, 2.55935407859927, 2.726805961602586, 2.9209761520123907, 2.82657729569376, -2.640362267589981, -2.7413432976119605, -2.6576384447565133, -2.6093330359398816, -2.721247630418147, -2.563265705907703, -2.7094862168826324, -2.6337344370441382, -2.5806984616577897, 2.604490755167676, 2.8779979324894853, 2.7020606792914763, 2.5290097270943113, 2.8098589465705, 2.5810722913836384, 2.8620444871537427, 2.54009425619237, -2.873222714650423, -2.8152186655532536, -2.793729883727982, -2.721498998352712, -2.931829417781203, -2.6919264832728858, -2.7615144966960834, -2.8351329299096033, 2.7265800178321573, 2.8603697783389492, 2.8446984866727965, 2.744223153956455, 2.6713883912376777, 2.5808411177421693, 2.5943116139791775, 2.867443400210496, 2.7537799832920093, -2.7182491436361245, -2.6828956965030235, -2.8465855920990797, -2.667473816614474, -2.756188771549699, -2.836943610720996, -2.7505183598261977, -2.689138909035101, 2.7090317398882, 2.8063504180190897, 2.62349042438751, 2.7353826460809225, 2.658421914458292, 2.689335222501832, 2.8460916768631406, 2.778546754177004, -2.655518559038674, -2.535302410976402, -2.8389745166210525, -2.690435106230367, -2.797936226048165, -2.9375570361406314, -2.730876468138921, -2.640684204933436, -2.869759698839728, 2.7235606231239036, 2.778431476703899, 2.675321077170346, 2.563549698646785, 2.859517503930546, 2.5255056172415666, 2.7124191157455133, 2.566319690553353, -2.602342222331611, -2.6166811648473307, -2.70475969997793, -2.7844899977661868, -2.5791190236976154, -2.6985049681900453, -2.8399632569275526, -2.686155828938799, 2.619428028858147, 2.590096156293872, 2.5994618847071758, 2.81515931330469, 2.6173759294816032, 2.561524503634694, 2.65169823236365, 2.957978522648396, 2.733193348288219, -2.597759808331198, -2.5867485962489822, -2.565157469165448, -2.636252946383031, -2.6611252622767374, -2.774053123130255, -2.710388977401534, -2.7375129785757486, 2.670082673795887, 2.7337592045482624, 2.762049625430501, 2.6854937389376756, 2.5897181368296844, 2.726905606839861, 2.728629134365743, 2.6952159076836817, -2.646675847524188, -2.564453401445368, -2.747554093876192, -2.6451077952128665, -2.592030335359082, -2.6755087098602566, -2.6053208596845066, -2.8170147966964056, -2.7185906919528393, 2.7034132906006576, 2.6388034518953036, 2.7382162277540294, 2.796596338414029, 2.718994861896115, 2.6273821488873055, 2.842770657408644, 2.702538476089237, -2.8282993470545414, -2.74034169319005, -2.8056290225251344, -2.6931619907975524, -2.7269973010358557, -2.7150234310488406, -2.8336295238301887, -2.725344220625774, 2.717948176874069, 2.6452678623724637, 2.7745904110939237, 2.761478534462077, 2.682309562983497, 2.8302070316924604, 2.683834259912498, 2.6050289252060557, 2.7229839834989438, -2.729002686848684, -2.5935604891101467, -2.694735378785796, -2.562421018999529, -2.7140161692569413, -2.7749225487835596, -2.7396636341174885, -2.5590217043597208, 2.7469074520253396, 2.666253516632912, 2.6776147935278978, 2.6151545938216967, 2.6360738432567308, 2.7256626209741284, 2.586333669611112, 2.958693861916725, 2.7444473062480714, -2.6215376849961896, -2.6697736950719784, -2.7203605644956474, -2.5283239134296265, -2.772824851769134, -2.6874766191060724, -2.712685538669686, -2.5614456192461534, 2.8602202649428246, 2.8086470868044984, 2.7576259951539543, 2.8520027339096954, 2.698451116672709, 2.86143786622757, 2.84627306660323, 2.733904252846407, -2.662980494570285, -2.763478310717563, -2.743090666799531, -2.661990142792666, -2.6525022223605683, -2.6911600516368397, -2.823635224011748, -2.650502867620948, -2.6623303523979875, 2.718020972185222, 2.670452205640272, 2.697265784509829, 2.947471863568546, 2.6728893432085328, 2.6836945586718786, 2.6676738189603837, 2.7921794329114853, -2.63549469513737, -2.7188589947946062, -2.7053918526714114, -2.860643278522493, -2.685362370332818, -2.745039741996087, -2.6612709271261155, -2.9307672928749757, 2.631958335752263, 2.755186753963729, 2.689015748060913, 2.7645839518387194, 2.584447296645542, 2.6617459999840727, 2.7027955595458266, 2.8922840099517373, 2.674070082541461, -2.644523773258024, -2.650297340215807, -2.857021115492719, -2.6125284074834, -2.5207067950032997, -2.8753227687155576, -2.757717820647703, -2.823530647984902, 2.7796435468292886, 2.897034647184535, 2.801748836435433, 2.572152831020613, 2.7996006838606795, 2.8798625141913274, 2.5624903816167124, 2.757281839441039, -2.737783830254037, -2.9909578383185575, -2.6407559686780546, -2.6018105312285815, -2.8144543578114742, -2.564926513833303, -2.6289574463320564, -2.4111254189297577, -2.73727129385117, 2.592450290493556, 2.6962491632309376, 2.6872390584776467, 2.5986397653968383, 2.636136018726798, 2.774403824381911, 2.682274058644594, 2.4823265655648, -2.792135238308991, -2.635765689926858, -2.8241232966684207, -2.648834368697681, -2.8292062443542307, -2.6353446563894196, -2.654775130615041, -2.8102266022145983, 2.6075007177566354, 2.856036998014863, 2.5877067142989403, 2.5852922014936257, 2.732991329476066, 2.7982442887261176, 2.6586553973493627, 2.704383961528595, 2.7065324801964725, -2.740558923413777, -2.6928309322164217, -2.527610847493356, -2.6237141596133386, -2.737123096418834, -2.758267456403884, -2.6709773477142584, -2.605733809339796, 2.6837274250147343, 2.8237319251655557, 2.6401052818764397, 2.752247469344704, 2.6213334577218226, 2.7027788317288515, 2.8085427716612967, 2.6809311098719313, -2.7490353889349097, -2.6899025854808616, -2.7037609859847356, -2.711406240236292, -2.7163899138981047, -2.566647452129674, -2.7894725149558903, -2.643643888164301, -2.6256723660372994, 2.647944308885716, 2.8033756931948037, 2.8379583083290907, 2.6402693660560534, 2.5696597203415994, 2.737273085775345, 2.68387919534709, 2.8039879880682705, -2.9176051570133206, -2.423366692082131, -2.957400696990697, -2.8106214391992514, -2.682736361304683, -2.696502147069426, -2.786781730274128, -2.559861702770638, 2.5913502475601904, 2.814331525521147, 2.6789977178028446, 2.6714450414415647, 2.7206886330259263, 2.781692765391014, 2.603386438717218, 2.7115684587332045, 2.5999187949569698, -2.561832907860402, -2.6731723761623534, -2.718319123698385, -3.0514913068216845, -2.740177641349954, -2.7806249749226675, -2.642472459009587, -2.7309097224771115, 2.835878671404312, 2.5540236497796047, 2.685678305890944, 2.7396623370115156, 2.813347636203981, 2.808545497433883, 2.7827443014587896, 2.6205793192893383, -2.875521961693732, -2.664849403924119, -2.6980283875113673, -2.4390989263174374, -2.799730492481463, -2.8633077429227316, -2.62444865088671, -2.7043789600620634, -2.7558056260746646, 2.5572961308351965, 2.6680752514945523, 2.6577498795060595, 2.8252533012433454, 2.778296645797538 ]
What is the primary cyclic pattern observed in the time series?
[ "SquareWave", "No Pattern at all", "SineWave", "SawtoothWave" ]
SineWave
multiple-choice
null
null
15
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave" ]
Check the overall shape of the time series against the definition of provided concepts
Pattern Recognition
Cycle Recognition
455
[ -0.019134089453630706, 0.14606771234507115, 0.27572188729331687, 0.43999514157457187, 0.5777381931124274, 0.7186079953760198, 0.8467025089075568, 0.979223051909402, 1.108863883883238, 1.2221570337858043, 1.3781500881409579, 1.4572346467657686, 1.5678513744247466, 1.675107523487756, 1.760439478276419, 1.8533768617354962, 1.9098328637777318, 1.9977028907640042, 2.04999054786987, 2.116077403661854, 2.171134186244145, 2.20950018272748, 2.211579368928052, 2.2072367465899085, 2.2424201929815535, 2.232835629674258, 2.2152030386554884, 2.2058300118087817, 2.174758288579019, 2.1400872310943932, 2.0791829625769713, 2.0207848136913547, 1.954547392903932, 1.8798577754465606, 1.8112619835019792, 1.7068084210319296, 1.6035368425599856, 1.5190453911616786, 1.4085191224194826, 1.3071855510318604, 1.1914751578157605, 1.0555452462803447, 0.9163886459353522, 0.774973803593361, 0.6298075031116736, 0.5192288709698081, 0.3583582738732337, 0.22495569817489303, 0.06502518154661742, -0.07452226721859218, -0.2225590677586582, -0.3750830403051243, -0.5052557133717226, -0.6283629296570032, -0.7936578133249137, -0.92466132913294, -1.0711730338320922, -1.1725182059038353, -1.2936083965445273, -1.4093545063454678, -1.527213205002285, -1.6315428792586981, -1.721917443126656, -1.8076132165277012, -1.8943251889157766, -1.9723460417483096, -2.048629384074979, -2.079655462710611, -2.1358448269470456, -2.1902139107667042, -2.1994903964334624, -2.219526330150047, -2.2420780129242663, -2.249307127926353, -2.220688731226462, -2.218925376247311, -2.211156720647214, -2.1526929774056844, -2.105904423079927, -2.0526971848959312, -1.9988127186574411, -1.9205508826803748, -1.8355036701640697, -1.777548844236635, -1.65704019146217, -1.553282869277639, -1.4579058424797748, -1.354520236082758, -1.2131004501961427, -1.0850546425983547, -0.9803720004732198, -0.8380318588510802, -0.7098113837464763, -0.5669002957083026, -0.4194833496687898, -0.26631370329434395, -0.124872869351356, 0.015509218692139098, 0.1812623575285265, 0.2905813723901554, 0.44101548928488066, 0.5889976927861033, 0.7236014255626892, 0.8603714142103909, 1.0031816808331762, 1.113610956451195, 1.2634034676016876, 1.3544810235661469, 1.4684445084526845, 1.5932508611156768, 1.6934009560692918, 1.7703285007140972, 1.8708673392895017, 1.926408976706613, 1.9853153394551053, 2.0747996774050583, 2.101579461916566, 2.159482229807967, 2.2125101050484, 2.2086299445463538, 2.22044454266369, 2.229774446239542, 2.223523862488527, 2.211852802505777, 2.1852975419414524, 2.178908301426125, 2.1117774251540533, 2.0855641819101733, 2.0042654643484257, 1.9555145590199987, 1.8878801927120414, 1.795756536290952, 1.693544961658315, 1.6076134908181194, 1.4983360759866395, 1.3911489001684862, 1.2636011414170518, 1.1581839562435396, 1.025058447179376, 0.9043857295717261, 0.7722821076050895, 0.6273665399235582, 0.47999294000793435, 0.3328236413586468, 0.18766216093232493, 0.05475516341122608, -0.08855593116335633, -0.23986014566537725, -0.3824187366224344, -0.5383143460237971, -0.6629823877840832, -0.8061961688040937, -0.9237892566711282, -1.062034258104259, -1.193689600368288, -1.3071088806221878, -1.407129284359893, -1.5260823892072595, -1.642936673531343, -1.7276931206911461, -1.7920583866634396, -1.8929204292813293, -1.9755804954432696, -2.026210903674664, -2.1123627823062576, -2.1518721865284114, -2.1981487723531012, -2.223948695449467, -2.2274995062116534, -2.2515875356651724, -2.2486113458077153, -2.247060247083362, -2.2072224339434676, -2.1968055591473177, -2.139319909975432, -2.103882384793311, -2.0341888016582055, -1.9887374146986119, -1.905172770599613, -1.8324229334544446, -1.7413291730752298, -1.643510911817225, -1.549794230969783, -1.4399428828855336, -1.3241816063066405, -1.226375037615927, -1.0819292246114596, -0.9480623139769818, -0.8240416947071897, -0.7000879789468643, -0.5420015999974137, -0.4191746200030558, -0.27840790313737246, -0.10530075081221647, 0.03343825364948811, 0.16524362397289588, 0.32178126901263904, 0.45853076238683277, 0.6096009137765341, 0.770577361981558, 0.8665791984030786, 1.003641223789987, 1.1228380513194895, 1.2677968993243576, 1.3724754305315416, 1.4842005260153648, 1.5875602287768567, 1.684691307318814, 1.7769051343653643, 1.8623822968824766, 1.9503996417472087, 2.0199418726672147, 2.071877377093307, 2.1356848679879494, 2.169598604804302, 2.189975331774975, 2.2287420934481963, 2.243732181696443, 2.2410947976201503, 2.2321540840660257, 2.2076907412240265, 2.193309319702967, 2.1471035981198474, 2.120640453352676, 2.0742390064908234, 2.0255087312523012, 1.9417719090342742, 1.8738049469722042, 1.7990693130796431, 1.6851177038144456, 1.6038810704553625, 1.4766369100862886, 1.3724140919286514, 1.2562660671753636, 1.1355683758741184, 1.0081173385676188, 0.887212853629798, 0.7465556110225332, 0.599970431775332, 0.45422608854750546, 0.33335167993454085, 0.19190461650823035, 0.03722998311973508, -0.13581280838062815, -0.2576306501309373, -0.40298087723676285, -0.5433419062944124, -0.6647338488059468, -0.8080307674393825, -0.9402577589657546, -1.0670386057133507, -1.206532756031654, -1.3258216144379102, -1.4359333065392916, -1.5507443956637197, -1.6527286427506567, -1.7332833214270948, -1.8234257395694755, -1.9299038830926045, -1.9828270778439308, -2.032679588186463, -2.0915256400488524, -2.1443564422049666, -2.1672239011003054, -2.214498839195452, -2.2314211400499238, -2.2589035646524844, -2.2382448458804896, -2.2098520590789343, -2.209750132878782, -2.1792963270313557, -2.145816536215759, -2.09307292198205, -2.0490099169197484, -1.9607913257634884, -1.8956064869633988, -1.8192803839520966, -1.7268312943390178, -1.6437401375019864, -1.5480669405349852, -1.429229588466091, -1.306454470618916, -1.2011802606320197, -1.0762381354851525, -0.9424797718974877, -0.8298659031269545, -0.6834788586803042, -0.5390405171158839, -0.37948298804714026, -0.24349826417446313, -0.11332753160693447, 0.04570834350630211, 0.18832985142733, 0.32638509415748734, 0.46815841004829767, 0.6387928853172655, 0.7355422091896455, 0.8828536472515089, 1.0278785806484356, 1.1381020349952922, 1.2635235576573682, 1.374030341007616, 1.4994630751760716, 1.6053767592408321, 1.6889403221140857, 1.8050908000108767, 1.8643834180711467, 1.9540781072554596, 2.0039884803017927, 2.081183027277978, 2.130908712409929, 2.1596143106606474, 2.202746077235745, 2.2252549611121646, 2.2329910654880365, 2.247642149819148, 2.225134621498673, 2.231730012269008, 2.200728161874739, 2.1492709694368726, 2.1252314422628724, 2.066262680160339, 2.0025985867491665, 1.9477361760375322, 1.8739604102982599, 1.755823101484847, 1.6867108988745116, 1.5869834921299202, 1.4773995694599562, 1.3727654150861537, 1.2636153523882914, 1.1173625737915298, 0.9952064031619898, 0.8635326896719113, 0.741076192548585, 0.5910434732561675, 0.46327176213088334, 0.32178214297609126, 0.16614233702518413, 0.025069278345597794, -0.12326934094586588, -0.2462059270142668, -0.4196210488197695, -0.5668879166937838, -0.7173516716093884, -0.8257101381866003, -0.9585693015356634, -1.1013321425105713, -1.2220573779015462, -1.3239177201853927, -1.4393298387796885, -1.557627486901162, -1.6608946421958029, -1.7554861222323372, -1.8337794289935296, -1.9127144808621876, -1.979535241292549, -2.0433774573591474, -2.1120470095563477, -2.1483018266470264, -2.180883025034572, -2.217983848979695, -2.2304831282066133, -2.2452489639416675, -2.246170847976248, -2.2395690469844904, -2.2188276967125344, -2.1821196995203316, -2.146126315497194, -2.0837670308012344, -2.0439055403883275, -1.9735262352459773, -1.8970226496717975, -1.8266168709075665, -1.7334584474454258, -1.660901576322007, -1.5204558263680108, -1.4190618868286562, -1.2789422248071256, -1.1877252763439157, -1.054392585487734, -0.9212452938721696, -0.7950964908505438, -0.6745562520159583, -0.49826518405513437, -0.37948031366164997, -0.23708995615956863, -0.08725678609048396, 0.073147493839445, 0.20990447323460035, 0.3544469393342288, 0.48593700433043285, 0.6438420069668115, 0.7643327555427043, 0.8876171203295482, 1.03160016956418, 1.1587940901104763, 1.2707727151146018, 1.390986681002149, 1.500409509500935, 1.6241226529488668, 1.7046063009307126, 1.8054634276773491, 1.8891820204555445, 1.9655594117146598, 2.029520559531357, 2.0840529661314946, 2.1062010284599357, 2.15252903280277, 2.1930346480855127, 2.217598872740748, 2.2294324653359165, 2.2408282410608225, 2.2344319886149635, 2.202519219409322, 2.200928716306577, 2.161410067515706, 2.11219911394216, 2.063085785731025, 2.0139233768425333, 1.9340005987372366, 1.8613689515648975, 1.757020288028991, 1.6767896211717435, 1.5737817850479363, 1.466465629497689, 1.3578610890421492, 1.244234256956694, 1.1202016389112457, 0.9933546899129228, 0.8337498519591335, 0.7253256328810396, 0.5888224660049989, 0.4301609801415046, 0.30476456671577024, 0.16465720153097674, 0.01079544530518564, -0.13831201317584782, -0.2805911669398554, -0.4337770084805186, -0.5696694201292929, -0.701592236562122, -0.8267640723477113, -0.9655434458629674, -1.1210938040259073, -1.23616144090774, -1.3506953193467743, -1.453725064880258, -1.564791359977303, -1.6372952056342907, -1.7527563629324947, -1.8407796464652846, -1.9179733143268183, -1.9920210504096068, -2.044027510778432, -2.111275175430448, -2.164550451417236, -2.184141535821497, -2.204146047624646, -2.229872351785713, -2.2423725167063564, -2.2111713770331525, -2.237808205668056, -2.204826287649982, -2.167829133255086, -2.136763425711475, -2.0866343661228353, -2.033527086484883, -1.9591642605376907, -1.8894091717647628, -1.8064331809463738, -1.7273181311245323, -1.619293020570493, -1.5375097104538742, -1.4050719141302537, -1.2692152533731542, -1.169626041292882, -1.0486792519710757, -0.9118114479850434, -0.7830118666674062, -0.6293580920084568, -0.4935546479549407, -0.3653595472196983, -0.22891337079250845, -0.07244141520298064, 0.07271273420489702, 0.2195117986451127, 0.3703077765286118, 0.5201553396140068, 0.6385987925089397, 0.7661430136884407, 0.9039705690050359, 1.0379709153157273, 1.1815905911067743, 1.274008999974935, 1.4094123050888798, 1.5056794072084376, 1.6194769620725133, 1.7132164223273891, 1.7899553906522148, 1.8952710984452432, 1.9537089859030812, 2.031602556282215, 2.104780839488134, 2.1248727374672423, 2.1796155218342403, 2.1967255635961522, 2.209537042579082, 2.252952054651061, 2.2408405786580974, 2.235708700243279, 2.2013060909329467, 2.1825089611509467, 2.1497807771694633, 2.109761025019341, 2.0660268288269057, 2.0006264739555335, 1.921222382257624, 1.8397945549061505, 1.757964285016307, 1.6667821429596734, 1.56354841067833, 1.4591820514918021, 1.3598513931560312, 1.2242920399898267, 1.0971357970309978, 0.9809496526096013, 0.837203020922378, 0.7063772346942553, 0.5566701715924014, 0.4288535497145171, 0.2819590768524297, 0.1311034868377295, -0.010644190928357371, -0.15320835855495932, -0.27590226725578126, -0.4425559974217385, -0.560587212503796, -0.715048942041769, -0.8656298711159701, -0.9842282768551694, -1.1117231854259393, -1.226778639913475, -1.3593815917907763, -1.4582329483263896, -1.5658860364321228, -1.6866060547274886, -1.7790274539768909, -1.8704666238368963, -1.921688789225417, -2.0133152850787437, -2.0497175404892074, -2.100016737266488, -2.1355442355013134, -2.1853457734824264, -2.20915123359232, -2.2330616695802954, -2.25404367352605, -2.2478849327810315, -2.229426714269939, -2.1965766615576316, -2.175962915415741, -2.136906643340486, -2.065009372456925, -2.031945714876711, -1.9702330953630334, -1.8742450557237265, -1.7915113275855032, -1.7013082459804336, -1.6203291602248031, -1.5161321650419741, -1.3851010517504816, -1.2872786174785396, -1.1603623104699756, -1.0206715014871672, -0.9119948731047427, -0.7769867773720173, -0.6354488059737555, -0.48880103391689245, -0.36097960729852335, -0.21740914477944803, -0.0651161728839634, 0.0915026047106483, 0.23384196840440724, 0.36986258258176885, 0.5210334737070799, 0.6439001402977881, 0.7937247741116238, 0.9269400863304833, 1.0704635988492899, 1.1867298835381774, 1.283635330083552, 1.4062660197774162, 1.5320043522682742, 1.6116116563213265, 1.7264403287856527, 1.8103851251903027, 1.8964025080953038, 1.9633968336190901, 2.043821766102599, 2.0872857004846956, 2.143269874693359, 2.1815848518478758, 2.1943648570314616, 2.2295318462820504, 2.231734213764593, 2.2427174465776103, 2.2198152856507756, 2.210153749044225, 2.19043182959843, 2.153842707402778, 2.0964472298985837, 2.054652093981232, 1.993463609091528, 1.9044343576265332, 1.8228617744216982, 1.7591005049139914, 1.6473176900445117, 1.55917115603701, 1.4490695577247485, 1.3318858072742106, 1.2335339612203993, 1.0832610161864393, 0.9564664652385088, 0.8382168663698828, 0.6983724921211533, 0.5571794047649142, 0.41689642017256356, 0.26488856397927807, 0.11541235150400361, -0.0034682680633047885, -0.17552684424681222, -0.32840940696789694, -0.45888226200989757, -0.5846876435824331, -0.7516113427802368, -0.8754949362301178, -0.9899185179373472, -1.1393731847680615, -1.2479885730680766, -1.3675328975196575, -1.4789929653521636, -1.579231341709279, -1.6971704027930707, -1.7674905867998458, -1.873207874526329, -1.9428123329436033, -2.010154357419321, -2.062601462396041, -2.134074727596032, -2.1447553821224754, -2.1972878450862967, -2.210863314732511, -2.246056097491676, -2.244655503054217, -2.258150673091739, -2.213942469385537, -2.2099856411394723, -2.1795647527665056, -2.121632791382155, -2.1085033644574933, -2.0208426351170523, -1.9337186784251028, -1.8863384660502924, -1.8020284241327824, -1.693139915414249, -1.6164978020941294, -1.4857660352556965, -1.3781923295048104, -1.2671916877435723, -1.15997824476619, -1.024379538671602, -0.8949254304682377, -0.7563413512268994, -0.615978832924382, -0.4836451376064257, -0.3409671154328664, -0.18416519099036185, -0.02321582587644203, 0.08651806750095217, 0.2509877289711096, 0.39249555019830695, 0.5339962321754816, 0.671560396910593, 0.8007629085824309, 0.9413676592999497, 1.0667035611037825, 1.20042133656078, 1.3196743034244631, 1.405664854709734, 1.540273685731331, 1.6429646849434774, 1.7464987418406555, 1.8240684559269935, 1.900189670661618, 1.9860288079348147, 2.03325070468707, 2.080910133653777, 2.1490558212130173, 2.1935219021460157, 2.205383598219062, 2.220653734834336, 2.2500509790651595, 2.243536800141631, 2.2267007202694717, 2.2136084815655517, 2.173559480130073, 2.149923871517124, 2.0810353698348174, 2.037505678185042, 1.9812382547872784, 1.9128356760275511, 1.827639261394646, 1.7539943383370142, 1.6513991156852763, 1.5432740444504982, 1.4378306441253998, 1.3321946863306384, 1.209918002141282, 1.0781235038972852, 0.9664870457370212, 0.8092563483116406, 0.6968978632289156, 0.527798285499796, 0.38781801461863163, 0.24533274003115527, 0.1238988495723305, -0.03904547963910008, -0.1811823894305775, -0.33640370242462303, -0.4705596986811453, -0.6087792854352455, -0.7388756824950725, -0.8765418991601776, -1.018263173703861, -1.152455948583088, -1.2640127928441995, -1.3606563069129918, -1.4870542708484413, -1.6064475778791738, -1.7092964917670548, -1.7950988733589304, -1.8720992064769686, -1.9329309448770182, -2.0393778199118673, -2.069388942199535, -2.13257204377526, -2.1576568280619557, -2.194914153191044, -2.199385419118961, -2.2334001779260513, -2.223470234438959, -2.243184479634937, -2.2234832257472212, -2.2167402618580203, -2.162799372590963, -2.125163311276216, -2.0677814265156154, -2.014127117880477, -1.930410389617744, -1.8709931472312749, -1.7792795177851497, -1.6769605302220743, -1.5770951149309373, -1.4855007470930324, -1.3766031493815776, -1.256605296349218, -1.1219202667532016, -1.0098312166821322, -0.8777268953706021, -0.7522954049858774, -0.6132894152825126, -0.458827819595969, -0.3306365880322494, -0.1741347032358791, -0.03517805569857128, 0.10645323350113942, 0.24906388133236626, 0.42519750896090835, 0.5484392776499167, 0.6689067324626866, 0.8443354809577042, 0.9541981187502359, 1.0748292304130966, 1.2047788124640482, 1.3425561576460772, 1.433487745818676, 1.5444959662751592, 1.6558363882253593, 1.742533528990785, 1.845851798095266, 1.9040393059777416, 1.9764038041794134, 2.042783453781393, 2.0984180973117432, 2.150341194953399, 2.181647055671588, 2.204037939886603, 2.2345439227614197, 2.2305932076197554, 2.2463615923620366, 2.208839607306949, 2.2112766421636563, 2.179596784888063, 2.1463878183037504, 2.10092125945542, 2.040684403262556, 1.9970838331629803, 1.9103116396617288, 1.8418505034712875, 1.7383275243604892, 1.6339997122269019, 1.5170963172203948, 1.4328045134745488, 1.3207864658282897, 1.1815795144994876, 1.0692923020048526, 0.9251067819036636, 0.8137416319356823, 0.6750745454276013, 0.5100919719272105, 0.371664580725099, 0.22206505497827658, 0.10154063211365444, -0.04351129656239055, -0.18358298142467447, -0.3474087308397035, -0.4837252966513068, -0.6276285674571396, -0.7672498789283017, -0.9024127326917423, -1.0370606784444847, -1.1472064246634626, -1.2585329916211034, -1.3809832658099348, -1.5047326372800984, -1.606296292508396, -1.6990608398029214, -1.7921385848479157, -1.8857867515135762, -1.9474731236760865, -2.0138327558404034, -2.0869348648488675, -2.1260833725971615, -2.170394858426958, -2.19517333875465, -2.228997442951537, -2.2162855426999135, -2.2532839362089727, -2.2155484234632046, -2.227000099054841, -2.1887403245494497, -2.1715580093174247, -2.125580520630386, -2.0754720462783753, -2.011425633730613, -1.9470648868958467, -1.839099918186215, -1.7657826838140156, -1.6868558369144706, -1.5748541515658736, -1.456314426148023, -1.356318134280146, -1.2338917014964028, -1.1134513436108247, -0.9836881770846346, -0.8563684099030583, -0.7409386624156397, -0.5765622184629948, -0.4501615040766246, -0.30444633890458517, -0.18393562093340327, -0.025916095053508607, 0.13936290244634003, 0.2814651970567845, 0.4230064460673798, 0.5423073508493926, 0.6984565096802062, 0.8320155230865938, 0.9727502576615674, 1.093012080311281, 1.2110074809245026, 1.3315746152879593, 1.4259269051195695, 1.5560472603281568, 1.6580953556836329, 1.7397221414212094, 1.8351697891178258, 1.9454711379932388, 1.9815728348562778, 2.0623004233717035, 2.1062882261379623, 2.1529992761890107, 2.195700051313625, 2.1899313094733537, 2.2365890972132068, 2.2286141241333337, 2.2442206753481058, 2.2303451912232037, 2.189554137549945, 2.1924064738137043, 2.145753397112618, 2.0921785360121286, 2.0571420112931036, 1.9616739741607587, 1.8943010873168367, 1.8258984145980368, 1.7354202282021176, 1.6354333859922252, 1.518892644357197, 1.4217729662136684, 1.3323840395710957, 1.193929289442458, 1.063717973673562, 0.9601899282252565, 0.8036036091191668, 0.6610169175699463, 0.5119447985152764, 0.36776985574893006, 0.21664289607090725, 0.08304496888233136, -0.0670600593725227, -0.2078894101389987, -0.34787136651785217, -0.49849543269453866, -0.6240103448984875, -0.7731287639799926, -0.9106772732714007, -1.0292378509907578, -1.1620779260555016, -1.295641494390173, -1.415740813848043, -1.5150788411460478, -1.5989604305629586, -1.7070638069185289, -1.7959530364383574, -1.8864285111778076, -1.9552395140542538, -2.0168206117297487, -2.0844125496281833, -2.145599265264562, -2.1796550770955694, -2.2104994786740946, -2.199047792604915, -2.233215287086029, -2.2416338600995607, -2.2461278810637606, -2.2085919998179158, -2.186769728757056, -2.155584866286036, -2.108841317781146, -2.072405037473602, -1.999938172393589, -1.9293398797962578, -1.845121111876479, -1.757571060920607, -1.7019846133291112, -1.5770509575145466, -1.4593483997925356, -1.3387830441314827, -1.2477672713600243, -1.1143695709224948, -0.978937661718614, -0.8470795576661481, -0.7296002118600128, -0.5893364278970069, -0.45820556016309566, -0.29821246513044997, -0.1575566285323893, -0.02554141296670609, 0.1453667334752089, 0.2828138278562118, 0.4346372609200084, 0.5740260904561406, 0.7176535248213336, 0.8424056523793292, 0.9780729073308329, 1.1048275678313118, 1.2400039330457457, 1.3562732776221276, 1.466969009248562, 1.5554281678056228, 1.689126327567886, 1.7576610560967971, 1.8452286536808822, 1.9429792330989746, 1.9971647148287013, 2.0540361118416492, 2.1179463002775405, 2.1446084111759656, 2.172780619863381, 2.208188439288001, 2.249580534671716, 2.2303219320838505, 2.2332007617935123, 2.2267672560194813, 2.209689471176868, 2.1773123214716223, 2.125097761762836, 2.101357768508214, 2.0274176880752237, 1.9746042720301953, 1.8773175789429424, 1.8114964805644456, 1.7233988693116427, 1.6129070404017698, 1.5244126382371794, 1.393130706461406, 1.2811782810814503, 1.1772145948774626, 1.0292527167473795, 0.9205774205385683, 0.7682747089402735, 0.6489483400776365, 0.4833260338976827, 0.3554497995966398, 0.21979988429005623, 0.08845251418379703, -0.08338341538659555, -0.23855800922206377, -0.3758153683708913, -0.5005507182834883, -0.6274992130440183, -0.7912356761356513 ]
You are given two time series following similar pattern. Both of them have an anomaly. What is the likely type of anomaly in each time series?
[ "Time series 1 with cutoff anomaly and time series 2 with speed up/down anomaly", "Time series 1 with flip anomaly and time series 2 with speed up/down anomaly", "Time series 1 with cutoff anomaly and time series 2 with flip anomaly" ]
Time series 1 with cutoff anomaly and time series 2 with speed up/down anomaly
multiple_choice
[ 0, 0.9369524961210771, 1.7300005514490322, 2.2571841809933377, 2.4370859299935046, 2.241246486166373, 1.6985045327164074, 0.8905990438208264, -0.06029535715834894, -1.0101992030044813, -1.815284079472039, -2.3538054875538963, -2.5446680577509344, -2.3597920464911866, -1.8283953074739396, -1.0325377662139599, -0.09460783534114142, 0.8413409921498697, 1.6315573281568256, 2.1545130057703035, 2.329435304358727, 2.1286242442132424, 1.5816766464662688, 0.7709728176603567, -0.18088589089616838, -1.12977296159062, -1.9320150315244258, -2.466301110496655, -2.6521816881070723, -2.462336741022528, -1.9267418521130824, -1.1280971364127046, -0.1892160318387891, 0.7457029210454373, 1.5330653830631586, 2.0517783838233963, 2.221716182274764, 2.015938901331734, 1.4648006772741735, 0.6513208588684251, -0.30147588290236377, -1.2493199866924645, -2.048697135015747, -2.578733218877382, -2.759626823442175, -2.5648184051021623, -2.025040442588253, -1.223630941421499, -0.28382495063940494, 0.6500379502914386, 1.434524462988308, 1.948980179917724, 2.1139285670739496, 1.903190598913254, 1.3478768830293637, 0.531643502505738, -0.4220649720392516, -1.3688399461664333, -2.165330137446145, -2.691101678344494, -2.8670034680406333, -2.6672371809971236, -2.123291337454357, -1.3191395166552462, -0.37843495286938844, 0.5543457481193388, 1.3359343161140562, 1.8461182605859419, 2.0060724639927052, 1.7903794800994577, 1.2309055229506116, 0.41194108433905313, -0.5426527971942631, -1.4883325086213313, -2.281913787680774, -2.8034063563158274, -2.9743116280908586, -2.7695932127226994, -2.2214947965922054, -1.4146231982302306, -0.47304639962498984, 0.4586259835176295, 1.237294691990642, 1.7431924941319825, 1.898147880171385, 1.677505689778278, 1.113886857578978, 0.29221394083184904, -0.6632389972899284, -1.607797343427622, -2.3984478359567407, -2.915647121982313, -3.0815513116851037, -2.8718866460384604, -2.3196510812013207, -1.5100823229547542, -0.567659651962328, 0.36287832624101213, 1.138605341543796, 1.6402027506346943, 1.7901548246540866, 1.5645693745798983, 0.9968211487706127, 0.1724624091349105, -0.7838232112940323, -1.7272341207265636, -2.514932033890063, -3.027823846311624, -3.188722528819242, -2.974117628444164, -2.417760453792654, -1.6055172283197898, -0.6622750708873364, 0.2671024468196014, 1.0398660170815854, 1.5371489019514661, 1.68209330838839, 1.4515706828726476, 0.8797086596894617, 0.052686827077053744, -0.9044050782294499, -1.8466425114394094, -2.6313661344826165, -3.13993640205175, -3.29582529139249, -3.076286309175702, -2.5158231781812916, -1.7009282524896165, -0.7568930173456654, 0.17129801656806187, 0.9410764723013366, 1.4340308217217883, 1.5739633442250625, 1.3385097647589193, 0.7625496547999071, -0.06711246684431382, -1.0249842371844438, -1.9660221872765504, -2.747749892128925, -3.2519846637345644, -3.402859613207073, -3.178392839200927, -2.6138395194791237, -1.7963157342923934, -0.8515138522127534, 0.07546470759480728, 0.8422364622965169, 1.3308483853707562, 1.465764946917695, 1.225386772070971, 0.6453443998594908, -0.18693513347265345, -1.1455603273223998, -2.085372820746624, -2.8640830626230427, -3.3639685076792705, -3.5098255099678455, -3.2804373712154384, -2.7118097440874847, -1.8916800132107476, -0.9461379362837251, -0.02039780718897788, 0.7433457435634734, 1.2276014701125606, 1.3574981331222966, 1.1122018583667186, 0.5280931619114761, -0.3067808330016407, -1.2661329878922258, -2.2046940851656815, -2.980365403165325, -3.4758878119958636, -3.616722999281852, -3.3824200596383855, -2.809734119689712, -1.987021429372355, -1.0407656302634127, -0.11628985406016734, 0.6444040740082477, 1.1242899549538636, 1.2491629213968216, 0.9989551789254345, 0.4107962092774369, -0.4266492249845796, -1.3867018582379083, -2.3239856546661763, -3.0965966723691585, -3.5877424565885416, -3.7235521006578387, -3.4843410606081004, -2.9076129152437242, -2.082340323540418, -1.1353972947561553, -0.21221175847473273, 0.5454112129532955, 1.0209137206971735, 1.1407593322006744, 0.8856468907434791, 0.29345381154979755, -0.5465399683441136, -1.5072665778090446, -2.4432472042060844, -3.2127766302677645, -3.6995323231589587, -3.8303128355057106, -3.5862005319778887, -3.0054464009745776, -2.1776370371043243, -1.230033290256122, -0.30816384505844385, 0.44636692114417675, 0.9174726499442118, 1.0322873878941135, 0.772277152529905, 0.1760662395843393, -0.6664527213812784, -1.6278267861704832, -2.562478409577894, -3.3289050383207286, -3.8112572952096455, -3.937005227135936, -3.6879986333114383, -3.1032348483669097, -2.272911912069925, -1.3246739771369778, -0.4041464375982535, 0.3472709607562072, 0.8139666270990513, 0.9237471127376515, 0.6588461247020685, 0.05863376549267074, -0.7863871417854813, -1.7483821230125165, -2.6816789474177756, -3.4449816594207254, -3.922917258047132, -4.043629300758903, -3.7897355258786276, -3.200978530157408, -2.3681652910504085, -1.4193197156418984, -0.5001598590328404, 0.2481230954010698, 0.7103955383714977, 0.8151385328913712, 0.54535396938109, -0.058843337365311665, -0.9063428866436515, -1.868932228160829, -2.8008484952142263, -3.5610062579000883, -4.034512098785191, -4.150185083484201, -3.891411372650804, -3.298677720327226, -2.463397517256277, -1.5139708658737312, -0.5962044314439774, 0.14892309013336336, 0.6067592717800749, 0.706461676414204, 0.43180085038752325, -0.1763647943891542, -1.02631961244994, -1.9894767415866839, -2.9199867313174734, -3.6769785995373603, -4.1460417063479635, -4.256672604319904, -3.9930263382964295, -3.3963326940943945, -2.5586089344863394, -1.60862778778481, -0.6922804760474202, 0.04967071145724655, 0.5030577171553041, 0.5977165732631327, 0.31818693323657765, -0.29393032974518785, -1.1463169751152362, -2.110015303416547, -3.039093334948073, -3.792898451563781, -4.2575059714730505, -4.363091894171715, -4.094580589176422, -3.4939437279060375, -2.6537998871176525, -1.7032908411671577, -0.7883883131840095, -0.04963427266731779, 0.3992907661426457, 0.48890325529239287, 0.2045123851336912, -0.4115396663745696, -1.2663346299767302, -2.230547553942617, -3.1581679862059824, -3.908765582669873, -4.368904786714538, -4.469442985842157, -4.196074293339548, -3.5915110994309796, -2.748970720096314, -1.7979603856421695, -0.8845282623107655, -0.1489920928177988, 0.29545831220556495, 0.380021756252543, 0.09077737496980554, -0.5291925260006902, -1.3863722318074654, -2.3510731336322643, -3.277210366079424, -4.024579763011623, -4.480238046446032, -4.575725914029617, -4.297507620517747, -3.6890350875516256, -2.844121778927707, -1.892636780650792, -0.9807006419920385, -0.2484029781029331, 0.1915602506284757, 0.2710721117895747, -0.02301792668331748, -0.6468886291370446, -1.506429434826067, -2.4715916831385156, -3.3962201564537517, -4.140340764217185, -4.591505646863499, -4.681940715327411, -4.3988807421214355, -3.7865159723566117, -2.9392534096669296, -1.9873203854436674, -1.0769057698905584, -0.3478671561562432, 0.08759647851968921, 0.16205435944387014, -0.13687334757779857, -0.7646276950949458, -1.6265058927061862, -2.592102843309833, -3.515197040120326, -4.256048359392962, -4.70270748598824, -4.7880874282227595, -4.5001938312346565, -3.883954035132751, -3.034365958909207, -2.0820115590710793, -1.1731439627586386, -0.44738485312971354, -0.01643310518577845, 0.05296853864921225, -0.25078871379458745, -0.8824094419914683, -1.7466012585860984, -2.712606255199962, -3.6341407007851183, -4.371702323130136, -4.813843463669722, -4.8941660930956985, -4.601447062610414, -3.9813495583572625, -3.129459773780087, -2.1767106603724824, -1.2694155364295197, -0.5469562936876065, -0.1205285997233978, -0.056185309268358186, -0.364763849748039, -1.0002335867570333, -1.8667151850786077, -2.8331015600780463, -3.753050823078085, -4.48730243151071, -4.924913481588272, -5.000176752218003, -4.702640612665773, -4.0787028256899225, -3.2245352019261624, -2.271418047967363, -1.3657208058084696, -0.6465817010000268, -0.22469010249627974, -0.16540714109167665, -0.47879857819098426, -1.1180998451433635, -1.9868473242805447, -2.95358839943874, -3.8719270925611666, -4.602848462113851, -5.035917443257926, -5.106119449751947, -4.803774659476707, -4.176014121965315, -3.3195925915049003, -2.3661340802447812, -1.462060084863904, -0.7462612967368223, -0.32891770907260387, -0.27469691171362287, -0.5928927202195333, -1.2360079317317683, -2.106997327782295, -3.074066415012037, -3.9907691957374656, -4.718340194022151, -5.146855254029061, -5.211994231749148, -4.904849382773566, -4.273283733184859, -3.414632291175504, -2.4608591153532706, -1.558433686618786, -0.8459953010615116, -0.43321151318283446, -0.38405457413844024, -0.7070460952783337, -1.3539575599404192, -2.227164846677625, -3.1945352487730188, -4.109576820060012, -4.833777407827683, -5.257726821090987, -5.317801146149209, -5.00586496393584, -4.37051194650847, -3.5096546500886774, -2.5555935111913666, -1.654841923142099, -0.9457839326251127, -0.5375716067171692, -0.4934800794829681, -0.8212585211651651, -1.4719484420326996, -2.347349531573515, -3.3149945429522973, -4.228349653940338, -4.949159885638023, -5.36853205347455, -5.423540242778472, -5.106821585987072, -4.467699050247244, -3.604660017877464, -2.6503376253971718, -1.7512851055397536, -1.0456274085597776, -0.6419980797230216, -0.6029733769780776, -0.9355298140362494, -1.5899802891252617, -2.467551032599736, -3.4354439400454027, -4.347087386757013, -5.064487411082341, -5.479270862054774, -5.529211573348542, -5.207719433589851, -4.56484533385505, -3.6996487446470483, -2.745091815338622, -1.847763543946417, -1.145525944473256, -0.746491020402495, -0.7125344139700016, -1.049859788411403, -1.7080528111959485, -2.5877689994184436, -3.555883082823209, -4.465789708864406, -5.179759769317717, -5.589943159553141, -5.634815191454939, -5.308558693040778, -4.661951087920433, -3.7946211809652315, -2.839856438103759, -1.944277547516415, -1.2454797544426084, -0.851050515109816, -0.8221631359218833, -1.1642482571791168, -1.8261657170917394, -2.7080030812339793, -3.676311614341655, -4.584456311601409, -5.294976747034603, -5.700548860540131, -5.7403511525755295, -5.40933955226504, -4.759016604158639, -3.889577677852816, -2.9346318504903888, -2.040827424415612, -1.3454890510082151, -0.9556766483491361, -0.931859486415207, -1.2786950316016523, -1.9443187145369603, -2.8282529268031045, -3.7967291779515326, -4.703086887299899, -5.410138132463056, -5.811087881437617, -5.845819514069023, -5.510062200811471, -4.8560421754036245, -3.9845185867737865, -3.0294184089963694, -2.137413481812371, -1.445554045167949, -1.0603695027720454, -1.04162340715144, -1.39319992132054, -2.0625115101415172, -2.9485181844439436, -3.9171354173084656, -4.821681129293112, -5.525243715378657, -5.92156014052115, -5.951220335173389, -5.610726829847033, -4.953028095599807, -4.079444259625054, -3.124216469809839, -2.2340360258694867, -1.5456749463714359, -1.1651291591753425, -1.1514548379536258, -1.5077627343615814, -2.1807438094089466, -3.068798502046242, -4.037529976383304, -4.940238731924586, -5.640293287108278, -6.031965557922207, -6.056553677004215, -5.71133363215161, -5.049974659793769, -4.1743550487275005, -3.219026388799108, -2.330695361735261, -1.645851962513941, -1.2699556964986627, -1.2613537167680264, -1.62238327714044, -2.2990153167444225, -3.189093527081217, -4.15791249947119, -5.0587593905561805, -5.755286640535756, -6.142304055630435, -6.161819602552909, -5.811882802112715, -5.1468821641261755, -4.269251306815699, -3.3138485215029707, -2.427391793535198, -1.74608529993092, -1.3748491918224706, -1.3713199796658646, -1.7370613544679192, -2.4173257354633835, -3.3094029066112283, -4.278282631202002, -5.177242801576965, -5.870223570107937, -6.252575557495856, -6.2670181766851005, -5.912374535720026, -5.243750905823717, -4.3641333870280405, -3.4086832231202715, -2.524125624363667, -1.8463751633919552, -1.4798097203658043, -1.4813535608451835, -1.8517967695553037, -2.5356747677993106, -3.4297262872993772, -4.398640016549951, -5.295688662411476, -5.985103871840073, -6.3627799892309485, -6.372149466138752, -6.012809030559851, -5.3405811831904355, -4.459001642897063, -3.503530848500857, -2.620897156275417, -1.9467217560953878, -1.584837355484177, -1.5914543926325302, -1.9665893240199122, -2.6540621149124184, -3.5500633154198153, -4.518984300844012, -5.4140966715280125, -6.099927343321804, -6.472917278412677, -6.477213539522289, -6.113186485809714, -5.437373295599901, -4.553856428339746, -3.598391752135299, -2.717706690276766, -2.0471252796623465, -1.689932168667565, -1.7016224054849194, -2.081438817890684, -2.7724874768977825, -3.670413636867024, -4.639315129776945, -5.532466528447083, -6.214693783722472, -6.582987354484593, -6.582210467312716, -6.213507102232894, -5.53412754348648, -4.648698097647544, -3.6932662881446237, -2.8145545263179454, -2.1475859341314627, -1.79509422953846, -1.8118575279917861, -2.196345049613669, -2.8909505527935657, -3.7907768971662112, -4.759632149415638, -5.650797933750159, -6.3294029937970215, -6.6929901487587, -6.68714032185369, -6.3137710821728135, -5.63084422833716, -4.7435270054764, -3.788154810271299, -2.911440963284341, -2.2481039179530327, -1.9003236058498412, -1.9221596868769435, -2.311307816057546, -3.009451040589437, -3.9111527414826157, -4.879935006211007, -5.769090589087302, -6.4440547758912174, -6.802925594417445, -6.792003177353478, -6.413978629547083, -5.727523652683338, -4.838343506837018, -3.8830576718689787, -3.008366298988016, -2.3486794279836176, -2.0056203634834047, -2.0325288070005727, -2.426326912519348, -3.1279886372354397, -4.031540814631848, -5.00022334700769, -5.887344197185928, -6.558648933947424, -6.912793626515542, -6.896799109882851, -6.514129949842561, -5.824166120092009, -4.933147957085274, -3.97797522589214, -3.105330830160127, -2.4493126594807246, -2.1109845664475624, -2.1429648113614195, -2.541402132730276, -3.2465630386493585, -4.1519407610895644, -5.120496819053727, -6.005558461858835, -6.673185273509849, -7.022594181981752, -7.001528197373091, -6.6142252501087535, -5.920771935157731, -5.027940711911579, -4.072907824887774, -3.202334852441748, -2.5500038060968877, -2.216416276875942, -2.2534676210987947, -2.65653326886111, -3.3651739397264704, -4.272352225001211, -5.240755070010438, -6.1237330880129, -6.7876636017302605, -7.132327199620651, -7.106190519613637, -6.714264738952789, -6.017341403494045, -5.122722127331885, -4.167855820983806, -3.299378660376064, -2.6507530598751456, -2.3219155550253423, -2.364037155494988, -2.771720111528471, -3.4838210343469562, -4.392774850191981, -5.3609977479626885, -6.241867781656587, -6.902083727372636, -7.241992620114429, -7.210786158250069, -6.814248626533326, -6.113874831724559, -5.217492559677236, -4.262819565880127, -3.396462547400911, -2.7515606112427298, -2.4274824592742097, -2.4746733319771432, -2.8869624498001185, -3.602504015384954, -4.513208280177204, -5.481224501427862, -6.359962249908473, -7.016445460819554, -7.3515903860243, -7.31531519678175, -6.914177124554477, -6.210372527475139, -5.312252365584004, -4.357799410839638, -3.4935868058391506, -2.852426649006227, -2.533117046121143, -2.585376066120006, -3.0022600712011345, -3.7212225747168493, -4.633652158171426, -5.6014349793660365, -6.478016201005726, -7.130748614076288, -7.46112044179238, -7.419777720559368, -7.01405044626041, -6.306834799365002, -5.407001901984108, -4.452795706676708, -3.590751726891787, -2.9533513603467605, -2.638819370183059, -2.6961452716479153, -3.1176127617196676, -3.839976403230327, -4.754106127098881, -5.721628831190151, -6.596029344311537, -7.2449930007770575, -7.5705827337430955, -7.52417381678293, -7.113868806429172, -6.403261956997778, -5.501741526094542, -4.547808803748927, -3.6879576006294146, -3.0543349308138406, -2.744589484193807, -2.806980860437325, -3.2330203058132145, -3.958765190832239, -4.874569829603138, -5.841805706774936, -6.714001390323535, -7.359178436189762, -7.679977210084564, -7.628503574498904, -7.213632421366386, -6.4996543109536145, -5.596471595408272, -4.642839051946808, -3.7852047159838262, -3.1553775443210066, -2.8504274390028232, -2.9178827425193665, -3.348482486414115, -4.0775886264575885, -4.995042908057596, -5.961965256467191, -6.83193205068229, -7.473304737220704, -7.789303820910272, -7.732767084597934, -7.3133415089001605, -6.596012172780072, -5.691192467683885, -4.737886800683671, -3.8824933607406487, -3.256479383140421, -2.9563332835734557, -3.028850826082138, -3.4639990849358315, -4.19644639807854, -5.115525004574585, -6.082107131095235, -6.949821038178094, -7.5873717224205235, -7.898562518200334, -7.836964439812544, -7.412996288373941, -6.69233585498358, -5.785904500935226, -4.8329523988867304, -3.9798238215310056, -3.3576406278975943, -3.0623070649818223, -3.1398850174733592, -3.579569881279286, -4.3153381927123675, -5.236015761015742, -6.2022309819791515, -7.06766806676051, -7.701379211988814, -8.007753255822733, -7.9410957347141204, -7.512596980640912, -6.788625671020867, -5.880608053422275, -4.928036194986856, -4.077196383823215, -3.4588614575667846, -3.1683488284154158, -3.250985221203124, -3.6951946538384632, -4.434263696430514, -5.3565148190023715, -6.32233646093967, -7.185472851545098, -7.815327027778711, -8.116875989534824, -8.045161065710497, -7.612143808058378, -6.884881935289765, -5.97530348364064, -5.023138536909158, -4.174611331915526, -3.56014204946581, -3.2744586171717915, -3.3621513399461467, -3.810873179506829, -4.553222594367815, -5.4770218199245875, -6.442423220308393, -7.303235108821779, -7.92921499330274, -8.22593067698438, -8.14916053104351, -7.71163699448055, -6.981104963121197, -6.069991150311861, -5.118259772062777, -4.272068948927765, -3.661482579250917, -3.3806364726575393, -3.4733832745449558, -3.9266052336838815, -4.672214570729901, -5.597536404951688, -6.5624909129371805, -7.420954556063055, -8.043042933736968, -8.334917277710835, -8.253094230785766, -7.811076765252836, -7.077295070770051, -6.1646714123728845, -5.213400247332035, -4.36956951679369, -3.7628832209123066, -3.4868824343869234, -3.584680924012428, -4.042390590280435, -4.79123930880357, -5.718058215042698, -6.682539192208348, -7.538630911931202, -8.156810675926142, -8.443835753146452, -8.356962266838284, -7.910463347206104, -7.173452575406008, -6.25934462896692, -5.308560309066378, -4.46711331625271, -3.8643441467690214, -3.593196539980882, -3.696044185534351, -4.158229021726041, -4.910296490964859, -5.838586890954809, -6.802567712043489, -7.656263896286416, -8.270518048388688, -8.552686066617307, -8.460764742927516, -8.009796968649148, -7.2695777951054765, -6.35401115943304, -5.40374030307036, -4.564700626842742, -3.965865527464228, -3.6995788251660664, -3.807472954472762, -4.274120298974793, -5.029385798687128, -5.959122073255322, -6.922576126913637, -7.773853230194934, -8.384164881321098, -8.661468183344356, -8.564501764602328, -8.109077859363753, -7.365671048842371, -6.448671363295769, -5.498940574594825, -0.011118801180469205, 0.0031890218468938335, 0.0027904129220013766, 0.010105152848065265, -0.005808781340235147, -0.005251698071781476, -0.0057138016575414155, -0.009240828377471049, -0.026125490126936015, 0.009503696823969031, 0.008164450809513273, -0.01523875997615861, -0.0042804606417623445, -0.007424068371191725, -0.007033438017074073, -0.021396206560762396, -0.0062947496092425085, 0.0059772046691260825, 0.02559488031037793, 0.003942330218796011, 0.0012221916522267957, -0.005154356620924533, -0.006002538501059117, 0.009474398210466388, 0.002910340012621821, -0.006355597402746391, -0.01021552194675598, -0.0016175538639752096, -0.005336488038424868, -0.00005527862320126283, -0.0022945045383195653, 0.003893489132561233, -0.012651191139226421, 0.010919922643576711, 0.027783130415524406, 0.011936397242823174, 0.0021863831605386246, 0.008817610389486107, -0.010090853428651077, -0.015832942135368875, 0.007737004168336819, -0.005381416616629597, -0.013466780973613462, -0.008805912660471066, -0.011305523046815669, -7.653762217290784, -6.7326176130906425, -5.784666498285274, -4.95549052877125, -4.372558952573355, -4.1257904099933995, -4.25384094795526, -4.738209233793863, -5.506057883594886, -6.441320671556865, -7.402401845927868, -8.243768525314469, -8.838143480682387, -9.095914053607402, -8.97879748176009, -8.50567876173543, -7.7497308145538595, -6.827256109156067, -5.879951320981126, -5.0532995454776035, -4.474385108123341, -4.232514062663819, -4.3655956207722655, -4.854361253172982, -5.625303010284823, -6.561882988321167, -7.52230457293575, -8.361135465720082, -8.951485127979131, -9.204354731315453, -9.082208878178019, -8.604699496608658, -7.845669053874866, -6.921890078680359, -5.975258138803736, -5.151153724870845, -4.576272706915002, -4.339306069451229, -4.477415135040186, -4.97056471345331, -5.744578332935996, -6.68244965142699, -7.642185133877055, -8.478457107826717, -9.06476525242956, -9.31272704344839, -9.185555491580805, -8.703668909999395, -7.941577259425328, -7.016519882093225 ]
[ 0, 0.5582175377966975, 1.0594875534668133, 1.452719714411114, 1.6979356410640847, 1.7703807793225672, 1.6630704659342566, 1.3875083179012397, 0.9725030578217274, 0.46120546752741515, -0.09332977354327984, -0.6336008896454223, -1.1035732045717332, -1.4544424427830593, -1.6496543664514491, -1.6686644666809565, -1.5090510156274959, -1.186764147028365, -0.734485346610306, -0.1982660827306894, 0.36720869783038823, 0.9042450480848286, 1.3580739819549668, 1.6824845961320556, 1.844576972552114, 1.8281460140456502, 1.6353481775314218, 1.2864796772391718, 0.8178889702929842, 0.278238230530487, -0.2765016730386855, -0.7888079146397137, -1.205522072622929, -1.4833176008998104, -1.5931560683460047, -1.5232738312380112, -1.2803919522847254, -0.8890249231733786, -0.38895929017751385, 0.16883848775648522, 0.7274640618128352, 1.2299279423549048, 1.6250170049118624, 1.8725618831241588, 1.9475684846229926, 1.8427886935051643, 1.5694658564749875, 1.1561783776117163, 0.6459003608201745, 0.09158161995341668, -0.44929833680997916, -0.9206422125373257, -1.2735046633644653, -1.4711264447551087, -1.4927151881543463, -1.3355839460701653, -1.015427551081246, -0.5647083645828044, -0.029317444891954647, 0.5361454584019912, 1.073987619916409, 1.5293571739487368, 1.8558847607035658, 2.0204527263990366, 2.0066013535584615, 1.8162217825146771, 1.4693615030813483, 1.0021624220403555, 0.4631435811601168, -0.09178914286857692, -0.6050930922231865, -1.0235072286135498, -1.303530159085961, -1.4158943588465767, -1.3485764065326145, -1.1080336219984994, -0.7185399154483014, -0.21968915742750594, 0.3376771459286932, 0.8966990240019336, 1.400346226334895, 1.797283920966373, 2.0471526052846643, 2.1247191778775627, 2.0224722236618065, 1.7513945809785134, 1.33983373027191, 0.8305861875908528, 0.27649578004932795, -0.2649814688053926, -0.7376868291134058, -1.0925349250490268, -1.2925622837039474, -1.3167291171196835, -1.1620833150494398, -0.8440640765925647, -0.39491395145817587, 0.13963738376923418, 0.7050765327804015, 1.2437132133778035, 1.7006138416614878, 2.0292515831692883, 2.1962917496311274, 2.185020351779412, 1.9970631733182587, 1.6522185551618511, 1.1864210884849866, 0.648045655649855, 0.09293195728336284, -0.4213587351463493, -0.8414638944521338, -1.1237082019089675, -1.2385956587609592, -1.1738433205886794, -0.9356446276654793, -0.5480323947390877, -0.050406978270569947, 0.5065161449287476, 1.0659225863848008, 1.5707425423720687, 1.9695205603971928, 2.221707856164128, 2.301832853500249, 2.202120997188139, 1.9332943846562665, 1.5234689724873158, 1.0152627827053033, 0.4614125367756059, -0.08065044295350499, -0.554707182793892, -0.9115333142868214, -1.113961918812609, -1.1407062345034107, -0.9885490508653217, -0.6726736066103977, -0.22510195706136626, 0.30859857120520845, 0.8740020894209439, 1.413421980101233, 1.87184410430666, 2.2025851380624757, 2.3720940644355153, 2.3634029762675164, 2.177872266209704, 1.8350507070688171, 1.3706648135373718, 0.8329442842867667, 0.27766146153609367, -0.23760498839702282, -0.6593921793209683, -0.9438517915159202, -1.0612599768090596, -0.9990745278020722, -0.7632248740479914, -0.3775022259699523, 0.11888740831435718, 0.6753556551615183, 1.2351349112236432, 1.7411170278968588, 2.1417270216679576, 2.39622768513214, 2.4789095066888303, 2.3817349556040437, 2.115165161365068, 1.70708396136875, 1.1999299812248705, 0.6463317201084354, 0.10369458312403634, -0.3717034025864424, -0.7304999182027999, -0.9353253863623152, -0.9646465220114173, -0.8149810825299524, -0.5012560247544294, -0.0552722315895674, 0.4775662852336487, 1.0429222968957113, 1.5831140720752543, 2.0430480816567895, 2.375885500620777, 2.5478596937765996, 2.541749195351973, 2.35864897814042, 2.017857832917628, 1.5548934414243902, 1.0178392974308421, 0.46239920383069444, -0.0538319973735959, -0.4772921930032734, -0.7639609907834115, -0.8838873224938407, -0.8242699833247175, -0.5907742665596536, -0.20694927454465084, 0.2881941630898396, 0.8441958470211093, 1.4043361610185785, 1.911469820801925, 2.313903403881259, 2.5707121423083157, 2.6559491334249934, 2.5613140411665802, 2.297006805576332, 1.8906785544558735, 1.3845876184098096, 0.8312531599726151, 0.28805345150921946, -0.18867561800970478, -0.5494348245949231, -0.7566527234000978, -0.7885499621294172, -0.6413793397691276, -0.3298112152183835, 0.11457537438458731, 0.6465406935340909, 1.2118373238901383, 1.752789641641415, 2.2142258940409576, 2.5491527467846535, 2.7235886613955422, 2.7200589781328084, 2.539393226747447, 2.2006398073535367, 1.73910681669257, 1.2027305255186502, 0.6471450179337341, 0.12996009211811965, -0.2951640458808644, -0.584035863316213, -0.7064777061011078, -0.6494296430655366, -0.4182927112673802, -0.03637340634931152, 0.45751344655657555, 1.0130368908871608, 1.5735264985042807, 2.0818010594392753, 2.4860498067765935, 2.745161278561212, 2.832951730474422, 2.740858196871205, 2.478819212378334, 2.0742526097202423, 1.5692355297228868, 1.0161766862451198, 0.47242600399081625, -0.005623959090659492, -0.3683381219323085, -0.5779439677380007, -0.6124165381233364, -0.4677437530237831, -0.1583390627725163, 0.28444100990982657, 0.8155219636442668, 1.3807473391993141, 1.9224488414912244, 2.3853776623423215, 2.722386953195765, 2.899280991809779, 2.8983322944815635, 2.7201049303552045, 2.383396505554386, 1.923304784211442, 1.3876177990669167, 0.8318987374409059, 0.3137711338678162, -0.11300784893188753, -0.40407647344592257, -0.5290311386993036, -0.4745534636914004, -0.24578011489337936, 0.1342255122446614, 0.6268454189499357, 1.1818789571212354, 1.7427060866464206, 2.252110882617284, 2.6581663307282772, 2.9195751455072867, 3.0099172953868583, 2.9203673664529584, 2.6606022774784446, 2.257805985568224, 1.7538735508328267, 1.2011021287588342, 0.6568120820679564, 0.17745144363827614, -0.18720989935338572, -0.3991991579523064, -0.43624623403964913, -0.2940742534514422, 0.013160547233935116, 0.45432482365317794, 0.9845102629565915, 1.549652511724408, 2.092091824662701, 2.556503507995422, 2.895588197195375, 3.0749367103125023, 3.076569115041901, 2.900784007977193, 2.566127803233171, 2.1074871891767213, 1.5725009486761374, 1.0166601957805521, 0.49760098126401076, 0.06917628627165207, -0.22408288622962558, -0.3515476321392612, -0.29964140262801164, -0.07323638481709005, 0.3048476143778447, 0.7961902402366755, 1.3507222160633106, 1.9118750886382734, 2.4223994295977453, 2.8302530767432232, 3.0939537955097878, 3.186845826496163, 3.0998414943876944, 2.842355897205257, 2.441338540844054, 1.9385015176176243, 1.3860293173059945, 0.8412115269533686, 0.3605504591419273, -0.006050246663938497, -0.22041833338269567, -0.26003903470573286, -0.1203707729277308, 0.1846877288704083, 0.6242269638967433, 1.1535057587147919, 1.7185530104692155, 2.261718744537246, 2.72760355298371, 3.068756556822648, 3.2505558429721235, 3.25476941123026, 3.081430379317773, 2.7488335766407763, 2.291653877113644, 1.7573798050340044, 1.201429226217092, 0.6814494872969354, 0.25138824756618017, -0.04405516744847415, -0.1740271990539639, -0.12469341806085166, 0.09933857092277742, 0.47549303269988163, 0.9655480701114654, 1.5195668380281093, 2.0810336678973127, 2.592666840093023, 3.0023101464588806, 3.2682972816776186, 3.3637373229203438, 3.279280525893242, 3.0240799685108994, 2.624850134832878, 2.1231192661683083, 1.5709580816418907, 1.0256241795767087, 0.5436729558850868, 0.17514074566469895, -0.04160153413143619, -0.08379492573017422, 0.05336675595225682, 0.3562425956224762, 0.794147578534624, 1.3225086180100465, 1.8874490045363963, 2.431329754836426, 2.8986779198369197, 3.241892110813096, 3.426138416631707, 3.4329331552364115, 3.26204396477379, 2.9315137025684628, 2.4758046938803053, 1.942254198919164, 1.3862056618546394, 0.865316504561832, 0.43362792219890256, 0.1360066163936815, 0.003530147141722617, 0.050290531063974964, 0.2719448436263989, 0.6461618993667211, 1.1349190679935797, 1.6884129933014194, 2.250181988061702, 2.7629132542629207, 3.1743376421410465, 3.4426056578642603, 3.5405917845615784, 3.4586844069305034, 3.205774388973109, 2.8083406272635747, 2.307726632792265, 1.7558882514883984, 1.2100498805879716, 0.7268188018354347, 0.35636298649766296, 0.13725119893752313, 0.09248610649691691, 0.2271383998724592, 0.5278252603895752, 0.9640868150696179, 1.4915190077777418, 2.0563406631240655, 2.6009250096186998, 3.0697267316285073, 3.4149949385967746, 3.60168445890842, 3.6110603200241185, 3.4426246854362943, 3.1141680583506215, 2.6599394856707397, 2.1271239612048984, 1.5709893356404616, 1.0492018852619007, 0.6158951968302258, 0.3161023980716813, 0.18112439225135502, 0.22531048503884854, 0.44458252393080744, 0.8168543460378763, 1.3043033930233365, 1.8572608521366623, 2.4193202129867584, 2.9331388127120013, 3.3463356666817305, 3.6168789786666196, 3.7174092121062143, 3.638053084204731, 3.3874390567974486, 2.991809878311985, 2.4923234540165184, 1.9408196565378062, 1.3944884703609153, 0.9099878644661805, 0.537616384038385, 0.3161398241993134, 0.2688040748036227, 0.40094422479445946, 0.699435835482501, 1.1340448206103324, 1.6605370947937408, 2.2252281555221365, 2.7705046632759736, 3.2407501119731217, 3.588065120296738, 3.7771939981929634, 3.789150879331643, 3.6231724630922346, 3.2967965218672255, 2.8440580990184756, 2.3119889228623123, 1.7557800803687376, 1.2331054812115823, 0.7981899575361897, 0.4962321096404996, 0.3587555212971738, 0.40036648339379166, 0.6172517018080026, 0.987570503873523, 1.4737012040589814, 2.026110584751114, 2.5884485067416008, 3.1033436564861363, 3.5183043235970057, 3.791117299423804, 3.8941896070247575, 3.817386505166532, 3.569073870819488, 3.175257748603511, 2.6769095665917106, 2.1257521264560006, 1.5789397889964154, 1.0931800107590444, 0.7189008458306272, 0.4950642992691323, 0.4451589912359417, 0.5747842959561509, 0.8710744326210627, 1.304021741868047, 1.8295630456709029, 2.394111651108689, 2.9400688705306686, 3.411748185023659, 3.7611027367273078, 3.952667063648893, 3.9672048076723154, 3.8036872202261023, 3.479398971546541, 3.0281603807993758, 2.496848914964331, 1.9405777286836825, 1.4170271438396507, 0.9805120898108641, 0.676395682436701, 0.5364235185204587, 0.5754585648956159, 0.7899524665631357, 1.1583105035317602, 1.6431126596733008, 2.1949623613223492, 2.757567033605751, 3.2735279270700537, 3.690243717024698, 3.9653206762160886, 4.070932971571833, 3.9966846180129965, 3.750678730506934, 3.3586840992164113, 2.861484807494896, 2.310685490886495, 1.7634036763256866, 1.2763951072068376, 0.9002162787604142, 0.6740245810030834, 0.6215508670575358, 0.748658677870244, 1.0427411629318308, 1.4740177251532445, 1.9985970268557718, 2.5629913193464047, 3.1096177864322923, 3.5827210754690846, 3.9341078693922817, 4.128103685212119, 4.145222080335133, 3.9841688800214943, 3.6619752863676664, 3.2122461782352634, 2.6817037686890557, 2.125382113083506, 1.600966724192208, 1.1628614785686564, 0.8565930470798877, 0.7141283673818415, 0.7505867675471074, 0.962684906832463, 1.3290744751659769, 1.8125379181498733, 2.363816351984815, 2.926675958065222, 3.4436917663840982, 3.862153951722253, 4.139489165863594, 4.247639308786149, 4.175947371688922, 3.932253535961655, 3.542088791684598, 3.046049013933515, 2.4956195794538116, 1.9478799719139568, 1.4596330198165446, 1.08156258905791, 0.8530206254991182, 0.7979797127495043, 0.9225674343229593, 1.21443613694559, 1.644032916373046, 2.1676392046245194, 2.731867329779154, 3.2791515663538564, 3.753668908531581, 4.107080600483264, 4.303503893590174, 4.323202673385184, 4.164617366362875, 3.8445253458629702, 3.3963153388969975, 2.866553315323435, 2.3101930659237415, 1.7849240729360982, 1.3452380081469475, 1.036824133474096, 0.8918700505616677, 0.9257511285862694, 1.1354491105815467, 1.4998625484218675, 1.981977137480293, 2.5326727268259277, 3.0957754448096826, 3.613835316780974, 4.034035133064645, 4.313622825925134, 4.424308622490424, 4.355174715887694, 4.113798187921971, 3.7254716880004506, 3.230602023348649, 2.6805542217671907, 2.132368515063676, 1.6428936141120438, 1.2629396822995655, 1.032052388097912, 0.9744455380101305, 1.0965106283727455, 1.386159464595096, 1.8140674610278653, 2.3366897450800552, 2.90073985202811, 3.4486703659891775, 3.9245918099636716, 4.280021012877998, 4.4788677202616, 4.501146563664241, 4.345032603837096, 4.027049030120855, 3.580367710707572, 3.0513973862666433, 2.49501041942089, 1.9688990403618967, 1.5276415623084423, 1.2170888708094019, 1.0696485499603399, 1.1009516844854166, 1.3082451651034697, 1.670674852434802, 2.1514304753605487, 2.7015316558826203, 3.264865658728442, 3.783958721043271, 4.205887367041804, 4.487721714697052, 4.600940917291306, 4.534366601052513, 4.295312587764643, 3.9088326506179785, 3.415143673418323, 2.865489247423998, 2.316869144818013, 1.8261767551367956, 1.4443474634100377, 1.2111198233838871, 1.1509483517547128, 1.2704883223487475, 1.5579112552128436, 1.9841215042080753, 2.505748814148217, 3.0696090557883022, 3.618174341349082, 4.095489906046037, 4.4529291901384696, 4.654195197475309, 4.6790537287912075, 4.52541451773504, 4.209546219788155, 3.7644031419456425, 3.2362358130338937, 2.6798340056557794, 2.1528914763871656, 1.7100720242435286, 1.3973871875633397, 1.247463846698735, 1.2761884709505424, 1.4810731570168079, 1.8415115158272042, 2.320898089187408, 2.8703933091378935, 3.4339467649072013, 3.954062122379986, 4.377710760256804, 4.661785891211869, 4.777536198579286, 4.713522978377385, 4.476796637507012, 4.0921715424556115, 3.599673802061225, 3.050424486013631, 2.501381699964121, 2.009482307457096, 1.6257858366641196, 1.390222885186138, 1.3274881621153567, 1.4445005778497382, 1.7296916175285602, 2.1541951905914845, 2.674816577573921, 3.238475110825225, 3.787663648758283, 4.2663633235844, 4.62580521650923, 4.829486358249844, 4.856924147162591, 4.705763034053136, 4.3920167960726975, 3.9484214812483396, 3.4210684272601064, 2.8646636565774637, 2.336901230559458, 1.892529276572953, 1.5777190115024584, 1.4253159211185802, 1.4514615229204957, 1.6539331722639996, 2.012372666705564, 2.490380136055683, 3.0392578565169166, 3.603018928624458, 4.124145664423655, 4.549505419923268, 4.8358154152371835, 4.954094472528558, 4.8926437998080985, 4.658250239808965, 4.275488226898988, 3.7841922474399974, 3.23535976712093, 2.6859060190366, 2.1928101351646276, 1.8072547056889026, 1.569361526579365, 1.5040649764407996, 1.6185474557425992, 1.9015006596670303, 2.32428866443981, 2.843893200918521, 3.4073381869706467, 3.9571384448522555, 4.437212189907171, 4.798649176915565, 5.00474123637272, 5.0347577979529845, 4.886078079494948, 4.574460640745885, 4.132422577614964, 3.6058950607027827, 3.0494992040063855, 2.5209281520598092, 2.0750132013501714, 1.7580842696837653, 1.6032047527828834, 1.626770874566193, 1.826825296109373, 2.1832584326580253, 2.659876772754354, 3.208125467883628, 3.772082315348201, 4.294209491227438, 4.721271453863219, 5.009810347274217, 5.130615746096929, 5.07172901804341, 4.839673297975137, 4.458782567804077, 3.9686988479645198, 3.420294920329884, 2.8704419403211956, 2.3761601018791776, 1.9887539734658795, 1.748535699884966, 1.6806788012962637, 1.7926290161611917, 2.073338489145745, 2.494402069595832, 3.0129788495552896, 3.576198454119956, 4.126598886573368, 4.6080366328625315, 4.971461156961798, 5.179959866399684, 5.212554661115496, 5.066359581472857, 4.756877636144897, 4.316406280409825, 3.790715545246553, 3.234340479638284, 2.7049720897055805, 2.257523680063916, 1.938482888456398, 1.78113032047634, 1.8021165592899775, 1.9997496131372954, 2.354168940751462, 2.829388155763659, 3.376996313037042, 3.941137090732119, 4.464253747261817, 4.893008970504893, 5.183770748556674, 5.307100027025627, 5.250778586535785, 5.021065715957014, 4.642054429499952, 4.153193442295615, 3.605229775227041, 3.0549893018578516, 2.5595320707521214, 2.1702835423325975, 1.927745356671933, 1.8573296424633152, 1.9667453185049775, 2.2452052128727473, 2.664535549480227, 3.182073688666591, 3.7450560822275225, 4.296045131168385, 4.778836780815689, 5.1442412429293505, 5.355142283654027, 5.390314717382157, 5.246607468109423, 4.939267665175722, 4.500372439365306, 3.975529712906047, 3.4191873150476093, 2.8890328919539665, 2.440060593640528, 2.118914793463122, 1.9590926022058186, 1.9774986097248877, 2.1727062072507235, 2.5251043175287116, 2.998914441251463, 3.545870561707897, 4.110183420612234, 4.634278577411622, 5.0647180788802855, 5.357696681049519, 5.483547323839165, 5.4297924594926785, 5.202427398354573, 4.825303676791538, 4.337675869348373, 3.790164161405365, 3.2395479414441786, 2.742925904468847, 2.351843313985327, 2.106990447757963, 2.0340175049397384, 2.1408964214377457, 2.4171009371442143, 2.8346892470888996, 3.35117788324024, 3.913911241303793, 4.4654773361844065, 4.949612762646458, 5.3169895217748895, 5.5302885242257895, 5.568037948264344, 5.426821668238955, 5.121630611315194, 4.684320904585479, 4.160337395829598, 3.604039541690893, 3.0731104069050725, 2.622623822446865, 2.299379909641816, 2.137091575200809, 2.1529170577339674, 2.345695161668914, 2.6960646890064126, 3.168455785070087, 3.71474838355452, 4.279221471003589, 4.8042841269733, 5.236398888622743, 5.531588207447407, 5.659957645845166, 5.608770591877269, 5.383758250418887, 5.008530174962674, 4.52214596829518, 3.9750979084679927, 3.4241176966390845, 2.926341465251533, 2.5334331894806263, 2.286270923210515, 2.2107423929394376, 2.3150823828865073, 2.5890257676421777, 3.004863304989334, 3.520291598066008, 4.082764101411543, 4.634895659465711, 5.120364707746344, 5.489706081128689, 5.705398624970975, 5.745724336053195, 5.607002111409016, 5.303966358613565, 4.868251526549147, 4.345138426302797, 3.7888969909108576, 3.257204482304954, 2.8052132462923787, 2.479878161227301, 2.3151272159138783, 2.3283719344095264, 2.5187165589261014, 2.8670501806715656, 3.338012342753191, 3.8836299481598773, 4.448251408096193, 4.974270541651205, 5.408051509965224, 5.705445391173486, 5.836331003134139, 5.7877129394094995, 5.565058178053639, 5.191733789779006, 4.706603578569835, 4.160030846030948, 3.608698404766352, 3.1097786148626376, 2.715053069237638, 2.4655867323477505, 2.3875043098923348, 2.4893032600401805, 2.7609798094325315, 3.1750578653179513, 3.6894149977317965, 4.251614832662276, 4.804300259150736, 5.291092746015577, 5.66239100929265, 5.880472623510865, 5.923373863819924, 5.787148727882058, 5.4862747916969585, 5.05216415611271, 4.529932636752389, 3.973759493939349, 3.441314965549328, 2.987828744431868, 2.6604094717526627, 2.493199500021242, 2.5038632700726113, 2.6917704808695757, 3.0380609174795357, 3.5075842695119817, 4.052515425027686, 4.61727339825214, 5.144237967554807, 5.57967605373716, 5.879268296378297, 6.012667406579267, 5.966619458567097, 5.746327087817299, 5.374914387490509, 4.891048539870521, 4.3449628037279915, 3.7932899029172313, 3.2932372146075375, 2.896702853040372, 2.644937823739678, 2.564303258444312, 2.6635591093482844, 2.932963166962649, 3.3452730697772224, 3.858548246620731, 4.420463605212274, 4.973691293668506, 5.461797007860815, 5.835044395238272, 6.055510558231143, 6.100986515416253, 5.967261448636613, 5.668555795770047, 5.236058644513534, 4.714719859749231, 4.158626881901203, 3.625441703686227, 3.1704701955682513, 2.840973764050998, 2.6713084024231915, 2.679391094272219, 2.864857008657859, 2.9496697660243214, 3.0344825233907837, 3.119295280757246, 3.204108038123709, 3.317636083881609, 3.432958835163974, 3.5482815864463393, 3.6636043377287044, 3.7954832992207765, 3.929569755407476, 4.063656211594175, 4.197742667780875, 4.336018849403537, 4.4751928293339045, 4.614366809264273, 4.753540789194641, 4.885746829183334, 5.015808887651512, 5.14587094611969, 5.275933004587867, 5.390201521659865, 5.497889396483454, 5.605577271307043, 5.713265146130632, 5.799383180961477, 5.87373584852355, 5.948088516085624, 6.0224411836476985, 6.072754071981191, 6.106239114854679, 6.139724157728166, 6.173209200601653, 6.183295985934074, 6.172584320118882, 6.161872654303689, 6.151160988488497, 6.12022341445172, 6.06653169366566, 6.0128399728796, 5.95914825209354, 5.890080084539251, 5.7990455644589245, 5.708011044378597, 5.616976524298268, 5.516107387645704, 5.397208120610705, 5.278308853575707, 5.159409586540709, 5.035945396442083, 4.901525390990749, 4.767105385539415, 4.632685380088081, 4.497893519430432, 4.361893129352262, 4.225892739274092, 4.089892349195921, 3.9561018147977642, 3.832623940239673, 3.709146065681582, 3.5856681911234918, 3.465171192429768, 3.367030762718799, 3.26889033300783, 3.170749903296861, 3.074700435766579, 3.0121063631272675, 2.9495122904879567, 2.8869182178486454, 2.8243241452093346, 2.8038293136037225, 2.7833344819981107, 2.7628396503924986, 2.742344818786887, 2.76356492070359, 2.787392205965438, 2.8112194912272863, 2.8350467764891345, 2.8959208468545174, 2.9617344885670382, 3.0275481302795595, 3.0933617719920803, 3.18827251823333, 3.289418358302163, 3.3905641983709973, 3.4917100384398316, 3.6120072022495067, 3.738197081056364, 3.8643869598632206, 3.9905768386700777, 4.125364392446902, 4.263734310794546, 4.40210422914219, 4.540474147489834, 4.677590903132481, 4.814024115481493, 4.950457327830505, 5.086890540179517, 5.213997719192553, 5.334576674870404, 5.455155630548257, 5.575734586226107, 5.681415281289494, 5.773853078028912, 5.866290874768329, 5.958728671507747, 6.033503562190714, 6.088407683560173, 6.143311804929633, 6.198215926299092, 6.235387086402213, 6.247225444696277, 6.259063802990343, 6.2709021612844085, 6.267151660682893, 6.234821585439483, 6.202491510196071, 6.170161434952661, 6.125852455459579, 6.05279410576729, 5.979735756074999, 5.906677406382708, 5.825831029763253, 5.719673565630513, 5.613516101497773, 5.507358637365033, 5.397307238357658, 5.269084143268658, 5.140861048179659, 5.012637953090659, 4.883383958673174, 4.746398219292041, 4.609412479910906, 4.472426740529773, 4.335761095348572, 4.204216957366305, 4.072672819384038, 3.9411286814017705, 3.8095845434195033, 3.697126570744119, 3.5846685980687347, 3.4722106253933505, 3.359752652717966, 3.276252488266877, 3.1945621868298066, 3.112871885392736, 3.0311815839556657, 2.9841542074283773, 2.9417485542223933, 2.8993429010164093, 2.8569372478104254, 2.8505701514412123, 2.851925602965592, 2.853281054489972, 2.854636506014352, 2.8894376130408115, 2.9345296909909866, 2.9796217689411617, 3.024713846891337, 3.097486205526145, 3.1817920144462155, 3.266097823366286, 3.3504036322863566, 3.454546717638382, 3.569510135589655, 3.6844735535409243, 3.799436971492197, 3.925546435511948, 4.059458131779634, 4.193369828047319, 4.327281524315005, 4.463993846741608, 4.603195614642804, 4.742397382543999, 4.8815991504451945, 5.016606926990184, 5.14689646325944, 5.277185999528696, 5.407475535797952, 5.528624764233627, 5.636716410049903, 5.744808055866179, 5.852899701682455, 5.949273544126854, 6.024164747056144, 6.099055949985434, 6.1739471529147245, 6.236841811734919, 6.270944764693288, 6.305047717651657, 6.339150670610026, 6.362858120625222, 6.352780186075109, 6.342702251524997, 6.332624316974885, 6.3149529563233955, 6.261845607198823, 6.20873825807425, 6.155630908949677, 6.098117411245358, 6.007557799192951, 5.916998187140544, 5.826438575088139, 5.734230547975709, 5.615647879902909, 5.497065211830107, 5.378482543757307, 5.259899875684505 ]
74
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Cutoff Anomaly", "Flip Anomaly", "Speed Up/Down Anomaly" ]
You already know both time series have an anomaly. You should treat them separately and check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
456
null
The following time series has an anomaly where the pattern is cutoff at certain point in time. What is the likely pattern of the time series without the anomaly?
[ "Sawtooth wave with exponential trend", "Square wave with log trend", "Sine wave with linear trend" ]
Square wave with log trend
multiple_choice
null
null
67
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Sawtooth Wave", "Square Wave", "Linear Trend", "Log Trend", "Cutoff Anomaly" ]
Cutoff anomaly brings sudden disappearance of the pattern. However, this only influences a small part of the time series. Can you check the place where the pattern disappears and try to recover the original pattern?
Anolmaly Detection
General Anomaly Detection
457
[ 0, 1.5928186944440248, 1.5986271046198148, 1.6044019719039477, 1.6101436814856431, 1.6158526119570114, 1.6215291354628483, 1.6271736178462053, 1.6327864187898722, 1.6383678919539113, 1.6439183851093766, -1.5245144586038135, -1.5190249050618057, -1.5135653222667218, -1.508135384738383, -1.5027347722700248, -1.4973631698149916, -1.4920202673764553, -1.4867057599000633, -1.4814193471694275, -1.4761607337043587, 1.7030230702103892, 1.7082269531330336, 1.7134038957917035, 1.7185541756874356, 1.723678066055583, 1.7287758359527985, 1.733847750341812, 1.7388940701740665, 1.7439150524702831, 1.7489109503990106, -1.4200706855189285, -1.4151242118471252, -1.410202085393632, -1.4053040676512738, -1.4004299236004514, -1.3955794216414745, -1.3907523335285297, -1.3859484343052317, -1.3811675022417174, -1.3764093187732367, 1.8022790304319576, 1.8069923600425417, 1.8116835783542053, 1.8163528918568776, 1.8210005041614157, 1.8256266160528827, 1.8302314255425955, 1.834815127918982, 1.8393779157972763, 1.843919979168088, 1.84844150544487, -1.3210100193618315, -1.3165290151104054, -1.3120680007167431, -1.3076267986222596, -1.3032052336236433, -1.2988031328313818, -1.2944203256291975, -1.2900566436343692, -1.285711920658915, -1.281385992671615, 1.896874001111301, 1.9011628227739055, 1.9054333289690752, 1.9096856754647105, 1.9139200160499787, 1.9181365025686898, 1.922335284951967, 1.926516511250238, 1.9306803276645574, 1.9348268785772826, -1.2349963922900402, -1.2308839463586403, -1.2267883433966187, -1.2227094460021044, -1.2186471184477468, -1.2146012266536177, -1.2105716381606557, -1.206558222104646, -1.2025608491907196, -1.1985793916683591, 1.9793389755652502, 1.9832889795006248, 1.9872234422724402, 1.9911424856939992, 1.9950462301520155, 1.9989347946288036, 2.0028082967240373, 2.0066668526760902, 2.0105105773829672, 2.0143395844228316, -1.1557987127980092, -1.1519988055367367, -1.1482132829275575, -1.1444420364740768, -1.140684958902792, -1.136941944144784, -1.133212887317748, -1.1294976847083613, -1.1257962337549743, -1.1221084330306217, -1.1184341822263466, 2.059179316737324, 2.0628267642378404, 2.0664609561993283, 2.0700819886194717, 2.0736899564568807, 2.0772849536460365, 2.0808670731119614, 2.0844364067846337, 2.0879930456131444, 2.0915370795796, -1.078884101159368, -1.0753650107705743, -1.071858260964012, -1.068363765491286, -1.0648814390050418, -1.0614111970464528, -1.057952956032934, -1.0545066332460595, -1.0510721468196924, -1.0476494157283152, 2.129714339096591, 2.133113799289214, 2.1365017422934054, 2.13987824588497, 2.143243387054531, 2.1465972420180623, 2.1499398862272487, 2.1532713943796664, 2.1565918404288045, 2.159901297593911, -1.0107528605024703, -1.0074651643363621, -1.0041882417058947, -1.0009220222334791, -0.9976664362288887, -0.9944214146803368, -0.9911868892457002, -0.9879627922438825, -0.9847490566463161, -0.9815456160686011, 2.1956002941098745, 2.1987833412654227, 2.2019562887709387, 2.2051192005151328, 2.208272139782402, 2.2114151692604285, 2.214548351047656, 2.2176717466606535, 2.2207854170413626, 2.223889422564229, 2.2269838230432306, -0.943884021133361, -0.9408086535075618, -0.9377427147778832, -0.9346861473041206, -0.9316388939730036, -0.9286008981917927, -0.9255721038819729, -0.9225524554730422, -0.9195418978963947, -0.9165403765792943, 2.260404861433213, 2.2633884719955373, 2.266363207100219, 2.2693291193949925, 2.272286261060533, 2.275234683815961, 2.278174438924271, 2.281105577197682, 2.2840281490029017, 2.2869422042663254, -0.8841049063930021, -0.8812077361697335, -0.8783189353001626, -0.8754384555687148, -0.8725662491752717, -0.869702268730412, -0.8668464672507192, -0.8639987981541574, -0.8611592152555119, -0.8583276727618955, 2.318448573603836, 2.3212641711188415, 2.3240718632975184, 2.3268716944071373, 2.3296637083441842, 2.3324479486384897, 2.3352244584573003, 2.337993280609294, 2.3407544575485426, 2.3435080313784136, 2.3462540438554274, -0.8249601624791006, -0.8222291488066992, -0.8195055732609614, -0.8167893954352878, -0.8140805752514428, -0.811379072956005, -0.8086848491168676, -0.805997864619785, -0.8033180806649651, -0.8006454587637083, 2.375972738137063, 2.3786311501694657, 2.381282513780802, 2.3839268662481343, 2.3865642445535844, 2.3891946853874346, 2.391818225151192, 2.3944348999606113, 2.3970447456486754, 2.3996477977685426, -0.7717086072757011, -0.7691190367375645, -0.7665361547582332, -0.7639599268751655, -0.7613903188914858, -0.758827296873261, -0.7562708271468115, -0.7537208762960574, -0.7511774111598966, -0.7486403988296175, 2.427842892225807, 2.4303670966736344, 2.432884945552756, 2.435396470787548, 2.4379017040624515, 2.440400676824373, 2.44289342028505, 2.4453799654233928, 2.4478603429877905, 2.4503345834983987, -0.7211499816227651, -0.7186879245609851, -0.7162319143395616, -0.7137819213290316, -0.7113379161171761, -0.7088998695069018, -0.7064677525141473, -0.7040415363658169, -0.7016211924977375, -0.6992066925526405, -0.6967980083781691, 2.479557586847244, 2.4819547231277133, 2.484346126884737, 2.4867318254704873, 2.4891118460418395, 2.4914862155622277, 2.493854960803478, 2.4962181083476174, 2.498575684588666, 2.500927715734405, -0.6706784710640281, -0.6683374522218015, -0.6660019009515965, -0.6636717917733107, -0.6613470993845418, -0.6590277986589396, -0.6567138646445759, -0.6544052725623347, -0.6521019978043192, -0.6498040159322784, 2.526441396196101, 2.528728864940123, 2.5310111131105186, 2.533288164482336, 2.5355600426685827, 2.5378267711216926, 2.5400883731349793, 2.542344871844072, 2.5445962902283363, 2.5468426511122777, -0.6248687217052237, -0.6226324079609274, -0.6204010841587927, -0.6181747280800252, -0.6159533176539016, -0.6137368309564573, -0.611525246209188, -0.6093185417777659, -0.6071166961707694, -0.6049196880384277, 2.571225202700774, 2.5734125993727126, 2.575595221781758, 2.5777730907233654, 2.5799462268574134, 2.582114650709384, 2.5842783826715245, 2.5864374430039963, 2.5885918518360165, 2.5907416291669803, 2.592886794867577, -0.5789253301912594, -0.5767893286486527, -0.5746578798856192, -0.5725309645353909, -0.5704085633545113, -0.5682906572217927, -0.5661772271372807, -0.5640682542212325, -0.5619637197131044, -0.5598636049705512, 2.6161848074037186, 2.618276138074311, 2.6203631042070343, 2.6224457239812478, 2.6245240154629634, 2.6265979966057884, 2.628667685251854, 2.6307330991327387, 2.632794255870376, 2.634851172977961, -0.5370488310113137, -0.535000341054761, -0.5329560388322405, -0.5309159072566836, -0.5288799293453885, -0.5268480882191717, -0.5248203671015286, -0.522796749317803, -0.5207772182943629, -0.5187617575577872, 2.6572023481380924, 2.6592097173243827, 2.661213065050829, 2.6632124073979933, 2.6652077603501763, 2.667199139796187, 2.6691865615301014, 2.6711700412520125, 2.6731495945687764, 2.6751252369947487, -0.49685571491963887, -0.49488784809854636, -0.49292384617292484, -0.49096369399119766, -0.4890073764907126, -0.487054878697047, -0.4851061857233192, -0.4831612827695093, -0.48122015512178273, -0.479282788151824, -0.47734916731617427, 2.698533420716576, 2.7004595925778263, 2.7023820614325214, 2.7043008414911807, 2.7062159468826796, 2.708127391654873, 2.7100351897752146, 2.711939355131369, 2.713839901531819, 2.7157368427064643, -0.45632250656493367, -0.45443273496355285, -0.4525465278638423, -0.450663871844333, -0.4487847535592171, -0.4469091597377819, -0.44503707718384566, -0.4431684927752009, -0.4413033934630637, -0.4394417662715253, 2.73636910057514, 2.738223822164405, 2.7400751101289313, 2.7419229771584908, 2.7437674358726367, 2.7456084988212233, 2.747446178484915, 2.7492804872756986, 2.7511114375373817, 2.7529390415460937, -0.4191893873613737, -0.41736843929846623, -0.41555080106129916, -0.41373646063956393, -0.41192540608820716, -0.41011762552695674, -0.4083131071398556, -0.40651183917479816, -0.40471380994307027, -0.40291900781889467, -0.4011274212389797, 2.774613660170079, 2.776398850103634, 2.778180858812337, 2.7799596976139673, 2.7817353777660117, 2.7835079104660965, 2.7852773068524073, 2.787043578004112, 2.7888067349417724, 2.7905667886277636, -0.38162894890547516, -0.3798750690664232, -0.37812425993699095, -0.37637651078351286, -0.3746318109285045, -0.37289014975027057, -0.37115151668251833, -0.3694159012139713, -0.36768329288798896, -0.36595368130218975, 2.8097256427640787, 2.8114492918614995, 2.813169975104069, 2.8148877026808536, 2.816602484728504, 2.8183143313316132, 2.8200232525230726, 2.8217292582844253, 2.8234323585462153, 2.825132563188336, -0.34712281683178103, -0.345428373990214, -0.34373679742912633, -0.3420480774678234, -0.3403622044745718, -0.3386791688662698, -0.33699896110812055, -0.335321571713308, -0.33364699124267494, -0.3319752103044056, 2.843646479318444, 2.8453126891796505, 2.846976127403045, 2.848636803194216, 2.8502947257129643, 2.851949904073609, 2.8536023473452845, 2.8552520645522423, 2.8568990646741437, 2.858543356646355, 2.8601849493602383, -0.3121288472087138, -0.31049262651198095, -0.3088590786606471, -0.3072281949365081, -0.3055999666639455, -0.3039743852096499, -0.3023514419823461, -0.30073112843252026, -0.29911343605215035, -0.2974983563744378, 2.8780668178986115, 2.8796766974078394, 2.881283989370114, 2.8828887020899785, 2.884490843832059, 2.8860904228213236, 2.8876874472433336, 2.8892819252444957, 2.890873864932309, 2.892463274375616, -0.2799025372673076, -0.2783181642598971, -0.2767362975199741, -0.27515692913089596, -0.27358005121347073, -0.272005655925722, -0.27043373546265337, -0.2688642820560174, -0.2672972879740858, -0.26573274552141934, 2.9097820518335107, 2.9113417139699362, 2.9128989473479328, 2.9144537595200304, 2.916006158003584, 2.917556150280994, 2.9191037437999223, 2.9206489459735048, 2.9221917641805657, 2.923732205765832, -0.24868242083201464, -0.24714671059151594, -0.24561335514114702, -0.24408234727050004, -0.2425536798022354, -0.24102734559187722, -0.23950333752761543, -0.23798164853010517, -0.23646227155227084, -0.23494519957910898, -0.2334304256274946, 2.9420347561261635, 2.9435449548575052, 2.945052876327325, 2.946558527393146, 2.948061914881566, 2.9495630455884387, 2.951061926279059, 2.9525585636883456, 2.9540529645210256, 2.9555451354518087, -0.21691761574657886, -0.2154298847146141, -0.21394436373871084, -0.21246104626243678, -0.21097992575849323, -0.20950099572854075, -0.20802424970302957, -0.20654968124102902, -0.20507728393005964, -0.20360705138592516, 2.9718137216196054, 2.9732796436703532, 2.9747434199388083, 2.9762050566976805, 2.977664560192217, 2.9791219366403574, 2.980577192232896, 2.9820303331336397, 2.9834813654795624, 2.984930295380963, -0.18757556995053437, -0.1861308267132169, -0.1846881677480452, -0.18324758704989264, -0.18180907863954787, -0.18037263656356628, -0.17893825489412163, -0.1775059277288591, -0.17607564919075025, -0.1746474134279481, 3.0007314842585093, 3.0021556519262314, 3.0035777942245314, 3.0049979169059577, 3.006416025698585, 3.0078321263061527, 3.0092462244082054, 3.0106583256602253, 3.012068435693771, 3.0134765601166107, 3.0148827045128574, -0.15766582442905186, -0.15626362342761424, -0.15486338584104398, -0.15346510617853326, -0.15206877897227478, -0.15067439877733424, -0.1492819601715225, -0.14789145775526924, -0.14650288615149654, -0.14511624000549572, 3.0302211848873504, 3.0316039960930805, 3.0329848977721907, 3.034363895191147, 3.0357409935946595, 3.0371161982057977, 3.0384895142261157, 3.039860946835764, 3.0412305011936116, 3.0425981824373594, -0.12998870318849587, -0.12862475284393549, -0.1272626603262217, -0.12590242058117296, -0.12454402857520463, -0.123187479295217, -0.12183276774848406, -0.12047988896254358, -0.11912883798508789, -0.11777960988385394, 3.057520499125636, 3.058866096191572, 3.0602098850588786, 3.0615518705807094, 3.062892057590707, 3.0642304509031053, 3.065567055312833, 3.0669018755956197, 3.0682349165080947, 3.069566182787891, 3.070895679153745, -0.10172928856655394, -0.10040331794745638, -0.09907910319846613, -0.09775663967543391, -0.09643592275261059, -0.09511694782255087, -0.0937997102960173, -0.09248420560188331, -0.09117042918703899, -0.08985837651629613, 3.085404655799858, 3.0867132745167445, 3.0880201829885, 3.0893253856795586, 3.0906288870368965, 3.0919306914901226, 3.0932308034515694, 3.0945292273163805, 3.095825967462604, 3.0971210282512747, -0.07553828484564229, -0.0742465697565613, -0.07295652104310069, -0.07166813441138675, -0.07038140558412165, -0.06909633030049722, -0.0678129043161102, -0.06653112340287914, -0.06525098334895962, -0.06397247995866251, 3.111257089819782, 3.1125323324056975, 3.1138059508189535, 3.1150779491914427, 3.1163483316393075, 3.1176171022630257, 3.118884265147485, 3.1201498243620653, 3.121413783960715, 3.1226761479820313, -0.050015778422818125, -0.04875659350140493, -0.047498992132881446, -0.046242970339292144, -0.044988524157652865, -0.0437356496398742, -0.042484342852687984, -0.0412345998775725, -0.039986416810679604, -0.03873978976276016, -0.03749471485909317, 3.1377015106327404, 3.1389434928143185, 3.140183934389366, 3.1414228391752124, 3.142660210975018, 3.1438960535778433, 3.145130370758717, 3.1463631662787073, 3.147594443884988, 3.148824207310911, -0.023900238596083367, -0.022673492385784755, -0.021448249238062322, -0.020224505474188526, -0.019002257428924585, -0.01778150145045454, -0.01656223390032019, -0.015344451153356253, -0.014128149597624429, -0.012913325634351436, 3.1622527231942903, 3.1634646027166333, 3.164675015364496, 3.1658839646846317, 3.167091454210949, 3.1682974874645664, 3.1695020679538817, 3.1707051991746273, 3.1719068846099336, 3.1731071277303906, 0.00035323312195179035, 0.0015506019746081012, 0.0027465388495298004, 0.003941047167736134, 0.005134130338002141, 0.006325791756916388, 0.0075160348089384765, 0.008704862866458107, 0.009892279289851702, 0.011078287427539024, 0.005437431604812986, -0.00615429769598336, -0.011978064265539557, 0.021416584322166123, -0.0009462100189797199, -0.00928828100033933, -0.008852303456915945, -0.004121884804721504, -0.004826187964480047, 0.0016416481984073612, 0.002330952390597439, 0.001179946123434999, 0.014623781203460173, 0.015387149676145979, -0.02439105815056023, 0.006034412250381314, -0.002510439680857766, -0.0016386711649477017, -0.014763296931546016, 0.014869809580472005, -0.00024455177494065746, 0.0035555131712243218, 0.004170111096631751, 0.008324618571211561, -0.0029339914635866174, -0.00029838569359748687, 0.0009512578431713645, 0.0066465434274985205, -0.0014021849735700804, -0.00033193400066544885, -0.007490765234433554, -0.007783820070908942, 0.009488428577190162, 0.015808505860390263, -0.0036817094134354144, 0.003755646338406941, -0.011931582294890924, -0.004090519017239313, -0.0044674147097314605, 0.015242416328552062, 0.0032299979727829758, -0.013934169408727038, -0.021783342468237085, -0.01043896408234835, 0.0017269370652551177, 0.0032419876755273177, 0.007458595418254313, -0.018365832393175525, 0.005644642385551357, 0.0002550066808134837, 0.004731932494600233, 0.0065919059842898435, 0.023407463341030464, 0.01070985187017369, 0.0009641647903025843, 0.004191021055976431, -0.009530277892165023, -0.010478706025818138, -0.018756767722065172, -0.013667821388862978, 0.08088752974172708, 0.08199230125428536, 3.257048552465685, 3.2581508883194985, 3.259252010366877, 3.2603519212779797, 3.2614506237141625, 3.2625481203280207, 3.2636444137634255, 3.2647395066555607, 3.2658334016309647, 3.2669261013075634, 0.0940649094225594, 0.09515522632107687, 0.09624435572328505, 0.09733230021304418, 0.09841906236579123, 0.09950464474857501, 0.10058904992009321, 0.10167228043072862, 0.10275433882258533, 0.10383522762952402, 3.2788676482493497, 3.279946205455239, 3.2810236006286875, 3.2820998362709375, 3.283174914875164, 3.2842488389265094, 3.285321610902118, 3.28639323327117, 3.287463708494917, 3.2885330390267153, 0.11564852843990447, 0.11671557691645562, 0.11778148801408617, 0.1188462641549044, 0.11990990775328969, 0.12097242121592577, 0.12203380694183319, 0.12309406732240125, 0.12415320474142133, 0.12521122157511821, 0.1262681201921827, 3.301276601825955, 3.3023312710858477, 3.3033848291902914, 3.304437278478156, 3.3054886212809342, 3.3065388599227736, 3.3075879967205064, 3.3086360339836802, 3.3096829740145886, 3.310728819108303, 0.137820872680547, 0.13886453475633953, 0.13990710873710843, 0.14094859688933048, 0.1419890014724079, 0.1430283247386983, 0.14406656893354386, 0.14510373629530027, 0.14613982905536593, 0.14717484943821058, 3.3221614985335566, 3.323194380807797, 3.324226197336939, 3.3252569503180243, 3.326286641941305, 3.3273152743902763, 3.328342849841701, 3.32936937046564, 3.3303948384254762, 3.331419255877946, 0.15848992610100954, 0.15951224898249228, 0.16053352778719399, 0.16155376464552584, 0.1625729616813858, 0.1635911210121841, 0.16460824474886993, 0.16562433499595786, 0.1666393938515538, 0.16765342340738076, 3.342619124620958, 3.343631101827016, 3.3446420559704375, 3.345651989117672, 3.3466609033289156, 3.3476688006581337, 3.348675683153089, 3.3496815528553627, 3.3506864118003845, 3.3516902620174505, 3.352693105529755, 0.1797422454822568, 0.18074308163031727, 0.18174291710680746, 0.18274175391074254, 0.18373959403515427, 0.1847364394671136, 0.18573229218775533, 0.18672715417230124, 0.187721027390084, 0.18871391380457014, 3.363658514245535, 3.3646494329204795, 3.3656393706475627, 3.366628329367019, 3.367616311013332, 3.368603317515257, 3.3695893507958443, 3.37057441277246, 3.371558505356812, 3.3725416304549665, 0.19957109109522442, 0.20055228691674754, 0.20153252093666918, 0.20251179503872407, 0.20349011110111936, 0.2044674709965537, 0.20544387659224128, 0.20641932974993193, 0.20739383232593234, 0.2083673861711275, 3.383292692003155, 3.3842643539178145, 3.385235072622006, 3.386204849945136, 3.3871736877112975, 3.388141587739285, 3.3891085518426163, 3.3900745818295555, 3.3910396795031286, 3.3920038466611486, 0.21901438622407987, 0.219976697723669, 0.22093808407005033, 0.2218985470403747, 0.2228580884066773, 0.22381670993589764, 0.2247744133898979, 0.2257312005254839, 0.22668707309442282, 0.22764203284346385, 0.2285960815143564, 3.403501919716022, 3.404454151435963, 3.405405477273198, 3.406355898949668, 3.4073054181824087, 3.4082540366835703, 3.4092017561604346, 3.410148578315435, 3.411094504846172, 3.412039537445434, 0.23903097892906322, 0.23997422872458096, 0.24091658963829388, 0.2418580633439198, 0.24279865151045343, 0.2437383558021855, 0.244677177878718, 0.24561511939498404, 0.24655218200126394, 0.24748836734320312, 3.422376375933982, 3.423310811665724, 3.4242443750424245, 3.425177067691364, 3.4261088912352706, 3.4270398472923427, 3.427969937476261, 3.428899163396211, 3.429827526656894, 3.430755028858547, 0.25772897272480577, 0.25865475759133183, 0.2595796861729134, 0.26050376005209164, 0.26142698080702487, 0.2623493500115044, 0.2632708692349708, 0.26419154004252965, 0.2651113639949674, 0.266030342648768, 0.2669484775561284, 3.4418184691371256, 3.4427349211911245, 3.4436505341297066, 3.444565309488076, 3.445479248797228, 3.4463923535839642, 3.447304625370907, 3.4482160656765157, 3.4491266760151023, 3.450036457896844, 0.2769927139556485, 0.2779008434377781, 0.2788081489689491, 0.27971463204295666, 0.2806202941495377, 0.2815251367743852, 0.2824291613991623, 0.2833323695015182, 0.28423476255510094, 0.28513634202957383, 3.4599898082627805, 3.460889764972149, 3.461788912487624, 3.4626872522630676, 3.463584785748427, 3.46448151438975, 3.4653774396291963, 3.466272562905054, 3.4671668856517512, 3.468060409299872, 0.2950004364040164, 0.2958923661314239, 0.296783501029072, 0.29767384251230133, 0.2985633919926747, 0.29945215087799126, 0.3003401205723002, 0.30122730247591356, 0.3021136979854202, 0.3029993084936975, 3.477836834262079, 3.478720878931756, 3.4796041427567053, 3.4804866271150945, 3.481368333381444, 3.4822492629266435, 3.4831294171179614, 3.48400879731906, 3.4848874048900056, 3.485765241187285, 3.486642307563815, 0.3135659064968024, 0.31444143707636796, 0.3153162017726432, 0.3161902019243923, 0.3170634388668727, 0.3179359139318465, 0.31880762844759336, 0.3196785837389222, 0.32054878112718344, 0.3214182219302808, 3.496239606334836, 3.497107537907591, 3.4979747168283346, 3.4988411444013034, 3.4997068219273473, 3.5005717507039416, 3.5014359320251955, 3.5022993671818687, 3.5031620574613793, 3.5040240041478157, 0.33093250964979726, 0.33179297298909405, 0.33265269656772367, 0.3335116816565733, 0.3343699295232576, 0.33522744143213057, 0.3360842186442956, 0.3369402624176183, 0.3377955740067362, 0.33865015466307047, 3.513456704506989, 3.5143098270392072, 3.5151622223737156, 3.5160138917491777, 3.516864836401096, 3.5177150575618206, 3.5185645564605625, 3.519413334323401, 3.520261392373297, 3.521108731830103, 0.3480026550384199, 0.3488485609562182, 0.3496937519219345, 0.3505382291430903, 0.3513819938241505, 0.352225047166534, 0.35306739036862367, 0.3539090246257761, 0.35474995113033314, 0.35559017107163005, 0.3564296856360074, 3.531221194878973, 3.5320593022366014 ]
Despite the noise, does the given two time series have similar pattern?
[ "No, they have different seasonal pattern", "Yes, they have similar seasonal pattern" ]
No, they have different seasonal pattern
binary
[ -0.1762867410453991, 0.42271940677226244, 1.0337779014933561, 1.3656055040140747, 1.5423504574891813, 1.786050188174815, 2.332449415523424, 2.517696719138834, 2.449319530534094, 2.550714694135829, 2.375545142807515, 2.8430959669877014, 2.759510710207569, 2.909290434822809, 2.60406205259281, 2.596609496212719, 1.9393301559434017, 2.0122206432816427, 1.3474645193075314, 1.2471878167438084, 0.41562437662360596, 0.35539283375546815, -0.4939979826251404, -0.5538946121509306, -0.8053902714742116, -1.3720593016600655, -1.8259783089174335, -1.7610719071404162, -2.2252310670025426, -2.530827713222778, -2.6022900480734386, -2.2067732255525527, -2.569958219975255, -2.576425025027814, -2.671668401739013, -2.6179191332073453, -2.9677097169984044, -2.4097905780407407, -2.1082976995645715, -2.0834838750793647, -1.6007639421127202, -1.3977340167118542, -0.6206787377457749, -0.047953598830263594, 0.4153600795558714, 0.6786375473462716, 0.7922830786828973, 0.967337789015198, 1.3429992891552018, 1.745945439075159, 2.085732123319406, 2.4482217956802894, 2.4424034052083883, 2.823059149711549, 2.761510714131097, 2.8043532111819256, 2.966269082794341, 2.3811758902439624, 2.5255122482892687, 2.2127220610408727, 1.8764685779949437, 1.80743653674634, 1.4594855942551426, 0.7209736719547502, 0.4814895818115732, 0.1710379755011338, -0.3453202189602114, -0.5731803874042878, -1.019051988687691, -1.0715112906984552, -2.076892860965801, -2.091293526719574, -2.501473961364922, -2.403653675929364, -3.0000867878694626, -2.7038764316793444, -2.937937036457349, -2.9390428779064566, -3.0036983084375124, -2.673125988885706, -2.175240800245134, -2.1594376434915667, -1.7462981788645109, -1.2173946959473008, -1.1438045754973474, -0.9296525899736875, -0.3287620645489122, -0.12660697617226557, 0.2862017383800374, 0.4798879840254696, 1.349589110859727, 1.443382849549716, 1.8816113669735202, 1.9242164547285978, 2.4604691984684357, 2.4133835793824248, 2.676538549893114, 2.9632759767385535, 2.9706917396351145, 2.7744450031205656, 2.333718918800725, 3.138488194460324, 2.6888328913555957, 2.235251872742879, 1.6476323114830551, 1.4456957588014474, 0.9993192662976818, 0.9773104803875791, 0.3785009791476768, -0.23615405694775185, -0.5771436253151938, -0.6523771081205749, -0.9319783706755933, -1.2956656451661706, -1.7659421010305976, -2.2439975124754774, -3.0722617348118755, -2.544580280252843, -2.730252030265906, -2.7709655849143813, -2.7990227966796835, -3.0274339531124976, -2.545608858374401, -2.370272682445809, -2.147926660186046, -1.8352281645393014, -1.6017595432161293, -1.4667621124876349, -1.032298590829345, -0.6120979059820981, -0.20786009134600447, 0.3759393656357799, 0.70705737312706, 1.3837874434410158, 1.779460754423301, 1.6961030516960407, 1.2198903636948684, 2.50028999003064, 2.3636757166205635, 2.4788542067997814, 2.671951521942044, 2.717550663593257, 2.926171739789102, 2.4303347139131257, 2.4081268892907373, 2.519163574361081, 2.350995500814856, 2.0842670301744315, 1.487407593206525, 1.1037956962232112, 0.8257193832727311, 0.5833302118632612, 0.42962178695534414, -0.6825478271546745, -0.717111524623459, -1.3254050562016493, -1.7531905636823968, -1.5636216563980072, -1.9458024522373403, -2.2198041969192586, -2.3323936214556173, -2.7670898695818424, -2.856644780341278, -2.37430702287693, -2.843607870583271, -2.5719694168653033, -2.5858500307143086, -2.7710805531328475, -2.5746928041517565, -2.000840853956042, -1.3538803652223992, -1.0549352608494789, -0.652041800897157, -0.6371599938441276, 0.2876797108234531, 0.17652103146123338, 0.8093712049857282, 1.146088257304089, 1.4708476442429075, 2.09947840912887, 1.978763682064819, 2.093786079369558, 2.5624480617752683, 2.619994124596376, 3.460770954319535, 2.9479796711238344, 2.6996730224078975, 2.481308781629427, 2.17144231897959, 2.1444215676216642, 2.1255359274913537, 2.097349691476559, 1.7078599514447868, 1.1701129518419768, 0.6770401496911719, 0.3973845198093764, -0.16530661757461468, -0.12182606675233354, -0.8975715372902175, -1.2533480126333576, -2.0298738613212817, -1.9434120581007002, -2.01502240877462, -2.6284523623502767, -2.7473957271562592, -2.567014610427711, -3.0924852238352845, -2.5989927011051286, -2.8719041790452406, -2.7405728051119844, -2.7296149066811077, -2.219094120323329, -1.5448493103727832, -1.5802662509676049, -1.5730335952907006, -0.807531066473366, -0.7109426014510005, 0.027812960398189784, 0.31991475435287975, -0.027684748649912105, 0.7508206844059528, 1.5114068622820485, 1.6962378004739094, 1.7698706824613364, 2.1155353285453167, 2.0819847379910397, 2.6152859994956352, 3.190045572890352, 2.9666680548516062, 3.243163258297162, 2.922595004961085, 2.835511248314038, 2.854010565241833, 2.3126606913104157, 1.931228228351582, 1.8657104412442802, 1.6059311993183654, 0.8477910304717821, 0.4084544928394038, 0.17802291723361988, -0.08909126549402643, -0.4961018890685095, -1.3272397053984755, -1.0250826584677533, -1.8713519684265716, -2.0955795969236077, -2.4800472539465326, -1.9689564474573404, -2.6171192861728967, -2.9371803057056765, -2.638082295639984, -2.6424384054922205, -2.7610301604582523, -2.425917530450411, -2.5756795683900338, -2.2756315260403115, -2.3002220363108146, -1.8446060739057462, -0.8670570519405434, -0.5235028269485535, -0.4441137703385602, 0.27934587515282616, 0.31988349918762243, 0.7010335160243398, 1.1432362342475983, 1.4656171872524806, 1.7752160497953546, 2.336757954948654, 2.3840676094542115, 2.6935205915594764, 2.9012072561723805, 2.8604042345222687, 2.618650223904736, 2.5135473337956458, 2.7273659907532455, 2.520721233315292, 2.3766544152138787, 2.111083718767736, 2.342137447279482, 1.2325257379614165, 0.7425506015967251, 0.8252539104264506, 0.28594550401625995, 0.0193792748046515, -0.3312099882550521, -0.5859970965340325, -1.5215588920709588, -1.6833672002897337, -1.8054735920089675, -2.016986326916938, -1.9670706657145145, -2.3992468329820933, -2.732476551926497, -2.9733213373727523, -2.9240496089045225, -2.8871997398485476, -2.537475006153719, -2.461463288002176, -2.5696508799033566, -2.136203048188399, -1.5749828743204686, -1.3452086372908745, -0.9374090284079245, -0.588280378942486, 0.060527893843687564, 0.18806541239981028, 0.4663366131003326, 0.7517655692970721, 1.3567619127520014, 1.1634324267206173, 1.9250858516549503, 2.190325720290314, 2.1817208965046837, 2.4410123250724776, 2.905996777874921, 2.8505141234465228, 2.8266879222189902, 2.8111694758142276, 2.654780525660336, 2.716332392804495, 2.2726061471559253, 1.6896676795811767, 1.9995029604289647, 1.4048931686039345, 0.8426332455454745, 0.31947860535145167, 0.24715397038779882, -0.2611459204866127, -0.32361895999047163, -1.0950829559696222, -1.5594858383934114, -1.5499963345562118, -1.845268125627845, -2.2555200361546635, -2.3652743507944307, -2.667352047480124, -2.7169701157053927, -2.5771707752448796, -2.6730624642362755, -2.7617201254703727, -2.3303756175414834, -2.89268860219366, -1.7778273983359638, -2.252429644754745, -1.7198867639312374, -1.2527074255759596, -0.8979820918478713, -0.27349182803487293, -0.2825512453504293, 0.38643645435526724, 0.6169525586235975, 1.1746926222917906, 1.4625668048039182, 1.8232653851415244, 1.986301982345716, 2.242267311832188, 2.6009524478429213, 2.878538634574484, 2.660473118939123, 2.6388653069780093, 2.9092810704723076, 2.6960804494966903, 2.7284428892925345, 2.187633501980311, 1.7700695154151278, 1.7322879746628446, 1.360289668493103, 1.1409826355603596, 0.6484841513651938, 0.5270269894129374, -0.08371788744841371, -0.4003615833981931, -0.7943421020311086, -1.1651074182945718, -1.5621010978640357, -1.7759311624662546, -2.3188834420630995, -2.1166339350982333, -2.630727935817802, -2.978882339097252, -2.7555886321655603, -2.9819545443864937, -2.6386658098000044, -2.232156941611881, -2.6781006985000584, -2.2485723231227497, -2.4122413382708006, -1.673568330281066, -1.6079920745564547, -1.192545792796209, -0.9023535763502077, -0.13599168383841276, 0.3245893887003545, 0.5307941830120262, 0.7452739797402398, 1.609002800533931, 1.4870923311804805, 1.5167808582340918, 2.312323109073879, 2.2249454084287423, 2.8179875079129886, 2.663886123060969, 2.9236931639853854, 3.0877689895486418, 2.5118030922151244, 2.5292022491240003, 2.461092465596848, 2.566053346154927, 1.8621914835546602, 1.5688076291369843, 1.4420622073468063, 0.861700038055405, 0.6180320646951802, -0.1246236302364149, 0.2228434527753289, -0.8906929621495898, -1.0737065093465452, -1.3830562740218142, -1.3325857015102764, -2.282970730612592, -1.882152264934769, -2.3409343837953958, -2.57057086233861, -2.9573176825765377, -2.695130763982076, -2.944572619196699, -2.478804860614419, -2.801766234780291, -2.4513492380761, -2.3104037440126604, -2.121725443648014, -1.4607930945438694, -1.1533233244102725, -0.643746736827573, -0.8482326907592084, 0.12410953768649445, 0.8177442569627138, 0.6251169942534739, 1.4783800510861234, 1.4077500056455126, 1.5165473948141015, 2.0232856130443397, 2.5440671822168954, 2.368235086817516, 2.564485091043555, 2.896088093157984, 2.813033183013214, 2.905871206914294, 2.7550108986354123, 2.665537076185345, 2.291855210392587, 2.183881618845083, 1.6668070512190705, 1.7861758544494288, 1.0460397771823085, 1.0186664520129731, 0.3496807084857849, 0.032059470039266236, -0.5119021453592827, -1.012086196534261, -1.5369872824945294, -1.753529760397877, -1.9295837542668814, -2.1059639592966897, -2.1851031862640986, -2.665501925429116, -2.8883101841422434, -3.0796041675299164, -2.7161205866668623, -2.498056999907175, -2.4262618610917874, -2.3866228697635967, -2.1973717778986166, -1.7336508674645237, -1.7117198283429067, -1.3168746171415455, -1.1481340538515188, -0.9717093526539795, -0.43684414063050225, 0.10356352476826901, 0.5208292348915704, 1.2866226790007989, 1.2915603945956233, 1.8584789893013873, 1.8493379301690684, 2.147373330837747, 2.171286709323402, 2.465296078456635, 2.841449234942476, 2.8029296961056933, 2.9970835309856, 2.7933909186922476, 2.577928390762973, 2.914254263035027, 2.250295217357543, 2.2389465610078427, 1.6216307326128967, 1.5039093575993836, 1.1793718019427053, 0.6465698292421865, -0.26750739573228904, -0.19867429972013304, -0.3577371746006204, -0.8872740836442585, -1.2718878711427408, -2.0454741785605206, -2.149689313076839, -2.1861736151476405, -2.402017847870484, -2.40512620778604, -2.785902201861535, -2.7272724024411232, -2.7982381343423604, -2.9336887533108094, -3.0653139789379265, -2.351418914115403, -2.1755791845145818, -2.0607622730628954, -1.947416464362809, -1.1503081435600955, -0.9555603526639139, -0.3983467587245754, 0.26634795467361977, -0.12927292258193157, 0.5583467990708322, 1.0411173381498855, 1.7361503537801597, 1.4500285172550578, 2.4596264695074304, 2.351650911788264, 2.5089417247527273, 2.6395912754737996, 2.687268241158575, 3.0217348801285238, 2.577489004143126, 2.781283793598801, 2.499942121076275, 2.23531656929307, 2.6662234905943007, 1.9494109129571329, 1.6660103224415344, 1.4165577834230756, 0.5256391569213852, 0.7644232014889738, -0.49238393289330423, -0.5490988294391617, -0.8836793360757893, -1.0555799991390609, -1.4838495158758125, -1.8848413686659247, -2.1392411086613685, -2.5733501377585326, -2.868624310568238, -2.561853252911741, -2.650066769859744, -2.495537333863825, -2.9355520354561495, -2.5463080464009438, -2.5930732289315475, -2.0969265239650277, -1.8807359284806344, -1.7496101896241256, -1.5292002456480023, -0.9081461001095497, -0.5870963316203419, -0.4546029251161541, -0.17790178321443678, 0.4335003480343453, 1.1876185708978224, 1.488758384949132, 1.3857161429153846, 1.689890860612712, 2.4536205003788094, 2.2010519179593597, 2.7090126119447815, 2.60866907327521, 3.123182252016728, 2.6553259150687896, 2.9892679247716782, 2.691314884186692, 2.5433031483516753, 1.8854567214409754, 1.5781621546569633, 1.6718558322447916, 1.4268718169532404, 0.7853124250693192, 0.4044532173848867, 0.3333809517816897, -0.07204809649332472, -0.6140314231334292, -0.8201046610552264, -1.5803374949073896, -1.7580415131889058, -1.6635396503920754, -2.2442424477110126, -2.4504578525229586, -2.180834452020751, -3.0332254238966714, -2.648117537288553, -2.470241873922859, -2.8053259416211835, -2.4487273577856605, -2.6428310126661176, -2.3586466003591795, -1.8729632691453115, -1.4783286714595958, -1.067858903004177, -0.6052422539843124, -0.5406547546712698, 0.11452768972104146, 0.21289915731739242, 0.861479170696143, 1.1080892337190886, 1.5190660199266064, 1.848219711983226, 1.7394729115112268, 2.0896161544800393, 2.5408209621554088, 2.336291146304725, 2.9377932429483087, 2.986001127305622, 2.8587626740966856, 2.49262213655904, 2.8598700907685757, 2.804518131558778, 2.1898512834553743, 1.980952677368943, 1.5985115800214857, 1.3111366322864637, 0.8029773400079058, 0.4245982088725854, 0.20829848326804076, 0.09135871318586919, -1.0548416114260162, -1.1765299765696868, -1.7487526862053344, -1.5196761620119112, -2.242806000975396, -2.656857507176804, -2.4342655395529684, -2.3534231164541, -2.653724165675356, -2.7716675563235165, -2.6984625579274164, -2.4071392328536816, -2.718793218321874, -2.3672390537404375, -2.18753635556409, -2.0390697380622504, -1.5421047474569138, -0.895099761786654, -0.6203048381933094, -0.20648057918550042, 0.09921220276018447, 0.5783868953337892, 0.707552821799314, 1.1816648233244647, 1.631989791636431, 1.9659578999675704, 2.251608984369223, 2.3915062278952277, 2.524956930639952, 3.3591591640349554, 2.9793748571902956, 2.892843582666394, 2.717299497041181, 2.569917722904228, 2.474874093826798, 2.3484359551354697, 1.6549757993855696, 1.416119227138124, 1.265560424919203, 1.0683229718100362, 0.5916329621387029, 0.5343991055986046, -0.46338520016297136, -0.7193829813395051, -0.6554625474040614, -1.3036609901011424, -1.495650589931232, -1.5703033006026992, -2.3860395921499182, -2.487110505624284, -2.6903681639266392, -3.1405941079652715, -2.8683375868167857, -2.628241237941391, -2.6361814924105706, -2.503230343687326, -2.5302377667433937, -2.363362623524781, -1.7088570691270928, -1.751900370539412, -1.2489685145868625, -0.9032560725639036, -0.2522447906382886, 0.05235984506550201, 0.004644072184087855, 0.4263171064859731, 1.1659299852844422, 1.4017512966174288, 1.6586225828642047, 2.251417105003716, 2.3418010491371546, 2.522874623654006, 2.8241499705805237, 2.693449050094103, 3.124860190865477, 2.6377432324346346, 2.852774564216816, 2.877569845094978, 2.130854211979072, 2.1030903286120384, 2.1204571106154924, 1.8043573566350326, 1.1867760626245212, 0.6969018957638691, 0.6402272780840133, 0.2816111628862571, -0.5931043200858649, -0.9985336080746263, -1.0945129345351323, -1.3717956566913816, -1.8844244976783522, -1.9777317943735038, -2.5006221957450427, -2.9774647658846245, -2.7820877257327528, -2.771322116219894, -2.867874063279461, -3.01464282569704, -3.058366332251988, -2.654291320002439, -2.17509323068279, -1.857545189069553, -1.5815267219498748, -1.65468830054067, -1.3636522322307862, -0.6514171675472514, -0.22593715989207933, 0.13220734670347972, 0.05340583354421674, 0.677394509843755, 1.2216853777602363, 1.6763764426027339, 2.050852521295867, 2.205222703704493, 2.4762279128005678, 2.6105992308855255, 2.860341775107011, 2.858723266708207, 2.8240529447746114, 2.7135029698490722, 2.6821321952000017, 2.6060229459616813, 2.3536258428506653, 2.1194654089976366, 2.012500765413498, 1.4613605265964156, 0.9135975888749768, 0.8334791799732713, -0.016785879296371098, -0.36546872381679196, -0.48455245184859247, -0.8394992510954067, -1.5632299702990418, -1.7348805849025273, -2.08912811867818, -2.3338963337211904, -2.269957133186902, -2.4883357591819815, -2.7497089824045977, -2.9141934971476493, -3.0756864970523448, -2.4640981945387486, -2.5149130653343006, -2.6050808987918295, -2.098977460195146, -1.9894264345129513, -1.7241879864632759, -1.2364292647348973, -1.1009404326953875, -0.6307405662103742, -0.1353527282050206, 0.14613072913246528, 0.7803851833823661, 1.4074760588018116, 1.2483912648028663, 1.4027010211406548, 1.6357395577249283, 2.2639924459524434, 2.3717206710371523, 2.7040873903975995, 2.7917999849587622, 2.4898675593634385, 2.434288889151399, 2.7850068601022078, 2.6247468671182874, 2.330291210198917, 1.851563625122289, 1.9993885852802507, 1.8419703296247685, 1.292635442454351, 0.6912547626329049, 0.4754617251975372, -0.21057688234031058, -0.13097069874859346, -0.7242753556330008, -1.4769470733349, -1.542750220778787, -1.7184072715148464, -2.1684480822562264, -2.404057638329927, -2.791927887029728, -2.57891409374292, -2.911076349324462, -3.243962099714114, -2.859694276905677, -2.504028456103921, -2.636278057595164, -2.016688391867039, -2.0346934781090855, -1.7648180631426973, -1.532203361039205, -1.1627900892868936, -0.8205177497322261, -0.43101147081706637, 0.1406011260514953, 0.25153042792278923, 0.6186593245816088, 0.9869915837392087, 1.9733447082139417, 1.9903204060032775, 2.225984374267785, 2.189370128832385, 2.711375863747822, 2.6954082002300153, 2.837005331101649, 2.6161607600667263, 2.8023558603751555, 2.586713483991593, 2.3639529976423765, 2.457121032311485, 1.7479144277645595, 1.870801458171174, 1.560559736222207, 0.8839292240252401, 0.5099362132639247, 0.22951736926152883, -0.0750530707126143, -0.5648789539931615, -0.8393262453995999, -0.9459063406415799, -1.7454923996705205, -2.2982276579310437, -2.0605696655363097, -2.113344932629852, -2.544732549735647, -2.959533994828619, -2.8284107902926166, -3.0306524376253554, -2.623290449375507, -2.909777948787239, -2.5322858498277196, -2.454429808521292, -1.962611631412067, -1.7542972036702953, -1.3037531044211075, -0.9648505168093657, -0.7766997609460433, -0.05198548673036221, 0.2185832135291853, 0.4315769984512886, 1.4653216509291334, 1.479113279413467, 1.6910740033889031, 2.3068434937509723, 2.652134759753303, 2.4671544377808265, 2.7262198284904744, 2.564379390144089, 2.7803150143391386, 2.7592546705073895, 2.7671085526523056, 2.670967594115282, 2.536465829532622, 2.24166893700968, 1.6759806570604163, 1.4145157637120398, 1.1436719501292352, 0.8211805782887929, 0.6941987531331985, -0.15219976626463697, -0.3964234033127104, -0.532906178768532, -1.1669978816748663, -1.3754207544342325, -1.825360768312933, -2.0386462226200237, -2.3847631030273866, -2.406054341185064, -2.9960411630286083, -2.8513481354213295, -2.753213456795603, -2.68111348194308, -2.4065822273503827, -2.6444138297628523, -2.077955907539944, -2.26390979786866, -1.580267747250922, -1.3579876153610413, -1.3480006917312337, -0.7234835365293162, -0.398390436127807, 0.14179750962603993, 0.37650307519142323, 0.7554223098471191, 1.4694087280881827, 1.5296883363869862, 2.0363220468425913, 2.1086433697761557, 2.7249120365558723, 2.4440187536636717, 2.5912900879320993, 3.0969851369995474, 2.7229630176507316, 3.09353201112594, 2.855348225324768, 2.494015630479929, 1.9577180873779856, 2.0636663557900223, 1.7919920403989618, 1.6723841412151135, 1.3939658628265545, 0.5542217173236809, 0.45201666153725584, 0.03935108728915447, -0.30219019277780146, -0.8095240380197444, -1.6712326556636508, -1.660600036459672, -2.1735356453364134, -2.2553802324088, -2.2452406141063004, -2.555800980776021, -2.508356629049193, -2.7338011141834855, -3.0676923492492825, -3.2596477513429924, -2.6158370475839723, -2.5234599683988823, -2.459526550210173, -2.3406177261021477, -1.842173364352461, -1.3935844608953156, -0.8527863151275898, -0.5589973649306537, 0.1265436531440259, 0.0035218177779638427, 0.7881841825467598, 1.0100291731529436, 1.5072823292390614, 1.6203546254054229, 2.2257730836755307, 2.3324112259263217, 2.3521066724989494, 2.6484547896320407, 2.7106583182764483, 2.9067200014720567, 2.564801914114502, 2.7284870400947026, 2.6901276536106176, 2.440053600821091, 2.4745893596085287, 2.0858762174905805, 1.615267998662507, 1.3121559274073304, 0.9536060205429212, 0.5821771468582974, -0.2670046713774143, -0.3676102676527962, -1.0032309418045922, -0.8350288175236373, -1.4645038961715986, -1.8224337711482181, -1.8987245112667146, -2.244700606134745, -2.7575132210714806, -2.6959115616691496, -2.842911720807536, -3.161177558259837, -2.928206509988607, -2.7466874638664214, -2.5964136384590044, -2.6797709019090026, -1.913304991933112, -1.8797714778364945, -1.5288671811951684, -1.1013103800043966, -0.9595337459677752, -0.3144422972825313, -0.0744821051890557, 0.22428423557151927, 0.914561994964793, 1.4778361990975952, 1.6795554166822655, 2.0423443569273196, 2.0381295292764836, 2.062666541140296, 2.8705887509535195, 3.1203100354199087, 3.0984420480731822, 2.7451506241280432, 2.5452949248919077, 2.4692369049698213, 2.1959688715482564, 2.308885690071668, 2.4006573177450914, 1.7570827896912007, 1.5146259689552806, 1.3677714374663088, 0.6275898178977168, 0.7165327862191395, 0.3024250345552691 ]
[ -0.026222267736096535, 2.1295248840215892, 2.3844793461034945, 2.1755267483216603, 2.0137206934119645, 2.501279467530028, 2.4883212142808477, 2.276134057578144, 1.9924587860797962, 1.9991264865819545, 2.2664775945092623, 2.145057529924425, 2.17681315039711, 2.4494243678374326, 2.3916676003099435, -1.9694032007259092, -2.4431563815008834, -2.313670050562774, -2.0932353977334093, -2.1554160686228534, -1.9385556603079075, -2.160924395644618, -1.8754099160043212, -2.1370281764808037, -2.0325982473077, -2.3097347261823233, -2.242174294448634, -2.0628428560575367, -1.9224361027068209, -2.0991843469632814, 2.2283973824385077, 2.5204987427311, 1.8066360055694555, 1.960584836524057, 2.3813585815591094, 2.2478534080760566, 2.366134467050265, 2.25791324131182, 2.3592208757462063, 2.082151172626794, 2.35912895404137, 2.4439146424669485, 2.489141857611678, 2.647742595755172, 2.2938514255259093, -2.190249519455996, -2.5496662296602013, -2.3513140170531166, -2.283648151626754, -2.0349678263701607, -2.3672319616433577, -2.085763732875665, -2.245356080218108, -2.280465359848384, -2.1952529429987804, -2.3232630112760004, -2.330839186443965, -2.5859889179834545, -2.2946225782910097, 2.1490381075956866, 2.141835538955616, 2.3284063493434397, 2.3767581273835336, 2.291470637753897, 2.4441147749153265, 2.360144121991505, 2.1860204988643033, 2.152460479682556, 2.307596184178801, 2.359785158805812, 2.524600598231731, 2.4832663458134507, 2.136737135523998, 2.2246304807999793, -2.1108281758418777, -2.0314321812136376, -2.057237843084473, -2.257807303391701, -2.495836267311135, -2.44481901207455, -2.190505033961549, -2.176586620940563, -2.464767611512309, -2.2361178146475775, -2.1187868654310753, -2.475277068326861, -2.024032296464549, -2.3205379665373966, -1.9935091143101016, 2.138341247670252, 2.039706640248596, 2.153404338857088, 2.226002112209968, 2.1673357554711354, 2.201831452510809, 2.3118247667606697, 2.210795862866152, 2.2318092580350304, 1.9031864569849126, 2.3233713400275264, 2.227191077287098, 2.567090332922006, 2.0571187033746403, 1.883372671125529, -2.1214180380394234, -2.1757263331628316, -2.446718340931661, -2.55098152782625, -1.9375523906885737, -1.9622096587040754, -2.742523088566658, -2.336676342676732, -1.9121933258686519, -2.3402442483810053, -2.3431541836307623, -2.3015836023513057, -2.4692111315790637, -2.5859868856710406, 2.4555411989723814, 1.8764443555758965, 2.2944860272471828, 2.4223476353769615, 1.9547864770452001, 2.0601780563064174, 2.4876675745037495, 2.35161008087084, 2.1215745954496543, 2.485481537497666, 2.4863388815162923, 2.2988422754285733, 2.064999691250699, 2.162341996131073, 2.3023090856165096, -2.2827507026549294, -2.0572403011784615, -2.550986552847299, -2.5438844426386797, -2.2088575145289453, -2.3433406195868125, -2.37044145976498, -2.5986430806603114, -2.2411225678657956, -2.255582758425585, -2.1143359404350837, -2.2312505102012374, -2.271552552473531, -2.0096316094673643, -2.507525197515142, 2.352309580594947, 1.910802303866362, 2.07735936082527, 2.002500310300769, 2.4014202439158154, 2.231949690106353, 2.2423310879068366, 2.0236851392795416, 2.185093037638854, 2.0923386761636094, 2.321722739796275, 2.046813509759109, 2.5109906098664467, 1.9099156469006129, -2.406335703316744, -1.9095916348322124, -2.3320594864178386, -2.508007469706314, -2.201217424317898, -2.3401101852683404, -2.412205787949093, -2.4642058989851754, -1.691357015700243, -2.295342116862259, -2.6301452088920074, -1.9462897850243248, -2.1228175558033175, -2.3983250230293893, -2.43165555456266, 2.3797262960570778, 2.195648071327541, 1.8598361731364115, 2.6024797297463653, 2.1582336443822405, 2.544146084121917, 2.500718728418575, 2.044829827928869, 2.4516697096980615, 2.1147432268526956, 1.8716916194646434, 2.160112103621003, 2.3245592371806874, 2.152484407226164, 2.1836220686404113, -2.0163185278397093, -2.2237329407674133, -2.4136913990824223, -2.1046256720919665, -2.2054966234345827, -2.7493526971178404, -2.159361154071142, -2.1666659952822114, -2.24100751090926, -2.066691620611517, -2.3795104536907323, -2.1777317790612516, -2.5584236110589025, -2.1636136601456655, -1.8544197977174526, 2.0460604663319235, 2.093071310427877, 2.1030286482471214, 2.271031381985751, 2.032424482254688, 2.329281212563628, 2.4143997259192647, 2.351901179516189, 1.8913486516978173, 2.4440652698571528, 2.432505219676168, 2.411064011294693, 2.3196001865565967, 2.2890695996664583, -2.0385538572001525, -1.860329039304741, -2.4356398294984016, -2.0294066576664775, -2.2622751564269223, -2.270966347231152, -2.5523378749018395, -2.301989618728511, -2.444484728419115, -2.337802622726621, -2.464669013581062, -2.3348134142880332, -2.3262538082301125, -2.225680753137672, -2.567981709283698, 1.955928107276367, 2.317414590971537, 2.085544113411412, 2.4599376948714182, 2.290085681228441, 2.3663841668667134, 2.5271702009096106, 2.1830895744641174, 2.130134395742177, 2.4193722539451947, 2.346934449611369, 2.2075656748611716, 2.5233233302166203, 2.2025828748574456, 2.251586464336588, -2.24078720665858, -2.4319505158051262, -2.2295146589281534, -1.9656797013457334, -2.1560380737501967, -2.2388190515456454, -2.277385193058566, -2.1788583311441614, -2.0950784111275946, -2.123183970647481, -2.3114047091898278, -2.1800754180034088, -2.149043788595776, -2.4464707343308274, -2.211385628588693, 1.8127709595649595, 2.3415384787896687, 2.377100347737968, 2.394540961982724, 2.1660223663915184, 2.3068411038302385, 2.529822505933665, 2.5277856664836835, 2.2391971969801197, 2.2728956629713437, 2.467213965772318, 1.9448713337729968, 2.180416588290027, 2.512145827932783, -2.0499916284884785, -2.171178981295451, -2.546198217891556, -2.255013783433664, -2.3630148160754185, -2.178823956261989, -2.406901073784408, -2.450176415820353, -2.65800479236216, -2.0006707998300914, -2.3249858391140434, -2.213602580084925, -2.245479360120268, -2.4585185234175317, -2.4968447191150704, 2.043968711625985, 2.100398049059553, 2.318352986228193, 2.0858882041213094, 2.594329863144356, 2.450461944004062, 2.406703646758573, 2.221099956330802, 2.5478878839695285, 2.201430610601207, 2.2387794539945824, 2.2790266447752856, 2.3853963449341005, 2.3724133526260287, 2.150006681136511, -2.3516304807106225, -2.1170511453950147, -2.1019844200471853, -2.3237019617900065, -2.5624693507611225, -2.286494956027081, -2.12032657706026, -1.8839483675414757, -2.484623329293564, -2.3303459873915466, -2.322912449130507, -1.9738706689391314, -2.252020036917158, -2.426497048699885, 2.3567707934097957, 2.1641040328172423, 2.000154282153841, 2.0664770753702015, 2.591840127709956, 2.3218735811553244, 2.2665837479159405, 2.1950529896630226, 2.3034615052491914, 2.3010789260259306, 2.303465502466897, 2.2680007548809824, 2.4187914044865417, 2.249652606025578, 2.049443969714904, -2.3675163150056053, -2.6408354755233745, -1.8396683136169534, -2.0724808184348946, -2.4110458358512794, -2.3014007067048516, -2.3724070316667185, -1.9365222945506084, -2.5290071696796175, -2.222136525061676, -2.2667373053384012, -2.079664010683609, -2.265833582370371, -2.596673512156519, -2.29525530375392, 2.050599293236767, 2.260947646136744, 2.531867144129497, 1.8971466879789762, 2.084987189745451, 2.134493146068732, 2.1687055177427896, 2.3930568696464807, 2.2103228533131545, 2.3281922819695207, 2.1198771280790765, 2.2910166059090193, 2.4005912630009747, 2.0985718268780142, 2.4013033607867347, -2.234557183079918, -2.0359396887289813, -2.2853157168408265, -2.168782805793012, -2.253152983161138, -2.2642741892335474, -2.193245651180294, -2.137670242980451, -2.494944719210233, -1.9583050150618562, -2.6169643449353917, -2.381994158773211, -2.263885550978412, -2.162560543008242, 2.5602662423737073, 1.8733734391804102, 2.1434929111474896, 1.8196650392655787, 2.2513561316074813, 2.299368453725438, 2.563190885259682, 2.2691586890041227, 2.453836762713908, 2.3617991531332434, 2.157982097424398, 1.9632395874670239, 2.300032196483794, 1.946611333396359, 2.5040731513593606, -2.2774441572327966, -2.0059962545231484, -2.3410746236519118, -2.1912615795452335, -2.203161965358494, -2.2540405604276166, -2.33156363950475, -2.166540533131328, -2.4302643895220735, -2.4869188026172435, -1.9964663581600663, -2.0995981390470115, -2.231853415104984, -1.9120032603166754, -2.298584840570401, 2.5095723808232275, 2.2801465538105963, 2.0400815868101536, 2.6146397751796018, 2.443173906150249, 2.220827530623519, 2.3904659887322217, 2.1642910500258505, 2.41086154383734, 1.7668160237686399, 2.041071470086513, 2.440883685682824, 2.1951006291816477, 2.2865401958031804, 1.9756746044023448, -1.8754583376850111, -2.0069258080818964, -2.2851687805004977, -2.325970908198097, -2.039110864541493, -1.8485376467916463, -2.054279685663161, -1.8106712033461114, -2.4295020026378156, -2.40890910292519, -2.4828199604361014, -2.156679606895536, -2.2099110268645576, -2.275421961519829, 2.4068834624500917, 2.4914974578683644, 1.9398992549680634, 2.125637331245209, 2.4090604556500437, 2.151484000053715, 2.085390521553801, 2.4487392223555107, 1.9871317228806358, 2.1847157752672106, 2.3107605419863937, 2.130267754043408, 2.4016628680280667, 2.131256341785958, 2.5267556355146157, -2.2701809963245863, -2.110777709484361, -2.0958269462288683, -2.3705397373742465, -2.6557290465566097, -2.1728805858926648, -2.230574067400458, -2.133866531310406, -2.2903372313019994, -2.3311172765855748, -1.8433371346290919, -2.5395025491275875, -2.098241641152584, -2.35995210846211, -2.312187460373516, 2.1816111703106387, 2.0843448819911803, 2.3592765788726795, 2.523160456015423, 2.339034469074764, 2.265708136067851, 2.0477436370055826, 2.3483967899903218, 2.6763016631712917, 2.1688928120664133, 2.1698350209550585, 2.1328139106292325, 2.1471488899265476, 1.6959718260909549, -2.1640246596542894, -2.4141421720963545, -2.5670843605837916, -2.094393746878922, -2.461435293833819, -2.3127655476021833, -1.9517432585877157, -2.5268748964303347, -2.551551383744984, -2.1911704989129643, -2.015134264023358, -2.5599000803718246, -2.163493789457996, -2.128831828833093, -2.6568638335638957, 2.404732004406876, 2.4203529127938674, 2.182674622174227, 2.4955010092850336, 2.472322851690401, 2.2656553219688726, 2.154742658760445, 2.0504661583088404, 2.2375190349521934, 2.3589835207662677, 2.1801963646173035, 1.8055315357730257, 2.4987745157407457, 2.2830763811944106, 2.169106837490065, -2.073600059140774, -1.9401040175288806, -2.80541405072301, -2.1581790068410176, -2.530361578987501, -2.1452096354656436, -2.2194462963505157, -2.117886431537322, -2.344881259724363, -2.619679759189262, -2.3351053750767656, -2.1636622097974754, -2.041953271090387, -2.479397996919937, -2.0396196514508285, 2.1154572788961277, 2.317521713144337, 2.1430529462523054, 2.281465862367852, 2.423407263739487, 1.9996289213677245, 2.1090505574760656, 2.282024254293849, 2.7253484690315024, 2.0723937943920663, 2.6530585140248157, 2.645916397560466, 2.2255695066851136, 2.185401231585452, -2.38344477655837, -2.2586722428919654, -2.5263756233373433, -2.2602795402895515, -1.9456556820552606, -2.3672487493207752, -2.293176597623242, -2.58525983167888, -2.170219319199223, -2.192135399835157, -2.2322912648722775, -2.2883971468698605, -2.3035833205799228, -2.1446516900852974, -2.2507950571431565, 2.308026111136498, 2.2880283003163413, 2.469717194244584, 2.3804305563004426, 2.28360410545547, 2.548716142955868, 2.329085442636744, 2.5060242745835155, 2.3664202585027594, 1.8766479210391231, 2.5059986894892976, 2.2720669850939657, 2.2346407826452763, 2.301301406323347, 2.1760351044340185, -2.199625964747643, -2.3634069500940504, -1.9901772850785577, -2.267749359549642, -2.3215485053699183, -2.4300168999692864, -2.1912765789957036, -2.2076103168004133, -2.1673468140899304, -2.4504821143264577, -2.565267976587746, -2.1199134763241196, -1.9481033644501302, -2.4503024613034112, -1.927143480113092, 2.301813948572708, 2.243619155915266, 2.1655219975162763, 1.9681281329404325, 2.4425774400103517, 2.089910464537911, 2.089070401677912, 2.4434169988028227, 1.8684350474910865, 1.9403121746917984, 2.2414048881238156, 2.303688622626402, 2.3419786664192164, 2.1846720381461813, -1.7389578030970938, -2.2906102485785986, -2.291188967245976, -2.404429070588207, -2.2202503735212176, -2.1220394904160766, -2.0043161259187396, -2.5428885897134754, -2.294230804496572, -2.155691014663603, -2.1276202299065248, -2.243722005264524, -2.1365469429190114, -2.406824515410592, -1.9334506503617603, 2.4435573574213176, 1.9760461794123974, 2.030011127202081, 2.0356473868040506, 2.3806257310047374, 1.9880861835419383, 2.1788268699838156, 2.3359726161087866, 2.231798549916145, 2.296809239967973, 2.03187119455568, 2.3640026115048807, 2.1223893583302327, 2.1801078019458435, 2.292578082406629, -2.224416092519262, -2.2402357330223133, -2.395157101220783, -2.30494161906527, -2.244595018658025, -2.520048783458849, -2.3375383300881074, -2.1674957610188623, -2.5005190575945004, -2.013715406506584, -1.9911090843054633, -2.494061852017449, -1.9735078102154038, -2.2737480545678586, 2.3287346486568428, 2.1457015263997823, 2.429640702270784, 2.326250540595165, 2.082201085505911, 2.011991336832374, 1.9529712497835872, 2.282620092111983, 2.359526019181379, 2.37522487258132, 2.221435517903956, 2.013632445692559, 2.108616777220675, 2.475501464617817, 2.1481060239054157, -2.2163482106891363, -2.4601618335404094, -2.1777151277336246, -2.336568649161247, -2.035689194070279, -2.090320195584069, -2.344172926140412, -2.2703645422949643, -2.3552549848335573, -2.528918376134434, -2.416520222734875, -2.205388271281268, -2.1799798371795154, -2.215322156106904, -2.3053783476171588, 2.4316450579696287, 2.2577401177376193, 2.385682502444621, 1.890276710384928, 1.4605516865017631, 2.301789342393048, 1.960078606081134, 2.2025413962828204, 2.184612328620511, 2.562511857308539, 2.325031047414153, 2.2782035421851665, 2.4124299677521663, 2.3187312541932394, 2.153496338227745, -2.03073655077452, -2.4669817624030865, -2.1803822993187194, -2.554545695652694, -2.2042429653222326, -2.206433808470846, -1.9097407444424992, -2.5580265155137876, -2.3652091719961943, -2.080495251510603, -2.1779682855459703, -2.208970726557931, -2.4362588774171394, -2.3631954064437175, 2.494039938470083, 2.2347298980746464, 2.3201036760543263, 2.221994071070136, 2.008414633775479, 2.431793822040431, 2.345678213731931, 2.7061591042988695, 2.0419154608953227, 2.4095463210655277, 1.9827229436180316, 2.2765010503600474, 2.4403330546380646, 1.8306047136061343, 2.20404524197711, -2.357673683633956, -2.385423196484456, -2.167989206373561, -2.0208945955409128, -2.2716874798712627, -2.203934451313428, -2.2221699862135824, -2.244671035554149, -2.4629002643678533, -2.023342816480853, -2.1859926631936646, -2.166055438824916, -2.4063336626305483, -2.33687581642328, -2.2802585763675873, 1.9382067981356614, 1.9074248717858961, 2.1248821506977182, 2.3495358901139096, 2.1144042588394436, 2.041270697307289, 2.0820946061778978, 2.153963252196369, 2.174259944261411, 2.678136027266743, 2.455955862522895, 2.4499865592817773, 2.478747809680108, 2.045267562958622, 2.000558813827984, -2.466405795132243, -1.9781305101578641, -2.35447009460193, -2.495302973273289, -2.3312309768693944, -2.2927528431683575, -2.1913490820865196, -2.1948415326830233, -2.4106678496001335, -2.1079004583226895, -2.3728704435754633, -2.2762870041664405, -2.1076769227247607, -2.3733960176143, 2.1311614521092044, 2.363365346764058, 2.0734851015044278, 2.1680733321046177, 2.3561801724340103, 2.655850225112627, 2.3661126377779813, 2.3395596894234343, 2.3511920535599775, 2.030393682012022, 2.2681510845614135, 2.2390784391581513, 2.309348644899983, 2.2683333473206058, 2.3209716723088545, -2.307325175805272, -2.2333099533510734, -2.49059745003683, -2.3090131924260144, -1.966865027190103, -2.1812700688997806, -2.249215944302047, -1.8658070815745624, -2.5171987324856477, -2.4669228479146756, -1.9024894545701772, -2.235839549615645, -2.2935483440833906, -2.4848726018445606, -2.1554924835464293, 2.3539237107309243, 2.0261328646584524, 2.216976619715346, 2.1779285704188185, 2.296227166109186, 2.021181688381303, 2.4954212277280634, 2.4281964931449527, 2.1723966250788687, 2.2017479944977576, 2.2177473067699087, 2.089370026224131, 2.1563458531784248, 2.19097766329051, -1.9224580626840062, -2.0557080751593446, -2.058100795358107, -2.171046614224554, -2.4684971386116787, -2.253329957740908, -2.0509340449027555, -2.4966846626988897, -2.117721095450779, -1.7805098917728786, -2.0326684076274852, -1.9622259097130343, -2.201363986737, -2.0514453470724336, -2.388602379696239, 2.404204499293677, 2.3759093636375845, 2.3030139716329643, 2.5082332207691316, 2.137274769255954, 2.207620233530699, 2.264124145097091, 2.0391095426075516, 2.2904181255854814, 1.9012456542346623, 2.4544226437110734, 2.2543592101386247, 2.1408531560446793, 2.0781570143664077, 2.198115930901594, -2.107379794670949, -2.13548394107792, -2.386139326281124, -2.4142396713509586, -2.1136519955615025, -2.3895012177484376, -2.233049782009531, -2.2202808083205765, -2.182619310480084, -2.0733776507890576, -2.4976243241988962, -2.6272636018775293, -2.3585211930711023, -1.8847260552589946, -1.8405969168079561, 2.611267163938609, 2.206435463273294, 1.888608720428466, 1.7764239164950637, 2.1222241045155497, 2.2054170107955597, 2.5051568170366236, 2.418592828733921, 2.290512752623756, 2.0670627826372034, 2.0528758251764536, 2.2958572742397187, 2.384441932593377, 2.3234079892745485, -2.451951328746763, -2.1148982110670147, -2.1598495434051497, -2.4591650180634677, -2.401895930885483, -2.1073325419131184, -2.29193324385461, -1.9272022764981402, -2.1448058816125166, -2.3423579744632854, -2.2470728569036185, -2.232355058297888, -2.3907097994737736, -2.427549376460957, -2.104753758063532, 2.414086396233851, 2.3657880307360237, 2.548095355690192, 2.1366770896231113, 2.579885890039658, 2.0648475131146014, 2.0424946241517334, 1.8930399603955816, 2.155872674060068, 2.144287269459541, 2.350219192876362, 2.293809925149522, 2.0064370626216044, 2.166486489140268, 2.1707393326078948, -2.6002281862178105, -2.4412210822281057, -2.3991944629482496, -1.9583067328612425, -2.206741593633961, -2.112597986035932, -2.544758836255274, -2.0061888402226336, -1.9848113242206131, -2.644700730254357, -2.3860950816086013, -2.14587862222233, -2.1161540461177952, -2.3807306829228763, -2.3061316294361625, 2.125555524616403, 2.2671153462146556, 2.4844674431178144, 2.090823305397191, 2.4451958363791144, 2.088697322356054, 2.075506294326055, 2.4087506604940745, 2.4294190124269552, 2.4153137241779628, 1.9818722551818035, 2.1518415412110214, 2.409629455226096, 2.2533401049382107, -2.4597703060649247, -2.1533681490003436, -2.387993188623726, -1.8861267671469895, -1.9360634443417801, -2.1242122515543183, -1.972830395871477, -2.2320734668007556, -2.0919442379504285, -1.9494876777650167, -2.1959320004665694, -2.2960691711282886, -2.5859561284608548, -2.2616584419697308, -2.0803470999129696, 2.4341584223389576, 2.345904749969114, 2.136771917832984, 1.8496674230359136, 2.1459887172244847, 2.1841627626146414, 2.182445943387429, 2.3687430082210166, 2.6421670190284, 2.2697375771936503, 2.2016853789941395, 2.193187374224613, 2.2699086902069747, 2.079372984755752, 2.2690714485746426, -2.1548692695590717, -2.203094524110534, -2.1535233500244755, -2.1582822149557246, -2.5994110732747204, -2.117657705146351, -2.3792347059579226, -2.4641995694262233, -2.465922102396431, -2.158323414730926, -2.2895467222704022, -2.581425493622514, -2.1494241737869753, -2.532953362985197, 2.272996008529074, 2.2927315219600426, 2.422147153164441, 2.6013686941188023, 1.9720964716453233, 2.234536965612822, 2.1897646778165885, 2.3317816740176243, 2.2881654910121556, 2.174522488278108, 2.1568512991032605, 2.021741565788622, 2.4426040533067335, 2.3368725731453375, 2.428585376384459, -2.3071109641205343, -2.3763988305643178, -2.4606947501512773, -2.1732482200773, -2.4529903817310785, -1.8752991230321217, -2.50656025304412, -2.1902997129829314, -1.9316607953826745, -2.12521378497267, -2.209896994327076, -2.438728466217811, -2.5213855745389724, -2.0910217150419146, -1.9438022886704425, 2.1572617387297974, 2.0172194353021617, 1.753397850715628, 2.048878768092924, 2.222300368325624, 2.564856384992779, 2.3796584752720253, 2.3060488177667824, 2.1650078045652057, 2.1283985933742406, 2.5261612563270246, 2.2851794449771097, 1.8245115984412275, 2.110323807245983, 2.0733885304711066, -2.3542845386609246, -2.1324496047684147, -2.2665207131842817, -2.260404818226164, -1.9823371045603844, -2.3843239547827695, -1.8721918316479618 ]
79
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave" ]
Noise refers to the random fluctuations in the time series. You should focus on the overall pattern of the time series. Pattern refers to the general shape of the time series. In this case, you see both time series have cyclic patterns. Do their behaviors at peak and trough look similar?
Similarity Analysis
Shape
458
null
What is the most likely linear trend coefficient of the given time series? Linear trend coefficient here refers to the end value of the linear trend.
[ "1.3", "0", "6.44" ]
0
multiple_choice
null
null
2
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend" ]
The bigger the slope of the line, the higher the trend coefficient.
Pattern Recognition
Trend Recognition
459
[ 9.20228670240441, 9.16755177576057, 9.352652368592013, 9.274017290887736, 9.278834304843079, 9.17738162900322, 9.25227559933767, 9.209237170194298, 9.31567237833174, 9.188113293997239, 9.403493497312825, 9.12459208726577, 9.205241672252116, 9.435733091241268, 9.239706161546179, 9.158065528251525, 9.300417450256456, 9.23597060209085, 9.202517927325228, 9.17838964851786, 9.536994908397421, 9.256743181507451, 9.101393083419072, 9.41870498914865, 9.33679533192421, 9.20895866291923, 9.193493150603794, 9.342586281963758, 9.257173181104083, 9.101354992547446, 9.445944848825738, 9.239812723467221, 9.418877782286204, 9.398727299423776, 9.187192856957559, 9.375968340349726, 9.2196329796418, 9.106855971462565, 9.24068433676454, 9.316988525516118, 9.237145052297533, 9.251593063292953, 9.38621134639457, 9.289970152211097, 9.201828597265925, 9.34523644548095, 9.298431883162417, 9.046080287839793, 9.31983894259999, 9.316449464349416, 9.281954676160082, 9.362838011173341, 9.217688705328728, 9.311314892308648, 9.134672218300654, 9.317865761194186, 9.461333064812397, 9.187763878555558, 9.20957711569518, 9.21419736396571, 9.292151366741447, 9.18143672234237, 9.319179542733025, 9.358674904973467, 9.329675306268339, 9.11597692033743, 9.372439847025396, 9.367075933213743, 9.357127118807632, 9.314687504351088, 9.30052117858831, 9.375894056383206, 9.458591150887266, 9.191644429618794, 9.38013839694821, 9.272086395681404, 9.268053645160027, 9.137496026477598, 9.253658711586029, 9.187540357859527, 9.237041321196303, 9.178174761321149, 9.238428326977301, 9.242400021601249, 9.289066358757628, 9.130237218946979, 9.145942069995398, 9.313673378446628, 9.20608446337901, 9.379804721608595, 9.300992644874249, 9.336395475702487, 9.411000898276022, 9.25134598366768, 9.226774549279583, 9.360982179711858, 9.327370721883485, 9.26270300123419, 9.409215933460235, 9.260390960253202, 9.28312883996069, 9.282056898295322, 9.193356287298048, 9.287287409713274, 9.409707983224378, 9.321380866393719, 9.282970130870307, 9.265075272640056, 9.310792167218146, 9.349666416298419, 9.33662531383496, 9.249290068459679, 9.310227433595706, 9.324626245276601, 9.186618842435884, 9.295699359030733, 9.07951652773355, 9.324866967837036, 9.341367830465968, 9.349460351706494, 9.243426724523152, 9.308767234197546, 9.412231579400109, 9.411286476992522, 9.277380165755199, 9.293016401267323, 9.383180943110373, 9.140811678761922, 9.25010570639958, 9.404029523544933, 9.370586880512214, 9.31435541911352, 9.140344854166118, 9.27545570448892, 9.225342753282806, 9.310808117313723, 9.20497933788395, 9.184899390027628, 9.088466114917823, 9.393471960585488, 9.242988364813256, 9.294670683846435, 9.279879718580224, 9.181028615640125, 9.163245093316986, 9.186793295229178, 9.212976754444625, 9.314108797947338, 9.206244122972384, 9.442163275100256, 9.375407931788702, 9.35510389060421, 9.268982966992917, 9.42061399377048, 9.259856304601891, 9.277186331184001, 9.295861203622183, 9.345217209425842, 9.3391930442477, 9.235995376562073, 9.230625134651717, 9.339470971557992, 9.346461997974343, 9.243584089503292, 9.132794977395351, 9.260848302804916, 9.337951156948776, 9.447631679348, 9.168915871612484, 9.24050123258389, 9.24395042682817, 9.405907338459244, 9.276844815957906, 9.195886719871371, 9.331934828399506, 9.242536609359869, 9.16646320844617, 9.197237274388014, 9.441008026976341, 9.315742369381649, 9.290087645092946, 9.256897060610711, 9.307199085684095, 9.306093558510517, 9.307200940410581, 9.290745142518304, 9.360712663024215, 9.282231521251706, 9.189333838914171, 9.223254038103654, 9.096432752976169, 9.468177817912103, 9.360151798079363, 9.203056150168633, 9.253931969339074, 9.220984724196127, 9.423237147421053, 9.14832157567659, 9.290710896076313, 9.270015939082928, 9.356818765479035, 9.270435270490166, 9.116924097005354, 9.256783463169171, 9.189869914078105, 9.287472469232634, 9.413180300459858, 9.11866723451445, 9.205826048363754, 9.228797028482711, 9.244671718477894, 9.348771726375675, 9.263982344087225, 9.318674274177765, 9.222015132250544, 9.301424597995004, 9.352267717824144, 9.21212937937018, 9.352598134309236, 9.284947656466551, 9.377107041980064, 9.261395474941661, 9.315467255020065, 9.276319123948719, 9.271158835721584, 9.304116387836027, 9.329903620154598, 9.164126701577517, 9.413129869894018, 9.107509061907013, 9.216536255314463, 9.27133916557066, 9.318354412149008, 9.42635760617443, 9.107636343161724, 9.232972958816212, 9.08271541084788, 9.283021964567627, 9.305299891886808, 9.427714653256805, 9.29128242901264, 9.376973862421023, 9.334268009289579, 9.239696004579299, 9.149334628761517, 9.30560787142783, 9.141619046192504, 9.400283766330105, 9.265047913005485, 9.391000926330948, 9.235523098465421, 9.305037005746847, 9.29951517471425, 9.275907284217574, 9.239936236681142, 9.316507679335807, 9.194138657263252, 9.167850761957041, 9.39542283989752, 9.34756924278859, 9.286202216624787, 9.434614086475532, 9.255238543533293, 9.402835432837852, 9.296380846309562, 9.184989652324447, 9.451587163056947, 9.372026250369341, 9.268856560273996, 9.347569546307012, 9.242623386162093, 9.357033173022458, 9.058193236660212, 9.185448962491346, 9.370963578062161, 9.25691916555558, 9.29934752414001, 9.155104530971563, 9.451571090310363, 9.390569609416714, 9.261463654045816, 9.242531288452629, 9.375635602542207, 9.46406240855219, 9.368597203240547, 9.481632603820874, 9.194492408109856, 9.204047603585757, 9.169752642644667, 9.321083192210212, 9.29638358067605, 9.265986220655092, 9.35518732587103, 9.394448589583344, 9.138504612464038, 9.224687891696828, 9.356197460231199, 9.23668085899685, 9.206013196085745, 9.374608581413952, 9.160420684023265, 9.252100547948256, 9.310585870633425, 9.226836428114249, 9.35276494724058, 9.227295137147797, 9.410808538120726, 9.268418051413354, 9.342381873241017, 9.349319092739666, 9.221851156909567, 9.089522070918628, 9.313565867142891, 9.286795839551571, 9.331668558995094, 9.259065470283202, 9.240143351026642, 9.466475468926467, 9.143451673738612, 9.348198663740702, 9.22676386300213, 9.24892686848913, 9.250659997678529, 9.205528014758318, 9.333097523806789, 9.409140359118975, 9.323705096384575, 9.289681357368233, 9.188544877105084, 9.328049254211045, 9.480198548602253, 9.244758623862698, 9.245195812905317, 9.228017855899035, 9.234669348949566, 9.025321219285765, 9.317675055625752, 9.20161943661718, 9.130653592665945, 9.349984103502393, 9.179675221418094, 9.248658633488276, 9.416174553578717, 9.149310959784184, 9.137860961812041, 9.305079267558323, 9.386760849981641, 9.133987130085977, 9.317921381717206, 9.334004682950685, 9.08899552478722, 9.354189039935196, 9.361437209703992, 9.251153443991461, 9.39630625493975, 9.385551488506728, 9.289656851395462, 9.238192890880002, 9.18980813888963, 9.276601491239184, 9.33296154356449, 9.250003521652864, 9.076157403451386, 9.397825176243328, 9.297740299021598, 9.244857932594753, 9.35963246549976, 9.421575212303829, 9.020067574729136, 9.3203874640818, 9.147693123837762, 9.326405309087635, 9.291959173956977, 9.33908339513702, 9.233756802689426, 9.106249097824447, 9.238292855895201, 9.317843233943542, 9.374316713479683, 9.171340448673185, 9.375399523192426, 9.219964302910993, 9.313723083603026, 9.23276881318181, 9.296993011246679, 9.362854441892981, 9.16621943874512, 9.216991556169027, 9.29725210754101, 9.50295648089945, 9.199982657875472, 9.469413625805103, 9.466099652548259, 9.271056857893218, 9.252418602675972, 9.215863162321662, 9.273758163309553, 9.1495426246816, 9.273012370291758, 9.418999215697887, 9.223378189750916, 9.257747991899596, 9.122220094634889, 9.314800706520744, 9.304631549312953, 9.285999052418969, 9.259965677939606, 9.252919226961083, 9.326664198182831, 9.277413211927291, 9.309317082767183, 9.300038011138454, 9.384342452062834, 9.342913061794922, 9.297985165385352, 9.42099830956037, 9.319088704631262, 9.401189096034253, 9.336412222379364, 9.10915571705656, 9.401177224438706, 9.292631891110162, 9.275265969588258, 9.306196790340955, 9.24807267873942, 9.301155894453146, 9.225160801384186, 9.39834099729617, 9.269546341505338, 9.244583302694728, 9.194253493497495, 9.305030045936268, 9.297451120201957, 9.316133561446852, 9.184757544584622, 9.13149640277932, 9.338142837495962, 9.417863480368124, 9.184840904372559, 9.427588958313802, 9.306434612184923, 9.27943197402899, 9.243194551177984, 9.15160293522846, 9.371749487473343, 9.208110469386535, 9.207720676547675, 9.372139046422667, 9.105344907832725, 9.138696209020676, 9.278404544095443, 9.307304469139826, 9.325071216821156, 9.252080253732927, 9.514907934987606, 9.258938789073532, 9.258670261082356, 9.206126358171833, 9.291586078635241, 9.337156357664725, 9.391780513347046, 9.14188053610676, 9.257258835302551, 9.321541903326853, 9.334566870148373, 9.28069513891449, 9.330424836292924, 9.205014861304027, 9.424662403750489, 9.37220417343514, 9.155276943400342, 9.180316915049458, 9.182932164140228, 9.343003623710802, 9.16086355794195, 9.24936807015702, 9.322284383225348, 9.273947161178862, 9.304112405517309, 9.181179994431673, 9.335290423605086, 9.223180818067755, 9.24996242818621, 9.302149129914932, 9.28965316681226, 9.282312784472978, 9.210428592485052, 9.252288970526912, 9.280290056884063, 9.152478306039123, 9.237163954135767, 9.316064449420798, 9.161540184202412, 9.38741920607109, 9.397908638382097, 9.164536355813881, 9.406075706493068, 9.266762920797266, 9.318925934691306, 9.233997765946885, 9.365746784617162, 9.317773297692932, 9.20453328381886, 9.171955653555441, 9.144570075194657, 9.297528578892964, 9.333213265200301, 9.340497601795793, 9.269138669029562, 9.172717135239669, 9.216790280234521, 9.387026378798407, 9.235113463299287, 9.293396699245239, 9.180266112560387, 9.311322618597448, 9.237613890324196, 9.377223272596588, 9.351874249108239, 9.234085472568426, 9.26833288528084, 9.228943348896376, 9.148362776269662, 9.200516010726716, 9.298482159035151, 9.310271783515764, 9.293872793056165, 9.252086326569945, 9.366676814422238, 9.285984162035694, 9.345349987761486, 9.115479534882914, 8.916085245521487, 9.306423194810009, 9.147867919582172, 9.26037171401328, 9.252052548252033, 9.42739958131952, 9.317207447526675, 9.29547928042268, 9.357760928574342, 9.314284315936485, 9.237614592705304, 9.379521320733264, 9.177101635758964, 9.310085039324058, 9.136471587999065, 9.299013586006145, 9.297997025209261, 9.435663903730353, 9.134856472369247, 9.224324562544282, 9.356433066102051, 9.311205152265996, 9.29681988412827, 9.191357188678712, 9.225258958562575, 9.395628311695438, 9.275307319537, 9.314921125678731, 9.269397840140043, 9.170296047703676, 9.366745841601322, 9.32678782294456, 9.494052531788958, 9.185840577915622, 9.356422903907648, 9.158374991175139, 9.294689316774424, 9.370708082850646, 9.087791467557983, 9.26106950498857, 9.227821062081132, 9.214945166828507, 9.315835488619424, 9.384088030979736, 9.267719036463026, 9.299156737854712, 9.290695369955573, 9.280254784712, 9.17899546868708, 9.382952045762705, 9.307481805963816, 9.316732765214274, 9.20524261913943, 9.23747136337202, 9.263742010225435, 9.137719305096265, 9.123436356725644, 9.224337484621984, 9.328577801647267, 9.219475697002059, 9.185541404792586, 9.204483876945252, 9.237831242827573, 9.247248996660305, 9.481049701560341, 9.37795713399474, 9.37518735119971, 9.388532697096718, 9.187395967924655, 9.166650912911136, 9.177368887090124, 9.403930753514466, 9.229307541394519, 9.163960470126371, 9.24009059359798, 9.257944615818845, 9.304996404185227, 9.303375891843341, 9.2032315374413, 9.343716930356173, 9.220769699044949, 9.265584837086061, 9.34382065185066, 9.220525830393703, 9.227251107923031, 9.334994729979933, 9.200489029145588, 9.244378381578569, 9.331660777685203, 9.470708991952101, 9.336269485018493, 9.323948800922038, 9.329346268725146, 9.180494422153375, 9.290814896147097, 9.277325061606728, 9.309930744214087, 9.290899466864014, 9.315323879734745, 9.251182989781293, 9.285526376512236, 9.166143853475399, 9.250399742691139, 9.409157986851664, 9.309673110358105, 9.27814592718769, 9.456049315330164, 9.15380074214794, 9.177128972339096, 9.439028533925681, 9.284352632788895, 9.257575499917225, 9.16880020805928, 9.32163402263298, 9.330613769592231, 9.178517384277766, 9.267069720780706, 9.248951255232495, 9.303842320702651, 9.176220016844136, 9.396269235948601, 9.3650766652703, 9.24638440841525, 9.26000357211714, 9.26742732294261, 9.207859703646745, 9.238936780097328, 9.255006091361073, 9.429763012480329, 9.367934424270988, 9.366824191640452, 9.314416838012978, 9.17639849457464, 9.27623700697017, 9.370149595176793, 9.163319360193682, 9.33916011180384, 9.495627584222547, 9.37862493070956, 9.411310557638084, 9.300349444653385, 9.369912348735218, 9.21347001192239, 9.353944275257007, 9.340815208637732, 9.306991428130047, 9.402214056719433, 9.230087713799744, 9.26272831669532, 9.288946378634353, 9.184538619565744, 9.301146900508991, 9.120569172773209, 9.377245713764529, 9.284415406132196, 9.231748100910437, 9.202656817133951, 9.25831827873318, 9.343958520566343, 9.330918073793452, 9.21461287947273, 9.201574196536887, 9.341048191938043, 9.213052947137449, 9.285647097151891, 9.29157195675531, 9.309047056367461, 9.359735663947077, 9.162883353150525, 9.10273016166897, 9.227427813997927, 9.447270828847886, 9.467746941972658, 9.450022256699823, 9.262178578117387, 9.11470558025252, 9.062651340880288, 9.223104139575437, 9.261706011716177, 9.400786591940935, 9.360620523007047, 9.301190807868355, 9.197509045119965, 9.190926234848584, 9.303670689258464, 9.344774357928117, 9.316454341455694, 9.184075822671831, 9.340469942496417, 9.319612327814315, 9.180728639298657, 9.207301746065966, 9.343980446052512, 9.2583249134828, 9.427561676534147, 9.326592652640247, 9.234927618079562, 9.279140329107754, 9.285969451990653, 9.212492159934317, 9.195398435190627, 9.345177013030293, 9.358529518629906, 9.336118865932203, 9.420710261555705, 9.229810387837714, 9.435461208446698, 9.196481150378784, 9.186109312198054, 9.116761694965712, 9.238717222918197, 9.233341544545056, 9.328894857115685, 9.30272071033188, 9.169378446044538, 9.2436420795072, 9.245615417464878, 9.115274712703835, 9.189054703957185, 9.208555238996654, 9.413129072827594, 9.297854211548282, 9.341537256964864, 9.141012733536726, 9.390911565724616, 9.400830826588265, 9.0946392578864, 9.21463340919417, 9.326094896308465, 9.339887229543741, 9.217122513631528, 9.251736800513417, 9.224649933063494, 9.290334309027108, 9.391186632011687, 9.208534031535164, 9.372964434833165, 9.207547566111645, 9.201426871449229, 9.35605371392475, 9.365643919560643, 9.359099004160486, 9.157980268022467, 9.236846759656613, 9.35646147852152, 9.28394253686481, 9.180447783020334, 9.32261972314759, 9.21375267924274, 9.446620892409502, 9.423450055923533, 9.336148186999687, 9.406390029709552, 9.286100111676127, 9.351120686351742, 9.417221152939339, 9.302869910025464, 9.256405825150141, 9.121897009884618, 9.27237255388513, 9.356501809090906, 9.367843026475239, 9.326892936748777, 9.229854388541579, 9.096636648054353, 9.234131023744826, 9.251843947660308, 9.251047336034858, 9.337489988401114, 9.464359924521268, 9.291551035662836, 9.259974518249775, 9.256031406892895, 9.291630432848935, 9.203221032709477, 9.291241949072043, 9.321923196647111, 9.299546467748081, 9.322547709194026, 9.320339575065464, 9.115653856680936, 9.339189525182167, 9.217816653482014, 9.17839258546088, 9.177593322633708, 9.320320458189691, 9.25943226992909, 9.123999244252502, 9.324449744885264, 9.146490524734435, 9.29306296204471, 9.302220326538382, 9.36226974507836, 9.445429323438336, 9.153444261732691, 9.275217798031427, 9.25444326079935, 9.320339767776913, 9.300101668220957, 9.247370818231603, 9.239171309215699, 9.176479802408291, 9.371761836159187, 9.322701967223919, 9.365257108793196, 9.251282384939307, 9.219132512059938, 9.180018836923626, 9.313395283274332, 9.183593697545524, 9.451644966605214, 9.158737043108404, 9.305483316035966, 9.42549290428404, 9.335683471115983, 9.296390091834775, 9.190211288680905, 9.151858029134983, 9.351548741013536, 9.419859198329418, 9.239361754996397, 9.174381514096853, 9.051967145714293, 9.18907158289114, 9.269539963405379, 9.428487452412673, 9.342554812823057, 9.308399610001109, 9.242955963401208, 9.225969129393864, 9.410532743579719, 9.298716129809025, 9.084964235489146, 9.2175823496275, 9.200444219764025, 9.22939364016219, 9.332326019103803, 9.27011643878914, 9.272954240781594, 9.401978875325147, 9.215455219782752, 9.453086763389084, 9.21778948642434, 9.28836508836624, 9.253991478270319, 9.291540821224652, 9.321345943540624, 9.320347707274774, 9.210197471105758, 9.175879954051709, 9.512383948157936, 9.23517324794241, 9.344974943290051, 9.130896898765197, 9.25413911290725, 9.268283203717134, 9.323965069559117, 9.027441293553455, 9.295505411875586, 9.17339040560934, 9.310186983280136, 9.183915162343338, 9.200697875719959, 9.254694536301956, 9.182430323043665, 9.235957405387007, 9.169341103202527, 9.109967597311616, 9.37455472208609, 9.15981296607493, 9.263505675176715, 9.349956368268572, 9.22302006746178, 9.203511300907728, 9.301082510146113, 9.383832653767163, 9.171573938956472, 9.26615356767847, 9.119310404824855, 9.24359802087638, 9.283261642371636, 9.200777503897076, 9.2376781760746, 9.149402742606515, 9.287240380262126, 9.378056766906008, 9.178271507532404, 9.222302933483858, 9.326724148731087, 9.39257049608107, 9.14151809785968, 9.264424046565527, 9.306362205563373, 9.270616495479787, 9.050238948783559, 9.326589008650982, 9.421083159296337, 9.290913730237142, 9.184399874630166, 9.232468760718664, 9.44433689764208, 9.364532737006138, 9.339482447428447, 9.313162817065376, 9.218733315783059, 9.26147423684588, 9.272856119756275, 9.331088394701798, 9.420116410196387, 9.383870174465928, 9.148367308733862, 9.30087434667091, 9.348459700239026, 9.33751819737671, 9.221693974441218, 9.550519300417422, 9.161572853962678, 9.17956658299601, 9.301765245490168, 9.476528591707693, 9.202487804617506, 9.255418313032335, 9.380061212347238, 9.278429794157265, 9.249035887541982, 9.332578645504158, 9.305377325467928, 9.37571303783899, 9.399936859623793, 9.308577570089192, 9.307160469686819, 9.299957104072686, 9.325479160989499, 9.285207301168938, 9.28003095005411, 9.39113546062276, 9.420784324637072, 9.140185186614762, 9.28101738938733, 9.216175972280674, 9.251228993811386, 9.317441273879574, 9.342211883832613, 9.269681985759998, 9.102527762084279, 9.19053034424698, 9.363283370839916, 9.0257734501617, 9.390281695443676, 9.32845801652486, 9.402229708682983, 9.26166002361828, 9.088787192362066, 9.32002544709066, 9.398376341929321, 9.36590240966814, 9.218589068767894, 9.288138921393049, 9.23063974620931, 9.204058773684492, 9.36874831233018, 9.168955372404383, 9.197140471633393, 9.177632873844983, 9.1417911448426, 9.293674792020607, 9.387875916004447, 9.262930693150887, 9.140352705562403, 9.35803500529418, 9.436522014122454, 9.220115565134265, 9.235677163452785, 9.327941174996177, 9.430598719345458, 9.231846354594948, 9.156434913271347, 9.33868361637953, 9.35424163346044, 9.280656421705904, 9.228292163341816, 9.37236663324507, 9.329089620564762, 9.20877593002789, 9.284643451728213, 9.1546477771414, 9.343738651692952, 9.255751913268137, 9.239653071611649, 9.27703663678526, 9.28382800747947, 9.363137709786507 ]
Is the two time series lagged version of each other despite amplitude difference?
[ "Yes, they are lagged versions", "No, they are not lagged versions" ]
Yes, they are lagged versions
binary
[ -0.010672579245432086, -0.004651852192281202, 0.012392298432495438, 0.00806499934130251, 0.0008942543315986311, 0.0019442340964708487, 0.01419774466478852, 0.018550989883147115, 0.01231121948360548, 0.010807827035007482, -0.005118994980271647, 0.004631144973452808, 0.0012052517743285085, 0.005330626608929793, -0.0002873909384746376, -0.010489494246368598, -0.004365144151152914, 0.009451405035702236, 0.014220502917628096, 0.017972781844453226, 0.017517441439740038, 0.01668030649103922, 0.012531576809833328, 0.000354179485648462, -0.00414908005936252, -0.0032385064078007965, -0.004740287063504594, -0.007748599310808367, -0.006001883278386641, -0.008939488308904684, -0.015863553179430837, -0.011798187771319862, -0.003945855810751509, -0.01517161508220879, -0.012438502648114046, -0.011431462664827793, -0.00017047129185342007, 0.006617585422576067, 0.009624953684830795, 0.01601003748938514, 0.040841334497387735, 0.03809798004878064, 0.04217276624580834, 0.033973669882491966, 0.02992487221180769, 0.037799376084843295, 0.02273535407171448, 0.032392365352852934, 0.04183637216015918, 0.03977915928082944, 0.017252125378353366, 0.02664575363016384, 0.033543454322656104, 0.04152855845660264, 0.02756315410594489, 0.02656711787947678, 0.020330640738756765, 0.0452767130614724, 0.03848951125716732, 0.03590518065033334, 0.022710088034653027, 0.013264599208419754, 0.011732039818190133, 0.01939506138506894, 0.02506773934659381, 0.027840632718014863, 0.007848100921987417, 0.018820775464542274, 0.02696735167303002, 0.040397899881427696, 0.03176554006939404, 0.02302090477006378, 0.03183976628525802, 0.03936011739954096, 0.03893859880115808, 0.023039088839725753, 0.011071781688724781, 0.02572025754690036, 0.046374722998632836, 0.05242748854865989, 0.054793527987137325, 0.0538973604304112, 0.0681860238590003, 0.06043976264441166, 0.07072641116937482, 0.0802882502325673, 0.06732207489671617, 0.07685928658234366, 0.056844535122217626, 0.05707346505231437, 0.05328988011624625, 0.05285577019893541, 0.06642691006631823, 0.06139783941961045, 0.057564480054768954, 0.06496841706620969, 0.06723937808893898, 0.047516695039297244, 0.059502590115443336, 0.05416128756602242, 0.0385141783009101, 0.00970426978617156, 0.011294924224590367, 0.006207981649925857, -0.005550873510284208, -0.019602701270365508, -0.0400717467112896, -0.04267728397347033, -0.04214090879770344, -0.0541562580407656, -0.05609043455880485, -0.05642745016487639, -0.04681636877984216, -0.045956942082647036, -0.04429356480778773, -0.04496104118001448, -0.04361098156903591, -0.04453523859017542, -0.0477934545495353, -0.05420630353189635, -0.05898406892206019, -0.07119812926654712, -0.06564311328153363, -0.05541334363403802, -0.05403514013964312, -0.0528022921146775, -0.05292492977288977, -0.05363304494926759, -0.0606990313797678, -0.052575587165508475, -0.057384061695493455, -0.052077078732977344, -0.055302950176830325, -0.05637516258135724, -0.06813709359207135, -0.06146937115640043, -0.056216374630970296, -0.06626018878811214, -0.05963615222980578, -0.057270136365898415, -0.03818471080967643, -0.035603659019738644, -0.02712276870133666, -0.023106311971073955, -0.0376510671515882, -0.04650254121075796, -0.0643648520749249, -0.06651202992420391, -0.08011826455608581, -0.06254234689038125, -0.05579322082497189, -0.054561309133514715, -0.06368872899702276, -0.0736958692256334, -0.06970079520007624, -0.0539626753898023, -0.062135711798347835, -0.08169498080156117, -0.07857271471900254, -0.07377640576099559, -0.07169995739739804, -0.08866163837365039, -0.09662578528520908, -0.09540360858526652, -0.0980321067968547, -0.07967107159851212, -0.0728760630317634, -0.07774754314720075, -0.09424810028428397, -0.08693147311454229, -0.10077908371483901, -0.10789220667681171, -0.0993310760023948, -0.08939050340460068, -0.0922775046918463, -0.0869143283881315, -0.08109195475720055, -0.09332408279024379, -0.09636165454661912, -0.09282979175051033, -0.08964759138165806, -0.10009390351191602, -0.10429730420977291, -0.10104739636383926, -0.11221442156614125, -0.13954130341242246, -0.13993197623143772, -0.125328387468271, -0.132593590025196, -0.13469583857924544, -0.12691894433438955, -0.11806826183398168, -0.10322840929353351, -0.10188905520059532, -0.08754815705185626, -0.1073848503098992, -0.1071875427288651, -0.10812926648375999, -0.08470011393143449, -0.07086867311135688, -0.07258834111526935, -0.07184034793739785, -0.07223042447103104, -0.07010174729518022, -0.05687519897397214, -0.0714584241466488, -0.08162910290919487, -0.08516323438451198, -0.09331356482776385, -0.09556307243388427, -0.08726925305276825, -0.07740550719764126, -0.07111332135722621, -0.06213170419927821, -0.05761356850871405, -0.061985886580547905, -0.056636887880640634, -0.059037716583543065, -0.06403969767367389, -0.059034877551517616, -0.06065739766841639, -0.060679044455418954, -0.06815893611846188, -0.05956554594161462, -0.0505267700865082, -0.06298804763781568, -0.06789279100468147, -0.05839860400513303, -0.03552363973970703, -0.026149418724109648, -0.028047066743644287, -0.01676918247092448, -0.02259834983380049, -0.021679698869290477, -0.0291084125332498, -0.05750841040533056, -0.05473504124689404, -0.05268457922711636, -0.06530849015677492, -0.08138176578308813, -0.09927866529475751, -0.08781969302081723, -0.08449045310755571, -0.07499044263138488, -0.07444741801711445, -0.07054090226431031, -0.0993462869276709, -0.09536093032196687, -0.09379467379656459, -0.09686504038469193, -0.09000455812713398, -0.10278004229473911, -0.09992275209851911, -0.09978961188569818, -0.09415046678262166, -0.08341043238279382, -0.08206684365199762, -0.07681028212854057, -0.08639099096966414, -0.07491057573881421, -0.07910600690776194, -0.09115909311325779, -0.08885258738755618, -0.08726471986187166, -0.08394560489852651, -0.09163672811029672, -0.11144175660478839, -0.1210195122842622, -0.1277041644688944, -0.12161954069815498, -0.11695853547661236, -0.12200847798015145, -0.12790766148493057, -0.13303240723391643, -0.13299387047904068, -0.13783756198197375, -0.14719169753542605, -0.14598368758358465, -0.13911784794975732, -0.13356635444429948, -0.12641869781051346, -0.13613202323005197, -0.1490965600840861, -0.14092837227206623, -0.1591253098072943, -0.14938419189972424, -0.1574180907666551, -0.14530950864138556, -0.1271730978169894, -0.1279572193362565, -0.13498394251179646, -0.12735010969777055, -0.12818788728834912, -0.13329401386116077, -0.13892711263470608, -0.14027801740752527, -0.1515521991841171, -0.1426609299378464, -0.13751255767558812, -0.12780027156743323, -0.11449781245801771, -0.11357233031594081, -0.11194750393865459, -0.10651973614626305, -0.10338335229605164, -0.08894296906960868, -0.10094976589368208, -0.09626332290187317, -0.10179500552769923, -0.09256499074026052, -0.08780991020339918, -0.08826420113205895, -0.08668258659743679, -0.0737104114437068, -0.07270698078437789, -0.06138211690798988, -0.060087838207266944, -0.05471951236220872, -0.0476912112083106, -0.03705445653789163, -0.03457787155044289, -0.024394131595219297, -0.02813960022523894, -0.021796766849074854, -0.013774299529107257, -0.024741358131876685, -0.02708540271153049, -0.035551609750571915, -0.03348892094040963, -0.02780612289917131, -0.019170679936004263, -0.02441779585710937, -0.029575238211811405, -0.021780658282977816, -0.024187430487330498, -0.02825412946100147, -0.024898400142366366, -0.03601273127791146, -0.022748830631452704, -0.02545513186843898, -0.02565580233233149, -0.04330028986178139, -0.03458246111729044, -0.04764378194502068, -0.037911465507628604, -0.024603147416451747, -0.029874894610257267, -0.029700598963605798, -0.024633744688874692, -0.03345553773494695, -0.03570369492832873, -0.020866192023504482, -0.007543162616668268, -0.017510226596650056, -0.017964013653134738, -0.02766308594530197, -0.031450116132014934, -0.025882470860077576, -0.020413812387559092, -0.026072317120268806, -0.02537049106228473, -0.050073898945975595, -0.03952740689957604, -0.02550353522250353, -0.02118916958294175, -0.018460587319251046, -0.040610715703422534, -0.046245930353752136, -0.05256443712884437, -0.03400261938762007, -0.03214344572951373, -0.02804911300458575, -0.03164957302129134, -0.043472570446849684, -0.05750021807270127, -0.05533684472981921, -0.05142679533903722, -0.047229756837200265, -0.055733344513269986, -0.050553068005933316, -0.0533703512999003, -0.0459776919025039, -0.040976133170150274, -0.041918235182478454, -0.0449332117165257, -0.04741953962679382, -0.049329875174343764, -0.06303885329962976, -0.06290844674853764, -0.05692385764155765, -0.05070591496804782, -0.06098054153419268, -0.07846158601582867, -0.07828644466913816, -0.07940448954207563, -0.06449162127311639, -0.06807973783520592, -0.05785756158249543, -0.06112321657082467, -0.05242354978759858, -0.056771235032341605, -0.05441721206843008, -0.06446688718034457, -0.070625306167804, -0.0720192874961783, -0.07045921901192201, -0.06258242423191226, -0.06901075451333182, -0.052910846371402045, -0.045756818099866835, -0.04883112564041351, -0.06462049111040837, -0.07211572832634584, -0.0850239956588808, -0.08323657510719154, -0.08142788054484643, -0.07819090339298504, -0.07771617377234868, -0.08388150771518228, -0.09765530271983228, -0.09896444835338068, -0.11124629388893421, -0.11113727007417512, -0.09935817577984865, -0.10347635470941566, -0.09490903644284238, -0.10334632505848376, -0.10533022028338855, -0.1223707378465744, -0.11331339985982147, -0.12778487280982467, -0.12548840239926837, -0.12851703167362383, -0.126199065138429, -0.135692539744366, -0.1423619219904714, -0.13863508070602215, -0.13320894486036364, -0.12857177874653883, -0.11489723445628917, -0.11425690811561443, -0.12130335149566092, -0.11194813144421355, -0.11876778078305024, -0.1261109242197819, -0.12777380476617592, -0.1072483990008104, -0.11401232031712466, -0.13050431203978197, -0.11974394629793032, -0.10846439128754048, -0.11177325577530708, -0.10543463663853654, -0.11195848943105126, -0.10900022054905525, -0.09406886280092387, -0.10115275302307483, -0.09495080096235567, -0.09261897570993154, -0.09152543004015981, -0.09708541401467646, -0.10069216847154329, -0.10308471891549684, -0.10626105791353957, -0.09830210345270006, -0.10073810282878924, -0.09709502125938169, -0.10100328805270525, -0.10640154601019541, -0.11189335247638871, -0.10059172235710828, -0.10880764053351806, -0.12013574021202682, -0.12008211549567974, -0.13092478952728157, -0.12131359334241508, -0.12080679568724262, -0.11497708400346422, -0.1166654691697075, -0.11263500839868154, -0.1182284410038389, -0.12639916006593263, -0.11597369959082146, -0.11515885767620748, -0.11873256112215677, -0.10998744910252745, -0.10407621333570193, -0.1050292728932626, -0.09854871633542062, -0.09914499643481377, -0.09251176696272817, -0.09451744654159279, -0.09461758975523146, -0.09459619958350991, -0.11209392241030977, -0.10146978527753273, -0.10248743196498612, -0.10127621858681601, -0.10740625389679935, -0.0944635745134324, -0.09382738837160311, -0.10677345151673769, -0.10338541980910795, -0.1171999397585182, -0.1335856990583984, -0.141334270089443, -0.13678060709468096, -0.16464580859659153, -0.17008830154686663, -0.16965511565364652, -0.184556786659773, -0.18588912329884252, -0.18257123477677825, -0.18818257657736837, -0.1809300356317129, -0.18128262950660218, -0.16351082882535473, -0.1635801956156032, -0.15472919220360012, -0.1494855200252858, -0.14028975742254043, -0.14850446546980978, -0.1392172012407739, -0.1304173708255461, -0.11996154573854459, -0.12271506742822177, -0.11526379616341854, -0.10987927983889431, -0.09583032850932177, -0.10173868356425803, -0.11841945798170812, -0.11530587783388643, -0.1140592064847631, -0.13622463790850547, -0.12132363716242595, -0.11497979110837711, -0.10242220431290265, -0.10084790866104011, -0.10482126594294859, -0.0938744568411784, -0.08897290474860442, -0.09011461300627721, -0.07986018974481097, -0.08025536238539689, -0.08904138224048985, -0.06950439834962238, -0.06788910348714414, -0.07831021758873596, -0.0799199702621705, -0.08211031813560735, -0.0820277380485148, -0.07835100372551497, -0.07506463755499952, -0.07277058817862123, -0.07872677974479424, -0.0822120819576778, -0.0860525160549145, -0.08358417241511465, -0.0864982900740857, -0.08269196654633668, -0.08403294519856908, -0.09841541009065609, -0.0945758898184359, -0.10842894715040644, -0.09901547134295541, -0.09252596362866987, -0.0875531257219623, -0.09360175431602948, -0.08646364334433367, -0.08473455739953208, -0.0913504675500828, -0.0904994969391217, -0.09184115504656226, -0.08315947016682196, -0.08720849582782912, -0.08218207046473096, -0.08675435458389845, -0.09246235311644319, -0.0854749318452143, -0.0838155940156301, -0.06892493054299867, -0.06539302564535004, -0.05536453615999759, -0.05587322565503609, -0.03864949077460518, -0.03569887280340711, -0.022160912780486236, -0.02527828459324663, -0.026465050270775507, -0.019788636774319312, -0.02890713607379304, -0.03177907014372597, -0.033003090406167335, -0.030347804290674636, -0.036921487016422276, -0.05015816852089365, -0.05064383861249412, -0.05527618953563095, -0.05172443198937094, -0.04642001990401147, -0.035236102503864525, -0.02812406724056281, -0.036050010225290516, -0.036956822574911494, -0.02368857551142122, -0.00018566617794346305, -0.011054116429007478, -0.03211263063961002, -0.05163115503672443, -0.056948133849613954, -0.05475769193700507, -0.06440696645078131, -0.057672053824832814, -0.05254822050371074, -0.05214086062222914, -0.046718305800593565, -0.04705613846531073, -0.045901533583290535, -0.04944365795872472, -0.04664654408733836, -0.052716959009064854, -0.060736493313412424, -0.056811782560154074, -0.06456599767100016, -0.0755600661998175, -0.07561760132959125, -0.08206097539309111, -0.0849613277143411, -0.08647820008482142, -0.0696064322808593, -0.06603697472866676, -0.08150492442762916, -0.07394074311470358, -0.0603317488145699, -0.047084948477298466, -0.04175491937079475, -0.050313083209410685, -0.05407341968858007, -0.0426132295306526, -0.050848911892187904, -0.04266377530396065, -0.0515670532300238, -0.06269144020185184, -0.06752894141236308, -0.07014719423493518, -0.08101136755832113, -0.09170840011489524, -0.10545186339959117, -0.08619895172137812, -0.09079490165851486, -0.09477871484607592, -0.07295622551657276, -0.07180799466558471, -0.0625381884670727, -0.07310227486048348, -0.05402825882857018, -0.054952920384036666, -0.05463787905366689, -0.056482197927703766, -0.04216414134744349, -0.05207589677470709, -0.060708710364315514, -0.059108167304308415, -0.052148641989699755, -0.052298082976724496, -0.039803027716058176, -0.045428683303274375, -0.05290146647233068, -0.03982394940658687, -0.033425649057060504, -0.02437237664029919, -0.01841418107642831, -0.04070505937838157, -0.04546861441348618, -0.03383617514667057, -0.04939330018356097, -0.045795899344766564, -0.049662059719860305, -0.04076028703901532, -0.033838103456211736, -0.029860042464444177, -0.03327251797118469, -0.04353414582717933, -0.048752467153040456, -0.04921120230034725, -0.039511040462586425, -0.023371172127981506, -0.01597126167788873, -0.008586038166897177, -0.031905639979022696, -0.03957064210252361, -0.047306095480346554, -0.055176168523247006, -0.05739538503958944, -0.054227164734367735, -0.059059386005384996, -0.05578168778197571, -0.04948052226270685, -0.04044143995105054, -0.04996367798762942, -0.06556279939794782, -0.04823265829975962, -0.05005626405975196, -0.048976408714156525, -0.05025245739376081, -0.03300884587884227, -0.028835848672933234, -0.03607109509400635, -0.032300504349372074, -0.043700441757719824, -0.04148848506532931, -0.0413496581079743, -0.04273089429046553, -0.04407651462165405, -0.05182510947760223, -0.03504596232892715, -0.021591425779830038, -0.020043455383305073, -0.032530122510550416, -0.03749836465780774, -0.034282035209023065, -0.0409577518218532, -0.03986154569613185, -0.038013080500177716, -0.03131598313416567, -0.042072644472345905, -0.030282092795210023, -0.03174926532850212, -0.03565353541182171, -0.037937732662272856, -0.017817243145006965, -0.027960428131778438, -0.019748178953879075, -0.016273821450986648, -0.019481734993113307, -0.02845090614921477, -0.02930837524815387, -0.021041828701322846, -0.016722703715713962, -0.00895023871894261, -0.011703743696352714, -0.00941225942753706, -0.004705113060452702, -0.01692038355215307, -0.01236978620216369, -0.022006629538663926, -0.020161389043075916, -0.018390966472048003, -0.029342796246570484, -0.04220094995609368, -0.023243619403966024, -0.030936962411027724, -0.03951323651292494, -0.05191023027676894, -0.05413062862702274, -0.05509340597839935, -0.06115697024370045, -0.06116296257711349, -0.051038287829262216, -0.03980832733455392, -0.02699917586641943, -0.027911897220731265, -0.028770705984944786, -0.027740182726180708, -0.028762029676362346, -0.02432910354306398, -0.020044911459103722, -0.019636881905728026, -0.02137661174491613, -0.014425260813215124, -0.014947314850098236, -0.009076206057093772, -0.010768664122279214, -0.002969642804853045, -0.017804231156769428, -0.018605360016204296, -0.003265118890698618, -0.00019608003513797625, 0.001361192675262352, -0.000029086757557291636, -0.005104217626893742, -0.008615216837291708, -0.023313212911272158, -0.02269127014484991, -0.017123948107802364, -0.012811064500297576, -0.007300221557005244, -0.016778086126488137, -0.010597684638526016, -0.015459083622530031, -0.019107490354631856, -0.011605166487500106, -0.013985609366803039, -0.014187458265701456, -0.015516173175691142, -0.014293085183355581, -0.016780902967229047, -0.03229184540983332, -0.03448980894383693, -0.04352383132856852, -0.01957992913330799, -0.02372477206095979, -0.028524767849339702, -0.033935766376015884, -0.036383624878331834, -0.04019568754911731, -0.052592301740980944, -0.05744035749681955, -0.04119886005144591, -0.058337031055620416, -0.06067203647690379, -0.0628105488418723, -0.07385242496677896, -0.08348121631335602, -0.0925132808278977, -0.08280687816971664, -0.09517309532788498, -0.09187297413062322, -0.11765908197985654, -0.11571299691554211, -0.12937111424861572, -0.12114288660809006, -0.13354677078509708, -0.12204143683022807, -0.11900357252038932, -0.12887887614003507, -0.10496132481708273, -0.09481360789563612, -0.0922418924966893, -0.10102705420568399, -0.11909090422002103, -0.1079410211125435, -0.1059499812090125, -0.11894804555401604, -0.136028960080707, -0.1463199282198856, -0.1372656564007753, -0.14179569671458914, -0.14159655136162091, -0.135968395091389, -0.15885251498669894, -0.14893657552828346, -0.15475698605980026, -0.14541148293040915, -0.1431839396874273, -0.1461874109427856, -0.1386283223273051, -0.14523444055117601, -0.14986836495460362, -0.1298212782583768, -0.12004808891870944, -0.12538088369860917, -0.12307066051590505, -0.12612016330673198, -0.11928869357326104, -0.1200877821089402, -0.11470005394234875, -0.12121210866765221, -0.10737658444441553, -0.10020598670277575, -0.0894570520653311, -0.10550636515764611, -0.0889380026481241, -0.09100803833434776, -0.09097528282044914, -0.1051553211604557, -0.11099903634836637, -0.11734320577388979, -0.11357840198478461, -0.10527151044274338, -0.09577127444223411, -0.10344026148601598, -0.10060995707478411, -0.09687959376481914, -0.11042727719668766, -0.10740713325160038, -0.11480398539989019, -0.11923691081321311, -0.12093390724998729, -0.11390678393504727, -0.12188221980907797, -0.1232440375880213, -0.11751502198405422, -0.1110245315466923, -0.12106070675748845, -0.11988855886564297, -0.1337657762256833, -0.1185148779678123, -0.12235890480753323, -0.11647778280080412, -0.1194113563983864, -0.11530041353277296, -0.10265328377857846, -0.10762262532738398, -0.11563672102117147, -0.1216643268476204, -0.1249485072963138, -0.11364062159219684, -0.11334141238918036, -0.11181285525032203, -0.12520340486365378, -0.13090018206860618, -0.12294624860828936, -0.11837969441150431, -0.1251779659437719, -0.11042641886956402, -0.12150386853943197, -0.12023851093825853, -0.109413789665955, -0.10219947095180049, -0.11092096212365568, -0.11721583195493111, -0.10790582191965269, -0.10121917022936919, -0.12073266091511664, -0.10831215598589733, -0.11117842078943846, -0.10805699481217125, -0.12242579878826251, -0.13768711714537435, -0.15553468401641168, -0.14639497257180986, -0.1546204231245633, -0.16381192665736802, -0.1650008336812821, -0.15928496893431074, -0.16714653545477187, -0.18127424703015355, -0.18947324996720408, -0.1956422140809237, -0.18440457527225987, -0.1937231080667112, -0.19323391461091002, -0.20466916238851654, -0.2126161681068435, -0.23035777551637593, -0.2362907658563904, -0.24474759222071601, -0.24739994780395666, -0.24077046925542483, -0.25474008328015074, -0.26048880893671394, -0.2642359386463731, -0.2644827428592014, -0.2687745884816149, -0.27471812430761683, -0.2795667966353487, -0.28547005479899773, -0.2859869079922918, -0.29211798396365485, -0.28032378424744275, -0.2796296458222634, -0.2739473560853839, -0.26803165524992933, -0.2691691999040839, -0.28064919062360566, -0.28772186560270085, -0.2926777156976779, -0.2919162026101295, -0.2830459269657857, -0.27731194524586, -0.2750809468188186, -0.27447008740507395, -0.26496971192182306, -0.26971441552631925, -0.26408351025520405, -0.27809041187221434, -0.2864026236179873, -0.3046638770467931, -0.3016068252466238, -0.29771681893607516, -0.2947211510652154, -0.2989641470305337, -0.29249085436916883, -0.3021589435405328, -0.2982864980906839, -0.31425674873597775, -0.3134888844769497, -0.31892040228154084, -0.32053492709627557, -0.32323762265272543, -0.3257499637082106, -0.3182634977309475, -0.3173215159777757, -0.31948968595319405, -0.3299957124782291, -0.31569884448291163, -0.31455849505317995, -0.3108746341919403, -0.3147316879046773, -0.3096728369395036, -0.3073271238625782, -0.3226754730417454, -0.31020838511559257, -0.3118957646234048, -0.3100433252554026, -0.3280164106802306, -0.3359655634290063, -0.3281578467065768, -0.327184468653327, -0.31660288865997327, -0.3052599110961768, -0.3101500495368599, -0.3040942050737071, -0.3158044335207122, -0.316193900476008, -0.3208468877585069, -0.3357419319527, -0.348565139387256, -0.35783857070340425, -0.35393863180799334, -0.34583055259222506, -0.32798935713047733, -0.34223878368551347, -0.34729520566049715, -0.33513568737944227, -0.32700131456908305, -0.32915273539566414, -0.3349210684816784, -0.3326252788929948, -0.34756863062395266, -0.3461364022313211, -0.3402854099426811, -0.33006015315434223 ]
[ -0.051246107150918166, -0.017139051657695706, -0.06589878269655479, -0.05402735164562676, -0.04965321555887987, -0.0007404518607266168, 0.02874386288969439, 0.04180653990390633, 0.06954051864352248, 0.17739668535598185, 0.16548076752595567, 0.18317983573180127, 0.14756658911128154, 0.1299804035643242, 0.16418376403455334, 0.09875231802170278, 0.1406981019389462, 0.1817186886732659, 0.17278306621244563, 0.07493559882724823, 0.11573736340827752, 0.14569792308352647, 0.18038168214813455, 0.11972214513860929, 0.11539580450247694, 0.0883073073542546, 0.1966620072474083, 0.1671814058482823, 0.15595621722116523, 0.09864257353656433, 0.057615549567797596, 0.05095878971203655, 0.08424356462218674, 0.10888316760897958, 0.12092738944916286, 0.03408867773380034, 0.0817491206966447, 0.11713424300399887, 0.17547060159766475, 0.13797545026873587, 0.09999262390327214, 0.13829785610642048, 0.170962933700109, 0.16913204342462584, 0.10007160745569554, 0.048090920552325674, 0.11171741794123148, 0.20143127656089388, 0.22772181184887164, 0.23799884023133724, 0.23410628490612004, 0.2961699163127057, 0.26252358520524594, 0.307204234704277, 0.34873663261909504, 0.29241730430548185, 0.3338427317894164, 0.24690750768509015, 0.24790187800324262, 0.23146765922265305, 0.22958207782922363, 0.2885291043797424, 0.2666850467815734, 0.25003462990685815, 0.28219405614935933, 0.2920581059646408, 0.2063914977994048, 0.2584529224247167, 0.23525266759926938, 0.16728854857149034, 0.04215105395190128, 0.04906015299077636, 0.02696472534505564, -0.024110538347313925, -0.0851454604062646, -0.17405393654465226, -0.18537123749895687, -0.1830414610736943, -0.23523082156704606, -0.24363202851623336, -0.24509587518446974, -0.20334959041258738, -0.19961662112387313, -0.19239164626230537, -0.1952908682746036, -0.1894268067063925, -0.19344137023583913, -0.2075936186497927, -0.23544819703611097, -0.2562006957987997, -0.3092531693899481, -0.28512463796539544, -0.24069104514200168, -0.23470473899749203, -0.2293497926944872, -0.22988247641636872, -0.23295821541181527, -0.2636497338689621, -0.22836508670896283, -0.2492509723866837, -0.22619978666082935, -0.24021154481140194, -0.2448687610581631, -0.2959573848841028, -0.26699574899442857, -0.24417905646305701, -0.28780494091897285, -0.2590330571502005, -0.24875613116523584, -0.16585748757417787, -0.15464654067682873, -0.11780930580517247, -0.10036359499300737, -0.16353957565305421, -0.20198646231665254, -0.27957243689600997, -0.28889882737809, -0.34799829005666627, -0.2716562808065753, -0.24234106356924773, -0.23699018428468957, -0.2766356574203002, -0.3201022465583603, -0.30274941275389805, -0.23438998418878876, -0.26989003789693755, -0.3548468477528441, -0.34128510544785806, -0.32045206163171985, -0.3114328887386642, -0.38510692560063886, -0.41969965576446244, -0.41439106097545053, -0.42580809413409265, -0.34605588172539137, -0.31654137120458986, -0.33770092526645423, -0.4093720442117173, -0.37759185328821276, -0.43773974636820306, -0.468636005060832, -0.43145024158784556, -0.3882727927828373, -0.4008126489182577, -0.37751738418297814, -0.35222756944645706, -0.4053585210820029, -0.4185523887100648, -0.4032115395220471, -0.38938946919745765, -0.4347636267490498, -0.4530213394364383, -0.43890517779098803, -0.4874097940224139, -0.6061056770121067, -0.6078025868708288, -0.5443710591607502, -0.5759278843208275, -0.5850591218249945, -0.5512797343887273, -0.5128362859061374, -0.44837853289085744, -0.44256097135597666, -0.3802704554381688, -0.46643227350082894, -0.4655752566745719, -0.46966568796667446, -0.367899816341005, -0.30782215763139226, -0.3152916345121324, -0.31204268312363703, -0.31373700298250706, -0.30449097123951835, -0.2470406978888002, -0.31038377517238463, -0.3545607033384208, -0.36991140666506167, -0.4053128357070365, -0.4150837013733961, -0.37905901987712204, -0.3362152724475357, -0.3088848013581332, -0.2698726306598838, -0.2502478484298637, -0.2692392634463097, -0.24600557994858516, -0.2564337175019659, -0.27816011005310215, -0.256421386003078, -0.2634688954491676, -0.26356291951351607, -0.29605225915374084, -0.25872637467656084, -0.21946593188975336, -0.27359220763728664, -0.2948962425448478, -0.2536576952594384, -0.15429897233174714, -0.1135815041974058, -0.12182404751242212, -0.07283790853263887, -0.09815723223460103, -0.09416701893455384, -0.12643406399228488, -0.24979108815970785, -0.23774479971125825, -0.22883849999717432, -0.2836711831773436, -0.3534863803057193, -0.43122259266485036, -0.3814498875365906, -0.36698914249396214, -0.32572530060290933, -0.32336664195906784, -0.30639846610568805, -0.4315163111166302, -0.414205685484192, -0.40740256018373655, -0.4207388740496898, -0.39093997478717557, -0.44643102504401605, -0.4340202207412822, -0.43344191856940945, -0.40894796748191065, -0.36229801035916914, -0.3564620554311993, -0.3336298781258589, -0.3752442380064054, -0.32537839416152886, -0.3436014907417374, -0.39595476390184026, -0.3859363236248647, -0.37903932970173876, -0.3646225629614029, -0.3980293989823893, -0.4840536793233834, -0.5256552119764547, -0.5546903832044473, -0.5282614699024976, -0.5080161256476111, -0.5299508413563602, -0.5555742841976178, -0.5778339121052318, -0.577666525494009, -0.5987053781192145, -0.6393356038935245, -0.6340885431896827, -0.6042663738552159, -0.5801531425232066, -0.5491068848408717, -0.591297272457132, -0.6476094839307366, -0.6121304903804614, -0.6911699351514393, -0.6488588292649444, -0.6837545310586718, -0.631160208179215, -0.5523836646578957, -0.5557895415751442, -0.5863105178261669, -0.5531525259428082, -0.5567914610917971, -0.5789702155368269, -0.6034379040442556, -0.6093056366215304, -0.6582756935964348, -0.6196559542488655, -0.597293703221987, -0.5551078299144969, -0.4973278336892331, -0.4933079487765328, -0.4862504219558071, -0.4626746003745167, -0.4490515367337553, -0.38632890165911177, -0.4384811142286983, -0.41812527955562107, -0.442152461192538, -0.4020613611041446, -0.381407395306482, -0.3833806340834051, -0.3765108003865958, -0.3201654115189496, -0.3158069527383997, -0.2666167551480779, -0.26099498117177017, -0.23767734910749244, -0.20714951881671448, -0.16094816313873644, -0.15019097380634835, -0.10595731359871019, -0.12222597201174008, -0.09467551043784686, -0.05982946222583347, -0.10746551203122218, -0.11764700447936531, -0.15442046168261836, -0.14546105420128183, -0.12077749406620289, -0.0832689508930004, -0.10606010068126655, -0.1284617481763358, -0.09460554195452918, -0.10505949544829624, -0.12272343633435975, -0.10814763303596776, -0.15642336955776517, -0.09881085423402257, -0.11056582930827892, -0.11143745300964587, -0.1880772994066722, -0.1502109088539171, -0.2069435070837471, -0.16467063088918196, -0.10686518583966173, -0.12976332297755605, -0.12900625981180847, -0.10699808685221586, -0.14531605232833825, -0.15508105239929926, -0.0906335051614898, -0.03276416066629003, -0.07605667631346755, -0.07802772649261826, -0.12015620483038077, -0.13660538825529786, -0.11242200079662497, -0.08866856819439851, -0.11324660894666735, -0.11019818709867918, -0.2174988600442189, -0.17168956526507367, -0.11077607206055022, -0.0920363767667798, -0.08018462277155193, -0.17639497936048268, -0.2008718583004174, -0.22831665588342415, -0.1476923329518201, -0.13961690523849904, -0.12183293556451091, -0.13747174072552168, -0.18882561003653814, -0.24975550429175508, -0.24035876775173545, -0.22337524333856365, -0.2051451652155059, -0.24208098736561787, -0.21958015841528652, -0.2318171904371097, -0.19970674915983574, -0.17798219114399644, -0.18207426541901575, -0.195169989399344, -0.20596949767735684, -0.21426715000002372, -0.2738128849514354, -0.27324645659650676, -0.247252049610034, -0.22024405798613866, -0.2648724894156061, -0.340802411534117, -0.34004167502160987, -0.3448979672309411, -0.28012306619941446, -0.29570825685537344, -0.2513076463789587, -0.2654922066430923, -0.22770470361366618, -0.24658912452889986, -0.23636429039483212, -0.2800156322448925, -0.30676507931495633, -0.3128199173888088, -0.30604367020097273, -0.27183035904454117, -0.29975218134371834, -0.22982130435200782, -0.19874737109464807, -0.21210080271409634, -0.280682819749569, -0.3132388136813821, -0.369306615252045, -0.3615428512832864, -0.3536866824256813, -0.33962668599363555, -0.33756467058259215, -0.3643441531590335, -0.4241714239538694, -0.429857773307968, -0.48320467577514165, -0.48273112456529166, -0.43156795102984497, -0.44945549806518387, -0.4122428584297903, -0.4488907067977783, -0.45750786980977975, -0.5315243379213425, -0.4921832694481377, -0.5550409445251732, -0.5450660932167068, -0.5582211186597935, -0.5481528976976221, -0.5893883506604074, -0.6183571960321669, -0.6021694465659634, -0.5786007134391684, -0.5584589157197473, -0.49906274611125867, -0.49628145182252553, -0.5268880839160189, -0.48625314756229304, -0.5158746866938589, -0.5477700525481027, -0.5549928698410125, -0.46583958939188086, -0.4952190706524544, -0.5668529852275235, -0.5201147177513558, -0.4711213218264112, -0.48549356503652125, -0.45796140825381354, -0.48629813807385647, -0.4734487270417218, -0.4085935158939988, -0.4393628004999073, -0.41242426502235935, -0.4022958479248261, -0.39754596941350323, -0.42169607958619404, -0.4373622250100664, -0.44775440546958317, -0.46155101659294795, -0.42698084013746407, -0.4375617435326531, -0.4217378092061265, -0.43871359080471256, -0.4621612347208671, -0.48601521196496406, -0.43692593153491566, -0.4726122446681038, -0.5218164971510424, -0.5215835751113932, -0.5686793533780062, -0.5269325699664498, -0.5247312652030237, -0.4994095772119157, -0.5067431752880247, -0.48923663711936977, -0.5135320333430279, -0.5490220215235824, -0.5037384343353916, -0.5001991216140874, -0.515721708071129, -0.477736811043628, -0.4520610185089926, -0.45620068751194637, -0.42805201737736326, -0.4306419942837948, -0.40183018056529696, -0.41054196517163793, -0.4109769429797586, -0.4108840335386422, -0.48688639900861813, -0.44073984833107843, -0.445160055247414, -0.43989908027707014, -0.46652524121154515, -0.41030796891890364, -0.4075446578219769, -0.46377662767847133, -0.4490605170956273, -0.5090646790303018, -0.58023716696714, -0.613893530895224, -0.5941144337760873, -0.7151485391511611, -0.738788320302628, -0.7369067524609814, -0.8016330175373896, -0.8074200983577869, -0.7930086587356926, -0.8173818445797503, -0.7858800158564476, -0.7874115276312693, -0.7102186892370654, -0.7105199878801018, -0.6720751454995412, -0.6492989538061518, -0.6093566300519692, -0.6450376869196359, -0.6046979205889956, -0.5664753510631145, -0.5210598734367744, -0.5330199532631517, -0.5006549279687673, -0.47726697162574255, -0.416244543508143, -0.4419078235050048, -0.5143617265726378, -0.5008377121247484, -0.49542272341822374, -0.5916995496396764, -0.5269761958763317, -0.49942133567780245, -0.4448767351890574, -0.438038691480456, -0.45529719735985374, -0.407749102426694, -0.3864589290025637, -0.3914180044844792, -0.3468773272708652, -0.3485937823633841, -0.3867563649270128, -0.3018963517382964, -0.2948802256003389, -0.34014493406516916, -0.34713698738625937, -0.3566508893511688, -0.35629219799333467, -0.34032209099606064, -0.32604757052090916, -0.31608323511363945, -0.34195429574834835, -0.3570929063652213, -0.3737740527469944, -0.36305266018211574, -0.3757102978377086, -0.3591773126763556, -0.3650019305779664, -0.42747299403619415, -0.41079581690593847, -0.4709673681782197, -0.4300793945977446, -0.40189184460032806, -0.38029203714254467, -0.406564603324376, -0.3755598077743433, -0.3680494235256837, -0.3967860097749837, -0.39308976998317396, -0.39891733913755995, -0.36120794154014346, -0.37879511737618105, -0.3569625497195124, -0.37682252876348776, -0.4016155486819483, -0.37126528251272783, -0.36405785321403894, -0.29937939999245855, -0.28403836793398113, -0.24047904707137244, -0.24268856915006481, -0.1678762860834064, -0.1550601072223604, -0.09625719923458238, -0.10979768299720855, -0.11495246797372136, -0.08595308196166476, -0.12555980811433112, -0.13803421892477127, -0.14335082133352817, -0.13181743337358542, -0.16037060237456643, -0.21786488978959306, -0.2199744257655042, -0.24009530842722912, -0.22466804524769413, -0.20162802627463222, -0.15305003781032148, -0.12215850359942836, -0.15658529280978398, -0.1605240844051693, -0.10289269016906855, -0.0008064517223841184, -0.048014190480736005, -0.13948305812318956, -0.22426289143910208, -0.2473574947159591, -0.23784318428649734, -0.27975536310972715, -0.2505018827641759, -0.22824621803946607, -0.22647682696517432, -0.20292364822218353, -0.20439104383163986, -0.19937595112012924, -0.21476137206813578, -0.20261194709332464, -0.2289791434423727, -0.26381245193234976, -0.24676524504802175, -0.28044612436133964, -0.3281994933339783, -0.3284494004792515, -0.3564365663111292, -0.36903441343062493, -0.3756230358138747, -0.3023395419870486, -0.28683539781373973, -0.35402132696168404, -0.32116587037932176, -0.2620544209229731, -0.20451618177570038, -0.18136489379794973, -0.21853777064899874, -0.23487100841992659, -0.1850930133425225, -0.22086517335052946, -0.185312561815998, -0.22398446155491825, -0.27230387617996643, -0.2933158409140065, -0.3046883726361994, -0.35187753431319646, -0.3983407104565384, -0.45803623368124186, -0.3744101044864448, -0.3943728773718959, -0.41167679907886123, -0.3168895615678599, -0.3119021548267363, -0.27163821845576513, -0.3175239352930827, -0.23467484962707194, -0.23869117027463435, -0.2373227701367468, -0.2453336752410975, -0.18314237298969735, -0.22619465275710282, -0.2636917750950265, -0.2567397242595441, -0.22651062578232395, -0.22715973130448094, -0.1728867401336414, -0.19732209873315887, -0.22978056222091167, -0.17297761469975215, -0.14518622913690782, -0.1058628197007906, -0.0799830545868222, -0.1768047665387911, -0.1974955418069794, -0.14696937281830824, -0.2145426401754127, -0.19891712272960604, -0.2157100126788837, -0.17704465105914188, -0.14697774854170595, -0.129698811828004, -0.1445210954581572, -0.1890930662424736, -0.21175914505019244, -0.2137516875464157, -0.1716184767047028, -0.10151403031781955, -0.06937209367611863, -0.03729395059911501, -0.13858398228397611, -0.17187735985572503, -0.2054767465025863, -0.23966086140728668, -0.24930015598302044, -0.23553880886886586, -0.25652783988204103, -0.24229096913367731, -0.21492149429271204, -0.1756597203942544, -0.21702010897234533, -0.28477578999283226, -0.2095013253994508, -0.2174222619016459, -0.21273184810077408, -0.21827443893186352, -0.14337582056011455, -0.12525016718864146, -0.15667687614973566, -0.1402990983869927, -0.18981538218119395, -0.1802076210683401, -0.1796046181945136, -0.18560409699419303, -0.19144887629531332, -0.22510534370823632, -0.15222415302467485, -0.09378359969350492, -0.08705990124554461, -0.14129645807643132, -0.16287630358872002, -0.14890599164252916, -0.17790235070047508, -0.1731409163457204, -0.16511200145364868, -0.13602277386455502, -0.1827449510503192, -0.13153201171367487, -0.13790475999563917, -0.1548631816544544, -0.16478472378612002, -0.07739022034914135, -0.12144772771881135, -0.08577735109167361, -0.07068627945212608, -0.08462003642371169, -0.12357814719711573, -0.12730261354521474, -0.09139639317323944, -0.0726360253861823, -0.038875876643715994, -0.05083588387940005, -0.0408826901643594, -0.02043692919003015, -0.07349465912520112, -0.053728877810453324, -0.09558706110021256, -0.08757215287964794, -0.07988222061752132, -0.12745212313154183, -0.18330225329839603, -0.10095999772493451, -0.13437647555443982, -0.17162801537565273, -0.22547507079509224, -0.2351194987343925, -0.2393013775336993, -0.26563881766255193, -0.2656648457073772, -0.22168773862506314, -0.17290975933138225, -0.1172724732183365, -0.12123693091544967, -0.12496721617671826, -0.12049107913230593, -0.12492953013137738, -0.10567486051412142, -0.08706622579452143, -0.08529392596184188, -0.09285054257794693, -0.06265695000303123, -0.06492452173787984, -0.039423023021916775, -0.04677431196883155, -0.012898814320229084, -0.07733370202985436, -0.08081345130728931, -0.014182231693241634, -0.0008516849100556757, 0.005912418673239666, -0.00012634000435873675, -0.022170462828643385, -0.037420689832168605, -0.10126228112655047, -0.09856083694990404, -0.07437885348056572, -0.055645595478273094, -0.031708932201024116, -0.0728765820726684, -0.04603165274735988, -0.06714741883503289, -0.08299448331199581, -0.05040770810313555, -0.060747298659232576, -0.06162404096082471, -0.06739539059266199, -0.06208283755272867, -0.07288881718243556, -0.14026148778509204, -0.14980846880968368, -0.18904826462452493, -0.08504654831922849, -0.10304991196381369, -0.12389896973972285, -0.14740195305090364, -0.15803436724292966, -0.17459228070214505, -0.22843768742885698, -0.2494954964375652, -0.17894961816291638, -0.2533902496118965, -0.2635324799557755, -0.27282123140836234, -0.32078225542424216, -0.36260546443266434, -0.40183675612572994, -0.35967643792158444, -0.4133898133841724, -0.3990555471592356, -0.5110589896759937, -0.5026060572711467, -0.5619308754463539, -0.5261910954478064, -0.5800680797731178, -0.5300940000172778, -0.5168988616664215, -0.5597928109109335, -0.4559055511350634, -0.41182835904648024, -0.4006579653003777, -0.43881682045707276, -0.5172781919266058, -0.46884803336996805, -0.46019983703543144, -0.5166576770943767, -0.5908496117403326, -0.6355490237321485, -0.5962212733344484, -0.6158977639802413, -0.6150327646858899, -0.5905865442258683, -0.6899850351585414, -0.6469145818111854, -0.6721958697124946, -0.6316031393685834, -0.6219276771767842, -0.6349734273174074, -0.6021400911593014, -0.6308341456118906, -0.6509618627757563, -0.5638861887136831, -0.5214357787173031, -0.5445990795565155, -0.5345644922912421, -0.5478101830536514, -0.5181373013581482, -0.5216081883720021, -0.4982062812082312, -0.5264917654447828, -0.466396370238694, -0.43525046653495125, -0.3885618507182289, -0.4582729652019917, -0.3863073297217525, -0.39529864878181314, -0.3951563733232794, -0.45674818541009543, -0.48213069842680567, -0.5096869632079333, -0.49333432141936445, -0.45725286024027373, -0.41598803877128604, -0.44929872507346574, -0.43700513507990024, -0.4208020874933019, -0.4796472296670804, -0.466529060739699, -0.49865771347162224, -0.5179123799616234, -0.5252833815865557, -0.4947606673070351, -0.5294024317286342, -0.5353175655756647, -0.510433256798696, -0.48224143828707644, -0.52583414254019, -0.5207428507565268, -0.5810193425002799, -0.5147761887703085, -0.5314729404356965, -0.505927948750016, -0.5186700943939642, -0.5008139776185857, -0.4458804421386269, -0.46746506296477164, -0.5022747485369823, -0.5284560011185511, -0.5427210277852579, -0.4936045758626855, -0.492304943480533, -0.4856655676337904, -0.5438281900292905, -0.5685724694659654, -0.5340241020150318, -0.5141890112184779, -0.5437176946176783, -0.47964350147385265, -0.5277590412282646, -0.5222628877112309, -0.47524508828717293, -0.4439092800247251, -0.4817915785413793, -0.5091337076994521, -0.46869514365118486, -0.4396512874553954, -0.5244092565564744, -0.4704600790379957, -0.4829098650637984, -0.46935177180446386, -0.5317634982883641, -0.5980519123186941, -0.6755738455159006, -0.6358749831908657, -0.6716027007489518, -0.711526524987889, -0.7166906110255843, -0.6918634237523408, -0.7260105900875781, -0.7873751178627013, -0.8229879586808619, -0.8497832091133339, -0.8009718786213733, -0.8414474617642898, -0.8393226218533285, -0.8889922782672615, -0.9235105546724168, -1.0005722468543774, -1.026342531628861, -1.0630752433319617, -1.0745959023565197, -1.0458003809902099, -1.1064782029611673, -1.1314481234852, -1.1477239968931803, -1.1487960051864066, -1.167437883490467, -1.193253973189855, -1.2143144603140437, -1.2399556016704545, -1.2422005832420504, -1.2688312643490813, -1.2176024795448945, -1.2145874493721436, -1.189906097086282, -1.1642109102692504, -1.1691519008998172, -1.2190159008553243, -1.2497364714079815, -1.2712624913284691, -1.267954815434702, -1.2294262630045374, -1.204520383617279, -1.1948299136347944, -1.192176610637956, -1.1509111833176577, -1.1715200763127689, -1.1470619154093034, -1.207901698181923, -1.2440062679719113, -1.3233250725257366, -1.3100465922070719, -1.2931501260656602, -1.2801382703744137, -1.2985679673833206, -1.2704508484008648, -1.3124447497714413, -1.2956245602384822, -1.364992262436376, -1.361656999864003, -1.385249109838962, -1.3922618912302567, -1.4040012048237245, -1.414913702694119, -1.3823958071419609, -1.378304255219504, -1.3877218262088207, -1.4333553566685675, -1.371256088254516, -1.3663029149199148, -1.350301853393917, -1.3670551880314838, -1.3450817779072597, -1.3348930382452546, -1.4015594756567114, -1.3474079622118569, -1.3547371921527307, -1.346691015215796, -1.4247581454705216, -1.4592857476259165, -1.4253724809855706, -1.4211445574279842, -1.3751828561331798, -1.3259139806998006, -1.347154578270493, -1.3208506695462718, -1.3717147203130973, -1.3734063924333992, -1.393616910308902, -1.4583143914465404, -1.514012730458159, -1.5542924127360798, -1.5373528038410516, -1.5021348954357074, -1.4246406368211986, -1.48653384061082, -1.5084967002764518, -1.4556811332747768, -1.4203490171290656, -1.4296938372270895, -1.4547489237486533, -1.4447770296291482, -1.509684337331105, -1.5034633709338925, -1.478049249411626, -1.4336352584515342, -1.431291536547178, -1.4817836145665375, -1.4562308509851212, -1.4478814326389766, -1.4880606403918981, -1.436867270893534, -1.462520081660231, -1.4590163247394201, -1.4713236854857645, -1.4479665537610724, -1.3990526538318884, -1.4160143139812988, -1.4925098580557343, -1.5312837275486437, -1.5695007624555914, -1.5211521807393336, -1.6287539719030089, -1.6863217032190476, -1.7196072545471754, -1.6805217307897353, -1.7511253150878585, -1.7038051747015053, -1.7087452098666989, -1.6689846248409113, -1.6820885383431419, -1.5959953912637113, -1.626526258481194, -1.681108969153486, -1.6468350159300436, -1.6552643985822983, -1.6643092834118645 ]
99
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Try to shift one time series by a certain number of steps and check if it looks the same as the other time series despite the scale difference. If they are lagged versions, they should look very similar in general after the shift.
Causality Analysis
Granger Causality
460
null
Weak stationarity requires the mean, variance to be constant over time. Does the following time-series exhibit weak stationarity?
[ "Yes", "No, the mean is different overtime", "No, the variance is different overtime" ]
No, the mean is different overtime
multiple_choice
null
null
33
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity" ]
For mean, check if the average value changes over time. For variance, check if the degree of variation changes over time.
Pattern Recognition
Stationarity Detection
461
[ 0.7181824077591668, 0.4718203575724629, 0.4263018590826829, 0.4640368489452457, 0.5704423655319532, 0.6220208924638922, 0.3854025308534067, 0.5010838690326485, 0.5564044541831766, 0.3990808368489883, 0.5718984170756217, 0.5922683978414958, 0.6393721321211544, 0.5161912723394625, 0.5870182927947732, 0.589042968737266, 0.6655384090707879, 0.5830246933087146, 0.41787937509192424, 0.42368864057187927, 0.4567155336805361, 0.3561571783203782, 0.4103772133396965, 0.7865375588412664, 0.48528388415515716, 0.2597481005324978, 0.5116211361073912, 0.502222045367446, 0.578111311111409, 0.589558169213868, 0.625444765992211, 0.32246985155205804, 0.5591597954461744, 0.48786689651675136, 0.40721045960644503, 0.4250526367693973, 0.5173795144353402, 0.6290406976848312, 0.612293646192118, 0.5920525343763647, 0.5444835772972574, 0.5812357106130484, 0.5027406325070337, 0.6832368384363108, 0.6837929590961858, 0.6107338126586881, 0.3768239229789006, 0.3991012015412594, 0.5868404517909163, 0.4423093621899618, 0.5367809189696208, 0.4344195121069053, 0.5275219897367226, 0.42433504954527845, 0.49855711938542835, 0.5240472540846861, 0.4965167065631245, 0.4038250367151456, 0.5445080362880979, 0.45533998792412295, 0.5466422467298215, 0.43556571931855126, 0.5782602590568802, 0.525832419502542, 0.5577477240106816, 0.5166381754250454, 0.5219420201812037, 0.5330438993154748, 0.5500215012454511, 0.5979274683818689, 0.5353435278940439, 0.3901888805598928, 0.5251769434670532, 0.6001600434277536, 0.3192459217132314, 0.24575480864344762, 0.32741409368259833, 0.5332191807489803, 0.5751824279019148, 0.5476579722337797, 0.4511826402026161, 0.6897256645541401, 0.46343161438291497, 0.3888800906038842, 0.4796764724268061, 0.5419699176117857, 0.6004006519000392, 0.4531257526232312, 0.41370818574398377, 0.5252816382038399, 0.6191634222902368, 0.5386747926470443, 0.6191444625967029, 0.5392690966896732, 0.3446983293323108, 0.5557373869430621, 0.5608057391344138, 0.5789388076321413, 0.5206334658344667, 0.43136912230882635, 0.3489556627175396, 0.48237532008239625, 0.6727963439776121, 0.5103780687555112, 0.5008399168587835, 0.45468549357609034, 0.5683238755006582, 0.576531123608437, 0.5535064236150489, 0.5438480194665948, 0.5479903250991427, 0.6062909503357848, 0.6521033694378429, 0.5718855735005605, 0.31909514966372976, 0.5514261112101563, 0.7790572568854719, 0.6189603184599642, 0.47903389095703575, 0.6273065117653209, 0.5458938790042113, 0.5247141102511196, 0.6643181460608694, 0.5684585830997283, 0.5585740708849464, 0.5777177343184025, 0.36232037297599473, 0.2821313094918654, 0.661594792788533, 0.668650900655035, 0.6242817173182623, 0.3336192912031513, 0.6263235606657335, 0.550183485036833, 0.4459454506644615, 0.6110789341260094, 0.47800260189639576, 0.741746177138852, 0.5953200733099799, 0.46879266384437934, 0.3944960896689366, 0.40131411465729927, 0.5090582402086468, 0.5885890693547349, 0.418094237159712, 0.36407124359138254, 0.4850063018976265, 0.5066561902926225, 0.6257567898566669, 0.4109278291585006, 0.6867776514588901, 0.4700101626265467, 0.5263369674354197, 0.4743504601064542, 0.461758040683762, 0.5032111855196504, 0.5934049812094314, 0.5205098350118618, 0.5151193681862941, 0.7003740279016116, 0.3537166861723957, 0.45957202185170565, 0.5400947993686577, 0.42213799129922264, 0.43043040849672065, 0.5546981181484245, 0.5729245767706086, 0.5052862252760096, 0.38610763572759976, 0.6220904610546243, 0.29294922948249646, 0.6290853024425651, 0.46443905359909776, 0.7019913858242712, 0.5623685750030524, 0.5922799598345981, 0.5256096033742536, 0.4565476873503584, 0.7289430427922471, 0.5595559006047149, 0.5080404692916536, 0.4403025191803587, 0.5993146217505172, 0.47242033480824364, 0.539188866055236, 0.5216676996026091, 0.47662321154030385, 0.3464060341012003, 0.3727166069026482, 0.5706965733780898, 0.5055698939464918, 0.534372781682567, 0.5122941709014922, 0.687939341060011, 0.3110181798107995, 0.5249860115800964, 0.4971115302003155, 0.48793268278706203, 0.5877834679376588, 0.5904742616016974, 0.3804252097997548, 0.5574523119519177, 0.43536406355212903, 0.7288502448862477, 0.37550446795557535, 0.545275578477157, 0.5215420125688378, 0.3892161177020095, 0.6218857086578757, 0.32573100786031084, 0.4717289201170518, 0.7054276906881908, 0.5168795020326941, 0.6085691245570668, 0.5549208351642676, 0.6613494495387566, 0.34912761356346417, 0.6372212193458382, 0.5626613949597096, 0.4616011870381217, 0.3679516139645504, 0.26775054961508316, 0.6290881897400409, 0.5009807599669794, 0.3948371347387528, 0.49263895986541306, 0.42039955327656126, 0.6668444620804161, 0.5156229717311415, 0.39756461269803534, 0.4042226424348603, 0.3595788902795044, 0.5210265121042805, 0.6412916346277188, 0.5232367365390095, 0.3594536091107369, 0.6258838492398492, 0.5829217896447889, 0.5993513068375316, 0.6087995705701763, 0.6113958414197722, 0.2519476826597105, 0.43639715259568845, 0.5758402358987302, 0.5616429267149436, 0.5499638414418904, 0.5102014546738416, 0.5475899622343133, 0.5357301346225247, 0.5301718906766426, 0.5652124352782495, 0.29714440526447, 0.5026766298362777, 0.47621696731124086, 0.4559210359765228, 0.5436523921794832, 0.4307193663692955, 0.6137134006071746, 0.4912393778910834, 0.44257708238065085, 0.5551125772145327, 0.5527953520909809, 0.5403423869776185, 0.4198825287081559, 0.5427175121589053, 0.580313819608228, 0.5217783959923477, 0.46933571252593737, 0.29204540158929126, 0.5065798953276176, 0.5305553152327475, 0.43170011702034095, 0.43257204783305786, 0.5341771090925835, 0.38088294498241704, 0.4073042517788261, 0.6365467823913326, 0.425178349225183, 0.3584250933983644, 0.40878544915650666, 0.6172762117951516, 0.5389308785695295, 0.3707809554276579, 0.33289915557763505, 0.670865819630092, 0.5932239872869196, 0.5772977117099121, 0.6181157827311689, 0.620649186798998, 0.5891419233812419, 0.4763902614627363, 0.7467735917357649, 0.6523140647079474, 0.578054313901871, 0.5342772987942649, 0.4686500326935683, 0.572378760840462, 0.6182442349994586, 0.475277556775221, 0.38230878433141796, 0.3915757615533427, 0.5451474934435514, 0.5631333339765432, 0.3396312771847776, 0.5816629414584892, 0.4659493726972155, 0.5222953089772476, 0.5277845878808006, 0.5086716309755192, 0.5953634573010371, 0.49302547534822194, 0.3668848013077809, 0.41158144063046503, 0.6737178947836469, 0.36249641625335116, 0.5413433419110691, 0.35094819537672994, 0.5342428988981459, 0.6433353164866633, 0.45809711929624386, 0.6099756934713163, 0.5847665267297337, 0.4360794868534185, 0.6226296871291436, 0.5232898926113599, 0.6010782709271254, 0.4882098259609039, 0.537755639703373, 0.5462340493549979, 0.41635603062865134, 0.6012781684317383, 0.7004986107302105, 0.5579665017036811, 0.644071439346451, 0.4951408975733726, 0.296995405820283, 0.4335816154168603, 0.5841309594154687, 0.5571151305879967, 0.44443960326393855, 0.5891676982550145, 0.46669354987268524, 0.34144472312005236, 0.4197775178237162, 0.5607096359777424, 0.6603346383461673, 0.355002074839854, 0.5772720264643377, 0.3533123202771988, 0.5949637668449916, 0.4246801765752214, 0.5960703166445255, 0.3649452320179387, 0.5178899138024066, 0.4270435505683028, 0.5864812707958611, 0.5007973226913759, 0.48361222409817606, 0.43809168576837737, 0.38335532563089003, 0.6506544511869904, 0.5122946819902889, 0.6061612223977421, 0.475244039099767, 0.464336969040951, 0.49762052840585885, 0.5726025028973329, 0.3196767826333019, 0.6052568300681732, 0.5766201826664796, 0.5106619014669941, 0.6861628945770515, 0.5941827410642883, 0.5494233199074354, 0.6053964080594326, 0.4726244710669096, 0.3451647426615675, 0.623915393412809, 0.5826508400563246, 0.5696496606254685, 0.4047423372850212, 0.5548530326398007, 0.4404831875909022, 0.622512691871361, 0.4407439110511492, 0.528532387668112, 0.6305132269629363, 0.4310056725271343, 0.5691967944702137, 0.4428245078751125, 0.4455020950533538, 0.6516189312421646, 0.5411287152994656, 0.3646324890075259, 0.3721664208498786, 0.49990531131826976, 0.45013550820890214, 0.6935754981142715, 0.4445707015232364, 0.49665438486325925, 0.40424205820440884, 0.5718206279242428, 0.5259749770781936, 0.4437189693016818, 0.5310117429276133, 0.5936133672784711, 0.44751667689356844, 0.5708914032921985, 0.39239090512958824, 0.6359167818816968, 0.5966484730276448, 0.5245925998080939, 0.3643364433565952, 0.7482112051877721, 0.4597606993485397, 0.5663548082958055, 0.3441659794424776, 0.4138102821498096, 0.5731450062703671, 0.35309618972389417, 0.4909589166578674, 0.3300953590404102, 0.5754355550906457, 0.45570689009293425, 0.6140717090051341, 0.5607765295026915, 0.43960452511797893, 0.5604888955623097, 0.3537787597151577, 0.3010367551586301, 0.40536799324268236, 0.5964405645421363, 0.5736612802944671, 0.42164964971397906, 0.5111037692008814, 0.5455641107933804, 0.47906839501471016, 0.46761771389566587, 0.6379693755399448, 0.31577590102843345, 0.5991489287290286, 0.6324333593359601, 0.4914663131806025, 0.6791577955402646, 0.677386129932387, 0.5744042598498995, 0.29943335662840165, 0.6422634239918106, 0.48349324786762105, 0.5644426146580899, 0.6207977172748687, 0.5414306499040379, 0.6141585404138549, 0.6055114142628528, 0.5623270210906313, 0.4558927068616618, 0.2717192970302583, 0.4950254188194356, 0.522483998554083, 0.5219911959933659, 0.23625235554439672, 0.5056325182937694, 0.7214506430473426, 0.5542252803070096, 0.4867522163713026, 0.41713981139715217, 0.5719157935881847, 0.6902600054770267, 0.6447503825332739, 0.23619410077836794, 0.3384113834614073, 0.49069852100266287, 0.6253374606338439, 0.5754773932104555, 0.4876902537095245, 0.516281603406593, 0.7292546815398488, 0.4604633329750454, 0.4591704507587076, 0.4538326544910731, 0.44052231561700733, 0.6271711982376158, 0.6613023983484625, 0.41637918746654545, 0.4635211999099269, 0.6633790925193267, 0.6782745703694, 0.5509842379276501, 0.4767099637003377, 0.6851868409668899, 0.4120761650557074, 0.3999531315758609, 0.480577791656001, 0.5366115855101224, 0.5939042968395305, 0.6496877142850959, 0.5150181428901609, 0.4704760700199051, 0.529345776688214, 0.6871911464996472, 0.5551373602809981, 0.48759262429468064, 0.43348649076459234, 0.5118320800590191, 0.43288835908086404, 0.5572466548315198, 0.5708155845006639, 0.3757094701487331, 0.579609796081803, 0.6327163210282449, 0.3146712563771434, 0.3251068351295891, -6.572087290388601, -6.663478400056804, -6.651610979488631, -6.737467754587922, -6.6009232997072935, -6.7689282425906505, -6.507605866973844, -6.643893315109656, -6.603929351841662, -6.622755258354043, -6.685228680681378, -6.6501478189359045, -6.609220494489664, -6.830868026662944, -6.478641338492084, -6.530305553212837, -6.589682034211585, -6.60467335622757, -6.655471411599702, -6.654150495391191, -6.530105740715784, -6.585769177289811, -6.623190510797455, -6.684949658222962, -6.720175454938316, -6.674795080205157, -6.6122201780096, -6.658500321805522, -6.670426999094752, -6.93822457914704, -6.42817007585417, -6.6430107921464705, -6.730308240204477, -6.684199316970792, -6.612334739047103, -6.737555084901981, -6.649697143754641, -6.560882874346005, -6.706123248569942, -6.681821865669558, -6.498630344092373, -6.741681081157937, -6.68440994635645, -6.6744121517368535, -6.719652423552516, -6.564624990145047, -6.54636963624493, -6.478990800043278, -6.504305702050921, -6.812425971008796, -6.855760376326147, -6.7873835919827386, -6.659210345737856, -6.484578349244398, -6.603285966157842, -6.892164416899183, -6.553406679321858, -6.711179672219684, -6.6217593989575505, -6.682176487529542, -6.687064405744447, -6.480169294477203, -6.567701237371723, -6.6426190683907445, -6.647471498995972, -6.676961167018554, -6.572530525446364, -6.479289135820603, -6.644516457954668, -6.714574172661819, -6.627293888980629, -6.456046085086354, -6.687526353409363, -6.610570808517865, -6.678773835002177, -6.672419746479117, -6.64523215663498, -6.583767182243653, -6.61714403057112, -6.767980779792103, -6.603953286661679, -6.4879400151187605, -6.5832398145239654, -6.433159909201117, -6.586565551989532, -6.841338085278707, -6.683841005868617, -6.690301482234969, -6.732666526713199, -6.774968144382387, -6.566923137877926, -6.516913161406618, -6.470099507485345, -6.773906442556764, -6.584738505127531, -6.610021906402356, -6.772779185402498, -6.6474658008209095, -6.585216702603901, -6.7811042582026175, -6.686276166578191, -6.455169914739173, -6.738369770796703, -6.675890354410681, -6.635923863053835, -6.681385992106137, -6.475938189967835, -6.290983319138172, -6.729106422457458, -6.581755959985855, -6.719597211549814, -6.83380605369456, -6.64203953028836, -6.648800927180312, -6.703067180449033, -6.659673910149758, -6.681589971759311, -6.5898351895259974, -6.607328404292731, -6.659522924449767, -6.595218859690919, -6.664811283597391, -6.7023280156848575, -6.633156973216837, -6.589735724813717, -6.651792365362847, -6.593984660717286, -6.623531176409392, -6.751462506424311, -6.621833999329519, -6.683453066025672, -6.599958827213309, -6.648971464092483, -6.697384954336467, -6.726328260243646, -6.519514565340736, -6.754419429467409, -6.651020059309832, -6.442080991341115, -6.5778658053177566, -6.813858699522383, -6.863989648993329, -6.619427409641779, -6.593583189580081, -6.566997946860791, -6.491089796132557, -6.798117728863602, -6.5692354722179935, -6.518183991573319, -6.664588397141693, -6.675500426179423, -6.716820464469719, -6.524307231087267, -6.659658601034854, -6.577373512330505, -6.611904465501615, -6.597497239807706, -6.690599620515012, -6.830461903770199, -6.7114403787499315, -6.4149593299075915, -6.547320578769417, -6.512797550995967, -6.611067111750923, -6.614111256737438, -6.669643430322392, -6.620078083963689, -6.702173528645771, -6.585468680540888, -6.627352159815989, -6.426561728555878, -6.543538091750117, -6.474694484156882, -6.481538662053379, -6.643782344557432, -6.632540967821671, -6.669057995804502, -6.7239731009760595, -6.538551281246625, -6.573733188882018, -6.615872536210034, -6.546683112969724, -6.5055067910865825, -6.644544084289223, -6.7533871197496165, -6.429338281619071, -6.682201191680068, -6.615417891203988, -6.569381873464154, -6.4828264808955725, -6.689227434942427, -6.670064032273968, -6.517653125427125, -6.73372458553676, -6.8949470724573665, -6.58703041157047, -6.692796316422675, -6.473321271805874, -6.53736397402059, -6.63489513394102, -6.5843695877630575, -6.686726023322121, -6.562717006930683, -6.754086375404773, -6.554131453444176, -6.627581707172392, -6.577001430969797, -6.650435041918751, -6.653867548846085, -6.788699356203143, -6.49037622703097, -6.322494954959553, -6.6443525270680075, -6.533805963162772, -6.528368951478481, -6.635208092677312, -6.629994734929953, -6.530640753253135, -6.823837422692197, -6.739298791705257, -6.743026387577902, -6.689172708634699, -6.44806480564613, -6.593318254590276, -6.7820962384299905, -6.5813570625741535, -6.625224056405271, -6.673195990804833, -6.5334734709852835, -6.7134376780407115, -6.649086304406189, -6.670195854439824, -6.581832850115467, -6.690446466902228, -6.767890944948, -6.576092101975428, -6.673784374123529, -6.709711843034125, -6.871775906955148, -6.75843941814253, -6.645364346132927, -6.620396561030211, -6.520047712892278, -6.518717914479076, -6.754372939165861, -6.749154881716133, -6.506939908296425, -6.4885298020471165, -6.544320155918407, -6.495596505314254, -6.654727803939792, -6.762268630459735, -6.558297004548001, -6.740759606513939, -6.611805128228836, -6.468108343839508, -6.6021331756636945, -6.606650119329429, -6.569973818020661, -6.525727702578458, -6.66712215844224, -6.811603606429724, -6.664340320429461, -6.576542778657907, -6.536152224256437, -6.589512689683961, -6.6349722593871565, -6.590919890443014, -6.663054823500744, -6.595759393360765, -6.504927674866207, -6.596547829315725, -6.71263114022828, -6.576012258616633, -6.755071821939743, -6.572071495584258, -6.4974648894108755, -6.500007563647315, -6.755058859973857, -6.551477458558971, -6.773865623506659, -6.610906319656984, -6.667174092171034, -6.727356257012662, -6.603404546931911, -6.736937199324517, -6.5485522566753165, -6.51888725073846, -6.487755751526598, -6.450327607965583, -6.588119560523463, -6.615352102035998, -6.616213142885219, -6.584037205785021, -6.427542724837969, -6.701679874590036, -6.685825959774731, -6.513765223224226, -6.667406447139059, -6.543619236789467, -6.6254441161453475, -6.507501105417924, -6.619876447335416, -6.533299177045237, -6.692467539219986, -6.48494174462674, -6.791134492415441, -6.523904385989323, -6.764308017418488, -6.6565127248663565, -6.707082152036158, -6.798803106966551, -6.807472412243805, -6.898868650408729, -6.667054236119819, -6.63589797925447, -6.629722943721812, -6.56113238891059, -6.733358942172255, -6.625471228751504, -6.465397484144296, -6.534747443118003, -6.542406686685107, -6.784238896872642, -6.623752350962232, -6.766430089221535, -6.676643733532024, -6.7285325679605155, -6.537053560576165, -6.478529334738949, -6.6169761205277995, -6.616535774147572, -6.562571118721291, -6.603303686292855, -6.566399023549501, -6.574263356579866, -6.551214075856972, -6.471392462429432, -6.809567992464863, -6.632419051092293, -6.650633960418864, -6.583562078374273, -6.720444936896729, -6.5528583668042515, -6.623253657416539, -6.672412809175258, -6.645032225021556, -6.620253203855303, -6.728927861565812, -6.819615174441462, -6.583029120159508, -6.625400169613857, -6.418552548101372, -6.60142726669547, -6.781614261220636, -6.46038822739633, -6.758655636641256, -6.699194576245903, -6.818173161877588, -6.525752957755031, -6.5858068171163735, -6.676866452981309, -6.810186374426679, -6.657777635498897, -6.665836348188368, -6.642790396838877, -6.435846413496921, -6.683792496809381, -6.595457714804911, -6.6803645896943555, -6.675065794785149, -6.649884890862041, -6.501378959032592, -6.390082898220677, -6.802151644207305, -6.579015645738952, -6.452504290618408, -6.506823992384878, -6.433453095632796, -6.685106492759013, -6.644449163218753, -6.5823598040433176, -6.790587725907002, -6.696455899749555, -6.71399865617993, -6.612229193019085, -6.727216264329256, -6.628101006108267, -6.628222392195712, -6.681989824663438, -6.686278618504722, -6.6292552029305005, -6.644775560141088, -6.79693031370801, -6.541155267634982, -6.469141074608666, -6.657684866182002, -6.646668062863991, -6.538125322936881, -6.6594309211089575, -6.6878101766513725, -6.635814377054242, -6.685259271433935, -6.722752132571651, -6.672485051198984, -6.45337373432962, -6.629194874776272, -6.688732299780464, -6.478819181486366, -6.805988536840314, -6.3796116277635715, -6.714101155570352, -6.547022250241155, -6.722671746879005, -6.667004178739541, -6.610020022897033, -6.454080527793514, -6.763341004015806, -6.611472554980117, -6.541918326782641, -6.659501037241046, -6.564805520685094, -6.776357950012615, -6.614627276301852, -6.4943208401805474, -6.757616315171441, -6.695616887891395, -6.887046144438463, -6.670696776785192, -6.850909622866145, -6.73788524158405, -6.5633001718775565, -6.7952486676111254, -6.58348970965409, -6.568490026724755, -6.697888410488194, -6.7214492391214025, -6.739592497068452, -6.743111257127536, -6.575078478568633, -6.758054209937369, -6.612416395288952, -6.835749562812366, -6.635799849167361, -6.4932695870506265, -6.574756152371795, -6.670351411223678, -6.70363740312535, -6.786790222885202, -6.551664444322286, -6.524371075850326, -6.594395863639854, -6.5955590100689525, -6.840084910678651, -6.557932529607519, -6.674533220349148, -6.656765610166842, -6.5701664818519285, -6.777023662365499, -6.698241921856747, -6.677698508934278, -6.755022477429774, -6.617359926991068, -6.734314942133824, -6.5252557540605896, -6.7146960780305385, -6.758380839690705, -6.592259951181533, -6.718850786863825, -6.643752152512172, -6.628531312322278, -6.691604815553137, -6.751793119638771, -6.62438611799943, -6.758204741470127, -6.60407089612274, -6.517097112081411, -6.4714192610344226, -6.611047263612948, -6.664395262787057, -6.707176526581973, -6.599868209778625, -6.70893751042016, -6.63458755068424, -6.497507899211598, -6.5646410183735755, -6.467590674003346, -6.471384970295263, -6.4804569759695365, -6.650310805387865, -6.584989041790994, -6.602466670652053, -6.625013411276717, -6.7985369354578555, -6.49710481970515, -6.780428963361918, -6.577518261060853, -6.595515655080877, -6.651762708049925, -6.76925865379946, -6.572937540413904, -6.616884343790635, -6.564781910951736, -6.5536430044765135, -6.700869538803215, -6.840293662805759, -6.523798891088068, -6.546921444028496, -6.680856374390031, -6.5153432888947, -6.673458485188596, -6.649635699644936 ]
Are the two time series flipped versions of each other despite noise?
[ "Yes, they are flipped versions", "No, they are not flipped versions" ]
No, they are not flipped versions
binary
[ -0.13243175694752538, 0.014274659184372956, 0.4816442391957479, 0.893630490094579, 0.9377359380463349, 1.0299222319297077, 1.395122963927712, 1.3748524039821122, 1.3624828312991757, 1.5191216775606522, 1.5773975856270712, 1.71426205673695, 1.6256810090516958, 1.4492201074955675, 1.3483450658845773, 1.365420168779757, 1.2536523273240012, 1.0523023667396576, 0.9287012648822208, 0.4773150586161157, 0.44242461625394913, 0.17929315202648055, -0.05325461900731891, -0.447551517348442, -0.5755278901336564, -0.6620854153237842, -1.0344324701259744, -0.9035950620352873, -1.2064148140092623, -1.2545915197694932, -1.565756621744874, -1.6840084998864138, -1.41435573126248, -1.6833952808923554, -1.6434409865653066, -1.7363997064018348, -1.6389603318131, -1.332608060751163, -1.2185051001265945, -1.079704860480379, -0.7667165402189903, -0.5240100787618097, -0.2984738342173191, -0.1657640743843783, -0.0302608465741505, 0.3003898769819273, 0.5836021918131004, 0.7704514472188646, 0.9156509185302614, 1.0600930934976385, 1.1813192031641129, 1.4652312245131005, 1.6220338700849766, 1.4436024397609595, 1.6827832874634565, 1.534774089804549, 1.7460884161141674, 1.4676224943737466, 1.4945305435091492, 1.1922891998384264, 1.1843874699025498, 0.8737674115538944, 0.7971357284557423, 0.5704140119814383, 0.4183147935666388, 0.15730224070072704, -0.10772260308888534, -0.4186645637790603, -0.7120325627331339, -0.8770222947237508, -1.0241589298420224, -1.2102899046481563, -1.1507887738801874, -1.357276175998491, -1.7528360737028306, -1.5470911695774023, -1.5770123479165978, -1.4795220863376952, -1.6121413639327575, -1.3761692546024404, -1.3562236390362759, -1.2542558722110715, -1.0913042397649793, -0.9792910252704936, -0.6699638294566864, -0.34391784633372313, -0.3931417634134002, -0.19113446201484036, 0.1789190471800483, 0.6216439607571419, 0.6127608785142273, 1.0743433512542044, 0.88197274040487, 1.2388735295552824, 1.2957051180928736, 1.4992422248142812, 1.5012607609907775, 1.4083870027224223, 1.7499778926804879, 1.656574883119573, 1.5765464344077604, 1.7165795506716803, 1.426796983570881, 1.2693104377785496, 1.109916414042633, 0.8247085953873778, 0.6589861429069446, 0.6204610993777135, 0.18642415685069236, 0.06588381998885695, -0.15788743461869356, -0.5069379653642306, -0.6649223752633796, -0.8773413400539126, -0.9986008150206847, -1.3596143394898546, -1.2533287171207146, -1.3614950840952684, -1.6557226728328494, -1.5468177963371021, -1.4284413071056936, -1.6208564997560608, -1.5801160546293174, -1.2982771888893665, -1.4662456192875282, -1.1906568796647443, -1.0786779331526395, -0.782792265697329, -0.6005467178894278, -0.6040165971788243, -0.27723549040462875, 0.0887944668897472, 0.1533172693057643, 0.4850351973921488, 0.7203668603390613, 1.0725612296562628, 1.0744944809182, 1.2268734249970472, 1.508243625152937, 1.5083402435460427, 1.7564247947404255, 1.7232962426732459, 1.5553848517921318, 1.5210193645239127, 1.5682178868904548, 1.5451980841785773, 1.4047739389744045, 1.0580849893467894, 1.1390888807596444, 0.8020053900435508, 0.426669168302397, 0.47232255956693847, 0.22338154102034935, -0.05089874158076556, -0.1760502669830878, -0.5255803787809438, -0.8306342246738618, -0.9587067324866174, -1.202807481213783, -1.3501733894926247, -1.3738659603877068, -1.434685082868984, -1.665536779494341, -1.596488663062972, -1.6888314408830276, -1.6579598140612082, -1.5716346954680516, -1.6471564942666956, -1.277783450364165, -1.2639215791341059, -0.9131033255739502, -0.9647242395889641, -0.6287910070748474, -0.35416105180262814, -0.23931011014998121, 0.026365041391822205, 0.417551080360404, 0.4517041393649674, 0.756406918035452, 0.9746827803676849, 1.003180805370109, 1.2779257924062861, 1.403795074359576, 1.5837478531866334, 1.691527001020039, 1.6425816558384296, 1.5026747782677965, 1.6947948897690237, 1.5284379224117517, 1.4513921372185352, 1.2335613414585092, 1.179591316694923, 1.1047035748104754, 0.7585240195446241, 0.6985936656379128, 0.40493317318028765, 0.24590026814504246, -0.07934351737684261, -0.3597509457554495, -0.7797551809863661, -0.7812709849168433, -1.2352169710237753, -1.1631819550533629, -1.2337673884688287, -1.3157276885486937, -1.5954098143906972, -1.6512069268262477, -1.4461135924574229, -1.5811610011037875, -1.5119544394374187, -1.363516480672609, -1.315683852399452, -1.3203567198506097, -1.1496905593256737, -0.9949509775632379, -0.4671491810825378, -0.4495725170834539, -0.1840731277758592, -0.09584462932914772, 0.1648123901862094, 0.5679180660143284, 0.5463268336329464, 0.7642442731953337, 1.0339629227385714, 1.0965233653576765, 1.2597112134185007, 1.4767788271255835, 1.4875854711254308, 1.6623348419160322, 1.5439947376080887, 1.7674660396901898, 1.8463032351174842, 1.5594628493369578, 1.5183007545324636, 1.0350956348424942, 0.9668344438552329, 1.0139590955850675, 0.701388858913868, 0.44390980401690333, 0.25202603159158377, -0.07908831785959461, -0.18615174734697768, -0.22095542451762554, -0.5523772559317285, -0.6746184207044705, -0.9955477679923862, -1.368828951008684, -1.5026063570865016, -1.718736929684967, -1.3349649556449255, -1.6250688282149577, -1.4925797275050312, -1.6444526970818973, -1.505731992599009, -1.4542481177435567, -1.3417785914185687, -1.2846189779548078, -1.2117296087547136, -0.8206854822938016, -0.6608210850821312, -0.4788159951159441, -0.3253729006974711, -0.03046051027311063, 0.40330099562657207, 0.4213589978162337, 0.8892172428235308, 0.6073859085094973, 0.9726616311436843, 1.339224052559243, 1.3731879413038417, 1.3558442550874126, 1.6282338078677216, 1.641526007602733, 1.6145250221951455, 1.4499999730577644, 1.4963839240747734, 1.2795931605525086, 1.2548813200882512, 1.2004156257586784, 1.2118858185097139, 0.822314250284859, 0.6523548169490136, 0.24610422292911852, 0.18164611014918738, 0.06868560693214584, -0.4013447950007644, -0.5580442966303751, -0.574876162526542, -1.0779826967237616, -1.0620992302090622, -1.2776053332585544, -1.4760155009018077, -1.4801336229379534, -1.5201428792438414, -1.6179454727456462, -1.4547399329220352, -1.6704867229474514, -1.6303553961359813, -1.362032374128682, -1.2635609270553476, -1.1749710490238836, -0.964554782156051, -0.6313090580733562, -0.5494030647242949, -0.2686190550944421, -0.2667192023266566, 0.3973674449217559, 0.16431003694704036, 0.6287134425324127, 0.6949809785477409, 1.0426912487750652, 1.0326551540888453, 1.1857167235977828, 1.342141667280361, 1.5900375868300525, 1.616119167690657, 1.6737482891725277, 1.5020556918842511, 1.623526131696495, 1.606107080474004, 1.1969071543672984, 1.2532249016709103, 1.1982038511892636, 1.0567495862838912, 1.067516081048865, 0.5616187742992078, 0.24516734831767617, 0.06128264009592048, -0.2425149068338816, -0.30740364238199624, -0.6080100943768005, -0.8391136051176967, -0.9392956190505823, -1.2007424550715424, -1.3508248087388695, -1.373714500494045, -1.4761716699450833, -1.562749635615847, -1.4931297025473076, -1.6851815953024096, -1.471417672789583, -1.231645139372409, -1.3839979385747807, -1.272065579660579, -0.9965391149199967, -0.9321320567306466, -0.8200217213813632, -0.7649050312480538, -0.4006390425387711, -0.09082621816179329, 0.09861634390449825, 0.5359032472078128, 0.6462900580880468, 0.7611015271220141, 0.981702425526876, 1.2371554212213225, 1.1996002879895893, 1.4327579739003795, 1.3788251134105514, 1.8425795461410521, 1.6570968532945607, 1.5778963036551745, 1.5455624444243268, 1.5207835349226981, 1.5111091710964968, 1.10767649875802, 1.200600713588677, 0.940976355902369, 0.609360138854769, 0.4879805855107413, 0.1763419270632102, -0.022565843869854572, -0.2363101639078027, -0.2739948900632439, -0.6810760294326195, -0.8508899450819027, -0.9444094468853501, -1.2466147087197128, -1.114694579082263, -1.4530185940355944, -1.50154398108854, -1.6513190652722922, -1.650913843933678, -1.4973872893150977, -1.4245735987506796, -1.6767029485866711, -1.3609831757260855, -1.2783347723748055, -1.062455077012176, -0.8650710627955429, -0.7657318971435949, -0.3892243601691827, -0.2373850775784474, 0.06416494915665198, 0.2120836935269261, 0.706066319198221, 0.6957833729890102, 0.9523890691587339, 1.1223982584451886, 1.252361449131279, 1.4250807353491302, 1.526783188667828, 1.4242091695272532, 1.6025794370270159, 1.768636913152403, 1.7676898293650154, 1.4550607883151214, 1.569311036417865, 1.379275042814022, 1.1040078061998992, 1.0219641751482234, 0.6862406287142571, 0.5814688190847676, 0.49090545670098923, 0.07602973512222903, -0.3220202707898574, -0.43668334317573093, -0.5734417597838903, -0.6233450106581928, -0.9673502326412734, -1.142838265825138, -1.2648917620790179, -1.280032561568426, -1.3828543504086082, -1.705819798900927, -1.4873620352834966, -1.7836619019643656, -1.6400601097992806, -1.6214971190223881, -1.4010366190663264, -1.4336170777837043, -1.1453271453364697, -0.8458386013477399, -0.7787178566950717, -0.4859030586553108, -0.3906240855982758, -0.21512226000411214, 0.1355113382381297, 0.4057198500855586, 0.7075739266996073, 0.7756979803510139, 1.1003558032248983, 1.0094580414604393, 1.244356474315214, 1.4637253470684042, 1.4564648556811988, 1.630834748171249, 1.5078311242590847, 1.561991039570288, 1.5727712806318628, 1.5916821947852102, 1.4566683615844667, 1.284451890067093, 1.0501202481185163, 0.9242265293595971, 0.7118380737847032, 0.3846539144197382, 0.4961314369817877, 0.20830683168478936, -0.2704302907828928, -0.3781563944595606, -0.6443602048702525, -0.8104472841395853, -0.9573950096085351, -1.1924727735468335, -1.1320383770743896, -1.384874459145735, -1.5157414865781575, -1.6395820720986611, -1.6188427886717938, -1.382971727256013, -1.514206485981877, -1.4469772523739084, -1.3987459517866312, -1.208645764882813, -1.003071513623439, -0.8475238914175975, -0.8092684274748602, -0.3674368329619903, -0.30712852824874187, -0.016634280790873538, 0.25074314144813353, 0.4698643622347599, 0.4662242795519344, 0.9756298740642106, 1.0215162620127307, 1.2335479811507768, 1.2504530527775388, 1.4575823112525317, 1.4851953165283658, 1.5880072695873153, 1.4663978942464104, 1.710502027686737, 1.7424681459493256, 1.5702915363095546, 1.3910672473586885, 1.1640447510748801, 0.8734154208072866, 1.0215710219875167, 0.6953580996484668, 0.3635929678561687, 0.20940334837195565, -0.11610578058678611, -0.35290027669397916, -0.45590875379123147, -0.764276048260275, -0.8965472876758892, -1.1298950132677865, -1.3023544533165483, -1.4576282721906755, -1.3896710993121082, -1.5560471807583562, -1.694091709303741, -1.6360860790536604, -1.5227650588375055, -1.56383059432366, -1.3517552912519184, -1.33108398595805, -1.1495911309366145, -1.0527098023200312, -0.6934451606801415, -0.4736225290707906, -0.3990694205323909, -0.2017373134299381, 0.06133790026943082, 0.27236749639505825, 0.5347999272984378, 0.5822381116517585, 0.9866391038318717, 1.060250967026073, 1.2988139119289066, 1.3346169669615837, 1.4302239199246465, 1.6145521138578594, 1.5111282928141683, 1.5450005599806762, 1.551055435828484, 1.6075280950897308, 1.3511294160249656, 1.3370661446095684, 0.9666474465197936, 0.9256108394252369, 0.7661556977922945, 0.7962801441990244, 0.2535709663747866, 0.2167383119642565, -0.24764877368610905, -0.2878416146022934, -0.5865003847923442, -0.9121894091586753, -0.8323553452784188, -1.0792223349470065, -1.329025029457183, -1.2898598693753676, -1.541614252124777, -1.6325373664623515, -1.5072278456601182, -1.5501047641602665, -1.6925147634001125, -1.4896876397687218, -1.4184075405369085, -1.14240834842277, -1.1565926901263277, -1.0273362122551357, -0.6951019277027798, -0.4351952075164739, -0.36666250312751514, -0.031222627312870427, 0.14245569938472413, 0.2264692876405497, 0.691912983113464, 0.7457776266110775, 0.8939078242439717, 1.1530301049247416, 1.2689601496254432, 1.373977536154504, 1.4405649823403408, 1.5343244503871387, 1.7188507065822929, 1.4480242017295086, 1.4132009521102167, 1.5477776624265809, 1.4389103961081997, 1.219269314381009, 1.1590150008310003, 1.0866273596789255, 0.8168662717788583, 0.48775479437788427, 0.13609108032392725, 0.14103361718682067, -0.13257785889337975, -0.5395034144353608, -0.29314711245277947, -0.7251391679443479, -1.07015178282516, -1.1554157245309942, -1.2910471372038548, -1.4454896837875402, -1.6868038589694527, -1.617927188365766, -1.6992533854766567, -1.6316099158541872, -1.7425356325845296, -1.4200396776823399, -1.235657402373935, -1.2462286281750916, -0.9213373902975251, -0.8211988099465924, -0.7023740883520713, -0.5576123239560937, -0.4035636772050646, -0.04696427880550967, 0.32816112429316885, 0.5963852535577469, 0.6466040929332394, 0.7975062592865314, 0.9058683851011095, 1.2743934293413797, 1.3628618617566124, 1.4034651454125484, 1.575421890825494, 1.6115971049993376, 1.7010652861798496, 1.7248996812318866, 1.3407064987412605, 1.5465752370362966, 1.3266062026763212, 1.089411469294028, 0.9170316126532955, 0.8304963522056868, 0.6748645757164968, 0.38723573263198696, 0.1333690630139025, -0.13613082655456943, -0.2072218994477249, -0.355651376117638, -0.6022729179004523, -0.8730498288705728, -1.088651201892096, -1.2652016596999562, -1.4518130150675972, -1.5361759090897935, -1.6228088449340152, -1.4981050644167495, -1.712576184825025, -1.6312158974250581, -1.3892528031279379, -1.4442408173945382, -1.3583722799850309, -1.1173570493052694, -0.9269162888558203, -0.8284016636142213, -0.6466890034940483, -0.4305177789502027, -0.2565186218032628, 0.06042639314536957, 0.2992090934824416, 0.3402588914513146, 0.7020447687522303, 0.8966784191807033, 1.0558919423407722, 1.2430138215803543, 1.3761179388173845, 1.4823107538819176, 1.6952741153724642, 1.5255521357470934, 1.6111961265950567, 1.4851754964244457, 1.6028572922745885, 1.4640417942526516, 1.2783421725538253, 1.0630532191480966, 0.9039687853826833, 0.8048232366725963, 0.5118268424698792, 0.17970173699671568, 0.20451745626938655, -0.004831304557528615, -0.4763704981078509, -0.7385050532772628, -0.6099589190142333, -0.7822475837544468, -1.1743881557984346, -1.2241378308994355, -1.434712594081839, -1.6051912202280914, -1.55721230172789, -1.641070216557532, -1.643089361668637, -1.3590649692759857, -1.407674953543523, -1.270722157218037, -1.0781907998207023, -0.9164931588610488, -0.9187835978360616, -0.6523472609462813, -0.5199957038085721, -0.3487962626217174, 0.04274159779426588, 0.1289702649147941, 0.478048471306668, 0.6900750108413102, 0.797432183793303, 0.9003852634983747, 1.3423637277504186, 1.2365267516207994, 1.4638563644279272, 1.5509485728405432, 1.540636148279452, 1.594566927024067, 1.5027840713604652, 1.6659429816650246, 1.4767155468332973, 1.3840929399559496, 1.1637904370503336, 1.050669245738586, 0.7451515039829191, 0.685748042219115, 0.5254293121174436, 0.25974966541548694, 0.212082516068719, -0.3608476842514029, -0.4486977091529278, -0.7125645378810701, -0.9450077878640046, -1.1730635770282638, -1.2009911705673884, -1.413665217155348, -1.3260938079246993, -1.3823513104648466, -1.6886302319172284, -1.6139918178730173, -1.4863203778439829, -1.5525305749465053, -1.313381318632183, -1.2051286512975252, -1.4013702910036343, -0.933600164678057, -0.9755863818845953, -0.5909050369621103, -0.3764839264138147, -0.23825937630264818, 0.16387220668174649, 0.15116764106754746, 0.427727430741762, 0.5931216094404058, 0.7783807785445844, 0.9586314459687948, 1.2982932106713057, 1.3466285498974913, 1.3796884190709728, 1.5212248723810549, 1.5695847528157585, 1.7318778258671705, 1.5038149530306535, 1.3161479931330893, 1.400010980833921, 1.4476928543187508, 1.286607515078472, 0.9242836051600298, 0.8473911959851541, 0.667074514205751, 0.32985636744085467, 0.21985838529885138, -0.051538481497266135, -0.3698545340044557, -0.4899157730675509, -0.6833874305293531, -0.9309358196487777, -1.2140690195781703, -1.120888341083106, -1.3272005059466965, -1.5257992895965586, -1.4299497660331362, -1.7498309892525687, -1.4234723514840313, -1.6067387178929842, -1.5892852601257306, -1.5278518328649064, -1.2255079664659756, -1.169390023386858, -0.9697567264678254, -0.8149410477290631, -0.6674130262000573, -0.31792597531770456, -0.09464927625829583, 0.20696869336773444, 0.2655932941421619, 0.3980018761453799, 0.8797900536477515, 1.0641075586717517, 1.1242960032983187, 1.4380175272694549, 1.5191802799548593, 1.440492759345876, 1.7128395797749898, 1.7738175698694483, 1.544463716076141, 1.5517707856724061, 1.5806143292737798, 1.3397906829734298, 1.3618531772814755, 1.0781859957300872, 0.9498123788591042, 0.790828170725986, 0.5675852370499521, 0.4710360151716818, 0.00787697991411318, -0.1303348818797429, -0.4230276684544713, -0.6328559472917036, -0.8760622074255277, -1.0813053752815247, -1.1794481742301997, -1.2637209203642368, -1.4123140736100406, -1.3399984328597823, -1.4822228329452856, -1.7758315532528477, -1.4978676792491947, -1.5841548539303851, -1.516570855381023, -1.3896683276410067, -1.1692935846779657, -1.1853190383399304, -0.837141194386499, -0.7127570842495171, -0.46770503303858446, -0.33832336137894337, -0.18616820947497115, 0.30801722335817205, 0.4296030992133524, 0.5978697122586883, 0.9187508140629219, 1.064329803844151, 1.0573413195634012, 1.3451580599639965, 1.3907275090267555, 1.5853598936453819, 1.6336444674779298, 1.4908537089219869, 1.5710013357559773, 1.5097402573181826, 1.393407162825348, 1.46967335850227, 1.1759265815827897, 0.9087488515018332, 0.8190481344374794, 0.6203015636332778, 0.5987513887465341, 0.2686613402156013, -0.11142526311268394, -0.06906131918089745, -0.33233267167946445, -0.5803948524191497, -1.083686796821667, -1.0316165002140627, -1.0054959060728366, -1.2415143128497634, -1.573594504899703, -1.3853323215975752, -1.5678944386153297, -1.5545863182940767, -1.5826624537524647, -1.4928884354521053, -1.4277586258462698, -1.4209525060173924, -1.2455883831025527, -0.9234465485835948, -0.6795749833050472, -0.5616247363565472, -0.45294686365400305, -0.3540074767798078, 0.06775639234473661, 0.2511321185092415, 0.39279927276011894, 0.6285733012495416, 0.8144282531519849, 1.012671160436298, 1.2786932032003124, 1.2034376956401476, 1.4721587676471395, 1.651394900959927, 1.6906036551860093, 1.7018631606393557, 1.4679848837354923, 1.4575316673337158, 1.6954290124305773, 1.180913169920167, 1.4157638843871105, 0.8797823939845991, 0.8333468493521516, 0.7078181156600436, 0.3385049441686474, 0.20204815442240834, -0.16117847808982805, -0.24604652670524216, -0.5794336123326328, -0.6105577077470943, -0.9007184385725988, -1.118199261489815, -1.2724288483579127, -1.3178371415056287, -1.475769854265482, -1.5374055909004378, -1.622068201369095, -1.5700144623183692, -1.5146135643275591, -1.5090159334630537, -1.3669912243577387, -1.455325083139001, -1.3352605158027258, -0.9309613510618456, -0.8336653650547785, -0.6497630005080492, -0.35287459704832014, -0.016664419620806004, 0.05825070632283785, 0.35508391370384557, 0.48719802198808915, 0.6606106812877166, 0.9775585552721494, 0.9705535797032007, 1.1441059425077784, 1.3064890221874197, 1.4710952553225305, 1.5491776685730074, 1.65980726199095, 1.6023556055726142, 1.5428619192131376, 1.6222193416015853, 1.3018532082802896, 1.2633696839902877, 1.0930192110325265, 0.9265578758413915, 0.7002027452674845, 0.37049412721194963, 0.24959861046680884, 0.19335731470052842, 0.013974520581853417, -0.4934167407224631, -0.610463203971376, -0.9983671442254427, -0.8828176628855657, -1.2152263592650865, -1.033157620857814, -1.269638868615205, -1.5722851572272136, -1.4267162835974057, -1.5760341723267084, -1.692932095273577, -1.5130537223849105, -1.4896112834173079, -1.4825145852224761, -1.2457652405561253, -1.1691874239061113, -0.9171370067238661, -0.6882326052044923, -0.5158293054553656, -0.1086282553513315, -0.2005880284185016, 0.1638402683104638, 0.42600966722558, 0.633054496411435, 1.0552221957535417, 1.0229927787312771, 1.1771370706159812, 1.4274048528707142, 1.2616225853726264, 1.5212654323019348, 1.478296934750928, 1.515233684865702, 1.6999961500143599, 1.5551988996204198, 1.5966239237675828, 1.3625984406382745, 1.424264600507978, 1.0040943635198534, 0.9291374506703577, 0.56960914918532, 0.4696131399820396, 0.22053157295591566, 0.10286523071514451, -0.39837792158896557, -0.4585667012384445, -0.75541991751153, -0.9533076875151165, -1.021345865239826, -1.1388240081156442, -1.4567367370371882, -1.3890686600196456, -1.4064568881146406, -1.6190721434244468, -1.3544119313161544, -1.6275882403332882, -1.569909431528667, -1.5845521363376716, -1.4051856385203283, -1.1591450362209719, -0.9070142125451005, -0.8503522906418582, -0.4570820598442433, -0.3948407793225244, -0.24075929298834836, 0.18735577966316386, 0.4152661196480143, 0.5447338427110964, 0.5371733732813433, 0.8805811981311878, 1.1654910742783526, 1.1438076379340616, 1.4001766453472637, 1.5366593303138065, 1.541966751755183, 1.6812284705872143, 1.5455251237374015, 1.4356213776641686, 1.4857118729013905, 1.6962133981174343, 1.428889330736815, 1.1476351929484874, 1.0258110601528014, 0.8603341156338968, 0.5968217447013542 ]
[ 0.005257232090434875, 1.1470278719484568, 1.0109518692890906, 1.13622762906324, 1.121958297732254, 1.0643096849614988, 1.248773619291438, 1.2480607595025965, 1.1778737992890236, 1.1991513143866075, 1.065054710825644, 0.998931131393351, 0.9603126731469488, 1.1840821062122313, 1.1959697042612898, 0.9859156982315683, 1.237228192569794, 1.3193804214033218, 1.1269834413259425, -1.1059659615677755, -1.1628925901620215, -1.2199578753580185, -0.9499809608865836, -1.0683158889671251, -1.034267835291932, -0.9262788930666113, -1.180712364669116, -1.0734838199580068, -0.9440533920629222, -1.1229457602233017, -1.0936804520320385, -1.052297539543095, -1.1504890481423873, -1.1236873286552136, -1.015265632954052, -1.3284799708127644, -1.1299100203262953, -1.1090611227999179, 1.2859523330380924, 1.0074146819562346, 1.1548252183980907, 1.076909761398188, 1.0630948326096386, 1.0679679403829152, 1.202760038215472, 1.0572843074357325, 1.1756452321180104, 1.234539686997229, 0.9476784921208842, 1.2675136302553034, 1.1817048167401314, 1.0334193193451877, 1.3441347916851458, 1.0727113629835108, 1.081066808158127, 1.0758304858803651, -1.2236422549929835, -1.0448046924484793, -1.12172597599529, -1.0587275392171311, -0.9377591859907533, -1.004377210316638, -1.0393707303268136, -0.9404803540431006, -1.2522037231793037, -1.1664812656982022, -0.885719344024831, -1.17724785631131, -0.8868186019379176, -0.9829732190094675, -1.1313089352744503, -1.1364647072509444, -0.9935342094527643, -1.0225102401092312, -1.0401931417655101, 1.048223529294909, 1.225262195280265, 1.3535728984804944, 0.9627921723303322, 1.207746854746995, 1.0488262746153156, 1.0146946560406584, 1.2077664197140123, 1.0913266742140382, 1.1956858250530533, 1.0944281539774752, 1.1212598690142257, 1.2355314698690862, 1.1009640615950234, 0.9484199574692581, 1.058087016938269, 1.1298263617682285, 1.1805097166813587, 1.0918117454138951, -1.1072522014347765, -1.112529284354364, -1.024445670703341, -1.1450581706526297, -1.0335626481803248, -1.0785198222046368, -1.1089228469219674, -1.0982172487066761, -1.0945052648769191, -1.020532566172424, -1.2312006049939908, -1.1446644040181966, -1.2652545926913694, -1.2268290090531846, -1.142754676518264, -1.0859766948086722, -1.2012129381597745, -1.0587514179883442, 1.1103894135721997, 1.154835972090529, 1.074162740270649, 1.18493116995499, 1.2429702741012079, 1.2488796217609794, 1.1034609641977253, 1.3477729019957252, 1.1138811847620054, 1.1921182243862867, 1.2465082204297369, 1.2419531675091418, 1.2552490006532366, 1.250260233961317, 1.0972113358684206, 1.1058300013255369, 1.1104302063734857, 1.1692746997425763, 0.8835457413981046, -0.9024807996369997, -1.0312333805180693, -1.1333168624712846, -1.2019606530310614, -1.167382449118327, -1.1983027081558362, -1.095250199621466, -1.274236562452462, -0.877668466270987, -1.116184899448361, -1.0658391310527797, -1.224988551064891, -1.0212001549626821, -1.1024791050327287, -1.2139384296149336, -1.057882966584001, -1.1255218318165658, -1.1734916291048252, 1.068844262760005, 1.0817635179837368, 1.082730257274572, 1.1599142930583812, 0.9280178941640418, 1.074012264082801, 1.1798253619601573, 1.0088572145470212, 1.110659424188372, 1.2604937749480913, 0.9858634867403185, 1.0398020122058635, 1.2262766320745757, 1.2519869531131853, 1.196242353542292, 1.089482398839831, 1.1406558326851883, 1.0749832950044054, 1.1517231533465433, -0.9932512241003566, -1.0483808617284773, -1.1224750070255989, -1.0181403344537072, -1.1369151917752378, -1.0057464127407651, -1.1266488141207673, -1.268020454343569, -1.0789424536778622, -1.1012968833686267, -0.9344424578468546, -0.9414242395382548, -1.0415041443804296, -1.19800852093324, -1.1063678903420617, -1.2789541296472442, -1.1099014615550782, -1.2613257732894352, -0.997294161658921, 1.1732752786606997, 1.1514276966598171, 1.2630033754902932, 1.1627298277344542, 1.1374297213083004, 0.9951484420337715, 1.2211930365717312, 1.144851617502418, 1.2114036265132344, 1.0576804347060333, 1.0437378763025307, 1.191333898309181, 1.2076416932776814, 1.2769797133598577, 1.0425975304691781, 1.1841421472772742, 1.1540522118721357, 1.040914632778671, -1.1934267480020972, -1.0619370740366914, -1.038981891245566, -1.1540805601587925, -1.1674954059434348, -1.2510671054111486, -0.8146014061684035, -1.1731130798442448, -1.2159658593430407, -1.0436551115012205, -1.1386097750870023, -1.1316279552678787, -1.1985683282030035, -1.0660865904522825, -1.216522926443803, -1.2306043547756984, -1.1480729414935722, -1.1523000857830972, -1.0455191141181366, 0.9889009849612111, 1.2152840883208318, 1.2164925311438788, 1.2316969180776174, 1.0081055465146294, 1.0258934550723797, 1.1816488920381476, 1.3520914884429995, 1.1243257834823481, 1.1669127942414865, 1.0219781352819306, 1.143552260164574, 1.1122423000004389, 1.1846164672201174, 1.2050258577969444, 1.1661226566883895, 1.07159583552132, 1.0239414242678277, -1.016473232030045, -1.0633595070912656, -1.001741190121191, -1.1433987312624574, -1.2658196162536988, -1.3592026506127444, -1.2743466672444437, -1.2021466551988604, -1.1383556881239456, -1.1572132862095907, -1.0948615619712818, -1.2720017475901269, -1.0272680868169788, -0.9690169627687097, -1.1011133217581575, -1.1614313101848506, -1.1276314461781003, -0.9673641715348512, -1.0220897466002143, 1.2063520186557914, 1.0989630431428155, 1.109016355146036, 1.0335931090164983, 1.0105307697683412, 1.1362803560753367, 1.0356151817359023, 0.9529206118746992, 1.1940563711829264, 1.0686302097360258, 1.1674084015082427, 1.1296622207906482, 0.9828281150950282, 1.023807342305443, 1.1508112193086277, 0.8965687633730545, 1.054104844891743, 1.0607302794173783, 1.190603269179091, -1.1277706366857219, -0.8611499431843996, -1.0664650039533723, -1.166287930111094, -1.133266523015152, -1.3145500532276218, -1.1428602544354218, -1.2262351133185805, -1.2039786409097484, -1.1609980586994433, -0.9597199493565781, -1.0020385351823176, -1.195783596696175, -1.3182017807535398, -1.155024314966652, -1.2661662759427224, -1.1670869989240482, -1.1805840700893335, 1.2132930584041224, 1.1998575197215728, 1.0922378364828462, 1.134936222630707, 1.1546631294166172, 1.0345234438585242, 0.8867781683837415, 1.2147605088494853, 1.189539878997047, 1.1499501805375076, 1.1969469700305464, 1.042129954342186, 1.0553250293035137, 0.9951060984506823, 1.1646031616017845, 1.1412081758838635, 1.1151368741165002, 1.1258714508826009, 1.00028377797854, -1.199284791304125, -1.2115394922550684, -1.029014540330722, -1.2468560414454524, -1.1174640376146763, -1.0282810849737958, -1.1606296684011173, -1.0052101239583626, -1.1665145260300036, -0.9863627323731454, -1.1027611749996291, -1.081400092324318, -1.167259388741117, -1.166594078689996, -1.152482493489268, -1.0873232750111363, -1.1660243108028028, -1.1548969364379242, 0.9981397680756239, 1.1344920302720343, 1.1272001581760558, 1.2543247982588839, 1.251415181643467, 1.1933052444815027, 0.99835996214798, 1.0664107787975339, 1.0746913230452904, 1.223587508355486, 1.2365834468727566, 1.1373939467194512, 0.9756787673458183, 1.242530629265739, 0.9746418571933713, 1.0797179000443162, 1.1994109562377684, 1.2396968380151614, 1.136011663597259, -1.1500307670365015, -1.2211582142734982, -1.1868876316720767, -1.1778525522071812, -1.2357359065254339, -1.1032987147589524, -1.2266641220302397, -1.2099995948683389, -1.2807708423854085, -1.0496681235897902, -1.1352573056235462, -1.1057495932432726, -1.1021780086401263, -1.1822689026465416, -1.2225473034492893, -0.9429326323335723, -1.1573927174806655, -1.1815822651653713, -0.8294864176671883, 1.0563798835723477, 1.1026884592049075, 1.0370747858484748, 1.2348197304141844, 1.0631730182927013, 1.1610876395853653, 1.2061481887695473, 1.168253535497883, 1.0131477266581137, 1.2119147328957303, 1.159045081662483, 1.12370181321922, 1.1375448482389092, 0.9701130712943641, 1.3181219776847533, 1.2652071877248432, 1.2415033938322302, 1.1017017543367726, -1.1170872840523705, -1.0202485874714868, -1.0906077876451163, -1.2218727364065343, -1.2390542937121682, -1.252472307927139, -1.214118541228872, -1.193121969823249, -1.1230044307450626, -0.9868881296406089, -1.1787211302702056, -1.0489336080296652, -1.1246509049593683, -1.1618826102723812, -1.0724890046684958, -1.1451298168352244, -1.100520987032064, -1.3417543598514925, -1.1573779833920648, 1.167203160744531, 1.215264779675783, 1.242149128140051, 1.268060493037328, 1.1743908806779881, 1.180408838381165, 1.0681868548117883, 1.159470612801734, 1.2349722801100609, 1.3080885435172134, 1.0273848674806554, 1.0890262616320951, 1.15870756015432, 1.1229478549387413, 0.9723610958530495, 1.2038649111656718, 1.0479979750674926, 1.0767057771196762, 0.9686903952220735, -1.2963418724155071, -1.061657683171394, -1.2538037700321063, -1.1401429369453324, -1.059999257070141, -1.0585172099662468, -1.2816850434457627, -1.055705863598303, -1.2139354207882647, -1.0066415654285088, -1.0222442332802115, -1.1529884146635785, -1.0929542285755232, -1.1925309790914067, -1.064178347360757, -1.078918285885248, -1.1414352819192277, -0.9433123731623584, 0.9433367266200607, 1.0872700778620694, 1.0585878554479269, 1.036452425787099, 1.0832130284621015, 0.9380828117509831, 0.9568964750060438, 1.109187982199145, 1.1053625821368993, 1.1070540079616544, 0.9183174402321005, 1.0295844562517555, 1.1128588850350032, 0.9200626495913733, 1.029728261839626, 1.1622194077512606, 1.1228523618766468, 1.1786251730737423, 1.142027680972227, -1.2255699813782368, -1.1407693438443387, -1.0912059369048197, -1.3107885546586113, -1.0886741258157977, -1.102373692225353, -0.9674664523758094, -1.341309536254109, -1.034522228047793, -1.050692914701681, -1.3844995656833108, -1.200386138548122, -1.0092730005978874, -1.140541788700406, -1.0986157186534626, -1.2212625519653093, -1.0198257513494793, -1.0895030933713132, 1.0350852333209388, 1.1990276658974488, 1.2423989195095466, 1.1449837387122856, 1.3116484209427073, 1.0616403372956549, 1.2067837052723431, 1.124278832833966, 0.9613104649139349, 1.130046448313079, 1.1574328045927829, 1.0824324142828354, 1.0059533623657484, 1.0536299797915145, 1.179254619604234, 1.0733689686501362, 1.045422161659053, 1.1088448898373062, 0.9676240419605899, -1.1223218435764877, -1.1528277814224706, -1.1230803861613137, -1.2935126505987142, -1.1619447579282636, -1.1121473225637866, -1.102018691443259, -1.1128968324182857, -1.1654316314389703, -1.1575602566727352, -0.9765486570446105, -1.0792734959046728, -1.2461794016901184, -1.1141113623194157, -0.9606035716811063, -1.0141873786755555, -1.1518730274611957, -1.2077883572909396, -1.188109008952545, 1.107241226289602, 1.1189140605157288, 1.158792749833887, 1.0108778857134093, 1.2174116489272357, 1.0644212285044012, 1.1454405558487393, 1.2169472802839925, 1.0884644353248711, 1.1807525644083203, 1.064164415508677, 1.1010553809558177, 1.2293136788797223, 1.0776238713867192, 1.2024505254934448, 1.0364860701821395, 1.025768487279452, 1.1540741317164653, -1.236965295389502, -1.1289056538832511, -1.1820240014683132, -1.1987192296926885, -1.0712485532666118, -1.0668345285700211, -1.1617430179401558, -1.062887937180372, -1.0143096972628918, -1.0039880308875186, -1.1926712452031745, -1.286102668494843, -1.0597303916343084, -1.1421816551178172, -1.1156964948790784, -1.1118287907045195, -1.1672527146908167, -0.9332303366132102, -1.0922217975669408, 1.1571855148069528, 1.1246795689227043, 1.2117072558285784, 1.019301800975918, 1.059700748381512, 1.123283826586108, 1.2285282411582192, 1.131333962593996, 1.035061524124956, 1.262800406828888, 1.046151288379152, 1.130578675694363, 1.0941976014773116, 1.1190449218577814, 1.010554484751186, 1.161598587237007, 1.1778844193916898, 1.1719547874614415, -1.1422822300356916, -0.9900750963031035, -1.100372157305547, -1.0126507649854513, -1.0979708431333275, -1.0674095744255148, -1.0787084060145362, -1.187731695731562, -1.003176087736392, -1.0988508883664667, -1.068434861987938, -1.1389970982543896, -1.210406757502071, -1.3918551525594065, -1.118428193416481, -1.0253108964465831, -1.0319721282981393, -1.0368493490546256, -1.3336354236178494, 1.147136752703151, 0.9801883812173516, 1.2158816227961848, 1.101110172315538, 1.2991995198292052, 1.1471825093029193, 1.2348782108262688, 1.1423570203398918, 1.1542945694770257, 1.2128243445321183, 1.1203076938397032, 1.1370525939303509, 1.1890172961495025, 1.2786591825382232, 1.025128992558973, 1.0088286019348978, 1.1632021939002128, 1.1032879671436229, 1.1887231752853307, -1.0996793140824892, -1.186782376876346, -1.0285616500102368, -1.056021232715517, -1.230568923769594, -1.1436639875864976, -1.0191210504838113, -1.0811675443115332, -1.1695245643413608, -0.9610162987710581, -0.958705964645362, -1.0300968879123344, -1.024571032450284, -1.2662234430981212, -1.291288840577374, -1.1853724100942353, -1.1193093939055188, -1.3416149325854696, 1.224586975276386, 1.3021216185607947, 1.0710307056231332, 1.1797599182006273, 1.2262675093248547, 1.185965213616569, 1.1798952004258059, 1.237557650541921, 1.2437905571770445, 1.1061162326674867, 1.1579978386518897, 1.2908168331797645, 1.0707162737573885, 1.172079257240396, 0.9983034834228621, 1.0273686701665248, 1.0331587983032962, 1.0869280656580471, 1.0498811427025612, -1.0720478754808722, -1.059756233158231, -1.2007720075013846, -1.0437642409162937, -1.2739776145011885, -1.2316854049947574, -1.1470628318257547, -1.2082941082282785, -1.0853661503702319, -0.9931053837628199, -1.0301000958025348, -1.1641025845022277, -1.1532693094615039, -1.0931275343727975, -1.1246963060622226, -1.1873720364422862, -1.0543586011865473, -1.1176195860499727, 1.0104424540144794, 1.2679916540896226, 1.1398575663606956, 0.8680015301015493, 1.1901511526192037, 1.1193507562692504, 1.0946471376232485, 0.97049768612612, 1.252145067650598, 1.0962651285696439, 0.885986613253738, 1.017030544190831, 1.1248729747843944, 1.128006498909941, 1.051419378488294, 1.1735316192605645, 1.0008305792206034, 1.1117504138297745, 1.1360683266948144, -1.2127514326073499, -1.0188939258493461, -1.0001294197062203, -1.1121817583769018, -1.0971881252253015, -1.0349612598644191, -1.075201180526212, -1.1259118345661585, -1.0327250616828192, -0.9505945964711775, -1.1419170883392293, -1.159813593687579, -0.9947623999410479, -1.1842973622109891, -1.2280868234008813, -1.132776141567568, -1.0223278030776513, -0.9514702493041726, -1.1055125948329254, 1.144828914248839, 1.1431371949844022, 1.1117134536353643, 1.1253405207365472, 1.184329238064123, 1.209110714141383, 1.3321781640122674, 1.2179132791811322, 1.1525625047946064, 1.1078934977389048, 0.9632975593228893, 0.8926125229338114, 1.0483902364904842, 1.325937481061081, 1.143713839735817, 1.0286646168691536, 1.1500353755014407, 1.048509964853733, -1.021020051158143, -0.8408092034399504, -1.1378081631795267, -1.1345846068363143, -1.1350823418809715, -1.03761935243452, -1.2218822975705883, -1.140491254579915, -1.195389454591782, -1.1460053142548279, -0.9675819651119649, -1.2140607813144602, -0.9911674182168001, -1.1574181944870252, -1.1637306034667867, -1.1517868294582947, -0.9413313247524214, -1.0791782924814695, -1.2573394350181089, 1.20211989917458, 1.0863877997351719, 1.14347958536396, 0.998786717493559, 0.9839720200206036, 1.1414107244254246, 1.0681029084576472, 1.1001361007875485, 1.126673644380962, 1.032989693334682, 1.336253212225542, 1.2820520890597416, 1.2321933057392256, 1.2139006133372205, 1.1737714717704737, 1.0918927712107867, 1.0957789245648466, 1.1513158608249776, 1.127957819271764, -1.2446502915227105, -1.1023313709684477, -1.2174004145423643, -1.1118235915464638, -1.1296392356706288, -1.17722534455463, -1.1872962904928022, -1.1445709574599927, -1.0452336947179988, -1.048084289462365, -1.08809488742712, -1.2930895654793113, -0.9702471335761486, -1.1805843074717897, -1.0139537506136678, -1.1138171410622297, -1.1529390095152565, -1.1353400215967133, 0.9985139903475775, 0.9783995679736719, 1.038961607311416, 1.1092868957203657, 1.0363820904762446, 1.2946335165168092, 0.9822021035812496, 1.2656353148068018, 1.1035017947509114, 1.2186396743129428, 1.0984825240873057, 1.2005626437824417, 1.053852339988361, 1.154274609804939, 0.9434865164293555, 1.19346879491687, 1.2186234189133742, 1.1822143374259002, 1.1440813184455023, -1.0848681554595077, -1.1207792636437224, -1.270747599861985, -1.0264567520743193, -0.9880895985527545, -0.9420324815790448, -1.2026505392236895, -1.065655163757468, -1.0938369282698346, -1.1207281012255856, -1.0466737484275181, -0.9640178322802713, -1.2370182203527122, -1.0709979323873253, -1.074155614774663, -1.1159733990759038, -1.1437017285830497, -1.1680636912388513, 1.1175294206877462, 1.073600697611553, 1.1168614821773866, 1.039543845398038, 1.2621568950916864, 1.0424822898951278, 1.0756625570994283, 1.0655190128967116, 0.9526400100365116, 1.149024128226083, 1.273251009536117, 1.1634324965114335, 0.9116011959432072, 0.9934210731357374, 1.030948172950263, 1.1974043270135977, 1.1516118809173368, 1.2576222840241975, 0.9628327935933608, -1.192675546247279, -1.0464511935930059, -1.128027084961614, -0.9184551986619461, -1.1108169735414946, -1.310949509363301, -1.1925656061967929, -1.1442543892293382, -1.2141390746901826, -1.1938466809118835, -1.0888468858059375, -0.9780053361473405, -1.0859545640568333, -1.2542607505618242, -1.0204682226812811, -0.9743378827632441, -1.0689600517797586, -1.0543393398032075, -1.14609134911987, 1.13597488528623, 1.2809822058517013, 1.2424868676963596, 1.0254479262524085, 0.9811308115284395, 1.1404774145071133, 1.2039441410375897, 1.011401217771878, 1.2248511994324995, 1.160850398194306, 1.3044007609595925, 1.0887976025585728, 1.1242670462969973, 1.257287504603404, 1.0931646045280399, 1.193341488807866, 0.9997415642634462, 1.2664805627810574, -0.9807981146606299, -1.09303808045119, -1.0616333665193363, -1.1636189986906997, -1.047363681446449, -1.115141457584528, -1.0801902822913179, -0.9615185355584457, -1.1060729919503336, -0.9685913814279655, -1.0643720558742888, -0.9954696823664381, -1.1999946190664925, -1.0770989245834195, -1.1041539312597652, -1.2361930308936862, -1.0395777799035115, -0.9643989377096903, -1.236963099725709, 1.0685785778244763, 0.9794020859507511, 0.9100850524804063, 1.1081008792819333, 1.160441181895655, 1.1235794055691464, 1.0286590119384418, 1.0189764901230451, 1.0420937760407105, 1.1090393342929872, 1.063150134391072, 1.1192628839285002, 1.3870674092712179, 1.191370467645465, 1.1792612443211368, 1.1394345818787603, 1.237459592571909, 1.0579465690058714, -1.186516255912768, -1.0380348968696895, -1.1241099060514916, -1.1243226527119654, -0.9982993217974168, -0.9595182859259113, -1.1964278750403012, -1.2913968024790354, -1.2059235216256394, -1.1802060190292667, -1.1367607099491095, -1.2437512469093375, -1.0565213019062685, -1.0556969371858202, -1.2062809702369204, -1.112700184173461, -0.977648441905863, -1.1400903310938881, -0.9638828773408242, 1.210414103126118, 1.1098130908678507, 1.1895198573196277, 0.9746567137878117, 1.0338705458033561, 1.0647059816614624, 1.1702731454326687, 1.1924555055190915, 1.09842031083603, 1.1865302485464417, 1.0370599202547444, 1.2565630043665519, 1.102112835086424, 1.1263533465578948, 1.1804475970742114, 1.0455479363917317, 1.1031324872659314, 1.0019387560816546, 1.2165392487126612, -1.2331917547875508, -1.026216970691511, -1.0537188246000422, -1.0710476760743848, -1.1013560421989772, -1.130593693396618, -1.2143444277452926, -1.1319965083940462, -1.0343129687228003, -1.0912821113566955, -1.2069179094468163, -1.1932646243302274, -1.2205452446980642, -1.0208434621687994, -1.1149676249296845, -1.0820787660318234, -1.0853707019788887, -1.272647833632211, 1.190497522715083, 0.9345196797218924, 1.199349401497348, 1.159823029148157, 1.0970759058027997, 1.010338384807687, 1.0658369063756783, 1.1427908938775906, 1.1241857440539849, 1.2003583856929765, 1.079596300192193, 0.9560285452746861, 1.1294484671968603, 1.2314459428925801, 1.3962640671112172, 1.314896048308637, 1.2956607294274178, 0.9850334218993169, 0.9547632793060716, -1.0378112865248335, -1.0143287850742126, -1.2115858569118043, -1.0728475742114907, -1.1737053516313751, -0.9553398564819394, -1.1372362907903515, -1.204731708427682, -1.1111083630406753, -1.0458412324201383, -1.0358762302712843, -1.149669890940467, -1.2090882213077179, -1.059420605278822, -1.0761142386890463, -1.1134205229082252, -1.0971472283455033, -1.1488337280307452, 1.2031601953660584, 0.956798816171855, 1.197994503009134, 1.0843388441782567, 1.2179632841466526, 1.255860711550083, 1.236103061320502, 1.0950079522826974, 1.306377347208754, 1.0637141881453291, 1.1296861624389551, 1.1380649231915874, 1.0213500534342104, 1.141169184435041, 1.1593662731196754, 1.1150675641930579, 1.0216490264331233, 1.0774405275921337, 1.3420614304399854 ]
90
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend" ]
Both time series have a trend and a cyclic component. Then we say two time series are flipped versions of each other, we mean that the sign of each step is flipped. You should check if the sign of each step is flipped for both time series. At a high level, you should check if the time series are mirror images of each other.
Similarity Analysis
Shape
462
null
Are the given two time series likely to have the same underlying distribution?
[ "No, they have different underlying distribution", "Yes, they have the same underlying distribution: Gaussian White Noise" ]
No, they have different underlying distribution
binary
[ 1.1120292431617294, -1.030915275552179, -0.6733878017252748, 1.0285771478666017, -3.2518285487846534, 0.39861529638864884, -1.2096860502507287, 0.9884761071558777, 0.30682888783746665, 3.202435630620215, -0.4904139544517256, 1.1441580668039948, -1.3964629144737835, -1.5195914716722454, -1.8974165209884988, -2.5064413183154506, 0.45674517936899006, -2.395459171027364, 1.2304087794561624, 0.33654534542769937, 2.461003164895583, -0.9891714001780514, 1.6475158409669772, 0.8515440294861729, -3.7174354727537797, -1.147509532934507, -1.639759128707121, -0.21854190196561324, -1.0640565278496315, 0.9636319886033956, 0.9400910200679855, 0.4055677655704654, -1.6534968542631021, -2.103539077082663, 0.40492087903079294, 0.3502973691889587, -0.037126285775709256, 1.59071119911848, 2.1787447308627708, -1.6669193357253962, 0.5148815655750227, -1.9766669216292116, -0.23698215001342304, 2.9589770485045372, 1.3005211446472937, 0.2679657760177336, 0.40036937731164884, 1.1739403575772502, 2.4665394956565345, 2.3722326210771425, 0.7730713286056721, 2.5510557472513367, -0.6611432089321028, 2.1859615698295305, 2.2888306446494395, 1.2934607156352027, -0.40333753388092225, 1.982636838478524, -0.7358588602113465, -1.5766826834583934, 0.8585500775138466, 0.17337714124062475, -0.1997932410863525, 1.232748626627851, 2.2132541197187097, -1.833000047330717, 1.9274159318167492, -1.673575773095265, -1.7475486233644195, -0.4559140780382985, -0.6402645872346866, 0.447374208412252, -0.6913943319125522, -0.7994766412437523, 3.2013269798810504, 0.4298866990967139, -0.6832850890493118, -1.2489056781277141, -1.7419165271824113, 2.2426689358560483, 0.24080137676505287, -1.4633839053346318, -0.6038127582253656, 0.25451710219200857, -4.24739448103361, 0.12303761311246575, 0.03257103580186377, -0.27841155363110703, -1.8905123058437368, 0.5065046179974639, -0.04944581298821622, 0.5611892927361056, 0.4338118422237677, -2.1386243192928194, -0.330489596865538, 2.11876989846967, 1.1428589837614171, 2.803390533086304, -0.16543130897510738, -0.4715882549044465, -2.0579056704115, 0.20683936883668821, -0.9844612410239079, 0.9959691122228104, -0.03678230928304478, 2.668454741978125, -0.5077617473771904, 0.6563404722009862, 0.2729864900808924, -1.1690301545944095, 0.042343552438545276, 0.9843214757522224, 2.397448760763861, 1.9934578032925017, -0.980143237793124, -0.49207604087154716, -1.259436131718117, -2.822082341640586, 0.13223270307441976, 0.19259183479289105, -2.1935422948934473, -2.4706134130188797, 1.4250219434595148, 0.9343879478554334, -0.4122055518668767, -0.10367611103413567, 1.7162400129606203, -1.3181611203025827, -0.8058679862174517, 1.6778104224574504, -0.7772007826098081, 1.2791313380940372, 2.001343285649299, 1.1389732856154642, -0.7439335893722148, -2.1025745259666886, 0.03257458257549776, -0.5133167220865283, 1.4669601590764991, -1.566038052323466, 2.332042277994364, 1.9213106649633604, 1.4033418683536465, 1.5719406798396904, 0.543760417985809, -0.46800218213976347, 1.0951376035900118, -1.4933912367517617, -0.47128238212910856, -0.5036424959512197, -0.9602492590143937, -0.5997771614964946, -0.7438821739295425, -0.8321625425760962, 0.36545194885455246, -2.823729309988312, -0.5238703460115781, 0.5148776655080017, 1.1301510077286774, 1.5578863632723507, 2.083899079041307, -0.5115751715890963, 1.8735170554782323, -1.1148980179477608, -0.07955689291790267, -1.1504423732069293, -1.1968520525572013, 1.695158311272964, 1.336883957042881, -0.02540543992728085, 0.6327052589668692, -0.9208548248378803, 0.20232551975896385, -0.2413564302218279, 0.2337579032814003, 1.2615940529803122, -1.9796254997318157, 0.012543615290166427, -0.7211713286520399, -0.6779930203825173, -2.691418363014938, -0.44977545037627853, -3.3201702889667577, 4.923728093594857, -0.8435382876006137, -1.2980958230421944, 1.4522547416773495, -1.391620087573018, 0.6994661657221806, 1.1565792523258491, 0.019805703651446356, -2.287898371832214, 2.2062172897726366, 3.473188107385625, -0.6922587935226777, 1.2399287805301784, 1.918183729763196, -1.7389379613823954, 0.6473060921552506, 1.3492036243485672, 1.2549353067724698, 1.5721134399323962, 1.4677101025532886, 0.679564811076713, 1.8902011376833998, 1.1062150257812395, 2.099621829385095, -1.4405146404024003, -2.524414890204542, 1.1799955825834179, -1.000977191245122, -0.8312236425089023, -0.4211033498658009, -0.641580192420528, -1.965622174073781, 1.1933141091409702, 1.3855819574896093, -0.40928960975784856, -0.29093708345900593, -0.3988158044279579, -1.3026355967219048, 1.2724783182181902, 0.867238397591995, -1.6909231223377699, -0.44749656595005194, -0.23220490512902772, 0.5770231430843167, -1.1834007014227026, -0.15278177664733222, -1.2769301196646543, 0.8858965499982583, -0.5148026251764861, -1.4329480468481937, -0.049569966250926974, -2.2182755804137515, 0.08557869532854755, 0.06328666295719444, -0.1500581444596047, 0.18190244867396566, 0.24655988057722397, -0.04355942552858285, -3.426404628584467, 0.35532371336391083, -0.3676434527489769, -0.721634053860577, -1.0714881351352914, 0.1810820920476816, 0.6214972542549756, -1.0275348343582187, -0.1314368217039188, 1.8999221239582633, -0.2684381474682941, 0.19506311803672985, -1.887632272063419, 0.950743890174398, -0.2125530831391312, 1.5232868457656115, -0.1081560165360248, -0.9762188812941185, 1.3321461155724026, -1.251561212654038, -1.239361039541779, -0.7283335930656891, -0.8347983797350786, -3.8141233694243293, 0.27340044589752416, -2.5018790501052695, 0.07626025510235576, 1.4789353768553606, 1.9882878227503573, 0.738360249600629, 3.4673526097375107, -0.9076012785457306, -0.365854054216833, 0.48768836172647767, 0.6190627231425665, 2.153838192271052, -0.5517882268238052, 2.355925446290174, 0.8469898941975913, 0.9065153784336057, 0.28226987493555716, -0.659961570952116, 0.1873397457990571, -2.326098049199908, 1.6457868815140153, 3.8876888384729966, 2.205255689443758, -3.2389746997831574, -1.4550691957837745, -0.9591880757349172, 1.7941310529665997, -0.2795199570788672, 0.03386071984269744, -0.4030182997817362, 0.12296949727558963, 0.6084415120272982, 0.3432255040679882, -0.22023705100556668, -0.6871951635630065, -2.4797097139310864, -1.2542825517457672, -0.5249753695203453, -0.7007485809149526, 0.3965072391380968, -3.125671499068333, 0.40884489199703244, -0.21854871482763316, -1.1401001437647942, -0.14666269083829586, -0.9501942000370818, -1.7473383637266868, -0.669342031716595, 0.46820890258078945, 0.6895886724024032, -1.5774603837516306, 1.7746641632898037, -1.9897985801463602, -2.2860463186209303, 0.6414432880959116, 2.174507066312361, 1.2551785561190758, 0.6279574428509395, -1.5361390426930694, 0.5351630351114507, -3.42179204165219, -0.9819761298701606, -0.23609154619835837, -3.0808207760876853, 0.34264975917823265, -1.4475459896865541, -3.612251236139798, -0.3001190232634647, 1.4717263325468182, -0.9182156241351583, -2.024174694377172, 0.7214672713680523, 0.7762214167532651, -0.9626455187374667, 1.4985393277275598, 1.472784299530022, -0.04969320862019934, -0.13211624106146486, -3.2791554553292235, -1.5961502290558167, -0.46085867829210514, 0.1416998541540032, 1.6045044505052093, -0.06387881209415469, 1.7239358220755343, 3.5147469551960784, -2.816150145785443, -2.3857569031475516, -1.7388228488586512, 0.4659381694295722, -0.5523017323552611, 1.2448905569479347, -1.7560676629436853, -2.3635454395341418, -0.7838457539734797, -1.4716463362534273, 0.6935894696155527, 1.6120974355770847, 1.4083317171926166, 0.06449395089270903, -3.0677116534313287, 0.20094335929291315, 1.968569958993471, 0.7837818256788798, 0.6610761329058307, -2.1709529094330953, 0.840923110197221, 2.9711330459745713, 1.2471345489843568, -1.385187092550809, -1.2197394354289774, -0.8695595491812134, 0.6025346878713888, -3.232717238331073, -2.957523997361877, -0.6467436476228287, 1.2193227300801928, 0.6232905925674479, -1.0408560092627752, 2.5909551811607026, 1.8161987551819534, -2.0746046624796284, -1.0581920589258154, 1.2296038635281052, 1.4948300195978093, 0.4675144204362544, 0.5386467555728763, 1.574185948648286, 0.48179934751629605, 1.0240078208834158, -1.8492840123651075, 1.4368249909177861, -1.003535401746821, 0.32684107763647435, 0.4364032895419972, -1.420611721701925, -1.188687079722242, 0.4131160219756665, -1.0260094462999314, 0.09415270648521104, 0.2612073695677021, -1.2960369620286674, 1.0141067061327134, -1.5193420581742854, -0.677415099337376, 0.3137686604275651, -0.4718041088284677, -2.5544395076730564, -0.20141737880697225, 0.4733085478307921, -0.19518414618060526, -0.34026605971148893, -0.06914931906635927, -0.34485744600445767, 0.6512301449622683, -0.005748827846874433, -0.5116039522177191, -0.2611105441707179, -2.0765658095240633, 2.832748402373777, 1.2794563069132847, -0.7972379235922884, -0.9472688031666866, 0.027394846224916752, 1.9562249948698156, 1.4788498081233892, -2.1428575545461697, 0.13955637849982508, -1.209127015390242, 1.3843465087329685, 1.303875558559885, 1.012832220514069, 0.9196261793689902, -0.9018149454565402, -1.15653733458893, 0.3487961139686945, -2.1942886640061907, 0.5575293921143389, 0.3179763768466077, 0.18492129932485762, -2.096872303776215, -0.017107189593646974, -1.4241736108821688, -0.6276436646559571, 1.3621463877518603, 2.4723162240121686, 1.2499545309195212, 0.3698612018308528, -1.783112907514709, 2.3065692296536726, 1.0960646819575055, -3.1905187963948096, 2.491160068529771, -0.5212362987563929, 0.7533684035972859, 4.0598489492844285, 0.13539216412403854, -0.40894117899928234, 0.07207777850352166, 1.0473265137927212, -1.0445581230225034, 1.4070955271961891, 0.2979203405856228, 2.27242363036033, 1.6869400754526207, 0.19207735811936977, 1.6503119505716435, 1.6824333724428737, -0.7811395350209313, 1.5699321896397311, -0.9553324819692618, 2.622898317565244, 2.061652960990045, 2.295557711999682, -1.8277851644763619, 1.4188800887415751, -2.6329745172666676, 2.226784056128743, 2.164219052010196, -2.3147431008758876, -2.39993862292702, 0.9650489027805506, -0.7034521796084252, 0.8404195800342823, 0.4990071217130789, 2.94491734727967, 1.612888247818681, 1.532134315080636, 1.1344756007866135, 1.6390483904249213, -0.8473546607386881, -0.12094307015916457, -0.758477269620137, -0.33850739420861264, 0.03690640342255193, -2.044923941945495, 2.951842728668825, 1.0914713145289237, -2.2484718419593004, -0.3615616014222355, -0.576430520746295, 0.7992906075353752, 1.2165593499508887, 0.182015827243201, -1.4132106651475944, 0.8168483365603475, 0.3269851522203929, 2.827174289623321, -0.36752832742737934, 1.7435610078552402, -1.9335140139916716, -0.4310500457529453, -2.545126948011659, 1.2063570648977093, 0.29205152677965335, 0.9044594325184463, 0.48472712103768256, 4.305659023186773, 0.8426688854881321, -0.37180710508327225, -2.9104893399490805, -1.1513289989503952, 2.8907841316757827, 2.557827010819776, 0.20746373778400132, -3.944747872273132, 1.2268313891254832, -0.3509806579566934, 0.5544610985262599, 2.8574209283686915, 2.1752007531461346, -2.265726295736664, -0.15121551577032885, -1.2557106381855538, 1.6315034977563736, -2.3086064429995776, -1.4890644826438677, 2.0257151420574107, -1.8853810991557238, -0.4490336191099412, 0.4087559007736489, -1.1510162619703546, 2.4096746844735804, 1.0559949893828886, -0.22205504617532756, -1.118898797409694, 1.9008864047618292, -0.6033958991415529, 1.3431343931695863, 2.0535227858499323, 1.6707128197117307, 2.138942832103192, 0.3615166527112462, -0.2863852089407407, 1.95393983227868, -1.5974386206846864, -1.4997642233232518, -2.561144864020482, 0.4464099729984332, 2.245224072084009, 0.48160121735932016, -0.09613230161015321, -0.9136409259764426, 1.0664162060079367, 0.46132392808375017, 0.8928536424564805, 1.708508542391061, -0.9858809887549437, 1.9801848194142269, 0.36522671356373215, -0.7650330581044784, 1.805188321491249, 0.1949581112596378, 0.2680468153767591, 0.2548347347758481, -2.6636290003101872, -0.8506364873817372, -0.24366775658758583, 1.7061270588773658, -2.7845560102420466, 0.46101212624722193, 2.0694836429879775, 1.683642097462859, 1.3644580965261244, 0.7304256978364458, -0.5481516717306028, 1.239890943329585, -0.6666906495677838, 1.1776643188430833, -2.370503150593723, 0.9041257496741955, 0.3133815418958097, 0.9738072982143305, 0.6723962572267078, -2.1745397874264847, 0.44950427220017497, 0.2794550095538643, -1.8010239393775729, 0.2201439964549734, -0.1309750006733365, -0.8717000092704994, 2.150396340441751, -0.30170533869258703, -0.6247153861362933, -0.40114657873713333, -0.8243896944699078, -3.1327133269457472, -2.536587879961195, 2.395748764805684, -1.0091953300957597, -0.1252184516556016, -1.6863279858055955, -0.838300241709315, -0.4032509316446543, -0.8902114155281854, 0.6807759190883997, 0.9423006127461073, -1.430794115970614, -0.7027779943544625, 1.5968127955599114, -1.553101956294048, 0.22521867460854325, -3.2265478714349083, 0.15172089146693507, 0.7732339253408931, 2.4626771141552433, -0.626615502940474, -1.0353663620642344, -2.6838539507776753, 0.5890083944633807, 0.4756180116863195, -0.31210327642689717, 1.80925283179385, 0.8369331245735004, -2.4019659804112883, -1.3487792672826253, -0.4868701188019061, -3.242427009643237, 0.19307333638161508, -0.9406190751731742, -0.8068492612696436, 0.35002045186810526, 2.317181691262029, 0.23613737640678883, 1.5201457512125847, 1.6751884993850106, 0.8636459224224005, 0.1637888774145927, -1.2800469053629313, 0.8908337167667693, -0.5483749864138974, 0.31415917909184615, 0.00003646865447891334, 0.3169060050115154, -1.8519099630514915, 1.9008916898334254, 1.5348577421964362, -0.2863130451423837, -2.2942082381617306, -0.022970065015631428, -0.3445235736754527, -0.17387496214387513, -2.1954618888228823, -1.0449791141276144, 4.569047240479845, 1.2569693007840155, 0.3157729123535873, -1.1807487827353402, 1.8938997527161918, 2.208452148349201, 3.7893907247977454, -0.837105591005388, -5.128254771625, 0.6642361847222368, -3.9334211785875604, 0.519302276845852, 0.2561147920771879, 0.5184116379543847, 0.5969931174346531, -1.8212889220117663, -1.4830396920549007, 0.11823108942634009, 1.4754708411092645, -1.9475384889817489, 0.2693532833336496, 0.12994938781788745, -0.20411490852031963, -0.27232559738576756, -0.5396754556169007, -1.515651852815497, -2.3237524943093324, 0.4377351098288506, -0.09401995745126458, 2.100589777305097, -0.33101655197005475, -1.3893580677568984, -0.2002908600757255, -2.099446760151248, 1.3759266832796375, -2.108543911721162, 0.7503280520269305, 0.43743930385719404, -3.2761340136087393, 0.6685910155845017, -0.12170489423037964, 0.9185339688291525, 0.15045500478412294, -0.5417927037454373, -1.2251473580198673, 1.3021617038088753, 0.06390940512290952, 2.581921055779253, -0.6504741317356586, 1.3491574092832515, 2.5025442990283526, 0.5468870276811862, -2.6462084087621305, 1.074055968445623, 0.49961008436289456, 3.7652702155176, 1.1096537281468621, -0.3341444201147823, -0.34913211078094486, 1.3517320977693288, 1.3966575911712802, -0.3624714346052434, 0.37950331389005976, -1.4835269259641877, 1.3068797355418664, -0.017433962359732297, 1.8733793973275585, 1.0315537526833152, -1.0494358991161148, 1.4118168761355625, -1.6791102549485648, 0.21313946038944864, 4.8396065635890455, 1.0540721342090373, 1.0734562822213742, -1.3844560916102213, 0.26552151415674696, 0.4183290399737677, -0.10529379941481659, -1.0609444843817886, -1.2580427905505789, -1.2605414783721005, -1.2550366793471435, 1.103914265750786, -0.27049862274582426, -0.2665141955429521, -2.243361429985005, 0.8653258082422217, 0.8660108645974314, 1.3815500808244228, -1.3612879604001125, -0.9191135104190689, 2.963795032287272, -1.650459677007013, 0.9008425986542966, 2.478928517081629, 0.027261533667845145, 1.0761818647463781, 1.0121671664566123, -1.3851822761620731, 0.7283696762258652, 0.1710319346656269, 1.2337184775252683, 1.55188724869488, 0.6462661668506593, 1.678153974922466, 0.31010557190493027, 0.19487319114976145, 1.439531539544843, 3.7480551559536734, -1.0028361120556177, 0.5976875640446965, 1.2858200763922056, -0.76570294243763, 0.13481758724005255, 4.019148830881802, -0.3953603842945085, -0.8764442644210455, 0.7836787592025752, -1.5437991173055385, 3.2228214700390447, -0.11028556721419502, 1.2864305314983002, 2.020216917259825, -0.06395138840493798, -0.15788344427251874, -1.7019735406315304, -0.18468175975115916, 0.4150747468622931, -0.15379592178924265, 3.5066802964591353, 0.4496617449853888, 1.3356393976340357, -1.6095836419765233, -0.5739986329268363, 0.10463724646862946, 1.282431017093519, 0.6716024340947258, 1.323301784135809, 1.2940320418104974, -2.8559416162707945, 0.24832187042897652, 5.3036620420497185, -0.6274894852225995, -0.9307472497553144, -0.47643222934808044, 0.05151971885203435, -0.8215098505955893, 1.1190700093300867, 2.3679826178958496, -0.607519920798319, -0.9506166951954358, 0.6463792727605844, -0.4028776598603193, 1.6923421323739056, 1.653324854870523, 0.15322645087252812, -2.0148785045485775, 0.999941075155134, -0.3078314699025702, 2.44880145526125, -0.4580327882453403, 0.5912384062311654, -0.9679860253991319, 1.0774959905760824, -1.664182052980023, -1.2518600325821734, 0.45919123968969605, 0.5610371520208991, 1.177657653156916, -0.25770359486500316, -0.6438605675304335, 0.5372742540225606, 0.45208059748515306, -1.8106953786782118, 1.6602062207077148, -0.8035116429099279, 1.3215377645204751, 2.3204529668810734, -0.39091583773114363, 1.986372543282337, 0.7559345163992421, -2.5567987023271104, -2.796275571607399, -0.8657192123492813, 0.30247071595232566, -1.2356625612777177, -0.6753047769242896, -0.09435068035368277, -0.7242974322246266, -1.45519220293694, 0.08908398553211325, -3.447060797323007, 0.5918159356062377, -0.7329027231886055, 0.34921833876832914, 0.39486002730053743, -0.8424833673805786, 0.02151684946828515, -1.1711298088049558, -0.452707182895151, 0.44785187970700574, 0.275780104044246, -1.5553204543720744, -0.36174790111203825, -1.1828000555854579, 1.727974684752087, -0.3456855813677744, -0.00844227986530829, -1.8148500178842746, 0.3555346517410578, 1.0261077478181693, 0.17667911111175383, 1.8586449461389667, -1.1172292225137355, -0.393250222359924, 0.3790645136751142, -0.3744156686008161, 0.12125678416440441, 0.40934389776628305, 1.1862030685822131, 0.5646963013736802, -0.37216350838383017, -0.6755860523842551, -1.120554306148348, 1.4793396552883573, 1.2259242497796043, 1.0210282623355926, 1.8086715242850058, 1.988737042424041, 0.4042924376462574, 0.9531056331125289, 1.1161799033005253, -0.9986449575009885, -0.5771034896179178, -0.13480543842136364, -1.0676569723830538, 3.2076096255854094, -1.3744218990673311, 1.3904235175844026, 0.43283978955181546, 0.771058858199303, 1.7757781203126959, -0.0647839334195782, 0.9096285358119892, -0.7341883780354523, 0.5127272940254565, 2.5505918848281617, 1.7089765915236406, 0.4817107795898186, -1.173633140101378, -0.31229644559673997, -1.2685660768732132, -1.8645941476418115, -0.7590809901142405, 3.6699075898765745, 1.2339005355700157, 0.18609672395366003, 1.409939903849009, 2.9656355475301006, -1.2609797631266368, -1.6925145815966722, -1.1651202807198733, 0.7603522908076328, 1.0251058437285956, 0.13970756450790897, 0.4891527756211929, -0.8788438653474709, 0.1967116744930205, 0.720685639777609, -3.852677369034468, -1.8927127928060095, -2.5039641260284595, 1.694293053625539, 1.3360258952675792, 2.5600748765325534, 1.9795780795368076, -0.15699984436858672, -0.6664506282415978, -1.7096562276783127, -2.5237934156810833, 0.6259189145326215, 0.02203997599789792, -2.433184393574381, -0.0512313779408099, -0.6822432064887609, -1.267938621347882, -0.5595770092567874, 0.2836481482625902, 2.1867033528552025, -1.7211545312522445, -2.546835589588153, -0.5211227362237142, 0.10775132847316524, -0.3312268301247688, -2.6320374798409767, -0.4089786754885277, -1.4328193332428922, -0.571603322008291, 2.1260227238522247, -0.5888705965726077, -1.019185953364217, 1.2598816904088506, -1.2406780628475962, -1.7576257063647114, -0.23827187762851815, 0.4825824232482419, -0.5554577910760521, 0.2522001089291143, -1.443418151808713, 2.799768425125347, 0.10252638905326997, 0.5041326351164197, 3.1203722180119917, -0.22689212945703469, -0.27265480297027217, 1.2227854445017954, 1.601113414021214, -2.895794901267979, -0.9653991125735619, -0.0465453005432621, -0.8877659560883, 1.4529299154880626, 0.5649854104533508, -0.721197659679447, -0.6086458752994969, 0.8604176434548882, 0.0641449854888208, -0.5890525912720672, 0.16802023490765053, 0.9038119618774114, 0.47127906754296955, -0.3629493400825938, 0.8411469678704008, 1.1887142053323023, -0.7324686543456209, -0.5608857250340411, 0.44308513893305385, -0.6950841496345828, -0.6025622623236117, 0.04063419696126999, -1.361795918149562, -2.2648296363592064, 2.23653706491593, 0.3180509053853319, 0.22197922072990406, 3.370286308587374, 1.6288553138618487, 1.5963960257666923, 0.766671316538059, 2.8404779920418055, -0.3586707832725098, -1.0475142254632284, -2.080320079437236, 0.25164423457817064 ]
[ -0.06258320825262367, 0.13709831423931756, 0.10315126389116008, -0.05192710705698931, 0.050726191576715235, 0.10666261389219235, 0.29613165877282277, 0.11055554536701573, -0.08294118190113356, -0.00320704232003563, -0.0676192936121019, 0.19966326190311087, 0.22408308559827492, 0.22682279428039906, 0.15984536115445677, 0.2229554470150898, 0.6654141281394587, 0.4183956803019815, 0.2864351946287604, 0.09154605641946287, -0.007742479466156416, 0.38236715714301517, 0.34190049430214464, 0.19065654109062685, 0.13203505673990043, 0.05293494082534489, 0.37662389802139934, 0.26451080951993544, 0.29075047602136517, 0.22359619603760367, 0.2602355685199421, 0.17110825464063606, 0.2191542684687792, 0.23058263537608942, 0.4014310210123705, 0.644874825565398, 0.7438927871906735, 0.7736668423148026, 0.621781120474837, 0.6397838690363075, 0.4343224637689379, 0.725474365518984, 0.6741698232967827, 0.6375399586726009, 0.492341275434559, 0.37495845700753877, 0.3210314015082715, 0.36256251119476934, 0.40847430532768075, 0.4571970625247359, 0.4725646892647294, 0.3821061800299037, 0.5888562673587039, 0.35662593796959824, 0.673167360272509, 0.5720248268541183, 0.8519930881916765, 0.7059794631795212, 0.6057559854947264, 0.6308430480460201, 0.46846121896884124, 0.6583982629343117, 0.6321002924601414, 0.668163775898089, 0.6676951645272747, 0.8451925525893098, 0.6101150415012516, 0.4728368924051628, 0.3898214020421815, 0.38367035926736703, 0.7452696131361548, 0.417440334107721, 0.5381679154785453, 0.6513253534512418, 0.7749370902216778, 0.5771196949389851, 0.7146423984170186, 0.7939204325739959, 0.8713169146070805, 0.5379207835215114, 0.40800704182336234, 0.3844210803113593, 0.39879114384405767, 0.617284180577995, 0.5553677638444202, 0.7787816269312893, 0.5058190278630343, 0.8166612198598445, 0.8069176683581788, 0.8875371578185108, 0.7858402071006312, 0.7690350525307772, 0.8039641058898319, 0.6904997604344967, 0.866872481685887, 0.9327052320326094, 0.9883275474097608, 1.1198673586710401, 0.9196886125890377, 0.9625931140230998, 0.8438445153732267, 0.7506063036400209, 0.7860923550688373, 0.7601059696625747, 0.8745321633740378, 0.9097782988689351, 0.7007436603748908, 0.5918396787756404, 0.6154090417920223, 0.6828899936142678, 0.5338828241966876, 0.582518189332221, 0.3883005631890035, 0.6179294302838486, 0.6823037801052083, 0.9076342783482041, 1.0404194284822348, 0.7588482896269952, 0.8767690028371848, 0.9661074130540982, 1.1740528857215256, 1.2376979792480458, 1.112927986620691, 1.007058675594683, 0.9706799561253263, 1.088608833622063, 1.2385639271304885, 1.271683727369736, 1.1505986452001817, 1.0479548526787232, 0.9744860316189308, 1.180986968169297, 1.3071517917235038, 0.8893104871412874, 0.7966750105633358, 1.0273176423061454, 0.8089232565643472, 0.8079086127374231, 0.6544299452569164, 0.7547585706658846, 0.7244967408674873, 1.0016645576264631, 0.7921195844333857, 0.6193665153831935, 0.678662282110469, 0.9541879355046381, 0.8993762326194368, 0.9470314827619177, 0.9377420027722675, 0.7499306764913816, 0.879146818768741, 0.650335448638186, 0.8545021790488369, 0.9834493170285611, 0.7276843722541979, 0.9163872772350357, 0.7906171288753734, 0.9221353631657825, 1.1563059131837718, 1.0327129105206638, 0.989883435810002, 0.7664738501181493, 0.9754956182571657, 0.894893657376987, 0.9249737102360766, 0.6813705559521837, 0.5874470594656308, 0.6026718801879763, 0.5770227668019892, 0.7389052008308417, 0.6396613205303915, 0.7709946556474033, 0.7650089784677403, 0.6626665469398849, 0.4501661318194478, 0.45007824163855, 0.34744403055284717, 0.28784672764231867, 0.5118904109494852, 0.154808784304706, 0.3239958072346891, 0.19782889346417012, 0.4947185771572115, 0.3395742467595825, 0.5518914262337796, 0.48009744832247747, 0.3666623245331619, 0.5148143392743456, 0.2997486403158338, 0.2619214076562779, 0.2921323899025675, 0.35071746358140804, 0.44114108805557173, 0.4756231701124712, 0.43819409940880166, 0.573559410830539, 0.29358798228210836, 0.5375013202590224, 0.5165819134921678, 0.31885209679574034, 0.18538856343103155, 0.4975981782039953, 0.3359824648971761, 0.23288659883850044, 0.3123234702186213, 0.20612585799512181, 0.24744743417779674, 0.25333064430764807, -0.23156745727254774, -0.06805753507068527, -0.39458754374246385, -0.24381771944013203, -0.35637889268882117, -0.7617491833780745, -0.5080230131087744, -0.5549736380431541, -0.4936041437075228, -0.48068081539396135, -0.5816629416560399, -0.33904104470704605, 0.0553483908795957, -0.3115256312472591, -0.4147862893438817, -0.28257669613087444, -0.3954680275440368, -0.37548383341991814, -0.5294998147372263, -0.42933126644311853, -0.5345935216975125, -0.3219792890497068, -0.6905602303386525, -0.2071491022041844, -0.5605741080710744, -0.5104093076764122, -0.5727705552196192, -0.4297995960617943, -0.4370273001948911, -0.6284237607752243, -0.5737603428909019, -0.47832867774237564, -0.30248097590453515, -0.17105572780210798, -0.30232748422000416, -0.5816955467435693, -0.4747266838109251, -0.7352214911850121, -0.6487013345323878, -0.415855592943454, -0.5250783763681487, -0.4585514396032392, -0.6366833083888531, -0.5412972076566351, -0.407771336236749, -0.3334816527585544, -0.40326661227583915, -0.11114848605995079, -0.23992556077729896, -0.1867544706771657, -0.18464468880092078, 0.03006670375070409, 0.29374794333389154, 0.2168463422269795, 0.03676345769906089, 0.23745152601078487, 0.4000766365921343, 0.34168039954790946, 0.3809810031191015, 0.3574821288896099, 0.2315859810450281, 0.6280970031312276, 0.8180577946871428, 0.7707040402888125, 0.6395645290647338, 0.7409836729894265, 0.7454311889791033, 0.35945524570623133, 0.41870008731408004, 0.5448516392313377, 0.5658186729370007, 0.663610654980644, 0.5353410835820195, 0.8903944060623795, 0.4837153562270325, 0.6949029746884493, 0.8012522568324589, 0.721576170948421, 0.7571101993905203, 0.6174777272401343, 0.6426185647933959, 0.6447828551400624, 0.7371462592077379, 0.6939244667374814, 0.6872355381498919, 0.6436740695800743, 0.7263570167144552, 0.7770534602884595, 0.7613575575553475, 0.624182696320799, 0.8321654557478948, 0.853976919689112, 0.9658976551713344, 0.8041375207230405, 0.6244473065578849, 0.7736851762062944, 0.5297737160753829, 0.34801075678216586, 0.503140017309099, 0.5284227038063258, 0.3710858819928412, 0.468905751813638, 0.5845405664948297, 0.5265772125217884, 0.7250839005935151, 1.0810663255636177, 0.8120218120991116, 0.9737697643743932, 1.0698603825298334, 1.213132383080359, 1.1807676777447669, 0.9817741472381794, 0.8779116586740738, 1.14869646211278, 1.1672659593996095, 0.8926539584250625, 0.9519013182590491, 1.1873534824237633, 1.041225276744322, 1.0662209080123208, 0.9712192813523344, 1.3083685384325057, 1.2908243520112648, 1.328583054673545, 1.5547863251534613, 1.361712354754764, 1.398395879851245, 1.6496531428324883, 1.982413145850026, 1.8967084385410993, 1.9638511977734274, 2.0162748097201155, 2.144112712157008, 2.2974503096741157, 2.2024848411701448, 1.957709941576153, 1.9336711507458595, 2.134254522178251, 2.5145400714808788, 2.170496094241387, 2.309232534581368, 2.486988587436545, 2.4277656226975544, 2.51082544630067, 2.4503466161756955, 2.418101847243448, 2.470606355034692, 2.3218746851990097, 2.5340782724196274, 2.9395835096471705, 2.7005516797211913, 2.905506421709342, 2.87886877402153, 3.0136201083223955, 2.878704893609559, 2.672754967959418, 2.5153557874135277, 2.442438271689653, 2.292969938619238, 2.1302053265381895, 2.1634432530813434, 2.141202385781653, 2.1534122946817327, 1.9611732449544856, 1.9718612755627172, 1.9458376415146668, 1.7122477075024365, 1.8058158555479238, 1.8413739934930082, 2.0628665245700843, 1.9663483185365915, 2.1270512352087776, 2.195162622604242, 2.210234450413567, 2.342051540782127, 2.5045504771492175, 2.3939186750905286, 2.481973539625426, 2.6180459620557794, 2.600414267130387, 2.40046296657214, 2.3245438319243097, 2.6377198762542626, 2.493949385827485, 2.545669794965045, 2.4597894034627608, 2.60623578131737, 2.166784525399158, 2.353836376263083, 2.4722657178570238, 2.474400307681133, 2.3840605723208874, 1.977561303324845, 2.3005218377788395, 2.6069910808369094, 2.212682667685423, 2.2819130496942064, 2.279804493048113, 2.59264688317439, 2.4336111815215546, 2.2373827460283398, 2.6755175056536356, 2.4230545520658135, 2.238751483520727, 2.2108993139139526, 2.218072570493464, 2.1994024856875747, 2.2400689345724625, 2.121187867600802, 2.2921942281991763, 2.3112719295990245, 2.363828077230663, 2.3775846873856907, 2.2039265461608526, 2.443838972262979, 2.268260328194748, 2.1841526583464255, 2.2308643087671394, 2.204294370105011, 2.2243327035861897, 2.284455399374663, 1.99861806033533, 2.330382130736839, 2.307683761310062, 2.1342351727099325, 2.170479685745401, 2.006241902313154, 2.0361977711708867, 2.0457946844653168, 2.190601657138961, 2.2129606304708, 2.2933289963217294, 2.162231818674409, 2.2635906057720745, 2.3036813168460424, 2.2472321176122656, 2.382711858481416, 2.4417569902489866, 2.4146944024501944, 2.5876634772203198, 2.4315227341907493, 2.6866023818713125, 2.776042333030275, 2.5837007865236212, 2.1719775171733327, 2.340159194101658, 2.347024177394887, 2.1527446701085284, 2.3317322842432255, 2.1507087457928757, 2.008212764810375, 2.2293398071530484, 2.355912632260684, 2.3260504637146053, 2.5904671733681375, 2.391174797442413, 2.5740595172543252, 2.2727764518743614, 2.6621060296023993, 2.7967371980477673, 2.6209877357598734, 2.648516578211476, 2.640409736996064, 2.636846672178311, 2.6780432556207487, 2.400010398555221, 2.441354226768422, 2.2871629025476548, 2.1912632020242286, 2.216527207128432, 2.2478798227674255, 2.28518756751996, 2.1201167810733237, 1.9743595374761582, 2.0929342385045704, 2.2507837288757337, 1.9438269174604834, 2.1378837439897436, 2.087919405320698, 2.221380026598014, 2.3744938680528143, 2.4447475254429842, 2.225717334275403, 2.153655444635607, 2.0187745020189363, 2.0081802325238307, 1.9890638675857246, 1.782246929475679, 1.5989225876633693, 1.5012489210589541, 1.404083844178148, 1.3715672699511596, 1.4314174997510942, 1.6484519762985423, 1.522974761678485, 1.4901373854410949, 1.5117549573433908, 1.7095695019437576, 1.6838383644275734, 1.7758684123008546, 1.5468146068134032, 1.5327144311443734, 1.6789443308812557, 1.5210643165028734, 1.6891778222635403, 1.6418415515367681, 1.9601272560821907, 2.0937562299370738, 2.0575742298346977, 2.0894382056720975, 2.1132109507922316, 2.2090432684539842, 2.2018854250358193, 2.1294693013071795, 2.0178729269199103, 1.9776088174566602, 2.018151100361548, 1.8604559371159484, 1.9891647265690882, 2.0454890259601055, 1.8596589642789363, 1.9066528968515881, 1.8013019626548545, 1.869633665104756, 2.043212931019159, 1.7049872627244793, 1.8153794010772488, 1.925214241463106, 1.7400616447364468, 1.7952597097205265, 1.9028052135831506, 1.7248943767080527, 1.5549295028642622, 1.8605332840890962, 1.6814298453840133, 1.9095439733039732, 1.7889839007532786, 1.943717035769374, 1.933176283268325, 1.9542803605039312, 1.9456262723338453, 2.092478755588025, 1.8802671178446253, 2.0282322221091738, 2.051997028348759, 1.8111979986030213, 1.6617440454012595, 1.8523943616747256, 1.9306498946118378, 1.9290903033635771, 2.1962388864431297, 1.9931742174203195, 1.77200455047881, 1.8618965376016914, 1.9342175719738686, 2.124103586048443, 2.2351749640945173, 2.287757151584214, 2.2616999481313895, 2.334652730728959, 2.2993813373167185, 2.1892366612448275, 2.1780873007619013, 2.0059988616126945, 1.8606656440421694, 1.8436255584149468, 1.9066197668852822, 1.8455668853763376, 1.7070471750303264, 1.5698210746536114, 1.913425277916546, 1.9297068790533438, 1.965268901227918, 2.018946388760614, 1.9269998874041736, 1.8240110194586154, 1.866761044884748, 1.8541310281083339, 1.8426059345695172, 1.8080071896251741, 1.8379157512241078, 2.0989416767007985, 2.1272914782077352, 1.9562979138741952, 1.916702062072175, 1.758706471788077, 1.7683286021143356, 1.877064942419916, 1.8351070032450314, 2.035069258641794, 1.8422007279107897, 1.8131617755966776, 2.017245176503053, 1.9342653493407937, 1.9832659725096156, 2.0959626142668486, 2.1026709806848722, 2.1715271005376717, 2.0629367808199963, 2.061189688906815, 2.198200421392536, 2.2180514189465943, 1.8957083949447928, 2.05612960888756, 1.9957611522799035, 2.021400171447836, 2.067151031917012, 2.374638211998991, 2.481958351066216, 2.301559359821601, 2.354428006605707, 2.4214460539227534, 2.2920565051287682, 2.300425842356238, 2.159478060771702, 2.070517773183671, 2.3185236863409813, 2.193454773939078, 2.269643060670008, 2.246223233961978, 2.16220732125059, 2.133544144132942, 1.9486045895297963, 2.1113317228643966, 2.098791370902692, 1.9575997368710953, 2.228360021416665, 2.164704564105824, 2.20819515629805, 2.13906604265519, 2.4540743705578376, 2.26418578757944, 2.3593972248197574, 2.38195494955099, 2.372828411209908, 2.330782601353468, 2.315137318082591, 2.4853056162223837, 2.2732100221192146, 2.4064345580144098, 2.6274466946919626, 2.5769528585508463, 2.536570005765062, 2.6739998778557172, 2.853856793712457, 2.6095980867690085, 2.4977434294403342, 2.679740093420429, 2.6065949903129377, 2.5604643414686254, 2.7584448046418375, 2.6497945705950117, 2.977815844525094, 2.9077091284283836, 3.1028620427469384, 2.9826250236952454, 3.1637782093156583, 2.859832835706808, 2.787155221697306, 2.9216564414456565, 2.9950792380066273, 2.5754153312041823, 2.7293576531470074, 2.4134408657872077, 2.5372339289518, 2.4947031754210323, 2.740994397731481, 2.434307733860895, 2.5321148481595626, 2.790051259687102, 2.564852955548709, 2.637842532642569, 2.550262116310072, 2.4909919220089987, 2.5710901294185797, 2.3428112741360114, 2.2471483689531544, 2.163336615022136, 2.1508424254493286, 2.178478927766266, 2.2608390482141925, 1.8928751632102387, 2.048754679640725, 1.9672660998069917, 2.063982337856309, 2.2998349409953627, 2.2429740193084506, 2.128540725252477, 2.1351955942486986, 2.0723613598483923, 2.005522207735264, 2.0582421764404244, 1.8794440420604526, 2.305426478571511, 2.293403892948158, 2.4740036568385047, 2.21360190962759, 2.1736425854796653, 2.2136944670909964, 2.3033804844456305, 2.205922274041087, 2.6024665333076458, 2.3455729849169487, 2.2304466475897846, 1.994992556034414, 1.8089646032243367, 2.1872321416219123, 2.255875019351525, 2.0609885687681384, 2.117167077739912, 2.1661122412240137, 2.291251721262604, 2.15506639508336, 2.1238307274433135, 1.9804156649569515, 2.270453876303243, 2.2412296394194686, 2.4075622475770153, 2.420904937674159, 2.124596734214352, 2.3159324770488294, 2.509254361467576, 2.343252254648203, 2.3369659626889336, 2.6279358183454633, 2.6588830697690855, 2.444110559655756, 2.4178706403747343, 2.4882237967143634, 2.4205279079384887, 2.4552998880026897, 2.4147480240234205, 2.4369211397565587, 2.633824325564665, 2.3625947815823722, 2.3702235530578273, 2.35034463442358, 2.6282446366435415, 2.6626524391063087, 2.4658979280164073, 2.4827379230047, 2.377049566987218, 2.5593980155276865, 2.352660953560479, 2.338690379613086, 2.549730508677316, 2.4784819593433287, 2.599301482320424, 2.648858105505464, 2.7522129959985002, 2.534533589387367, 2.868637465664497, 2.775563525256604, 2.752986217988071, 2.384532210720512, 2.3886222014936864, 2.2539439189228254, 2.3661280723115308, 2.452351136885868, 2.503249799185792, 2.475970815195641, 2.696719507942297, 2.540891584226493, 2.3156326807243506, 2.609475291773564, 2.5943308786167347, 2.603684421887666, 2.5884053473704465, 2.8701880700594002, 2.5979419349444908, 2.502252747690959, 2.3386729946506017, 2.4407625061511253, 2.4119682254389585, 2.711128751782363, 2.58355712801039, 2.5708124170686277, 2.3158776959322513, 2.412830876074157, 2.35437051351138, 2.284775545281965, 2.255842546242023, 1.994829056154676, 2.2340088383136845, 1.952369704563241, 2.266366845564142, 2.2385261760898123, 2.2190277843332518, 2.406611567196595, 2.2729122090797964, 2.1017786505775407, 2.3005214107422765, 2.252653347464434, 2.112223609756326, 2.421352801485095, 2.1217373149580894, 2.1233060471388097, 2.3150138401738642, 2.0901905037494317, 2.262410394376082, 2.2468006653251176, 2.2540805133584056, 2.219630080645008, 2.1760001698036695, 2.215273518463629, 2.055298875211193, 2.2564834143851162, 2.291664006390065, 2.3583320835179458, 2.4327550329148506, 2.602761265089481, 2.6282155693258673, 2.758952514137572, 2.722250186661012, 2.8402040437803246, 2.824792409671712, 2.820183701646302, 2.6559221677561857, 2.896505069769121, 2.956327155450115, 2.7957166863591194, 2.685022894999193, 3.0543325788723608, 3.24739260074001, 3.000554516400509, 2.8276335165273223, 2.952049861377817, 3.242867817690852, 3.3171126936347957, 3.2149681011563302, 2.863168620086911, 3.1301633490746386, 3.174865730477111, 3.3418467590560454, 3.398829211658935, 3.486941605973175, 3.137190936483396, 3.3019403712847826, 3.3172317334205648, 3.4326044096794006, 3.1178794371946057, 2.927556913847294, 3.058197921274005, 2.9647067231825246, 3.0644573417466865, 2.849938216153534, 3.1566705468950684, 2.9861211990910324, 3.221757647090458, 3.2180283648999812, 2.9693998644912316, 2.6945963675366147, 2.857294452455681, 2.9674712681513635, 2.982142146648206, 3.131017999213366, 2.9646912318976915, 3.033331788904279, 2.998471156959912, 2.907984642359621, 2.9918932868819854, 2.8724915037123657, 2.9411649431894484, 2.898385616341798, 2.9250983989845034, 3.27041386404668, 2.9769480059824316, 3.136460385005072, 3.192108160247811, 3.3617958110173034, 3.2671558055023646, 3.2820564653601068, 3.2845803750828457, 3.3227390551733795, 3.0732570440216875, 3.0272079292459817, 3.107730198780481, 3.2195333197602536, 3.3240907370306347, 3.314647320512835, 3.163476751909963, 3.2418782934539276, 3.2810281558125296, 3.242861128938233, 3.3065156676525973, 3.2671592518481964, 3.1929306500638717, 3.124704901566011, 3.2393052701561746, 3.5485839867075324, 3.33247777280579, 3.477889326438051, 3.4487465997856934, 3.426413228863888, 3.588457540628642, 3.463572344123184, 3.7257550394607186, 3.8748725120454086, 3.8340223389059647, 4.0402228847031285, 3.983121633413962, 3.988828688663293, 4.025780984567166, 3.8535532150537906, 4.232907427993888, 4.258203292018246, 4.18732038955351, 4.455668768922717, 3.937072037609651, 3.899636488246331, 4.1667424763401995, 3.991163842426017, 4.062816886335042, 4.138596442476308, 4.064899007012648, 4.1441322930627225, 4.324656012386172, 4.091305996225475, 4.233204937645279, 4.25245344904598, 4.135500258407033, 4.297428367107885, 4.234469275614525, 3.990028946858671, 4.1727979919365925, 4.163093147993886, 4.103937999216273, 3.895638067791569, 4.48392912186685, 4.286299857985727, 4.2611947678639535, 4.444572345954945, 4.486723508356548, 4.327210739655457, 4.5533199479768, 4.56396661337881, 4.65757515194158, 4.339673346754102, 4.310749821576267, 4.266287362904754, 4.250293435587718, 4.303723959650904, 4.0001732626759665, 4.090148225586728, 3.973906571039168, 4.255693055268014, 3.884812533706756, 4.055942904712678, 3.743946133531987, 4.051502093501022, 3.9350095534929257, 4.158380872023414, 4.049779271139392, 4.092040070968558, 3.9580017202326876, 3.9047603146644847, 3.6699071071146148, 3.7521818145377015, 3.84420607274592, 3.814836226839361, 3.937915148018607, 3.7946960128070306, 3.704072068518512, 3.4882102658314844, 3.4584912119724516, 3.5927168260506, 3.417968871272624, 3.444742828624647, 3.650310166214933, 3.634940227478908, 3.8085554931754464, 3.7981138453300596, 4.032416164309728, 3.987121862036297, 4.163512464310005, 3.6171255716539745, 3.7392549291461017, 3.701216848586676, 3.4585121456001007, 3.6388008934741642, 3.753612957477573, 3.8233370049959117, 3.986625921024113, 3.854945852394139, 4.084544882084929, 3.6570442331296027, 3.5255202095835885, 3.5654824459827577, 3.813612297393771, 3.6677559225738556, 3.6654796648471923, 3.858250638378959, 3.595388323880281, 4.023380905762882, 3.831968689296932, 3.6321913917553137, 3.7366569327799226, 3.92434033191001, 3.715469414150478, 3.6553765816526735, 3.783912966831259, 3.484320159270019, 3.3986862176353716, 3.2985067355376017, 3.4259005661436333, 3.373400973364782, 3.3393552657094507, 3.3758249312993955, 3.0669230347582888, 3.057092149107524, 3.1775651901979107, 2.919927468222385, 3.1914549172018822, 3.0427416798032114, 3.127386546472668, 3.237942044765081 ]
91
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Red Noise" ]
You should focus on the underlying distribution of the time series. You can start from analyzing whether both time series are stationary. Then, you can check if they have the same mean and degree of variation from mean.
Similarity Analysis
Distributional
463
null
Despite the noise, does the given two time series have similar pattern?
[ "Yes, they have similar seasonal pattern", "No, they have different seasonal pattern" ]
Yes, they have similar seasonal pattern
binary
[ 0.03992208368055656, 0.46151767020610357, 0.5758277299211839, 0.5345550300643667, 1.3537767629164241, 1.1479907424203983, 1.2463267817806174, 1.6071967586164253, 1.5718166818582553, 1.6758207380636228, 2.133366011577406, 1.582907967593777, 1.5413660098326198, 1.5599286790696703, 1.6488217933519407, 0.9995732626665212, 0.7455248136502396, 0.8339309676259212, 0.4163677797170313, 0.4336429958702798, 0.3831622050055262, -0.13765007299305154, -0.4879187447721315, -0.4272851029564926, -0.49754227587611, -1.223210096114999, -0.9148900204608745, -1.0864712121414246, -1.2026261522094248, -1.262616905417328, -1.1456570594223126, -1.7021486858784012, -1.6180232550408158, -1.696171350926899, -1.5499680853585256, -1.147177050347562, -1.5941757941493968, -1.3396642843457838, -0.7086280240539997, -0.5750278147766021, -0.629501855274407, -0.15159019085853187, -0.012731561109456516, 0.4623566373350724, 0.4169111662109303, 0.8380032701690068, 1.3782302633263297, 1.1677115623876064, 1.2331743329204468, 1.5161152718562527, 1.4167256829572963, 2.052772004115779, 1.6619520895718287, 1.5863572797356076, 1.4527288733369994, 1.7826135880094829, 1.6455367867043709, 1.2491876411604972, 1.3108518383780043, 0.7144637783348511, 0.8514374374296426, 0.6853538439060971, 0.7035484498368079, -0.03276332567400872, -0.37762166358913374, -0.5417066734532607, -0.8626309139525647, -0.5475912216970165, -0.7068806731765322, -1.131896469620019, -1.104714081084729, -1.4455516048605221, -1.5823599132273025, -1.6865625943493612, -1.7030289566753654, -1.9354232764859067, -1.5221725094269307, -1.497616960096583, -1.2222504721926533, -1.2042358298598643, -1.0802074841095488, -1.023594027889641, -0.6179366580185702, -0.2538263811090953, -0.39041998897151664, 0.09902102602474427, 0.36962061982528627, 0.41378199448739267, 0.6619498455012774, 1.0306282498364583, 0.9411581769678714, 1.3954833005595455, 1.2749369752590929, 1.7631151576962403, 2.0805510350963172, 1.4678066504224199, 1.7377104568445922, 1.4405695900685311, 1.7142845480229074, 1.1400997147197525, 1.3456919034691082, 0.9039225506586112, 0.8423532305384331, 0.4633417845257696, 0.6050907086192366, 0.034609346659980694, 0.06934109971079684, -0.3520258251526054, -0.5420276335357946, -0.7140935038325522, -1.1041688641762413, -1.0969601784450584, -0.9951497229767501, -1.5904056875796342, -1.3024447333411013, -1.3054138472003731, -1.8011973033934834, -1.9258923035099946, -1.535454260105383, -1.631201337057302, -1.0404109134999748, -1.2684859054182576, -1.2691568602666596, -1.1470384529596565, -0.4883375367950953, -0.5937357985259339, -0.23336983566770472, 0.19171277194305875, 0.14637622797804936, 0.47136937867317286, 0.7040016013947289, 1.055186903826812, 1.2276798623583818, 1.2321193499784342, 1.4274214428191239, 1.4477771782033924, 1.3005810967106723, 1.6864970275741653, 2.0163363676001542, 1.4280589935061838, 1.381813075422482, 1.2601047652946267, 1.4454617100035023, 1.227935344645843, 0.91919646744737, 0.5590561612679578, 0.5365606711790437, -0.030806145414691066, 0.06863295606482546, -0.028796541130487102, -0.6919242335327007, -0.9770586855370356, -0.568792990003814, -1.2017044619372483, -1.0231006432721153, -1.4245343240003723, -1.5389229763437522, -1.4985189981697247, -1.80779125461351, -1.6134175169556366, -1.6890795428689214, -1.814281002658316, -1.385999013400614, -1.3775086485390002, -1.1984711526934042, -1.2256544198807977, -0.4602689640660306, -0.3810132002769656, -0.12909793929721394, -0.14151211524644614, -0.18298535596360646, 0.79312809859597, 0.6211668161422758, 0.7005402851348371, 1.1318769151784316, 1.4571008894569808, 1.3673188660853322, 1.7457283960376198, 1.7919332732142899, 1.410736377250755, 1.5061789222204924, 1.8112855273768225, 1.0204788259246096, 1.441964021977702, 1.0621775676271452, 1.0998724578334034, 0.9559772789030204, 0.7423149837777531, 0.4838356153180684, 0.14211512365618076, 0.5792319715319726, 0.2509905738555621, -0.5955727976020924, -0.27940843661807224, -0.8952950699009601, -0.9912044826051701, -1.2089726576254543, -1.4812372005025836, -1.2758166223750855, -1.5383281345492028, -1.7153535679475158, -1.901875275969137, -1.8045068670578788, -1.9031443060615845, -1.486873623160049, -1.6103523223821603, -1.2756843225600527, -0.7732212668607196, -0.609022951788948, -0.6383130705869573, -0.41835530686758393, 0.21477226222528747, 0.18622903580959563, 0.2579921394051431, 0.27271068997144615, 0.8587816521740873, 1.1508125918494108, 1.0418999741989752, 1.3840646185933603, 1.3815491548822112, 1.5139187284567452, 1.115522713604196, 1.5956219840284127, 1.8246811683979864, 1.4594954070439052, 1.516379581238429, 1.2416693213436014, 1.321304844443394, 1.0347994263194544, 0.6954364800983678, 0.9355529240294703, 0.6258750463942112, 0.08047603002059586, 0.05795386193823523, -0.17626774058821537, -0.39119674719133934, -1.0829880940900833, -0.75093242195675, -1.2533708739697642, -1.3731186423381156, -0.907478341673052, -1.476625697162962, -1.6824128725062817, -2.0790590470101313, -1.3568805412145308, -1.8647595342627847, -1.722200780726449, -1.4801217403508966, -0.9918174971686013, -0.9536617846898796, -0.9487161714611511, -0.6441616185163309, -0.5990479904546221, -0.21365866508693726, 0.01577179473422256, 0.4375279876214433, 0.6745187576728174, 0.8066090170643019, 0.8465100594127684, 1.2583022740022596, 1.2580955276117338, 1.1985885531017717, 1.441681737605908, 1.6131372727384627, 1.8170674719312512, 1.6011579577265846, 1.3628475306879646, 1.5475732207047344, 1.4566730786177093, 1.3373740183291418, 1.3218146899722023, 1.1542385304555358, 0.6233253170925721, 0.3943326100524992, 0.07353452018904391, 0.1791587152019477, 0.08611463738505842, -0.5052326126808602, -0.7193451245590371, -0.5917891167189773, -0.9786568750891461, -1.163400689498212, -1.6322095526586857, -1.3710052930741243, -1.7721703202752954, -1.8578565428786118, -1.709250449913597, -1.7298380176003747, -1.59432093698998, -1.7414352975381437, -1.1327578656534834, -0.9411406330424383, -1.3726486344905786, -0.5823713097893422, -0.7179422121637933, -0.14999249733095826, -0.09356090933507644, 0.16915582271532753, 0.3660604212849355, 0.876321557218804, 0.6028549086627453, 1.1705094182057156, 1.4443106583683585, 1.5154999405530971, 1.9551844844472552, 1.4696985770861797, 1.8175481278299492, 1.6197116300473942, 1.8663705469587593, 1.5612951515574267, 1.3940356940473482, 1.6092433885580084, 1.0964923437485967, 0.7327623546446398, 0.7101149275010888, 0.7175796800150672, 0.6394129286176086, 0.142524862839855, 0.14058691119332004, -0.6353331290072443, -0.68499898536369, -0.8735961814642904, -1.040387192693362, -1.1798769329695258, -1.2114195300193686, -1.56179210210454, -1.5358673832107113, -1.629155890691002, -1.8261418109857606, -1.6484459171272858, -1.6034448313861316, -1.5221024319928596, -1.3643637442812737, -1.2070690644067736, -1.1332754486088883, -0.5938672679425285, -0.865244132443339, -0.5445968723000689, 0.3953396385351098, -0.12496893210466707, 0.05334386166259969, 0.705328961405895, 0.36506885152201346, 0.9383347010592772, 1.5977830303099645, 1.017162243063988, 1.0581267159209484, 1.2510695815185255, 1.792860495229199, 1.864953677077826, 1.5282277874060142, 1.7222761665073756, 1.7837057969149535, 1.7500366539953274, 1.1995912688974657, 0.6173933220058132, 0.718643543612399, 0.583177506692837, 0.38776886378717085, 0.16333744505117725, 0.18162307656199245, -0.029408345337003816, -0.5545155011537078, -0.5249320849982702, -0.8811711493292138, -1.1269272380221735, -1.1205804966512036, -1.4208720816938147, -1.1256315751595711, -1.892945432538737, -1.741068033672581, -1.66008894778925, -1.5076980412827377, -1.2677138978429099, -1.4184505570865347, -1.5591980830168193, -0.9393996805980703, -0.7656989311488981, -1.093693185828605, -0.4792034725505077, -0.559071549220354, -0.13127355098884444, 0.06375830561029325, 0.6434640071227096, 0.7316777525736342, 0.6623188361102814, 1.286357701901927, 0.9900750361487742, 1.481273821041564, 1.3597433052305805, 1.5232245766162367, 1.735925738770859, 1.7421188632340132, 1.8719653572348427, 1.5195798368619122, 1.4950034318078693, 1.2123220191310125, 1.1738403674394355, 1.0379008609232985, 0.7220129560132751, 0.15628713504995467, 0.34732439209047533, 0.11175581060859127, -0.3402320224266159, -0.6996254051331661, -0.3763870869700688, -0.7873214854480852, -1.1260004413467795, -1.4784118834707252, -1.5586805198014275, -1.2464515509331975, -1.5589519984774762, -1.7412307568300183, -1.5379372915302782, -1.7754567407977278, -1.249650900681127, -1.1824222413863124, -1.417509830991526, -1.2920235141865875, -1.5063645765367706, -1.07389277043449, -0.8232108268972065, -0.2938079887342272, -0.14456677868963827, -0.10511691812424026, 0.3473824261053841, 0.7354724727522529, 0.9568125516441672, 0.6694319256889552, 1.1987596842254418, 1.0958665608111988, 1.6708216113984238, 1.7324716786246286, 1.4465560824995258, 1.4877133445913149, 1.5273469751534665, 1.1121057068060083, 1.5385600082820343, 1.2931450257057575, 1.3884611262067814, 0.795191757581712, 0.6891800671491082, 0.2919531968115532, 0.15960834944186567, -0.11664815544258456, 0.07559157217266176, -0.5038889844402064, -0.572025593446351, -0.8925129326481386, -1.2718015751168998, -1.2307337047218079, -1.230095151551526, -1.7146260895800454, -1.4020180653323084, -1.7901633427917516, -1.737566872609155, -1.51950048562145, -1.7072446210065022, -1.48133916466038, -1.433350077817082, -1.1959615852678558, -1.5225388905624846, -1.2138738300737755, -0.5076448487401793, -0.19243101310453992, -0.34220084747535073, 0.034375186257918355, 0.38357997571084923, 0.6975963685143508, 0.37544309330063647, 0.8086229678002852, 1.102489803191403, 1.4671026767067594, 1.95446134431669, 1.5054851145477495, 1.3318943629157896, 1.7204718311278402, 1.8948827589408146, 1.6070940979067854, 1.3241052757089242, 1.583873910148026, 1.3812091233696262, 0.8720549743838858, 0.9586388914964168, 0.8674870986944225, 0.675402561257358, 0.18707144988812174, -0.11432377056537762, -0.03938312358903423, -0.7627365882384094, -0.6574052630253269, -1.2271583327429152, -0.9271504002865147, -1.3538345562017977, -1.1818734809021803, -1.4391045225187553, -1.8500218851862513, -1.3531418033542955, -1.324487730395769, -1.4190020794543072, -1.6734163912455475, -1.4744930375537557, -1.245318862897198, -1.2482370921701773, -0.5777632809691082, -0.6759575024504271, -1.0185839949982192, -0.17262577332329193, -0.06742258830651146, 0.22988083463169826, 0.4084150740721401, 0.8702190979722024, 1.1438319532009302, 1.1673617102206557, 1.2093207990087957, 1.407263097835244, 1.5266713331026598, 1.4360019215293178, 1.750904407698074, 1.729802654001829, 1.9125438783761324, 1.7869060516752124, 1.296309501962177, 1.4635920023887041, 0.9468535896333978, 1.0887397328219508, 0.637859435705197, 0.31186245885377123, 0.3364951999859878, -0.49662198090005283, -0.5549403617907378, -0.4787780953593765, -0.6555783931575826, -0.9599392009063586, -1.3964871620236137, -1.4149410099965163, -1.3163668334399772, -1.3908318288863546, -1.589870165005454, -1.3998072402647057, -1.5603745506101623, -1.7619656819008174, -1.6057382505528874, -1.733298793014032, -1.3454965546904916, -0.9434807817082768, -0.845237605713551, -0.49668840809456133, -0.6153742434913757, -0.05108451390265756, -0.11742930110886732, 0.4588166467678674, 0.39977912283639166, 0.7763605729986506, 1.1467392286272302, 1.0111049687235472, 1.2684577941187776, 1.6306100375909243, 1.4641062408009358, 1.3116182261606233, 2.0548371189992527, 1.5469619343529455, 1.651262465613157, 1.7936969777477345, 1.3494229494143706, 1.1458251869136231, 1.2447948119404244, 0.6558243014239256, 0.7549437020297075, 0.6417510718279877, 0.305937325799461, -0.18949270243506097, 0.19468178029699126, -0.344067412634663, -0.3111446772537059, -0.8688465033151771, -1.1943440177069882, -1.143615109956013, -1.3933871867611392, -1.7088698124698212, -1.2700510975197872, -1.7447608654825901, -2.009029435728616, -1.3599282462685087, -1.6752612785890149, -1.6101865639983874, -1.7231855507513734, -0.8732781650162043, -1.3038617250839746, -0.8357747271718229, -0.4478043573564956, -0.31498830598378624, -0.17148477149791252, -0.2566008065852102, 0.16323244974321277, 0.5970320882760947, 0.6240293705627977, 1.0269443317092108, 1.3057418624209731, 1.5193002739836285, 1.2097948457848338, 1.990595733270808, 1.7668868153463773, 1.6396950818563292, 1.8485287872315879, 2.058430236584498, 1.2174710473905566, 1.3469301864447683, 0.7724552008602367, 1.115384805453084, 0.9549669563581009, 0.6596971259133243, 0.3075857184764998, -0.2100897612780518, 0.03144682188337855, 0.005705183700136285, -0.6394318371014465, -0.6576011120333931, -1.267231346640152, -1.049180135032387, -1.381237890179825, -1.5883411922862032, -1.6896528911607058, -1.6842146137925877, -1.561613997063349, -1.8971208540969495, -1.6747530622287172, -1.529185824574165, -1.6328173346003656, -0.9147232750013601, -1.2777865353258524, -1.0496617855250425, -0.8999856497937382, -0.11769005379379355, -0.12936961571263156, -0.18455728789651377, 0.4666584847529965, 0.5228065112479328, 0.7607585155241271, 0.8514562128060401, 0.9612743230621931, 1.345082947129938, 1.3067924083627367, 1.886308333974538, 1.3427574640583135, 1.942396936225896, 1.615495439825282, 1.6641566834446637, 1.702272993857239, 1.3071256904309292, 1.4720447011516042, 0.595137241762427, 0.8051049597807258, 0.5558769800156921, 0.265287714228587, 0.23695105069262284, 0.11488936362455399, -0.06476114377856873, -0.39563603765635547, -0.8057091927767339, -0.8127369182243473, -1.0561583080679224, -1.0645086010135207, -1.2395123451555812, -1.501311282285894, -1.7662171178951678, -1.7618244959778477, -1.7497904590706577, -1.6754250831076314, -1.4958459120156569, -1.3094337322570198, -1.33376608517077, -1.162287256725973, -0.9531919362847981, -0.8797849050666672, -0.7393559062646915, -0.670850431872351, -0.2172467365333696, 0.25967815317573406, 0.2641033766801991, 0.5878620738743332, 0.945474990909398, 1.154352787432313, 1.0092409037788257, 1.5725517047338908, 1.7164077242772453, 1.3499808200937233, 1.4615423303281723, 1.8791252201927058, 1.5900512379648217, 1.1183711355461294, 1.1909406192010823, 1.2972095265376706, 0.9610599302151109, 0.9313206918431333, 0.8185243287394842, 0.8846792831992131, 0.3012981241869585, 0.3331550750505447, 0.16104758817468073, -0.07845149698404186, -0.5409384848971045, -1.2099759917569677, -0.9266096324325942, -0.9881488547727407, -1.3667569732631453, -1.1246438898283444, -1.3922083856850254, -1.5067396244084343, -1.4237059020904232, -1.5588116495769455, -2.072807882895048, -1.5882170561557858, -1.1303703940401086, -1.3826158677718026, -1.0902345284357238, -1.0559589464133095, -0.2730340033652213, -0.06249755423329023, -0.33577807239123975, 0.11374346404894196, 0.1896198622892916, 0.6829800576080696, 0.8838863484464571, 1.1490548648669152, 1.2361642392820666, 1.914205847427695, 1.249701269362565, 1.209325938098296, 1.5348738147049539, 1.3264597706740615, 1.332066701558311, 1.3849429803045725, 1.3205571989375746, 1.2007665300255048, 1.3514267147579897, 0.9751999204712825, 0.8455194331231908, 0.8458715921548043, 0.28469575799862135, 0.1463558366027833, 0.02934005384862442, -0.674239065970003, -0.9987328470371, -0.6768815242789054, -0.8556489965495029, -0.7281756846766055, -1.2712782855157831, -1.2721769702613426, -1.5768676066573155, -1.546161129486209, -1.3046824167968347, -2.0594380225586777, -1.5124771816976355, -1.0935666014796284, -1.3563217288643914, -0.9435935873824388, -1.2325221708702507, -0.921725605271702, -0.6971203026323453, -0.9203759186819106, -0.4730399253902472, -0.21606168054196848, 0.4103713879243174, 0.6576251640340095, 0.7746130561769243, 1.0856293867796718, 1.0787339547740782, 1.5182626074508419, 1.4178466981364863, 1.534735643368067, 1.5436247332693585, 1.7721023956983926, 1.553484281168802, 1.7995095366353566, 1.309016783416519, 1.2131232001548828, 1.4363429248502413, 1.118538787802471, 0.8578740295159167, 0.9182082701351476, 0.3940123886327235, 0.23935762261154103, 0.3170328809864938, 0.10198745236098908, -0.129863367280169, -0.7294993323410333, -0.6408642833214848, -1.271221434943055, -1.4334574608409345, -1.865281685172361, -1.1730511360599603, -1.7597032819802751, -1.6566012643904282, -1.8218759016864123, -1.4732358492996966, -1.624400711890411, -1.713174872611848, -1.234883273817144, -1.4518693960471003, -1.1488918057986641, -1.1974951465899428, -0.8385492744176086, -0.2835153618630952, -0.47057247278056324, -0.1306306688228733, 0.4047470272010097, 0.5272112133116404, 1.2510679417844943, 1.4174184721415872, 1.051930320536624, 1.4848696825324688, 1.6410248817777497, 1.4566089503583177, 1.3272752089787985, 1.6384394642399445, 1.584763310671109, 1.4750047299142723, 1.5590953172155522, 1.1966220596507209, 0.9628899232799564, 1.0353877901854558, 0.8887591811656126, 0.35638432997976033, 0.5444681912040783, -0.2360002969200311, -0.24087775514401585, -0.41745348415836325, -0.7256483811718503, -0.9308090732620015, -0.6449925778372811, -1.3683830528377692, -0.8626128454359904, -1.3863782840131773, -1.5459310421009511, -1.5252335246143742, -1.1350021942297939, -1.8241281993257707, -1.798173296135995, -1.6391298170276167, -1.363071181133919, -1.5658828238625246, -1.0406464808812044, -0.5078092213621834, -0.5990270735053036, -0.4567974454875213, -0.2820867493589354, 0.2645376942365897, 0.16109333525778627, 0.9297893596463558, 1.1691071424360189, 1.03850510938278, 1.1678647687498191, 1.5335813268502516, 1.6745008630409528, 1.3904281738091937, 1.5082815539269059, 1.3756072623366313, 1.7123096435362954, 1.7183885372974108, 1.2347895944583587, 1.3003576473393887, 0.977973391696321, 0.896260882516047, 0.9911599004613707, 0.519824036642407, 0.3772628524355907, -0.12674547742504083, -0.006965925035046887, -0.2953239302016624, -0.6680671354662686, -0.7843996572916077, -0.9184421372386795, -1.3043901761039478, -1.5984854520166485, -1.0752771761060318, -1.664620359777994, -1.6250726890500247, -1.4359987775965872, -0.9287794813998589, -1.8439679798570694, -1.430510811078799, -1.5539579528097025, -1.3811179614110909, -1.2503143215036965, -1.1399886999956053, -0.7115846190515218, -0.7712298178124639, -0.049496517796989964, 0.014866144148938493, 0.3309911383842781, 0.39048453630137614, 0.6368628367535678, 0.9787786370279544, 0.8791599018362697, 1.2066245881862965, 1.2444453017344528, 1.3452545251152437, 1.174903005807419, 1.9031241514231407, 1.5003809433225928, 1.836782015132575, 1.7490100730035572, 1.175437249213468, 1.0808377292297566, 1.64794971180979, 1.2983868400345517, 0.7334001193157694, 0.5664149891128117, 0.1526844164082671, 0.12310575058554434, -0.349825246960375, -0.8513453321173021, -0.937888935198429, -0.8832508728389432, -1.308059616387322, -1.2658892883984274, -1.610413393457922, -1.664313601596693, -1.4164148666941194, -1.581858737826006, -1.6417221780402311, -1.4363730044307148, -1.452970067861719, -1.1626415560792038, -1.4148609293721977, -1.2506614316389701, -1.2411898663364616, -0.8614268604815831, -0.3602838076558422, -0.05868202860533822, 0.11494737700965135, -0.1926905023803773, 0.6223849532148109, 0.26873790703794387, 1.0327558640333898, 0.9775064134442802, 1.3663886759796289, 1.1072546591623469, 1.7256323920891639, 1.2832635247007567, 1.4927661619693755, 1.441272113281729, 1.2683857951254414, 1.5808938702100184, 1.8316046240608803, 1.8798334024967942, 1.2123414276169353, 1.2364730865042286, 0.8575040749906101, 0.69097484707938, 0.2898814597200292, 0.15656051784655073, -0.018309927464795372, -0.482082027331959, -0.6144166659282269, -0.8299617261121381, -0.8543595642103076, -1.411789936373452, -1.361479116444446, -1.0916453553814671, -1.3316968334956827, -1.3507328974749215, -1.6361068899790312, -1.5611338804624553, -1.3734862301018043, -1.1758726151499648, -1.7595160490678552, -1.4834477212309392, -0.7827996914794084, -0.9014233877570252, -0.7631426674479748, -0.6485568139708798, -0.2689083482477882, -0.19508702360957703, 0.7450199255717879, 0.5565419473867956, 0.7713304558382335, 1.105211372011472, 1.363023924341404, 1.516951605253618, 1.6705205267923295, 1.4256371452028853, 1.5541197625597787, 1.7939022201379378, 1.5249561592253331, 1.5838985041808578, 1.5843070465319642, 1.5481415650995216, 0.8915290920325198, 1.2185529645779034, 0.8337457174107495, 0.8075073294022036, 0.5922821132688239, 0.5197517097076432, 0.2257747439577096, -0.0176986616596424, -0.23406470270018825, -0.688812723969091, -0.9485132485273605, -0.9672498351152623, -1.157152287887721, -1.4984722962743564, -1.4571937038214573, -1.612853874558247, -1.8089860602518626, -1.3764492455293267, -1.583900917425794, -1.1105267364450806, -1.7372647128996517, -1.3843672313446507, -1.0993362010355345, -0.6869229833140547, -0.6229334961188311, -0.41370625322314986, -0.4637644338426674, -0.2269705013339049, 0.3115510194357424, 0.2114287209469306, 0.6044258490685078, 1.021906266079824, 0.915911238949278, 1.5996401243301872, 1.661434107878068 ]
[ -0.3142839996676601, 0.368045315652387, 0.6320115740871821, 1.4282641470406363, 2.1768822698394508, 2.307128597681803, 2.762723842146585, 2.551050342041689, 3.097732990664806, 2.8044439023347634, 2.7907470613399212, 2.5426618902904217, 1.9880646885637232, 1.6125360148809693, 1.571437898486017, 0.9430250366166626, 0.5276488920861006, -0.17439990085323373, -0.759127219551255, -1.6530918567687376, -1.8352571146505128, -2.1961230797654268, -2.1309818656318416, -2.624803335013009, -2.5965860673476606, -2.8218320952959117, -3.0157339507903274, -2.6792065669926926, -2.3876916173606437, -2.267812514161903, -1.727364431012778, -1.2029980399886049, -0.31044177815004703, -0.4948017730541718, 0.7182407742784424, 0.8283519719973979, 1.2435294629836458, 2.201769982585021, 2.489550464585212, 2.8874925675659453, 2.9956607673175393, 3.34480546932517, 3.0367943884383384, 2.7811434130907613, 2.667625134009357, 2.5411938568392953, 1.7479296917191034, 1.316505842763445, 0.8763189459862468, -0.025196944577563385, -0.13323728940735846, -1.0888868717284998, -1.2263539003706758, -1.544883774685849, -2.2327277602625633, -2.144744553185424, -3.026202343707366, -2.6518034903035783, -2.8074118597462445, -3.2325824940447365, -2.190608100617339, -2.4909740089481227, -2.3103685477104734, -1.9964293913243156, -1.2776955394270866, -0.7336419437978459, -0.13672201949629686, 0.33973443611175524, 1.0681741874629256, 1.3724973977387411, 1.519560846801034, 2.26488724223331, 2.1272334615758877, 2.8842512388727286, 2.729578966863137, 2.965215144834679, 3.0973697062797307, 2.445235753763955, 2.553238559807307, 1.876418143027768, 1.8654930423037273, 0.9392943382851037, 0.3054187439035809, 0.05518825127539968, -0.7222462644824443, -1.33344768390686, -1.7490398998709313, -2.0914525435152824, -2.168523642541426, -3.0908732577742937, -2.8696314063135775, -2.8164553386094577, -2.864523742713942, -2.4989764734277546, -2.534611531090784, -2.2251466641624127, -1.659845386637147, -1.2847947914284736, -0.8623310465435485, -0.13250739319141147, 0.19071922612640152, 0.7444389268769351, 1.2754663478908612, 2.1165770754632685, 1.6005049845129329, 2.64213028350157, 2.7963175123756687, 2.5797767664037097, 2.9998861068717053, 2.9497951829017883, 2.786975850697286, 1.8574359589478493, 2.294262289172797, 1.4341946556959062, 1.2231288526986026, 0.6991914183612732, -0.1789465359870188, -0.4259696425414071, -1.1696157539889211, -2.0020958966984623, -1.7926733160365806, -2.5470190017279335, -2.842975461600942, -2.9369985091501984, -2.883883367905342, -2.926430338344569, -2.6775455249672646, -2.8273570888264716, -2.3885144339836972, -1.863539163572015, -0.9951133278959425, -0.8825400633636036, -0.09700835269558511, 0.2506375688842969, 0.6944684828447519, 1.2617750613111551, 1.750369635358995, 2.313781911297488, 2.7983826094424495, 2.835371834017188, 3.141794321539822, 2.7482808475904252, 2.789768652631934, 2.556342543362935, 2.4957982833495715, 2.005636760471057, 1.7934540886863883, 0.9723294130597538, 0.6366484163053983, 0.2124193611487329, -0.8936966773144478, -0.5947693891607031, -1.5776646147675941, -2.373472085316365, -2.313732092301133, -2.63149950545862, -2.852860660290356, -2.7348872340041384, -2.77516683908162, -2.751801199152621, -2.5073156921708937, -2.311108765658219, -1.545954812376336, -1.7395807835394475, -0.9067610277201797, -0.3791400420628235, 0.32711065645796633, 0.5463898475758281, 0.8915032126076605, 1.7522335209271327, 2.196076079383884, 2.7800266572513617, 2.481360849103638, 3.121669818997993, 3.415917721887417, 2.8131387424297056, 2.4732392062819057, 2.3948835788803806, 2.1351888035791577, 1.8248371764756197, 1.1121373048531777, 1.0156986502956553, -0.06925742000356627, -0.7507081499071332, -0.7236038021712159, -1.9080851963955836, -1.9501256723017804, -1.6734793771127692, -2.6048229281301225, -3.038704639043498, -2.937303501149876, -2.9424054293757846, -2.8014547942556076, -2.5009256022143904, -2.54662248107115, -1.6228979949326092, -1.4627377299217565, -0.863578372241582, -0.5955867602161418, 0.3431415134096151, 0.5871994562686795, 1.2239796725895722, 1.4698332034641983, 1.885691619007341, 2.5766203899552296, 2.616754577401669, 2.704252833840025, 2.8128913897622785, 3.0424148630820733, 2.633892631755589, 2.4943468519613687, 2.188828797305937, 1.3919663671041398, 1.0071981340667837, 0.8480276505287063, 0.08473462776491697, -0.1134652207659774, -0.6767593861428363, -1.240415491044336, -1.4848164740249297, -2.2636566108424967, -2.435004005614234, -2.9074891774564895, -2.4259576038700725, -2.541012416668195, -2.8513919864627137, -2.590210358358398, -2.1138324486768796, -2.0477891028733994, -1.7100240108078022, -0.9076640017274504, -0.5317450829274356, 0.04381312223453556, 0.39474859445694876, 0.7523311171015536, 1.6380845978847973, 2.2098281910191964, 2.3489474875457916, 2.9608710329545733, 2.7164659076821787, 2.7275781794288023, 2.901036322326863, 2.7694819912760162, 2.711671540342526, 2.082703995875812, 2.111142698656934, 1.7648838947639929, 0.8484984087640055, 0.5604081391536043, -0.4578205713522284, -0.5796295768864902, -1.1048929071484253, -1.614233243088524, -2.1985686333446637, -3.11616340251903, -2.8930179433214316, -3.030138106682575, -3.136784521228421, -2.8474632853471977, -2.7835633198786107, -2.5958011294729166, -2.2866323824624013, -1.7876121680728807, -0.9309132860919526, -0.7567227657126402, -0.17442951842022036, 0.3928549091649977, 1.0902774535125785, 1.6153707870163563, 1.3622123824963972, 2.551854411428689, 2.9270572131533665, 2.6274016207599584, 2.738950387305605, 2.8342069729085697, 2.659108957525795, 2.640435250829598, 1.8986656212937674, 1.674712829136848, 1.748436870822682, 0.7456263780818713, 0.637255387724404, -0.0969882931361613, -1.0805125833459415, -1.1164420003240347, -1.7473269837908452, -2.233397689225156, -2.435050674715992, -2.641833544946648, -2.7498837960467233, -2.7067754356877662, -2.806376071757187, -3.0052110528589835, -2.5690573226014615, -1.5412910052895925, -1.564246465563537, -0.7532812584945379, -0.42206944219973613, -0.10168631557441399, 0.4667213801095676, 0.9410452205620158, 1.108735509033996, 1.9156523479722851, 2.541403123061512, 2.4841675329110315, 2.897991475173185, 3.0965228160680587, 2.750006974963816, 2.7423500234515865, 2.4281846488960075, 2.172176550565343, 1.7001951527318466, 1.3285751275279114, 1.2894391220314914, 0.2833003074482504, -0.06417876036578729, -0.7427043485256637, -0.9360056152988052, -1.3972019594056868, -1.9148075215799687, -2.379768412580508, -2.753104019738817, -3.1141579847933665, -2.5529098619944133, -3.053965281204419, -2.6257174839492157, -2.304096312992063, -2.294462933262133, -1.5649558189550514, -1.1453446793961568, -0.4317009060376093, -0.32241374330302447, 0.07122222968839848, 0.7724679979844642, 1.4292019246215073, 1.8632181865990052, 2.170678278736336, 2.1847069188518455, 2.8858472201921512, 3.3113768275918716, 3.030383376008679, 2.974714177318651, 2.7804922566801706, 2.462988114262571, 2.202068157166787, 1.6547287604051022, 1.0165715398376183, 0.3846905973706505, -0.06061606596224469, -0.5023173498532983, -1.1624289330819988, -1.5310216435963513, -1.9436167885910216, -2.229568181437563, -2.4185304773572365, -2.8425072323713856, -3.200258324848393, -2.9830049507843017, -2.776025402455616, -2.9230462801458064, -1.9576196946123594, -1.806229609517376, -1.2920375900676717, -0.5797702932267549, -0.4329074042606078, 0.36492379502772776, 0.7761735410442633, 1.2807570829595543, 1.6353466575138282, 2.5309766110061425, 2.4520630695165755, 2.9057980592863677, 2.5305251773919375, 3.177021558070894, 3.081566933353955, 2.717820976144467, 2.3834559434735088, 2.152313151089507, 2.0992753014524164, 0.7992474256838515, 0.7773978269125077, -0.11448779247378564, -0.4917356936376398, -1.075436338092647, -1.6128689019155842, -1.9759133416526642, -2.5765345664630597, -2.435538959220622, -3.1972205101790254, -2.8257373049736465, -2.9891622434463354, -3.0434238408590684, -2.5534723582157084, -2.597091060302187, -1.887598102126464, -1.722026498316548, -0.8355935641477301, -0.5698653786841735, 0.08145823330030837, 0.7809462553718689, 1.092267654515304, 1.7151227385183923, 1.842009255271525, 2.6121487989992898, 3.0910658740136765, 3.4505106835644033, 2.960646368720328, 3.044951276712645, 2.3726115826263428, 2.772921156787742, 2.282656034677185, 1.6094204962848377, 1.4712955023866843, 0.6467573047748723, 0.05483915467754355, -0.31494521694399863, -1.1644460447995018, -1.2551047328262923, -2.125981165366252, -2.511528324738718, -2.7877108904169376, -2.6647464029833374, -3.0499358801423493, -3.201235604702416, -2.952768153408252, -2.636560214410471, -2.5706100816466844, -2.1853580926640293, -1.0833075187448045, -1.1742703598307598, -0.5274423191150943, 0.01962858772760466, 0.5613789309932283, 1.2993560225470808, 1.8520405148205346, 2.028971068109831, 2.195711992051475, 2.9631922589063686, 2.857476096556423, 3.287763160533588, 2.4523155658372473, 2.7962698015332217, 2.8978585024269665, 2.110334312166652, 1.7245791560338228, 1.3540516123674178, 0.6620549416421139, 0.16253367016906237, -0.3995423885874593, -1.0024939252299538, -1.1448398128194741, -1.762162061839253, -2.201563943884316, -2.4065943720738474, -2.8457592309477904, -3.0722206572009108, -3.0578475559630665, -2.851645178063557, -2.8763171217204517, -2.4815142132587082, -2.116329024770713, -1.1476952378038283, -1.6305133618949768, -0.5762669535174493, 0.35956717980727443, 0.5930516787363374, 1.2532409777106526, 1.6168855122333445, 1.9005881188072593, 1.9499125100659231, 2.7176809304465035, 2.703842643236248, 2.778815455651947, 2.8136840486962273, 3.1326434217525625, 3.0350709311592, 2.2764468647585088, 1.7389303307377597, 1.1296684718991008, 0.9431307079002623, 0.6598722801780514, -0.3031773620021696, -1.2774168548897413, -1.1867888094296934, -1.5955669390146954, -2.517421746070497, -2.493711906198353, -2.6768885453488327, -2.9207155005560232, -3.0990639346480973, -2.667145758582828, -2.7775695714888764, -2.723843728315315, -2.4796457299487207, -1.3863523966783133, -1.0252418760866924, -0.5998713013449982, -0.15228438420599666, 0.3855091807434269, 0.814093006435232, 1.4439961873804565, 1.5524765320258547, 2.204657044290239, 2.5807750138161687, 2.961316431503004, 2.9259806773539845, 3.082432724172723, 3.0779907620308387, 2.8038783091665866, 2.3775295418435323, 1.8951530693830394, 1.238145040813178, 1.0724130063620105, 0.7173669896816068, -0.10683667525905814, -0.3422008001846589, -1.5551567823370587, -1.9604676355715704, -1.9762029083128123, -2.435043485217385, -2.4766454335967945, -2.8958256414202928, -3.1159901361766176, -2.9293319521374297, -3.033921892708766, -2.696134771077145, -1.9304279984308848, -1.528709645900431, -1.1479772698039128, -1.0383632373168377, -0.21452214769914646, 0.16858384400062795, 1.190494281543823, 1.3458163192420394, 1.7003710887594168, 2.309722295261621, 2.479415526230326, 3.1144364947509655, 2.77999043116727, 2.651479775275745, 2.4000667519474668, 2.6223752804397455, 2.2198319669550615, 1.66654367291084, 1.740311780986773, 1.1322140956916567, 0.4536277061129733, 0.1761840171133056, -0.5166618103297089, -1.3429639607645734, -1.8732309652242902, -1.929102940804358, -2.365742912853731, -2.675762690624747, -3.0466008232925574, -2.8201880226714655, -3.051930229353084, -2.77632474856731, -2.2228724362229695, -2.3107310141665245, -2.0813925488971945, -1.5022187203379072, -0.5714736094863699, -0.17040509760989253, 0.3097877317122848, 0.778633528569086, 1.4908609212821915, 1.6873559384280783, 2.315143052471496, 2.4238159627979123, 2.614489433395218, 2.790349984034226, 2.8620263581430736, 2.841346245839567, 2.7100335194487415, 1.6416686024111153, 1.8489432921223805, 1.4912425845613904, 1.3734045651146052, 0.3207963053875059, 0.014523837720759748, -0.273215406103387, -1.3684946742435458, -1.5211536731535524, -2.197114084746222, -2.501310470503869, -2.8387082593214044, -3.006186377431867, -2.394675215769339, -2.744083315521877, -2.562152609215219, -2.453911780790923, -2.551905957756485, -1.7500680119713536, -1.1473313793782767, -1.0166483837316869, -0.10663769287474728, 0.39817002103572763, 1.1754957320921875, 1.2404644438022816, 1.57598373706058, 2.1303203392678576, 2.8179648063274145, 2.4026769525828704, 2.492981915010509, 2.9586702856683904, 2.7810195322902413, 2.69699461620479, 2.61382726205243, 1.9566715359837903, 1.2609238034958465, 1.554149162640597, 0.4144930867182538, -0.15118427521273206, -0.27412097169893357, -1.1095166354193657, -1.5460450528951775, -1.882606639138277, -2.1373190575101764, -2.7112381544758373, -2.536294368000657, -3.3613972930531424, -2.7710792890597933, -2.974989911368063, -2.3160813894795886, -2.2527419744365145, -2.024598422523921, -1.2985837941397835, -0.7423613524797777, -0.24946171674432813, -0.02708078163485686, 0.6323443667094883, 1.2524923585575547, 1.7242998489256531, 2.2996569323800817, 2.0868453908557525, 2.807581919011782, 2.835393098436428, 2.7746728187988894, 2.737414465236259, 2.6831218481778802, 1.7482382479145664, 1.982162154778773, 1.5251615476867606, 1.3238517187612584, 0.5295365664668888, 0.09621569921419627, -0.1086994943630602, -0.7597283773044963, -1.2852353282540858, -2.0202296632514902, -2.1973988397099773, -2.6558955440370413, -2.857943422602323, -2.845382946088477, -3.0504087188529803, -2.5310618819421267, -2.658935499288519, -2.206344776392368, -1.658504287732569, -1.2930331790604495, -1.277155172921299, -0.36672884923805116, 0.2704302091522323, 0.831059370321889, 0.9590381486378103, 1.536952389952092, 2.2941450471799367, 2.2946692103776245, 2.6511769915686534, 3.1932290484870096, 2.9322920035549482, 2.754868973120306, 2.579138064995439, 2.5769253857989165, 1.909508319077599, 1.714441706317378, 1.3551134556747257, 1.0266814506686415, 0.3512638770158009, -0.4819595644575191, -0.6482096142473832, -1.456867669584235, -2.107113962367897, -2.290735171671216, -2.284187477101637, -2.7621023476796673, -2.9158062906134914, -2.609446256965524, -3.1364893244811864, -2.918525761704556, -2.7003870299321724, -1.9333084522788104, -1.5332056921174322, -0.7604850558133384, -0.48455482275721923, -0.05918890844579894, 0.5761182648231465, 1.1327842752079624, 1.2686225283448271, 2.5813279090096506, 2.5064423434089877, 2.721580028955381, 2.98369436641998, 3.081110533069913, 2.884352405214388, 2.655076813882362, 2.670403835218665, 2.3054427387416028, 1.664254667993493, 1.6425259247321469, 0.9011834381861007, 0.4420783145038619, 0.01748829068210328, -0.8041788253879072, -1.2638509576600447, -1.6363568397100754, -2.3500082108792095, -2.5218783364857646, -2.7444686312625826, -3.0984274182043308, -2.4771409317294015, -3.150195954705592, -2.9536211828168883, -2.1598743607182933, -1.9219636208411495, -1.8377181442884079, -1.020471506895295, -0.3168404660045853, -0.06306936195739696, 1.0181849216266718, 0.6911833722886819, 1.6752092350867693, 2.215138045774086, 2.5344668239183443, 2.6052543949966096, 2.7831365514736963, 3.0233333011815393, 3.0857718760464246, 2.9264955272452764, 2.7968347002601357, 2.07509674847339, 1.8416971425235251, 1.2399960458090737, 0.8403499084467181, 0.577307179932714, -0.16086199645782476, -0.21127002459280242, -1.2178882543108094, -1.723527620472737, -2.130932650218327, -2.6193077442876, -2.7535943509731275, -2.6684854717176156, -2.919552277008899, -3.043897946865352, -2.909686491013308, -2.5565305698536545, -2.1051474633700735, -1.4586620340671106, -1.4821079259307304, -0.7511002904831802, -0.10677327276318081, 0.05398403762502063, 0.7952886345579475, 1.3328385599214803, 1.7637927628621366, 2.3466219724005644, 2.5786697073731024, 2.70870039167793, 3.0132755450878173, 3.275305113976619, 3.156522601448042, 2.2407280596406887, 2.4432267247416966, 1.9113165850148115, 1.527290194519861, 0.9123195359918774, 0.4756618157116341, -0.07360979887313011, -0.771993885371494, -1.364273184151999, -1.7610685715711865, -2.0509125487258797, -2.3292233191207865, -2.5418462918065434, -2.9776401898816145, -2.885152836667795, -2.70711227175367, -2.52027253630844, -2.5202645724474615, -2.2178947491940444, -1.7227956031123481, -1.5151649736393324, -0.8020903480644447, -0.06523958985856182, 0.47111879048588723, 0.8332798166865298, 1.4436819252141608, 1.6978369440335292, 2.399338899693476, 2.558007605898875, 2.7410849139983506, 2.846424703056231, 2.9240861373883758, 2.7597446847733296, 2.7914941249578997, 2.2960335286560842, 2.3237925772716492, 1.8564918015763678, 0.8873621966155605, 0.5436429018145327, -0.15538085274352834, -0.644625759821661, -0.7120974542604441, -1.66751272214105, -1.969815170275131, -2.296284688261231, -2.881192489753678, -3.0325230192128942, -3.1805990857159805, -3.0891414845761576, -3.3501517427314327, -2.439796604638134, -1.8151044242170282, -1.793838877287151, -1.6387720326010289, -0.9676115833567152, -0.3843007817932193, 0.06097164712167144, 0.9840607686793211, 1.4925116860838399, 1.5701255799351532, 2.352438922221546, 2.839885456964911, 3.1513060473128043, 3.480812393244702, 2.7601423998734713, 3.4327769152631005, 2.621706440299894, 2.302177711934043, 2.127459709029082, 1.5131106716985139, 1.218412880650047, 0.3428660109196245, 0.005659745587966371, -0.24485851287339538, -1.0507833590884146, -1.5112005397998327, -1.8894453938361, -2.1242245422660324, -2.9787460306094, -2.7252558463618963, -2.988394628449564, -2.8888732497568665, -2.592923029356823, -2.8259440311585666, -2.47911607313545, -2.271568476325256, -1.5346760940558022, -0.6480580575881056, -0.39480233706993695, -0.08196615841887189, 0.6389990730704886, 0.9622579004243976, 1.5133403852888865, 2.2323911786581965, 2.258887964176487, 2.965860289171941, 2.8804683775750037, 2.9594343981760476, 2.82882125153102, 2.8778752257847016, 2.621153385108225, 2.1844279160993394, 1.8073894400409314, 1.168305559999818, 0.7920677355858365, 0.0644563351224358, -0.4238486057013483, -1.0203452051863762, -1.563384427997609, -2.0635379677435557, -2.216941341586004, -2.350322168512738, -2.586565812017797, -3.1793546921361795, -2.672525325155678, -2.8913075427189043, -2.503504808391095, -2.5068472544402787, -1.9158191938314229, -1.4304074327360696, -1.2855004006435762, -0.32692603847002294, 0.37668307135304036, 0.6247897266240419, 1.4603340790418375, 1.6363582223474242, 2.2702091568577436, 2.007306216779916, 3.1976674510969905, 3.178637806687644, 2.885062124606147, 2.5045796166875114, 2.809723030126019, 2.2178256041340734, 2.2602463284662413, 1.8404424980053824, 1.0936970441878102, 0.9840776626760073, 0.37167409688729547, -0.15114700581622967, -0.8890003231257247, -1.686414617150923, -1.6699834123865016, -2.3150249257843125, -2.85327462995432, -2.5269879754997935, -2.4993423865955697, -2.944686448158602, -2.416593559523703, -2.6400581536092673, -2.4490503522888316, -2.128650103947782, -1.232976253043445, -1.2183366346736153, -0.37909959963292195, -0.08297627145481058, 0.49077098102981326, 1.3219713708490295, 1.5330123116469216, 1.9634970308134285, 2.6331870801769255, 3.0020302926568974, 2.9912799394400102, 2.8086025134212633, 2.80930549729694, 2.7949452753052504, 2.6110946537770543, 2.0260092870894426, 1.9651782100538933, 1.369418347840058, 0.49245665795692445, 0.10315064742183927, -0.36890665552720137, -0.8300622098246683, -0.9558202368234177, -1.756432621861446, -2.377960493173827, -2.492227209660209, -2.842423849436866, -2.843368251636559, -2.824295613560141, -2.625277954540095, -2.695948286653243, -2.0908261868179236, -1.8778659657241241, -1.76800615633082, -0.6933059508635288, -0.5379525272449465, -0.21682860209193658, 0.8361114337498152, 1.4583004221978781, 1.5359874836215668, 1.8864288166194894, 2.3260371569941083, 2.7922190025124567, 3.0986635253436616, 3.0491223899957274, 2.942120929085836, 3.1034234254216915, 2.5228190970945685, 2.480484076188027, 1.8240982387155913, 1.5078918294951573, 0.8880027025144259, 0.355935803578604, -0.2651358847013505, -0.4706558742367879, -1.4096742688246038, -1.8893330527291303, -1.7328836079263328, -2.3000059927121574, -3.221658444777426, -3.008389191993348, -3.3046779498926755, -3.073919493032279, -3.3496405898530024, -2.4899468354011485, -2.3432991229249596, -1.6795002987777325, -1.5324592225918923, -0.6635358355023122, -0.21141156098850575, 0.7282546245171408, 1.2510945409805647, 1.6321320809443303, 1.8631187286371527, 2.709787268145389, 2.3034940912870003, 2.5410988354691417, 2.911639209830462, 3.3808449184093297, 2.786208355839664, 2.5853674172793255, 2.035010521908811, 2.1306921054407275, 1.680678019616819, 1.142996296445607, 0.31917004504152313, -0.2524420536108947, -0.921858556263174, -1.1748249450161323, -1.8933433567235542, -2.3383002443760224, -2.537752292431744, -2.8131348597198897, -2.9878815083454224, -2.848759360151076, -2.8825681367976324, -2.8084702677680355, -2.4681170728388553, -2.367144982896 ]
79
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave" ]
Noise refers to the random fluctuations in the time series. You should focus on the overall pattern of the time series. Pattern refers to the general shape of the time series. In this case, you see both time series have cyclic patterns. Do their behaviors at peak and trough look similar?
Similarity Analysis
Shape
464
null
How does the linear trend in the first half of the time series compare to the trend in the second half?
[ "Same", "Different" ]
Different
binary
null
null
6
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Piecewise Linear Trend" ]
Check if the time series is a piecewise linear trend with different slopes in the first and second half.
Pattern Recognition
Trend Recognition
465
[ 0.008325441553593323, -0.01714825795129945, -0.20601110031826375, 0.1705261585737407, 0.05602408396437801, -0.11535582019462545, -0.04426494213548588, -0.15626424615719653, -0.06731698931534483, 0.0003438803774623543, 0.1767733949736806, 0.2635712737429819, 0.06902573252242508, -0.1386706955403019, 0.25126395028903015, -0.1575937209469802, 0.10683581700370419, 0.02883413653446234, 0.14685448622354033, -0.05067635853457562, 0.12965984191313862, 0.1726109896621868, 0.06980846262317952, 0.031412906092696306, 0.13346234596757456, 0.1669416077460802, -0.012539601293402335, -0.028127204496742594, -0.027827039091536845, -0.18678558838455742, 0.13260490465196847, 0.039932582011909086, 0.013470415049020357, -0.0011596382366259247, 0.08827317224385423, -0.020465183197142474, 0.1368778737354807, 0.010676575822140849, -0.06502277621988078, 0.11154599045579669, -0.03455030681842614, 0.046602257732076394, 0.14849821685321302, 0.06113934760137796, 0.06842545895538854, 0.015051450697981299, 0.0770419194286458, -0.0008648069148501775, 0.11555459909147091, 0.030559404784476593, 0.04661048705991315, -0.033925800011753285, 0.11979714378464779, 0.015026670299699355, -0.038651155719664654, 0.02014979011933883, 0.15474844259993495, 0.13261290431771075, -0.14777673007266523, 0.007797498299244213, 0.22239914004477906, 0.2054145435865994, -0.04417765003712018, 0.17231603962237502, -0.06004455496019698, 0.0014145775047538084, -0.02068924589541224, 0.1615106938828548, 0.09234731142662962, 0.14101942195567, -0.10437031197756504, 0.18130693669504494, 0.2578385427499853, 0.11961957806277085, 0.2955199233969201, 0.18525299444995436, 0.28017863174348256, 0.07780672635643218, 0.13416659838917455, 0.035578581161952005, -0.04043556450737616, 0.024741864146699127, 0.13581016323123066, -0.017323476431883603, 0.12131726115777243, -0.10627005182747866, 0.079514960343355, 0.13992292683866295, 0.04471701737865355, 0.08517814102281601, 0.1158310793095914, 0.08022093379586287, 0.14899379668941753, -0.04729186160365506, 0.004414765010250579, 0.021776514615789597, 0.10446371084931828, 0.30773091258110924, 0.1861989844430176, -0.041992538498989374, 0.15178165976103145, 0.0770847977127351, 0.08804109251051986, 0.062014464290501406, 0.10812167880139341, -0.04131579522371728, 0.1265498705156418, 0.1716169737056184, 0.06116237920845624, 0.08972277494196035, 0.024517413439207686, 0.10470901445137676, 0.15553792190628432, 0.12898022091127673, 0.2146334044654625, 0.24596598912619383, 0.09281295098857709, 0.12990310670135352, 0.04406129102199198, 0.10750445564607267, 0.16224631233448594, 0.233761938620627, 0.1498287254154283, 0.19181278680599043, 0.028566158494555294, 0.18800074465582725, 0.07801530269698434, 0.32319314096305696, 0.34903306404263773, 0.32311176860893054, 0.07808484590549913, 0.23712290660639337, -0.07637787103532462, 0.2811223741003952, 0.17183595735387663, -0.005536465597120871, 0.23814825055258226, 0.14472774490297508, 0.1456244001648122, 0.23464763343430772, 0.28304827239093977, 0.21126403128074242, -0.04400412947543275, 0.21366123318984068, 0.08464230055839311, 0.23761700458798282, 0.22325143786214452, 0.15975256675202165, 0.1787867232902196, 0.009462281098533226, 0.35103165483317644, 0.22286649629541994, 0.21681193524893863, 0.222790433584501, 0.01316545897143348, 0.29258893058041174, 0.15516432594337473, 0.20828988918698152, 0.13779683757291983, 0.07660951246791167, 0.145976944030012, 0.18249757963245422, 0.20153751330497666, 0.15372975318492021, 0.19472251447335562, 0.17629493221868045, 0.07076688019901514, 0.20589022993742945, 0.2071546806833357, 0.1421535374483431, 0.3060923720300915, 0.213486445151034, 0.2546572746076413, 0.13098060385025678, 0.15110332830265047, 0.1923565829229758, 0.10018415226721902, 0.03863203446270713, 0.36070541982667903, 0.168753412794691, 0.21350120467555836, 0.258300535797776, 0.20971882318820673, 0.11930868789324083, 0.33792589605879236, 0.1875576888320924, 0.3004318144563844, 0.38420856019259986, 0.11478895664469346, 0.32791514645291486, 0.2585124352189745, 0.15880574328136765, 0.2937146690362899, 0.26303216034576166, 0.1927789911351686, 0.44560889690774796, 0.29480713166081507, 0.1485177882195964, 0.2921262457610169, 0.24226241262172574, 0.14845561257308107, 0.23978090652463002, 0.30316280642769344, 0.1729612882248787, 0.12727342117908017, 0.13081092728538332, 0.1372179593073291, 0.32438908136765987, 0.31313859381712217, 0.18146458823456035, 0.2533108042244392, 0.14496320647407038, 0.2127286845504268, 0.21248780478939855, 0.3100338249315377, 0.3992393559198883, 0.1733653751097508, 0.20119748295372752, 0.31267403081533907, 0.14268616761860783, 0.1965163652323052, 0.3749474899619259, 0.4129466693780132, 0.19881253615155225, 0.2105830915555542, 0.36153091955310346, 0.3916859504623816, 0.2666332499465317, 0.22778057025496457, 0.35006930674874814, 0.3328348511567541, 0.29473535372864557, 0.48330812439973253, 0.325785555085788, 0.18853067145165767, 0.34566855644664624, 0.23651215951428742, 0.28943629951494165, 0.38432493180403676, 0.39518302031633334, 0.01543957692091652, 0.2546591570924282, 0.2622672684787652, 0.31378422636823505, 0.2274789759535762, 0.28811111630754654, 0.31023110857400704, 0.15179699947216357, 0.3037634312096521, 0.4195355874417906, 0.1999628732316125, 0.33956655741903063, 0.3351014749339567, 0.14752817821312664, 0.29481714567575357, 0.3227799734433765, 0.45793341361207107, 0.29776743871211037, 0.3733091569500235, 0.266444693244093, 0.3685102489798054, 0.4273748420626463, 0.17550088333763797, 0.35659867533739154, 0.39735455486503307, 0.332034194183503, 0.3708101254162145, 0.4236670762602796, 0.21291868722139778, 0.3897252393439861, 0.4711199835020269, 0.31087763483117203, 0.2918680492251466, 0.2928740136272421, 0.38751004299282554, 0.5014451494696426, 0.5683858913252349, 0.5195583385538284, 0.3293252872217585, 0.2791937635976976, 0.2124459521932326, 0.4124499171415478, 0.6629394870742703, 0.3910865448608326, 0.40602634980699326, 0.3687599826181279, 0.4299939036891922, 0.3134914373951099, 0.4094730053169185, 0.3483631877745005, 0.4273382908346114, 0.37971365153177233, 0.4341712206664282, 0.2923728718444106, 0.4938420584218258, 0.48340170754733286, 0.35759129185138094, 0.3323876933577926, 0.26374855639265243, 0.27492940917647085, 0.35353999507223166, 0.4094193968955982, 0.41546661574616167, 0.5709265589583361, 0.3467582488682615, 0.3381389040885905, 0.3912447837601882, 0.3102673876010554, 0.5561117160794988, 0.5837664084153964, 0.48502480304750084, 0.5001851749813098, 0.3922470937675161, 0.47701108017942345, 0.535869484881823, 0.3801913319469544, 0.5569328278918535, 0.4125842801576579, 0.4064471849821664, 0.32985405540087714, 0.44096209011433535, 0.5322063963640334, 0.19552492649938974, 0.4571370083136028, 0.49671520084126136, 0.43735543065415633, 0.22999137029146138, 0.29215523374397917, 0.42136633583848454, 0.2633524794620447, 0.700503156267294, 0.5630645658302429, 0.3309356038293805, 0.5232400071919902, 0.5042213897083028, 0.4022716533239502, 0.5381270519029637, 0.2324977363580853, 0.4082713939008687, 0.39150176729878056, 0.6248190368017227, 0.3503428187928355, 0.5162240959470903, 0.38024931010298346, 0.556582857963688, 0.4084563814457166, 0.33148473533062206, 0.4512403737539708, 0.5399286183985199, 0.5091302611722701, 0.30887859255496447, 0.2996574972167545, 0.3964398528241778, 0.3635959009627363, 0.37319326242619605, 0.41858491906505146, 0.5252050431255201, 0.43970470057354727, 0.35015538820640923, 0.37822567486760394, 0.5156303893463506, 0.46143906551487385, 0.4026809371021656, 0.5383296910138851, 0.5571915290478833, 0.5543528023321447, 0.46901022066869724, 0.3904383784311163, 0.459180783605153, 0.41205829196997396, 0.2210116546824648, 0.46204860813724136, 0.2720747557690237, 0.41567436480727404, 0.4312940900958231, 0.6453548095249668, 0.3736245410690844, 0.5168304856818432, 0.4632385364557594, 0.5422001356651572, 0.43113305956602394, 0.340875741087619, 0.5107567975520321, 0.5030855779418694, 0.5214477199471191, 0.47398696797418094, 0.46970277422942475, 0.587029744947729, 0.579156489903683, 0.4287904385494189, 0.49568464952622304, 0.3916454455449561, 0.5699337915047687, 0.5606611922705536, 0.6573322972221678, 0.5907514887554798, 0.536243419811319, 0.777626284453431, 0.5557302480091145, 0.5778783574797429, 0.34257659791685524, 0.6061429526939531, 0.7678945223814116, 0.5561941381549937, 0.6072419749385807, 0.6410848456933218, 0.7116821031511747, 0.5937116400913663, 0.37584461604138286, 0.5582935895330495, 0.6144043346589995, 0.6077743177925081, 0.524081302305471, 0.5038695409347281, 0.5058011634707753, 0.528333492861306, 0.5576733538248969, 0.6000917987218726, 0.5847669725861456, 0.5052974132085372, 0.43091620468686015, 0.5889342203654556, 0.5234628302942104, 0.7144567179952297, 0.6462432254545974, 0.5904291486419865, 0.4820934585338157, 0.4238318985180086, 0.560505194678367, 0.5761865321008132, 0.3892076795846868, 0.611548977732669, 0.5704383931030343, 0.299728734125462, 0.482533956229307, 0.49047778061518765, 0.44872585253091807, 0.6107973649345315, 0.7521808751114972, 0.6210233958769187, 0.6391980326563652, 0.49969694445962387, 0.6295611069166592, 0.5615674428721784, 0.5812903834835014, 0.5221577475965691, 0.4260072811376693, 0.6770974076120828, 0.6025810283749868, 0.5648443469345582, 0.7716176831451695, 0.49073943859465347, 0.6557060293530126, 0.7982982532870225, 0.6361867349601079, 0.4796016830428589, 0.6947593737873907, 0.5436820542077043, 0.5380980467155888, 0.5105917805998813, 0.764993148723193, 0.5629654103202025, 0.5127735667594818, 0.7307630285640545, 0.44862867027227527, 0.6151241197574256, 0.542002727263042, 0.6719436821878414, 0.5702885261696483, 0.47279843408721095, 0.6296306367295232, 0.5706452939567972, 0.7020574161656262, 0.6258736727057806, 0.834628109081005, 0.5661246727294582, 0.7403639032080486, 0.5893851094208706, 0.6136105098127911, 0.702649123503221, 0.5341638484266888, 0.7485087578863363, 0.7002064939155099, 0.7113935285959886, 0.7271491357850698, 0.6927464125118024, 0.7042203383105144, 0.769136130311534, 0.6393739026407842, 0.6222487387035307, 0.6898172390408298, 0.6527421590895972, 0.7375954922754744, 0.8318781033777676, 0.5520826640910843, 0.6577932678674111, 0.5429509096967056, 0.6295418515171708, 0.6370361298675596, 0.6142224163319566, 0.7449858566989107, 0.6916988277874666, 0.5971656843117559, 0.7491000495449459, 0.6483467543796216, 0.6078507712116882, 0.5605326839562929, 0.5171579268807004, 0.6184955794763799, 0.6721499855564362, 0.7603733992418891, 0.46451392135419445, 0.8553118825068997, 0.5907715047565633, 0.6279604429469231, 0.630353043760452, 0.6009563014719399, 0.6324343052092627, 0.6378601418291456, 0.6452713445381308, 0.8178064260185742, 0.5845901377199101, 0.8402558639487223, 0.7101903161213058, 0.4992024707811691, 0.5701336880510055, 0.5570067685603706, 0.6486175599469841, 0.7816064099690402, 0.7298502803609104, 0.5455058051927495, 0.7675314722540147, 0.540523407276157, 0.5544205851586302, 0.7473066053189898, 0.7439990035164019, 0.7215135135768478, 0.6408098059809316, 0.6301067368760076, 0.5193045552993341, 0.6339515121747173, 0.566643801788275, 0.6149489928399586, 0.8610734915077799, 0.662717062225746, 0.5183045860185094, 0.752285771192224, 0.7610389716653065, 0.769003823249279, 0.576687677736599, 0.6120122587244512, 0.4957774940758275, 0.7766674068032292, 0.631944628409691, 0.48129170353594375, 0.7824939729382903, 0.5480637344531304, 0.575254786073635, 0.5088509037681878, 0.4916088550778771, 0.650059836350156, 0.5402409658883318, 0.4561918923531441, 0.7065826678442344, 0.6565976429496623, 0.7838613410211849, 0.5666028427929101, 0.606673782106385, 0.6226216686558281, 0.6142143082697892, 0.6241702233468427, 0.5657610526797937, 0.41641709042261155, 0.6242421038188795, 0.651746865141834, 0.5593921175364498, 0.8404463746829078, 0.5429080886670506, 0.5268734699023302, 0.6325922224960462, 0.6105122703716516, 0.4284091898706255, 0.664272672948051, 0.5377613209821273, 0.7060395523226932, 0.6209643963119305, 0.5562796363395365, 0.7060696952780439, 0.522491256207585, 0.44262214326827987, 0.43867580434724807, 0.5980299796688733, 0.7545945269515235, 0.5570919142769055, 0.646138000630409, 0.6000842175477301, 0.5264380603980081, 0.4007729274808678, 0.5819725980101422, 0.6445676536983725, 0.6084371377243767, 0.5277508959011467, 0.5076347637238887, 0.4959280743140744, 0.49222233107551333, 0.5613997418477299, 0.5400271920958817, 0.6050668651453279, 0.45626804842725055, 0.5494485158567268, 0.5473746948621051, 0.4988245906080618, 0.5792094024693595, 0.4580105255262803, 0.6653174652762964, 0.5872562905529088, 0.5981021766967118, 0.5352688040842464, 0.5083669058425911, 0.46783235240592064, 0.4555740596774159, 0.384724884781957, 0.5457061846988646, 0.6050908595009331, 0.41183937766731765, 0.6650847491730504, 0.3743349966091502, 0.6158360534908537, 0.44464229599491234, 0.6358905659776913, 0.6030819679749092, 0.7905560103740772, 0.4620462290557753, 0.2995063971853059, 0.3328765480010023, 0.5001523954998361, 0.5359932189489028, 0.4466049035954832, 0.5535620527785164, 0.6052881350308437, 0.5731446048123907, 0.5095724590227813, 0.4277418285473787, 0.5943353548696262, 0.6481064836741908, 0.44859834323500836, 0.39039413305521586, 0.6217590886671862, 0.537250249047712, 0.5340601973939338, 0.6746100273755083, 0.3221505621041424, 0.479090641966691, 0.5368508021902197, 0.699364240340936, 0.4917519102208297, 0.4471261255857183, 0.5159349147678565, 0.5661513114178601, 0.611095224851332, 0.6377285792462412, 0.2981513134596688, 0.41151106807772764, 0.5733885783906562, 0.5119033271671295, 0.5281654314397236, 0.420889122775013, 0.5062849755129922, 0.4578334456258602, 0.5272657072270188, 0.5294629179360775, 0.5098622900740513, 0.5036969613410879, 0.4580297216232679, 0.632712355471756, 0.5844492675813594, 0.4769212755213056, 0.5561178336883985, 0.6717489378170429, 0.3774297050911283, 0.396756714361454, 0.4739549486662293, 0.4954887834318282, 0.4095235350178935, 0.5323097282666275, 0.45236908539082143, 0.5686229429762205, 0.3913524392055332, 0.3709771577586788, 0.4361899355871567, 0.43942851611992245, 0.36373816786133706, 0.46271707402000856, 0.3853981071154756, 0.6396777009428734, 0.44253592107147205, 0.4841230432342988, 0.3214712333613175, 0.49989487326743115, 0.36309983204813245, 0.5338593264810149, 0.28723460891177044, 0.4368854267292069, 0.54214090552108, 0.4552141111211923, 0.4224519939235706, 0.5689336449309096, 0.3519262324311955, 0.31576935517296745, 0.3272585996594668, 0.3298549061094998, 0.4707807889324033, 0.3978985248077267, 0.5251627800377094, 0.4716582179966703, 0.4609204382513528, 0.2495613890725838, 0.47923988029965925, 0.5457349911307559, 0.42993083247399677, 0.32171147570874625, 0.2619478452413962, 0.5155682139205403, 0.42497838730323223, 0.27761017495519014, 0.4505546952159427, 0.40897970700529407, 0.5688756843544547, 0.32822816575861724, 0.44481685449558467, 0.5249643247210733, 0.45127803440263276, 0.38822058032766993, 0.3689869207079296, 0.37030955580124275, 0.34958869835544565, 0.32903917534315996, 0.5115998186189574, 0.5015757349801022, 0.4682834901745307, 0.41644714378885866, 0.41187570870426293, 0.23539029419596788, 0.4603293680854048, 0.390742233270474, 0.2685718829271367, 0.491902808258155, 0.3696904924630602, 0.4596235181220716, 0.4273691800274654, 0.2916382341405377, 0.4556780925900039, 0.31305275605111493, 0.21221196171740872, 0.45173060161721207, 0.3962632956558049, 0.386251201606832, 0.44944238433804096, 0.25793273319087145, 0.2762215306572083, 0.2589623152022583, 0.32178163810929483, 0.4011593370965888, 0.5704228498789434, 0.34112100902127046, 0.3805228864468944, 0.22028339268372196, 0.3068650430947563, 0.15488343395054077, 0.5872566756460496, 0.1689743077862628, 0.30519320747339845, 0.3413759999241778, 0.5313899357976002, 0.37572012076182, 0.21166593273592868, 0.3207429196136988, 0.3558200543071411, 0.28396819392886985, 0.27308465155274064, 0.26460885511594917, 0.26628462721619606, 0.2505786068284716, 0.2528725491556464, 0.3068491671816799, 0.4134344883024958, 0.2099412651246892, 0.2548299394927418, 0.3403085118386102, 0.3857903817172458, 0.48040550009788463, 0.4015578084023087, 0.34526758739277197, 0.3256228368499853, 0.314872212789586, 0.20957365152960356, 0.36423691574798406, 0.27996727285471507, 0.33753628666283486, 0.22772982730723035, 0.31065892752080126, 0.2259717316484428, 0.37081813362553523, 0.2905114527501242, 0.33264485683884926, 0.2699673134240652, 0.381366778198146, 0.3470053374560502, 0.22648641251636586, 0.21730308271770166, 0.39469368249266107, 0.07721198975500321, 0.4430712262271811, 0.23144116881107946, 0.3675291617370373, 0.3391264075225646, 0.2640633786656831, 0.329482060275959, 0.3040774857281429, 0.37335140048822674, 0.21842102536671604, 0.36116504804863575, 0.09952316717780318, 0.35059403510456133, 0.29067674676078153, 0.33670623276676176, 0.3485058986602162, 0.4326048610771952, 0.29778535318779176, 0.19738475704478592, 0.4643141369762789, 0.3179456992677203, 0.3671259252445225, 0.24096412402613665, 0.23884148962631513, 0.29110024001452534, 0.33244019902404714, 0.30478742144757703, 0.17664564368823432, 0.4270572589651067, 0.15450837381101018, 0.30555406351686987, 0.2739083919824099, 0.522951995755387, 0.22559720522305024, 0.1452050088294171, 0.33164239746644647, 0.21518020983768948, 0.3705912775889771, 0.35058674496421943, 0.3324250995816095, 0.18289138763547103, 0.3458680555732311, 0.48871520811097496, 0.21900468658644265, 0.23612816084928426, 0.24046767370734642, 0.22305010100634862, 0.26588032263920264, 0.2529871944833021, 0.24393120125387663, 0.15976944756498662, 0.36637313308313607, 0.28362213112241513, 0.34191844692191475, 0.30348517280410436, -0.023207433563065483, 0.33174296160701994, 0.3212299967236609, 0.2629337526717961, 0.4547452698280889, 0.34101349725350893, 0.33611294078365933, 0.06415145332211289, 0.367279550965539, 0.2994360624557191, 0.09640190164489709, 0.26126880075432274, 0.05923872751538356, 0.29529346093146047, 0.24381259952353035, 0.16464506369686557, 0.293803839737343, 0.1463353293313967, 0.23285746660715584, 0.3303576488492775, 0.18438734543359914, 0.12219945860292158, 0.3251497943488044, 0.2259203957989438, 0.414397588102075, 0.2642818716922507, 0.2875052350576426, 0.2463523622943365, 0.2644684732555009, 0.2685128768834682, 0.2742073976603847, 0.093444120863489, 0.11809753159160534, 0.26893704160596643, 0.2108534341376522, 0.12403767438537285, 0.22925856285949303, 0.3593198735921457, 0.21588025152016682, 0.2377409585079746, 0.23975358261650453, 0.13210226235091563, 0.1868663753227314, -0.018156263298274633, 0.09510114256195983, 0.18045427514835488, 0.06794904675167411, 0.18387597658066207, 0.15508815455114672, 0.3158584188696333, 0.38461769882656927, 0.17549638783853994, 0.21757888890798693, 0.29967730026595296, 0.17693205253877664, 0.21834638914189447, 0.03571156927892963, 0.22551460632804973, 0.30033299561571347, 0.05967489642929441, 0.004318333270276448, 0.29843487945441416, 0.1361807779482202, 0.08857769374343254, 0.17511674315866022, 0.10958274063344137, 0.05951650428329992, 0.009351160761678745, 0.34103391313647324, 0.32606949708226707, 0.1332893225082675, 0.41879241808783974, 0.28864361930986426, 0.14968160993401275, 0.380411757358473, -0.05225144042084226, 0.1301384357081832, 0.3257745667604386, 0.11449532029820597, 0.2647348310456104, 0.04808663345329996, 0.07883515487679589, 0.18258065040613713, 0.20874718523346786, 0.16220116578534693, 0.09880499872863262, 0.04600303627555022, 0.37406868092358675, 0.17156649536716112, 0.24590284175347848, 0.2329530717843184, 0.08565125436497735, 0.13673472739926926, 0.05361006860407502, 0.20631159511696534, 0.11244274485883216, 0.2897304708456312, -0.03512929638458773, 0.1748767476164452, 0.37797731143132945, 0.048931646514430396, 0.13707449889831386, 0.08476847288353667, 0.20829152751019753, -0.08281147622406557, -0.00411216249855062, 0.015866994879631585, 0.20185605956638236, 0.0945185984532198, 0.0477526563176342, 0.15101745514570694, 0.13132810851111654, 0.08823062435544422, 0.05674598998241633, 0.014805455172068924, 0.24685809329078104, 0.2524041559150876, -0.029501443628299567, 0.0615283354078239, 0.14451645326085494, 0.008050073133913538, 0.17112037825167747, 0.11743260008928688, 0.17774345391151708, 0.32504069744166997, -0.07489931057496405, 0.2372269485739955, 0.037225261503035484, 0.15879282644814405, 0.14336138977589735, 0.22744037393644878, 0.09549814321959271, 0.006084924842927608, 0.11138566779708492, 0.25442409867529703, 0.11962672838487445, 0.026304481606007374, 0.06683037515323148, 0.10622749081987498, 0.09166131386014348, 0.07669400274272302, 0.17579961984415077, 0.2788810414434622, 0.17022187765120056, 0.13631551655079938, 0.17615226891014668, 0.13628825875104383, 0.08497035674842274, 0.011317747763594496, 0.010099321152442595, 0.0656190887057197, 0.09487771516379344, 0.1782754107341588, 0.05259802168264284, 0.027152394891933322, 0.08813685272462653, 0.10252264833039004, 0.0004570842086651025 ]
Is the given time series likely to be stationary after removing the trend?
[ "Yes", "No" ]
No
binary
null
null
34
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Linear Trend", "Exponential Trend" ]
Trend brings the overall shape of the time series up or down. Assume this effect is removed, does the time series satisfy the stationarity condition?
Pattern Recognition
Stationarity Detection
466
[ 0.9226043855404631, 1.2325636239971165, 1.6859945310861368, 1.5781794997754635, 2.084378770513864, 2.1638244125400643, 2.120029624833007, 1.9455531490520894, 1.7891714863288555, 1.589676152206546, 1.5623778061775444, 1.2564814844157428, 0.7211537143054929, 0.5003118744260378, 0.3334513261415141, 0.0914153670215275, -0.014320682889625728, -0.06663848712486026, -0.2259480177290411, 0.3086930365172593, 0.3003359877627598, 0.5160214167501762, 0.7742649465508719, 1.1676604243558546, 1.4923533368076611, 1.7167323799816412, 1.8835244163009999, 2.0522111580644316, 1.9960580279360771, 2.049976053436827, 2.0264290325770014, 1.7391683379869922, 1.5552266485908395, 1.3914042709554628, 1.136844376185916, 0.5688266137901812, 0.5261313251203299, 0.27458192424165817, 0.1879701312286732, 0.06147238032425286, 0.25143138307952906, 0.021450652298716066, 0.18673587239456527, 0.7054105153524977, 0.6851460529934902, 1.04996231899302, 1.3541326821613255, 1.5962222952204237, 1.7851282503974342, 2.1348224491270402, 2.0988861772644953, 2.0525412013459605, 2.1362277261482903, 1.8912578105454692, 1.539027461516079, 1.5573907246223022, 1.1201515526031474, 0.891545325903297, 0.8561665832625835, 0.3301404751062987, 0.3713328465435649, 0.05638677698344366, 0.18915163503600263, 0.10830863999930654, 0.20140265504411248, 0.42822144900768877, 0.6386315160199327, 0.9447187458726549, 1.3486534590255859, 1.521520815434066, 1.5462836840400864, 1.9665175618211148, 2.1595092313390567, 2.1556792784916654, 2.0455196968887597, 2.0495853481864748, 2.1664538485822025, 1.686691600933879, 1.4176301423268667, 1.1195809624473394, 0.9174997672541323, 0.7497189249381554, 0.3318696703707687, 0.31996615564524133, 0.03161155280325573, 0.036237942756745634, 0.37796015678553707, 0.27698496202520173, 0.5010957530866258, 0.45161430087983334, 0.9911686510316652, 1.2960824159279933, 1.530578789353003, 1.7964592688006897, 2.0767282773228644, 2.217729175123165, 2.1694933942779477, 2.2256014682187333, 2.020954837068266, 1.8651115823997892, 1.6727404753565147, 1.243758065438373, 0.9444044775593883, 0.78433008327439, 0.5013043773466508, 0.4966650646569579, 0.4934483912786893, 0.24473397588436546, 0.1624308193396613, 0.21597126301855224, 0.5175495213662022, 0.7545386244303156, 0.8157877059632349, 1.4569433890609749, 1.5572738650407523, 1.8129114761476401, 1.9075362783652348, 2.347971341854079, 2.127565626869515, 2.2859368114886105, 2.1370366163391656, 2.070038639700987, 1.8623667935838217, 1.7016533263144173, 1.3957764389053104, 0.9175230382721031, 0.7376040303662853, 0.4871703717125788, 0.35453068804464277, 0.2001951438654295, 0.1730752684007411, 0.15180712068662583, 0.37990453709273087, 0.6001545140963906, 0.9118671760329439, 1.2195980624953138, 1.387332997451341, 1.6010025427996608, 1.8446642339975938, 2.335597387223973, 2.365143596452822, 2.2327325180979445, 2.1639342974669558, 2.121348444014163, 2.0476386250040934, 2.075998769597128, 1.6657700260948352, 1.2440585678877347, 1.0684551250681729, 0.7881250554574097, 0.5278187825454786, 0.24222737801477573, 0.30167571198840704, 0.41820433511256133, 0.3698674280529576, 0.5060254965246286, 0.6886003748351275, 1.022522327763568, 1.4814386987906645, 1.675417626496343, 1.8141646977223096, 2.0174550274346887, 2.2227885352624934, 2.5074905360041693, 2.377532650570718, 2.2873346444644906, 2.107336981701026, 2.0258805162896243, 1.7872455847111879, 1.383696253743536, 1.094780578183971, 0.818816431909348, 0.773668277302824, 0.42211921610421593, 0.3419463559172112, 0.16017612002633014, 0.48742326767642474, 0.38875003440264144, 0.6082074710546179, 0.8716663891908735, 1.2335500151898993, 1.6753199211580037, 1.6679423795335795, 1.8009454262838447, 2.1881458528685886, 2.364492210251204, 2.2398397247250488, 2.3401612558786082, 2.342519628188256, 2.1155525166033855, 1.9002046407707769, 1.6890058746511167, 1.3890016153169642, 0.9484574774213583, 0.7720391622573263, 0.4861134107746886, 0.6510496671495354, 0.23744270107464124, 0.5999765273454403, 0.4044267138819646, 0.5504271119426772, 0.8286174198739243, 0.9080813035664157, 1.1573868545763073, 1.6308736298327196, 1.9126000410638941, 2.103949867190063, 2.1798820659590894, 2.2828089632124056, 2.4529811333850167, 2.4531642092087993, 2.3432998076845126, 1.9567889156522542, 2.003290260486154, 1.5234924727754144, 1.3679319362155224, 1.0700561688550807, 0.8387272812582282, 0.6563916103233728, 0.4907932112462132, 0.5476241867581765, 0.3975928923241896, 0.4867770517721985, 0.6477054737730706, 1.0958966057996653, 1.1828593010030484, 1.4439119086098988, 1.7265569724435679, 2.0828548360498202, 2.193898538940871, 2.3573513501642243, 2.643659871742798, 2.483196866760096, 2.288789434559652, 2.200464988031105, 1.9740543674493756, 1.747740019572747, 1.5378236610661231, 1.0923024728635653, 1.1046473005202315, 0.6454492616589655, 0.46486783662637654, 0.30701571590735494, 0.497832400336084, 0.6268385503220179, 0.5284803195902847, 0.879914799720578, 1.1645873970016516, 1.468414443209214, 1.6430676837348244, 2.2027345336607613, 2.1854935449232267, 2.39589725337634, 2.5012215233134465, 2.6708290747072034, 2.5584152185703166, 2.4959293095975403, 2.328490017146716, 2.0708894388013492, 1.6251568351049044, 1.5172667863326383, 1.252755358999769, 1.1002966280041506, 1.0382765078423013, 0.6076449990208594, 0.610815235955021, 0.4704457332191607, 0.6544375776159591, 0.8026918325931233, 0.9875431017854633, 1.160614318813634, 1.5477125642638563, 1.703400966041736, 2.0291036311703916, 2.0793391553036953, 2.3600509926640796, 2.5615688865943804, 2.558778505152735, 2.5551963300048386, 2.5007367385674133, 2.0844485513839865, 2.0601489686334062, 1.6855240740646082, 1.585736877063449, 1.1361250224809247, 1.0548060031513098, 0.7036560467593359, 0.6783170174365921, 0.5925984949380281, 0.53245147872955, 0.7209225077385273, 0.8828165743767279, 1.2088574571949613, 1.3959240246995341, 1.7017332541965269, 2.06402783870045, 2.1926021757802485, 2.493566792976914, 2.6267050969660466, 2.7444696014275265, 2.5952054005680245, 2.4886184879751108, 2.235511619998102, 2.3147951459218667, 1.870793212608915, 1.829185184461215, 1.4296771658887395, 1.0295101077127646, 0.8697836100736714, 0.68142964313862, 0.6135479162267575, 0.7748405595461155, 0.6705861806146873, 0.7907571118515633, 1.067450312030904, 1.4643151905418932, 1.6505555677439987, 1.9900107324393812, 2.189021744146133, 2.465163861330405, 2.543855751012409, 2.7571132743826556, 2.8042589664868247, 2.744434580273885, 2.5960392057479336, 2.5246186929198036, 2.229026652405507, 1.7320569204565077, 1.6462124542773475, 1.2209532954655424, 1.1746309501063745, 0.7991387103676021, 0.8911290659558382, 0.828592506413015, 0.7384781870703557, 0.9311069507510048, 1.0494087127877563, 1.1076047056242815, 1.5966613441112423, 1.8143853554911105, 2.1356197361209763, 2.427725221325468, 2.4613049800194653, 2.642911186200297, 2.7746254713897933, 2.661122861302675, 2.770754990318805, 2.490758761028925, 2.415605480245092, 2.2080258906835533, 1.9660751958730127, 1.5672039641609707, 1.393163136836188, 1.1099951416299043, 0.7966027589760258, 0.7041503442497097, 0.7758494750221359, 0.9026042081037884, 0.8485263130908913, 1.2620632651932455, 1.4657561206644458, 1.5366832120697609, 2.0940232044054565, 2.3124213674188074, 2.4818349212279753, 2.73101911297501, 2.888934051106428, 2.9394245194570634, 2.988060251907091, 2.8508682649303574, 2.538477445950799, 2.205409842899234, 2.1932060168903207, 1.9160061680394067, 1.6682573613184704, 1.3234395688765703, 1.1694082799415864, 0.7861421669550257, 0.9364785178758922, 0.9258811103085979, 1.0709666401154476, 1.219460333964153, 1.4964928565199163, 1.7376268353669027, 2.0528023336365764, 2.212817075480456, 2.546434048776616, 2.7041474877510185, 2.800129505910769, 2.923411478951117, 2.898767869626882, 2.948761780789648, 2.9143666376358324, 2.755128339788804, 2.3226197612820707, 1.8915653300304536, 1.6919692272484328, 1.4009523985652157, 1.338742754070889, 1.1224502695846792, 0.9577139142358224, 1.0671767841845192, 1.007336694729123, 1.0906742877696642, 1.2263986861740594, 1.4142321238897746, 1.7471682040411127, 2.252287996989147, 2.2636787655912674, 2.6787297231802714, 2.7350512574936836, 2.908671444996291, 3.178313439475582, 2.833231059320941, 3.040486673836009, 2.706594583840083, 2.5947931085777642, 2.3348297897829093, 2.0143061754602187, 1.5816140577382174, 1.4839036900517284, 1.1651788574333868, 1.1917992401692359, 0.972903758703862, 1.1124776739285747, 0.9658301450765736, 1.3325328777189773, 1.4269139633047394, 1.604173183035471, 2.0483096231404314, 2.4322751449674134, 2.4480238203194333, 2.8223589521221584, 2.9657044457631017, 3.0689335861134714, 3.2616159372375333, 3.1827444283294417, 3.1687406534425464, 2.5577033216423324, 2.483439502725718, 2.3441837589649497, 2.066205931421018, 1.9327850214197073, 1.3866894179666545, 1.2858104298887008, 1.2904605715758566, 0.8619095120046985, 1.1752041449126032, 1.2635738636131222, 1.3472538396358986, 1.706152791504126, 1.9627692270273498, 1.9613896765823124, 2.533419712657882, 2.9095108402045033, 2.7906819938819245, 3.2560757745339663, 3.1588580150832826, 3.1761845557541464, 3.085362563073384, 3.072453212138423, 2.8042860995610694, 2.5806568776908754, 2.2419718472994496, 1.9431389941398183, 1.6337521777047166, 1.483469629165862, 1.3514690846692916, 1.2033299155543784, 1.1731063069704428, 1.3061003573503804, 1.5206035688823243, 1.615417743696151, 1.7412484920823406, 1.9469732311952244, 2.364276228693268, 2.8265668084716107, 2.911033374130715, 3.0337621371635906, 3.1530151921881178, 3.16371509996392, 3.294050088241797, 3.2900059969091697, 2.9724500651424255, 3.015799312194485, 2.2921977671281866, 1.9951253757793048, 1.7671898396953307, 1.5557223188691678, 1.5056670030517123, 1.287135651703194, 1.1962653871823576, 1.332970471807559, 1.4046672728991185, 1.450992175068982, 1.7504408777384108, 2.0845701560428926, 2.300184234742535, 2.46746894779396, 2.8254764740277043, 2.969106680518635, 3.340743062276059, 3.3622004803232732, 3.3061691275098806, 3.2249073943467317, 3.2605052960729894, 3.0148943062683182, 2.7305020621312797, 2.4118058059766736, 2.351275322248593, 1.7322312822529686, 1.6446144032248968, 1.6437896135162622, 1.407702064540928, 1.0885062486742862, 1.4149703057839997, 1.5439654258291229, 1.616344783187468, 1.9243925896771565, 2.2415767700774025, 2.56104915841767, 2.9662871633308425, 3.0609241962867664, 3.124084974297277, 3.443332254766905, 3.6702145160187207, 3.299668343683871, 3.2258525861254315, 3.1382854871467605, 2.821750927315281, 2.5756269103673253, 2.3093347792545713, 2.1316912747049455, 1.8849518222929753, 1.628392899931243, 1.4639839667387233, 1.5420994861759842, 1.402783968808132, 1.5696282003684892, 1.7245994174910682, 1.80322026153156, 1.9292077535456797, 2.5048202940068993, 3.0485890592746614, 2.9124558266342984, 3.203681950848646, 3.4189864314002074, 3.7308411748673542, 3.616925948667705, 3.520275886646974, 3.527729781632554, 3.2217731601965864, 2.8796602444822796, 2.692662841901453, 2.310808254579567, 2.3003854028163175, 1.9037171005736533, 1.6985302076468747, 1.4087308822655018, 1.536884516237147, 1.3540887630630407, 1.6956418115547938, 1.854799601489885, 2.14213339026354, 2.2930108716959787, 2.6740833175880185, 2.9524939052129664, 3.055682014188171, 3.344841719177747, 3.638338852228291, 3.6305919636091493, 3.7463663877066327, 3.484364671235932, 3.476468517101203, 3.2364992062419105, 2.825546883017361, 2.599755278624711, 2.373126302033409, 2.1192169263138383, 1.7299136711132237, 1.81792209303492, 1.5207840344326862, 1.5487329437536628, 1.6931682752784363, 1.7574215899026944, 2.0397336100692134, 2.117494199208986, 2.4523758391143162, 2.7486594123873824, 3.12043672732346, 3.283782575652841, 3.6492348144430866, 3.5376021571635383, 3.82870789370352, 3.7300101910851886, 3.7190404700397157, 3.4068427166602917, 3.0848508807723976, 2.8893170775645403, 2.5895964954730837, 2.482826564848051, 2.074428478430872, 1.9664751205203237, 1.9635449738024042, 1.8125382547339133, 2.062743755079014, 2.01628085996856, 2.086335783649354, 2.241473412781389, 2.210376139103723, 2.7452266616772363, 3.1220300220624386, 3.397202844299843, 3.4937571708319473, 3.886998869058422, 3.7969991358595365, 3.79492796455943, 3.949464345902077, 3.5522399808711547, 3.388025316577839, 3.214745546333538, 2.8626372141755256, 2.7000031464873984, 2.500619443886039, 2.1757402993781745, 2.022060789164267, 1.9100938516741972, 1.8210621667936242, 1.7160905983270671, 1.9207191472522815, 2.1226109856200646, 2.4904932519532568, 2.7681323730523477, 3.08697103426732, 3.275412662743705, 3.621509715561831, 3.6237817039766584, 3.9686651076937878, 4.079868545028538, 3.891285948830339, 3.8051825548298712, 3.489914051972034, 3.5357578938007945, 3.1429944453162864, 2.989324844550529, 2.5564294924055995, 2.341481401832338, 2.238926645500172, 2.0119334022827475, 2.018862084344128, 1.8333306094494766, 2.1504852850831373, 1.998364004314101, 2.33004755380161, 2.6198281203566136, 3.017704995452506, 3.368424972381175, 3.5956324537606354, 3.7189997039052742, 3.941284672327993, 4.062185498205711, 4.2075836261185895, 3.95104745002971, 3.8356672078678757, 3.8159767941523945, 3.4771066982390573, 3.2119314879764405, 3.1233642353789217, 2.7278048192096533, 2.605555709890724, 2.3078464412505615, 2.2093709290152943, 2.1931167776244154, 2.053752228301176, 2.1841036553815636, 2.2781427730681614, 2.6885259412613864, 2.9567498334604974, 3.160308191666216, 3.5629228901371888, 3.725610288923185, 3.886201871784873, 4.151473371964025, 4.237970325224335, 4.1676617370767515, 4.135067677021332, 4.03226526480919, 3.862528380392265, 3.476545079383679, 3.155477624057098, 2.9266029304742576, 2.856746036958582, 2.446041416037142, 2.1693366401398935, 2.130113120271488, 2.118904193584563, 2.1120103172814306, 2.376262086433694, 2.4176057727547327, 2.8384534798776135, 3.0855715137005606, 3.368816906029932, 3.7057359075617464, 3.886552530116362, 4.183520983724152, 4.271734294862944, 4.258346172466798, 4.501060745486765, 4.123391722539889, 3.9071796356660067, 3.7819808520860323, 3.5024111631744153, 3.0366088980098707, 2.964956079154629, 2.9388222937934168, 2.5119475465145973, 2.42910566133807, 2.2595351684410074, 2.154569807942106, 2.2806226525921285, 2.6510589873566968, 2.799370109743446, 3.0970351158928184, 3.295070787135242, 3.8241277976452657, 3.8728721072311276, 4.3076589168000945, 4.432731807447854, 4.380367217288112, 4.442592050102344, 4.390967336552447, 4.2679283813348, 3.864327077238936, 3.7701620383317187, 3.488559374834861, 3.469398179108569, 2.7906373821486357, 2.742574527804579, 2.5031630082268483, 2.482765147063958, 2.4058074992340877, 2.6587097328488727, 2.410761657438599, 2.7179182014521457, 2.9541564327724377, 3.310628448027027, 3.287976586726646, 3.8330730102443464, 4.17187482362353, 4.25814145227908, 4.422650115881622, 4.6480935361728255, 4.615118159235051, 4.345398662615208, 4.156558049897501, 4.02074090458887, 3.941786371123795, 3.634286573113576, 3.280295834930026, 3.084375476112054, 2.8852993084795697, 2.6940010934305114, 2.526967280056123, 2.488428891503957, 2.5672156468604816, 2.6848305767849525, 3.0338539942176888, 3.396385610571145, 3.4680829800189357, 3.744019428860464, 4.147817366471003, 4.449949842576787, 4.491360699487181, 4.67620488567505, 4.436405800129539, 4.646279020193004, 4.598351140663667, 4.52473210149276, 4.252523477455325, 3.8311202451036457, 3.658168584069093, 3.2490554346195366, 3.0359218420180416, 2.8980767201940294, 2.6555304558527912, 2.841619380489163, 2.6800185065333415, 2.8823850797295454, 3.0417967658791176, 3.207381069305977, 3.6346281296991028, 3.985032840715765, 3.970911727765603, 4.480386097008185, 4.640553911337384, 4.706284339501247, 4.789498381484607, 4.739160304897233, 4.640254722444718, 4.725241236358346, 4.1034852060342395, 4.1546707676584385, 3.9450419471953353, 3.644819333759136, 3.3187940487071743, 3.166987910298575, 2.922435564657075, 2.849599869698773, 2.8573115155836275, 2.962241715089133, 3.1196088790614604, 3.318342197917653, 3.6600720933899136, 3.8184558447318073, 4.0301742414468995, 4.363007726069574, 4.506059202407964, 4.7901827174148, 4.858389887468868, 4.912231626355458, 4.851311736101589, 4.874209519227733, 4.546263772538328, 4.639967565347633, 4.1183328305701865, 4.020997195237857, 3.6416732028802885, 3.386169610187144, 3.2054829379626355, 3.2128946013591295, 3.1984115871081613, 2.95218646016949, 3.176719558621184, 3.422672576038704, 3.6596836446014516, 3.905271768052754, 4.016681630627009, 4.308767192732672, 4.6870116558226504, 4.955693434398321, 4.91280150439839, 5.150084064770694, 5.2909158139733705, 4.9068382722556, 5.055517611184667, 4.728411689120753, 4.425249740644036, 4.244357585101955, 3.864658074841562, 3.628472086808975, 3.5690403866277944, 3.33724071770988, 3.343480655738333, 3.1622857412779837, 3.195902521986475, 3.3540165589050535, 3.403028596156001, 3.767153914393967, 4.066524346880324, 4.42010780345973, 4.665627746827868, 4.83668867403836, 5.0471316214893935, 5.134107997462592, 5.120576470007974, 5.162859837451834, 5.206428306879627, 4.99254532729806, 4.662620850563735, 4.545242390429193, 4.192724921029383, 4.039816192432799, 3.8845255913364563, 3.544295789588725, 3.3437760689260436, 3.3975254029071396, 3.340014297648251, 3.3683464853349485, 3.628773037689974, 3.769028248389095, 4.302820990294482, 4.441161480333835, 4.4374500046861325, 5.025781978536165, 5.177623096220975, 5.389938986469544, 5.434666431686675, 5.417890243285313, 5.473171930564814, 5.39438670302354, 5.201767248270395, 4.9823104929071915, 4.739186208897154, 4.301007458232913, 3.9117586522035483, 3.7694620762443223, 3.5489361745268386, 3.406557511224245, 3.4974025635755925, 3.5039050916301786, 3.5325969152546306, 3.7162661539790287, 4.145973427096393, 4.30439426299518, 4.571078751324295, 4.795343195723294, 5.407029886725553, 5.328547801156157, 5.491119237383137, 5.636344721445287, 5.649209325048942, 5.5732745480737815, 5.439099346489167, 5.333475465981277, 5.020787027434394, 4.747279193452765, 4.214995654895733, 4.2147024921745455, 3.9841962647409015, 3.733501600765577, 3.749208566417235, 3.6873401654844358, 3.6638049206063164, 3.778154301458443, 4.208655909302741, 4.372297273165184, 4.707689986203857, 5.087823325441205, 5.314143395562968, 5.507310924464676, 5.751337973375555, 5.802557763770142, 5.7416859631663035, 5.983181422711913, 5.700645660984881, 5.517830561217358, 5.482944066336295, 5.102994295115096, 4.859348134754725, 4.5633001748521576, 4.253016016469582, 4.1552072731804355, 4.163943332556011, 3.8379997231623713, 3.945175698654436, 4.064300164374931, 4.267096630120683, 4.483976844427316, 4.775734019291762, 4.8074404681888945, 5.2363397960034845, 5.435529231086281, 5.711290284014262, 5.9553230634216066, 5.842013640653979, 5.970393551910271, 5.972525250018978, 5.948708500334909, 5.588267676891704, 5.355117387953697, 5.007288904937294, 4.904273102481043, 4.755495411621116, 4.274448813004873, 4.235703514164925, 4.062140200629574, 4.037817045802705, 4.152069944900976, 4.1968599161615705, 4.602141466421256, 4.669248212887239, 4.937796436629285, 5.294072374208982, 5.512487808509393, 5.7256822469399395, 5.970049239871588, 6.0881071580162125, 6.279959625798869, 6.177525006082565, 5.934913673441958, 6.0636556335137435, 5.616291550667902, 5.637023082209955, 5.18881840927915, 4.8953619674330255, 4.733806052581629, 4.586474251469318, 4.228822817132909, 4.354011936079386, 4.314790239860783, 4.110913163897094, 4.411547099538286, 4.6854127729046855, 4.922753104202431, 5.170482107578823, 5.55231241304878, 5.82167790793732, 6.125093302286872, 6.257742484746089, 6.40411241153142, 6.429055991772359, 6.2619685616969205, 6.195705959793088, 6.090869101384782, 5.838592351788045, 5.61522730437612, 5.296689169427448, 4.937583577883667, 4.742334291897492, 4.5084359184939045, 4.303750188666512, 4.514226126649503, 4.5742120909616375, 4.658384146342204, 4.893194563932224, 4.90681738285413, 5.416842312241748, 5.5854822261495105, 5.874287963432837, 6.086964464060629, 6.440935368939322, 6.606727348548108, 6.603706158519198, 6.478239819522171 ]
You are given two AR(1) process, which one of them is more likely to have a larger magnitude in autocorrelation at lag 1?
[ "Time Series 2", "Time Series 1" ]
Time Series 1
multiple_choice
[ -2.3999495805372835, -11.234852664571374, -14.294699729440811, 3.448988110887992, -13.292175951988225, 5.102926069108719, -13.620665897776824, 3.9988318621640193, -8.196657750854566, 5.794711689441194, 6.6909061529039615, 3.1754029942488295, 6.21689323931956, 4.855891154842192, -11.906751353694613, -6.128245272666264, -5.304088028784091, -17.784475774064422, -6.701522213478068, -13.581955881750433, -27.675775056508222, -20.724831806291448, -25.01825877733158, -13.09803701488962, -10.13232157335219, 1.0259876889665094, -3.6446131904397627, 4.1951927076832884, 1.6274823243460854, -5.104252104807257, -0.5848395075655715, -13.312737475952021, -14.133526424527638, -6.457916740615168, -17.78914655679393, -10.92737945104903, -17.14291276539842, -32.17920870473293, -32.115187139176165, -32.65248934316882, -9.61127848883855, -14.4848685407286, -27.735403407292488, -9.516466690436891, -18.366286772758293, -14.786446499517355, -7.744944277048111, -10.105516823014451, -14.461471030857089, -27.599857241069827, -31.765502265289058, -50.79117649666621, -33.81132859165882, -28.926763103616437, -6.269918960396712, -7.143185851685568, -8.406095598124915, 10.953374979704858, -3.3416200074906026, -15.047521669454005, -2.903131142787487, -2.7910989477519745, 2.8603374700875857, 7.928112937948347, 3.7003606882499316, -20.9129564950558, -14.573027901455342, -19.779667219715087, -28.019000551326748, -32.01490582895724, -43.995520562784534, -51.46592569443015, -44.167350506194445, -34.06864249585516, -23.753442278259108, -11.36574222344875, -11.733343153009521, -16.590681948032255, -23.730825343638436, -23.05705243617627, -21.97161094939558, -12.70098201475942, -8.457075196234848, -2.6351173648469457, -13.692068349372223, -18.405043183906674, -13.090995862517351, -11.567069573969514, -11.093445817201875, -14.494069744883593, -18.784883490747802, -13.145050746002104, 6.449625094449175, -22.588534727845015, -17.463125261331246, -13.87767094807335, -12.075561268175514, -17.679739587348475, -10.033350106197734, 7.419742484264759, 24.393550043135455, 27.89554743340004, 41.13058636626775, 31.113012411467455, 35.428603431207776, 39.1779433351484, 30.845866308897435, 2.6932426192846286, 16.599579317511004, 9.61790677251473, 21.340815351654413, 9.767784772526111, 7.000652313360022, -13.406378879925033, -16.588019952896694, -19.71411833353278, -15.67762624484581, -12.478669874914326, -8.115042632981341, 12.541466603303167, -5.287051712637819, -0.7916572728245437, 1.2282588818221165, 13.969373965970949, 2.6357408219641876, -13.461895128265612, -11.748478147045176, 2.415812184407347, -1.4588118847922873, 11.21696273963655, 0.6408359786213893, 12.194770592169014, 17.085125488701863, 10.499874692502754, 16.084245158642794, 7.886519390793413, 13.62599946024002, 15.17743158590436, 3.5358168851568355, 10.522461907013321, 18.91873490389885, 24.198286007799755, 10.196945814750112, 10.376268420777095, 5.560726784036551, -8.609377764223742, -15.601551471819587, 1.1939157565879146, 7.673505903934264, 14.526563023506082, 27.635724482432906, 7.436494123296814, 8.021668110522677, 11.036925730461409, 8.608236574693779, 0.3742855004002603, -17.288830094018497, -8.050442375207806, -8.468281035713922, 10.841908224563703, 12.68164885493324, -1.0550160997877605, 0.650191835102981, -0.6160411630695718, -1.9797686792181244, 5.667546782529615, 14.640686328996344, 15.610455484296413, 23.631557788784974, 23.661389175681187, 28.926826187012143, 40.436432543851254, 32.32837574369512, 41.09413335478155, 10.232253341479556, 1.191604337635181, 1.881705580827121, -14.953704860487449, -32.095939437380686, -12.5276929098501, -22.25502601524286, 2.013217780749482, -5.291373292050574, 9.646382296855611, 8.026956135070861, 15.442423910025058, -0.21815515310715305, -20.605252251073328, -21.934125489640472, -11.823400822326207, 4.918975144176191, 7.844417418651556, 11.462063874725791, 11.423234703197167, 6.0901801557356094, 1.4798098737377101, -0.6961322359864748, -0.6245765078944724, -14.374904725009985, -11.773661471021738, -12.32916452682252, -7.997025713296435, -0.804097616366537, -14.668733508157942, -15.316844461059729, -24.979039566206012, -24.325669792948588, -21.895519836657265, -7.1635704392588035, -14.079268144854145, -7.199758626865007, 8.795161367166166, 5.591209057148969, 18.343702623125715, 10.991792306274625, 22.858666118679352, 33.85042243928258, 20.635215310620715, 6.9240553625641255, -1.30951507818407, -2.105949752080533, -1.3260510052589423, 2.4300630441192936, -1.6994911728711393, 5.01876466462101, 10.626640757781825, -6.387397920082137, -4.233832372904227, 9.151167818199431, -0.9484428649789196, -3.802449733476421, -14.763822781216588, -18.306761611904854, -0.7758551494527293, 4.543925044344427, -17.178885639878, -6.631179576889243, -12.237501007210277, -24.677705844724628, -25.756667798788545, -25.36912493022626, -10.865320816363695, -19.674177509365357, -13.973131225048574, -16.072062535008403, -14.156988192114223, -24.54356272010127, -3.156301568791953, -20.144377601142082, -27.18819853385579, -9.657905114439549, -5.600356858009709, -2.119126683829921, -7.716036805620037, -6.115282579338798, 3.951750575946379, -15.031416887695762, -4.958983511961912, 6.130806980925401, 29.29786635226607, 11.136950949111085, 9.103151546569483, 17.1057808014137, 31.628282724662782, 18.234017901430974, 7.899295001593716, 0.059245576962696944, 1.658871603530763, 11.617558188303086, 3.2212978009759023, 9.762434362412874, 11.317060654634753, -2.859390535623305, 10.303615774893135, 17.17214321082146, 20.19503743142789, 12.779401292207627, 21.82322746507158, 18.104571644666507, 1.6150891166796537, 3.064841498023468, 8.28768858672306, 5.309307946095395, -9.302831595571895, 6.290430071844496, 20.800358705823513, 14.364054046939643, 18.962008257079603, 6.986630757404551, 11.060899650585558, 2.775527938667002, 1.4152614136619501, 0.08941737953311257, -10.212475194444487, -18.400974614851158, -17.90970143991265, -4.3144230332211215, 15.167991374178095, 16.13632485563592, 11.893455701913219, 24.824512202167455, 32.63509738724942, 31.47445494010336, 21.069907164936662, 12.372174125745875, -5.147745228458321, -28.131943683172967, -15.255076551728774, -2.211267857774713, -10.157570772788144, -18.711297790734, -35.34900179348841, -18.562604918717412, -22.377491236171306, -23.464466457436295, -13.902098030705439, -3.980449979322124, 1.9944274371530102, -8.14447743026684, -15.623033065586732, -13.708974969324005, -16.135239851323607, -28.066621943977644, -19.57244574817451, -21.790628828225604, -36.96402660721919, -18.348673978408474, -5.7360306328106265, -13.364915485185415, -9.23556330707248, -7.128624188066052, -23.765916626445858, -33.810887186128056, -24.922584177628487, -26.096878541559974, 0.1197569958748943, 15.388980002998586, 5.501860832322026, 22.648096354340456, 30.839415476513533, 14.72234732466637, 31.407265680925054, 3.157767991715062, -1.2475459720670736, -4.88746543573408, -17.37182487402537, -1.2966135168956026, 1.979014683011431, -7.367022822064776, 15.73795778527705, 9.212831620347607, 11.95619181178664, 4.89157987482696, 1.6679174994282322, 1.1409484543569868, -7.154292555110004, -8.105088257532111, -21.220986840968358, -26.452701639637418, -19.47531149317715, -7.932933541192484, -3.0219766558661556, -20.88958517562966, -8.178267473489438, -9.872193147718296, 6.144632978542978, 12.042859695391215, 8.429569422848658, 9.78616811514269, 10.06453903285313, 11.361476299098076, 12.073834518528233, -8.386683287710271, -9.16694971640422, 0.035922720062997016, 8.760236472105632, -10.476809539357163, -2.9614576436909097, 0.5400084826822797, 11.711231469901534, -14.112335523228747, -10.02971899135001, 10.50070322912877, 16.441440802088437, 29.028534604250808, 29.87272064751685, 22.291834261797415, 16.13059175905076, 8.433242497057222, 11.78037314445216, 3.6520179672591873, -0.47840878008702914, 19.51483053346248, -10.273073776881894, -15.461545764781802, -8.374571671336913, -26.361371845554505, -26.615567541772215, -15.434290503312493, -7.072844530449366, -11.784606419485792, 2.5698185854597124, 15.07474750104128, 22.48042112202255, 15.890692112008063, -2.180364551481098, -18.62184258476461, -20.58760956711415, -18.411147371684457, -13.654419874387333, 16.728735273638094, -4.940240191620013, -20.977554920947398, -12.46374883370435, -8.573812600063206, -7.5770818358600565, -5.025316698127615, -13.019301005635858, -21.985081410474542, -26.40543298785515, -27.136212760679125, -18.660198788481544, -16.25631151612312, -15.473878551131769, -29.43858232638891, -15.167590432762907, 1.9130902779704382, 9.649248811819358, 5.704404904871461, 8.52668637372981, -6.337724756341871, -11.555672122937722, -17.07545297841189, -9.123297926216491, -0.5596919410764425, 11.983685783591016, -5.789210458017525, 0.9170088352616848, 14.961940367521287, 7.343074084571935, 4.424642329027622, 10.396479245762706, 16.63213185203154, 22.39537865205105, 20.43065464789784, 10.076924615131299, 12.267951898893216, 15.011184663198174, 16.952261974513867, 1.3357871163060278, -8.894888990329658, -17.122572160894343, -16.37406443794159, 0.8658435332029359, 0.6878606115614019, -12.551302337058809, -1.971799345119532, -10.661599517544081, -0.7597652986069257, -13.689525864298716, 5.181629916285759, 3.3656100933227826, 8.757572114999121, -1.6224518223235123, -2.9552071773402786, 9.761968140589772, 15.893873065760285, 3.6303341541992165, -13.451603814484837, -17.065432692811868, -23.016159453499256, -23.855914480131844, -26.914122996618985, -18.21593337188971, 3.2444278167264944, -0.13522165716706658, 12.487491467684114, 8.90412621132571, 3.3474483354946845, 5.280655052369099, -5.555551486814013, -1.2887129672668092, 18.30913147641072, 13.72241774151416, 26.467285308906952, 21.81428480441653, 18.034281157436155, 7.4180415280877785, 11.524648499535324, 3.7603295120059483, -24.43722175733683, -20.200543591491815, -12.56483328841556, -6.439235228654176, 0.2568774469070423, 10.143637814358485, -4.727118413971509, 13.906990202311992, 9.744267083705271, 17.08252959586912, 16.9783913862317, 20.28324842421669, 25.969722091199603, 8.176249067348214, 12.171762984776038, 5.5218928077922405, 3.3747771691959185, -1.4452358696732035, -5.884010569245327, -15.049756982805153, -19.77222532491739, 0.8207474061384268, 13.176851470159217, 5.195684517781408, -7.381230999904065, -7.000696679870876, -10.20499252242114, 9.189288655492634, -9.224219276767375, -7.264428170170323, -16.74183889635035, -4.438284216989858, 6.699018765826002, 2.652911845672389, -15.192340498325402, -2.8436836292641647, -13.770192445809075, -5.38618557693948, -5.21013375990103, 15.078871116305432, 30.668698269104492, 33.72315576181553, 26.351506270489878, 19.781121632342142, 36.638904961211246, 43.35764023566792, 45.666231092060315, 31.0017578954675, 12.489099249852346, 0.7097689991520628, 3.0832070723807314, -2.408812292196086, 12.614083547428415, -8.41022095622824, -10.08176649088416, -17.93887341532173, -4.42366930380533, 4.450440571037508, 5.307423393930669, -10.733738023788558, 6.748717724361189, 3.4207257837808345, -4.199230816102273, -2.3161431761552627, -6.98527557836143, -2.4602984362469376, -9.16211797930808, -2.5025266388831247, 0.8533008870575673, -2.7548452103739303, 7.839213836249284, 8.62314239895392, 12.336752384794046, 23.904553500726966, 18.648201572853107, 13.894619245178443, 3.604722755656958, 2.7228889555856837, -10.929245093597547, 6.5563778949453155, 2.4668385120928575, 8.029489753241773, -5.339740604323077, 1.9213146208919278, -6.500106026112748, -2.609583348724846, 2.471800009191537, -12.947337913431866, -10.830784237280398, 3.4617759906940044, 5.861550241609994, 0.7046921761912341, 2.949752960886693, -0.8141033054422233, -1.4419304364323153, 10.247271684218076, 3.0371922980906225, -4.250801930133305, -11.08234212598354, 4.479531483786229, 13.667325649105017, 14.358927487234038, 2.1900679648729096, -8.834463503016426, -5.3354829298882205, -8.533538095206726, 2.2010116161157507, -12.795660046805363, -19.478044456000294, -6.210767935268747, -8.556002129922827, -11.733613947957194, -30.475637672610652, -21.282130171003967, -18.73980518358951, -4.202539815562176, 8.750885271327489, 9.60308189814741, 9.694105291965066, 19.53806815470646, 21.132005090542524, 2.6968625925011835, 4.155001412720722, 10.079504659709263, -7.082389121674273, 8.558342225229222, 9.950116014521551, -0.016215557786137147, -17.192966195873677, -5.040244756893786, -3.280469912158433, -6.082322415246385, 3.044994212170687, 18.03797591394029, 16.09225434152591, 2.520996164903174, -5.038588594896102, -11.095886501982529, -4.249366301180427, -10.220714830599523, 7.4936625462194595, 11.399775279541805, 2.726999731050414, -0.27728556248905667, 7.456433973564266, 6.735430230233, -7.519650839700579, -3.668484810727418, -23.744929625122424, -15.58099654030722, -20.370259218426668, -23.116269015207752, -11.706888526366424, -22.16057455755083, -15.129840610288822, -27.395082136212046, -33.35322935670256, -46.35432453290328, -40.72596380727885, -21.566262991679586, -24.77959592584579, -30.854764554524415, -25.30990407449883, -13.716293489621245, -8.114612230232144, -8.767212970320784, -4.603796339962505, 3.5595961229841317, 4.6578325057048255, 3.6108503597313044, 0.40363181836030737, -9.934996185153826, -3.3123501829653375, 5.586184164468252, -1.991380547485492, -6.3157972231190875, 12.967894988805892, 9.643965487821268, 32.19804748963203, 25.273046668665156, 25.772423308668696, 26.51865476891674, 40.38250033060693, 42.86171299002006, 39.90846480757086, 21.706805534057573, 18.72448813350567, 21.478709542022575, 29.339907708019467, 23.739692343062632, 17.566437169955236, 33.469534570673744, 15.315756612564936, 5.540878586519435, -2.7598812710209435, -8.687697562063226, -14.216888007978124, -18.52500497449448, -4.367016464188177, 18.794070236038234, 18.69556470981596, -4.9650210163242825, -1.3746176834424313, 5.522138345769156, 4.09847339448621, 0.7830034749473422, -13.564307520579058, 4.313598291405118, 3.4635055124744345, 8.352396130414526, 2.4279005403644387, -3.50399787473532, -11.197780161130323, -14.572109978266347, -21.781662987234526, -10.387547019463264, -15.41047651134248, -13.122003019889194, -14.785213470075515, -10.482179538734954, -24.580863462401105, -13.448260037199805, -22.802529758185372, -24.10642083885559, -21.32097943798977, -17.529093308971508, -14.103841407522058, 5.857436606157215, -4.7566647940351485, -7.875466278804382, -3.1611588233776864, 7.536808673748635, -0.22294668527711714, -25.85690066419021, -17.302026115866468, -4.732128270624585, 1.1440276998868701, -7.446018950634499, -17.00284674728895, -11.80668426860602, -15.435193039522371, -11.956281482537124, -15.87795252780587, -3.7003149419792347, -0.45557305009942795, -18.95274455315177, -18.148615343129137, -17.227033468058046, -23.241799160716425, -6.513594525375412, 1.5279226006836222, 12.890573818448507, 18.64638365527493, 32.97437425783193, 16.360266111701897, 9.995080729625737, -4.892835554797433, 1.2185008475616956, 1.6993039277530584, -8.83649053942409, -28.344456537872915, -16.428368561484277, -3.8314178084849306, 9.721217790140937, -4.29776681810684, 0.4064800380750908, -5.43592615986405, -2.025037845379753, 15.205325561079798, 2.6852705989439833, -1.1222989156611471, 7.40097421173549, 6.318047492770171, 10.488781012284724, 21.2749025319944, 17.413561311600244, 8.771202445945974, -0.978072831511895, -2.058723842833018, -16.111092756017843, -4.149060613570107, -1.0384039300088839, -5.114421187982559, -1.6886021612877524, 2.108452246017869, 21.901710979404996, 3.5090207360228653, 11.730260345204316, 21.487068133138795, 11.552508223358132, 12.507246531606626, 4.952749409882271, 25.538862920148365, 15.963321509667423, 19.823378850235073, -2.7264149716652977, 23.331751005758758, 9.384593259769712, 23.442604909039083, 13.295765192234168, 15.375761624447652, -3.3289701904775697, -6.535412829672824, 2.768801838925814, -19.915907129516036, -13.671392975274129, -9.327398392747094, 2.271396255860463, 2.3887092823243905, -10.313102170076926, -3.114004268415103, -9.683757242351131, 8.530160832818744, -11.810992474732693, -6.5661038898251896, -6.99146821937207, -2.732971945216875, -5.146986520309693, -23.173354134562082, -11.811209494784237, -32.36378898180442, -21.477172851487033, -15.32194308219755, 1.261594208895593, -7.608785214959937, 22.002985437065796, 15.526090177249905, 12.164043072154282, 13.568816808137056, 26.454769471856807, 23.647321129802364, 17.566561414679974, 24.27161754642607, 13.938517435595081, 24.744825783516124, 31.001335671979078, 28.90244859255688, 25.305332075123204, 9.316654144850819, 12.633349818468293, 14.644856705331842, 19.544152101172983, 15.494873023442489, 4.201908034821592, -13.921669933825836, -22.83960922164982, -30.120981350443614, -29.49552916430465, -49.30256527685869, -33.90803901515932, -35.94312171795436, -27.47027430192516, -26.982017501448674, -24.902516550987414, -16.180363881515056, -7.163101509376977, -17.651984671588394, -25.488830908660436, -11.501628475084877, 4.435784887158324, 5.068245536678936, 3.0639252753675343, -9.753020788933336, -28.12768721862434, -43.49243441406544, -29.592795418075475, -29.835872701556507, -9.600500506875775, 4.841780771674124, 5.4671380995056245, -9.37635530785597, -16.662762621373048, -15.930857395981503, -13.955173402407034, -16.27273628690798, -17.70171752691774, -8.021139443320369, 8.000927121178007, 5.359445602890699, 1.1318555369856815, -3.9996689563322243, -23.946414825143226, -25.536509215432233, -22.367767654633205, -30.72320569250383, -7.336470328278111, 5.930106096070432, 10.982490216671762, 0.06422958688583513, 9.559079354854186, 18.340516841541916, -3.2810418684791465, 10.450338554190429, 18.155076051754087, 3.7624902619827267, 4.8532139933697716, 0.06187372984026185, 9.821592267690791, 20.323231129467697, 28.43885452038014, 25.796081924400376, 38.66000573909188, 13.633986476535682, 12.99715291265814, -9.516321348437131, -15.22445614431608, -28.3413736857011, -15.46855851976919, -0.5091772276285127, 1.8227329159030274, -9.215349884066516, 0.11840309695321949, -4.356509792410722, -8.338107090286663, -0.6212086898946501, -3.3413857389938957, -4.5414244097987915, 7.063684442305664, -10.276798703239104, -18.990376689612134, 5.052728376128133, 2.874332199669743, 2.4570897197591375, -0.8895032167279353, -5.003463224098567, 11.259801059734883, -4.128816936424554, 8.883083867951353, -2.8994654336283574, 3.617984693217383, -3.50745178190284, 0.16296249842678945, 2.6412280579204563, 18.810395616717564, 14.756993296067293, 12.849608315703847, -4.171286940236408, -15.95014594166113, -1.2506584992127578, 6.531140902877596, 25.627787336730208, 31.799758322670822, 21.463602527738313, 14.09163314354051, 0.1842873915356087, -3.740603752967398, 9.044226747697257, 8.239087326657774, -4.350769943462636, 7.822111324972198, -0.7096127682160542, 11.285547269572545, 4.328221063446327, -7.30474884963961, -13.58302209848564, 2.415914168450044, 7.059041107823454, 9.309022266436425, -21.10505252343232, -18.24769591930839, -19.045650469107798, -3.2347510103393518, -13.988153639798313, -19.00598372972908, -10.836333484380672, -1.6345291523376382, -4.4933434386302, 17.21372167619259, 18.002793510989534, 19.962705476985132, 11.433058576741985, 16.270749975626373, 15.37169936432407, 33.983199060376734, 9.49475967310605, 3.0679266555272626, 15.21969434578482, 15.090907028712639, 7.19830789069675, 8.55782530213723, -14.575232523193236, -12.506320580417313, 6.518435605339651, 4.705234576128353, 9.128750832805638, 20.968744624306993, 15.546542030541865, -5.629735089995506, -8.077921424859673, -12.981734656320661, -5.295956454992838, -14.376175939437061, -12.839712076008187, -10.163802198075274, -5.004999959442868, -11.01412688844017, -0.06672617690974647, -3.121076576926655, 6.173408724114491, 18.0365059476859, 19.938498877145904, 19.617611384462503, 4.11375221160036, 11.725636345285544, 19.164881949520748, 20.45319069588152, 19.567760303613717, 24.088385670737395, 16.26645229129967, 18.77967850412592, 6.198853671002336, -3.921936718380169, -1.9482878350339676, -11.421837558628612, -20.692087135404968, -17.412665033374466, -15.368632850121195, -12.529479723637822, -20.601269212842894, -16.635938007822933, 2.382297324258019, 0.08479028525067567, -13.507502968287794, -2.1335019449765706, 9.548257604126816, 13.34651835638146, 13.220709778251301, 25.882424884189888, 36.31358776233148, 23.558101445923338, 11.969370410244558, 35.08855760518781, 41.0829846548005, 36.171680569432525 ]
[ 5.658322676586051, 5.91828802131332, 10.708787767752128, 1.9428474329856202, 14.993274880356957, 12.069068447460179, -4.474594153452916, 22.905211485898196, 5.968510858369154, -17.886105678275463, -1.5142388420634028, 5.030340582196786, -9.549990656141564, -4.940653138884114, -1.885794622604862, 0.9385103897885363, 2.64466082878603, -5.215887736881874, 16.178188942145624, -6.987295264691791, -1.0857911654328967, -6.433161040917616, 8.79300682532302, 2.1970478217122533, 7.293430643683048, -8.408351330236096, -12.284651985402714, -1.2124726115191846, -0.16441554780716133, 7.935145808523723, 19.767399263919053, -0.8335383353974788, -24.988386606184193, 3.523661477546673, 2.7314410262653137, 3.864190963923847, -4.355332804695471, 17.98458712988504, -0.2720650924839201, -11.83644520971857, 0.4120419049340429, -1.9916074216601043, 0.5537097326130496, -7.74206460297518, 8.43690943042458, 23.75858237757158, 10.713180329519789, 19.04469858257329, 6.665269859618078, -2.3174970426931316, 9.759181718716894, -11.07030921350287, 0.6603040071335622, 3.792682393326124, -4.161461579284087, -10.719168293744387, -4.444286005904457, -8.991090092356362, 8.638633937659826, -10.36793574459174, 14.619989904854442, 3.807894646460277, -20.836337877272065, 5.50091278806762, -6.959335547901566, 3.9473449808178604, 0.6442405094118648, -12.84015584842824, -17.00529692420597, -4.245830682537687, -1.1915872327012453, -8.076211312588452, 9.251692980001424, 4.832209039188774, -7.91469412807061, 6.862001139842076, -10.582575771430042, 5.526714233225338, 7.328695510654504, 11.849296731703712, 5.64219167558675, -9.048056678439476, -2.180287692940183, 9.666337103759709, -5.728492791691348, 13.839900289445152, 21.881797780921666, -12.096909640101392, -17.33317954597585, -12.538529581406863, 1.6602727588605652, 2.0711328394109705, 10.1836445598985, -4.688005737951809, 0.7719194624476868, -6.395407636249337, -5.776686082605023, 0.7142765770322438, -15.788212114835698, 7.713178565806082, -14.243825902546456, -15.955499991252754, 21.220522745127294, 3.269564372266995, -0.16846607034648253, -14.875602799681864, -12.934356268219787, 7.7124432477245675, 16.3845115486997, 4.5777430193999145, -9.579620485303028, -4.00065545391277, 19.357584357618336, 4.532479778857932, 20.957072995242655, 16.99269447956136, 3.7680016219825, 8.686700402354267, 13.462357674351765, 14.412332414562288, -1.111672854041874, 29.08968198064173, 9.164265719876749, 5.8523343583170355, 0.35273073818396683, 10.781955710197376, -18.224476021716086, -17.375225231820117, 2.173694791261937, 6.31381949933325, 6.210377647659811, -4.773997444964483, -6.065065315688791, 13.820509227787092, 1.1379159427864713, -6.982660301648747, -2.422613616176318, 9.276449616767282, 2.8520762475129398, -21.99832808890002, -0.9540819020830171, 5.548131995203568, 4.704115461380285, 1.8120542998673315, -14.036464808991678, 2.2193355762819937, -0.749235774016414, 23.49793151461193, 16.007265978488736, -3.6006176264758345, 13.908291971547046, -5.915271761994708, -7.192156309085576, 10.829659777266997, 10.152651706536467, 19.847259370811646, 0.5886536564963569, 6.382908639800052, 5.390495068045778, -0.4804418903401878, 4.356528531499229, 3.388356533750214, -4.887302319013427, -16.89904007422706, 18.98051355920459, 17.78831628529802, -12.184071423222262, -7.510343447959614, 21.85751036169978, 0.5498084241891799, -6.53171431061521, -0.09973480654849931, 14.864445576406439, 3.606478433214451, 3.56069620086267, 5.635220839273812, -22.15941777457126, 8.41988246347367, 3.2708305744881896, 3.3393903067166195, 18.68415398306881, 14.020199754310935, 0.7161631215221963, 7.7499698882100665, 20.47173714184713, 21.1142204659126, 13.188158860280529, -7.116347138542974, 7.3157456311921605, -5.190808113572563, 9.501755203990562, 5.706667506352468, 1.2500969989049109, 1.5826016904693083, -5.665907330857134, 6.498719813756839, 11.999960415348696, -17.06197098884289, 8.792559383802091, 21.667692674044783, -5.282848403964471, 6.260501150800181, -2.920017322294274, -8.579558202714356, -15.060615875481245, 3.7345717889688705, -12.495670059673563, -0.5031197248881328, 2.4125384821902123, -2.792782106261273, 27.483933840430858, 4.186621868054855, 7.450793775497263, 1.7776322493560297, 14.840680298639857, -12.935432613836726, -0.7059946348031383, -12.810568643737064, 13.762847599850975, -11.430633676846403, -3.5710424632713407, 15.144386378070413, -7.521907223227194, -1.4409747032782767, 3.415044640491497, -0.36430108961848245, 13.242421639611159, -10.326972329151356, -10.67842175981505, 7.61893008428474, 9.051125741098254, -5.6106571483339245, 2.3180365636907156, 1.9668338123668432, -5.278482229335652, 11.460026127901276, 7.847991577725113, -12.6854320744559, 2.421049249382749, 16.684123580587894, 1.3349546648898092, 13.723489790508708, 3.2514372182764095, -6.133814518048398, -15.692570442621436, -11.129392213647613, -6.4889845677573765, -14.836233638494269, 15.058999015787274, 14.77821549551152, 1.0282015995798583, 6.932755217999107, -16.195435591721523, 11.911070866358918, 7.966490255855016, 4.588029655563812, -1.266579210840271, 9.88637711457291, -1.483673363644649, -7.913930381285829, -16.292704897203297, -5.104469828611549, -2.130642050853563, -17.477870243397597, -3.650859691597476, 0.1386103677326262, -7.862449071699975, 11.019792289377987, 8.526758881527115, -0.5504336723699738, -12.58877012926038, -3.5248690234200826, 3.419531436523412, -11.780724482595739, -1.3030276168024786, 6.180498423448266, -7.542696402638527, 8.938774808142556, 20.873462255540897, -2.953586419415385, -7.84202988793532, -1.5961025728115263, 1.6144780227468043, 5.916314495209738, 9.599135718469508, -7.985598134248047, -2.4262501578436564, 4.992079264395751, -10.71283603771683, -8.015585057669153, -20.458201216982648, -11.490477347400926, 0.26292734328767997, 25.07336572753303, -0.24044962782942925, 7.5846819578125455, -12.088586724426623, -11.899805446789284, 10.22875290395617, 4.970809911476248, -1.5535883207796672, 5.9074314126507295, -0.8158107710900286, -3.2381270337454975, 3.559390415235636, 7.217921805902663, 10.74263110514692, -4.953103582262723, 11.70632830960107, 4.655497577556497, -7.110386648658093, -14.801330866108554, -2.6572106763812933, 1.883261522682071, 28.631011070653276, 14.861147520999204, 0.03875645676303696, 6.879133079957217, 1.4653542211698292, -13.819439540663723, 8.263729740659238, -13.934600538656861, -13.859145501897748, -6.445545906655088, 11.7280326085109, -1.0596597228920352, -5.370249965589969, 5.93583938263222, 21.46879607374098, 9.348024871331116, -17.982778177396135, -5.178589749556657, -7.210893043508523, -16.031724968977446, 3.620423956060691, 8.653777045237, -0.2312438972838743, 1.8502433368076425, -10.64396547848342, 1.7891710796957299, 0.44098408052477095, 9.49292594887243, 7.170293443457432, -7.643374201582647, 11.486522740716799, 1.116726330275509, 4.291322551583384, 3.450504214099275, -6.674588690735364, 9.46114605792575, 0.28216389204649706, -10.330577223344685, 1.6595838578056323, 13.878926395990705, -0.9088420444512142, -2.909512944740489, -13.577241244307649, -1.0440682821866125, 6.421715523658364, 15.304484877256554, 5.91352707019942, 3.7994997486334494, 5.631153694620644, -9.09995683652426, 0.4991375334821544, -1.4105561320165618, 13.617658517013647, 7.649490122336155, 1.2262554713359775, 12.471576680850195, 6.578280911530625, -4.444036695002815, -4.552886051741165, 20.361295680543364, -1.4929217215469142, -8.009283964768992, 5.332447855735067, -22.936799314147564, -1.7781609791037063, 6.580151248180176, -8.507701542940266, 11.921081779047883, 14.688429321979584, -24.189916293045613, -5.069562676942967, 9.303124096644638, 1.3621186647883168, 5.098225142080476, -0.12705163668120023, -1.6080175823352887, -1.9950401818889143, -6.90894509800593, -16.800568290452116, -5.665665588233677, -7.474677179750194, -2.251765692337833, -1.5612825120285696, -14.99043492905781, 0.005900096094263896, -8.250918642096067, 4.149446145769802, -2.000602335096984, -15.292354471248048, 0.29871040224490764, 4.124883412550992, 12.608575287564928, 3.299900194187033, 3.3570096730161696, -8.540494361382503, 15.545927203139033, 7.495685272976677, 4.73418392199329, -7.9714610530374435, 4.765087175927485, 10.836638597034684, -14.95814212596738, 15.70891933894061, 10.02826949539789, 7.696082162533055, 5.891509812159797, -1.9624526084569096, -4.8207111556805335, -24.933535787896055, 6.163862579507489, 2.7262544970327163, -19.590175683914104, 0.9314958236132944, 16.598752184102427, 10.98248842993712, 9.520967295640883, 10.1473209263936, -1.9735349605202854, -1.2884583367269307, 13.354193145880744, 13.818183042745156, -13.694171728255979, 1.027855014109804, 12.572111398229488, 2.4985314014250255, -10.528661464249161, 3.6845964243635647, -2.7126851368010976, 1.8045787375968503, -8.423472096162707, -6.509253635563439, -14.145555265383873, -7.763441165948039, 5.468669259448364, 10.927873614850364, 6.254909909943478, 2.3188627649963527, 6.781765974651829, -2.521082524255067, -14.858702205135144, -5.070993715919398, -6.256527136883892, -15.017449772227595, -12.2762779286839, -8.567574657657563, -10.52130938833597, 7.747700026947417, 21.850603155055232, 7.1426030014279345, -17.27582292343321, -0.7011349428204243, 6.963668317268279, 8.385899782586524, 0.61416241253707, -7.828069211105812, 4.344699791270591, 13.460882391764155, 5.627180374599507, -5.907970567053453, -0.9648368947035725, -3.0890141851595194, 2.819775486730954, 31.420577973806147, 9.231204763967005, -31.970672277196282, -5.83036424034555, 13.272992443708125, -8.882232498138688, -10.521860275928212, 13.356513458636629, -17.301005623044983, -5.839413508927674, -5.197856025894035, 15.49424949752182, -13.158195540475894, -2.0884184946248974, 13.550270393577554, -3.3424834586538528, 11.103767766387866, -5.167497320808981, 20.102112456280192, 0.24093901915780025, 3.5122079194413742, 0.5696132957239239, -1.6570362558367222, 16.053986375277816, 7.727530643445589, 11.272572126917556, -11.919745573412364, 0.034095893277088285, -3.2242488491005026, 28.02409473884323, 6.998845360181852, 2.904805895370044, -4.810616809619077, -16.96517414026491, 2.6856308921456984, 8.613666448192777, -4.591951381959463, 6.529022278254985, -0.7291790066029453, -15.478240705047728, -6.274772286114503, -4.773098207803982, 1.8715323735668838, 1.290726712637954, -15.071421891099058, 5.997323089597945, 10.458808898072748, 9.726809889618883, -1.781278386011635, 14.107295855894826, -4.193513748592358, -1.9397892080538568, -14.727140519535093, -18.03598128919249, 6.876035617303598, 4.655282411370098, 11.455176969299501, 7.162595490439798, 8.677283541261419, -15.400789467291228, 6.913794637715251, -0.353465626717111, -12.22693232405196, -7.122421629550991, -8.809092185978244, 8.47901651220719, -12.444799308998421, -5.250089260503168, 15.58602319575557, -2.834245026370287, -4.436883262211989, 3.3748306944684754, 8.895839320380754, 7.589744241671283, 2.2150211530640087, 2.275003394679702, -2.00170463648521, 10.27532847256333, 16.107753999104823, -7.256293765762699, 10.882028648755325, -18.50177185657421, -4.545892456531977, -2.3502800283648217, 22.159621482140206, 9.9223513333469, 13.705038033796686, 5.229789852608538, -6.861761503173992, -8.574482013011183, -13.135891953204695, -11.108773004788846, 3.6449847942318225, 7.932549599092299, 14.103562052561884, 9.881113892710825, -14.110687553768484, -11.30512654916712, -18.151674146877742, -10.488223474666052, -8.1547041788719, -15.270072547738211, -1.371024615008476, -0.5161129345828666, 18.874175844413163, -3.15005500231385, -15.79608433563392, -1.2791346801335086, -12.263797216030179, 9.362731806824819, 7.650231322634424, -16.141966984722394, -4.536482876300488, -21.295328227009197, -6.719742359342893, -1.0925272245759483, 3.2664378874757287, 3.9720104643255674, 0.049278860720224416, 5.420925229471304, -4.644180961838615, -2.7258630271234, -11.677461844895523, 10.958759184339678, -2.5818023470488214, -8.509592422930853, 7.904325100350454, 2.641777062574539, -7.638294393964614, -18.37472513296094, 4.367190651902174, -9.044276132592454, 0.4169082772909227, 6.039941903097168, -4.051585250928905, -5.874438680643221, 5.844434894259306, -5.441887459434605, -5.390575158534463, -7.959319892699678, 2.6567061584298424, 4.617351644715635, 4.45943291060099, -19.83692693805752, -14.800510288042775, -6.390203273358306, -11.843464426293313, -3.0739360533484827, 17.189257556536184, -1.4501963231371473, -3.3166919439480074, 11.692900450817584, -7.452057315311224, 9.412378476133096, 11.121092681641445, -4.541436973634942, -14.35178210083331, 7.152318504161874, -20.90604997454325, 10.670677379699356, -0.6462613826971741, 3.72308078551412, -4.918119130738401, -6.091100112542671, 10.70284770817117, 5.417810728529708, -8.326541244005025, -0.6527453031272492, 26.409548548894836, 10.934673499366811, 22.804631927151007, -12.441984777914922, -6.9084208406428385, 15.582399532120673, 4.93582623760713, 0.9068214537558521, -8.493422919079418, 4.799077593015609, 8.324206796273748, 13.911064586713373, -23.627774579455338, 9.12035850787969, -6.041560036464458, -10.311750138183049, -7.857844652940774, 14.412100710379164, -5.626491186098643, 6.994399311065229, 3.2304052216462265, -9.327359124287087, -3.5463595265689136, 8.713627123838037, -10.221793050932746, -17.913198990167164, 4.801550551095447, 3.005847716211024, 4.182807737055857, 1.751367611642837, 8.975296246954725, -12.349808236403078, -3.171351574624701, -2.757924193975852, 14.970149131371043, 8.34555156461733, 6.8335008883275075, -25.47260982415389, 1.6626812706358236, -4.148237050649803, -3.068997327277506, -5.488062726445153, 2.8991018179495796, -14.143164956071484, 0.9432866014826704, 4.150935282106442, -10.054380292371201, 6.370957156530915, -10.579883620316272, -10.007066008147401, 11.198412580755315, -11.404978760956991, -7.727038110874632, -4.3441305615528645, 3.6131387207712895, 15.369656024586218, 9.161087882765518, -8.144242275630107, -9.724173380293426, -11.471214449704044, -14.246118686762818, -6.863916292157211, 2.3694227429796944, 16.515923069212732, 3.744178930795381, -2.139784844841434, 12.042702950176157, 4.774546594871842, -4.769572058153765, -6.609758249748656, 8.939293915293122, 18.51258295908505, -10.916522160233722, 0.7260807796778166, -9.4204737316568, -0.5233970127298948, 10.812365540783244, -4.827597768671965, -16.572590959859685, 0.7040536339945003, -14.46697465605556, 6.100711791217449, 20.584143162524818, -7.7378937449828635, -8.272626474452206, -7.673432804610449, 26.8825383335563, 22.7060464009338, -4.2016319509007936, 19.392581032323463, -6.818452205868205, 11.940795176968406, -9.607309562028545, 3.354523410856931, 10.73948037922088, -6.8618208873972595, 1.867957468371087, -17.929694506962925, 7.81988713377841, 9.26568230358579, 12.027395907457823, 10.449458987325743, -7.93487539182367, -3.633501977871632, 11.486194038730671, 14.210089631081857, 8.082670188044977, 11.976286349220288, 4.8449906920988495, -0.9909182083393757, 20.70559703423159, -13.681930585995492, -21.474087938038615, -19.143247590101044, 8.313773823677204, -11.266501464995944, 1.6922065490097693, -7.008137913787087, 1.0927872227971918, 5.236335787908995, 2.1756775283161565, 6.411283380370874, -1.9884631362530456, 12.692686196492046, 8.765574148084125, -7.184254945416938, -3.9155138257314355, 15.471152440004317, 4.658622199716402, -0.04287113562156819, -0.48147331269464244, 10.687027538238773, 12.897553147053458, 10.748405068726004, -3.580391608445038, -0.7425663998397309, 18.61316304354991, 0.34505379742399866, 1.2080641190947357, 4.542382493818385, 13.169558489007507, 11.806294571842672, -12.862211618816326, -9.559405847242624, -6.3349836603892, -9.255707876525676, 4.746831436875292, -11.245833426854599, 6.0350494426859775, -2.805708910653957, 8.621664232328722, -4.219239165154218, 12.775716119712117, 0.5805276778502133, -7.883959148144436, -13.46377697359994, -10.498241559815588, 3.563740748565307, -7.695209997254478, -7.804246462555753, 1.509187397762962, -15.85261388412898, 2.4922182364961625, -4.636849121881596, 13.59838004846884, -0.5272412921519067, 0.3582209735921583, -12.951061774106691, 2.966892867433736, 3.7795044833539744, -0.7106402389494573, -16.977181183214928, -3.1729584559965183, 0.3357034998924374, -6.1505933930107926, 3.435058715897406, 1.0778863395075804, -2.292021176143958, 2.3850226332154016, 24.119793725511474, 16.46056773712973, 7.446985307109793, 2.0656808547717476, 11.603622629692074, 11.621988674124367, -26.014881797802985, -8.702461958885467, -1.5077523253639513, -4.305584923816456, -16.60867604078619, -6.812356947913434, -8.996531708014196, 5.454829059139686, 1.2120359979439725, 22.83422999301574, 8.573612707504664, -6.937420447991829, -4.355502330854968, -15.761045762312746, 13.753186577421795, -1.8252955296553595, 9.191139344026507, -10.308056340821055, 10.34375416503695, -9.422202045001836, 5.917361770523747, -15.030778767512793, -14.566816565493458, -7.357412957446953, -1.6855038354913243, 2.3768571579970645, -3.5089206116872544, -6.2142972746028775, -5.857839696847912, 6.705294169158779, -2.232849754594712, -0.45685578594347376, 3.6913113087034857, -5.224234311101968, 1.8407002327420994, -5.380018302968567, 13.905251364894475, -5.473061325114825, 4.593172462342756, -2.8453807567361116, 7.845095054865531, -5.365890982009331, 9.305044977440645, 6.280380668223249, -2.3991224622638647, 8.793124800733798, 8.957990472635348, 13.38839859725859, 28.300810925221366, -4.484324602567325, -6.478548668180638, -16.88177947790105, 11.645986755509448, -10.000719879939012, 6.400194949923342, 4.581083489152383, 10.376402270824855, 6.211196607232575, 6.67480734080109, -6.5166387839035025, 3.6753915834993625, 22.337077826132877, -11.212760231626739, 11.438304975635436, -15.593782990807702, -5.478126019894905, -1.2091901301966521, 2.059122846229077, -11.662833415411923, 9.940696995947672, 3.803592665342918, -3.747243397464131, -21.746985594230914, 1.9852113409370165, 2.152459624968148, 15.031145309472182, 11.469165837275145, -8.909570661973103, -7.16097538986743, 1.6925462278136645, 5.746057402829917, -1.7900975132856551, -0.7032876345056815, 3.0954500817534627, 10.480948743016931, -8.187638803221322, -3.5512302919469754, 12.951552902367773, -3.6322174641390825, -19.93383636940618, -17.420322290313145, -0.48061098547658343, 4.940000793060334, -9.06654415861638, 13.757881216044396, 2.6305470746592317, 5.218159042959173, 19.64154271853545, 25.286278949240938, -17.001408343613733, -7.118565943530789, -12.536306987761481, -1.422163936054993, 17.072804543513474, 5.142179466216533, 12.971555802549156, -3.1466839568687575, 10.008270425321625, -0.3335689898375753, 5.7465237055619856, 4.365803630300031, 9.51616998319224, 2.529815850633797, 12.744786172433447, 9.048542408556303, 1.3303096788866542, 16.05150973696893, -5.322313271249241, -11.52017838082382, 4.5783769220208015, -11.963568187702268, -6.456577054619164, -15.046763784183058, -4.7646931251169145, -0.19180581737257985, 8.837600143075765, 5.638395036668493, -8.441678176841592, 5.0841023955083084, 0.8687930198945817, -4.325386545175275, -16.823935529046643, -8.508797588791957, -10.306688813457775, -12.622222503011113, -0.6309336025096248, -0.6466147132292318, 1.3655752224862734, 4.403243803770029, 18.110929745009077, 18.121769673578243, 12.42537389739008, -9.634158884975603, 14.411118520358286, 7.827988621172602, -3.346902475737291, -9.107801578090864, 11.788646254513326, -4.108608267540773, 2.9389163244264913, 34.4815171118735, 19.522603406119472, -9.407085558841224, 3.7386671165078402, 8.137805435838402, -1.9787576286004316, -0.09807222357912977, -6.651502581751426, 5.2615720387647915, 2.310952678232384, -7.8907669695966325, -5.948245135848358, -7.136117316452686, -3.8722115067893306, -20.05589393980073, -7.0946493715332695, -0.3988289668831978, 9.47991293939696, 2.2262186338727075, -6.765699160941825, -15.907796195072796, -3.804671261572406, -15.5110627932882, -10.217162721972286, -17.616158824169062, -5.891112550622505, 6.281456131164218, -3.533231612492399, -9.44202402293676, -40.083779472743075, 11.52780858549783, 11.863741755430153, 2.7831846234300777, 3.1554607365408027, 2.1807430343283816, -7.90722140142566, 2.6902989137701154, 0.24387894558245957, 13.628807090896274, -14.949478319214847, -1.7717031638762637, 12.336340045741688, 3.540413195151593, -15.674912316100356, -13.977394684921133 ]
47
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Autocorrelation", "AutoRegressive Process" ]
While it is hard to directly measure the autocorrelation for higher order lags, the autocorrelation at lag 1 can be approximated by observing the time series pattern. You can tell this by checking the sign and magnitude changes at each step compared to the previous step. You should compare the two time series to see which one has a larger magnitude in autocorrelation at lag 1.
Pattern Recognition
AR/MA recognition
467
null
Is time series 2 a lagged version of time series 1?
[ "Yes", "No, time series 1 is a lagged version of time series 2", "No, they do not share similar pattern" ]
Yes
multiple_choice
[ -0.04999289766035796, 0.03756011753559556, 0.06802201913481074, 0.09363175591051943, 0.09662533902903869, 0.12205758701758344, 0.16783250138910819, 0.23046868685947886, 0.22735405360739988, 0.2321297904113451, 0.22733607246757132, 0.2985196233155286, 0.32656550557067926, 0.37073784453997716, 0.44481193647221945, 0.43084591544121964, 0.4100974274351536, 0.3649929796846814, 0.33668589940812965, 0.2814080591794435, 0.29301876285586687, 0.31518472616861914, 0.22933479153771524, 0.19977648403256054, 0.23200425667779168, 0.1807133211096692, 0.16465124282006874, 0.12502657746557563, 0.17234404365721587, 0.10591490294130025, 0.0986713274810961, 0.12730240127408668, 0.1585849539391709, 0.15252668289094445, 0.17172701324162107, 0.24468878314405657, 0.26526110441299544, 0.3683100078312025, 0.34338385927370246, 0.3622158176963503, 0.404012535292205, 0.39640385935470684, 0.3828111031835811, 0.41362001440415974, 0.4156349505783856, 0.4131576937517076, 0.4348005481313973, 0.41368394183493234, 0.43147201961862, 0.426946855750585, 0.38616671941900793, 0.3717271507579106, 0.3736808303965703, 0.36642100937136207, 0.3395821693732377, 0.3533245235764419, 0.3802535356572056, 0.3082422220177001, 0.3505751689616295, 0.38944848626256046, 0.4881965317744331, 0.4809470074765244, 0.4472303964733591, 0.40206726914057844, 0.3719913590984001, 0.42119430504350114, 0.4315901424331247, 0.4303618375783539, 0.4232358738323541, 0.333766605686274, 0.2883626739263537, 0.32510756332735957, 0.2949350004197182, 0.28698852092693944, 0.25172334189262285, 0.19400955476188406, 0.2453787322530102, 0.23761463188599666, 0.26358312142966456, 0.2945672422540493, 0.2996665754265661, 0.3065668392755577, 0.37360116845988356, 0.33275511595719265, 0.40635572444138784, 0.3932462620515381, 0.4369636376577708, 0.5141058402304609, 0.47780711958863215, 0.5206716852610173, 0.5818337143435179, 0.5678472759873593, 0.5993136660541653, 0.5932394962301788, 0.5617659105006155, 0.584599583825206, 0.5773740454091107, 0.6410864142005112, 0.661746909373587, 0.6510972303288428, 0.6438596511424676, 0.6163620784561159, 0.6571477278044258, 0.6402123349014508, 0.6665436567134313, 0.6444901297531489, 0.5907346907426323, 0.6323064328727677, 0.637826006341024, 0.5595945437036781, 0.5618001128750116, 0.6054712279170944, 0.6128380547349649, 0.6224635160440855, 0.7260337591520161, 0.6881201056183393, 0.6891061410568119, 0.743973368699054, 0.7901427088887301, 0.820172698642643, 0.8438669231432796, 0.8074434515037296, 0.790392893631925, 0.8415392272094407, 0.9748008195841267, 0.957998414205747, 0.9532686998875173, 0.9533017564990091, 0.9126024709744966, 0.8905081902442213, 0.8843018657392011, 0.9060298397178086, 0.9316022118900099, 1.0231210098242345, 1.014023957133645, 1.0294740763325174, 0.9666043857505221, 0.9811361264455583, 0.9814741842643556, 0.9304329343977881, 0.8937598805026377, 0.8989901824533577, 0.8912509326407907, 0.944883897069945, 1.053468360024399, 1.0428660202258526, 1.0976131114358068, 1.0398672764971233, 1.1197466473930335, 1.0878661165541947, 1.0361489032927482, 0.956159872781152, 0.9833826683984854, 0.9719263426325679, 0.9433073750755162, 0.9512075809592743, 0.906746958155964, 0.8400220702621728, 0.8648943255947473, 0.8068562993462971, 0.7790487369246013, 0.7753335032185029, 0.7444566575436873, 0.7146576584620665, 0.7779654955841476, 0.7360469695335116, 0.755337301088789, 0.7147051238549226, 0.6764842529337742, 0.644028554341419, 0.6128606630703741, 0.7194961502422192, 0.7613989663148122, 0.8179667454390329, 0.794109555519826, 0.8466347674493038, 0.8026700969085748, 0.7499605391933624, 0.7333194275988998, 0.7572141067579182, 0.8336852770651889, 0.8170559248018046, 0.8745789088534095, 0.8809537102664151, 0.8776864918177038, 0.8963260467424181, 0.9494666003837356, 0.9503145388772365, 0.9450283409803268, 0.9353848766209755, 0.8859119638962355, 0.8673158970211764, 0.8528895650404511, 0.8808302342271356, 0.9302617276071878, 0.8915509041410381, 0.8621736821749993, 0.8604047714856173, 0.730940927979707, 0.6948511231303602, 0.7837045058289958, 0.7818258247851665, 0.8643953003408865, 0.8453552215156549, 0.909989218827772, 0.88697047886101, 0.9270115810874319, 0.9505795155085781, 0.9134512041853158, 0.8760668252795664, 0.9323168776104095, 0.960898710014708, 1.0286968275764001, 1.0557161515256621, 1.0553005631258134, 1.074118308663634, 1.0706189106380537, 1.0598419866301703, 1.1478245889480942, 1.2043814836833295, 1.2004807598016218, 1.2256540006720487, 1.226004361324924, 1.233548264651331, 1.126293126499532, 1.1746857760088507, 1.110995686433489, 1.1342761618140729, 1.239954171810195, 1.2557469439643358, 1.2716463215542329, 1.345252273157444, 1.2874358993940918, 1.2860799768222584, 1.3147357894681855, 1.3409085074007272, 1.3302491448164209, 1.303777738729152, 1.2617609356210442, 1.2545853028027827, 1.2097889264127542, 1.2427404460583704, 1.1988353461589436, 1.1682229957272756, 1.095607434487433, 1.077519552794111, 1.1757451564140478, 1.2010694397875268, 1.1874222433009025, 1.2143861886654388, 1.1873276976779472, 1.187291344252844, 1.2139206682630694, 1.152472483424194, 1.0839278848632958, 1.1024701822642757, 1.1168384111981597, 1.0780795297680559, 1.0702909082515781, 1.0592043453110949, 1.0278993560735914, 1.0345597288184827, 0.9960019074264878, 0.9348457684084572, 0.9072794175645882, 0.8230694002225664, 0.7867008242537356, 0.8638318992621088, 0.8412410095983593, 0.8519855864678496, 0.8574897705760347, 0.8283656232464766, 0.893107506274894, 0.8940236957617753, 0.9368996903779061, 0.8970572631652373, 0.8632712211422271, 0.8568578066698419, 0.7602848991672421, 0.7339302218387422, 0.8112930738037338, 0.8540581875937945, 0.8802490385150558, 0.828646495616449, 0.8864602081973241, 0.8517301480803179, 0.8619847165373096, 0.8524856263493746, 0.8754245595671519, 0.8383463816829878, 0.7810939642580602, 0.7450328692327823, 0.7088950919476309, 0.7309394606080634, 0.7051761962604521, 0.632254467205776, 0.5864840909614198, 0.5622837966576659, 0.5798603252368183, 0.5171536133480651, 0.5160213473395574, 0.5472624946613139, 0.6092994330682407, 0.6547966442456175, 0.7034275972165417, 0.7468480751528548, 0.6747443476387639, 0.6504113966759495, 0.6785495915055211, 0.744706380855162, 0.6980513769080211, 0.7187246593767646, 0.6145347891933312, 0.5680580052946788, 0.5378667187047295, 0.545834676820111, 0.5499479815571682, 0.5216420175382315, 0.5513138255853358, 0.48327007352397844, 0.4548675058714725, 0.4640333715990668, 0.47702055165748897, 0.4972660671056441, 0.4396923870836391, 0.40057197771686853, 0.45044090857200386, 0.4063779907407238, 0.36645813735131855, 0.38794690434807994, 0.372258688576319, 0.39840705994551967, 0.3687459154124337, 0.3307664142415007, 0.304770896158888, 0.22470387532584501, 0.2582048065094062, 0.20990353728359168, 0.26707780822154803, 0.3009800354796759, 0.33949666888670804, 0.24402813692478448, 0.20065904370322052, 0.284218826902043, 0.27520255610779154, 0.30346124872686603, 0.3343811452288792, 0.3567224934091696, 0.3693520014075891, 0.42248222491171444, 0.40600377662950077, 0.4253506774940989, 0.41267493641397296, 0.4721111332835736, 0.5248233679538643, 0.5196852385899335, 0.5328381163605926, 0.5145637805357487, 0.4581381972957621, 0.4559799425586079, 0.40983899953485825, 0.3753009208711997, 0.3615601133385363, 0.4260737672323155, 0.4098562067927953, 0.3156518480301679, 0.3499485260919966, 0.356773128076303, 0.46451143914865156, 0.40229584074679353, 0.42165622832061445, 0.4056343754783872, 0.4318680536829669, 0.43010676570684925, 0.4536592130962522, 0.4194298251664132, 0.4561180251001832, 0.4450069224853649, 0.4466138041017241, 0.42821038664613414, 0.4608826094347849, 0.4001980954215493, 0.33787558360526937, 0.3789055318762513, 0.4080470717014475, 0.43276413464466523, 0.5108654028282256, 0.47009942591788517, 0.4547164205038873, 0.4798904559803584, 0.4737307421748041, 0.488702333342219, 0.6004181349803113, 0.6527144940590961, 0.6795008498939574, 0.6865535660385784, 0.6920000326004712, 0.668481752730935, 0.7512791154621665, 0.7198813008761057, 0.7727067322317708, 0.7749171821473997, 0.8589606563799028, 0.8273417952912296, 0.891253981095336, 0.963283815345855, 0.9523674802070298, 0.9512589436555691, 0.8448809112348412, 0.8888955220387067, 0.8435335893518424, 0.8357792510937997, 0.7966742928024688, 0.8002460717310595, 0.8463982030399687, 0.7513933079513245, 0.7253692000577567, 0.6932994589912858, 0.6101947582741919, 0.6599327403216083, 0.694356064361668, 0.6823330130337676, 0.6780173149819481, 0.6500837281142683, 0.6655566517681829, 0.6749637973936953, 0.7334832522729526, 0.7283969991961066, 0.7596324636909633, 0.6852348609140363, 0.7165912090317149, 0.8562735811890811, 0.8648474450229254, 0.8312640866095768, 0.8361961942261203, 0.8009344258518546, 0.8364732534421492, 0.8952694016936723, 0.9268372909552154, 0.8891452781560176, 0.8569112218148422, 0.8281120416230995, 0.901403990787915, 0.9459201671202765, 0.8842314633645133, 0.8328488073524389, 0.9064574881315935, 0.9092463784682038, 0.9073921331813715, 0.9063355769184501, 0.858891934789164, 0.8264918167091857, 0.8345226497808925, 0.7653263889037792, 0.7752987122528706, 0.8301592969070466, 0.7663514190451481, 0.7062659785051253, 0.7578931842203391, 0.7851618829360679, 0.7708745534589654, 0.6900182705701983, 0.7031915652317019, 0.6964246942764486, 0.6861083013216974, 0.6664461049511421, 0.6907349493108494, 0.6634221248792301, 0.5667923501871741, 0.49362761449662024, 0.39362315695324523, 0.3902108720665277, 0.4934523632392305, 0.5327731159679183, 0.5972916663086875, 0.555544513478895, 0.5814604649798348, 0.5738046018136135, 0.5463697805721521, 0.5399613777770026, 0.5230200398743146, 0.5135390976049506, 0.5091630801507954, 0.5561848371476037, 0.5752908544331155, 0.6319770733167374, 0.685955548265774, 0.6335476051792951, 0.6258473579285692, 0.5736398691927254, 0.5774960867690203, 0.5272968798248615, 0.5418530003924159, 0.539829569832718, 0.6199782914893814, 0.5593475520914352, 0.5552604085138287, 0.5618205333741961, 0.5864469331211506, 0.5877778102272442, 0.5210349657134719, 0.49524417539892407, 0.5643729527538248, 0.5131896446718649, 0.4875327864717949, 0.5313046540960424, 0.46535810128789845, 0.4547155310267108, 0.444083094152528, 0.5015938831005831, 0.5143848529859261, 0.5039476381165885, 0.5207618928983828, 0.5456177768748207, 0.4282739196026387, 0.41159197947761283, 0.413376990510426, 0.49742458188334654, 0.5850931443197886, 0.5614008707983108, 0.5504805126637574, 0.5652934577092802, 0.5901439663852435, 0.5407966153804494, 0.6022479231511633, 0.5806728939777744, 0.616871578697218, 0.5696858027059292, 0.5556659697118047, 0.46908348840210773, 0.4600651509185184, 0.4535107913518353, 0.4582845985363125, 0.4422165096223847, 0.5102595284847989, 0.5250705164344573, 0.5572385433617276, 0.5769593667747901, 0.6059003709097887, 0.7227571197895887, 0.6856076669031365, 0.6057740776571733, 0.6409539824658246, 0.6389535989290447, 0.6800137727529796, 0.6766794824747481, 0.7369194659289171, 0.6705516915842733, 0.6486353043996294, 0.6952551951836665, 0.6922401246550143, 0.6533894381858306, 0.6402816884548709, 0.5625414824703162, 0.5861501335386728, 0.5166613397562457, 0.49285037677368243, 0.47764211855468813, 0.5691401650614047, 0.6347134064951147, 0.7493631199862885, 0.751968728597796, 0.7746928125140066, 0.743368754946902, 0.6992020408143591, 0.7095687536652496, 0.7042588113521357, 0.6679425562018566, 0.6389731659469966, 0.6443540544720459, 0.5400361719590575, 0.5014720050650936, 0.5000101270249536, 0.45069673849871567, 0.4236596526993065, 0.35622624469768177, 0.2808212302305405, 0.25291522598639515, 0.28613991490156215, 0.3559862992770102, 0.34832295542728176, 0.49423942650850544, 0.5806299379505515, 0.5614462728620324, 0.4979268732890818, 0.5080887014806083, 0.5195088098905469, 0.5716865173981381, 0.619431161992513, 0.6067523453396293, 0.5808812101346987, 0.6029465248526643, 0.625171854777425, 0.6307231184538387, 0.6655599921151412, 0.66434933923141, 0.7757541813082257, 0.7539128936039347, 0.7808494926661079, 0.7266773049648801, 0.7716135201448592, 0.753426883783674, 0.7824914752330931, 0.7183555113860631, 0.7394866559870622, 0.7795476254661818, 0.7826220450811854, 0.8105785263376463, 0.8065736057365022, 0.8038861797990905, 0.7977764842503231, 0.8335975422639571, 0.8472822992745872, 0.8054441050567924, 0.7862968760116551, 0.8976081901630885, 0.8465224013473401, 0.8560535112666672, 0.8505302924481282, 0.8269251882827291, 0.8022258270959103, 0.8145251675982993, 0.7578128100111203, 0.7962916165607138, 0.7305690855404342, 0.7551891660439672, 0.783632734081139, 0.733968626838168, 0.6984717445365138, 0.7592521028972605, 0.7428921006143545, 0.8232277170425097, 0.8656330367006166, 0.8543577518018257, 0.8495793201279946, 0.8448086924145339, 0.8241030828510439, 0.8685014991090753, 0.8818068240053747, 0.9446396320430751, 0.950882365449827, 1.017206845516399, 1.1410817264669995, 1.0877877940985576, 1.0762179029393855, 1.098090722950503, 1.0254344010971967, 1.0020171182556936, 1.018933272032886, 0.98074625939731, 0.9813016785882137, 1.005488535609671, 0.9958444524600278, 1.009382276833863, 1.002404734647521, 1.049128424999307, 1.0703093982737857, 1.0882286676727928, 1.1341061038992284, 1.0291846515571843, 1.0452996711002318, 1.0435866021916596, 1.0839124407849285, 1.1552104731835549, 1.2079138159961613, 1.1305853804406383, 1.1144796793519478, 1.139154163034846, 1.0562506693454206, 1.0645374389182154, 1.0328832581932241, 1.0713871216709423, 1.0562259684787543, 0.9865655244027942, 1.0114448097319182, 0.9831753358695416, 0.9508196946827725, 0.9316538675258154, 0.9874494527415112, 1.0302142041554578, 1.0374247425231626, 1.031147989091834, 1.0234192829147912, 0.8897549930175965, 0.8996306102033252, 0.9017653895558293, 0.9460026853631311, 0.9228823570297329, 0.9499846850575504, 0.994189079517954, 0.9491980313010026, 0.9551359812044438, 0.9738308887508051, 1.0152618564669054, 0.9440170548279126, 1.064893039798625, 1.1379883811714753, 1.13431751932041, 1.1795574906155188, 1.2940165893529838, 1.347831889027543, 1.3163185442013745, 1.1964198631404275, 1.1757769142734809, 1.2131929073419474, 1.2022728425439675, 1.1677283102437925, 1.0869674271457084, 1.0642687584864263, 1.0531991699864165, 1.007902372029102, 0.9981020835808162, 0.9832972894908063, 0.9882173256791587, 1.0452288596505153, 0.9984291967067521, 1.028817510537651, 1.0509149159917346, 1.0432361471705964, 1.0302600232114307, 1.0103222264178229, 0.9886040460588418, 0.9394096520558752, 1.0141065458962435, 0.9668581472061821, 0.9764555347897375, 0.9853196251825164, 1.030332537917915, 1.0144889777155925, 0.9726974110571917, 0.9316990747470008, 0.8306296482146134, 0.7949767996617767, 0.8104786480020347, 0.787948147021875, 0.8111465596985603, 0.7812227152496615, 0.7331351545740808, 0.7666824739762835, 0.8370424005884959, 0.7937180424767442, 0.7751071887978331, 0.7100506745428377, 0.7682507625556348, 0.7992466475295484, 0.8880083640153134, 0.9038454150052054, 0.8747392275021584, 0.8865165777386631, 0.8275426444799843, 0.8709358816467888, 0.9145108731644493, 0.992076082329154, 1.0373035057579476, 1.0910765081549645, 1.049257606335804, 1.0634305564498305, 0.9980104360999998, 0.9433880817319836, 0.9750660045260596, 0.8946844329337816, 0.9414684426211595, 0.8845099608142596, 0.8887070742022061, 0.8859937067113006, 0.9066682665536867, 0.9040066593735727, 0.9135992009043042, 0.8442841789984165, 0.8589252323726778, 0.8719182305510393, 0.8829729993900103, 0.9130969197839504, 0.9132151703641777, 0.8992501431751633, 0.9335058412098948, 0.9293854301586872, 0.9375866875187195, 0.9842164501124522, 1.0420781936284524, 1.0466971691302018, 1.0177868407696782, 1.1167240673025172, 1.0986316004309031, 1.0589164204894272, 1.0371265431296157, 1.0658826202836902, 1.1191401139039925, 1.059996471504549, 1.055805089526196, 1.077892718922423, 1.0252467004701016, 1.0546944477316762, 1.093818574134755, 1.155318450280035, 1.158303558251307, 1.1949337202491803, 1.2325256667614046, 1.3064553443579672, 1.3411884214635876, 1.2974722977144293, 1.256515757097125, 1.2312480255787814, 1.1582119243454725, 1.1109320386895252, 1.2423401038425608, 1.2306432339669993, 1.111809799879985, 1.1126239499393116, 1.1089732373838694, 1.1413723039887096, 1.1792089868707314, 1.2340929277014343, 1.1450542906866428, 1.1684507935192976, 1.1579809354522033, 1.1091967425451636, 1.0688881428614545, 1.0724377030609225, 1.1290298241213799, 1.1776665709667928, 1.2166881554600186, 1.2331129948039057, 1.266996249072685, 1.263591881658077, 1.3459288677699641, 1.428530028620906, 1.476425805661753, 1.4132070557178251, 1.3605707111324443, 1.3971163930809742, 1.3650052786982805, 1.377771113979653, 1.34191207358511, 1.3502796273594142, 1.3096301512592037, 1.3042384840246601, 1.3109554294860721, 1.3045945022261645, 1.2542021273661295, 1.2706385854970694, 1.244717426642759, 1.262167701607364, 1.2268531455538763, 1.2593229670999848, 1.2668879220716667, 1.2896136467262878, 1.2928110476665768, 1.298527941057946, 1.3095185749069562, 1.328574101652832, 1.3703864638852206, 1.3824694933661479, 1.32559951705388, 1.332853100369866, 1.3757260057050753, 1.2851559009974738, 1.1596752147940987, 1.0729852477153465, 1.0840591457375812, 1.115066901043604, 1.1329996774495683, 1.1051036481602419, 1.1905230300004845, 1.1684456472590055, 1.1109539547077045, 1.0965933885572332, 1.1118241607869241, 1.154811362685751, 1.1278383726821533, 1.0821408032917064, 1.0894441198881955, 1.1413442256393764, 1.1550097102606032, 1.206900809563268, 1.2208486072268048, 1.142369193669925, 1.1641399452250576, 1.1883183228840084, 1.2211104762651648, 1.2262057653392877, 1.1888976942090341, 1.1124406474104123, 1.0993621184626663, 1.1767395425617904, 1.1769631966784124, 1.1726559297734194, 1.1464238655957153, 1.1741735936036655, 1.2058220216306312, 1.226532995699434, 1.2426559251590394, 1.260746579590073, 1.3065318578138598, 1.3740794706081174, 1.4035211167690944, 1.3128793906136533, 1.3326021511051394, 1.4604568384396515, 1.5122604635073504, 1.4975946510239408, 1.553362979433246, 1.5704577562786577, 1.5774914793145518, 1.6508414937453981, 1.6786552120838658, 1.7017734773967077, 1.7339855826924429, 1.6638771920395263, 1.555676483568886, 1.627732819861188, 1.703141028487803, 1.7574724847551428, 1.6737301809337553, 1.729031576770738, 1.748164050893158, 1.7177801924698932, 1.7658399130218343, 1.7506842059199696, 1.8608149612607885, 1.901388729133306, 1.881858012870393, 1.8270340958480127, 1.775448954332685, 1.775045648533732, 1.812421978616665, 1.768807921082244, 1.6995312488338237, 1.687702518688108, 1.6861581639126528, 1.7411903258560006, 1.6941719999671094, 1.7781909832133804, 1.7592386170213867, 1.7670432480708076, 1.7501526591816605, 1.7272802764929363, 1.7240994365037388, 1.7637634756205547, 1.7688000361800633, 1.7712759560912863, 1.861753644179871, 1.7875582327053219, 1.7636474225741485, 1.7779874548829626, 1.7362943072727417, 1.698540317667861, 1.7198173839808508, 1.7497525892514707, 1.747557458166322, 1.6887487626760402, 1.7420393035568187, 1.638977446052949, 1.695590755770986, 1.6739919382245283, 1.7652379220050456, 1.7901586956718623, 1.829288314383951, 1.8367474247129234, 1.8113999609284095, 1.9154488262782021, 1.939033491472815, 1.9381467125972194, 1.9050822849020785, 1.947553588449961, 1.929746129565169, 1.9436558151633827, 1.9492423976842945, 1.933431436941148, 1.855763236659109, 1.790593382879364, 1.8194702167257613, 1.8174098371476317, 1.8290317317605198, 1.830165594436073, 1.9147364166435286, 1.8202578767222939, 1.8274207614092715, 1.8213423940153717, 1.810903786488037, 1.847897430654957, 1.8861692861262493, 1.824661260265786, 1.847246654935984, 1.8118363060747171, 1.9158410895114089, 1.851995557087291, 1.8687966218083796, 1.8743234990499433, 1.8169914298994032, 1.870184706975967, 1.7826952213934255, 1.7645593188653688, 1.8574376551302236, 1.8607496937709298, 1.9076171761346663, 1.9290000400088483, 2.000939830569864, 1.924564465811004, 1.9850425909908076, 2.0101024633123252, 1.9871555702270332, 1.9197221954942951, 1.8046901754721094, 1.8613048567469186, 1.8570644947315293, 1.8024025848036973, 1.7941996063561598, 1.7516806462125534, 1.8262307399128581, 1.828945887287914, 1.7755796148541698, 1.7253761151696694, 1.6539654343336636, 1.6592474327017512, 1.7216591326837873, 1.7279910569140575, 1.6565208635972979, 1.7116133827289657, 1.7462975773698142, 1.7887863074835275, 1.83576325892434, 1.8839735203708652, 1.7614346433741694 ]
[ 0.4131576937517076, 0.4348005481313973, 0.41368394183493234, 0.43147201961862, 0.426946855750585, 0.38616671941900793, 0.3717271507579106, 0.3736808303965703, 0.36642100937136207, 0.3395821693732377, 0.3533245235764419, 0.3802535356572056, 0.3082422220177001, 0.3505751689616295, 0.38944848626256046, 0.4881965317744331, 0.4809470074765244, 0.4472303964733591, 0.40206726914057844, 0.3719913590984001, 0.42119430504350114, 0.4315901424331247, 0.4303618375783539, 0.4232358738323541, 0.333766605686274, 0.2883626739263537, 0.32510756332735957, 0.2949350004197182, 0.28698852092693944, 0.25172334189262285, 0.19400955476188406, 0.2453787322530102, 0.23761463188599666, 0.26358312142966456, 0.2945672422540493, 0.2996665754265661, 0.3065668392755577, 0.37360116845988356, 0.33275511595719265, 0.40635572444138784, 0.3932462620515381, 0.4369636376577708, 0.5141058402304609, 0.47780711958863215, 0.5206716852610173, 0.5818337143435179, 0.5678472759873593, 0.5993136660541653, 0.5932394962301788, 0.5617659105006155, 0.584599583825206, 0.5773740454091107, 0.6410864142005112, 0.661746909373587, 0.6510972303288428, 0.6438596511424676, 0.6163620784561159, 0.6571477278044258, 0.6402123349014508, 0.6665436567134313, 0.6444901297531489, 0.5907346907426323, 0.6323064328727677, 0.637826006341024, 0.5595945437036781, 0.5618001128750116, 0.6054712279170944, 0.6128380547349649, 0.6224635160440855, 0.7260337591520161, 0.6881201056183393, 0.6891061410568119, 0.743973368699054, 0.7901427088887301, 0.820172698642643, 0.8438669231432796, 0.8074434515037296, 0.790392893631925, 0.8415392272094407, 0.9748008195841267, 0.957998414205747, 0.9532686998875173, 0.9533017564990091, 0.9126024709744966, 0.8905081902442213, 0.8843018657392011, 0.9060298397178086, 0.9316022118900099, 1.0231210098242345, 1.014023957133645, 1.0294740763325174, 0.9666043857505221, 0.9811361264455583, 0.9814741842643556, 0.9304329343977881, 0.8937598805026377, 0.8989901824533577, 0.8912509326407907, 0.944883897069945, 1.053468360024399, 1.0428660202258526, 1.0976131114358068, 1.0398672764971233, 1.1197466473930335, 1.0878661165541947, 1.0361489032927482, 0.956159872781152, 0.9833826683984854, 0.9719263426325679, 0.9433073750755162, 0.9512075809592743, 0.906746958155964, 0.8400220702621728, 0.8648943255947473, 0.8068562993462971, 0.7790487369246013, 0.7753335032185029, 0.7444566575436873, 0.7146576584620665, 0.7779654955841476, 0.7360469695335116, 0.755337301088789, 0.7147051238549226, 0.6764842529337742, 0.644028554341419, 0.6128606630703741, 0.7194961502422192, 0.7613989663148122, 0.8179667454390329, 0.794109555519826, 0.8466347674493038, 0.8026700969085748, 0.7499605391933624, 0.7333194275988998, 0.7572141067579182, 0.8336852770651889, 0.8170559248018046, 0.8745789088534095, 0.8809537102664151, 0.8776864918177038, 0.8963260467424181, 0.9494666003837356, 0.9503145388772365, 0.9450283409803268, 0.9353848766209755, 0.8859119638962355, 0.8673158970211764, 0.8528895650404511, 0.8808302342271356, 0.9302617276071878, 0.8915509041410381, 0.8621736821749993, 0.8604047714856173, 0.730940927979707, 0.6948511231303602, 0.7837045058289958, 0.7818258247851665, 0.8643953003408865, 0.8453552215156549, 0.909989218827772, 0.88697047886101, 0.9270115810874319, 0.9505795155085781, 0.9134512041853158, 0.8760668252795664, 0.9323168776104095, 0.960898710014708, 1.0286968275764001, 1.0557161515256621, 1.0553005631258134, 1.074118308663634, 1.0706189106380537, 1.0598419866301703, 1.1478245889480942, 1.2043814836833295, 1.2004807598016218, 1.2256540006720487, 1.226004361324924, 1.233548264651331, 1.126293126499532, 1.1746857760088507, 1.110995686433489, 1.1342761618140729, 1.239954171810195, 1.2557469439643358, 1.2716463215542329, 1.345252273157444, 1.2874358993940918, 1.2860799768222584, 1.3147357894681855, 1.3409085074007272, 1.3302491448164209, 1.303777738729152, 1.2617609356210442, 1.2545853028027827, 1.2097889264127542, 1.2427404460583704, 1.1988353461589436, 1.1682229957272756, 1.095607434487433, 1.077519552794111, 1.1757451564140478, 1.2010694397875268, 1.1874222433009025, 1.2143861886654388, 1.1873276976779472, 1.187291344252844, 1.2139206682630694, 1.152472483424194, 1.0839278848632958, 1.1024701822642757, 1.1168384111981597, 1.0780795297680559, 1.0702909082515781, 1.0592043453110949, 1.0278993560735914, 1.0345597288184827, 0.9960019074264878, 0.9348457684084572, 0.9072794175645882, 0.8230694002225664, 0.7867008242537356, 0.8638318992621088, 0.8412410095983593, 0.8519855864678496, 0.8574897705760347, 0.8283656232464766, 0.893107506274894, 0.8940236957617753, 0.9368996903779061, 0.8970572631652373, 0.8632712211422271, 0.8568578066698419, 0.7602848991672421, 0.7339302218387422, 0.8112930738037338, 0.8540581875937945, 0.8802490385150558, 0.828646495616449, 0.8864602081973241, 0.8517301480803179, 0.8619847165373096, 0.8524856263493746, 0.8754245595671519, 0.8383463816829878, 0.7810939642580602, 0.7450328692327823, 0.7088950919476309, 0.7309394606080634, 0.7051761962604521, 0.632254467205776, 0.5864840909614198, 0.5622837966576659, 0.5798603252368183, 0.5171536133480651, 0.5160213473395574, 0.5472624946613139, 0.6092994330682407, 0.6547966442456175, 0.7034275972165417, 0.7468480751528548, 0.6747443476387639, 0.6504113966759495, 0.6785495915055211, 0.744706380855162, 0.6980513769080211, 0.7187246593767646, 0.6145347891933312, 0.5680580052946788, 0.5378667187047295, 0.545834676820111, 0.5499479815571682, 0.5216420175382315, 0.5513138255853358, 0.48327007352397844, 0.4548675058714725, 0.4640333715990668, 0.47702055165748897, 0.4972660671056441, 0.4396923870836391, 0.40057197771686853, 0.45044090857200386, 0.4063779907407238, 0.36645813735131855, 0.38794690434807994, 0.372258688576319, 0.39840705994551967, 0.3687459154124337, 0.3307664142415007, 0.304770896158888, 0.22470387532584501, 0.2582048065094062, 0.20990353728359168, 0.26707780822154803, 0.3009800354796759, 0.33949666888670804, 0.24402813692478448, 0.20065904370322052, 0.284218826902043, 0.27520255610779154, 0.30346124872686603, 0.3343811452288792, 0.3567224934091696, 0.3693520014075891, 0.42248222491171444, 0.40600377662950077, 0.4253506774940989, 0.41267493641397296, 0.4721111332835736, 0.5248233679538643, 0.5196852385899335, 0.5328381163605926, 0.5145637805357487, 0.4581381972957621, 0.4559799425586079, 0.40983899953485825, 0.3753009208711997, 0.3615601133385363, 0.4260737672323155, 0.4098562067927953, 0.3156518480301679, 0.3499485260919966, 0.356773128076303, 0.46451143914865156, 0.40229584074679353, 0.42165622832061445, 0.4056343754783872, 0.4318680536829669, 0.43010676570684925, 0.4536592130962522, 0.4194298251664132, 0.4561180251001832, 0.4450069224853649, 0.4466138041017241, 0.42821038664613414, 0.4608826094347849, 0.4001980954215493, 0.33787558360526937, 0.3789055318762513, 0.4080470717014475, 0.43276413464466523, 0.5108654028282256, 0.47009942591788517, 0.4547164205038873, 0.4798904559803584, 0.4737307421748041, 0.488702333342219, 0.6004181349803113, 0.6527144940590961, 0.6795008498939574, 0.6865535660385784, 0.6920000326004712, 0.668481752730935, 0.7512791154621665, 0.7198813008761057, 0.7727067322317708, 0.7749171821473997, 0.8589606563799028, 0.8273417952912296, 0.891253981095336, 0.963283815345855, 0.9523674802070298, 0.9512589436555691, 0.8448809112348412, 0.8888955220387067, 0.8435335893518424, 0.8357792510937997, 0.7966742928024688, 0.8002460717310595, 0.8463982030399687, 0.7513933079513245, 0.7253692000577567, 0.6932994589912858, 0.6101947582741919, 0.6599327403216083, 0.694356064361668, 0.6823330130337676, 0.6780173149819481, 0.6500837281142683, 0.6655566517681829, 0.6749637973936953, 0.7334832522729526, 0.7283969991961066, 0.7596324636909633, 0.6852348609140363, 0.7165912090317149, 0.8562735811890811, 0.8648474450229254, 0.8312640866095768, 0.8361961942261203, 0.8009344258518546, 0.8364732534421492, 0.8952694016936723, 0.9268372909552154, 0.8891452781560176, 0.8569112218148422, 0.8281120416230995, 0.901403990787915, 0.9459201671202765, 0.8842314633645133, 0.8328488073524389, 0.9064574881315935, 0.9092463784682038, 0.9073921331813715, 0.9063355769184501, 0.858891934789164, 0.8264918167091857, 0.8345226497808925, 0.7653263889037792, 0.7752987122528706, 0.8301592969070466, 0.7663514190451481, 0.7062659785051253, 0.7578931842203391, 0.7851618829360679, 0.7708745534589654, 0.6900182705701983, 0.7031915652317019, 0.6964246942764486, 0.6861083013216974, 0.6664461049511421, 0.6907349493108494, 0.6634221248792301, 0.5667923501871741, 0.49362761449662024, 0.39362315695324523, 0.3902108720665277, 0.4934523632392305, 0.5327731159679183, 0.5972916663086875, 0.555544513478895, 0.5814604649798348, 0.5738046018136135, 0.5463697805721521, 0.5399613777770026, 0.5230200398743146, 0.5135390976049506, 0.5091630801507954, 0.5561848371476037, 0.5752908544331155, 0.6319770733167374, 0.685955548265774, 0.6335476051792951, 0.6258473579285692, 0.5736398691927254, 0.5774960867690203, 0.5272968798248615, 0.5418530003924159, 0.539829569832718, 0.6199782914893814, 0.5593475520914352, 0.5552604085138287, 0.5618205333741961, 0.5864469331211506, 0.5877778102272442, 0.5210349657134719, 0.49524417539892407, 0.5643729527538248, 0.5131896446718649, 0.4875327864717949, 0.5313046540960424, 0.46535810128789845, 0.4547155310267108, 0.444083094152528, 0.5015938831005831, 0.5143848529859261, 0.5039476381165885, 0.5207618928983828, 0.5456177768748207, 0.4282739196026387, 0.41159197947761283, 0.413376990510426, 0.49742458188334654, 0.5850931443197886, 0.5614008707983108, 0.5504805126637574, 0.5652934577092802, 0.5901439663852435, 0.5407966153804494, 0.6022479231511633, 0.5806728939777744, 0.616871578697218, 0.5696858027059292, 0.5556659697118047, 0.46908348840210773, 0.4600651509185184, 0.4535107913518353, 0.4582845985363125, 0.4422165096223847, 0.5102595284847989, 0.5250705164344573, 0.5572385433617276, 0.5769593667747901, 0.6059003709097887, 0.7227571197895887, 0.6856076669031365, 0.6057740776571733, 0.6409539824658246, 0.6389535989290447, 0.6800137727529796, 0.6766794824747481, 0.7369194659289171, 0.6705516915842733, 0.6486353043996294, 0.6952551951836665, 0.6922401246550143, 0.6533894381858306, 0.6402816884548709, 0.5625414824703162, 0.5861501335386728, 0.5166613397562457, 0.49285037677368243, 0.47764211855468813, 0.5691401650614047, 0.6347134064951147, 0.7493631199862885, 0.751968728597796, 0.7746928125140066, 0.743368754946902, 0.6992020408143591, 0.7095687536652496, 0.7042588113521357, 0.6679425562018566, 0.6389731659469966, 0.6443540544720459, 0.5400361719590575, 0.5014720050650936, 0.5000101270249536, 0.45069673849871567, 0.4236596526993065, 0.35622624469768177, 0.2808212302305405, 0.25291522598639515, 0.28613991490156215, 0.3559862992770102, 0.34832295542728176, 0.49423942650850544, 0.5806299379505515, 0.5614462728620324, 0.4979268732890818, 0.5080887014806083, 0.5195088098905469, 0.5716865173981381, 0.619431161992513, 0.6067523453396293, 0.5808812101346987, 0.6029465248526643, 0.625171854777425, 0.6307231184538387, 0.6655599921151412, 0.66434933923141, 0.7757541813082257, 0.7539128936039347, 0.7808494926661079, 0.7266773049648801, 0.7716135201448592, 0.753426883783674, 0.7824914752330931, 0.7183555113860631, 0.7394866559870622, 0.7795476254661818, 0.7826220450811854, 0.8105785263376463, 0.8065736057365022, 0.8038861797990905, 0.7977764842503231, 0.8335975422639571, 0.8472822992745872, 0.8054441050567924, 0.7862968760116551, 0.8976081901630885, 0.8465224013473401, 0.8560535112666672, 0.8505302924481282, 0.8269251882827291, 0.8022258270959103, 0.8145251675982993, 0.7578128100111203, 0.7962916165607138, 0.7305690855404342, 0.7551891660439672, 0.783632734081139, 0.733968626838168, 0.6984717445365138, 0.7592521028972605, 0.7428921006143545, 0.8232277170425097, 0.8656330367006166, 0.8543577518018257, 0.8495793201279946, 0.8448086924145339, 0.8241030828510439, 0.8685014991090753, 0.8818068240053747, 0.9446396320430751, 0.950882365449827, 1.017206845516399, 1.1410817264669995, 1.0877877940985576, 1.0762179029393855, 1.098090722950503, 1.0254344010971967, 1.0020171182556936, 1.018933272032886, 0.98074625939731, 0.9813016785882137, 1.005488535609671, 0.9958444524600278, 1.009382276833863, 1.002404734647521, 1.049128424999307, 1.0703093982737857, 1.0882286676727928, 1.1341061038992284, 1.0291846515571843, 1.0452996711002318, 1.0435866021916596, 1.0839124407849285, 1.1552104731835549, 1.2079138159961613, 1.1305853804406383, 1.1144796793519478, 1.139154163034846, 1.0562506693454206, 1.0645374389182154, 1.0328832581932241, 1.0713871216709423, 1.0562259684787543, 0.9865655244027942, 1.0114448097319182, 0.9831753358695416, 0.9508196946827725, 0.9316538675258154, 0.9874494527415112, 1.0302142041554578, 1.0374247425231626, 1.031147989091834, 1.0234192829147912, 0.8897549930175965, 0.8996306102033252, 0.9017653895558293, 0.9460026853631311, 0.9228823570297329, 0.9499846850575504, 0.994189079517954, 0.9491980313010026, 0.9551359812044438, 0.9738308887508051, 1.0152618564669054, 0.9440170548279126, 1.064893039798625, 1.1379883811714753, 1.13431751932041, 1.1795574906155188, 1.2940165893529838, 1.347831889027543, 1.3163185442013745, 1.1964198631404275, 1.1757769142734809, 1.2131929073419474, 1.2022728425439675, 1.1677283102437925, 1.0869674271457084, 1.0642687584864263, 1.0531991699864165, 1.007902372029102, 0.9981020835808162, 0.9832972894908063, 0.9882173256791587, 1.0452288596505153, 0.9984291967067521, 1.028817510537651, 1.0509149159917346, 1.0432361471705964, 1.0302600232114307, 1.0103222264178229, 0.9886040460588418, 0.9394096520558752, 1.0141065458962435, 0.9668581472061821, 0.9764555347897375, 0.9853196251825164, 1.030332537917915, 1.0144889777155925, 0.9726974110571917, 0.9316990747470008, 0.8306296482146134, 0.7949767996617767, 0.8104786480020347, 0.787948147021875, 0.8111465596985603, 0.7812227152496615, 0.7331351545740808, 0.7666824739762835, 0.8370424005884959, 0.7937180424767442, 0.7751071887978331, 0.7100506745428377, 0.7682507625556348, 0.7992466475295484, 0.8880083640153134, 0.9038454150052054, 0.8747392275021584, 0.8865165777386631, 0.8275426444799843, 0.8709358816467888, 0.9145108731644493, 0.992076082329154, 1.0373035057579476, 1.0910765081549645, 1.049257606335804, 1.0634305564498305, 0.9980104360999998, 0.9433880817319836, 0.9750660045260596, 0.8946844329337816, 0.9414684426211595, 0.8845099608142596, 0.8887070742022061, 0.8859937067113006, 0.9066682665536867, 0.9040066593735727, 0.9135992009043042, 0.8442841789984165, 0.8589252323726778, 0.8719182305510393, 0.8829729993900103, 0.9130969197839504, 0.9132151703641777, 0.8992501431751633, 0.9335058412098948, 0.9293854301586872, 0.9375866875187195, 0.9842164501124522, 1.0420781936284524, 1.0466971691302018, 1.0177868407696782, 1.1167240673025172, 1.0986316004309031, 1.0589164204894272, 1.0371265431296157, 1.0658826202836902, 1.1191401139039925, 1.059996471504549, 1.055805089526196, 1.077892718922423, 1.0252467004701016, 1.0546944477316762, 1.093818574134755, 1.155318450280035, 1.158303558251307, 1.1949337202491803, 1.2325256667614046, 1.3064553443579672, 1.3411884214635876, 1.2974722977144293, 1.256515757097125, 1.2312480255787814, 1.1582119243454725, 1.1109320386895252, 1.2423401038425608, 1.2306432339669993, 1.111809799879985, 1.1126239499393116, 1.1089732373838694, 1.1413723039887096, 1.1792089868707314, 1.2340929277014343, 1.1450542906866428, 1.1684507935192976, 1.1579809354522033, 1.1091967425451636, 1.0688881428614545, 1.0724377030609225, 1.1290298241213799, 1.1776665709667928, 1.2166881554600186, 1.2331129948039057, 1.266996249072685, 1.263591881658077, 1.3459288677699641, 1.428530028620906, 1.476425805661753, 1.4132070557178251, 1.3605707111324443, 1.3971163930809742, 1.3650052786982805, 1.377771113979653, 1.34191207358511, 1.3502796273594142, 1.3096301512592037, 1.3042384840246601, 1.3109554294860721, 1.3045945022261645, 1.2542021273661295, 1.2706385854970694, 1.244717426642759, 1.262167701607364, 1.2268531455538763, 1.2593229670999848, 1.2668879220716667, 1.2896136467262878, 1.2928110476665768, 1.298527941057946, 1.3095185749069562, 1.328574101652832, 1.3703864638852206, 1.3824694933661479, 1.32559951705388, 1.332853100369866, 1.3757260057050753, 1.2851559009974738, 1.1596752147940987, 1.0729852477153465, 1.0840591457375812, 1.115066901043604, 1.1329996774495683, 1.1051036481602419, 1.1905230300004845, 1.1684456472590055, 1.1109539547077045, 1.0965933885572332, 1.1118241607869241, 1.154811362685751, 1.1278383726821533, 1.0821408032917064, 1.0894441198881955, 1.1413442256393764, 1.1550097102606032, 1.206900809563268, 1.2208486072268048, 1.142369193669925, 1.1641399452250576, 1.1883183228840084, 1.2211104762651648, 1.2262057653392877, 1.1888976942090341, 1.1124406474104123, 1.0993621184626663, 1.1767395425617904, 1.1769631966784124, 1.1726559297734194, 1.1464238655957153, 1.1741735936036655, 1.2058220216306312, 1.226532995699434, 1.2426559251590394, 1.260746579590073, 1.3065318578138598, 1.3740794706081174, 1.4035211167690944, 1.3128793906136533, 1.3326021511051394, 1.4604568384396515, 1.5122604635073504, 1.4975946510239408, 1.553362979433246, 1.5704577562786577, 1.5774914793145518, 1.6508414937453981, 1.6786552120838658, 1.7017734773967077, 1.7339855826924429, 1.6638771920395263, 1.555676483568886, 1.627732819861188, 1.703141028487803, 1.7574724847551428, 1.6737301809337553, 1.729031576770738, 1.748164050893158, 1.7177801924698932, 1.7658399130218343, 1.7506842059199696, 1.8608149612607885, 1.901388729133306, 1.881858012870393, 1.8270340958480127, 1.775448954332685, 1.775045648533732, 1.812421978616665, 1.768807921082244, 1.6995312488338237, 1.687702518688108, 1.6861581639126528, 1.7411903258560006, 1.6941719999671094, 1.7781909832133804, 1.7592386170213867, 1.7670432480708076, 1.7501526591816605, 1.7272802764929363, 1.7240994365037388, 1.7637634756205547, 1.7688000361800633, 1.7712759560912863, 1.861753644179871, 1.7875582327053219, 1.7636474225741485, 1.7779874548829626, 1.7362943072727417, 1.698540317667861, 1.7198173839808508, 1.7497525892514707, 1.747557458166322, 1.6887487626760402, 1.7420393035568187, 1.638977446052949, 1.695590755770986, 1.6739919382245283, 1.7652379220050456, 1.7901586956718623, 1.829288314383951, 1.8367474247129234, 1.8113999609284095, 1.9154488262782021, 1.939033491472815, 1.9381467125972194, 1.9050822849020785, 1.947553588449961, 1.929746129565169, 1.9436558151633827, 1.9492423976842945, 1.933431436941148, 1.855763236659109, 1.790593382879364, 1.8194702167257613, 1.8174098371476317, 1.8290317317605198, 1.830165594436073, 1.9147364166435286, 1.8202578767222939, 1.8274207614092715, 1.8213423940153717, 1.810903786488037, 1.847897430654957, 1.8861692861262493, 1.824661260265786, 1.847246654935984, 1.8118363060747171, 1.9158410895114089, 1.851995557087291, 1.8687966218083796, 1.8743234990499433, 1.8169914298994032, 1.870184706975967, 1.7826952213934255, 1.7645593188653688, 1.8574376551302236, 1.8607496937709298, 1.9076171761346663, 1.9290000400088483, 2.000939830569864, 1.924564465811004, 1.9850425909908076, 2.0101024633123252, 1.9871555702270332, 1.9197221954942951, 1.8046901754721094, 1.8613048567469186, 1.8570644947315293, 1.8024025848036973, 1.7941996063561598, 1.7516806462125534, 1.8262307399128581, 1.828945887287914, 1.7755796148541698, 1.7253761151696694, 1.6539654343336636, 1.6592474327017512, 1.7216591326837873, 1.7279910569140575, 1.6565208635972979, 1.7116133827289657, 1.7462975773698142, 1.7887863074835275, 1.83576325892434, 1.8839735203708652, 1.7614346433741694, 1.7265150441796455, 1.7578352788960643, 1.782411346888397, 1.8014394834208558, 1.8015792403146182, 1.8194797098397948, 1.8317463896307755, 1.841372729384154, 1.8676444257918685, 1.7665754082370495, 1.7631406375483578, 1.7471366980670553, 1.7214915552443295, 1.7375215556127261, 1.6999048300515918, 1.7492160047310716, 1.7403481809909005, 1.7083642420875906, 1.7298381894437385, 1.7502113822577283, 1.7646690264387663, 1.7219044634245992, 1.7374903664894732, 1.7709356936442158, 1.7765748604188398, 1.7573021092956804, 1.6538109052217846, 1.652230307947308, 1.6620387863791504, 1.6248879481083314, 1.5881513042948359, 1.5996802482962313, 1.5383896609903132, 1.4896500223040603, 1.5498077687975096, 1.509558886469402, 1.437600115961515, 1.3895640924418435, 1.4405677140735667, 1.4543548475322299, 1.3882654986497112, 1.3041811078413061, 1.3806414723838594, 1.4202195337161765, 1.4522321151117927 ]
96
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Focus on the time delay between the two time series. If time series 2 is a lagged version, then it should look the same to time series 1 after being shifted by a certain number of steps. Can you check this?
Causality Analysis
Granger Causality
468
null
You are seeing two instances of random walk. Are they likely to have the same variance?
[ "No, time series 1 has higher variance", "Yes, they have the same variance", "No, time series 2 has higher variance" ]
Yes, they have the same variance
multiple_choice
[ 0.01965916431690135, 0.035148409233200326, 0.04445813121749656, 0.01657043517049197, 0.052270947627755526, 0.019441842719352363, -0.021503986559881887, -0.00950135944770021, -0.01740175034481599, -0.01852610871932647, 0.011096866158775559, -0.04820086239415314, -0.07691059941950465, -0.08238463133347697, -0.11744024356177368, -0.14998370930926222, -0.141786273944318, -0.1259320156013299, -0.13721278987455943, -0.15677862163848957, -0.14513403560933624, -0.1904156334552201, -0.17879298903048457, -0.20235391955541449, -0.21942109627257816, -0.19089389984210398, -0.18043965994090969, -0.12297623262611437, -0.14391390896658235, -0.17817233600163646, -0.1493043241347588, -0.12217224669440364, -0.17172253182773894, -0.18798130934779297, -0.2756939111079219, -0.26957951245515416, -0.2498195947116095, -0.26392899468033304, -0.22226547043155032, -0.20369993498084693, -0.18527540896395395, -0.14480131801587032, -0.2039871346290106, -0.21310323358674124, -0.2616203987748472, -0.2691435137860158, -0.3080070476286303, -0.34345177803687227, -0.29702152015900785, -0.3226150831098753, -0.3312895474029653, -0.3519303809554235, -0.3021704734097998, -0.2925617709499187, -0.3040447602338393, -0.2977619375746513, -0.3035741465728962, -0.3275936778422492, -0.34586510329842624, -0.29200741026567834, -0.3337891868418477, -0.3087398045287894, -0.39499472719455525, -0.40278436291836983, -0.4165408062112742, -0.4129641955899464, -0.4162851343106263, -0.4251571614738417, -0.46552821578213843, -0.4235084656902095, -0.41376011933878604, -0.37247494143732895, -0.3505260010161923, -0.3300036512591241, -0.3540623717570302, -0.3935289257908296, -0.3766984588400548, -0.35126219291012134, -0.3764845033582504, -0.37284193903359747, -0.35743909045364725, -0.3081024882987884, -0.2777658014408384, -0.3174195481633637, -0.2733408409289846, -0.2657942175885099, -0.26742651276773344, -0.2933089087932665, -0.2744587232033173, -0.25269740938444873, -0.2814986003469167, -0.28983107382412393, -0.3137272762661336, -0.3296145385228273, -0.33151836774256666, -0.33493302727135604, -0.3018832235445266, -0.27754584764089274, -0.2944426758489507, -0.303260162000753, -0.29742654268366747, -0.2687462432403536, -0.2995376070371884, -0.2913898069196856, -0.303580411852718, -0.2664641811795925, -0.2703363984245211, -0.25424132427078644, -0.22916658615712876, -0.23884834088447188, -0.24909905067231167, -0.22152344000868662, -0.22556668949564415, -0.20998389227511546, -0.2654974409337016, -0.2914529176205977, -0.30419002968912595, -0.2735670006619445, -0.22368554237747484, -0.2239243926362265, -0.2282960911446117, -0.23848080894129287, -0.22989880451738934, -0.2099491223536811, -0.22163846519591068, -0.24431857574763194, -0.23914240149841123, -0.24915833295428758, -0.2688059582231338, -0.2713747509538614, -0.33074517655746993, -0.333255426345747, -0.27780947192982425, -0.25272414262010423, -0.24840709413643564, -0.22867425442861158, -0.24964635632704704, -0.3319537404666714, -0.340903903713753, -0.3469391854757252, -0.3337824120973356, -0.41666743083267277, -0.40359921196540566, -0.3142979770619201, -0.3072150658738298, -0.24441980610835168, -0.23497362603431876, -0.2532878483068466, -0.2607595770572409, -0.24054432261041295, -0.1989382414689706, -0.16573286688138703, -0.1871071225008348, -0.15381693174457653, -0.1845709192596837, -0.15570969155882722, -0.13448500596901614, -0.11085964099135776, -0.12087404172241213, -0.16872320255518625, -0.19542053790110725, -0.22366074154587107, -0.2943537348418537, -0.3108632794746079, -0.2872799549859533, -0.30307604178923936, -0.3262427631756337, -0.31370431380045044, -0.31241790658046337, -0.31777036340361675, -0.3755394272639277, -0.3505108325140367, -0.35812410602892975, -0.3829086294619882, -0.3489959422350327, -0.30621125440673136, -0.3241429422664883, -0.2983073898018156, -0.2755808295010225, -0.2560919771889532, -0.21709623682957438, -0.2582285578613883, -0.3116383148971088, -0.3289064353565924, -0.4161457804862173, -0.41564615151655304, -0.46564959838044084, -0.5254907483639332, -0.5363763460888861, -0.49748107187849605, -0.5422810979362902, -0.5440144218116121, -0.47723084393923765, -0.4661896023441853, -0.4947281589098366, -0.46728371544173664, -0.44924465959168103, -0.4820971098073799, -0.4783788307714939, -0.5182155906078364, -0.48603506870697466, -0.483889352861158, -0.45721246632961315, -0.46791703817523145, -0.45373740355762615, -0.43061599162283987, -0.41897653992865336, -0.41953797471751914, -0.45112325317287694, -0.49251817543214393, -0.519632334970849, -0.58432153621343, -0.536140182938259, -0.5302926066015713, -0.561233373487521, -0.5630933955217458, -0.6281226654235305, -0.6578515740959251, -0.640894660400833, -0.592147614578481, -0.6074377247086084, -0.5643454649751093, -0.5566853488764859, -0.5455332246297088, -0.5894125020084899, -0.5881245116979363, -0.5494970872683447, -0.560502726529552, -0.5450956610384411, -0.5494774633444053, -0.5730284057737656, -0.5509200087285193, -0.6136664883102266, -0.5929976625442221, -0.5746745057376883, -0.5688524201787493, -0.6093832905655814, -0.6090182567046137, -0.612229802090937, -0.5857914660410201, -0.6153281081438279, -0.6820834037715895, -0.6527670983369137, -0.6465501385938393, -0.6630142476599268, -0.6536076700654226, -0.6302175388239062, -0.6256693276043569, -0.6708253597608379, -0.7036532353626156, -0.6669535048700315, -0.668959936229756, -0.6490604547481904, -0.6680021280118789, -0.7048766119425326, -0.7082049627185805, -0.713748512898873, -0.6498344040565054, -0.6834389238446382, -0.7003336139564554, -0.7637901847743296, -0.7476483085749837, -0.7119277196464374, -0.6485981043626505, -0.6293490852575868, -0.6207643670977541, -0.6219634477279031, -0.5832089406045472, -0.5368480921776987, -0.5655214329028274, -0.57819553279262, -0.5931039108248992, -0.5587810382259273, -0.5460382034129857, -0.5688109751646764, -0.5711706274580501, -0.6170945591467819, -0.5978334345363028, -0.6265238623025475, -0.592047299973651, -0.5662268266867065, -0.571314924524543, -0.5803052373741541, -0.6081112470192737, -0.6162339575222888, -0.66720193482193, -0.6266550394077449, -0.5843758871572993, -0.5857257937704565, -0.5712296647023921, -0.5854953148153696, -0.5702727439376776, -0.5899947513421289, -0.641645554040177, -0.6089307953353974, -0.6019151708340421, -0.615657339708947, -0.6118976748859354, -0.6116695663711824, -0.6236993165401157, -0.6230917585387181, -0.6260477754454499, -0.6499505110998433, -0.6216957322603772, -0.6114930983796918, -0.6249982581974158, -0.6152956770774167, -0.5722302252169328, -0.5244596044273496, -0.46961834567080285, -0.433649802669496, -0.4440337924508001, -0.46962277789652734, -0.48965868267986046, -0.49126722357021646, -0.4803973424272348, -0.5334433915058777, -0.4976598001182205, -0.545353541283062, -0.5161946823728881, -0.5509103719728271, -0.5619581573021721, -0.5384289458421542, -0.5653533875156319, -0.5811279231163498, -0.5362601647367926, -0.5481047728988973, -0.5329233192544418, -0.5271576193326116, -0.5298540167229285, -0.498156310086244, -0.4722070646782445, -0.4966585973777444, -0.4649841369692702, -0.4846774887483911, -0.447103601418543, -0.500256765850637, -0.5304811258099863, -0.5517646026202705, -0.5162502230274942, -0.5638243891102918, -0.5862131629567974, -0.6071989205193363, -0.5230800758178084, -0.5432466285573482, -0.5374186007168029, -0.5492410156148918, -0.5683064598889985, -0.6093283916232849, -0.6008625590605564, -0.5987919693792113, -0.5558659878413641, -0.5518554218608341, -0.5056665762183976, -0.5082516644960366, -0.48235343243202766, -0.42912446740731947, -0.39861000667401913, -0.4034136611650271, -0.3966164318340259, -0.43421867822465754, -0.4652668857445228, -0.47904439797949355, -0.41953789160515353, -0.428663328672988, -0.4279926162042987, -0.4336631542773375, -0.44081278986510264, -0.4043781129208461, -0.40173759531078984, -0.45238315351243186, -0.43746501939267957, -0.4321920728329227, -0.4436412345563275, -0.4435355850457276, -0.4545399740783697, -0.44564698546159526, -0.4167296177231227, -0.4628573082841334, -0.4153167873118408, -0.39010310571990403, -0.3859491178998367, -0.40472762740925405, -0.40955992893949117, -0.42416449549414126, -0.39151147304615397, -0.4156736611525615, -0.3976804927669929, -0.35399069294389773, -0.42465264158995025, -0.38110731582072677, -0.33604891080516164, -0.3475122721107547, -0.34257701255126866, -0.3099366593353114, -0.332882724620401, -0.31994887608986644, -0.2887235236891575, -0.3057601812415928, -0.3104660368491346, -0.31044274789257986, -0.30917737701398806, -0.26164632533340726, -0.2552664502264404, -0.2501315259676514, -0.2509095415272186, -0.22879700247815957, -0.22161555657121448, -0.22051567091305088, -0.21341438365289428, -0.18853667500128285, -0.18294306396454862, -0.19562323971407894, -0.2058922046817878, -0.20118262014384616, -0.23574071828125812, -0.22038989750819796, -0.14194174326207604, -0.14770937825320035, -0.16704777342236884, -0.15339993393222215, -0.15386745717503647, -0.16611665039597856, -0.1381146912980193, -0.1186391140862217, -0.15056882849685685, -0.19040341789942566, -0.23663851337136027, -0.2383446485712143, -0.21912468387709244, -0.27495551163447296, -0.24834567437864777, -0.23572311674645172, -0.23453276174381435, -0.23117502351404595, -0.24418093493657003, -0.22307991409926228, -0.1773252125695075, -0.16848613533571694, -0.10190733344108872, -0.17310290486938817, -0.19608857116417494, -0.275651994704268, -0.22904341408669043, -0.24576361373320918, -0.24729627107690952, -0.22650672526841503, -0.27124283217126355, -0.2920285103299948, -0.29298791871317814, -0.2974163693781375, -0.3133914347846761, -0.34508129003161514, -0.2901831162640135, -0.29908387621791616, -0.2809346198733487, -0.2900000243166281, -0.2857206285947009, -0.32345876472276625, -0.4033057986636135, -0.3668256214529749, -0.33582708599819394, -0.33490193376047767, -0.4044452475180036, -0.4568283717292069, -0.4273317882413465, -0.3772399431739619, -0.39322417043127894, -0.38319638715439797, -0.3559260608451399, -0.3337399654023745, -0.32963479070920243, -0.31800678590660364, -0.28933300845123155, -0.23659630007704405, -0.22005328964425924, -0.17964754451024406, -0.16767714575701695, -0.23336641796613122, -0.1466871936224766, -0.15959348227804634, -0.2001010454087423, -0.178432444354832, -0.13324271471866506, -0.11348946649051131, -0.09212450897711594, -0.126808178270154, -0.15003566309833805, -0.15530735997031883, -0.16640684656600682, -0.13340124056234462, -0.13914740925933833, -0.13907254699333413, -0.14749240100498828, -0.1554035533654175, -0.17229288341843477, -0.21205932050824358, -0.27027367126998325, -0.23769062246169825, -0.2058171237602543, -0.2028831876225899, -0.19110930467615556, -0.19526982514735167, -0.1751104059340454, -0.08112005300880101, -0.1900510741440049, -0.1846562740823279, -0.14537045028237006, -0.11847847625756514, -0.081303448967318, -0.06599578039673513, -0.07325648211538179, -0.07970136613786193, -0.08733607895026119, -0.06055371025271631, -0.09136904870135458, -0.12172810437598608, -0.1737971081538873, -0.2091736671496759, -0.18727942420122323, -0.1768639194110523, -0.20625608548778093, -0.22999383761548767, -0.16547740048143622, -0.16392239823302734, -0.16703822582818095, -0.18422956196690846, -0.21708381930007764, -0.23301326729238603, -0.2290741500599185, -0.21741833627385843, -0.2528338014504049, -0.25385613777311683, -0.26389082955315984, -0.26751520484198943, -0.284391475064675, -0.3102366255108512, -0.35471474350716836, -0.348643788638172, -0.37864038803794803, -0.3913743709669443, -0.41213365367545235, -0.3776799830794182, -0.37882187560576147, -0.35705664767744816, -0.3482769549841054, -0.33680109711830963, -0.3096470752800429, -0.33951384481613167, -0.3599858494639781, -0.3706934941932443, -0.3290845163473976, -0.33514645764110484, -0.33425538340517447, -0.29521448687392343, -0.2920111453736396, -0.23863377435369204, -0.2581459457362398, -0.30489128658227066, -0.3220465571172416, -0.3162719454060979, -0.3101491121471518, -0.37637385708327065, -0.38097906998796793, -0.358720071718712, -0.28540924575694393, -0.33734336593567704, -0.3442944259906854, -0.3865203622180214, -0.3911503480141055, -0.411726194599769, -0.4177867775286081, -0.3870267221765359, -0.3417726031395269, -0.35868023107498376, -0.33221589808626373, -0.3926723403030875, -0.41637207084621863, -0.4592729661913015, -0.40818709733167985, -0.35663836010254246, -0.3780733396456468, -0.3798426298785929, -0.4045532601830434, -0.38929756194109805, -0.4075326447890994, -0.44236892864232435, -0.4675754651961802, -0.4626315615325498, -0.4984201312927941, -0.4748878389493995, -0.54917116756045, -0.5574961928646126, -0.5511920134453708, -0.5615025549655428, -0.5494114084233976, -0.5113646994236114, -0.5042876397367575, -0.5179170771699588, -0.5131453175677122, -0.5008958089557467, -0.4569004939068644, -0.4469345662485553, -0.46537569035424703, -0.4941981410850019, -0.5504392205721393, -0.5181344554693891, -0.5076795628547455, -0.5158067113884732, -0.47199683594329467, -0.46661958289418765, -0.4387920519179215, -0.45227359101083997, -0.41734503206600915, -0.4369478659022815, -0.3925527226532304, -0.40287632876899065, -0.28997827892297656, -0.2693598115185944, -0.28655760775577377, -0.3384899096874756, -0.34891325646910665, -0.30324079890242095, -0.29376800042492657, -0.23598473043554447, -0.19089486600872702, -0.1458665368325628, -0.18821931198710617, -0.23545590814651246, -0.21321042173716928, -0.20291254805273765, -0.17831261716621247, -0.25281137348796023, -0.2686479966625668, -0.26065217318665207, -0.2544647909315801, -0.259883245198706, -0.3188702559509914, -0.3105954923484101, -0.30388736024391644, -0.3419174754173196, -0.3155009307155309, -0.31403107334266633, -0.3394247842761399, -0.29572619680394296, -0.24369777122315928, -0.24338974110904765, -0.262123392622477, -0.22101695222315068, -0.244327750474425, -0.21692994499711776, -0.25635578052981894, -0.2544899194236741, -0.27870476505379144, -0.3110473313410788, -0.345766439125278, -0.3776056514712358, -0.3707778195190659, -0.33550940678240004, -0.30244761179661306, -0.35711828688493114, -0.41145303359403096, -0.43067379485451834, -0.3351426811889912, -0.33552558837096713, -0.35027577000013177, -0.2900446731621158, -0.2532951424074104, -0.23632633684417725, -0.19113875530223923, -0.17035379615563767, -0.16390351622083826, -0.15310752657594145, -0.1498254066882709, -0.1465606408056731, -0.13163718574965944, -0.16888206705266798, -0.15437473869582918, -0.1915321297489273, -0.19612668563822724, -0.23532536493740563, -0.17532510967147702, -0.16986436333694202, -0.14224012149436852, -0.11323409302379742, -0.0900618183985451, -0.02904399189697829, -0.01862973124257214, 0.0009054220862150381, 0.014544562766956847, 0.022563264049464085, 0.019232787481436656, -0.006347205952242269, -0.04335393275550846, -0.03181282497777615, -0.05796495870862571, -0.04181150744376866, 0.012752471969197342, -0.0045789094315932845, -0.04232850769995032, -0.05361742302337238, -0.04200913653714964, -0.022668972978518317, -0.047156062620459155, -0.0643087319486524, -0.09115211149295939, -0.04392550323144479, -0.08988743725765107, -0.07487532800117794, -0.08842249293118778, -0.07543160114135372, -0.09167123269708868, -0.13262323631961473, -0.11609973308863883, -0.13198694282079848, -0.11183517915783708, -0.09935544360321098, -0.03270208960773156, -0.11338804422198323, -0.10789595698775731, -0.07274844467459549, -0.011200389840131303, -0.035699963379211316, -0.07028828606518187, -0.13157923323316167, -0.16875215300453045, -0.1514230440753577, -0.09799466531109571, -0.06853481000251407, -0.003196130472020803, 0.04011516272956249, -0.023397994543580616, -0.03425549196244739, -0.039083343237925, -0.011397788941219695, -0.03396953125098346, -0.06111376523885641, -0.07613583086003481, -0.07044644010628187, -0.06540498395648192, -0.09116016002620914, -0.09299746135394005, -0.11283702741386495, -0.09408134163157597, -0.15044385843245128, -0.16699726696993306, -0.1425020450908259, -0.16689920175687692, -0.1504405872163054, -0.11338762337145059, -0.08613629041668112, -0.06096461674259182, -0.07539975646903146, -0.08621345637949976, -0.07026054571317916, -0.10720724033854218, -0.1280257685396242, -0.13043812770608332, -0.13456950650233468, -0.09787270898488118, -0.07722021489206146, -0.0775255007794473, -0.058786303910293554, -0.07704044127944078, -0.09752801492727932, -0.11548943422814104, -0.11261736018328493, -0.14183345805933403, -0.17212153188784748, -0.1889503527143136, -0.11732345386408245, -0.16432694460038094, -0.12135179895588712, -0.1111673959161033, -0.10155620575967793, -0.09148470760799646, -0.08707236092279894, -0.09517731723054104, -0.11408907440064556, -0.15105858257651567, -0.16912402297217935, -0.1652536879321934, -0.1506198845322246, -0.1988609794125057, -0.19994637359470277, -0.1629322197045932, -0.164658174704733, -0.15429702025340009, -0.1484276022619296, -0.13970270181432265, -0.1206779000606089, -0.1516073371786056, -0.1469675893923675, -0.16630149829634694, -0.1909658444039033, -0.16753092397316158, -0.1893061641540658, -0.19805100624744895, -0.22490375945096341, -0.21198866789804524, -0.1770325796244061, -0.1753918806988589, -0.20912738542052778, -0.257739572668807, -0.27874679535884656, -0.2612357803644212, -0.2621725842090583, -0.27595036882826945, -0.3152936141502268, -0.31201731711116465, -0.31413416212087464, -0.30997601213942516, -0.300406756258578, -0.31981094334611754, -0.2935671897004256, -0.31460120824531557, -0.37348432355931077, -0.4053702459809626, -0.43070729686359444, -0.4209433366022259, -0.43095844483450807, -0.45063977199683214, -0.4441147247977707, -0.4044340297342183, -0.44981512156782283, -0.4399775870804575, -0.44588842282840085, -0.4764704683000492, -0.5285933384457132, -0.47622685711473595, -0.4521748028872481, -0.3865967472165801, -0.4017741516754866, -0.3975643826940609, -0.4222323940263822, -0.41456125113622305, -0.4048444202610406, -0.4007834950457648, -0.37284910996788134, -0.4084530457733129, -0.4251826648850833, -0.3968092003759726, -0.4367248102750541, -0.45252832197533904, -0.3849995572157629, -0.38965197845517324, -0.4177325119291547, -0.3133640640739819, -0.3282958323984293, -0.34995280078884483, -0.23583743802344342, -0.23010611044537688, -0.1883899020765028, -0.1848258450487258, -0.18339419463096515, -0.15863518103159993, -0.18845573489382433, -0.19640565662624504, -0.2514263447296592, -0.23645601689948462, -0.19282178779728115, -0.18071633796882883, -0.11388128807420936, -0.10919485438503343, -0.11737647013452733, -0.10713739014359838, -0.11703147987858778, -0.10588722510588176, -0.1106976053563146, -0.16467967805676506, -0.2167829497981597, -0.20457469087474045, -0.20294199816686567, -0.161694290581527, -0.17120369645474, -0.1795814799455255, -0.17900517200048355, -0.16218897912575714, -0.12070668293755013, -0.11469035892369372, -0.1445249447441382, -0.16776183146471021, -0.14723376587741754, -0.18714980476294912, -0.1792761624176447, -0.20922465597998108, -0.24188530516002044, -0.2310581303108792, -0.23876263639501777, -0.3003416929731626, -0.30624869350601186, -0.3359777637004321, -0.3557562310113377, -0.39911707963963583, -0.39627910930179056, -0.37891281189527026, -0.4097699782028988, -0.3844066653189358, -0.38325165428093866, -0.35800053420729205, -0.3523849008500404, -0.3458416836026696, -0.3330869964788793, -0.33722097010396174, -0.3204046367559595, -0.34233768766117434, -0.3305011068186258, -0.34953046039058566, -0.3906243939932017, -0.3595895110464978, -0.34985839157818915, -0.4213204442852249, -0.38955262023805465, -0.38663366856361725, -0.38592314894741814, -0.32967750131380086, -0.34006556676496313, -0.3461283035034428, -0.3623536718231345, -0.27925815611408117, -0.2773676570144012, -0.23709192060731102, -0.19511842949347552, -0.22309457550502945, -0.19435267320095734, -0.20844475855090852, -0.21396735379638834, -0.2414234677846156, -0.23995348293903848, -0.24662627207248006, -0.22211467463238013, -0.23783026637236962, -0.2695507259440174, -0.25090282908334727, -0.21766089370711272, -0.19545313657932392, -0.16466160885339143, -0.16497029902867147, -0.22869213630901197, -0.27945408240436626, -0.2555008972816552, -0.2631094690527117, -0.2905292420771882, -0.2737942454913191, -0.22692453725732617, -0.21135133819913499, -0.15312457320139583, -0.1870448647795482, -0.13590337560885468, -0.18010315620600462, -0.2498994095871345, -0.27125092303291054, -0.2685873537069398, -0.24025181864795375, -0.218189334972811, -0.2244360124043408, -0.2177588685777091, -0.19232761482495522, -0.19908544121950283, -0.17612905080959032, -0.21407850819482746, -0.18956332362698547, -0.18729772093221786, -0.17775694687191906, -0.14935928738674276, -0.15340156080003428, -0.1085257543942301, -0.12022249994006057, -0.10626723131019501, -0.15444032428294346, -0.22461156217407904, -0.20846749521444852, -0.18456484641614704, -0.23073014932823838, -0.3065155449486563, -0.2930713253281349, -0.2997858677579283, -0.3100776244951878, -0.3080131055369212, -0.2919148449622628, -0.263668616768277, -0.2714037407102008, -0.25218438328158, -0.2000748396100794, -0.20413012538450315, -0.23750254915317884, -0.24260134495223593, -0.2511001080663282, -0.2510968686503132, -0.2040914365831249, -0.17171436162483272, -0.23537887823563758, -0.26979351473695573, -0.26807271640157476, -0.25568062441357564, -0.23664320291299998, -0.1893544631154543, -0.1725946337647934, -0.1341904649582657, -0.12299482365947617, -0.10764947584209168, -0.08464840044470147, -0.09418580637296398, -0.11664230366817362, -0.11319808547210902, -0.08665766667403636, -0.06271592850963567, -0.06297961766026505, -0.02991163633177108, -0.016289934115019312, -0.04452200768684521, -0.025801738368531814, -0.024151613102712195, 0.005924470969989267, 0.01935311723986549, 0.033701452654094834, 0.010368086585150288, 0.007623642059208319, 0.07597391119523897, 0.00727586022082187, -0.028379635820676548, -0.06461512159455868, -0.07469566591219723, -0.07084471852565982 ]
[ -0.02545996261796345, -0.022054540772172122, -0.022236736696618038, -0.04959482885293093, -0.09761981548255816, -0.10755423008563594, -0.09011867928285533, -0.07136399645359552, -0.11276030739242818, -0.07226976242895555, -0.1159495006088969, -0.0842511761778115, -0.03164237302613836, -0.04169981666338953, -0.030670130960268188, -0.04667870825656717, -0.08239535208950682, -0.08863340971706932, -0.09452488874191135, -0.10581230405786855, -0.124255763454802, -0.13931365889247016, -0.13000642231903792, -0.12629403884915494, -0.06795618729956421, -0.05726455842594909, -0.03365365590601323, 0.011195208650362276, 0.03061634676867258, 0.03810711333588708, -0.003969452178319656, -0.016289774492413894, -0.03292259884628514, -0.013143222176254493, 0.05117222424047198, 0.038728209024235724, 0.002607926884539598, 0.044559760598039094, 0.03414802726476475, -0.00713090832242802, -0.03552649817444177, -0.033086135831044694, -0.020775436197848114, 0.004339844109771222, 0.011553703728185228, -0.07453020093683739, 0.004418261585346195, -0.01049047631740201, -0.020481561746731512, 0.005470427293806927, 0.03081984241726015, 0.06491144130179774, 0.0504277587591245, 0.03937090967900854, 0.03552759963169782, 0.039983212160800495, 0.03394082907058095, 0.07914948555694806, 0.00965619359724286, 0.06562596672149121, 0.09695615680530159, 0.11529674267545176, 0.12195005506561053, 0.06719112917668565, 0.08028745188013947, 0.04958846699415352, 0.036941579174017705, -0.032147785114421734, -0.03065069879000974, -0.007969019823664793, -0.015762887650058007, -0.008204596061847433, 0.02309648358541213, 0.008858807194754018, -0.062046120099825394, -0.06593489163517331, -0.12452368817667134, -0.09340579789647577, -0.0932344701241647, -0.10818405616972401, -0.11505991898641123, -0.11089883883952129, -0.06615212451234215, -0.06274702569121889, -0.07785346142365838, -0.06756290466457841, -0.05452850347838076, -0.028008097948691666, -0.03863219264323338, -0.07034954577164501, -0.08221947439248183, -0.05126207380802973, -0.04700886281609791, -0.0591932543130065, -0.06405430697526897, -0.007676684901014176, -0.032224583886747135, -0.04555832563671645, -0.0037224898161014597, -0.037580879981698345, -0.094738133141619, -0.12419133265330715, -0.1321384042579119, -0.1504533739341836, -0.1470600684959281, -0.12811882795994528, -0.0956510746419696, -0.0926688582349465, -0.07970683553599733, -0.07642254317586625, -0.046593731448851754, -0.022633531198820875, -0.03451018338234631, -0.023247481580543003, -0.03333950808507416, -0.08580383231231187, -0.06380705085075095, -0.0468132899370841, -0.047461213415589905, -0.08664354333108612, -0.07704878923007127, -0.033940656513597664, -0.06692078096000949, -0.10039939788632038, -0.06356642944189739, 0.015603605260281067, -0.020105546373654817, -0.06341452090997651, -0.12210327987365135, -0.11177613240120628, -0.08188369319919149, -0.08248767083787184, -0.057770753284764415, -0.112989766194593, -0.15924398159963704, -0.13122219001390306, -0.07840556693636934, -0.037208253784059654, -0.044594446373004894, -0.10135567642298085, -0.10149782785831803, -0.14672316174379785, -0.1662688342311233, -0.1330370799643532, -0.0777963842892036, -0.07815798380876275, -0.14990829876656675, -0.12216873757965048, -0.11892808495131493, -0.06702405531548493, -0.05729274861968377, -0.03344378681191218, 0.03057203631289107, 0.009377785758957514, 0.03774890713659854, 0.026939034879327566, 0.05561195628020834, 0.07067817508488594, 0.0845069603748133, 0.018529033533291814, -0.00018864486818499782, -0.039078848588463624, -0.08960151087601168, -0.10250670191046853, -0.0617289480821787, -0.08864135839025163, -0.07050493303072473, -0.06839311747006825, -0.10055609528923465, -0.05324904396510295, -0.05999676502412007, -0.10739594541241013, -0.0766570185144047, -0.047670313122939706, -0.08199382417182267, -0.04344080261534013, -0.052936224601197845, -0.029902877761330642, -0.06821639148030305, -0.08758661618863414, -0.11122178568273905, -0.08700272753857038, -0.09113419178710619, -0.1116743483720026, -0.11182068560610457, -0.17672735426190114, -0.2124885207475321, -0.145214983029743, -0.1690311727503416, -0.16972853832165055, -0.17150928597038106, -0.14044542179608077, -0.11213029898684937, -0.08374431083479225, -0.10089789798791604, -0.05265727933700546, -0.019405647574479844, -0.0456348242190807, -0.04979004457276406, -0.0970682585419653, -0.10309443400905066, -0.12169408744359678, -0.13449485886403365, -0.11501820401545454, -0.09958402094386207, -0.11569706907280261, -0.1229048758218643, -0.2024117797102285, -0.23263887436212388, -0.25994138003796124, -0.2944024267007638, -0.32554299098042483, -0.3105600314492266, -0.31566406762166876, -0.3488116126076474, -0.3336144741489546, -0.3742042700491134, -0.4310374173953252, -0.4926792077047329, -0.5071348677965237, -0.4667997053875751, -0.487545665609185, -0.46553767747177643, -0.4905453646897248, -0.4960876232633832, -0.47979086847389263, -0.4621630276851464, -0.5046003566930278, -0.4838296589099368, -0.49202508949684953, -0.4552581382029665, -0.4353212073296763, -0.38668926462251485, -0.3151833029783483, -0.29406784096856303, -0.25467209587699813, -0.2617539042075069, -0.2509755363561968, -0.2225076923033355, -0.19189206575602397, -0.17684483930248457, -0.1596645585992434, -0.10088626867506334, -0.11204492022184469, -0.1125331136588435, -0.11860915390414414, -0.13750342118555933, -0.12234847845737282, -0.10077795187408359, -0.06610557204776271, -0.1373852288717098, -0.1302567283761242, -0.10079649273879429, -0.09447859364238925, -0.07279333027069917, -0.07479527282477404, -0.050266095558753804, -0.10272746252466344, -0.10982160857076717, -0.10687492767840724, -0.09314095023820952, -0.0765783557355236, -0.0446900798498515, 0.00818215710404803, 0.03050838800632469, -0.009165287013910433, -0.005929644228423471, -0.031384235153155346, -0.034423358906448015, -0.04026116988541237, -0.06928601758662162, -0.06638985037284117, -0.05854052718155345, -0.08275608996338343, -0.028282156532011687, -0.016194475397479074, -0.01079341477208644, -0.04007738804052068, -0.041209330488177084, -0.012240052028745129, -0.00054059647475466, 0.02971081609160803, 0.03659622122932178, 0.07160693449743503, 0.033586816338478355, 0.009811691198471115, 0.0390546707123709, 0.06044758928625635, 0.029545764473138017, 0.013339642266932808, 0.07053295451119715, 0.11535704115240737, 0.10691931295677812, 0.046833406164798176, 0.022829980643029178, 0.05010283769025205, 0.060814847799218065, 0.042516417287462804, 0.0894715779869611, 0.08074598574764714, 0.08596373858037969, 0.1015143613484141, 0.1027030141869145, 0.14355519408123193, 0.18051259747490447, 0.16904122647700487, 0.15857589275938905, 0.1418499248200061, 0.17367699889501487, 0.20319046357623968, 0.1843148803977963, 0.21136772623187072, 0.2126111918813404, 0.14550161337177211, 0.1592423698404984, 0.1357170863441423, 0.13354629437395224, 0.10081093363646319, 0.08531177413024756, 0.08297907503037771, 0.15352120863315386, 0.10900863441627946, 0.15985940928711825, 0.10156708350683431, 0.10199341963647732, 0.07371835168234811, 0.05393038521901668, 0.028913609523267835, 0.014539798192872226, 0.03453519343324101, 0.0015984212354071478, -0.031111295948230505, -0.03151363295979152, 0.005763341185649119, 0.026943419716778706, 0.03554650875201411, 0.07244313148275254, 0.0752177304360455, 0.08186751055678078, 0.1012674905257365, 0.08265681270207724, 0.0690054804608645, 0.0034771146070416703, 0.04834977257233226, 0.059517807131608036, 0.03459217549637006, 0.030944619082474787, -0.0016514103096796108, 0.019430466426228685, 0.057638457493190146, 0.06007053051198119, 0.06690342796337045, 0.06523792895983851, 0.14749102989988644, 0.10917283317512602, 0.13907292058561826, 0.11363478593181445, 0.10095837071595135, 0.12069766215248402, 0.15862025912611058, 0.1627351914501971, 0.21071488412542175, 0.25035442366070204, 0.27995019612848654, 0.3681817818380426, 0.3909927937715242, 0.4066589254345557, 0.3733784844239801, 0.4160353030618247, 0.42984121024986405, 0.424152763613679, 0.4218569666132015, 0.44074056436216535, 0.4809550764375518, 0.4842075095593541, 0.5230558846739728, 0.5153618794227007, 0.4642783334270182, 0.43595509625236323, 0.39728427722376536, 0.40410415752734485, 0.3732799710921518, 0.37188072382271087, 0.38868894726321235, 0.39487335336414303, 0.3847816026951255, 0.3550200443783623, 0.3232530536983316, 0.31511897949480583, 0.34146301116055194, 0.2729093066779919, 0.2706766089135689, 0.18881254658156724, 0.23794120890002013, 0.18114350846705574, 0.13213125630056158, 0.0871336761325607, 0.09236935639975265, 0.08994735224823529, 0.09888551924929713, 0.09524750525406596, 0.07922525531274807, 0.053744476669940804, 0.028943551099083618, 0.02724316619334285, 0.04409279891835273, 0.009701156145275946, -0.010096019333894191, -0.014404681483939873, 0.06809721983220042, 0.11478128989051534, 0.06521166118091551, 0.052225409243725804, 0.03812823028040877, 0.03604409209872263, 0.025537286066762033, 0.07061426993088063, 0.08331806473256052, 0.07027305952955712, 0.06407615363416426, 0.07390193318052467, 0.037816484457213424, 0.045512837040054016, 0.0948797918516946, 0.07057166608923271, 0.0379449892043244, 0.053289584938134696, 0.03152572940761866, 0.03517933065998056, 0.009078750550795156, -0.016891989002552107, -0.024527654016469384, 0.013789668232446692, 0.005019131549218873, -0.044699950456174566, -0.01706527511664449, -0.02119137034179818, -0.012357700716726101, -0.04225479990364175, -0.030697930827747896, -0.035345244243568115, -0.039833270163375754, -0.08948306871801967, -0.12343135796748705, -0.10502046090644201, -0.09067534787150078, -0.061345608673616464, -0.024472368901893297, -0.010369826728516014, -0.01721641865442173, -0.0556828370790366, -0.045711160622274864, -0.039734858644312955, -0.024787313080362326, -0.0378718355523955, -0.10310580815920765, -0.09605374839226427, -0.058193629545584054, -0.0009228020029200396, -0.007727155712130251, 0.0045282946390438955, -0.009470733614688809, -0.05238601121739249, -0.04946078258157182, -0.029841119796907383, -0.02195712892142372, -0.02199607343183919, 0.006070873672318174, 0.0158948378535837, 0.07078461684476389, 0.049826914265451466, -0.02994593211948282, -0.03198782983656651, -0.0471500062620057, -0.04871548642801006, -0.10373258467429358, -0.10157187102418667, -0.14497291721792283, -0.14952423668424636, -0.1968269325671952, -0.1729490651337789, -0.18699355826106084, -0.1963349395224863, -0.1545081917614104, -0.1925524420984742, -0.18784763936037543, -0.1746100509762853, -0.1485083813005733, -0.10386413881798043, -0.04874307965790415, -0.04207364373573276, -0.08563348020834433, -0.13784330203045292, -0.14156974015927754, -0.18628991672007122, -0.21382536542712977, -0.14581758675108392, -0.123273067167075, -0.15098444763250637, -0.16718649495226212, -0.13283688322664228, -0.15903751188368104, -0.1556340320862606, -0.12754976418112474, -0.1384704683375113, -0.09788774388761978, -0.15524027699251913, -0.17819536855290807, -0.1638471564504435, -0.14356987226646672, -0.1296667675948949, -0.1625358492696391, -0.16004354520610156, -0.1753107981062741, -0.19845820350675825, -0.17062716235786632, -0.21468189700068416, -0.1894234192313046, -0.1782834024490045, -0.17779412126433042, -0.21621952961331464, -0.21606509703055696, -0.20425921535470956, -0.21110718238801848, -0.17575196467256005, -0.08606234787720886, -0.07947403005144332, -0.06019608651957668, 0.0018900401749078963, -0.0465815949152324, -0.031249731178655756, -0.02989220687479913, -0.024790093933557272, -0.04205137678078871, -0.06245243621342117, -0.07253248221367375, -0.04654221073257315, -0.062058114656889506, -0.03846816601606809, -0.13900568755065823, -0.15322944727261067, -0.10960799826632442, -0.1168308456386611, -0.1050829089117119, -0.11630561299328201, -0.08937639507776263, -0.11474659865568587, -0.11164669790582012, -0.10122187471335746, -0.0819269544004608, -0.0967701066283303, -0.1494314621624481, -0.14552865884520666, -0.1416283057473049, -0.17719618986581223, -0.17849326725037645, -0.1337247220040039, -0.13777621769684933, -0.15892831394152543, -0.12783506465394945, -0.14878825171357116, -0.0791181139668512, -0.05742687106927427, -0.003626416508583259, -0.03435579094721239, -0.06445554768905283, -0.09434060726607797, -0.07747590656789552, -0.03851893454915479, -0.07907297338109809, -0.0432737011097406, -0.016459342961080176, -0.02353900520997637, 0.007108155209563944, 0.016271134385098862, -0.05213648393994484, -0.0917367340345274, -0.08838389613660262, -0.03987908197219466, -0.11323968266146986, -0.15965640040072795, -0.19018102859225783, -0.24792972359874194, -0.23939570519695774, -0.25306459037539963, -0.2163921906504088, -0.25755656190461973, -0.29368338832419977, -0.2934862169071888, -0.25336063109071627, -0.26996983683217496, -0.22221175047420477, -0.20056825301567682, -0.20218240362249174, -0.2729279365062376, -0.27547774085484056, -0.3025746277733808, -0.2976121996662814, -0.2631037416058126, -0.25913684392560066, -0.273456429381137, -0.26798488977855356, -0.27586353211456843, -0.3107784673086242, -0.33921706580704664, -0.35432781136408054, -0.3261346811884852, -0.27809671016243726, -0.23802384035619728, -0.19434672471210498, -0.2329386967721616, -0.18439341472486137, -0.1877465283671475, -0.19542401993360298, -0.17326040964935768, -0.19927605608338086, -0.21450184691629653, -0.23855632102585975, -0.2297149989567214, -0.2360714767357348, -0.24639273638832523, -0.3010343199919556, -0.28369827206096226, -0.2710283550409082, -0.26535880337734796, -0.27794124656201497, -0.22523083152933868, -0.2783335879248165, -0.27518219530541543, -0.26942469672712427, -0.30804404331716323, -0.3043009061350793, -0.3153037789682547, -0.30852881771311214, -0.28494646841942456, -0.25421902769873134, -0.24117279304433697, -0.256206748733517, -0.21102553784671513, -0.24281438138448733, -0.25331129293548166, -0.253272579356596, -0.2251432780174017, -0.19477461702851917, -0.20577648755862293, -0.18705271122742076, -0.18876498208182588, -0.19776106370496865, -0.15273303466077207, -0.1368506134264888, -0.0710132066025366, -0.031947581857132895, -0.03437209359712775, -0.03651460038497559, 0.00458911778830446, -0.008505311872705897, 0.003533526961457794, -0.017381847840535494, 0.02217882854802363, 0.045721645567785324, 0.10108006113897687, 0.07654498176335145, 0.028531746434116018, 0.002747714783318655, 0.04318843304613677, 0.043191196774278996, 0.045322520985475644, 0.13702932879139826, 0.13175627681773114, 0.18336930997982398, 0.16978326676897437, 0.13722171650395765, 0.13360308151797404, 0.17194768847087877, 0.15011435411000953, 0.12472031972322947, 0.1184720486582164, 0.1498441389760463, 0.1364443084370721, 0.14573884996408762, 0.1763836182009772, 0.15962163326127393, 0.16720792286858785, 0.17738254650642668, 0.2050556658768414, 0.22319553644907583, 0.243600059635703, 0.2421581971257301, 0.23239334038624568, 0.2762817029948086, 0.25322944453329727, 0.24942266416440018, 0.23041416718717417, 0.2146096516473064, 0.27412278623205716, 0.16850374263874757, 0.13218487955588198, 0.13916052233380008, 0.16285605032836514, 0.19100115999843081, 0.19720895497612975, 0.18396191229074144, 0.143077160752709, 0.15981004990954292, 0.1730925913341797, 0.1726493293792121, 0.16178031401634854, 0.1709076194725537, 0.22127600084654764, 0.24951566135314773, 0.24971677661451328, 0.240926295930045, 0.19978505918510175, 0.22645192958539362, 0.20898208432238466, 0.1905617960990881, 0.1614329052800648, 0.1774401006034355, 0.2100150116529985, 0.21784547641953372, 0.18741343915055714, 0.2033403940160083, 0.149303216958325, 0.12428668141507712, 0.15237135621186393, 0.1508161212315573, 0.13171456036247928, 0.10724636899171298, 0.1371481588618941, 0.14771410320788786, 0.20707597567566585, 0.18808526223590083, 0.19921836988899938, 0.22190739529234085, 0.22450023617216572, 0.14207244715046935, 0.12851382875712114, 0.10807152472565466, 0.13147404959568867, 0.13931630966656738, 0.1857858231092666, 0.1672786728504439, 0.13734120090898636, 0.15817021922180258, 0.16797595457291378, 0.11151285569115423, 0.082861618934125, 0.08214848017456923, 0.09902011937856764, 0.15331793312769224, 0.22158903050421802, 0.24553700534746856, 0.2186922555887365, 0.2375273909279213, 0.21011011289227632, 0.20729331829180386, 0.21069852681849846, 0.17304594822126704, 0.18696647586902074, 0.16791977241213576, 0.12820847230579174, 0.11007891110494569, 0.09431070658874292, 0.10583110571124282, 0.0984971763086974, 0.04091930707427905, 0.050171827387749564, 0.03871417293586867, 0.023329272633092195, -0.030864015988618737, -0.03881601384946783, -0.082658937167008, -0.11187150774152767, -0.09050811107267308, -0.05247520490839354, -0.03423508168201776, 0.007003104541591282, 0.023839795186744832, 0.02309337829437824, 0.029094808166948944, 0.07764279065759308, 0.0801503436171283, 0.10147210674985846, 0.07723298068721232, 0.07607026294139714, 0.07567624715024403, 0.0971106994122444, 0.09311358081396394, 0.09208079156602199, 0.09555797289696637, 0.13832738703334918, 0.156269430986218, 0.11757153064637009, 0.16349820112697938, 0.17922888929724845, 0.16250858857475464, 0.14462184046028848, 0.18811629473931504, 0.215939930156147, 0.2109958094503758, 0.21549395527385168, 0.2449095328861579, 0.24413108738505748, 0.23607328159368662, 0.24880217442248917, 0.2638199606365475, 0.2751012828943498, 0.2783149590824915, 0.29697511517144304, 0.2750630000815265, 0.27705286147434277, 0.2456657105872167, 0.24798985903591167, 0.2399096125259438, 0.2659975475185653, 0.2908184061058255, 0.3019517235156721, 0.31229733449503416, 0.2822486397474555, 0.3295848621384289, 0.3843216355223662, 0.3974038861013683, 0.44883323469650893, 0.4681256769745381, 0.47982618466961036, 0.536702849901301, 0.5845545268809978, 0.6105061358448121, 0.6458992972294734, 0.6492631341154035, 0.6736295549627312, 0.6883687175172889, 0.6785526591676124, 0.6920540954934483, 0.7112400753309147, 0.7391624469310056, 0.7242744949598232, 0.7548362996401875, 0.744498535793755, 0.6970228630146568, 0.6696165114984924, 0.6594212475463738, 0.6594271047971989, 0.6685962408049665, 0.6909147411124404, 0.6836136003251793, 0.7094833849049365, 0.7066466064292528, 0.7030815007752368, 0.7355150267522538, 0.7949279447719644, 0.7889826947428256, 0.7951492381606119, 0.7657831600356257, 0.7504745893449671, 0.763065060197718, 0.8135885286441011, 0.84067960005068, 0.7822356698932715, 0.7751578382046085, 0.806240649917261, 0.8121080280961596, 0.8215360262356535, 0.793613600398843, 0.7460628865634351, 0.7499957924024309, 0.7095766622445818, 0.7095993430606797, 0.6946753588894746, 0.6526274609055612, 0.7008367720563099, 0.7264011110768768, 0.7250585514648228, 0.748475647313708, 0.774817561504334, 0.8104822863340451, 0.8160514480178702, 0.8267452664905866, 0.776060439626968, 0.7875078323991259, 0.807567515795873, 0.7741138993002841, 0.734802436849055, 0.769883153768846, 0.7895094836858206, 0.7964288937901496, 0.8096726937188633, 0.8236447508624608, 0.8530595700291403, 0.8107545972768102, 0.8519397096446301, 0.7973849416537995, 0.8380979483050381, 0.8094727068149887, 0.8121099616864852, 0.7865350610459195, 0.7330674555531443, 0.7939977525108145, 0.7997701865409459, 0.8073534385493032, 0.815508383176871, 0.8086039015287252, 0.7629343209556143, 0.7629798127456582, 0.7809634648124314, 0.7471606739764352, 0.7681538718414785, 0.7144113794197015, 0.7060401124976065, 0.6912418440658238, 0.6988010763110528, 0.7070205149099084, 0.6860864566281033, 0.6993901245750983, 0.7030236488002223, 0.7490356525776998, 0.7563613239880983, 0.7242112349119951, 0.7808350521058433, 0.7902257351439167, 0.7778059500273747, 0.7738697664859213, 0.7811072875991818, 0.7697272218965845, 0.7611808696776831, 0.7514088268437761, 0.7522048302140452, 0.7131472979198453, 0.7768966942436794, 0.7093435184036031, 0.6624046668236938, 0.6632570615374954, 0.6279779508748202, 0.5681274487713335, 0.5821688169475762, 0.5943613792022878, 0.58190820914691, 0.5834363338803035, 0.5910402949847905, 0.57392874040919, 0.6351347095672889, 0.6527476782293118, 0.6261963595648217, 0.6449989582604343, 0.6262147651231516, 0.6671920317160703, 0.6464750524564541, 0.6261553677665059, 0.5955988704896299, 0.6110718495611258, 0.5801599974503792, 0.6006068432276447, 0.6234820969202118, 0.6355347807900061, 0.6607034696525316, 0.6170642075469043, 0.6647835355851428, 0.6773063178250475, 0.6887147065285604, 0.6756385526452856, 0.649588552846725, 0.6698840074672472, 0.6284472610191532, 0.6308641077580605, 0.6924449169463177, 0.6825314155776787, 0.6772072124183917, 0.6415160884408945, 0.6294871095799528, 0.621031010514279, 0.660646580430299, 0.6281282057014171, 0.6324828898496008, 0.6401429152528001, 0.6919805570832163, 0.7220254693447784, 0.7033603090406608, 0.7208136074550048, 0.6713712225702286, 0.5733525632825788, 0.5033618438798453, 0.4654606108127396, 0.4952209208040816, 0.4864400424378938, 0.5152188483220181, 0.534140687043142, 0.587754111801997, 0.5727479726755762, 0.6517777645976847, 0.677158781755084, 0.6268550833279461, 0.6217595261261567, 0.5600004619526541, 0.5736939164631257, 0.60251774258669, 0.6159039925813694, 0.6512829693167711, 0.6329527804235676, 0.6049769200549344, 0.5823888473512143, 0.5658329592758214, 0.5580974426885763, 0.5662532618070322, 0.5961845295130894, 0.5880352968429664, 0.5781769231205502, 0.5779361252015714, 0.6226463154891531, 0.6029322588768268, 0.5927761608073503, 0.6086794519317249, 0.6068214818367448, 0.6029055485214643, 0.6204264446038539, 0.6968296398418463, 0.643167164739354, 0.5593184089022324, 0.534236773142516, 0.5388120085337585, 0.5808953113481956, 0.6086561715738764, 0.590266513548407, 0.5578757837365876, 0.5473585782591546 ]
93
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise", "Variance" ]
Random walk is a time series model where the next value is a random walk from the previous value. Variance refers to the distance of the values from the previous steps. At a high level, you should check the distance of the values from the previous steps for both time series.
Similarity Analysis
Distributional
469
null
You are given two time series which both have a trend component. Do they share the same direction of trend (upward or downward)?
[ "No, they have different direction of trend", "Yes, they have the same direction of trend" ]
No, they have different direction of trend
binary
[ 0.022686831951132667, 0.19247604467885865, 0.4758651063345157, 0.5981452246489392, 0.8117906010527972, 0.9420352793329491, 0.9959481072554708, 1.140794753051225, 1.3075818467903202, 1.362734096367825, 1.4577156572056147, 1.5143881333475555, 1.2415483193393662, 1.2433154988044788, 1.11938407036623, 0.9120176580460585, 0.9413613591558854, 0.8065171509702932, 0.4505129131373085, 0.340220394665455, 0.14447094274043398, -0.14589807091596002, -0.18145216567538341, -0.4664954416242682, -0.4972099489622344, -0.6302151945335291, -0.7410368706214692, -0.8354306577467795, -0.799104101406533, -1.0771538318193437, -1.0864203081996076, -0.928989205682167, -0.9614821728680623, -0.7603001249790595, -0.7136169523391069, -0.44963491283970264, -0.49986228385707, -0.46929841558869867, -0.10239200947072283, 0.05173137183643892, 0.3138845345686583, 0.5297231783383922, 0.6097974624443083, 0.7542567516836931, 1.0201262407648595, 0.9596652165266242, 1.3486576712104308, 1.4191297937411542, 1.6391033851946128, 1.4191320811758776, 1.6534760091946645, 1.8152755590079874, 1.6997704574912997, 1.675451606629093, 1.5286133215842126, 1.2200444838978517, 1.2715349047026814, 1.1449194946128083, 0.8297920406947243, 0.747088544579048, 0.28485862793940936, 0.3545442429371651, 0.15979986296363297, 0.16630775389205407, -0.1999348664698662, -0.3160756558386014, -0.42749420411102323, -0.5856891021493389, -0.5359271904586147, -0.8603935922608966, -0.5712577460414608, -0.6796061580463165, -0.5114608896683337, -0.8499572215317732, -0.7242808163197442, -0.38919263625985207, -0.16538307720138878, -0.10738678175316425, 0.18685070439738538, 0.41905823095266703, 0.5876194702083983, 0.7344143908698861, 0.9349641176223623, 1.0588038499473695, 1.2986596857843247, 1.370458843793567, 1.5439708404859516, 1.8008886474250014, 1.8047354023289666, 1.8511343457859293, 2.014380850756929, 2.0218298429474473, 1.946353395516618, 1.9072765111007672, 1.8895979745838525, 1.844271410618738, 1.6430305424402147, 1.3586505809087874, 1.2937406002704348, 1.1004165260189203, 0.8527310718840686, 0.8210047860523606, 0.6428859783214941, 0.4779174670509155, 0.1363689013719251, 0.09594860517064607, -0.057142306358078675, -0.14044511842191354, -0.24786097119738174, -0.3243457220848128, -0.36952606948735134, -0.24863829137996352, -0.4182090451364515, -0.2921532349247033, -0.08080210211457066, -0.15732945493347644, -0.015236279905502442, 0.2923181966427617, 0.2522008428798522, 0.6497767027605177, 0.7329353183491623, 1.0255387134650138, 1.06484264210347, 1.5028279865839809, 1.4504373681887055, 1.8185753777988576, 1.7845105505630636, 2.2173347088780764, 2.139221586731437, 2.4242400029887095, 2.201187509907074, 2.262748541441677, 2.421653078375051, 2.1215102987709185, 2.128811861228822, 2.1556941025595076, 1.8870366482568546, 1.9021404831096174, 1.7099233054547016, 1.3703252686165435, 1.4375014727182078, 1.0283256951364996, 1.0450586402872721, 0.7983766808845221, 0.5664796567158881, 0.3411478177938569, 0.3416583041072084, 0.09951881182769347, 0.20975468208990367, 0.14230669339310575, 0.13960013822605682, -0.009121147321151522, -0.05989153579388949, -0.0012777278670368236, 0.0684341885016382, 0.2347590272719641, 0.3832813484195917, 0.614637765334201, 0.6640667513389382, 0.7070773451937133, 1.0024783516075906, 1.400548878896315, 1.2922766074756535, 1.7213225915721604, 1.7996854290151176, 1.9291503872949443, 2.2190928311179468, 2.4772099525583458, 2.4730529697076222, 2.5042962189423505, 2.46411199146066, 2.617286321771902, 2.4970827318520135, 2.5722232048171625, 2.540470781257926, 2.226489533768328, 2.4915862179603177, 2.0964118257275457, 2.049884450961462, 1.954660973222728, 1.8537590092978857, 1.4586632620979447, 1.0999629712025167, 1.274507278975445, 0.8648685508245018, 0.8608386515277807, 0.718221726786775, 0.2219232818700727, 0.27992167655182254, 0.3155768726918582, 0.05159957950429089, 0.1541103735452198, 0.30838596109211003, 0.3257085359155, 0.43282012553413785, 0.5435602859357712, 0.45249037442440243, 0.6374121051691284, 1.0071203169035334, 1.2645598604857877, 1.2083895255257557, 1.531401216295035, 1.7893137602770948, 1.9334421875886278, 2.0791981574806377, 2.2231878690888385, 2.6535024424729436, 2.6129929619927026, 2.7679344728184945, 2.861560916323178, 2.820164957629678, 2.9493990271518107, 2.92478990744378, 2.905371071927431, 2.9237502042921455, 2.724797692114302, 2.5938600153411704, 2.638925614205054, 2.389385501669071, 2.2452544832985657, 1.911543211332032, 2.0173005952646705, 1.7865076381884086, 1.6192962261185018, 1.4075694748940946, 1.0481030425180509, 1.0682698681883571, 0.8488734184403239, 0.7001451615595635, 0.758250037532801, 0.8134134642518462, 0.7653829711779876, 0.6768780772216088, 0.6406120520797013, 0.6809014547833256, 0.6994448708692688, 0.8770556289983993, 1.1331375946234266, 1.3838215007601513, 1.2963833476002673, 1.3682714811486045, 1.7132397963225785, 2.059471906757842, 2.3785286861827903, 2.4992976530178104, 2.6840025199945923, 2.643543953764897, 2.8012333174221355, 2.8841506475020076, 3.0583972428033976, 3.297589868090815, 3.4209108086715068, 3.3152706492530926, 3.247094034979437, 3.127842969269233, 3.156313794853492, 3.093886352027003, 2.8087069917117495, 2.907103114914307, 2.614597414827831, 2.57127910917515, 2.3026708752891136, 2.147178296411945, 1.860735190958764, 1.7144384570402376, 1.6401781231092796, 1.4033890354208487, 1.1641573641525758, 1.165113519901496, 1.096131333680027, 1.1252984877492926, 1.0624299857449486, 0.9297803010707157, 0.9009437550869902, 0.9823687536783171, 1.031429990471981, 1.2403963597789318, 1.4249221815234803, 1.5977331717152237, 1.6040281364723996, 1.7800879330708301, 1.985520902612616, 2.0362917019264004, 2.312114459816259, 2.628082509202857, 2.860216583988618, 3.049338866889883, 3.0831666421908333, 3.2524543709496014, 3.3911119510528205, 3.469965403686108, 3.6384271471077136, 3.470590168155299, 3.4879196857503447, 3.544266971761235, 3.3795227020403447, 3.2403216461765094, 3.169892464648252, 3.1613150701323156, 3.0958957699039362, 2.930043046091989, 2.844835199665948, 2.5109518733233127, 2.3374374760301952, 2.1048265024954054, 1.9334062668156353, 1.997505312082129, 1.6677618896323854, 1.5487227144077154, 1.2950363826832265, 1.3723511082112991, 1.3471033501687668, 1.3718707009893092, 1.3337162681520016, 1.298156571070104, 1.3634875529971908, 1.4708061309366218, 1.6121315739500182, 1.8745947073072573, 2.0211743191729203, 2.1711151800251054, 2.4922771264059618, 2.2243863221310236, 2.6471113413837095, 2.892821540848479, 3.0206087398213706, 3.1772859392836867, 3.265293617497032, 3.553097457543281, 3.797952224941788, 3.884542270225201, 3.8026196117628066, 3.9411075438018193, 4.065855045262346, 3.7587901091965987, 3.845967568958536, 3.8132893159067884, 3.682230662271052, 3.6393846773364933, 3.257405155611231, 3.1430082599923637, 3.1358934154949334, 2.7137219007679847, 2.7781812194285505, 2.556578161956066, 2.406601561711246, 2.1170539309118364, 2.0615780173188005, 1.758928029837884, 1.722674209171346, 1.6810426582737148, 1.5284311794123853, 1.610255241997634, 1.4743222876630893, 1.6462544064549718, 1.8540207058513767, 1.6431452896173147, 1.882100049909026, 1.8620663603264815, 2.1008489646583, 2.4317063603629485, 2.5087963551890087, 2.825009551058768, 2.9892010582460866, 3.14921787259162, 3.2492952212160975, 3.6072919863711355, 3.7412770900270744, 3.711816797872774, 3.9000298174033428, 3.826544061530755, 4.046554022293003, 4.202417809143143, 4.148745122085505, 4.1613721039245934, 4.343869121530275, 4.239190131133884, 3.9714176839437854, 4.000401232894944, 3.9013850248307564, 3.6829068435841252, 3.47844863277152, 3.3766182661372373, 3.1572953692895203, 2.7726339171452627, 2.6934056478591435, 2.484801566443982, 2.496691057839869, 2.182601211989808, 2.0459973110198644, 2.1289192058964828, 1.984213202867108, 2.130222930057531, 1.8235679805963312, 1.8790241856423722, 2.094271614151198, 1.9343380134427246, 2.3016482393761173, 2.181213001105211, 2.517097499763233, 2.4441828468129634, 2.8197255568678385, 2.8749646476188295, 3.406657589915568, 3.3096822992613317, 3.532756477992375, 3.8593391875940224, 3.9227983682644516, 4.21283218509191, 4.210853631557637, 4.318239445852402, 4.482761786179296, 4.423749098747888, 4.615187099398809, 4.663037666357043, 4.6002148222098125, 4.549632402043789, 4.205629860662628, 4.239492205235296, 4.1281437651351, 4.142603475558977, 3.7703707412832097, 3.4189901259244326, 3.363289943513865, 3.2106433259868252, 2.8774689233442095, 3.014267434524676, 2.5970994795326785, 2.6518547807118025, 2.3714967066150474, 2.5284691307146314, 2.273431262953446, 2.2047079694969365, 2.2866826481704217, 2.1446806701107635, 2.3447493313003234, 2.310224424836309, 2.3980095404670236, 2.57346643940632, 2.6208559217752385, 2.877796632300281, 3.113505625374098, 3.0427297241827853, 3.5836479713481624, 3.7592197307116733, 3.6927318581598962, 3.8705100766191487, 4.337411516336947, 4.495435380640101, 4.627321511812741, 4.545287163888542, 4.9679465995026035, 4.778667652117008, 4.917703658277114, 4.928260489151982, 5.0414095892782465, 4.844077706984392, 4.794420819163841, 4.640334433206732, 4.400267327647477, 4.1399121826098995, 4.210644286901915, 3.889695224648211, 3.881904177046719, 3.674782580698253, 3.487165878151359, 3.1907229447495875, 3.231967783348956, 3.023353860804998, 2.72442584143544, 2.9387512740744492, 2.6255782401579393, 2.4557110919287273, 2.4850977841310984, 2.4120268396019826, 2.7311782672747906, 2.765348376623073, 2.8217582720116456, 2.919871176274311, 3.130337944118507, 3.1426343513404484, 3.3872976066654776, 3.454782820091337, 3.7198771436849816, 3.9831542417786303, 3.831907248589359, 4.2741773634990565, 4.538466730885187, 4.685419274043193, 4.800562345367478, 5.035271646377401, 5.011093369822337, 5.037773146287907, 5.327332787062526, 5.332113763172843, 5.156464278815641, 5.168150663270659, 5.189568331433437, 5.012523520672334, 4.940035851436282, 4.792341827626709, 4.553156105668384, 4.46353807814475, 4.133300290124565, 4.0826580771347585, 3.849561458480657, 3.6396545308952613, 3.379411730238191, 3.359569205727219, 3.210550930127667, 3.0045872080734406, 2.8353340270838134, 2.7641237802519196, 2.8655996831170856, 2.9140837167127853, 3.091228011968724, 2.954524649889187, 2.8782381163754445, 3.1289624938404708, 3.4083651636226384, 3.370177347757178, 3.723631559407547, 3.8167377868105397, 4.060979859354673, 4.384452500491481, 4.217556236685946, 4.689370345186402, 4.7797934433076446, 4.870595806140527, 5.114329967071631, 5.431343037761331, 5.5094193866788, 5.262797905200596, 5.4441831109275975, 5.643889280668717, 5.545499104103246, 5.513828480775676, 5.2976079634960245, 5.291236569855259, 5.116184365219108, 4.950724114283325, 4.8356538347516045, 4.699253890773174, 4.536153237926679, 4.342370995741103, 4.341763577434116, 3.9656770597439115, 4.023862055444963, 3.6703175308425564, 3.6168608665387247, 3.4947643214427955, 3.256290064584045, 3.2380624897095327, 3.1737651123674557, 3.2442121702979447, 3.2073222909123706, 3.1888097458445235, 3.3483444032073235, 3.470965946516845, 3.7481085915261065, 3.7186888652656602, 3.880910150520354, 4.1061650572588855, 4.1629325145998175, 4.286480066992677, 4.630908612599871, 4.969618068124522, 5.178594068903157, 5.04819323357748, 5.46750457796315, 5.327254882366748, 5.713247972325152, 5.802865747766409, 5.658014014807377, 5.968340372120413, 6.050360390200453, 5.847096957441819, 5.815284006572368, 5.868865011910206, 5.5021598469057595, 5.375363753488938, 5.2523803427260365, 5.174853526276509, 4.997591990277754, 4.754490539669716, 4.592768192965125, 4.383911801230565, 4.210475123263167, 4.015838731006004, 3.8651743596561423, 3.6090100269766987, 3.6773792430482106, 3.4204334375172043, 3.6351195598147026, 3.4775226183818058, 3.5252413287930775, 3.5338524955533126, 3.610447634537044, 3.8532276995762373, 3.710081580438921, 3.824876700138382, 4.161512368296372, 4.279002621018916, 4.556072718481217, 4.791344503155324, 4.812042768071551, 5.184694540762067, 5.217834303221762, 5.512605364754816, 5.551729465407334, 5.840129490648531, 5.9540656503760605, 5.949904888621277, 6.000880289670194, 6.25912806085147, 6.155973564764189, 6.289330642152016, 6.090800383155228, 6.203765353167752, 5.880442003251357, 6.000192296951315, 5.7270558934968125, 5.589032611080886, 5.274905214760418, 5.2657112721405, 5.0825114708133174, 4.787571065912498, 4.425784316904388, 4.356872301596098, 4.200070156905992, 4.217754075199155, 4.009458495082056, 3.919313861398877, 3.8423542282712493, 4.0099906786084185, 3.86170451677189, 3.901420406724817, 3.8741555815691058, 4.016425128807368, 4.032136756568565, 4.298937976061126, 4.306239026181719, 4.669519808290379, 4.709652809043279, 5.075520852341805, 5.373834517853634, 5.385816836683511, 5.714931792056419, 5.84783446590574, 5.804801877092535, 6.116978020565049, 6.2925946462616835, 6.414504218237466, 6.457953485953044, 6.513331160687512, 6.524064472370865, 6.533264047977341, 6.363886797825258, 6.399871218509881, 6.188077604165888, 6.168521842566908, 6.022123350271769, 5.860185370170798, 5.650392894015134, 5.602275205009017, 5.3576703597987905, 5.160641569575798, 4.878933616708026, 4.8153427422037165, 4.797977642608249, 4.6547731000968975, 4.451987955514565, 4.284943957394349, 4.296682194487417, 4.128856046419745, 4.150247194089085, 4.1208435543947735, 4.331031499832291, 4.392572017796407, 4.413149377428488, 4.717180005006855, 4.735240261377528, 4.898602968906839, 5.072039585142758, 5.115933318808156, 5.354122796123239, 5.64114331042898, 5.841965418557465, 6.09786398677543, 6.152206165156177, 6.389817059674446, 6.535235747300485, 6.6594197245937385, 6.74233209701747, 6.666181246391316, 6.61670038574594, 6.754601400594871, 6.7713702465831025, 6.652875411725335, 6.68342284184113, 6.690478433438171, 6.52355796261709, 6.347443125605191, 6.233398992449439, 5.864884376822275, 5.727064819869609, 5.6472159147617935, 5.353582482959861, 5.181346843992098, 5.243358009402515, 4.916163753771913, 4.952045716989794, 4.485346184943516, 4.522324454216461, 4.571959706027548, 4.5155621583696846, 4.305987425608877, 4.524244891238294, 4.859803552542802, 4.730742440342606, 4.8862218632956225, 4.904581545602014, 5.156696196195733, 5.310955491370853, 5.616154939727932, 5.812862163776916, 5.947955236907339, 6.115767864607387, 6.135965600462403, 6.316886400178477, 6.66580404244951, 6.895423108207005, 7.069047306047495, 6.949472420663087, 6.962465210766865, 7.252375324380798, 7.093135629283264, 7.002077155506446, 7.065803465956267, 6.990933336193678, 7.074384711832101, 6.905319095462514, 6.600660369082177, 6.652787584297556, 6.351145237830926, 6.261855625539277, 6.101726267121415, 5.756814832805916, 5.659803442491392, 5.391692867415238, 5.369499415344148, 5.148034171580942, 5.119481124853833, 5.08528789942482, 4.924212025588553, 4.825862839492855, 4.823315447289635, 4.561451038235859, 4.841958353868879, 5.0913418556891905, 5.206820791512517, 5.172511707839137, 5.419844379868957, 5.559540455586586, 5.836120206335872, 6.185947977067504, 6.238490689936863, 6.303099099606993, 6.55995051305671, 6.896266739732648, 6.789724442200849, 7.02580593813859, 7.293625052819976, 7.462890980363279, 7.478204544299742, 7.411671333125714, 7.5510716132587365, 7.533555981048924, 7.4918722057623865, 7.382752357850282, 7.306189727238563, 7.093746561553988, 7.294315473595354, 6.905530964306521, 6.7739435983906, 6.5166219257241425, 6.436899002295525, 6.035818831185068, 5.808455968472107, 5.806006591117513, 5.853591414598272, 5.625339709451963, 5.300852291166258, 5.334534677538482, 5.1471850644892925, 5.209856694074821, 5.203909591080648, 5.262725719225283, 5.060263954327865, 5.166230700462781, 5.388752024144426, 5.421832387643901, 5.5651878821057315, 5.873283535223106, 5.939359903667516, 6.452236512506973, 6.374759069224312, 6.604062756760735, 6.86052967125138, 6.8717034836655655, 7.252654137627154, 7.398684926099573, 7.472022122174289, 7.653182758749247, 7.761192812655911, 7.926146319268364, 8.06724151611901, 7.715335448605232, 7.665794600260131, 7.750445988624631, 7.4490557707007845, 7.61301312840086, 7.4276853977982356, 7.301980899595478, 7.0681976600851835, 6.946022721769639, 6.782885857723325, 6.56865570184659, 6.2297140119129155, 6.20423984479691, 6.206986198348505, 5.896170214997103, 5.756037973219481, 5.791688010630569, 5.4803552815163865, 5.591150907547578, 5.42594081757127, 5.594653507578329, 5.60312826938093, 5.549003706588204, 5.658696630527327, 5.904178754918045, 5.76526044654678, 6.071018121089182, 6.357865555988131, 6.45765002629358, 6.702133421078531, 6.687610208537471, 7.007519809535015, 7.355636057930022, 7.396268870404018, 7.509500616443034, 7.895096030175803, 7.9670823750545345, 7.907756307845282, 8.103816995073878, 8.028406919662046, 8.132596621270714, 8.1489474701121, 8.004265332090224, 8.084690605377912, 7.999115689356241, 7.810886419623451, 7.680525146889219, 7.331608612448089, 7.438170103269934, 7.109609879647256, 6.838375093174465, 6.76073431428034, 6.640737223755059, 6.447811653939185, 6.133147786753788, 6.181025844462863, 5.984946932712749, 5.951954183971628, 5.759926541357935, 5.912039780639977, 5.8231922395080105, 5.951636570422005, 5.736982826778837, 5.836720964961739, 6.066031986977941, 6.374199497583412, 6.5822149451495555, 6.473035672913439, 6.756505046076172, 6.965020892130167, 7.223998073766841, 7.443008453905128, 7.440345895874191, 7.745875199199038, 7.712197570997512, 8.149751368720143, 8.168845127445062, 8.191561711549369, 8.427648619652137, 8.410802431513018, 8.597332988725046, 8.374956207753772, 8.649531574644833, 8.446798804522615, 8.397097828541877, 8.047757690149295, 8.19017588071952, 7.73271165850962, 7.661579241029845, 7.631927751792551, 7.36593342024828, 7.004736370498745, 7.0599097796399946, 6.807014403667665, 6.571380336791491, 6.316186135332189, 6.392306272823078, 6.235131763003724, 6.196503060733138, 5.980410376322525, 6.084995775507888, 6.193183132682446, 6.381202216921775, 6.250564308606063, 6.520408227495405, 6.584898261537979, 6.681767942106777, 6.7280271843103945, 6.917784284848698, 7.272552515402608, 7.359955328427337, 7.5540183241565115, 7.796861895752046, 7.989688990518618, 8.274640253478257, 8.295715571541313, 8.56757699247886, 8.648869456005938, 8.528551670153353, 8.788048608021867, 8.524739275209072, 8.704577898531106, 8.812793251442558, 8.708471313908587, 8.448036780889257, 8.402689010413779, 8.120848833194337, 8.09539039044153, 8.120113204443932, 7.827931290636978, 7.715567286818262, 7.512947876468454, 7.330692886372507, 7.253098420840828, 6.965821400295186, 6.928670176422313, 6.461318543520873, 6.71491495388854, 6.395501132514723, 6.366085157082711, 6.381355681874774, 6.568927117416269, 6.410605228040194, 6.502459234324157, 6.5684457733897075, 6.812628198455689, 7.0070576426069815, 7.2685366573125725, 7.519478091748059, 7.537689240189615, 7.709706417395182, 7.7545073554639625, 8.268174189709063, 8.293011518556897, 8.425503654126308, 8.660574295143777, 8.706205939352245, 8.66130958725435, 9.051867839538183, 9.20070121659155, 9.164523245781874, 9.12027889540302, 9.104148888226398, 9.072199083073688, 8.992955434845403, 8.870250072046824, 8.752775011337468, 8.759304209265274, 8.487979029931754, 8.275749337010646, 8.147624194940066, 7.960726304342331, 7.803844972804724, 7.454049694417272, 7.312777027416679, 7.125446020915879, 7.14825783756569, 7.0304410994431565, 6.7436154941394255, 6.849848016526401, 6.917004537505622, 6.755403396962498, 6.839843636666786, 6.940838395669954, 6.82366791213084, 7.08551032468087, 7.336182113979076, 7.3092136545283335, 7.628577328865743, 7.737984549235312, 7.866487889001761, 8.127068869640636, 8.286279162067705, 8.446917855934151, 8.697280221028288, 8.902293745503288, 9.03336084069621, 9.156172306238263, 9.313258100239848, 9.424531704820012, 9.308735961665507, 9.419622553005485, 9.238855620523433, 9.381374679616801, 9.345196135853937, 9.292668481803, 9.132129944681516 ]
[ 0.05481756440542482, 0.6824476600993806, 1.2386442445450003, 1.7366351189903846, 2.2390722017691544, 2.452748028124132, 2.610312576017708, 2.4884632135389286, 2.322874168361053, 1.87418654078895, 1.3748589950663792, 0.7437182833713176, 0.0016422900126334648, -0.6758156364904457, -1.2553651906809695, -1.6174856904367128, -2.39533052572202, -2.575356231610259, -2.8121539529047284, -2.6302616803233825, -2.458231243016795, -2.008698891641329, -1.4569921546103308, -0.9026592338541911, -0.3604878672688694, 0.6394908155105877, 1.2214909904643332, 1.6834297338289064, 2.0464448997973648, 2.434612585107633, 2.5834455244358554, 2.568275898545083, 2.3476870185744696, 1.9782383575248885, 1.1782179547526828, 0.7032266365380605, 0.15804162489935003, -0.7197486425659737, -1.1567941640457484, -1.6706368382710113, -2.188791816672201, -2.5508090498340352, -2.8029951949792578, -2.6942830017520802, -2.6467908276146996, -2.2199002275156534, -1.7074582566394423, -1.0239380203399226, -0.4032472879356617, 0.3431053241920428, 1.0545782533781465, 1.470647633020387, 2.0174243521572177, 2.276832869755399, 2.4867919446254025, 2.5089759752675636, 2.329945896926214, 1.9406166785863113, 1.41334272423048, 0.6244084347824893, -0.010564651737769187, -0.6722979220830909, -1.2140060536927089, -1.967320427335047, -2.2818187052734227, -2.6235739010663095, -3.0128479467712608, -2.9209239465295083, -2.5249658661818692, -2.2136010848991003, -1.8826372866342587, -1.3084722983167343, -0.7905932574907583, 0.28326988545528725, 0.7981728584036235, 1.5721517936491733, 1.846252254829935, 2.234657154509153, 2.4727157495206313, 2.5487510809800975, 2.260056758664207, 1.870652083458585, 1.3916659635526965, 0.6929295698230467, 0.09771870537866452, -0.5465353880965808, -1.0809539749425103, -1.864869119530196, -2.2132251314850073, -2.686940876154969, -2.751348971159815, -2.8296176589819138, -2.6813414723360887, -2.3233609323851283, -1.872709405571202, -1.271709870264059, -0.5133292729751628, 0.11640322503677067, 0.6661992167130217, 1.1789397626839277, 1.7612407632022442, 1.8974672151586867, 2.3776982955891257, 2.2187676319797425, 2.290033157746147, 2.061554928771915, 1.2578332901768785, 0.8217304376622746, 0.06713246550427564, -0.6857409257821507, -1.1973585054341611, -1.7392467927268678, -2.2443548574625503, -2.687859324791002, -3.0939715658713793, -2.965463321395489, -3.0000860858713794, -2.69807603048538, -2.2111896065520376, -1.444290577762494, -0.8521528756388062, -0.19488145690487366, 0.35718334895134657, 1.021004781853128, 1.4432127355012563, 2.1060044052737408, 2.421173139783562, 2.3157110077785514, 2.2144200131339726, 1.8369207772282943, 1.2520182406582696, 0.7695995657188488, 0.16383200970919612, -0.5123571252700798, -1.2143388988180162, -1.7762998239051322, -2.401625790803107, -2.5068154314603293, -3.111381504113176, -2.964950670471934, -2.9811845096329677, -2.639352877819406, -2.213085418659521, -1.702648108678827, -1.1992228573828696, -0.4424327150899937, 0.2828247648755786, 0.9045878249152414, 1.3301122971805317, 1.9740681216855087, 1.854210145059271, 2.165683127150337, 2.0081400455530236, 1.8563934530921882, 1.5235080817361373, 0.7383483088640178, 0.48146743288169336, -0.4144314906004716, -1.0793757313468777, -1.9009388844848378, -2.314720423427869, -2.6426872369076655, -2.9966423555078423, -3.1109038626971652, -3.0598927526896413, -2.9497067388290175, -2.551421916979517, -1.7682291619007735, -1.175709781595558, -0.488329372820279, 0.004872586464386125, 0.710009877335623, 1.4045146731440084, 1.5934324920042084, 2.1141947479054743, 2.058048645473791, 1.9692901180511786, 1.8163149157424265, 1.314703192830803, 0.7120494320736229, 0.2881976937619547, -0.3420323161502124, -0.9596306147599685, -1.6698988477555496, -2.103756716384586, -2.6160420167625804, -2.982162090466619, -3.144665081589996, -3.026894698659059, -3.1554052221474262, -2.606839230286921, -2.2353805816436707, -1.3743393507317774, -0.8476056988926801, 0.20931668981676355, 0.5036263295901997, 1.1377287104351903, 1.5435015588432008, 1.8455355747934934, 1.9134184014120583, 1.8768085452954653, 1.5787636354081047, 1.4820797780359576, 0.8794466705758308, 0.5070105667804753, -0.4809675314645014, -0.8961920955466068, -1.5449197228585825, -2.1597454844528126, -2.7370964596396226, -3.1237292370866547, -3.125894018483373, -3.319698001676993, -3.0250616165967723, -2.705488528413295, -2.3004426620136575, -1.588028123946546, -0.880769184801649, -0.3663868481141825, 0.42908699396618477, 0.7469413599125774, 1.342429288432202, 1.7375315695501057, 1.9905518963279238, 2.037195786444732, 1.7779928572739452, 1.481758010234227, 0.9233436744867765, 0.3855571356162713, -0.28290323645298854, -1.0566331112127867, -1.7073250089683543, -2.211659225391425, -2.5840367255564143, -2.9988346805056576, -3.4237731642190106, -3.439171563905927, -3.2194761266779417, -2.82987509272144, -2.3654830545237093, -1.6652792824540332, -1.0065226760349713, -0.4540531805674788, 0.1861424670252922, 0.8614153996748686, 1.4135820718642431, 1.723062267295991, 1.823809496821518, 1.8298808422496597, 1.627360953947766, 1.43832544902566, 1.016366054647971, 0.448202174185191, -0.16509789187867474, -0.8190436760526995, -1.777195889649657, -2.212639906109571, -2.7223488732681003, -3.1522617678462157, -3.446468504754793, -3.2636013809293893, -3.3342305416704683, -3.193932816670634, -2.524394522344791, -1.984679687320346, -1.130609947595902, -0.5874333258267829, 0.0025845527734354654, 0.6272523831835919, 1.1427597986626457, 1.769866665985277, 1.8420855000857441, 1.6866116057352731, 1.678330629047342, 1.4066904767824542, 0.854959754893956, 0.22408055901269727, -0.1837285544744638, -1.00851110127515, -1.481187354562679, -2.2311211496631373, -2.811214776867782, -3.4077148146496583, -3.2896193054497975, -3.4555343689293783, -3.425257573379391, -3.1947574919599364, -2.5195223487556406, -2.236836880837657, -1.532663426417068, -0.761484603911071, 0.0009310965155111262, 0.4599641235775884, 0.9430046278806044, 1.413681155472725, 1.7680211924988856, 1.871854488575751, 1.525191619590926, 1.406715191844441, 0.8308168565452856, 0.5163052216780227, -0.16507920630635278, -0.9809632511200745, -1.4176527067917586, -2.1748066997754254, -2.7353954117477817, -3.201039013176998, -3.4563573195089377, -3.595220277768132, -3.555177617100112, -3.109906718086399, -2.878528760464961, -2.3503405700327513, -1.6870307269285085, -0.8581431293390291, -0.20955456505864828, 0.274395495324299, 0.9887319498324794, 1.307327816948619, 1.4917774049961554, 1.6382500726201683, 1.7554902841977051, 1.5856624060581568, 1.011475638650039, 0.394415751672142, -0.18505255322792705, -0.9259041656662169, -1.5965709668402372, -2.2538903858941137, -2.756725377631088, -3.1841538108795677, -3.5096062413017486, -3.6467503077122383, -3.5011260866322824, -3.3787733372532944, -2.992234727029779, -2.4802355302422567, -1.6967710693869364, -1.2317360945146145, -0.4426481867360539, 0.06912197796785602, 0.7474346505946702, 1.2193578894532788, 1.578653166432118, 1.5697476280899616, 1.4577031595965881, 1.2770310773230715, 1.0777876368795059, 0.6799428483858772, -0.05575582113480371, -0.9369013434711247, -1.4176704510488667, -2.248723492904154, -2.7714727832050343, -3.1867030475980798, -3.4940806280953587, -3.6809876777247723, -3.7288614288204336, -3.368739905535024, -3.1714922198318076, -2.4994386891388567, -2.162546791354818, -1.3427719674014762, -0.8053905572681705, -0.11140090826783781, 0.5044897454197684, 1.1811779306379986, 1.4907590176152241, 1.6132851363280498, 1.5188003172934053, 1.3480952661379808, 1.1062810661467026, 0.5599467551223091, -0.10562200601409756, -0.6234545359673968, -1.3783285011322655, -2.1001172331953715, -2.767261953802671, -3.2657742045407594, -3.5937175883576997, -3.700129572393749, -3.672168033159751, -3.7338154893911795, -3.452795953995271, -2.8796204854680827, -2.2412130228489877, -1.4259372338790501, -0.8920143605415871, -0.17632292445432057, 0.438045950268395, 0.7874198967514807, 1.391364954598687, 1.372458939255853, 1.6132296893801894, 1.2862599317997492, 0.9405200664994278, 0.3939788875612299, -0.0576787410656901, -0.5087177208428073, -1.3798652046389064, -2.065564681645288, -2.7700208928195655, -3.1534110463055427, -3.570547966317149, -3.8058149106871415, -3.7886567702243092, -3.881312865044888, -3.4038677297047246, -3.0608720631961672, -2.3695397740803856, -1.7984625790643936, -1.1112602006463401, -0.5106273781506512, 0.3455550297431493, 0.6790579938097016, 1.0641377095384073, 1.5005009252835615, 1.4512083034732202, 1.0606580416410434, 1.1036650934574894, 0.6821291419074804, 0.10610487274927297, -0.6301635531076281, -1.4924277697296398, -2.064195739141801, -2.827549016414644, -3.2974285605367104, -3.719414778978207, -3.9113745394894712, -3.899505418428231, -3.850184488801071, -3.5744464904237736, -3.1239229492124005, -2.392437679864092, -1.689289889914705, -1.27276237406544, -0.5206514068294068, -0.014978162666025738, 0.6771751115676073, 0.9559512591486029, 1.1802846612896638, 1.5271013701924645, 1.0893512536540957, 0.7068169520140182, 0.59999891890654, -0.06013698459405636, -0.7253917893390307, -1.0699078727869233, -1.9515151625942733, -2.665409415195031, -3.2764244422466744, -3.5816572254159897, -4.066573233818096, -4.040639054260826, -3.9109306479420423, -3.6322158965019957, -3.259562866581153, -2.7794593811541257, -1.9921440713892231, -1.5749932514744884, -0.7603339658807413, -0.1498901682727935, 0.5518250304596237, 0.83068234887164, 1.194616273321921, 1.2881384648784986, 0.9978175875662096, 0.9285148208411129, 0.35816998436788094, 0.03542585000579274, -0.698806234068935, -1.1852024303534614, -2.006665674918809, -2.7110929562682062, -3.077171199634694, -3.727322569234403, -3.8439585542130223, -4.010764756315436, -4.040800964222011, -3.9110281692596405, -3.2683228432246, -2.825473937945913, -2.338683811214503, -1.5674265854765659, -0.811327605566476, -0.2563815078589765, 0.32150235094468743, 0.8487827664218717, 1.1995811162183962, 1.1661272103428406, 0.9994425084277921, 0.7837154023980265, 0.46588783174218895, -0.0719746342467409, -0.7603623132688226, -1.0800555936614828, -1.8988051316575378, -2.6588425297058733, -3.1887965193303556, -3.828759787745228, -3.853414604691822, -4.3163332052201815, -4.045756722733049, -4.081006369438849, -3.577609370326177, -2.9140972808394983, -2.600710873888358, -1.788547077517277, -1.0294987334542336, -0.39271998984132933, 0.1486370674284323, 0.6603124221378871, 0.8753864451364455, 1.2899915490046332, 0.9194275419417142, 1.0048987076410711, 0.5529659524549662, 0.10182550244821148, -0.4805462683971572, -1.170611180758198, -1.9949091098622709, -2.6054854131000806, -3.31609946178646, -3.6861525793213827, -3.9682550751005774, -4.119893071497687, -4.145545436708543, -4.1881905214038255, -3.7325685410222347, -3.2647400950851035, -2.742523652604506, -2.038594465444912, -1.2732183672648483, -0.4712030329292397, -0.1126490813880997, 0.3592566350372, 0.7628113243041471, 1.0444723561147566, 1.1455748410212936, 0.8505033253784243, 0.38481998925382777, -0.06736902104664605, -0.5107842778081529, -1.0885452951163899, -1.6937823013465543, -2.663692017517906, -3.1395178560256762, -3.7617821402921003, -4.117441728240297, -4.333571477061017, -4.301443087210672, -4.212133057938345, -3.5649115624776466, -3.401779011310665, -2.685104262086074, -2.2016216800180404, -1.2316385874991658, -0.7538325161901487, -0.09537394946251859, 0.27081363119968394, 0.8024423270353367, 0.9536428199682913, 0.9234083096339235, 0.7172979759713113, 0.49728938985253995, 0.036520845649594014, -0.41422619900203506, -1.1739455807973014, -2.0286112380864507, -2.4478059871549225, -3.0040487939509566, -3.8243316990192007, -3.8699679864315106, -4.1456397632079725, -4.409811009083009, -4.342481046589345, -3.840131683448036, -3.6470691142658045, -3.0210980355904815, -2.447000623138572, -1.636340518659944, -0.8179075965587643, -0.3059046575852286, 0.28600277514436495, 0.5474893985987186, 0.8347604317311252, 0.7721347878331142, 0.7773356958180371, 0.43421625088352356, 0.06262711871332746, -0.4976275232848229, -1.1457591040672244, -1.5865462746957102, -2.3012037543129247, -2.9690976681268353, -3.473706502209019, -3.92724806380647, -4.333075144466345, -4.433285012224018, -4.309659125352609, -4.095211927657994, -3.7652524197543453, -3.092818221486032, -2.6508790347568367, -1.8052939125899996, -1.2419355578254563, -0.5182710009428874, 0.054215753416760784, 0.42117639677703633, 0.5613449093509408, 0.7048110041115075, 0.7901317546440176, 0.4368681328148058, 0.14133828302375756, -0.4496061153801153, -1.0988267263910532, -1.723321823460858, -2.509730451979061, -3.04566053658327, -3.6873441849949056, -3.8302549883998047, -4.485276824934014, -4.5259505704772245, -4.4628436130219615, -4.334024136144279, -3.7365212089366673, -3.331228771111156, -2.9097959852450144, -1.9316356505401806, -1.385265098837042, -0.6897021027392153, -0.049559678417501155, 0.28980010571464637, 0.5840113035350883, 0.9942787174774834, 0.4817113519592773, 0.34374736574636644, -0.020710583792841797, -0.2499445396218336, -1.1095548318563426, -1.694983077687718, -2.452867715404784, -2.998179300080189, -3.6356788433892335, -4.069346500652985, -4.279771303465731, -4.510994506773943, -4.598086555605897, -4.288211612534434, -3.711668438686536, -3.395233867567746, -2.83276396968809, -2.320063488053861, -1.4293648086359882, -0.7631367160472595, -0.24140227823908156, 0.20360932233684167, 0.7960563805418426, 0.752915870337413, 0.7693201288279156, 0.4546062137052198, 0.07509004998989732, -0.34649186375363544, -1.025904516186625, -1.685292961799818, -2.3214852983961145, -3.0805641705924693, -3.5983583829057864, -4.093595177607719, -4.344034109896484, -4.67632448522839, -4.813434452220615, -4.466862823556154, -4.054684790288769, -3.516030142864417, -3.0917776046414893, -2.310233151375032, -1.569227150603278, -0.9483092072311696, -0.5101185132024734, -0.013963433924159371, 0.443465761353232, 0.7448564217619619, 0.5903834372799777, 0.40271918704603976, -0.052571625676986894, -0.42972901271759567, -1.0534201129432614, -1.6392967032492267, -2.4807527888586764, -3.0310875324780095, -3.7044125390832723, -4.010815487747193, -4.554591610894266, -4.727995204347379, -4.669494012248564, -4.593273243290478, -3.9956742573817707, -3.6772779388965486, -3.193531483098857, -2.508449954634291, -2.0998059445185033, -1.0750854934534677, -0.5410407619925232, -0.09445049336225246, 0.3394476569546804, 0.5614652126326027, 0.486370983354582, 0.42428680654750844, 0.18167106708508957, -0.334307084796584, -0.9782719083889958, -1.5748328685962822, -2.152422485484663, -2.8871177773939207, -3.7002288313565623, -4.04581239838627, -4.44696972841699, -4.605339730512797, -4.774071572106973, -4.692587990155856, -4.501853045927656, -3.9947041803030983, -3.245258885183657, -2.705471249343215, -2.056155159331909, -1.2450866065296697, -0.6470829759189689, -0.3057333241647865, 0.2816740676414129, 0.23262063719084, 0.5083772879112538, 0.38303715701883606, 0.18034093351229796, -0.33123950054252993, -0.9506276077757332, -1.584441242279301, -1.9822027609623565, -2.9230628428966394, -3.50206077039291, -4.302773046611652, -4.594689695710587, -4.716324619373826, -5.013819701408949, -4.704052500048096, -4.567068190406594, -4.180425226105273, -3.607606270428641, -2.75151892732427, -2.1949449639246694, -1.6434664481693273, -0.844797115754889, -0.29760986747748325, -0.0019425972018299667, 0.3956750725900047, 0.4928752406761249, 0.3922323905078605, -0.0173981651715283, -0.4799808800543637, -1.0708365923505898, -1.5979190758668216, -2.2490895928802197, -2.9244922850279593, -3.5419426212007266, -3.920200120617031, -4.561428733461189, -4.815032659023122, -5.104501378298542, -4.635063787658266, -4.7516655084015245, -4.2962598254565565, -3.6315167284576075, -3.0574696147733196, -2.2460816979205953, -1.6593913071088517, -1.0990558369969958, -0.427865879740748, 0.022929579620873927, 0.13054922661478044, 0.4136414519370974, 0.23857101275529907, 0.02019517983646925, -0.3438469300002711, -0.9173930432808888, -1.5415929667243782, -2.0747112998255086, -3.0121625352566537, -3.6166152964214495, -4.015671839459525, -4.546324794905707, -4.748513133372623, -4.952686436087567, -5.08558191475273, -4.73521546858481, -4.317257303383602, -3.8415815706700314, -3.3053555625984856, -2.61971667596658, -1.9673781706178968, -1.394181235019483, -0.8333634375041391, -0.18748995873832625, 0.0018108441246085238, 0.29540332511490147, 0.1504491698194317, -0.1243457354486707, -0.3984612150190059, -0.6501940152017047, -1.474930486399975, -2.0697599709446965, -2.804896254776256, -3.622151746044682, -3.924843091572797, -4.5715329311981705, -5.011839789135489, -5.100813261373943, -5.062628111860128, -4.783792330683294, -4.580400131134172, -3.764215465009504, -3.5271231013767883, -2.712660112258577, -2.2895603453162194, -1.4467288076787173, -0.8081594445700198, -0.47553398026390997, 0.12690051373685152, 0.19717697089731553, 0.12277528752820996, 0.02153910417947398, -0.42011328390204017, -0.7175216917060327, -1.3327275598752446, -2.0586530583257385, -2.722394890472628, -3.59865612034405, -3.90673612199735, -4.560666509213067, -4.807090445142597, -5.0311068957832745, -5.026234002320906, -5.076494732322639, -4.742336206301525, -3.959897116619543, -3.7584755130385745, -3.064578826414551, -2.269256400501603, -1.6043438069259077, -1.0595045430293013, -0.4427288144297845, -0.04903752908461434, 0.0632014584390987, 0.06767020077399488, -0.055153275816795515, -0.41734147798544197, -0.9983785468121354, -1.3748856777946696, -1.981729056395205, -2.7602164626833052, -3.6450535936655704, -4.091544614736894, -4.4605211443738115, -5.077983629444331, -5.088421167258052, -5.252334242533273, -5.082237931010316, -4.853072552303482, -4.453814590258713, -3.63433014220752, -3.053420877999508, -2.3909575211010146, -1.6940734623521765, -1.1185209098567679, -0.5542402921122489, -0.32608021711510315, 0.10950923472217264, 0.15871848336541852, -0.05134707547560547, -0.40705047484846624, -0.9398202964497561, -1.3548427498373774, -1.853008583021966, -2.8218329112312084, -3.2828347377918927, -4.059869789135458, -4.586573330414236, -5.072108138657208, -5.280628892657936, -5.219070905104187, -5.107488124173371, -4.8912167509381215, -4.54277881722863, -4.057227086122225, -3.308053677058528, -2.6740109978057824, -1.941318640239859, -1.3667142641081858, -0.8259642569307857, -0.3683546981116333, -0.09084613487304283, 0.08298806028858677, -0.1639936098122956, -0.33827613904679765, -0.6291800901936024, -1.2954144879731062, -1.8693196370292895, -2.7285974327421947, -3.421446634929747, -4.004590023643295, -4.546766381833465, -4.863812655349595, -5.3212119325158325, -5.363929818332318, -5.176899704238992, -5.019588357177498, -4.642987563915719, -4.089869671513895, -3.605057904183798, -2.934019549462358, -2.3000001231012646, -1.4820630762377096, -0.8555502605424019, -0.43627578716799187, -0.11399046396880919, 0.03209924115308618, -0.16121452867594213, -0.41788983800134344, -0.6573226389179747, -1.3999900673781274, -2.0690881900694063, -2.6612626672469495, -3.3586140341462585, -3.957488429377031, -4.616758816431887, -4.9462809320224785, -5.343562832172731, -5.2989262351614945, -5.499111241753106, -5.177353915454573, -4.821236156574571, -4.255042383606625, -3.5763663829629735, -2.9750000781730788, -2.3338255106164465, -1.6039192879173907, -1.0173249772924746, -0.6184207905192374, -0.2963097443019866, -0.1272134807761422, -0.3899872337846594, -0.4692348434742023, -0.7661081076397777, -1.3388340700279648, -1.946971570292885, -2.550973485723712, -3.235953128694293, -3.88719728041464, -4.598181897566418, -5.1335238421686435, -5.2402232689709445, -5.558037833371215, -5.551528958794379, -5.371680192472636, -4.8149803987081, -4.418741175593225, -3.8099947274294714, -3.1142970408158814, -2.505846410459321, -1.744088552122149, -1.378507873008675, -0.8902231991123536, -0.5602273662836554, -0.23288691487268687, -0.22943674438956163, -0.5083451958828965, -0.8293509603809945, -1.165330469400199, -1.9561379054178236, -2.5204521129613306, -3.3062075737103993, -3.7939770148582674, -4.440385939746746, -5.136365676846122, -5.376420401049364, -5.749133234011786, -5.4664680172738285, -5.1906250841122645, -5.28684148608843, -4.741707977521393, -4.001019043470023, -3.3661894973587962, -2.724000308474261, -2.193253858165235, -1.3865406988153326, -0.8329342592753133, -0.27682957181746465, -0.23210378529191772, -0.4690325521759968, -0.4934944569555533, -0.7529596015744139, -1.3462636949682936, -1.779026792263124, -2.441825360337076, -3.0752512949283055, -3.7912893816426836, -4.456202710308951, -5.061354759581242, -5.505067955531073, -5.5721784605050715, -5.678423764291314, -5.535604684436293, -5.091589382303514, -4.618247808055551, -4.312906134464733, -3.565745956345825, -2.9080131870548334, -2.163776881709804, -1.8082730115663566, -1.2113735262396417, -0.6928743374777847, -0.3765732759988314, -0.39533455143600127, -0.46072929521142614, -0.8022963241927206 ]
81
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave" ]
Trend refers to the general direction of the time series. Are the values going up or down? Check this for both time series to see if they have the same direction of trend.
Similarity Analysis
Shape
470
null
What is the most likely autocorrelation at lag 1 for the given time series?
[ "Negative autocorrelation around -0.8", "High positive autocorrelation around 0.8", "No autocorrelation" ]
Negative autocorrelation around -0.8
multiple_choice
null
null
45
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Autocorrelation" ]
While it is hard to directly measure the autocorrelation for higher order lags, the autocorrelation at lag 1 can be approximated by observing the time series pattern. You can tell this by checking the sign and magnitude changes at each step compared to the previous step.
Pattern Recognition
AR/MA recognition
471
[ 2.91368140163189, 8.796822944861063, -1.9983227850967369, 2.4545180937931246, -5.73494921469418, -16.84089514057421, 20.246720447184398, -9.208489344650754, 0.5516493309299939, -2.514222976111117, -8.164701827413838, 6.506295215075252, 0.9684866538036063, 10.302960072744208, -11.166583328663645, 17.339541626518308, -6.06951450710357, 1.33666266270823, -16.75760751121423, 13.457098846921513, -24.19654249120818, 12.791049004636621, -13.819096147603974, 22.906766998904125, -2.6982405488789123, -9.909232343004879, 16.695878790973293, -16.39686541052039, -0.5981024876456456, -4.555343517677575, 18.285381733017033, -26.990919707728246, 12.175588102501306, -10.859974521322448, 0.5139282695254135, -3.434246294863075, -0.03759306653167771, 3.828759469709048, -0.8118445664457177, -6.5323377976686725, 12.281729871708876, -25.515980763666764, 25.166960425175883, -24.15761270022255, 36.106141810085745, -28.722200744177766, 36.1802403688972, -6.586919113001098, 7.745446667547849, -12.407252727885897, 23.876433286944334, -23.978009069833384, 27.909687243062614, -22.940476952376276, 15.735321405156803, -21.307879638490697, 11.322670311763094, -13.298445327605641, 27.92093095426276, -31.28658089775166, 23.15561123904307, -29.89746170047613, 18.274604362873085, -13.882596575786591, 9.203967165554332, -11.395610378584777, -3.3803249001260802, 0.5150634954882465, 10.267095683821678, 1.1270698713910665, -0.25537011618656447, 4.06555132370858, -3.894633155817909, 3.046664352063666, -4.073885918961246, 14.938339793087078, -5.4230219319001325, 7.887585154954394, -15.833199832538096, 16.96228463712528, -15.392735327850527, 8.64219322052545, -4.926399149587798, 13.218116210840845, -6.760363945125307, 7.941106503503905, 4.756970177422575, 8.808857710675227, -14.869540309324158, -3.976731363987877, 2.3482162995297204, 2.3749206355847035, 12.633028182414044, -13.654840013513164, -0.8841388330735214, -7.959968473505747, -2.7783584511781054, -4.4775787888225675, 5.987272721820327, 8.235881708090151, -4.35627792222072, -3.09650675712247, -7.411708101488083, 27.2692694586887, -26.104259039684123, 20.153311436460896, -5.534689058553997, 2.323129020267572, 4.9404217473660275, -18.612090129139137, 15.850079787071548, -3.1514713831882553, 0.5933329428706429, -9.064096900066518, 0.6575677039179535, 4.285420860124798, -20.05886041060127, 26.484118652547185, -21.02110828843059, 34.70116606259308, -7.358582527032208, -10.310331540979277, 12.471736416813647, -27.85688975919998, 30.85823788917663, -36.56539368839665, 22.48347632082799, 2.3826186243919842, 14.331428638266143, -3.4410812946707807, -19.86840231597748, 2.116392133237433, -6.642278199824334, 14.215666398934907, -1.163027422935631, 18.36315179824573, -9.1716580281074, 2.357970725672156, 14.770380971034111, -30.081167924156652, 16.292032135522852, -16.955389763347167, 11.91722685344817, -7.505514598048517, 4.012263502358504, 15.967231794587818, -9.933246696207732, -1.8615230865182975, -0.25548865370959795, -5.649127497558868, 6.113379567531954, 3.479322509713403, -4.939904084098631, 1.43495354827526, 1.1168074854698467, 6.771287568307102, 2.3247173619398707, 16.223831697932635, -1.9139177767879865, 15.504934144022734, -14.655873768078092, 20.058209308403953, -30.585797951902187, 25.859296170449618, -15.631711400688808, 3.373209332517993, -0.49560584841837363, -5.110028781119062, -7.607895702859744, 10.94201854958812, -8.43017295478715, -12.390940871170411, 14.265496740625952, -18.11921471768882, 13.713719557751972, -17.749287468190992, 16.47634905973287, -14.20856561943245, 8.872481937855794, -13.66482523585643, 9.314938676878693, 10.526429001447703, -24.66312150749198, 9.896291684536099, -10.121444502554347, 22.497125129513414, -40.551439400421955, 22.90975751841942, -20.73029607451612, 1.2464468820046033, -7.464211986926747, 11.283826613666054, -14.162316557604559, 11.304716760820579, -7.252064487708851, 1.3253153600106247, 4.56009588878538, -19.914787077983846, 17.7209104632563, -5.533695727812756, 11.818586058855239, -11.58660790119531, -10.91996543169104, 2.8444327187885277, 0.4614165519155984, 4.035659712397925, -3.0527607961741006, -20.75098594282171, 5.158693348367823, 3.830961682074328, -21.643032885233094, 14.791075589403906, -9.814915658634131, -2.260325131105809, 5.912013204190282, -4.107347115675503, 32.498867403429045, -22.634812089191968, 18.70254361081064, -14.097636684479221, 9.95386419055594, -12.090659711634785, 26.58097753056873, -26.306742472402384, 12.67461176440113, -19.02205941844301, 16.770989852554894, -27.20729856497867, -8.813129055182735, 20.314091941687256, -27.483751191507746, 17.086670714834078, -20.644440742969987, 16.302932067904216, 2.084777822276939, -4.755051718013057, 22.887446938192436, -26.61364105754535, 28.56308034751295, -31.14884269845517, 38.105749980302484, -30.592200642657268, 18.14822230106899, -8.714940637115358, 8.258286749577492, -30.52593283055803, 12.190710961233515, -6.969170387744148, 13.3866110700495, -16.213495530073065, 4.502613221128227, -10.349278173926528, 17.828947039606604, -14.468536233645995, -5.919837897625955, 3.0164497661448295, -6.53928329149366, -6.244834335395627, 11.469040721677576, -1.0627702910580688, -10.914033178085909, 2.3106038024808733, 3.580658921248079, -1.1991408555450036, -0.9834609148584674, 5.7135848311315085, -7.631115736984709, -15.74949906837687, 13.89456405786953, -1.5921094869392576, -19.954118335755194, 6.397472486004446, 0.09092599641966626, 3.263133292276852, 9.602498394889196, -12.606355698133644, 11.485532917615053, -8.358421789762087, 9.348959898743388, 4.80967885361425, 16.25248337964803, -26.479838310566585, 34.149562794766766, -32.76191258470196, 16.20909319572352, -9.905801228612333, 2.7768123295775426, -5.89264458862785, -8.698812525860891, 8.56840773983349, 8.716614771929066, 2.1956084320622606, -11.605865213416543, 20.719485227823796, -14.788745939835227, -8.050353623169714, 3.8463426565703207, -4.521509795973751, -11.639887967953287, 22.31748769161687, -10.348724034975302, 7.029549537293543, -5.311400650974158, -18.767887243304195, 12.250033133118558, 20.088130689772647, -27.558350532629845, 24.567421095162075, -12.360677492636981, 12.867437799795523, 1.4528599335523005, -2.230141175034428, 23.41036616483222, -20.694782729432617, 12.686181068747572, -4.736406197568623, -7.957470002063234, 21.964543444589935, -10.12452494642433, 25.6265783600194, -21.798138983396342, -2.471447227057741, 10.743704723632536, 9.92630108995784, -14.517264661238412, 11.835339830086516, -5.659640976361939, 0.019469520742652513, 5.145974171984486, -3.6643845737210037, -5.021927105127224, 2.2102203680998986, -7.550675721192459, 12.467936576035687, -8.666428023138954, 8.20210302156579, 5.551798164463546, -6.507822993445556, -3.00028107592236, 5.252689273043444, -11.516612787742524, 3.3865452851551368, -3.295552536896629, -4.327553553881991, 19.85456107022109, -24.74453144087969, 10.420893922905547, -12.86497959577318, 16.32296299068618, -2.3418626761787333, -7.914012273680114, 14.951855422606386, -34.221053271192, 39.170207855849824, -30.65618280684901, 10.720171242542346, -8.311909776681393, 3.1598825801946795, -4.107520374911701, 22.747597289894426, -24.144092206102734, -5.0188541696205995, 4.70193355268798, 11.129402873731596, -21.541020869645493, 21.908916651905773, -2.2703097576164684, -2.8058690134932744, 20.11280351651249, -14.268517307833063, -9.65840643188201, 21.451765330168, -14.521860639405531, -28.180789380894666, 30.055639241379456, -35.82139655507665, 44.53920364532412, -29.490829962846554, 34.7703417862941, -21.70758220341709, 17.15670399263013, -8.403517984370232, 27.654732642681346, -8.310718329434252, 20.37748635417799, -15.162603697112331, 27.17096939478715, -14.373346275226725, 3.613489568012585, 7.3643934063984595, -3.7506243138350666, 7.769450170319652, -3.3533973516705102, 3.1460831423729787, -16.629206666192466, 16.40781923554779, -11.541822729932107, 8.2377703649539, -8.417395227768212, 10.129629272683161, -18.026965242574725, 8.775593764831322, -2.5595272989750537, 10.295218791596074, -3.510147673227383, 6.929479995595964, 7.191250592699387, 1.4425883224724565, 6.11875315495462, -3.9279045050141184, -9.010741416646026, 17.655586074185855, -25.20723255120604, 11.01663382253015, -1.2287718470363878, 10.510423050695797, 0.04140690052408402, -5.740669069227882, 11.20549612859272, -15.882648623665322, 18.230089338163197, -8.187478182007895, 2.950163690341005, -8.797405194535758, 18.075803110810508, -27.49823285114008, 21.148561593922228, -21.19267573606004, 28.840926261617927, -31.90491567984104, 22.132117507413035, -16.863402616477778, -0.40556083357552275, -12.052365154993955, -14.397413115021697, 4.855156114678759, 14.053047071558698, -12.899615806038558, 5.79613909904255, -11.9439797473215, 3.745365940605099, 11.973205507305956, -21.296215576552875, 15.94318683656586, -12.176339542194839, 18.081163626160613, -19.20378075705607, 26.425473811560256, -14.19903775626535, 20.4730183788927, 12.873183754947895, 0.583488630028226, 9.845950119338715, -12.615858257080589, 16.03782339841942, -28.3833612418958, 19.091880772255372, -21.698529055603228, 32.505763453092015, -30.6926819096972, 29.115107053897596, -32.770726074565545, 16.330987823932958, -19.735297746532968, 13.631759038061215, 1.1044466164812459, -12.273179862318479, 19.553458777595928, -19.735099290627318, 1.7324619051354588, 6.209159948724416, 2.069109949492928, -10.61229618927533, 10.7866954639456, -9.757731399899363, 28.062698050082503, -10.70968745267125, 13.41628878553728, -3.369495298087336, -4.023046337147839, 15.711222854819434, -19.556497586767907, 16.760027704071625, -22.447584139413017, 11.91705272741485, -6.671766297735129, -3.4971589733076147, -14.366144336660604, 15.278786766187384, -16.888017728078733, 10.881389144707551, 27.76101339496315, 1.091536222518993, 9.29705285263915, -17.306647736487946, 26.92605725472604, -29.583787061261017, 38.285207080374484, -33.72930969354917, 21.332018005432314, -23.35671949474395, 17.617428801505728, -8.54134546210858, -1.5897554614195961, -2.700658539092652, 0.44263759206541464, 3.219144571378542, -1.964520417355186, 9.143718260442604, -10.931147344118958, -14.775289772097357, 6.659982069147225, -7.4004611999414225, -9.16166781111908, 2.065921484775517, -13.200497958953552, 15.471697706462617, -23.424639659513026, 12.030750229994194, -17.17794874398576, 29.206508569365184, -21.27672077525197, 17.50672031395941, -40.04629200429462, 48.44073399743472, -15.959699325085857, 2.373144892211773, -3.24097823840018, -12.639249624743968, 3.1743587777054065, -10.382070533299906, 11.590118022655032, -22.313821021661134, 9.363866167165058, -2.626949164548278, 6.259359785556675, 6.950182204599381, -15.143534399642988, 7.200711564762503, -8.721756658094378, 12.355415104686095, -20.30732247195403, 17.307000739667963, -21.40187910586208, 12.121688869604242, -18.615350687411322, -4.288617636913646, 1.9601151817276876, -0.24700662013807873, -0.23898041566574432, 17.877052554354574, -3.2158515065837054, 7.780057268951263, -12.278691825620191, 11.833495528637219, 1.7543043305253185, -7.505811004680178, 4.041484453430107, -1.9160564796474717, 11.386371878948655, -9.066458046182937, 11.729961671268256, -24.51493102124635, 21.054454593206383, -14.091699084288322, 9.025833668728083, -1.0253252194025189, -8.377005974148634, 10.157005425661618, -7.817312264184356, 15.045219380984452, -13.940182872939426, 12.902264567724117, -4.865289655001711, -5.055877003216445, 1.3360653278341572, 25.61121618392052, -12.41222507120456, 24.261271944903157, -16.997169287290742, 23.433203929882527, -11.057954325988424, 3.0385966926381656, -0.24080954592229364, 4.374744713631403, 10.354086534346983, -0.69784563592669, -6.5095800637934405, -3.6817994772381617, 9.778177422678182, -22.65707863121647, 24.894394963676707, -13.83892282674857, 20.788514155873997, -27.856091487592728, 31.800920316082475, -36.122020314436014, 27.972724896955718, -19.471483252161086, 10.818498572529965, -2.5768521409992946, 0.02610877319894689, -5.344071650162725, 4.478463184697033, -10.931853186073987, 4.849107300143206, -10.529924766624317, 15.01251574797556, -9.526902367557891, 14.792218597427013, -3.073728814160029, 4.800305412644615, -1.1515626788667164, -2.9085980982009803, 8.476294930301306, -5.969192288569135, 1.592696034892036, 1.025410844150029, -20.176550139907413, 20.008562545203876, -15.841879277184923, 4.103716088369417, -7.933144319530616, 17.478454122333147, 2.2733117972933456, -21.88536208861827, 10.90068316862911, -27.393671190319058, 14.871011435039131, -26.472709264800912, 21.896604578779794, -13.906032007942507, 17.785897862101066, -20.122534250182444, 12.521694099810356, 5.470319628107264, -5.214762001081644, 21.348318984207335, -18.517764285651715, 0.807971273984025, -2.007708039200206, -1.9433875876019358, 0.769431675921147, 0.2916728566137635, -1.2916168815582443, -9.915935772534919, -6.8916936031356135, -8.42150738288181, -12.941022363808283, 13.30278570631043, 8.071921936326024, -6.125462292639958, 2.552426530027407, -11.572041713473753, -2.992890797875562, -7.653737484361221, -3.7243163175567533, -5.546925367888393, -4.927027249442226, -2.3282055497128553, -1.4477007473899193, -15.525361779941596, 30.210067270823828, -27.81555076019686, 28.68620505210428, -10.587334977281667, 18.12011390515775, -10.124191141681488, 14.127433199748062, -9.04183267124085, 0.33548184327791564, 30.04701881276051, -10.191040848306988, 9.502883849004055, -12.590150670308093, 16.541408673579127, -21.56432842941844, 5.338722501308782, 0.1765034851726286, -0.6155045584924607, -7.614690836030725, 24.827032953546173, -17.535352204465262, 22.842373636247686, 1.1032633027515857, -3.2577421781163305, 15.031151540636152, -4.949456845098325, -3.23692503080877, 1.7584410954008918, 3.1427204528353583, 1.4406456738793785, -1.478295293326516, 10.663824981531588, -26.03981961761322, 33.12207325722183, -18.042104834516415, 21.70564294367817, -26.40563599161745, 21.712459549082435, -23.190695900202577, 5.1930461876503, 6.301843501719033, 2.7467844575030664, 1.9569068387136923, -9.848992723831007, 1.0038192430152009, 8.498346375183383, -5.468741172550924, 26.68880294216868, -29.408749243743877, 29.485870837111193, -29.445632180495856, 10.878105785683498, -16.80299912121565, 14.852706762004438, -6.476829575326703, 4.923050848381559, -14.92605037023587, 24.081527858793308, -12.652325871636629, 2.204507717550766, 11.494025823589608, -17.02843085672456, 16.098155140896612, -18.557802459746632, 36.06982959880289, -56.79295066379365, 40.394154379607805, -35.40623183447828, 23.29549078053506, -12.419394759783101, 18.40792598427739, -20.496825497507615, 20.19226544861638, -28.625518847600667, 25.724031553866116, -34.109201589451516, 17.212907591197226, -10.924955212018556, 2.474592297324259, 8.110766006760121, -30.884453206591132, 19.723147582870396, -20.832140717187073, 25.723191110807385, -21.386140502015696, 17.13709151449444, -25.05481736036856, 7.9438031107369635, -2.280846525942578, 9.773022236607561, -19.37187476164686, 1.2054933960480554, 2.1501299104808087, -10.530633765904758, 23.963212033836612, -21.421359073838698, 17.63933185124595, -24.211937550580572, 25.122485716165905, -15.241150965010108, -3.9458401816589017, 7.449938923429572, -17.381456170631758, 6.453552772085197, -14.011209021721605, 21.98681853430585, -16.665736364410463, 38.84339714051464, -30.29943463837959, 22.961542189376058, -20.121141031803575, 15.355719641530516, -4.616538819643955, 2.499657870663204, -4.179432740534863, -0.21871715922013069, 4.54072207988774, -2.070589669858755, 12.946128260322315, -10.230598996061483, 2.6663361280243123, -4.852705110362206, -1.307702108348527, -0.7162921016165864, -6.791267062337854, 18.61715297143111, -7.588331972307543, 2.5210120227933612, -1.8268525720913384, -25.220045964565053, 16.86343785886242, 1.8727608593464922, -18.475261371935996, 6.406132211980008, -2.8696206004182927, -6.736642064025096, -0.6598448643617916, 4.608914077509455, 4.171934110951746, -1.0748619559396397, 5.3331789260050755, 12.489478452455224, -2.0577709026545836, -4.199455707601148, 17.011478660974156, -14.988693503339396, 9.02647891417654, -14.720237397639199, 30.06100076954382, -23.178439898765205, 13.30207605218638, -13.83642331583313, -0.36229137328634664, 11.771431991791037, -0.598208285857039, 10.09052297891261, -3.693395680801249, 16.13055797260761, -12.09757643459253, 4.6141767176471475, 5.272449067430562, -1.1739969340871963, 12.681331522797713, -16.323521612803862, 11.761619883427269, -7.24716111869968, 6.519097069680141, -0.2498463960297812, 14.409246929430013, -24.126863514172086, 26.070964637569276, -30.389741122315456, 22.62419472740958, -19.72263680188591, 7.016309661607535, -17.135431779893192, 22.539521415034322, -35.50821145314727, 22.304560573813944, -36.54155046874852, 25.63467150891886, -30.142846281138706, 1.7349242128584983, -14.633485016525537, 18.148472152870077, -16.28291656665764, 16.226569557062202, -16.03403062382457, 28.105730013707493, -10.029386522113832, 21.017005048656856, 1.430335232424273, 18.327760822081448, -3.99571808232413, -2.6031767019728917, 10.757646909619057, -10.262535025530891, 19.820550392593802, -28.133227046038897, 20.65511602199853, -10.524452718598532, 6.489062712494844, -9.114034463603875, 15.17291582927085, -23.987163852649438, 26.52844011254403, -12.526093706010464, -1.5735212203785967, -7.040389831111173, -9.652583101645893, 6.870210069983002, -10.559808896180048, 11.573081167157122, -12.101653804361447, 19.961854124024647, -12.004937291084072, 15.157394178747676, 1.06523349809774, 2.363264477374897, -15.658280814033656, 23.474579324887493, -13.980489156695498, -1.7791787451751642, 6.94046104929581, 2.3198141796317664, 1.1659017304828587, -3.9119552158804645, -7.102418411520658, 9.160563454693161, -12.861573038852718, -1.9980850526715948, 12.649617145275194, -24.72741156296848, 21.853163589035177, -15.447598886625698, 23.699507290892967, -22.510288061006314, 12.249187242125657, -3.120966870370042, 15.597196745511855, 10.007148107049405, -5.600311474809487, -5.130440434046777, 3.016621703922463, -7.838221976107352, 9.69162536954023, -6.483403817682088, 14.882987812146904, -4.0740390722051565, 1.7505020754514158, 7.901023242353664, -1.6373129214881983, -4.651123694368832, 21.565859285595998, -17.175899514455445, 27.15288941178303, -10.221405574163903, 18.88196172132201, -14.05647715492031, 17.03294471514132, -11.98204489440752, 21.00571648088058, -11.438972476951344, 5.117003610483109, 4.782134989486901, -12.291075076594788, -0.9118957258624025, -0.30152776327485087, -21.43085506447602, 26.658358216188475, -11.435370214971478, 0.660498906386513, -2.966844459630709, -4.857953443084792, 2.547834017632823, -22.094445231262878, 12.097808317196199, -5.468483338192216, 7.214032191804933, -2.3984954144153745, -0.12526869571451504, 10.57316386517701, 12.51068317470067, -7.3153117534401755, -4.086019910977863, -3.468186956224384, -20.990236398070564, 10.098301104162843, -21.162384249641534, 8.191259220782177, -1.6289659727108532, -6.0782962337748545, 1.2590580218533445, -8.896174199148742, -6.448978487713488, 6.843045860583437, -0.6437187436629168, -4.17140379185417, -8.68391786988677, 20.77634474088815, 7.858519348280144, -12.787628421758889, 18.643087586847564, -19.256279486384393, 24.70975476571615, -15.623852976315357, 18.170746884792635, -3.7828414835863278, -10.998444751989373, 16.68224283634778, -21.453911982993954, 34.559996426975836, -39.27493142502716, 25.03611280115379, -28.720253951076725, 43.65790195246296, -27.44725610405949, 36.678086103713156, -29.0065103052419, 22.31547475363029, -11.047400275036416, 17.78923743578351, -27.917933357385767, 13.39958334127201, -9.021706879691743, 12.544916878260832, -22.153727311742742, 25.793595432615664, -35.914726078506646, 15.440344489449627, -25.319755958226313, 32.70197997280359, -22.468474510157616, 6.553071829670063, -10.137492341941233, 11.998628747372598, -6.915072777793799, 6.425547158821249, 4.947053085754144, -3.2008672546110155, 16.039232221631956, -10.930105090621446, -2.14229756982426, -2.3757688266004715, -14.131017124177195, -2.287162888082321, 4.701547154447054, -0.5943174730501473, 12.109059560857444, -0.38865359209451533, 1.7839740483872724, -28.932033197177375, 27.558999885623358, -21.001576064000595, 22.616296972006324, -24.92196072546862, 14.056933769235236, -3.453279714732524, 7.095450675299771, 0.13684768115553325, -10.724063214440736, 5.487983518184864 ]
The given time series has multiple trends followed by each other, what is the correct ordering of the trend components?
[ "Exponential -> Linear -> Log", "Linear -> Exponential -> Log", "Linear -> Exponential", "Log" ]
Exponential -> Linear -> Log
multiple_choice
null
null
9
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
Identify the different components first, and then check the assignment of each component.
Pattern Recognition
Trend Recognition
472
[ 0.9716367400360513, 1.0989311031553108, 1.147057708835214, 1.1797014812333113, 0.9066901741537217, 1.0105924308945675, 0.8770056447023111, 1.1884667980882573, 1.0542379996892444, 0.8392547643675996, 1.2027338318997065, 1.1850716845552118, 1.0045670014537669, 1.094024636653331, 1.185312277759148, 1.2400856828430618, 1.0792313688621997, 1.2512116000398599, 1.1362543952574446, 1.210326630393965, 1.2106655637973187, 1.007092170080065, 1.1275120361652156, 1.0871077909196563, 1.137546258865748, 1.26003895876419, 1.1611094420528612, 1.282075869325744, 1.1487789237547033, 1.2371496344573298, 1.4287147683928343, 1.2094403047908084, 1.3793426474332193, 1.1660215050601048, 1.4067655830279011, 1.246142845366423, 1.274131195463599, 1.4607149753536393, 1.128357707479612, 1.3607362229897806, 1.4844689546097392, 1.2190322819463297, 1.397928914729522, 1.302711403868125, 1.3676649995781995, 1.459198070160564, 1.5094880195681575, 1.5202733330613263, 1.604700095047415, 1.4736650354347607, 1.4485795764602236, 1.562957731924631, 1.6445268568881166, 1.4771940573903937, 1.587986281294153, 1.6178315599235384, 1.5895764809070925, 1.6353941618259238, 1.6822456486860384, 1.6505317853515422, 1.6378164489076128, 1.6406952395726586, 1.7692875988985166, 1.7170179249240036, 1.8075346608313667, 1.7202589420058334, 1.7875330913223593, 1.792208321918864, 1.693300619551021, 1.5228038319053552, 1.6163741964357434, 1.8791130596224381, 1.8658296689635179, 1.8254487501207939, 1.8649486373218123, 1.7889375369481297, 1.7982055985859453, 1.8578332365140346, 1.982254421037977, 2.0216058013451876, 1.9662703372905115, 1.9593987657938217, 1.960269295533126, 1.9426904360078283, 1.8004971411747435, 2.1019704492938724, 2.100967795742316, 2.077826008585757, 2.127372208321042, 2.258647729448433, 2.0484769606056026, 2.1481579838731255, 2.0104112419430464, 2.32611180175542, 2.177888288627734, 1.986689995634512, 2.168828283778919, 2.3540796210088053, 2.3153575944333404, 2.426700836254805, 2.2690094946541457, 2.3817695729723907, 2.355275586426701, 2.3720467978203317, 2.2587730419336416, 2.0693668053663843, 2.389984031562355, 2.2058370484908267, 2.495373306441165, 2.413569273681134, 2.3921659753100877, 2.409993150802844, 2.524802792031591, 2.633609440111036, 2.5292840563242645, 2.5043499803761993, 2.527075499166375, 2.78492559399455, 2.6399424895592807, 2.3928305650073596, 2.6493200627797604, 2.567407062293694, 2.671517004327278, 2.6381296307092383, 2.9693664920061447, 2.8335388452869794, 2.931547297769928, 3.0374202511308734, 2.9009980167538933, 3.150712439342751, 2.766391821544354, 3.0847135266734567, 2.987814476348619, 3.0797402074308677, 3.003085573794292, 3.107837026928801, 3.1100258737553346, 3.0832935469358844, 3.132904617067092, 3.320077758604078, 3.097487567485863, 3.350766726697866, 3.1482403553218195, 3.3163865671081, 3.271154932446155, 3.3666314092290937, 3.361465354364888, 3.410760238238096, 3.4501125185750627, 3.433739716240272, 3.567704534184508, 3.52355907301406, 3.6752654376251415, 3.5067129815355305, 3.4846742526815278, 3.633587033280699, 3.4742557434758266, 3.7562468192399865, 3.64218598367087, 3.799667408165585, 3.7749555415435783, 3.765252758617183, 3.833164948002098, 3.689001036234512, 3.8229101163677255, 3.97604194147578, 3.795177542536301, 4.019446312947163, 4.079688451266379, 3.961817189471396, 4.192587661098148, 4.1744593483722365, 4.2651874291182255, 4.1980356447832685, 4.154509652451054, 4.347402525019817, 4.266665002021802, 4.394687508778159, 4.291249479522138, 4.317797321420438, 4.3341704177956535, 4.586413647520751, 4.54701040954371, 4.370630706341477, 4.525170949282571, 4.616256145246997, 4.783328297788333, 4.641839443741827, 4.814715856992965, 4.917514805023818, 4.663222553903309, 4.833217949727798, 4.802003457279117, 5.052872450802302, 5.004939412737493, 4.945035520001373, 4.932451402359949, 5.0091397084944935, 5.018941950053501, 5.100055623124213, 5.13625029350514, 5.295602504022156, 5.205757745991929, 5.379257796096817, 5.30499915352857, 5.299560310250887, 5.437080920667941, 5.4443613242903774, 5.437586634356174, 5.537325869554923, 5.803264556297781, 5.650600782654878, 5.767975335280101, 5.718185888996503, 5.912463583585593, 5.750972272690222, 6.045910716823929, 6.071731718508854, 6.0179454531828975, 6.241007299462609, 6.210105936736191, 6.415651385353259, 6.309207496988224, 6.173946467747323, 6.271273478048414, 6.47976774759397, 6.291791647799266, 6.487610700366307, 6.248373124290819, 6.695946685700823, 6.645532114211817, 6.668661019663302, 6.759161838242822, 6.752164303102526, 6.770070129902338, 6.941221204715186, 6.95264796802915, 6.952888387138353, 7.300561810263379, 7.15937831169817, 7.185747172454052, 7.284342605655206, 7.3392056742552985, 7.388509925706392, 7.328340116564636, 7.6651039071050615, 7.512793668094685, 7.81621467387464, 7.603675124230263, 7.877094759690287, 7.953118388435313, 7.921948139907679, 7.801717435930068, 8.056791291695902, 8.243455115221554, 8.041988098508293, 8.208984910403267, 8.222761363996892, 8.43771817105389, 8.617545350155158, 8.523197977550215, 8.521032876670214, 8.854289231115079, 8.759883830409686, 8.80637967861544, 8.861606567795928, 8.844844235259131, 9.099059857627386, 9.195207973718718, 9.153496925416887, 9.325881249486008, 9.121195477139455, 9.38332455315847, 9.425662104292437, 9.585328155535707, 9.534132640277875, 9.555750978585275, 9.776746869423537, 9.878860675950161, 10.088990812060612, 10.104479278332219, 10.205131886145713, 10.025891905904102, 10.411543683422897, 10.485646613848338, 10.52258982959518, 10.294835635701329, 10.658414279295634, 10.676796432229075, 10.788338531154322, 10.837748900470945, 11.040431666121513, 10.976391379619889, 11.19826439499255, 11.410112094781377, 11.320461629679706, 11.427060645186723, 11.436839648734795, 11.73931687518183, 11.661145347135578, 11.785232312069924, 12.025157941242906, 12.092476220121954, 11.982725324856085, 12.30358530683225, 12.324724990941107, 12.4424982049023, 12.701903679238278, 12.745604936181426, 12.886599305983767, 12.774319629293622, 13.124447959042804, 13.005414390348356, 13.120761089013817, 13.292304543607553, 13.466377026319979, 13.64848623035032, 13.629986108141905, 13.922597769011384, 14.068155398595952, 13.858576891282274, 14.227013028869731, 14.221178508337049, 14.428061076030778, 14.337785699586426, 14.687706619216588, 14.630547665136083, 14.917111961117383, 14.924365778788195, 15.03956887060169, 15.176825059338826, 15.377324528803266, 15.429048063461792, 15.617115592956281, 15.686304464937237, 15.6940926048708, 15.97861868125438, 16.119971740961464, 16.069682452686024, 16.312984091973135, 16.551777197483858, 16.49411011641102, 16.533502669439073, 16.46236594284136, 16.44819025197734, 16.558622241691744, 16.23369520417513, 16.597697420045602, 16.66299068014385, 16.64241775598554, 16.582989125010062, 16.704611248830613, 16.713975261614305, 16.466653796032467, 16.588327600229544, 16.648395656947123, 16.667251499217006, 16.714926088071536, 16.72397744472291, 16.699971051527296, 16.759036285386202, 16.688347888506808, 16.855796144741728, 16.913140139861735, 16.866610895861417, 16.82390951687172, 16.798501949524667, 16.769511135015733, 16.852199309596557, 16.82202060718493, 16.91651489453357, 16.775204056736285, 16.94232780026438, 16.88059955564601, 16.910780914506432, 16.839339875136734, 16.87026251446654, 16.96679793408333, 17.03943350916717, 16.720767097083193, 16.918293238609483, 16.78835912228446, 16.91560168767684, 17.033454839590565, 17.03859203064559, 17.117205323336623, 17.0102590417493, 16.829458347320926, 17.028101693468418, 17.136263747525096, 17.13437520464451, 17.116657372330355, 17.02803944048553, 17.198292611281435, 17.091421517450893, 16.95444802030537, 17.04577211196657, 17.15154352118465, 17.01344455112164, 17.078431120515848, 17.05368928403295, 17.19364409317232, 17.101950988778746, 17.242693895521576, 17.19392079479584, 16.992218620529854, 17.208133712343457, 17.12967210474848, 17.29139260184965, 17.201269641813887, 17.35366208919567, 17.394459461981043, 17.209615414460078, 17.388641235815257, 17.217898988261986, 17.304836771681085, 17.30578083354685, 17.286656376182425, 17.3845459920683, 17.479601817480187, 17.417191163152435, 17.374472399493893, 17.258217996874745, 17.15359031461774, 17.384424555214103, 17.262930554517922, 17.325520281847073, 17.4724269164935, 17.350056938057183, 17.4043156785648, 17.508186362063203, 17.520584562446405, 17.467600726456556, 17.364032412996966, 17.486929062635266, 17.553631099097398, 17.553921470507202, 17.665062913672095, 17.521738843752143, 17.447672029474887, 17.564248473969034, 17.570347817008987, 17.629991738717386, 17.7637373468431, 17.53144417258292, 17.685949702748815, 17.705480810411345, 17.652658934083902, 17.69231601604941, 17.693029013159613, 17.71227695755045, 17.93152138325326, 17.782933006181956, 17.645341423526837, 17.76152630377618, 18.018217794346143, 17.759252552817912, 17.47623881019428, 17.727970160220377, 17.788801202964045, 17.803559653080786, 17.98499007172538, 17.891394493088686, 17.801977256528062, 17.90764644702299, 17.851236999482445, 17.864386887470534, 18.04216618797448, 18.0773439194601, 17.976969391108977, 17.87326983692657, 18.11121848119464, 18.002637186220486, 17.987934123733247, 17.910255264405617, 17.975366553113012, 18.23046149075481, 17.82130388673755, 18.30678073750485, 18.20315806430577, 18.19404017531607, 18.099833713904403, 18.022067181031396, 18.029905862106876, 17.963588238600693, 18.074216453619645, 18.093520396655403, 18.175602625337337, 18.00782060204106, 18.05075523569267, 18.032405196424, 18.20458031785595, 18.2488483139684, 18.32480076541349, 18.12242209301462, 18.192760740640466, 18.13349847240611, 18.152382989737454, 18.29611169354191, 18.527645634751288, 18.218983379655114, 18.115644905315932, 18.48802453834492, 18.138329308317886, 18.282435388397445, 18.33242528506274, 18.437767460083368, 18.48948843852636, 18.33726310014454, 18.565490341185104, 18.362558047854787, 18.262873499651032, 18.400606889088753, 18.39215282673374, 18.38352588135309, 18.53773050477329, 18.29940090566502, 18.522158034200515, 18.48110201951847, 18.374657454452482, 18.512736283987312, 18.660923271770038, 18.58251405187136, 18.47382266681039, 18.626757321502435, 18.423944886193215, 18.61086576542244, 18.74134483805369, 18.46147993255515, 18.69759011496989, 18.504917375779442, 18.61675327232461, 18.479111227106053, 18.759471203529678, 18.542210237692643, 18.640060166384114, 18.802646977473955, 18.743574194808996, 18.79155701321466, 18.813907828150302, 18.763029436507978, 18.927615526347672, 18.801058156032347, 18.741054184041037, 18.737553456214076, 18.746507652477945, 18.783958299013182, 18.895013422742366, 18.679059641629205, 18.632762471008373, 18.65441670037435, 18.753578468918455, 18.86130411256416, 19.00683786399193, 18.881247935174866, 18.91803191052725, 18.959835914656175, 18.988170713176032, 19.058324312185366, 18.89105529434771, 18.907853805191554, 18.912592074351583, 19.118657537886627, 19.064978356087234, 19.007558368474143, 19.22678479354826, 18.981447538919966, 18.929826603561846, 18.901605282738647, 19.101500785839185, 18.9333758079025, 19.13776418880423, 19.054148075444534, 19.028127599327597, 19.188214526235168, 19.056389177585796, 19.054328645306544, 19.136621015819927, 19.09210860515858, 19.241805091734168, 19.314693590977193, 19.415749952762173, 19.151756032478353, 19.14241232938285, 19.076952542687597, 19.2677688120515, 19.366720107892963, 19.124938442149418, 19.116821309423266, 19.56351090532692, 19.15541274996533, 19.226875129475964, 19.08234876794657, 19.046331439546787, 19.309823942163906, 19.471745857714748, 19.35205420357042, 19.15311060964357, 19.369297594065774, 19.218859589585616, 19.293573453181043, 19.417903431736832, 19.405361666196278, 19.456158510943073, 19.548689963913976, 19.45030776665055, 19.388691970409923, 19.53386762159341, 19.32026771638841, 19.505064365141585, 19.640326445634624, 19.452859294484075, 19.473070552387572, 19.73047304410134, 19.57897055874526, 19.577733056441758, 19.60601095260129, 19.496583037966364, 19.716319190625708, 19.768196552081335, 19.595327943153812, 19.675880329298266, 19.742745042852317, 19.758756105070958, 19.783629711823437, 19.532397466058303, 19.75916944796901, 19.85587528023859, 19.772766424703118, 19.879530870384244, 19.735830358308753, 19.78591309061694, 19.755472632563468, 19.823896276503195, 19.860981983962763, 19.67440464103188, 19.811497834861193, 19.81809273926443, 19.772189558241735, 19.869874811336135, 19.76136390596866, 19.771901946838025, 19.807368694443333, 19.75878499177767, 19.82298141583344, 20.087273475304276, 19.8055241442016, 19.83767039402853, 19.95220983491538, 19.84540173677454, 19.871556679164872, 19.851733575234753, 19.98578679528764, 19.97220229612581, 20.051653630578414, 20.038691416730234, 20.14534484812985, 19.98736917500175, 19.935012945069232, 19.977989502193914, 20.255113466344902, 19.885890118255016, 20.208163045776327, 20.21871641030235, 20.146043861542367, 20.039715491163907, 20.194521589236892, 20.070787674573324, 20.115788607878063, 20.198290674990478, 20.136656227738776, 20.0884921077915, 20.190117294740784, 20.270851089257253, 20.34659861830891, 20.30984180693237, 20.409548769053707, 20.290851278485636, 20.258900844969, 20.466326217288728, 20.261830522306138, 20.39848828044614, 20.436658023223913, 20.150424705645406, 20.459503671862368, 20.409990194168888, 20.464999598842958, 20.554514028119748, 20.51164106239427, 20.825550652360732, 20.765653989108156, 20.947631944934187, 20.912661437180567, 20.92189104260691, 20.88173337044121, 20.970231227247616, 21.08568777332063, 21.05264110024387, 21.05657963388989, 21.150118515547042, 21.300974167253766, 21.231963803117686, 21.35361069028762, 21.059053851693, 21.317356658407796, 21.32103516607959, 21.268730307932067, 21.405357913341764, 21.495108804685604, 21.448090810202338, 21.3396109951031, 21.53438482640987, 21.627553731099304, 21.550027129134534, 21.551282186391365, 21.51143733687974, 21.63893051105296, 21.58548017076012, 22.014141977867915, 21.77590917217993, 21.708473666214026, 21.749688312625423, 21.7072571772042, 21.786530539761575, 21.81775867813417, 21.69722775675161, 21.769193376189904, 21.84348406525308, 21.870125337098912, 21.819495736597364, 21.821502937320183, 21.936363705075607, 21.949696683659553, 21.865584590121212, 21.717336685630638, 21.999583941642435, 22.04340809387866, 22.0312395806927, 22.160720204767117, 22.080950421433187, 22.04011614363822, 21.936598799158283, 22.03475264914297, 22.03477491736958, 22.09210464214288, 21.956982690065, 22.150960627175643, 22.048369256714142, 22.154005139051307, 22.084561481061133, 22.13277517722519, 22.067327736453016, 22.085324803496043, 22.23200659585337, 22.28673096686478, 22.20043284360932, 22.342238351974565, 22.330158575756478, 22.26388642761938, 22.152297742933037, 22.287128870268116, 22.30829956956028, 22.33747474265213, 22.25902039041958, 22.23427322767781, 22.15155775469567, 22.337823223806488, 22.327052923494534, 22.4678997317053, 22.258200778605232, 22.363121126895116, 22.26758146553044, 22.549565926723567, 22.359949200695024, 22.267679620583333, 22.420120970707647, 22.44250461504894, 22.369935513810745, 22.440844158453867, 22.350386168582325, 22.40549813427072, 22.41432553071459, 22.748031873385372, 22.599523338448105, 22.496619419001266, 22.488546377711394, 22.63579066710276, 22.63832222183581, 22.49628190506976, 22.7726722456596, 22.512949555213332, 22.52834277984254, 22.620201039535182, 22.585750899077826, 22.528108206687524, 22.559254931580742, 22.534003696251734, 22.61112646059667, 22.594713437727837, 22.66424942098401, 22.65292994134555, 22.546945959605328, 22.59367833868533, 22.759609855619754, 22.646299798851945, 22.563598166899993, 22.644878474536938, 22.678417027340256, 22.90268352547575, 22.655936313935797, 22.667541511838124, 22.729387516626584, 22.780763828121493, 22.92046223921595, 22.704284944885778, 22.715627583147082, 22.623937618615596, 22.622427018559883, 22.75883960465736, 22.67431971787449, 22.6143490218139, 22.701836934618882, 22.659549748681382, 22.782439303400782, 22.668920572404257, 22.763389001384173, 22.85545064589389, 22.792615918734125, 22.811975348398725, 22.709006813641636, 22.895198744277483, 22.863296991625276, 22.833235941065876, 22.872470413602947, 22.8414355405979, 22.90693854723915, 22.94117679926598, 22.837521517653542, 22.836051690747666, 22.831054072150476, 22.823002342340708, 22.810512177389374, 22.90017999662388, 22.879280456595097, 22.912215205000795, 22.963462259001194, 22.957613442192404, 23.063335863313455, 22.9435426941028, 22.920816965590696, 22.958166679383986, 23.020585748871806, 23.165009550763955, 23.000273442737853, 22.99060898189618, 23.082618554471562, 22.936227240487842, 22.97891760038049, 23.024242093318378, 22.91906074590746, 22.868537178531117, 23.071279524338728, 22.91674680590603, 23.11707563219007, 22.988037191664525, 23.01365574015874, 22.85793284009595, 23.08220138451767, 23.094880004801357, 23.102769973634103, 23.134849547437767, 22.88405189316756, 22.939374833864314, 22.93778697338829, 23.03479520081905, 22.99186277187062, 23.118796559972917, 23.0874362900229, 23.13804672839363, 23.14953608993962, 22.90326561274566, 23.194333965555387, 23.073733336341828, 23.210492110628167, 22.971533714874663, 23.185015333134903, 23.139969030500463, 23.290078814698028, 23.157196381148495, 23.238110891562734, 22.983323636539605, 23.155998045944347, 23.080706509423155, 23.128285534281442, 23.159083949160106, 23.09475046495343, 23.23858877103387, 23.27130284295308, 23.08865144604622, 23.21364629316066, 23.00755373755295, 23.2942723265038, 23.21060333977975, 23.19754665822179, 23.375506572744605, 23.24700358489269, 23.495623759308007, 23.115135657361943, 23.129859779925702, 23.315438602345925, 23.210936235949536, 23.354654875223975, 23.144986685821376, 23.36921691666314, 23.24679873700804, 23.260255189366593, 23.136747268777803, 23.382147155560933, 23.31553953031941, 23.33243185338106, 23.139086160296383, 23.26001447874376, 23.28066245640295, 23.158064121310172, 23.363826398190977, 23.390408033477716, 23.156188940514824, 23.301860092019314, 23.39633678893884, 23.48567602630076, 23.398864178040917, 23.21996790823844, 23.23232018101684, 23.355662930317298, 23.402908935997903, 23.335323303855343, 23.293120767777594, 23.42339306874755, 23.45278826645776, 23.319354050609455, 23.354270796593575, 23.424225617589695, 23.3232029257169, 23.455786233187887, 23.323902906685518, 23.472100605911876, 23.307880178862295, 23.614009977390996, 23.37785106513254, 23.45129202192072, 23.519927459421964, 23.38664061892865, 23.432264275782888, 23.413781491426096, 23.620289768257493, 23.579527847569224, 23.34544736481134, 23.315274362599887, 23.476259451429442, 23.438444323328095, 23.590142869280626, 23.4736735097465, 23.437326092249354, 23.34488707265259, 23.394099063538924, 23.3762478766474, 23.411982107839282, 23.415384148921802, 23.417219188850595, 23.460703432686845, 23.518443328688097, 23.563222542149312, 23.546084328474116, 23.328446637991238, 23.35118771849639, 23.441772396721284, 23.368706926988718, 23.526874122069344, 23.483726139085462, 23.501939991153147, 23.621698213125736, 23.46175611388081, 23.38727598837442, 23.48258340538688, 23.293465929534953, 23.493192400522283, 23.264122709759732, 23.518405552981967, 23.629937511209892, 23.57529828955828, 23.555862667948183, 23.5784076239937, 23.45704229362332, 23.328289000855364, 23.41422692065663, 23.600609912073708, 23.640970794488748, 23.678336207469805, 23.419200645901455, 23.672317948277183, 23.427095736139684, 23.59998632615701, 23.618443553335567, 23.49604457816716, 23.64722983083876, 23.350581228352034, 23.47291865805118, 23.497266886841974, 23.64424336930724, 23.643972739354844, 23.606061494816565, 23.60786096293426, 23.717655271971925, 23.55612388510913, 23.55134776613345, 23.583312321292755, 23.50264205033033, 23.666493656948735, 23.48410207039706, 23.592299538675274, 23.703933099976126, 23.590124872787406, 23.513949136289348, 23.655096538072794 ]
How does the noise in the given time series influence the detection of periodic pattern in the time series?
[ "No influence, Sinewave", "Distort the pattern" ]
Distort the pattern
binary
null
null
58
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Sine Wave", "Additive Composition" ]
When the noise level is high, it can distort the pattern in the time series. Can you check if you can still detect the cyclic pattern in the time series?
Noise Understanding
Signal to Noise Ratio Understanding
473
[ -3.375488764114043, 2.6057862885265313, -4.416694183042713, -4.994128580931858, 4.693857790828299, 4.64051588768963, 3.6893876145609497, -0.796325886583729, 3.9125461766225005, 0.9650078508162321, 3.521498581616064, 2.8424004328670405, 0.266602593800093, -2.8812006899602003, -1.455712646038082, -0.7024988478877808, -6.52739798256894, 5.0178307028363065, 1.6694970107895635, -0.6023565612851434, -0.811954286861168, -2.636233374215562, 1.264099633170122, 3.1970223532402855, -3.037640988263535, -2.350441514599572, 1.0694249437180463, -0.3882939806269083, 1.9769639860142576, -4.153282458066471, 1.3670186829297, 3.9474540025499567, 4.214659983086415, 1.2867647059730343, 0.4031809862835656, 2.792916873887865, 5.00643581217728, -2.16200685186341, -0.249823236710095, 1.1438792191538756, -6.641379816871518, 3.085698724031222, 7.9160038866164575, 1.1741359741805595, -1.8205768483308598, 0.4391563063130639, 1.6223004043808371, 0.3191292496370073, 2.182760673199117, -0.992789747406946, -0.5460572778556831, -2.9753583663425562, -7.628996875536629, -1.1119440941911234, 1.1326895611201198, 0.12813050006593008, -1.3906353483424807, -1.6544018297715593, 1.4535553258695137, 1.6820745219674276, 3.8306216045421744, 0.9851104806639801, 4.149949620515039, 2.693939682535879, 8.178042813503478, 1.4998757591002276, -3.702206850663204, 0.8674994637506674, 4.029916198706775, -4.315313936877779, -0.8089199541688741, -1.1036546076734597, 4.258094708082837, -2.766504843935302, -6.0697479360695965, -6.257824881559893, 1.0745500073072636, 5.88673587245554, -7.227235784546874, 1.0646385361634356, -8.625199280129024, -6.642959833968138, -6.931854211650887, 2.086764915096344, -3.027131775131994, 4.089892222072215, 3.8142393856058407, 1.44994295282688, 4.318010928616001, 2.944828058871746, 6.85562331830265, 0.7747182097867602, 0.6614031244887912, -4.324477062630812, 5.2401277268531254, -1.1623811425338089, 7.3375212365120515, -0.5602607839743869, 1.5037807355976576, 0.7500477296034841, -3.071169853557072, -6.396510939003637, 4.74987742895041, 0.8316732868058909, 2.7125821525882863, -1.8848561074227803, 2.3256214633398122, -3.313074182862141, -0.14404277201232518, -2.028405442933555, -0.3198703358688426, 0.30919209774062256, -1.8421963044389233, 3.79698505611803, -2.9893213058261576, 3.839955048582145, 1.0924349193248053, -1.6861765946065996, -0.6647110864896972, 2.106441669970471, -3.6452735304139425, 1.6030321817075162, -4.023481885372908, 4.090041546574725, -0.7292602719328484, 3.2785314057333856, -3.5154104523931404, 2.3821245436249585, 5.767142488201327, 1.2608489636344609, 2.3641640080121293, -6.570678827125722, -3.0867562130250272, 5.162251520388976, -1.9604337574515858, -4.8875746179417705, -5.739695731898305, -0.3663523174628214, 0.4778022118770012, -3.12713513994985, 4.695791460215026, 3.39341485235868, 0.6248948210233923, 2.842139711583898, 4.747066223857522, 8.106891944215617, 0.6542683215163956, 5.087846867485384, 3.315680757084687, 1.5808492485988546, 4.794685267809751, 1.7640168723397203, 1.0806204677299933, -0.809591822067544, -3.6943183455901054, -2.9054048639204773, -2.5791910242745173, -2.496837165315375, -3.0294872108886715, 6.726594916422646, -7.197042001291381, -5.575492522948911, -4.555600217891996, -5.862710172798068, -3.8162046305062702, 2.155726874980619, -2.0095301252476805, -1.5822958598614594, 0.02641031533256892, 0.21728185252606846, 6.897447912100026, 4.0716642192618995, -0.5361241137548542, 1.607711936360305, -0.36424618368248574, 0.750801111708792, 6.401783726461128, 9.11865151679176, 1.02227203990986, -1.6638350889454596, -5.321556405968278, 1.8932139359097497, 0.9859899382849571, -1.079070571815216, 0.46961200434291617, 0.3126512006789208, 1.9452200293969546, -3.4082129464893853, -3.375605774330918, -9.684345095925337, -1.6191878909701747, -0.33354490236673295, -5.218872817386583, -1.6627760292583718, -2.0088458975918964, -8.466906747439404, 6.511984130215519, 6.200017851360212, -4.962366992547333, 4.331854060475061, 5.570054932200707, 0.3498232183757408, 10.560391763639815, 4.7689375567951, 4.1900007984925605, 2.344021444793762, -1.129515308341851, -1.9081884793581803, 4.159834073437654, -1.8635827664340412, -0.5098909557795541, -2.7276255090925363, 2.044903445138137, -3.1355593764526577, 6.35709387453712, 0.4754072473511801, -4.914680724223976, -4.017002087457726, 1.5864694602006315, -1.8751938626225164, 4.225959689969124, -7.744316034057408, -0.7678047678964357, -1.0469806274299764, -0.7748359678769752, 1.1663038091529851, 3.9652650645367573, 1.461783777342328, 1.3534061378731255, 13.055969248054462, -4.5529829246701805, -3.3813643120255312, 1.9541656651117787, 0.530496192243197, -2.4087223177742723, -1.2351636508986015, -1.291186624164435, 3.06399542890482, -6.790265380065008, 0.653799031834248, -1.0508418892576314, -3.654114342704761, 1.1652507702532147, 1.9425930164029381, -11.919671209861749, -3.9050236586766784, 1.2034114311267232, -1.7830696565241053, 2.292438918737692, -2.900346667778426, -6.076891224317358, -0.5948740976189012, 1.3984725576852814, -3.0720428719487973, 4.581222851048222, 4.795800020300281, -3.336854710919018, -2.422068111184641, 3.3546627866402936, 5.371194693178297, 6.799231415866061, 0.20401683452311326, 2.6343638753377805, -2.1515292063788594, 2.8208550456457786, -3.53516128893248, 4.222462678711282, -3.5759375755540526, -5.771110669815551, -5.272942522362852, -10.776739389266636, -2.3568466497916845, -5.2902075465290235, 1.6118272277843184, -1.168761658886606, 2.739354425032224, -2.060699847143721, -3.59435552082922, 0.6835390922931222, -1.8740022268615926, 4.421996552162671, -4.240059223496792, 1.019256327370436, 4.16925938371244, 4.370330155162, 4.6303100162912205, 4.889583896344824, 4.95179148353412, 0.23227236524890138, 4.099676535916542, 0.6535409867414935, -0.8256769641906272, 3.93214864291602, -0.018879750716481902, 1.8312027815927303, -4.720546274459262, -0.9993107174615102, -0.3930515941644772, -0.36625303776252793, -0.5240307444034824, 3.5321443785887263, -0.7839216369221857, -1.0151515773252902, -0.623507031817752, -2.018980658045627, 3.78144967828764, 0.9028275973766777, -0.9252116238063246, -3.169228505017458, -2.865682598985288, 3.806592938517983, 3.9446665767571636, 1.750394762136919, 0.7125876990161002, 6.196433888119694, 0.43713976993693104, 0.31461010761588937, 1.9675824444964225, 1.2175530005502309, -2.299826425719471, 4.78866604531487, 3.514113567428226, 4.675920262425239, -2.3226770659081195, -5.457555098110455, 0.9892305557135312, -9.683625035265084, 4.568048534249995, 1.6665935925373532, -0.6398612514993198, -4.456040374140688, -0.5505929844154498, -10.558340646369915, -0.8527686285526145, -3.2084543935724503, -1.2522999390141465, -4.694497927996969, 1.7285983398653637, 5.261903877394543, -1.3763839416848491, -2.446638722812821, 7.580733235950464, -0.20569343039769405, 5.8419437754934895, 4.41529049057193, 1.6654585498267755, 6.851360135952857, 4.495671189213947, 1.90107365672253, 3.742334612217952, 4.0990915508828465, -3.942828788075123, -4.0254953564751785, -4.8161313593505435, -8.60650933069785, -1.6083255273170751, -0.35674418294705657, 0.03647883635732985, -9.668369216163299, -6.307033489775858, -3.6080960783553584, 1.3865196425941309, -1.2351436612968598, 4.589086260816685, 7.310600686809853, -2.72476521697987, 5.058050672917252, 0.23478290094216403, 1.143736838413223, 3.7025532956449627, -2.3927310567221824, 5.559223602950928, 5.547171267919848, 7.592134209844588, 1.4956249259986727, -2.6819271908614426, 0.887752623769312, -0.492165235978725, 5.863410022836511, 0.3411840555563391, 0.6404618577286321, 0.08453409708735338, -3.7453644857395973, -2.603689769711052, -2.655571212715273, 3.5218659631395908, 3.501409863462155, -7.750050204827426, 0.8964658538165209, -3.6937596203256042, -4.963299578240783, -0.31740704156294725, 7.2319971142689985, -1.0495747452833162, -0.9011092862407835, -3.702274115395666, 2.969382799975908, -3.279797806178992, 6.873079085414664, 4.773325369600005, -1.9034231715849104, -2.3313821418810186, 2.8263390038996823, 4.409802693265004, 6.140974477720007, 1.513769181880262, -4.787243146086667, -0.269209641270154, -3.697110822153596, 2.5448420196971657, -2.8630936094591686, -6.527268441069655, -6.64786827547981, -11.051423971693628, 0.049770506469746234, -1.7536266210678066, -6.817321441959174, -0.8467025013218317, 5.129487173971894, 5.114818693813169, -5.849133170736004, 0.2813972141488607, 7.947671461378921, 4.021241167921878, 0.5604223291542052, 5.363919388836828, 1.3969110306513284, -0.7874119821587335, -0.012514642051904445, -3.9317261355158815, 4.1570751227546, 3.9147467025799356, 1.0712995881931284, -6.678746237368238, -0.580082803508448, 1.1263135208656214, -1.9029867574004915, -1.7827747534488836, -0.5357702444000811, 3.40515542249294, 0.8037458506333794, 2.436109142639079, 2.109532678803571, 4.3250691526473615, 0.4444057573242943, -0.344733976030148, -2.0604352280745077, 2.7273235421610673, -3.5191482554009434, 3.8130096568050984, -1.2341861812206099, 1.643227975496934, 2.362181674376858, 9.16784343557304, 2.9313005972168718, 6.609570460870648, 3.1670431085653292, 2.619480876110699, 7.032682088926204, 4.973401107741354, 8.26372773293813, -2.7865319855617416, -3.4303996913788777, 5.4386140090480835, -1.636240098155084, -1.8813243618180566, -7.705153606467379, 2.4651740254112506, -5.805770031357058, 3.1519667005962306, -6.3631337225768565, 1.232467481098297, 2.97476734689089, -2.8354735735055563, 5.392931792820197, -0.8946445391134392, 5.379309789965093, 4.899446533092183, 1.301349952771398, -5.479354385502186, -0.33137222375811204, 1.6081796577248593, 1.732670085616432, -1.4038299288892713, 4.206878382623288, 5.865394820865181, -1.2866007754916313, -0.7744573979505351, -5.101273472490089, -2.282027892605532, 1.7341391287174743, 1.7098505312711174, -8.16689606288335, 1.7438970627612496, 0.6210951515041738, -6.024142497000499, -4.193737201032272, -5.921405867322607, -4.162000640338155, 1.7063354220084914, 2.638444217414997, -4.861748460469615, 1.0546203264096738, -4.004457513620862, 1.7377102454092384, -1.7777258956010002, -2.02215553961429, 0.17336663860627066, 5.671911139390767, 4.1642208014779865, -3.741051558222564, 0.7304218312423165, -2.7156550853581436, -6.102975767427468, -4.230029675378048, 9.89991058418839, -0.7319715781591184, 1.377136855392418, -1.2067234732400958, 3.0147607942385077, 0.13651790398714758, -7.77283461543612, -4.783680130992899, -6.260228132901521, 1.6090304463349936, -2.5117851033686938, -1.5481760025458635, -3.3168673689889827, -7.236938437943846, -5.002604220663395, -8.990943941127405, 6.172140817210276, 1.4331249060783595, -1.1090347926545658, -1.3119836733140093, -1.4326481725507036, 5.846762940597852, -0.2219636676758432, 1.2815747198736593, 3.3909531575586724, 4.358755460314069, 3.4579067286885596, -1.0829937525587543, -4.346084846202288, 8.620892019408647, -1.5454284634238356, -2.1465398017018225, 1.50249615778801, -2.437649878510488, -2.770200635145522, 7.548062793233471, 0.7463631134100166, 1.6423240771692318, -1.55329397631415, -1.585097752051809, 6.0857232032917254, 1.9324317183971231, -0.22443465793295703, -1.1034706734636943, 0.44992797538210694, -1.0155282132446595, -2.7927163203092524, 3.255026978243136, -0.4736184479541756, 5.991375929439986, 4.836974752624414, 8.306719395964599, 7.1749442993728305, -1.629195508015119, -1.4203870994984722, 5.4982063609977, 2.828738830334002, -0.3495192168813399, -4.5571738251167275, -0.6702727057508222, 4.363249192480413, 3.02706389159304, 1.1573730796242454, -5.5352414273808055, -6.659778431081169, -2.9667709579401884, 2.332331245389964, 1.6779989493892655, -6.334937814900027, -4.111098091782372, -0.8481765435072168, -4.718712691787922, -1.363214645490695, 4.166763073714653, 0.5517255546058301, 1.81574920759038, -1.8539661505552056, -1.542798884395269, 4.677071802446833, -2.1045740428188364, 0.3476997986505408, 5.319928070816797, 3.1692915278653135, -1.4117235194629951, 5.053662679850752, 0.15743179994491685, 1.0484859571344383, -1.7382547504778842, -2.803957805927346, -1.1300283935182622, -2.4382224549744285, 0.18657484582855322, -3.528102830401212, -2.7077130215979537, -7.561264151800547, -5.960998752962013, -8.37323390644771, -1.5301329028014923, -3.122073333333627, -3.0859780407619475, -1.1156802859465125, -3.341479924199465, 1.77652778349192, 6.731479102132076, 1.5748005376018854, -0.3380926352718343, -3.344446554200193, 10.692023174929941, 3.7392092369926813, -5.311075204818959, -0.882181305549059, 2.4962179153320134, 5.129884815283088, -0.7861835304156212, -1.1065295049577957, 1.7241957834624766, 3.0297048902583654, -2.8828138091507425, -3.105457825954427, -5.989867478229965, -13.27787610184199, 1.0890068580974273, 3.063928335789535, -6.018796256467727, 1.0114372347299134, 5.497740557413126, -2.989578938619066, 0.166323309949038, -3.1856389463453145, -3.7682723765714536, 3.890398498814284, 1.6445201701012717, 2.4339559235338157, 0.8456618941102232, 9.088745774111057, 2.531616419443317, -0.6657480479908662, 5.072233078059776, 5.084273459072541, 3.1018299436667283, 2.8523453900376357, -0.3326079691493947, 6.988523437569653, 4.18515812676795, -0.3490560873350635, -8.023476217651023, -1.2443152468297194, -4.472381541234238, 1.7389678716720014, -6.10819261805015, -3.0866451716110554, -6.0245045265143435, -1.80962379316214, 0.21912835823872268, -3.140505667470649, 3.850610410293873, -2.7368225536544513, 0.641267383519394, -3.472231676977781, -3.098803064920194, 10.892143520381318, -1.8410810085102651, 6.171561547406633, 5.818807056955064, -0.48771523420541296, -2.3730474557495023, 1.0114570055382293, -7.429673605163115, 1.8492811092571961, -3.0424211935359375, -3.412531273476615, -2.0731749958880767, -2.1347879180813916, -3.3845015820125077, -2.444170458843672, -0.9714489267836657, -0.2501473383559234, -3.8754757067032886, -0.9313448724946827, 7.945378146747654, 0.8646150128648025, -10.028585890369097, -4.750891259601371, 0.6971478129252393, -5.0425237121267985, 4.161813311414205, -4.5373013182359045, -3.506360416968562, -2.45171808743385, 2.430350811297127, 1.0026865264369214, -6.7580606574016695, 5.865186981413439, 1.3211635627813298, 7.6230145334101564, 3.1957132368017525, 0.5753152163039867, -5.820649337722739, 2.271174607390317, 0.10748808561666495, -0.9798218181167823, 2.9233037806130477, -1.8549165176139926, -5.4292776514750285, -0.1305659614144432, -1.0314839871977837, -1.7320321704117174, -4.173713256382143, 0.7544990099832705, 3.3026599713348173, 4.7871158975251555, 2.8443715976164055, -1.5819378326076494, -2.882895185967185, 5.939836936328265, 1.030802186033862, 6.385164953578493, -6.255398915650777, -2.7186207205894015, 5.137895544791402, 2.6903144275974107, 6.7932518353972124, 1.0516696726202532, 10.77120707486516, -2.0108743813112957, 2.2194399365930657, -0.7736877869600932, 7.130876902032543, -6.289341704160586, -3.8648266573149703, -1.982916616139255, 0.04246204958225386, 5.550475814285855, -7.780225629985889, 2.6365374198554536, 5.10866282918033, -0.6995140422066906, -4.244956257287804, -4.036451994593965, 4.70496029109499, -5.0553849768232615, 2.4046905076073757, 3.0706146809651393, 1.4265344091647754, 5.720308134293556, 4.120047163810635, 8.16268137109759, -1.7819846378484536, 1.8022542310083212, -1.8500313960840804, 2.1881875347993875, 3.139461717736903, 5.321197372000905, -0.5812476985947146, -2.77062523018967, 1.8793381274378642, -0.21954066507652903, -0.9260761435373412, 3.3222103168922783, -7.042236634025249, -7.9201343552247945, -1.3025106854137298, 1.1980773126515598, -3.7302578428779904, -2.484491892759554, -1.7326207804132734, 3.6140783433414896, -1.028702547264206, -3.893428877843829, -2.627826114268699, -3.5731921672006246, 4.994387942450412, -4.4554353944467895, -2.479777884106789, -1.1168051112421304, 3.247721294896925, 1.9823525493286072, 2.988450554007857, 0.22464854606421603, 2.351517062216308, 1.1370829009791819, 0.5240877150344225, 4.515044823625778, -3.243300712433819, 4.6036584442324315, -0.1692212200522234, -0.42194716343923977, -3.4566329636858066, -6.11721439968189, 4.910298774139142, -1.3818034122599194, -7.010728231600101, -5.2476648989150405, -5.48512768999199, 0.6320856535372499, -3.5843975949208455, -5.726292169537694, 0.6518948813864418, 2.6397325069117645, 0.44351144168304335, 2.594253360728739, 2.591988795132331, 1.98202758438052, 1.4257752705396023, 2.4337119428606875, 6.714543559271845, 2.9033535024067083, -3.066063503194165, -2.4200342730667037, 1.7595673116383486, 3.3469538217401773, 2.0348048507922423, -3.02143207794123, -1.5140907938226196, -0.08416019872154634, 2.114913058166091, 0.898075304743096, -6.842377265471983, -0.5485805903734338, 1.088225150101249, 1.5928479426978823, 3.7176606236080003, 2.529450258206639, 3.8969153054209698, -4.298947242316607, 2.1413998826275433, 6.066741750893051, 0.12987069826459385, -1.4695047438398845, 3.7958099820970195, -5.993950377242328, 5.846044956475022, 0.10633964444268473, 6.680054368863076, 0.15237407699043914, 3.249147567409925, -0.45398431860811517, 1.6754222949088178, -4.8205324388162785, 1.7956849893277755, -0.4004934998966082, -0.08077618536339304, -5.686488210266628, -4.791620957170216, 1.1150454314747416, -3.4791980865929344, 3.044003154601374, -7.19323786687106, -7.343812054562247, 1.6982971668450422, -2.3663779220488377, -2.5360877344331634, 4.197588184713526, 3.602243012804892, -0.057517115495789195, 2.063435476559916, 4.697689730045836, 2.0154714504499007, -2.9348654219173445, 0.34005261878692683, 1.3827574109337513, -1.1617354958831172, -5.126335041725131, -0.86157878166414, -4.272981590071511, 2.8612824669571504, 6.471395073299707, 8.843250401956007, -0.13058599239957902, -5.231534366119906, -2.5813899004531446, -3.9897847037638137, -3.3371387491090103, -1.2640973658718189, -8.123643084198054, 1.7712626205784168, -4.874398282585506, -5.134570787413866, -1.6496610330894268, -5.128018473263217, 0.0907101919253577, 2.581921369945054, -8.180025548995047, 1.6462395804261485, 1.0146825566389672, -0.4596043668286576, 1.6306348077824955, 3.5210012334335556, 1.7116831928950527, 3.3714952438982717, 0.013999588389638662, 0.17380571075575846, -3.67314084414934, -0.5307525776368107, 0.8540362766501758, -1.7925350317088005, -2.637505908417875, 3.713450507224856, -5.701946193581659, -5.828538937261152, 0.7816008960947833, -1.2649295434375405, -2.391769708406901, 3.004948247978983, -8.770967846761433, 3.942650996668843, 0.7443221982785639, -2.728109143347558, 0.43670952838149635, 1.9773139065684306, -4.397860617445751, -1.437539683669509, -0.8535362845374941, -1.269492038592535, -0.5283433758466534, 3.1215338403897643, 1.0974062757294765, 7.089587024848996, 1.6529167615933489, 0.7765471542026225, 0.037995902203941556, 3.068708153166649, -5.176442004013876, -0.4198447818609137, -2.523329963030727, 4.473832755931451, -0.010322728649498236, -4.827107392432031, 3.779134244735873, 5.116708396878232, 0.20484348707892863, -6.16491982970903, -2.3513877342800726, -3.604429463291088, 8.399027514589518, -4.383412277588551, 3.427277100663034, 3.754349141271784, 1.3218510789333524, 1.8834464561791024, 3.6179254732075705, 0.30780509819647617, 7.387663186667295, -2.961754530559385, 5.868958271267023, 1.2366657880325784, -2.5837418516152475, -3.882079966796076, -4.985383696874568, -1.8349137467294103, 0.817239688214425, 5.453062002742383, -0.4809662411164919, -2.347495592145033, -10.627368401934806, 0.91202300564703, -2.8873971449710703, 1.8858010099657303, -10.583131014119642, -4.717226600567463, -0.6624757423477414, -0.3890828648484679, 3.0892245045710975, -0.8372727085729972, 2.9301987225480293, 5.694390535877212, 7.8219228871175535, 4.8742073768248995, 8.90308771877236, 7.364605821415251, 6.25557348174161, -5.717071605171756, 3.418057574685048, 9.216119602887503, 3.8973810970986453, -3.1270819004399932, -0.1932109816258123, 6.811198803293126, 1.2689043787604009, -4.208275063160704, -1.7283287064045245, -4.409091746596463, -1.613219124474588, -4.1175510265982105, -1.5523868966293413, -1.6865964764427317, -2.340312391584945, 0.8183452134011435, 4.116089687746079, -3.1317509175505345, -3.1388595857301524, -0.34589226205904955, -2.064964806021705, 1.7285140817042994, 5.549724592783867, 3.3616299803133556, 1.904681712057386, 0.8190622026314818, 4.938129733352284, 0.11320945004715943, 5.830082713696463, -0.4033188418301865, 4.665105320534859, 2.76347133677611, 2.753805724005589, 1.416244739406248, -4.714372732207888, -2.327027353627653, -1.487678277222194 ]
Is the two time series lagged version of each other despite amplitude difference?
[ "No, they are not lagged versions", "Yes, they are lagged versions" ]
Yes, they are lagged versions
binary
[ -0.024059902498196676, -0.015327806984663106, 0.001679745215382349, 0.011366533034090878, 0.005523601925849806, 0.009823861716958884, 0.008747758085747868, 0.008900679320822709, 0.0023502881550541595, 0.006162317424863955, 0.00428407045539805, -0.004386817294039403, -0.012256762967266943, -0.027955603477957912, -0.016956261785181868, -0.007835273309144164, -0.0011847233122616162, -0.01174049207288969, 0.0003811719475515316, 0.00617172094973726, -0.0018533256292833002, -0.00030058450342086663, -0.011038146555197085, -0.013874107557415236, -0.015942071998133366, -0.017529414988796822, -0.016967062744033146, -0.01912255802171832, -0.020924069318782004, -0.024895653373784726, -0.025786170255503983, -0.03773888443775117, -0.034389303581828914, -0.03488324495392671, -0.05358683388898963, -0.06461327257523472, -0.06588961916535985, -0.06465269223286732, -0.06831003711562071, -0.06313546467687145, -0.060480427473105246, -0.061333159490842934, -0.04931637064722309, -0.06432989618212645, -0.05929069389007911, -0.054637290612862405, -0.05817664514889079, -0.0671313272800275, -0.05346842506761367, -0.06226353388757464, -0.06494797829302151, -0.06774990499535169, -0.08610238220328992, -0.08149106936127172, -0.08728717862384303, -0.0812374722326672, -0.0718326052529901, -0.06648515609009042, -0.05298730160375033, -0.03188017465807165, -0.029439301023159455, -0.038135474739507506, -0.042706490169756736, -0.06462939192219845, -0.0433905869808353, -0.05081965504011705, -0.06555944988800597, -0.06331854464207669, -0.05864626624043698, -0.05175906639423232, -0.043652871596835126, -0.05358274291650919, -0.04710256166628886, -0.041350877100534575, -0.03864970824620994, -0.04595100985611644, -0.033404676207574334, -0.03562431306028992, -0.04631651452077924, -0.038349760307876596, -0.036102333137322265, -0.023588213084549753, -0.02645705020116974, -0.035240124181365386, -0.05150833441663867, -0.05743867725150678, -0.06179790118503595, -0.07339913456118077, -0.09257816134363579, -0.09282640244170501, -0.09679128234738647, -0.09007852051726492, -0.09007191399972378, -0.10090746672775908, -0.10905163368181267, -0.1156353941533795, -0.1275389889467185, -0.1266100012755887, -0.11326711300116644, -0.11656832448421697, -0.11127015085712556, -0.10911090660734254, -0.10789648596302594, -0.10688923786805576, -0.1113374660213833, -0.113849648167702, -0.12358206892613104, -0.13949614215917985, -0.13678677961466876, -0.1511118097074827, -0.14823338798671465, -0.14792386913980965, -0.14724489347147998, -0.1469627706357828, -0.14354191452827994, -0.13843121205984127, -0.15791210956760166, -0.1680535974451502, -0.16842055149925447, -0.1713730084542364, -0.17853273394847138, -0.18148021898816796, -0.17606665180597095, -0.19525866298451938, -0.19084941943758796, -0.2115080544042345, -0.2329384127212988, -0.22944156338330676, -0.2291376740083215, -0.21912374630163667, -0.21833668592652244, -0.21740396887530192, -0.2169518243238806, -0.23744958173704633, -0.23682906973977141, -0.24007886460866185, -0.2524017367120065, -0.24398639784246245, -0.23525393687312854, -0.22739824241410406, -0.22465592152448183, -0.22399840767186158, -0.22413383153774583, -0.21984377730498197, -0.21470199737303816, -0.20546607877626652, -0.21664422595027516, -0.22250721481470248, -0.23980155187985525, -0.25728740674785544, -0.26083794222059337, -0.26876022278953093, -0.2704814305427734, -0.2797182017092648, -0.27856163890852037, -0.26352971205481623, -0.2584894793329338, -0.2510948487434386, -0.23240664976402872, -0.23825995827028917, -0.24711094477280804, -0.24523038180142914, -0.2528679788301727, -0.24588454185799544, -0.23451669383529414, -0.23369361822887638, -0.23783864401742738, -0.24915041728004433, -0.24351939628082322, -0.2523238451695135, -0.26685083978958873, -0.2577675039355027, -0.2604725296551983, -0.26433566287227966, -0.2523141669878784, -0.2501294866181089, -0.24744558416769025, -0.2495493664501158, -0.24311924613349795, -0.24610939655478292, -0.23861962249467195, -0.25154778132402145, -0.24430499692236027, -0.2467023884668522, -0.24457406419088554, -0.24853624194460125, -0.22277612337183927, -0.24051209044059244, -0.21271385719933053, -0.2186679423586429, -0.2349215477346994, -0.2412891334984825, -0.23295370062389256, -0.2256644045212375, -0.22730405351450422, -0.21930668883799095, -0.22584929392936298, -0.22399677728134887, -0.23429226082459687, -0.23415583325221415, -0.2280690421974217, -0.22590073474960123, -0.223103203616989, -0.22625732144062888, -0.22174005034991096, -0.24710659826225762, -0.23702357056185086, -0.2359904711938359, -0.22537380801175522, -0.24357156910125388, -0.2501762525761886, -0.26570026202950947, -0.26447833281119176, -0.26533478982737957, -0.25741498172734245, -0.2557305538245705, -0.2513735453604281, -0.23860772464559418, -0.21996508418431612, -0.2233579112437193, -0.23532858223652273, -0.24206660779686923, -0.24442711244722828, -0.23690400566835942, -0.23983601035532642, -0.23125012388379773, -0.22396154585671246, -0.21397077417210728, -0.20513492823970966, -0.19607341573835765, -0.18665971859475858, -0.18558968060870978, -0.18709666746116724, -0.19401180525949882, -0.18539971229842364, -0.1733137914833199, -0.1767702332271193, -0.17660702580140666, -0.1618769552738377, -0.15668508649825127, -0.15120017699261465, -0.16682633530445443, -0.17804704805441762, -0.17134995764634658, -0.19202004135672895, -0.20540288062357684, -0.20704528966038016, -0.21358692432735388, -0.20245897553307, -0.20582728357112023, -0.21947583854590663, -0.2174626710704081, -0.22983305406534407, -0.23643765467181904, -0.24997244403184057, -0.2629232666388972, -0.2688562390587468, -0.27181580711018766, -0.2633069519048758, -0.24976476133312797, -0.2485411905814044, -0.24427440897071895, -0.23207049423251258, -0.2456659588963956, -0.24594556346874574, -0.24510795969313964, -0.24788293883295287, -0.2506783305891208, -0.2476158475137713, -0.25096886951134245, -0.24993448685625738, -0.2674948769541237, -0.27350285126801704, -0.2793528409406215, -0.2739379244922279, -0.26986434482430405, -0.26528140457815813, -0.25203934583577986, -0.2529140628373425, -0.23811954719245104, -0.2269709980558991, -0.23136123667201425, -0.2417441865166436, -0.23492685521700998, -0.2267357342002383, -0.2146410382637707, -0.21744609901296091, -0.21653442581012433, -0.22113024096243922, -0.22367987918129614, -0.22692832636817742, -0.23935491301620315, -0.22025584727825004, -0.2217380365092444, -0.22636327944171677, -0.22669615885997715, -0.21066796443460198, -0.2125160980409083, -0.20985504007424485, -0.20938527180371067, -0.2232460842128867, -0.23060529427378956, -0.24609177441974048, -0.24173975823628363, -0.2540208402912423, -0.23599825856098927, -0.24430084844008576, -0.23170211060357965, -0.2251961410008665, -0.23422186236365033, -0.23440956854028147, -0.22656829206115478, -0.22172538961286545, -0.23138185512195017, -0.23269408393680882, -0.21718899198552152, -0.20541334048641896, -0.20566567248961826, -0.19695615623459453, -0.20627528801215964, -0.1927873444554008, -0.177421711826814, -0.19088069788932407, -0.20735455719394086, -0.2103985863713247, -0.21013421844090194, -0.21123764566354317, -0.2063717153686695, -0.20336196954025715, -0.21254598674790587, -0.2144693665595324, -0.19884704462676447, -0.19273727025367582, -0.20148555795070036, -0.20220784653924223, -0.21355276476468904, -0.20401554376369055, -0.19991521750909774, -0.2016985912792892, -0.2057143211229106, -0.19934614926900127, -0.21560495513079359, -0.2130079524874412, -0.2216871563389412, -0.2097026611344525, -0.22665117144220254, -0.24022782742795878, -0.2337875212970289, -0.2348658049896705, -0.23668509859360076, -0.24536751409194033, -0.25972798742659825, -0.2570775311012411, -0.25373056994818544, -0.25386550696482557, -0.25467263434984827, -0.2510576391488741, -0.24379275963388042, -0.23270725239481954, -0.22766974720842958, -0.21921031707173155, -0.2179460601676493, -0.21376752976793342, -0.22636513386323429, -0.21083497689196998, -0.21809884442095473, -0.22574060304873178, -0.2426519533468855, -0.2460994072508475, -0.24398299571762602, -0.24490325972310803, -0.25158397294066787, -0.25786395982770316, -0.254271748425478, -0.27640384278051966, -0.2656795604561231, -0.26499271520927953, -0.2678877283634855, -0.27818269377797655, -0.28781156833442, -0.2813994144554924, -0.28568156485946244, -0.2753333336751356, -0.26012310250737153, -0.26091087314576344, -0.27583131490924323, -0.2731679853603741, -0.2522064191826195, -0.2624098033272166, -0.25570118486343896, -0.25610110248951135, -0.26423180261415746, -0.2628699494312191, -0.26495022455361256, -0.2520471745061925, -0.2565428750213448, -0.2649934677727216, -0.2580067532651874, -0.2672028604056987, -0.2646477859918754, -0.2684465053856004, -0.27030171280811477, -0.2834793657486136, -0.2817114275912708, -0.2800859114223142, -0.2768655924952587, -0.2853090360423986, -0.2745787281077697, -0.2633775515396161, -0.2621498533100641, -0.2653846533022083, -0.23893173829500725, -0.247043128216398, -0.24085904633074492, -0.24510606698572004, -0.24631034443867164, -0.24215914077472925, -0.25038519490390143, -0.2521693222239008, -0.2377437225968671, -0.2382404066133416, -0.2566376840703284, -0.26220807037805804, -0.25417769873148477, -0.2548055770627578, -0.2602328995841474, -0.2686770905138256, -0.27694271132151255, -0.28135796185830264, -0.2747119353636047, -0.262282237432949, -0.2747734440512959, -0.26274754410885837, -0.24507640334512598, -0.23841242706083066, -0.22894864886919944, -0.2181075269606822, -0.2249249357660541, -0.22518358326400414, -0.2151079603443699, -0.20485658156673384, -0.2020513758092347, -0.20625949936811197, -0.19879553102678596, -0.19255362638770385, -0.19116594986604052, -0.18092483065884252, -0.18755910708245546, -0.18457687047244184, -0.18269024418515353, -0.17279179198288214, -0.18870332511473964, -0.18876119090081703, -0.2000245277127116, -0.18022742234745645, -0.1979995218182981, -0.20367403095689363, -0.20592721362037536, -0.20474792628747387, -0.2143858470865435, -0.19517458371320948, -0.19301371492269678, -0.18319231802808505, -0.1985393416331796, -0.2063415355870074, -0.2061611631588513, -0.20392054170425447, -0.2030440482044852, -0.20564155868558978, -0.20854024705708377, -0.219662494446134, -0.21358269928748908, -0.2223777943211809, -0.23784246844332033, -0.24334253088881921, -0.24620342580501733, -0.27206884769331746, -0.2685319863611788, -0.2557267651075719, -0.2550492008254283, -0.24907988094835576, -0.24135424857389418, -0.24679749307207693, -0.2498663358131765, -0.2516405906010934, -0.251554958900137, -0.2443142297951061, -0.23297487111959841, -0.23611836717400003, -0.2353714949104595, -0.24632624142525641, -0.22960409304203835, -0.22192623933264452, -0.21787126007810967, -0.21580668050683155, -0.2074569544960471, -0.21737367117398607, -0.2114645499474663, -0.19687923706646546, -0.18748149989547122, -0.17806398150324673, -0.17872130809209963, -0.1794084547821739, -0.188640209234573, -0.18331822732474537, -0.1882493096248795, -0.19819831640930805, -0.19808080611011802, -0.20325281156363492, -0.20522660139054624, -0.20182327098938802, -0.1946781399138467, -0.19298084194024429, -0.2028361403361956, -0.20989959626001847, -0.22245578483549475, -0.20879326306036794, -0.20658373695789514, -0.2065182009762115, -0.20084233621390488, -0.1835917289969635, -0.19328232222424663, -0.1863209414497244, -0.1818404048305912, -0.18591769269936229, -0.19542295592220452, -0.18633349058889112, -0.19269940656945617, -0.1887647921021877, -0.19329786309789143, -0.19314113448598633, -0.19898965765319518, -0.19576470443279936, -0.18260250926229024, -0.1703350528112928, -0.16908686883803317, -0.15962779983432274, -0.1722936350137534, -0.1755610752920587, -0.1722144300928239, -0.17240553075659815, -0.16696159954884016, -0.16795459566712023, -0.18192925552019965, -0.19304156759626265, -0.18881876116401516, -0.1896034969760411, -0.19379035839150002, -0.1783195621149389, -0.1752964868254978, -0.17172468218026352, -0.18095421113090765, -0.1880660392240909, -0.18825305715764207, -0.1869107727966422, -0.19460297313243713, -0.20089169825505204, -0.20038864295604994, -0.20585013428982077, -0.2105094109366539, -0.19145758050762868, -0.18580339981932956, -0.19351417857887981, -0.21537470559893884, -0.21230869816444287, -0.20080613746880221, -0.19438292397300377, -0.1967130482258694, -0.20330548050536337, -0.2007150126603758, -0.21484367566511378, -0.20939740616459546, -0.2180424274237863, -0.20904442190623562, -0.2170939438062757, -0.22699578017460934, -0.235814246491384, -0.2301104422694052, -0.24948159979434867, -0.2533302791520754, -0.24672282026531187, -0.23463421404512605, -0.23093474017376908, -0.20993134863209834, -0.208747568808326, -0.20616752263840374, -0.2134194906095529, -0.2222790253656968, -0.21184159749365047, -0.19542521537523305, -0.1916936570807345, -0.18999969713370846, -0.18617604385605038, -0.19564616295802303, -0.19596221764203792, -0.19047804034077576, -0.18354868541640662, -0.18204835616286325, -0.1956156162607383, -0.19954826229574749, -0.18564054732370205, -0.18795726010073524, -0.18597808237531782, -0.1812613645975564, -0.18966534460908782, -0.17658853434339894, -0.17661542895670296, -0.16564016873662246, -0.166473106300522, -0.1666091646130905, -0.15698560456449892, -0.15820263459651746, -0.15913239041774668, -0.15782214383208418, -0.16766255450159004, -0.18909666394091085, -0.17411951329021294, -0.18307236105720862, -0.19126828302839516, -0.20122253543883634, -0.1979941446610299, -0.19559903112520657, -0.17290611086221436, -0.16189973030727592, -0.17338460934718825, -0.1884897160861967, -0.2033280217285172, -0.21270770490040247, -0.2059590448253474, -0.21200944008152003, -0.22221961371967228, -0.22804323170754448, -0.22525482631974444, -0.226355020615242, -0.23822362732178273, -0.2426056167273739, -0.25063640008567506, -0.25257186854386204, -0.2452840379124261, -0.2652668052203179, -0.26966210733412427, -0.2557995675378759, -0.2651227896036322, -0.2652476164043336, -0.275170507537017, -0.254975234879038, -0.25721201831908963, -0.27085724384621845, -0.26336546603176675, -0.26447233550148136, -0.26041502865869604, -0.25735278884525925, -0.25463487760857956, -0.2515614749978233, -0.2447411609859996, -0.2486548849062833, -0.2366024487328496, -0.24646330637172326, -0.2441470647570072, -0.2455320709025648, -0.23421716075583474, -0.2159630317361886, -0.22491096094583457, -0.21771155208752904, -0.21562520294207588, -0.20981402190876286, -0.20902104558614218, -0.21622148876279595, -0.18880978369341422, -0.1779520398426353, -0.1812823015944963, -0.17493890500875425, -0.1771143290366619, -0.1845209888540518, -0.18048551424566958, -0.18912695323110462, -0.1856049426676714, -0.19335990832408412, -0.18054269433049458, -0.1931339110854606, -0.19228299111771555, -0.18636114235535423, -0.1887420274213402, -0.21950219078940744, -0.21340519543726952, -0.21417496152621418, -0.2022767036501407, -0.20132806758884345, -0.2023694670294335, -0.19439774110343927, -0.19012401272014373, -0.18443148548539584, -0.18685075670952772, -0.2014088284179278, -0.21077901823397818, -0.21316699105529377, -0.19472507296383443, -0.18999320698071964, -0.17948713309084452, -0.1876484710016556, -0.20039216296043785, -0.19060327883546443, -0.19133069492734972, -0.19425300582067812, -0.19303013598846977, -0.18980257144046192, -0.1967045370646759, -0.1911139884960839, -0.1972840625015984, -0.2172044660567261, -0.20420830523284433, -0.20373973627915354, -0.20399976152900634, -0.20370744945467345, -0.20526298083590916, -0.19544084483803306, -0.19882496590382906, -0.2105359105386333, -0.2117911385938764, -0.21673626022313625, -0.21397385798303162, -0.21394961402948207, -0.22313046145486132, -0.21858553145373652, -0.19970736791250138, -0.20446375546027837, -0.20770936099762524, -0.20469357961093534, -0.2101989841175426, -0.2180000880191263, -0.21147292434317455, -0.1924139752193807, -0.1983472860661793, -0.2024716094633931, -0.19068161608933376, -0.19825646154441437, -0.1907065577744554, -0.20672752971968889, -0.18990576925059702, -0.1990006548485861, -0.20103893377152682, -0.19618848599942804, -0.21190631820379974, -0.21434451519963205, -0.2214685850049882, -0.22178685422926392, -0.21696523289893327, -0.22601937112280068, -0.22691917493569536, -0.228780792056104, -0.2296373557570293, -0.22986530805124653, -0.2282713327331949, -0.2325130659883791, -0.22199899088989225, -0.24570103449553712, -0.23564064975185822, -0.23335922818278895, -0.24139671633465343, -0.23888212808809978, -0.24409035751030983, -0.25888087910728935, -0.2525410633402708, -0.2591911968733749, -0.27357733436756737, -0.2703607034952234, -0.2636854255064503, -0.27464487341195293, -0.2822168041670772, -0.2748337043670124, -0.2665900229348655, -0.26712573478919904, -0.2631261708071953, -0.24195111008743503, -0.24198949421862412, -0.23091459627073008, -0.2351703523756708, -0.23767996916259343, -0.2381214021280137, -0.23150982722740227, -0.22109374186888925, -0.21223595416253266, -0.1914219052802042, -0.19089022653907284, -0.19069923549281273, -0.18346903888230673, -0.16691407357208965, -0.17192708290514433, -0.16466723619452384, -0.16256827803244653, -0.17309860671402344, -0.17215224995900644, -0.16973163589695492, -0.16662932641563521, -0.17008827403688356, -0.18162125817245406, -0.1799636637583062, -0.17745525239923832, -0.17504317228171798, -0.18591398163658723, -0.18475675114729165, -0.18128028200444693, -0.19158932595519004, -0.19990350943383173, -0.20071301224495428, -0.20869616862938345, -0.21034205113964685, -0.212816314596586, -0.22496179972771108, -0.2302148207881602, -0.22513642976262263, -0.23530416591374193, -0.21776965962830797, -0.227146539360414, -0.22418389049554252, -0.2174951828401115, -0.22598666546377363, -0.22956031071987182, -0.23857726529253687, -0.2498840435978055, -0.2502089492031213, -0.24980076830099227, -0.24135906084125128, -0.23238957874387156, -0.23290638499280633, -0.22260552869615507, -0.24121419125400767, -0.23689384116524556, -0.23368113068800087, -0.234790890301854, -0.23432582906384594, -0.22713194381269886, -0.22668341375504994, -0.2314433290749367, -0.23165179464319363, -0.2505031881532016, -0.2450933354433777, -0.25685316193437496, -0.25653416711515864, -0.2617753876899584, -0.2701223874740234, -0.27397457562032773, -0.2826744565989887, -0.2871536123303662, -0.29426720611206747, -0.3066716684550334, -0.3053605498599528, -0.30818056407092526, -0.30961820735311946, -0.3141679866937749, -0.30891431803589914, -0.30526188097168594, -0.3145897925595204, -0.3107904260902985, -0.31572764505112866, -0.32282076718891356, -0.323746584620489, -0.33193168972159337, -0.3254826864037946, -0.32284054483530245, -0.32245237549269734, -0.3112419051214236, -0.3021205236445771, -0.31750623244555437, -0.32039855382201116, -0.3116312225123154, -0.30662316834822495, -0.30420978870913, -0.2888190363674156, -0.27919062396633587, -0.2747763980376877, -0.28100677095038273, -0.27486613201867627, -0.2755554945765073, -0.2658362436714599, -0.26315945510018635, -0.2577902277262633, -0.27129492974899516, -0.27747821628148994, -0.2820503802055074, -0.28330780818683576, -0.2817600806355675, -0.28242740353889945, -0.2821491694350209, -0.2741501257813627, -0.2722639456004699, -0.2606564105574654, -0.2666843614561402, -0.2705984751805057, -0.24171759864995487, -0.23800237152962678, -0.21844319311307764, -0.21976351491420104, -0.21562472489042356, -0.21762889394914695, -0.2238491302567031, -0.22154226983130537, -0.21130775848857655, -0.20851811602395423, -0.224960243930479, -0.2284004081006848, -0.2502587269533959, -0.24778726732076672, -0.23748634176667408, -0.22443498100232295, -0.22094514609768895, -0.21561420393110176, -0.1993545464577966, -0.2034426813239526, -0.21521062346970996, -0.2257005468416325, -0.21289758101077558, -0.2269113734779423, -0.22301455234083087, -0.22820636828416738, -0.22352857993458755, -0.21172907184641376, -0.22284116019362274, -0.22201906160059132, -0.23293588694657075, -0.2243840459273694, -0.230494209065981, -0.2272485034534156, -0.2248322746358827, -0.23967858935866723, -0.22938282634097507, -0.22112404269027403, -0.2243660889957613, -0.23310144030452762, -0.23259549001237548, -0.23020096401160778, -0.23035176677026362, -0.2211918022881672, -0.21378191007905267, -0.22084455954243556, -0.21578535607999205, -0.21023434412836264, -0.19767437568034502, -0.19830943480695573, -0.2141577713639355, -0.22909280213554786, -0.22824513496367538, -0.2216721364834451, -0.21702880075324613, -0.19987709084344385, -0.1968141366583138, -0.2032224403027986, -0.19827264726678814, -0.19892206714479915, -0.19655992545990358, -0.1858797437406645, -0.1752142119718044, -0.1783927259029998, -0.17864734847553518, -0.19397257895274073, -0.21064973355676483, -0.19353699887062073, -0.19584493105002476, -0.18418333488356187, -0.1825993467518744, -0.17936168646805872, -0.181760154590544, -0.16949178155169914, -0.17183066474887512, -0.17799082181178538, -0.1777586264065893, -0.1704786252073345, -0.17026895103720022, -0.17351932180748933, -0.16586839991136054, -0.18074229926036744, -0.18725280587364612, -0.19598742748327724, -0.2025163032318319, -0.2104109776377706, -0.2037828851268507, -0.21238542893060333, -0.2165636037098672, -0.22529163703266653, -0.21324851777268267, -0.19691318040534084, -0.1993957177347487, -0.20841532715283076, -0.18276881974643885, -0.17910254036298792, -0.17419080002579748, -0.18028070816309852, -0.1726884884940228, -0.16185732108419434, -0.1498066007628677, -0.15242579637045406, -0.14558405340863317, -0.1391615491903845, -0.13367241416765863, -0.13441048023285632, -0.13094143553806725, -0.1210234422399003, -0.1209054378886893, -0.11816862377609565, -0.12068578650122086, -0.12630286241348695, -0.11548752342380501, -0.11177639657547073, -0.10814957548544474, -0.09762140445308608, -0.09863344509204927, -0.10588123574306492, -0.1005327431866937, -0.10899730029898819, -0.10892230499809395, -0.10917751161282686, -0.11197081108033792, -0.09855173636412043, -0.10188680842612623, -0.08915504781530856, -0.09279016053222142, -0.08550610393544564, -0.08769652556523927, -0.08829237518149137, -0.09575264927855241, -0.10331649392814919, -0.11952945703930334, -0.11918886161999398, -0.10937518758777107 ]
[ -0.2955965738879128, -0.27244138444939514, -0.2510589456876453, -0.26732231834508974, -0.30846918030683446, -0.2456879957714048, -0.2861016166296048, -0.29843666792202617, -0.31131155164869967, -0.39564138438562585, -0.3744523516322256, -0.4010855368474709, -0.3732870700631231, -0.3300716038171737, -0.3055000166484677, -0.2434772282126876, -0.14648974991650202, -0.1352739089686062, -0.1752329219477195, -0.1962367876549654, -0.2969727600768143, -0.19938021995571042, -0.23351686863436869, -0.30124638656350283, -0.2909494025418158, -0.2694802323776811, -0.23783347404224486, -0.20058542062405219, -0.24621328753267366, -0.21643678408061254, -0.19000773083128777, -0.17759583051404546, -0.21114539096569615, -0.15349485114725783, -0.16369410667039005, -0.21282488888231788, -0.176217566469206, -0.16589061413280468, -0.10838809613792323, -0.12157043394730652, -0.16192875458565464, -0.23668135787325567, -0.26393134781579813, -0.2839620292879599, -0.3372698230570304, -0.425397660094849, -0.426538330645283, -0.4447569970127581, -0.41391178326188005, -0.41388142624179464, -0.4636709090900349, -0.5010934449818039, -0.5313458960845393, -0.5860430438601117, -0.581774335389129, -0.5204636183856053, -0.5356327211198375, -0.5112875555750709, -0.5013658047204446, -0.49578552862762415, -0.49115721265637846, -0.5115968694882933, -0.5231403738230713, -0.5678609532513735, -0.6409862931551177, -0.6285367427421912, -0.6943604121025274, -0.6811340329326511, -0.6797117904586414, -0.6765918898646268, -0.6752955323606209, -0.6595766612733962, -0.6360929277453028, -0.7256078640550477, -0.7722081113528517, -0.7738942692297494, -0.7874608411075178, -0.820359857765061, -0.8339035836379198, -0.8090281834501283, -0.8972156839294725, -0.8769551617887195, -0.9718818145545361, -1.07035454452413, -1.0542864837147943, -1.0528901087255937, -1.0068760018027894, -1.0032594508034214, -0.9989736057902869, -0.9968959966499917, -1.0910834153046611, -1.0882321559161565, -1.1031649987480936, -1.1597887303315388, -1.1211201565334337, -1.0809944032314687, -1.044897401597521, -1.0322964072296985, -1.0292751239127143, -1.029897398052015, -1.0101845521085349, -0.9865580172970189, -0.9441188707113619, -0.9954825787717188, -1.0224230764862048, -1.1018907437376602, -1.1822384373799553, -1.1985531865634063, -1.2349561520979189, -1.242865120478147, -1.2853081846309555, -1.2799937659597616, -1.2109218982808703, -1.187761974006033, -1.1537835658762705, -1.0679110879414468, -1.09480710430468, -1.1354774837230703, -1.1268362763791895, -1.161931117944632, -1.1298421489667634, -1.0776067634397053, -1.07382472206008, -1.0928711607221893, -1.1448488821156755, -1.1189742792693067, -1.1594308178450863, -1.22618251640877, -1.1844444891882773, -1.1968741118439232, -1.2146252510686608, -1.1593863464950207, -1.1493477163919075, -1.1370151553887458, -1.1466820578990575, -1.1171355849823579, -1.1308753587484923, -1.0964597653345782, -1.1558647960191493, -1.1225841227769824, -1.1336001630456214, -1.1238204898075816, -1.1420267397573318, -1.0236587142362445, -1.105155676166193, -0.9774224915362889, -1.0047815777183464, -1.0794670715187134, -1.108726197483768, -1.0704247926031236, -1.036930397588104, -1.0444646025775886, -1.0077166247506577, -1.0377799664329739, -1.0292676322505436, -1.0765754913101555, -1.075948605128558, -1.0479797339108217, -1.0380163375624618, -1.0251616515265358, -1.0396548572930608, -1.0188979474115532, -1.135457511459732, -1.0891258893128697, -1.084378786460311, -1.0355951034607271, -1.1192140139476547, -1.14956260647884, -1.2208955990646448, -1.2152808209924768, -1.2192162503137156, -1.18282464580074, -1.175084681234173, -1.155064179867983, -1.0964050945884285, -1.0107419585408208, -1.026332035846626, -1.081337399489592, -1.1122987003561244, -1.1231452449443076, -1.0885764873245116, -1.1020490808079058, -1.0625968389204143, -1.029105743470462, -0.9831980387214188, -0.9425972303877055, -0.9009594817108103, -0.857703440765427, -0.8527866045605238, -0.8597112255675187, -0.8914863590973867, -0.8519136981048864, -0.7963787602727019, -0.812261147746446, -0.8115112078470074, -0.7438263732756984, -0.7199696796818825, -0.6947664607405484, -0.7665688284442496, -0.8181281257899071, -0.7873549223941052, -0.8823341822621321, -0.9438284745111531, -0.9513753619307616, -0.9814342445023938, -0.9303011985438279, -0.94577861067936, -1.0084938695015657, -0.9992433430164122, -1.0560853876643925, -1.0864335994141023, -1.1486261039968868, -1.2081352749869638, -1.2353973479011477, -1.2489965953446267, -1.2098983129647254, -1.1476717997334158, -1.1420494787973619, -1.1224435708059077, -1.0663664496114187, -1.1288377578765576, -1.1301225439330453, -1.1262737454577023, -1.139024804840993, -1.151869660418847, -1.137797517319158, -1.1532046899321335, -1.148451690361505, -1.229141874197162, -1.256748581631689, -1.2836293479181113, -1.2587477478374451, -1.2400296048780861, -1.2189709445118635, -1.1581235403067087, -1.1621428744597035, -1.094161913872111, -1.0429342091163645, -1.0631074033929413, -1.1108171710604229, -1.0794914594577603, -1.0418531691361956, -0.9862779095257316, -0.9991671942318752, -0.9949780459313562, -1.0160958666317086, -1.0278114820279167, -1.0427381322463376, -1.0998384332926538, -1.0120780181255677, -1.0188886937917478, -1.0401417354625657, -1.0416713200164873, -0.9680215919905524, -0.9765137860485781, -0.9642861956971824, -0.9621276053755377, -1.025818189421496, -1.0596338398364387, -1.1307943848459636, -1.110796823063919, -1.1672285289196909, -1.084414569497231, -1.1225650604557298, -1.0646737228226069, -1.0347787216098543, -1.0762520096150527, -1.0771145215418976, -1.0410837706826768, -1.0188305811650875, -1.063202145395053, -1.0692318510972205, -0.9979857846393829, -0.9438765376948821, -0.945036005998963, -0.9050156839092561, -0.9478371959673402, -0.8858599483609743, -0.8152546990104779, -0.8770988866152533, -0.952796449617216, -0.9667837968546813, -0.9655690233338666, -0.9706392834447174, -0.9482802807211642, -0.9344504658457702, -0.9766511249828957, -0.9854890761742416, -0.9137043366741763, -0.8856298568584454, -0.925828334146595, -0.929147258080917, -0.9812772809397502, -0.9374536465237151, -0.9186126027071848, -0.9268072246126471, -0.945259546999011, -0.9159977279434404, -0.9907071180324274, -0.9787738625895854, -1.0186548988548203, -0.9635860128085334, -1.0414646023416354, -1.1038494845258446, -1.0742562076813977, -1.0792109329979391, -1.0875706069308095, -1.127466400748266, -1.1934529321910607, -1.1812740564969817, -1.165894733530593, -1.1665147705923122, -1.1702235297208574, -1.153612587383815, -1.1202303868551398, -1.0692923603052618, -1.0461449690857314, -1.0072737954346402, -1.0014645211851867, -0.9822641284697126, -1.040150256549644, -0.9687890160519066, -1.0021665664938444, -1.0372805306521904, -1.1149883695363059, -1.1308294577880669, -1.121104523732741, -1.12533314686502, -1.1560310968919791, -1.1848877050639106, -1.1683814545303697, -1.2700786692405035, -1.2208004751093726, -1.2176444137163407, -1.2309470307036428, -1.2782525089559709, -1.322497292457922, -1.293033375518169, -1.3127099032822227, -1.2651596682371216, -1.1952684902923416, -1.1988883049592096, -1.2674478974337915, -1.2552098691374098, -1.1588912441558485, -1.2057759054751551, -1.174949730537773, -1.1767873563870312, -1.21414801205094, -1.207890281836745, -1.2174491686905777, -1.158159513132555, -1.1788173059843081, -1.2176478717535568, -1.1855438424650113, -1.227800054975371, -1.2160594602040602, -1.2335146172086298, -1.2420393155292069, -1.3025907743729677, -1.2944670792767299, -1.2869978147689396, -1.2722004142109005, -1.3109981293087838, -1.2616922474329808, -1.2102227190556025, -1.204581432313954, -1.2194453735238602, -1.0978939408378963, -1.1351658659074448, -1.1067499422618343, -1.1262650484464864, -1.1317987164644656, -1.1127238903976198, -1.1505226987512918, -1.158720783226332, -1.092434995760462, -1.0947172642279732, -1.179252954597416, -1.2048489403757128, -1.1679492951617163, -1.170834402935205, -1.195773009056463, -1.2345741583852532, -1.2725547760578146, -1.2928429003824196, -1.2623043362249535, -1.2051897388010524, -1.262586969315086, -1.2073278280467832, -1.1261287436947454, -1.0955077000585003, -1.052021536151732, -1.0022064628584961, -1.033532530600871, -1.0347210186721443, -0.9884234215736134, -0.9413182243925488, -0.9284282733716457, -0.9477646469759099, -0.9134676311209888, -0.884786011293342, -0.8784096225563376, -0.831351568213223, -0.8618361406660262, -0.8481327309489115, -0.8394636626023618, -0.7939801668805447, -0.8670938349916382, -0.8673597289091626, -0.9191148842838216, -0.8281469694235244, -0.9098099601347638, -0.9358843914553995, -0.9462377903445135, -0.940818952200454, -0.9851053032858392, -0.8968293387616856, -0.8869001231247056, -0.8417706973811702, -0.9122904380659579, -0.9481416042955915, -0.9473127910228973, -0.9370171110254749, -0.9329896138438644, -0.9449252028067109, -0.958244707457496, -1.0093515553968915, -0.9814148303981794, -1.0218283879083225, -1.0928887340008377, -1.1181615808659437, -1.1313074241778511, -1.2501593195812088, -1.2339074032228035, -1.1750672720382833, -1.171953856779172, -1.1445247669030107, -1.1090254019647712, -1.1340371697428777, -1.1481385355759826, -1.1562912556585339, -1.1558977770596062, -1.1226265479278499, -1.070522071261563, -1.0849664698827048, -1.081534583693903, -1.1318717632910344, -1.05503330926757, -1.0197534878159074, -1.001120813958739, -0.9916340483332979, -0.9532669663361031, -0.9988343875226204, -0.9716819111016668, -0.9046622394936008, -0.8614795347962347, -0.8182059351717818, -0.8212263580097147, -0.8243838045376761, -0.8668038168345692, -0.8423492519712173, -0.8650076288688311, -0.910723423446497, -0.9101834623413404, -0.9339488837538185, -0.9430184695146596, -0.9273801292390467, -0.8945481740944199, -0.8867490714121561, -0.9320342749237337, -0.9644909318562912, -1.0221867551713701, -0.9594073187494196, -0.9492545222338186, -0.9489533836839098, -0.9228727232575508, -0.8436059951351019, -0.8881343766020409, -0.8561467560927186, -0.8355586415083974, -0.8542938236910534, -0.8979706117682523, -0.8562044195239238, -0.8854558728168977, -0.8673762764686991, -0.8882057870857704, -0.8874856174063697, -0.9143596450845203, -0.8995409498980875, -0.8390605196758556, -0.7826914236187484, -0.7769560046615535, -0.733491479524592, -0.791691130179538, -0.8067050538599988, -0.7913271827048592, -0.7922052923371126, -0.7671903691210255, -0.7717531971040922, -0.835966911395255, -0.8870281064632202, -0.8676242648958369, -0.8712301345024859, -0.890468808326073, -0.8193803308672839, -0.8054892669732264, -0.7890767857104083, -0.8314865718024884, -0.8641654993803145, -0.8650248488227077, -0.8588570375585395, -0.8942027819148345, -0.923099542374465, -0.9207879977943185, -0.9458836099807677, -0.9672930369399005, -0.8797496685320086, -0.8537686466619812, -0.8891997590778602, -0.9896491189247828, -0.9755607813564146, -0.9227063896293867, -0.8931916536296082, -0.9038985999602878, -0.9341908981149353, -0.9222876701417821, -0.9872090305928164, -0.9621833628960178, -1.0019073297771426, -0.960561396382779, -0.9975490372201145, -1.0430480832218612, -1.0835690320324205, -1.0573599894844428, -1.14637066937743, -1.1640553929609454, -1.133694047382166, -1.0781467700843694, -1.0611476473364487, -0.9646368343519683, -0.9591973531634077, -0.9473420129007328, -0.98066488474476, -1.021374543481698, -0.9734144486846491, -0.8979809939795372, -0.8808344429576926, -0.873050678543918, -0.8554809500709993, -0.8989962505298763, -0.9004485252466196, -0.8752486707923641, -0.8434082094134453, -0.836514180146001, -0.8988558881230198, -0.9169264395035391, -0.8530203376701511, -0.8636656581232506, -0.854571314910068, -0.8328979453284479, -0.8715143250502202, -0.8114262393959811, -0.8115498204371536, -0.7611183801407292, -0.7649457373224381, -0.7655709267511658, -0.7213505634707003, -0.7269428297284426, -0.7312150678575019, -0.7251944705200888, -0.7704112647664345, -0.8689012311836688, -0.8000810607544262, -0.8412194937929558, -0.8788798445523673, -0.9246197428387172, -0.9097852520385274, -0.8987796792445417, -0.7945054633766815, -0.7439310248025012, -0.7967041691288002, -0.8661122991780242, -0.9342944752809337, -0.9773942216556798, -0.9463840550781891, -0.974185687204703, -1.021101546320873, -1.0478611344286077, -1.035048381289527, -1.0401037860649267, -1.0946401632004352, -1.1147754522647717, -1.1516769892986438, -1.1605704879526515, -1.1270828267938513, -1.218903860303515, -1.239100321407154, -1.175401799998777, -1.2182421069756668, -1.2188156874849878, -1.264411480358332, -1.1716139824495841, -1.1818920267283528, -1.2445919867022948, -1.2101671860153524, -1.2152532632890116, -1.196609894138471, -1.1825388688299214, -1.1700500370833347, -1.1559277185994732, -1.1245883014017979, -1.1425719054589807, -1.0871908299201147, -1.1325015782134933, -1.1218584227563746, -1.1282225410860771, -1.076230405675912, -0.9923524839357784, -1.033468316149694, -1.0003869540018613, -0.9908001569458873, -0.9640977167798636, -0.9604539819372441, -0.9935400967891568, -0.867583013320608, -0.817691562021569, -0.8329941510575137, -0.8038461746291201, -0.813842271740522, -0.8478759543035297, -0.8293329045079529, -0.8690404108021378, -0.8528567338877461, -0.8884908855761633, -0.8295956476207513, -0.8874524258022487, -0.8835424392789355, -0.8563314796921121, -0.8672716725121635, -1.008614958347583, -0.9805991982723593, -0.9841362818383416, -0.9294636572557545, -0.9251046642178659, -0.929889905994344, -0.8932597385054051, -0.8736219100181163, -0.8474646853493373, -0.8585812629843202, -0.925475761107469, -0.9685318854087153, -0.9795046465417336, -0.8947638319704906, -0.8730208562202185, -0.8247453322232873, -0.8622467688484496, -0.9208041722528345, -0.8758241430400426, -0.8791666279080963, -0.8925946783040988, -0.8869755781008545, -0.8721448838355917, -0.9038594910818669, -0.8781708594952219, -0.9065224167789674, -0.9980568881651717, -0.9383393875747832, -0.9361863081271014, -0.9373811269833797, -0.9360379498168219, -0.9431856334624884, -0.8980528115314, -0.9136028847017209, -0.9674148028997325, -0.973182589490393, -0.9959054772583101, -0.983212208866217, -0.9831008076354975, -1.0252869015885573, -1.0044028987123619, -0.9176575315461195, -0.9395131841531984, -0.9544267769610465, -0.9405692286296043, -0.9658666223237097, -1.0017127797514045, -0.9717203915411926, -0.8841443126532743, -0.9114079406429765, -0.9303592515913204, -0.8761841035751258, -0.9109906009758533, -0.8762987108900213, -0.94991525154101, -0.8726190788975937, -0.9144101773171657, -0.9237760911769276, -0.9014882308142208, -0.9737118410529743, -0.9849153828151337, -1.0176505611937785, -1.0191130117471496, -0.996957609198457, -1.0385614729899613, -1.0426960813143697, -1.0512502322666102, -1.05518615180538, -1.05623359508105, -1.0489092611268336, -1.0684000716518356, -1.0200877820141532, -1.1289989306367925, -1.0827713531228098, -1.0722881961548334, -1.1092205417881835, -1.0976659813966094, -1.1215978523399246, -1.189560460233843, -1.1604289377065, -1.190986373750192, -1.257090832285682, -1.2423103783792266, -1.2116374032877644, -1.2619961858264144, -1.2967892901490843, -1.2628638661223925, -1.2249840601194868, -1.2274456619272034, -1.2090676218511136, -1.1117679871228248, -1.1119443626238676, -1.0610550858824987, -1.0806103315549234, -1.0921420480353246, -1.0941704373212326, -1.0637901786139745, -1.0159281528991566, -0.975226521875027, -0.87958574047328, -0.8771426708646719, -0.8762650649260906, -0.843042232721437, -0.7669719867400193, -0.7900068192465703, -0.7566477445088265, -0.7470030088840781, -0.7953899839131565, -0.7910414643124606, -0.7799187163226056, -0.7656635704535394, -0.7815574724614652, -0.834551660226461, -0.8269349958324962, -0.8154088183062218, -0.8043252838844724, -0.8542767713171668, -0.8489592846098052, -0.8329848710192317, -0.8803550402990361, -0.9185588039737675, -0.9222784782111239, -0.9589611687811163, -0.9665240168491204, -0.9778932843930417, -1.03370192090635, -1.0578396099154181, -1.034504347819517, -1.0812252062203769, -1.0006539587848735, -1.043740823323288, -1.0301274195085273, -0.9993927349524436, -1.038411190130375, -1.0548321290201679, -1.0962651335292484, -1.1482199030392948, -1.1497128478358545, -1.14783725214308, -1.1090475143857108, -1.067832646417821, -1.0702073767627367, -1.022874829842696, -1.1083818370538443, -1.088529781321952, -1.0737673416736944, -1.0788666991911606, -1.0767297377352607, -1.0436737566225056, -1.0416127561204775, -1.0634846188788392, -1.0644425204363963, -1.1510648790174667, -1.126206546870702, -1.1802430777305315, -1.1787772930605023, -1.2028607587094349, -1.2412153136651491, -1.2589161601704102, -1.2988922080602452, -1.3194739774502828, -1.352161018386088, -1.4091596580095906, -1.4031350537794, -1.416093049805364, -1.42269903635144, -1.4436053219956164, -1.4194646572693168, -1.402681669162729, -1.4455435245446646, -1.4280853942211362, -1.4507719691415124, -1.4833649426504651, -1.487619083836153, -1.5252297309596776, -1.4955964904468044, -1.483455821151117, -1.4816721787923988, -1.4301599452884188, -1.3882470980168011, -1.4589445975981792, -1.4722348458373944, -1.4319488629415236, -1.408936799490354, -1.3978472937528101, -1.327126619046791, -1.2828839591537715, -1.2626005429147427, -1.2912291743339925, -1.263012871535116, -1.2661804999995636, -1.2215204361910472, -1.2092205635400692, -1.184548905254418, -1.2466031581945283, -1.2750154271837102, -1.296024570232335, -1.3018024655073275, -1.294690640545391, -1.2977569965572737, -1.2964785078183454, -1.2597228150731399, -1.2510557965903384, -1.1977190465933854, -1.2254175466526456, -1.2434029418638315, -1.11069499952329, -1.0936234904247013, -1.0037488524861324, -1.0098157455483667, -0.9907979602933361, -1.0000071389553622, -1.0285891925635517, -1.017989143773567, -0.9709614526396869, -0.9581430151191286, -1.033694772001117, -1.04950236384684, -1.1499415771407389, -1.138585193200072, -1.0912523280413335, -1.0312811831230362, -1.0152453537114092, -0.9907496163706172, -0.9160363131174497, -0.9348213373712769, -0.9888951597531563, -1.0370964719441214, -0.9782667044517122, -1.0426602335309905, -1.0247542979466553, -1.048610748775707, -1.0271162603407518, -0.9728973921095301, -1.0239575591409733, -1.0201800071485034, -1.070342938561734, -1.0310471358986422, -1.0591234020961868, -1.0442093494416194, -1.0331067516981085, -1.1013257296130161, -1.0540165863652882, -1.016067385503574, -1.0309646236022463, -1.0711036580453959, -1.0687788109401815, -1.057775937876178, -1.0584688781953309, -1.0163787415941938, -0.9823302061559918, -1.0147831573940405, -0.991536062359622, -0.9660291019587064, -0.908315910088115, -0.9112340136944213, -0.9840572928553689, -1.0526839219812802, -1.0487888820904436, -1.018585882455161, -0.9972497041816525, -0.9184374102630815, -0.9043631024088175, -0.9338093274793539, -0.9110649745465185, -0.9140490659619823, -0.903194999182267, -0.8541194478123496, -0.805111213124048, -0.8197165192706077, -0.8208865127657456, -0.891306113790428, -0.9679378209082492, -0.8893046185670569, -0.8999095920783782, -0.8463244306300902, -0.8390459879060364, -0.8241689036247347, -0.8351898907809834, -0.7788165829927303, -0.7895637767679523, -0.8178697655923775, -0.8168028251755274, -0.7833511403429081, -0.7823876852465558, -0.7973231743516949, -0.7621671048754309, -0.8305128344483892, -0.860428683274125, -0.9005643647417978, -0.9305646199442746, -0.9668407348590141, -0.9363845775524146, -0.9759133600629714, -0.9951121186985936, -1.0352175269164892, -0.9798792626964412, -0.9048182095055758, -0.916225495583642, -0.9576706991363407, -0.8398247181626181, -0.8229781244483088, -0.8004086240811691, -0.8283918183269957, -0.7935054862236532, -0.7437361539603554, -0.6883629627806171, -0.7003981951359262, -0.6689603116795263, -0.6394488348178172, -0.614226199579417, -0.6176176211908821, -0.6016773230200203, -0.5561040357496455, -0.5555618044700693, -0.5429861138026943, -0.554552503951356, -0.5803630289712224, -0.5306664284709623, -0.5136137601668612, -0.49694847774077244, -0.4485714171333614, -0.453221754896474, -0.486525431908972, -0.4619490503358955, -0.5008437824957152, -0.5004991782709661, -0.5016718554463654, -0.5145070969350437, -0.4528463024013522, -0.46817099486482483, -0.40966841613433974, -0.4263717986763183, -0.392901479247903, -0.4029664905033831, -0.40570442598236944, -0.4399844667446409, -0.4747404153243067, -0.5492391574746142, -0.5476741178117996, -0.5025801787050883, -0.5291970292769024, -0.5380745648971623, -0.5810947178208408, -0.5801222551470768, -0.5917442398327131, -0.7171903618745757, -0.7245082663815374, -0.6453055121638769, -0.7356063106336725, -0.8015829036838648, -0.8483954803601386, -0.7881026734658679, -0.805600187574793, -0.7552916660951817, -0.6878670251175618, -0.7338442175966808, -0.6378353276810671, -0.6062693339052767, -0.5999431586294549, -0.6540261529553771, -0.6542852360716938, -0.7067360146730943, -0.8207407301799783, -0.8043720093381659, -0.7051968095463232, -0.6310900476934976, -0.6505353553943146, -0.6742030576799697, -0.725603969348836, -0.7838819107287469, -0.7872457921642342, -0.7584277135517888, -0.7165863572622151, -0.7655496186549602, -0.8022345444540023, -0.7636321387505531, -0.7816750532789632, -0.8262100271255958, -0.8620545787494257, -0.8628524592631595, -0.8452028468157099, -0.8275582888094336, -0.8983663897303416 ]
99
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Try to shift one time series by a certain number of steps and check if it looks the same as the other time series despite the scale difference. If they are lagged versions, they should look very similar in general after the shift.
Causality Analysis
Granger Causality
474
null
Are the given two time series likely to have the same underlying distribution?
[ "No, they have different underlying distribution", "Yes, they have the same underlying distribution" ]
No, they have different underlying distribution
binary
[ -1.7995160108432167, -1.185604399023081, -0.23225738469939994, 0.7203266402906026, 1.0229464836532935, 0.1657576806971829, -2.0931437128967634, -1.492515995211597, -1.339386276160937, -1.9519006929747111, -2.3110057405435467, -2.956074524980093, -4.686285293175192, -3.8973686114270585, -4.261403611371432, -4.838881629010321, -4.630616184575376, -6.14132680095439, -5.494460030777855, -5.672627397395117, -4.880253823265929, -3.944385041130367, -3.426645711770537, -3.7294503518741045, -2.889770038231465, -3.691838067420287, -3.079218985476874, -2.109212485089292, -1.8127299040783844, -0.8528597824064801, 0.8989411569754437, 0.27012628802463856, 0.2911444539223007, 1.6313302145624609, 0.680431598762904, 1.7269229008058349, 1.0861184806087836, -0.5135785641651502, -1.9042854114195413, 0.3328647726584316, -0.006950974528932997, -2.3075602733647775, -1.6550214309857516, -0.5997334763825642, 0.9860856953177437, -1.4830404940259183, 0.3046790648044962, 0.023668870914470425, -0.8464997017269743, -0.10811221284923166, 0.6481005538911367, 0.43104778907776886, 1.0769837850064643, 0.5065702217564942, 0.08768848576667392, 0.45593612896069363, 0.7855828266384358, 0.9191391662387451, -0.10418922054837007, -0.19728673564159754, -0.2489714074502235, 0.6311681760940109, 2.0046837476688264, 2.979787744162021, 3.4303026961892003, 2.9059548433318194, -0.5448073611452467, -0.9415503499133215, -1.5775984232376774, -0.5968701556335361, -0.7724708692264324, 0.5391182761081277, -1.3128727850258808, -1.6990850014599403, -2.196419734852533, -2.661307359762742, -0.9894999994538841, 0.780332841556517, 0.9307498506171543, 0.5718803587926575, 0.6456177376845368, 0.8407529650139633, 0.3086330160914798, 0.23058644769907607, 2.004897870140433, 2.2049756953573594, 2.295168498394579, 2.6544757500880873, 4.009826005067353, 3.8101874933418545, 4.136332710142282, 4.314588466505, 4.389256737334153, 1.4963837979739623, 1.2730100616952265, 1.1510030081275842, -0.2123917399972617, 0.4407388792385607, 0.19918721578663207, -0.3667934432438372, 0.052763251476348416, -0.39612800006093285, -2.6986920429713575, -3.5816712964108115, -1.896584784158034, -1.926117844066611, -1.6798607994815151, 0.11722923967575585, 1.4930416524961798, 1.0612758348273448, 1.5249800958729391, 0.20514704058984395, -0.8627182857154865, -0.43313659856343173, -0.15674274301028238, -1.015780277347624, -0.15378948544371793, 1.3632880202433593, 0.717141549707028, 1.0719749252456177, 1.66412542740402, 3.5725720645630763, 4.575507529278871, 3.2922108500531806, 2.957319403396357, 1.518293086643161, 2.168012961022472, 3.8651325192763357, 2.842621178102312, 0.682660663504815, 1.2053184212879937, 0.2837609586806811, 0.22610488387137245, 0.9552038601593621, 1.198723300874284, 1.2752885759669623, 1.4734822713156281, 1.5580067657453671, 1.7738214407627868, 1.4054334183395372, 2.719989782026155, 1.0713475639083452, 1.1977472179620203, -0.4880560282520404, -0.46366608592168906, -1.0581880727348403, -0.34887579877865693, -0.7516930405343925, 3.0918890374048638, 3.3589010656213167, 2.907187944053467, 3.190514455240045, 4.0397006982347685, 3.820686346587723, 3.8957175314828234, 5.782480921069216, 4.3858410591727806, 1.601772420418229, -0.32530053466830344, 1.9363079478189624, 2.914313256518289, 1.5876116177647492, 3.4336395309491636, 1.3106259835534217, -0.2929700621520799, -0.5689710508453518, 0.28161008462695003, 2.1395772278809955, 1.8944141563448496, 1.4222316526897494, -0.23447480507375595, 1.1902181918632326, 2.8733412581561026, 2.8534332895228074, 2.6033425822885667, 2.3986137848979237, 3.3552054020654096, 2.240498736165697, 2.7464310667773617, 1.2542815115213615, -0.34163166650157817, 0.6494599151115235, 1.6559641808440455, 1.3823730230835163, 2.8982269716473406, 1.128704742742756, 0.31395682984150614, 0.9256575565183579, 0.8211293385187612, 1.1734220157955355, 0.17926987575756423, 0.9304819417650063, 1.9466155334035884, 1.7256205592874398, 2.1258028979286845, 2.6002035062415794, 3.218596933158385, 4.641307097635306, 5.575976476142579, 4.640205700996455, 4.671737863973593, 2.9364949637144533, 3.3032512902744577, 2.1981463217252863, 1.3891275849371079, 0.9813197187167915, -1.0889719847681478, -1.933958507972854, -0.534708993551904, 0.8194414295757406, 3.0514537802188912, 2.4906831842522514, 0.5224522459767162, 0.07859402684102446, 1.196901662384173, 2.4399994420088515, 0.5171590042934495, -1.7932265211142577, -0.6129465679398094, 2.2912207595461656, 1.808148620454446, 1.257782234281926, 1.849202334822997, 2.4466307402312193, 1.118862861100192, 1.9254288078020843, 1.039723788795572, 2.5042833777117393, 1.7189125094133648, 2.0621798284701582, 1.9792244729530182, 3.488924649832223, 4.022820722922718, 3.394284964331783, 3.4853587748179504, 2.3239340312227577, 2.1490090211964006, 3.0587301280019243, 2.045868974691098, 2.555492574477754, 3.776522459989928, 3.15856648723717, 3.0748786958954044, 2.980818743790111, 2.601545476483428, 1.9733566395840276, 3.2604528853070294, 2.7875397165618097, 1.7877589495508985, 2.083687216038131, 2.520528387883542, 3.3181178390368165, 1.4961185701185644, 2.307423391729676, 0.025349023959670786, 1.5776117543916313, 3.492059479683619, 0.744115116827376, 2.8143537496052535, 2.8076990788363156, 2.4932672721588753, 1.8801741472382918, 0.9141621669835257, 1.469200261204724, 0.6626540455486393, 1.1046121902348245, 1.8052678281554864, 2.781154204317067, 2.9407273920606105, 2.164268895901148, 2.410210486836459, 1.5548404132728981, 0.7774873522549278, 2.674124038330259, 3.230154886506351, 3.0284049447528347, 4.0397368423386535, 4.929277293549528, 5.122436211408223, 5.228812348859523, 5.25219687911144, 4.435965418482552, 4.94610933907909, 2.0795364713761058, 3.043125617596999, 2.2032417471210644, 2.952046681316442, 1.5710533714526411, 3.3566431475941236, 2.044731635493605, 0.6856867333937167, 0.1655588081003781, 1.7277818544083605, 1.6951145112377468, 3.3376631960173935, 3.146095661880743, 4.174887791025111, 4.281430405724904, 3.965362394344338, 2.5551162388071864, 2.8682009853548474, 0.9224376241819445, 1.550763776745468, 1.8772046448158743, -0.1597690291225854, 3.55863155805394, 2.7430358706340776, 0.37395205403698206, 0.6405625098784332, -0.5078740047343586, 0.1308556694094915, 3.339428108420176, 3.037689885126035, 2.6498558632019256, 2.0216333585425157, 3.07716658161877, 3.5251282221693834, 4.065720797162001, 3.483765263692379, 5.562966486814091, 4.902169118050144, 5.751758748490593, 6.297067682839579, 7.926417790947595, 7.785029137854352, 6.0575064852140805, 4.773243032449117, 4.999411784508049, 4.1178020404405355, 3.0689606726874286, 3.076672256141207, 3.477107219630833, 2.643883326450333, 1.8429085399510008, 1.6467040566859508, 2.2273979692189565, 2.469702458214124, 1.9881073045305997, 1.6115010201093827, 0.9165163876335429, 1.8955685243184128, 1.7508089513609482, 2.660824259434159, 1.438462254300967, 1.8124314588575365, 3.2593480484049477, 2.6433181203300227, 2.1898870362278156, 1.9784875206801806, 2.133741054409096, 4.2844134795263145, 3.765994777578192, 4.485914078625102, 3.8742886718663945, 5.401440876018733, 5.426929530298884, 5.70618318455414, 5.039069028035243, 5.989490585065728, 7.676328464320843, 7.4189901189517, 6.3528412217106025, 6.622939309133621, 7.015136709699334, 5.58803695714682, 6.017307397136508, 6.497739859334181, 7.008982663009669, 6.511164093133185, 6.661371566986621, 3.8927871529058526, 4.038417708608911, 2.897083094459882, 3.3445585525088286, 2.913348844614484, 5.008770975204883, 3.542530670151306, 2.5033774502578363, 1.1727770954975718, 1.2306310819983457, 1.0514115420219345, 2.7264316331472576, 3.0048516194444432, 1.394772188007687, 1.9122071446600224, 0.5621695261388527, 0.3025689232111047, -0.6227673016571901, -0.005558900527220287, 1.551614573269508, 2.7677902434270973, 4.420075868525198, 5.07614526301872, 4.307895647086975, 5.3450395401300055, 4.982190280735104, 5.450264487582547, 6.645374389608712, 5.470100121677219, 6.217467574077458, 6.364509936206277, 6.506326164122312, 8.03214860669596, 7.0361949276423355, 5.312482706010365, 5.0744895771376255, 4.680696770922927, 4.984715877788558, 3.776670926439219, 4.952700122857491, 4.089232007135242, 4.056859257253255, 2.9930861175093026, 3.988502306876695, 3.6454948931921227, 3.0634300132275207, 3.7936593332662794, 3.075247066595074, 3.4416713126492726, 2.8682663771801438, 2.292504739015219, 2.5875419945701306, 2.3642012427706742, 2.745525740361882, 3.048284809214308, 2.496304449165936, 2.962811502049842, 2.413974823722454, 3.332492222264419, 3.8425308063707964, 5.779374372589815, 5.849628402964067, 5.497937726532941, 3.5287798756387136, 5.83078427851608, 6.3380306201134555, 5.832946434080342, 5.179884175693822, 4.644807069981452, 5.6031230062442265, 6.037583282706548, 4.071077520532126, 3.4336685224868195, 3.4507826644225075, 3.672871543236169, 3.6129749644220284, 6.107995367455479, 5.384823840634481, 5.3522298286201995, 3.9764313713527026, 5.675187168351835, 4.2506115253063355, 6.015716057316832, 6.981055646195993, 4.2482391653762726, 3.7935497307440356, 4.024999871106017, 2.3187661543623785, 3.5742493027261473, 3.710997263600704, 2.693420902315118, 3.88651394582641, 3.3749801256248273, 2.1908668739885617, 2.692692740678724, 1.7466141490728528, 2.33886701505283, 1.3553925647718708, 1.7526367248646846, 2.3389421461324416, 3.452841569040922, 3.555695929584475, 5.444021882095006, 4.24755509185297, 4.519205663390384, 5.444160224900221, 4.563482635352592, 4.0129912823707565, 3.613130431148774, 2.8787167317418096, 4.206677254921735, 5.850807452462063, 4.742645433210002, 4.4227381491848945, 4.4303024836697595, 4.998027522370853, 4.852759700850728, 3.3237933134493947, 2.677951007207407, 2.849722537703606, 5.028765472584353, 3.468567192970018, 3.019946025532903, 2.9458005481081067, 3.6503455409568533, 3.9870753539667305, 2.666038189377681, 3.4237697932854525, 2.1787721114978598, 2.8833677309720147, 3.951375762858967, 2.835713039400195, 2.8992331041863335, 3.6605062809193547, 1.8581671775020656, 3.3208068452257598, 4.041838335828657, 4.544523696662757, 4.651436296777632, 4.2497156578387045, 5.388669755181127, 5.209600514592894, 5.247169410905865, 2.9868530523292978, 3.8560420393413426, 4.009989391385385, 2.5407647904287014, 3.016032811942357, 4.565020147216996, 5.003051836307662, 4.304014713628017, 3.7907460378770246, 4.197239094178514, 5.311896086163613, 5.154848784055951, 4.963897021202596, 5.379994864281977, 5.134294841751141, 5.477760597884074, 5.086013839024791, 7.101379454178786, 6.827078110067825, 5.753112320986687, 5.695446880919887, 6.8350006059334545, 7.814156281672884, 6.302676712637898, 5.511802430304067, 5.953012996544247, 7.700938790146351, 8.705907596645515, 7.240097901511079, 5.9704440264464615, 6.571293368935478, 7.090210974878877, 6.711967771537398, 6.519243186474005, 6.620179319361164, 7.2097747100900555, 6.1602564702986085, 7.07827734239078, 7.213677141473986, 8.523640984622547, 8.684880979268089, 8.635687964775801, 7.70619578232293, 7.265269890504297, 6.253412188821123, 5.374755310083702, 4.097394772799378, 3.5617114159811467, 3.97862402537813, 2.9764138527844155, 1.1912971168978947, 2.4139351958016144, 2.4942232799892814, 2.554818034874922, 3.2319946211893322, 6.0510163416857985, 5.842096281585761, 6.33371936260318, 6.983539683698562, 7.78491834681804, 8.00326478544057, 9.525683215096025, 9.840475531121308, 9.308160166186445, 7.687116605765572, 6.774807783029722, 7.499397868979259, 6.951007293990894, 6.6400687896951585, 5.149266627525539, 4.320045797696191, 4.9667784967466595, 6.462298342319821, 7.007450172961959, 7.631901563938765, 8.689508604634106, 8.06799594491411, 8.03274948649669, 7.108073692727635, 7.524656326463119, 6.760928974139943, 4.168476885083584, 4.949028839349489, 6.881999411325498, 6.734391085254893, 5.565761288018478, 6.804468733870624, 7.563854957811074, 7.0211488245294404, 6.058675931965118, 7.287960673327569, 7.517023010212235, 8.303930747174775, 8.308306912535325, 7.26058890365222, 7.377256009349456, 7.632818440871238, 7.117161161605162, 6.804963773798879, 6.924768680006341, 9.038658543968053, 8.811223530345448, 7.336289106659259, 8.147436985540859, 7.011947231150747, 6.082586873220548, 5.357943600186461, 4.733527984933882, 4.626617045041147, 4.466119519478444, 5.875331602001853, 6.066036012153697, 7.1573608159488735, 5.950637336729884, 6.383709468998151, 7.808921278962955, 7.546528185203859, 6.307258979128541, 7.31938318067769, 7.351535586334293, 8.394713355349879, 8.015204990877713, 7.755946673973574, 8.507714395901656, 6.595301629334038, 7.019917890167398, 5.925018212098582, 5.347768565626046, 5.618474551322281, 5.9869723161926816, 5.009533495150528, 4.7588800493667165, 5.632456324484989, 5.52147429576195, 5.160916172546189, 3.7704512012504208, 4.687693536749768, 8.094588745815239, 6.5266470897546505, 5.922868208204915, 7.199766203931781, 7.4373336889523465, 7.233240594384504, 6.490791597139081, 6.070102484103597, 4.705097400023882, 5.043054232877306, 5.552809451258174, 6.039781007456604, 6.730088641734741, 5.467617576357874, 6.278066579356486, 5.377168673414902, 4.696465152163672, 2.7537716600127013, 1.6778754533570979, 2.848031921546845, 1.8020021857110897, 2.0294424104508852, 1.1557564328153975, 3.045848546941045, 1.0851305619087621, 2.019470373671256, 2.3594841784129876, 2.6662781237850144, 2.9237099335234675, 2.1368281969797693, 1.940887590970028, 2.1482201853550573, 2.341406593377874, 4.000331522615803, 3.3130757002479063, 4.1377045446096155, 5.209206058074555, 4.595575877290101, 5.1285152547552055, 6.237495566488756, 5.426562452260997, 6.067628646688686, 7.6210586885566025, 7.556538879410122, 7.6715033844382745, 6.694888205123506, 6.2767361020745165, 7.35395586504115, 6.887017302268036, 7.823269091064093, 8.776098397811227, 9.542746796998475, 8.696123514787086, 9.251892626627473, 9.585453584859424, 9.653111670533471, 7.385451479514816, 8.962384618412196, 9.19667526894566, 10.4838111560248, 10.082892424141583, 8.351413421530694, 8.945325474587433, 8.418589917550259, 7.0196458073463495, 6.148475296794577, 8.10428488719925, 7.383610658155875, 7.49098013603241, 7.095976437404099, 8.901327278837773, 9.022250131286318, 8.512629356562563, 6.991196076841215, 5.358163501109522, 5.211923468184604, 5.146229771996026, 6.437866292908819, 5.62542356654376, 4.697975275314353, 6.17927807310395, 5.078181889918061, 5.518694600880653, 6.046608019266173, 6.746449725359268, 6.8065210614509795, 7.345156378414615, 6.4143677587701, 5.226082282878306, 5.4206377786643465, 6.073513235677455, 4.578938535650524, 5.331559854833234, 4.138986769979146, 2.4972818060984974, 2.97423178688397, 2.1000848864486024, 1.3341798973915318, 2.532117784328599, 3.2403249080914773, 3.950256223836057, 6.283651037287852, 6.018183762756382, 4.290383477618387, 2.4748606471636356, 2.973088580785622, 4.602323219448167, 4.223314553712004, 3.285971466081635, 5.646187280752437, 6.701988773035684, 5.6679720024218785, 6.2338605317006035, 6.350933169027825, 4.906776740007569, 6.487944215797607, 5.455741118767506, 4.406606847530962, 4.498026022976385, 6.057590194945898, 4.706069356836857, 5.539905224082767, 6.757453846887541, 6.048732572072352, 8.286019671137408, 8.70201920655105, 9.489014789308179, 9.61152591080796, 9.511126806226967, 10.290096937411013, 10.64773245856297, 9.747107426849583, 8.192973622344986, 8.62288106960266, 9.419391751446026, 9.872676599466134, 10.972582284923782, 10.67220162180632, 10.081981583955784, 9.372721542373226, 9.775162352993267, 10.31242587055846, 9.59523907654957, 12.455650014424414, 10.660009431453435, 12.07353249775759, 10.109172972306201, 9.825050189171328, 9.69701988458716, 8.171304532757517, 6.009991644757515, 5.9942551335313965, 5.429108381560453, 6.949896255242295, 7.084762511607533, 5.708530810034682, 6.512182522458775, 6.804890835588932, 6.553650920849146, 6.392015892350686, 4.322384043486225, 5.3753909536239695, 6.761368505840029, 4.484594433431516, 5.2382832201678475, 4.196379401900785, 6.572443963495038, 7.021107146084023, 8.818296435228456, 7.536933396618108, 6.618787071979253, 7.857561113254207, 8.110474077672254, 8.087256534773, 8.498263181281633, 6.742612315628926, 5.9697781038227005, 7.800159185471148, 7.600421157729466, 7.154534428944279, 7.315399085291825, 7.868704321549548, 6.619973164662865, 7.975791802931589, 7.88757465012018, 8.282518312835498, 7.662703037416084, 7.705189851409056, 6.49562480081675, 6.459156143352128, 8.384692741112499, 8.21825853321318, 7.986229436000499, 6.61399039047577, 5.990893393181036, 8.70290035513427, 7.664573218000363, 8.321796776178992, 8.944400165916772, 7.926997907653491, 7.454441098673059, 8.535875025587453, 8.370691859686957, 7.658229067994814, 8.143730992989436, 7.9187422009267685, 8.950386269517526, 7.489330878383226, 6.543028026616165, 7.590360734888054, 7.098771853786892, 8.861562622526769, 7.797516286747391, 6.358094124057927, 6.322676878101918, 6.8322840720538025, 6.706233421301524, 7.135130531812652, 7.731153125598829, 7.124605251082741, 9.945797547380698, 11.039830890983561, 11.25818929588995, 9.280383607119926, 7.636228022605053, 7.545520723673827, 7.774629670676137, 7.2940704085408345, 8.574676831702874, 9.431376488648976, 8.98038037145477, 8.622732905104503, 10.907137413936617, 8.328823282906045, 10.402406664544978, 9.25497955635325, 10.86980389807674, 10.370623810608995, 9.589987161843789, 9.427668632386503, 9.345568083596584, 9.604835613139482, 9.636210970677649, 8.728222768783148, 9.030600597154848, 9.75949317176431, 9.73737020570352, 8.643840998264384, 7.066115004510605, 6.725936957932166, 8.275322074963942, 8.253657030285202, 9.251899252387723, 8.853450441138033, 8.070668009888292, 9.737116508507034, 9.633336669344446, 8.523129790216503, 9.619873777549651, 10.066743283986392, 9.50381078711201, 7.801513206841716, 8.731707405837614, 8.160155250938995, 8.729836961166713, 6.351278313502052, 6.580086355050662, 6.340478794327068, 7.312967251108162, 6.115661515276602, 5.471204853303896, 6.552948707174471, 8.073104046042493, 8.302814925743602, 9.872986881928576, 11.071014483314864, 11.630861069453612, 12.343087806813333, 12.658503888748994, 9.11176886123839, 8.417729680458324, 7.978486742688667, 9.263392307098009, 9.016482440703234, 8.139365875002248, 8.01945978034022, 9.233506915044932, 8.812966723526262, 9.15821575371445, 9.092655228040014, 9.606197773898844, 10.103474387822668, 9.46043627358714, 9.604531736085335, 11.41296700029605, 9.433977674474386, 8.70618173169194, 9.132271920052332, 10.50360776879263, 10.261685274042524, 8.98222738016338, 9.71357610273242, 9.365238867108205, 8.588144160895524, 11.424960364571112, 11.990861841715258, 11.657007611977576, 10.458030062396576, 10.812902284934173, 8.07198505172813, 7.770727353431572, 8.109209321482403, 8.76147600482972, 11.641056238762435, 10.960925161588872, 10.87106011332802, 8.659954105096837, 8.44649572855005, 7.643543401295017, 8.056467351249308, 8.545615039466815, 9.63800769665046, 11.3756046518108, 10.234887231390182, 9.746766936328195, 9.549421969176118, 10.244804710714293, 7.732077464641141, 6.7651733977572155, 8.18073402741649, 8.50596816957227, 8.925067228012832, 8.895303803581873, 9.421068068705543, 8.811219492331919, 9.074140141578882, 9.782431958704429, 8.991911520081917, 8.013976505288076, 9.963231656104035, 8.327685035141299, 8.599518376976505, 10.168506747965514, 10.400176603082206, 9.552233884284265, 9.123404513220159, 8.9043096232287, 8.926075614209093, 8.466192605588969, 9.440944900513761, 9.45582446977425, 8.025082982507648, 8.898326190645736, 8.17905773321328, 9.676410822130245, 10.324977793654988, 9.723804911108855, 8.414784053532122, 8.496542161163763, 8.16894037273711, 7.599511385852844, 8.78826695981114, 9.077493906035263, 9.03259727882242, 7.868324003744123, 8.329816048289462, 8.974631100778494, 9.265777224043466, 8.108876722060764, 8.800291825109026, 7.933869229931025, 8.917710147934669, 11.25407485961951, 11.519593150598157 ]
[ -0.19596477731715733, 0.04809923976359062, -0.060685371321369544, -0.34495465982417395, 0.041504763473782014, -0.05099347235261885, -0.17370214649879498, -0.18330024080873625, -0.1692136997692815, -0.07449720981535472, -0.2337702368108524, -0.04193347209966147, -0.007784301227045806, 0.018380137340271198, 0.13633491838367345, -0.0769405041855738, -0.10106564502156795, -0.24134123137857771, -0.07884968157842093, -0.005001377175826646, -0.3231684832074221, -0.15330065669972157, -0.07862729881221697, -0.05648436240709229, -0.3200226017968679, -0.32330833715846574, -0.1831463438571599, -0.21751026751185898, -0.6461737308056958, -0.32221920753832867, -0.16824914003268904, -0.31175964686161556, -0.32583350365772773, -0.3061088079813597, -0.1781974994842265, -0.15199137593679188, -0.16965321974381564, -0.1602016514833936, -0.23762412894824986, -0.042061997855616984, -0.27109984167576345, -0.22316806672702136, -0.25490032978880117, -0.1335421625447276, -0.013106461509753836, -0.21385983318204793, -0.2657386370637654, -0.29183063110388563, -0.18886199241672783, -0.0965273474313387, -0.022203123353551166, 0.06846596310645599, -0.09447872518490025, -0.04835470125294191, 0.03605761708596952, 0.17997992347935182, -0.0868103092520892, 0.08158436869119834, 0.020499081391391442, 0.1440975743290522, 0.2219058166658911, 0.20870444921068132, 0.15628195480501733, 0.3110851064162078, 0.33772607032023017, 0.42556761344069405, 0.48311095269141013, 0.3776286415248997, 0.22512102253977684, 0.16106512158963132, 0.19568062583737703, 0.08649953153358053, 0.11592968291039757, 0.14235528776885317, 0.19205566754210177, 0.20346658611044555, 0.08107839821533515, 0.14423223022321066, 0.3080655460957926, 0.10768856216940106, 0.1001216817719652, 0.26251080620011047, 0.2751038536810255, 0.17198659902808433, 0.4103082504131705, 0.2685745980919625, 0.062476746271415064, 0.03576207764088475, -0.08162283453030289, -0.12675330928691447, -0.0251917055959283, -0.002219380119371145, 0.07722202975872498, -0.01807532786705398, -0.17918095486455007, -0.24874089103357566, 0.016828073837982543, -0.04357002247180672, 0.04883318573879701, -0.13498025604373878, -0.0240926282000953, 0.10306815654708505, -0.13963588197764182, -0.10512924262030199, 0.0814139565906662, 0.017234770578130984, -0.3381027865469819, -0.2265281015648037, -0.1489985591114448, -0.31879995633649566, -0.30223326694849134, -0.28397084122498367, -0.3661969816732942, -0.3269919707581981, -0.19802471115330816, -0.39823550731478097, -0.36399864546224014, -0.17131003796571687, -0.5384952238787715, -0.6297177356674591, -0.524039232587096, -0.5405709451864728, -0.4412512893323268, -0.338262032901067, -0.4410730430285401, -0.5251873542776622, -0.5286921495295724, -0.2635703288037367, -0.3091574227950701, -0.13933669521355213, -0.29875438992753317, -0.4097898681874162, -0.3094323451639346, -0.3717407787637802, -0.22251837201770128, -0.281984837200075, -0.343165578700943, -0.4786174456807547, -0.37681328048848683, -0.31992799274526057, -0.6052216247831024, -0.6094707990920107, -0.5274634400178402, -0.5517807978388354, -0.3363303455795548, -0.5491663862464814, -0.3878841228972142, -0.29473884888569873, -0.28654214629226793, -0.191473992324592, -0.06100753853508695, -0.3420699389710667, -0.383393474297031, -0.375775934929241, -0.46176153397768466, -0.22864852520484122, -0.5078535972089955, -0.5192162985311111, -0.519478538110424, -0.5510060229337831, -0.508798065500051, -0.6518152703141391, -0.669535592731966, -0.5720405216831715, -0.785739141214496, -0.7628749433085008, -0.8135684112570848, -0.8752557749907085, -0.8418464413718332, -0.7734250930875631, -0.8000078798362005, -0.9453676712156353, -0.6209650673702644, -0.9766125396219338, -0.6949104058377986, -1.0201167924837777, -1.0826174503918076, -1.0159046725857075, -1.2123153268222984, -1.0994114929185468, -1.1473790815384481, -1.2660823977690832, -1.2723385887693641, -1.0479886246717536, -1.2173607777087996, -1.2519073709041837, -1.2250304728366603, -1.2700664977413827, -1.092376920564327, -1.2911607799011648, -1.3686119822888874, -1.4632029544216134, -1.2018545768195077, -1.1836945020021192, -1.1345339911894672, -0.9963123985052608, -1.224677749739368, -1.1017455576396857, -1.1619471049353938, -1.1978033828939767, -1.340338058704157, -1.2154629576731266, -1.3541401684477712, -1.2167087353552806, -1.2061596256628082, -1.3984424834852403, -1.4975845161950985, -1.4502221736185048, -1.4160054887685527, -1.2450456820481097, -1.3909002678324627, -1.7278775313214483, -1.5396458257104928, -1.731890533286601, -1.6204401395931893, -1.7101120024300174, -1.697527533580413, -1.8812304369764035, -1.8929572079901118, -1.8722592524770643, -1.5812664196213397, -1.8242709733234719, -1.6579328707369223, -1.665165083931392, -1.7721563150670083, -1.6544493614084157, -1.9040775708395175, -1.8514100631634316, -1.8249917776713458, -1.5641584415776408, -1.7325953144216064, -1.8790018370435193, -1.4956035921171278, -1.7823474518826004, -1.6792773884756809, -1.834797902109607, -1.853349878833538, -1.9141692735134292, -1.7628877649161154, -1.8974327770532038, -1.7224129572856128, -1.9532124437529697, -1.902348621755605, -1.8145542611511505, -1.819642278856172, -1.7491190072494562, -1.8219571122067033, -1.7156095377936695, -2.0008172838702536, -2.0731112425466547, -2.010854075507593, -2.0037991697034636, -2.073308917892837, -1.8768881569099565, -2.0272760362730993, -2.0488351930470983, -1.876586161443583, -2.127771776135275, -1.9720884997852481, -1.9211153454071395, -2.064399489864514, -1.9718423081007734, -2.0722240071947753, -2.1734071060419966, -1.9631353517226247, -2.130941040902408, -1.897990276956591, -2.0803810022216327, -2.100246068976157, -1.9798933470117859, -1.9796076356554544, -2.016945228162883, -2.2485656990014604, -2.1795805064084988, -2.281214853980725, -2.426846627828205, -2.551706485427826, -2.2955451000148703, -2.26027373883818, -2.213807845243139, -2.5489422148158876, -2.310671732745139, -2.260385629524176, -2.14990613246131, -2.059560314427031, -2.1778677721536264, -2.093788722705719, -2.310762019980523, -2.2277902911674285, -2.3582650627215913, -2.0746953075488497, -2.24199214834217, -2.2703989850976134, -2.215450379409621, -2.2317239219812226, -2.084443871494499, -2.266276803354302, -2.1534754380377854, -2.1026012553985622, -2.0492535597614334, -2.116190514593819, -2.129273492596995, -1.9480006514609536, -2.1500951515909144, -2.090127432531495, -1.9332577490275713, -2.1720724790689374, -2.1957275211803386, -2.130035936751159, -2.109454806884332, -2.2419297974292123, -2.184875695250049, -2.318157221829414, -2.23405512996994, -2.5475945935821693, -2.429258705546363, -2.4298809608178598, -2.3385840946659147, -2.616925603708974, -2.5321480164640806, -2.4844233007487944, -2.4385426178244196, -2.5730656819842643, -2.6541414342877294, -2.4766052109068273, -2.3550321300457013, -2.4188380313563558, -2.2846579061718812, -2.581678535405209, -2.405877829400973, -2.455086367912918, -2.3568342440367416, -2.524995163868476, -2.5331874287388434, -2.3827407239176965, -2.297722483939107, -2.3722385040089624, -2.3358533542916273, -2.3292303882441683, -2.33476876000416, -2.4103708153819725, -2.16353631224384, -2.320810330401804, -2.41563114011832, -2.4634050085854766, -2.4073858346923367, -2.3677794859805097, -2.287746865225749, -2.53453124095977, -2.319132376177081, -2.4309917620755264, -2.338338974566495, -2.441948761602671, -2.3321319521441657, -2.290444257333778, -2.234737591061232, -2.3277109044189817, -2.057139404601748, -2.2876489444195403, -2.21892566702801, -2.371257614810724, -2.648815779912635, -2.481343748969506, -2.4333571201855397, -2.4561158510085295, -2.4166408056588686, -2.3280866025895492, -2.206183722123056, -2.1510898414100192, -2.1768017476029162, -2.1332351944473746, -2.254117940811349, -2.180225535796728, -2.197790162467722, -2.3640487994495643, -2.4261191162514106, -2.415507316928272, -2.4370061637246465, -2.28658429390034, -2.355090579600779, -2.2729559386878195, -2.175333848452552, -2.2207533279021265, -2.2125850046184365, -2.1259898710535206, -2.37281707715114, -2.2855589028076384, -2.30025915478961, -2.4585773876641266, -2.4305832796364593, -2.468555737950105, -2.4008831475236656, -2.2685022109610853, -2.1568985022225684, -2.215526483597479, -2.267923146043067, -2.2466294515325798, -2.1585470262131468, -2.0424547312864747, -2.174333731413143, -2.2781591832475434, -2.5915824711238926, -2.201390343284288, -2.2801842379762935, -2.239668700616644, -2.3174186061460076, -2.2041928974133738, -2.2761900768262233, -2.2520341180385497, -2.1219315700585, -2.3097265961435145, -2.234347901111371, -2.1610938652044918, -2.4698271171833697, -2.3943784645981148, -2.094336834940182, -2.199117938402247, -2.1580203075858084, -2.0450665292778383, -2.2189508701502043, -2.1248024999527595, -2.526581362960667, -2.402457218192745, -2.1877473191643055, -2.328715333983355, -2.439624040490708, -2.558246403425566, -2.2758849044400447, -2.5511650423946266, -2.567489372389709, -2.4651793475457504, -2.4813665738266644, -2.6183663618108826, -2.5770841337612715, -2.630333577134357, -2.3926702593996922, -2.6563739621665086, -2.3234696653988003, -2.5642881537694096, -2.6682840484511394, -2.4972952905900283, -2.79378800747765, -2.642919958552769, -2.837473240054043, -2.632579213381264, -2.50451278229433, -2.686157693565522, -2.639380259578857, -2.5866869824331613, -2.569152824257935, -2.5642282326128445, -2.6178513097432208, -2.8197771319642007, -2.594505328474509, -2.5231695340157687, -2.3793544558348456, -2.801336211520373, -2.4955279751828923, -2.671131453844341, -2.502426707069272, -2.8036088551047627, -2.652036804693876, -2.557227917852775, -2.50896283801806, -2.699935189333351, -2.644999487860502, -2.6838237631965605, -2.529675161933461, -2.6117108516905643, -2.5313827912024864, -2.652287827093655, -2.484268048678032, -2.6453306762920583, -2.3714532062492615, -2.3230127761090142, -2.320190579106703, -2.5650739029578404, -2.586644458624213, -2.3880125981178506, -2.509824316435972, -2.4131254214958515, -2.437599095160036, -2.516357018305935, -2.565467341117291, -2.484371070617256, -2.6305547379540837, -2.5835924936008925, -2.6325223905084516, -2.618914883310072, -2.4722323558929014, -2.433493630620584, -2.357443006892134, -2.214546544381641, -2.3392431691442774, -2.384192050047851, -2.3986898620978043, -2.30266781426661, -2.63443833630412, -2.3602285470718285, -2.261043006441231, -2.409264550761237, -2.2783740300413196, -2.477747501470653, -2.5400490064346815, -2.5351811074631168, -2.533227601444019, -2.5442285179457382, -2.548135463221964, -2.710464876605922, -2.4349433776631715, -2.4400880795738384, -2.5938857277429648, -2.8046778936028707, -2.5406645483440577, -2.6740631287340118, -2.6832145828024094, -2.926392882868761, -2.7412710334874975, -2.568923039527818, -2.542776679688112, -2.667703880870498, -2.490552720457611, -2.4554918890146396, -2.35966809942929, -2.3341262388039903, -2.522177775692938, -2.3491930881202423, -2.21754662567748, -2.2473507851459593, -2.485738443323798, -2.160796171200085, -2.217206284322336, -2.3347111329039203, -2.1274220417402065, -2.006994565603242, -1.908740647118699, -1.9711262686953561, -1.8728015176469166, -1.971375080372911, -2.019420965554399, -2.273163235111483, -2.1985181893637202, -2.078441014014979, -2.1975576395049488, -1.960091450083896, -2.127197985317058, -1.9960505575812288, -2.04500022450125, -2.0003854000232515, -2.2280227958417536, -1.8749006996319635, -2.1403037572763157, -2.1367507791286537, -1.7892346470913454, -2.192937022627586, -1.9259574547993372, -2.1463054414141234, -2.153799566378649, -1.824223079582617, -2.023391747094775, -2.0092533904496994, -1.9300488610667852, -1.867881272676008, -2.2542455170461753, -1.995865338653287, -2.367974625064981, -2.4053157752658314, -2.431744616252795, -2.269188450826159, -2.3221597620250245, -2.3938554006994206, -2.3584628756564907, -2.48108371800585, -2.4584409381158867, -2.6098204525359874, -2.366259584937311, -2.469874021374888, -2.2787980588056183, -2.478670702520815, -2.412153528633811, -2.482509563577919, -2.6949317527869265, -2.4958244854708678, -2.4141729639102865, -2.42189961858847, -2.579768417097689, -2.5030533509873396, -2.478207467776595, -2.4438737146278706, -2.4338811644887333, -2.59197652780698, -2.499480450651736, -2.337954105359812, -2.288824236147587, -2.3090550349066903, -2.3132488450693596, -2.4744993709706784, -2.311973000208227, -2.411947020747508, -2.351688950764164, -2.4990874837914627, -2.554769342540855, -2.6662007075368264, -2.5036943384418273, -2.4110817689175486, -2.527230194392426, -2.6160570080292844, -2.4977908775406266, -2.369419887868287, -2.4886056809570936, -2.3530043703732444, -2.436447408011909, -2.379250134591061, -2.1151878940645563, -2.230950055953711, -1.979842863863126, -1.9806067145109367, -2.140496565740821, -2.0556980469521657, -2.2070111657996345, -2.2184584219074552, -2.073484678276732, -2.129691960369885, -2.1657260393704654, -2.1859061288468866, -2.1170672182064583, -1.8949159619722422, -2.1314472547801686, -2.270134258718855, -2.3233849495396877, -2.1430394577628373, -2.163364539075632, -2.224664645040317, -2.235274372697627, -2.295979296353406, -2.1577248853520423, -2.187200971529905, -2.1829759109514493, -2.407000389129862, -2.173292131098061, -1.9777406471609242, -1.9489960734061624, -2.2161015989963024, -2.1064455121922188, -2.112900486967833, -1.9756140500676254, -1.9550785838271638, -2.1147613788714037, -1.9312071134419861, -1.8949177842834768, -2.1845363407516953, -1.9055654583684358, -1.7042211397565377, -1.8592356317762544, -1.9689384224891358, -1.5008489872722344, -1.8893503313078364, -1.8393682530098967, -1.8528962728736282, -1.6589067339952923, -1.2267502561040113, -1.5382966056701564, -1.403300205509091, -1.5228225223949008, -1.4425796311017742, -1.5042304680081706, -1.3881534859888924, -1.4396369450402944, -1.5809315644923718, -1.6381643731523814, -1.3604001850628542, -1.444706450236478, -1.3420669019149234, -1.3656130230675403, -1.3517632404830995, -1.442931006039987, -1.6210711573586947, -1.6482358827557981, -1.6155276521059156, -1.6167324681822897, -1.5427504036055588, -1.5540498496207398, -1.5493956396841464, -1.6317377147017755, -1.6653159347654625, -1.469631649815033, -1.491302958017173, -1.765139219377734, -1.561507575572279, -1.6134158164076444, -1.618598286850907, -1.5657472543433968, -1.5175435135357884, -1.7041924189803235, -1.5930242310129608, -1.6357672407100985, -1.6219625012677554, -1.5314449704377597, -1.4292738987445894, -1.571622435744325, -1.4796956769405105, -1.4673713902467056, -1.3048713682375115, -1.2927541409400143, -1.1538012189359454, -1.2516912461882856, -1.3300286020524645, -1.2820890742943445, -1.3626247297155039, -1.2507499078862823, -1.3972671156939447, -1.3931862646223148, -1.5232253847422192, -1.3273786280861377, -1.4063652669254325, -1.2206681934594958, -1.2708368195033508, -1.2630227711250757, -1.32716407206688, -1.3007326377211206, -1.2156604852857453, -1.1637702717214367, -1.3017013623024436, -1.259484816638841, -1.3643705663997883, -1.3383429683939732, -1.3202673450881923, -1.3625688502068807, -1.3091171281377263, -1.109047424955186, -1.2966208713148317, -1.2142443896668893, -1.165937713992833, -1.1275841011598053, -1.2145624336371643, -1.220036200041054, -0.911248614387831, -1.0736445286621836, -1.2311167940551655, -1.2633502529807898, -1.1207774128256862, -1.1308593563074318, -1.2586090628213642, -1.2583311236265147, -1.2784193676422066, -1.1707157903803014, -1.3430141385818604, -1.1547857749080288, -1.2042844106454125, -1.2382153798063222, -1.2812374321166249, -1.4142623753374082, -1.3378615382275558, -1.2817419636683074, -1.4152778664659833, -1.0617640677411178, -1.1235155086260606, -1.3397081062647005, -1.2780289946366152, -1.3440221868967606, -1.2924378852108667, -1.4546800705920264, -1.4529538325580313, -1.4677356858110455, -1.457277951702088, -1.3301875880470275, -1.173214421137238, -1.2935969006939405, -1.3728448913721476, -1.5156013229268397, -1.4476825258859676, -1.5073997145002098, -1.5260247953020794, -1.3539223883811822, -1.4472555769528468, -1.1717301573075933, -1.264380729128991, -1.2725781742030264, -1.3613476614762585, -1.2481124457008181, -1.3349224893131053, -1.310439235992864, -1.4493521973347896, -1.3074958940587507, -1.3117310910100248, -1.425306958385585, -1.400077680003028, -1.4823425068879275, -1.4732107822435159, -1.2734820964774005, -1.643333739042755, -1.4481948421476654, -1.5812963770728665, -1.7361974834731906, -1.6191489503177228, -1.637018193108911, -1.8009440178920781, -1.839108390694974, -1.6669184043242227, -1.7986813504530086, -1.885160216102321, -1.7585686960493903, -1.6578683441593862, -1.8529501205744956, -1.6611241999474264, -1.8461561602604937, -1.839873979904917, -1.7185414668451844, -1.7691507306623333, -1.8247584630849734, -1.6405456495677389, -1.607882752372023, -1.5950233334359394, -1.5698418736910507, -1.78713614526983, -1.7491346688931706, -1.6683103390402183, -1.8371987267243184, -1.6090675727686756, -1.569084210429339, -1.5687785798406924, -1.4823007895784635, -1.6221095914357253, -1.6065618437217284, -1.4829642221939658, -1.711386758374774, -1.9613792672456085, -1.5578635441999165, -1.831878749769352, -1.869773990486011, -1.8422105732289051, -2.01222217392266, -2.0099821140334595, -1.875867140573532, -1.9609786748191482, -1.9915365244487402, -2.1931288658757446, -1.9702781232410154, -2.0459417775271795, -1.9390921651085191, -2.1203875661055633, -2.447301881530272, -2.2564233807079526, -2.3898429517865734, -2.1768540698950933, -2.055009212333038, -2.181925301072014, -2.1819614835172105, -2.032365073138295, -2.217414928872345, -2.2996971894986036, -2.230621970028715, -2.0227017667356093, -1.9058803072592458, -2.1698322332003825, -2.234881857171772, -2.3342741470899595, -2.192345203489846, -2.060268869204433, -1.9224929396096035, -1.9730875378740833, -1.9271187137134131, -1.8827806312290176, -1.7075345738664003, -1.986601505074604, -1.9985621031240561, -1.7730962799444387, -1.8599883663374368, -2.055940133971456, -2.056525737231513, -1.921625709874823, -1.9092222907831615, -1.9943461137801648, -1.7804282515310965, -1.8653981954985692, -1.7984516777662731, -1.801189796032895, -1.8272144682847289, -2.120267189404825, -2.148595554586988, -1.9247630562739981, -2.108790118648361, -2.0027938569405723, -2.016203609309759, -1.9194765198056778, -1.9142976629519668, -2.1056926688579396, -2.1497167162044497, -2.2642683999022504, -2.0503458039577795, -2.0018154536496704, -2.311849580946883, -2.265330618008893, -2.2417535024172146, -2.353179613121979, -2.2071892310667836, -2.225550129358733, -2.2458398917804896, -2.2179663876309648, -2.177933594342639, -2.1027892417959655, -2.0436075459897833, -2.4524299899537017, -2.2558477949464604, -2.247192761974808, -2.26193087931318, -2.3446529162762735, -2.1776591962864296, -2.311503462333356, -2.29563643427728, -2.2135737598049823, -2.174599901512729, -2.154145799042221, -2.3699644670760054, -2.064176179503819, -1.9893107111484671, -1.987237604184576, -1.9831494363174662, -2.0023622304123494, -1.9302612378096458, -1.984868955585746, -1.954750283362895, -2.016056877789908, -1.8312453937005055, -1.9178472160976592, -2.016240366931649, -1.9591820458443774, -1.9549023516563984, -2.128448969467626, -1.9779311293183173, -2.2108079491911647, -2.015603550484597, -2.0259440353670675, -2.3240062909113277, -2.147010862692121, -2.041274349721813, -2.1609351119393003, -2.2098521392183916, -2.1350996310982646, -2.1229704270197605, -2.1130031630396737, -2.342389998607863, -2.29305332111015, -2.2337428625331373, -2.36455834260388, -1.9846702584354061, -2.2148140352299177, -2.266270647162578, -2.3273053570838593, -2.4312887257018767, -2.291360324509131, -2.5142458776914105, -2.4398929958662587, -2.3867799008335875, -2.4667755175062487, -2.5338847445780552, -2.251763190832346, -2.5911536409496057, -2.5506657032362794, -2.351332094691064, -2.4327181869694856, -2.375829522434831, -2.4503526402811824, -2.126320154102298, -2.2940925466455035, -2.397051661080839, -2.5473267191865543, -2.548323084684798, -2.5786863554263992, -2.4286334572549864, -2.499234920646897, -2.6246071979203243, -2.5374652273201477, -2.4950824093494908, -2.7805417546242146, -2.504900781390111, -2.5790476733040606, -2.667137061251981, -2.528117666166263, -2.860618214089427, -2.7341437656985623, -2.7626586196620795, -2.6355126197787184, -2.7151070641469643, -2.7148032565564515, -2.5367062914189873, -2.6117683929758515, -2.68349793981315, -2.8251311150881664, -2.9548477387473637, -2.8207539167823903, -2.721464235828815, -2.596957716788415, -2.5236796356444753, -2.676784968748286, -2.5767706381513094, -2.5512889382808677, -2.892546111015805, -2.6736346660204524, -2.820982052754236, -2.6602479205225613, -2.704326831485525, -2.71958599957202, -2.692296292530124, -2.7695758097368217, -2.9621197088009965, -2.7045553551460726, -2.751491366046588, -2.671204517111484, -2.731936568579416, -2.974789011900079, -2.7529409546355317, -2.982231676652715, -2.7041457368038384, -2.9807931978426123, -3.0640328707957467, -2.9397656283729634, -2.7266133415388927, -3.0678407115330963, -2.8323264378749506, -3.043768668184614, -3.096305199652415, -2.938096508034801, -3.3108597312146384 ]
95
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise", "AutoRegressive Process", "Linear Trend" ]
When we say two time series have the same underlying distribution, you should check if they have the same mean and variance. They should also share similar behaviors over time.
Similarity Analysis
Distributional
475
null
You are given two time series following similar pattern. One has an anomaly and the other does not. Which time series has the anomaly, and what is the likely type of anomaly?
[ "Time series 1 with speed up/down anomaly: the period of cyclic components is different from other parts of the time series", "Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat", "Time series 1 with flip anomaly: the pattern is flipped at certain point in time" ]
Time series 1 with flip anomaly: the pattern is flipped at certain point in time
multiple_choice
[ 0, 0.3407749800074836, 0.6602484518679214, 0.938492122515773, 1.158235603877095, 1.3059797592675002, 1.3728669337042225, 1.3552519681894817, 1.2549371871712585, 1.0790562105674677, 0.8396140804842434, 0.5527133486478526, 0.23751601530927124, -0.08499176111904835, -0.3933525499262789, -0.6670209148305816, -0.8876878884136672, -1.0404612711875048, -1.114825666573664, -1.1053203625382566, -1.0118913598177741, -0.8398948530154762, -0.5997519401572632, -0.3062768200720566, 0.02227821422613005, 0.365399421053888, 0.7016340412808164, 1.009973263900514, 1.2712065722073653, 1.4691601618034387, 1.5917395950420796, 1.6317094765355789, 1.5871598874563693, 1.4616295096520162, 1.2638775023006983, 1.00731883722166, 0.7091594943039577, 0.38928726722253126, 0.06898968434673575, -0.23041830512605027, -0.4889684127376474, -0.6893262790072405, -0.8179089437862125, -0.8657604803023831, -0.8291293445959163, -0.7097102211533907, -0.514534774009586, -0.2555183461157145, 0.05130817071638505, 0.38683177730835305, 0.7300894985936733, 1.059619774951817, 1.3548459951083838, 1.5974029802850862, 1.772320906967061, 1.8689903459637538, 1.8818462059151853, 1.8107264903965048, 1.6608827411191078, 1.4426414940008199, 1.1707385725518724, 0.8633691337710393, 0.541014705939009, 0.22512283405317451, -0.06327554961099346, -0.30492189773822076, -0.48357156230370446, -0.5870410159955332, -0.6079932709435001, -0.5444108622433977, -0.3997259050972798, -0.18259884135458015, 0.09363986130293145, 0.4118490663201834, 0.7521819823865452, 1.0933655992841533, 1.4140720658325856, 1.694293603190491, 1.9166323188660739, 2.067421772767342, 2.137607992833222, 2.123333145020523, 2.02618423099488, 1.853090781073115, 1.6158781377056721, 1.3305051273595052, 1.0160352647616446, 0.6934078114670232, 0.3840879132307068, 0.1086828359253621, -0.11438649477663176, -0.2700730099289973, -0.34767351604760677, -0.34151868319074286, -0.2513385218691918, -0.08227978808798886, 0.15542580550713614, 0.4471211834020672, 0.7746687847792222, 1.1176198127502412, 1.4545324788714362, 1.7643542614826164, 2.0277790697185547, 2.22849182276404, 2.354220211770297, 2.397525841941251, 2.3562837533189, 2.2338194076596256, 2.038694310456574, 1.7841540881188676, 1.4872746003584147, 1.1678611341848184, 0.8471716436577967, 0.5465463425472528, 0.28603199406949664, 0.08308958372461128, -0.04853131408411704, -0.09967891098688608, -0.06638918042397957, 0.04985859889609778, 0.24223720562626017, 0.49901159688655305, 0.8042954151627526, 1.1390751123063916, 1.4824356698400578, 1.8129088987399877, 2.1098573997048207, 2.3548049660438695, 2.5326276639284333, 2.632528806270718, 2.648734967927874, 2.580868173174517, 2.4339702621449044, 2.218177865446795, 1.9480689399123343, 1.6417229914686078, 1.3195555684498546, 1.0030021604709083, 0.7131363461463464, 0.46931127162923625, 0.2879120379074491, 0.1812994249928932, 0.1570130464862367, 0.21728530365782572, 0.3588974722997853, 0.5733871998006399, 0.847594036013401, 1.1645078299276108, 1.5043652997217651, 1.8459240851201177, 2.1678321494695707, 2.450004252172965, 2.674916756320262, 2.8287373009315306, 2.902216512782192, 2.8912842730485178, 2.7973121000700836, 2.6270247335598746, 2.392066620041419, 2.1082512463010885, 1.7945417130452737, 1.4718282667210458, 1.1615815966780536, 0.8844687137146987, 0.6590206382660921, 0.5004377865504024, 0.4196100662046851, 0.4224148515596944, 0.5093380950177604, 0.6754429998264286, 0.9106882737771167, 1.200575447404531, 1.5270835269131653, 1.8698307288438278, 2.2073884045263563, 2.51866245135468, 2.7842531573400553, 2.9877058157105587, 3.1165714879023523, 3.163209532191331, 3.1252801624535183, 3.0058952839448976, 2.813417882377524, 2.5609228988009187, 2.2653543453276295, 1.9464329987663025, 1.6253850883772332, 1.323573933691495, 1.0611227447198315, 0.8556173665994053, 0.72097259705846, 0.6665351602543772, 0.6964811643392681, 0.8095468860289827, 0.9991102373171361, 1.25361766253137, 1.5573289455453172, 1.8913319126823613, 2.234761617852088, 2.5661454143849927, 2.8647872026662164, 3.1121016171763176, 3.292812143734925, 3.3959359295677283, 3.4154917997982475, 3.350885837637215, 3.206949671600859, 2.993629001548549, 2.7253424429041098, 2.420052021570216, 2.0981052406640126, 1.7809233659681847, 1.489620490598325, 1.24364240174902, 1.0595129958272838, 0.9497690551080666, 0.922152056202713, 0.9791091109143002, 1.1176352116406, 1.32946695107369, 1.6016152279342628, 1.9172025975314786, 2.2565512868192843, 2.598451734376348, 2.921529878084226, 3.2056250474461363, 3.433089633853881, 3.589926754744134, 3.6666925714107066, 3.6591050919892822, 3.5683202127483, 3.4008572025111254, 3.168178433902913, 2.8859504543109376, 2.573034032082319, 2.250268285264378, 1.9391272747908896, 1.6603356656769672, 1.4325326984918123, 1.2710705990262043, 1.1870248874290619, 1.186480387855251, 1.270138966460482, 1.4332742851593994, 1.6660364879743081, 1.954087178177887, 2.2795237520302614, 2.6220335013563423, 2.960203085017036, 3.272898953374713, 3.5406297358240746, 3.74680276422184, 3.8787937296443404, 3.9287605163793886, 3.8941487488336675, 3.777856460957283, 3.5880472726677275, 3.337624116972253, 3.043397444299745, 2.725001526271495, 2.403628720067901, 2.1006632898324797, 1.836302856673149, 1.6282563463509814, 1.4906023722752242, 1.4328816488607592, 1.4594819433900794, 1.569355215843729, 1.7560851814574119, 2.0083009405431644, 2.3104100106687673, 2.6436035058162464, 2.9870686630146293, 3.319330550157169, 3.6196364609671714, 3.8692937512227568, 4.052874871789334, 4.159211915249635, 4.182116562059094, 4.120779014446165, 3.979820200533513, 3.768993883308669, 3.5025578781761593, 3.19835491394596, 2.8766623901310573, 2.5588851816712843, 2.266175760246697, 2.0180705869253766, 1.8312306819487827, 1.7183675616132716, 1.6874237824002816, 1.7410609190917448, 1.8764879846826195, 2.0856413531084774, 2.3557045859567047, 2.669934652206278, 3.0087412782226677, 3.3509498470332595, 3.6751664332898053, 3.961156976082654, 4.191151680366743, 4.350990557943122, 4.431036259978351, 4.426795354740907, 4.339207999495729, 4.174587332676512, 3.944212493457476, 3.663601504972953, 3.3515108952242585, 3.028726545739302, 2.7167237166844544, 2.4362826307501635, 2.2061488630632606, 2.041824895930599, 1.9545707415950169, 1.9506780584846266, 2.031064555506566, 2.19121483136677, 2.421471462746143, 2.7076575761512762, 3.031990768954937, 3.3742294631333056, 3.712977791287372, 4.027064894652794, 4.296909715787013, 4.505783303717141, 4.640887256255686, 4.694178777023759, 4.662889159363566, 4.549702272749414, 4.362581545458964, 4.114256597175104, 3.8214026160701207, 3.503565382342535, 3.181901237238937, 2.8778132262477385, 2.611571338349282, 2.401005788464314, 2.260357581467262, 2.1993604568760516, 2.2226133972297597, 2.3292841517950835, 2.51316288813181, 2.7630625128353996, 3.063539854529058, 3.3958912175915446, 3.7393581276248025, 4.07246553952454, 4.374406239730317, 4.626382196296631, 4.8128163858110655, 4.922356975977385, 4.948609128603581, 4.890547246856312, 4.752581091003936, 4.544271500455374, 4.279714048251605, 3.9766303611100176, 3.6552256836440797, 3.3368863345982946, 3.0428010243980745, 2.792594911644301, 2.6030644549565096, 2.4870946187344383, 2.4528282358474787, 2.5031410748070995, 2.6354564515462986, 2.8419113369739306, 3.109863252076103, 3.4227052732544436, 3.760936608070348, 4.10341972605931, 4.428743002888015, 4.716601034145123, 4.949103635970517, 5.111929146977482, 5.1952476831354835, 5.194354827408771, 5.109974902950908, 4.948214279158448, 4.7201677207382104, 4.441203156742763, 4.129970977386145, 3.8072017249427654, 3.4943696863386706, 3.212308539777961, 2.9798682986117515, 2.8127001334061807, 2.722247409416539, 2.7150079828695945, 2.792115312586968, 2.949265390851362, 3.176994203963177, 3.461287835818938, 3.7844858838012647, 4.126419947709196, 4.465713798325092, 4.7811614094370185, 5.05309401761732, 5.264648081391879, 5.402852400016865, 5.459464310069309, 5.431501053913886, 5.321432065044455, 5.137019774505186, 4.890819200905345, 4.599368583270861, 4.282123233094082, 3.9602013354773433, 3.655022552086408, 3.386927189228442, 3.1738649472498235, 3.0302377818465493, 2.9659714729583913, 2.9858757531403377, 3.0893342451371035, 3.2703441970294547, 3.5179034534011313, 3.816719716187656, 4.1481963722611255, 4.491631335758222, 4.8255516210280165, 5.1290976121185645, 5.383367791000731, 5.572637235781737, 5.685371337656511, 5.714969386698015, 5.660190090762178, 5.5252315961644465, 5.3194608515447035, 5.056809761649036, 4.754877058352987, 4.433793787374741, 4.1149255477878635, 3.8194951452783097, 3.567214450666143, 3.375013661791489, 3.2559498876931228, 3.2183654138859294, 3.265349911693435, 3.3945412606483245, 3.598277824069688, 3.8640923612765903, 4.17551573607698, 4.513138609960813, 4.8558626772790126, 5.1822607807487895, 5.471958226585197, 5.706946251913821, 5.872742970963076, 5.959326958912644, 5.961783289329188, 5.880620377981179, 5.721737207497519, 5.496043045753014, 5.218754173073169, 4.908412955180614, 4.585692497960089, 4.2720639427231415, 3.988412315618005, 3.7536901613215954, 3.5836957553610307, 3.4900546583742846, 3.4794702670529203, 3.553291675470461, 3.7074267048868776, 3.9326057086174435, 4.214979145619413, 4.537010399840986, 4.878606289172582, 5.218412385032832, 5.535189638998803, 5.809183571382417, 6.023397756152073, 6.164689506195749, 6.2246171248878515, 6.19998410535622, 6.093045195302263, 5.911361043276373, 5.667310796727611, 5.377294072500098, 5.060673745248385, 4.738527707579967, 4.432290070489695, 4.1623693999524125, 3.9468330659188133, 3.8002425179807497, 3.7327145723915383, 3.7492692251615702, 3.8495060348673196, 4.027629937358845, 4.272824828204484, 4.569950829646066, 4.900520292313425, 5.243889613134959, 5.578590038156129, 5.883711659226544, 6.140251384342376, 6.332337983889539, 6.448255239414276, 6.481197236993243, 6.429707114742817, 6.29777098033405, 6.094560944061879, 5.833843833002815, 5.533093703873904, 5.212365367007951, 4.893001540428456, 4.5962569781475775, 4.3419282691192524, 4.147077637717258, 4.024933016740736, 3.984035300430623, 4.027687750366254, 4.153743048635983, 4.354741726033056, 4.618393041416057, 4.928367312044495, 5.265348616817477, 5.608280009241073, 5.935720966689488, 6.227229567142103, 6.4646802905062835, 6.63343249163719, 6.723274218708628, 6.729080533091744, 6.651143891737723, 6.495155293757036, 6.271837406592778, 5.996253322539456, 5.686835507051705, 5.364197538299217, 5.0498052399226445, 4.764592873250751, 4.527613597015361, 4.354811193524912, 4.257992242739121, 4.244065003687632, 4.3145940692192895, 4.46569950354294, 4.688306964721429, 4.9687326878153675, 5.289565617371449, 5.630789822031224, 5.971074834098715, 6.289150731517404, 6.5651793167345955, 6.7820329985477805, 6.92639893301272, 6.989637244277192, 6.968337999596124, 6.864541032784476, 6.6856044450511165, 6.443730260389911, 6.1551778144507105, 5.839215586269967, 5.516879043685821, 5.209614578711949, 4.937896952426733, 4.719909376660023, 4.570371321839281, 4.499589617097475, 4.512794014069293, 4.609800047672286, 4.7850209277640925, 5.027827695072604, 5.323234423721178, 5.652864298338396, 5.996134286985617, 6.3315820392191435, 6.638249469971239, 6.897033835647461, 7.091919204472367, 7.211008933575487, 7.247292593534704, 7.199097900105398, 7.070198519073018, 6.869570794521608, 6.610815083183246, 6.311278998911849, 5.990939087877145, 5.67111302798783, 5.37308537141626, 5.11673542259449, 4.919255706387159, 4.794043641194151, 4.749837865971535, 4.790154898390989, 4.913062440322818, 5.111303944646589, 5.3727664131122435, 5.681261268368397, 6.017567960754047, 6.360673033085743, 6.6891247663536015, 6.982416078239878, 7.222306525041377, 7.393998183311849, 7.487089607277181, 7.49624636456026, 7.421544923709586, 7.268467724606251, 7.047549749538967, 6.773699378963755, 6.465237313408744, 6.142715518024696, 5.827592327263352, 5.540849119889316, 5.3016377412403495, 5.126045867506797, 5.026059903596952, 5.008792272027647, 5.076022906146237, 5.224084505611131, 5.444098951208282, 5.72254963837382, 6.04215283358428, 6.382971881076872, 6.7237024318666325, 7.043045841963788, 7.321082202815972, 7.540554490705228, 7.687981051604407, 7.754524704458828, 7.7365624356049185, 7.635918958618214, 7.459749083008418, 7.8513814839597265, 7.6537160144736625, 7.392712140981848, 7.084528877222977, 6.748366685916898, 6.405229708894205, 6.076571721920809, 5.782913103588856, 5.542517976242003, 5.370216797874251, 5.276450307355107, 5.26659645565038, 5.340623712840661, 5.4930931007172905, 5.713508819923526, 5.986994868242316, 6.295254031408389, 6.617747424500594, 6.933018544038926, 7.220076474937185, 7.973632685636968, 8.013255383771124, 7.968362040927619, 7.84251349925603, 7.6444894285677085, 7.38772233941563, 7.089431647877311, 6.769513615098993, 6.4492587223429645, 6.149979166761302, 5.891634957240753, 5.691547179912659, 5.5632813834726145, 5.515773067576613, 5.552751650251962, 5.672500048625347, 5.867965371747068, 6.127213589629207, 6.434198867972971, 6.769797972939588, 7.11304306241243, 7.442473391088795, 7.737518790884158, 7.979825739718256, 8.154440532825836, 8.250773282712366, 8.26328060289246, 8.191822965776218, 8.041673697402723, 7.823179029169995, 7.551091121539268, 7.243617056759599, 6.921245107892194, 6.605423949439088, 6.317179955089927, 6.075761719355995, 5.897399184853533, 5.7942573688749475, 5.773652137919761, 5.837578585772871, 5.982582418532434, 6.199982637832653, 6.476431166847427, 6.794773342434011, 7.135153801250523, 7.476296468206015, 7.79687613198368, 8.076893188162407, 8.298962926257762, 8.44943624598617, 8.519279555074277, 8.504657125450118, 8.407178365858782, 8.233794070318345, 7.9963483308244205, 7.710815000532029, 7.396267929293986, 7.073651355968664, 6.764429724927085, 6.489203967185585, 6.266383448468391, 6.1109991979011395, 6.03373492329196, 6.04023827920741, 6.130756787379176, 6.300121880060359, 6.538082094986552, 6.829963942319919, 7.157617840373596, 7.500588139777237, 7.837431809742172, 8.147100776488761, 8.410298800522312, 8.61072542081337, 8.736126774240688, 8.77908554856186, 8.737499144098749, 8.614715219144374, 8.419315881071528, 8.164564435398969, 7.867550358483408, 7.548087613708745, 7.227437331910549, 6.926937199243429, 6.666625909861571, 6.463951358933078, 6.332645853135923, 6.281840848896119, 6.31547828732252, 6.432056474501138, 6.624726889135106, 6.881735676764897, 7.187181369367332, 7.522039983464038, 7.865391413146742, 8.195768057824242, 8.492538744557654, 8.7372387295623, 8.914760039495448, 9.014325416432557, 9.030183080558224, 8.96197752225897, 8.8147724202735, 8.598724208467212, 8.328427334953584, 8.02197342184403, 7.699784977482749, 7.383298846638605, 7.093584270863418, 6.8499846466223335, 6.668870541109851, 6.56258435336903, 6.538644653796977, 6.599261494789133, 6.741193938325502, 6.955958985072717, 7.2303784362559345, 7.54742843450722, 7.887336917507069, 8.228858236381512, 8.55064276978039, 8.832613240606683, 9.057259010275777, 9.21076491301321, 9.283901859180066, 9.272621794324591, 9.178318659550975, 9.007738530231846, 8.772544726028862, 8.48856592767619, 8.174775771150278, 7.852069700327863, 7.54191792909232, 7.264981350530895, 7.039779619504793, 6.881497271484575, 6.801004841948087, 6.804158090493784, 6.8914205056258915, 7.057833425677275, 7.293335702043565, 7.58341229743754, 7.91003000687082, 8.252799979522273, 8.590292098792931, 8.901416488212037, 9.166783083549484, 9.369951625466841, 9.498491491145604, 9.544783042182871, 9.506508829359406, 9.386802988456981, 9.194049196229681, 8.941340211424174, 8.645633841876512, 8.326659748794977, 8.005647561777373, 7.703958297425229, 7.441707308012481, 7.236467532686204, 7.102136646923889, 7.048041140168341, 7.078335077836639, 7.191732306887964, 7.381589368486017, 7.636333772739062, 7.9402100265184, 8.2742953212036, 8.617719403407108, 8.949009988947592, 9.2474769871152, 9.494546300344863, 9.67495721506388, 9.777746193163107, 9.796953643356574, 9.7320081099712, 9.587763112195159, 9.374184258919586, 9.105706809511688, 8.800305095767, 8.478333795337635, 8.161215754672735, 7.87006095178705, 7.624305628289693, 7.4404593198794675, 7.331040558772732, 7.303769858673206, 7.361072007014252, 7.499919749516406, 7.712028944032975, 7.984392602968629, 8.300119396892057, 8.639522564680554, 8.981389032922115, 9.304346929996068, 9.588243337180407, 9.815443459195349, 9.971967462340432, 10.048391693241342, 10.040456180574342, 9.949339256789301, 9.78158159616939, 9.548664566161426, 9.266270073823259, 8.953269621850573, 8.630507745320953, 8.319458255667499, 8.040839917958273, 7.8132808027127725, 7.652117415653541, 7.568406020246852, 7.56820988874472, 7.652208429536629, 7.815653388661678, 8.048674948977906, 8.336917994114053, 8.662467520048788, 9.005003537080295, 9.343111010705378, 9.65566039524873, 9.923169763276025, 10.129060720263602, 10.260727141198137, 10.310347832331356, 10.275390729339989, 10.158776128440207, 9.968688427660659, 9.71804851449101, 9.423680812766568, 9.105228685634895, 8.783888113831567, 8.481041283489263, 8.21687817009935, 8.009094979080231, 7.871753348797203, 7.814373858226634, 7.84132227686173, 7.951528122644266, 8.138553671261706, 8.391008968082359, 8.693286088723791, 9.026565313686051, 9.37002835337188, 9.702200412181387, 10.00233457467769, 10.251749268501595, 10.435032583649638, 10.541035810917661, 10.563592150431248, 10.501914258267115, 10.36064500307289, 10.149558160627942, 9.882928341258557, 9.578610768131018, 9.25689022909279, 8.939173405102537, 8.646608875117726, 8.398723759688899, 8.212164892887413, 8.09962567370744, 8.069027778139326, 8.123010483358897, 8.258760525069254, 8.468193456347853, 8.738474816587454, 9.052847513047938, 9.391712077348881, 9.733890157489732, 10.057989793593423, 10.343784464015338, 10.573517000745627, 10.733044316381063, 10.81274914712414, 10.808160035724965, 10.720239586777055, 10.555322411808556, 10.324706764577494, 10.043926192057633, 9.731748154591568, 9.408964169789803, 9.097049474309214, 8.816778609254001, 8.586886176355403, 8.422859100121762, 8.335938253537877, 8.332393808138669, 8.413121023468808, 8.573582533614802, 8.804100851344204, 9.09048223338887, 9.41493168900629, 9.7572001452174, 10.095889815995196, 10.409833623959775, 10.679459749296493, 10.888053339394212, 11.022834042301273, 11.075779900129017, 11.044144489597883, 10.930633971936441, 10.743232638500775, 10.494688198424935, 10.201689989557222, 9.883793089829243, 9.562157686893823, 9.258184973357446, 8.99213750547769, 8.781832964766954, 8.641495529979482, 8.580838906507836, 8.60444012627289, 8.711444486490674, 8.895620648623357, 9.145762345525911, 9.446410800485554, 9.778851286956892, 10.122319585145522, 10.455340560458826, 10.757112571525035, 11.008848461049917, 11.194986681693402, 11.304194480978136, 11.33009847428498, 11.271695509089469, 11.133417333818342, 10.924844902408054, 10.66009073210056, 10.356889131169133, 10.035452945613681, 9.717170525367493, 9.423226910905163, 9.173238126322982, 8.983986620043597, 8.868339373753784, 8.834418424360582, 8.885077271788688, 9.017716926318187, 9.224453454086765, 9.49262621983048, 9.805614062675817, 10.143906789698914, 10.486362912748163, 10.811572547736006, 11.0992376162436, 11.331480373875456, 11.493995910263823, 11.576974324086304, 11.575733124506812, 11.491019090883862, 11.328960131170826, 11.100670242486752, 10.821533040322299, 10.510210044119319, 10.18743765071713, 9.874690349525695, 9.592796356098715, 9.36059490815563, 9.193721782307714, 9.103601323913072, 9.096709969488508, 9.174158739167954, 9.33162161409289, 9.559614415930792, 9.844106210379374, 10.16742382014543, 10.50939113740277, 10.848629789235579, 11.163937307856134, 11.4356539609871, 11.646930128832045, 11.784812525382517, 11.841079240123968, 11.812769768653277, 11.702375863451715, 11.517680901498595, 11.27125812399317, 10.979660094475364 ]
[ 0, 0.23039674350718967, 0.4570114374964873, 0.676125362936421, 0.8841454012982388, 1.077664201389556, 1.2535172355106539, 1.4088357895270742, 1.5410949995388061, 1.6481561307711834, 1.72830239072671, 1.780267676905957, 1.803257777716424, 1.7969636715597783, 1.7615667014040115, 1.6977355381922181, 1.606614983935762, 1.4898068019842459, 1.3493428954697397, 1.1876512830527102, 1.0075154417063816, 0.812027697345329, 0.6045374437730616, 0.38859505702322583, 0.16789244424980554, -0.053798777323816854, -0.27269043620232175, -0.48504123961749596, -0.6872194215421531, -0.8757635566768287, -1.0474405220779663, -1.1992996358590875, -1.3287220664114439, -1.4334646847858679, -1.5116976259269073, -1.5620349297957161, -1.5835577492955413, -1.5758297363826999, -1.5389043487223257, -1.4733239545388175, -1.3801107506502768, -1.260749645764616, -1.117163395656843, -0.9516804065894243, -0.7669957461080179, -0.5661260140875051, -0.3523588297134608, -0.12919778024042072, 0.09969624663896687, 0.33056636442346277, 0.5596225969344883, 0.7831053415346096, 0.9973483237405661, 1.1988399890546602, 1.3842823040072623, 1.5506459817858997, 1.695221207696785, 1.815663015060045, 1.910030551718472, 1.9768195796413972, 2.014987663417263, 2.0239716258531226, 2.003696978386749, 1.9545791683989338, 1.8775166225397084, 1.77387570255812, 1.6454678255504387, 1.4945191317486957, 1.3236332077628916, 1.1357474894769428, 0.9340840746325678, 0.7220957687453191, 0.5034082678148358, 0.2817594459808567, 0.060936764754309425, -0.15528614809304125, -0.36321268799272227, -0.5592851732887753, -0.7401444186803365, -0.9026859848392395, -1.0441121623017302, -1.161978819163217, -1.2542363281104398, -1.3192638874672853, -1.3558966615476686, -1.3634452858498063, -1.341707410477055, -1.2909710884905294, -1.2120099524554728, -1.106070259950192, -0.9748500249607621, -0.8204705846066274, -0.6454410773128294, -0.45261642724245604, -0.24514953854078336, -0.026438499899310575, 0.19993031649982196, 0.4302423088497586, 0.6607168467922393, 0.887570578140179, 1.1070807811772763, 1.3156477016993693, 1.5098548309625817, 1.6865261151829705, 1.8427791386136163, 1.9760733896475533, 2.0842528017297948, 2.1655818567301313, 2.2187746462250804, 2.243016404057295, 2.237977149609359, 2.2038172133350913, 2.1411845520232458, 2.0512038987495655, 1.9354579292014265, 1.7959607597453175, 1.6351242210124806, 1.4557174717520893, 1.2608206292187787, 1.053773192554448, 0.8381181228157442, 0.6175425160281898, 0.3958158626976847, 0.1767269276249377, -0.03597969302845394, -0.2386662750693207, -0.427862880029222, -0.600325459345766, -0.7530901760135026, -0.8835230340872379, -0.9893639849909979, -1.068764772071602, -1.120319879689177, -1.1430900686015453, -1.1366181035420353, -1.100936409632145, -1.0365665294223056, -0.944510389652609, -0.8262335239717288, -0.6836405325499094, -0.5190431895152551, -0.33512173225486874, -0.13487998079211894, 0.07840496123301866, 0.301237581722715, 0.5299624925334987, 0.7608256390156916, 0.990037161725305, 1.2138348576877624, 1.4285471785536488, 1.6306547107410516, 1.8168491080786047, 1.9840884901209295, 2.12964837849077, 2.2511673183178678, 2.3466864208427607, 2.414682165043873, 2.454091909024113, 2.464331683968334, 2.4453059727115303, 2.3974093091754574, 2.321519671891101, 2.2189837822325686, 2.0915945535437284, 1.941561068772389, 1.7714715893370794, 1.5842502146435453, 1.3831079179882444, 1.1714887787533927, 0.9530123112364636, 0.7314128558189331, 0.5104770473702172, 0.2939804079794207, 0.0856241257708481, -0.11102692155692795, -0.29260386067154487, -0.455990234450675, -0.5983741871119612, -0.7172955487880558, -0.8106870311148394, -0.8769088440117913, -0.9147761539960668, -0.9235789242402221, -0.9030938041515166, -0.8535878693815601, -0.7758141496397758, -0.6709990191975351, -0.5408216612291641, -0.38738594985985175, -0.21318522075601165, -0.021060520175206543, 0.18584696840394033, 0.4041485234549248, 0.6302646296056067, 0.860484916686743, 1.091030289946421, 1.3181162110589066, 1.5380160702861723, 1.747123588624235, 1.9420132050091494, 2.119497437398005, 2.276680257212338, 2.4110055833882114, 2.5203000839990573, 2.6028095687374244, 2.65722836286288, 2.682721170748743, 2.6789370629222047, 2.6460153523845924, 2.5845832618126843, 2.495745420703839, 2.381065368335415, 2.2425393722717715, 2.082563000828429, 1.9038910092380057, 1.7095912112248837, 1.5029931084098633, 1.2876321377462965, 1.0671904705654636, 0.8454353545521469, 0.6261560311152191, 0.413100284472799, 0.20991168493895906, 0.02006857727398703, -0.15317416426044939, -0.30683963882867116, -0.4382787672784392, -0.5452146510184406, -0.6257806987256755, -0.6785518824503673, -0.7025685997343052, -0.6973527421710668, -0.6629157013397944, -0.5997581780529893, -0.5088617981125136, -0.39167267496807656, -0.25007719452180766, -0.086370427562803, 0.09678230123406806, 0.29639004421721615, 0.5091863142299458, 0.7316837819959532, 0.9602326715100784, 1.1910818756023904, 1.420441768294461, 1.6445476621537383, 1.859722848051521, 2.0624401617227255, 2.2493810461941974, 2.4174911210802135, 2.5640313282363794, 2.686623797336941, 2.783291663355646, 2.852492169205798, 2.893142499235072, 2.904637910992875, 2.8868618616534296, 2.8401879595274697, 2.765473707984429, 2.664046146543276, 2.5376796295721737, 2.3885661146930395, 2.219278458412181, 2.0327273335923968, 1.8321124901840649, 1.62086917535542, 1.402610610217566, 1.181067486372773, 0.960025495417258, 0.743261937468096, 0.5344824702056026, 0.3372590575695805, 0.15497015715968265, -0.009255852097235007, -0.15259305470778584, -0.2725653186172987, -0.3670877580850602, -0.43450164513312206, -0.473602184975781, -0.48365869032968867, -0.46442681678539954, -0.41615265435885584, -0.33956860670969236, -0.23588112702892783, -0.10675051595885443, 0.045736880170769156, 0.21910360524908312, 0.4105225784307571, 0.6168644336550079, 0.8347499209359386, 1.0606064919635876, 1.2907281224889668, 1.5213373697659558, 1.7486486258972593, 1.9689315079059644, 2.178573323064768, 2.3741395634999978, 2.5524314170869733, 2.7105393316159265, 2.8458917352954556, 2.9562980977679376, 3.039985610579287, 3.0956288728880397, 3.122372085326016, 3.1198433803739496, 3.088161049289715, 3.027931561319105, 2.9402394083575416, 2.8266289451139857, 2.689078528863887, 2.5299673918214367, 2.3520358008538302, 2.1583391716638602, 1.9521969057996382, 1.7371368072166984, 1.5168360091379576, 1.2950594003926168, 1.0755965822856906, 0.862198411656828, 0.6585141927158308, 0.4680305693787775, 0.29401314135365775, 0.13945178161519278, 0.007010570928747573, -0.10101681222950054, -0.182745499359394, -0.2367309940933484, -0.26199336031371323, -0.25803363120047806, -0.22484216443955707, -0.16289880368349952, -0.07316484356099417, 0.04293306721875867, 0.18352681512407676, 0.34633810339508964, 0.5287166021634486, 0.7276843282731958, 0.9399855116615238, 1.1621411132864723, 1.3905070816974916, 1.6213353727417936, 1.8508367106302677, 2.0752440394280764, 2.2908756024730996, 2.4941965934567825, 2.681878346818677, 2.8508540763102976, 2.998370228385493, 3.1220325905034816, 3.2198463822604304, 3.290249658022761, 3.3321394617345983, 3.34489029593649, 3.328364595731515, 3.282915032311915, 3.2093786074737234, 3.1090626380067925, 2.983722864651913, 2.8355340521908854, 2.6670535729716214, 2.481178583662615, 2.281097512313158, 2.070236668068801, 1.852202867563947, 1.6307230387131035, 1.409581813236676, 1.192558152935557, 0.9833620709085584, 0.7855725073171663, 0.602577399968782, 0.4375169532380534, 0.2932310552886741, 0.17221172409564023, 0.0765613785599395, 0.007957633466693315, -0.032374792204280745, -0.043684583219536055, -0.02570640887894604, 0.021334634017006637, 0.0967267904171476, 0.19928356537060954, 0.32736359190587305, 0.47889811574989816, 0.6514256366551627, 0.8421331262651718, 1.0479031323241812, 1.2653659804706976, 1.4909561994946494, 1.7209722252160382, 1.9516383832430766, 2.1791681127069475, 2.3998273722909, 2.609997166818431, 2.8062341473919834, 2.9853282703312938, 3.1443565494120564, 3.2807320013220798, 3.3922469647429203, 3.477110067677907, 3.5339762240080566, 3.5619691569830563, 3.5606960724910293, 3.5302542364029206, 3.4712293458537635, 3.384685721733733, 3.27214848661592, 3.1355780265517215, 2.9773371643715842, 2.8001515941746558, 2.60706423953265, 2.401384299680583, 2.186631836916628, 1.9664788330965022, 1.7446877022318816, 1.5250482888009387, 1.3113144067351512, 1.1071409817383246, 0.9160228494906286, 0.7412362345630332, 0.5857838899786532, 0.45234481605988774, 0.34322940052051454, 0.2603407309822501, 0.20514272773873055, 0.17863563038415742, 0.1813392487835126, 0.2132842588471222, 0.2740116888619959, 0.36258060498130873, 0.4775838671784356, 0.617171691831653, 0.7790826263838275, 0.9606814174056679, 1.1590031379612675, 1.3708028353623054, 1.5926098679586307, 1.8207860210942275, 2.051586429076506, 2.2812222830187365, 2.505924274512309, 2.722005712763063, 2.9259242582941436, 3.1143412394835512, 3.284177558679758, 3.432665251746734, 3.5573938376724925, 3.6563506821165843, 3.727954699007876, 3.771082825858927, 3.7850888294673046, 3.7698141271020624, 3.7255904419743713, 3.653234248526477, 3.5540331005526014, 3.4297240710878296, 3.282464665089198, 3.1147966919768564, 2.9296037029901174, 2.7300627060707416, 2.5195909668083476, 2.3017887862674953, 2.0803792138822907, 1.8591457049273354, 1.641868766492047, 1.4322626528220974, 1.2339131700660892, 1.0502176318878251, 0.88432797138865, 0.7390979619315259, 0.6170354306554657, 0.5202602648653716, 0.4504689144815288, 0.40890598495546837, 0.39634339632956417, 0.4130674574222064, 0.45887407158154714, 0.5330721542875501, 0.6344952053745996, 0.761520842097456, 0.9120979659592519, 1.083781108392194, 1.2737713801723003, 1.4789633388691372, 1.6959969895346039, 1.9213140478780444, 2.1512175237999114, 2.3819336275568492, 2.609674961937867, 2.8307039422981175, 3.0413953824801565, 3.2382971986206357, 3.418188214355922, 3.5781320994776458, 3.715526538834208, 3.828146808144241, 3.9141830270443236, 3.972270465567763, 4.0015123965722115, 4.001495111451583, 3.972294847694023, 3.9144765122838114, 3.8290842223238712, 3.717623821276297, 3.5820376635868687, 3.4246720899252394, 3.248238137668761, 3.0557661445333797, 2.8505550055147117, 2.6361169328326834, 2.4161186438754654, 2.1943199619516163, 1.9745108579819284, 1.7604479873689574, 1.5557917847356042, 1.3640451698821323, 1.1884948913319302, 1.032156489669022, 0.8977238022573775, 0.7875238548863517, 0.7034778956824654, 0.6470692237754068, 0.619318351427647, 0.6207659155385552, 0.6514636246698475, 0.7109733931848174, 0.7983746770001166, 0.912279888112792, 1.050857629786069, 1.2118633633202847, 1.3926769928932334, 1.590346739111495, 1.8016385666085681, 2.023090338024919, 2.2510697875592833, 2.481835343324347, 2.7115987800344024, 2.936588652905135, 3.1531134505636147, 3.3576234094717563, 3.5467699547801224, 3.7174617722729897, 3.8669165724801777, 3.992707680163415, 4.092804669036542, 4.16560736128969, 4.20997262259517, 4.225233503912119, 4.211210409560046, 4.168214104551685, 4.097040510827372, 3.998957379527914, 3.8756830624793204, 3.7293577383608167, 3.562507575374862, 3.378002430515674, 3.1790077937628123, 2.968931781895306, 2.751368069515336, 2.5300357129034863, 2.308716874354811, 2.09119348980433, 1.8811839402422827, 1.6822807873584575, 1.4978906160328016, 1.3311769910110338, 1.1850074829567334, 1.0619056509295823, 0.9640087853441028, 0.8930321190035373, 0.8502401054962145, 0.8364252458976211, 0.8518948183258508, 0.8964657325640422, 0.969467595909318, 1.0697539389105104, 1.1957214130195097, 1.345336638691204, 1.516170254360137, 1.7054375961430392, 1.9100453270851725, 2.1266432351425646, 2.351680332542267, 2.5814643171357505, 2.8122234000640276, 3.0401694644291575, 3.261561497379055, 3.4727682334342096, 3.670328960092723, 3.851011467522604, 4.0118661719729936, 4.150275506606436, 4.263997752702125, 4.351204577275749, 4.410511648547814, 4.441001816603907, 4.442240471086319, 4.4142828187522065, 4.3576729590354875, 4.273434773092083, 4.163054778891851, 4.028457239448671, 3.8719719410020947, 3.6962951807053477, 3.5044446170815258, 3.2997087392780915, 3.0855918012573817, 2.8657551430020485, 2.643955881311576, 2.423983996815034, 2.2095988706777914, 2.004466333697186, 1.812097281900619, 1.635788886529139, 1.4785693828464777, 1.3431473622855201, 1.2318664170368587, 1.1466658965556518, 1.0890484331207135, 1.0600547802301563, 1.0602463851656205, 1.0896959875475465, 1.1479864013089487, 1.2342175004834826, 1.3470212918308464, 1.4845848219077704, 1.644680535005845, 1.824703573611255, 2.0217153967903267, 2.2324929861096323, 2.4535828151369765, 2.6813586788029298, 2.9120824142690664, 3.1419664965314262, 3.3672374605936786, 3.5841990882059673, 3.7892943011048597, 3.9791647243523744, 4.150706922383909, 4.301124366091969, 4.427974260755798, 4.529208450682404, 4.603207715610065, 4.648808884580365, 4.6653243132566375, 4.652553398540544, 4.610785937674563, 4.540797275581995, 4.4438353217024416, 4.32159965372605, 4.176213058134877, 4.010185984105501, 3.826374505992926, 3.6279324983147303, 3.4182588240661698, 3.2009404206989833, 2.979692236789854, 2.758295025160532, 2.540532034104565, 2.3301256568274864, 2.130675099906155, 1.945596114510883, 1.7780637995912143, 1.6309594347876621, 1.5068222333528007, 1.4078068229802179, 1.3356471665255856, 1.2916275267676838, 1.2765609614054017, 1.290775708392103, 1.3341096895852473, 1.4059132247477968, 1.5050599104553066, 1.6299654817413267, 1.7786143406423696, 1.9485933074217279, 2.1371320293070415, 2.3411493700966304, 2.5573050038401877, 2.7820553486559927, 3.011712904072655, 3.2425079982899536, 3.4706519114002714, 3.6924003175708173, 3.9041159838461614, 4.102329675678755, 4.2837982493232225, 4.44555895833596, 4.584979064816972, 4.699799924652902, 4.788174808552849, 4.8486998255631235, 4.880437431246259, 4.88293212687931, 4.8562180867880445, 4.8008185860972326, 4.717737238479429, 4.608441190626131, 4.4748365548503575, 4.319236491202129, 4.144322473562237, 3.9530993883144143, 3.7488452174694857, 3.535056148798342, 3.3153880321054303, 3.0935951619588966, 2.873467411961122, 2.6587667732482365, 2.4531643598811685, 2.2601789359757696, 2.08311799393507, 1.9250223704300797, 1.7886153275357706, 1.6762569516591166, 1.5899046338503906, 1.531080293255087, 1.5008448925508353, 1.4997806721085012, 1.5279814003667958, 1.585050803678134, 1.6701092019178998, 1.7818082387437404, 1.9183534598465461, 2.0775343611197075, 2.2567614035898043, 2.453109375292471, 2.663366373999133, 2.884087590576665, 3.1116529923775893, 3.3423279407512507, 3.572325727634296, 3.7978709840446707, 4.015262898702105, 4.220937188179038, 4.411525780889872, 4.583913215509588, 4.735288809428943, 4.86319372368491, 4.965562136262659, 5.040755834321983, 5.087591646100468, 5.105361253145657, 5.09384305112013, 5.053305860570095, 4.98450442552053, 4.888666775273096, 4.767473661033617, 4.623030411703314, 4.457831680108862, 4.274719669996409, 4.076836543279491, 3.8675718044817358, 3.6505055434234412, 3.429348486553842, 3.2078798607708663, 2.9898841101992852, 2.77908752560681, 2.579095847598786, 2.3933338884277626, 2.2249881834512957, 2.0769536325408096, 1.9517850249318298, 1.8516542592326601, 1.7783139749437238, 1.7330682044778867, 1.7167505371145526, 1.729710160532325, 1.771806013655151, 1.8424091487225447, 1.940413263030986, 2.0642532239924067, 2.211931277307195, 2.3810504993954025, 2.56885493392478, 2.772275740348583, 2.987982581695005, 3.212439391118971, 3.4419635834044433, 3.672787719919228, 3.9011225944419947, 4.123220683487582, 4.335438898654628, 4.5342995902055225, 4.716548780373039, 4.879210651276004, 5.0196373750426195, 5.135553451735168, 5.225093812636962, 5.286835050861218, 5.319819256324628, 5.323570055968758, 5.2981005906353715, 5.243913295022802, 5.1619914844079915, 5.053782889014732, 4.9211754117452715, 4.766465515212701, 4.592319767433574, 4.4017301900992365, 4.197964157119227, 3.9845096823871633, 3.7650170129260303, 3.543237505437008, 3.322960809764565, 3.107951411142656, 2.9018855938225205, 2.7082898816274157, 2.5304819862485908, 2.3715152521039884, 2.234127528031765, 2.120695321962646, 2.033194006252545, 1.9731647400372518, 1.941688662495342, 1.9393687891533695, 1.9663199143801873, 2.022166689153181, 2.1060499062843405, 2.216640887859887, 2.352163733975586, 2.5104250602121363, 2.688850725896428, 2.8845289381327204, 3.094259009826557, 3.3146049552469603, 3.5419530256687217, 3.772572221658994, 4.002676768729027, 4.228489510195538, 4.446305155736283, 4.6525523265425255, 4.843853358120577, 5.017080859343908, 5.169410080673168, 5.298366214637289, 5.401865836528766, 5.478251791387341, 5.52632094308929, 5.5453443208832, 5.535079326018185, 5.495773794064258, 5.428161844901303, 5.333451589868676, 5.213304901919292, 5.069809587527495, 4.905444426332608, 4.72303766392962, 4.525719652846595, 4.316870434735819, 4.100063141516344, 3.879004163216367, 3.6574710844063003, 3.439249428478075, 3.228069268988639, 3.027542769511804, 2.8411036978950586, 2.6719499277559677, 2.5229898900314778, 2.3967938712501913, 2.2955509740388127, 2.2210324605597176, 2.1745620926945013, 2.1569939656277826, 2.1686982060081386, 2.2095547741707966, 2.278955474203955, 2.3758141382001448, 2.498584814157117, 2.6452876529716463, 2.8135420610479915, 3.0006065633799217, 3.203424709598413, 3.4186762542875284, 3.642832754552835, 3.8722166538605727, 4.10306286278683, 4.33158180550738, 4.554022876311888, 4.76673724356327, 4.966238949448445, 5.149263282403786, 5.312821444768407, 5.454250600253955, 5.571258463185785, 5.661961682867246, 5.724917380320604, 5.759147309321155, 5.764154237147697, 5.739930270753238, 5.686956988934243, 5.6061973782851044, 5.499079707970506, 5.367473613332848, 5.213658788815281, 5.040286814437557, 4.850336755041621, 4.647065275797757, 4.433952109288522, 4.2146417873246715, 3.992882613195153, 3.7724638962621153, 3.5571524999080215, 3.3506297653414574, 3.1564298674731006, 2.9778806350941016, 2.818047826323608, 2.679683792434753, 2.5651813896835405, 2.4765339108883637, 2.4153017077062393, 2.382586062516624, 2.3790107474283886, 2.4047115792047387, 2.4593341450091235, 2.5420397370544854, 2.6515193967800297, 2.7860158333856333, 2.9433528496975674, 3.120971782628803, 3.315974348037871, 3.525171172548444, 3.745135199663177, 3.9722590758856136, 4.202815555918733, 4.433019915453724, 4.659093326445732, 4.877326133656648, 5.084139972898155, 5.276147690803567, 5.450210062771291, 5.603488359336405, 5.733491880746216, 5.8381196637718125, 5.915695662374662, 5.964996813127394, 5.985273515432602, 5.9762621835981555, 5.938189660584338, 5.87176941951442, 5.778189616554546, 5.6590931952175305, 5.516550375244717, 5.3530239867393385, 5.171328230032833, 4.9745815518502585, 4.7661544268643246, 4.549612919037188, 4.328658967815847, 4.1070683990905374, 3.8886276989228175, 3.677070608769271, 3.4760156039143872, 3.2889053020376906, 3.118948816519275, 2.9690680197793995, 2.8418486164728156, 2.739496845818275, 2.6638025380836585, 2.616109143846261, 2.597291237889083, 2.6077398744304228, 2.647356038914123, 2.7155523060100446, 2.811262676061644, 2.9329604252692008, 3.0786836707070346, 3.246068222087843, 3.432387170171233, 3.6345965489073695, 3.8493863067026344, 4.073235733292296, 4.3024724140967265, 4.533333724868619, 4.762029836902923, 4.984807177786022, 5.198011285032434, 5.398148000124152, 5.581941978257051, 5.74639153404807, 5.8888189048101145, 6.006915089735983, 6.098778514157857, 6.162946871449001, 6.198421609374195, 6.2046846508646345, 6.181707069227706, 6.129949572524941, 6.050354789007339, 5.944331482788586, 5.813730964064824, 5.66081608889261, 5.4882233676239345, 5.298918816493622, 5.096148291624511, 4.883383137109241, 4.664262057291591, 4.442530186597381, 4.2219763771922745, 4.006369754584509, 3.7993966035516324, 3.604598641235987, 3.4253137110285525, 3.2646198903216748, 3.125283948048723, 3.0097150150888203, 2.9199242433276758, 2.8574911288833746, 2.823537063415785, 2.8187065564033595, 2.8431564428203933, 2.896553256932609, 2.978078816186838, 3.0864439216923385, 3.2199099458792704, 3.376317945848128, 3.553124814907017, 3.7474458669385613, 3.9561031405199567, 4.175678613943826, 4.402571440052127, 4.633058242486206, 4.863355463689743, 5.089682720647686, 5.308326107466668, 5.515700384795603 ]
73
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Linear Trend", "Speed Up/Down Anomaly", "Cutoff Anomaly", "Flip Anomaly" ]
You should first identify the time series with the anomaly. Remember, both time series share similar pattern. Then, you should check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
476
null
You are given two time series following similar pattern. Both of them have an anomaly. What is the likely type of anomaly in each time series?
[ "Time series 1 with cutoff anomaly and time series 2 with speed up/down anomaly", "Time series 1 with flip anomaly and time series 2 with speed up/down anomaly", "Time series 1 with cutoff anomaly and time series 2 with flip anomaly" ]
Time series 1 with cutoff anomaly and time series 2 with flip anomaly
multiple_choice
[ -1.312037280884873, -1.0936797520926154, -0.8753222233003578, -0.6569646945081004, -0.4386071657158428, -0.22024963692358532, -0.001892108131327716, 0.21646542066092989, 0.43482294945318745, 0.653180478245445, 0.8715380070377025, 1.0898955358299598, -1.3158214971475284, -1.097463968355271, -0.8791064395630134, -0.6607489107707559, -0.44239138197849814, -0.22403385318624075, -0.00567632439398294, 0.21268120439827443, 0.431038733190532, 0.6493962619827895, 0.867753790775047, 1.0861113195673044, -1.319605713410184, -1.1012481846179263, -0.8828906558256688, -0.6645331270334113, -0.44617559824115377, -0.2278180694488962, -0.009460540656638816, 0.20889698813561897, 0.4272545169278768, 0.6456120457201342, 0.8639695745123915, -1.541747458465097, -1.3233899296728393, -1.1050324008805816, -0.8866748720883242, -0.6683173432960667, -0.44995981450380923, -0.23160228571155161, -0.013244756919294054, 0.20511277187296334, 0.42347030066522134, 0.6418278294574787, 0.8601853582497361, -1.5455316747277523, -1.3271741459354947, -1.1088166171432372, -0.8904590883509798, -0.6721015595587221, -0.45374403076646463, -0.23538650197420707, -0.01702897318194946, 0.20132855561030788, 0.4196860844025655, 0.6380436131948233, -1.7676734197826653, -1.5493158909904077, -1.3309583621981502, -1.1126008334058928, -0.8942433046136352, -0.6758857758213777, -0.45752824702911987, -0.23917071823686253, -0.020813189444604863, 0.1975443393476527, 0.41590186813991004, 0.6342593969321674, -1.7714576360453207, -1.5531001072530632, -1.3347425784608058, -1.1163850496685481, -0.8980275208762905, -0.6796699920840329, -0.46131246329177533, -0.24295493449951777, -0.024597405707260322, 0.19376012308499724, 0.4121176518772546, -1.9935993811002337, -1.7752418523079763, -1.5568843235157188, -1.3385267947234611, -1.1201692659312035, -0.9018117371389461, -0.6834542083466884, -0.465096679554431, -0.24673915076217312, -0.02838162196991556, 0.18997590682234178, 0.4083334356145991, -1.997383597362889, -1.7790260685706316, -1.5606685397783742, -1.3423110109861165, -1.1239534821938588, -0.9055959534016014, -0.687238424609344, -0.46888089581708636, -0.2505233670248288, -0.03216583823257102, 0.18619169055968632, 0.40454921935194377, -2.0011678136255444, -1.7828102848332872, -1.5644527560410295, -1.346095227248772, -1.1277376984565144, -0.9093801696642568, -0.6910226408719995, -0.4726651120797418, -0.25430758328748426, -0.035950054495226924, 0.18240747429703097, -2.223309558680458, -2.0049520298882, -1.7865945010959425, -1.5682369723036849, -1.3498794435114274, -1.1315219147191697, -0.9131643859269123, -0.6948068571346546, -0.4764493283423974, -0.2580917995501397, -0.03973427075788227, 0.1786232580343754, -2.2270937749431132, -2.0087362461508556, -1.7903787173585979, -1.5720211885663402, -1.3536636597740828, -1.1353061309818253, -0.9169486021895676, -0.6985910733973102, -0.4802335446050525, -0.26187601581279507, -0.043518487020537844, -2.449235519998026, -2.2308779912057686, -2.012520462413511, -1.7941629336212532, -1.575805404828996, -1.3574478760367383, -1.1390903472444809, -0.9207328184522232, -0.7023752896599655, -0.48401776086770787, -0.26566023207545064, -0.04730270328319275, -2.453019736260681, -2.234662207468424, -2.0163046786761663, -1.797947149883909, -1.5795896210916514, -1.3612320922993937, -1.1428745635071362, -0.9245170347148788, -0.7061595059226211, -0.48780197713036344, -0.269444448338106, -2.6751614813155946, -2.456803952523337, -2.2384464237310793, -2.020088894938822, -1.8017313661465644, -1.5833738373543067, -1.3650163085620493, -1.1466587797697916, -0.9283012509775341, -0.7099437221852767, -0.49158619339301923, -0.27322866460076156, -2.67894569757825, -2.4605881687859923, -2.242230639993735, -2.0238731112014774, -1.8055155824092197, -1.5871580536169623, -1.3688005248247046, -1.150442996032447, -0.9320854672401895, -0.713727938447932, -0.4953704096556748, -2.901087442633163, -2.6827299138409053, -2.464372385048648, -2.24601485625639, -2.0276573274641327, -1.8092997986718753, -1.5909422698796176, -1.37258474108736, -1.1542272122951025, -0.9358696835028448, -0.7175121547105876, -0.4991546259183297, -2.9048716588958183, -2.6865141301035607, -2.4681566013113034, -2.2497990725190458, -2.031441543726788, -1.8130840149345304, -1.5947264861422732, -1.3763689573500153, -1.1580114285577578, -0.9396538997655004, -0.721296370973243, -0.5029388421809851, -2.908655875158474, -2.690298346366216, -2.471940817573959, -2.253583288781701, -2.0352257599894434, -1.8168682311971862, -1.5985107024049285, -1.380153173612671, -1.1617956448204132, -0.9434381160281557, -0.7250805872358983, -3.1307976202133867, -2.9124400914211295, -2.694082562628872, -2.475725033836614, -2.2573675050443565, -2.039009976252099, -1.8206524474598416, -1.602294918667584, -1.3839373898753264, -1.165579861083069, -0.9472223322908111, -0.7288648034985534, -3.1345818364760425, -2.916224307683785, -2.697866778891527, -2.4795092500992695, -2.261151721307012, -2.0427941925147546, -1.824436663722497, -1.6060791349302392, -1.3877216061379818, -1.1693640773457246, -0.9510065485534664, -3.356723581530955, -3.138366052738698, -2.92000852394644, -2.7016509951541825, -2.483293466361925, -2.2649359375696676, -2.0465784087774095, -1.8282208799851523, -1.609863351192895, -1.3915058224006371, -1.17314829360838, -0.9547907648161222, -3.3605077977936104, -3.142150269001353, -2.9237927402090955, -2.705435211416838, -2.48707768262458, -2.268720153832323, -2.0503626250400653, -1.8320050962478076, -1.6136475674555502, -1.3952900386632925, -1.1769325098710353, -3.5826495428485234, -3.364292014056266, -3.1459344852640085, -2.927576956471751, -2.7092194276794936, -2.4908618988872355, -2.2725043700949783, -2.054146841302721, -1.8357893125104632, -1.6174317837182055, -1.3990742549259483, -1.1807167261336902, -3.586433759111179, -3.3680762303189216, -3.149718701526664, -2.931361172734406, -2.713003643942149, -2.494646115149891, -2.2762885863576336, -2.0579310575653764, -1.839573528773119, -1.6212159999808613, -1.4028584711886036, -3.8085755041660923, -3.590217975373834, -3.371860446581577, -3.1535029177893197, -2.9351453889970616, -2.7167878602048043, -2.498430331412547, -2.280072802620289, -2.0617152738280318, -1.8433577450357743, -1.6250002162435166, -1.406642687451259, -3.8123597204287476, -3.5940021916364895, -3.3756446628442323, -3.157287134051975, -2.938929605259717, -2.7205720764674597, -2.5022145476752025, -2.283857018882945, -2.065499490090687, -1.8471419612984297, -1.628784432506172, -1.4104269037139143, -3.816143936691403, -3.5977864078991457, -3.3794288791068876, -3.1610713503146304, -2.942713821522373, -2.724356292730115, -2.505998763937858, -2.2876412351456, -2.0692837063533425, -1.850926177561085, -1.6325686487688273, -4.0382856817463155, -3.8199281529540583, -3.601570624161801, -3.3832130953695434, -3.1648555665772857, -2.9464980377850285, -2.728140508992771, -2.509782980200513, -2.291425451408256, -2.073067922615998, -1.8547103938237404, -1.6363528650314827, -4.042069898008972, -3.8237123692167136, -3.6053548404244564, -3.3869973116321987, -3.168639782839941, -2.950282254047684, -2.731924725255426, -2.5135671964631685, -2.2952096676709113, -2.076852138878654, -1.8584946100863957, -4.264211643063884, -4.045854114271627, -3.8274965854793694, -3.6091390566871118, -3.390781527894854, -3.172423999102597, -2.9540664703103388, -2.7357089415180815, -2.517351412725824, -2.2989938839335666, -2.0806363551413085, -1.8622788263490515, -4.26799585932654, -4.0496383305342825, -3.831280801742025, -3.612923272949767, -3.3945657441575094, -3.176208215365252, -2.9578506865729945, -2.739493157780737, -2.521135628988479, -2.302778100196222, -2.084420571403964, -4.490137604381453, -4.271780075589195, -4.053422546796938, -3.83506501800468, -3.616707489212423, -3.398349960420165, -3.179992431627907, -2.96163490283565, -2.743277374043392, -2.5249198452511346, -2.3065623164588773, -2.088204787666619, -4.4939218206441085, -4.27556429185185, -4.057206763059593, -3.8388492342673355, -3.620491705475078, -3.4021341766828206, -3.183776647890563, -2.9654191190983052, -2.747061590306048, -2.52870406151379, -2.3103465327215327, -2.0919890039292754, -4.497706036906763, -4.279348508114506, -4.0609909793222485, -3.842633450529991, -3.624275921737733, -3.405918392945476, -3.1875608641532183, -2.9692033353609606, -2.7508458065687034, -2.5324882777764453, -2.314130748984188, -4.719847781961676, -4.501490253169419, -4.283132724377161, -4.064775195584904, -3.8464176667926466, -3.628060138000389, -3.4097026092081313, -3.191345080415874, -2.972987551623616, -2.7546300228313587, -2.5362724940391015, -2.3179149652468434, -4.723631998224333, -4.5052744694320745, -4.286916940639816, -4.068559411847559, -3.850201883055302, -3.631844354263044, -3.4134868254707866, -3.1951292966785294, -2.976771767886272, -2.758414239094014, -2.540056710301757, -4.945773743279245, -4.727416214486988, -4.50905868569473, -4.290701156902473, -4.0723436281102146, -3.8539860993179573, -3.6356285705257, -3.417271041733442, -3.1989135129411848, -2.9805559841489275, -2.7621984553566694, -2.543840926564412, -4.949557959541901, -4.7312004307496425, -4.512842901957385, -4.294485373165128, -4.076127844372871, -3.8577703155806127, -3.6394127867883554, -3.421055257996098, -3.20269772920384, -2.984340200411583, -2.7659826716193248, -5.171699704596813, -4.953342175804556, -4.734984647012299, -4.516627118220041, -4.298269589427783, -4.079912060635526, -3.861554531843268, -3.643197003051011, -3.4248394742587536, -3.2064819454664955, -2.9881244166742382, -2.76976688788198, -5.175483920859469, -4.957126392067211, -4.738768863274953, -4.520411334482696, -4.302053805690439, -4.0836962768981815, -3.865338748105924, -3.646981219313666, -3.428623690521408, -3.210266161729151, -2.9919086329368936, -5.397625665914382, -5.179268137122125, -4.960910608329867, -4.742553079537609, -4.524195550745351, -4.305838021953094, -4.087480493160837, -3.869122964368579, -3.6507654355763215, -3.4324079067840643, -3.214050377991806, -2.995692849199549, -5.401409882177037, -5.18305235338478, -4.964694824592522, -4.746337295800265, -4.527979767008007, -4.309622238215749, -4.091264709423492, -3.872907180631234, -3.654549651838977, -3.4361921230467196, -3.2178345942544624, -2.9994770654622043, -5.405194098439693, -5.1868365696474354, -4.968479040855178, -4.75012151206292, -4.531763983270663, -4.313406454478405, -4.0950489256861475, -3.8766913968938903, -3.658333868101632, -3.439976339309375, -3.2216188105171177, -5.627335843494605, -5.408978314702348, -5.190620785910091, -4.972263257117834, -4.7539057283255755, -4.535548199533318, -4.317190670741061, -4.098833141948803, -3.880475613156545, -3.6621180843642875, -3.4437605555720303, -3.225403026779773, -5.6311200597572615, -5.412762530965003, -5.194405002172746, -4.976047473380488, -4.757689944588231, -4.539332415795974, -4.320974887003716, -4.102617358211458, -3.8842598294192006, -3.665902300626943, -3.4475447718346857, -5.853261804812174, -5.634904276019917, -5.41654674722766, -5.1981892184354015, -4.979831689643143, -4.761474160850886, -4.543116632058629, -4.324759103266372, -4.1064015744741145, -3.8880440456818564, -3.6696865168895982, -3.451328988097341, -5.857046021074829, -5.638688492282572, -5.420330963490315, -5.201973434698057, -4.9836159059058, -4.7652583771135415, -4.546900848321284, -4.328543319529027, -4.11018579073677, -3.8918282619445117, -3.6734707331522536, -6.079187766129742, -5.860830237337485, -5.6424727085452275, -5.42411517975297, -5.205757650960713, -4.987400122168454, -4.769042593376197, -4.55068506458394, -4.332327535791682, -4.113970006999425, -3.895612478207167, -3.677254949414909, -6.082971982392397, -5.86461445360014, -5.646256924807883, -5.427899396015626, -5.209541867223368, -4.991184338431111, -4.772826809638852, -4.554469280846595, -4.336111752054338, -4.1177542232620805, -3.8993966944698224, -6.305113727447312, -6.086756198655053, -5.8683986698627955, -5.650041141070538, -5.431683612278281, -5.213326083486024, -4.9949685546937665, -4.7766110259015075, -4.55825349710925, -4.339895968316993, -4.121538439524736, -3.9031809107324786, -6.308897943709967, -6.09054041491771, -5.872182886125451, -5.653825357333194, -5.435467828540936, -5.217110299748679, -4.998752770956422, -4.780395242164164, -4.562037713371906, -4.343680184579648, -4.125322655787391, -3.906965126995134, -6.312682159972622, -6.094324631180365, -5.875967102388106, -5.657609573595849, -5.439252044803592, -5.2208945160113345, -5.002536987219077, -4.784179458426819, -4.565821929634561, -4.347464400842304, -4.129106872050047, -6.534823905027535, -6.316466376235278, -6.0981088474430205, -5.879751318650762, -5.661393789858504, -5.443036261066247, -5.22467873227399, -5.006321203481733, -4.787963674689475, -4.569606145897217, -4.351248617104959, -4.132891088312702, -6.53860812129019, -6.320250592497933, -6.101893063705676, -5.883535534913419, -5.66517800612116, -5.446820477328902, -5.228462948536645, -5.010105419744388, -4.791747890952131, -4.573390362159873, -4.355032833367615, -6.760749866345103, -6.542392337552846, -6.324034808760588, -6.105677279968331, -5.887319751176073, -5.668962222383816, -5.450604693591558, -5.2322471647993005, -5.013889636007043, -4.795532107214785, -4.577174578422528, -4.358817049630271, -6.764534082607758, -6.546176553815501, -6.327819025023244, -6.1094614962309866, -5.891103967438728, -5.672746438646471, -5.454388909854214, -5.236031381061956, -5.017673852269699, -4.7993163234774405, -4.580958794685183, -6.986675827662673, -6.7683182988704145, -6.549960770078156, -6.331603241285899, -6.113245712493642, -5.894888183701384, -5.676530654909127, -5.458173126116869, -5.239815597324611, -5.021458068532353, -4.803100539740096, -4.584743010947839, -6.990460043925328, -6.77210251513307, -6.553744986340813, -6.3353874575485545, -6.117029928756297, -5.89867239996404, -5.680314871171782, -5.461957342379525, -5.2435998135872675, -5.0252422847950085, -4.806884756002751, -4.588527227210494, -6.994244260187983, -6.775886731395725, -6.557529202603468, -6.33917167381121, -6.120814145018953, -5.902456616226695, -5.684099087434437, -5.46574155864218, -5.247384029849923, -0.011118801180469205, 0.0031890218468938335, 0.0027904129220013766, 0.010105152848065265, -0.005808781340235147, -0.005251698071781476, -0.0057138016575414155, -0.009240828377471049, -0.026125490126936015, 0.009503696823969031, 0.008164450809513273, -0.01523875997615861, -0.0042804606417623445, -0.007424068371191725, -0.007033438017074073, -0.021396206560762396, -0.0062947496092425085, 0.0059772046691260825, 0.02559488031037793, 0.003942330218796011, 0.0012221916522267957, -0.005154356620924533, -0.006002538501059117, 0.009474398210466388, 0.002910340012621821, -0.006355597402746391, -0.01021552194675598, -0.0016175538639752096, -0.005336488038424868, -0.00005527862320126283, -0.0022945045383195653, 0.003893489132561233, -0.012651191139226421, -5.695451736222403, -5.477094207430146, -5.258736678637889, -5.040379149845632, -7.44609618282312, -7.227738654030863, -7.009381125238604, -6.791023596446347, -6.572666067654089, -6.354308538861832, -6.135951010069575, -5.917593481277317, -5.699235952485059, -5.480878423692801, -5.262520894900544, -7.668237927878033, -7.449880399085775, -7.231522870293518, -7.01316534150126, -6.794807812709002, -6.576450283916745, -6.3580927551244875, -6.13973522633223, -5.921377697539972, -5.703020168747715, -5.484662639955457, -5.2663051111631995, -7.672022144140688, -7.453664615348431, -7.2353070865561735, -7.016949557763915, -6.798592028971657, -6.5802345001794, -6.361876971387143, -6.143519442594885, -5.9251619138026275, -5.70680438501037, -5.488446856218112, -7.8941638891956005, -7.675806360403343, -7.457448831611086, -7.239091302818829, -7.020733774026571, -6.802376245234313, -6.584018716442055, -6.365661187649798, -6.14730365885754, -5.928946130065283, -5.710588601273026, -5.492231072480768, -7.897948105458256, -7.679590576665999, -7.461233047873741, -7.242875519081484, -7.024517990289226, -6.806160461496969, -6.587802932704711, -6.3694454039124535, -6.151087875120195, -5.932730346327938, -5.714372817535681, -5.496015288743424, -7.901732321720911, -7.683374792928654, -7.465017264136397, -7.2466597353441395, -7.028302206551881, -6.809944677759624, -6.591587148967367, -6.373229620175109, -6.154872091382851, -5.9365145625905935, -5.718157033798336, -8.123874066775825, -7.9055165379835675, -7.687159009191309, -7.468801480399052, -7.250443951606794, -7.032086422814537, -6.8137288940222795, -6.595371365230022, -6.377013836437764, -6.158656307645507, -5.940298778853249, -5.721941250060992, -8.12765828303848, -7.909300754246223, -7.690943225453966, -7.4725856966617075, -7.25422816786945, -7.035870639077192, -6.817513110284935, -6.599155581492678, -6.38079805270042, -6.162440523908162, -5.944082995115905, -8.349800028093393, -8.131442499301135, -7.913084970508878, -7.694727441716621, -7.476369912924363, -7.258012384132106, -7.0396548553398475, -6.82129732654759, -6.602939797755333, -6.384582268963076, -6.166224740170819, -5.94786721137856, -8.353584244356048, -8.13522671556379, -7.9168691867715335, -7.698511657979276, -7.480154129187019, -7.26179660039476, -7.043439071602503, -6.825081542810246, -6.606724014017988, -6.388366485225731, -6.170008956433474, -8.575725989410962, -8.357368460618703, -8.139010931826446, -7.920653403034189, -7.702295874241932, -7.483938345449674, -7.265580816657417, -7.047223287865158, -6.828865759072901, -6.610508230280644, -6.3921507014883865, -6.173793172696129, -8.579510205673618, -8.361152676881359, -8.142795148089101, -7.924437619296844, -7.706080090504587, -7.48772256171233, -7.2693650329200725, -7.0510075041278135, -6.832649975335556, -6.614292446543299, -6.395934917751042, -8.80165195072853, -8.583294421936273, -8.364936893144016, -8.146579364351757, -7.9282218355594996, -7.709864306767242, -7.491506777974985, -7.273149249182728, -7.054791720390471, -6.836434191598212, -6.618076662805954, -6.399719134013697, -8.805436166991186, -8.587078638198928, -8.368721109406671, -8.150363580614412, -7.932006051822155, -7.713648523029898, -7.4952909942376404, -7.276933465445383, -7.058575936653126, -6.840218407860868, -6.62186087906861, -6.4035033502763525, -8.809220383253841, -8.590862854461584, -8.372505325669326, -8.15414779687707, -7.93579026808481, -7.717432739292553, -7.499075210500296, -7.280717681708039, -7.0623601529157805, -6.844002624123523, -6.625645095331265, -9.031362128308754, -8.813004599516496, -8.594647070724239, -8.376289541931982, -8.157932013139725, -7.9395744843474665, -7.721216955555208, -7.502859426762951, -7.284501897970694, -7.066144369178436, -6.847786840386179, -6.629429311593921, -9.035146344571409, -8.816788815779152, -8.598431286986894, -8.380073758194637, -8.16171622940238, -7.943358700610122, -7.725001171817864, -7.5066436430256065, -7.288286114233349, -7.069928585441092, -6.851571056648834, -9.257288089626323, -9.038930560834066, -8.820573032041807, -8.60221550324955, -8.383857974457293, -8.165500445665034, -7.947142916872777, -7.728785388080519, -7.510427859288263, -7.292070330496005, -7.073712801703748, -6.855355272911489, -9.261072305888977, -9.042714777096721, -8.824357248304462, -8.605999719512205, -8.387642190719948, -8.169284661927689, -7.9509271331354325, -7.732569604343174, -7.514212075550918, -7.29585454675866, -7.077497017966403, -9.483214050943891, -9.264856522151632, -9.046498993359377, -8.828141464567118, -8.60978393577486, -8.391426406982603, -8.173068878190346, -7.954711349398088, -7.73635382060583, -7.517996291813573, -7.299638763021315, -7.081281234229058, -9.486998267206546, -9.268640738414287, -9.050283209622032, -8.831925680829773, -8.613568152037516, -8.395210623245259, -8.176853094453001, -7.958495565660744, -7.740138036868485, -7.521780508076229, -7.303422979283971, -7.085065450491713, -9.490782483469202, -9.272424954676945, -9.054067425884687, -8.835709897092428, -8.617352368300171, -8.398994839507914, -8.180637310715657, -7.962279781923399, -7.7439222531311405, -7.525564724338884, -7.307207195546625, -9.712924228524116, -9.494566699731857, -9.2762091709396, -9.057851642147343, -8.839494113355084, -8.621136584562826, -8.40277905577057, -8.184421526978312, -7.966063998186054, -7.747706469393798, -7.5293489406015395, -7.310991411809281, -9.716708444786772, -9.498350915994513, -9.279993387202255, -9.061635858409998, -8.843278329617739, -8.624920800825482, -8.406563272033225, -8.188205743240967, -7.969848214448709, -7.751490685656453, -7.533133156864195, -9.938850189841682, -9.720492661049427, -9.502135132257168, -9.28377760346491, -9.065420074672653, -8.847062545880396, -8.628705017088137, -8.41034748829588, -8.191989959503623, -7.973632430711365, -7.755274901919108, -7.53691737312685, -9.942634406104338, -9.72427687731208, -9.505919348519823, -9.287561819727566, -9.069204290935309, -8.850846762143052 ]
[ 0, 0.5582072831356034, 1.0594466579668202, 1.4526279747475013, 1.6977730343160544, 1.7701274605676274, 1.6627067658851862, 1.387014740584697, 0.9718602782975887, 0.46039432964795357, -0.09432825933524124, -0.6348055484802253, -1.1050026992792916, -1.4561152759827565, -1.6515888826063092, -1.6708788541168462, -1.5115633085181, -1.189592227346657, -0.737646946047218, -0.20177878458166745, 0.3633274568102749, 0.89997797585657, 1.3534039294014526, 1.6773945552934513, 1.8390500748901675, 1.8221655287363394, 1.628897509785366, 1.2795423666492456, 0.8104486892085851, 0.2702787824579213, -0.2849963550102206, -0.7978537693870619, -1.2151349125133182, -1.4935131132910942, -1.6039498170632753, -1.5346812580270481, -1.292428378242732, -0.901705550157449, -0.4022992021912605, 0.15482432319772038, 0.7127607923377749, 1.2145208294127328, 1.6088914224688293, 1.855703316380013, 1.9299625287468618, 1.824421052390517, 1.550322341513322, 1.1362449064846198, 0.6251629563094144, 0.07002640876872623, -0.4716851251857471, -0.9438742469859982, -1.297595512253615, -1.4960895770426923, -1.5185639744772157, -1.3623316598167452, -1.043087369448663, -0.5932933696187506, -0.05884062452155858, 0.5056712093640167, 1.0425494987680788, 1.49694246911731, 1.8224808507760117, 1.9860470791662066, 1.9711815250727225, 1.7797754161607764, 1.4318763286602687, 0.9636262548659449, 0.42354432116826124, -0.13246351199844542, -0.646854503934467, -1.0663675343269379, -1.3475011290422105, -1.4609876829377528, -1.3948036951220375, -1.1554064067295706, -0.7670696500423968, -0.26938721847112385, 0.2867994582073515, 0.844630484966772, 1.3470756861859488, 1.7428003039938806, 1.9914449091330206, 2.06777647281899, 1.9642836518795808, 1.691949355859595, 1.2791211357088192, 0.7685955772926427, 0.21321657686150702, -0.3295597735721348, -0.8035746763458098, -1.1597426884853521, -1.3611002705796744, -1.386607568804964, -1.2333124076784254, -0.9166539216847445, -0.4688745965318472, 0.06429595459123544, 0.6283443981725907, 1.1655805142214375, 1.6210707804613385, 1.948288423477683, 2.1138988154791463, 2.1011880271151293, 1.9117819014519188, 1.5654788382178755, 1.0982134868607023, 0.5583607874808483, 0.001760497915349657, -0.5140260536792288, -0.9356362839426977, -1.219394818486146, -1.3358056033928136, -1.2725856395793782, -1.0359283131463224, -0.6498663851536667, -0.15380015885415343, 0.4015549416755204, 0.9593845802278311, 1.4626190048812346, 1.8598028144892267, 2.110387275650856, 2.188900862642117, 2.087569070252942, 1.8171140454830126, 1.4056517940551454, 0.8958003867073923, 0.3402965931979818, -0.2034282162483061, -0.6791550204783958, -1.0376594039754834, -1.2417744014640428, -1.270213204818048, -1.1197585576785642, -0.8055936532813268, -0.3597405018570736, 0.17223361472961102, 0.7359028520465704, 1.273580636573869, 1.7302528729693485, 2.0592362804921853, 2.226979885083835, 2.21651582210532, 2.0292045263757292, 1.6845948125221122, 1.2184132367135425, 0.6788895387579883, 0.12179610167482363, -0.3952883677506739, -0.818900943188261, -1.1051932651049534, -1.2244414458367276, -1.16410323881256, -0.9301080347278553, -0.5462470054598287, -0.051726120888633376, 0.5028662832747431, 1.0607626413129774, 1.56485484195409, 1.963567938721246, 2.2161647609536117, 2.296935833505237, 2.197843661810454, 1.9293494112415523, 1.519336954800009, 1.010244953422785, 0.4547019413374864, -0.08988664157043558, -0.5672427336471748, -0.9280039818267828, -1.134800774764233, -1.1660997936843969, -1.0184187625036505, -0.7066846048504922, -0.26269817067449697, 0.26813656099818933, 0.8314823938051205, 1.3696576286367117, 1.827568768346441, 2.1583770196433534, 2.3283157788274407, 2.3201636113814237, 2.1350155211205717, 1.7921703296113773, 1.327145749156781, 0.7880253038626674, 0.2305128267343297, -0.287796810336157, -0.7133414645002072, -1.0021007140307021, -1.124123461470795, -1.0666084729873826, -0.835221013052162, -0.45351015540851825, 0.03951329870843834, 0.5933891781660622, 1.1513978947205326, 1.6563941918769325, 2.0566846747313514, 2.311344602723979, 2.394427100389529, 2.29763185866232, 2.031158844392695, 1.6226592119992325, 1.1143913185151564, 0.558874352716996, 0.013486613026922778, -0.4654359857102297, -0.8283941938124358, -1.0378165409202447, -1.0719236494027395, -0.9269682930874156, -0.6176208058893989, -0.1754602001359966, 0.35427381330650626, 0.9173338405675934, 1.4560442821370483, 1.9152334094021697, 2.2479079120277974, 2.420086275342117, 2.4142938632471447, 2.2313602289758636, 1.8903337959649529, 1.4265226841205583, 0.8878631872049092, 0.32998941217297134, -0.18948882009567547, -0.6169112810067717, -0.9080864154173726, -1.032836546994366, -0.9781017224697617, -0.7492829569504619, -0.36968672427386007, 0.12187217208881695, 0.6750627970921752, 1.233214743973897, 1.7391468240005294, 2.141048291352325, 2.3978077050318736, 2.4832413415410963, 2.388786255919811, 2.1243810033450146, 1.717443436957911, 1.2100507178689366, 0.6546115800902648, 0.10847596834906448, -0.3719635395109161, -0.7370718426561016, -0.9490764046505001, -0.9859522475954832, -0.843687272036855, -0.5366949090416333, -0.0963316621867576, 0.4323279861710663, 0.9951275957022226, 1.5343988901054555, 1.9948930798671949, 2.3294633349773193, 2.5039139516243596, 2.5005174644203927, 2.319837960709906, 1.9806730647034652, 1.5181205585077056, 0.9799684927258284, 0.4217800724298607, -0.0988211502036691, -0.5280779949210809, -0.8216287067848889, -0.9490696675020317, -0.8970824788600535, -0.6708037902236778, -0.29329698004108407, 0.1968199698131854, 0.7493464280333325, 1.307662371200627, 1.8145518909990952, 2.2180879896150607, 2.4769733979687314, 2.5647881007862194, 2.472706700349096, 2.2104061315286483, 1.8050703674318092, 1.2985944840755002, 0.7432756527578239, 0.19643425191788888, -0.2854816699421967, -0.6527022101142234, -0.8672545642039852, -0.9068686187443443, -0.7672674843134928, -0.46260738232172915, -0.024021642053330683, 0.503581438632678, 1.066137521219531, 1.605986875229318, 2.0678048216156952, 2.404292010495533, 2.581039274477857, 2.58006669573253, 2.401672885244262, 2.06440427143591, 1.60314755690003, 1.065541538648826, 0.5070773447942066, -0.014608959907521535, -0.44566438040886114, -0.7415578999198488, -0.8716606005955512, -0.8223959199404488, -0.5986360314869837, -0.22320072863896456, 0.2654896473190005, 0.8173658330505621, 1.3758593886207873, 1.8837208988757652, 2.288908214752825, 2.549939114749354, 2.640157852453407, 2.550476765467225, 2.2903109646566833, 1.8866099686906221, 1.3810858825853798, 0.8259232087534687, 0.27841154680178504, -0.2049467781940819, -0.5742481143451058, -0.791320192213388, -0.8336482332017227, -0.6966906473834711, -0.39434614568500226, 0.042475777189976305, 0.569033959827397, 1.131357311328994, 1.6717958689642036, 2.1349502366256563, 2.4733695470912584, 2.652431898979466, 2.6539053037257703, 2.4778228906256885, 2.1424795005980157, 1.6825500190081284, 1.1455229815434185, 0.5868162653480853, 0.0640772283247506, -0.3687464590252877, -0.6669554600261951, -0.799696204894869, -0.7531342534105137, -0.5318771992081214, -0.15850076656949774, 0.32877315820414643, 0.880007740784129, 1.4386873233620372, 1.9475301969996512, 2.354380164172585, 2.6175709301400696, 2.710211582594624, 2.6229523877091374, 2.3649464338105743, 1.9629082153169235, 1.4583659838421592, 0.9033904687626176, 0.3552392786001708, -0.12953218058655014, -0.500887563605688, -0.7204559434618081, -0.7654783523907633, -0.6311485953688423, -0.3311075778002015, 0.10395969540815175, 0.6294801473663862, 1.1915770783012856, 1.732611514625379, 2.1971105169062035, 2.5374727060110405, 2.718864180350337, 2.7228012673634074, 2.5490516146447697, 2.215658088919583, 1.7570830248011764, 1.220663691806084, 0.6617435433641343, 0.1379800105645076, -0.296585702266398, -0.5970868843780546, -0.7324459666974483, -0.6885709235711099, -0.4698046705452019, -0.09847838413847021, 0.3873853142571927, 0.937983077291931, 1.4968532265494237, 2.006682972787182, 2.415203174967279, 2.6805643479413606, 2.7756409834795472, 2.690821474878361, 2.4349966946970856, 2.034645548025566, 1.5311115543285618, 0.9763505679686787, 0.42758699457455873, -0.05857187575718292, -0.431958063447726, -0.6540027958622223, -0.7017033974264948, -0.5699891692511065, -0.2722429218570117, 0.1610754798918118, 0.6855619879364836, 1.2474354349246284, 1.78906905736565, 2.2549175475877306, 2.597230022957744, 2.7809613197467002, 2.7873764732641098, 2.6159776548142064, 2.284555375377684, 1.827358689596639, 1.2915725989814464, 0.7324649618854926, 0.20770206222338994, -0.22858250564936622, -0.5313556064474794, -0.6693163293820255, -0.6281153612945607, -0.41183084723437746, -0.042548942671332135, 0.44190780144300423, 0.9918705797091145, 1.5509328890529839, 2.0617520738963493, 2.4719471568583957, 2.7394863489263352, 2.8370101207231477, 2.7546451966035805, 2.5010200455207423, 2.10237742298758, 1.599875241325292, 1.0453533801815509, 0.49600183103042217, 0.008478569809519332, -0.36691785137062594, -0.5914216304938191, -0.6417868708421444, -0.5126784766401586, -0.2172208797756654, 0.21435184026484666, 0.7378056048376822, 1.2994559181425414, 1.841689447340121, 2.308889692998667, 2.653157280422019, 2.8392365261474914, 2.848141570406761, 2.6791091191119545, 2.349676951159235, 1.8938801163853178, 1.3587503495527355, 0.799478744049213, 0.2737392159379901, -0.16424339627432993, -0.46927048595652954, -0.6098184630304879, -0.5712810303308238, -0.3574714757295798, 0.009769534329932661, 0.4928203205121401, 1.0421476713725584, 1.601401453844788, 2.113210360499738, 2.525082687038358, 2.7948052308725106, 2.894785021096446, 2.8148873224867614, 2.563478017997803, 2.1665631582076514, 1.6651141771219642, 1.1108538823197036, 0.5609366404825998, 0.07206991401323215, -0.305318237170237, -0.5322658022033357, -0.5852841551429595, -0.45877391600692796, -0.16560085987135276, 0.2642273596093614, 0.7866475700930164, 1.3480730843185882, 1.8909052202713088, 2.3594574646501485, 2.705682965183228, 2.8941162654427504, 2.9055210128541247, 2.7388684643641055, 2.41144329570405, 1.9570658315117488, 1.4226135442160777, 0.863199593885693, 0.3365043078065557, -0.10315737926148305, -0.4104223461202128, -0.5535449906297714, -0.5176623406422596, -0.30632274586431474, 0.05887907898330336, 0.5405231230211262, 1.0892128178108038, 1.6486555936847016, 2.161452706373464, 2.5750028363493214, 2.846912261500283, 2.9493551538744844, 2.8719355334925654, 2.622756520400608, 2.2275869098193777, 1.7272107901397227, 1.1732328019226252, 0.6227704770990463, 0.1325795640395495, -0.24678343706937622, -0.47616113127510573, -0.5318226605389484, -0.40790447901828086, -0.1170134323460732, 0.31106988724539353, 0.8324541469146454, 1.3936516027864843, 1.937079443466549, 2.4069823210897567, 2.7551669233517577, 2.945958772003923, 2.9598714291750072, 2.795610724828589, 2.470207865745823, 2.017267735454398, 1.4835125516666468, 0.9239763743661709, 0.3963447209373837, -0.04497852747362563, -0.35446669542535547, -0.5001528407054354, -0.466917630702784, -0.2580444016399761, 0.10511854091395101, 0.5853536470464588, 1.133402037425879, 1.693029897896826, 2.206812262885115, 2.6220393115870713, 2.896137700184916, 3.0010493330378756, 2.9261172057091263, 2.679181503935645, 2.2857732221280687, 1.7864882396757802, 1.232811937621131, 0.6818238039129443, 0.19032667131766123, -0.190995590020955, -0.4227910300107489, -0.48108706082754793, -0.3597560947587932, -0.07114578089579782, 0.35519098068366306, 0.8755356261494336, 1.436500487715466, 1.980519844017714, 2.451770693342497, 2.8019142839485127, 2.9950678712892707, 3.011495344954435, 2.849637135480014, 2.5262706202318688, 2.074784530232452, 1.5417448393360296, 0.982105342304789, 0.453555525342657, 0.010587064186910133, -0.30111077530864305, -0.44935038757863954, -0.41875639953991795, -0.21234706426689254, 0.14877617399220378, 0.6275990144733643, 1.1750013100942274, 1.7348091930399148, 2.2495726924797994, 2.666474602544496, 2.942762859290104, 3.05014769362222, 2.9777113024316666, 2.7330307712732074, 2.341398753289935, 1.8432220594294981, 1.2898657212009488, 0.7383699741066826, 0.24558353270186406, -0.13768343595850818, -0.371885259748473, -0.4328081285240626, -0.31406054232113534, -0.027730692115976785, 0.39685684004329824, 0.9161571851537809, 1.476883882066957, 2.021489518462032, 2.494084620888554, 2.8461860218092045, 3.0417034702769046, 3.06065160135216, 2.901205479284215, 2.5798882968992114, 2.129871925862107, 1.5975651103027042, 1.037840216291801, 0.5083894774565845, 0.06379121043912095, -0.2501036958006817, -0.40088765376842406, -0.3729295753532491, -0.16898256646170462, 0.1900992368891039, 0.6675055669309358, 1.2142560490044163, 1.7742379511638307, 2.2899775138694998, 2.70855126463944, 2.9870293247382995, 3.096890850728369, 3.026957472106023, 2.7845430139121365, 2.3947012525824256, 1.8976490751567168, 1.3446300761159897, 0.7926440308546086, 0.29858433210909596, -0.08661363190195992, -0.3232113042546678, -0.3867541650860118, -0.2705869374141594, 0.013461901952344979, 0.4362967100082361, 0.9545472346900542, 1.5150293498647558, 2.060215170854222, 2.5341499359643205, 2.888207088534045, 3.086089635481375, 3.1075633805994167, 2.9505380605849503, 2.631282333956733, 2.182750510736814, 1.651193122768141, 1.0913999456597858, 0.5610647389835086, 0.11485130474042093, -0.20122881575558482, -0.35454873918711916, -0.32922199329821944, -0.12773647844578173, 0.22930141923489744, 0.7052862444745424, 1.251378432228735, 1.8115275746312325, 2.328237340462057, 2.748479111307326, 3.0291461027170605, 3.1414870008914497, 3.0740631047052425, 2.83392482390607, 2.4458865278185793, 1.9499743281084712, 1.3973092972836831, 0.8448495438042113, 0.3495319340137426, -0.03758400112624338, -0.2765676612342165, -0.3427243344466775, -0.22913510760361633, 0.05263150718708287, 0.473709422108756, 0.9909039204313599, 1.5511343372297128, 2.0968935336331187, 2.5721626445602954, 2.9281727539153453, 3.1284208951048607, 3.1524244691658256, 2.9978279295756955, 2.680645056148667, 2.2336118995660175, 1.7028198001532686, 1.1429747830166734, 0.6117709121434096, 0.16395631751985618, -0.15429778135854155, -0.31014589611878485, -0.28744650666780736, -0.08842225506439383, 0.2665686588249181, 0.7411263673792187, 1.2865531493613047, 1.8468621078582865, 2.364535557459143, 2.7864408567080137, 3.069295228245952, 3.1841174967551034, 3.119208872757019, 2.881356201487595, 2.495133919809323, 2.0003765165706593, 1.4480814599391576, 0.8951639854802822, 0.3986032276343672, 0.009581779040114036, -0.23177856188559498, -0.300543414098865, -0.18953037469899603, 0.08995225391981787, 0.5092685503990995, 1.0254002480045337, 1.5853712670040379, 2.1316964320464766, 2.608293960860866, 2.9662536106050004, 3.168867214144239, 3.195404203515505, 3.04324379891248, 2.728144562430091, 2.2826235923177407, 1.752612061508882, 1.1927310863260612, 0.6606738136214948, 0.21127154219319277, -0.10914580784892047, -0.26751483848614965, -0.2474393235106236, -0.0508765995646292, 0.3020637508723325, 0.7751882186102507, 1.3199419573951021, 1.8804027667828975, 2.399032825099637, 2.822596592926847, 3.1076362165158793, 3.2249412727289792, 3.162553131497046, 2.92699492989352, 2.5426006520354854, 2.0490123205555295, 1.4971027195185767, 0.9437430065303942, 0.44595337770970844, 0.05503840368986679, -0.18868976856085196, -0.2600576167246593, -0.15161940018880116, 0.12557702785745306, 0.5431265188981769, 1.058188167108822, 1.6178915997103285, 2.164774822104838, 2.642694322351498, 3.002599566530362, 3.2075779642692335, 3.2366514176003203, 3.0869339689737822, 2.7739286291429552, 2.3299328554599392, 1.8007166809712554, 1.2408151567214556, 0.7079192908862172, 0.25694239012992015, -0.06562790576160649, -0.22651098915848578, -0.20905627486405365, -0.014955752614006279, 0.3359300383430588, 0.8076147136504944, 1.3516873301775945, 1.9122915680849892, 2.4318706877797416, 2.857087379128779, 3.144309632209656, 3.2640983946071556, 3.2042354489157256, 2.970980085969784, 2.5884253219386686, 2.0960198739062728, 1.544510764702711, 0.9907238698329048, 0.4917192397964736, 0.09892233694597485, -0.1471651967218357, -0.22113123059535456, -0.1152668439635991, 0.15964079315636615, 0.5754179065796325, 1.0894018585412621, 1.6488291027272535, 2.196262042027727, 2.67549662364842, 3.0373430612229644, 3.244685122764242, 3.2762976245274507, 3.1290294923655804, 2.818127857470416, 2.375669852472691, 1.8472634014413718, 1.2873563354618605, 0.7536363025285219, 0.30109745448183833, -0.02361583350259089, -0.1870064488262042, -0.17216979982349834, 0.019467506539913026, 0.36829439480819004, 0.8385323674675189, 1.381915409595215, 1.942654264688737, 2.4631744939733293, 2.890038145996197, 3.179439978556513, 3.3017129333369195, 3.2443794643386097, 3.013434883658791, 2.6327307294118327, 2.1415215778852024, 1.5904276161968751, 1.0362282345612388, 0.5360221297101031, 0.14135456687227532, -0.10708417446995999, -0.18364389345056753, -0.08035265245427659, 0.19226329011447185, 0.6062621309839231, 1.1191604038161937, 1.6783025060057188, 2.2262764541414444, 2.706818844667084, 3.0706016803421727, 3.280305873492665, 3.3144596040489045, 3.169646748019761, 2.8608582342265994, 2.419950191412977, 1.892367469005182, 1.332469525288436, 0.7979394266357237, 0.34385100565446414, 0.017004385298322156, -0.1488875260982483, -0.1366664883060924, 0.05250630471692941, 0.39926965658159363, 0.868053714217053, 1.4107384129189509, 1.9716027408277736, 2.4930557790917014, 2.9215600664575794, 3.213138056004248, 3.337895311708551, 3.283095223206331, 3.0544689969430037, 2.6756261879771293, 2.185626400656838, 1.6349619145909984, 1.0803644324905677, 0.578970088347339, 0.18244285888105316, -0.06833920048392828, -0.14748836171338175, -0.04676983905642329, 0.22355124360497625, 0.6357656455770949, 1.1475699715171916, 1.7064176774796873, 2.254923609415293, 2.736766204348662, 3.102480298657754, 3.314544739199422, 3.351241524248204, 3.208889552328254, 2.902223232501137, 2.462877015131566, 1.9361317127849635, 1.3762572599720602, 0.8409309200948777, 0.38530504042713387, 0.05633450078546187, -0.11205270856746385, -0.10244506211963933, 0.08426168379146115, 0.4289566218205665, 0.8962792965178265, 1.4382566123111409, 1.9992369818402211, 2.521614225625426, 2.9517525062345253, 3.245502903226394, 3.372744235879012, 3.3204810991707356, 3.0941804725678956, 2.7172094281914347, 2.2284317714303286, 1.6782108052904, 1.12322934377293, 0.6206597483580738, 0.22228361335352687, -0.030834095398138306, -0.11256867081505928, -0.014422653349605463, -0.07879860712431075, 0.005517533426960597, 0.26096340806863894, 0.66117788381306, 1.1649099538842682, 1.7202615027855679, 2.2700251520891976, 2.757568176679146, 3.132657316519797, 3.3566253880591432, 3.4063482968650525, 3.2766234061872357, 2.980704640520591, 2.548939287482687, 2.0256467062097188, 1.4645599746121833, 0.9232993130292391, 0.4574457059406618, 0.11482426398758361, -0.06941470374096137, -0.07641098361723753, 0.09446572408768539, 0.42555097722712243, 0.882702421976442, 1.4188114158514105, 1.9786482646804977, 2.5045427292625155, 2.9423155479451886, 3.2468509037730344, 3.3867366945620647, 3.3474953429731724, 3.1330728500011915, 2.765432939149952, 2.2822980345405273, 1.7332694187834903, 1.174725621703295, 0.6640237528978645, 0.2536001850146614, 0.01677493985444567, 0.2824959661167077, 0.6911221113915431, 1.200712805743761, 1.758942958125395, 2.3084847178828873, 2.7929037821142844, 3.162463799492196, 3.3792418736673078, 3.421029024433775, 3.283614434848842, 2.98121854400149, 2.5450304407967854, 2.0199999913219138, 1.4602146372029199, 0.9233363723555257, 0.4646710684395934, 0.13148013315174323, -0.04188043902941119, -0.03749366332958837, 0.1442756304948951, 0.48481832189600493, 0.9491949924321298, 1.4897295290548476, 2.0509127270488094, 2.5751115452769993, 3.008496803106463, 3.3065796411376556, 3.438787307444592, 3.3916076387137752, 3.1699788188367837, 2.79678147494681, 2.310485350041636, 1.7611925975698832, 1.205484654643815, 0.700602705352953, 0.2985602875150948, 0.0407935754115043, -0.04610043021537025, 0.04690053250050652, 0.3103160253466202, 0.7171379960045857, 1.2256086212619879, 1.7835151996126355, 2.333560353217539, 2.819255201047639, 3.190729376186574, 3.40986031304859, 3.454194244992279, 3.3192556283024235, 3.0190074627315036, 2.5844151635274546, 2.0602616941606633, 1.5005415310056407, 0.9629072017786023, 0.502739584603344, 0.16745185169604526, -0.008387089245488033, -0.0066080901761527144, 0.1726894968603292, 0.5111480384386866, 0.97403974658323, 1.5138385153421035, 2.0751080951255774, 2.6002038443298203, 3.0352016193875024, 3.3354440026525713, 3.470133425250232, 3.4254997711678383, 3.206216666892502, 2.834920787801141, 2.3498836217973302 ]
74
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Cutoff Anomaly", "Flip Anomaly", "Speed Up/Down Anomaly" ]
You already know both time series have an anomaly. You should treat them separately and check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
477
null
Seasonal stationarity refers to a time series where statistical properties remain constant within seasons but may vary between seasons. Does the time series exhibit seasonal stationarity?
[ "No", "Yes" ]
No
binary
null
null
37
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Sine Wave", "Linear Trend", "Gaussian White Noise" ]
Determine if the statistical properties of the series are constant within seasons across years.
Pattern Recognition
Stationarity Detection
478
[ -0.24437104728510473, 0.24944519285041045, 0.25542701072914253, 1.26651444882642, 2.1017378346237003, 2.226912026785329, 2.460346878707325, 2.725546140865193, 2.367703412417362, 2.187524119060165, 1.9098878080927337, 2.3552021518091886, 2.1845241448126393, 0.8337460465435236, 0.32359702828930337, -0.40201821965742857, -1.8131652742842674, -1.5935357469379972, -2.147430462769083, -2.166885994635954, -1.8518023481642811, -0.7338809749916968, -1.0705014091248, -1.9382770713824367, -1.7474881780679163, -2.3488181873894383, -0.9421323425821102, -1.2759792393721043, -0.3034335649044127, 0.6835591199419602, 1.7850717091609196, 1.1571821944995908, 1.8289580167720791, 1.6797182591345912, 3.3612469981342583, 3.023751814475584, 2.0379537512503085, 3.1715060553895738, 2.6094073044056234, 1.3554366363965298, 1.193009744384627, 1.1219970512987607, 1.069546904371375, -0.029623105533324937, -0.8109192009288145, -1.1351928261427595, -0.5118047498440284, -0.8901953889370333, -2.1356340439339143, -3.1055862498125273, -2.3824389253633393, -2.34779229866794, -1.9154723092740689, -1.0286483878586299, -0.6404265905706734, 0.4866304353656855, -0.3935999648259936, 1.106460081181184, 1.665178375582188, 1.2841418089028678, 1.691793396009031, 2.503462456799955, 1.6577798566167044, 2.2183956603222716, 2.446849766679591, 2.8132450771966675, 2.189272397104236, 3.795681217156938, 1.9720898322207852, 0.4995824966060918, 0.9204107563277321, 0.45568542287613484, 0.4390864024083524, -0.8360007147997051, -1.385554792325291, -2.0913193219436472, -1.9520139427591467, -1.997400368391263, -1.7362247729434708, -2.1035949424716076, -1.3219032433176159, 0.1317234063130535, -0.29615941467776896, -0.9210023782357268, 1.3422904618904756, 0.4567928178922554, 1.3830984168210247, 0.7393985222173052, 3.0770419476547497, 2.4247765822991996, 2.75011003195417, 2.5119913304867243, 3.1672683919889866, 2.643754721515745, 1.5652448389434301, 2.0790142342144944, 1.2659534667723742, 2.1513796739110638, -0.21789736629666653, -0.3152817992067987, -0.5515056179735651, -1.1755299699546833, -1.548671646954227, -1.6954431662160558, -1.9756764342026172, -1.9230199470016902, -1.0267520209896919, -1.075757831206275, -1.627271258321516, -0.6328346032654777, -0.4632691703131552, -0.3957477902776593, 0.387846220117114, 0.09048687178217586, 0.6415782379273731, 1.636100884525336, 2.173161779581429, 2.39557520549005, 3.48496012826803, 3.6305584994113276, 1.8226752072793873, 2.5267641256096565, 2.529590847443774, 1.5524855327801297, 1.6175643572286909, 1.4357203092278383, 0.15640695210258937, -0.10767381449997099, -0.38350117338219525, -0.5468598947691317, -1.137735010401767, -0.3089237649133818, -0.767259405096405, -1.757785367987708, -1.1206655987557186, -1.3372937209123468, -1.181934002385113, -1.1149647806652052, -0.24672185323779405, 0.04976442426977751, 0.12274562964819602, 1.8316609270437663, 0.9735722128690151, 2.645239400174637, 2.3173841474929273, 2.537357054478046, 1.470093667990986, 3.9619782658459783, 3.227257034668025, 2.826410339455451, 2.7784002914966117, 2.6296830688791837, 1.3600860125050753, 1.311501435232971, 2.0683623391139374, 0.3776562231928431, -0.18045069529984173, -0.7779243815351187, 0.49418680026811185, -0.42823188852479016, -0.9311066219944706, -1.345009551849583, -1.1785540743982263, -1.309024568683436, -1.0103763296683461, -1.5427441128458697, -0.7946137018609081, -0.011602326988894018, -0.2364826870711698, 1.6536685014141084, 1.3981517468254487, 1.598251268715608, 2.02726981781252, 2.3348820089123214, 3.1604564801076647, 4.628840818243245, 3.601284020376981, 2.546189408779421, 2.504642634560354, 2.7863445557539426, 2.367402492484127, 2.1184350150541196, 0.6013295893621567, 0.32777759060368217, 0.3110951554760034, -0.6030969688224158, -1.587277698249466, -1.951287171562408, -1.0028872882335902, -1.3341787401030678, -1.3704032054001396, -1.6854922476754859, -0.508368676157086, -0.8906924726731358, -0.21431303207908478, 0.9084967617352626, 0.4433770640302754, 0.7331582004129759, 1.1898693765000616, 2.1868294395743844, 3.184428852662768, 2.8152692434150057, 3.656516744309879, 3.6920042982776806, 3.0022659374939056, 3.353578117563248, 2.3046821737691743, 2.0934686707183574, 2.2366058268862634, 2.4247675104632265, 0.7530282736972782, 0.44357860440580027, 0.8068572805425543, -0.02659777298224071, -0.6455735377581813, -0.8023604934858918, -1.1706042795248317, -0.9716029955418938, -0.8673088072915626, -0.23866787232700645, -0.042914183314647546, 0.032873026122145835, 0.05478103538185958, 0.30366518914575985, 0.9200156558986718, 1.2704453735088128, 1.7903992243390887, 2.671578653446662, 2.4599202989569675, 2.7200865777000045, 3.8076783606949354, 3.5763856282799615, 3.237525169691576, 3.0621079776627003, 3.3969822144425468, 3.354083637439286, 2.3389731258318713, 1.9585767340604083, 1.62525471063937, 1.3463593001979959, -0.2586620932773782, 0.03280947462565233, -0.12709365728896055, -1.466023155918186, -1.0191021963641569, -0.64760019834992, -0.35471609717405506, -1.2895124042837984, -0.7973830045136732, -0.17224803058088264, 1.0896759582843858, 0.5541728182056762, 2.185492297730298, 1.2609650488433464, 1.813341236339344, 1.702450927593416, 2.023862948642503, 3.965650536933656, 3.496614310907051, 2.984426773663045, 2.570172364366619, 3.5239415394233573, 3.46714318446043, 2.61181042830782, 2.6661136021835956, 1.7961844382895047, 1.6824028615165152, 1.3694031990961475, 0.27489018244514496, -0.3736457503178984, -0.271310748436347, -0.8852307444932509, -0.6900664515943188, -1.774178407212914, -0.43412323852778223, -0.8520905990905384, -0.46415095609295776, 0.6741773404539221, -0.6558894358118653, 0.6257292141617188, 0.6740295492824785, 1.9167424600896115, 2.299836673083429, 2.4495965582609878, 3.1274172932620052, 3.537609585201857, 4.3806646080335625, 3.262947983941757, 4.0462319480850235, 4.25578719190379, 2.474826679097028, 2.539610343360422, 2.006421200566777, 2.8005868123672992, 1.9085858384490062, 1.0216801022271365, 0.5287181440036154, 0.21752856177232643, -0.07555235434054225, -0.10508172336311528, -0.9893072720159458, -0.350374127520246, -0.5494428703297123, -1.6974959083706063, -0.49301443000859513, -0.5078587459060353, 0.5695430436461346, 1.5164885562946353, 1.262742425970579, 2.507526052473467, 1.9832267350877102, 2.085088032887887, 2.8939933569039176, 3.450668627522248, 3.646281092516449, 4.0563894043163025, 3.3822690728621034, 4.201594976095378, 3.4054476865374257, 2.8157660636193826, 2.56750887687572, 2.308511623636387, 2.143842898647353, 1.395466008498874, 1.7150523296343672, 0.723519041947549, 0.46346629197577877, -0.5684920964687642, -0.10489975823718416, 0.1502698159167156, -0.20839349973093801, -1.386600785861084, -0.05156457149883947, -0.9479248179152336, 0.0413369212191813, 0.994979524294356, 1.6714899850742486, 1.855815406182083, 3.1022861384366798, 2.106515878678405, 3.085420811591647, 3.2307900590751224, 3.812738317855861, 4.100472471860234, 4.043878241026327, 4.268775003240745, 3.9109792329305795, 4.044130632448549, 3.3826178129108055, 3.224790438023904, 2.875838431624249, 1.265136225076523, 0.5653490283349824, 0.9321072343044211, 0.40690308161940936, 0.3929127938903887, -0.07268692404028514, 0.03825164483138085, -0.2738747259595261, 0.2654596483176077, -0.43981462767201907, -0.043217351004179276, 0.8198803920125701, 1.2406107466184653, 1.3243577400451778, 1.961168566035043, 3.1873139915022666, 3.4357959586829554, 3.689261164508432, 4.013232798999706, 3.8516926141138756, 4.26719122164607, 4.4963431882023785, 3.7750137725235975, 4.3368459776592525, 3.822601613994564, 3.08914526596983, 2.470472425563342, 1.8001722973474312, 1.6428309626565367, 0.8492596952494211, 1.7286365217494022, 0.673469564389072, -0.11651592704453628, -0.5119697301712761, 0.474459433520892, -0.13901446661633243, -0.2825642153016261, -0.2615553161204302, -0.9347175741087862, 0.8316388859541533, 0.8336464493031781, 0.880485145820803, 2.3436551203683047, 1.6468663265942869, 3.5332376333773547, 3.5824390926851732, 4.273859573468238, 4.188221659033218, 4.372608151710528, 4.4326858991007825, 3.250580974881825, 4.212539213828895, 5.154842911461872, 2.857899404331534, 2.5329131099550044, 3.419653285326818, 0.9845260502947248, 0.8293885500954106, 1.035778727252463, 1.5620415583967366, 0.44675222953424204, 0.6610871714781918, -0.2847641382951027, -0.28690554316162326, -1.2239568982307736, -0.50018399825027, -0.9171185643971821, 0.36469403537959877, 0.76424056247226, 1.4818446010447217, 2.2275195934710874, 2.854120473062416, 3.783160580004324, 3.340165539273013, 4.162681873039526, 4.094952150052056, 5.119554366210376, 4.651466856261246, 4.635959349276116, 3.6825448762905517, 4.464233987118714, 3.2250757349497627, 2.870775040818066, 2.00693714147978, 3.123385787535316, 1.6218750521440135, 1.5969821521772496, 1.1221369078893084, 0.3712190308705175, -0.551749076924118, -0.9727119534307798, -0.4023581262052462, 0.2203288020286346, -0.4048631961850654, 0.48221953216047825, 0.5457549922392981, 1.088249368695593, 1.62709262993729, 2.6336544036062373, 2.365588002147889, 3.3416739823899326, 3.8470161344137446, 3.3473134662087607, 3.2779174244806906, 4.850422475957976, 4.648280267485426, 3.055218011363073, 3.716198167312448, 4.21442453952625, 3.097023123215535, 3.2152432029870996, 4.016269059790725, 2.8671198206047332, 1.569985532492304, 1.5872109082892376, 1.8337320631489735, 0.9171763479922664, 0.24345756954889813, 0.4808132773381358, 0.019198490259400583, -0.1505870876742723, -0.4764997196260238, 1.3791594459238627, 0.7457774871152318, 1.736550418926298, 1.7043048065270576, 2.637964083185633, 2.6663957383658086, 4.204493548888951, 3.8412254200858045, 3.5958651504552352, 4.741607035409032, 4.441555485935696, 4.118933766020408, 4.163756840005906, 4.164330196558295, 4.636375823700727, 3.887082759369951, 4.307416209706567, 3.0912585402007577, 2.7665800687715367, 2.3164826838620844, 1.3707893452983961, 1.3090430382125695, 0.7355864888004352, 0.49168908917386345, -0.4728444481732106, -0.22304553841061844, 0.22009868568648416, -0.05912780685650105, 0.5562584542618256, 1.3574011413535596, 1.4203767666322824, 1.0604179749136144, 3.201207868390847, 2.222270509985328, 3.7233888240839397, 4.591853884125304, 3.8598147168525547, 4.804169545089073, 3.6004009507825745, 4.758676157356468, 4.3410151794638585, 4.524100111837432, 3.6144586979715827, 4.888816845329355, 3.7847891104069684, 3.9022852190119766, 1.9916162993241384, 1.4401735497841452, 1.5607053878459296, 1.2981171456997975, 1.802791782761631, 1.0614916938096426, 1.2144283384722852, -0.1151195741453285, 0.4236717527393046, -0.17342213334398154, 1.1329071284310483, 1.579471597802221, 1.9724909714926122, 2.2475279943299276, 3.0388046836730727, 2.9979705136089807, 3.535442466560987, 4.407472164284081, 4.382753181551093, 4.565407231317206, 5.158556070615654, 5.277067802816307, 4.430063549379577, 4.492922193853138, 4.956651160570329, 4.925847088367596, 4.200599995846653, 3.461254764613125, 2.8657241891215723, 1.891257278364466, 0.8421543999885874, 1.8750594198589174, 0.8467946562889141, 0.14549410336762492, 1.3789150329290776, 0.5891357605957704, 0.19939764520059067, -0.11153502885066355, 0.9991308646656972, 1.3979506230090208, 1.0588800501521158, 1.5851381775133135, 2.8717107772641404, 3.354443780793917, 4.482080455458204, 3.6772394924372773, 4.609370665606821, 4.925039343194811, 5.259057600122675, 5.324757006350171, 4.5879743901327155, 4.611017924139378, 4.942700865611187, 4.537975780848482, 4.438199631847382, 3.23928173084848, 3.5119961055516984, 2.8047782419961695, 1.4590609741096012, 1.0300131866402795, 1.3076916404705254, 0.6790729579087915, 0.5756481550293128, 0.8497117679061353, 0.9581442458628469, 0.9214648517136577, -0.0810603971846229, 0.9871177920756846, 2.014177972998949, 1.4167813238865727, 3.4765095764112006, 3.8902057580310716, 5.264874334074404, 4.606073617822091, 4.842759234123751, 4.446253689249563, 4.487445714838857, 4.804277479292882, 5.221527317202173, 5.653365821437734, 4.512930852425874, 5.300058309269923, 3.8198704783007864, 4.242521849079414, 2.6746433443404984, 2.868945178963546, 1.734423676369024, 1.0519981919045431, 1.6254731849934037, 2.273966020953602, 0.44367910269488786, 0.8012956715391771, 0.06324913742704609, 0.6069442604504892, 0.925130902184153, 1.4878348940410742, 0.9935149084057013, 2.340413911379923, 2.9983208859343575, 3.4627071427602214, 2.897715031615905, 3.5346784116141428, 4.946727447456809, 5.58558263918745, 5.295447314270944, 5.428084923957565, 6.06001362617349, 5.524678295995079, 4.952245528731528, 4.161553842674375, 5.083997310324804, 3.899078235909367, 3.4976381794807727, 2.860150057547311, 1.9288544144624202, 1.136921029204543, 1.643666245719123, 1.7155425160436308, 1.4323398664013172, 1.3995285382182159, 0.701810131104075, 0.8796825383338968, 0.43865035822551224, 1.3225214218017303, 2.46804476210526, 2.2171613549307407, 2.446758625965744, 3.616337110798464, 3.5434978281676432, 3.55023328776384, 4.766014487931693, 5.110803788331935, 3.8464036538484305, 5.517614527041709, 5.2175840273333955, 5.341951658819681, 4.350250393701675, 4.8962970346316474, 4.544304206120219, 4.289208071325036, 3.4034483904354516, 3.4171190002302767, 1.9389907239413355, 2.0577890842197357, 1.15077719021797, 1.8102387996456242, 1.6070131128683574, 0.6717691985649121, 1.2639996385197823, 1.0580226872623322, 0.5443761706182362, 1.4850289601496862, 1.4074661155347967, 3.259808867751988, 3.3535216815338815, 3.190452266224681, 4.851819226041617, 4.610849230253498, 4.766692945643279, 4.510020007646438, 6.367997473769459, 6.337640045909918, 6.291045722329675, 5.651648591420595, 5.733126308081275, 4.889896291239044, 4.855890207992228, 4.012286468660918, 3.3007239670308195, 3.407691465158035, 2.0857228948969686, 2.7007716779237887, 1.8119801722608413, 2.0995148207611383, 1.2875532229153104, 1.0070473118992593, 1.7041675194796302, 1.169668919745999, 0.9205928596707925, 2.083571789423269, 2.2289745993135286, 3.228041528802096, 4.117738553624105, 4.380079044768813, 3.985096765007965, 4.476401583128734, 5.039602627992635, 4.037188148005013, 5.904721722677603, 5.575298580056676, 5.236664008836488, 4.812272323217515, 6.3119695245723495, 4.712205360448103, 4.224805617287525, 5.296783353587101, 3.2890817645130297, 3.490103504789425, 1.9382249792396269, 2.039206294720067, 2.9303633122400523, 1.442917811234437, 1.7017314004830277, 1.5892083728246482, 0.33996907668154813, 1.923387542548761, 1.3624400540805206, 1.7354023139744719, 3.4669996426027536, 3.3100097500449603, 3.0228930902063325, 3.6152444065047264, 4.423613457919387, 4.573099274407489, 4.972107777020161, 5.539118095678401, 6.399881492574394, 6.265497718750496, 5.531507208284984, 6.398549087026162, 6.2379199947383235, 5.229353344137686, 4.906133776083196, 5.436442914774802, 3.276332995974917, 3.9506084642263697, 3.3099170186818547, 1.821885519681958, 2.7267399597011646, 2.0175157797309855, 1.9980080554983601, 2.016084646659654, 2.098965239961612, 2.184267263822203, 2.031801789919324, 2.3962179902087013, 2.97164362310123, 2.571315524209555, 3.283435670429503, 4.349840236519675, 3.8871294198161785, 4.767684410779971, 5.38615528320725, 6.30993644380509, 6.044673289251361, 5.649859170973486, 6.278349887749384, 5.9955313533544485, 6.573781467250463, 5.27722520014142, 4.041272931342329, 4.8111482145926905, 3.90875404499155, 3.6002592133080884, 3.6660325330576096, 2.4488535940369585, 2.911398118178356, 2.713236676162804, 1.740833294899751, 2.1384286029241353, 0.7201270840968492, 1.8170636097526285, 1.212519394562246, 2.3928763058393083, 2.793040032689518, 1.9250612750168723, 3.7000591343986367, 4.129664681727769, 4.3718321139571055, 4.0397001624093996, 5.049733780949305, 5.864766904896474, 6.43934045963486, 5.229479608997731, 6.083425872665484, 6.331256590761351, 5.6790504854655355, 5.943472508898184, 4.952031573169348, 3.728786494585711, 4.684084448930317, 3.5950413284837404, 3.4042112899803345, 2.4614591846384917, 2.0429839805086294, 2.459709125395723, 2.2156770288237086, 0.7310110851832082, 2.542624061156068, 2.280157743551041, 2.342376622199513, 1.9959438205279585, 1.9029013613174628, 3.6102721426177222, 3.5936273646235857, 4.569071382860615, 5.002287720567001, 5.3814694632857965, 5.096131939621496, 6.960718227741547, 5.378910965185493, 6.888656533847422, 6.510776030579985, 6.602564332746457, 6.205150683951706, 5.7324958014981755, 4.539590875107478, 5.073333724619743, 4.295753851257828, 4.907426306937978, 3.5231777015962678, 2.6054467338946687, 2.6412092721533997, 2.487589856997036, 2.7449761197646096, 2.392058584319844, 2.1949469995911763, 2.6037982424955577, 2.87139554055944, 2.6173812822116855, 3.509335779201592, 3.9824776897986514, 3.8671582780646547, 3.9187481579050405, 4.404479981237183, 5.067568514172246, 5.198880445162882, 7.07327798791948, 5.693508756377012, 6.483887026556272, 6.125420805048043, 7.00659466978969, 6.568394108157117, 5.941408347314016, 5.702727702494391, 5.343819622475067, 4.163687405364629, 4.292423091679495, 3.9036684058849445, 3.4339620901678223, 3.793929861766192, 1.855812271839444, 2.710566165307412, 1.2168252597760536, 1.190207835730086, 1.9096381701858909, 2.864527840041461, 2.0261333776556305, 2.7802010571727545, 3.18034191960905, 3.714705523814971, 3.5013637115872283, 4.380821242579559, 5.861265366079807, 5.979637792480465, 6.511766510347417, 6.082884052225266, 6.777107334615772, 7.233327053052622, 6.882746645982254, 6.381078043719556, 6.327080413650029, 5.343185837532883, 6.282317459970357, 5.9765444170703725, 4.871853971059555, 3.8258545004666975, 4.226579766916062, 2.786452811447129, 2.6615470832685273, 1.826132754167788, 2.198712473399835, 2.3148028020805023, 1.5439762464717726, 2.6299099766595866, 2.6594229189379464, 2.44207189081877, 3.291807004997196, 4.3113706944262535, 5.07144200439816, 5.06832335218867, 4.950228605363821, 5.719626999705686, 6.700600878665854, 6.467613210765645, 6.636387869677251, 7.352737788227751, 7.426117696292126, 6.495634882269884, 6.630577857832005, 5.645935372361106, 5.249605978820796, 5.108742912892183, 5.060864882657155, 3.6628549370458425, 4.089002346887407, 3.4867229792593912, 2.7186294737368026, 2.483457304763396, 3.003924378749825, 2.517240076141511, 2.03320436112243, 2.650820470661128, 2.8874503438458214, 3.179130543076084, 2.9133550383913325, 4.256589995129025, 3.209339191715324, 4.769125525271362, 5.365441771905673, 6.452358380045214, 6.416883793890962, 5.8785841197444135, 6.573137724702556, 7.557083264455638, 6.788623862010882, 7.055774907081276, 7.01551808531073, 6.083223434175367, 5.759756872036301, 6.637107885832542, 5.187222112673897, 4.485080275804372, 3.9167553548554026, 3.4873266216063383, 3.2442165363373676, 2.38043014226678, 2.3807580125426226, 2.8135700940150814, 2.841603687369631, 2.8677605823264183, 3.388171439651918, 3.6462215631799615, 3.0732360441249513, 2.7001462269221372, 5.651984713219543, 4.835385398917904, 4.6702137829676085, 5.846357372292951, 6.224011681279597, 6.486189549953582, 6.8552311432058035, 7.259684942061588, 6.476622636793698, 7.091564751808847, 6.787593344857749, 6.096114219019964, 6.047743541879099, 6.342410976400382, 5.103242435352187, 4.988393092728074, 4.418466647937005, 3.5019257785009303, 3.2477799830040825, 2.890958324502023, 2.262017582197692, 2.835599871173282, 3.3728757040417108, 2.154595768411287, 3.265919085814683, 3.273232157873141, 3.248627224268694, 4.111889628201627, 4.406046467029893, 5.694702053523652, 6.238970127518561, 5.855004079390506, 7.338523341367163, 7.025562337307709, 7.042653672593562, 5.84220715108283, 6.803393933716205, 6.976677097955996, 7.499451448989645, 5.774454903520976, 5.468558244167915, 5.543891488779615, 5.7091541630299005, 4.439456946147548, 3.8333834031461933, 4.04053680639679, 3.9694905412777293, 2.5958412001363755, 2.516780194564368, 2.2026592983161626, 2.6981404913237075, 2.8016215450461774, 3.4302683787487385, 2.893393520298852, 4.057799782179507, 3.762270143048188, 4.684111068055881, 5.04104068590542, 5.6779689691343895, 6.436125561700546, 7.631497732406524, 7.4639252498951585, 6.484455575463559, 7.044464067185521, 6.51388721613549, 7.12698418263856, 7.938848400674413, 6.866621624237429, 5.743990581621628, 6.505972264346186 ]
You are given two time series following similar pattern. One has an anomaly and the other does not. Which time series has the anomaly, and what is the likely type of anomaly?
[ "Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat", "Time series 1 with flip anomaly: the pattern is flipped at certain point in time", "Time series 1 with speed up/down anomaly: the period of cyclic components is different from other parts of the time series" ]
Time series 1 with flip anomaly: the pattern is flipped at certain point in time
multiple_choice
[ 0, 0.3407749800074836, 0.6602484518679214, 0.938492122515773, 1.158235603877095, 1.3059797592675002, 1.3728669337042225, 1.3552519681894817, 1.2549371871712585, 1.0790562105674677, 0.8396140804842434, 0.5527133486478526, 0.23751601530927124, -0.08499176111904835, -0.3933525499262789, -0.6670209148305816, -0.8876878884136672, -1.0404612711875048, -1.114825666573664, -1.1053203625382566, -1.0118913598177741, -0.8398948530154762, -0.5997519401572632, -0.3062768200720566, 0.02227821422613005, 0.365399421053888, 0.7016340412808164, 1.009973263900514, 1.2712065722073653, 1.4691601618034387, 1.5917395950420796, 1.6317094765355789, 1.5871598874563693, 1.4616295096520162, 1.2638775023006983, 1.00731883722166, 0.7091594943039577, 0.38928726722253126, 0.06898968434673575, -0.23041830512605027, -0.4889684127376474, -0.6893262790072405, -0.8179089437862125, -0.8657604803023831, -0.8291293445959163, -0.7097102211533907, -0.514534774009586, -0.2555183461157145, 0.05130817071638505, 0.38683177730835305, 0.7300894985936733, 1.059619774951817, 1.3548459951083838, 1.5974029802850862, 1.772320906967061, 1.8689903459637538, 1.8818462059151853, 1.8107264903965048, 1.6608827411191078, 1.4426414940008199, 1.1707385725518724, 0.8633691337710393, 0.541014705939009, 0.22512283405317451, -0.06327554961099346, -0.30492189773822076, -0.48357156230370446, -0.5870410159955332, -0.6079932709435001, -0.5444108622433977, -0.3997259050972798, -0.18259884135458015, 0.09363986130293145, 0.4118490663201834, 0.7521819823865452, 1.0933655992841533, 1.4140720658325856, 1.694293603190491, 1.9166323188660739, 2.067421772767342, 2.137607992833222, 2.123333145020523, 2.02618423099488, 1.853090781073115, 1.6158781377056721, 1.3305051273595052, 1.0160352647616446, 0.6934078114670232, 0.3840879132307068, 0.1086828359253621, -0.11438649477663176, -0.2700730099289973, -0.34767351604760677, -0.34151868319074286, -0.2513385218691918, -0.08227978808798886, 0.15542580550713614, 0.4471211834020672, 0.7746687847792222, 1.1176198127502412, 1.4545324788714362, 1.7643542614826164, 2.0277790697185547, 2.22849182276404, 2.354220211770297, 2.397525841941251, 2.3562837533189, 2.2338194076596256, 2.038694310456574, 1.7841540881188676, 1.4872746003584147, 1.1678611341848184, 0.8471716436577967, 0.5465463425472528, 0.28603199406949664, 0.08308958372461128, -0.04853131408411704, -0.09967891098688608, -0.06638918042397957, 0.04985859889609778, 0.24223720562626017, 0.49901159688655305, 0.8042954151627526, 1.1390751123063916, 1.4824356698400578, 1.8129088987399877, 2.1098573997048207, 2.3548049660438695, 2.5326276639284333, 2.632528806270718, 2.648734967927874, 2.580868173174517, 2.4339702621449044, 2.218177865446795, 1.9480689399123343, 1.6417229914686078, 1.3195555684498546, 1.0030021604709083, 0.7131363461463464, 0.46931127162923625, 0.2879120379074491, 0.1812994249928932, 0.1570130464862367, 0.21728530365782572, 0.3588974722997853, 0.5733871998006399, 0.847594036013401, 1.1645078299276108, 1.5043652997217651, 1.8459240851201177, 2.1678321494695707, 2.450004252172965, 2.674916756320262, 2.8287373009315306, 2.902216512782192, 2.8912842730485178, 2.7973121000700836, 2.6270247335598746, 2.392066620041419, 2.1082512463010885, 1.7945417130452737, 1.4718282667210458, 1.1615815966780536, 0.8844687137146987, 0.6590206382660921, 0.5004377865504024, 0.4196100662046851, 0.4224148515596944, 0.5093380950177604, 0.6754429998264286, 0.9106882737771167, 1.200575447404531, 1.5270835269131653, 1.8698307288438278, 2.2073884045263563, 2.51866245135468, 2.7842531573400553, 2.9877058157105587, 3.1165714879023523, 3.163209532191331, 3.1252801624535183, 3.0058952839448976, 2.813417882377524, 2.5609228988009187, 2.2653543453276295, 1.9464329987663025, 1.6253850883772332, 1.323573933691495, 1.0611227447198315, 0.8556173665994053, 0.72097259705846, 0.6665351602543772, 0.6964811643392681, 0.8095468860289827, 0.9991102373171361, 1.25361766253137, 1.5573289455453172, 1.8913319126823613, 2.234761617852088, 2.5661454143849927, 2.8647872026662164, 3.1121016171763176, 3.292812143734925, 3.3959359295677283, 3.4154917997982475, 3.350885837637215, 3.206949671600859, 2.993629001548549, 2.7253424429041098, 2.420052021570216, 2.0981052406640126, 1.7809233659681847, 1.489620490598325, 1.24364240174902, 1.0595129958272838, 0.9497690551080666, 0.922152056202713, 0.9791091109143002, 1.1176352116406, 1.32946695107369, 1.6016152279342628, 1.9172025975314786, 2.2565512868192843, 2.598451734376348, 2.921529878084226, 3.2056250474461363, 3.433089633853881, 3.589926754744134, 3.6666925714107066, 3.6591050919892822, 3.5683202127483, 3.4008572025111254, 3.168178433902913, 2.8859504543109376, 2.573034032082319, 2.250268285264378, 1.9391272747908896, 1.6603356656769672, 1.4325326984918123, 1.2710705990262043, 1.1870248874290619, 1.186480387855251, 1.270138966460482, 1.4332742851593994, 1.6660364879743081, 1.954087178177887, 2.2795237520302614, 2.6220335013563423, 2.960203085017036, 3.272898953374713, 3.5406297358240746, 3.74680276422184, 3.8787937296443404, 3.9287605163793886, 3.8941487488336675, 3.777856460957283, 3.5880472726677275, 3.337624116972253, 3.043397444299745, 2.725001526271495, 2.403628720067901, 2.1006632898324797, 1.836302856673149, 1.6282563463509814, 1.4906023722752242, 1.4328816488607592, 1.4594819433900794, 1.569355215843729, 1.7560851814574119, 2.0083009405431644, 2.3104100106687673, 2.6436035058162464, 2.9870686630146293, 3.319330550157169, 3.6196364609671714, 3.8692937512227568, 4.052874871789334, 4.159211915249635, 4.182116562059094, 4.120779014446165, 3.979820200533513, 3.768993883308669, 3.5025578781761593, 3.19835491394596, 2.8766623901310573, 2.5588851816712843, 2.266175760246697, 2.0180705869253766, 1.8312306819487827, 1.7183675616132716, 1.6874237824002816, 1.7410609190917448, 1.8764879846826195, 2.0856413531084774, 2.3557045859567047, 2.669934652206278, 3.0087412782226677, 3.3509498470332595, 3.6751664332898053, 3.961156976082654, 4.191151680366743, 4.350990557943122, 4.431036259978351, 4.426795354740907, 4.339207999495729, 4.174587332676512, 3.944212493457476, 3.663601504972953, 3.3515108952242585, 3.028726545739302, 2.7167237166844544, 2.4362826307501635, 2.2061488630632606, 2.041824895930599, 1.9545707415950169, 1.9506780584846266, 2.031064555506566, 2.19121483136677, 2.421471462746143, 2.7076575761512762, 3.031990768954937, 3.3742294631333056, 3.712977791287372, 4.027064894652794, 4.296909715787013, 4.505783303717141, 4.640887256255686, 4.694178777023759, 4.662889159363566, 4.549702272749414, 4.362581545458964, 4.114256597175104, 3.8214026160701207, 3.503565382342535, 3.181901237238937, 2.8778132262477385, 2.611571338349282, 2.401005788464314, 2.260357581467262, 2.1993604568760516, 2.2226133972297597, 2.3292841517950835, 2.51316288813181, 2.7630625128353996, 3.063539854529058, 3.3958912175915446, 3.7393581276248025, 4.07246553952454, 4.374406239730317, 4.626382196296631, 4.8128163858110655, 4.922356975977385, 4.948609128603581, 4.890547246856312, 4.752581091003936, 4.544271500455374, 4.279714048251605, 3.9766303611100176, 3.6552256836440797, 3.3368863345982946, 3.0428010243980745, 2.792594911644301, 2.6030644549565096, 2.4870946187344383, 2.4528282358474787, 2.5031410748070995, 2.6354564515462986, 2.8419113369739306, 3.109863252076103, 3.4227052732544436, 3.760936608070348, 4.10341972605931, 4.428743002888015, 4.716601034145123, 4.949103635970517, 5.111929146977482, 5.1952476831354835, 5.194354827408771, 5.109974902950908, 4.948214279158448, 4.7201677207382104, 4.441203156742763, 4.129970977386145, 3.8072017249427654, 3.4943696863386706, 3.212308539777961, 2.9798682986117515, 2.8127001334061807, 2.722247409416539, 2.7150079828695945, 2.792115312586968, 2.949265390851362, 3.176994203963177, 3.461287835818938, 3.7844858838012647, 4.126419947709196, 4.465713798325092, 4.7811614094370185, 5.05309401761732, 5.264648081391879, 5.402852400016865, 5.459464310069309, 5.431501053913886, 5.321432065044455, 5.137019774505186, 4.890819200905345, 4.599368583270861, 4.282123233094082, 3.9602013354773433, 3.655022552086408, 3.386927189228442, 3.1738649472498235, 3.0302377818465493, 2.9659714729583913, 2.9858757531403377, 3.0893342451371035, 3.2703441970294547, 3.5179034534011313, 3.816719716187656, 4.1481963722611255, 4.491631335758222, 4.8255516210280165, 5.1290976121185645, 5.383367791000731, 5.572637235781737, 5.685371337656511, 5.714969386698015, 5.660190090762178, 5.5252315961644465, 5.3194608515447035, 5.056809761649036, 4.754877058352987, 4.433793787374741, 4.1149255477878635, 3.8194951452783097, 3.567214450666143, 3.375013661791489, 3.2559498876931228, 3.2183654138859294, 3.265349911693435, 3.3945412606483245, 3.598277824069688, 3.8640923612765903, 4.17551573607698, 4.513138609960813, 4.8558626772790126, 5.1822607807487895, 5.471958226585197, 5.706946251913821, 5.872742970963076, 5.959326958912644, 5.961783289329188, 5.880620377981179, 5.721737207497519, 5.496043045753014, 5.218754173073169, 4.908412955180614, 4.585692497960089, 4.2720639427231415, 3.988412315618005, 3.7536901613215954, 3.5836957553610307, 3.4900546583742846, 3.4794702670529203, 3.553291675470461, 3.7074267048868776, 3.9326057086174435, 4.214979145619413, 4.537010399840986, 4.878606289172582, 5.218412385032832, 5.535189638998803, 5.809183571382417, 6.023397756152073, 6.164689506195749, 6.2246171248878515, 6.19998410535622, 6.093045195302263, 5.911361043276373, 5.667310796727611, 5.377294072500098, 5.060673745248385, 4.738527707579967, 4.432290070489695, 4.1623693999524125, 3.9468330659188133, 3.8002425179807497, 3.7327145723915383, 3.7492692251615702, 3.8495060348673196, 4.027629937358845, 4.272824828204484, 4.569950829646066, 4.900520292313425, 5.243889613134959, 5.578590038156129, 5.883711659226544, 6.140251384342376, 6.332337983889539, 6.448255239414276, 6.481197236993243, 6.429707114742817, 6.29777098033405, 6.094560944061879, 5.833843833002815, 5.533093703873904, 5.212365367007951, 4.893001540428456, 4.5962569781475775, 4.3419282691192524, 4.147077637717258, 4.024933016740736, 3.984035300430623, 4.027687750366254, 4.153743048635983, 4.354741726033056, 4.618393041416057, 4.928367312044495, 5.265348616817477, 5.608280009241073, 5.935720966689488, 6.227229567142103, 6.4646802905062835, 6.63343249163719, 6.723274218708628, 6.729080533091744, 6.651143891737723, 6.495155293757036, 6.271837406592778, 5.996253322539456, 5.686835507051705, 5.364197538299217, 5.0498052399226445, 4.764592873250751, 4.527613597015361, 4.354811193524912, 4.257992242739121, 4.244065003687632, 4.3145940692192895, 4.46569950354294, 4.688306964721429, 4.9687326878153675, 5.289565617371449, 5.630789822031224, 5.971074834098715, 6.289150731517404, 6.5651793167345955, 6.7820329985477805, 6.92639893301272, 6.989637244277192, 6.968337999596124, 6.864541032784476, 6.6856044450511165, 6.443730260389911, 6.1551778144507105, 5.839215586269967, 5.516879043685821, 5.209614578711949, 4.937896952426733, 4.719909376660023, 4.570371321839281, 4.499589617097475, 4.512794014069293, 4.609800047672286, 4.7850209277640925, 5.027827695072604, 5.323234423721178, 5.652864298338396, 5.996134286985617, 6.3315820392191435, 6.638249469971239, 6.897033835647461, 7.091919204472367, 7.211008933575487, 7.247292593534704, 7.199097900105398, 7.070198519073018, 6.869570794521608, 6.610815083183246, 6.311278998911849, 5.990939087877145, 5.67111302798783, 5.37308537141626, 5.11673542259449, 4.919255706387159, 4.794043641194151, 4.749837865971535, 4.790154898390989, 4.913062440322818, 5.111303944646589, 5.3727664131122435, 5.681261268368397, 6.017567960754047, 6.360673033085743, 6.6891247663536015, 6.982416078239878, 7.222306525041377, 7.393998183311849, 7.487089607277181, 7.49624636456026, 7.421544923709586, 7.268467724606251, 7.047549749538967, 6.773699378963755, 6.465237313408744, 6.142715518024696, 5.827592327263352, 5.540849119889316, 5.3016377412403495, 5.126045867506797, 5.026059903596952, 5.008792272027647, 5.076022906146237, 5.224084505611131, 5.444098951208282, 5.72254963837382, 6.04215283358428, 6.382971881076872, 6.7237024318666325, 7.043045841963788, 7.321082202815972, 7.540554490705228, 7.687981051604407, 7.754524704458828, 7.7365624356049185, 7.635918958618214, 7.459749083008418, 7.8513814839597265, 7.6537160144736625, 7.392712140981848, 7.084528877222977, 6.748366685916898, 6.405229708894205, 6.076571721920809, 5.782913103588856, 5.542517976242003, 5.370216797874251, 5.276450307355107, 5.26659645565038, 5.340623712840661, 5.4930931007172905, 5.713508819923526, 5.986994868242316, 6.295254031408389, 6.617747424500594, 6.933018544038926, 7.220076474937185, 7.973632685636968, 8.013255383771124, 7.968362040927619, 7.84251349925603, 7.6444894285677085, 7.38772233941563, 7.089431647877311, 6.769513615098993, 6.4492587223429645, 6.149979166761302, 5.891634957240753, 5.691547179912659, 5.5632813834726145, 5.515773067576613, 5.552751650251962, 5.672500048625347, 5.867965371747068, 6.127213589629207, 6.434198867972971, 6.769797972939588, 7.11304306241243, 7.442473391088795, 7.737518790884158, 7.979825739718256, 8.154440532825836, 8.250773282712366, 8.26328060289246, 8.191822965776218, 8.041673697402723, 7.823179029169995, 7.551091121539268, 7.243617056759599, 6.921245107892194, 6.605423949439088, 6.317179955089927, 6.075761719355995, 5.897399184853533, 5.7942573688749475, 5.773652137919761, 5.837578585772871, 5.982582418532434, 6.199982637832653, 6.476431166847427, 6.794773342434011, 7.135153801250523, 7.476296468206015, 7.79687613198368, 8.076893188162407, 8.298962926257762, 8.44943624598617, 8.519279555074277, 8.504657125450118, 8.407178365858782, 8.233794070318345, 7.9963483308244205, 7.710815000532029, 7.396267929293986, 7.073651355968664, 6.764429724927085, 6.489203967185585, 6.266383448468391, 6.1109991979011395, 6.03373492329196, 6.04023827920741, 6.130756787379176, 6.300121880060359, 6.538082094986552, 6.829963942319919, 7.157617840373596, 7.500588139777237, 7.837431809742172, 8.147100776488761, 8.410298800522312, 8.61072542081337, 8.736126774240688, 8.77908554856186, 8.737499144098749, 8.614715219144374, 8.419315881071528, 8.164564435398969, 7.867550358483408, 7.548087613708745, 7.227437331910549, 6.926937199243429, 6.666625909861571, 6.463951358933078, 6.332645853135923, 6.281840848896119, 6.31547828732252, 6.432056474501138, 6.624726889135106, 6.881735676764897, 7.187181369367332, 7.522039983464038, 7.865391413146742, 8.195768057824242, 8.492538744557654, 8.7372387295623, 8.914760039495448, 9.014325416432557, 9.030183080558224, 8.96197752225897, 8.8147724202735, 8.598724208467212, 8.328427334953584, 8.02197342184403, 7.699784977482749, 7.383298846638605, 7.093584270863418, 6.8499846466223335, 6.668870541109851, 6.56258435336903, 6.538644653796977, 6.599261494789133, 6.741193938325502, 6.955958985072717, 7.2303784362559345, 7.54742843450722, 7.887336917507069, 8.228858236381512, 8.55064276978039, 8.832613240606683, 9.057259010275777, 9.21076491301321, 9.283901859180066, 9.272621794324591, 9.178318659550975, 9.007738530231846, 8.772544726028862, 8.48856592767619, 8.174775771150278, 7.852069700327863, 7.54191792909232, 7.264981350530895, 7.039779619504793, 6.881497271484575, 6.801004841948087, 6.804158090493784, 6.8914205056258915, 7.057833425677275, 7.293335702043565, 7.58341229743754, 7.91003000687082, 8.252799979522273, 8.590292098792931, 8.901416488212037, 9.166783083549484, 9.369951625466841, 9.498491491145604, 9.544783042182871, 9.506508829359406, 9.386802988456981, 9.194049196229681, 8.941340211424174, 8.645633841876512, 8.326659748794977, 8.005647561777373, 7.703958297425229, 7.441707308012481, 7.236467532686204, 7.102136646923889, 7.048041140168341, 7.078335077836639, 7.191732306887964, 7.381589368486017, 7.636333772739062, 7.9402100265184, 8.2742953212036, 8.617719403407108, 8.949009988947592, 9.2474769871152, 9.494546300344863, 9.67495721506388, 9.777746193163107, 9.796953643356574, 9.7320081099712, 9.587763112195159, 9.374184258919586, 9.105706809511688, 8.800305095767, 8.478333795337635, 8.161215754672735, 7.87006095178705, 7.624305628289693, 7.4404593198794675, 7.331040558772732, 7.303769858673206, 7.361072007014252, 7.499919749516406, 7.712028944032975, 7.984392602968629, 8.300119396892057, 8.639522564680554, 8.981389032922115, 9.304346929996068, 9.588243337180407, 9.815443459195349, 9.971967462340432, 10.048391693241342, 10.040456180574342, 9.949339256789301, 9.78158159616939, 9.548664566161426, 9.266270073823259, 8.953269621850573, 8.630507745320953, 8.319458255667499, 8.040839917958273, 7.8132808027127725, 7.652117415653541, 7.568406020246852, 7.56820988874472, 7.652208429536629, 7.815653388661678, 8.048674948977906, 8.336917994114053, 8.662467520048788, 9.005003537080295, 9.343111010705378, 9.65566039524873, 9.923169763276025, 10.129060720263602, 10.260727141198137, 10.310347832331356, 10.275390729339989, 10.158776128440207, 9.968688427660659, 9.71804851449101, 9.423680812766568, 9.105228685634895, 8.783888113831567, 8.481041283489263, 8.21687817009935, 8.009094979080231, 7.871753348797203, 7.814373858226634, 7.84132227686173, 7.951528122644266, 8.138553671261706, 8.391008968082359, 8.693286088723791, 9.026565313686051, 9.37002835337188, 9.702200412181387, 10.00233457467769, 10.251749268501595, 10.435032583649638, 10.541035810917661, 10.563592150431248, 10.501914258267115, 10.36064500307289, 10.149558160627942, 9.882928341258557, 9.578610768131018, 9.25689022909279, 8.939173405102537, 8.646608875117726, 8.398723759688899, 8.212164892887413, 8.09962567370744, 8.069027778139326, 8.123010483358897, 8.258760525069254, 8.468193456347853, 8.738474816587454, 9.052847513047938, 9.391712077348881, 9.733890157489732, 10.057989793593423, 10.343784464015338, 10.573517000745627, 10.733044316381063, 10.81274914712414, 10.808160035724965, 10.720239586777055, 10.555322411808556, 10.324706764577494, 10.043926192057633, 9.731748154591568, 9.408964169789803, 9.097049474309214, 8.816778609254001, 8.586886176355403, 8.422859100121762, 8.335938253537877, 8.332393808138669, 8.413121023468808, 8.573582533614802, 8.804100851344204, 9.09048223338887, 9.41493168900629, 9.7572001452174, 10.095889815995196, 10.409833623959775, 10.679459749296493, 10.888053339394212, 11.022834042301273, 11.075779900129017, 11.044144489597883, 10.930633971936441, 10.743232638500775, 10.494688198424935, 10.201689989557222, 9.883793089829243, 9.562157686893823, 9.258184973357446, 8.99213750547769, 8.781832964766954, 8.641495529979482, 8.580838906507836, 8.60444012627289, 8.711444486490674, 8.895620648623357, 9.145762345525911, 9.446410800485554, 9.778851286956892, 10.122319585145522, 10.455340560458826, 10.757112571525035, 11.008848461049917, 11.194986681693402, 11.304194480978136, 11.33009847428498, 11.271695509089469, 11.133417333818342, 10.924844902408054, 10.66009073210056, 10.356889131169133, 10.035452945613681, 9.717170525367493, 9.423226910905163, 9.173238126322982, 8.983986620043597, 8.868339373753784, 8.834418424360582, 8.885077271788688, 9.017716926318187, 9.224453454086765, 9.49262621983048, 9.805614062675817, 10.143906789698914, 10.486362912748163, 10.811572547736006, 11.0992376162436, 11.331480373875456, 11.493995910263823, 11.576974324086304, 11.575733124506812, 11.491019090883862, 11.328960131170826, 11.100670242486752, 10.821533040322299, 10.510210044119319, 10.18743765071713, 9.874690349525695, 9.592796356098715, 9.36059490815563, 9.193721782307714, 9.103601323913072, 9.096709969488508, 9.174158739167954, 9.33162161409289, 9.559614415930792, 9.844106210379374, 10.16742382014543, 10.50939113740277, 10.848629789235579, 11.163937307856134, 11.4356539609871, 11.646930128832045, 11.784812525382517, 11.841079240123968, 11.812769768653277, 11.702375863451715, 11.517680901498595, 11.27125812399317, 10.979660094475364 ]
[ 0, 0.23039674350718967, 0.4570114374964873, 0.676125362936421, 0.8841454012982388, 1.077664201389556, 1.2535172355106539, 1.4088357895270742, 1.5410949995388061, 1.6481561307711834, 1.72830239072671, 1.780267676905957, 1.803257777716424, 1.7969636715597783, 1.7615667014040115, 1.6977355381922181, 1.606614983935762, 1.4898068019842459, 1.3493428954697397, 1.1876512830527102, 1.0075154417063816, 0.812027697345329, 0.6045374437730616, 0.38859505702322583, 0.16789244424980554, -0.053798777323816854, -0.27269043620232175, -0.48504123961749596, -0.6872194215421531, -0.8757635566768287, -1.0474405220779663, -1.1992996358590875, -1.3287220664114439, -1.4334646847858679, -1.5116976259269073, -1.5620349297957161, -1.5835577492955413, -1.5758297363826999, -1.5389043487223257, -1.4733239545388175, -1.3801107506502768, -1.260749645764616, -1.117163395656843, -0.9516804065894243, -0.7669957461080179, -0.5661260140875051, -0.3523588297134608, -0.12919778024042072, 0.09969624663896687, 0.33056636442346277, 0.5596225969344883, 0.7831053415346096, 0.9973483237405661, 1.1988399890546602, 1.3842823040072623, 1.5506459817858997, 1.695221207696785, 1.815663015060045, 1.910030551718472, 1.9768195796413972, 2.014987663417263, 2.0239716258531226, 2.003696978386749, 1.9545791683989338, 1.8775166225397084, 1.77387570255812, 1.6454678255504387, 1.4945191317486957, 1.3236332077628916, 1.1357474894769428, 0.9340840746325678, 0.7220957687453191, 0.5034082678148358, 0.2817594459808567, 0.060936764754309425, -0.15528614809304125, -0.36321268799272227, -0.5592851732887753, -0.7401444186803365, -0.9026859848392395, -1.0441121623017302, -1.161978819163217, -1.2542363281104398, -1.3192638874672853, -1.3558966615476686, -1.3634452858498063, -1.341707410477055, -1.2909710884905294, -1.2120099524554728, -1.106070259950192, -0.9748500249607621, -0.8204705846066274, -0.6454410773128294, -0.45261642724245604, -0.24514953854078336, -0.026438499899310575, 0.19993031649982196, 0.4302423088497586, 0.6607168467922393, 0.887570578140179, 1.1070807811772763, 1.3156477016993693, 1.5098548309625817, 1.6865261151829705, 1.8427791386136163, 1.9760733896475533, 2.0842528017297948, 2.1655818567301313, 2.2187746462250804, 2.243016404057295, 2.237977149609359, 2.2038172133350913, 2.1411845520232458, 2.0512038987495655, 1.9354579292014265, 1.7959607597453175, 1.6351242210124806, 1.4557174717520893, 1.2608206292187787, 1.053773192554448, 0.8381181228157442, 0.6175425160281898, 0.3958158626976847, 0.1767269276249377, -0.03597969302845394, -0.2386662750693207, -0.427862880029222, -0.600325459345766, -0.7530901760135026, -0.8835230340872379, -0.9893639849909979, -1.068764772071602, -1.120319879689177, -1.1430900686015453, -1.1366181035420353, -1.100936409632145, -1.0365665294223056, -0.944510389652609, -0.8262335239717288, -0.6836405325499094, -0.5190431895152551, -0.33512173225486874, -0.13487998079211894, 0.07840496123301866, 0.301237581722715, 0.5299624925334987, 0.7608256390156916, 0.990037161725305, 1.2138348576877624, 1.4285471785536488, 1.6306547107410516, 1.8168491080786047, 1.9840884901209295, 2.12964837849077, 2.2511673183178678, 2.3466864208427607, 2.414682165043873, 2.454091909024113, 2.464331683968334, 2.4453059727115303, 2.3974093091754574, 2.321519671891101, 2.2189837822325686, 2.0915945535437284, 1.941561068772389, 1.7714715893370794, 1.5842502146435453, 1.3831079179882444, 1.1714887787533927, 0.9530123112364636, 0.7314128558189331, 0.5104770473702172, 0.2939804079794207, 0.0856241257708481, -0.11102692155692795, -0.29260386067154487, -0.455990234450675, -0.5983741871119612, -0.7172955487880558, -0.8106870311148394, -0.8769088440117913, -0.9147761539960668, -0.9235789242402221, -0.9030938041515166, -0.8535878693815601, -0.7758141496397758, -0.6709990191975351, -0.5408216612291641, -0.38738594985985175, -0.21318522075601165, -0.021060520175206543, 0.18584696840394033, 0.4041485234549248, 0.6302646296056067, 0.860484916686743, 1.091030289946421, 1.3181162110589066, 1.5380160702861723, 1.747123588624235, 1.9420132050091494, 2.119497437398005, 2.276680257212338, 2.4110055833882114, 2.5203000839990573, 2.6028095687374244, 2.65722836286288, 2.682721170748743, 2.6789370629222047, 2.6460153523845924, 2.5845832618126843, 2.495745420703839, 2.381065368335415, 2.2425393722717715, 2.082563000828429, 1.9038910092380057, 1.7095912112248837, 1.5029931084098633, 1.2876321377462965, 1.0671904705654636, 0.8454353545521469, 0.6261560311152191, 0.413100284472799, 0.20991168493895906, 0.02006857727398703, -0.15317416426044939, -0.30683963882867116, -0.4382787672784392, -0.5452146510184406, -0.6257806987256755, -0.6785518824503673, -0.7025685997343052, -0.6973527421710668, -0.6629157013397944, -0.5997581780529893, -0.5088617981125136, -0.39167267496807656, -0.25007719452180766, -0.086370427562803, 0.09678230123406806, 0.29639004421721615, 0.5091863142299458, 0.7316837819959532, 0.9602326715100784, 1.1910818756023904, 1.420441768294461, 1.6445476621537383, 1.859722848051521, 2.0624401617227255, 2.2493810461941974, 2.4174911210802135, 2.5640313282363794, 2.686623797336941, 2.783291663355646, 2.852492169205798, 2.893142499235072, 2.904637910992875, 2.8868618616534296, 2.8401879595274697, 2.765473707984429, 2.664046146543276, 2.5376796295721737, 2.3885661146930395, 2.219278458412181, 2.0327273335923968, 1.8321124901840649, 1.62086917535542, 1.402610610217566, 1.181067486372773, 0.960025495417258, 0.743261937468096, 0.5344824702056026, 0.3372590575695805, 0.15497015715968265, -0.009255852097235007, -0.15259305470778584, -0.2725653186172987, -0.3670877580850602, -0.43450164513312206, -0.473602184975781, -0.48365869032968867, -0.46442681678539954, -0.41615265435885584, -0.33956860670969236, -0.23588112702892783, -0.10675051595885443, 0.045736880170769156, 0.21910360524908312, 0.4105225784307571, 0.6168644336550079, 0.8347499209359386, 1.0606064919635876, 1.2907281224889668, 1.5213373697659558, 1.7486486258972593, 1.9689315079059644, 2.178573323064768, 2.3741395634999978, 2.5524314170869733, 2.7105393316159265, 2.8458917352954556, 2.9562980977679376, 3.039985610579287, 3.0956288728880397, 3.122372085326016, 3.1198433803739496, 3.088161049289715, 3.027931561319105, 2.9402394083575416, 2.8266289451139857, 2.689078528863887, 2.5299673918214367, 2.3520358008538302, 2.1583391716638602, 1.9521969057996382, 1.7371368072166984, 1.5168360091379576, 1.2950594003926168, 1.0755965822856906, 0.862198411656828, 0.6585141927158308, 0.4680305693787775, 0.29401314135365775, 0.13945178161519278, 0.007010570928747573, -0.10101681222950054, -0.182745499359394, -0.2367309940933484, -0.26199336031371323, -0.25803363120047806, -0.22484216443955707, -0.16289880368349952, -0.07316484356099417, 0.04293306721875867, 0.18352681512407676, 0.34633810339508964, 0.5287166021634486, 0.7276843282731958, 0.9399855116615238, 1.1621411132864723, 1.3905070816974916, 1.6213353727417936, 1.8508367106302677, 2.0752440394280764, 2.2908756024730996, 2.4941965934567825, 2.681878346818677, 2.8508540763102976, 2.998370228385493, 3.1220325905034816, 3.2198463822604304, 3.290249658022761, 3.3321394617345983, 3.34489029593649, 3.328364595731515, 3.282915032311915, 3.2093786074737234, 3.1090626380067925, 2.983722864651913, 2.8355340521908854, 2.6670535729716214, 2.481178583662615, 2.281097512313158, 2.070236668068801, 1.852202867563947, 1.6307230387131035, 1.409581813236676, 1.192558152935557, 0.9833620709085584, 0.7855725073171663, 0.602577399968782, 0.4375169532380534, 0.2932310552886741, 0.17221172409564023, 0.0765613785599395, 0.007957633466693315, -0.032374792204280745, -0.043684583219536055, -0.02570640887894604, 0.021334634017006637, 0.0967267904171476, 0.19928356537060954, 0.32736359190587305, 0.47889811574989816, 0.6514256366551627, 0.8421331262651718, 1.0479031323241812, 1.2653659804706976, 1.4909561994946494, 1.7209722252160382, 1.9516383832430766, 2.1791681127069475, 2.3998273722909, 2.609997166818431, 2.8062341473919834, 2.9853282703312938, 3.1443565494120564, 3.2807320013220798, 3.3922469647429203, 3.477110067677907, 3.5339762240080566, 3.5619691569830563, 3.5606960724910293, 3.5302542364029206, 3.4712293458537635, 3.384685721733733, 3.27214848661592, 3.1355780265517215, 2.9773371643715842, 2.8001515941746558, 2.60706423953265, 2.401384299680583, 2.186631836916628, 1.9664788330965022, 1.7446877022318816, 1.5250482888009387, 1.3113144067351512, 1.1071409817383246, 0.9160228494906286, 0.7412362345630332, 0.5857838899786532, 0.45234481605988774, 0.34322940052051454, 0.2603407309822501, 0.20514272773873055, 0.17863563038415742, 0.1813392487835126, 0.2132842588471222, 0.2740116888619959, 0.36258060498130873, 0.4775838671784356, 0.617171691831653, 0.7790826263838275, 0.9606814174056679, 1.1590031379612675, 1.3708028353623054, 1.5926098679586307, 1.8207860210942275, 2.051586429076506, 2.2812222830187365, 2.505924274512309, 2.722005712763063, 2.9259242582941436, 3.1143412394835512, 3.284177558679758, 3.432665251746734, 3.5573938376724925, 3.6563506821165843, 3.727954699007876, 3.771082825858927, 3.7850888294673046, 3.7698141271020624, 3.7255904419743713, 3.653234248526477, 3.5540331005526014, 3.4297240710878296, 3.282464665089198, 3.1147966919768564, 2.9296037029901174, 2.7300627060707416, 2.5195909668083476, 2.3017887862674953, 2.0803792138822907, 1.8591457049273354, 1.641868766492047, 1.4322626528220974, 1.2339131700660892, 1.0502176318878251, 0.88432797138865, 0.7390979619315259, 0.6170354306554657, 0.5202602648653716, 0.4504689144815288, 0.40890598495546837, 0.39634339632956417, 0.4130674574222064, 0.45887407158154714, 0.5330721542875501, 0.6344952053745996, 0.761520842097456, 0.9120979659592519, 1.083781108392194, 1.2737713801723003, 1.4789633388691372, 1.6959969895346039, 1.9213140478780444, 2.1512175237999114, 2.3819336275568492, 2.609674961937867, 2.8307039422981175, 3.0413953824801565, 3.2382971986206357, 3.418188214355922, 3.5781320994776458, 3.715526538834208, 3.828146808144241, 3.9141830270443236, 3.972270465567763, 4.0015123965722115, 4.001495111451583, 3.972294847694023, 3.9144765122838114, 3.8290842223238712, 3.717623821276297, 3.5820376635868687, 3.4246720899252394, 3.248238137668761, 3.0557661445333797, 2.8505550055147117, 2.6361169328326834, 2.4161186438754654, 2.1943199619516163, 1.9745108579819284, 1.7604479873689574, 1.5557917847356042, 1.3640451698821323, 1.1884948913319302, 1.032156489669022, 0.8977238022573775, 0.7875238548863517, 0.7034778956824654, 0.6470692237754068, 0.619318351427647, 0.6207659155385552, 0.6514636246698475, 0.7109733931848174, 0.7983746770001166, 0.912279888112792, 1.050857629786069, 1.2118633633202847, 1.3926769928932334, 1.590346739111495, 1.8016385666085681, 2.023090338024919, 2.2510697875592833, 2.481835343324347, 2.7115987800344024, 2.936588652905135, 3.1531134505636147, 3.3576234094717563, 3.5467699547801224, 3.7174617722729897, 3.8669165724801777, 3.992707680163415, 4.092804669036542, 4.16560736128969, 4.20997262259517, 4.225233503912119, 4.211210409560046, 4.168214104551685, 4.097040510827372, 3.998957379527914, 3.8756830624793204, 3.7293577383608167, 3.562507575374862, 3.378002430515674, 3.1790077937628123, 2.968931781895306, 2.751368069515336, 2.5300357129034863, 2.308716874354811, 2.09119348980433, 1.8811839402422827, 1.6822807873584575, 1.4978906160328016, 1.3311769910110338, 1.1850074829567334, 1.0619056509295823, 0.9640087853441028, 0.8930321190035373, 0.8502401054962145, 0.8364252458976211, 0.8518948183258508, 0.8964657325640422, 0.969467595909318, 1.0697539389105104, 1.1957214130195097, 1.345336638691204, 1.516170254360137, 1.7054375961430392, 1.9100453270851725, 2.1266432351425646, 2.351680332542267, 2.5814643171357505, 2.8122234000640276, 3.0401694644291575, 3.261561497379055, 3.4727682334342096, 3.670328960092723, 3.851011467522604, 4.0118661719729936, 4.150275506606436, 4.263997752702125, 4.351204577275749, 4.410511648547814, 4.441001816603907, 4.442240471086319, 4.4142828187522065, 4.3576729590354875, 4.273434773092083, 4.163054778891851, 4.028457239448671, 3.8719719410020947, 3.6962951807053477, 3.5044446170815258, 3.2997087392780915, 3.0855918012573817, 2.8657551430020485, 2.643955881311576, 2.423983996815034, 2.2095988706777914, 2.004466333697186, 1.812097281900619, 1.635788886529139, 1.4785693828464777, 1.3431473622855201, 1.2318664170368587, 1.1466658965556518, 1.0890484331207135, 1.0600547802301563, 1.0602463851656205, 1.0896959875475465, 1.1479864013089487, 1.2342175004834826, 1.3470212918308464, 1.4845848219077704, 1.644680535005845, 1.824703573611255, 2.0217153967903267, 2.2324929861096323, 2.4535828151369765, 2.6813586788029298, 2.9120824142690664, 3.1419664965314262, 3.3672374605936786, 3.5841990882059673, 3.7892943011048597, 3.9791647243523744, 4.150706922383909, 4.301124366091969, 4.427974260755798, 4.529208450682404, 4.603207715610065, 4.648808884580365, 4.6653243132566375, 4.652553398540544, 4.610785937674563, 4.540797275581995, 4.4438353217024416, 4.32159965372605, 4.176213058134877, 4.010185984105501, 3.826374505992926, 3.6279324983147303, 3.4182588240661698, 3.2009404206989833, 2.979692236789854, 2.758295025160532, 2.540532034104565, 2.3301256568274864, 2.130675099906155, 1.945596114510883, 1.7780637995912143, 1.6309594347876621, 1.5068222333528007, 1.4078068229802179, 1.3356471665255856, 1.2916275267676838, 1.2765609614054017, 1.290775708392103, 1.3341096895852473, 1.4059132247477968, 1.5050599104553066, 1.6299654817413267, 1.7786143406423696, 1.9485933074217279, 2.1371320293070415, 2.3411493700966304, 2.5573050038401877, 2.7820553486559927, 3.011712904072655, 3.2425079982899536, 3.4706519114002714, 3.6924003175708173, 3.9041159838461614, 4.102329675678755, 4.2837982493232225, 4.44555895833596, 4.584979064816972, 4.699799924652902, 4.788174808552849, 4.8486998255631235, 4.880437431246259, 4.88293212687931, 4.8562180867880445, 4.8008185860972326, 4.717737238479429, 4.608441190626131, 4.4748365548503575, 4.319236491202129, 4.144322473562237, 3.9530993883144143, 3.7488452174694857, 3.535056148798342, 3.3153880321054303, 3.0935951619588966, 2.873467411961122, 2.6587667732482365, 2.4531643598811685, 2.2601789359757696, 2.08311799393507, 1.9250223704300797, 1.7886153275357706, 1.6762569516591166, 1.5899046338503906, 1.531080293255087, 1.5008448925508353, 1.4997806721085012, 1.5279814003667958, 1.585050803678134, 1.6701092019178998, 1.7818082387437404, 1.9183534598465461, 2.0775343611197075, 2.2567614035898043, 2.453109375292471, 2.663366373999133, 2.884087590576665, 3.1116529923775893, 3.3423279407512507, 3.572325727634296, 3.7978709840446707, 4.015262898702105, 4.220937188179038, 4.411525780889872, 4.583913215509588, 4.735288809428943, 4.86319372368491, 4.965562136262659, 5.040755834321983, 5.087591646100468, 5.105361253145657, 5.09384305112013, 5.053305860570095, 4.98450442552053, 4.888666775273096, 4.767473661033617, 4.623030411703314, 4.457831680108862, 4.274719669996409, 4.076836543279491, 3.8675718044817358, 3.6505055434234412, 3.429348486553842, 3.2078798607708663, 2.9898841101992852, 2.77908752560681, 2.579095847598786, 2.3933338884277626, 2.2249881834512957, 2.0769536325408096, 1.9517850249318298, 1.8516542592326601, 1.7783139749437238, 1.7330682044778867, 1.7167505371145526, 1.729710160532325, 1.771806013655151, 1.8424091487225447, 1.940413263030986, 2.0642532239924067, 2.211931277307195, 2.3810504993954025, 2.56885493392478, 2.772275740348583, 2.987982581695005, 3.212439391118971, 3.4419635834044433, 3.672787719919228, 3.9011225944419947, 4.123220683487582, 4.335438898654628, 4.5342995902055225, 4.716548780373039, 4.879210651276004, 5.0196373750426195, 5.135553451735168, 5.225093812636962, 5.286835050861218, 5.319819256324628, 5.323570055968758, 5.2981005906353715, 5.243913295022802, 5.1619914844079915, 5.053782889014732, 4.9211754117452715, 4.766465515212701, 4.592319767433574, 4.4017301900992365, 4.197964157119227, 3.9845096823871633, 3.7650170129260303, 3.543237505437008, 3.322960809764565, 3.107951411142656, 2.9018855938225205, 2.7082898816274157, 2.5304819862485908, 2.3715152521039884, 2.234127528031765, 2.120695321962646, 2.033194006252545, 1.9731647400372518, 1.941688662495342, 1.9393687891533695, 1.9663199143801873, 2.022166689153181, 2.1060499062843405, 2.216640887859887, 2.352163733975586, 2.5104250602121363, 2.688850725896428, 2.8845289381327204, 3.094259009826557, 3.3146049552469603, 3.5419530256687217, 3.772572221658994, 4.002676768729027, 4.228489510195538, 4.446305155736283, 4.6525523265425255, 4.843853358120577, 5.017080859343908, 5.169410080673168, 5.298366214637289, 5.401865836528766, 5.478251791387341, 5.52632094308929, 5.5453443208832, 5.535079326018185, 5.495773794064258, 5.428161844901303, 5.333451589868676, 5.213304901919292, 5.069809587527495, 4.905444426332608, 4.72303766392962, 4.525719652846595, 4.316870434735819, 4.100063141516344, 3.879004163216367, 3.6574710844063003, 3.439249428478075, 3.228069268988639, 3.027542769511804, 2.8411036978950586, 2.6719499277559677, 2.5229898900314778, 2.3967938712501913, 2.2955509740388127, 2.2210324605597176, 2.1745620926945013, 2.1569939656277826, 2.1686982060081386, 2.2095547741707966, 2.278955474203955, 2.3758141382001448, 2.498584814157117, 2.6452876529716463, 2.8135420610479915, 3.0006065633799217, 3.203424709598413, 3.4186762542875284, 3.642832754552835, 3.8722166538605727, 4.10306286278683, 4.33158180550738, 4.554022876311888, 4.76673724356327, 4.966238949448445, 5.149263282403786, 5.312821444768407, 5.454250600253955, 5.571258463185785, 5.661961682867246, 5.724917380320604, 5.759147309321155, 5.764154237147697, 5.739930270753238, 5.686956988934243, 5.6061973782851044, 5.499079707970506, 5.367473613332848, 5.213658788815281, 5.040286814437557, 4.850336755041621, 4.647065275797757, 4.433952109288522, 4.2146417873246715, 3.992882613195153, 3.7724638962621153, 3.5571524999080215, 3.3506297653414574, 3.1564298674731006, 2.9778806350941016, 2.818047826323608, 2.679683792434753, 2.5651813896835405, 2.4765339108883637, 2.4153017077062393, 2.382586062516624, 2.3790107474283886, 2.4047115792047387, 2.4593341450091235, 2.5420397370544854, 2.6515193967800297, 2.7860158333856333, 2.9433528496975674, 3.120971782628803, 3.315974348037871, 3.525171172548444, 3.745135199663177, 3.9722590758856136, 4.202815555918733, 4.433019915453724, 4.659093326445732, 4.877326133656648, 5.084139972898155, 5.276147690803567, 5.450210062771291, 5.603488359336405, 5.733491880746216, 5.8381196637718125, 5.915695662374662, 5.964996813127394, 5.985273515432602, 5.9762621835981555, 5.938189660584338, 5.87176941951442, 5.778189616554546, 5.6590931952175305, 5.516550375244717, 5.3530239867393385, 5.171328230032833, 4.9745815518502585, 4.7661544268643246, 4.549612919037188, 4.328658967815847, 4.1070683990905374, 3.8886276989228175, 3.677070608769271, 3.4760156039143872, 3.2889053020376906, 3.118948816519275, 2.9690680197793995, 2.8418486164728156, 2.739496845818275, 2.6638025380836585, 2.616109143846261, 2.597291237889083, 2.6077398744304228, 2.647356038914123, 2.7155523060100446, 2.811262676061644, 2.9329604252692008, 3.0786836707070346, 3.246068222087843, 3.432387170171233, 3.6345965489073695, 3.8493863067026344, 4.073235733292296, 4.3024724140967265, 4.533333724868619, 4.762029836902923, 4.984807177786022, 5.198011285032434, 5.398148000124152, 5.581941978257051, 5.74639153404807, 5.8888189048101145, 6.006915089735983, 6.098778514157857, 6.162946871449001, 6.198421609374195, 6.2046846508646345, 6.181707069227706, 6.129949572524941, 6.050354789007339, 5.944331482788586, 5.813730964064824, 5.66081608889261, 5.4882233676239345, 5.298918816493622, 5.096148291624511, 4.883383137109241, 4.664262057291591, 4.442530186597381, 4.2219763771922745, 4.006369754584509, 3.7993966035516324, 3.604598641235987, 3.4253137110285525, 3.2646198903216748, 3.125283948048723, 3.0097150150888203, 2.9199242433276758, 2.8574911288833746, 2.823537063415785, 2.8187065564033595, 2.8431564428203933, 2.896553256932609, 2.978078816186838, 3.0864439216923385, 3.2199099458792704, 3.376317945848128, 3.553124814907017, 3.7474458669385613, 3.9561031405199567, 4.175678613943826, 4.402571440052127, 4.633058242486206, 4.863355463689743, 5.089682720647686, 5.308326107466668, 5.515700384795603 ]
73
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Linear Trend", "Speed Up/Down Anomaly", "Cutoff Anomaly", "Flip Anomaly" ]
You should first identify the time series with the anomaly. Remember, both time series share similar pattern. Then, you should check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
479
null
Two time series are given. Both of them have a noise component. Do they have the same type of noise?
[ "No, they have different noise: white noise and red noise", "Yes, they both have Gaussian white noise" ]
No, they have different noise: white noise and red noise
binary
[ 0.6382061597869935, 0.021450162799758254, 1.351033905087093, -0.30114573089740604, 1.4166073069698728, 4.141648261044763, 2.6255804372632774, 2.7423928236217723, 1.0092826349075585, 0.6919420510878713, 1.5751708862709028, 3.337353718828526, 3.354728196619047, 3.328320840299333, 3.880047587140343, 2.771026409155727, 0.8859745812259942, 0.7289867066398739, 0.7086142430403065, -1.5671065125310535, -1.0903310283493917, -0.0062028348896006336, -1.056084004494135, -0.5121453330064109, -1.1926378166358813, -0.46892212409561185, -0.3909434284387574, -1.943902093327788, -3.083809464137878, -1.5281402012349448, -0.6356013656601986, -2.936716567623906, -2.666855291122406, -3.018100012965343, -2.848244823940772, -3.5693646861858372, -1.4882182514398867, -0.07147483670551735, 0.32419870718425714, -1.2813195675420337, 0.20275945423444947, -1.3419179172248885, 0.60879182074094, -2.26626803023509, 1.2677273658893449, 0.9554950286505908, 0.6839036687552044, 3.4126978182310994, 1.3888170344494073, 1.9121354215940958, 0.8091863313492293, 1.6986495281121254, 1.734992564374782, 2.9955244290504766, 3.889707306669705, 2.927450733226745, 3.268751622715773, 2.921004510810234, 0.929156755178916, 2.3513871095554477, 0.5800519868145085, -0.9567666650525013, -0.35321398883447575, -0.9301151005104821, 0.207890308673784, -1.4478992117310798, -0.8382535289653514, -1.2258189938261554, -1.7984450637777625, -1.875589803271874, -2.1291548026230287, -3.372844706364792, -2.6889600913800087, -1.4183966249880346, -3.290824273684991, -1.7575850080462103, -1.5183379562501385, -2.7286571811162164, -0.32782220306486365, -0.41907194184339747, -1.6492988584506623, -1.2645487048990287, 0.1469529731658569, -1.81154670306403, 0.04987130393632283, 0.5816519086574203, 1.0605055683484554, 2.384078682456271, 1.4226125327151635, 2.3717300244585626, 1.977487951875141, 1.9706921083988287, 2.0760402058934586, 1.3073406413006536, 1.5107471890261688, 2.192074997180236, 1.9474736180969585, 2.186115124523874, 0.26140611176285145, 2.0995254176041334, 0.45299310624697753, 3.1284802895895, -0.054986108183376514, 0.4681486760932382, -0.6783203803261579, -2.163345740067143, -2.4283871386322606, -2.0727271131102514, -2.476828055984407, -2.4358802887701607, -1.8607379527065595, -2.470571230974116, -2.527513651772137, -1.2530540868525284, -0.5916585456725127, -0.8048683663034408, -2.3322239330222727, -2.2774441406435972, -1.9476038878838366, -1.635200917475657, -1.6394236007702745, 1.1841650996255333, 0.4340025708845442, -0.5227189180756409, 0.1358036646907052, 1.149712034545388, -0.13287599405795847, 2.1768060355886174, 1.3325689603829673, 1.328407373585895, -0.5886069812498329, 1.6067455580064964, 2.8406265941555766, 1.7762497029146949, 3.7058497803488333, 2.2429636937125843, 0.8508365927113792, 0.9337960376047529, 0.9219381349373048, 2.8255725399420806, 1.7286239791031135, 3.4291738833010674, 0.3036683388658729, 0.5121435782682179, -1.262405348239587, 0.6493113084461608, 0.9182893265066996, -2.7453385364389096, -2.1852828636306083, -2.131687299911763, -1.272929864852627, -2.5837136945195818, -4.270018597595937, -1.51758806107462, -2.639888612671376, -2.244250447687995, -1.1579713275135302, -0.455095193688954, -1.5180207489324626, -1.7743726556027637, -1.1727396552966969, -2.426081189609739, -1.8594048246166082, -0.4448103005007562, -0.8829090627960758, 0.05066498921102833, 0.11419233763469144, 0.7044186597190741, 0.93223262804014, 0.17422277711712164, 1.6462064734850248, 3.5019505402214444, -0.2915403629596316, 2.711156196368683, 3.3980960708670214, 2.62069823550932, 1.7303113211140366, 2.445121242019877, 2.002464293805307, 0.6596437874908314, 0.8226537077832452, 1.7490167502496725, 2.5474800947450236, -1.0146035137377143, 1.08717440371304, -0.8406927638412629, -1.4700886316508224, -1.4384366693833268, -0.6679956686165165, -1.6831421167806249, -1.822027762755817, -1.968053905616525, -0.8195281726017105, -2.9771648629345573, -0.7999212989932731, -0.3832086049503385, -2.319594515515816, -2.083261057124679, -0.648450279744508, -1.5942997502555358, -1.0373381858634996, -0.32491300433283854, -1.3374953969299719, -0.45832234328834887, -1.4713405031785634, 0.028205306218578974, -0.816323575147235, 0.04512841849080601, 1.6782805430790275, 1.1820625287724287, 2.677621245804291, 0.5592199149857014, 2.146634998152402, 0.3651938768668679, 0.7246942923288024, 2.9628925904612147, 1.7873466428577016, 2.4893193867806804, 3.325834318848792, 2.5480760731960452, 3.0119596026280844, 2.421470470606133, 2.8148869851145513, 0.8157454671216728, 1.895380842235487, -0.3689268866208022, 0.38641168747929666, -0.7355208612504841, -0.573266304698567, -0.024575604959089836, -1.0363987583497007, -1.5935369148233551, -1.959648114848161, -1.0117281869694552, -3.505114443636215, -3.260155318315318, -2.53346262306599, -2.8792574179774664, -3.996471234470903, -3.775302105520723, -1.7084431675505858, -3.202427520025849, -3.7989212177285783, -0.5477336864547359, -2.1901448885822243, 0.26752471317955684, -0.25666825836572743, 0.20150416745547858, 1.3169320388595407, 0.47316623441460326, 1.3946973568233683, 0.3152824967089467, 1.9116495146230905, 0.017062395331218783, 2.5719046897942572, 0.40798308462126, 4.069850312823859, 0.634693087858325, 1.5158499207638556, 3.0579470408633322, 3.3186552016308415, 2.8484440267753226, 2.483136999034418, 1.9297665902503627, 0.8846990631253908, 1.27513871711701, 0.24043192971365496, 0.2963305377411162, -0.2609779919873975, -1.2595892702177813, -0.8683208883878214, -1.3864277630472435, -0.24433102095421644, -1.118698520673111, -2.455998247916283, -4.7745686455807625, -2.161347138850666, -1.8774058426695113, -3.132240266816728, -2.7520133861437612, -2.7556356369885577, -0.4167216270555594, -0.8568554937232552, -3.354164445661813, -0.7643855785351102, -0.18611821958368358, -0.6322611371528738, 0.9228175013110118, -0.34238546063543895, 0.27403919983856534, 1.9143759277127903, 0.5850263884556279, 2.6990414536261933, 2.4150881926167775, 2.1327063740030137, 2.172105310700541, 2.715446993253785, 0.5185409355440209, 1.8592348447470068, 3.5373501824293454, 1.1667483596422328, 0.3735957594698063, 0.577497291829141, 3.173287869046093, 1.5548728777894536, -0.2722727965604348, 1.6874046258010884, 1.2591107783851658, -0.036967893391962714, 0.31848558346270495, 0.17504211201721281, -1.2095749085136582, 0.3419353521610462, -1.6944719243689195, -3.0841780075595535, -2.471610858136201, -2.7320800959834854, -1.8121500448236012, -3.6856159712180165, -5.397163618771661, -2.936096536326552, -1.5021260747751364, -0.9468754853970267, -1.3388739970923698, -1.1217423581191972, -0.1301018869490871, -1.3457772877207874, -1.196440403585664, -2.714497740390919, 0.38285088774120773, -0.47272062739959886, 0.8675094374270853, 0.669376032092021, 1.5927156829349387, -0.6718591348930929, 1.885414348203075, 1.4155824253014728, 2.425360675951668, 3.3863125464485013, 0.6549442563515617, 2.3536840139596404, 1.6892690206549101, 2.347982853945443, 2.0744239617411835, 1.1801917491814253, 1.8081932153059403, 0.3783650550028489, 2.23793642036988, -0.6260683661496911, 0.4733633877923422, 0.39824313838703007, 2.365931021681515, -2.0169908508994516, -0.32357400961913874, -0.9884184340787522, -1.8828929399516272, -0.7642529086718057, -2.2461264289516145, -2.576033556148528, -3.2165629799324105, -2.8747725059301796, -2.604829130552978, 0.0048329853233934905, -1.3098951333237925, -1.5679519983471686, -0.8533448286618838, -0.6525711971373129, -1.9167460875454803, -0.7561067962245493, -1.0958859889255743, 0.10336535066522953, 2.6475225303453493, -0.45061360820927604, -1.3464040742003243, 2.2849432173276143, 2.617612977311135, 2.231762374425079, 2.5632506725042017, 2.575319242726293, 2.3163243966691716, 2.0385920101417336, 2.1059996350039927, 2.1001474451026927, 1.844051192499774, 4.300967738651325, 2.1421876273084375, 0.7928724827254364, 1.1879511607768256, 3.6515909434408873, -0.7339886120286271, -0.4542250714260222, -0.3882731389450319, -2.0398196220664055, -0.4375976862350067, -0.10630003664025556, -2.132150877017713, 0.14101732499195663, -1.316768946504081, -2.7059132364099754, -2.1611330095176435, 0.3960975328861922, -2.4254543667047153, -1.8017535842544365, -0.7596258687719508, -2.0176182829590603, -0.48591896042252114, -2.011278041290086, -1.4441645494194957, -1.407258543799159, -0.7631081567249659, -1.0050412222934497, 1.3513709543708703, -0.2768600950078839, 1.0352168563424418, 1.3059534845610168, 1.1817347961402913, -0.8355739683453389, 2.20462605505456, 0.7414498670501142, 2.7828325417259228, 3.081303029562373, 2.25265320292212, 0.2181852606283048, 0.6220014005923498, 3.3803263037118683, 0.7408783906181844, 2.670561757252474, 1.0350446004493108, 1.8232075443496247, 1.2436460697043388, 0.5884612471590124, 1.0209983139350465, 1.2670502376718176, -0.9009322058261675, -0.3599100022936182, -1.5594878419444704, -0.34671877412467955, -0.4271892181427358, -2.2502886288999417, -1.401400176956471, -0.9333134759037116, -2.932538233867349, -3.022088085951556, -2.0603339949129533, -3.52678242801865, -1.6818006359381699, -1.6381242617783183, -0.5212225473416205, -0.0016814314717874534, -1.8817176161302234, -0.8702419112001649, -0.775203665700299, -0.008997626305159656, -1.2924122635894526, 1.0184942885128687, 1.4876431148242324, 0.6887192717618141, -0.7684396276075587, 0.9103556161986684, 1.3111386536644303, 1.8467810638856643, 1.9092627458335125, 0.7267081886218456, 2.4039695063656246, 3.0439585242635347, 1.6040919818526245, 1.8848697807904102, 1.8453905714137033, 3.0717315352886443, 0.8791564523439019, 1.4678072199416325, 1.4583618418346005, 0.16897586753989352, -0.798607332832277, -0.24722256475056564, -2.686354949846533, -0.5191859490045032, -1.996921946568456, -2.0891646261669328, 0.4743109333552904, -1.6162029173205745, -2.3577331026064017, -2.3403118032989267, -1.6142135454145714, -2.2962742220225354, -3.3390212965434856, -2.287259709138082, -1.9226084949081144, -1.2515910253358105, -0.56596284267671, -2.1388129439487398, -0.3813089692482182, -0.9200535575765727, -0.46910723920949626, -1.3311733825648293, -1.2695271391698832, 0.2483252447903923, 1.5124585602541347, 0.9689074988962062, 1.666877631616854, -0.8516342832453432, 2.2136613375258025, 3.1755458947829944, 1.4762191824583897, 2.771346152525695, 2.3499644330099465, 1.303007906091607, 1.7536593310167101, 2.688090238767522, 0.6386838388602916, 2.7119260373044334, 2.687930949106148, 0.3692937544507058, 0.927281595880683, 0.8762594868906444, -1.7472583659355547, -0.06852939037305256, -3.5690037666965133, -0.539917852347532, -2.6291126239047933, -0.5023325433704138, -2.3981919942400856, -2.5772950496180727, -1.9938867296069125, -2.905457453190724, -3.034730648123693, -1.0478982912585815, -1.6677686428902727, -0.9426784457822623, -1.591650332874199, -2.3468515256550715, -1.1791266648061396, -1.167652689050282, -1.2635244663364857, 0.5121800385160002, 0.2646494135668397, 0.46931941978680386, 0.11318965390918612, 1.7847361143436375, 0.767784823679909, 1.9205317147848984, 2.7251307661599427, 1.968150247796903, 2.8867203108056154, 2.8829756690172115, 0.99015868004662, 2.824427235647776, 1.4889119736761975, 2.445520332701666, 2.754053118662169, 2.405972577037297, 1.5319440547962575, 1.0846773686693651, 2.440219699355411, 2.426929733916765, 0.744719431831182, -2.065458753453344, -1.6132762670130145, -1.0129291844308383, -0.06379095580524619, -1.2168889125071427, 0.12136325995175046, -1.2477322582555357, -1.2517907836288196, -3.851441177371653, -2.153020059816256, -1.6957586922326944, -2.3826209205161004, -2.77925496969635, -1.6823101716934097, -2.3576463279982636, -1.9794944602678455, -1.796295746003657, -0.2150538799533962, 0.410829878939326, 0.5378753209426907, -2.881401197294042, -0.07296325546583418, 1.146927170664439, 0.6101251786340394, 1.5469948959688289, 1.2905284360322553, 0.952015648684873, 2.5703779390958235, 1.0875883120322425, 1.7223129000788122, 2.399654826622464, 1.0430954001640313, 2.3029166799394196, 2.0677404656294183, 1.532035421547149, 1.6748907408198612, 1.2876940083132897, 0.45868828084092816, 0.5888234036618701, 0.7603877224461991, 1.6645235636345053, -0.74556460435555, -0.9254263629682782, -0.9089755195546773, 0.5429103295773411, -2.011409113868523, -2.931885086222275, -1.3170460023839217, -1.770421997703282, -2.0895262396454117, -2.172518450813101, -3.4961097787129747, -1.9640494441678764, -0.9787363124981012, -1.1308864519281894, -1.1660427564900098, 0.2517324648420498, -2.008044658765612, -1.5129719234125885, -1.8575653116595223, 1.1683490302238257, -0.19209543601850615, 0.6495938485493697, 0.36289484779915904, -0.10242951160901903, 0.48641718344568186, 0.8253351378571794, 0.39922913150958994, -0.12814603989807494, 2.3098104898853036, 2.5236281979392463, 2.9387730173972133, 3.112889875145738, 1.426449785090092, 3.905735599245685, 2.741820140090286, 2.0762801220584683, 2.108493160239354, -0.022559011850787902, 0.8157757545667507, 1.7089719474927432, -0.4659321588209198, -0.19422478395472442, -1.0979350360597466, 1.0168029587664482, 0.9920740703436565, -1.841222223612934, 0.534071468305384, -2.18009725927076, -1.908699749658861, -2.276947116664799, -1.450737194469926, -4.209378333995672, -0.6067075472918724, -2.358163406001166, -3.097717059711126, -2.7329083053863723, -2.6335054237351043, -2.299313440341844, -0.056058149072432784, -2.1089412913001255, -1.4079935183484413, 0.12243050131929684, 1.5422240816714312, -0.13319940617632625, 1.0928853267835026, 2.2784870598991676, 2.188447339096549, 1.992414316145347, 3.6802726267783923, 2.2708468908750348, 2.9842654208888195, 1.1537413492698514, 0.15298256142116395, 2.3040821756613252, 3.6871453164246772, 2.354397854348514, 2.0115465802429773, 0.9371652909267986, 0.9483000781353746, 1.6162022306668562, 1.6741186245316235, 3.2478722487847285, -0.4670241644223965, -0.3251816773398075, -0.6361583175782093, 0.6158929607479418, -1.4983179696664655, -3.640130816409975, -0.8285509341564953, -3.737187363163182, -1.0941437923396733, -5.390541814719834, -1.3578377677565023, -2.163199927152648, -1.3510581475187542, -3.3947127549014935, -0.9818839912855657, -1.6371597806062337, -1.630126007486264, -2.880320197798463, -0.1871285559754755, -0.5540374953871858, -1.07408889548444, 0.5443124046293715, -0.9255261763357161, 2.1507850769570904, 0.2925504480833032, 1.6000129662421128, 1.2341742114829446, 0.6914203482611885, 1.7936048036531658, 2.5160719587135474, 2.1072003869837426, 2.0450187864734204, 3.626272640013846, 1.640685296776024, 3.6936157343357, 2.1115035603113412, 1.8418466564490548, 1.594781072334204, 1.0712944881312734, 0.4076185755774252, 1.7350203423944388, -1.2263018124839726, -1.9020101730430348, 0.6040141076239299, -2.5764268932785956, 1.6247560937930754, -0.8319063872537842, 0.015618024067096004, -0.9799544960129467, -2.901785760871065, -2.723405347621717, -4.739985335061053, -1.144049759592758, -1.655013457558474, -0.428954776130692, -2.973374751829371, -1.2329413559457714, -0.08223861637101093, -2.095071955240599, -0.11042617548518718, -0.5795982081799076, -0.9104930685910677, -0.07886544308361687, 1.1824471909022378, 0.5395942222730443, 0.02613230371729436, 0.03844319445120581, 1.3858112279192174, 1.7676292417638528, 2.0682389880653793, 0.5791619500846423, 1.5080572818652933, 1.5748573786761724, 3.5659123918458047, 0.18461689541186654, 1.641956713955317, 2.188929564523749, 0.707810383287955, 1.7429634365578863, 0.2693783250778077, 1.569732817655525, 1.2496512694083597, -0.13993373106561152, 0.8731997529916626, -0.8603428351034978, -1.4661902160284566, 0.11104769669781533, -0.06578131694176936, -1.2801476416077548, -1.4120765325565203, -0.9018557562715206, -1.9032357162458946, -2.254432787422649, -2.007481824673531, -2.8238693997621054, -2.1974401413012, -2.7793502669873957, -1.7535836751548113, -2.7293560265399606, -0.455188844051549, -1.5370709098566595, -0.7498477889931767, -1.0072963513323234, 0.5892583234926171, 0.3040780901878265, 0.8898068603054257, 0.25971998555048903, 1.2483234329471662, 2.8759594598890317, 0.9774608556183584, 0.6839529291901261, 1.2494110545627923, 5.28847864745166, 1.164103264951239, 3.0922231518945704, 2.7569391494112843, 1.8295393538439522, 1.197219724040396, 3.096304139550994, 0.6321194997846398, 0.9308300601218733, 1.5614532190125225, -1.0218588873871615, 0.7006464418300206, 0.14317212819843547, -1.8437870467481692, 0.19519433203717906, -1.4600479224814822, 0.06713926583245122, -1.2454407115782158, -2.680784720031394, -2.4018877194524797, -2.0357877274962948, -2.5459715446203823, -2.5433035343560055, -2.1450759802143904, -2.1783464341060506, -2.864325516017, -0.8287838330380821, -1.66640078946163, -0.8377394978558532, -0.7323055480875564, -0.4596860094027437, -0.859109374878133, 0.05153539264895271, -0.8552570814956932, 0.5663957676578231, -0.14337794786606473, 0.6479342509476844, 1.7293465651846585, 2.738298221736554, 2.2279416993234795, 1.6563613968432183, 1.4889498371335803, 2.4194944801828724, 1.4406775739185216, 1.8123016626030117, 2.4032724828167167, 1.390191115373032, 0.9786413491697189, 0.23507759512501325, 2.6398332782972815, 1.8790993449399138, -0.1800806151655896, 0.30025886284643594, 1.164040552477009, 0.15748874918465894, -0.04086224519762627, -0.08368676613920312, -1.720782905274592, -1.0940672751063945, -1.4895144311298452, -2.9176696772118165, -1.6181182079954515, -2.6740700294480644, -2.3463635448792415, -2.0169948528255546, -1.1588804276349647, -2.063154488884363, -1.5525813902727215, -1.4151353129471707, -2.701215611105453, -2.262447702578263, -0.79529258774971, 1.1435795187669298, 0.07631031150964285, 0.6146910200469818, 1.4154540439899843, 0.21614128560463075, 3.404664486560357, 2.5874290310458417, 1.9652575592311254, 1.4046868179640635, 0.872733270558671, 2.5894150882566835, 3.7998203507885444, 3.57693750111017, 4.147898032811182, -0.350773995446632, 2.6496398746619287, 2.1642452780483463, 2.099822631850225, 2.1666900424611195, 1.4927145099740131, 1.8269964297626389, 1.0033638672804932, 0.4948982538547744, 0.005422822497438057, -0.2931748951757472, -2.178645827055777, -0.9252711479615596, -0.9347806105549101, -1.0295747146537995, -2.3178422638661544, -1.7046004803675097, -1.8010273101692416, -1.7999755925597596, -2.727682103581856, -4.640090346498717, -1.880797383998468, -2.2339975080793306, -2.348824011526768, -1.424020003209578, -2.174323494651823, 0.5288399361237961, -2.2168795402502166, -0.6050141605106436, -0.311830363565471, -0.9398778446046705, -0.7475647713800015, 1.3672145684558499, 3.5108069933792265, 0.3331648950669448, -1.119645401745536, 0.42824716980750144, 1.46614571610057, 1.8444042459387726, 2.310444142326816, 2.9784430467186516, 1.317312997427941, 0.8681974109405624, 3.4648557427402285, 2.435872469578777, 0.39031231510811737, 1.6696285774040232, 1.1457074963257599, 1.4417788475512525, 0.5524419840143742, 0.8776503230135908, -1.2267884719090774, -0.9513164235220224, -2.020077731960529, -1.9634633810151199, -1.7166407557761219, -1.3688608443921018, -2.282863755850666, -1.4638189564335455, -2.003599672379465, -2.4785448941877943, -1.0252198864440791, -2.2310165719760002, -2.901803045430567, -1.6763513342507466, -2.4737922852544365, -3.0591521521825467, 0.9732260381657492, -1.3317024413954843, 0.7891653376458855, -1.4342028019586595, 1.7777320175295659, 0.8810359654180184, 0.8777921371937232, 1.3613863162676691, 0.8794502337924943, 1.407958422840094, 1.253717443486901, 3.0757666386189584, 2.7399810946998393, 2.1529779463021925, 2.3549824421954604, 2.473654486315618, 1.9596113060280034, 0.9966884380206384, 1.7519157641315364, 2.41001683330176, -0.005050131371102218, 1.3403099384343773, 0.5167970382045002, -0.38051680899331564, 1.1082261181765125, -2.207675949288591, -1.5891298614717715, -1.7598957456041244, 0.7329012850479564, 0.7224502533567052, -2.4988812605114745, -2.1736494887785875, -2.119846658726545, -2.88712336330326, -1.674980222550161, -1.184781788561188, -1.7084756984694365, -2.968726160687303, -2.533958438365374, -1.8958032917477015, -0.4583026892519161, -1.4641843807812998, -0.8618908776688486, -1.9440701969413046, 0.9730997065392113, -0.38462363481608863, -1.0311342300528308, 2.5365135364635165, 2.031990028638538, 1.2807218969255088, 1.3643670398014944, 1.693375663325346, 1.9611489072047654, 3.3241667829644506, 0.8589506773591162, 2.92983503250863, 1.1249796021996932, 3.0172342553894493, 0.36040815821917316, 0.582311172501015, 1.0933402335520725, 1.585420146725383, 1.5338452306137644, 0.40250543893731133, -0.03573951378112994, 1.1567296342067126, -1.5497731765971894, 1.2345569349434677, 0.1257507241067054, -2.118050211528928, -1.5637318253860966, -1.389936944948741, -4.042141132930917, -0.4241259470962766, -0.5717688168302093, -2.211913140662743, -0.2748022379790125, -2.059930926408436, -2.343892203571146, -2.3829547753247655 ]
[ -0.2753074216124354, 0.24567904243630903, 0.4247709749019477, 0.6472860354138196, 0.7029814796958147, 0.7277784172196222, 0.8295832053970097, 0.9165893002591707, 0.7864240853369605, 0.6311633884529604, 0.4732034785488167, 0.27547154841140487, 0.1645557284213347, -0.20092365767817555, -0.6134128680098108, -1.1719001897097852, -1.4221374760701342, -1.9253000581234434, -1.853601195822123, -1.6898774310020097, -1.9438777938668743, -1.9469491422254954, -1.8339818522228537, -1.7190963117648121, -1.322150019452468, -1.2941617288685192, -1.0575760775332912, -0.9713888235044019, -0.35386129043581216, 0.11319601662651202, 0.35215164901206597, 0.37755480391774876, 0.712933095190716, 0.7291693611054755, 0.7757429167022916, 0.6553102304736463, 0.46799207434505363, 0.14847542298708227, -0.009273063092992362, -0.3050706543807515, -0.7124598151116678, -1.3908991423029162, -1.6762172910083044, -1.8902998824296462, -1.959653755848173, -2.165572656266367, -1.8077275036924172, -2.0552140959442027, -2.239782961556264, -1.868765123347034, -1.4595011181177717, -1.32749381262574, -0.9694592344393902, -0.7814130869578804, -0.5571176070545765, -0.43443686482213295, -0.33580208074348494, -0.10204245741470697, 0.35876407584939196, 0.45298499222227373, 0.5579279588898509, 0.418268398882349, 0.5070631773722133, 0.20340509469524015, -0.2337856878017084, -0.31807020915969536, -0.7566104875085824, -1.0895198876966385, -1.1876484715292093, -1.7424111091455974, -2.0046735133487594, -2.0456183901712124, -2.2288697071818033, -2.413109661847238, -2.1933287702584394, -1.9682757027384374, -1.8297631990746899, -1.3650348692982202, -1.2816976170500158, -0.9340157304242572, -0.6168672242143562, -0.39738827632654017, 0.09084165367495156, 0.6512779869782118, 0.9484920848975988, 1.142913488332537, 1.237715170493739, 1.1303668373118796, 0.7741912777089496, 0.4663362953110478, 0.06630665513431999, -0.4695620900039964, -0.6583847801313931, -1.116744564683745, -1.3866391824327233, -1.7330379385215942, -2.2228169948060468, -2.197684892292613, -2.2598157425630734, -2.3394755712817012, -2.195896008406847, -1.8823232841429234, -1.8194958348855579, -1.7651850382059162, -1.4353306798427536, -1.1810882195276922, -0.5982942901548155, -0.10340756735045525, 0.19015338449648744, 0.6337231779450148, 0.6339008275178815, 0.8767642968514108, 1.027574576747008, 0.8357837751000345, 0.6048389963307613, 0.4953399926311144, 0.1205084465300792, -0.1691278260046859, -0.45099708537387007, -0.6128405888116288, -0.7497923213503759, -1.009484328867214, -1.4396678507845873, -1.8084976330792224, -1.9068019439977604, -2.3131365285032506, -2.363490339133689, -2.111041621542357, -2.2380875268212996, -1.933270373757473, -1.7289531961752787, -1.454076063048313, -1.2900830730975135, -0.895528845077968, -0.7285927929943634, -0.4691083169825765, -0.28210216391769194, -0.1715564312085074, -0.16532665544282876, -0.348965180903436, -0.49448851856064024, -0.8336534937019104, -1.179181861880828, -1.3903537526561034, -1.86024328071148, -2.27949318947588, -2.5581991791759386, -2.8722209060890203, -3.33504591213487, -3.6345425021173403, -4.215610192299916, -4.619424115915173, -4.632436790258954, -4.5477778481831646, -4.5359711562356955, -4.309301392342511, -4.077744150352526, -3.896997959151994, -3.408016140287194, -2.8513091081114967, -2.5315828887712732, -2.122270194292421, -1.9813685643007544, -2.08919222928972, -1.8206557679248139, -1.9413081157327723, -1.8050099564290925, -1.9979039056692434, -2.149464334569285, -2.5032363275432417, -2.880088595817705, -3.432583307566086, -3.8281146851904806, -4.0559886100253175, -4.57264737730945, -5.079290680798591, -5.15429121155598, -5.25305713165301, -5.391672255219024, -5.53350441075993, -5.783855805242481, -5.859471713353473, -5.395669198850634, -5.228557938544048, -5.052759229409878, -4.558719429043008, -4.457118606624609, -4.105347058919762, -3.515182454326463, -3.2915098270600613, -3.051988725076625, -2.9894934424865687, -3.1106208079263364, -3.2070828264029987, -3.264364617143439, -3.36753177700193, -3.5044947239836572, -3.65274502456748, -4.2759253528423535, -4.50554318448644, -4.7404225827751905, -5.281018028764299, -5.57272853072336, -5.835816033873648, -5.997904568503077, -6.242248051057565, -6.257854197486025, -6.24444519534053, -5.808801011528837, -5.729864503328902, -5.603524722784452, -5.28215515457851, -4.970744854027517, -4.769189507259589, -4.3019371257388705, -4.048579798542708, -3.841009998828704, -3.953772658976988, -3.7059352542408197, -3.68877143763575, -3.5035702954446113, -3.535520593865136, -3.799183372618895, -4.106571552723658, -4.52811364599792, -4.964202926195864, -5.0136726465933155, -5.6584169722023665, -6.0571442507463304, -6.537771491379033, -7.044280440106838, -7.160896334342981, -7.253108167059681, -7.224327586201435, -6.838141114921555, -6.828445478932483, -6.140394181263897, -5.956269503835276, -5.778878800369463, -5.4432453799734, -4.971543165652965, -4.6819427848633905, -4.425617089483403, -4.068197425968249, -3.6924285536773813, -3.4493433659570463, -3.075025212899237, -3.084429008294748, -3.054631413653595, -3.459652061801591, -3.838090628452859, -4.141698677597824, -4.620164736845092, -4.923770605042714, -5.379886991778115, -5.535721698430188, -5.729544817017496, -6.019877710083676, -5.7502519789740365, -6.020138377355137, -5.9982742266967595, -5.684236535115939, -5.5553430124556815, -5.492310410961536, -5.339903532771359, -4.867974166178286, -4.4395757689005775, -4.0372493324243, -3.672378635490232, -3.2762488829279373, -3.3485431235322896, -2.904979549713377, -3.0469127403756966, -3.153936950262919, -3.156935264611306, -3.4325957425277798, -3.726275000589144, -4.307745981748156, -4.882621754277298, -5.523646518284259, -5.8730574177219195, -6.1704000325056985, -6.4255232225438395, -6.6479032791337165, -6.701328295056181, -6.546550971779617, -6.959049815206253, -6.609071979754652, -6.4166652339481365, -5.962786173029687, -5.868733223887274, -5.55913954071176, -5.2215631674337075, -4.830434901595633, -4.450829511974159, -4.404304313858592, -4.136774730634905, -4.273463898712882, -4.103959845640072, -4.173396530766457, -4.307842924170505, -4.541589272303938, -5.169852422809932, -5.709363842935924, -5.87732630693704, -6.099951113661137, -6.288035772958649, -6.430232672943236, -7.06608003041716, -7.625843016645348, -7.70077424085917, -7.791320566475199, -7.618989746444141, -7.619897056716269, -7.719783088546404, -7.191107679053195, -6.941713043078801, -6.646419320195775, -6.167889321875767, -5.83384950276926, -5.3806304650630015, -5.141156180323572, -4.761743139407278, -4.6338798362346125, -4.224869527412195, -4.0066481534756075, -3.9692983264682145, -4.000994916723197, -4.078125920314647, -4.464015502042564, -4.898342300038122, -5.3777272414457435, -5.910568522217817, -6.214668980447669, -6.661306192177082, -6.621852820654562, -6.91888738014721, -6.966565988638294, -7.026292059973063, -6.954228141326298, -6.825704373417278, -6.584869017152876, -6.438726771651002, -6.274111861548744, -5.949524981008897, -5.750468229641152, -5.554331129756547, -5.3250138731051635, -4.939131433338823, -4.7575773790400335, -4.560336887917639, -4.2805064616772315, -4.497990458211619, -4.302086535292685, -4.283214482509255, -4.448931361113532, -4.531657492862631, -4.895243023127581, -5.523303223124962, -5.712010576207839, -6.223553643365672, -6.448299356257708, -6.9125847806767275, -7.036472547263168, -7.402322322812548, -7.615399180902222, -7.5543229985834435, -7.373789889783268, -7.492115486457314, -7.0267759158681775, -6.523581130857126, -6.0150838369702475, -5.6783797677552865, -5.205351737107709, -4.867725433918045, -4.800911894235784, -4.560146638752889, -4.75879470643396, -4.88092461312732, -5.049424883485872, -5.164122180275164, -5.112076326319208, -5.735158024822941, -5.845028431748482, -6.1172055583261695, -6.410301116481841, -6.889355306653208, -7.262126760382172, -7.600817644680687, -7.605691534873705, -7.572318035847655, -7.567768074973618, -7.614300041445025, -7.671084336042078, -7.643589211958537, -7.176203419140788, -6.6410184215173444, -6.393005101531925, -5.91710893900218, -5.30744141574876, -5.225852214779174, -5.12984531905017, -4.944314987865529, -4.799165518640467, -4.6606002912533135, -4.807130247945061, -4.765858583795686, -5.151374676974177, -5.242766668467208, -5.4442962872367255, -5.932946989727176, -6.4811947636094125, -6.7906893030260225, -7.385683732039653, -7.801936809205998, -8.362103086183048, -8.720612439268875, -8.706655964705186, -8.479795927379728, -8.497150267041034, -8.403091778416, -8.180944111771053, -8.04576101849243, -7.630420269992112, -7.411192766425837, -6.95780917481306, -6.5666488256444815, -6.024108262937918, -5.837818374649794, -5.674172313918998, -5.504860465316891, -5.569716057871123, -5.770076833529131, -6.141080053231079, -6.498795359828655, -6.8598348557600195, -7.1756630255324945, -7.577262988736356, -7.716174033137574, -7.952226970759095, -8.23096858094256, -8.35084649207729, -8.378864625708554, -8.553393473092669, -8.399339983212833, -8.239693466086209, -8.384045744872985, -8.530839325745971, -8.543866052468235, -8.291271863373773, -8.093853275086541, -7.391631063881269, -6.998505728965329, -6.6698344162465215, -6.569514622782219, -6.311082692958035, -6.245444758347411, -6.144631518131312, -6.3643686575653415, -6.3304586775106095, -6.445851601274268, -6.7842429566025775, -7.066996009750038, -7.397573857120465, -7.601734719466542, -7.961904167990356, -8.268304972027735, -8.36046490680751, -8.851198033974903, -8.956350778866957, -9.158411746732403, -9.25244735699343, -9.01570386016256, -8.687148830545553, -8.608947945975022, -8.701775411068885, -8.454568153247948, -8.010671452334305, -7.6269891930394484, -7.238985867183315, -7.0290151628819535, -6.751054637876453, -6.586464188861342, -6.127828962150526, -5.954491408119091, -5.978664094549662, -6.138639002144716, -6.470571414513873, -6.882248621673204, -7.150575124987935, -7.499367114327998, -7.778752772364351, -8.31032341373245, -8.62120858851293, -8.834414813636243, -9.15815581123708, -9.197337451443321, -9.421586354083754, -9.563516734784216, -9.362243722654437, -9.23673285216098, -8.76526987533913, -8.499873933251935, -7.848945300521827, -7.53049942213716, -7.068169955664895, -6.6571199150668425, -6.343479019677349, -6.058704176786556, -6.042030906216256, -5.786548974215132, -6.074740310722898, -6.322493715235492, -6.474195841805116, -7.0189352393916815, -7.172618497871568, -7.6198201618807415, -8.062167691259692, -8.252870629722606, -8.473508131859159, -8.73259830415952, -8.937367890595095, -8.850787199874299, -8.703962707684013, -9.073132705321804, -8.9377358239801, -8.75068803113524, -8.725621343330674, -8.551487212315525, -7.9103235215409855, -7.554863761712483, -7.124127732498946, -6.723982726164313, -6.453410501067082, -6.0553647798936225, -5.493596267969698, -5.3306813501881365, -5.252101537982199, -5.217261670806725, -5.416586540778025, -5.609437905026977, -5.847923453071697, -6.298860794018013, -6.699355100418439, -6.967186810180599, -7.608201909997641, -7.8946640903239045, -8.616239030344314, -8.966955259100944, -8.85298768889014, -8.784096468436251, -8.81100815334097, -8.888312952689088, -8.591328514384024, -8.572998557872072, -8.25829728471363, -7.8441642390382045, -7.538127151478146, -7.256840145734714, -6.911851166562538, -6.599793177552476, -6.672482698166812, -5.9759739876374525, -5.790203799459843, -5.567176939375689, -5.627454941086771, -5.4533372851342286, -5.635933696429036, -5.868138113293241, -5.883289304752764, -6.282835743673242, -6.776628915993879, -6.929657712563213, -7.1987689635708225, -7.280061547659181, -7.734512146430957, -8.0250801114056, -8.093893791804565, -7.891419271009916, -7.957197850596979, -7.592716156448577, -7.460146196607491, -6.908019314866851, -6.505675518894599, -6.010311287898004, -5.572972639055941, -5.149501199897202, -5.131751487345019, -4.673215433764574, -4.612036099838905, -4.441078633103299, -4.429929735977073, -4.6040526505049115, -4.71346139108942, -5.180269869111132, -5.643433181467215, -6.125494722752765, -6.502525128526377, -6.781671332428946, -7.168977822186322, -7.593522370726034, -7.663444368803366, -7.5638723433602415, -7.729081109628129, -7.8413883871670365, -7.762651254455728, -7.531758894922221, -7.38342503904476, -7.0100523513482464, -6.481683614099766, -6.123794214960664, -6.005087751169217, -5.589422746591265, -5.416415628872811, -5.107063322172332, -4.871628311843381, -4.885981315607684, -4.9348738477283165, -5.101110471590449, -5.066265883740725, -5.395535233521102, -5.657258028021444, -6.3004397896204605, -6.6913771524244225, -6.920238779447478, -7.043394009136039, -7.263832678171548, -7.559892903838848, -7.823307842729946, -7.953587015617305, -8.112540111735065, -8.062503569387834, -7.931555770199234, -7.757051029188496, -7.332729175417159, -7.181388101573343, -6.705921206482869, -6.131675621216267, -5.793785375545576, -5.390656323135879, -4.995674919211967, -4.533250836198076, -4.530107789409, -4.486365503401506, -4.443037410588165, -4.5333630587139195, -4.537480656272939, -5.003133585701637, -5.265645354817204, -5.582051829012095, -6.036549582020061, -6.188763455772737, -6.543828209142789, -6.865296194432213, -7.4530199582318915, -7.403561250045549, -7.562278327834481, -7.547350510216359, -7.503447023425046, -7.243828653567549, -7.031174450541063, -6.765065588588629, -6.197268643826795, -5.743729250326861, -5.288306803358729, -5.062395272116563, -4.662569367360865, -4.509494474030385, -4.184981219984142, -4.00219333464641, -4.05370686534546, -4.085613056505972, -4.1671792037614, -4.243170571745372, -4.568428686476191, -4.7565765274934515, -4.861943580541948, -5.100494052300415, -5.53710572964416, -5.720294503695114, -5.823039566223604, -5.886305487214869, -6.1963157053141416, -6.543995463773538, -6.794055009131221, -6.901639163070251, -6.786941835129421, -6.5006270725731845, -6.448169213074244, -6.02663440029908, -5.651286126163181, -5.219196219904482, -4.684595058514381, -4.321682420374247, -4.138997940637898, -4.141939824771092, -4.086033077836424, -4.404812030131622, -4.427916813768106, -4.426896374971948, -4.721589331644973, -5.084670797704231, -5.497485871981542, -5.9465710008514945, -6.297139510011243, -6.470099402281062, -6.500330929230612, -6.551330150701572, -6.719597103260664, -6.643596879452122, -6.675122483684294, -6.659834547921934, -6.33952209021518, -5.9327437641872125, -5.614103833931367, -5.303868775645891, -5.059827891359207, -4.8054361038669615, -4.5078434427677, -4.168712010851939, -4.041688990876372, -3.9594716673079553, -3.920127399931978, -3.904433650342142, -4.115281284187194, -4.3438934765054515, -4.485762042026254, -4.849938211299959, -5.193878435777267, -5.545867646061953, -5.903112542121566, -6.31365525970683, -6.735047569558694, -6.894824560941271, -7.44071088362769, -7.691080343795936, -7.6071368864641205, -7.762382981171996, -7.692619679946496, -7.12256693563453, -6.719586046610815, -6.305453241706695, -5.946223112168087, -5.459424696357769, -4.883011409412151, -4.405089315530518, -3.8953409537664396, -3.647276245666511, -3.53992585827877, -3.646820381552411, -3.5839618883100535, -3.6060753419340372, -3.8661616606645204, -4.130844897396656, -4.68368028675221, -5.225554490296492, -5.660669281194598, -6.085860198750272, -6.575095549594295, -7.160651744392706, -7.344002851723838, -7.272454149645359, -7.194514398919343, -7.1754828765725955, -7.132062854950157, -6.837824031076383, -6.5450125981993095, -6.184833322528656, -6.0998290674682085, -5.5591901163871, -5.241681491674928, -4.850665746461886, -4.639359889827717, -4.258548666952116, -4.12679894091465, -3.5503745484752596, -3.6008231377295257, -3.7474079667272897, -3.7536749173106805, -3.8888442308586724, -3.891718715096694, -4.198784603932991, -4.243880331218347, -4.556639949519577, -4.896137843757591, -5.3379947892130435, -5.5668153137615874, -6.098215049705374, -6.223713922362778, -6.4563230887875624, -6.595801855437177, -6.384999786036269, -6.222835519587736, -6.076021282813174, -5.419537554970426, -5.16215001719856, -4.798954783667662, -4.62572959553113, -4.297695143050555, -3.8659639135476613, -3.567055456242727, -3.447549893080083, -3.0680818014605062, -3.2465957932090883, -3.2965936020966997, -3.3358352414792662, -3.522432476942937, -3.6832302472473355, -4.068947601980592, -4.240081276973483, -4.616116345259267, -4.917899174473146, -5.395236183254794, -5.5670589066996, -5.90404467850391, -6.388660649430837, -6.326962151298529, -6.159484443985538, -5.786104304834208, -5.520568401477432, -5.13529678103327, -4.621510505098459, -4.345302932409345, -4.143884410394288, -3.8074718630391637, -3.6328265815129828, -3.1741955340303463, -3.062854222970702, -2.9626038262536714, -2.704174420461448, -2.585027411551703, -2.716560512596427, -2.814280866848684, -3.09050547119488, -3.4545723642064443, -3.6319829915290223, -3.9352159675038476, -4.273630665999278, -4.656262287505091, -5.103735894139674, -5.344102169447217, -5.330214788938165, -5.266709793077613, -5.293672095851356, -5.08045219770361, -5.03110146537998, -4.756328052776511, -4.244670712958888, -3.7609862941619325, -3.0283192042045464, -2.627551346683423, -2.022668833787411, -1.835636436372047, -1.4009378138093105, -1.3799882839544266, -1.247687157451409, -1.1055398774396987, -1.5510131551098971, -1.833842504039558, -2.124499844213892, -2.355763593279188, -2.746419911478078, -3.320018441073636, -3.6317033818246065, -4.30254849543524, -4.356386077870758, -4.786897495487935, -5.05052050055102, -5.266082098671044, -5.2934717550449335, -5.361227441850389, -5.500970224064108, -5.3034232894112625, -5.188289353728366, -4.783201956305445, -4.613218625763012, -4.452746766140408, -4.195218727196217, -3.7663168522089725, -3.508202841201145, -2.9677952681401623, -2.564710432459396, -2.3329221009057717, -2.3632081533472116, -2.515522015846569, -2.420133014473919, -2.806816334513859, -3.089670856532458, -3.4848450117188863, -3.9477145727689154, -4.29630845256968, -4.665304469883957, -4.804460158606334, -5.237662145047638, -5.488379360623119, -5.633415664779111, -5.514218335246421, -5.405878792738342, -5.378557669783144, -5.295105744909766, -4.743448789799576, -4.253286751340654, -4.107376782450415, -3.6916421632528316, -3.326791783600889, -2.868281391679192, -2.6202092606062863, -2.3367669255968844, -2.2968498501187002, -2.44088021163817, -2.7405641457415677, -2.8810267473573203, -3.2673232064520206, -3.609192516696345, -3.813458569126348, -4.208331802166914, -4.768838743560794, -5.251430468854397, -5.46193939489603, -5.843454717022475, -6.002218793806144, -5.915704332581786, -6.094968246279705, -5.878425465226282, -5.566105580427189, -5.211375592443722, -4.956013461079195, -4.573403502456246, -4.214439067958557, -3.8333041798606087, -3.5958952014926537, -3.5103899508398495, -3.4142352108722913, -2.950611673004114, -2.47143499982049, -2.003009761262954, -2.0718468097993394, -2.305515797875977, -2.4487002751750087, -2.825149907732007, -2.8865783769867623, -3.238187820425031, -3.5364094509758566, -4.150706953682964, -4.3602147112114364, -4.849772915640758, -4.929285860889134, -5.240097432239369, -5.484704165683635, -5.398735789460222, -5.3109904634943454, -5.363973005254594, -5.231571065237443, -4.836253322092562, -4.579108278026912, -4.256984232577657, -3.8992239433871614, -3.673038535701687, -3.470380659082307, -3.364223850001684, -2.9513404406465336, -2.6854488455065484, -2.68851242346007, -2.806141795074251, -2.8364023893298027, -3.130073910388556, -3.7497372331327607, -4.200245734964666, -4.522846292400592, -4.957154018479037, -5.279742989713313, -5.546875162229741, -5.5408707352449, -5.75207892935379, -5.646861226995313, -5.5887502751887075, -5.592307362596489, -5.163748793533352, -4.6071800782263495, -4.375543629829773, -4.0563771189268945, -3.512615074482783, -2.970384096351033, -2.653893042581522, -2.238446363788088, -1.985476352075378, -2.0973045499369105, -1.855179036482063, -1.638263338529132, -2.022742528365524, -1.9745822265322144, -2.2887991908667615, -2.618785334849005, -3.071330713941694, -3.27657412268882, -3.653084092234669, -4.3380032322928805, -4.7521353980641905, -4.942798021753368, -5.053133033439858, -5.24709853393167, -5.357304436616816, -5.167296124275371, -5.064187108775085, -4.749018146613124, -4.709230360299644, -4.452136547490052, -4.102596635939797, -3.3768827046378727, -3.0719074798263, -2.7757230058382913, -2.3458767233565965, -1.971804188409364, -1.760183629846622, -1.5296283386585652, -1.4835139427466668, -1.292808790677811, -1.2301326692726229, -1.3182789189012256, -1.4893114210159977, -1.494539052186495, -1.8521401893352907, -2.366712035537541, -2.658865053951521 ]
87
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Red Noise", "Additive Composition" ]
When a white noise is added to a time series, it is expected the random fluctuations have similar amplitude or distribution. Random walk, on the other hand, can result in very different noise patterns.
Similarity Analysis
Shape
480
null
Two time series are given. Both of them have a noise component. Do they have the same level (variance) of noise?
[ "Yes, they both have the same level of noise", "No, they have different level of noise" ]
Yes, they both have the same level of noise
binary
[ 0.05511114289849787, 0.3153451759769589, 0.45159302150419234, 0.7154468594450086, 1.0037437906160915, 1.1274425256662566, 1.0480067983012147, 1.3855843833215638, 1.462414994308302, 1.5345067328763216, 1.5873475036274716, 1.4110179569301273, 1.7495981822657156, 1.6118052988508296, 1.6620021136733043, 1.235843796044195, 1.185842467637694, 1.0227929717280924, 0.9085072169923115, 0.6521850997105549, 0.5285058411181118, 0.534756746909343, 0.016294021839332817, -0.14017692544956306, -0.49155909242503537, -0.5422045367126157, -0.8022112762490183, -1.0027231043734066, -1.229143999727204, -1.2646169860529888, -1.4166341028559355, -1.425610525774311, -1.7167550974091415, -1.6192988643844515, -1.6219296080363974, -1.6149631903360049, -1.4801184517232977, -1.3250904367905552, -1.1987929971461344, -1.0614325986205488, -1.001927383270025, -0.6768130711756274, -0.623692038871371, -0.244317090167439, -0.08766084658695494, 0.30751347219818326, 0.4160021338266143, 0.5485940568291905, 0.9211323544882211, 1.0399475369282882, 1.1921262510721458, 1.3252284032350072, 1.4155067201653406, 1.6389295864377347, 1.5959355816733123, 1.7001332138000749, 1.6785119892547118, 1.6888809118124577, 1.5220857966071983, 1.2335907833322268, 1.3499299753981608, 1.0931825329506284, 0.9042222486902117, 0.9569993417520848, 0.6245279283818361, 0.32541356541616934, 0.03168130908573258, -0.15866674395072122, -0.6266247014673897, -0.5209833045310608, -0.9198629482720149, -1.162100464554205, -1.3016754028706636, -1.3937814681402951, -1.423896534547457, -1.5537645271682088, -1.7032730782020453, -1.7074410231220214, -1.75461228690849, -1.5171691049423472, -1.4399649634505218, -1.2725476599910395, -1.296504834946609, -1.1135363882549763, -0.9051430185696008, -0.6755526607315552, -0.711772771458366, -0.36028291410058233, -0.11296629688190463, 0.00011346430460962287, 0.4967625874697966, 0.44628351717034886, 0.6774825045888199, 0.961336820491568, 1.1575839797837897, 1.4721111307913342, 1.6577467682716487, 1.5674332471529464, 1.540948788743861, 1.5205381880983833, 1.697663090499125, 1.4781335435948844, 1.5003017188474328, 1.534691857042258, 1.3557750014567425, 1.0730355092702202, 1.0369287043402888, 0.6981170829340232, 0.6848858549562082, 0.2560613842736501, 0.2159968962636941, -0.21754655684074106, -0.28075233680991973, -0.5286841243901331, -0.8704053908915375, -0.8091851513643105, -1.3080306167267655, -1.354735360923748, -1.5464152177320796, -1.5125400842337189, -1.5759433286297597, -1.7410921828320298, -1.6422729051409037, -1.4547950724473104, -1.4826392671235786, -1.2746830388480848, -1.2711728370430286, -1.3055068505796132, -1.071441874948837, -0.7813790122468409, -0.6686480094998771, -0.33579294193850384, -0.011298195445998277, 0.24892473733830217, 0.3417444561566353, 0.49687895656937464, 0.8746638109311275, 1.0441655130681613, 1.1533140794086965, 1.2565161098243705, 1.2505130694737452, 1.5669777791870572, 1.6418992437711162, 1.862906187965901, 1.6008500663999587, 1.6388978609276903, 1.571185634430594, 1.544865628538984, 1.4078986390380814, 1.318941718507308, 1.0458381527200473, 0.8559596851890476, 0.7078806669165185, 0.39167621131915853, 0.13799091530650137, 0.05262870282587878, -0.21394938151176537, -0.5978031344931054, -0.7809843887426946, -0.9552662477418492, -1.065172699584426, -1.3529183201924182, -1.6035165435922072, -1.4464761896448675, -1.6208591585986754, -1.7529589670845667, -1.7854631159576089, -1.4830686969543245, -1.425385622149496, -1.415921566483861, -1.377023540070212, -1.2087821963401773, -1.0665393768236846, -0.8850923219424941, -0.6335015878035453, -0.48618491259078583, -0.25970025630981314, -0.07756066189143293, 0.17932995641875754, 0.4623933481946885, 0.6213986157364617, 1.018610927568397, 1.1091765166956946, 1.3341877650235494, 1.3926887903639658, 1.4662105223491113, 1.6940922686617028, 1.5748806767863253, 1.5754106696654329, 1.669910106853529, 1.5331801323584688, 1.5280105192198714, 1.3080807845871305, 1.0268007746550842, 0.9791439469364578, 0.9178114073638299, 0.4903620163231581, 0.3821051883650877, -0.0030307313474083053, -0.06049883947091187, -0.25595424048326176, -0.5853616037592013, -0.6835872017406973, -1.149541499896402, -0.9007319904535087, -1.1465856487895294, -1.3325756174731085, -1.4194941294094405, -1.518023148592245, -1.5725398248211206, -1.5112559397034957, -1.6634658334313843, -1.6689123722005041, -1.6549222612443342, -1.3271890671473603, -1.1450312925814996, -0.9631162072040067, -0.9707301698364772, -0.691092220681788, -0.4915725895892943, -0.17876501323798225, 0.00043931876320357777, 0.22739332905380227, 0.5372640732614132, 0.7386775699167756, 0.9661487813757375, 1.1254472407003195, 1.136213091687718, 1.2580995376135444, 1.5826260126048874, 1.5876144790442104, 1.7473752183863238, 1.73874290620949, 1.6367414491709265, 1.6689935290008147, 1.6571818097259738, 1.3787183848774793, 1.1183378506362054, 1.0766329073227747, 0.9448687061480094, 0.743935229976962, 0.38850804641199665, 0.1345300296012976, -0.03158504021821607, -0.09132602984372284, -0.48946853514904604, -0.6730853805473086, -0.839960383092682, -1.0367606008800425, -1.1827212913364178, -1.3938219272967443, -1.5098127711812386, -1.6302244172000215, -1.588592819130179, -1.4452353182474138, -1.5213950560305718, -1.6610150114296798, -1.4414353493791874, -1.412285211032824, -1.2641409939076274, -1.0350876123469832, -0.9207917369004396, -0.7031978269308944, -0.5532018342414309, -0.23598555678314928, 0.0066633643163823125, 0.29875006450835145, 0.2856652504453111, 0.706791512633896, 0.7845662019273081, 0.8528541078156768, 1.3458439103889448, 1.417354610984076, 1.6742992830687466, 1.62101422363173, 1.6967628155872903, 1.465946347214448, 1.7033614249514872, 1.570148731842375, 1.4688490582464853, 1.4235677688207884, 1.2746225510514497, 1.0489258902043586, 1.0017704611795115, 0.6752768111874589, 0.6779445648470834, 0.23750457119110233, 0.029697086529162593, -0.18799684653765938, -0.4919887737513063, -0.5651072160413841, -0.7798494588942617, -1.232773024998394, -1.3657598383848697, -1.5711269467616, -1.5722372723519418, -1.699030875423763, -1.6430108212978491, -1.5883099777407867, -1.3684305847818532, -1.6859358621977039, -1.4526795646371742, -1.238006007837342, -1.3222168667023753, -0.8387043352651322, -0.8213405730467267, -0.7964389714919358, -0.532086327764258, -0.1543524779094158, -0.13683508160151495, 0.06980862382973038, 0.3785533198360631, 0.5573443819720896, 1.0225999577464762, 1.0082647252783377, 1.1337958101323327, 1.2009340029837914, 1.323711216783895, 1.3910049376836207, 1.8102786244792695, 1.7121904620633568, 1.7707735773826014, 1.7479857737160935, 1.5285597598054057, 1.3752901667192685, 1.4142954689275289, 1.2422374312925544, 0.9597043017355649, 0.6020053824752486, 0.5396202959333275, 0.25146696074836833, -0.15715889021894935, -0.19301349539929177, -0.5262038736193237, -0.7886839634712103, -0.8701504780988417, -1.0464704529092563, -1.2184422895054754, -1.2986385355785173, -1.4129397928165637, -1.547072875293104, -1.6262289665727059, -1.5034607893865286, -1.7309491697865413, -1.7545310254119255, -1.496881618215404, -1.5762936009306752, -1.2885992443940217, -1.0480463233291974, -0.982730055176853, -0.7754328715606423, -0.4048129087872663, -0.34156316816941035, -0.10911910625161758, 0.14736814119929456, 0.6041305171969387, 0.5275820780584829, 0.8240689084921602, 0.8620624707046782, 1.0451143909003395, 1.424059304876171, 1.3737766732414567, 1.5813228184553396, 1.5683616142665047, 1.8939135059509788, 1.7207482264941036, 1.6068792685334408, 1.5683695744670767, 1.2965086858979342, 1.3258953481490128, 1.103131064013823, 1.1099068739793445, 0.7633626442335714, 0.47153081300710775, 0.48004443439197797, 0.03395363635002789, -0.2449653904695873, -0.3437757194048068, -0.621669425083762, -0.830194912769633, -1.119590680233071, -1.2633612218142727, -1.3567538192956232, -1.611033569201708, -1.5938486678846255, -1.51445224599993, -1.6688087329010528, -1.8207561026500056, -1.5088805604995845, -1.6928354243548427, -1.3807333289054613, -1.2717939532806792, -1.3057926845508439, -1.0259083287601802, -0.6778814580922254, -0.6200218241704365, -0.5004860160385247, -0.015557323462123462, 0.07369304754527473, 0.48954361381084144, 0.5557102708658621, 0.7673832818030905, 0.9894696622664356, 1.1697086812798843, 1.1762982335333336, 1.3032725780903187, 1.418912635745995, 1.774316639585593, 1.4885118390455763, 1.569795829730016, 1.614396615759, 1.4571159607255095, 1.5140979557017233, 1.3106186878475006, 1.153171549240908, 1.093769345777982, 0.6073503682955346, 0.45890041844312324, 0.4780360806185326, 0.03588163891425844, -0.19655343934662087, -0.24218957694586596, -0.6702459002719313, -0.7974173629037496, -1.016564412126885, -1.0694590024901842, -1.2233121726261384, -1.397627207609249, -1.4079750841573915, -1.7000583920093297, -1.6883698230353579, -1.4200246542690445, -1.5454034750930625, -1.4631256683114842, -1.3675969214999082, -1.195220316702004, -1.0782108133572559, -1.059744948606684, -0.9528088716703645, -0.499980525113439, -0.2161371833849873, -0.04873138364578018, 0.1387338168092166, 0.47145790442979285, 0.5767515615735475, 0.6285163910748968, 1.0224431073937095, 1.1752056215326194, 1.265052047383325, 1.4302855471187281, 1.694461968335171, 1.668730199648585, 1.7207416611967004, 1.5780369803405554, 1.4481715438832894, 1.63831740248829, 1.350533622503215, 1.4436882612034234, 1.041300962536515, 1.0894229269160298, 0.9624358573229596, 0.7128841859386574, 0.39428885766087085, 0.30695154905593314, -0.09804242327539897, -0.3312990892742431, -0.3810819438338777, -0.8489359163681471, -0.9944593445858263, -1.1593685468395176, -1.2311563068495621, -1.3266626365819234, -1.6080405057769227, -1.6085046956110465, -1.5995423465013778, -1.595050418558402, -1.3623361270441505, -1.3908647275723587, -1.5165514778824947, -1.3843559225863162, -1.1561630018760907, -0.9372092505715017, -0.8121717352906422, -0.6152588566309083, -0.32856436739483064, -0.1523720837208555, -0.024037573862916974, 0.29319871211327336, 0.5622054385724238, 0.8021550636961763, 0.9345124693382066, 1.1983786071835063, 1.2543017595195576, 1.2618930517791276, 1.4948850647710292, 1.3507578085675098, 1.6743268781234466, 1.5500530184737331, 1.4469853155618702, 1.4304477156326836, 1.524699633967149, 1.2526497245706265, 1.1631131509990986, 1.0804492932503917, 0.7742441217045961, 0.6886970128140486, 0.5507590440943275, 0.18971253015053413, -0.006824177209988314, -0.07168524950544045, -0.44651454192800155, -0.6634039126893083, -0.6804086395996627, -1.0757640102418666, -1.2398291820364835, -1.2983454961781746, -1.5323875997042227, -1.6826737722096432, -1.9021352591552356, -1.4510392872243258, -1.7002148054743447, -1.598439850786135, -1.6606852027270305, -1.3241431986239574, -1.110491599256125, -0.8939311412763868, -0.7633065962522584, -0.6746082404057314, -0.3039550282540186, -0.2702786787414321, 0.054063760841572536, 0.2235572812654443, 0.5099101402808328, 0.6070610349362059, 0.6333051281982257, 1.2299769622701395, 1.0706817807668616, 1.4656666987630254, 1.7740865149440095, 1.496346105917787, 1.6798902984285933, 1.6463377989051484, 1.6265625239205548, 1.6109131743099683, 1.653829235672037, 1.31992432197461, 1.422541356925107, 1.1002473640203796, 0.8342173631663395, 0.46941766896946036, 0.5033044145616034, 0.18983649130234215, -0.024019197236374298, -0.16925953189224024, -0.5190219393139597, -0.6472340116799755, -0.8835947600919413, -0.9130385744562317, -1.1970460168254407, -1.3349910874831414, -1.528049300172057, -1.5582644455466932, -1.4757249512290365, -1.5902773064673021, -1.5003572037747155, -1.4546997550029617, -1.4889701538707776, -1.2415740651444644, -1.3368310321185963, -1.0302728336835056, -0.7448889726006864, -0.8161630512989926, -0.4497046219855539, -0.33313779151241135, 0.11821469996342417, 0.2521023454200624, 0.5152718492892221, 0.5771488401292044, 0.8274402408370962, 0.8171916921775502, 1.0729609940030786, 1.4141167028673918, 1.5163978783659864, 1.4256167270800224, 1.6307979542472693, 1.646667071755788, 1.8265287724522326, 1.7331896438718306, 1.6522025945209025, 1.3669052671105322, 1.1952205221336558, 1.176120875124878, 0.8348368720165653, 0.7013711242954666, 0.5895947296347412, 0.32110582568547286, -0.0987718751475436, -0.12649964081718074, -0.4909264498620951, -0.7066236672561361, -0.9363978543976109, -1.090058229703749, -1.3401687156597564, -1.3068374647449115, -1.6184862980419763, -1.510678537415141, -1.5418348931256132, -1.6058604741992257, -1.6143996033726034, -1.7160804661281963, -1.4106632235779317, -1.4629307289176632, -1.277182001245852, -1.1526000964333265, -0.8288815335036168, -0.6876203164292854, -0.7359804745797227, -0.12166842939760686, -0.024604927554806463, 0.11999638656035254, 0.3843933742148855, 0.7051368192555616, 0.8562731339221532, 1.0545155968408575, 1.2330553596116849, 1.4408122121807712, 1.5772252861644325, 1.5730733412864601, 1.5571536122069911, 1.7394498417410518, 1.61294227833549, 1.5753448679834956, 1.5718966262061913, 1.4934609276995061, 1.3210030186394741, 1.1948664846199186, 0.9474886013712397, 0.5827064863340957, 0.5623509486503544, 0.30078374142684355, 0.07343016923246083, -0.34919211896662283, -0.4799987271095519, -0.845142173813097, -0.7957498881055921, -0.9083177784615719, -1.0417108550899017, -1.2342046139312806, -1.4947260572548573, -1.50242119305874, -1.6193911213034429, -1.6744450667090436, -1.6101514342139727, -1.6481237352483797, -1.5079369820927848, -1.3300726865543728, -1.4399160219139973, -1.260090511356741, -0.8741882542885239, -0.7798998768130302, -0.5322488154861454, -0.39436060911842125, -0.1877619402664615, 0.04684052406013432, 0.3097709396605029, 0.5375092715574138, 0.7566229636578993, 0.9402539374260325, 1.098982123029384, 1.2437112799946, 1.562584596082589, 1.6098084946003492, 1.6128333307921205, 1.8395131891524477, 1.7072917462948818, 1.5627228571552043, 1.670113102214604, 1.4621109459106771, 1.47017107230927, 1.2343657359324445, 0.9252019296077632, 0.8454394095694902, 0.42585088057471876, 0.33750640441867946, 0.29061080604543665, -0.04192841821105516, -0.5106747251765521, -0.4495523134883169, -0.7961158240208683, -0.9819058541211545, -1.1642533419072925, -1.4517871018544, -1.410249063195595, -1.6194655432217264, -1.4672798596391552, -1.6931812438858476, -1.5731149427097142, -1.6193762205041988, -1.5001478770793197, -1.652779886375625, -1.4206604721311038, -1.1134235433475548, -1.0934291999239996, -0.867980011974569, -0.7823068616340918, -0.2594073774883086, -0.06541708296909096, -0.02552354049253179, 0.3117757465935981, 0.585170266534684, 0.8048226480962609, 0.9936551106402771, 1.259504857213193, 0.9427813806950909, 1.455817124291947, 1.5402703715236106, 1.6470004769198907, 1.693584992118679, 1.6235139279793331, 1.7666124029340848, 1.5181919463528069, 1.558908061258964, 1.244118845031307, 1.2283553610433429, 1.1530889471893344, 0.910833293871733, 0.6629040000410182, 0.14579725513185798, 0.2343779417744486, 0.021574228650010747, -0.2919621547675495, -0.48862074437659364, -0.695240108388363, -0.8554685486765727, -1.0713907806517875, -1.1522069181964214, -1.4016247212049078, -1.6518516745678, -1.4875299322927371, -1.50959287204342, -1.5385473362145483, -1.4200787976310536, -1.5349361328501352, -1.4354879730385401, -1.4223462868152237, -1.0511490193699822, -1.2795511152534127, -0.9919809593271086, -0.6515596415675299, -0.520877333898693, -0.28552233054042164, -0.06743885775696791, 0.44604915639192694, 0.5953472939195384, 0.7357673258788361, 0.7519762973450685, 1.0844116066112899, 1.122385271488865, 1.4732127023134283, 1.5831805318110488, 1.5138209786084158, 1.6930542271523839, 1.8117596940745244, 1.556144973506751, 1.5370264229028243, 1.4099110768549359, 1.398181084477782, 1.4696032084050077, 1.0761627513487042, 0.8312055475072455, 0.7237442289974702, 0.4249806171967025, 0.24980543455849658, 0.03720111851375444, -0.18369329061409012, -0.5904650006801124, -0.6641998645052081, -1.0097952584375796, -1.1909289865250046, -1.1265015381827927, -1.2331817201343862, -1.4270546692404564, -1.5269836864415953, -1.6191625957105975, -1.5736005099539712, -1.6292564451545495, -1.7168420676367122, -1.4550486505097346, -1.5601745509955816, -1.438792824037872, -1.0656913552724119, -0.7832714940653025, -0.6329596042238436, -0.41531689952494155, -0.32765588570990595, 0.0010455456053337837, 0.2705072628982714, 0.4759809223133402, 0.67122099372126, 0.800140949176381, 1.158465333266981, 1.2974026508568228, 1.3622028846879495, 1.4885207430802911, 1.7518343292105722, 1.65020935793263, 1.5589668442694076, 1.7438705728916606, 1.571432779660661, 1.3443910107492634, 1.4975833981012734, 1.2492149831663235, 1.066689385473587, 0.9229311003571875, 0.6881970721961309, 0.4054568602225531, 0.32067928041005056, 0.033131218101282875, -0.1980007616545071, -0.4233323951243893, -0.6512142098749374, -0.8457132290571616, -0.9545699701927914, -1.1479530248911163, -1.2353241015013698, -1.4606953669609781, -1.5371391307134783, -1.6791131071680923, -1.7747578224951484, -1.6578020564938398, -1.4796714541416303, -1.534509331339558, -1.333644350160478, -1.3870639625561485, -1.1760948947014547, -0.8031274987088514, -0.6261172499448375, -0.608676830913053, -0.2601027249806127, -0.12495561600854524, 0.21947620165909643, 0.5176730320934277, 0.7737160243361366, 0.7905877316815697, 0.9084039480552032, 1.138612539429488, 1.3146696957693431, 1.6918787259745898, 1.459015353580257, 1.6604197108494052, 1.7275156451700442, 1.6151033943570758, 1.5494495602989358, 1.6392160971083096, 1.3805020349995123, 1.2105399008639908, 1.0577562555584956, 1.002236559043918, 0.7136314743749733, 0.5781327709420714, 0.26782189894342073, 0.17124515310610944, -0.03110135505939518, -0.3877878370892462, -0.6679313877201306, -0.9461363376715208, -0.9775607820514286, -1.2034018724681952, -1.311989555755931, -1.5192552957903838, -1.6366180289163605, -1.5440749220449157, -1.6263549835554714, -1.5731929951460097, -1.3951153778730503, -1.4509481447192762, -1.1700661686650984, -1.226390752209693, -1.0110069887982682, -0.9163409914802674, -0.8753677450179335, -0.4459325104327974, -0.32211091857620877, -0.13408274703893114, 0.03621872455775775, 0.4510966293295677, 0.66034891738719, 0.8121154244977623, 1.0903547123264496, 1.3083579491792932, 1.4108363312260828, 1.5659862136396387, 1.5250134701652736, 1.6463172780329922, 1.753766976378964, 1.6500192104453404, 1.5423825334671504, 1.4690653143623706, 1.3464775470170927, 1.3005181904058878, 1.3246670421319198, 0.931075319619587, 0.7240832185534283, 0.7110656518294934, 0.13883072227761867, -0.12417560279590799, -0.10711177252191911, -0.33396306054012975, -0.4914938970917241, -0.6689840682978471, -0.9741270123986323, -1.3493409307537383, -1.2334671212021642, -1.629285608586041, -1.531237435752514, -1.5221728297211912, -1.6378802270793211, -1.6230186472558055, -1.5739999595066712, -1.6572011445369144, -1.4502702252861392, -1.1337794563030401, -1.1455353042067464, -1.0244996166583946, -0.6445291152342844, -0.39844542889964807, -0.48626157515236956, -0.20771434805386618, 0.02274368359746895, 0.4495327423563065, 0.5652614269553119, 0.8255885999853467, 0.9864880876403248, 1.2845440940304889, 1.2475226235851342, 1.3561682177324121, 1.5089598443257606, 1.5587037962383787, 1.620922920250602, 1.5605579374796448, 1.8710220801948911, 1.4347240607386855, 1.2710112773479567, 1.3831437600173297, 1.1331293003169947, 1.074891878408181, 0.6281013852720578, 0.6669628753905327, 0.38397664554504807, 0.18539909408439315, -0.19985743484269763, -0.3862930489795775, -0.4091203169796881, -0.7762318420212557, -1.0122508385876197, -1.0382373045553346, -1.4158990578486756, -1.4188260300070166, -1.6281770865445429, -1.346420998387472, -1.6423885720454667, -1.54992331868297, -1.747963070167102, -1.4076681881564992, -1.5225150940324084, -1.3730055501943412, -0.8489909702968494, -0.9698376615795563, -0.7025721142339035, -0.817347181793406, -0.48425364537844506, -0.13369973916333117, 0.14154722563190048, 0.26631428095729065, 0.3182869151162604, 0.7252902374599498, 0.949854189669914, 1.0502825847070494, 1.3772529538611762, 1.6135957797884926, 1.4512836542207925, 1.6833859424752613, 1.643637569888184, 1.5799648291769703, 1.548496479371977, 1.4997811752810806, 1.51339324202583, 1.557634333461797, 1.2389541246970293, 1.0802053632082282, 0.6478259699986059, 0.5800143041196583, 0.408195947485559, 0.19311209169676452, 0.016088148257672207, -0.4028271550114135, -0.49063376333234593, -0.6565563358112105, -1.0830120105622436, -1.1326796414204172, -1.3708287416005727, -1.2946622653618467, -1.3256475871388806, -1.6598472609283659, -1.3507367394771794, -1.6990614968182085, -1.5599923829991278, -1.6132023654792589, -1.5030039634037609, -1.3875970521925456, -1.1982709953527848, -1.0710359754639711, -0.8964977672310088, -0.7572059270236529, -0.33927423171104465, -0.33651398463552895, 0.04720924554413173, 0.21913202394589634, 0.44086756338309185, 0.7202071068777278, 0.9854219944639684, 1.0795885524477207, 1.1697512233237148, 1.4858081449227702 ]
[ -0.002185202675939544, 0.22559580276498836, 0.38018514384261787, 0.7033202493204168, 0.9431880735340947, 1.089434984876922, 1.2476266891363246, 1.282629619622621, 1.1229500711900855, 1.1415617816190589, 1.0563660227722071, 0.8957277842309783, 0.8915652203980127, 0.5994107088551717, 0.30105520664847163, -0.02934855354955726, 0.09542773327613412, -0.3569740489969042, -0.5373027566391385, -0.7826896936983281, -0.9732398142604124, -0.9002162481930396, -1.1826322009308656, -1.2198724901545963, -1.0857014913966476, -1.1632003232456745, -1.0472898778251452, -1.1509954202314938, -0.8584067419030905, -0.730694411161324, -0.29727640067000144, -0.1823644856481541, -0.008392667254451286, 0.2986697016327117, 0.678608900471297, 0.8088429219855567, 0.9386105898740678, 1.057890917955741, 1.1460585827715772, 1.1873621234932314, 1.1001325000736395, 0.9637420538918293, 0.9341581800224072, 0.7153918195098792, 0.7250753612327272, 0.5191657542999106, 0.3216276963701308, 0.11985542507556132, -0.14104594639418885, -0.5432160121362504, -0.6740654091294545, -0.8550389486259103, -1.0561961142482086, -1.1797182203756704, -1.2464951636634474, -1.2239432947369528, -1.0495373928560539, -1.0729633601420208, -0.9338729466359144, -0.7922114128853112, -0.6459813777793983, -0.6998549467768131, 0.018583962445872265, 0.031479792429281964, 0.35231480099077644, 0.427003600279927, 0.7452205299748336, 0.832204865702655, 1.1980287885539997, 1.0089095841478513, 1.120385430240641, 1.1682669765992453, 1.1681342318245116, 1.1550036027354047, 1.0471194273296454, 0.6425122373551252, 0.5252704453414913, 0.42248275328319396, 0.11850711240634165, -0.12184688901508134, -0.49677824742550625, -0.8271384569830404, -0.9080188446222596, -0.8925104865207757, -1.0272441738942906, -1.2146010803926295, -1.2026633291188449, -1.2963886054361033, -1.0532819546515304, -1.1816198983345603, -0.8843119259670428, -0.8454494019646788, -0.7241946248477217, -0.16514492020563987, -0.18663112167113022, 0.16566901039659868, 0.4467198360618649, 0.7458610014567167, 0.7034705283414018, 1.0175262584424354, 1.0296531118337486, 1.1118888591861291, 1.1367976524642724, 1.123334588726424, 1.1798718965718642, 1.165214626283174, 1.040389933550601, 0.9229151963201696, 0.3941384816038415, 0.5295372565168442, 0.014611420844644746, -0.1850120736937652, -0.35655204482081004, -0.6933351697151031, -0.8395659872466116, -0.9786956986204317, -1.1783995922485289, -1.1795551963213027, -1.283865297837133, -1.1833277008337961, -0.9498872166853772, -0.8336856634202087, -1.0176260490612195, -0.5869883658835862, -0.39450148617584446, -0.2470652387407355, 0.004602061455845283, 0.27668544731677774, 0.5872739116806316, 0.6773700761961174, 0.9710921212417254, 1.118478033826308, 1.1727380375094112, 1.1848326161037663, 1.1920018519451656, 1.1605083628048278, 1.1926183594812856, 0.9290697074401241, 0.7794412982249007, 0.5001140380751771, 0.23725429311295576, 0.04188205608995873, 0.006247229530001924, -0.3586872507806628, -0.6525207729724093, -0.7386454190159427, -1.0849755920007857, -1.212256356099566, -1.1678933524547426, -1.0725726252909566, -1.07434082075267, -1.184835201889432, -1.0651236371236492, -0.8172538963301056, -0.7066587221450156, -0.46829202388840513, -0.29070791603077945, -0.09117299951042357, 0.3334293057492722, 0.4547004906984592, 0.560225136376597, 0.9041654036999355, 0.9072908868102478, 1.0940909576563822, 1.2684375633809464, 1.127194487138147, 1.1116554639977514, 1.3102833193288381, 0.952912745650451, 0.7601719194694031, 0.729639108801996, 0.4123651428146703, 0.45252127142403964, -0.08424680089065181, -0.2805342820512061, -0.4323582745917707, -0.79267150772824, -0.8711847479423398, -1.0087838696882812, -1.2399989604249644, -1.2179876154148443, -1.240040669819477, -1.1920466664468976, -1.1245962248516164, -1.0102528293809563, -0.6344248288870893, -0.4763123949578194, -0.30035487647065257, -0.06654199920734095, 0.07186948076297284, 0.31411139475611216, 0.6684449978289565, 0.7127649513129658, 1.0342831938129018, 1.1349569290558326, 0.9793978836877415, 1.1973584357540115, 0.9724350612251939, 1.1108489298460977, 0.9077965356906654, 0.776142483441557, 0.8628374628166494, 0.4343787748050513, 0.18445254157505847, -0.01902915082994469, -0.22006223717880266, -0.333686552912159, -0.7663331326613693, -0.7394737581061018, -1.1505205822622262, -1.1280802538101367, -1.1893024783096353, -1.1976938731889237, -1.3071574153316612, -1.1348247822575348, -1.1803692065152414, -0.8707494953788649, -0.5454437207075327, -0.5146235991279735, -0.29770269452117953, 0.013062305470047218, 0.171291318706853, 0.5942462806607034, 0.5268564332436914, 0.985747595702964, 0.8771081795078177, 1.0946393885415073, 1.0949687017030572, 1.140974912519436, 1.1743632216911895, 1.2129267930475234, 1.149706728278113, 0.8607331307776209, 0.5870868764149928, 0.4268627229694413, 0.27927980546253406, 0.046115146199785906, -0.24457765825821914, -0.5181474025714726, -0.9259078405646064, -0.7883368315959204, -1.0324089051335605, -1.3883128223806371, -1.2949398868327158, -1.1190612702608207, -1.1887147552376107, -1.0896292041267412, -0.8209010386883457, -0.8917361958033303, -0.5978865579770476, -0.5533339144309284, -0.09929621291059094, 0.008755306660045287, 0.3326831972007808, 0.4808175463867195, 0.9914793558226211, 0.9392412788600227, 1.1681313042457457, 1.210451032385178, 1.3382989698483694, 1.1619070630104293, 1.0798569262212012, 1.0756084375565202, 0.9082551657060768, 0.6805668055581056, 0.5148709733764949, 0.2587036771715869, 0.024508578863184055, -0.1025240010423263, -0.4152343245583724, -0.7554891740627263, -0.7863478639618285, -1.1513909640729996, -1.121756900963842, -1.0189671278610946, -1.0489460541802176, -1.2858168692130882, -1.1560675801974654, -1.0940154455583802, -0.7343952076536937, -0.6693166472344441, -0.36960392047448953, -0.20426040135448734, 0.0118513073848469, 0.05216432655824865, 0.516493790406624, 0.7469524721485346, 0.8084931675966929, 1.0194750714079488, 1.1299793391848927, 1.1853843016296712, 1.1958718495480811, 1.0883399022430573, 1.006947497563501, 0.9947238935319572, 0.7361437318893338, 0.6199987598006297, 0.33909576133453173, -0.007910836293681972, -0.08671670112880107, -0.27154332431548306, -0.4811878242559181, -0.8043059998919457, -0.910904800775491, -1.1233530195612589, -1.011845109117299, -1.2216278965211522, -1.3463182061735706, -1.0751550617079457, -1.0894304046776173, -0.7200132788934795, -0.7211084325662899, -0.5579677183229886, -0.36419354520364544, -0.1832868270783985, 0.26717515651662604, 0.2397398162390167, 0.6781943228678827, 0.7337196267793811, 0.904222289666427, 1.1719209299649875, 1.092387823296883, 1.1787113767443134, 1.2503779079213573, 1.2502149887787033, 0.9621255758981375, 0.8485289130643716, 0.5880464521545726, 0.34291234039772456, 0.2398845320642426, 0.07989234133571761, -0.30941090131055615, -0.34072933146812234, -0.7294126254204174, -0.9347825621503952, -0.8778126958777496, -1.0864151250334044, -1.0796546168773287, -1.0980579269490471, -1.0773879476624122, -1.1037593193043191, -0.8411452882423702, -0.693397046724282, -0.7449940376398525, -0.3264707173374086, -0.09979471549547352, -0.10263104131818869, 0.3202777904947428, 0.5314621890275018, 0.6460481187175612, 0.962463144454215, 1.0292927131611962, 1.1465903293258104, 1.2806165246531411, 1.1145310366220262, 1.214250243366423, 1.15367824754731, 1.0167542351878487, 0.7721360109660494, 0.5191757240448059, 0.4646173098728908, 0.1704157206319572, -0.17901429282362114, -0.3569885108214584, -0.46081443893243756, -0.7975424297820457, -1.064063875065648, -1.0506737130043688, -1.2181380387822163, -1.2955096915375368, -1.4007315985616144, -1.1225641869380727, -0.9890305551917021, -1.0113822360957578, -0.6679125229025561, -0.3843958936537859, -0.2422246630452272, -0.028977511105301994, 0.24773843557030323, 0.3149608242474695, 0.7776463074851926, 0.8295069983800752, 0.9856973401572261, 1.0432038373660646, 1.0784213220926417, 1.125139741496968, 1.101376287765523, 1.1766062975733527, 1.0772220365528304, 0.8125602919214981, 0.7251971453761432, 0.5486257451041313, 0.3503514711582194, -0.15298315256734943, -0.2342352742797809, -0.6078821496323972, -0.7644722758811308, -0.9353800000047456, -0.9547465102385368, -1.077686631401401, -1.0450337282661584, -1.2766301047047033, -1.277777163875743, -1.1448219806967188, -1.1075288863635682, -0.6774410082251834, -0.6507613962530453, -0.5266696292291063, -0.194462440724198, 0.10754092463005042, 0.4468482589795829, 0.4338630323720673, 0.7446262979727428, 0.8925336620603667, 0.9467659413147991, 1.22766124180346, 1.1333533755313294, 1.1360994644421254, 1.2085750944080331, 1.1193589028177373, 0.9927769620366556, 0.7932202800335528, 0.5711803673244638, 0.22658334678111874, -0.12636954093729122, -0.18305410704300107, -0.3900375218641683, -0.8597702292747942, -0.9254307907942748, -1.0038704685297595, -1.1543550572312422, -1.1652550499776761, -1.1299465669547932, -1.263042686620944, -1.0920224362109865, -1.0300554093961556, -0.9031753095967054, -0.5715270426296324, -0.4231054344967437, -0.2820479307885572, 0.05433954907356365, 0.31084334771134986, 0.4992476892960093, 0.821763337156236, 0.849602345485894, 0.9975831564063121, 0.9490089615830283, 1.1815009342144984, 1.0947337794727565, 1.01575114301528, 1.143313024713774, 0.9269615478272013, 0.7475873678968978, 0.46254557637588567, 0.25853959529940607, 0.35787934154169077, 0.18432172955212073, -0.3335166365612659, -0.5739286141303716, -0.6791518178945137, -0.911469415020624, -1.1100065378404924, -1.2028055524302825, -1.189574873816641, -1.1862272314740072, -1.1505930317669228, -1.1380051931703055, -1.002540167203955, -0.896898558513552, -0.2709473172826426, -0.21121432918416086, 0.005485772334654498, 0.14965928206480947, 0.31141058756794787, 0.5072078223470899, 0.9566224351350002, 0.9444682768961676, 1.1786659461991356, 1.1399891100319117, 1.221956083874306, 1.1914629495652242, 1.2059810340628907, 0.8941849140090992, 0.8876567020249408, 0.6920139681581556, 0.5728655046098332, 0.32977200795276684, 0.09204125355548154, -0.13251305442640932, -0.3772688459193595, -0.700715612445218, -0.7141339948940356, -0.8615030871987931, -1.1042885436441148, -1.1961582019325054, -1.1309464752274778, -1.2869646817722105, -1.1688143342842143, -1.0682010050145254, -0.9490604210005382, -0.6109077022014682, -0.32423939844458555, -0.2921472498050156, -0.021555360004049146, 0.2794233737786322, 0.5072706018033946, 0.7718351249936031, 0.8886228538302645, 0.9492069565648744, 1.38746761315957, 1.1536047013224564, 1.1671159866019416, 1.1864233679950391, 1.069243069402916, 0.983787483022338, 0.7719649560805302, 0.6036584316888772, 0.5362450578947483, 0.011709766874581806, -0.1509642173937621, -0.3199248405629875, -0.5563175988968467, -0.7970286950196489, -0.8696831533043291, -1.1358129829228258, -1.1262402417448631, -1.2277172463148678, -1.1790282714349514, -0.9950832048701477, -1.0513981346041583, -0.8899548363027664, -0.6652432766484407, -0.5886709394124953, -0.14259328242735786, 0.05204784084684713, 0.10821037181386604, 0.42750552986539486, 0.5028534339507447, 0.9838375832493704, 0.9761434253236265, 1.1373744705606006, 1.2724206466460626, 1.1945678744299955, 1.2605132013316154, 1.087126733549729, 1.0557629281491043, 0.8750238436392066, 0.6107554683998904, 0.4951677129085486, 0.3417502773466835, 0.032490622806041786, -0.623937649173606, -0.491241661495162, -0.7969328995118774, -0.7343857741254356, -0.8822661472922786, -1.0397370348859742, -1.1393617176541273, -1.2381005063135555, -1.2309414798998601, -1.112539524123144, -0.9741781565928985, -1.0882094138761684, -0.43332675191533143, -0.4010462767058587, -0.12651304911478317, 0.08023207746456834, 0.3607803732307101, 0.4485907468832544, 0.7648690378434683, 1.0262100263363396, 1.023209690657795, 1.1741085955825963, 1.2265710261874843, 1.1305338137668772, 1.3773839329449387, 0.9718025140346863, 1.0702846656180856, 0.8661535295515446, 0.49415654049575286, 0.24825087311426763, 0.054305917706985306, -0.1349855693415902, -0.3274253293537525, -0.6333987677982715, -0.9637156777488355, -1.004598137708351, -1.1620719622548172, -1.2999913507322698, -1.2290499894108318, -1.2731175935684618, -1.0937924575742488, -0.9926231564120727, -0.8155893089902393, -0.5797220983486384, -0.4902245261820311, -0.2600968168159701, -0.06825283122402037, 0.14569316451462622, 0.3501375082490497, 0.7181573584091454, 0.5995768772390825, 0.9184787947627149, 1.1799445414658103, 1.021418206558528, 1.2588256456000948, 1.0444929339572728, 1.0977252952758658, 0.942992764495052, 0.9362344862728467, 0.7444885431968045, 0.3949287260169636, 0.08170729982311886, -0.05970484487673641, -0.34070544164564887, -0.5367091658372102, -0.8046199206922486, -0.8344338491150411, -1.0831072915449402, -1.14177916625114, -1.3240291893463019, -1.103085077302203, -1.1100782313511588, -1.1722142316675523, -0.7650814127386825, -0.8238346071617727, -0.7162098462867318, -0.3916534427260796, -0.04476824232824697, 0.12368300183859712, 0.2967957333468676, 0.695908021387858, 0.8385844640228313, 1.0355550916406069, 0.9978465770347518, 1.1991884133967814, 1.2815983292198387, 1.0314167573165312, 1.0490244668339137, 0.9988385014044512, 0.9250265377054371, 0.7749577321967847, 0.6161176060563868, 0.1306658371857772, 0.20728240231471773, -0.1472051925796006, -0.4838651856575274, -0.553747966120814, -1.0394833153685121, -0.9862027545226014, -1.0454395936572558, -1.221981856576519, -1.1572757024987252, -1.1084064036112726, -1.2760079934798885, -1.0528481734995436, -0.74050147918091, -0.773233934844736, -0.5681415234826515, -0.12180222258543745, 0.06116658167685382, 0.3158797668944285, 0.6168100304782421, 0.6255148015610474, 0.8444922264773853, 0.9347330784581096, 1.0319720460428432, 1.3061398598959801, 1.1880948957269242, 1.2386400788793155, 1.158036486301149, 0.8939081670724497, 0.8300062147251791, 0.45362882620304734, 0.4227821538596466, 0.15353660080399184, -0.2378301163625935, -0.30837246906741556, -0.29192176907010214, -0.6516977078229872, -0.9627277246341674, -1.101856997270361, -1.1474841216454308, -1.137370234835049, -1.2842619861957765, -1.2035659863712502, -1.0901334876409587, -1.0897449684584335, -0.7281256841525903, -0.5309899134528095, -0.39827392789104843, -0.15909193370385227, 0.04304249130990845, 0.39903178952506385, 0.5074666129209607, 0.8397786433368493, 1.050927869539539, 1.1137910889202804, 1.129820681583283, 1.1753325310696636, 1.1166719094425888, 1.161426122963259, 0.9755372480225146, 1.024424076773624, 0.5754945118209043, 0.45705520833169766, 0.2120722248107262, 0.0568334295587961, -0.27844455573889665, -0.37421273111250875, -0.6291430021393597, -0.8021023079041758, -1.1647239386492476, -1.1783873261830784, -1.1007514743228972, -1.3138847993069578, -1.2715877783575567, -1.0492470282019706, -1.1053097606157587, -0.9975094216929219, -0.72234084544194, -0.2418375814936903, -0.3340409932293419, -0.10317298591105174, 0.4318265597458524, 0.5366422899611548, 0.74265927550293, 0.7182677732432374, 0.8789050786860135, 1.1521971670043731, 1.0555914158521886, 1.286211548363304, 1.0539394654778371, 1.1543659743504064, 0.91749444516328, 0.7338739832715934, 0.44516711575075685, 0.6002580711420085, 0.05539297963705789, -0.017478057380848733, -0.457252626271504, -0.4130939468037276, -0.6784004193386513, -0.9389528132539652, -1.132034489208211, -1.0794569931145794, -1.2700445589438079, -1.1612627334852281, -1.1071929574626418, -0.9510028654544218, -0.9136245978354007, -0.8799195188876878, -0.763563523366062, -0.4210228604267168, 0.05700533930145325, 0.2518406372892174, 0.4923024309000607, 0.49773318373910413, 0.8578662218814854, 0.8759032488758994, 1.0825872221781356, 1.0537608759750505, 1.235239055839749, 1.1108393197281385, 1.201855407257009, 1.0695671935059587, 0.8373614785289957, 0.516093323584757, 0.43524635759903285, 0.24644583547822946, -0.02778842535323859, -0.22469753990682062, -0.41116984441401605, -0.7581792829294293, -0.8112610102600828, -0.9310360768940137, -1.0786445051453133, -1.0690825824354648, -1.2840448216125464, -1.3278851335787896, -0.9950476403643791, -0.9708392924267905, -0.8147124312513928, -0.4824740006144048, -0.5350486220302229, -0.26426763913283835, 0.20573339019463516, 0.2503873669444451, 0.44204666142411214, 0.7654932588722453, 0.9870208086422043, 1.0130049587930245, 1.153596626934014, 1.2238889430422233, 1.252626802091747, 1.2040091649821278, 1.10182322206935, 0.8326727284457544, 0.7453597404719003, 0.4542277533611938, 0.4399733575440496, 0.06330108059807546, -0.1255539470060369, -0.3823664178980856, -0.6454505406460299, -0.8064126131004697, -1.0727927741918415, -1.1372066261126532, -1.180686681774696, -1.152887291346829, -1.2825883569166483, -0.9844663981435154, -1.1848691722689604, -0.7779359238720617, -0.8171165598950435, -0.6413891954364903, -0.33692364357256377, 0.025654592525364922, 0.025027011139581862, 0.3790957727593942, 0.6726968398030929, 0.7999083927310324, 0.9626179760977122, 1.1589859451412798, 1.2694039304199598, 1.1775468437488326, 1.2164954547108775, 1.172645344814882, 0.8756416934621829, 0.8308293907394855, 0.48469648102806595, 0.5788010894873683, 0.30094505821057294, -0.08498455171926511, -0.24370028294073182, -0.7654469013402863, -0.5404749142797153, -0.9566594563017877, -0.968575959844928, -1.249777363858032, -1.0341402696424715, -1.1936808429269539, -1.3924431719706347, -1.0463372126635357, -0.951844955474688, -0.8926462357515502, -0.5301001583094342, -0.40405561762836284, -0.06254026568534712, 0.03782648250248247, 0.30798977030169866, 0.55952877241596, 0.8002957475264232, 0.9117926093230277, 1.1433826756689336, 0.9873795631622607, 1.382628985816556, 1.2895963386759148, 1.2313914120130653, 1.063199871251022, 0.8385745253014837, 0.8198030269966219, 0.5911256026413446, 0.2641183821590376, 0.05448862530074111, -0.18891126484664267, -0.4945957610457484, -0.5641748967134227, -0.8478040776152278, -0.9356259279911489, -1.078110025476344, -1.3501529114601107, -1.091506599210813, -0.9792305988527574, -1.2023753767453085, -1.0210813782754482, -0.7182950658135459, -0.631091967336163, -0.6519961678989422, -0.26809475090531504, -0.0410865075747696, 0.15432784421495588, 0.44742335187881765, 0.7467852264344753, 0.7738449653929365, 1.1180113258973028, 1.2272928863839545, 1.1538931250849223, 1.1141722097639313, 1.305311720378731, 0.8999703384219164, 1.0791367881590068, 0.8867146404695118, 0.7372398054927436, 0.1478580188060416, 0.18056493275233426, -0.1571041918792513, -0.2910764016976261, -0.5023021236591727, -0.5444579992172887, -1.0267070505209015, -1.1192934781959, -1.2617064311555954, -1.1459470967103746, -1.0288212731690936, -1.1509310510292583, -1.1040922090105874, -0.7974842876810898, -0.6913730322821134, -0.804887742212772, -0.2556559768351925, -0.14321762042817127, 0.015944901679528986, 0.5144743754599223, 0.49632059734269, 0.6885185555683063, 0.8241134751577228, 0.9717129050795854, 1.0871065993793645, 1.2176524477430342, 1.11431680288633, 1.1109106648191633, 0.9804231782432739, 0.8971677717870289, 0.7963691294976674, 0.45133497769979175, 0.279545940490034, -0.010432161420124889, -0.09982295101068933, -0.5600045220882233, -0.44100903327150964, -0.9516957188878792, -0.8304239109042536, -1.1732518825892009, -1.2354134889058515, -1.3002826060424817, -1.2584090162033217, -1.2172207093993344, -0.9575090937505374, -0.954729682424992, -0.8720166497376508, -0.5464925896778948, -0.17856119880313118, 0.13640773920813992, 0.46789033109182765, 0.5488036800325237, 0.8594176736344713, 1.010103099521156, 0.8905037465007977, 1.220253397079079, 1.2028513755998111, 1.3914406043562308, 1.098844946671187, 1.1964466029334366, 1.1214006070833342, 0.8079457136915177, 0.7247778755812697, 0.2777953540265362, 0.16838309904020907, 0.05582161182850211, -0.2260125824020887, -0.5707447457994346, -0.9471180213741623, -1.0901415753968655, -1.2046682757606693, -1.166463903859212, -1.2352551185289984, -1.2506062543385834, -1.1648846086668583, -1.1254561706288655, -0.9248039495181269, -0.8927531896493406, -0.4800630508432347, -0.034192817817348065, 0.0018479476003731843, 0.414950287381752, 0.5593830598153956, 0.5300431937935838, 0.7445328513415774, 0.8885416330586233, 1.3133381597492428, 1.2815336829697546, 1.2196036440905507, 1.1425161330779734, 0.877856280219216, 1.033830602759789, 0.8928491117030194, 0.6262840619201242, 0.39818973571012717, 0.2916832172487564, -0.03853607534689523, -0.2846093611325922, -0.4622467220350931, -0.6294120770470009, -0.8248411878950239, -1.0132797832594884, -1.0515665748543839, -1.3052471393345635, -1.2007376666827736, -1.0006022420496794, -1.2958689702473005, -0.9556522078261539, -0.8618545750110651, -0.6360027441331919, -0.32415997215776615, -0.1844536698675334, 0.14384506572282937, 0.23647111226585948, 0.49004790705695694, 0.7179033720357153, 0.9804914154507806, 0.8585089770459533, 1.1258172487445817, 1.2500435404390087, 1.3489854788990394, 1.062343581475342, 0.9388316823554584, 0.9102183206841786, 0.769986553032024, 0.5676507114745506, 0.2848075245538329, -0.053088904820026594, -0.15936906833686346, -0.2979023660175928 ]
88
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Variance" ]
Noise level refers to the amplitude of the random fluctuations in the time series. Both time series have a white noise component added to it. You should check the amplitude of the noise for both time series.
Similarity Analysis
Shape
481
null
Based on the given time series, how many different regimes are there?
[ "1", "4", "3" ]
3
multiple_choice
null
null
40
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Regime Switching" ]
First identify the different patterns in the time series. It might be helpful to identify their individual starting and ending points. Then, count the number of different patterns.
Pattern Recognition
Regime Switching Detection
482
[ 0.016587345885575408, 0.1812556276882543, -0.021115435498866714, 0.02868066914171634, 0.16394573750944375, 0.23256819485884278, -0.1692728724959961, 0.047949386384431546, 0.011964836726861761, -0.09326864184056047, 0.08708357261936256, -0.1125803210758686, -0.013833282494398275, 0.10633027594510713, 0.0739991390195304, -0.09493112224214978, 0.10702867999541893, -0.044920125655250456, 0.029283595814675337, -0.08993666440268422, 0.09998868703917241, 0.13508748449684133, 0.12775085605484954, 0.39787782133695415, 0.275750685012478, 0.14127396944545528, 0.09713829132266058, 0.14501293777096433, 0.2319510583986345, 0.08440789807757149, 0.14074969819363972, 0.04772030212431197, 0.11644022614065873, 0.06461025732281458, 0.02839106432599503, 0.1255964111836022, 0.005205159802131876, 0.18266882251164004, 0.16898322974742033, 0.16792061069044495, -0.03338856104729673, 0.16660517637484798, 0.19369777176458028, 0.1368160265905674, 0.14989531309443316, 0.24810491070277058, 0.2598795248679844, 0.3343507941048337, 0.12230180786014601, 0.031727526166928255, 0.19204211285527986, 0.2905910801023101, 0.17966565131662934, 0.2742439515986318, 0.366455313161109, 0.17234500951685525, 0.20281503725258854, 0.3193771627386879, 0.24093907753813426, 0.042849611007772404, 0.3444736205083412, 0.3229181793811509, 0.15581282010754594, 0.2472767844487383, 0.39373225211803675, 0.33315291454902146, 0.5076155946789732, 0.14841185441896565, 0.08414612792374276, 0.051240773552826746, 0.3681657999240616, 0.2143599567376438, 0.3417473669159019, 0.13677407825624996, 0.2883122302989584, 0.4711201254882489, 0.400972113786108, 0.35118103049251176, 0.3333864413113014, 0.4102298455088471, 0.4063115835121398, 0.33138497782171916, 0.322220754507435, 0.4099875807109001, 0.35461828678569207, 0.3346591937613733, 0.3354582442975153, 0.5549884234217516, 0.23613268347584937, 0.3533484433772399, 0.332502747175351, 0.365694270896622, 0.2921860293454047, 0.4076123966249737, 0.3913441003164198, 0.4166100545853127, 0.2487512198661574, 0.18395776277176187, 0.3582006206130672, 0.491350030953648, 0.42291341963914864, 0.38125546628708246, 0.4157430322594157, 0.42908289419162426, 0.40092111691568333, 0.30720465985853773, 0.4169857363501055, 0.3926147279723819, 0.3207247128734348, 0.49862944785950014, 0.41483921554013276, 0.36208886774162924, 0.5200384413357441, 0.4883514573730918, 0.40493377267887787, 0.44515321154777376, 0.6669539046936654, 0.46740419730182425, 0.4104847016997444, 0.5043800284809156, 0.5674153497284993, 0.33502762139288045, 0.44147088688986613, 0.5074931553813992, 0.3792222230886541, 0.6284025135043431, 0.32986183209014797, 0.6603104200442776, 0.6437219163289885, 0.5868967590421159, 0.5968395288171704, 0.3298323714546192, 0.3506583488858074, 0.5881130000524836, 0.5579214340970079, 0.6008558956458528, 0.39943670819755106, 0.6287864055949384, 0.5665263891813915, 0.5617531939520218, 0.7116069968463881, 0.49928165804146235, 0.6529152388375836, 0.5671495024908901, 0.47968830803259044, 0.5372259908963605, 0.4554204633917798, 0.7038444268448807, 0.33368977426505125, 0.5862811339966322, 0.4932452750129506, 0.5612410090307132, 0.7148065037007763, 0.729875583327372, 0.6091882660976077, 0.7350359733330487, 0.4080482208816486, 0.6429282581124817, 0.5190851752557646, 0.6000931518010335, 0.5531011034117925, 0.5119509460356011, 0.6027736730507759, 0.6664923008377639, 0.6133151450540515, 0.5860849589337263, 0.4445803791784687, 0.7426047618521343, 0.5890583141517872, 0.8039959590024575, 0.7459628366351506, 0.6851541613195705, 0.6842220787125154, 0.6739285422838823, 0.6655849331653547, 0.6646647005982241, 0.6218291118393493, 0.6523788614429842, 0.6608206138213634, 0.8642622711539565, 0.8704646770145623, 0.7524075732586628, 0.6200262217964094, 0.9295785234821052, 0.8694659680697827, 0.8626380956779589, 0.7849966205843086, 0.7624936067549128, 0.6676626026522653, 0.6774237626012707, 0.7451390396699477, 0.7341190975226929, 0.7615827760184578, 0.8919910141894891, 0.7238329221693384, 0.8322910387888984, 0.8416797252511152, 0.9625004098990361, 0.7226451692357325, 0.9605990531367548, 0.7270133047618912, 0.839050323993767, 0.8097296714100113, 0.8232959177338228, 0.9156558285684828, 0.7169595508052311, 0.6883885838049985, 0.6525825684642761, 0.6783078786055591, 0.9265915042389755, 0.7160419591970872, 0.8096858833717647, 0.8901174451621168, 0.7658290185903938, 0.8885353426933453, 0.8521054736317913, 0.8615888021631353, 0.7248455490076564, 0.9178937044701783, 0.7524940942866911, 0.9394442901978259, 0.9705840691748474, 0.7980415367683914, 0.9105538688712389, 0.8231793402259957, 1.0381656467266787, 0.7920965873870048, 0.9842793513124766, 0.8782531207168325, 0.896327056468954, 0.8749300202479725, 1.0458189445173751, 0.7399820701510548, 0.971433901696903, 0.9791058367313064, 0.8757689355251475, 1.114075361051092, 0.8856556820458203, 0.9698491497292789, 1.093950434885774, 0.8701557442455365, 1.060677745835717, 0.9351041559972303, 1.0519615748319686, 0.8689500474474012, 0.9329377081579152, 1.197902931670274, 0.9433809572386295, 0.8605358995206538, 1.1735251034075391, 0.8462762102290814, 0.9897192725664581, 1.0465063617887242, 0.9543522283438836, 0.9806074975653212, 1.104571706945901, 1.1472662944908907, 1.133975951686376, 0.8417341406860439, 1.033800413327667, 0.9357199800014084, 0.9401392817704385, 0.9369834813577449, 0.9729846581232906, 1.0367675961072071, 1.105409294107364, 1.0120269504695893, 1.0047183783663651, 1.0266154109415282, 1.0602836598251395, 1.0616301719691106, 1.0003747450740024, 1.054792040940834, 1.1867586934639283, 1.157391584935394, 1.0811304541808189, 1.2122878285877223, 1.0300234272724336, 1.2357236707168833, 1.1224358619347208, 1.1788367089880483, 1.0121876750373928, 1.032595169481211, 1.0689629145003123, 1.1371343479881881, 0.9815957760862726, 1.2092055389066128, 1.009156582303065, 1.3500847223298083, 1.2328445419370715, 1.0373952685040921, 1.1301038022203702, 0.9945517695242696, 1.1162799066505709, 1.2459451328619362, 1.1405352620265559, 1.1863192014025494, 1.194128367043448, 1.1526319707861563, 1.1410877072763252, 1.3067328520110242, 0.9741084013646857, 1.2348218161861404, 1.169376429191841, 1.092949946060041, 1.5087346853867285, 1.3016052421877957, 1.340435439937128, 1.3429218055408902, 1.3528968694722439, 1.3774023251841037, 1.1461898110926045, 1.2372724245119235, 1.0668321912848635, 1.2756751095103211, 1.3699973505605858, 1.1328169233782426, 1.3219513884097207, 1.3008938117294442, 1.4188313893451867, 1.3107900813862903, 1.1726135970130813, 1.3343476989473053, 1.1937360962537167, 1.1315556324192266, 1.1763843059037813, 1.3724276709263663, 1.3152924650638778, 1.3189066336016675, 1.3936682736652006, 1.4600620073887667, 1.3429872145272315, 1.1606554044203954, 1.360121237557595, 1.282617441938727, 1.526139850500702, 1.3871156113420444, 1.479782290376897, 1.494996337492883, 1.3286813400083497, 1.2706380347418231, 2.271824934469388, 2.5588268549014046, 2.422977437021181, 2.2522357560007205, 2.3490249090549953, 2.427943847106432, 2.221439719976515, 2.3587786956365036, 2.551539161195832, 2.375471267269372, 2.5301304248927385, 2.4066585116912367, 2.6102149572897857, 2.4006844734667725, 2.2567893023240453, 2.469844670792978, 2.355153973713742, 2.630772025718413, 2.4822718856403125, 2.3592674892920704, 2.42123769339857, 2.6603256945564113, 2.5656440000763343, 2.4162225648101137, 2.4131316523133806, 2.387095072571572, 2.4722240765340637, 2.3507976294505424, 2.595788885620772, 2.6053814023165756, 2.561225607509551, 2.4531897752542857, 2.3362942065550127, 2.530678113224525, 2.6961306407837777, 2.7018331528865787, 2.5523349469770404, 2.564455084590596, 2.4545969072451794, 2.5755209977037428, 2.459289722614092, 2.4557675868590936, 2.4659825674764946, 2.3565388215413194, 2.5830159750771498, 2.4291675068794345, 2.5353853181878248, 2.62499668368045, 2.481137092020271, 2.608096020808203, 2.7043966213103685, 2.558050461340967, 2.61357452986757, 2.7222127206766, 2.667641776839509, 2.663542407415532, 2.73771845849796, 2.759276232644035, 2.3738303878614118, 2.4310854955465953, 2.7617152057061833, 2.754317959394674, 2.5179947797441464, 2.548248232590965, 2.5307960012159088, 2.5332050370243224, 2.6930992826061355, 2.58677049525561, 2.8160100424367824, 2.6683596132449714, 2.8760966381417976, 2.640915495721027, 2.785744494342161, 2.78393893445017, 2.714314921554164, 2.8038317211045842, 2.7480701107172805, 2.9817772882441957, 2.7424143483439956, 2.502907164780332, 2.7070606304366085, 2.839507084145988, 2.7770777780092226, 2.8955706948385393, 2.810964172467319, 2.945084035833224, 2.730285670814915, 2.814198770878184, 2.8093143587563243, 2.812914029820338, 3.162637698630697, 2.933531209937899, 2.6955892718233585, 2.872974606503108, 2.8521256226249307, 2.67885052057499, 2.7774473537972266, 2.912069447713105, 2.9105890756585833, 2.837672345143069, 2.764891426444497, 2.9088289250196935, 2.830052989995491, 2.899073494449758, 2.9647488212654003, 3.022290893295964, 2.86807730232668, 2.7807205356407776, 2.952389842005912, 2.935923413193909, 3.0405473650950148, 2.8177377977411076, 2.998246911347838, 2.98007352908339, 2.843241451505125, 2.825695977704954, 2.9324761333504776, 2.9933726453413714, 2.9382122037796226, 3.054128603087906, 3.064465744285591, 2.9032641576104723, 2.82018393846386, 3.053738182300005, 2.9214110439170295, 3.188764530610304, 3.023367524443284, 3.038040870594654, 3.1200155560850305, 3.156551107527396, 3.1378334911214996, 3.2264337322281222, 3.1148557166011455, 3.1517772403413384, 3.023305479348122, 2.9781161264649345, 3.083550176024115, 3.270997227217176, 3.138446367610002, 2.968306516320113, 3.208352714566972, 3.1666449954287894, 3.035805889839246, 3.0897301222154643, 3.2646013891727828, 3.376173235532329, 3.114126872529618, 3.408502204911204, 3.2296186067425148, 2.9889799449500583, 3.1888231951415134, 3.1946616993820447, 3.005159351485843, 3.2070891251324256, 3.133825188680567, 3.3499025340502935, 3.225420030116601, 3.226240329554398, 3.273584092827938, 3.479082881319729, 3.3387539935004256, 3.288407309586969, 3.2014804439989066, 3.318291492606971, 3.2907348610092426, 3.5318910991616415, 3.6221657258455298, 3.4680690788356174, 3.417486857320366, 3.452080042227898, 3.356095056592723, 3.5529929214509552, 3.25596362129136, 3.2529056207701275, 3.2519222713813987, 3.520404304018578, 3.4202102616698395, 3.226077687592147, 3.388398435100622, 3.4769876055681386, 3.444653322469011, 3.646377963978402, 3.391113157973565, 3.3103518622850063, 3.553946803768634, 3.557259620465994, 3.5960635085078696, 3.4974659502397585, 3.623002622276186, 3.3879454875284276, 3.6689522572590665, 3.68007426959662, 3.395976814621055, 3.479391375675364, 3.7058770751708185, 3.5180738392620112, 3.576106858242757, 3.568063685259949, 3.577297785392295, 3.6395750953982065, 3.647191313313428, 3.6717274778649602, 3.716282889369726, 3.6357805596516397, 3.709181857863675, 3.5969561234913767, 3.785588802220885, 3.9017865296374823, 3.707635431803244, 3.7982854821492302, 3.59332094713951, 3.630198158875054, 3.6966872086556997, 3.73405686376903, 3.9088487375385346, 3.870583051216353, 3.8144018399469504, 3.662806455569253, 3.857751093846214, 3.820231891746094, 3.793181654867857, 3.8427947968643643, 3.8946059723152975, 3.818824581187384, 3.848653276480264, 3.9880826543447827, 4.026529225317068, 3.981642957899285, 4.064597828696964, 3.9866701690619646, 4.041230963032651, 3.990018836272584, 3.9379298145460164, 3.9056663137694696, 4.037810318614507, 3.9851373453924257, 4.0954564778517435, 3.753226883314455, 4.0990733917378845, 4.059292905748879, 4.114914727473171, 4.004615651469356, 4.028703610644406, 4.171989526467244, 4.195140901321066, 4.128434458027724, 4.085281282991208, 4.3014852575405245, 4.17956127692729, 4.328650324275686, 4.093196012987752, 4.324790928899702, 4.117680100278545, 4.192263905382281, 4.383365848771871, 4.2149611475642805, 4.27749771111839, 4.1680442335661905, 4.391478411220982, 4.508396708415337, 4.338004449186882, 4.419848653847455, 4.280125705989211, 4.292907442002255, 4.264390356713721, 4.207312958739759, 4.450614972263713, 4.39257049592629, 4.480145047351053, 4.425376160931065, 4.539164903403247, 4.668051673608427, 4.412884286440831, 4.416683054428465, 4.514503347923164, 4.409447892800701, 4.633212182615364, 4.551261228985468, 4.618413974375735, 4.486195577259714, 4.613013876379737, 4.606188921530176, 4.416760057674568, 4.679097399497012, 4.566308966998799, 4.619548879707818, 4.688428846153996, 4.727973017036847, 4.690341825325535, 4.900773234085314, 4.443797098966593, 4.5922288327270895, 4.702716590339655, 4.955619218055292, 4.628543162541866, 4.841546433540621, 4.73069965124983, 4.714244898430496, 4.962892209095433, 4.834461870025349, 4.805184111361625, 4.8211770226888655, 4.832228390161089, 4.87644455558207, 4.855377529543894, 5.05277524028505, 5.046426956929402, 4.917887428593613, 4.819432126550463, 5.076128363725064, 4.808022626115701, 4.890736639288279, 5.068522317724893, 5.055630573498697, 5.068815987991806, 5.035060095425338, 5.287262804127807, 5.0730827344797325, 5.144400239875106, 5.194685256303431, 5.117535976344551, 5.351767829841373, 5.052326722052877, 5.125475673529964, 5.095618978952308, 5.141622619364086, 5.017308841041322, 5.2764628297344025, 5.201503396708363, 5.247811713686737, 5.465738537422446, 5.416568027050076, 5.449377898238468, 5.449798717148243, 5.287955883485888, 5.323207344910686, 5.379190680549164, 5.496160876659914, 5.411194738162516, 5.591317242907528, 5.534898142717517, 5.434394845825117, 5.305180127675186, 5.568020786401294, 5.431797295978744, 5.525469970074888, 5.5284218778861405, 5.69119111262029, 5.382425789066432, 5.5070539562542695, 5.541784593125799, 5.3466719399861935, 5.31692849119713, 5.642174763989063, 5.367089955224412, 5.4324514804801565, 5.415539590021171, 5.3238036169169565, 5.439292202104815, 5.425515612156919, 5.474443253010286, 5.309186487008814, 5.2353114349337115, 5.586128941846514, 5.582827680327481, 5.463594828635717, 5.2273957744723525, 5.429777705671969, 5.449858547423018, 5.537786855067909, 5.325727007391969, 5.421781297016221, 5.395102761955053, 5.307766455705418, 5.576048574338017, 5.346378878079901, 5.356811972341789, 5.3180907064035585, 5.195954300983608, 5.21280925226815, 5.453499335310215, 5.3097524555002895, 5.100575774955808, 5.346285340566246, 5.32197622749705, 5.496503354288609, 5.169570396960717, 5.263418428703439, 5.179518677875619, 5.276476961770747, 5.222890286340616, 5.2913378867053105, 5.578368880307354, 5.276215310416529, 5.429883733209541, 5.452128305485687, 5.471106564825337, 5.479685879109093, 5.267898151679415, 5.2651007343446, 5.361031187442063, 5.207908295542842, 5.240911508102217, 5.185877198089283, 5.043926760712208, 5.158601587056792, 5.288322967915437, 5.385355766538286, 5.15481412049723, 5.170416778699016, 5.2103199673667815, 5.3153066470005434, 5.0737999937907174, 5.28837002490367, 5.26833075230845, 5.108405966772209, 5.253365605136481, 5.0843474392528005, 5.316375019406301, 5.101445049581434, 5.230493896237518, 5.148745403361259, 5.0184136707684495, 5.119474257752365, 5.285350507327538, 5.260136342059654, 5.244148129375487, 5.0962452704447685, 5.040013819131137, 5.198645957719641, 5.173809958134775, 5.288775099643219, 5.208811947387849, 5.187907063219505, 5.014285291954974, 5.320379535867706, 5.34598589964474, 5.0889857981707864, 5.158263443313301, 5.177115502259244, 5.1901815234329005, 5.2079501481634605, 5.445239035006454, 5.034621818332111, 5.063256045972327, 4.999552263695236, 5.045398712363629, 5.105358358497066, 4.9509011539003, 5.152418856042008, 5.079004034165252, 5.025320508573113, 5.145714747383755, 5.007632336460241, 5.20362070709896, 5.21024632881187, 5.081698539413268, 5.079490576204203, 4.9717832782363285, 4.983462098905413, 5.070737072234094, 5.17025507170613, 5.046417007802165, 5.130205607763583, 5.068537327293125, 4.841324959917786, 4.963948488308038, 5.158693530694749, 4.92031747121936, 5.035022561393281, 4.975676246196218, 4.88203165449224, 4.7963851546210785, 5.027577754937349, 5.048442465328657, 4.725849684211958, 4.962957867056191, 5.036260971409726, 4.975499483546875, 5.069189498816733, 4.938978073808839, 5.011073270228931, 5.062085070916476, 4.859996690849804, 4.763835509409936, 5.137174405855168, 5.112330367822155, 4.78042290869819, 4.884254906262614, 4.739194101092484, 4.801026279677567, 4.8441681377925, 4.846001441433636, 4.916090328548213, 4.717183731178067, 4.878791954561379, 4.8279429672523015, 4.872429728487623, 4.828914564433013, 4.976837923287441, 4.970260866044224, 4.808421806180353, 4.915862036799918, 4.920567829113005, 4.969295890531794, 4.9291960882081005, 5.020157420964279, 4.75390343485277, 4.906214970472489, 4.72409156711063, 4.796765120839968, 4.89232905949603, 5.01003049679079, 4.927553838514218, 4.847547235284775, 4.695858492760605, 4.803341471818356, 4.9022751706338425, 4.834104782538237, 4.887461516329626, 4.777843335981932, 4.670050902083465, 4.840459792741154, 4.796455121794747, 4.847592688443554, 4.855574218656983, 4.716259066567039, 4.873401087109629, 4.843574276621782, 4.790451719374075, 4.691035301401891, 4.787295357852449, 4.77447541640176, 4.883342187608893, 4.7779613418867015, 4.800046688201308, 4.822050276380472, 4.873844849087647, 4.774728395408832, 4.915175995891054, 4.8665972328798635, 4.699761957662222, 4.832112503333554, 4.797483443078389, 4.817742752264704, 4.760791851130167, 4.699765014189147, 4.7726947520386895, 4.534982373073999, 4.4631603230924135, 4.823830736841484, 4.889900686976191, 4.5600654896795065, 4.786179337884262, 4.735307209695248, 4.650367932445392, 4.608978178561281, 4.82476075499595, 4.712770117920198, 4.823159027724243, 4.599909793098893, 4.593218178815873, 4.59597402942031, 4.7221867108846425, 4.892164320162773, 4.680141460581852, 4.90516733945559, 4.544052429339586, 4.690106787968741, 4.717061315036926, 4.590246627571723, 4.663528166613337, 4.6058126413300915, 4.47043785972389, 4.51984287345557, 4.712051548382935, 4.57178596306635, 4.647675763242357, 4.2702010364906, 4.664425098760217, 4.536390006545751, 4.612656246510125, 4.578100020144208, 4.658268564145749, 4.566751035701447, 4.618981474141004, 4.430703458268538, 4.608320549035376, 4.729036503021751, 4.562459526188786, 4.54325976984878, 4.557378919441095, 4.640235250214724, 4.508399950383244, 4.689390987829245, 4.587506893183105, 4.770836037234231, 4.178749433072613, 4.531521563671265, 4.517111748521207, 4.568362145160819, 4.576801519640461, 4.610711197219284, 4.656880868611367, 4.531479371405831, 4.54877533014103, 4.487391369725952, 4.611860897229932, 4.5313254026403795, 4.497534628869555, 4.4803520629016935, 4.6539195607542565, 4.604533948287584, 4.552783507345862, 4.449485416344869, 4.497800423696087, 4.524744952808278, 4.631708036764907, 4.50013500605551, 4.454116164439288, 4.577263006987796, 4.463748556667187, 4.480827419547568, 4.501625471793315, 4.350425211276154, 4.428498596541579, 4.559352356767423, 4.495285464891797, 4.415130905071497, 4.523678908341696, 4.461671119328736, 4.317933533115529, 4.339430107814843, 4.535893939621135, 4.444677604260719, 4.141020945457738, 4.416637365180147, 4.328298746707617, 4.352122671731297, 4.501487856481846, 4.326775611423878, 4.2719068525861426, 4.499858826194876, 4.454524469413857, 4.2609740781727155, 4.466305574519336, 4.395000078036832, 4.1827253744552495, 4.2692410154410325, 4.129863744308998, 4.287007368808635, 4.3351473917675305, 4.4047829667577245, 4.490242108139678, 4.51177780820012, 4.363479635849682, 4.411514600761769, 4.37194686423709, 4.259252960228399, 4.426018203064576, 4.385536960012353, 4.26065386379011, 4.3375258605500875, 4.22266009706664, 4.262528023604435, 4.325176031147648, 4.304659685016759, 4.186241448450726, 4.420014836312583, 4.244306421079839, 4.265363717401849, 4.267170264371696, 4.293469642598288, 4.202919696126274, 4.347623307938926, 4.242726671520818, 4.41774607115072, 4.158032355552514, 4.052266183256379, 4.1561337595802925, 4.232783185352353, 4.092243751475465, 4.282121096202652 ]
The given time series has multiple trends followed by each other, what is the correct ordering of the trend components?
[ "Linear -> Exponential -> Log", "Linear -> Exponential", "Exponential -> Linear -> Log", "Log" ]
Linear -> Exponential
multiple_choice
null
null
9
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
Identify the different components first, and then check the assignment of each component.
Pattern Recognition
Trend Recognition
483
[ 0.05151357597859946, -0.06276770761263596, 0.2344394713610139, 0.12617135115377742, -0.036771423022633594, 0.06050390471300093, 0.06794489020343926, 0.06962895929958932, 0.10458621563951451, 0.06873299209886839, 0.13578799097120886, 0.1714714743620851, 0.13182796900111765, 0.037451113285721316, 0.2242544074219865, 0.10953966854900128, 0.1427163703002728, 0.08831882455961665, 0.26711791164145693, 0.08732970214720552, 0.14188681315606513, 0.4117743422223662, -0.011900813291803924, 0.09010380163106987, 0.29194593476903885, 0.20265651875042687, 0.2563974020221544, 0.07448492345988184, 0.19493604460111352, 0.20951103524282932, 0.2304972530718763, 0.2453389807331933, 0.03242487244683373, 0.23819686057055645, 0.4092141787819953, 0.2398488314859841, 0.18258970133554087, 0.22303678049597286, 0.4093931131956102, 0.04548772328841366, 0.36922395293115606, 0.3506479784893134, 0.24024560305091242, 0.6301863967688293, 0.4309183152455561, 0.3621359684512895, 0.4684938239058767, 0.41949390475558024, 0.40505514732253967, 0.39413200378938046, 0.32926099113518376, 0.49430013844209053, 0.38640350641291327, 0.5208506533772305, 0.526167909457907, 0.5163242334434507, 0.38594075556940555, 0.3503434623300641, 0.4392279402643948, 0.45095071182328506, 0.41972369049870367, 0.5680678282381325, 0.5654011681943774, 0.5573620542711392, 0.6324044425727839, 0.5201483759386386, 0.39660738876568447, 0.6513513862436656, 0.56756032523137, 0.6391472502026508, 0.5809519054158965, 0.48432895618783234, 0.4312844843420828, 0.6543867139519218, 0.5261846258493402, 0.67823394059271, 0.380990022185562, 0.6550059897154504, 0.654133183322225, 0.7650103705513532, 0.5711711776484325, 0.6160580919627985, 0.785571117360707, 0.7734446863675637, 0.5880976868665461, 0.5476903665489001, 0.6700563093772256, 0.7672541463131545, 0.7422124689026282, 0.6691454230068743, 0.907391722813667, 0.6665025297143357, 0.7455567656133043, 0.5957660144885326, 0.6525461830744056, 0.7291418062525667, 0.7884746808723094, 0.525708768549023, 0.6713233540010097, 0.539393810719653, 0.5997203243164761, 0.9264862864878414, 0.7136762149902885, 1.0123284478878967, 0.669106493189842, 0.8844797451272797, 0.8350700666014279, 0.8224949995877295, 0.686123377985674, 0.7939377755163847, 0.8408119301897616, 0.8152219370019683, 0.8999140533327218, 0.8156870465767768, 0.8236401893608264, 0.8780339716937077, 0.9808086856461629, 1.0988316762181312, 0.8302584926123275, 0.6851695402647705, 0.9991692145621047, 1.055682529929972, 0.8089976284987079, 1.0693060930782143, 1.0093613992113206, 0.8370182260932084, 0.696984013782169, 0.9017293852513035, 1.0870035209481073, 0.9316389794634057, 1.0016674732280244, 0.831611737185835, 1.092131441552628, 0.9808740887965001, 1.120457168346673, 0.9175530610327475, 0.8652700816223677, 1.1357098063844298, 1.1311794086220974, 0.9989216353382724, 1.312626475826256, 1.0996262985338783, 1.0741991073104409, 1.1377828184297418, 1.1490732196257967, 1.219303262768602, 1.0548565321868832, 1.1350938968883402, 1.1177063225864972, 1.1566434692686012, 1.3093407387110407, 1.1355970713641763, 1.1431455270824156, 1.169100047382552, 1.1639317390289257, 1.1657220602204685, 1.2293087778646685, 1.2068553047288104, 1.2286193782231112, 1.2759286853608567, 1.3094041958994855, 1.3293688189753026, 1.3337039527453698, 1.3025208243291744, 1.1370739246068242, 1.1937850708841762, 1.2259232873382855, 1.2611554112974992, 1.2137596519377183, 1.2094120734084464, 1.1607444509689904, 1.2709444346805596, 1.3233365334370786, 1.2940459779876217, 1.2974307315863562, 1.3585982964973073, 1.4006093967442506, 1.3739663418432813, 1.3953951077850875, 1.439691847750525, 1.3237739518789666, 1.4926068466770197, 1.338381941729858, 1.3625448969117906, 1.179291924767906, 1.359094184378488, 1.287953046853734, 1.544995762070414, 1.5213847394138906, 1.3823130922195226, 1.4058992873483762, 1.31139251452174, 1.3821069562746087, 1.5258066182670227, 1.603933603927665, 1.4774942928062689, 1.5036304875633413, 1.5141588217397077, 1.458601591892109, 1.5452594644791608, 1.4970721947253511, 1.5966280648604914, 1.5360606643380044, 1.4020687403650767, 1.60635036483912, 1.577558920859689, 1.5258108321757766, 1.57597155275535, 1.493454316626068, 1.4885636645118385, 1.5639664381385139, 1.6409912715771233, 1.6592993683814383, 1.5113526194780849, 1.6327721938106754, 1.5317165648690065, 1.6564583949707077, 1.6375276559248015, 1.6801034049887893, 1.5998915657890205, 1.806565283949717, 1.8804882713491566, 1.6697957266509413, 1.6292165434395705, 1.5993511033541081, 1.588781160616791, 1.8255346491380882, 1.6821009433449676, 1.6053623258304601, 1.6315371675165153, 1.6304944564495605, 1.8907503911763592, 1.9135457673700305, 1.7559384265871738, 1.7506606715599369, 1.582893834293998, 1.6576489374239167, 1.71836865910639, 1.8754521904473809, 2.062391508924675, 1.9060140177412632, 1.8230689877750912, 1.8620110158931937, 1.865656115972283, 1.8285775371001114, 1.8533285993603899, 1.7043791978587812, 1.810720379187606, 1.8514233632605044, 1.7885957746129553, 1.927914806984263, 1.9688089601128296, 2.052498843421245, 1.888405897010148, 1.7485839576407198, 2.1056285202941556, 1.8549156032795244, 2.1662203447289237, 2.12202084499447, 1.9423518839843488, 1.9533613158819523, 1.8685919197405345, 1.7687193905717375, 2.0594371288268243, 1.9979331216493526, 2.13474273711266, 2.157001768387811, 1.8581603612548405, 2.0505334645196975, 2.2662369651207825, 1.9592811479214043, 2.1834406002820343, 2.1107650906863853, 2.112519595854475, 2.083926339891125, 1.971503153178707, 1.9442649728403563, 2.0488090721056524, 2.007884131205128, 2.179553879779421, 2.3455919012964506, 2.2949379707235975, 2.1015464927954746, 2.275867902566113, 2.2518283601462983, 2.1972724607695815, 2.352135825223221, 2.0079934055346276, 2.1307249401110857, 2.285377798159128, 2.245206384205049, 2.1549694856534103, 2.0916385025146336, 2.086298448207136, 2.2299918031191224, 2.322640428045029, 2.3898694753111798, 2.1624175528550613, 2.2468118667189887, 2.1880741124994594, 2.334078276447426, 2.3565895241527057, 2.2173457250400914, 2.1790245401779393, 2.4968862035511994, 2.3328426301483867, 2.346109003923727, 2.2248164093680733, 2.33504676910833, 2.28919095117492, 2.3077344705265808, 2.2786314797670144, 2.496440464731739, 2.3189540450166852, 2.4831319684598285, 2.282847917980573, 2.5522777519080124, 2.4358541470523734, 2.4941750500083537, 2.266642883268221, 2.5065309974717414, 2.6694174014695697, 2.4754117658857466, 2.721630053707568, 2.293460667464789, 2.3844737364332196, 2.531268316607589, 2.3999365665812324, 2.7201327950788845, 2.4053796004520884, 2.5943403387273025, 2.457230074623015, 2.3387997505696245, 2.5280854943051025, 2.515266810864714, 2.5979505721283194, 2.6497778719112963, 2.5002641936227596, 2.666866124192931, 2.5930246765577234, 2.511334445243304, 2.534591565817974, 2.6138263780324347, 2.663877626810363, 2.614719760564472, 2.610800182077645, 2.564235196889382, 2.6558186745894368, 2.6799176292273046, 2.8583315770624256, 2.575968916554702, 2.808304201854198, 2.76090900310553, 2.681861918457262, 2.891289175195284, 2.6994518315809413, 2.7436499921102837, 2.6882709473648267, 2.799863973443993, 2.740922768889178, 2.658350979861219, 2.796158636014589, 2.9228059566931726, 2.7110074891568643, 2.866269973879647, 2.7266757392645653, 2.8341295562503532, 2.856368745403861, 2.9341787299916247, 2.736526121818957, 2.8041246665713664, 2.77793009545303, 2.9120364651831125, 2.912592249874986, 2.8750798893530503, 2.855943720065778, 2.9596326192582834, 2.753394663928521, 2.900331187569158, 2.996658664311215, 2.765593155800634, 2.8680557009648013, 2.8719393358251875, 2.8845275766348086, 3.1098786484104366, 2.7286336803220492, 2.902291585884646, 3.009369839512477, 3.0434785476892574, 3.0765164839755332, 2.835041061327453, 3.105424628574951, 3.1039634908473426, 2.923182932611888, 2.9175268222569057, 2.8956510789047774, 2.8005245646319614, 3.230562019317104, 3.0448372640752037, 2.8678733034268, 2.8276653372513563, 2.962272829144156, 3.0233600899615616, 3.147961082500113, 3.187597255025519, 3.1200584452849993, 3.1062157537849857, 3.1357961786491315, 3.2389617129191057, 3.1303958509826058, 3.179039174844159, 3.022729385110645, 3.1648087882590445, 3.102553988508721, 3.198840294796415, 3.1327829042682236, 3.2131962775116643, 3.105182720192552, 3.0900072077023983, 3.1164432930115575, 3.1296068025260695, 3.2443635408454483, 3.298288206370705, 3.243374898004347, 3.2490703813558417, 3.2567159102451737, 3.3611917453930635, 3.154592769567998, 3.29213767059044, 3.292544808924435, 3.371486850808281, 3.211555020550801, 3.457033144451231, 3.295582276905505, 3.192269778444036, 3.2699463588123194, 3.3999543040018914, 3.317143603425036, 3.273133695411263, 3.4893535476737427, 3.4158488610624436, 3.344222253109069, 3.3992009696146988, 3.472717736042824, 3.508326294698184, 3.3405749010671815, 3.480729647071276, 3.603353233014106, 3.3592046813544627, 3.4688583595126867, 3.483583649841651, 3.4284102746219256, 3.363415257492996, 3.3708423545568897, 3.4461090787706423, 3.3925326682559045, 3.3414007347117822, 3.365853442554006, 3.4450555411377213, 3.486912553311265, 3.453980642024294, 3.4300587666793336, 3.6269695396230994, 3.4258123905819944, 3.545209476422142, 3.6698501470141243, 3.57201671141624, 3.7910817472046343, 3.6230746513460117, 3.557163484720792, 3.5414146744215547, 3.66630724735439, 3.664817884408598, 3.662447442786201, 3.5523317473407285, 3.597851691974982, 3.495118103029, 3.6326073515412123, 3.685370855308241, 3.5905107825996665, 3.6271407770242843, 3.6423716991402846, 3.7143349749911074, 3.571333154529528, 3.638607926952329, 3.5741725822369372, 3.6815744427728867, 3.7505832781289814, 3.777636969377056, 3.794742596661221, 3.6945568962200483, 3.851227476639351, 3.9421484550308605, 3.739826126627463, 3.7813353981767626, 3.7540023581228037, 3.7511097026042326, 3.7299298525470563, 3.85283896265708, 3.925016581626041, 3.6870621476945007, 3.884075284764842, 3.7496212879939352, 3.8790499299198706, 3.8826870061498653, 3.9045863661561606, 3.8929956494495213, 3.8409338547005265, 3.862147186473421, 4.022617900286211, 3.9055590371503346, 3.962900794770401, 4.87392058293304, 4.904433041581494, 5.017952076536461, 4.826475992631714, 4.92653899787866, 4.914215085738147, 5.057287700457997, 5.108460413632236, 5.021061464469089, 5.098075470684784, 4.860753350180765, 4.695484423728331, 5.015031619046778, 5.058500707196337, 4.948898266926964, 4.933344176954306, 5.03108496570054, 5.1431448624519955, 5.042539967852848, 5.1106760145406644, 5.1111013397438025, 5.083122823456374, 5.154743434175259, 4.9812461309229645, 4.989979780652156, 4.99898762454992, 5.0890072009907925, 5.200513070828435, 5.144292783896275, 4.828693682593382, 5.391336953118073, 5.144139619378298, 5.2300334100341015, 5.159398618506065, 4.987401890737577, 5.183630591887821, 5.018344956741918, 5.178552495199056, 5.200090188742505, 5.258251431895871, 5.126395677172856, 4.931921687209904, 5.157056330907931, 5.252829188598019, 5.199156698131664, 5.198030449042476, 5.1714525013347314, 5.2951948059761, 5.373730140806753, 5.215721248039491, 5.3188001919194114, 5.342788503922121, 5.175532476070163, 5.174877833127473, 5.3795812748349725, 5.203646366416797, 5.258939973870021, 5.331919660830848, 5.2086685266389985, 5.292783828452659, 5.351335597603473, 5.136904245463468, 5.341831585112639, 5.20291444452617, 5.301410823486411, 5.339986346884309, 5.153422870711028, 5.334244321999, 5.23487715459268, 5.242764052935597, 5.39266123083882, 5.5058525473326005, 5.489150590123937, 5.352222715393283, 5.313951854431397, 5.418184538320634, 5.5234277776185925, 5.501081003080036, 5.363009345177595, 5.429160891083294, 5.4048972783317435, 5.215238633332022, 5.6085395180546636, 5.564150789824074, 5.66874537010396, 5.663960391629037, 5.553565783087788, 5.647841239886326, 5.529520683145916, 5.596793804707123, 5.5209595016811, 5.584829889672243, 5.652333902257243, 5.667651367815626, 5.382460147614954, 5.7078722202099454, 5.511672278958444, 5.589429034578808, 5.476190670526176, 5.597069406716516, 5.811015708874987, 5.7195446987148495, 5.705868217790093, 5.895949884303402, 5.641872990195694, 5.746846218677842, 5.852546551611031, 5.835333944835137, 5.819727131138066, 5.877817258999828, 5.865802722476237, 5.851119331720053, 5.676549635721441, 5.815061357207566, 5.926313468689236, 5.761539350493497, 5.772438201843372, 5.858621631221001, 5.970630110960222, 5.792826786690053, 5.813776731816765, 5.712030343759941, 5.828859735785331, 5.99857659765038, 5.8512689532912825, 5.8378575128459484, 5.918971386900979, 5.928686712595425, 6.058743859001955, 5.867377244519602, 5.843577750440167, 6.126220783138396, 6.075431096600793, 5.918063015540973, 6.165186918282489, 5.8645781870494105, 6.167315021410621, 6.200085797103097, 6.252119606571541, 5.9934516108222216, 6.122265186476831, 5.990028940751737, 6.292898750693966, 6.230803610810398, 6.185328657800906, 6.111843114762902, 6.181145311878147, 6.219232385222784, 6.349620930338438, 6.314245659662892, 6.222676914388245, 6.190835859473101, 6.328434549096014, 6.381481070532936, 6.417641780810096, 6.237770265512315, 6.304221350844228, 6.4208172899733755, 6.304712700080694, 6.407965309139906, 6.40684234975408, 6.34467596993524, 6.561114263669243, 6.434014087413858, 6.380209270806142, 6.560701901019433, 6.644592655370203, 6.503773994878166, 6.429123362824849, 6.390215198805952, 6.533492798822233, 6.8016367511704585, 6.623167738524564, 6.5171894366316305, 6.581895624329395, 6.5347446032587015, 6.662205434387152, 6.492106428227092, 6.701103120357481, 6.6807151022644, 6.8538451402062215, 6.763559084209558, 6.826525091028834, 6.818022847707763, 6.781483266461103, 6.835223711650244, 6.8154542968022325, 6.692740108825405, 6.881893170256017, 6.822855896319808, 7.025320635476823, 6.797019181260043, 6.7577823146015845, 6.9922803484114455, 6.689689837925314, 7.039470483823535, 7.05954813130479, 6.947091522469152, 6.971664622500264, 6.909814132142934, 6.959100270756088, 7.073455558312591, 7.128695841012528, 7.052018382153435, 7.060904870264831, 7.144285662475224, 7.218444266153071, 7.170019621394377, 7.222012806702906, 7.177905347066641, 7.0314157421515135, 7.322754217916178, 7.023539497400751, 7.175902225473453, 7.311083742176073, 7.247049621436711, 7.33945831345012, 7.488508838212568, 7.212976246469631, 7.413577644737408, 7.246363302011063, 7.404555788105002, 7.380453468954233, 7.3231965535515835, 7.623615706567135, 7.542374156248189, 7.671116951849612, 7.474377934971418, 7.683435581132502, 7.644412911434018, 7.486448833783525, 7.5330958718972285, 7.551674815799335, 7.708982878343967, 7.7275284313478005, 7.875859701893485, 7.652856675262781, 7.817551464229472, 7.813648510893028, 7.736779211040061, 7.912015932697697, 7.826554452709179, 7.8961313432358295, 7.917493251004211, 7.865643824388447, 7.99014976719588, 8.031088330473919, 8.107158422167338, 7.986940706155033, 8.023586460847948, 7.949712840064575, 8.038801961888833, 8.038213827258865, 8.164361307383587, 8.237777183182521, 8.290679647301648, 8.329127785585515, 8.29824203149182, 8.258695424008033, 8.13586008583601, 8.357968717035433, 8.244755271328055, 8.337945244594515, 8.375899240847815, 8.323305665803689, 8.35999364581065, 8.471442151743485, 8.473471793163284, 8.49551381738673, 8.471225367677715, 8.668560978000377, 8.441666502076078, 8.828127492847699, 8.6511726188249, 8.612049967888519, 8.550888324238832, 8.616163260049207, 8.780426828915324, 8.744981495859497, 8.68251635995056, 8.716211291112991, 8.807646025443825, 8.85624945185332, 9.005018302974836, 8.903872441923657, 9.240474925115857, 9.038399059359095, 9.11413348575543, 9.192920713446304, 8.965847383620645, 9.075250860108557, 9.139190197991054, 9.310597028539192, 9.22191634289928, 9.266470594079564, 9.375505881519492, 9.404505516703829, 9.504476382612108, 9.233155282907253, 9.353158343613051, 9.40402218819302, 9.393291084622929, 9.547870186282791, 9.606653105124368, 9.392034761097953, 9.668175827064251, 9.567847924194474, 9.671922743567865, 9.611283964262505, 9.814738266666799, 9.678036283544646, 9.798062201899096, 9.894737846059673, 9.90148687240131, 9.821084065321754, 9.930167837616201, 9.96574498103819, 10.073980597473453, 10.02213243125294, 10.05185798654713, 10.08550081431887, 10.007613687043442, 10.275099052382085, 10.33797284339947, 10.41202740264773, 10.336972290600809, 10.209171483802352, 10.1720694586483, 10.434687355173834, 10.371145047877913, 10.441986278807796, 10.49626619658373, 10.582387267481518, 10.54115915278088, 10.703520191280518, 10.595704942494004, 10.680733536396941, 10.815614125444725, 10.752466612382765, 10.963124373541953, 10.791330834347857, 11.008412891316505, 10.8207051931413, 10.938222756955499, 11.103719750826777, 11.239432474815418, 11.159068787152346, 11.225047231910668, 11.244376717450763, 11.213399043233398, 11.038345411246642, 11.235675462661456, 11.297501612023957, 11.306026006197571, 11.29280069501536, 11.651907033867143, 11.466669108245613, 11.43852410291559, 11.907395246028571, 11.763185460199177, 11.613075361256723, 11.667558831878457, 11.664725968050272, 11.694609120770574, 11.809275347760163, 11.983690871265015, 12.116350626477102, 12.1435675772901, 12.19649691530065, 12.105815963511269, 12.226137855226867, 12.250460446746589, 12.26409126948526, 12.42684880879247, 12.425910998147275, 12.424817842361877, 12.375836583958314, 12.633413532490405, 12.424161666508027, 12.458159195980167, 12.423646203674329, 12.692847068448772, 12.789065697041318, 12.676894108010291, 12.850503213861245, 13.014033746584898, 13.017405205234168, 12.951755782941998, 13.140403525256694, 13.215278220873373, 13.273388803641675, 13.284941778819825, 13.119529789074562, 13.480908957690689, 13.403556734043674, 13.38642972893731, 13.585093579297434, 13.517639441787152, 13.315310286298036, 13.764793246931706, 13.653020044476715, 13.74745347550956, 13.821738650541194, 13.847537241587725, 13.953749011743174, 14.079484041792282, 14.101496109449487, 14.005168573601393, 14.030578101672528, 14.186664159590695, 14.20544333127142, 14.263710268724887, 14.320404037789636, 14.596042849008878, 14.575210937658392, 14.553021926061858, 14.657661914739908, 14.749346774073924, 14.699365165743068, 14.839619848877822, 14.66798731807601, 14.962214031676023, 15.083918802961664, 15.140728789369637, 15.156818954279398, 15.085524421417825, 15.311537716135906, 15.441138908266023, 15.503173387561466, 15.469333770925605, 15.567814153524774, 15.58265598441279, 15.734980665328424, 15.695852018179988, 15.75672631404569, 15.868177354935884, 15.935262831370425, 15.868547623904828, 16.070860538396165, 16.033330634056107, 16.218005031473897, 16.531703795541908, 16.43546983296967, 16.330652338647205, 16.514662654569836, 16.633276228453045, 16.533266707518635, 16.764088964615798, 16.793918432629937, 16.86356441273122, 16.88076200588436, 17.021089713363686, 17.226614389175367, 17.131390174552603, 17.344839983598604, 17.32525696960668, 17.428887099789737, 17.621265229804415, 17.547905090213817, 17.641538468886115, 17.777656562801926, 17.697422591496352, 17.968940335431714, 17.920700470617504, 17.990802237628447, 17.98348347473444, 18.091448367307205, 18.313393485827596, 18.467959248013326, 18.362259481282603, 18.583723514296107, 18.58719955615894, 18.555119916285413, 18.731675094676703, 18.928703163443153, 18.845952284285882, 18.9041126256399, 19.05563153561244, 19.137969402430322, 19.468739703439883, 19.400619922348085, 19.590988124035967, 19.553772103959588, 19.68059511952372, 19.830383683274167, 19.697846377869045, 19.822468602375075, 20.0684139559759, 20.115936320425345, 20.25296725865624, 20.209456740121343, 20.3736370329365, 20.62045874841008, 20.517541896256628, 20.75846847306604, 20.806072296012598, 20.78501670373664, 21.078497899345415, 21.183440527812962, 21.023372972322093, 21.333274857346087, 21.315370782084333, 21.441973065944683, 21.34985540319042, 21.619824225703358, 21.671220041921284, 21.8492262048002, 21.862118741860467, 21.97429463383228, 22.076927714678863, 22.389516833966265, 22.362842992889792 ]
The given time series is a sine wave followed by a square wave. What is the most likely amplitude of the square wave?
[ "2.03", "6.02", "17.43" ]
17.43
multiple-choice
null
null
24
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Amplitude" ]
After the sine wave, the square wave follows. Begin by identifying where the square wave starts. Next, measure the distance between its peak and baseline.
Pattern Recognition
Cycle Recognition
484
[ 0.15093141062218893, 0.5382399089133699, 0.6915201215591685, 0.9251735035775207, 0.889177379057321, 1.2823820424687937, 1.4370857321268315, 1.2126700545014055, 1.4084226033638092, 1.0571173067614736, 0.9997636345737076, 0.6714001485910316, 0.24710984872633962, 0.03348423686463602, -0.32809257574915235, -0.5571679591738112, -0.7486693035530128, -1.0632056651028878, -1.1550954745512292, -1.3574927702690118, -1.3108879477508932, -1.164063104699598, -1.1698463664563474, -0.8721585678787723, -0.663096206030756, -0.49689097839856705, -0.21918583218234766, 0.1599493736735116, 0.40847672327680895, 0.9212376315302119, 0.8853139110275338, 1.2224517481193091, 1.227077464879855, 1.2107815450139263, 1.2847116170423003, 1.0614920062317048, 1.0078764890248428, 0.6270020095352697, 0.5599315275401406, 0.14983406576069727, -0.21271887143898502, -0.398273995614756, -0.7172463250810183, -1.0598233257579723, -1.0986104968907429, -1.3666775114725211, -1.3378965456003011, -1.4579893860970987, -1.159357308546399, -1.053579874303841, -0.7413751907362355, -0.40483311260335975, -0.23952507146309135, -0.005652910023090776, 0.4035318585092961, 0.6670556291368267, 0.9228174048914773, 1.111287112623644, 1.3245775256525756, 1.3939737257092581, 1.3233390115472334, 1.2742178376028785, 1.0445254050878623, 0.7268331696824187, 0.6058367702002277, 0.1981301324730146, -0.1033009535757679, -0.4103621289062591, -0.7074055481958503, -1.0938259568057083, -1.1996236976809524, -1.3236562346058016, -1.2869776435582372, -1.390666132901261, -1.172841520113099, -1.0716216104639655, -0.8521900714874864, -0.5397431835150663, -0.2800404610754179, -0.14537216941777287, 0.17345687588909284, 0.6111140397327242, 0.9525859399792229, 1.128825446528463, 1.1226869837639735, 1.2129425201433017, 1.3581398833311227, 1.1782018791267892, 1.0326336125832616, 0.8944522346016971, 0.8450864991294891, 0.3249786582927399, 0.0336208373739062, -0.2622634123449127, -0.43565432082249567, -0.7930442910562419, -1.032836956834865, -1.1901580748631497, -1.1225797897253473, -1.4092038856674007, -1.2923218520201787, -1.1131664385079307, -0.8869982204234281, -0.6775918957583593, -0.6140795383076568, -0.12377295090797756, 0.283595800000143, 0.5667651028264035, 0.7807239599581459, 0.9079392125042, 1.241598603704979, 1.1822468888014332, 1.3287481672752555, 1.2906820747158947, 1.2465662237157267, 1.0909501671414865, 0.7746977281689479, 0.5645281113788484, 0.1208518875966827, -0.02126294811024168, -0.48718372962121403, -0.9238494977803617, -0.8609364050367392, -0.9572415644339176, -1.3948045701221874, -1.189603910833598, -1.366747849673858, -1.3031301307877625, -1.247327270636974, -0.6553965416183954, -0.59449257157653, 0.13057236661755947, 0.1965112690384661, 0.5055317882531062, 0.5752103726973449, 0.914857604962316, 1.0157574398241198, 1.3257919986087288, 1.28298015879248, 1.1078064786335098, 1.2222996788474179, 0.9938544425354225, 0.9337657084396713, 0.5308684053243623, 0.26119648019765934, -0.134153045621175, -0.2597601784591996, -0.6795335822909683, -0.9340435068413923, -1.034176323807152, -1.2835628869852564, -1.295756647588243, -1.3294548450532078, -1.1445437152947535, -1.1518857758869372, -1.0202950378664704, -0.5173307045181709, -0.2797063701240484, -0.05364523455179, 0.3615442395785296, 0.4636880407237718, 0.905464489493834, 1.1190424385720383, 1.1186988533548372, 1.2571153057640276, 1.3365524628151233, 1.2293575339345866, 1.2321923688082737, 0.9085670326787109, 0.5040949933622674, 0.3774263168932658, -0.07087367373340314, -0.22281796449409352, -0.5520073413181739, -1.1054435309280621, -0.9999661670288128, -1.1938724007949086, -1.2129072517884207, -1.2749803021569555, -1.3888613655703383, -1.225334274500489, -0.8482423254190705, -0.6044699267174956, -0.34643852839948425, -0.14140927194300532, 0.18417926032374748, 0.5135974330252149, 0.7952872942142234, 0.8865500421372388, 1.3553280370706278, 1.2137882056808007, 1.2572184997265932, 1.5139779996866864, 1.1082664366560746, 1.1370477791269937, 0.6689766814759268, 0.5712943306272592, 0.00979531214046822, -0.20119493013168335, -0.3554091308098243, -0.6836209518684645, -1.0747646126049695, -1.1474534499306703, -1.347329488510915, -1.4173273709600893, -1.087426029178724, -1.2283664412084427, -0.9789282972297602, -0.8831134155336571, -0.39996582014074045, -0.195460635790118, 0.11905054780710873, 0.4724428855089103, 0.8300211822038618, 1.0252372344926126, 1.224026887733242, 0.983761827322259, 1.424278976964333, 1.3010371494351205, 1.1415699839652107, 0.816136747915902, 0.9114965116059087, 0.8318523622265834, -0.003347679081787902, -0.10928839192082646, -0.2763404906190541, -0.6716652568871442, -1.0503536880042847, -1.075168394366711, -1.10712903648344, -1.2468610449300572, -1.2543911768536813, -1.2915654386477142, -1.036950964460641, -0.8082323119276636, -0.5957029629431513, -0.1955778969798431, 0.05243414457068957, 0.10102160041043759, 0.5449779145903746, 0.7876243021054923, 0.8785113137906351, 1.205415405131703, 1.3277759693665232, 1.2223697506375024, 1.3388170977739569, 1.0489146345659135, 1.005962214398069, 0.6219324997473779, 0.4194865365906367, 0.10568759979587272, -0.2520458186662324, -0.5021646747942193, -0.7526065864092846, -1.165231494689729, -1.2527797409401344, -1.1895428958995622, -1.2812588710496686, -1.1591825677410754, -1.3166160529339455, -0.8424592024073533, -0.7207994165742144, -0.4806858876317297, -0.08220727269482461, 0.3517817201978427, 0.34873269685230823, 0.8105936754459099, 0.8828426983574093, 1.1024560555859282, 1.220804082922177, 1.292678037212524, 1.296799134700893, 1.1389009091917803, 0.970166096687293, 0.7715533481524919, 0.3978254621632167, 0.07603487512028617, -0.16809751109129206, -0.31478795392452114, -0.7464255317020001, -0.744937753203177, -1.0810435150259647, -1.2356768692930193, -1.3485166646888074, -1.3871139428985821, -1.2079593477605464, -0.9729730893209273, -0.9336693781177768, -0.5154493639935573, -0.2110271074416752, 0.06038679334198235, 0.35600531356690596, 0.7907350861233867, 0.9059926746192615, 1.188006807559507, 1.2688294466768635, 1.3640471371595078, 1.1465725832809854, 1.138387305787185, 0.8860849049785763, 0.8507728716360203, 0.5873515742610311, 0.40507238240367527, 0.18895717192563216, -0.34560119026238123, -0.7099479022535218, -0.9783514467551752, -1.311344795477932, -1.3806169027959785, -1.3522494506642944, -1.1549734501044138, -1.243815537045108, -1.0913249787818504, -0.7383170647640765, -0.5868350054128705, -0.21458277698995343, 0.10002135806404638, 0.26513918509187395, 0.33844374786541925, 1.2192607844764471, 1.0518040005890725, 1.3541456485444812, 1.3001658169840749, 1.2016516830961432, 1.1352695840356672, 1.1921127967740885, 1.1155234861554144, 0.5129704074068874, 0.26867243856710266, -0.12174013375840158, -0.2073469089815998, -0.45380168464296167, -0.8414998517773112, -1.1484496091373577, -1.078220128186115, -1.2561155705284088, -1.3041477701025939, -1.3386525846458814, -1.1294583556270108, -1.0354110333652342, -0.7392864447494835, -0.5957762594283573, 0.002008961140593124, 0.18786215368964737, 0.5592333005166805, 0.948492084085745, 0.964970192638142, 1.2337154364907656, 1.4616488071352685, 1.4442277415433358, 1.3731238754870627, 1.2113801153942632, 0.9397418225270602, 1.0487031216216312, 0.30907351908571085, 0.14360280180576684, -0.13219033683994805, -0.304445595762097, -0.7135949312568737, -1.0353822228684821, -1.2636077741625813, -1.1053673665287875, -1.1039293459729498, -1.2266387298172354, -1.2674439321844977, -0.9277267069787113, -0.7425796312572152, -0.6178450501048026, -0.1391651616435114, 0.15382114443822398, 0.5587625149897391, 0.5482211456839803, 0.8885054865245235, 1.0743037755240679, 1.2680511566628547, 1.3164403374155416, 1.1515100183694158, 1.3888932479620786, 1.010618099899016, 0.8723221247665784, 0.43927524920684263, 0.40367550360238025, -0.11054240774208407, -0.31735935189827347, -0.7119099710422947, -0.8577977768467646, -1.0705252614396132, -1.2921085973637314, -1.4743895279828185, -1.265187642701825, -1.3075180412935503, -0.9471361731024611, -1.03051714694768, -0.48582885996002756, -0.18515200846824362, 0.10359013763112422, 0.35583545576675535, 0.4250630269748492, 0.8843522225239421, 1.0251772521607134, 1.15178415557458, 1.236410314703811, 1.3461824985026385, 1.34034250316365, 1.108761820615713, 0.8694463203447375, 0.6391941258328432, 0.3275045614238223, 0.06348348222803998, -0.2933250646854779, -0.6766944479893009, -0.9707186438845247, -1.0091008704362674, -1.1512142701583103, -1.3273786856426817, -1.238913467062911, -1.340300426823819, -1.060583686474897, -0.8147757729002361, -0.7843661255265458, -0.3328759332508365, -0.06590753052158957, 0.0629868876039321, 0.507743240260446, 0.7095691041038859, 0.9733893174407668, 1.1456232471431091, 1.3583545009288, 1.2756908413712922, 1.3233694009172503, 0.9780831917253006, 1.0491904725706167, 0.8685343848620958, 0.5230891011250045, 0.3076509714181429, -0.17472896859819173, -0.5326126601420464, -0.6468572658313634, -0.9065708607510791, -1.1815424062041031, -1.3910650255124284, -1.1705694408551928, -1.377893946847687, -1.2527869180715938, -0.9102534968021847, -0.9947747476648776, -0.5859090138551479, -0.3650819016004908, 0.08360700477256594, 0.453041387469284, 0.698011114901846, 0.8345585987630182, 1.0503226135902888, 1.215456383030191, 1.3301939931520785, 1.4869472385065374, 1.1704089906523842, 1.1613442759376325, 0.7975373809505754, 0.4252989978943368, 0.4335911166983093, 0.0024004488153069985, -0.2405463973212128, -0.5939101714198257, -0.7775894714566793, -1.0275723090684836, -1.1682994382836906, -1.3724774795030126, -1.28948240628431, -1.1865520256823403, -1.0630482249374809, -0.9454187280354058, -0.6162220004890226, -0.2690172204178752, 0.06058014939204283, 0.27574722503485277, 0.5785553689630314, 0.9210437512168994, 0.9947146570574438, 1.1950981916524621, 1.1716388395834592, 1.31882892150848, 1.3149616716284886, 0.9718555261637357, 0.8409282363276955, 0.6136907437648293, 0.44972395531195475, 0.10725179684203251, -0.18262253056744016, -0.3663083915310441, -0.7333379889861179, -1.2091548787351556, -1.2745960305754989, -1.396157423413732, -1.3606736405457218, -1.3060183331614401, -1.148249681671984, -0.9444417349443728, -0.6299188611301352, -0.508568424728411, -0.07287904555207741, 0.05739300823913475, 0.5336608965284628, 0.6436056566785029, 0.8252722262779184, 1.1105112503493, 1.2609108439588395, 1.4524112664590854, 1.3979862568010144, 1.190824311685526, 0.9081343035814747, 0.7185230794019014, 0.9084463042200344, 18.14693964239911, 18.282641424731864, 18.36246852107739, 18.114792932430035, 18.225078443629837, 18.274804403833965, 18.27718224661697, 18.252325173993658, 18.243109137643707, 18.29696612745339, 18.196739374149498, 18.18049898674124, 18.27789216562081, 18.388499170313796, 18.239979389429756, 18.10453619714441, -16.54847344016417, -16.59532636246692, -16.757404132864423, -16.69450518168176, -16.64566027318306, -16.604145673351567, -16.59267458716992, -16.681920353863983, -16.801075986720463, -16.54278459862129, -16.6880596096914, -16.718312322556223, -16.822357323746665, -16.7411714156737, -16.726940961956267, -16.859613434448857, -16.858834779268236, 18.217226912615367, 18.214038436624463, 17.990491198949645, 18.06304736894172, 18.339799766154822, 18.171305593909604, 18.138362914413467, 18.205657971967344, 18.056381137508634, 18.03059889726405, 18.381313874862652, 18.106819942869894, 18.36719117858416, 18.062535352946735, 18.24768912561403, 18.164123000135202, 18.23668083351758, -16.815083985198424, -16.704186051276437, -16.461290121370205, -16.735447754421354, -16.708492106087327, -16.818139313634838, -16.795708546912945, -16.562674603919692, -16.512950355104806, -16.700751951583857, -16.727493375081256, -16.591827176481488, -16.75437068350024, -16.661345788442027, -16.483740768408076, -16.655641954175053, -16.75174518245365, 18.208660601553575, 18.344887792037788, 18.234418650872765, 18.116937733446154, 18.237254831450425, 18.135639685988362, 18.066694550451587, 18.207385458543985, 18.183409708305224, 18.08351920714532, 18.079753408443253, 18.270339223171632, 18.113045598476635, 18.2693357136228, 18.22026437861827, 17.887583720217847, 18.27848423720423, -16.563270847415296, -16.48703383822233, -16.681975942647437, -16.723040869696177, -16.8110755799249, -16.783434613340273, -16.50859374274548, -16.373934046749856, -16.607571544737766, -16.495042010194194, -16.618634189660316, -16.62508396487491, -16.63801082021713, -16.3907859099942, -16.610400851484584, -16.529422787011356, -16.637078709303204, 18.19401709883041, 18.13179861397507, 18.120067452821957, 18.220024775608426, 18.097870222468373, 18.14333935302611, 18.31563606848303, 18.289188564383583, 18.173377808266682, 18.09796432980965, 18.387804302739596, 18.236166415330974, 18.22004783166199, 18.097632831676155, 18.111814830925443, 18.284645048559195, 18.25330878525007, -16.520911261559295, -16.684109030800837, -16.821528984164907, -16.733834040280698, -16.65914684616163, -16.65273390504902, -16.48214110414824, -16.739814268005954, -16.59778326544433, -16.591319129601224, -16.606913260251552, -16.60879500052503, -16.690905814629915, -16.645302788550406, -16.746250814829544, -16.705347213386506, -16.632803779044313, 18.21550602913936, 18.167589181837634, 17.932125759149866, 18.19476638398669, 18.060267604969717, 18.23171078723659, 18.33754042566851, 18.493553798789005, 18.096824832942417, 18.31535673417368, 18.216570737381048, 18.221048930692753, 18.169174229252818, 18.29451323291389, 18.013672133497348, 18.237713982113497, 18.205624970149543, -16.59469268586034, -16.79490990653533, -16.49855675260604, -16.682013967680952, -16.64386232240122, -16.713208871192368, -16.47786333711329, -16.685539061110788, -16.499889594806607, -16.638333496102018, -16.579564236102073, -16.593010003439304, -16.723321933393777, -16.55721601135124, -16.680517377765337, -16.598064159173877, 17.958253991234788, 18.16464462967009, 18.13238434482044, 18.25914855515885, 18.03673001166035, 18.057990556596494, 18.1796487733322, 18.377365631925112, 18.34753606284724, 18.213294203827065, 18.25469424424265, 18.2424635310739, 18.173188396641372, 18.189737346979456, 18.250731196510834, 18.19148196108362, 18.235320482175617, -16.493136894330167, -16.690105489744532, -16.872306222370618, -16.648501406568595, -16.396906055659464, -16.426990524007802, -16.647426921932453, -16.81167342331547, -16.676255393393376, -16.67253312334499, -16.784928873766333, -16.555020362348543, -16.707332089157898, -16.82732524895234, -16.599490138889397, -16.80912440164605, -16.73455889537896, 18.308395178254703, 18.237921419595054, 18.441808588763873, 18.045488427793654, 18.087741716951168, 18.37098093893126, 18.23637480945235, 18.092766162533735, 18.202929555834427, 18.186385227918063, 18.29414411954211, 18.234412028363284, 18.09297681687125, 18.235643282190978, 18.087898652768843, 18.097137306974307, 18.187898063194265, -16.725873842372025, -16.793192225619833, -16.561442361572496, -16.80062767436643, -16.550857796147977, -16.63148141664512, -16.788200582624132, -16.622178684256927, -16.603342765296933, -16.657924021401552, -16.61899756210225, -16.803580601918554, -16.658534361617935, -16.824279559151933, -16.753673932242624, -16.780093598518864, -16.66852434130213, 18.242390930908613, 18.235430824264714, 18.275407796164274, 18.200575818684467, 18.164082999071915, 18.244994970251803, 18.090421626371644, 18.156582478345957, 18.25744377636568, 18.412211943793274, 18.329215232869316, 18.185897340849184, 18.386908238650115, 18.188664376105475, 18.322334379878637, 18.26762212562475, 18.142928086456642, -16.681196332384793, -16.618992358049077, -16.767191255141746, -16.68518294287172, -16.682953442275064, -16.726349191971536, -16.656230268058458, -16.558798520731127, -16.750400246943624, -16.70293356026197, -16.58108237526728, -16.558733018911745, -16.46069378884768, -16.353035820660455, -16.699768321896972, -16.798203326774825, -16.733155334128522, 18.17969900558726, 18.221175966672313, 18.23562930626022, 18.277447819745046, 18.11414599658149, 18.304543901632112, 18.12337520434238, 18.17566556418176, 18.33747895224278, 18.40629044663326, 18.146823523661848, 18.267335089504975, 18.166681129367518, 18.330430614054364, 18.104774813024537, 18.039875698808828, 18.270500528477843, -16.510106845429714, -16.476053354613633, -16.63614516637695, -16.759862051792528, -16.506759057889923, -16.528882984204177, -16.713677763411464, -16.84837775836901, -16.595061892180063, -16.584355570661142, -16.582256216283707, -16.605845029193897, -16.584870037696845, -16.54952762247338, -16.60196105103901, -16.687566656825123, -16.44318781014033, 18.169832402879535, 18.24563168885582, 18.177441913803857, 18.223018600427867, 18.215686580661846, 18.03969089083767, 18.10843684148083, 18.12259819555205, 18.273429584411947, 18.097302931950235, 18.020939677388235, 18.2223122650757, 18.12291086688895, 18.200708491371046, 18.304620823771337, 18.23872421227275, -16.503553371129552, -16.720341033703534, -16.604503047616713, -16.7791502324984, -16.6216114882756, -16.676206315352054, -16.653959420504137, -16.607850715026206, -16.625358263211062, -16.724845963882363, -16.638847280595442, -16.583634075800287, -16.430180380705, -16.38071470310261, -16.73660206080544, -16.676786968904405, -16.596797655780893, 18.294777409054962, 18.2385407983434, 18.182656614355942, 18.23565990087106, 18.3944024997788, 18.139448471266633, 18.233910137649048, 18.101359595757632, 18.15096256247866, 18.22354245510294, 18.25543445227228, 18.04343927637685, 18.216037888713874, 18.07908743055564, 18.380554834856348, 18.19012805825018, 18.337335503890838, -16.614702064720017, -16.62895317989159, -16.619604630196747, -16.62854304473106, -16.809546834476077, -16.810082942466153, -16.555916289268, -16.650901418134545, -16.650389823154867, -16.787351492460274, -16.793626176376907, -16.521851425472946, -16.70019017934728, -16.75783448044986, -16.526706183641274, -16.72360741245383, -16.622682376975323, 18.18360000035326, 18.270693902816323, 18.364641524219284, 18.299856576791232, 18.08210525970399, 18.137736520562903, 18.18060348583928, 18.359782232186536, 18.193994003641347, 18.24589567555831, 18.05693910630882, 18.064964678106033, 18.220098128252392, 18.108170186662853, 18.121922941093867, 18.027931194382685, 18.059161099239194, -16.550686126311845, -16.713515288899302, -16.690671117775736, -16.669527102440053, -16.641746400438375, -16.489764442741716, -16.679520476398466, -16.56904542120437, -16.59967228139986, -16.808849112825186, -16.628657500335432, -16.709042915126346, -16.67817580554673, -16.70596996933741, -16.52010309160615, -16.611266214450904, -16.635467926134606, 18.0612699515841, 18.294981735810833, 18.258315914478143, 18.0664375570289, 18.059899941005632, 18.297945042899354, 18.21161443294797, 18.27450145916162, 18.101764359748493, 18.264171565102323, 18.113712004967017, 18.285334179996127, 18.4013715098465, 18.166243201040984, 18.210585750332594, 18.136420245513644, 18.3747761368733, -16.79021562602735, -16.666929383201165, -16.690070227784666, -16.57066992756, -16.60905258638384, -16.760733303066118, -16.694005936765006, -16.86651035758174, -16.536015643785042, -16.73741395192477, -16.634678973383934, -16.77479393530659, -16.695603294362996, -16.80664655896258, -16.437686246125896, -16.546785197553003, -16.598100938303936, 18.213108961476507, 18.235444889621576, 18.215739321098958, 18.216710817950855, 18.085386861542393, 18.279730296734996, 18.030382914211003, 18.23055878565723, 18.14600354270612, 18.318537829001063, 18.262282657178552, 18.305087945379082, 18.081958764922, 18.203526805879356, 18.235050476037966, 18.234040327435945, 18.23986582097687, -16.757951292213075, -16.74343237645371, -16.86619699772024, -16.754641205025255, -16.673633481006572, -16.62987763844312, -16.785626225584334, -16.647724240300686, -16.612190465278797, -16.575744902514753, -16.884270205913406, -16.723950345961967, -16.50667605709453, -16.788570875329654, -16.689345009666134, -16.57369459213212, 18.2598706690063, 18.274495157205003, 18.147927202387987, 18.076839958286072, 18.318872205943336, 18.124660406979945, 18.284533336548165, 18.330046515747163, 18.122012102768746, 18.170835452580235, 18.360168941909, 18.2975715303243, 18.25130593727575, 18.243828172630685, 18.142622244370983, 18.34289986638739, 18.122985024270886, -16.5563927811888, -16.63464383879844, -16.80922248522306, -16.527473386125177, -16.536807860853486, -16.69575033032992, -16.69099020529256, -16.630595113734522, -16.74384078304744, -16.638771087300622, -16.62712060310314, -16.666574934820552, -16.64011408910964, -16.689124650171287, -16.725974653297886, -16.673865376364756, -16.453605216746325, 18.123133398534815, 18.181427662516562, 18.05237437202281, 18.154845372606886, 18.265543537052835 ]
Is the given time series likely to have a non-stationary anomaly?
[ "Yes, due to trend reversal", "No, the anomaly is stationary (white noise)", "Yes, due to cutoff" ]
Yes, due to cutoff
binary
null
null
69
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Linear Trend", "Sine Wave", "Cutoff Anomaly", "Spike Anomaly" ]
Non-stationary anomaly refers to the anomaly that changes over time. You should check if the time series has a constant mean and variance over time. If not, you should check the type of anomaly based on the given definitions. For example, spikes anomaly are stationary.
Anolmaly Detection
General Anomaly Detection
485
[ 0, 0.9076362966527197, 1.4747406720015135, 1.489262860622087, 0.947640171730952, 0.056141681558045, -0.8469564603539596, -1.4190015912199292, -1.442246340188202, -0.9060040476132729, -0.010680809164375853, 0.9078371331815178, 1.5049122463704858, 1.5571863969496043, 1.046853193966057, 0.16837628599519844, -0.7448811806920188, -1.3464334610409947, -1.4074002266454602, -0.9028624159694263, -0.021264120305036924, 0.9066867974461991, 1.5327937713640378, 1.6227450354390922, 1.1445187386459972, 0.2804646917245062, -0.6414956605637837, -1.2715930009556076, -1.3701770369031752, -0.8981358254370934, -0.03165259002553869, 0.904267672588813, 1.5584215869614622, 1.685915361943665, 1.2405624715839583, 0.3923096905813299, -0.5368833057675242, -1.1945183456422288, -1.3305552464220467, -0.8917512134022925, -0.04174918393874558, 0.9006641539911574, 1.5818356074189315, 1.746677750066681, 1.3349126307101176, 0.5038144604328423, -0.4311294678034713, -1.1152511731076369, -1.2885171347304945, -0.8836381467949788, -0.05145733055879004, 0.8959625154276953, 1.6030792579673618, 1.8050163922882758, 1.4275001398828775, 0.6148827187333931, -0.3243213085103769, -1.0338366385875848, -1.2440488135284886, -0.8737289337926072, -0.0606810744589244, 0.8902507722393695, 1.622199405942055, 1.860919325035349, 1.518258718440402, 0.7254188752240754, -0.2165476618308979, -0.9503233029327456, -1.1971402487137424, -0.8619587311761534, -0.06932522845225136, 0.8836185417454674, 1.6392462864533073, 1.9143784476552235, 1.6071249863185972, 0.8353281835343734, -0.10789889292519961, -0.8647630555934336, -1.1477852762953211, -0.8482656471684011, -0.07729552455416927, 0.8761569011147533, 1.6542734227158853, 1.9653895352628998, 1.6940385645689373, 0.94451689144544, 0.0015332451439540318, -0.7772110323254351, -1.0959816121694441, -0.8325908395914088, -0.08449876348692642, 0.8679582429213764, 1.6673375411637574, 2.0139522454415255, 1.7789421711165894, 1.0528923895766873, 0.11165575692722796, -0.6877255277473021, -1.0417308557419653, -0.8148786091873925, -0.09084296248927748, 0.8591161286146021, 1.6784984814846124, 2.060070118785452, 1.8617817116071125, 1.16036335825995, 0.22237455207510531, -0.5963679028877744, -0.9850384873917905, -0.7950764879551592, -0.09623750119685837, 0.8497251401347746, 1.6878191017169306, 2.10375057328502, 1.9425063651975578, 1.2668399123680731, 0.3335945945607894, -0.5032024878701452, -0.9259138597792547, -0.7731353223618345, -0.10059326536171143, 0.8398807299107747, 1.6953651785601345, 2.145004892561971, 2.0210686651558776, 1.372233743868589, 0.445220053402799, -0.40829647988768725, -0.8643701830132436, -0.7490093512981054, -0.1038227881833842, 0.82967906947703, 1.701205303055815, 2.1838482079741626, 2.097424574141029, 1.4764582618760442, 0.5571544546484308, -0.3117198366320746, -0.8004245037005844, -0.7226562786531766, -0.10584038902710113, 0.8192168969499304, 1.7054107718055809, 2.2202994746179483, 2.171533554044018, 1.5794287299810714, 0.6693008343769129, -0.21354516534378443, -0.7340976779109348, -0.6940373403943607, -0.10656230930922239, 0.8085913636058326, 1.708055473898007, 2.2543814412662684, 2.243358630279481, 1.681062400638342, 0.7815618924795245, -0.11384760766043311, -0.6654143381000194, -0.6631173660450486, -0.10590684533440997, 0.7978998798035837, 1.7092157737240241, 2.2861206142901933, 2.3128664504256298, 1.78127864640029, 0.8938401469730926, -0.012704720445700368, -0.594402854043746, -0.6298648344634155, -0.10379447787383733, 0.7872399604963932, 1.708970389866593, 2.3155472156210735, 2.3800273371195964, 1.8799990877883563, 1.0060380886018443, 0.08980364721227418, -0.5210952878450593, -0.5942519238334673, -0.10014799827893839, 0.7767090705776032, 1.7074002702567435, 2.3426951348199476, 2.4448153351243707, 1.9771477175993226, 1.1180583354822937, 0.19359548063767318, -0.4455273430849609, -0.5562545557891291, -0.09489263093066891, 0.7664044703060927, 1.7045884637939681, 2.3676018753303216, 2.5072082524925516, 2.0726510214489764, 1.229803787546538, 0.2985867296385222, -0.367738308198313, -0.515852433601399, -0.08795615183017835, 0.7564230610560044, 1.7006199886345863, 2.390308494999468, 2.5671876957617523, 2.16643809436255, 1.341177780538279, 0.4046914418061399, -0.28777099416423146, -0.47302907436800123, -0.079269003142586, 0.7468612316357537, 1.695581697356972, 2.4108595409626155, 2.6247390991257418, 2.258440753226636, 1.4520842393177995, 0.5118218988319178, -0.20567166660986902, -0.42777183515450345, -0.06876440351243329, 0.7378147054199219, 1.689562139217379, 2.429302978993291, 2.6798517475351407, 2.348593644924445, 1.5624278302326073, 0.6198887556241516, -0.12148997243540194, -0.38007193304539744, -0.05637845397584096, 0.7293783885364955, 1.6826514197151154, 2.4456901174318677, 2.7325187936909843, 2.4368343499826888, 1.672114112312113, 0.7288011820052616, -0.035278861076250445, -0.32992445907339585, -0.04205023930119256, 0.7216462193502212, 1.6749410576893862, 2.4600755258129503, 2.7827372689042127, 2.5231034815659745, 1.7810496870465604, 0.8384670067641549, 0.05290549947211143, -0.27732838600483256, -0.02572192459783551, 0.7147110194807866, 1.6665238401747502, 2.4725169483206675, 2.8305080878038726, 2.607344779661516, 1.8891423465126587, 0.9487928638354213, 0.1430038117340835, -0.2222865699687957, -0.007338847039493723, 0.7086643465920649, 1.6574936752452547, 2.4830752122091484, 2.87583604688656, 2.689505200304862, 1.9963012196110035, 1.0596843403735114, 0.23495374279677628, -0.1648057459274459, 0.01315039744306934, 0.7035963491861789, 1.647945443080658, 2.4918141313332463, 2.9187298169094023, 2.76953499970512, 2.1024369161833594, 1.1710461264870617, 0.32869002316718143, -0.10489651699468161, 0.035793872637616575, 0.6995956236318208, 1.6379748454908911, 2.498800404942944, 2.9592019291386435, 2.84738781313627, 2.2074616687811948, 1.2827821663958885, 0.4241445502864849, -0.04257333762010207, 0.06063622582353778, 0.6967490736549918, 1.6276782541376722, 2.504103511901345, 2.99726875547565, 2.92302072846943, 2.3112894718608787, 1.3947958107709284, 0.5212464965375125, 0.022145509335068647, 0.08771861696336636, 0.6951417725135862, 1.6171525576933343, 2.5077956004946236, 3.0329504824918456, 2.996394354229471, 2.4138362181841813, 1.5069899700155196, 0.6199224215739976, 0.08923794159372656, 0.11707865342502122, 0.6948568280752538, 1.6064950081801281, 2.509951374008055, 3.0662710794137604, 3.0674728820680404, 2.515019832208549, 1.619267268244924, 0.720096388793503, 0.1586781124843848, 0.1487503303382931, 0.695975251012241, 1.5958030667330587, 2.5106479722502515, 3.097258260108966, 3.136224143553928, 2.61476040025504, 1.7315301977198936, 0.8216900857693351, 0.23043645193270867, 0.1827639766801583, 0.6985758263222804, 1.5851742490311604, 2.5099648492130306, 3.1259434391332075, 3.202619661190629, 2.7129802972474812, 1.8436812734893464, 0.9246229484501748, 0.304479713358321, 0.21914620717450828, 0.7027349883792673, 1.5747059706420508, 2.5079836470611663, 3.152361681908312, 3.2666346935803814, 2.809604309822556, 1.9556231879969066, 1.0288122889312723, 0.3807710264022133, 0.2579198800823397, 0.7085266997121071, 1.564495392525653, 2.5047880666515745, 3.176551649110272, 3.3282482746628475, 2.9045597556141485, 2.0672589654061007, 1.1341734265930077, 0.45926995540159243, 0.2991040609497415, 0.7160223337032741, 1.554639266941533, 2.500463734788119, 3.1985555353549673, 3.3874432469662192, 2.997776598524675, 2.178492115399421, 1.2406198224009692, 0.5399325635186596, 0.3427139923707816, 0.7252905613944689, 1.545233784003944, 2.4950980684209565, 3.2184190022797976, 3.4442062888182656, 3.089187559798529, 2.2892267862076365, 1.3480632161521635, 0.6227114824226803, 0.3887610698134847, 0.7363972425770895, 1.5363744191294872, 2.488780136007963, 3.236191106126151, 3.4985279354738035, 3.1787282247234994, 2.3993679166257094, 1.4564137664521293, 0.7075559874135822, 0.43725282354714534, 0.7494053213421794, 1.5281557816169125, 2.4816005162559196, 3.2519242199388145, 3.550402594125366, 3.2663371447890057, 2.5088213867760256, 1.5655801931987148, 0.7944120778693053, 0.48819290669969817, 0.7643747262536138, 1.5206714646019126, 2.4736511544671544, 3.2656739505046812, 3.5998285527731255, 3.351955935140982, 2.6174941673774073, 1.6754699223482188, 0.8832225628878534, 0.5415810894640105, 0.781362275304653, 1.5140138966221466, 2.465025216718628, 3.2774990501628545, 3.646807982940051, 3.4355293671770837, 2.7252944672858375, 1.7859892327333784, 0.9739271519897525, 0.5974132594623482, 0.8004215858068726, 1.5082741950306016, 2.4558169421047147, 3.28746132362648, 3.6913469362279736, 3.517005456137043, 2.8321318790702295, 1.8970434047009346, 1.066462550735591, 0.655681428268414, 0.821602989356023, 1.5035420214871085, 2.446121493278906, 3.295625529963102, 3.7334553347200057, 3.596335543547717, 2.937917522394998, 2.008536870332069, 1.1607625611083001, 0.7163737440766393, 0.8449534520081277, 1.4999054397598222, 2.4360348055296916, 3.3020592798901913, 3.773146955244648, 3.673474374393283, 3.042564184979523, 2.1203733650092627, 1.2567581864997286, 0.7794745104985219, 0.8705164997938679, 1.4974507760596008, 2.4256534346323977, 3.3068329285472746, 3.810439407526313, 3.748380168887665, 3.14598646091296, 2.232456080086838, 1.3543777411364752, 0.8449642114564657, 0.8983321496880396, 1.4962624821313266, 2.415074403715586, 3.3100194639165053, 3.8453541062571537, 3.821014688735043, 3.2481008861042104, 2.3446878164251665, 1.4535469637697056, 0.912819542135221, 0.9284368461448025, 1.4964230013168107, 2.404395049387644, 3.3116943910666388, 3.8779162371344524, 3.8913432977742692, 3.348826070651513, 2.4569711385441857, 1.5541891354501733, 0.9830134459423907, 0.9608634032982339, 1.4980126378041316, 2.393712867364807, 3.3119356124060966, 3.908154716917129, 3.959335016909934, 3.448082827923577, 2.5692085291508673, 1.6562252012010825, 1.0555151574187147, 0.9956409529208929, 1.501109429268402, 2.3831253578482556, 3.310823304132856, 3.936102147565328, 4.024962573243958, 3.545794300145279, 2.681302543797746, 1.7595738953950515, 1.1302902510308608, 1.0327948982220108, 1.5057890231082516, 2.372729870892685, 3.3084397890793578, 3.961794764535014, 4.088202443329019, 3.641886080291024, 2.7931559654245213, 1.8641518706381506, 1.2073006957684504, 1.0723468735592936, 1.5121245564720787, 2.36262345201441, 3.3048694061517785, 3.985272379310507, 4.149034890475597, 3.7362863300902456, 2.9046719585404333, 1.969873829954343, 1.286504915459721, 1.1143147101278805, 1.5201865402664436, 2.35290268828105, 3.300198376573112, 4.00657831626506, 4.20744399605354, 3.828925893960034, 3.0157542228000866, 2.076652662063082, 1.367857854709077, 1.1587124076808089, 1.530042747328887, 2.343663555129603, 3.29451466713975, 4.025759343950751, 4.263417684738189, 3.919738408682133, 3.126307145731955, 2.184399579533068, 1.4513110503531461, 1.2055501123261634, 1.5417581049432931, 2.335001264153662, 3.287907850710922, 4.042865600925434, 4.316947743661272, 4.008660408652304, 3.236235954374567, 2.2930242595955708, 1.536812708320726, 1.2548341004357557, 1.555394591868408, 2.3270101121020645, 3.2804689641497196, 4.057950516235707, 4.368029835436163, 4.095631426533583, 3.3454468655826366, 2.4024349873914295, 1.6243077857761103, 1.3065667686911393, 1.5710111400425975, 2.3197833313292824, 3.272290363943491, 4.071070724680576, 4.416663505036747, 4.180594089154496, 3.4538472347620375, 2.5125388014271617, 1.713738078414038, 1.3607466302825661, 1.5886635411202519, 2.3134129419326355, 3.263465579730565, 4.082285976991686, 4.46285218051907, 4.263494208500552, 3.561345702800426, 2.623241641006838, 1.8050423127693942, 1.4173683172669904, 1.6084043579890233, 2.30798960581341, 3.254089165966393, 4.0916590450713395, 4.506603167584618, 4.344280867653487, 3.6678523409578365, 2.7344484954085906, 1.8981562433935988, 1.4764225890814078, 1.6302828414076844, 2.303602482890712, 3.2442565519652375, 4.099255622439015, 4.547927637993826, 4.422906501543474, 3.7732787934900656, 2.8460635545664563, 1.9930127547453225, 1.537896347197889, 1.6543448518964414, 2.300339089698673, 3.234063890553089, 4.105144220044979, 4.5868406118481335, 4.4993269723847265, 3.8775384177760848, 2.9579903610213134, 2.089541967632088, 1.6017726558973207, 1.680632787004643, 2.2982851605888, 3.223607905574508, 4.10939605761464, 4.623360933768915, 4.573501639676274, 3.980546421729703, 3.070131962897175, 2.187671350035879, 1.6680307691285352, 1.7091855140699592, 2.297524511759578, 3.212985738492473, 4.112084950697947, -0.011118801180469205, 0.0031890218468938335, 0.0027904129220013766, 0.010105152848065265, -0.005808781340235147, -0.005251698071781476, -0.0057138016575414155, -0.009240828377471049, -0.026125490126936015, 0.009503696823969031, 0.008164450809513273, -0.01523875997615861, -0.0042804606417623445, -0.007424068371191725, -0.007033438017074073, -0.021396206560762396, -0.0062947496092425085, 0.0059772046691260825, 0.02559488031037793, 0.003942330218796011, 0.0012221916522267957, -0.005154356620924533, -0.006002538501059117, 0.009474398210466388, 0.002910340012621821, -0.006355597402746391, -0.01021552194675598, -0.0016175538639752096, -0.005336488038424868, -0.00005527862320126283, 4.746024611042808, 4.847055318804666, 4.378438602067449, 3.518898606308345, 2.594653638545415, 1.956334994496157, 1.8466948395179776, 2.3090165565884826, 3.1707840578475484, 4.108771578673329, 4.770995773399779, 4.909517958700952, 4.473990623029334, 3.6306533892511235, 2.6996113116788982, 2.034060214842174, 1.8870269855233037, 2.3159032996651927, 3.1607919179823774, 4.1048354269360665, 4.793765574999522, 4.9695676040594075, 4.567828431156665, 3.742039508339424, 2.805684965686754, 2.113965004609147, 1.929779944597627, 2.324538734067223, 3.1512165717923337, 4.0998269162403025, 4.814378462773704, 5.027189577736639, 4.659883762872145, 3.852960869202285, 2.9127869315170734, 2.196003197330514, 1.9749664713267663, 2.3349897231663093, 3.142153764088786, 4.093834548612052, 4.832882304417558, 5.082373052762076, 4.750091181522423, 3.963322114553041, 3.020827909263947, 2.280125243063108, 2.022595460772868, 2.3473202509503523, 3.1336984268214803, 4.086948386427573, 4.849328312474357, 5.135111069509081, 4.8383881811570495, 4.0730287754220855, 3.1297171097926624, 2.366278286971208, 2.0726719343673556, 2.361591320547138, 3.1259445285206775, 4.079259909579324, 4.863770963114178, 5.185400546732571, 4.924715285660185, 4.181987420979862, 3.239362398727149, 2.4544062531514057, 2.12519703194716, 2.377860857476718, 3.1189849252673314, 4.0708618703929185, 4.876267909737625, 5.23324228645576, 5.009016143076522, 4.2901058067140045, 3.349670442570928, 2.5444499335669555, 2.1801680099469634, 2.396183617784059, 3.1129112134279726, 4.061848146526648, 4.886879891540049, 5.2786409726981605, 5.091237614983438, 4.397293020724134, 3.4605468567294766, 2.6363470819485286, 2.237578245750393, 2.4166111011988987, 3.107813584386947, 4.052313592085348, 4.895670637182511, 5.321605164046931, 5.1713298607656135, 4.503459627904827, 3.5718963551994825, 2.730032512514023, 2.2974172481931685, 2.4391914694590473, 3.1037806815077627, 4.042353887186854, 4.902706763720438, 5.362147280083458, 5.249246416660085, 4.608517811784826, 3.683622901688472, 2.825438203349961, 2.359670674201629, 2.463969469928517, 3.1008994595479393, 4.032065386217591, 4.9080576709525054, 5.40028358168635, 5.3249442694452735, 4.712381513800131, 3.7956298619235858, 2.922493404291145, 2.4243203515400373, 2.490986364630154, 3.0992550467535023, 4.021544965018879, 4.911795431355973, 5.436034145242486, 5.398383924658393, 4.814966569778231, 3.9078201569088056, 3.0211247491272277, 2.491344307631083, 2.5202798648062754, 3.0989306098492904, 4.0108898672466795, 4.913994675782673, 5.469422830806975, 5.469529469231543, 4.916190843419418, 4.0200964168878395, 3.121256371957943, 2.5607168044032305, 2.551884071110013, 3.1000072221410306, 4.000197550147475, 4.914732475098538, 5.5004772442619725, 5.538348628448006, 5.015974356560618, 4.132361135768142, 3.222810027512622, 2.6324083791101813, 2.585829419523561, 3.102563734936021, 3.9895655299963746, 4.914088217952282, 5.529228693535217, 5.60481281712876, 5.114239416016586, 4.244516825760894, 3.325705215244008, 2.7063858910571534, 2.622142633088036, 3.10667665248926, 3.9790912274398407, 4.912143484869316, 5.555712138947057, 5.668897184967002, 5.210910736798471, 4.35646617199143, 3.429859306997903, 2.782612574160823, 2.6608466795221473, 3.1124200106710336, 3.9688718129918414, 4.908981918868372, 5.579966137765178, 5.730580655939628, 5.305915561511769, 4.468112186837176, 3.5351876780574267, 2.8610480952583615, 2.701960734796234, 3.1198652595500196, 3.9590040529256454, 4.9046890928079145, 5.6020327830543755, 5.789845961732757, 5.399183775745996, 4.5793583637444, 3.641603841354451, 2.9416486180740815, 2.74550015272025, 3.1290811500760762, 3.9495841558077656, 4.899352373671373, 5.621957636919082, 5.846679669128557, 5.490648019273236, 4.6901088302837595, 3.7490195846334773, 3.0243668727413553, 2.791476440593291, 3.1401336250449985, 3.9407076199146673, 4.893060784007883, 5.639789658243882, 5.901072201309628, 5.580243792878019, 4.800268500199104, 3.857345110352435, 3.1091522307709036, 2.8398972409536043, 3.1530857145161106, 3.9324690817776973, 4.885904860745747, 5.655581125047414, 5.953017853047402, 5.667909560650105, 4.909743224210045, 3.9664891780966918, 3.1959507853449685, 2.8907663194578097, 3.1679974358499936, 3.9249621660936667, 4.877976511605777, 5.669387551571329, 6.002514799750357, 5.753586847577639, 5.018439939327617, 4.0763592492830325, 3.2847054368106474, 2.944083558908809, 3.184925698523128, 3.9182793372411577, 4.86936886933965, 5.681267600237691, 6.049565100357758, 5.837220332285362, 5.126266816448794, 4.186861633920841, 3.3753559832378706, 2.9998449594416083, 3.2039242138725004, 3.912511752635379, 4.860176144026433, 5.691282988612935, 6.094174694074252, 5.918757934772311, 5.233133405992442, 4.297901639200166, 3.467839215896417, 3.058042644866955, 3.225043409912199, 3.9077491181573136, 4.850493473658822, 5.699498391527181, 6.136353390950549, 5.998150899007837, 5.338950781348267, 4.4093837196702355, 3.562089019502211, 3.118664875162583, 3.2483303513564157, 3.9040795458848785, 4.84041677325927, 5.705981338502303, 6.176114856325251, 6.075353870256544, 5.443631679910376, 4.52121162876934, 3.6580364770725424, 3.1816960650923765, 3.2738286649773953, 3.901589414350379, 4.830042582763813, 5.710802106653624, 6.213476589152118, 6.1503249670084745, 5.547090641471045, 4.633288571468383, 3.7556099792258957, 3.24711680892367, 3.3015784704152775, 3.9003632315488574, 4.819467913913235, 5.7140336092341295, 6.248459894247601, 6.223025847401653, 5.649244143757504, 4.7455173577825445, 3.8547353377505695, 3.3149039112040413, 3.3316163165504915, 3.9004835009120984, 4.808790096397714, 5.715751279996706, 6.281089848502567, 6.293421770030222, 5.750010734893708, 4.857800556910187, 3.955335903263942, 3.3850304235480695, 3.363975123538565, 3.9020305904626458, 4.798106623496176, 5.716032953560278, 6.311395261111263, 6.36148164904254, 5.849311162579463, 4.970040651753516, 4.057332686774211, 3.457465687376297, 3.398684130600572, 3.905082605353042, 4.787514997457249, 5.714958741967498, 6.33940862788147, 6.427178103442202, 5.947068499780287, 5.082140193576273, 4.160644484954064, 3.5321753825380453, 3.4357688496510086, 3.9097152639953174, 4.777112574864238, 5.712610907631413, 6.365166079697562, 6.490487500512787, 6.043208266730898, 5.194001956552143, 4.26518800892476, 3.609121581741922, 3.4752510248372417, 3.916001777974887, 4.766996412232876, 5.709073732870271, 6.388707325218919, 6.551389993298313, 6.137658549056047, 5.305529091961381, 4.370878016348511, 3.688262810706479, 3.5171485980540877, 3.9240127359409316, 4.757263112083919, 5.704433386240323, 6.410075587903438, 6.609869552079469, 6.23035011182359, 5.416625281787612, 4.477627446618809, 3.769554113936615, 3.561475680488972, 3.933815991655365, 4.748008669736786, 5.698777785876246, 6.429317537457444, 6.665913989796165, 6.321216509347352, 5.527194891474015, 4.585347558934607, 3.8529471260205193, 3.6082425302422028, 3.945476556380473, 4.739328321064475, 5.69219646005777, 6.446483215819571, 6.719514981375509, 6.410194190567566, 5.637143121594544, 4.693948073038399, 3.938390148335455 ]
You are given two time series which both have a trend component. Do they share the same direction of trend (upward or downward)?
[ "No, they have different direction of trend", "Yes, they have the same direction of trend" ]
No, they have different direction of trend
binary
[ -0.0797835019014117, 0.32321434038822183, 0.5596126237323809, 0.8797740379166183, 1.3096299356866516, 1.5593436785144288, 1.8288497968759962, 2.0259593946409553, 2.1090053300003686, 2.2230117418199367, 2.218730225768506, 2.2668032356822723, 2.3046338897606278, 2.256434476191999, 2.1889818883343106, 2.0174071285951625, 1.911888316759205, 1.4240349724126964, 1.2337867720464533, 0.8806530940495854, 0.7917263843440349, 0.29788711779397553, 0.1439701691786356, -0.1427708501448615, -0.5531852006301954, -0.8549907335188496, -1.1471684757315093, -1.4206177253358097, -1.6364390575986156, -1.772659816646314, -1.6984453426352981, -2.0630012004846563, -1.969430307089805, -1.9021491523200431, -1.9376006736015323, -1.7571229452584178, -1.7946169667617433, -1.3160450626999243, -1.1027743014830067, -0.9607852505674975, -0.7471450449144406, -0.2672768105675132, -0.13443284073408823, 0.21444606449530013, 0.6447323293262509, 1.1307955840910429, 1.35885240830901, 1.5262713405702928, 1.6931972056025797, 2.104686581536985, 2.328591928830361, 2.4587393327115965, 2.765597382926687, 2.6447263618354646, 2.455310203589889, 2.6206811695387167, 2.6376423568694496, 2.5161997581953224, 2.3023276270708486, 2.0889255343178523, 1.69135127190056, 1.6381614047729738, 1.309822025366387, 1.0647760273096425, 0.7738315723656463, 0.5292041765671046, -0.007568591649223119, -0.3491240005782883, -0.5687399927407228, -0.8540651245594124, -1.1038718037450597, -1.0840467652665826, -1.3827162502809516, -1.3273954567907835, -1.6072080773696922, -1.7596278081516394, -1.7111448427977698, -1.4682035522520516, -1.5778861916694846, -1.2581773663277918, -1.1577401601473087, -0.9856847494054208, -0.4919214275185811, -0.39992696058182414, -0.11292287929171017, 0.2878241668328922, 0.5789989955339861, 1.186741405662823, 1.4010622639795047, 1.5532771923059328, 1.863105803832097, 1.9818017043709193, 2.4397830643396845, 2.557851114658688, 2.8078790550563877, 2.7256149061865136, 2.9969316655080074, 3.1995689325164576, 3.0174719726069044, 2.8697523047574425, 2.8346896526641685, 2.676695554214785, 2.708986583000211, 2.227773568894868, 1.881579292680324, 1.7201715630939645, 1.4351572061909639, 1.1574607868043694, 0.857325612102322, 0.65966137624916, 0.09565394749401157, -0.20684551704499127, -0.5951405208545026, -0.5872905430658939, -0.952766446033415, -0.9476484962384237, -1.2171518379041002, -1.081975491943118, -1.4379164683685124, -1.1846599195652392, -1.1413380121582555, -1.0772188879360247, -1.0951321860151793, -0.7421325547262023, -0.5565366588697644, -0.4929865816522524, 0.1330381648303437, 0.2518069581423871, 0.7592427251459768, 0.937982557733554, 1.3785748885322033, 1.5249984079001848, 1.9511731163361385, 2.244478630294066, 2.473452251892784, 2.664310707740276, 2.6546289909442473, 3.047177393097687, 3.3291704669365925, 3.2013526633924303, 3.256643912452064, 3.2188150624973906, 3.3227464538548808, 3.1062388023708665, 3.167927010005521, 2.9296064265397384, 2.6505442778149244, 2.4044081603929213, 2.0159076893073866, 1.7149812974596672, 1.5488170034047295, 1.2497570726751621, 0.9105336046944631, 0.4832456505717549, 0.19602434984996925, -0.1318765973267833, -0.20846112055685506, -0.6953424642374574, -0.8961458509614412, -1.0114317948731306, -1.116096601130241, -0.8105543798213067, -0.8644740125722885, -1.0122409991879975, -0.8054489085398636, -0.505897231903972, -0.41807412612220507, -0.03401316108677954, -0.0005272062936201981, 0.2301715022401078, 0.4949296039394375, 0.9289717423184464, 1.3532985433746323, 1.6053099681992216, 1.8909507118584312, 2.372601181434642, 2.6021997827235497, 2.8162652917535507, 2.99945016693144, 3.264264729284165, 3.5113207878277075, 3.517556728265463, 3.5583595679388855, 3.672773546585421, 3.707203778267253, 3.792416605130654, 3.438033237939358, 3.430983918482303, 3.1944098932611786, 2.976937346960062, 2.899829712126997, 2.4743304192687843, 2.0754299536496332, 1.9430210079237555, 1.6166209175345962, 1.1164608754204017, 0.7862258164699094, 0.6497447597876739, 0.3292704138721807, 0.03611491193403631, -0.02839684387950163, -0.3734806813014501, -0.41135316617680084, -0.43120705923359925, -0.6314617923156528, -0.7818431183021601, -0.5929318602044499, -0.44050787087480364, -0.22087299351580642, -0.1927165163431067, 0.25093133921385735, 0.20213016521435634, 0.6307787525895848, 0.8959406725393954, 1.3768872414009898, 1.4272940672173915, 1.9529776344150718, 2.2180669006428024, 2.716924467504504, 2.785467081935024, 3.1906726426301977, 3.316856404207829, 3.6365663792621916, 3.7590221698846675, 3.893137278693513, 3.8234124317289147, 4.107154483317544, 3.953303395970761, 3.8982408112003615, 3.7565781398602165, 3.6647615483315423, 3.6379151868672155, 3.4137693411834196, 3.1839144662113963, 2.7373424651919342, 2.5636810930844525, 2.168983022655822, 2.007253510748702, 1.63551627565006, 1.2152096586914294, 1.0864704706541062, 0.75480743375384, 0.3132185852281407, 0.06431976014235966, -0.08718763464051241, 0.06923683432667788, -0.29665040873557086, -0.06079301888311972, -0.36102011908337306, -0.3298388639654365, -0.035621209067043746, 0.10305729160281628, 0.2428189534959712, 0.4706093388461134, 0.5732205027871208, 1.0165472654118513, 1.2608225957800212, 1.5213117404050691, 1.8991165474335292, 2.331462747449177, 2.5973012050891575, 2.665138532355914, 3.276249397961353, 3.551876424927932, 3.6870293151296325, 3.957140697689024, 4.138767701043565, 4.069381346706558, 4.3220028998646205, 4.373881950032765, 4.394635663113851, 4.310734905240414, 4.336069840542979, 4.05114888308363, 4.044248929153922, 3.7988634808158848, 3.6250010235988905, 3.387071161777564, 3.0915426152836303, 2.4882719083253293, 2.322881709273607, 1.897533665176556, 1.9843543111502289, 1.4177188188535745, 1.2174425150382882, 0.8644831762910303, 0.33375108803896986, 0.33141893039210385, 0.19397793738003555, 0.1198593840528252, 0.13711272927734638, 0.14091389261958143, -0.1345957526808262, 0.18891366989789843, 0.2939744247700183, 0.6535238799968616, 0.7869066550650714, 0.9567070910980254, 1.2747082319323222, 1.3852415097152906, 1.9397315438119378, 2.1651313354233817, 2.459617417100657, 3.0050773260571924, 3.2250377730815245, 3.4391835507721664, 3.7309894614864305, 4.0854846624932835, 4.301646668838412, 4.46159646533517, 4.482259036674938, 4.596221455464799, 4.6794082646461135, 4.739452624953994, 4.712187773538942, 4.611075181815255, 4.481967481752977, 4.5064099166189, 4.19056390875537, 3.9789573718061884, 3.6335824653797664, 3.2999036590463873, 3.0240733934245947, 2.687720795341869, 2.4265622706378487, 1.9343884326406169, 1.802858496539178, 1.4644832312945928, 1.0095421732863359, 0.9720119535487943, 0.6417059752982441, 0.5676411409155047, 0.4973390695640046, 0.30042921338453354, 0.430899416792234, 0.475993456347663, 0.624739183386088, 0.6296236962938012, 0.8714012077156666, 1.0431363550883477, 1.2550863736624045, 1.4045913014406124, 1.8600650053933137, 2.2639062443995313, 2.426384915329582, 2.8335129721724885, 3.1820610270024137, 3.6245427567086637, 3.8271389580586987, 4.141002892761838, 4.371688806505684, 4.550624066184224, 4.675994727189124, 4.908957142916591, 5.080286841141852, 5.1101840548167825, 5.255155235857305, 5.163490213118112, 5.108019966624764, 4.651126509553842, 4.8409294397636415, 4.50037780306888, 4.27196066583735, 4.050032496689493, 3.6698270007675653, 3.252209175491668, 3.186542441111978, 2.6454433719762864, 2.3090185204691913, 2.0811938075747185, 1.7813658178816554, 1.5602090729807765, 1.320080479196825, 1.2699477308733045, 1.026062538378286, 0.7822702079463607, 0.7294922481316082, 0.7433716762787268, 0.7721547155608195, 0.8347894094122427, 0.8976478600300719, 1.2018808829804586, 1.3324280863721532, 1.5239028511720365, 1.93972610271399, 2.273454171756083, 2.4808571790994276, 3.013023086761076, 3.3917642447578706, 3.554177732346309, 3.7839001780464305, 4.169231726079918, 4.3102691029621125, 4.608734743190124, 4.758275821511545, 5.057014533066551, 5.148686370369725, 5.442126010219728, 5.366174478947488, 5.482578862523744, 5.4958674344711556, 5.457593489586468, 5.179603037748323, 5.078433369872469, 4.875708456218234, 4.7289608547558535, 4.411862974067633, 4.172922055011767, 3.568871815441529, 3.352018905052428, 3.201991570551597, 2.841452238218528, 2.4665221022904342, 2.1449678930937095, 2.0085427347948532, 1.4987183605628356, 1.57771232261572, 1.348570681573024, 1.1743625751721098, 1.2026089420146722, 1.0899267069967136, 1.1553250903175531, 1.21907873697869, 1.4154829666044366, 1.5180023031355057, 1.5127068110854212, 1.802318566314579, 2.102517137492334, 2.5519444315368593, 2.877184887450184, 3.3170802968954898, 3.383680523255801, 3.950722045110601, 3.9533450195338067, 4.4621322250545825, 4.777511643830017, 5.043157360558653, 5.221943849094238, 5.461703155234237, 5.4824969809653075, 5.804593609719262, 5.8088609330048095, 5.838429819395593, 5.744931374582938, 5.663757520571613, 5.627636242234179, 5.5704000560522005, 5.069556638093578, 4.827774778057637, 4.733003666668541, 4.384114756771581, 4.123751628951836, 3.792687016092621, 3.537592517528821, 3.1306558700204112, 2.732765488703249, 2.4860069621280863, 2.283738850161794, 1.9382630648599193, 1.8584144227065245, 1.7053285441260528, 1.5430658666098955, 1.5245271996667014, 1.3138687967587563, 1.399374161348877, 1.4472819787739422, 1.762612015211749, 2.0623035832112966, 1.9414901921773697, 2.240728473979278, 2.461576539499066, 2.846206851015855, 3.076856001005347, 3.4935507397155194, 3.866534010563369, 4.012657106514836, 4.490510583871391, 4.598787985414702, 5.047379252247026, 5.309422344264842, 5.556020604330573, 5.748396735301177, 5.890215476998824, 6.029445467181982, 6.150065428000084, 6.17569821603483, 6.135692511342632, 5.994891196295049, 6.043038099474843, 5.927627238193604, 5.447235450782103, 5.358780628141885, 5.0322383717538495, 4.884491245357672, 4.485994387049174, 4.176973486355724, 3.901501637668436, 3.5055011649658834, 3.396046616916048, 2.9887935580142067, 2.763313761553465, 2.4090938666047075, 2.213765658307308, 2.140543804431267, 2.0059653835398596, 1.7303951978215855, 1.83524873684955, 1.8847674104591472, 1.8867809097671275, 2.0465062197868678, 2.152853482798156, 2.131177304711967, 2.4561724555950817, 2.9486390099947584, 3.1176223116850057, 3.472987230052839, 3.7801990532501746, 4.032411521362922, 4.403515185984847, 4.812360570737285, 5.138952730057986, 5.611683246168389, 5.616527378297843, 6.071705102652431, 6.022890134005441, 6.321868450084884, 6.41134775067768, 6.455613729736849, 6.4949487381937105, 6.412832914556994, 6.497934204627673, 6.210205185583439, 6.170186015239194, 6.018511518059992, 5.850683181790174, 5.548687335785765, 5.223615095454219, 4.799296353711563, 4.4696319178477495, 4.114786012918041, 3.7878983503030694, 3.6030163264849, 3.238107796289014, 3.1606992006614423, 2.7409437812852575, 2.5997695985331664, 2.3934194960583963, 2.1508616497640665, 2.31627902437595, 2.239646028167854, 2.2615490731284402, 2.2979767184490307, 2.2670450622005625, 2.4179793825532823, 2.7276619660429477, 3.064850904528686, 3.2101997771913884, 3.558069906298163, 3.717881762128787, 4.205711364291835, 4.387912554559764, 4.789368744648277, 5.058841785505521, 5.5022559369662485, 5.802701352755988, 5.8388582444131085, 6.362557603620969, 6.675544143621237, 6.5703887502650025, 6.718009271913833, 6.93367147242902, 6.84820936600747, 6.825200134050688, 6.952128997409608, 6.518117625374591, 6.422528130580729, 6.351244485021387, 5.919950270213957, 5.786450662655458, 5.5024349347372565, 5.334960003265232, 4.994006677308791, 4.436980179851959, 4.218163711141631, 3.9091502240463827, 3.6624192806489315, 3.301895491825546, 3.2119923212574037, 2.88555599054613, 2.839620163047503, 2.647759513525909, 2.4625149595791687, 2.656961070196409, 2.665805509338638, 2.6066009825039558, 2.653848179585003, 2.7170549313410253, 3.1165195122248357, 3.3164129374331135, 3.410908607620528, 3.709896968370571, 4.132747038740734, 4.293818733779045, 4.682222654940055, 4.976378167801554, 5.3105081856614325, 5.6586540841711805, 6.122386569730898, 6.133044449086668, 6.598446484902125, 6.792315491946333, 7.035285757500814, 7.093117038620123, 7.112953155311171, 7.105595592159278, 7.274722310801094, 7.166609157854519, 6.96293032004268, 6.9549527219076035, 6.6310946537946736, 6.451180602188812, 6.135322785186016, 5.968148301817192, 5.514968246043964, 5.2713268547464995, 4.916520668839713, 4.690073948840885, 4.392139162301128, 3.9470805266906503, 3.8234121442078135, 3.3874356642795926, 3.5391370390591375, 3.0908534587506673, 3.110163782479627, 2.93284002563671, 2.8907711657552, 2.7513845943543833, 3.001409519042601, 3.0178059594385025, 3.200769523019883, 3.3276194403843906, 3.5710401999513692, 3.724547080978612, 4.081841411353635, 4.361792707002134, 4.6563238424742845, 5.073195454068758, 5.431813269023529, 5.752199537575531, 6.0375930469847585, 6.392041189271936, 6.65441074428344, 6.889608524415756, 7.111402565573865, 7.38889931815435, 7.283222975462784, 7.4596673357965795, 7.566113914984452, 7.367070750280548, 7.609247236152928, 7.396035678506046, 7.322031742561703, 7.153558891253891, 6.8616138987305, 6.344304799997992, 6.30347407583379, 6.011066901500898, 5.568910025223273, 5.179690162304143, 5.086166223036571, 4.6036357199493025, 4.6372452332120275, 4.180441975330667, 4.038828300334914, 3.6883518144292857, 3.578763232460023, 3.368149972389133, 3.3665936335664233, 3.0116389548460747, 3.301189417954344, 3.323856602009039, 3.3330977386662797, 3.444284690778519, 3.6344045591210152, 3.9105005040565435, 4.255878621318657, 4.3624662854736185, 4.550477672675092, 5.290943640696173, 5.4418774130960665, 5.671356971429226, 6.161690475086772, 6.458190886882903, 6.719090803833095, 6.903921404381974, 7.271037279221412, 7.531662525906673, 7.430360232449069, 7.762095289019856, 7.861616620825817, 7.903650072879028, 7.879204789021346, 7.943261186117664, 7.707343304167517, 7.587982841087161, 7.4387256118060865, 7.171374836227763, 6.800525598048113, 6.683880823351216, 6.38779514837435, 6.017432026078878, 5.722109973216268, 5.09837289184412, 5.224784051798099, 4.894995321940323, 4.391939999203397, 4.204983887328309, 4.195710415346566, 3.7500956727761885, 3.7686461741243797, 3.5705582457547718, 3.605788542131415, 3.562194854712543, 3.5689886350581252, 3.7233378902622714, 3.7677187745854495, 3.813860048082763, 4.113944571089997, 4.351158307635107, 4.574435485177949, 5.074618713183244, 5.3409058709391894, 5.725122443245029, 6.077526352754719, 6.434044546604057, 6.7223652463252375, 6.890627206801007, 7.330752993968673, 7.550630224993693, 7.969292146428911, 7.934551318910363, 8.113450358713648, 8.162171861500905, 8.226254205534604, 8.221545418868697, 8.13444578064922, 8.103740285568698, 8.0119940138316, 7.730457208310861, 7.641267327901575, 7.3818819913978375, 6.948022109983724, 6.644126734640159, 6.475050803713051, 6.053268516556094, 5.688207795275082, 5.651140616065925, 5.0822249620801925, 4.745189207390633, 4.563294766905365, 4.439969217917999, 4.235267096666131, 4.267886940562117, 3.8970533321335297, 3.938113199753721, 4.015260318193412, 3.872159774568277, 4.09123391420693, 3.96600832000443, 4.496475340891613, 4.630994657899338, 4.709609782306491, 5.137003939445886, 5.48617831583419, 5.545110771052793, 5.944786034071351, 6.475007978374178, 6.680650898588042, 7.041995925912143, 7.314131609762077, 7.6828694525809045, 7.90358722077124, 8.088137699753378, 8.05460840743572, 8.474277100750939, 8.584018285800436, 8.441309485832539, 8.454644860278036, 8.582510020449346, 8.462573952687894, 8.113528987649506, 8.055123254618824, 7.95733326068334, 7.7492027490070345, 7.351009042486255, 7.100865599247672, 6.718516530721154, 6.621085943797098, 6.1867091802686405, 5.7883025981578395, 5.437364301263353, 5.14291150820638, 5.192228682832372, 4.765718849415097, 4.550647568815668, 4.4165927053571705, 4.265411914462053, 4.253939993113932, 4.251558711998748, 4.2807301147167465, 4.231382271792134, 4.571052550628214, 4.593971790635082, 4.7907676814270586, 5.02929595503069, 5.268167337414166, 5.698983500525221, 6.079374663315598, 6.247563293512131, 6.47101662879656, 6.886617893588597, 7.2701170969125215, 7.502295637694642, 7.854518474369408, 8.120689399958284, 8.40286405493697, 8.449929406705515, 8.80300611414598, 9.016213427874685, 9.051650742841218, 8.861375512578952, 8.95004413425011, 8.854907818456113, 8.667477096337414, 8.519608685802151, 8.362198793077395, 8.140710847977358, 7.70147327822448, 7.565359745207316, 7.349237884716902, 6.953568252623452, 6.6994149021512905, 5.97244755383035, 5.986868045933107, 5.668297773377124, 5.483461945649774, 5.03708871055066, 4.903026813700255, 4.887106003999782, 4.5774122131850765, 4.639435402728606, 4.592450547416018, 4.60122482988524, 4.752098941418935, 4.703227972622145, 4.9002784270480655, 5.168141220185546, 5.301834243142229, 5.816121593778835, 5.90983848070436, 6.384517645895683, 6.547448968917834, 7.040665467511401, 7.143795751733039, 7.772239269923377, 8.057088390958537, 8.179560052122353, 8.416533958860205, 8.776756733776134, 8.773093261791164, 9.082793894432335, 9.107972928822148, 9.226360993879357, 9.202946994963268, 9.155355396410348, 9.326705248239866, 9.110333285847757, 8.718166126438248, 8.573960870900528, 8.508705756935786, 8.25251047390899, 7.726920010528742, 7.628509901587529, 7.268488725183313, 6.728160846270358, 6.5663096462553705, 6.288144098560035, 6.0192101454948235, 5.618642119576799, 5.440242807243183, 5.254737999235676, 5.103001242918224, 4.98682968480528, 4.952922172996843, 4.971610639782546, 5.140249130283542, 5.1195130682719565, 5.279819983344641, 5.259594594238892, 5.4074266562881075, 5.824646012677253, 6.011250723554384, 6.380431519204495, 6.533777881735524, 7.015048566106125, 7.26763012816071, 7.573873047855513, 7.91100538214301, 8.310568207688746, 8.632419761225218, 8.785424709035947, 9.091640857881849, 9.289699328682493, 9.487083613022044, 9.6256237405918, 9.775544978242321, 9.567943215691187, 9.732790903417307, 9.523877078876831, 9.282873437595947, 9.165006407586171, 9.075484237417259, 8.865669219128847, 8.42681290513572, 8.163730369357213, 7.881307723915969, 7.532258135948116, 7.110913750687306, 6.760624179097119, 6.638198200347649, 6.4122680979127855, 6.186467985959575, 5.747511743424377, 5.546236799781557, 5.463671091643462, 5.394816419024404, 5.418462686222085, 5.35934566302773, 5.268473642100807, 5.406444475184639, 5.3975246529513905, 5.644845576681297, 5.827654079936352, 6.207766183991862, 6.382302119641633, 6.548184162950853, 6.862196232058842, 7.232133501216995, 7.443616419087903, 7.912180649040132, 8.249495017261415, 8.625946432605723, 8.93617068598952, 9.154642334853174, 9.220117653785916, 9.463064610007756, 9.686280244908307, 9.929951469543157, 9.998484518369509, 9.93622099562082, 10.17394352665694, 10.023868710040865, 9.876042722565236, 9.663677818442192, 9.441782568365769, 9.201923127538352, 8.72052620535671, 8.509528268312499, 8.288282184158394, 8.007958902993314, 7.663100373244478, 7.3857998846112185, 6.840817096390232, 6.8105316170383245, 6.497589710255841, 6.232504674824086, 6.137583759216544, 5.7721817465891005, 5.726945939289529, 5.697841948133863, 5.549622495221616, 5.447773837437318, 5.593540790308987, 5.809543061792928, 5.942613672535181, 6.158475525755896, 6.32452653378271, 6.522032260170134, 6.957010071041794, 7.2379693886992165, 7.644543940644401, 7.840206919541134, 8.048259805756034, 8.31947725347943, 8.856740088659356, 9.207471754479169, 9.443924833947888, 9.652186328806163, 9.755223426519551, 9.891007206254795, 10.238831069843345, 10.255660403782066, 10.27109357505203, 10.134557865811072, 10.126225265653066, 10.115878425818101, 9.985282112160244, 9.74623469611845, 9.671098348174212, 9.215855631184503, 9.11772378093953, 8.707959841982198, 8.382523501177861, 8.145445630439756, 7.672260954650489, 7.39313934103444, 7.010716751368245, 6.955616587912201, 6.652604369074204, 6.51905379389053, 6.257865825051044, 6.217491451006166, 5.946902159304534, 6.081421160883473 ]
[ -0.03978149274536403, 0.38137394423868903, 0.8231049130517559, 1.3286301469099961, 1.488989288171236, 1.765322206557179, 1.833598972473523, 2.058648824372646, 2.1238036026588163, 2.2972951689512757, 2.0969312581395037, 2.132513047413534, 1.6941259842351803, 1.730632233232419, 1.2200537597905845, 1.0647273882371007, 0.5338024582993379, 0.30176670444814446, -0.24612246959685447, -0.4335005428091543, -0.8254731560241236, -1.3170036722517175, -1.5094816947843437, -1.7367875984146592, -2.1338906434153504, -2.294361707825604, -2.382342464865394, -2.4131099904992426, -2.3479671476815662, -2.030097167262715, -1.886461519240453, -1.874697232731007, -1.4696389153461618, -1.207634456752329, -0.6489116345604641, -0.4044437023481942, -0.13133695991409872, 0.4176889115633751, 0.8220083418176688, 0.9984594682090652, 1.361132228517, 1.5432467802621035, 1.9480559141956777, 1.9089490581544541, 1.942489926552494, 2.004219323573034, 1.9154103906823243, 1.8661200739505235, 1.7184729581276197, 1.4634331530524491, 0.9995235366453612, 0.7266247645077347, 0.4756224188033009, 0.09375815373696281, -0.5367435590447129, -0.7726207233098489, -1.1529159326001652, -1.435506037570362, -1.6959745156802566, -2.1669409301270477, -2.3173113564290837, -2.280129551269292, -2.412286123326917, -2.637935639387292, -2.5023744580199656, -2.1250267457860863, -1.902526116340401, -1.8626445218891725, -1.3133091246244408, -1.1023306575644622, -0.8188255652590977, -0.3926452181992141, -0.07693879687736851, 0.3556862494162537, 0.5806333613224162, 1.077677721613394, 1.418608053931261, 1.448619467209983, 1.7500912472064376, 1.769261032782287, 1.9509821168099264, 1.6188873941190325, 1.820524249732697, 1.4023695560623248, 1.3387815326038293, 1.012192977674315, 0.7264881257839582, 0.255106184779416, 0.19646486066372268, -0.4872567894531059, -0.8678949226616457, -0.943690423080164, -1.4428837283598088, -1.9176724005735601, -2.07758779308818, -2.3077596390200004, -2.612738600313021, -2.615045888193397, -2.5697204202659742, -2.400172803693155, -2.4386710961393936, -2.2608153396610864, -2.1027362407468533, -1.6327226348737018, -1.3312884212076823, -0.9900086584054748, -0.6844769301935784, -0.4732623318348641, 0.17448493700073836, 0.4358278085758051, 0.737118230157697, 1.113684050208899, 1.345620003421188, 1.4161162293958653, 1.6299291201089876, 1.545268948982897, 1.7502361352819733, 1.8125827717473437, 1.3717369970728321, 1.3735515818117674, 1.1803970907682004, 0.8990821014566615, 0.4068505394052593, 0.005724812336679458, -0.326575543579005, -0.5390809212032439, -1.2138820450585963, -1.531896017540081, -1.7948577729677795, -2.146124698486023, -2.30399956708612, -2.3536572741035804, -2.7488185266283867, -2.7104223785615598, -2.6960071087529225, -2.6602222721989106, -2.650620385256924, -2.3612936249086784, -2.110638993929386, -1.686265749400304, -1.3723082885602782, -1.2068438389659062, -0.7118904411286263, -0.34074929725603365, 0.2791607782158158, 0.46753599740885243, 0.6542248978750189, 0.9668183794152994, 1.2391324463048552, 1.4883221953346686, 1.6127206927469047, 1.629857687658749, 1.5663144072092519, 1.4836539706231624, 1.3294823907503215, 0.9490729777603516, 0.8526462582307194, 0.4871218267559334, 0.029939986185332557, 0.062444743403714115, -0.5361925421113136, -0.9554582631273227, -1.3728012032032981, -1.6193952838059105, -2.132211294439242, -2.3277067831454925, -2.6203972694072526, -2.6230620593701666, -2.884056276676788, -2.7303566360486466, -2.821370865176798, -2.6378176381823444, -2.515083985753453, -2.2300300140194924, -2.1583720142082483, -1.6597576697748628, -1.5885115932615035, -1.027284086541015, -0.7045909747819297, -0.4098999039050588, 0.008755589716242088, 0.3770461434655093, 0.7291240868305507, 0.9589376799357052, 1.2287569427995733, 1.2871289558328092, 1.4071427814340383, 1.4431459637851214, 1.4393713694491412, 1.3885040584387296, 1.208327706006982, 0.9084353245222287, 0.6391119968826737, 0.2972033221014778, -0.12684187548806847, -0.38691808805125505, -0.958479538166771, -1.458346206879315, -1.7287254538663896, -1.8284340023418295, -2.3049995800680443, -2.5078750338113447, -2.7676748653548264, -2.8280097903333785, -2.9555503602894757, -2.9801547943596054, -2.8546078695879555, -2.8391615007616737, -2.5698687047305944, -2.382795145419394, -2.0857136949170028, -1.8270297685678143, -1.407891508692168, -1.0637533767315546, -0.5140111587079814, -0.41884422520792125, 0.19716472849803934, 0.2633243394433562, 0.7814515011118041, 0.8852675122007357, 1.2106900291621931, 1.2647724384583692, 1.1904167706132223, 1.4582668127279725, 1.321061873329321, 1.1492841747973983, 0.8294484426279369, 0.7143330149016809, 0.19783344899804842, -0.2410468305254927, -0.5457379857444384, -0.8682842777849593, -1.241603083028756, -1.5910810542710005, -1.947816350466975, -2.303519208415531, -2.73837919298091, -2.7453538447667563, -2.9711816298390645, -3.1313428994310306, -2.97222816947216, -3.118450413616604, -3.0031390013214807, -2.7794905948961603, -2.798252049531698, -2.388468678142756, -1.9989463912613863, -1.7440776826100066, -1.4975673512928693, -1.0348687453703733, -0.5861667667014354, -0.445239241244405, -0.02198763637549056, 0.6248411966039437, 0.7466434900378669, 1.065178396279608, 1.1631406292043072, 1.211530044715087, 1.1696986124514404, 1.1990498213516787, 1.199208328991945, 0.9662102615867739, 0.6711276153621787, 0.3563567462382646, 0.09953837896802331, -0.3604607033699121, -0.6364665406699924, -1.145593044327736, -1.499105726534826, -1.9408883552138598, -2.2314619281874877, -2.5694440859866967, -2.6000504049624618, -3.07322650832485, -3.0996402400246454, -3.3222899982985257, -3.2448580256340276, -3.174406746966947, -3.2758187697851295, -3.0548721705768767, -2.7776271889914743, -2.5295694784059073, -2.066869216163817, -1.6961923985305116, -1.452225459882047, -0.9510286642808619, -0.627463104698545, -0.23257338950843406, 0.049606686848514825, 0.45839470693400586, 0.823045576958158, 0.9317613290593644, 1.1271170182293706, 0.915350571695733, 0.9880926438380656, 1.0442726438188628, 1.0047116642090979, 0.7231509234191544, 0.30376965339393647, 0.06298085086063634, -0.19918036013708712, -0.6165537405693404, -1.0648198651529774, -1.4042613458290207, -1.7603927077379304, -2.2327604719367935, -2.361500854813541, -2.799640666151359, -3.0096306611126242, -3.088975411421781, -3.332709144986992, -3.283670073370889, -3.4780977156135604, -3.257651171523922, -3.077509107677095, -3.0441061693398868, -2.7241671706784074, -2.42088470496807, -2.0460032953398732, -1.6550360254670191, -1.414338394635272, -0.9469929310998235, -0.4087000282824495, -0.11008772319490442, 0.18438868808539188, 0.3642430851077953, 0.8241767083635672, 0.8841003927314667, 0.8913380388216975, 0.949335397836847, 0.8529744974519115, 0.8423936076488091, 0.7020527559386729, 0.49305289101152094, 0.13184955870558077, -0.31488024480699917, -0.4955614039702091, -0.8252577103570095, -1.3823759775500077, -1.6826088861695656, -1.9168269696383657, -2.525592877328275, -2.753816245648289, -2.8530133786536767, -3.2098543836922753, -3.442896148947645, -3.491435888547913, -3.44134335722543, -3.509339400073233, -3.327342095991499, -3.1980585665912113, -2.9659205794185404, -2.6562422142218227, -2.434023268706782, -2.14851640905164, -1.6345504976635348, -1.313245873844949, -0.9649216741568574, -0.5016008126383131, -0.08615500932364778, 0.07477630877522219, 0.3493996387691799, 0.43474207224481504, 0.6745819354428845, 0.7978858531926031, 0.7850172578123593, 0.6940793775781176, 0.6796868406463266, 0.4269973684510898, 0.4371192218817978, -0.09356202070855277, -0.7221927936960593, -0.9223467176678183, -1.1407367532951362, -1.6485032115337055, -2.027920874276105, -2.4628751471470895, -2.727947308923854, -2.963875230798189, -3.200046870546919, -3.5405287003696553, -3.4963558305607143, -3.768655850331038, -3.610471928297484, -3.557409314805501, -3.5555776054977506, -3.376812896398086, -2.9869525185784696, -2.7870099565780317, -2.41731939500852, -1.968659146381915, -1.6118203502853479, -1.3687523966000628, -0.9070396841858154, -0.6385736423888495, -0.13163404206553136, 0.22111982356318505, 0.219659658871924, 0.48087776773987184, 0.6929781705282295, 0.6545375863922407, 0.6910963340087255, 0.5552952266449358, 0.2945206379238482, 0.2015809909237321, 0.03775281785576659, -0.354250380652454, -0.570512871826561, -1.283049702506665, -1.4553505857474345, -1.9478219600219957, -2.350757799734675, -2.488630227819639, -2.974112366783588, -3.267932730331171, -3.431495482500306, -3.85595921581234, -3.6165360461407228, -3.6060134243660356, -3.6812350353628065, -3.6405502485629424, -3.5480719383450774, -3.419213418201487, -2.9249734244248926, -2.641275836947778, -2.3420771636080073, -1.9844276244054375, -1.606560395881054, -1.3081435312013043, -0.6364348506834514, -0.5697827447786878, -0.27308535351530805, 0.14813990548272418, 0.2469343575678129, 0.40224482189127186, 0.6354864541506182, 0.5844573584278485, 0.5439638391038716, 0.21683481136786936, 0.2227781410351087, -0.1518336065014303, -0.381726573298673, -0.6458322984548398, -1.0263461547307293, -1.337736045084331, -1.715912694964347, -2.0956321851841797, -2.6872939663831645, -2.6632810327480905, -3.2120104615162877, -3.3520760661336184, -3.9343434626835476, -3.858316523494672, -4.061541601309369, -4.01763467756432, -3.8744233884781116, -3.7946280165640385, -3.4489180913743764, -3.1658232012174214, -3.152552940789316, -2.777578110827834, -2.4749185672664265, -1.8805256893719198, -1.5976184962652866, -1.2328159959284486, -0.8443065538354817, -0.5744829072239466, -0.33558431624373497, 0.0005928481968670027, 0.15845535873008137, 0.34775350034239405, 0.2118772915366986, 0.3878158611243137, 0.2265049557640676, 0.17112847570500278, 0.04561107059715, -0.35675449060722053, -0.48517617081945125, -1.1208035815961526, -1.1618712673642118, -1.578206598691957, -2.180912999968891, -2.5626552223229577, -2.9875089266937116, -3.078482771124718, -3.4954712007698943, -3.7448630072564173, -4.001661434431498, -3.830283802007346, -4.164388006211264, -4.052244832773564, -3.9530394615526285, -3.869512171486451, -3.6844049905733356, -3.4020802648042014, -3.003805588778488, -2.7541751068555835, -2.1907113021612266, -2.05094044883228, -1.5159090396887511, -1.3951520445235945, -0.9471889612962321, -0.6339065702996913, -0.3882310380940657, -0.026490538593726607, 0.09865490709021096, -0.01742388492917174, 0.4438177181380182, 0.227520340680848, 0.10848895694567359, 0.07367221017183495, -0.1832937719968213, -0.5890936629674088, -1.0753822452704103, -1.1784460997981565, -1.708908863280677, -1.8777951240707236, -2.467811667889409, -2.8112701888312546, -3.252133735930418, -3.560801926828742, -3.7175297576237405, -3.945849861087027, -4.13247428940232, -3.974273864596957, -4.146500914748344, -4.165003980770581, -4.334185345272566, -3.8050270927975065, -3.359460887004498, -3.3984111845630323, -3.139565598297382, -2.689382186758425, -2.475449316950658, -1.9038218862271306, -1.4208594540695465, -1.2738725270550932, -0.933029079616675, -0.576626796196359, -0.3648430846836745, -0.2666053127837904, -0.015457340231094838, 0.037473113939285194, 0.23821166115087455, 0.15446349904065693, 0.049843226675350516, -0.20082698837277874, -0.5080058823298292, -0.9125025799008385, -1.0287198380644116, -1.4922756861430764, -2.035780088849661, -2.392665095075065, -2.8123140375590676, -3.258320305894548, -3.352660079366488, -3.81450721106862, -4.017148272409773, -4.132449143229497, -4.287908927541467, -4.407247343941503, -4.182833274142842, -4.418410171327954, -4.279560146741741, -3.889681205586534, -3.7472916418642366, -3.4533053764982773, -3.159059897022833, -2.6545425301479404, -2.287238649878339, -1.9154540750759035, -1.6113650128965236, -1.2737735277406472, -0.8916206057507285, -0.49651308617805745, -0.20431617009271752, -0.0754064498514218, -0.02437206627767275, 0.06828401644722065, -0.17121826702064172, -0.21499737850496348, -0.2465827104538838, -0.5263338863305093, -0.749773049370308, -0.999847165650174, -1.3652707283944538, -1.9314979666096184, -2.209258973785082, -2.6919326730580915, -3.0563634847073278, -3.506213593038156, -3.645007989524153, -4.116899921148277, -4.127286515450865, -4.200375499090922, -4.38879753383689, -4.475178640157681, -4.2973054101223305, -4.321275337247585, -4.279578571361842, -3.961210204253907, -3.5062489789862283, -3.4966230242748315, -3.177067697833876, -2.6067673178525803, -2.309024154711092, -1.9593257309512768, -1.6646488669208113, -1.3909914684725768, -1.034295352225869, -0.4649318945620986, -0.4184585845948231, -0.46494362625976166, -0.0661729533226632, -0.04444658074227478, -0.09646636685755802, -0.37973309062106364, -0.54552850871572, -0.7436146394687712, -0.9062602731086121, -1.432232084201114, -1.8137947671974992, -2.050505082729708, -2.389222607086362, -2.901846694811627, -3.2003893563364816, -3.600086229729484, -3.9428091226377617, -4.260014391498228, -4.496974765680356, -4.586427379319697, -4.700439418515237, -4.584586017219795, -4.433303814596331, -4.410724280294972, -4.337178785393067, -3.9173748746273893, -3.6825010908758955, -3.332616638807021, -3.0749644585254057, -2.532923341132796, -2.1508093338154786, -1.9055780416791528, -1.4568494187745575, -1.0893247363872736, -0.9564037707724535, -0.677123259510712, -0.47650336424751305, -0.4719557177306786, -0.26182994052100506, -0.215564222189343, -0.41177506909647, -0.508365919655189, -0.6084628965961203, -1.0495256582426562, -1.2804050062048764, -1.7181240668718498, -2.0922541741714697, -2.385013295449847, -2.7850776154042736, -3.135062632342146, -3.543911325859204, -3.8344668435816343, -4.00225304340036, -4.300175836793793, -4.551966340475551, -4.651759917532853, -4.78189340863129, -4.74955333986334, -4.598588892655826, -4.488627614543455, -4.20780365030748, -3.8969256098911953, -3.7254647392536073, -3.572701706059542, -2.8004921454320217, -2.6884905598270707, -2.2222122362474037, -1.798608008718183, -1.3828680869345575, -1.029278998391153, -0.9759765594204953, -0.6024423894110846, -0.5424554705608203, -0.19286434960189885, -0.3292366942039941, -0.4972774463577441, -0.6661063235253457, -1.020530565086577, -0.9200792453345586, -1.1679565309784974, -1.518461785128442, -2.1855442974822825, -2.4551983890286717, -2.6708354344785037, -2.9282174603953623, -3.486566217765, -3.7209696578255884, -4.246804688916802, -4.390403322444894, -4.652636306342196, -4.660229999001252, -4.921891455863489, -4.721579748803907, -4.873334516531754, -4.836313214997496, -4.656843732290807, -4.38206074556985, -3.9994632046895933, -3.7732466074190483, -3.4392559323325376, -2.8935789383560433, -2.921195970748023, -2.2647540438060183, -1.992943540864095, -1.6115762383961738, -1.2035256426297423, -0.9989329366451325, -0.8136830081198213, -0.5322615338395469, -0.5852825266525021, -0.4038577728157879, -0.5817240494744828, -0.8840207270496487, -0.7902132930117209, -1.2079663309058197, -1.3489156308711152, -1.9019525034722258, -2.2158801057860624, -2.584842231222343, -3.0351530619094107, -3.274757025411155, -3.5738068695812273, -4.3317969218562045, -4.316323823571125, -4.73350367940422, -5.092939284574728, -4.909142049901248, -4.969846277801741, -4.946659523072575, -4.90277721347291, -4.712339832388578, -4.659338732296749, -4.3174855552609746, -3.9724376704217477, -3.568542127157798, -3.33482882949536, -2.9812198742748164, -2.5831602387671255, -2.3239666091561735, -1.7755112279141572, -1.678037765609274, -1.2150846639081536, -1.0184102449034327, -1.0126519027473266, -0.901021625289069, -0.797867664520951, -0.7758996672713165, -0.6898172755492527, -1.0097739235145462, -1.1644799111986646, -1.365753467042842, -1.7028602473055459, -2.163360625811188, -2.609557087934451, -2.8777563425675727, -3.3851565242705544, -3.5124197388081733, -3.9611500637279327, -4.346928094580828, -4.592408136542096, -4.849273782705547, -5.068082985676269, -5.081271605210882, -5.188052475866011, -4.934577877814575, -5.095077231051117, -4.808869327348455, -4.713629675175465, -4.439045111668027, -4.220164440878209, -3.64970428099542, -3.371890480667222, -2.828287750301313, -2.5154707083857084, -2.176273947550576, -1.992057756247101, -1.4887401675989334, -1.3555462716079234, -1.228734617000484, -0.8989966742326172, -0.9895319466936379, -1.0620831498372616, -0.7805917595829714, -1.0901158162103963, -1.3949029705001967, -1.560121143926917, -1.828920721257973, -1.9759009280987765, -2.6204304933405163, -2.9709414590795094, -3.129245565367856, -3.6577953813557915, -3.9589936812485327, -4.371923672155208, -4.423404799008469, -5.009358240442312, -5.05159161412754, -5.067327250364818, -5.327179808405352, -5.369233933291965, -5.153428152666998, -5.000221553273874, -4.989462790634311, -4.516516259399698, -4.363089258113529, -3.984301670411412, -3.5252837451142116, -3.219483979939077, -2.9138204388034628, -2.605588732185179, -1.9112066072991298, -1.9347825656550193, -1.5383513252500753, -1.28291320604812, -1.0988605133869722, -0.8250967258666243, -0.9828245250193901, -1.0148317606667032, -0.9354690383341739, -1.2547494214499713, -1.3645552824814773, -1.6978055114836195, -1.9361991957694173, -2.3032153020740913, -2.789259494503772, -3.3207758476385734, -3.6935005370504035, -4.090190215017295, -4.2739225815612665, -4.826289452492183, -4.890797324768582, -5.094034633059177, -5.19612873872245, -5.342077903186946, -5.346191027770155, -5.370707157069107, -5.352899021807532, -5.1752861158181735, -5.0346574548344405, -4.658963834037965, -4.528391100464966, -3.9173030099782724, -3.750118824723451, -3.2578547495204835, -2.860073489637967, -2.4071022112317255, -2.3464055827307058, -1.900362924633256, -1.5467479909973523, -1.2133127559137518, -1.2385478080286794, -1.204770629406263, -0.9206428333347624, -1.0892293709947276, -1.145088303879935, -1.5798005932243464, -1.6411908216522264, -2.086983702663984, -2.436638499051736, -2.607499340452375, -2.9810636547272225, -3.484302573763273, -3.680037750032901, -4.2326501797684735, -4.569154295104525, -4.855415613034654, -5.139498377300786, -5.196535112271126, -5.576771585303518, -5.631164322808019, -5.69032250096781, -5.330243665413278, -5.432177666618047, -5.295240723205597, -5.009075071570359, -4.608208366718309, -4.2993737262596845, -4.06607140491625, -3.672710415116641, -3.3956989031509686, -2.858899499772652, -2.384235780174227, -2.2387414063256763, -1.8239205409374417, -1.700726827501471, -1.5629080601746042, -1.257959366972532, -1.0297633163127422, -1.2166543073722662, -1.3866964768933099, -1.520215715483547, -1.495749392523729, -1.9126356168412628, -2.3240050195826196, -2.5957925099140393, -2.937767833847595, -3.29824922164127, -3.584150708667086, -3.990228895349142, -4.460964132051999, -4.817243143281174, -5.064921871987169, -5.406948010083046, -5.432510973178846, -5.6724144327906965, -5.658039679737396, -5.522781236440304, -5.558241407547689, -5.44493146073496, -5.3139295662512955, -5.010416664853323, -4.811054472064128, -4.303001051091112, -4.203388754118581, -3.513016741203505, -3.154807314984776, -2.8464850437470197, -2.5598200839566636, -2.1912447430990087, -2.0929821966660644, -1.6106616207163664, -1.545428930065888, -1.2772900835070873, -1.3563794782881418, -1.4073520385515843, -1.492502647959994, -1.7963798074603212, -1.9692383731556975, -2.1883456591893156, -2.5530791222432394, -2.9354674626525856, -3.283940023862042, -3.6404296225062076, -3.8013859240083026, -4.441531943392753, -4.828217834186332, -5.092167769217368, -5.198372170380086, -5.409747725543313, -5.530884163155172, -5.813828106154809, -5.782484706355619, -5.91023975730236, -5.732457029129338, -5.637261397704525, -5.249280003471411, -5.013076370969271, -4.672886886857028, -4.427106792608953, -3.8838867103075825, -3.827353986978887, -3.2327845307327787, -2.85432000081025, -2.7084702607828945, -2.167743025976468, -1.969973630802243, -1.6976758326295132, -1.4158978111935727, -1.5108725609220641, -1.4412598038946596, -1.463627314495379, -1.6818763506889671, -2.0092793058687235, -2.334737776849245, -2.4301349629000497, -2.8441601833638, -3.0416983258492873, -3.6015965285102793, -3.94581883457124, -4.4448523908258615, -4.730316732276123, -5.128324498535769, -5.418031053102876, -5.588552653783016, -5.838243754637419, -5.646874098153845, -5.892426335098596, -5.865801550354778, -5.915810459474105, -5.759089625538043, -5.616375521009042, -5.059759908770946, -5.0348287652856065, -4.74841954706429, -4.400470340049722, -3.912891592510513, -3.421907366999858, -3.0811353487392688, -2.9112805491035236, -2.5906884345086816, -2.1062090004213596, -1.7891171331411673, -1.8396741079579073, -1.5934625693265123, -1.8162902542203299, -1.7776975181688868, -1.8854591147303734, -1.899207307760386, -2.1743009550484826, -2.40201673319203, -2.618525522504476, -3.155888498434196, -3.4560613481474585, -3.9873572245824955, -4.126552917398263, -4.511932009329982, -4.941644687807306, -5.288758133126528, -5.631319704529971, -5.947770259699767, -5.946663459645511, -6.0066553025042495, -5.918303551411381 ]
81
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave" ]
Trend refers to the general direction of the time series. Are the values going up or down? Check this for both time series to see if they have the same direction of trend.
Similarity Analysis
Shape
486
null
Are the two time series flipped versions of each other despite noise?
[ "Yes, they are flipped versions", "No, they are not flipped versions" ]
Yes, they are flipped versions
binary
[ -0.06839516296981926, 0.3393945735110598, 0.4644953938644715, 0.7615236658510826, 0.819285994090077, 1.1766732029476814, 1.4149868395792682, 1.7349385196399494, 1.61162602169713, 1.9937212382972418, 1.9072154109843868, 2.0324974673253244, 1.9758347490876256, 1.9328649829559412, 2.1810835481228055, 1.9571923191153815, 2.002079681453827, 1.6952447919765503, 1.8251878184722794, 1.525340824492708, 1.138555297807799, 1.1456423547723238, 0.8258514055942452, 0.565613350231111, 0.18951917560764858, 0.01332285485473321, -0.0037760890530820213, -0.3909148344893002, -0.5950448065138187, -1.0123921545301973, -0.997127478410808, -1.303759927775825, -1.1929872766103229, -1.4350951136400196, -1.67838690751529, -1.6262654327304775, -1.7709091695206995, -1.9028159271521037, -1.8602595443178125, -1.7120172402447282, -1.778486791468857, -1.62705791434311, -1.6792422108341103, -1.3704585717030928, -1.2639729242965851, -0.7931081878790773, -0.827750431345149, -0.45105968164043525, -0.3194497825661411, 0.1247061828846023, 0.09547950819904713, 0.4900261819371728, 0.6683600300473773, 1.0956948324034106, 1.2047183236000834, 1.530639897484724, 1.3421950434693364, 1.7163554996810946, 2.1241126007917313, 2.2647392240614512, 2.073580753238667, 2.2900072257193216, 2.34034684600361, 2.129785835651018, 2.1598893181123806, 2.0729139943584265, 2.1802363010734713, 2.1180310589663978, 1.828581375138432, 1.8627962647248562, 1.4707280069996982, 1.3709807511003023, 1.127362145891068, 0.7929759324374263, 0.6055727616433371, 0.19881390644328653, 0.1904185270298188, -0.23977894619746318, -0.1353905570013494, -0.3833891115264449, -0.9841424047411116, -1.0401089760782518, -1.083000561019415, -1.3175576503010422, -1.4276483104581552, -1.4452097293753565, -1.5431451116752146, -1.4377846579055433, -1.6195235439207443, -1.4386794095999185, -1.5985588736578114, -1.3907699950214214, -1.2539504777357655, -1.0458782921871397, -0.7534913307158443, -0.835486404806376, -0.7365825310543498, -0.3404340019200384, -0.00691978565412435, 0.20932838721121205, 0.3659804142984178, 0.8393136522808644, 1.028025555683131, 1.0929637600681876, 1.5752448913142298, 1.7253558647651888, 1.774758396007667, 2.015486779187085, 2.194616690247996, 2.285960444441446, 2.491013639939156, 2.4766083119134823, 2.5852384136656172, 2.6559525068525898, 2.4612318610585837, 2.6281250591057925, 2.3586602068384455, 2.38833263783912, 2.1836926610842595, 2.047021430816975, 1.698887076379472, 1.4856104632102358, 1.3380506363685567, 1.0384901505033863, 0.9560792882141841, 0.5927452033067884, 0.4508236270459658, 0.16852047857800018, -0.20649248487745564, -0.10375344697530411, -0.5072275235707532, -0.6972197044242829, -0.8662787514572478, -1.0900856658886453, -1.0618200253968313, -1.199906204536668, -1.2661665105813136, -1.3431705757836894, -1.3509827027372432, -1.2425269033142523, -1.2462526508308198, -0.9991529232840799, -0.8699876416087258, -0.7312847199691896, -0.6882055204082409, -0.5141668064114437, -0.24790200871285292, 0.1578346406318303, 0.03851307999933545, 0.47776935413844107, 0.6358675182821909, 1.1080188240226254, 1.4192573668639705, 1.5178665940931972, 1.570487740042133, 1.999865924350584, 1.9283330651285546, 2.395041596120418, 2.456953088242177, 2.7751628266806336, 2.498253294082291, 2.6865623322494483, 2.643509959536516, 2.7110624829539653, 2.8048008391294776, 2.5155285156935014, 2.478645104995718, 2.537675810065197, 2.4102866537882974, 2.2311282292066275, 2.105249264013697, 1.8296787234837986, 1.7244589950213935, 1.5377361236339802, 0.8526461422045193, 0.8950519289595806, 0.6706454486531868, 0.3755681856159457, 0.1272148260175162, 0.017250740091929062, -0.3255839405492802, -0.6049996023285638, -0.7233138371829845, -0.7558542159139358, -0.8095331429451732, -1.0491872079898337, -1.1800185027205878, -1.3686702907778867, -0.9300694766504158, -1.1545265869042376, -0.9978536561065013, -0.88790138592295, -0.7532347563136882, -0.4137127017901039, -0.3411019580094193, -0.1309360280884324, -0.071793571263812, 0.24664959599559325, 0.4146788380292318, 0.5541972616805295, 1.046283374727735, 1.1352176913907963, 1.2996340038122172, 1.7246235841776263, 2.0057124689797576, 2.344873922147206, 2.427801631629478, 2.756383831405221, 2.840038832450282, 2.888297855194002, 2.9720373395734936, 2.8714964668891607, 2.9723808562058727, 3.2271073760597733, 3.1337572021535323, 2.8380804436819704, 2.8759796954415915, 2.7894798799769758, 2.455390892904154, 2.5452334240069048, 2.2802999177063663, 2.020619972010539, 1.8367960891391113, 1.5486088157192608, 1.5136566547853243, 1.1730824922003953, 0.8912765188302091, 0.6577473545547144, 0.14487000312574877, 0.09674871422446404, -0.08123580642090751, -0.4876464443250612, -0.31534976821780225, -0.4781981656962736, -0.8112785665212361, -0.9199876326482068, -0.8366150416756842, -0.9909727851271575, -0.8525197552813523, -0.8293832565407865, -0.7696919381057462, -0.7018764345799868, -0.5239702250355839, -0.2862031874609849, -0.3330459237078316, -0.07698481626021168, 0.19990249450076314, 0.5250532687832852, 0.6405100067910504, 1.1699751638130977, 1.254952805826046, 1.510614626982188, 1.8352124460093047, 1.9889715129000254, 2.2818895043759584, 2.2713413790569437, 2.607856880062013, 2.842114015874073, 2.977079633325328, 3.173454974255031, 3.393503164988178, 3.4109642274171152, 3.3117484060681375, 3.3503304316889193, 3.0998771147367585, 3.1095240622732434, 3.128114917029857, 3.0411374608315325, 2.805644966560268, 2.727626320487113, 2.5208741732621003, 2.318443894163628, 2.04020091670939, 2.057904380938861, 1.569298033853159, 1.4281037439552244, 1.1078511198323915, 0.9886215285938754, 0.661640877716133, 0.516679953096692, 0.18864750522117762, 0.008745502991437063, -0.25627774936226466, -0.21158301116023714, -0.5144361385969578, -0.6587044480671308, -0.538341240307883, -0.6451387293188213, -0.5933591134065668, -0.5321460014749692, -0.4778598462766488, -0.424817807986208, -0.3566345938219645, -0.0000954109734299935, 0.06898989660395267, 0.37362913675342335, 0.4638164750596005, 0.663197743114088, 0.7558746725130022, 1.0896822345793544, 1.4423577576502804, 1.8273446754524276, 1.9168217719860934, 2.052188556772175, 2.3821944015684537, 2.645865923983169, 2.8624961434391913, 3.068761627981251, 3.179771963663617, 3.17960842459205, 3.1807666966065296, 3.5633265864727393, 3.650705818154488, 3.4264598849339283, 3.378092194347485, 3.5523964300618838, 3.2440928812481302, 3.2542931602750858, 3.05529625765681, 2.550083728525226, 2.687999119059501, 2.480924908628027, 2.2286007985185536, 2.1401173210364672, 1.7849363584403644, 1.6779359338649533, 1.291302067759977, 1.082651594327857, 0.7765679290156727, 0.7187988373747806, 0.3215808238751388, 0.2328676012789054, 0.07560873981375046, 0.09214343007478676, -0.19068548644626357, -0.30239914789753386, -0.07529886112051143, -0.25545357451600914, -0.31940582416856905, -0.18245769968058193, -0.20722087720932936, -0.2540222714312654, 0.025704307324983536, 0.0924976459971134, 0.1766578675938419, 0.4693991570179871, 0.893887635993236, 0.9968766195020466, 1.124908405561915, 1.5021533913895466, 1.6663844310106322, 2.029296928963903, 2.1949180900092755, 2.355287201300653, 2.6803295031693275, 2.9130386359696403, 3.25666966624008, 3.258035589859496, 3.511248574710608, 3.512740829170689, 3.6724803878368175, 3.770557068193049, 3.6328572147193596, 3.8977004877578265, 3.842496514988132, 3.6417741110622273, 3.628198192378544, 3.4557316471371715, 3.4256825032609393, 3.110423429711497, 2.9035588023346026, 2.933599362090144, 2.53635224561589, 2.256217948580702, 2.043390322895022, 1.7320781247048924, 1.6163384507618295, 1.372326632039959, 0.9832570449077453, 0.9982251619882864, 0.7481975469427327, 0.4917868179697627, 0.287211711247083, 0.18617235044339642, 0.23529111930440463, -0.10547345301406076, 0.06148534515302587, -0.05612177333930597, 0.04450824227523767, 0.042862641296210494, -0.17888132389797184, 0.11187105810618386, 0.23305403970013222, 0.49751804715050396, 0.6091653988895891, 0.597024454129154, 0.9015940251515531, 1.3077658442065743, 1.6132140987559787, 1.7755571660260545, 2.01184863967165, 2.221361158824927, 2.6246139924774825, 2.8763732783572147, 2.850491938873387, 3.2064628346353055, 3.494540498658899, 3.41398368607497, 3.7173728617442143, 3.629828580605885, 4.088968559446994, 4.058858922994572, 3.8267631622909923, 3.995278691290559, 3.994760431459993, 3.9493681610738545, 3.8007404258222417, 3.61073099987805, 3.7928792539975023, 3.3749194071510162, 3.305397399604866, 2.893798676080396, 2.7269093342777544, 2.4756898952375685, 2.5167338234647962, 2.047667279232635, 1.8795956910213711, 1.522963846001779, 1.3637525512655508, 1.3003384119068444, 1.0969721649775193, 0.8356749638703915, 0.590567629706798, 0.374656286434787, 0.3011530094677079, 0.178549649755543, 0.12188833665581192, 0.10735989052286213, 0.09508836507366508, 0.07125239040131186, 0.16639351566896038, 0.24343085312511578, 0.2986784933658127, 0.5955144030544789, 0.6737076944600757, 1.0481416985682455, 1.1423434878209933, 1.3661509823467275, 1.7108083024819467, 1.9918431613325114, 2.3159246856761646, 2.366305172560512, 2.7416908518830767, 2.9879391483327926, 3.277070391036489, 3.4007976815461842, 3.486405980972669, 3.9368583186176744, 4.056410269032843, 3.987898791512964, 4.108641574615205, 4.2708509016598315, 4.302268924607484, 4.356932140069432, 4.160828862096707, 4.216037359038495, 4.197204520456193, 3.946887763231132, 3.9600195443347306, 3.653948720099655, 3.606246180727335, 3.2478882044603723, 3.092691658951188, 3.0696741261657547, 2.560765392343677, 2.3494219674579626, 2.0974932066314955, 2.0705220440271463, 1.5160052472958752, 1.4563969519947366, 1.1570466050100732, 0.8254243765060353, 0.8683119506727912, 0.7370986494782714, 0.5448789911732123, 0.5212343876100174, 0.5044954316327278, 0.35000565423550534, 0.5712752878099713, 0.4903471942956962, 0.4750132110039842, 0.7447813499818909, 0.8818728929725512, 0.7994313562730399, 1.1049966669180882, 1.1702476079656112, 1.5532404173518055, 1.8873214407632155, 1.9575622983904155, 2.2109933383551783, 2.311265227536596, 2.580515126748063, 2.996934560267094, 3.02181156494171, 3.3480767470320383, 3.4914092489259767, 3.7280346456662663, 3.9578020789642574, 4.154207323465109, 4.389763005441565, 4.608420016211319, 4.441818682786445, 4.421704701198578, 4.542269829920736, 4.249890244566287, 4.600893113011913, 4.393759531790811, 4.381251784603516, 4.096404284512209, 3.696573464432521, 3.780639273720913, 3.3976443346506033, 3.487571562572151, 3.050255296208914, 2.8050411268562376, 2.7911724262789015, 2.389288740542044, 2.157268838198549, 1.97313713531588, 1.4322122168816485, 1.4786284760620463, 1.2761009956793967, 1.193515418730574, 0.9121420249633344, 0.7601693112018038, 0.5684115027938285, 0.6392570807549031, 0.6291606314489202, 0.6290562657926652, 0.6797471928749781, 0.8278492738065408, 0.9729545809816835, 1.095468581330089, 1.0749549669148721, 1.4384196403859486, 1.4623814393124133, 1.6339766563415392, 1.7969714631878586, 2.224938820516191, 2.437344248208004, 2.5631856644526896, 2.873674085791718, 3.3467378775697245, 3.3604484985116883, 3.700277841791622, 3.8630790832939157, 4.065794896359868, 4.335559335198488, 4.557476247690385, 4.397752944944463, 4.659685663982061, 4.598623586666738, 4.783839409318421, 4.648120091536116, 4.8553129492997815, 4.555685452164683, 4.467670937204071, 4.211250749303725, 4.362603931749038, 4.383326564765152, 3.861986516983934, 3.568134646893459, 3.634820333810287, 3.305896855222919, 2.9039168783475393, 2.900598359974324, 2.6916566057510978, 2.387311011979686, 2.077080703999922, 1.9686255816547757, 1.5161803852552704, 1.4695590674137713, 1.2568759746601201, 1.1339764209975984, 1.0323590244169734, 1.0205199447477242, 0.9246472173727578, 0.8578785192715863, 1.0667071828580255, 1.0296140746009892, 1.0228569155918537, 1.2734762950707397, 1.174396418354734, 1.4643482283518447, 1.7547772313461523, 1.8198215504983148, 1.859796670079479, 2.206856041129139, 2.5210429331226383, 2.8250138219824508, 2.9437628094487684, 3.470352803034212, 3.3471870111120903, 3.6990630969522797, 3.9779218846661544, 3.838673699790421, 4.425165962525935, 4.473417792463529, 4.732698492756337, 4.822108394477342, 4.867186236017595, 5.081858616598705, 5.046861821089677, 5.093140769757836, 5.007309430569977, 5.032197764244979, 4.9284479114888375, 4.603241856972142, 4.700271426027626, 4.491337792112642, 4.151749368194941, 3.862244260371639, 3.9186735742081003, 3.6319263223058678, 3.23738688149071, 3.0637078372204627, 2.8349055391437727, 2.5262835088177615, 2.288513165106278, 2.0907800300612625, 2.0673100657489605, 1.8120780442102327, 1.5290984904179528, 1.5277165667342563, 1.2687980861555872, 1.3076897238272995, 1.256899883723901, 1.1156440292945795, 0.9433132512266205, 1.2139812825974938, 1.2895737275870005, 1.272631690473595, 1.5199873596708136, 1.6529960221230344, 1.7782878768446668, 2.0373304937495242, 2.095203710306298, 2.343797518223245, 2.655088127271262, 2.7492736071879933, 3.1973447239767183, 3.4019656758267263, 3.71875379752185, 3.9018079220758826, 4.039743042136886, 4.504307750556716, 4.559053176030361, 4.700679520964619, 4.926291277503526, 5.171193205337558, 5.210616659696655, 5.1403946197796975, 5.288043889231357, 5.339887351029585, 5.125771943896248, 5.272346814740141, 5.030852423107049, 5.022304847966644, 4.750684965356773, 4.5823361812881656, 4.449565736026037, 4.1946547577290065, 4.056977776226527, 3.659976738338293, 3.677254229105879, 3.280074321587041, 3.015111443105965, 2.8468749893243324, 2.573639872133195, 2.2852446865416502, 2.2796453662306355, 2.0987160428008447, 1.7021404458167309, 1.5640366451579062, 1.7385000724947077, 1.3447889366872368, 1.4404492490709302, 1.3827753900974646, 1.3454014212413705, 1.3169856908341007, 1.5308050614932447, 1.6187989913071001, 1.5556616698160615, 1.7536074513548277, 2.051110986757567, 2.17028315649634, 2.5867192093476445, 2.709178723686304, 2.9119461939792344, 3.2235376555549866, 3.5691026242709714, 3.5973240608491888, 3.9980811110702534, 4.021769234418381, 4.4300271859972815, 4.479543751324266, 4.873964859455531, 4.778528858277918, 5.153962601236176, 5.364436532851324, 5.463287189278925, 5.350691307647094, 5.46038502525022, 5.512439965861388, 5.616311407792386, 5.457291513425338, 5.236102619453685, 5.227925247535324, 5.013939443944709, 4.705351083581403, 4.565370116720777, 4.464265156659558, 4.392011049819885, 4.0299062261115495, 3.7182239203664404, 3.652723884310021, 3.1429403498097015, 3.279768688063933, 2.807360741426026, 2.5498051850589856, 2.314970992511044, 2.140735450981977, 2.003475355847227, 1.9661059118320472, 1.6872856528272964, 1.70404090740615, 1.5101852391673747, 1.4942465060907595, 1.6239574216501456, 1.6433255152907222, 1.7632283028411704, 2.0618063784796723, 2.0222402659896437, 1.9735344508807702, 2.2437154771379695, 2.57029847281514, 2.806521333686362, 2.9284243900231557, 3.2961732567810254, 3.3762370429432496, 3.5758651444121616, 3.8153290697668636, 4.024095576440062, 4.427812276069245, 4.723397424022177, 4.7742422648611065, 5.016208046309343, 5.242799776925913, 5.271713258651575, 5.502389423699961, 5.8140143718501, 5.580014348476614, 5.677242286068974, 5.593799122966968, 5.642360098845113, 5.5054413083214735, 5.565370821889029, 5.325399640841395, 5.3485869693077435, 5.0812151430679044, 4.900694567296763, 4.90279017567453, 4.52084463562375, 4.276267855927939, 4.00684642505813, 3.79335513065482, 3.487950491266778, 3.161731170011165, 3.1536478174747304, 2.8440503939925468, 2.556272767317514, 2.3244085495803066, 2.244938671580144, 2.217147802210622, 2.0011405385419407, 1.8154525501649783, 1.933480650778462, 1.9994561373207254, 1.7585110814120246, 1.9739770926273845, 1.858027989691434, 2.1990315777712017, 2.0818034594118435, 2.35438875410582, 2.4739433168675635, 2.649910147976302, 2.9763805856726564, 3.2126040945917578, 3.385465733743559, 3.667778978323181, 3.878498828951462, 4.375796585005356, 4.378474481165109, 4.77750359941855, 4.924296638404991, 5.248875753494694, 5.267028298387718, 5.5483300644562785, 5.580174656749908, 5.604014857298916, 5.914426384431877, 5.809602875524829, 5.895443016897151, 5.871264047154612, 5.855986064304492, 5.825495938928281, 5.68021441230253, 5.662750468652092, 5.56329205349771, 5.243627871808364, 5.273890706717615, 4.898625275394685, 4.517489282414152, 4.416748842178169, 4.430060721244012, 4.01813549495959, 4.055419657423397, 3.5245689715166457, 3.318500059223251, 3.0183219753581945, 2.9319521079331494, 2.4557149062113086, 2.442817740364274, 2.313287967808184, 2.4290717795236727, 2.2085715436934175, 2.1849138607698912, 1.9686084523440157, 2.065484148280494, 2.221680869143842, 2.243149646674195, 2.3302078496647742, 2.427340345045568, 2.496902370920429, 2.7672422778846664, 2.9363993735206493, 3.156422830249723, 3.3731644575164372, 3.4759757152083868, 3.8902951530799115, 4.148769361614956, 4.3658864416563725, 4.577346306641, 5.021794028021264, 4.970507166815398, 5.427591976918887, 5.601969700952923, 5.73134058228878, 5.904609116071147, 5.917274576692237, 6.111626897060546, 6.1816217136651295, 6.263071729324666, 6.338733137945132, 6.191260274471361, 6.16497632513447, 6.187578701292576, 5.868334680147751, 5.8188711911104845, 5.5980624496465605, 5.2620147437095, 5.146000816953552, 5.039257428042225, 4.787546534877611, 4.4850527407787935, 4.208897590901398, 4.021349065634465, 3.7291471498326976, 3.5832555251850957, 3.273663009574787, 3.02923906379067, 3.0644556587523866, 2.648125873490142, 2.7438408176761517, 2.439526871325499, 2.3257883196810334, 2.3355137152784953, 2.1375335593051163, 2.2387272445233437, 2.311937597165428, 2.420197700689746, 2.47165299590253, 2.775727123324358, 3.067308158013631, 3.0279044351983004, 3.16072868774018, 3.2696627290397933, 3.7911626418441102, 3.8951253674078994, 4.267193456789309, 4.175234408349446, 4.6069308480966455, 4.9509506416701345, 5.217919681012552, 5.290087184420353, 5.527795160177665, 5.7031493844115655, 5.856609663492192, 6.130248958822913, 6.048481213858983, 6.203739686282232, 6.480432330096062, 6.638883361884762, 6.394074957242804, 6.6505489132680635, 6.220642808984931, 6.396785494172948, 6.139811189674046, 6.223857925246512, 5.717924547907456, 5.674362366263377, 5.3590612933493365, 5.128163675478973, 4.925543922105796, 4.745413900663518, 4.596615073708725, 4.314294790939417, 4.072839689055791, 3.873745662901249, 3.685944599054358, 3.325363426458059, 2.9610618066874634, 3.138913042067147, 2.949598645901494, 2.753998695123435, 2.5415052231676696, 2.619721325448339, 2.469642729756338, 2.469094803111899, 2.6522119533816615, 2.6112453376863227, 2.789871682718846, 2.921942052909904, 3.109598720723042, 3.2560951604306574, 3.5150951735539304, 3.6473714258375596, 3.966178340716762, 4.1409238813117595, 4.463082101808706, 4.58071737704375, 4.944088557047282, 5.190880692119234, 5.505264137894774, 5.653364565990641, 5.837197730530212, 6.117604845119174, 6.157784681505076, 6.346790541801034, 6.590992397680986, 6.590274497756368, 6.630278454285673, 6.817437839511523, 6.552144195082968, 6.68079401397326, 6.750644496893885, 6.647672107268692, 6.371644752013407, 6.320121932521869, 6.181988054783687, 5.864863893061683, 5.7868238855449885, 5.5677862156827045, 5.2731909522823806, 4.948045240037646, 4.601903523653807, 4.499526888980737, 4.207773932059344, 4.157151818815915, 3.789137905511898, 3.6150347812327377, 3.395625964161452, 3.3462737564680727, 2.9650293742965053, 2.9887429870884548, 2.841139510475263, 2.7953172062508496, 2.8880248481420607, 2.6734939588027506, 3.0470615454925145, 2.714112900738133, 2.9648560594610913, 3.089410189568419, 3.271770688716095, 3.4510809977478423, 3.569591306524918, 4.022260236019358, 4.178845886743126, 4.408124747008573, 4.51179448611365, 4.954261335809623, 5.0044388916196425, 5.342223886507942, 5.542465678845558, 5.817159930748713, 6.097029009915225, 6.104696759450462, 6.409245273715916, 6.532460159814008, 6.706656736233463, 6.75578274832078, 6.944751320154952, 6.894677404785627, 6.808299320943311, 6.941822129590215, 6.998413586697892, 6.6682342307052265, 6.817279211674064, 6.639666812597128, 6.259267076304072, 6.311314814756693, 5.819449579776683, 5.7651938463230685, 5.503236185127351 ]
[ 0.1646058052972283, -0.2702973089755165, -0.57253903886571, -0.5947553083073279, -1.0404203286926186, -1.1771470349964526, -1.355741325683228, -1.5646309922312462, -1.8374649522327808, -1.7820472060556185, -2.076165919640718, -2.070173689294624, -2.16115421416491, -2.210994761442796, -2.103860718731082, -1.8361957492908545, -1.8762550674256826, -1.6527438465424036, -1.6342188010099186, -1.2683715964733955, -1.1116465490889498, -1.176785917348097, -0.7956952673243037, -0.5335787013364723, -0.4063161491118281, -0.02680033850471776, 0.24431840265766422, 0.3485310046216662, 0.3300588044297275, 0.8832944740390872, 1.1096457695680213, 1.2750952127871371, 1.4320079849156724, 1.4423996340321295, 1.8538594871407057, 1.8256651393334873, 1.9016293160530562, 1.8846520987775692, 1.6781275423115527, 1.696839695972324, 1.675638140073824, 1.7450229462217095, 1.4254933094368065, 1.1701651589082271, 1.1440742761269886, 0.8895497156663553, 0.6556766823560439, 0.43635340691746427, 0.4536131065144673, -0.02846307454887357, -0.20588535235488048, -0.4036793621849657, -0.7725861966575905, -1.081689285506705, -1.4224020500360215, -1.488463957667861, -1.5962723939759285, -1.5206139829767051, -1.949049941488403, -2.0376308247108046, -2.1063519123322854, -2.434004506709218, -2.2922557606753324, -2.1488300985067252, -2.2518261682899445, -2.1132130097419144, -2.00203680861776, -2.0510040918042223, -1.8418546851946132, -1.7959365800714908, -1.449510781601133, -1.3774027038963739, -1.1492637615151944, -0.9439998434501482, -0.5224440834316566, -0.35878720606001757, -0.02889595778532217, 0.231363681587126, 0.048569362718334064, 0.4714804257237645, 0.7292260644957881, 0.9519998558174617, 1.111366820586783, 1.2158258756644293, 1.5143965821848662, 1.4432861109862334, 1.4718865901280391, 1.7362255228388017, 1.6548101134560942, 1.4924725276525408, 1.6199846916147858, 1.1973002444543093, 1.2116822485896894, 1.2799746888083146, 0.9074710003195883, 0.5761696136746097, 0.5619758446508474, 0.3168344599822308, 0.032404643513482406, -0.3106534429567631, -0.4958859377196411, -0.5623205990004281, -0.9219668996946948, -1.1428250776738722, -1.5475536165292116, -1.7564793680059774, -1.8477434484418318, -2.0474460570424893, -2.3677201296785757, -2.238438231159758, -2.4632629152063132, -2.547350570048005, -2.541862744882132, -2.418905499593384, -2.636845412963628, -2.3625878168276144, -2.4397535578785, -2.0851707612828925, -2.074965237705423, -1.8255449030295043, -1.7096307779301791, -1.6610053925690558, -1.2808468237246593, -0.9975660902502695, -0.7719998134360534, -0.711136415572385, -0.4850108718377226, -0.16783522792872635, 0.07572079646196517, 0.3671542580881205, 0.37415310755030773, 0.7900353107679646, 0.7442053951977121, 1.011206798282045, 1.3292564684505777, 1.3293515583100988, 1.3943243283815574, 1.276635457428394, 1.3320746728253232, 1.2449796763067338, 1.284343583683366, 1.2445178132986248, 1.049917128861328, 0.836511316032707, 0.7095352120680265, 0.4660874878995386, 0.2725674519059498, -0.12165589923781214, -0.1798267695959148, -0.7282172674952601, -0.5457089703903173, -1.0037955206810423, -1.215305139023985, -1.197792786845101, -1.7494469218832616, -2.098998183076817, -2.1568583212333894, -2.341617244856774, -2.48569490548046, -2.5147555960928565, -2.7124249408622467, -2.821405142182191, -2.875975328892211, -2.809331287668531, -2.831641808906599, -2.719801981916772, -2.5441151101654955, -2.5610249623983266, -2.50063217840548, -2.2682827781095924, -1.9860692464784901, -1.8267057728416551, -1.6526963644689388, -1.3792564643758627, -1.1336568990740723, -0.8628930595574171, -0.5800174650817251, -0.3598527853186648, -0.1426610884780307, -0.08488317349975252, 0.25602928138405284, 0.4683047522161789, 0.7299666280614302, 0.8608985602986224, 0.7489963626463094, 1.1713985964826976, 1.0312311025068495, 0.9761548021309171, 1.0392079541313064, 0.9176149555734341, 0.9090953993228436, 0.8188606244544397, 0.8755151043134168, 0.532687401620698, 0.29738836610401104, 0.21844889154973007, -0.04662935415149114, -0.11483150024285155, -0.47760878790077166, -0.7716728146214263, -0.8799075541017416, -1.2040014306923448, -1.559204427974925, -1.8055010293709701, -1.8414080422368113, -2.1927363962078164, -2.3268324466000787, -2.5132922730221554, -2.687596107383525, -2.9039573727823633, -3.044366042300569, -2.9656994705560105, -2.8649422690663195, -3.017751727621334, -2.9079152223130964, -3.1226646375153804, -2.895040444494873, -2.778200045551246, -2.5254042896070645, -2.313088951407951, -2.3529933068782536, -2.089667369937593, -1.8130390733296335, -1.7356803811300954, -1.28854661169213, -1.2849014092363156, -0.8522123778342521, -0.5866504735361362, -0.37487614863378116, -0.07238495688336632, -0.04826947479934533, 0.18866420312156135, 0.31822009730301404, 0.6602565166501807, 0.6332739941903466, 0.824166154530569, 0.8179069762877631, 0.9655676810584541, 0.9166347856857477, 0.6914337197563631, 0.6730822600209077, 0.695365795918774, 0.5732093307843529, 0.46656701716339277, 0.24336970634582672, 0.07049983486840597, -0.3729009935329892, -0.4582210534586309, -0.6521070907925857, -1.0142369392712427, -1.2089829823468836, -1.4774094068401813, -1.746364060876369, -1.912907193211525, -2.2792890344670362, -2.424636075428685, -2.5590239216769093, -2.8630803664830857, -2.9882160155065782, -3.0816186306580198, -2.9951992572552175, -3.3037952875246797, -3.20523876374856, -3.2903683439785976, -3.260024584759682, -3.1900125672238326, -3.0742750500330893, -3.0333172412609297, -2.830307011798092, -2.6190078841808457, -2.546179364128329, -2.3142453833157197, -2.0541172629985605, -1.6408336519334823, -1.539049505690876, -1.2894163660822626, -1.0779327809578514, -0.7088731567860012, -0.5709975771644248, -0.3797636756737688, -0.220533120084554, 0.07503205132260611, 0.03620996033294949, 0.24806271473793218, 0.3121610664018751, 0.4354745520323954, 0.5736148089688475, 0.6119798413981157, 0.5062240651323142, 0.5975892452043241, 0.49217828121610757, 0.45006482637030887, 0.16139518469972952, 0.2834949790104753, -0.17353925786945307, -0.37947554446773957, -0.4970269033824262, -0.8706408375495276, -0.7901040368390385, -1.2780172687751141, -1.3705949817577239, -1.8137495388883307, -1.7956727726486401, -2.3445398209500303, -2.390050895171778, -2.5601021003859383, -2.7323974103169655, -3.0448118517929257, -3.3193203928141104, -3.3557639344581593, -3.1656577982797107, -3.544701940287525, -3.37519365274236, -3.5805927141191534, -3.553333142415519, -3.531626392782715, -3.3455049621524027, -3.154206008923012, -3.1575511123648132, -3.143219294840028, -2.6039074171929038, -2.397148032336709, -2.264704392011172, -2.0693339806272646, -1.6921912725521704, -1.6569640003705925, -1.4186219298731126, -1.045226785950201, -0.9512392697308336, -0.853070584291045, -0.3765577805129531, -0.025962247061671245, -0.036716591639016936, -0.05499647516006839, 0.26805686377279747, 0.4124059229389072, 0.19978385202194676, 0.4704979903616502, 0.39144442907865096, 0.08963956284582689, 0.25246971760521697, 0.10124226668312303, 0.027516385396565562, -0.06899475524403918, -0.26700649345700334, -0.45593524189829315, -0.7312368817319029, -1.0601499899311864, -1.1798262412837226, -1.52960464116105, -1.8021944819537306, -2.0326834413123374, -2.146816938779347, -2.551957031786971, -2.5231675439511547, -2.877331963215336, -3.0521756710133734, -3.4364614398008375, -3.5981040938164064, -3.6150260233680003, -3.591599299130782, -3.7106030411004114, -3.746226643394566, -3.8696228151107763, -3.789376502909645, -3.6885017176565595, -3.5277843776878286, -3.4395966397688973, -3.2104970258882073, -3.274428494308065, -2.940587144511177, -2.713777475872324, -2.630404430769123, -2.345231310574262, -2.0138985866207118, -1.7004078539657348, -1.6060254509360155, -1.241403876427656, -1.0939710669234182, -1.0524300361592227, -0.5805701566355549, -0.3822088831152206, -0.36432298924975653, -0.2245958317025558, -0.15354583426961538, -0.1529722983840269, 0.02619946488553053, 0.14538557095835977, -0.005592533143295289, 0.037648974876136825, -0.05593253962373397, 0.01933868898936196, -0.24082696361097441, -0.5799668405331401, -0.5521276648221348, -0.7105420042754836, -1.1999441828455626, -1.2802607358657883, -1.5405380074104187, -1.6579498637425019, -2.02015230420005, -2.2237008880283406, -2.6341739621589517, -2.838921108622621, -2.9814172882592054, -3.2003755918333847, -3.2937184906856403, -3.5283672409328006, -3.7543821787039744, -3.8982507674959272, -3.8925231892206877, -4.052338793325459, -4.132112173156214, -4.195586818533066, -4.176782368307965, -3.753257679611834, -3.7154171149836115, -3.7013655311219518, -3.461896928031973, -3.426313610927278, -3.354247835949447, -3.0907094545437888, -2.750813717417731, -2.4977295959060077, -2.2344397890489134, -1.9849430203813825, -1.779693514104934, -1.7091847521488366, -1.38442781930523, -1.1294274375442719, -0.815636128890229, -0.8294694922721537, -0.5979237602393066, -0.3325115013723225, -0.3638643484480581, -0.20984529459334128, -0.1820499211253987, -0.0005605263545208072, -0.19475717147675026, -0.22882479421913318, -0.33031630748663643, -0.25300089746351845, -0.48534710410884085, -0.6554509525481615, -0.8783305714496024, -0.8433653278591006, -1.2052994096070124, -1.4714789489889875, -1.7208321654306382, -1.724448316258461, -2.1284289504869656, -2.419618069426722, -2.6614706857882977, -2.94612299948485, -3.050722272013561, -3.3199738364274305, -3.489311278835853, -3.8164671621214157, -3.854570782176243, -4.218691882905846, -3.9206440843248007, -4.215426738629472, -4.298902383432295, -4.152462208696531, -4.314359154243357, -4.026942115571909, -4.157341397567978, -3.885580874637445, -3.877130893510394, -3.6291572295554646, -3.301862864691221, -3.351595681328024, -3.1784604713750997, -2.8470749222063785, -2.648170477626657, -2.4255260031726635, -2.031392949326301, -1.8143924938863973, -1.5227523567078929, -1.4535632014240456, -1.1812216065045709, -1.0128813416418578, -0.7389402024619047, -0.6966156065475787, -0.4945769366119493, -0.3591318752787933, -0.31670643676125054, -0.27598283904777526, -0.48997596880380345, -0.32198049783697447, -0.5492790783720597, -0.521264705074534, -0.5256632709975534, -0.9237574861098501, -1.0451026190056645, -1.3584124574139136, -1.6206625311699712, -1.7265521964713242, -1.818759903870886, -2.187317538428489, -2.480932006471383, -2.6609051330422466, -2.742434060873751, -3.3265593724638896, -3.4254382306303026, -3.5443941908519556, -3.838012596233485, -4.089747137453153, -4.246348260307274, -4.317577900662888, -4.3629609538466125, -4.319295198178408, -4.528450008247818, -4.497588685616606, -4.696565494397039, -4.366573238486999, -4.238137407991752, -4.231963427711265, -4.08701657673582, -3.9562807017432013, -3.6210489215492805, -3.3874993974955334, -3.128863392169777, -3.0047391903844254, -2.8600949889938776, -2.441984051343448, -2.415198004808329, -2.0945346295153624, -2.122419113878136, -1.724163326100708, -1.457564031836738, -1.1999170963445007, -1.0576900716543238, -0.964700288985813, -0.7830466409281313, -0.6804057694193886, -0.6723174594365019, -0.6438942244458691, -0.6688365720438524, -0.5045583492284891, -0.8426488327116409, -0.9278364485851971, -0.8171211089864422, -1.0379626675736635, -1.2374470697626712, -1.5302053240838465, -1.8371446378552345, -1.9444554679606056, -2.0698963782397852, -2.393857908098284, -2.6286514001100296, -2.88154438615805, -3.1938326688921492, -3.513132013150299, -3.6842120643174296, -3.798935241650736, -4.246726874758738, -4.3627759573408715, -4.568803131731931, -4.50429045600955, -4.475452785292453, -4.5741399066954544, -4.696542383315572, -4.7211277253690005, -4.725878227944621, -4.639592078855467, -4.488473591406923, -4.597132258828112, -4.438530380046874, -4.143147867519395, -3.9706262020352643, -3.886668290042693, -3.716799641715468, -3.2986190369327084, -2.9288454994125797, -2.853550748288659, -2.3554771111270103, -2.3949075737713055, -2.148831157961446, -1.9109737269042772, -1.5231263579070815, -1.6948252182038073, -1.1975429655158247, -1.277466700471944, -0.9450865670446321, -0.9603968145931518, -0.8174672686376653, -0.9281373548349791, -0.9746740336651034, -0.9521346458414552, -0.9281761420426837, -1.2324321325503245, -1.0105952003832868, -1.4461264475449382, -1.3819219202121618, -1.8432746761846055, -2.0467224863095894, -2.1410962109566096, -2.4137825368757997, -2.610187944604064, -2.875190683382368, -3.224317951655185, -3.5574089842576075, -3.756277537005628, -4.009679424565661, -4.285654783507502, -4.389375076315565, -4.6140729920624, -4.60330902432414, -4.823219666113058, -4.889816665607507, -4.9131088036220465, -4.941147002400734, -5.111423790675021, -5.073274640357206, -5.076938979942031, -4.759133596856292, -4.640549395003874, -4.494449400427461, -4.493159604744513, -4.256246886067568, -4.022394441511929, -3.4985936806848255, -3.3382998077221404, -3.313306758571529, -3.1846758760923577, -2.905163621091186, -2.5269402755994084, -2.4194368586421025, -2.2281536158615194, -1.9201488533471927, -1.7881334705856193, -1.6056610338504325, -1.6488443558929429, -1.274128274985475, -1.1200814957024186, -0.9340635922704502, -0.9369851345047776, -1.1038780358930713, -1.1057892802784408, -1.3981274748997397, -1.2544020553944082, -1.444039015627188, -1.3651613575004742, -1.4224997750886392, -2.0325377047963435, -2.448882318792322, -2.4928153424144006, -2.73120246827823, -2.868882885490682, -3.1601302979963597, -3.328031474323008, -3.5475753776678047, -3.8808913685364166, -4.231270267607889, -4.392393757141112, -4.529177589128685, -4.704674068689746, -4.801957729139126, -4.98289440234384, -5.049504731472289, -5.184564837808235, -5.298619999912149, -5.370840633612547, -5.324428929748672, -5.172765201923187, -5.036827051529367, -4.777168683334852, -4.961420459246092, -4.718520130690613, -4.476718019785613, -4.25455017775528, -4.032081120979435, -3.6467451205570205, -3.477247513776598, -3.3167402163481245, -3.0626345574829035, -2.8088644570377164, -2.4704530885225293, -2.442360383903866, -2.0858871375383132, -1.9061852726544488, -1.5957162841643309, -1.6580138970695828, -1.6195921377716054, -1.5097964306864577, -1.5662484459681982, -1.3197562092862003, -1.3447797346040455, -1.3756557010116686, -1.234058454785254, -1.577083516649173, -1.6896847820322995, -2.014233962530944, -1.98251723024841, -2.2640599129993326, -2.587199066820454, -2.543358288372542, -3.133406634657187, -3.1666077010880773, -3.5024512529044785, -3.8540037061415773, -4.022804485608833, -4.311525413118011, -4.5320562878219075, -4.697134296075415, -4.820499479100855, -4.915563074299538, -5.183551671045739, -5.3098801300714875, -5.30698776565091, -5.312326590089551, -5.3904871980904066, -5.722661005842849, -5.402110996522922, -5.289865993250722, -5.291076410651935, -5.115037151192005, -4.9436692430980065, -5.022717900497548, -4.70396974385774, -4.335268756315231, -4.129264550449476, -3.939671783619223, -3.8407145260369453, -3.5309478514942256, -3.4353610032614537, -2.968954378814476, -2.7636980989300373, -2.6890441332466253, -2.3233651953989196, -2.1659343247293465, -1.9278300332514595, -1.7964811156505403, -1.9272285684219341, -1.6851766448398011, -1.5733398456706167, -1.352958284366188, -1.657911770695382, -1.7062760576988063, -1.6766183402843011, -1.912397741105373, -1.7940610350714543, -2.193514727032598, -2.1852289360327495, -2.4958978227174393, -2.6657214267575284, -2.9488892487422143, -3.168471575068119, -3.397971520672292, -3.723174601949862, -4.057205987745026, -4.259391013100697, -4.465004338429747, -4.6552618302356255, -4.587973153354858, -5.005889045393731, -5.252008739773715, -5.399229991968594, -5.4854655528030944, -5.388136687965453, -5.871976880753096, -5.782706155244729, -5.550245627124792, -5.53287203016525, -5.616342524826467, -5.59843520194114, -5.548550831010579, -5.305468437927932, -5.2885865457252095, -4.8912067118882065, -4.777438382207802, -4.3295232142874225, -4.361987626476112, -4.139033127360151, -3.7781252226393716, -3.5577178563534897, -3.205011950866251, -3.115393621527374, -2.9967120084349266, -2.5102507971997907, -2.3382584167365272, -2.3274008679360736, -2.0060204877517465, -2.0801244100455363, -1.8573052692542735, -1.7932164545680822, -2.00503384351552, -1.9133252806620797, -1.970713242102446, -2.1177609713974146, -2.004731009523432, -2.0900121807736616, -2.437360060137939, -2.5935326701765353, -2.618801583281089, -2.862477456307786, -3.1020156064879876, -3.639273973655569, -3.6996315941726987, -3.8115714689811204, -3.972860388909171, -4.46876404792182, -4.6501856900135135, -5.029832689413055, -5.186939182587712, -5.085146290301901, -5.673236152255669, -5.607999644836928, -5.643385160813976, -5.930038451861266, -5.831161720699237, -5.825109253064524, -5.900381700014012, -6.033394529052261, -5.805180276203284, -5.694213237891897, -5.854077610672883, -5.712999725687083, -5.420731371187482, -5.157268733740936, -4.859154683008527, -4.774219655158154, -4.476973587478962, -4.2423309281231365, -4.153679920846569, -3.6711263228778552, -3.5345394825381953, -3.3565900151627983, -3.1017700366624976, -2.775498064276311, -2.6788802065589667, -2.372807030264042, -2.523185000454204, -2.335525064295239, -2.140871965385772, -1.9893349397813027, -2.139559728930307, -2.2096894237896345, -1.9359044815287143, -2.3578448410496655, -2.240370955867986, -2.4302672621900574, -2.578491972487094, -2.770489652508432, -2.9690853904390226, -3.1866035898890557, -3.314179512478213, -3.534961117299248, -3.974293119111694, -4.260134507833983, -4.3041569047707915, -4.726963388415037, -4.811673879864071, -5.2353782822773, -5.3447813656399195, -5.7139873533489824, -5.702923221668466, -6.114898094523443, -5.9374821064896, -5.9898413304871365, -6.175387076956349, -6.1283687679201, -6.102424046525727, -6.082474513459445, -6.206138257569557, -6.172543149216485, -5.945092527244948, -5.858614648733892, -5.705498839780541, -5.321615579367683, -5.077399048966689, -5.033613370785052, -4.727960753385801, -4.55827559297246, -4.351414941132208, -3.9545044029520087, -3.845490503208233, -3.5606578932917494, -3.3149740677190787, -2.999537336885672, -2.8996957011627305, -2.6006542089979137, -2.542835828185201, -2.4963579944423016, -2.289869016583249, -2.4663921726931557, -2.3937706886423364, -2.25100744652199, -2.469590157377794, -2.5046771604441225, -2.697498095797693, -2.5905545335069093, -2.8676404868939755, -2.895668792000811, -2.940472373409024, -3.3771992206385666, -3.6228179209943434, -3.8272028961587403, -4.166838750259372, -4.423064861116519, -4.426004162564212, -4.914646096151765, -5.264437442904669, -5.423481263675282, -5.672786123196914, -5.907300806266321, -5.820056316822006, -6.162485133824983, -6.120922065155199, -6.331464204036949, -6.330018915197167, -6.295439246343988, -6.596993515658113, -6.465244692305766, -6.38933589230049, -6.350773110240279, -6.112601749010194, -5.854708694972035, -5.907867707048913, -5.5050647821781755, -5.450148922698707, -5.160906158698961, -5.011540867494529, -4.72176717289257, -4.4704701790854635, -4.311716912152009, -3.9385170218384027, -3.722096187876539, -3.4444146762413186, -3.059582864447346, -3.1347770979254395, -3.0755153614310355, -2.8646912630676438, -2.926484612936627, -2.6852288131917352, -2.5883184150051806, -2.642040910249303, -2.597814823623444, -2.622871192707706, -2.698736003543703, -3.019542074002323, -2.9633784675136146, -3.0914988968172334, -3.4193098175346037, -3.4837219408152755, -3.6108624364672974, -3.792509172814438, -4.0552018278008735, -4.461072149219493, -4.770919935098266, -4.9579938757467215, -5.123580659046236, -5.4230311602593275, -5.581407144569433, -5.868942965454702, -6.009665224443721, -6.2751497619704955, -6.329910345080433, -6.483534659953961, -6.646001609236568, -6.692603000142569, -6.75738913821334, -6.818196139158044, -6.585690559131343, -6.509281528221722, -6.544985694438685, -6.477757061118991, -6.1501753734745295, -6.085509418358463, -5.960061296436624, -5.708824063089076, -5.419535431461077, -5.134736883941414, -4.973467652324151, -4.752188936570955, -4.581937390432939, -4.180774055701054, -4.015582249890483, -3.648243201314389, -3.648339477669341, -3.466358197775274, -3.309363141564742, -3.175631132930797, -3.1936776131229667, -2.7891558708877837, -2.8970724271825503, -2.790851078527891, -2.786009628232371, -2.9213783545131276, -2.861119558710565, -3.147918060929168, -3.0767145526821547, -3.362677508101902, -3.529724868063941, -3.775587354388147, -3.9620061217284697, -4.103555670820258, -4.532129960853556, -4.6802652234971385, -4.884776187161826, -5.169587155163305, -5.461080740494763, -5.587768810150534, -5.816005527592251, -6.020519198730501, -6.386403571282158, -6.446142140161747, -6.704102832903761, -6.701905333621493, -6.739116802091121, -7.064049979746318, -6.839294716672181, -6.833354468617792, -6.876056950785219, -6.732283709783834, -6.692113536718459, -6.7769583874584, -6.4651347986371475, -6.242220928300868, -6.223104894981399, -5.93904221588251, -5.833975488932734, -5.532418563454529 ]
90
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend" ]
Both time series have a trend and a cyclic component. Then we say two time series are flipped versions of each other, we mean that the sign of each step is flipped. You should check if the sign of each step is flipped for both time series. At a high level, you should check if the time series are mirror images of each other.
Similarity Analysis
Shape
487
null
Does time series 1 granger cause time series 2?
[ "Yes, time series 1 granger causes time series 2", "No, they are not granger causal", "No, time series 2 granger causes time series 1" ]
Yes, time series 1 granger causes time series 2
binary
[ -0.00002592556583547957, -0.006807252774723623, -0.013886393179735577, -0.020228751971422397, -0.0011446362442699282, -0.0010073461327958558, -0.0008628556760664542, -0.0163804896595793, 0.006184456846005295, 0.0030536774735095834, -0.00028510135241345937, 0.000050956732150986706, -0.00378175519604861, -0.028509233948885326, -0.03753801793208232, -0.02594608625681457, -0.028507761897137, -0.01157959583153102, -0.025260507768900018, -0.023259103963819104, -0.021487209184853494, -0.017199428481985406, -0.034805479698339505, -0.05865113436387966, -0.05363412138799741, -0.06237068137862105, -0.04720470032264538, -0.06410741543052952, -0.07465518503459279, -0.07525829072304853, -0.04412847801891612, -0.03391203345861353, -0.047964947617617014, -0.07522221989162048, -0.09475591331366859, -0.10834058179833142, -0.12650837375555832, -0.12368436723508108, -0.1426649702440535, -0.11341862166582509, -0.12056471107829123, -0.11583107466875293, -0.09311094167335848, -0.06815060603229496, -0.07260344875941652, -0.09339403304304095, -0.08941491811389174, -0.07649760943050961, -0.07321881290652682, -0.07351908733405683, -0.05505165928890682, -0.05713596271632467, -0.006847685110799903, 0.0008304530464168652, 0.017942442564171966, 0.0407758761539414, 0.07107115528306529, 0.03748378130287248, 0.08912744133365802, 0.07075921844801332, 0.05558328415641925, 0.09807036689850213, 0.11536188304093195, 0.10972577147874697, 0.0837659293947264, 0.09523050571491452, 0.12460945778425202, 0.12143668214076055, 0.13657275947118575, 0.14011430551351278, 0.15904902134218157, 0.17473723169970407, 0.20022646016043882, 0.18945557527698192, 0.17766781320535982, 0.1673698351091156, 0.15859649218192284, 0.18530293123162742, 0.1828819640295584, 0.19583155877561592, 0.19396520662533995, 0.19228538314930224, 0.22260104663056918, 0.21084957165807144, 0.19679096768624907, 0.22351995798303914, 0.18590133193431152, 0.19817335851735834, 0.19909967088531536, 0.1932082605367871, 0.1872269027080335, 0.17761801243441067, 0.1880988667758014, 0.204592029086344, 0.20117350012086407, 0.24087269510886664, 0.2613389554386429, 0.2841571919923341, 0.2728555287631068, 0.2646190198806262, 0.27835996207830305, 0.25151575358042666, 0.25665109505293954, 0.25357992130109874, 0.22625934989414262, 0.2264715815945107, 0.2093638459611682, 0.21748749787527985, 0.19226165208573848, 0.18489438436912561, 0.18679952393851035, 0.19825944205327567, 0.19006694503145133, 0.1873131749955743, 0.16546479345817933, 0.19857061377782967, 0.21344270968367193, 0.17197055143122386, 0.16917183415364542, 0.1836147697168167, 0.15957676052016131, 0.14065668683807736, 0.17561321307018474, 0.15739524994215776, 0.18379126185958594, 0.17873407557452117, 0.1471920601714449, 0.14930123800557601, 0.17520285426240279, 0.20200704411604045, 0.2062784153567, 0.21881144697119384, 0.19317645864196745, 0.16484655414898047, 0.15882770338455246, 0.16082512290952242, 0.18852302933537926, 0.16946596050230953, 0.14377376072304926, 0.14447592006542412, 0.16881105187043863, 0.19775362024558082, 0.19554608702941706, 0.17150588570960704, 0.16359191294511036, 0.2011678014560844, 0.1963955117348406, 0.22426420314758858, 0.22756801329551288, 0.23794917130258472, 0.22750510076253672, 0.21061464122416398, 0.18676230189849102, 0.18111556443635227, 0.1689873281394762, 0.18269019585443091, 0.18177417527688308, 0.18117569754755444, 0.1785348164472666, 0.20279742134279352, 0.19136749312550402, 0.22042938520224375, 0.21802724968058204, 0.2352566757899362, 0.23121460291248647, 0.22712476578364665, 0.23666593565129002, 0.22051551503472275, 0.23269551858959306, 0.24565396816409277, 0.22352267867536946, 0.2264688904038313, 0.23046036745635776, 0.2709543558246376, 0.30376301728148686, 0.3102625755766799, 0.2990304670364683, 0.29025661568631167, 0.2791902524513229, 0.2783902656344275, 0.3034533900399073, 0.3014972030195279, 0.33071926607684854, 0.3559528878097905, 0.3222548062287068, 0.31294026127183067, 0.31872735269062646, 0.3308563328380349, 0.32376545094827286, 0.33006414404569967, 0.322834720239561, 0.3625900545547477, 0.3891715823647918, 0.3702506893751413, 0.37707489450135384, 0.3719535073354181, 0.3770723580064893, 0.3735390488808183, 0.3916902125191005, 0.36225162784352277, 0.38180381507494165, 0.3612059264930248, 0.3456370329869296, 0.3370715308279939, 0.317539984510379, 0.33957672287799556, 0.34611450334233695, 0.3817911159094823, 0.3937599655734628, 0.3617675490912119, 0.36689636199892117, 0.3579978857095436, 0.35750672687766744, 0.375405122550203, 0.3952802828337529, 0.3881515993342172, 0.4042519508163482, 0.40449144188888103, 0.37012038005823295, 0.39746567957120943, 0.41071679134936406, 0.40168274085781724, 0.38757151471754214, 0.35937014305370246, 0.3685781992227217, 0.3381226384769468, 0.33933280433470797, 0.3709973267097678, 0.3745305831532191, 0.38913797621224777, 0.3743124160504155, 0.398767606783086, 0.419864974026075, 0.42722055472171766, 0.44708875021696604, 0.4201769820104478, 0.4234859832605823, 0.4088017953398309, 0.4039934882833269, 0.3814055052417787, 0.384617661097737, 0.39009254614002953, 0.382568355096929, 0.39880680801252466, 0.4360603260061172, 0.42934026222755695, 0.4361208106465729, 0.4331625740868319, 0.43517155917217093, 0.43180164507703295, 0.4651772647600299, 0.46349108079991014, 0.47846548532413646, 0.46373474845658436, 0.48125235863686905, 0.4964127102205207, 0.47563941126566794, 0.4518762149930087, 0.44787184580042333, 0.43489137406039413, 0.41592939712410704, 0.4248580851503531, 0.4144034407237889, 0.4318661174238036, 0.4124115571109931, 0.4121427658967079, 0.43973204317700154, 0.4385177669092179, 0.4462116456632457, 0.4833531153181792, 0.46129255533640195, 0.47815709316903643, 0.4389181941932689, 0.45822750362687675, 0.4449378160467442, 0.4438266866707288, 0.46127124898185395, 0.4494297090054569, 0.4566039497821028, 0.4172442914428162, 0.4328251436219626, 0.4509465469417276, 0.4365936928993566, 0.445611855631148, 0.46267620076703253, 0.45868700296560655, 0.45053923835152365, 0.4833449351061574, 0.493506831740019, 0.5197683340278031, 0.4960625258009882, 0.5040919061476439, 0.49589257834137934, 0.4827079681430742, 0.47262327669831516, 0.49381437136598855, 0.4961083707929969, 0.5031676119878058, 0.4897003988267554, 0.46092111775303535, 0.5063222654370297, 0.48651220831404635, 0.5116036895292072, 0.5301826504521003, 0.5422341137062013, 0.5684930042579215, 0.5818451748149176, 0.5434052634182749, 0.5364075975384512, 0.5050995268864835, 0.5007385844747338, 0.49282961684281174, 0.4924619371014642, 0.5047595545085554, 0.5143614969953287, 0.5417917862417451, 0.5499069330153734, 0.5631054577164897, 0.5548566151030229, 0.5841392327133691, 0.5682248269726657, 0.6166405842401423, 0.6295561693880266, 0.6205894559443926, 0.6393161697036218, 0.614446587735079, 0.6257324203074102, 0.6318453743926499, 0.6054549547230526, 0.5921689810541513, 0.6175453621415431, 0.6190941343869478, 0.6370071736132882, 0.6473345066526925, 0.6558192541787752, 0.6482586036390504, 0.6538982457396515, 0.6672121462175995, 0.6497033785595923, 0.6583046797467168, 0.6281138014586046, 0.6338491759476553, 0.6290125796147433, 0.6384765650826524, 0.6532261107040208, 0.6559967565427912, 0.654833384583029, 0.6615099408455087, 0.6697502707761721, 0.6845746100537018, 0.670652731536595, 0.6949599307279415, 0.7183653979232171, 0.7254950131956505, 0.744503610588664, 0.7566225562345607, 0.7255967674278793, 0.727226867120126, 0.7515177462070017, 0.7362281871173768, 0.7569434036758392, 0.7425107957160196, 0.7161189238201043, 0.7219479096453406, 0.7076598989513653, 0.6930325054331172, 0.7020353378041243, 0.7141359949320981, 0.731767517970552, 0.7629162440175298, 0.7887456989707833, 0.7824554114572863, 0.809622209686927, 0.8327129887746599, 0.8572916248003767, 0.8738715242260311, 0.870410356630886, 0.8687719037906583, 0.8622396877089303, 0.8596434859245323, 0.8709004011177804, 0.8514141988348679, 0.8551871232173897, 0.8361480416342877, 0.8514646874347982, 0.8436334375132568, 0.8396571613856245, 0.8508844387190231, 0.8556176983423682, 0.8239379586732098, 0.8410795431653153, 0.8523849151890298, 0.8439800268887643, 0.8457398796235239, 0.8361717196307721, 0.8384369930612378, 0.8481679500726164, 0.8616844186541528, 0.8582230342202354, 0.8709627484932903, 0.9068435990245078, 0.930836316775507, 0.9661810072830995, 0.9737307177648706, 0.9747862194619035, 0.9579492271128452, 0.9795136940743041, 0.9944387513649434, 0.9650562449857855, 0.9533193115259838, 0.9587384274141254, 0.9622614555504675, 0.9605943533134997, 0.9392694810312291, 0.9356732568388858, 0.9416563134080237, 0.9394730408772294, 0.926729781173427, 0.9080047126626154, 0.9001982940697599, 0.8985333402845781, 0.9103807773537294, 0.9441709448827343, 0.9215928520166201, 0.9133457630707854, 0.9126195458160037, 0.9087213951418104, 0.9335298404712284, 0.9398384871364711, 0.9476549678114536, 0.9169527684120895, 0.9330758369843348, 0.9206404922006962, 0.9357493270535028, 0.9179012238693901, 0.9275648950147468, 0.937272614006209, 0.9409707380367182, 0.9538122193177394, 0.963586870536647, 0.9460997883005082, 0.9485833536831528, 0.9393641129778824, 0.9709268824056206, 0.9724800492186462, 0.9422099494629588, 0.945764947334097, 0.9759147764325641, 0.9523036542255855, 0.9443942518617794, 0.9264386918662427, 0.9408510156232434, 0.9506889135353486, 0.9936520470598913, 0.9840245934379216, 0.9684902693039609, 0.9295796436247635, 0.9385761738598128, 0.9254527829286036, 0.957632728817104, 0.9833977412246051, 0.9793602959192255, 0.9774300913749865, 0.9866583359627068, 0.9877876876429783, 1.016964746924001, 1.0205353670863886, 1.0155989766747278, 1.0084133226152274, 1.0103356772568675, 1.020149060011662, 1.033451708477964, 1.0389548167351759, 1.0541102192073977, 1.0501252988901038, 1.0384338349201903, 1.0387705979521527, 1.0295302638200075, 1.0098289342082847, 1.0078819418964198, 0.9828498101411041, 0.993318716758453, 0.983920116925666, 0.9705697549970258, 0.9603673741106122, 0.9623817869251954, 0.9492125426862759, 0.9308951386979819, 0.9326875612703417, 0.9362123257416561, 0.9383678215139837, 0.9086841645806161, 0.9180446639185075, 0.9333148680616361, 0.965787090018706, 0.93207198702556, 0.9429824628821685, 0.9587715914815675, 0.9679857482361912, 0.9619126882594963, 0.9842512281750351, 0.9797504481040621, 0.9970876414577341, 1.0010599671287628, 1.001913042071585, 0.997480371855361, 0.9946350184635031, 1.0152878408825334, 0.9970186823617099, 0.9830313282615889, 0.9988006065877466, 1.0226423458903309, 1.0220380545860817, 1.018212584717094, 1.0053332908992325, 1.0290107355956346, 0.9903408929651066, 0.9649412078913955, 0.9495742516419869, 0.9454993073297355, 0.9326226476941334, 0.9745840660777181, 0.9744938580353277, 0.9542233377838912, 0.9552772616068875, 0.9612508836784777, 0.9579447145942449, 0.9593429783861327, 0.9680889120513168, 1.0090201187691183, 1.020177640920902, 1.025528344280956, 1.0253436372353197, 1.0359046764969078, 1.015128516513615, 1.0402410066200642, 1.0396193859934446, 1.0411968708331925, 1.0791380149558942, 1.086322523547043, 1.086272872468828, 1.1099956064618448, 1.122170942463882, 1.1128822668721274, 1.1027059873664289, 1.0999519380806264, 1.1015568559816367, 1.1081688829233998, 1.1015635988143406, 1.0949418438949268, 1.118639363115991, 1.1211932831993052, 1.1101315055053553, 1.149983565639949, 1.14787963757738, 1.1736573375965438, 1.1968646095931437, 1.2113718310084631, 1.201198955106319, 1.1987020528795167, 1.238557537548398, 1.2363453728454945, 1.2333712555161798, 1.2266063206561184, 1.2473899901784704, 1.2540263719498181, 1.2634084388639268, 1.2727399060353815, 1.2690801028980325, 1.2862467156135178, 1.2783097331796776, 1.281084375412484, 1.2684517137544364, 1.2241075991162553, 1.2000981655400116, 1.207578404657043, 1.1983681557057815, 1.1842607576430957, 1.1627639353629184, 1.1657314896515214, 1.1471378281158635, 1.1550375927498853, 1.1554680306821492, 1.162599335951315, 1.1716065399535411, 1.1923519686428536, 1.1495984812345272, 1.1592576998871873, 1.1435956516472567, 1.1509352637046009, 1.1327319955384192, 1.1572354670716278, 1.1614415347051485, 1.1258880839413916, 1.1682826276376623, 1.1546513773531522, 1.1752709336860316, 1.1571570671454894, 1.1196432357292765, 1.1554428552846763, 1.1545434963960561, 1.1548563386360444, 1.1640514808750477, 1.1718230847904705, 1.17130938390369, 1.1684000927468778, 1.164799195407046, 1.170869816691532, 1.1729565978407617, 1.1543800782535771, 1.1384907591006768, 1.1422379551546038, 1.1452389286947886, 1.157197672261072, 1.1594461084244307, 1.169743677166462, 1.1631361955126367, 1.1528509189489948, 1.1719737878146952, 1.1516837133768671, 1.1441606017894785, 1.1323561891152565, 1.0950067537356165, 1.0962215183283437, 1.1171543165480202, 1.097970635812837, 1.098571997126164, 1.1064292479546416, 1.1439895870357502, 1.1510381388564608, 1.1392581491209723, 1.164730984738209, 1.1641368582052578, 1.1882938134833836, 1.1785466190461573, 1.1842881788978612, 1.1768086169398586, 1.176437554504508, 1.1898425850160503, 1.1997262791285848, 1.1883713109245162, 1.1764820776599678, 1.182244772631939, 1.1705305218224054, 1.1810716609020178, 1.1531071109196716, 1.19343917609189, 1.2118016012416564, 1.212106699637662, 1.2072251335153814, 1.2000631306605538, 1.1820954367981265, 1.1955428141941302, 1.2045899746206716, 1.197034779829775, 1.1859880977562065, 1.171691437612859, 1.1251099717370443, 1.1275072591565476, 1.1316973010199025, 1.123388772240764, 1.1374133822418842, 1.1668116963529724, 1.1592564994188002, 1.1606865890656968, 1.1667113037135701, 1.139905581485669, 1.1253296262093868, 1.0910778791580973, 1.0966771722964272, 1.0761180637730299, 1.067267459372004, 1.055045950590739, 1.0330432102893927, 1.0175885559164155, 1.0089623288558391, 1.0207469381703593, 1.0152459856874698, 0.975655303329419, 0.9772207949118715, 0.9517710492463171, 0.9501125464892186, 0.9333994775269613, 0.9329035892855426, 0.9543138433126048, 0.9185001542478338, 0.8990574899777742, 0.891198350323065, 0.8836543029552679, 0.8644715822373276, 0.8509530042591218, 0.8773905264499399, 0.8477478588794768, 0.8904596822413758, 0.9044259121212791, 0.8969695846485761, 0.8869881178898852, 0.8869290045408073, 0.9102602713164805, 0.884803464701824, 0.8803020498451052, 0.8707741773627335, 0.8849901568143056, 0.9197388384841553, 0.9162398975800634, 0.9068185358917807, 0.9174872187207433, 0.9071893411650571, 0.9189375078108686, 0.8908180462951051, 0.8840529003137683, 0.8717465465002746, 0.9081438654668146, 0.9111260848552933, 0.8951454665938362, 0.9081528650132998, 0.8989655841195084, 0.8795990816218984, 0.883334605356713, 0.8889585101006582, 0.873530997570878, 0.8719341253530943, 0.8738309508259257, 0.8984177073987231, 0.898017104046858, 0.8925675103720135, 0.8789414596435818, 0.8737983628869771, 0.866453738539017, 0.865244407772005, 0.8815998117374438, 0.8988303973499164, 0.8785250220547465, 0.8905291904853542, 0.8918748066964779, 0.9047115666247392, 0.9137372506103913, 0.8799373962894348, 0.8497906361603109, 0.8556714186867908, 0.8901650834238064, 0.8964289159847688, 0.8710113743654037, 0.8642983604075467, 0.8569439538724625, 0.8507882322119965, 0.8748100757194389, 0.8617084133454849, 0.8829600569553695, 0.8930313521306813, 0.8878707721034366, 0.9167595309384693, 0.9471481334078893, 0.9336556717283749, 0.9233280413538333, 0.9063979751979531, 0.9355004135602266, 0.9200355851426842, 0.9370788386073009, 0.9471585084179402, 0.9322408988266497, 0.9130207274423485, 0.8841904130033597, 0.8846613706742584, 0.8783075742136112, 0.8740287033691126, 0.876950829115962, 0.9057915482169964, 0.9117408269196765, 0.906071333438856, 0.9090990511094915, 0.8874690760685274, 0.9077294878661347, 0.8937422189311217, 0.8745079108876824, 0.8864563279204929, 0.9026325539495638, 0.9209334616781443, 0.947947350702167, 0.9355098219548981, 0.9742774549020768, 0.9842967743792498, 0.9647948970211977, 0.9546719191316179, 0.947151585864066, 0.9435180439893018, 0.9458391027742432, 0.9535738283762186, 0.9459121376225941, 0.9482342581707992, 0.9761623412126941, 0.9934276802443327, 1.0137238850644945, 1.0116446105900752, 1.0057912420143802, 1.0194234838728, 1.0159379114793492, 0.9991710076463323, 1.0175107022045768, 1.0344012900787638, 1.011750704650899, 0.9981673962591233, 1.0117408577651035, 0.9790497297611076, 0.9989001816745059, 1.0137521644871446, 1.0279916953649408, 1.0093416796154742, 0.9941019921258799, 0.9738809969530815, 0.9789443892106522, 0.9648215662303506, 0.9695795459300927, 0.9526432765200851, 0.9616150528115716, 0.9384561438486954, 0.923099618686547, 0.9098375152167409, 0.9065092723376063, 0.946932900715664, 0.9528216933120732, 0.937515627289498, 0.9126791941507669, 0.8895125214243063, 0.8747565770607513, 0.8843274256757757, 0.8954070929203676, 0.8943437311165717, 0.9168195711188474, 0.9096373914401517, 0.9150649584759415, 0.9101623267645224, 0.9074779503149062, 0.9225070854931082, 0.9233460089709621, 0.9240435469335258, 0.9359809760844161, 0.9435846478670625, 0.9433540673821553, 0.9446185094786982, 0.9322585659859485, 0.9442751653819818, 0.9248471128954119, 0.9142347979131936, 0.9402964268868707, 0.9538670009803093, 0.9599995209709112, 0.9768948334479709, 0.9644603286629169, 0.9486554006954033, 0.9599039725850055, 0.9413975103856433, 0.949717333766422, 0.9582089578097207, 0.979623585418805, 0.9315105458071551, 0.9172047296310368, 0.9253660666529391, 0.9307054546005286, 0.924962668511052, 0.9355200357085265, 0.9189540221088669, 0.9018277513252319, 0.9103453621981564, 0.8972140284764688, 0.8885269008561185, 0.9114737001030627, 0.9179193890179165, 0.9420718958752458, 0.9471408684316502, 0.9473210223620776, 0.9320965352034916, 0.9420938417776998, 0.9428469971566099, 0.9516179988267357, 0.9431644698722171, 0.9273784181332578, 0.9174183995275456, 0.9198096851466292, 0.9060710812598868, 0.9071789051345809, 0.905863747955182, 0.9237144463209712, 0.8825475450220562, 0.8730132326603796, 0.8941727236445287, 0.8956489824993852, 0.8941793765426639, 0.8951699018763978, 0.8946488642421404, 0.8787149220071027, 0.9039047979482167, 0.9113967779751436, 0.9343415002976516, 0.9517087997462313, 0.9432886345127701, 0.959990340049055, 0.9468328978104569, 0.9453201174421916, 0.9367590942283248, 0.9497769947999348, 0.935417656603024, 0.9580368639358026, 0.9294593312496426, 0.9629929248417425, 0.931041521779451, 0.9144056976690791, 0.9435493374639484, 0.9747536810828433, 0.9583591614854383, 0.9535198577027164, 0.9634280552953801, 0.9732385933904764, 0.9903155441054929, 0.9684484878047066, 0.9503992307687795, 0.9186119060388673, 0.9360428746425873, 0.9246692157129504, 0.9241672584516635, 0.9369616325562062, 0.9429809485359301, 0.9286935055042151, 0.9082810190239786, 0.8920101316500232, 0.9135458725228621, 0.9099927086455436, 0.9075764476998772, 0.9004369389506531, 0.8931101999005583, 0.889988889925119, 0.8517729154262023, 0.865267965863935, 0.8951277157223546, 0.9149582342279157, 0.902753206219328, 0.9019042466433017, 0.9343315243354947, 0.9585155566730428, 0.9338748503940307, 0.9405155691471201, 0.9330462498249315, 0.9251326068727661, 0.9445879434434254, 0.917870070075436, 0.9283000251488328, 0.9061954774646772, 0.8831543193234447, 0.9137776661337903, 0.925713424656434, 0.9401521615062507, 0.9647525135296076, 0.97646828311094, 0.9550156474963365, 0.9703945598240039, 0.9515189996024875, 0.9288954882209104, 0.9281876971479007, 0.9366944527419933, 0.8838175872587425, 0.8875567782476126, 0.8755470945958537, 0.8874966439922216, 0.8840034963242634, 0.8765567895240631, 0.8763776204846632, 0.8673313315808343, 0.8556656943538977, 0.8355828590263847, 0.8266925808310389, 0.8166336363005429, 0.8373351645626531, 0.8833543446107179, 0.8957755783132371, 0.899353570697365, 0.9204265821978717, 0.9175717472159061, 0.9613529287832969, 0.9766918518360077, 0.9965373701974978, 0.994661295905211, 0.987016924023458, 1.0116284096332704, 0.9955204073018378, 0.9735355570346959, 0.9462839970158631, 0.9571914092192139, 0.9337146048951527, 0.930320752922033, 0.9186730458450891, 0.9269504126145158, 0.9223644560670692, 0.9282717412779221, 0.9206338435809505, 0.8930322504061547, 0.9147318670804448, 0.9145307836743563, 0.9092302024137725, 0.9207440656473073, 0.9281186946475765, 0.9358838125139038, 0.9353567122143758, 0.9157753619339289, 0.9106687208457523, 0.9375132656501715, 0.9533606991097133, 0.9161401867638325, 0.9106841314604341, 0.9250918493546435, 0.9285606122511146, 0.9448417868539263, 0.9464833980652797, 0.9675832088872365, 0.9635722643209085, 0.9570151931867469, 0.9298971138131958, 0.9457713265104412, 0.9367429739878389, 0.9323535879966004, 0.9393669292011791, 0.9326731791791348, 0.9347371512731033, 0.9245130205141318, 0.9164378034579944 ]
[ -0.00002592556583547957, -1.895666715273867, -1.4671104421037156, -2.1823503749151687, -2.232673482769791, -1.8447326768252734, -0.7129966680846651, 0.9116676899002313, 0.9899508518857179, 1.3763916350198195, 1.064725826156996, -0.021755917441651396, -1.1316766585105154, -2.5525753594370304, -2.7646494527065473, -0.9178687541673978, 1.2685991832367423, 0.9600556223791885, 1.7220219534052306, 1.7955401164546352, 2.0092918750219555, 2.319133269490803, 0.585287553214705, -0.14547455064590586, 0.4655171139183289, -0.1968084545123731, 1.2679439534294046, 0.4259818098301853, 0.003342604740695032, 1.8325722537029727, 0.9064477850180389, 1.2147362950146277, 2.1022769837618225, 1.9099270839053184, 1.1368574780918315, 0.6318025545127305, 0.34118526233021024, -1.2659677195336507, -0.6812365039303985, -2.6372749033837573, -1.7154836388583807, -2.579452860177747, -1.4820267633927737, -1.3945535214266187, -0.007365404497417183, 0.26505071855363516, 1.0857217056788993, 0.449026540181316, 0.26263328535391417, -0.09838958370264184, -0.2085092134355947, 0.0008398126116566929, -0.190006045428354, -0.6759825171404457, -1.9266880011522187, -0.7168110968326401, -1.0575658227276878, -1.9306974277264801, -1.6553145526606987, -0.3155710364889026, -0.03804128964304937, -0.06628259630100258, 1.0108876709851997, 1.5273607208366646, 1.3999971066461459, 2.116094672315229, 0.6375323238962214, 1.7865879500987427, 0.8932309700896855, 1.578282908814009, -0.8719993814889209, -0.16327401840092304, -2.178593959658385, -2.5802365353940573, -3.73412150584568, -0.6522152714945797, -0.14262211236421962, -0.20974530033432118, 1.1778863635299184, 1.013131453278087, 1.350732029616007, 2.398328712446092, 1.5304382292476324, 1.7398464750444464, 1.2890848741937901, 1.203114699546831, 1.650828404701015, -1.4159528448195786, -0.5635085415794239, -0.3264352249927429, 0.9338443920387492, -0.39154710891253375, -2.772411263359964, -2.1923341699806014, -1.3048574750234527, -1.5292674327963203, -1.854414806722955, 0.14560048766843625, -1.1001864753478354, -0.13438653686064062, 1.6293722344719774, -0.9889235135529284, -1.3914775331005513, -1.1018789065024694, 1.1123532886229235, 0.3017121117562225, -0.7531491462092721, -1.1922013070629112, -0.5209174860896238, 0.09581657673865895, 0.04087777704680033, 0.012979895408358928, -1.383865808712449, -1.5146240219738933, -2.0036234701245093, -1.779180091177712, -2.4070779534760547, -1.4662480135256177, 0.39922731577915704, -0.4298907101652286, -1.8775426499770616, -0.6756637515289545, -1.246169353721111, -1.596544226178091, -3.36579193351025, -3.5865892004785915, -2.4818201659859476, -1.4500265705688276, -0.3640420472836844, -0.5145387447012844, 0.05234762169824414, -1.2344219369274618, -2.070506397688052, -0.46463057236324357, 0.37607478617918516, 0.7488495808202802, 1.7501931926880074, 0.5996494633693821, 1.4955400812916753, 0.6544783425571017, 1.2231055589171405, 1.5076228056892829, 1.6576943645585624, 0.9912225585439234, 1.233566523341012, 1.7103149000240472, 0.8813341548320222, -0.282745740775707, 1.3209349671362387, -0.09019171647060542, 0.4881471757014496, -0.11223190761137491, -1.2658784833734527, -1.4085597658535194, -2.3856822824854507, -1.6247160869870112, -1.352323858069004, -1.3720372587610699, 1.6398503749327067, 1.4832236655310913, 2.550612518497821, 2.340794069195032, 0.3910549535256571, 1.378216463355859, -0.6580544853336672, -1.0681659409534852, -2.1655447484440953, -0.43571745586426003, 0.1202641577342306, 0.013425298046619367, -0.8490766664197208, 0.4875211240760918, -1.6017723816776321, -1.611283097193381, -1.5260073740980156, -2.394887100728568, -1.7530696022800327, -2.156239186714115, -1.9319088350853022, -2.3657948203642594, -1.1064685888373746, 0.14091088361394144, -0.7882179246612612, -1.0670287616887306, -1.3476417786080548, -0.956258039585431, -1.9446492775222612, -1.9668824388304613, -1.6418895323089333, -3.005650832849388, -2.55011594668703, -1.677706346003316, -2.2691653734753032, -1.628005298647369, -1.0429708278713838, -0.7859688994882253, -1.458909418495527, -1.5898887907974264, -2.215239392658552, 0.8411212675850077, 0.6745098386587263, 0.9668054106802373, -0.1227507235414187, 0.22916195095127634, 0.7997453246574893, -0.26560668856928926, -1.3187620891785392, -1.6455702839362762, -0.3568796067560578, -0.0009422994868093504, -0.5703362301206545, 0.4974168160528467, 1.4615414411368808, 1.7122331513022018, 1.8996599699746046, 1.6772018384803262, 1.8407679198636782, -0.19989492066251358, 0.06883690263839348, -1.080464485060125, -0.6295786612425408, -0.5342696623540969, 0.9154310071702434, 2.3634730943432753, -0.27698519961513846, 0.3497402654302879, -0.08351201504019384, -0.9774518036158719, -2.37844559815861, -1.7316236983328617, -2.0832050516001197, -0.5904578045114075, -1.400758822749947, 1.55162119390516, 1.3746259564041505, 1.232114803741708, -0.6254380935049103, -0.9648390030628718, -1.3166631809402563, 0.7362139174143445, -1.4695008100473812, -1.9610113348912774, -3.3172870569317077, -2.3154081143630503, -2.5389170457137955, -2.052211094955582, -2.8647634677444938, -2.1675598268919947, -2.490803632984097, -3.3514887212258158, -2.7368153202023486, -2.143830367980979, -3.184963979348991, -3.189996697973002, -1.7770075011697348, -0.9996043193801116, -2.8111537249502128, -1.2815829473875422, -2.128312493169637, -1.2944773920692825, -0.5424080658636066, -0.8381960032561482, -1.2943409166124689, -1.3018763693669366, 0.43909221303877044, 0.6839505721108338, 2.0543138298249706, 0.6270352850182637, 1.2648828575580524, 0.12174943717933728, 0.4481108602939734, -1.0919664091084587, -0.39078111945846217, -0.94453937699578, -0.3435672999136171, 1.09165430734532, 2.4376376270176725, 1.9691157348952133, 1.227728764868956, 1.8261503422579237, 1.8585599553264869, 0.1350561798929646, 0.4327177951602739, 0.7641725457549614, 0.09694936756296951, -1.8149635400868362, -0.9841250392488597, -2.3776860268581976, -3.1977587899308544, -2.7568823693558078, -3.1716158430482437, -1.2472822410929985, -0.8683025562899911, -1.0095019346806196, -1.2505696955818675, -1.9565287769058308, -1.821981886203105, -2.079445608172671, -2.839805346829299, -2.5680145285768905, -1.7731780752325328, -1.0830240526783277, -0.7874627679177355, -1.022207070066032, 0.23343691749647233, -1.1629872558027206, 0.7313053969634531, 0.6933789935449888, 0.22944291679966827, -1.2929098895331401, -2.1338587651407384, -0.8015493016750515, -0.23944537405335686, -0.21400347896573405, -0.7748634691400724, -0.01804414868033799, 0.1043787419742005, -0.9595425627426131, -2.0493285082249217, -0.8078471623635375, -0.49598900236881327, 0.33380876255015934, -0.9372947686131391, -1.1616377867282872, -1.4380943076388673, -0.9844181516295175, -1.2837204150484416, -0.7107890210026685, -1.4060561301277286, -0.3402544177106812, -1.4269574235478406, -1.9322630815254676, -2.992667672166478, -2.466635085693504, -1.3016495368663246, -2.4817190795276387, -2.081958144685212, -2.1597105068354825, -2.646567632922573, -4.237466109436638, -4.076958153541705, -4.174706305021772, -3.6241126270801325, -3.044423778006801, -1.8071454061722672, 0.6572198431049847, 1.3410574435451665, 0.9518588124098957, -0.027210444988211124, -0.9854140595513973, -2.947709004347773, -3.8797187674792344, -3.6353361457575333, -1.8672279467710358, -1.4515532527507224, -2.0145019394612396, -1.9149106297574543, -3.352354102328579, -1.562742888852704, -0.8734891680244049, -1.5365416888303425, -1.2944397045021554, -1.0566444360651053, -0.698230534417922, -2.0658113095456487, -2.0571864229825385, -1.906617204355532, -1.1021786611365396, -0.9556367541421049, -1.2070836733316335, -2.122677338766943, -1.7183228393779542, -1.0974405429523357, -0.4110084289901358, -2.1408883468198736, -0.42749017280417756, -2.612800665093496, -1.8812923725654354, -1.7554873493801153, -0.7625302089355099, -0.09498529040051007, -0.4937671310021063, -2.3316411023465275, -3.679367956528623, -3.3285079752826925, -2.6394464064960124, -3.1310721588905412, -2.4248046498870015, -1.2965864803791058, -2.8390201850560626, -0.9448856268292343, -0.6296340943506136, -0.6866599391161143, -0.12604834430480527, 1.3590502011523586, 1.8910762655914528, 1.7409754041911736, -0.06382164452830819, -2.839041550122549, -1.9490804258331806, -1.0730479094112544, -1.0704680436946528, -1.0429064963218173, -2.2994800325839786, -2.2046742132236625, -1.0556773674967557, -1.2027083563578984, -2.275620626154887, -0.7302964460033612, -1.3118305829748313, -2.759217386487359, -3.034653547280518, -3.3322332839687165, -2.087074609795486, -2.051385587362338, -1.6981648027759026, -2.0330305829146758, -1.9067452480987839, -1.5921424422585062, -1.6078145809554738, -2.039123074347417, -2.3521846522389738, -1.2407870848988458, -1.2668821856846304, -2.692563329917749, -2.1660709289092375, -2.4411022407868446, -2.9997496718236922, -3.8464452157337172, -2.488570985066707, -2.5028025885514995, -1.357509957192958, 0.19023021513713978, -0.988667709165775, -2.4941919140763686, -3.047880737033984, -2.181285728058578, -2.263384116815716, -2.2002069305388106, -2.475036263482702, -0.12547650253401965, 1.2504325138988168, -0.6829884713852532, -1.4536593090871806, -2.4450178517930983, -2.376719241719565, -0.5621153071634448, -4.145097475463461, -4.44052840980487, -4.029641681995868, -1.6683884301452314, -1.2172300269019896, -2.575938697611498, -3.328375225432255, -2.206325972177406, -3.5592422959072314, -0.36450623179496944, -0.8774278639166341, -1.5189622056549734, -2.834189865531369, -3.9308577502658575, -3.4821689233253843, -2.8241526798805796, -3.311549590123996, -2.6231183306700783, -3.503026990014094, -2.6523162695196163, -1.8744408228061193, -2.0701330374669835, -1.3827212865262215, -1.3224530062579631, -2.7628194075935566, -2.902904296681112, -3.4438186708135023, -2.7475083607009525, -1.4037041652368913, -1.6656703497788807, -3.15082338363639, -2.209045254751026, -2.6795958190598577, -2.3799897501898872, -2.510966335708576, -3.2115239224145347, -1.7968493104508574, -2.0253890302883244, -2.3263175720267713, -2.5616422685091926, -1.7843122984601867, -3.9786837485255404, -4.018515129931632, -4.252203869958186, -3.983915057879582, -1.9599784548319372, -1.2755302349231976, -2.543923097726527, -1.3300312860573582, 0.7767073436869918, 2.0338786652661303, -0.5460625162134736, 1.1586875541130108, 0.3641786049681072, -1.8329657726998927, -2.4978660382131537, -0.6669937467936289, 0.19747265079613052, -1.62120453982966, -3.1793637747981194, -2.9039170588497827, -1.8785857705405076, -1.24587493342695, -0.5324825606600974, -0.9587797483822325, 0.3455264702849181, -0.9084578227631432, -1.6962827069490054, -1.257324458339264, -2.283529228489056, -1.4216557789693143, -0.9405957225443434, -1.1669770601374758, -4.127410361055832, -7.4337337589815515, -6.163281928139643, -5.427871598201461, -4.555253470450767, -4.458287777888463, -3.6861922325325307, -3.493803708755181, -2.754486866865326, -3.3546503404000583, -2.823084566165498, -3.117891960496894, -4.644539465150876, -5.627426874452779, -7.255917029437793, -5.493362898831489, -4.377262751206675, -4.453975158260092, -5.110402344923053, -4.890157246398723, -5.895682181096082, -6.563799576031274, -6.342992069739269, -5.225010028222096, -5.151079588130588, -4.632813974259688, -3.895903275255341, -4.201055434876801, -2.0243002192554203, -2.3110791019878048, -2.3834859217152937, -1.2662827556608531, -0.7519746600937197, -1.639458658963837, 1.000871317702423, -0.042485123739383734, 1.1789421938590428, -0.26700523164690115, -0.8676469491505974, -1.1869333349832492, -2.5123448272348856, -2.790798375265414, -2.3166861729817128, -1.8522855063568469, -2.714426121514193, -2.1865484250335734, -2.2919731838883735, -0.5975478937465368, 0.3235628694275683, 0.3391996411635819, 1.1356268588936638, 0.24553179640076422, -0.6153517722105112, -0.16810482716934338, -0.7019259289926961, 0.6915702306602245, 1.4232824530469177, -0.007173997906977592, -0.580215532258529, -0.8171121521301002, -2.0817555244669506, -2.592917538170671, -2.0809533160937037, -1.8868767410291158, -1.6612605607799342, -3.869818945403499, -3.7384630911392, -3.2046508582284408, -3.4300964450452023, -1.6886668049597777, -2.428021954310023, -2.301165702968425, -3.9359767926893854, -5.216535072762554, -2.816348087369581, -2.7757316692347143, -3.4487762562455315, -3.9022885146020716, -3.824955265307505, -2.6695211290693726, -1.754972390352107, -1.3520860530759502, -2.423851180433642, -2.567505051122538, -2.9729750691799794, -3.2530409179443875, -3.1817898193873604, -2.0191385188963618, -4.316940256687166, -1.9828940179891208, -1.706878722635223, -1.0915445148913365, -3.582157621568906, -4.76794187725388, -2.5121669777710656, -1.9321380474262426, -1.8590834406488923, -3.0992510602677026, -1.7712577033756347, -1.7478316000106513, -1.538568128566214, -2.732405781326607, -3.1712234500389336, -1.8737321062121064, -3.8198910267419093, -1.6794534746161538, -3.1083460851061386, -2.2568189790380835, -3.6216877685702835, -2.2992006614198774, -1.7435945518230764, -2.371950832548294, -3.3356428831256753, -3.1342079929904236, -3.4366377094426293, -3.989502190177018, -3.8390575752800746, -5.441270287389806, -5.093927396566548, -4.584761927223157, -5.124858662211063, -6.284833114570587, -6.327392357486198, -5.7256188013752976, -4.69674336202304, -3.5877508097571673, -2.469372276332034, -3.435717279785914, -3.2548490412628945, -3.12111897361152, -3.0919477037419627, -3.006114883448052, -3.161873478348416, -4.525898302336817, -3.175564555268406, -1.7005112196881733, -2.8331981125059027, -3.1366919011216585, -2.0294913005586084, -3.2066461556886585, -3.9672035198347064, -4.037318431164298, -1.2651661627498103, -3.3525246497774557, -2.6917253002010484, -1.602685721587678, -0.24216255984387836, 0.1566632183534592, 0.7669108973600904, -0.24106312791855344, -0.2272452065791934, 0.7790888622592905, -0.055594242972882374, -0.0847579967202739, -1.0085760106329404, 0.3796175329754716, 0.26396550505205313, -0.02043086357216281, -0.09020958438452026, -1.1140035971942435, -0.808301748055237, -0.0008251397488403533, -0.4805019552316851, 1.012420772508257, -0.1675696432900216, 0.631620663470639, -0.8514355197967067, -0.14798616622629035, -0.5411680720747816, -0.27958312698387167, -0.43810070624571296, -1.257512651657383, -0.5312562022143286, -1.6913985499264628, -2.1284265400172533, -1.0430143757928483, 0.30877421433731556, -0.2271948127071316, -1.7775097432013007, -2.855903614457512, -3.304452106361277, -2.9431967318195236, -1.2432536673886974, -1.1537541321593532, -1.4510557876231431, -1.0777377606022442, -1.6918932422303945, -1.0289643718812076, -1.7994762166466796, -1.119821756651401, -2.3405024314262763, -1.6102518543660804, -2.487496151539825, -3.0001378278284077, -1.8338297347690569, -2.0953578728035844, -1.9297942938274304, -1.9231670583251605, -2.443251430140785, -3.733435444113935, -2.6296871258943875, -2.955768174420242, -1.5100985353569714, -2.2775744384869183, -1.6332176342855929, -0.41585013897723, 0.4539234559805927, -1.8649640408596482, -2.011427123999052, -1.6279080281702774, -0.8831394594504943, -1.5259121247686003, -1.0582920164678185, -0.21175851332305418, 0.4114595925362071, 0.7524874460023467, 0.5082686241994732, -0.07149941093274605, -1.058861624190904, 0.3069595219000554, 1.7555884524903795, 1.3897738604696859, 0.43362712744917015, -1.2559622774823676, -2.023842893850903, -2.8432512392268423, -1.8424611845370467, -1.4895595795692227, -0.9195313569086079, -1.4691398937114952, -3.456111321617686, -2.53579767410635, -1.2877862605105808, -0.03198171149290974, -2.0296160677587456, -2.1314270497674688, -1.2595298193374722, -1.0618300972300811, -1.8887544725401448, -1.731641709493187, -2.3141745774643034, -1.960411183449401, -1.9324939321970271, -1.260083374341534, -1.6870773577059768, -1.1376198212894348, -1.4696631254088612, -0.1446827035417444, -0.04157883666560752, -1.2220433254784067, -0.45529915406143495, 1.6278515231560702, 1.6759101813346382, 2.127269554978873, 1.6122085404896254, 1.3920747942027711, 0.692870512826926, -2.4923319420386365, -2.114931833318536, -3.951693827637654, -2.4893120634834265, -1.30185881342525, -1.6299413340069902, -2.5561510960731324, -1.8603169252325533, -1.2430445895053834, -1.576101020763936, -1.6438033346654986, -2.500439736613993, -1.8016655481462962, -3.013686694562077, -2.958430256497744, -2.346721620376924, -2.1122115576881315, -2.7767063329609636, -2.6124466902320904, -2.5184523879413643, -2.4369317071214116, -0.6203776380652699, -0.6895331065648944, -0.613874668750078, -2.197797571516011, -2.6899723827549593, -2.435639310296916, -3.6016375115524593, -4.029454319760554, -4.658402394297833, -4.590717264178787, -4.035995417430682, -2.1242626181864277, -1.1781341314727265, -1.5353790272824654, -0.3861350935085177, -0.792950059734911, -1.2464971443412243, -0.6615463458582349, -1.4656352255725515, -1.6390972129972994, -0.6583628952976721, -1.6930419563345853, -1.4049036725496395, -1.3651453562997808, -0.36923434234230634, -0.5218075984695276, 0.8611124567436603, 0.4027975822621608, -1.4486392711270164, -2.525694995350142, -2.733606291644331, -1.4571673820157807, -2.5870956844667656, -3.0122119000107785, -1.8823990998690485, -0.5625491355009171, 0.46620136446117066, -1.2437372379319276, -0.7419219391002001, 0.5197839388940255, 0.9571406954882447, 0.8593531897889325, -1.0756357119411337, -0.6172661191334768, 0.05667032896171409, -1.271095296549659, -0.965090551522604, -0.8954374211389573, -0.9756408102554355, -1.6993464414933537, -2.5638660331340994, -0.7844560755319392, -0.699705794777916, -2.90323885302612, -4.335187425778012, -3.902955446714367, -2.88724670832066, -2.045216554532001, -2.6351422166772616, -3.91447293567761, -3.451065839453202, -2.4304387894553825, -1.6471542873603986, -2.207321790840217, -1.6920946881754038, -0.23731588421576988, 0.06184426249770392, -0.6479743324114766, 1.1600166135756742, 0.8268543872427643, 0.6189299906380927, 1.2899117738469488, 1.1677297047875799, -0.9824091577751244, -1.1874710226832224, 0.3184940750877996, 0.5447561510007238, 0.6995538048053896, -1.0058409017182657, 1.1428313737943177, -0.36418886053886734, -1.6518256006046195, -3.779979130982767, -4.667333783224478, -2.904499165326442, -4.46720721126884, -4.443474508863829, -4.522819810587249, -5.251376649782663, -4.156950313002268, -2.724651859390402, -1.5296864640557477, -0.7981717561647917, -0.6496945369286302, -2.411088372715803, -2.190895905894021, -2.2631873499842277, -3.7121245639320737, -2.7829319405614914, -4.26611210445697, -4.944671830882723, -4.4881925694782705, -4.901119725418141, -3.9944639591888382, -3.5822590852078933, -5.111300775106327, -5.5458502158794545, -4.490805644904995, -2.2611400201242033, -2.055794366357344, -2.045413658053134, -2.4796846767263663, -1.5571585989614674, -2.786946248453943, -2.56661156410716, -1.7462418974650085, -2.635872176235594, -2.3984537980691605, -1.9241446850193462, -2.196981831203873, -2.2273208606470285, -1.8771011883586077, -1.4279739097635467, -2.1333145297939047, -1.5967243614499729, -2.6501764311924942, -2.040092053056554, -2.214789665450347, -2.8645586699798837, -2.3082665016235766, -0.5967732914474264, -1.4462030380962991, -0.7318548125791605, -0.6554477681212796, -1.5789808205139622, -1.0951551017283654, -0.29860696597591274, 0.019708259487264845, -0.34359360202937195, -0.4033126398373117, 0.4867901842454727, -0.9247953248660126, 0.21350865655152185, 0.6111891844465216, -0.2132556701714161, 1.8550501435422504, 1.850222260492897, 0.6351023679496927, 1.1791839791432885, 2.36575277862751, 1.3400999033796133, -0.05193909628503557, -1.9794843421154529, -3.1909082518619583, -3.814678161183964, -1.986624524624754, -1.698017555454534, -1.860791838509263, -3.2075448609718373, -3.1001350409619395, -4.07122041114605, -4.458301465353313, -4.962928038560853, -4.556289068709903, -3.798519808639968, -4.055465668056133, -2.9748992908188177, -1.3928735827845655, -1.3226218870709239, -0.10031532707233581, 1.05971600386142, -0.29999672164245, -1.7018695408194606, -2.281224086583429, -1.5105044543287618, -0.8906240571679583, -0.5318956334080939, -1.4956911311095666, -0.3943008355307902, -0.5881142897089153, -0.6325942371152417, -2.6192646768062886, -1.1337231296702184, -0.7055497627823651, -0.4902315827139563, -0.46463404687309323, -0.8407233650477735, -0.3047379240583096, -0.30364769748002357, -0.3646785915832654, -0.7194568246998589, -0.6794802506795071, -3.434688296481249, -3.0649909511420748, -3.116587149545658, -2.0276336908821984, -2.517511899723095, -1.1433695144697047, -2.5411419547866374, -3.512870939878529, -4.917999217985728, -5.992982844873846, -6.12904033450784, -6.475548442976041, -6.190119973509396, -5.434372645936341, -2.852680428551565, -4.190109316520648, -3.580258867761204, -1.5332725010243209, -2.1956791689242303, -4.365589156746887, -6.072453066006072, -4.308270082877338, -3.1745230881414996, -2.8283330412660326, -1.8907263825531881, -2.423573556509265, -2.6235038879332713, -3.2903526590320946, -3.454922140054558, -4.402139764941463, -5.246714465294801, -3.195717289069595, -3.0196770751533077, -3.349079418711102 ]
101
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Granger Causality" ]
Granger causality is a statistical concept that determines whether one time series can predict another. While you cannot perform the statistical test, you can check if one time series can predict the other by shifting the time series by a certain number of steps. Do they look simiar after the shift?
Causality Analysis
Granger Causality
488
null
Two time series are given, one with an upward trend and the other with a downward trend. Do they exhibit similar patterns aside from the trend?
[ "Yes, they share a similar pattern", "No, they have different cyclic components" ]
Yes, they share a similar pattern
binary
[ -0.02241839024478074, 0.34602051524669225, 0.8480802601590709, 1.162435787089354, 1.6154816528032057, 2.02688639952688, 2.1269360952234853, 2.41305465460535, 2.67505785631808, 2.334004362198541, 2.575714072564475, 2.5713990796967607, 2.364982057893742, 2.019777973146094, 1.7141410763463816, 1.3725830798095031, 1.152613062201642, 0.786798872276639, 0.40121022116934696, -0.023369223119490287, -0.500890255472035, -0.9287813838253524, -1.3300714188000005, -1.7891065758076008, -1.9887465734560246, -2.069654795441113, -2.3390541149583095, -2.4374313397627434, -2.480469656868804, -2.3743609745174026, -2.125959233524466, -1.9504369037630611, -1.7069692346116159, -1.3692400011505024, -0.9186998833268982, -0.5678735334001324, -0.03729337474673727, 0.26608837979411304, 0.8145067198089547, 1.1197079141078168, 1.7475652620052176, 1.9690205175380506, 2.2613227540167102, 2.5654319039919473, 2.687089779055426, 2.704380577834819, 2.763418679997861, 2.8226016830703893, 2.9013703965960325, 2.55274300817769, 2.235758860383474, 2.01177981118153, 1.7573671951945542, 1.322938476230409, 0.8845724202593415, 0.4457081088504041, 0.07088648259002939, -0.2947738404348087, -0.9521407155108444, -1.1084897255315902, -1.481799364584682, -1.422050703653066, -2.020230153786666, -1.9725721240521032, -2.1575070738296276, -2.0512732973363845, -2.084407141863106, -1.82790498197385, -1.5568031987335622, -1.4365001761230793, -0.960599059094436, -0.4518565715576925, -0.23531395954471002, 0.42793957081755934, 0.6850769162997005, 1.2164048443391, 1.626843646558959, 1.8597329671100007, 2.350515705901699, 2.619426497245064, 2.786165213539449, 3.0626744077772683, 3.0693632999694547, 3.113191776893972, 3.1042691109788376, 2.796269977097342, 2.8709377880501696, 2.4388642733102928, 2.285791992674503, 1.6850604757311276, 1.5725712370928362, 1.1342786761684156, 0.7212764543624369, 0.11385938221516664, -0.23949181605431152, -0.44164762070789954, -0.8683065189723412, -1.11294289498975, -1.5888679070489922, -1.6416354590847522, -1.777331092950839, -1.7998840450732714, -1.7185632046037802, -1.761733059610476, -1.4249100578806912, -1.2656869927963825, -1.1565922478531576, -0.6229454881305344, -0.1488109277058972, 0.16439763723385442, 0.6657952387859105, 1.1700204535069367, 1.5159765214595091, 1.7946607081444093, 2.1749874227691124, 2.76726449933352, 2.8751114425026105, 3.0182265165346247, 3.330053675674816, 3.2795142893478015, 3.3881910288036408, 3.329374076344903, 3.2771781105706173, 3.028307048519174, 2.574493391941488, 2.327622948520311, 1.9137632765380026, 1.701784217943192, 1.36887331579157, 0.8528178918854712, 0.5758467854876019, 0.05198907610843146, -0.27521353840588275, -0.6719498243599533, -1.2056160325276428, -0.9784507377265612, -1.484860543748773, -1.4766151546294728, -1.7475075683155596, -1.5109541110661333, -1.2962045663277488, -1.2678218151709575, -0.7538812598844638, -0.6544480795880907, -0.203013220011035, 0.14484568225957742, 0.5568782729893681, 0.9828508424400076, 1.5750284986424556, 1.8288060720056094, 2.1695967765696356, 2.7888540519017258, 2.9382814480730572, 3.2322853452880698, 3.4704081546529744, 3.478754294311751, 3.705220625311656, 3.7297666584167968, 3.487542280038576, 3.384720456067365, 3.1261283670230857, 3.15186373355794, 2.707114816754009, 2.2095520040676147, 1.8623262162900964, 1.46189036361197, 1.0160738483341867, 0.6894281880990106, 0.18541056185245852, -0.14234377362908096, -0.52391220524602, -0.8026397725578654, -0.7806424267230494, -1.0973884191546366, -1.0087394929340028, -1.2388888385589516, -1.144315624842509, -0.9161140984056224, -0.820393148105663, -0.4578290186362334, -0.3533967106802005, 0.20305674310082472, 0.4783730886773167, 0.7557869857095272, 1.2941613852283929, 1.8168511981135367, 2.3151674216115805, 2.7644826776644598, 2.927451289153613, 3.292391061444718, 3.518738804243368, 3.775664639177839, 3.958108548654362, 3.8011192023667695, 3.943616399781145, 3.744048060389904, 3.6850505869228813, 3.5764282208304947, 3.170073020133069, 2.785162275236607, 2.398174326775851, 2.0885268515602875, 1.635380603706818, 1.2790168377183433, 0.7306925372943152, 0.5664917912604768, 0.08743711215942353, -0.4754644090268846, -0.49786323701340635, -0.8052956936466031, -1.0173772983709908, -0.9980952059719006, -1.051729916155864, -0.8938846189194973, -0.818352493749239, -0.43831515736874094, -0.1821853993362951, 0.2207037715016468, 0.31600693416765224, 0.7211457127865939, 1.2747078195338206, 1.7397975988348664, 2.109752596048377, 2.6259060214373773, 2.8682571459907082, 3.429230932942669, 3.649873482338343, 3.7815859097240296, 3.9643120523603317, 4.137016961587734, 3.943904106677435, 4.162414112224149, 4.008828792541126, 3.85714793005609, 3.557739697902663, 3.3866498886895835, 2.9674568072411454, 2.69591394886892, 2.369503834855423, 1.9594428954970287, 1.4662242253413837, 0.7967687467146776, 0.7672913182116932, 0.17817756712328064, -0.19698214000801853, -0.5253591692083717, -0.5662360738011748, -0.6358481933572719, -0.7555396964187612, -0.6729923774723322, -0.6664475512308259, -0.42997522881284933, -0.20247747606330688, 0.21434124838724558, 0.5075876588005799, 0.8169436416564729, 1.3745704535516672, 1.5914816935616742, 2.19476199755465, 2.5054786876587123, 2.785711921582276, 3.4121964204921755, 3.7237700907329794, 4.011788023254931, 4.2702754471672915, 4.50978943216882, 4.522956529856197, 4.4952322914087866, 4.452248303568981, 4.376964145760103, 4.009514187703202, 3.8239815978298988, 3.4443716463407226, 3.3704811475679888, 2.6387554490294804, 2.199552627237685, 2.0936888229451585, 1.5188778438176467, 1.1425664834618214, 0.6621145725534466, 0.5215842077137254, 0.038179940725633674, -0.16607432425882804, -0.4719120683535484, -0.47692874579330297, -0.33294772969126185, -0.32665504728456923, -0.4385628399704056, 0.0956835391593957, -0.013301887299763962, 0.5094871242759644, 0.5950297960506812, 1.0599956757594469, 1.740630769923513, 1.927279572070757, 2.3416702808317362, 2.8274230389726878, 3.0603503845929856, 3.51551918422163, 4.0455210382201825, 4.078637416026996, 4.440238694091033, 4.782342199418336, 4.603242376777716, 4.771154789542363, 4.671212201633028, 4.614900366032025, 4.487808278202298, 3.9563675035305876, 3.7176894659730677, 3.374908437749091, 3.0655716584304424, 2.3651158809733954, 2.2754852447048957, 1.834876580801267, 1.3445824759857272, 0.968428370911569, 0.4720414148439672, 0.07590414098827661, 0.055291519753845504, -0.2434352682698747, -0.18462931779018774, -0.1568438570915825, -0.026365114252378447, -0.03799174995580472, 0.05325970856519155, 0.45138659381325275, 0.8526726358525627, 1.1498476197855136, 1.602256277595115, 1.8737082971433776, 2.322441905366425, 2.5394964038388697, 3.1856724128301948, 3.778078695099991, 3.809251532014552, 4.38864029392884, 4.673929353250448, 5.050449129733499, 4.745164746511875, 5.1504552043695835, 5.043803975554728, 4.924947280372561, 4.871962080342088, 4.536602529484202, 4.136297319639197, 3.8629170809614335, 3.539458261020165, 3.122306185551687, 2.6062301724534374, 2.531719065002577, 2.202929617101328, 1.5476805171258428, 1.1295254006896351, 0.7088084103731993, 0.4539480998491224, 0.3133029116068385, 0.229857456311171, -0.08335562677310204, 0.03125403153804714, 0.0579888252052997, 0.6094749049937458, 0.3374354652264018, 0.6170167034606752, 1.1543770149443182, 1.3366584035459517, 1.8576482521220732, 2.3553464963854926, 2.8655133050905293, 3.1640412867237675, 3.388866178512642, 4.033401509299527, 4.126151554949554, 4.499134840909079, 5.07807191611094, 4.949046659821258, 5.161066656588978, 5.277202037733187, 5.229045342117442, 5.245706439188121, 4.956572827766804, 4.764418157550846, 4.649345261140926, 4.053169134374806, 3.842952471635817, 3.2316997958130926, 2.946972648149803, 2.4318542201825686, 2.0852157362587844, 1.834989646331002, 1.3420207255625722, 0.985972600887827, 0.7443641737624443, 0.5358598814640493, 0.23942076314712063, 0.48242498330147315, 0.3154171031251716, 0.3871813416532248, 0.6531734065916468, 0.7480954515688241, 1.2280435490738841, 1.713996157709731, 1.6209494676969682, 2.1024651625846245, 2.7302142812637054, 3.116972412210576, 3.5026435364155666, 3.942614870521963, 4.237090628163298, 4.763419047596124, 5.187279363896895, 5.237959886875541, 5.203427832720816, 5.452803640528909, 5.5980913294872225, 5.6228946183992, 5.3880139332302734, 5.261532064269751, 5.029603299278858, 4.810026223647292, 4.375748881427761, 3.9602450626682932, 3.4422842035460777, 2.845995115953652, 2.795230109909353, 2.2058880780282357, 2.073917983022141, 1.5655344709699661, 1.0031204837179564, 1.0393035483748196, 0.717321071162416, 0.5496587634255574, 0.5763154522781856, 0.5807425256387911, 0.6894492421731273, 0.5717064966388923, 1.095800054566195, 1.3718101028928142, 2.0222115228314266, 2.0335727846981015, 2.4962238361792295, 2.9981132311906977, 3.428611060298545, 3.8984204893573744, 4.269824433063589, 4.548610985210315, 5.103770053537339, 5.283272142909493, 5.473739852955257, 5.620890917212162, 5.777086113391042, 5.959824352521699, 5.6315896592924695, 5.812435472600002, 5.476058337521943, 5.182378454248973, 4.897894047856483, 4.572962891001396, 4.218140282596048, 3.653989180005863, 3.5075427366754264, 2.9540158896443347, 2.4219145168319796, 2.0889655910641496, 1.696190971051221, 1.3183453736651611, 1.2059993147228298, 0.9738055590945764, 0.9253354518505768, 0.952666874413466, 0.9630831633240109, 0.8827696340260229, 1.1743864309308218, 1.3134802137684167, 1.62638375402164, 1.9645393353387337, 2.376767644779327, 2.8021908977037535, 3.1148056161606963, 3.765513760483873, 4.124808932792208, 4.5426675779189, 4.963623675439732, 5.349110236111428, 5.74325595526656, 5.765308967028548, 5.927834585204007, 5.956122864421041, 6.097625052410333, 6.148547828568107, 5.746353864688004, 5.7199327181596225, 5.489120266542636, 5.122666926135053, 4.773215266116509, 4.245181152175768, 3.815289569366107, 3.6614557227275903, 3.0044407752523754, 2.6306367643017174, 2.3019755449475428, 1.9515710834623974, 1.7443705887252783, 1.2215321024887253, 1.0750670639913822, 1.0793527617571022, 1.0753988522499227, 1.1338564222373417, 1.289964297735649, 1.384110733535642, 1.8396721460044874, 2.178107853078123, 2.4851396008558564, 2.757856593827189, 3.377737293090363, 3.6719132626046136, 4.175628024533515, 4.464009303953575, 4.815705894176826, 5.3426899245559705, 5.840366441239006, 5.956723923116192, 6.249655068252463, 6.330275929996696, 6.250406859048749, 6.3119618580055645, 6.332582465854651, 6.222718192752253, 5.863268216326074, 5.373344274053763, 5.33268510309962, 4.980320773686421, 4.551390423833629, 3.808997444555525, 3.6196462715259017, 3.0490173737772057, 2.7994416869058374, 2.5504978901507696, 2.222661067711526, 1.8704682225089773, 1.7798240568826624, 1.5298235927545272, 1.5626357706353906, 1.4847436700906338, 1.5034553978779142, 1.5133696337022466, 1.6569317967428685, 2.04553245804665, 2.3890141636144144, 2.7526294504455846, 3.250924400445952, 3.7430488834535014, 4.207623122753588, 4.346109155771202, 4.947835778086172, 5.34007639741148, 5.561712090725242, 5.823855351542425, 6.095658265900978, 6.267641151848618, 6.48484056069319, 6.662022212339768, 6.547115594743359, 6.3667771841170895, 6.170689267298739, 6.05292363548267, 5.792547634150444, 5.357986544050447, 5.032338653801965, 4.653177955212295, 4.3681532078833625, 3.8081628419423135, 3.320953481824948, 3.306330086787008, 2.537972959069101, 2.409367219545708, 1.9867957868100183, 1.7629299351017285, 1.5278880274796476, 1.7324693095254198, 1.5744978463070514, 1.8523940493975577, 1.897229604485074, 2.1365433935321296, 2.530911063800832, 2.8862339267732096, 3.180188176913054, 3.6248477430245307, 3.9846414141642335, 4.27495300293727, 4.961129146257791, 5.281614612293832, 5.70107887446788, 6.002107598329362, 6.359811895777395, 6.5291098378296715, 6.831388387487091, 6.92774351732021, 6.8146605346944575, 6.816427125270958, 6.770652621440746, 6.361180223674787, 6.236181418342415, 5.9942369901471775, 5.594827656993052, 5.295267275571734, 4.749415502276409, 4.4268774393201005, 3.8349280115780977, 3.5483335663158773, 3.1979105981525704, 2.7510872626602314, 2.5803879053564107, 2.3256410757016255, 2.1700483341623027, 1.7749352341027385, 2.009909569218822, 2.0425552180114495, 2.124878662210388, 2.16780383345005, 2.408137562042906, 2.7020555704022886, 3.1158019733618794, 3.3985890237898033, 3.7834175320047487, 4.264780233807379, 4.859497761354262, 5.050772503609753, 5.699506887862504, 5.891780173360862, 6.5350473694735385, 6.773385982231247, 7.039180612601202, 6.931492359623022, 7.150519343502784, 7.063303935579821, 7.002984859043325, 7.015739674245504, 6.730068659931174, 6.533781588520964, 6.187880975461214, 5.70465384892033, 5.534741831105847, 5.193722714466963, 4.796203973004181, 4.1039074493896, 3.6545039767287615, 3.275490877684802, 3.0467021720995042, 3.0047564573882433, 2.4970932919219555, 2.429664906634908, 2.193062026493602, 2.15850272379943, 2.1045043050108, 2.408289918340738, 2.4689572709578793, 2.7703932451514124, 3.20227186060336, 3.2837774080759434, 3.7931947967722186, 4.284927746505463, 4.687655963134881, 4.985537138428921, 5.525378030081073, 6.123445800580413, 6.350681831228344, 6.6112106826092205, 6.8945050468788605, 7.2156389899898175, 7.455911760624419, 7.5417072649357255, 7.321997169334109, 7.504637836105774, 7.183987802046514, 7.071260336746933, 6.789426538239157, 6.515950032264865, 6.215359926373553, 5.763273521496361, 5.267312204862867, 4.912337311776698, 4.270634499957631, 3.79550814992513, 3.512096760694221, 3.1523133252054283, 2.955405841621888, 2.78458345236914, 2.5473242669973164, 2.4909009991191673, 2.5805714596220435, 2.4952063445730457, 2.6565013330915255, 2.9197123834678624, 3.0484149050066858, 3.415935312990755, 3.569003911112871, 4.015891320849829, 4.732239125468742, 5.208169499902039, 5.327451634125834, 5.84403798212349, 6.4717124263589145, 6.698720135210835, 6.995227733459904, 7.358484792530314, 7.648865958226687, 7.62506894286639, 7.551653848788863, 7.672145419345825, 7.687208218256179, 7.555357135683699, 6.963726926854374, 6.98146297746706, 6.656861997542296, 6.176046240885038, 5.986585902168612, 5.4273105018025, 5.013693906374993, 4.559580806081575, 4.121705134169388, 3.7936747853275574, 3.614565345767581, 3.145133770139467, 3.0053261307496615, 2.8653085055383016, 2.6204104474386445, 2.7954765275476245, 2.779443930097672, 2.878652672275439, 3.3588772083409864, 3.537151679389197, 3.8294729764248507, 3.909460300452019, 4.445805278229082, 4.982716261594061, 5.4143213748039924, 5.821258402182252, 6.185238369954229, 6.569114568805348, 6.9608440580659865, 7.266019409456446, 7.5548714153562, 7.670807113449948, 7.73147885469563, 8.035471641594492, 7.962902657120429, 7.6184143172021805, 7.558380388419969, 7.486759859208093, 7.156999828194512, 6.902488138335549, 6.45029882337031, 6.03483393176612, 5.7162757130155475, 5.2655048660985715, 4.760665005647562, 4.468169105501839, 4.16121157874793, 3.6347529562381067, 3.3344151021101567, 2.9620295604307527, 3.1570188653228515, 2.965904241409785, 3.149068994984842, 3.0674531758685313, 3.2663423679296963, 3.574085427728049, 3.563182898767824, 4.164109249416291, 4.46272484446471, 4.8968182563117155, 5.153595771989247, 5.743850499202467, 6.124342923655089, 6.6735084121033035, 6.97336781843412, 7.317318785523976, 7.629877685977679, 7.991164746078878, 8.036260524345845, 8.3808687803927, 7.999622341365095, 8.16455760476996, 8.115398548442204, 7.877181637834302, 7.45723297481579, 7.35935705560236, 6.878325018149833, 6.536569384931456, 6.144595417426388, 5.7584714347184285, 5.397568458892013, 5.020198634508613, 4.396962992331737, 4.119051489537835, 3.659545910370949, 3.6166033331887393, 3.371625221233179, 3.4333567050714393, 3.343962361181714, 3.434991104787478, 3.4921730829851265, 3.5772007476014864, 3.8489070237796734, 4.108303602124774, 4.207747280204345, 4.773475502819618, 5.1374163817639245, 5.878132570465772, 5.904575818755945, 6.503483708677167, 7.046864042747742, 7.489557575434727, 7.488926864164528, 8.171025246271812, 8.278112839500015, 8.393511563513302, 8.375682271548731, 8.564505232987493, 8.37254625295635, 8.307122206290266, 8.105382006250924, 7.93901221089832, 7.518362698146905, 7.36586588728666, 6.939283620043686, 6.410691393107693, 5.917787571469509, 5.5313884001378515, 5.144978739103634, 4.7016119404596655, 4.503293251016524, 4.085034657437286, 3.7028374830264994, 3.6230004188807383, 3.454887168811457, 3.4417784949115817, 3.543536494697822, 3.5744711522587322, 4.094685187355219, 4.081025555495781, 4.257114962082939, 4.92210912396245, 5.237805410469182, 5.5223734331483385, 5.87621120442405, 6.612491906721136, 6.974496145535497, 7.210803581022912, 7.626008420987493, 8.208128145573648, 8.348587056336495, 8.488168552658163, 8.571712086999646, 8.79149389123926, 8.79525365975828, 8.632624637974999, 8.44272515597515, 8.236117140366279, 8.030590556842675, 7.657524370619084, 7.517267765216491, 6.885521716281493, 6.42368825449752, 5.975956161311131, 5.838333616847851, 5.1552319027677225, 4.905110917903521, 4.554580154492412, 4.391830453941254, 4.073134216996121, 3.985000484136014, 3.7441022827857458, 3.7684159385468656, 3.5518383034452707, 3.982264429704193, 4.283848847410531, 4.330529741538308, 4.808050859443147, 5.122350801998204, 5.5492462929251065, 6.047902891535852, 6.359279707027939, 6.89041707848614, 7.184787451460256, 7.787549567901635, 7.885233505124294, 8.372388793906362, 8.648796033103261, 8.86406323293021, 9.147146774604554, 9.015625349712343, 8.947208459860436, 8.708799549700062, 8.695805586107213, 8.402418839729636, 8.23038786310584, 7.971090163912264, 7.608011252240195, 7.19439151438779, 6.838726318790867, 6.268834953582898, 5.9440045445662095, 5.64078802719063, 5.125025980623189, 4.558923474887752, 4.394743234141419, 4.340122415422191, 3.9322389016352464, 4.129278215267548, 4.024196816534289, 4.276701663992581, 4.126069587128646, 4.523443458452075, 4.660394337659527, 5.005615144292119, 5.3685999166566365, 5.826435089683566, 6.387100712913452, 6.897638785982457, 7.228770409263895, 7.643595537292243, 8.01627815842893, 8.345205271398308, 8.653943600760092, 9.059325104445568, 9.120434698954067, 9.214804738250386, 9.39078743323739, 9.263041002215857, 8.908216717260101, 9.025681111493428, 8.738108772272986, 8.456982888080207, 8.24730234244662, 7.806392280914666, 7.221758862194867, 6.961189916508878, 6.650879277325963, 6.298827118150835, 5.513167257236207, 5.207127385922787, 4.895764102545453, 4.934230893015648, 4.615807690323259, 4.36881568633585, 4.331005608139209, 4.321663892141371, 4.3634014399400485, 4.5444256485851735, 4.889890642844732, 5.059264188142674, 5.496577636318343, 5.877078719664297, 6.135526204227236, 6.574634684377983, 7.117688270954435, 7.555306285304781, 7.856440455901075, 8.517932262235057, 8.728463196727116, 8.936793001203412, 9.077612247059575, 9.548501275448363, 9.579013361619868, 9.560161752344655, 9.59520246451958, 9.39475028755921, 9.071465380775203, 8.869832869568304, 8.387668137909547, 8.412824758269803, 7.929940038196636, 7.403412859255965, 7.129916600644523, 6.599767576816852, 6.229258435356259, 5.720330728101689, 5.499334131327381, 5.226699191702033, 5.036302747691878, 4.715121743318767, 4.538301046904897, 4.551565249193174, 4.547689206176218, 4.509570333673791, 4.87804377934167, 5.097938642743517, 5.586274708645242, 5.804752828641911, 6.074984007172058, 6.427687046121737, 7.007923706743687, 7.312327155103176, 7.970793395608254, 8.184788058016748, 8.763095981086016, 9.226032681879747, 9.488823870469957, 9.590920322916732, 9.696029718781988, 9.723700633900128, 9.850787108869651, 9.9339266894346, 9.400155167122964, 9.303417878045922, 9.124881844475045, 8.830026716929387, 8.70376812363915, 8.106864447942453, 7.706438504403126, 7.213156193793571, 6.762711044327312, 6.640308147627895, 5.872021398456338, 5.54548523015603, 5.626788559786369, 5.142017552518708, 5.092596100175752, 4.828981788505727, 4.985592170424828, 4.815969119545423, 4.8966826305348485 ]
[ -0.10272805754313317, 0.498097348517151, 0.6944764372706365, 0.8027780535897291, 1.167758278137266, 1.1507586891524346, 1.3332941911946714, 1.236433345326091, 1.093160567317645, 0.8284906793479349, 0.501019702407916, 0.25948223805884624, -0.25547065881095044, -0.7239017209483284, -0.7365632430438329, -0.9764459669249853, -1.2720800632776579, -1.3800451196646124, -1.4561438160931028, -1.458010054415493, -1.4135671320093157, -1.2221891978414514, -0.6663027217437958, -0.6132518138764342, -0.25924449398180416, 0.10017733004199592, 0.46465889419620154, 0.6647476766809367, 0.8547259264594591, 1.168570183254297, 1.0026169828304448, 1.132306291005176, 0.8568367092568047, 0.5758363219897064, 0.21819870343922124, -0.15541507828642542, -0.37619177324187103, -1.0379727726944366, -0.9691213573590682, -1.4283586211723298, -1.4458959573267556, -1.649829844891282, -1.86825845298663, -1.730778203670178, -1.4220337087155055, -1.2151423231135292, -0.9511321100134672, -0.751097206109408, -0.17725603111637, -0.07497485672843746, 0.4248586963662106, 0.6529462432203829, 0.42707199572053234, 0.9442515134584241, 0.8696468999294172, 0.7517566655352891, 0.537714130353814, 0.08104103894859704, -0.1456572913423253, -0.36378104389043026, -0.7816586928916609, -1.072410827065326, -1.6711843015995604, -1.848342538524361, -1.5867338850693689, -1.9984209973760196, -1.9148689079285364, -1.7890018343752874, -1.6450271135678236, -1.3862603846195414, -1.0696113666759595, -0.71259152191015, -0.5050408481516947, -0.013898589658589595, 0.28157839929273243, 0.42160105786189345, 0.455735323849031, 0.4622555646212949, 0.5896559790269874, 0.3198371564507425, 0.27574801247135655, -0.1687513821145008, -0.5462621215465768, -0.7389852921244053, -1.0471449703483193, -1.3397432572744552, -1.6916835157177865, -2.051648585191893, -2.157235762470871, -2.3441018905154456, -2.207698957235069, -1.9417826023329023, -1.8224439734570683, -1.490794097058944, -1.354701179465952, -1.064918021324194, -0.5625869401817752, -0.28681156216313597, 0.033791924556266374, 0.284247642183144, 0.430851984303443, 0.32901796205089695, 0.3498206954947334, 0.1006859369504002, -0.11961069972398652, -0.32614637856881895, -0.8727752337067126, -0.9946863319447456, -1.6454455696373023, -1.7766957462567987, -1.8929612147729122, -2.3749369093447177, -2.4564140979033895, -2.417443725721133, -2.46781594814639, -2.2214986578691347, -1.9055249708681719, -1.719836514453109, -1.54661377962646, -0.9512652204401506, -0.734135121424401, -0.1280859577040255, 0.029679149823389955, 0.02782981822475784, 0.20013093767611356, 0.05779108219419821, 0.14552682327265243, -0.0888426646053388, -0.2706355732386614, -0.8188794606756491, -1.0843102191646377, -1.2380333911944856, -1.6071439261740357, -2.152423372846318, -2.4925545676402, -2.5598758550724683, -2.696902480701225, -2.5932703356209106, -2.500910452954295, -2.4617739705987214, -2.209096940511031, -1.904985202003411, -1.5340135741330858, -1.1290036590467474, -0.846308549657582, -0.6679827992767065, -0.1991049167234858, -0.2703630889618697, -0.08712869162924362, -0.1759025310504388, -0.11098684107982776, -0.3498733922255254, -0.7344209105150459, -0.8848176312734157, -1.276791750598593, -1.8723783462966237, -2.0697285160923284, -2.4256762307999, -2.7050639049875853, -2.9204966431311257, -2.7959363628838374, -2.7972359642193756, -2.789793937934183, -2.6180789058559077, -2.3338746450243693, -2.034383827514974, -1.5410075952146507, -1.3475542443320536, -0.9314162698120851, -0.7749132757637333, -0.47902196327949226, -0.5100618751388434, -0.19536804129989602, -0.4630195529110729, -0.6265419038445376, -0.6335865917819317, -1.1165136451965618, -1.3291641009489998, -1.6445901666633818, -2.081956066101796, -2.4197318995843595, -2.7681170834200963, -2.946025020552055, -2.9346957588858094, -3.1840824003422137, -3.122183354265208, -3.023043844183078, -2.5072436001797067, -2.519710998473878, -2.1388620003756245, -1.9358212094305978, -1.349718762855012, -0.8991039053254846, -0.91052597025153, -0.8049415286737803, -0.6908148926545981, -0.3539620588280119, -0.8411050997618432, -0.9333502281414447, -0.8366720487913595, -1.2256998400131633, -1.7867630338397316, -2.056260116237909, -2.2277495544920636, -2.800704656516082, -2.9324615489483046, -3.1865180467742475, -3.570944424091748, -3.1757328361515564, -3.289121725091282, -3.245933366682235, -2.7487221675274522, -2.7427017622615146, -2.2409049728378547, -1.9860603926317693, -1.5359247761746595, -1.239779513655992, -1.0361337883231485, -0.7675294323171703, -0.5900049831429001, -0.8517437541496692, -0.9205670325602611, -1.1580511158031814, -1.3375621745558495, -1.598744895925181, -1.7859601667821536, -2.4135471670389625, -2.7267047112207528, -2.9646365605172917, -3.2520469074057377, -3.42805303777807, -3.3699086863455014, -3.467788294765653, -3.3666229866644146, -3.3581692935457608, -2.9463277932937926, -2.847129919594828, -2.3699601990121706, -2.099612368649461, -1.7095372731945033, -1.349092668279531, -1.2554170375828484, -1.1488808925448033, -0.94654748973851, -0.8917255224060223, -0.9156285975127633, -1.3099442652530284, -1.6189872581698217, -2.0575516043867585, -2.448699227268044, -2.5385894779912217, -3.0540667080994064, -3.3546420520863713, -3.3885798923174195, -3.684691091849867, -3.6731253908836163, -3.7688737846008333, -3.5721230524282808, -3.3809552238099196, -3.192481790131306, -2.7850552255821373, -2.5022943228112893, -2.1613521903254727, -1.8610935615243855, -1.65753595148563, -1.2410317206155401, -1.362145892412387, -1.2169902556094632, -1.2359908155793218, -1.6985493340707576, -1.7369301735070346, -1.7151368135364788, -2.2261836435691436, -2.5985500123016587, -2.913689954793192, -3.309648723066178, -3.5090404178178476, -3.8150748060660318, -4.076096533229377, -3.8865255247023316, -4.055899719873008, -3.862934156619824, -3.6056618011735364, -3.385225814104356, -3.07226282482344, -2.651368648354661, -2.3910141957688427, -1.9392776448773013, -1.763437276282526, -1.648750889756648, -1.4117924079894597, -1.4629442458489366, -1.4488156209589624, -1.6207625388360891, -1.9398412789759771, -1.9447663096484893, -2.5372146897001118, -2.9016382711747664, -3.4536788521294284, -3.7531774033807697, -3.86339471923122, -4.171865730528621, -4.089295458203136, -4.3199423103090515, -4.320750259895928, -4.175963726479148, -3.589182693925015, -3.3962515797540895, -3.0485614862458816, -2.812466393518426, -2.628565984057148, -2.231014301720523, -1.984474227884399, -1.8498099983374154, -1.7003389812821343, -1.7807505089038256, -1.7591894064814408, -2.105348703675643, -2.3170868368914785, -2.5382543379324662, -2.9170112605235463, -3.314880145554329, -3.7444092832338263, -4.05389962328127, -4.261129341578378, -4.463130253467555, -4.3983365452219285, -4.314309061232537, -4.332615746229521, -4.278341750912465, -3.8256233623744977, -3.5488743009107604, -3.2814581065998865, -2.8433387793685605, -2.4807210002576574, -2.1159086349377327, -2.1907628416238554, -2.0034407287498954, -1.8636950397722651, -1.9384629153332587, -1.9775831281713414, -2.4345336126592483, -2.5164268195588013, -2.866513134385026, -3.2909310308281134, -3.650143050302882, -3.740206952171427, -4.316499838207932, -4.611184958478154, -4.684671070851813, -4.660285362094285, -4.5303917011155255, -4.470130355490141, -4.268173836945316, -4.120447043286569, -3.6736308561958033, -3.3728688459235965, -2.9170927838953586, -2.70410301525356, -2.358058804482474, -2.1311526508950798, -2.014019226592875, -2.1423299375103513, -2.1293891793863575, -2.4031893845031793, -2.6021749649509487, -3.1165649672024545, -3.1560095549156104, -3.5284901282585155, -3.9427903563296622, -4.242524984401533, -4.695098568564478, -4.823848311350824, -4.978106969544186, -5.101573043402844, -4.729632814304408, -4.622664216586635, -4.523872435352254, -4.1787437115952395, -3.7570678056507973, -3.518922543901723, -3.0720397459136666, -2.9792660127292683, -2.6494070572396384, -2.460535237026428, -2.428935358151541, -2.2321299733587354, -2.522910921061722, -2.7096287551031812, -3.064394757018017, -3.190379122318403, -3.552121074341183, -4.072520948477542, -4.1426566382947305, -4.700022592398352, -4.780502748063983, -5.0396974594762165, -5.127059082000366, -4.9869088644339366, -4.9303854338790565, -4.840886757506139, -4.5509316391698125, -4.257258258077444, -4.012494814292682, -3.7076410047292203, -3.505724335170849, -3.091978285985939, -2.7959943013041366, -2.8485588387564555, -2.6525453622819977, -2.6460211722794145, -2.7511968050559306, -2.694968367860885, -2.9932204914686413, -3.4217169095648994, -3.713836175497489, -4.217820188509047, -4.475794195857295, -4.850103402203743, -5.171463544629088, -5.3322258479594415, -5.333999699605478, -5.374424180114288, -5.358511501664865, -5.122035391571582, -4.694629925241214, -4.397772534610425, -4.2405952962399445, -3.6722384593070374, -3.402210486710974, -3.181351850673972, -2.8494889592981405, -2.8921386047975153, -2.6632658062056525, -3.0553384849477014, -3.0297065499374805, -3.222969115505659, -3.551139817757958, -3.9022107573215576, -4.120758465366428, -4.438748758639923, -4.926194504217178, -5.218867032760851, -5.267555472553393, -5.561751662266142, -5.630809387738756, -5.6870855799124955, -5.42598496392299, -5.105297512000903, -4.912622751273435, -4.5870460208458335, -4.180461727958154, -3.856390824353904, -3.7699756799681334, -3.35685137010044, -2.897172338286303, -3.0101492813894013, -2.950718339382473, -3.226017357551583, -3.4120925224977254, -3.557038791240323, -3.935844753778718, -4.352946695121518, -4.640134526019653, -4.942611399745385, -5.236484998119142, -5.772592222289765, -5.655710938463256, -5.675238197487938, -5.681412424527425, -5.922498743787172, -5.774845452175048, -5.270570309295282, -4.970465662336362, -4.677130500946175, -4.6399295294853635, -4.075964824962688, -3.891782323191319, -3.558900810410301, -3.3204644328101933, -3.362684008254988, -3.342982609232096, -3.3075539187842806, -3.4216367843055466, -3.6346014796104362, -4.050339923383491, -4.400283407853052, -4.803991097530253, -5.2334143516780225, -5.58724855472496, -5.738762597911644, -5.767828974693175, -6.085051538501214, -6.017037055932694, -5.889960233272238, -5.87499745035337, -5.534668920144608, -5.183909347802979, -4.720375432807945, -4.52868948937991, -4.147221813663639, -3.9973356686434363, -3.7615050867653874, -3.4453608419706385, -3.3303968304346303, -3.4742316454046085, -3.686383463299777, -3.919110337395497, -4.04413116120803, -4.443290265342662, -5.024570182882366, -5.306136941208535, -5.557776190179713, -5.715775770198602, -6.065014359189536, -6.329143285075938, -6.522180073910445, -6.219638745883263, -6.207057744675218, -5.891795185031276, -5.759005550028934, -5.282761268016596, -4.853129139652809, -4.494216849201195, -4.4052903490365525, -4.276789512076084, -3.9134307547256433, -3.8115588478320426, -3.7765888276821205, -3.8133657753919286, -3.831953825819054, -4.2700496751417205, -4.379720058582407, -4.782699699889986, -5.120737210659729, -5.502046027261399, -5.821168891380579, -5.943880201614298, -6.3911306320697605, -6.5132243675738435, -6.568988868609176, -6.353879460888373, -6.286784077671691, -6.286690483753061, -5.834493552636799, -5.445817726424178, -5.272944155851565, -4.637124545833131, -4.461004727870373, -4.122998977571261, -4.031524259427433, -4.059599047966681, -3.9908320680453797, -4.116264969709604, -4.388585017782331, -4.3408209019353485, -4.55760223849779, -4.9586378035159315, -5.483422382378433, -5.81580424934154, -6.084768709355916, -6.243535507026658, -6.56763642969646, -6.908783229961095, -6.761884029992006, -6.818943177308858, -6.349527658645951, -6.277897078612614, -5.980928224281254, -5.747883667985522, -5.315486618646812, -4.864186646375818, -4.717760422394326, -4.393043269653578, -4.276696754299177, -4.227033099901956, -4.205551263509886, -4.341875212229867, -4.462696494149632, -4.847441188198239, -5.0113700812041495, -5.581659042331245, -5.9096251941211015, -6.156948360340514, -6.459609194719368, -6.680659713216788, -6.817269227591428, -6.933279370807795, -7.024914343702769, -6.957316093123115, -6.670051543714788, -6.415433848950062, -6.009446235029331, -5.696459076110843, -5.392443997165698, -5.199083815429545, -4.7804794885909985, -4.613153819902889, -4.378334513169329, -4.417707491966385, -4.531844561157261, -4.646876972067427, -4.833359079545613, -5.202619774754354, -5.563191020877247, -5.6499034161539194, -6.129117592104313, -6.543766280427824, -6.748736478070834, -7.19074792738714, -7.252039388851006, -7.349678404370899, -7.285672412170937, -7.0364444731211435, -6.861592208904639, -6.585241392478542, -6.339842603392014, -5.946875110334686, -5.480343860311679, -5.286540010708516, -4.914406510127235, -4.739852207330574, -4.704088841979432, -4.666049603354841, -4.7605681317151545, -4.965717312323022, -5.131587625889252, -5.373317818913818, -5.735121674312268, -5.9786895289538755, -6.394999861008574, -6.808050474192545, -7.0491811487436875, -7.271418859211419, -7.533190701325537, -7.459676556295018, -7.336299060261615, -7.153873120260883, -6.988692789896287, -6.664385476730721, -6.37327322583431, -5.9695776927464665, -5.744846007517553, -5.56764958384262, -5.069139253217832, -4.8491721567359045, -4.754763515754408, -4.94838343844927, -4.915952473078445, -5.345405441805055, -5.359141681141654, -5.576774549299348, -5.976533239873998, -6.588752830980246, -6.850004928033926, -7.006311420666682, -7.4827183573277285, -7.397997969568932, -7.5645342825191335, -7.486965107674184, -7.4734166364686425, -7.349903817000943, -7.10898662392699, -6.667385806337108, -6.655674172207275, -6.2158989446214905, -5.810171166925786, -5.506656162832084, -5.3716490465086855, -5.100828312017175, -4.91425720826122, -5.129475103205904, -5.263883183402859, -5.335504117006218, -5.539583949192773, -6.2422081489455605, -6.489681157518593, -6.8245974427757305, -7.126821382801345, -7.306495206498341, -7.513881298915238, -8.052764431591472, -7.768384487111552, -7.877717161543771, -7.80696493394314, -7.60395635972544, -7.207689129717448, -6.931549572461054, -6.507341823356414, -6.521891360847801, -6.099888365893693, -5.61514447984162, -5.575978711391601, -5.270348067980226, -5.369661519045453, -5.27534388346036, -5.371224683511844, -5.780081968613004, -5.957585515906887, -6.177825072104072, -6.835766966135574, -7.022685685261733, -7.311404489989331, -7.730861466037107, -7.753668618718126, -8.232960819996253, -8.210307249159763, -8.27952592464662, -7.913609732639366, -7.714852551922006, -7.436340106497574, -7.119078370529721, -6.784361828930278, -6.370770319931817, -6.130631187330409, -5.51314152879465, -5.758370639093516, -5.61174781206199, -5.471156779400754, -5.645738180346334, -5.726807833779731, -5.749064321823106, -6.287757908335142, -6.766173640271092, -6.968467980309384, -7.358101895334993, -7.62210139463378, -8.148275185305625, -8.279570714762542, -8.392078967397849, -8.24001071590832, -8.332074517098961, -7.9964545454397635, -7.908115544750774, -7.5956306787562236, -7.134647901615575, -7.190440070906342, -6.449328187385981, -6.206435086013513, -6.106434455439649, -5.802566295838869, -5.6820975565649015, -5.749140175701284, -5.798313126030567, -6.015550009605636, -6.30215563499514, -6.6086314578181495, -6.979988264158008, -7.380652042140322, -7.490853299383496, -8.312029478995674, -8.270894436889735, -8.425753404308942, -8.451752037485832, -8.576089437397933, -8.429631517125836, -8.22443201852093, -7.999676263013912, -7.773467995486746, -7.465990615311856, -7.1879113419363865, -6.7324708714091885, -6.370247151311226, -6.069665425761398, -5.97553266100912, -6.083956189572006, -5.987421899160308, -6.1183696597802495, -6.4129059427390365, -6.65733045843074, -6.919215235876762, -7.309749855922546, -7.553547723134045, -8.034849574487914, -8.403021181487377, -8.62366580095949, -8.842535580713404, -8.873528294404435, -8.702879906280964, -8.704706004711014, -8.606291990956462, -8.108092351411063, -7.925229567028803, -7.436767550448632, -7.1023663317433945, -6.911862282798538, -6.622222582411012, -6.316221735245817, -6.130537245349813, -6.332069340741691, -6.13522655882303, -6.324849314316377, -6.637157528223254, -6.820682755225959, -7.177542709050722, -7.707401513578186, -8.047623677472556, -8.47023813841915, -8.5988210843509, -8.932108317109234, -9.095630522077448, -8.964545013233037, -8.86185887166167, -8.804295114454007, -8.73909343324054, -8.458327081048672, -7.994392500988594, -7.573493996995473, -7.203317817070856, -6.995013584403799, -6.797404977435113, -6.453676601102352, -6.405919256678883, -6.559064760437897, -6.374593314552569, -6.689046278944632, -6.910851397947222, -7.187337081734314, -7.546411569603465, -8.05078907837711, -8.555760577698058, -8.635546079330267, -8.8398807320309, -9.014604717644625, -9.194202746627075, -9.296362525668082, -9.29652680169392, -9.022676355811727, -8.852316306968472, -8.425819843244113, -8.077178506045305, -7.923795390459545, -7.303795131968684, -7.293639001062243, -6.969104918182362, -6.698911700738422, -6.488781501519799, -6.666095301279555, -6.577241582670465, -7.007669716640923, -7.3423393053472426, -7.45974588840415, -7.841637202154743, -8.25067401775, -8.738260305348303, -8.673076894711903, -9.19983892449398, -9.422700569614815, -9.441309835063425, -9.415529699390103, -9.269484765134223, -9.136870652332982, -8.87605889228079, -8.750555526409187, -8.36169468348483, -7.900808638818671, -7.476650553628789, -7.326219331627907, -7.073747541017815, -6.930095381340508, -6.905935668538597, -6.971680161375527, -7.144811443631931, -7.3840999666863585, -7.373656661626964, -8.00532708129079, -8.206664645427733, -8.610602093570346, -8.962860103570215, -9.164472891630343, -9.504236772195037, -9.633960352080326, -9.774756573287478, -9.931139187390785, -9.384314126295338, -9.307453591758522, -8.892267993873684, -8.801671019298071, -8.4213774356517, -8.032607489467157, -7.809574406005076, -7.490371082157318, -7.153262660600026, -6.896210684032645, -7.027608727658228, -7.234630833382729, -7.35084157288699, -7.497246148994333, -7.793683506628534, -8.280220132084215, -8.665593584767526, -8.817453938071603, -9.352415909919772, -9.54058397754543, -9.64443477576648, -9.791691105405882, -9.865510847045654, -9.927359497996736, -9.683616502910931, -9.433396252668295, -9.207355831654727, -8.87451646995029, -8.540436017958621, -8.131977691776338, -8.002277270928209, -7.550201315129217, -7.411372620245854, -7.374265600924171, -7.29604419962321, -7.521299170507382, -7.763268619908425, -7.992365394975058, -8.104282971791312, -8.441009901423676, -8.997685853276725, -9.297115481602987, -9.441127218787098, -9.97632812539593, -10.095501706901976, -9.928199091304243, -10.12580489374139, -10.10019124231539, -10.046576140800386, -9.721709352391246, -9.186783619511392, -8.979307591573084, -8.616531919714594, -8.28392802387615, -8.02529978391167, -7.7223863886658295, -7.4576749480372255, -7.618406236525259, -7.482900926919361, -7.5898929381957005, -7.88468513984813, -8.086494962244076, -8.426844363435965, -8.93820473536855, -9.07369244395851, -9.475714001877012, -9.68358212020279, -9.953065842798656, -10.49838543318329, -10.402992228805147, -10.41935844775216, -10.30371127862158, -10.079769498451824, -9.880868802427988, -9.498181394366442, -9.115397438983491, -8.79290112755972, -8.390068603803018, -8.1167641646488, -7.951541843505625, -7.803673421981796, -7.776432641715609, -7.633736613104903, -7.881503542462598, -8.342847152386634, -8.548945994320443, -8.686644593630799, -9.28897835628024, -9.685978718858603, -9.92577537805541, -10.285162087767189, -10.547476421463926, -10.614270326322199, -10.637962894704076, -10.660314574984254, -10.57022394114632, -10.132284967513163, -9.980292219235018, -9.705754700328384, -9.379613773783927, -8.937388226275763, -8.51389458876739, -8.261265333414805, -8.038721980877156, -7.982240094367592, -7.955064951331581, -8.198342316773935, -8.277101187427254, -8.443706318606012, -8.795723116007498, -9.13255477778776, -9.458752455099287, -9.742201778613392, -10.254241114484952, -10.39378837757426, -10.59682280586168, -10.746377857625486, -11.014646796550617, -10.71027606489941, -10.613680352858957, -10.205777108872987, -10.010326356775229, -9.823500604483407, -9.385714443771633, -9.183891252536613, -8.726374676798317, -8.394278938377441, -8.257406472847956, -8.23413028163851, -8.25350849654611, -8.280388675186856, -8.660166296807867, -8.944113299569272, -9.207468071659008, -9.359133792527144, -9.71254174480461, -10.399046877804814, -10.62748551521523, -10.57359103213797, -10.995128626031963, -11.146561152887404, -11.164819130361478, -10.915836899998705, -10.7290299013326, -10.481456790395754, -10.175197668845119, -9.8736583170958, -9.784661152803071, -9.201454428597861, -8.955360847658339 ]
89
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave", "Square Wave" ]
You should focus on the cyclic components of the time series. Do they have similar patterns aside from the trend?
Similarity Analysis
Shape
489
null
The following time series has an anomaly. What is the most likely type of anomaly?
[ "Cutoff: the pattern of time series disappeared for certain point in time and became flat", "Scale: the pattern is at obviously different scale at certain point in time" ]
Scale: the pattern is at obviously different scale at certain point in time
multiple_choice
null
null
65
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Cutoff Anomaly", "Scale Anomaly", "Wander Anomaly" ]
Anomaly is an observation that deviates from the general pattern in the time series. You should check if the time series has any sudden changes or unexpected patterns. If so, check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
490
[ -2.9014286128198323, -2.7553194569480066, -2.6092103010761813, -2.4631011452043556, -2.31699198933253, -2.170882833460704, -2.0247736775888785, -1.8786645217170532, -1.7325553658452273, -1.5864462099734018, -1.4403370541015763, -1.2942278982297504, -1.1481187423579249, -1.0020095864860994, -0.8559004306142738, -0.7097912747424482, -0.5636821188706225, -0.41757296299879665, -0.27146380712697127, -0.1253546512551455, 0.020754504616679825, 0.16686366048850562, 0.3129728163603314, 0.45908197223215674, 0.6051911281039826, 0.7513002839758083, 0.8974094398476337, 1.043518595719459, 1.1896277515912848, 1.3357369074631107, 1.481846063334936, 1.6279552192067621, 1.7740643750785874, 1.9201735309504129, 2.0662826868222393, 2.2123918426940645, 2.35850099856589, 2.504610154437716, 2.650719310309541, 2.7968284661813665, 2.9429376220531918, 3.0890467779250184, -2.567701291842821, -2.4215921359709958, -2.27548298009917, -2.1293738242273443, -1.9832646683555188, -1.837155512483693, -1.6910463566118676, -1.544937200740042, -1.3988280448682162, -1.2527188889963907, -1.1066097331245652, -0.9605005772527396, -0.8143914213809138, -0.6682822655090885, -0.5221731096372627, -0.37606395376543694, -0.22995479789361162, -0.08384564202178585, 0.062263513850039975, 0.2083726697218653, 0.35448182559369107, 0.5005909814655165, 0.6467001373373422, 0.792809293209168, 0.9389184490809933, 1.0850276049528187, 1.2311367608246448, 1.3772459166964701, 1.5233550725682956, 1.669464228440122, 1.8155733843119473, 1.9616825401837725, 2.1077916960555987, 2.253900851927424, 2.4000100077992492, 2.546119163671076, 2.692228319542901, 2.8383374754147264, 2.9844466312865525, 3.130555787158378, 3.2766649430302035, 3.4227740989020283, -2.23397397086581, -2.0878648149939845, -1.9417556591221592, -1.7956465032503335, -1.6495373473785075, -1.5034281915066823, -1.3573190356348563, -1.2112098797630308, -1.0651007238912054, -0.9189915680193795, -0.7728824121475539, -0.6267732562757282, -0.48066410040390284, -0.334554944532077, -0.18844578866025175, -0.04233663278842614, 0.10377252308339968, 0.24988167895522495, 0.3959908348270508, 0.5420999906988766, 0.6882091465707019, 0.8343183024425277, 0.9804274583143531, 1.1265366141861792, 1.2726457700580047, 1.41875492592983, 1.5648640818016553, 1.7109732376734814, 1.857082393545307, 2.0031915494171324, 2.1493007052889586, 2.295409861160784, 2.441519017032609, 2.5876281729044353, 2.7337373287762605, 2.879846484648086, 3.0259556405199124, 3.1720647963917377, 3.318173952263563, 3.464283108135389, 3.6103922640072144, 3.75650141987904, -1.9002466498887989, -1.7541374940169736, -1.608028338145148, -1.4619191822733222, -1.3158100264014967, -1.169700870529671, -1.0235917146578457, -0.8774825587860198, -0.7313734029141943, -0.5852642470423688, -0.4391550911705431, -0.29304593529871736, -0.14693677942689187, -0.0008276235550661593, 0.14528153231675955, 0.29139068818858505, 0.437499844060411, 0.5836089999322362, 0.729718155804062, 0.8758273116758879, 1.0219364675477132, 1.1680456234195389, 1.3141547792913644, 1.46026393516319, 1.6063730910350154, 1.7524822469068413, 1.898591402778667, 2.0447005586504923, 2.1908097145223184, 2.3369188703941433, 2.483028026265969, 2.629137182137795, 2.7752463380096204, 2.9213554938814457, 3.067464649753272, 3.2135738056250975, 3.3596829614969224, 3.505792117368749, 3.6519012732405742, 3.7980104291123995, 3.9441195849842248, 4.090228740856051, -1.5665193289117882, -1.4204101730399625, -1.2743010171681366, -1.1281918612963113, -0.9820827054244856, -0.8359735495526597, -0.6898643936808344, -0.5437552378090089, -0.397646081937183, -0.2515369260653575, -0.105427770193532, 0.04068138567829371, 0.18679054155011943, 0.3328996974219447, 0.47900885329377063, 0.6251180091655963, 0.7712271650374216, 0.9173363209092475, 1.0634454767810733, 1.2095546326528985, 1.3556637885247245, 1.5017729443965497, 1.647882100268376, 1.7939912561402014, 1.9401004120120267, 2.086209567883852, 2.2323187237556783, 2.3784278796275036, 2.524537035499329, 2.670646191371155, 2.81675534724298, 2.9628645031148055, 3.1089736589866317, 3.255082814858457, 3.4011919707302822, 3.5473011266021084, 3.693410282473934, 3.839519438345759, 3.9856285942175855, 4.13173775008941, 4.277846905961236, 4.423956061833062, -1.232792007934777, -1.0866828520629512, -0.9405736961911257, -0.7944645403193, -0.6483553844474748, -0.5022462285756488, -0.3561370727038231, -0.21002791683199784, -0.0639187609601719, 0.08219039491165359, 0.22829955078347908, 0.3744087066553048, 0.5205178625271305, 0.666627018398956, 0.8127361742707817, 0.9588453301426072, 1.104954486014433, 1.2510636418862582, 1.3971727977580841, 1.5432819536299094, 1.689391109501735, 1.835500265373561, 1.9816094212453863, 2.1277185771172116, 2.273827732989038, 2.419936888860863, 2.5660460447326887, 2.712155200604515, 2.85826435647634, 3.004373512348166, 3.1504826682199916, 3.2965918240918164, 3.442700979963643, 3.5888101358354683, 3.7349192917072935, 3.881028447579119, 4.027137603450945, 4.173246759322771, 4.3193559151945955, 4.465465071066422, 4.611574226938247, 4.757683382810073, -0.8990646869577656, -0.7529555310859404, -0.6068463752141147, -0.4607372193422892, -0.31462806347046346, -0.16851890759863775, -0.022409751726812477, 0.12369940414501324, 0.26980856001683917, 0.41591771588866466, 0.5620268717604902, 0.7081360276323159, 0.8542451835041411, 1.0003543393759669, 1.146463495247793, 1.2925726511196185, 1.4386818069914438, 1.5847909628632695, 1.7309001187350948, 1.8770092746069205, 2.023118430478746, 2.169227586350572, 2.3153367422223976, 2.461445898094223, 2.6075550539660486, 2.7536642098378743, 2.8997733657097, 3.0458825215815253, 3.1919916774533514, 3.338100833325177, 3.4842099891970024, 3.6303191450688286, 3.7764283009406543, 3.9225374568124796, 4.068646612684304, 4.214755768556131, 4.360864924427956, 4.5069740802997815, 4.653083236171608, 4.799192392043434, 4.945301547915259, 5.0914107037870835, -0.565337365980755, -0.4192282101089293, -0.2731190542371036, -0.12700989836527787, 0.01909925750654784, 0.1652084133783731, 0.3113175692501988, 0.4574267251220243, 0.6035358809938502, 0.749645036865676, 0.8957541927375015, 1.041863348609327, 1.1879725044811524, 1.334081660352978, 1.480190816224804, 1.6262999720966298, 1.772409127968455, 1.9185182838402808, 2.064627439712106, 2.2107365955839318, 2.356845751455758, 2.502954907327583, 2.6490640631994085, 2.7951732190712346, 2.94128237494306, 3.087391530814885, 3.233500686686711, 3.379609842558537, 3.5257189984303623, 3.6718281543021885, 3.8179373101740137, 3.964046466045839, 4.110155621917665, 4.256264777789491, 4.402373933661316, 4.548483089533143, 4.694592245404968, 4.840701401276792, 4.986810557148618, 5.132919713020445, 5.27902886889227, 5.425138024764095, -0.23161004500374371, -0.08550088913191844, 0.06060826673990727, 0.20671742261173343, 0.3528265784835587, 0.4989357343553844, 0.6450448902272101, 0.7911540460990354, 0.9372632019708609, 1.0833723578426868, 1.2294815137145125, 1.3755906695863378, 1.5216998254581635, 1.6678089813299892, 1.8139181372018145, 1.9600272930736407, 2.1061364489454664, 2.2522456048172916, 2.3983547606891173, 2.5444639165609426, 2.6905730724327683, 2.8366822283045945, 2.9827913841764198, 3.128900540048245, 3.275009695920071, 3.4211188517918965, 3.5672280076637217, 3.7133371635355483, 3.8594463194073736, 4.005555475279198, 4.151664631151025, 4.29777378702285, 4.443882942894676, 4.589992098766502, 4.736101254638328, 4.882210410510153, 5.028319566381979, 5.174428722253804, 5.320537878125629, 5.4666470339974556, 5.612756189869281, 5.758865345741107, 0.10211727597326714, 0.24822643184509285, 0.39433558771691857, 0.5404447435887443, 0.68655389946057, 0.8326630553323957, 0.978772211204221, 1.1248813670760465, 1.2709905229478722, 1.4170996788196977, 1.5632088346915236, 1.7093179905633493, 1.8554271464351746, 2.0015363023070005, 2.1476454581788262, 2.293754614050651, 2.439863769922477, 2.5859729257943025, 2.732082081666128, 2.878191237537954, 3.024300393409779, 3.170409549281605, 3.316518705153431, 3.4626278610252563, 3.6087370168970816, 3.7548461727689078, 3.900955328640733, 4.047064484512559, 4.193173640384385, 4.33928279625621, 4.485391952128035, 4.631501107999862, 4.777610263871686, 4.923719419743512, 5.069828575615339, 5.215937731487164, 5.362046887358989, 5.508156043230814, 5.654265199102641, 5.8003743549744655, 5.946483510846292, 6.092592666718118, 0.43584459695027844, 0.5819537528221042, 0.7280629086939294, 0.8741720645657551, 1.0202812204375808, 1.1663903763094066, 1.3124995321812323, 1.4586086880530575, 1.6047178439248833, 1.7508269997967087, 1.8969361556685347, 2.04304531154036, 2.1891544674121857, 2.3352636232840114, 2.481372779155837, 2.627481935027663, 2.7735910908994885, 2.9197002467713142, 3.0658094026431395, 3.211918558514965, 3.3580277143867905, 3.504136870258616, 3.650246026130442, 3.7963551820022676, 3.9424643378740933, 4.088573493745919, 4.234682649617744, 4.38079180548957, 4.526900961361395, 4.673010117233222, 4.819119273105047, 4.9652284289768716, 5.111337584848698, 5.257446740720523, 5.403555896592349, 5.549665052464175, 5.695774208336001, 5.841883364207826, 5.987992520079651, 6.134101675951477, 6.280210831823302, 6.426319987695129, 0.7695719179272897, 0.915681073799115, 1.0617902296709407, 1.2078993855427664, 1.3540085414145917, 1.5001176972864179, 1.6462268531582436, 1.7923360090300688, 1.9384451649018943, 2.08455432077372, 2.2306634766455455, 2.3767726325173713, 2.522881788389197, 2.6689909442610227, 2.815100100132848, 2.9612092560046737, 3.1073184118764994, 3.253427567748325, 3.399536723620151, 3.545645879491976, 3.691755035363802, 3.8378641912356275, 3.9839733471074528, 4.1300825029792785, 4.276191658851104, 4.42230081472293, 4.568409970594756, 4.714519126466581, 4.860628282338407, 5.006737438210232, 5.1528465940820585, 5.298955749953883, 5.445064905825708, 5.591174061697535, 5.7372832175693596, 5.883392373441186, 6.029501529313012, 6.175610685184838, 6.321719841056662, 6.467828996928487, 6.613938152800314, 6.7600473086721395, 1.1032992389043006, 1.2494083947761263, 1.3955175506479516, 1.5416267065197773, 1.687735862391603, 1.8338450182634287, 1.9799541741352544, 2.1260633300070797, 2.2721724858789054, 2.4182816417507316, 2.564390797622557, 2.7104999534943826, 2.8566091093662074, 3.0027182652380335, 3.148827421109859, 3.2949365769816845, 3.4410457328535107, 3.5871548887253355, 3.7332640445971617, 3.879373200468987, 4.025482356340813, 4.171591512212639, 4.3177006680844645, 4.463809823956289, 4.609918979828114, 4.756028135699941, 4.902137291571766, 5.048246447443592, 5.194355603315419, 5.340464759187243, 5.486573915059069, 5.632683070930894, 5.77879222680272, 5.9249013826745465, 6.071010538546371, 6.217119694418197, 6.363228850290022, 6.509338006161848, 6.655447162033673, 6.801556317905499, 6.947665473777325, 7.09377462964915, 1.437026559881312, 1.5831357157531367, 1.7292448716249629, 1.875354027496789, 2.021463183368614, 2.16757233924044, 2.313681495112265, 2.459790650984091, 2.6058998068559163, 2.752008962727742, 2.898118118599568, 3.0442272744713934, 3.190336430343219, 3.336445586215044, 3.48255474208687, 3.6286638979586963, 3.774773053830521, 3.9208822097023472, 4.0669913655741725, 4.213100521445998, 4.359209677317823, 4.50531883318965, 4.651427989061475, 4.797537144933301, 4.943646300805126, 5.089755456676951, 5.235864612548777, 5.381973768420604, 5.528082924292429, 5.674192080164255, 5.82030123603608, 5.966410391907906, 6.112519547779731, 6.258628703651557, 6.404737859523383, 6.550847015395208, 6.6969561712670345, 6.843065327138859, 6.989174483010685, 7.13528363888251, 7.281392794754336, 7.427501950626162, 1.7707538808583223, 1.9168630367301485, 2.0629721926019737, 2.2090813484737994, 2.3551905043456256, 2.501299660217451, 2.6474088160892766, 2.793517971961102, 2.939627127832928, 3.085736283704753, 3.2318454395765785, 3.3779545954484047, 3.52406375132023, 3.6701729071920557, 3.816282063063881, 3.962391218935707, 4.108500374807533, 4.2546095306793585, 4.400718686551184, 4.546827842423009, 4.692936998294835, 4.8390461541666605, 4.985155310038486, 5.131264465910312, 5.277373621782138, 5.423482777653963, 5.569591933525788, 5.715701089397614, 5.8618102452694405, 6.007919401141265, 6.154028557013092, 6.300137712884917, 6.4462468687567425, 6.592356024628568, 6.738465180500394, 6.88457433637222, 7.030683492244044, 7.176792648115871, 7.322901803987696, 7.469010959859522, 7.615120115731348, 7.761229271603173, 2.104481201835334, 2.2505903577071593, 2.396699513578985, 2.5428086694508103, 2.688917825322636, 2.835026981194462, 2.9811361370662874, 3.127245292938113, 3.2733544488099384, 3.4194636046817646, 3.5655727605535894, 3.7116819164254156, 3.8577910722972413, 4.0039002281690665, 4.150009384040892, 4.296118539912717, 4.442227695784544, 4.588336851656369, 4.734446007528195, 4.880555163400021, 5.026664319271846, 5.172773475143671, 5.318882631015497, 5.464991786887323, 5.6111009427591485, 5.757210098630974, 5.9033192545028, 6.049428410374625, 6.195537566246451, 6.341646722118277, 6.487755877990102, 6.6338650338619285, 6.779974189733753, 6.926083345605579, 7.072192501477405, 7.2183016573492305, 7.364410813221056, 7.510519969092881, 7.656629124964708, 7.802738280836532, 7.948847436708358, 8.094956592580186, 2.438208522812345, 2.5843176786841706, 2.730426834555996, 2.876535990427822, 3.022645146299647, 3.1687543021714726, 3.314863458043299, 3.460972613915124, 3.6070817697869497, 3.753190925658775, 3.899300081530601, 4.045409237402427, 4.191518393274253, 4.337627549146078, 4.483736705017903, 4.629845860889729, 4.775955016761554, 4.92206417263338, 5.068173328505206, 5.214282484377032, 5.360391640248857, 5.506500796120682, 5.652609951992508, 5.7987191078643345, 5.944828263736159, 6.090937419607985, 6.237046575479811, 6.3831557313516365, 6.529264887223461, 6.675374043095288, 6.821483198967114, 6.9675923548389385, 7.113701510710765, 7.25981066658259, 7.405919822454416, 7.55202897832624, 7.698138134198067, 7.844247290069893, 7.990356445941718, 8.136465601813544, 8.282574757685369, 8.428683913557194, 2.771935843789356, 2.9180449996611815, 3.064154155533007, 3.2102633114048325, 3.3563724672766586, 3.5024816231484834, 3.6485907790203096, 3.7946999348921358, 3.9408090907639606, 4.086918246635786, 4.233027402507611, 4.379136558379438, 4.525245714251263, 4.671354870123089, 4.817464025994915, 4.963573181866741, 5.109682337738565, 5.255791493610391, 5.401900649482217, 5.548009805354043, 5.694118961225868, 5.840228117097694, 5.98633727296952, 6.1324464288413445, 6.278555584713171, 6.424664740584996, 6.5707738964568225, 6.716883052328647, 6.862992208200473, 7.009101364072298, 7.1552105199441245, 7.30131967581595, 7.447428831687775, 7.593537987559602, 7.7396471434314265, 7.885756299303252, 8.031865455175078, 8.177974611046903, 8.32408376691873, 8.470192922790554, 8.61630207866238, 8.762411234534206, 3.105663164766367, 3.251772320638193, 3.397881476510018, 3.5439906323818438, 3.690099788253669, 3.836208944125495, 3.982318099997321, 4.128427255869147, 4.274536411740972, 4.420645567612797, 4.566754723484623, 4.712863879356449, 4.858973035228274, 5.005082191100101, 5.151191346971926, 5.297300502843751, 5.443409658715577, 5.589518814587402, 5.735627970459228, 5.881737126331053, 6.02784628220288, 6.173955438074705, 6.320064593946531, 6.466173749818356, 6.612282905690181, 6.758392061562008, 6.9045012174338325, 7.050610373305659, 7.196719529177484, 7.34282868504931, 7.4889378409211345, 7.635046996792961, 7.781156152664787, 7.927265308536612, 8.073374464408438, 8.219483620280263, 8.365592776152088, 8.511701932023914, 8.657811087895741, 8.803920243767566, 8.95002939963939, 9.096138555511217, 3.4393904857433775, 3.5854996416152036, 3.73160879748703, 3.8777179533588546, 4.02382710923068, 4.169936265102505, 4.316045420974332, 4.462154576846158, 4.608263732717983, 4.754372888589809, 4.900482044461634, 5.046591200333459, 5.192700356205285, 5.338809512077111, 5.4849186679489375, 5.631027823820762, 5.777136979692588, 5.923246135564414, 6.0693552914362385, 6.215464447308065, 6.36157360317989, 6.507682759051717, 6.653791914923541, 6.799901070795368, 6.946010226667193, 7.092119382539018, 7.238228538410844, 7.384337694282669, 7.530446850154496, 7.6765560060263205, 7.822665161898146, 7.968774317769973, 8.114883473641797, 8.260992629513623, 8.407101785385448, 8.553210941257275, 8.6993200971291, 8.845429253000926, 8.991538408872753, 9.137647564744576, 9.283756720616402, 9.429865876488227, 3.773117806720389, 3.9192269625922145, 4.065336118464041, 4.211445274335866, 4.357554430207691, 4.503663586079517, 4.649772741951343, 4.795881897823168, 4.941991053694995, 5.08810020956682, 5.2342093654386455, 5.38031852131047, 5.526427677182297, 5.672536833054122, 5.818645988925947, 5.964755144797774, 6.110864300669599, 6.256973456541425, 6.40308261241325, 6.549191768285075, 6.695300924156902, 6.8414100800287265, 6.987519235900553, 7.133628391772378, 7.2797375476442046, 7.425846703516029, 7.571955859387854, 7.718065015259681, 7.864174171131506, 8.010283327003332, 8.156392482875159, 8.302501638746984, 8.448610794618808, 8.594719950490635, 8.740829106362462, 8.886938262234285, 9.033047418106111, 9.179156573977936, 9.325265729849763, 9.471374885721588, 9.617484041593414, 9.76359319746524, 4.1068451276974, 4.252954283569226, 4.399063439441052, 4.545172595312877, 4.691281751184703, 4.837390907056529, 4.9835000629283535, 5.129609218800179, 5.275718374672005, 5.4218275305438315, 5.567936686415656, 5.714045842287482, 5.860154998159308, 6.0062641540311335, 6.152373309902959, 6.298482465774784, 6.444591621646611, 6.590700777518435, 6.736809933390262, 6.882919089262087, 7.0290282451339126, 7.175137401005738, 7.321246556877563, 7.46735571274939, 7.6134648686212145, 7.759574024493041, 7.905683180364866, 8.05179233623669, 8.197901492108517, 8.344010647980344, 8.490119803852169, 8.636228959723994, 8.78233811559582, 8.928447271467647, 9.07455642733947, 9.220665583211296, 9.366774739083123, 9.512883894954948, 9.658993050826773, 9.8051022066986, 9.951211362570426, 10.09732051844225, 4.440572448674411, 4.586681604546237, 4.732790760418062, 4.878899916289889, 5.025009072161714, 1.2927795570083849, 1.3293068459763413, 1.3658341349442977, 1.402361423912254, 1.4388887128802104, 1.475416001848167, 1.5119432908161232, 1.5484705797840799, 1.584997868752036, 1.6215251577199925, 1.658052446687949, 1.6945797356559051, 1.7311070246238618, 1.767634313591818, 1.8041616025597746, 1.8406888915277309, 1.8772161804956873, 1.9137434694636437, 1.9502707584316001, 1.9867980473995566, 2.0233253363675128, 2.0598526253354694, 2.0963799143034256, 2.1329072032713823, 2.169434492239339, 2.2059617812072947, 2.2424890701752513, 2.279016359143208, 2.315543648111164, 2.3520709370791204, 2.388598226047077, 2.4251255150150337, 2.4616528039829895, 2.498180092950946, 2.5347073819189028, 2.571234670886859, 2.607761959854815, 1.1935749424128557, 1.230102231380812, 1.2666295203487683, 1.3031568093167247, 1.3396840982846814, 1.3762113872526376, 1.412738676220594, 1.4492659651885504, 1.4857932541565069, 1.522320543124463, 1.5588478320924195, 1.5953751210603762, 1.6319024100283324, 1.6684296989962888, 1.7049569879642452, 1.7414842769322016, 1.778011565900158, 1.8145388548681143, 1.851066143836071, 1.8875934328040271, 1.9241207217719838, 1.96064801073994, 1.9971752997078964, 8.134810354703411, 8.280919510575238, 8.427028666447063, 8.573137822318888, 8.719246978190714, 8.86535613406254, 9.011465289934364, 9.15757444580619, 9.303683601678017, 9.449792757549842, 9.595901913421667, 9.742011069293493, 9.88812022516532, 10.034229381037143, 10.18033853690897, 10.326447692780796, 10.472556848652621, 10.618666004524448, 10.764775160396272, 5.1080270906284335, 5.254136246500259, 5.400245402372085, 5.54635455824391, 5.6924637141157355, 5.838572869987562, 5.984682025859387, 6.130791181731213, 6.276900337603038, 6.423009493474864, 6.56911864934669, 6.7152278052185155, 6.861336961090341, 7.007446116962166, 7.153555272833993, 7.299664428705818 ]
The given time series has a cyclic component and a trend component added together. What is the most likely type of the trend component?
[ "Exponential", "Linear", "Log" ]
Linear
multiple_choice
null
null
10
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend", "Sine Wave", "Additive Composition" ]
Despite having a cyclic component, check the general trend of the time series.
Pattern Recognition
Trend Recognition
491
[ -0.0831542847506567, 0.07858415925983056, 0.5529885112039169, 0.8110079889334834, 1.0223505834581117, 1.1387280133761732, 1.164764665591587, 1.327343579457754, 1.257126892135151, 1.5526484308743382, 1.6182236921192756, 1.4423168885962134, 1.3881701716187629, 1.1155232870851375, 1.2907731438912098, 1.1997727373090565, 0.8891351174882931, 0.6180175400986225, 0.37766719489720835, 0.1784921396811972, 0.06967116838778831, -0.2907833689160103, -0.5754573679691333, -0.47846097449750813, -0.994570367843692, -1.1485733627451682, -1.2614998095570842, -1.2674906205443526, -1.3823323892590658, -1.431565724606118, -1.3761601262385, -1.4375339926197377, -1.2077510779378278, -1.0372888702396983, -1.035703114167373, -0.7668001985821039, -0.6058472985011171, -0.30506313011141245, -0.12773120036011013, 0.22035386615528338, 0.6124325182825116, 0.6809367627377726, 0.9274440692179833, 1.0082634786095386, 1.1850193072596664, 1.4294444812959959, 1.4282406833100016, 1.7480820061496598, 1.7781502071876942, 1.671856472135604, 1.7735500047128332, 1.880332672798129, 1.5926576390722185, 1.518362631238682, 1.3199149577554496, 1.1398592395374123, 0.8989259731000915, 0.8952497288075174, 0.253611583321801, 0.25945272337940933, -0.03770698591159326, -0.13497548514776375, -0.3533296745193466, -0.5801230691353583, -0.9172491432387373, -0.8371315558594288, -1.1247567679179666, -1.0401450469725648, -1.1649714963540294, -1.1749459821150112, -1.1963571752994802, -1.2874230082373939, -0.7746989887032627, -0.7824677618227238, -0.6870450160698006, -0.3945904752637149, -0.26353613889747757, -0.07595774800173061, 0.18941334672309934, 0.45400797945957805, 0.688991957047696, 0.9972758721756514, 1.313753802068889, 1.4276681065747134, 1.545472829167837, 1.4763358998685487, 1.852899403467934, 1.806647898467371, 1.9345738341431165, 1.946118132665067, 1.8234560118898238, 1.6914998448809242, 1.6906747547248586, 1.388120896105909, 1.5586328599576773, 1.1358054960147121, 0.9689492010926919, 0.6707011962700021, 0.36431195954274465, 0.40251283067690447, -0.13975323754415428, -0.24243379766013326, -0.46653599021415026, -0.6611547858720099, -0.8401327537609606, -0.9226965742208518, -0.9189769859915596, -0.9918018815080246, -0.985281784095105, -1.0248716152605901, -0.8375796993355394, -0.971121983510698, -0.6923789617995295, -0.532446773780579, -0.33641160034213846, -0.11943695302234664, 0.12271442358927484, 0.4431147620150645, 0.5818153559620862, 0.8296137233140259, 1.230193172348445, 1.4261997214924835, 1.5367667544288868, 1.7253210714456622, 1.703323864722945, 1.9451192223962748, 2.1073334013580327, 2.145343692824347, 1.974671602629265, 1.9093230336972575, 2.0410192289946405, 1.9654466520647251, 1.7921535311017198, 1.747731602309893, 1.4865804687630413, 1.0615419975804292, 1.0410224738016671, 0.5917614160781066, 0.47100268356503405, 0.07439902433033954, 0.08609490007010086, -0.2704165755032768, -0.17427675934221232, -0.5272885224891137, -0.6877847922425863, -0.8622640583539957, -0.7827038320376928, -0.8082747813921652, -0.881641971863703, -0.5970210794901967, -0.7269885989443147, -0.6721915256900646, -0.37627074134404204, -0.17104477923357694, 0.015571672925458555, 0.3374971892296983, 0.5288928108364686, 0.9011880031853767, 1.1225907640097468, 1.3157712715423342, 1.543168462005748, 1.5168255749405815, 1.9331005628520552, 2.080001365761092, 2.2846531153359213, 2.151623724326275, 2.1859864910937743, 2.2284649378605654, 2.23764531674344, 2.067225048839453, 1.9301906020062087, 1.8691086480297516, 1.6193387625833702, 1.3944646719391194, 1.2904891291740224, 1.1399481666620408, 0.8731361674147825, 0.7347809795554879, 0.2720824789036895, 0.29279455997350745, -0.031864033123350705, -0.036868689542319005, -0.3407986617347013, -0.492310717165443, -0.6066095789481397, -0.6188623946382347, -0.5642507419645462, -0.570237119266556, -0.5713880269997812, -0.5232066923354657, -0.36271056143333263, -0.005423163063032949, 0.030680273347034978, 0.2818196341724156, 0.46520345441593813, 0.683735632535481, 0.6339000323877715, 1.0343989386533659, 1.378634281501911, 1.608405085191641, 1.8380201548451887, 2.0589019787334575, 2.0267898588289, 2.3027721325586024, 2.387672730477349, 2.478288839743242, 2.3227008671165876, 2.4289760181206024, 2.164986354724852, 2.1100851518698858, 2.326129257408459, 1.9617232587763593, 1.679097405582569, 1.3937646038137488, 1.3300623933764506, 1.2872215126942552, 0.8787647807157427, 0.702864912324848, 0.34627768802311687, 0.128995185331376, 0.027277059936305484, -0.16790162931067992, -0.3002004170704384, -0.36630722238416724, -0.3877751096537711, -0.6938254887572807, -0.5305845946265387, -0.3663346261649386, -0.4125927118248387, -0.08227268429038437, -0.008217177586936478, 0.02159163297173733, 0.24917685960913732, 0.49465255853453455, 0.6843755543149671, 0.9610075940925721, 1.160240271322313, 1.481071798405766, 1.7790068814793634, 2.0022558989381225, 2.158147010954444, 2.1093155250047064, 2.462128907423929, 2.4887390417813626, 2.612464410751815, 2.545086781849627, 2.5187694787442716, 2.526803004507617, 2.5705251946054832, 2.0168345093145534, 2.250926979239552, 2.117028264393517, 1.6020222272972788, 1.5413895195124565, 1.262385294722814, 1.0411578207867311, 0.8475651803892605, 0.6604630169576595, 0.385900265746659, 0.07147023055617191, -0.05755278725867358, -0.10247802093047295, -0.1970483066388618, -0.32625076429198735, -0.4431986218739171, -0.39723800744439197, -0.2653171198821568, -0.36835430982762035, -0.10266457684569037, -0.13644313671806452, 0.1320276486885102, 0.545518193968894, 0.5565216385022055, 1.0564992451576873, 1.131697845971712, 1.5432114112164392, 1.4014030715557098, 2.012294711424627, 2.066787874901558, 2.261400878151468, 2.3650700140919962, 2.568980608371683, 2.730473284534412, 2.6677849965476534, 2.707652862491208, 2.8247230128095464, 2.743036549610497, 2.4261571886919717, 2.609740398992453, 2.469897154833154, 2.080227518905922, 1.9153791960814313, 1.6855635644326215, 1.714830747388089, 1.2598758528616874, 1.1384912810029377, 0.977911462060212, 0.7160531335362882, 0.4397163532933785, 0.3621169412703082, -0.05237450289583526, 0.05387305361950672, -0.10775779340656835, -0.1557882977815197, -0.11838531394451408, 0.018270916084230093, 0.06456252971554749, 0.04003548411042399, 0.23512404378602852, 0.2891105929346434, 0.5419075315531192, 0.8230808549601096, 1.0432279730208889, 1.3058652598020473, 1.5382475258179045, 1.7088441444695084, 1.931595155379587, 2.1852982559915732, 2.447423132340355, 2.6174106407360926, 2.7854072214222905, 2.858363510778373, 2.92915437774851, 2.8955325737135653, 2.9914027380857804, 3.0508207828491325, 2.745704241334508, 2.7803762704950308, 2.706290967955921, 2.3445066656218363, 2.259225340377384, 1.9952020480895971, 1.6944037188476095, 1.5577002974206928, 1.355907714038285, 1.1611872442186686, 0.8833312003204277, 0.5391518103617958, 0.60318976560005, 0.22854905567747896, 0.08605941547191488, 0.16041089236379116, 0.1391307646449108, -0.05797998928225903, -0.05272139995111101, 0.23963187939211478, -0.03905045445663957, 0.18323508568441585, 0.5532722350084419, 0.6217543210898128, 0.8987526414595353, 0.9882972248468898, 1.4168308266598688, 1.5781089921160583, 1.9146897931186213, 2.2468008928398926, 2.5205821418814605, 2.6521138239858133, 2.7532979046257124, 2.906480353460901, 2.874703445686808, 3.1187483026330995, 3.0918306070874046, 3.216330640700553, 3.1025366364692335, 3.165796344523271, 2.768611095164199, 2.8798923052506256, 2.75111472768238, 2.4481706613815537, 2.2328026164733217, 2.0105950309600455, 1.8419883579274734, 1.6773784509807264, 1.2771605188286694, 1.169438380997786, 0.8274780713852712, 0.7034521046996041, 0.49820476934281616, 0.4437872576991293, 0.3014668917493034, 0.14248957258025213, 0.1409166409814409, 0.3042409200316309, 0.2156282585301256, 0.2734079505555803, 0.567451279682791, 0.7407777684405773, 0.759782491125802, 0.9744463339989355, 1.3102896894546097, 1.6065020816046953, 1.7231294721602557, 1.9807852085916624, 2.1761189165808608, 2.628438032536971, 2.691056253024483, 2.8973941147737765, 3.012334919309577, 3.137176821414394, 3.334869827507431, 3.3152391065844014, 3.4152878312339405, 3.3940864093891596, 3.200950718147118, 3.0708457087181933, 2.948231220543589, 2.58446500298618, 2.8267461147313298, 2.463468472316293, 2.3806746085055015, 2.1645452342768494, 1.8425770378972133, 1.506515405403815, 1.3341451855645914, 1.0928066693784428, 0.9813507043172387, 0.8920223552024508, 0.6933361544737147, 0.6359112564375201, 0.38138287927356235, 0.4033083136794744, 0.4126480946246533, 0.593004851726405, 0.5368779982925215, 0.6557964412870791, 0.7505563879647631, 1.012354450107023, 1.2254021354673037, 1.4576861206434626, 1.7256845987194345, 1.8660464206573306, 2.2530806525402816, 2.258752343876472, 2.8000552242516115, 2.6081350451115677, 2.8381901734394748, 3.2330721849870505, 3.2209330193533505, 3.4178412071897766, 3.4996455561374593, 3.689262300620275, 3.6051074688106386, 3.3191098222790205, 3.1009932414148165, 3.262197971218342, 3.1388564375932946, 2.9002221860382673, 2.663818947579968, 2.4352376777214135, 2.128153937538773, 1.8295222990120887, 1.6651264457504542, 1.4632517016925055, 1.6555856219434781, 1.1420137124839098, 0.9195300695886817, 0.82849590388473, 0.776918232539194, 0.6228113987518209, 0.5927572318719487, 0.6979672539629561, 0.8546316164668232, 0.6507073860486678, 0.6293099483919063, 0.8515871217901967, 1.0524218448419234, 1.3248791538716314, 1.5113425840984658, 1.961005229449868, 2.0033932803652017, 2.3043504626583378, 2.365000254424251, 2.6691198860345073, 2.713947673685297, 3.2542627034350473, 3.4983419859177864, 3.4075408323709064, 3.647004402100934, 3.8266529827985782, 3.8187759622035538, 3.710157872234932, 3.6847289612227994, 3.5196200306224976, 3.307293581660362, 3.4412101566299897, 3.171633287528918, 2.9326682438440344, 2.41518977648629, 2.2976178797144455, 2.2789345551699585, 1.8486594205915783, 1.755151299445655, 1.5093334445350548, 1.2235707813635357, 1.1116560658473864, 1.208135968810728, 0.9047371698772163, 0.7938977785887128, 0.8986406819041998, 0.6814571380121797, 0.7199250279237085, 0.6698877646015017, 1.0933920887225077, 1.1248116790397493, 1.070848168099432, 1.312341211627967, 1.7142244615195281, 2.062129775612548, 2.0708491218933816, 2.299353306274995, 2.437568584623307, 2.7703928820569215, 3.1564461390699092, 3.268520281897507, 3.5688262358651497, 3.5166195685297446, 3.8481291762537566, 3.6897681866647796, 3.9493376169515395, 3.818678140657955, 3.8541910853285595, 3.8143049426544096, 3.462885712219715, 3.403273488725514, 3.3627668839077574, 3.06511729721291, 2.886777821969214, 2.674435536392129, 2.270519834321296, 2.0892134260236417, 1.9854387345521987, 1.7821683213892927, 1.7640456375824278, 1.30318293293428, 1.219815057926712, 1.019507266788386, 1.0086230853131077, 1.1629138486006434, 1.0209837638174197, 0.9747027339097005, 0.9321439345820375, 1.0010000792689093, 1.338489085518322, 1.4442705723748084, 1.4286870060201582, 1.8957205304800382, 1.9132662163652243, 2.397590728710183, 2.3752281248019855, 2.7324676188606083, 3.086819907536172, 3.1724273433967904, 3.4339942506359646, 3.6163911328471117, 3.7301586786994414, 4.034519253482094, 4.080215511530187, 3.7865900061872635, 4.170594552933903, 3.9565181326462353, 4.142642280537983, 3.7574768245425907, 3.6322756601407575, 3.5105689327387157, 3.4392223138426137, 3.1020997058167024, 2.9305434441999667, 2.722347155717743, 2.3871771552826186, 2.4053148481454603, 1.9533613466406747, 1.6917902752995555, 1.581298151512043, 1.5507789181290277, 1.2639630046304982, 1.231601418982709, 1.0967044693167927, 1.1886889190084267, 0.8171773450010023, 1.2220205909489454, 1.2548197040580715, 1.5503098204916264, 1.5717631325865717, 1.6870635300474963, 2.01681817800332, 2.1830931936740883, 2.4034044572865203, 2.765669171559777, 2.9597034980576096, 3.149876285066727, 3.555352903712548, 3.4717675239640915, 3.7840549885371044, 4.027868437951957, 3.7937285331955057, 3.899776346419428, 4.085319283129614, 4.367989718598761, 4.3213480987176345, 4.245374189181466, 4.12396996112684, 3.9425533044933943, 3.8760298647580025, 3.5489057919160345, 3.2979565696906397, 3.324120498828455, 2.891626776803093, 2.7255506417231876, 2.5819709952919143, 2.1707280096027404, 2.0656108107986766, 1.752601626091433, 1.6513813256346892, 1.6549594116669462, 1.4167976124101678, 1.346984024659723, 1.2355794270228595, 1.42557328482866, 1.5097782513485727, 1.4666379171441433, 1.4923014917118202, 1.5905091397287308, 1.8065232929200692, 1.9858540576397372, 2.3751395622635862, 2.3420119537782007, 2.786363634112243, 2.9966120324809005, 3.3938163958693552, 3.5566670974910313, 3.6351281427792386, 3.89214629840144, 4.161317301633192, 4.210506080912511, 4.071165172373207, 4.364086638667262, 4.214153918798923, 4.3660962756948285, 4.472707155030634, 4.266607512507478, 4.12912221482217, 3.876919467800971, 3.7770775626708373, 3.5283170713502656, 3.4366217043987257, 3.101293257836783, 2.9300992008511324, 2.6444405886215243, 2.434860174210485, 2.1758297562121838, 1.9762712908493816, 1.8397983990436488, 1.6377050240313602, 1.7282080217184972, 1.3353846640617615, 1.5538953252245928, 1.6353637921651245, 1.4659535955924308, 1.5617004249976714, 1.6053421677238413, 1.9515164907670608, 2.0975030217336466, 2.108364357746497, 2.297005550167281, 2.644368557818706, 2.9845933452706785, 3.2222317238191307, 3.4032168177539015, 3.6720153529439488, 3.8587241557204117, 3.9986582465910354, 4.236485239012629, 4.280839190829582, 4.580351444693397, 4.4941111070755815, 4.530671623395328, 4.386073895385923, 4.476965159426472, 4.451811042688405, 4.166255434004626, 4.2916987459949, 3.896208808729588, 3.8109771126965364, 3.6741286000374007, 3.1752682108269963, 3.0007010843589956, 2.905544719721717, 2.7090229344636296, 2.173959302155791, 2.248175013105511, 1.9769281571181256, 1.9110358535780085, 1.7774890446258673, 1.785342703684537, 1.583614905757995, 1.8181887869163016, 1.7519204800136654, 1.7019193474990821, 1.7666939527735432, 2.0623830290815546, 2.160476284931335, 2.4434008433070926, 2.599690640165166, 2.5608013802087455, 3.0050500977619055, 3.295687862086127, 3.3560296930847953, 3.8674457949475305, 3.953142402229223, 4.059574561113829, 4.3063818906954925, 4.473390462860553, 4.663649866802624, 4.803039936746786, 4.587302971323896, 4.804362495183796, 4.599248608889285, 4.666471643891647, 4.375244941194776, 4.484582888504443, 4.286748180988939, 4.083538169257406, 3.874588909151214, 3.5464853092122333, 3.366242490753884, 3.077518019610175, 3.063082356702142, 2.83379773794604, 2.3727693116695288, 2.4902564420605064, 2.214013863763724, 2.1720496907911064, 1.757178963864313, 1.7144445935431798, 1.9507424170383496, 1.6776081854376406, 1.8786392768817157, 2.0772170174249744, 2.2203937061975663, 2.357440095210732, 2.5797502362073805, 2.564304782458068, 2.873718618638197, 3.266692350321113, 3.4259679431230436, 3.5745224763333643, 3.9925723672160047, 4.069910747169885, 4.319544365514809, 4.513427174293438, 4.661066909050713, 4.85623884531873, 4.917167793194379, 4.795499501205217, 4.905337955013571, 4.8660223227589485, 4.672085093029631, 4.793540535107117, 4.805739359100122, 4.579028809879053, 4.319284927574651, 3.8514989998837987, 3.784147418478457, 3.7049954771407063, 3.4707918756701437, 3.134205899735326, 2.8304621420021676, 2.633896856502029, 2.4948662300601105, 2.0844385356058757, 2.1016176415727994, 1.8701471591650414, 1.8147794317083132, 1.8205174199073897, 2.03271778061577, 1.9734604072349906, 2.1502304091994486, 2.2922619221119547, 2.2983543847278005, 2.4791068043535507, 2.723330627932766, 3.056903687144594, 3.4165020836455233, 3.258287374821867, 3.910722044611313, 4.122581172471974, 4.146373699995324, 4.449249178060737, 4.66499970508672, 4.810223546535445, 4.919100285198307, 5.122077806708585, 4.990026472089302, 5.177330691143663, 5.080918143354441, 4.931921106221084, 4.874136788413923, 4.531435957581462, 4.764671651670501, 4.39039580800889, 4.180964146261833, 3.916133259001506, 3.913042860434141, 3.47984411577925, 3.3307724758953756, 2.8839213564516792, 3.091126510603438, 2.601423228289179, 2.3324947812087666, 2.428320672451549, 2.2350244543217044, 2.2315357240269424, 2.3152913107272033, 2.0862935616023544, 2.1806208773257354, 2.276460210522922, 2.3110704950607093, 2.619341912553727, 2.6334654518963636, 3.0146702628007533, 3.2174731145738993, 3.3611598659534057, 3.584644819351851, 3.828366596292702, 4.233153548915844, 4.532188391303417, 4.543792653167067, 4.698441457966608, 4.929626526282222, 5.062851061990412, 5.179713235305777, 5.23257074761542, 5.300780838712048, 5.335308705302646, 5.2336224191693805, 5.234178776477325, 5.123844687128776, 4.7942078733108024, 4.64370488211527, 4.490395836681225, 4.36630485933635, 3.9806374969390914, 3.9687811464880376, 3.4740573903685097, 3.2335359782408277, 2.9452687736516623, 2.9255453710867463, 2.66085420876171, 2.570533924010753, 2.430544892147701, 2.3969469961109975, 2.4204330018403115, 2.346221817207516, 2.3680876577385894, 2.387261753813399, 2.756067669570105, 2.7716893104732803, 2.743392923909431, 3.008266576829649, 3.422975790792418, 3.491515426825925, 3.789820283236594, 4.045899556373074, 4.232896279819315, 4.572793920079799, 4.713146827337615, 4.9490085008050695, 5.025452118709853, 5.03122951060804, 5.269067501855234, 5.357256171836379, 5.463189477400204, 5.52244416656048, 5.464533189319666, 5.3879452786590845, 5.1162597417024305, 5.012848218792486, 4.894125165013303, 4.883220925616733, 4.776524815964868, 4.183431498290606, 3.8961448933387577, 3.6531644597626918, 3.4458860077522417, 3.441144200243507, 3.1939298090234396, 2.734886858523233, 2.61955755771085, 2.7676194766274493, 2.796180449520275, 2.6440349819584053, 2.4466854294882086, 2.485133936077224, 2.661464794140205, 2.81561255812833, 2.9249011871797075, 2.856516052058837, 3.2606313471414365, 3.4975273671923945, 3.7538743557859475, 3.9140762303183854, 4.383946427591714, 4.454361121636454, 4.540104490569476, 4.869390187156977, 5.054618368360473, 5.089077767784273, 5.264177145241159, 5.658381106051462, 5.555273177001949, 5.837480305162476, 5.61554957499642, 5.70374015518684, 5.643026347572742, 5.480389225109364, 5.234492962394965, 5.249538940579345, 4.827855556790722, 4.735552341527069, 4.629610768403038, 4.323310405533315, 3.9706128552876647, 3.7115805978879366, 3.6626914303552107, 3.503747202387955, 3.0735200338407527, 3.033648320942628, 2.9508453283854092, 2.78342453951022, 2.743747389553466, 2.8013351882615605, 2.669522381218955, 2.8375107492898874, 2.865622295561075, 3.035307942445953, 3.329352221368668, 3.4895649658927828, 3.5422986092784967, 3.8348505909596553, 4.200488032893895, 4.237905533330635, 4.512262004639842, 4.92202126926893, 5.013157081760362, 5.094374898403495, 5.465131053577626, 5.578096305127372, 5.77241365587721, 5.816562296715409, 5.88514352110107, 5.769439622297507, 5.887991601571646, 5.943837704262749, 5.540300882242269, 5.422285750588384, 5.41967797756528, 5.142699265723596, 4.842546128986005, 4.601354000262045, 4.755249787316417, 4.072590161837673, 3.886074684165158, 3.8227612345671083, 3.4604367371844313, 3.3840713854589106, 3.0760784143290287, 3.053970659861832, 2.9464068027920023, 2.840484379041615, 2.9106284566804836, 2.8426083617611875, 3.0192543937539034, 2.953579864781942, 3.2197395612010893, 3.3970882697249967, 3.581404545083898, 3.84689437168026, 3.797996244962291, 4.064731671413717, 4.277554684466668, 4.721482010001559, 4.822590892246942, 5.103621260215739, 5.429348560533596, 5.630362202134537, 5.472929243247408, 5.838611330790954, 5.873668296070321, 6.007319504985775, 6.008898669059633, 5.960051844375549, 6.088710863980724, 5.861169776194267, 5.638836127447257, 5.503910201673781, 5.167193772829579, 4.967905868896552, 4.870275061518414, 4.719022588295204, 4.561471528917291, 4.108397645553548, 4.038235821161783, 3.9428957610130935, 3.710757386793835, 3.480482352500522, 3.1352728768423823, 3.1070789802225884, 3.1829442575969624, 3.1255597475790773, 3.1332731644298426, 3.2047267787699822, 3.164624004009779, 3.271953639988352, 3.8812014536554655, 3.6754961896297056, 3.9859525649942498, 4.0742980272093465, 4.343864098775472, 4.525347285457411, 4.819668273954574, 4.9088518019482725, 5.371626358290019, 5.828824805442306 ]
What is the most likely autocorrelation at lag 1 for the given time series?
[ "No autocorrelation", "High positive autocorrelation around 0.8", "Negative autocorrelation around -0.8" ]
High positive autocorrelation around 0.8
multiple_choice
null
null
45
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Autocorrelation" ]
While it is hard to directly measure the autocorrelation for higher order lags, the autocorrelation at lag 1 can be approximated by observing the time series pattern. You can tell this by checking the sign and magnitude changes at each step compared to the previous step.
Pattern Recognition
AR/MA recognition
492
[ 2.5611252106947626, 23.502955389112223, 28.213941505998626, 43.764218068490806, 42.53310643869064, 30.965093058850716, 24.56445149258145, 26.28910885096908, 2.527602845667957, -1.3987520810729022, -0.24479188531466578, -4.373928370581693, 4.474793086185906, 14.12904521082201, -7.301665424301731, -11.333022969699622, -7.060798216802066, -4.211430255871167, -1.6087260287904275, -17.11544645532611, -25.715189907168245, -25.691548209493178, -10.66524678230255, -13.73456966000441, -20.143817630637358, -10.183013023046836, -15.633246755247647, -6.755661505756291, 9.021272722455667, -1.0978106096515639, -16.351506895364437, -9.645318170027464, -3.7431447281696197, 9.101357658299776, 1.5572611036442812, 5.633386968764766, -8.276432920748622, -17.59721095646527, -18.01091858308321, -23.165479079520765, -22.004546846850687, -27.894009066476272, -28.75981490996022, -20.94946370375786, -18.782675621414462, -10.02272301159659, -16.863475451309103, -26.761395286793608, -21.13094910182957, -11.013303932663701, -20.15305107704996, 1.829326579761549, 0.4230190067654771, -3.9789677332823175, 4.511760638396634, 6.316263597158018, 2.3892229176977877, 3.3873142866644237, 11.115745084868392, 18.030885851345822, 17.048060806560454, 6.4130489144168825, -15.882647244348682, -6.919090195403485, -26.876162021549767, -18.684442247831765, -4.597399432254051, 2.8341638846098944, 7.601907608858848, 9.101912008447975, -4.368621485621371, -3.831456833984011, -11.575572137634444, 10.180575533500718, 21.101178052157827, 10.54285049187678, 4.35736313968617, 11.673554667794994, 12.183426093435171, -4.896907224176331, -6.918547128353579, -2.127120524899325, 7.621057457217364, 23.080691782226054, 7.774622752600036, -2.816408020253255, -6.500090251838703, -30.53315011829412, -25.671217246873457, -20.7802660749652, -28.512449036821465, -22.456844234293232, -11.381532530251924, -10.24509546942762, 7.444153501123971, 8.671816970140316, 16.839954123813875, 7.266758484536924, 12.259903603998946, 16.75712093243364, 23.78866349506084, 23.991328518682593, 28.64364174876783, 1.925011745734004, 6.95881033578984, 8.77423669101496, 20.08639163271305, 4.515966468955067, 11.240401572909171, -11.337378649368766, -17.943017466968264, -14.874535981311306, -10.750137137733049, -11.967763612091728, 5.295611175115527, 3.5366078766186404, 14.844520868666768, -7.140063370959643, 5.210429596150906, 1.7872990610226545, -9.594215365416087, -13.684508816302085, -19.2296532042579, -24.527370577256562, -28.557499028701443, -25.2795154928709, -25.46164998358116, -5.208431297399509, 4.445290183898353, 11.020425761953469, 15.962466892572202, 18.409306242800035, 28.365442829909256, 22.09746700200465, 25.00849700696404, 14.876130537728589, 9.401837531884896, -1.90242048043641, 5.8434850005822065, 13.223697818253763, -0.056004203229129246, 19.146078786219622, 17.72212605181217, 3.539235650210344, 9.758369087156165, 24.874903664313493, 23.245576087831136, 20.85501473032689, 25.829810590473784, 18.314921592656475, 8.573322230863429, 16.03356079796453, 14.030661329124921, 19.720186622511598, 24.669840592458364, 22.94742118128575, 42.932899102283976, 45.23160067364095, 26.274104430364115, 28.934249297300106, 32.50383320312225, 36.24664049253802, 33.639510964992525, 31.44091340591298, 25.161638845200997, 30.567342735108245, 26.598908065148382, 29.341617333857897, 18.199750762163916, 27.050030878161152, 8.564059823123612, 3.906399275088778, 0.8757952704659524, 15.693634193411858, 16.203013757589364, 3.947630807657996, 23.012996508562644, 12.56805510090187, 16.16383642876224, 15.189982814853785, 14.989155056015374, 4.074144651439201, 17.34763588123543, 23.200041412280036, 19.777444701299448, 39.025673889298126, 25.30537803069307, 21.974545366424127, 15.816393940437187, 15.278899142809372, 20.223036614475355, 18.41710031169022, 17.31787485710458, 1.993674213078739, 1.0352269465431938, -1.5973494861388335, -3.079227546601648, -12.74759084514247, -17.754605969777312, -13.568249696943044, -4.53709072115795, -7.150987178165544, -11.073950933191748, 9.688562106021253, 0.20783922760470563, 18.185269858049217, -0.07564013871787445, 4.027866075333346, -10.478833756192945, -10.074836215710333, -5.394656745874952, -5.273353666310257, 0.875004581290816, 5.277566260945464, -4.297661150213581, 3.0713251714954275, 0.8695359954298045, 6.77781362679902, 13.922885040015894, 20.91981528039247, 0.2409418281343605, -12.818687088864039, 0.14084534222899237, 5.555410825725348, 16.544556923432598, 28.419046837404977, 15.570916195378045, 16.050172760789906, 25.42561026615582, 36.02146828107165, 45.34604899872827, 22.885327914277255, 32.63473263865919, 21.85249783603851, 28.889720380276806, 33.50949161505205, 13.52480555476188, 11.625217152527188, -6.799114977929472, -10.109289582850952, -15.837765249683986, -16.818682511360695, 7.206253066165791, 12.045852792466182, -3.838587893364707, 17.137322740376973, 35.91067644009951, 35.46594123265796, 25.87890305242793, 24.0119887994687, 21.09129540178456, 16.755368607029624, 28.82364165364143, 31.822472318346435, 13.752544577695893, 16.930261629989012, 4.637758809170403, 1.3463426739580555, 14.661549844509098, 4.024949803826646, 11.328442313388981, 1.0618436513761136, -1.9229648789088323, -0.2980924393374298, 14.856503708557304, 15.541993484041381, 12.950990329158893, -1.2803818921390189, -11.755921991745812, -16.027992778152445, -17.911951012105703, -1.5648297337978452, 17.180449310714952, 14.842331362715296, 14.434465369804515, -1.0307954277273268, 14.033345781475283, 14.840129268498035, 32.36083604759003, 23.049403140137343, 21.16992765990847, 10.321769687815571, 4.066164445445278, -4.299516880221544, 8.929503142845501, -9.663954239035693, -2.4281165077145195, -17.723407695618533, -3.4604253361919017, 10.87719727608845, 16.312281575077463, 15.063658799793732, 21.23615561300027, 13.535959907665514, -4.95530143616109, -19.414894727446395, -6.326972101036352, -13.830933085097827, -19.33549203332244, -20.256433842168555, -13.763659841979772, -10.486816421984273, -6.904976807623525, -3.3981173650567973, -7.801629441678141, -17.895216865793465, 0.2381042802762483, -0.3213052384277678, -8.669988543922063, 0.9230126099927647, -11.930750691922945, -11.260679978671867, -5.4660840404676065, -4.439981257855427, -6.113490647328372, 0.48907082008734726, 6.5155161146912794, -6.526409179061487, 11.648084235689101, 9.04120981874571, -10.963890033031285, 3.813794280172532, 2.0246431852409614, 18.897992486017202, -1.0993900774488612, -7.249815460022203, -22.85910093683501, -24.077393998244396, -16.38307937136853, -24.1490935684961, -31.49466834388195, -26.887772289726442, -6.474157402399609, 4.438440337773381, -20.033613759393464, -23.964605387974707, -20.55593371087876, -16.389539325091377, -29.859376844836486, 6.937914752568137, 3.089644004466358, 11.324737089540712, 0.7390736152025514, 12.405000146862992, -13.762465184616463, -11.340601333476659, -22.542664539334744, -11.30986289344548, -16.148965688461004, -13.37150096568109, -12.048925116736903, -12.26129899408173, -16.207232196974676, -9.794625523365395, -5.360152313476851, -10.663871423622645, 2.420852239954556, 17.58107354684004, 16.55723294822841, 1.4192779050208433, -7.588567733995548, 16.43849019879706, 7.339021242706368, 2.907690498113202, -11.657255562071, -18.911701568086116, 7.973930252796958, 13.782407159404153, 17.913314565599137, 2.5048412384866143, -10.54329582836622, -5.406813901680281, -18.335335860585246, -1.1255939598000015, 1.3295241215318945, -4.409176082419102, -13.885602772910422, -1.0355196473904886, 8.524089427511006, 3.154506853698611, 8.29026921240303, 19.443213464791143, 13.685963527522265, 14.662294284236635, 9.85825963888009, 21.228465794322954, 13.533174239793553, 17.589162661150475, 6.96918781535647, -0.7928672659856222, 5.229917821794631, -4.276503786994675, -1.9659898311814674, 2.9009130588266743, 1.716144386247029, -5.1201062384697416, -5.594080070731184, -3.544121273919929, -6.638504419848843, 4.547275356552241, 0.967714654786751, 8.277235096001771, 4.8039848506490195, 20.551360958279524, 9.385608706206831, 2.765134195180039, -0.22915687685567532, 3.373708207316984, 15.045687874412582, 7.6782935228792635, 4.764846652034732, 8.998561449439778, -4.1357363723823255, -9.35609124670491, -6.9559901259494845, -20.88432672309795, -10.277531881288251, -15.18678250444237, -21.667016557523343, -25.436573041973404, -30.793536003350184, -42.95668345261086, -32.78583849342278, -9.048506670357689, -3.4556186235034376, -1.0024756964143529, 0.24883010671902006, 6.460331513104952, -7.680446519723837, 6.072731598653725, -4.022281927298049, 2.093743156233241, 9.265449853738955, -4.729311191731629, -13.458558911542054, -29.504850208487944, -34.723448621289975, -37.86964569760482, -14.215214801322961, -7.713297539913842, -7.6298301184281305, -4.369955821098506, -7.47998733151603, 10.425978241289314, 18.61613422857409, 12.91537861153715, 5.178149554327616, -4.066465859376387, -0.260082547906189, -4.135393435139155, -16.195535640591686, -18.163538538016688, -10.620035432623359, 0.2303083972739035, -2.0691894758737956, 10.531176454706847, 14.69505944809514, 9.570421913854753, -1.2123199847559487, 5.376180293499752, 6.422818086553198, 0.6084973295120601, -0.6770818311530515, 0.5594790775578733, -2.416330068262317, -12.371250222452016, -31.752881003370817, -9.877532971426884, -6.543178463718959, -13.171452232258247, -5.383628843964161, 3.9372560067218636, 1.5850335576953918, -0.40004911137378385, -5.193759277173747, -2.59225866404608, -10.013407583533201, 12.394312231937112, 38.998209690573006, 31.067441272170665, 16.996575236198712, 12.843926646132509, -2.198609421237288, 1.7444971782808847, 3.7084297813521427, 1.9826360059020807, -16.08907843851783, 0.9048978372119727, -14.542106580238013, -9.816517801889054, -15.48652028432781, -10.45086948057983, -14.70894696053769, -2.3288454668518295, 4.908088288926772, -3.6308955164946743, -1.1370811801382688, 16.730750497050465, -9.140652250829316, 6.990635184910039, 2.3654825276098164, 8.216849672589262, 19.651080943047646, 22.029776569593896, 16.26064100704806, 24.255574390907118, 33.02378155539025, 26.643575213770834, 35.58791826724648, 35.94776072428403, 26.71755821021881, 35.65405634131428, 19.987629373509918, 0.9342414034101036, 4.9726348369371305, -5.620610294660812, -3.283944442362882, 2.0750727307753976, -7.5289984701284105, -12.6191750108453, -1.9259334028520456, -1.6086570961137787, 5.254975876136433, 12.412037679445017, 14.857684157498284, 6.24317464261992, 6.829841230288011, -3.425150607518054, -5.076978663630115, -2.018671684267644, 9.820252849077104, 7.135453939395592, 13.479844989050711, 21.781433508721626, 17.29680968894449, 8.400503135514946, 10.402388188756905, 11.486283208464467, 16.738676705814687, 2.658406899944863, -3.8600430256868643, 6.783041408362787, 8.174310290927792, 22.281070463360685, 9.432655315412388, 3.6128982378745347, 10.083219063594115, 8.302049578744214, 12.741957985514006, -3.91236297937915, 1.424040635168505, -0.940579625836033, 2.708814436301198, 17.586011427870574, 18.99188017229, 16.14806806917205, 5.073469527433748, -1.1908423489861963, 10.735417251584376, 14.865249947754382, -1.257134280326154, -20.95041209242015, -25.127690736247587, -31.11703385207233, -43.963827342913774, 0.4038472395909025, -1.7927294792805126, 6.244367990099347, -12.232911938809323, 5.887503069385181, 7.660836804847572, 8.256794539060836, 0.37148720636206356, -8.396388838384873, 2.7667484676601726, -6.56559854430919, 2.7201319968110784, 7.110812119418373, -1.3470526070336248, -9.523303776737274, -7.278088668936542, -10.1873802440583, -12.613113768453704, -14.380494127337705, -7.17321914095422, -8.350683195424711, -9.600469722764023, -18.312991584216487, 0.9127957241905591, 5.55694448594859, 9.459483853316843, 14.233376877333878, 10.318963088442748, 5.127383507306076, -7.448855249031415, 0.02965530242022041, 7.375716212302902, 13.6136242137089, -3.978699436290265, -3.274502880577345, 4.620073924633797, -8.289932728819359, -22.585587182472, -13.55712540578605, 3.4925856593214775, -9.187010892357637, -1.657190800445849, 8.814705023957492, 21.743854190395723, 32.12133681071593, 28.56496328083748, 10.330385978373945, 14.064766526929933, 12.492908401436782, 13.751788664363868, 5.5709389592596334, 7.787736958769983, -5.721453036567162, -0.12880165479319228, 1.5092945643078506, 3.4114802899757324, 0.42639701462729285, 4.1341618202881705, 0.8319613359872027, 3.816609534680002, 2.4757548590393235, -2.79262005380799, -12.796526519091136, 0.35806997435778243, -9.286530693976784, 4.074328509727749, 9.435698342217277, 41.157511036460534, 43.86145475412986, 36.4407900184952, 23.85553823727238, 13.273585098705448, 17.55033135431691, 26.05584372045635, 31.68830042019768, 44.51187162516707, 39.86361837698757, 30.430638919673818, 10.638562647966765, 6.5462249745554715, 20.283744078904377, 5.858651085109734, 3.365139542804777, 7.113626749865556, -1.4899562352467184, -6.364679196229377, -13.561172890924507, -0.16710104654515945, -16.704418495785923, -17.660898815131066, -15.310053973386506, -26.404458936973697, -20.737625289043496, -14.14105209764758, -20.508803104641867, -20.834107198695015, -18.023300309535554, -15.898667568612263, -16.183595928326696, -7.829852877927345, -15.486712110608833, -10.738458977703635, -9.24504627874635, -0.6941596172802873, 9.644065108070043, -1.4149401119831033, 4.0182792884515806, 16.315028393316442, 3.5700828807337412, 9.523980506159798, 18.331809941238667, 14.12157483859352, 6.512994057515116, 9.23713278756389, 11.742173179720819, 12.297356392209558, 23.572899207718205, 10.481103236984008, 16.997300145440903, 12.516474230791168, 15.671919485817293, 15.648484101797443, 14.7432495886578, 3.301237462587686, 6.169883912631501, 5.75035981257551, 4.271273985321184, 18.023820725172392, -5.539220318060854, 6.112106642045261, 12.10135406868198, 18.159430477998136, 12.259857518635428, 3.851825070331551, 12.816897126114293, 13.967598671211274, 17.309586237187585, 6.3353825186652, 28.706496052531662, 25.415411327535278, 30.594497201429974, 24.039589665401607, 16.767479468792654, 10.622323333513869, 24.110235581706252, 25.17151166955938, 15.11764654344831, 2.6285955227308904, 4.130611913111522, 2.256145324114046, 7.4542257794763085, 4.374885702336815, 4.853333906863452, 5.190121460317839, -10.406722329338205, -15.869843138784518, -16.682085441799206, -18.193273801145935, -20.607163269509257, -19.89230297826589, -27.795418220803377, -37.3342877502852, -36.86726699971412, -25.16709215878834, -38.12723036541863, -28.088877784477283, -19.24555873526791, -14.542523981623667, -19.077018205198197, -7.9886468169954306, 5.215134064315155, 7.1448143619758415, 1.7819400589512386, -2.3983030303207515, -11.2251853518542, -7.1836998697022745, -1.9731634481197817, -16.832234213516642, -23.7002754534291, -20.14440008773109, -14.48614639913509, -7.455137501254743, -15.758303929910412, 12.652542507226464, 11.920126233765464, -6.711132920345964, -7.549125297658238, -0.8553999500464586, -7.964665701539813, -12.410257705799378, -3.8122792793886955, 3.732019612837312, 1.6487635168450199, -19.30837874877253, -8.733747972087027, -9.112025909061055, -15.426137568993028, -10.935817740891627, -13.526022344975079, 3.4928702631553517, -5.873152253237338, 3.0996102463020785, 8.952429072028998, -16.334583510231067, -1.9980926434334485, -9.695824810941645, -14.361774326235277, -0.641689123892375, -15.625237963340277, -30.578752254396246, -30.677130681236026, -33.85364703176046, -24.978127051136873, -33.98651058293539, -35.718873676170446, -37.583844602986396, -12.468520109703494, -20.833893805637004, -11.967066821894027, -30.61161774007458, -24.152776281085888, -14.670414877389769, 1.4016617104106803, 12.810027146521081, 3.5261926371905954, -13.067817299750939, -14.8732570094338, -1.454321477972396, 7.038002704739789, 15.741863849682485, -2.8533538150456774, -9.226684841355851, 17.997749867943828, 15.495660953878776, 27.501465083828627, 26.932077113581997, 7.677401331155799, 15.973557696392096, 13.745351102994972, 8.459039554675417, 15.018239566725333, 0.7383772995705211, 12.066835101812515, -1.922346659175238, -7.31890391233901, -12.819160616293448, 1.8438533617069268, -9.34171708039674, -1.6848136063235124, -6.710396264164816, 3.573487576852396, -4.489032437308188, 3.7200200565604264, 4.394994645663409, 2.472007058724656, -12.723467697665727, -9.670284131104074, -5.061924728807872, -0.6144328954587941, 2.334884055955918, 19.39547540695146, 8.644434594304668, 13.82992513352868, 14.970883894852417, 11.818325089377105, 32.42171670209553, 39.337133315707895, 12.05426595021742, -1.1249691348865092, 16.216984317689505, 18.04742887627648, 2.7322472589195, 3.0234663963204063, 5.113669447988986, -21.13647313873124, -27.080745518315485, -20.76381654199272, 6.82690860315531, 14.79931914639617, 4.643047680535221, 24.537684447648843, 29.366051591448667, 6.5234899144199545, 8.576555116235104, 13.830667769232672, -5.6046796247855895, 4.186670026047657, -9.255874018211514, -18.559647398746208, -10.20612595899646, -4.168167110081578, 5.442875616729696, 13.463778530205293, 5.00915787947609, -9.048660757701299, -2.6799951825247774, -13.614859633261046, -12.358487006497883, 11.771621710105729, 18.03949580620643, 2.817632870043866, 12.58693192766398, 13.244138890380194, 10.004023152815037, 9.146091629607252, 21.348564927934948, 23.12263424035233, 34.01876524172374, 3.1090700077841333, 13.713929438955098, 10.706542023696652, 7.06342910997089, 13.94660050658148, 9.267248170890177, 3.9710905590122083, -1.934900123278179, 2.89940769350369, 6.60726627296785, 1.9852423272525384, -16.83799907055339, -2.895973594083989, 14.831221189271067, 5.191267015310093, -7.806753487143425, 5.882263906725951, -1.317795654814896, 3.295382419247975, -0.29633686828343775, -12.84670248182852, -19.723163304296452, -14.883606767764059, -15.631742407891094, -27.37158587156555, -28.762261883033062, -22.98721204446959, -12.237731306187587, -3.6272079932989953, -4.393567032239849, -5.319545343584703, -12.006094604593653, 3.7714144040109474, 4.904581474195107, 8.938795409544262, 6.712507954151403, 0.3636866264765404, 4.699801321216861, 11.703615380960162, -16.88985482046548, -10.606065405535526, -4.058792263094546, -4.407989386875722, 18.814546345227278, 23.92616163768555, 37.389276542648766, 42.39130266672865, 29.53259101227475, 17.958174098349023, 11.221434591360557, 16.66163623562184, 9.603529379416749, 11.842428451389075, 13.330320160329569, 1.0017935916917668, 7.023089334545634, -8.204924280024027, -8.54493017141707, 5.454237709957412, 21.50127662415086, 36.309933268889424, 25.536592984384022, 15.4810515715706, 10.915749228750995, -5.214293170411089, 2.919871389209886, -2.0623001817844266, 1.6542935727844545, 8.641436106351453, -6.466566162407006, 21.206041281931885, 25.69817359323011, 22.62045076088836, 19.684254278516093, 26.821865484981615, 22.87634709510291, 15.935511095797246, 5.8213776118808, -5.421077004808836, -0.07151606635699359, 12.39991146846245, 17.818838898097443, 16.294051373068847, 14.111957807439994, 22.674263130909278, 16.301419484828045, 30.0205414501945, 17.654275124788192, 7.171683299842783, 26.233747516646517, 22.82113983311339, 18.57077395597893, -9.485682416831423, 1.7425942184028118, -5.615417332636198, -2.8384222711678686, -8.098790511928332, -23.669499734147568, -5.854991336215004, -9.115392335492452, -29.970217037275248, -27.48546885919205, -17.58095817594834, -8.557245204344483, 12.067383921171764, -0.5757164792964584, -0.16648606269058508, 18.362946495330604, 18.51765805770104, 5.653552661466286, -3.391398472968472, -16.13538170488185, -19.96926114333057, -28.510923425823933, -40.261528198873975, -35.80064437189757, -28.47745151728354, -11.562474194684226, -6.409562228522175, -1.9111814346871085, 9.303984006785125, 17.660905371954755, 27.28034846965501, 31.70521372645581, 9.108070980273762, 18.889098156976168, 20.068811417595526, 26.951724826849656, 25.293502549426577, 27.10618560626851, 24.483806033918892, 0.9612446724771004, -1.1547170770504929, 2.746958353581842, -5.3881083875852775, -17.10338667186211, -6.696157954758022, -5.268512700810304, -4.539688467710499, 11.855413832694136, 5.357952634939908, 12.55661037742523, 25.712180209428077, 27.84258847863218, 26.120434460952303, 13.416270399822196, 4.185305493580387, 6.687230322210309, 9.497594568082988, 5.716713036511917, 9.33248348003572 ]
Does the given time series exhibit regime switching?
[ "No", "Yes" ]
No
binary
null
null
39
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Regime Switching" ]
Identify whether the time series exhibit different patterns over time.
Pattern Recognition
Regime Switching Detection
493
[ -0.0010731434056032313, 0.012182526738302214, -0.022974099616597705, 0.005123261494930718, 0.04687043455318246, -0.005509852930908972, 0.007554599386695543, -0.014070629561405756, -0.027909408704574246, 0.026932752184023682, 0.0026616576163232793, 0.01234197427842434, 0.0027624198121816495, -0.02025035814795779, 0.028899808803224705, 0.017220778518022218, 0.005950909763180665, 0.02117729973983095, -0.04653352722896555, 0.006369630117656266, 0.018896437109380285, -0.014919770825954111, -0.001844474629395942, -0.007888175207536943, -0.006841659340706093, -0.015322867439912976, -0.019974692561550475, 0.01805707120916752, -0.026152132064100303, -0.003097808019088345, 0.033678797892689606, -0.0072427930660529495, 0.003928086966713458, 0.005734521289716149, -0.0009660292346386507, -0.0014650655166445654, 0.004700161355553449, 0.022804412124696083, -0.0016871020673331896, -0.0048543238935193165, 0.029711715627520598, 0.005552461289028464, -0.0032965499517352203, 0.011715895651415027, 0.006799096275492789, 0.009777432100360441, 0.0027828562352562353, -0.0005632742029611417, 0.020499354058145694, 0.019672515761339212, -0.025548757350506743, -0.01225173900381572, 0.017494511454247047, 0.001931890691003418, 0.009941592258621101, -0.00008207356358889105, 0.010189325156937703, 0.043143631758473716, 0.042105782025022395, 0.006306051510172876, -0.014414749534451567, -0.006418572264286092, -0.009170790026833553, 0.015588495981777004, 0.006968449379356234, 0.0075690844771683415, -0.00501978958746495, 0.017894701247325076, -0.001730327960256725, 0.001219916090905564, -0.002178153849024837, 0.023132636277353485, 0.02386952223419046, 0.004921729662640053, 0.0077719548515292215, 0.012981207235290584, -0.0009307769837486202, 0.027298577359297183, -0.001702722315663022, -0.0023598275693392373, -0.016534648186973255, -0.004400388713699669, 0.005812723862429621, 0.04030039809833563, 0.01038375859304097, 0.014642630300044467, 0.011697253926403679, 0.04112780065268395, 0.010097364349877763, 0.02247737435859014, 0.0275675772629293, 0.013129802287401644, 0.0074781840968908735, 0.03231912993633951, 0.0012485950030534636, -0.00022599938664724997, 0.013922330830279528, 0.02145416674539287, 0.0029917875183670967, 0.025638624468096564, 0.026937621230296846, -0.0070467361257860045, 0.04156101750058701, 0.01608668796150218, 0.00814599569801826, 0.040582552658241886, -0.0022334733676406017, 0.013372511562592766, 0.025047415868403138, 0.016657860186772733, 0.006760085127875862, 0.019142465569187483, 0.029514858878554567, 0.0213599135022028, 0.02197683992428727, 0.01816198304938282, 0.014211846800521597, 0.031486477479834706, 0.015409082435082369, 0.01420904944279364, 0.030572765863149547, 0.004847054984663207, 0.005634509166336385, 0.02875760519747609, 0.016522521624979514, 0.007784200349683051, 0.03981672176341093, -0.0035310020055968096, 0.01151918493731242, 0.02892559772532292, 0.018937151521667056, 0.017596398954180494, -0.006914808402269334, 0.017824184801459374, 0.027478124544962963, 0.016368147958251852, -0.0032074706863574505, 0.02885453967048436, 0.015565595308537319, 0.052091598782289555, -0.0032797094012874464, 0.02299000749370517, 0.01828636392016398, 0.021400412188735642, 0.018015583432748485, 0.031867139849716605, 0.008702119003911784, 0.01735755765210401, 0.023466464752059518, 0.005410169168117197, -0.014459400085005156, 0.013804925280833411, 0.02038669111209953, 0.010963212767044239, 0.04196256151311599, 0.014882554837367836, 0.022022008545674227, 0.006820368212590092, 0.02726549161206638, -0.008265604550478738, 0.033056127390797094, 0.03237886663882199, 0.005902725203314384, 0.01994552132017435, 0.01643503441210244, 0.03305414972414783, 0.0313489703006608, 0.012086624086228081, 0.028262884654984517, 0.01865250509529566, 0.017546695878833635, 0.004465212841992663, 0.029695292395562595, 0.02230543571732986, 0.02719274680237423, 0.04790546338578202, 0.027148874577061905, 0.004085770407192386, 0.038545191915681024, 0.0482214300170377, 0.03670593184792989, 0.028271588085863667, -0.003153056433914274, 0.04484717101329206, 0.03128342769018279, 0.030281146834594774, 0.04144517089810239, 0.0662874246518095, 0.029202710149125073, 0.02476833931313656, 0.016578845895300544, 0.0476370361368668, 0.03259561513223645, 0.020154737136219427, 0.01839213996819126, 0.02762311925388537, 0.05411106285648117, 0.02480011616848836, 0.03037470069939478, 0.05054079268584749, 0.02929867904100376, 0.008849412200041259, 0.036331169156223676, 0.0050346866842249476, 0.038295513320550874, 0.04191686145176074, 0.04202583459762704, 0.04994576417068185, 0.03760511843705248, 0.02696744831962313, 0.04532445889013206, 0.03979143782531679, 0.011137553628434996, 0.05724802343688205, 0.0004991952928784724, 0.052897241344066835, 0.015555236452142537, 0.01764856241509677, 0.04734611212969528, 0.03398950864434718, 0.028131849126590096, 0.015492367717025435, 0.03985325636450028, 0.015560875356194461, 0.027406053438394383, 0.03558798269333184, 0.05503410443336196, 0.006187072714818189, 0.05248803026428095, 0.040370380630218694, 0.017846858323546863, 0.0556670495538079, 0.014688330846623372, 0.045344704367566276, 0.040457852867045146, 0.036194884152912124, 0.01595093941883115, 0.04451309340352754, 0.058904018212505946, 0.03683334229368688, 0.037078325884224585, 0.03633694694639417, 0.02431787809449739, 0.04458886506125399, 0.046219335122529716, 0.039005252028497146, 0.05768942646582333, -0.006642496505874937, 0.042214697382806615, 0.043431956556011946, 0.04565514278900683, 0.004483483219073412, 0.0616987676676841, 0.024771061386317437, 0.0713377904349261, 0.049737076497266365, 0.04672496394613089, 0.04282495965974237, 0.032962764215842065, 0.05330070273222913, 0.03379112102754475, 0.05666855464402468, -0.0011045774374809358, 0.052346847409803055, 0.04362393725726928, 0.027166418028867732, 0.05691533199467758, 0.02742568199715391, 0.03525205746006663, 0.017705567561149514, 0.02807056333059834, 0.03306617384919384, 0.04223874984569008, 0.05419714247096771, 0.04112400562589445, 0.06927581125459278, 0.010382401580105418, 0.061044657683616554, 0.041124886795255056, 0.055763661585891806, 0.04566607605785327, 0.04282125532076178, 0.0034207664218802586, 0.040713397012074846, 0.007329327750488106, 0.053659783391262546, 0.03149328443382624, 0.04602027735170517, 0.04875596341758815, 0.03035163892433796, 0.05325467592416409, 0.05988728146185565, 0.005560784581391254, 0.046918967917611125, 0.06795901380996722, 0.05274317821145951, 0.0720795225817208, 0.0602405817847778, 0.06890766511230931, 0.03311265422064437, 0.0403412619935656, 0.026505994735387475, 0.044000620700161655, 0.05647700353069909, 0.03826467735727027, 0.04603518179642145, 0.04908921446066923, 0.02100435186920138, 0.07162299969795617, 0.044083394400568514, 0.06575377556793306, 0.04529465816022281, 0.01360296611673999, 0.03505396292269962, -0.001236306482689395, 0.04246687119305466, 0.035256204351278284, 0.04685385724772256, 0.03921136644003277, 0.04766918521318396, 0.020022191026787307, 0.05230981481977105, 0.027774891257031857, 0.05834840701567771, 0.055764453255248196, 0.03297187247863077, 0.07284107460283012, 0.056620824842870045, 0.0547513083705334, 0.0543032758488667, 0.046050070107628634, 0.04487841509141833, 0.03834569108973755, 0.04673294864635663, 0.029650820565288862, 0.04102678567967092, 0.06564546198297813, 0.04825165789770329, 0.03990391467338941, 0.05717243765352554, 0.05098422009324076, 0.027926862499332992, 0.047317924765620016, 0.03618538745667691, 0.07618301906604705, 0.03195121192451842, 0.06391107447460098, 0.05028576516764929, 0.06919493865154819, 0.03680160712448331, 0.021229753940999685, 0.0459697769604202, 0.052702382562318434, 0.0755357974052468, 0.031505059000321724, 0.04320094406331709, 0.05449290580063245, 0.03125286472166511, 0.029555793417994393, 0.04810836645820724, 0.06227880031673348, 0.07375442859151568, 0.03942182151456414, 0.056320521538798504, 0.0516898466609215, 0.05855895891613722, 0.010208384406313761, 0.05767706417265985, 0.06097000674441404, 0.05583941523853597, 0.07294107608812618, 0.09445533922367852, 0.041093288674501294, 0.0556792143931618, 0.04888443329481568, 0.04261202846522147, 0.05426077278542811, 0.06850131280235872, 0.07172608739343994, 0.04554657868707213, 0.04999268265058394, 0.03338631156520103, 0.04995410267234125, 0.07430969204362767, 0.04269534020330182, 0.032629778972774665, 0.04360310223408553, 0.07591143267812994, 0.04966894001496239, 0.05292907767002039, 0.05650632993800177, 0.03583252325062185, 0.07750318643477483, 0.051053868276950395, 0.033416037109058175, 0.05561387383670454, 0.06541196825644106, 0.046924918473876226, 0.07483283141817887, 0.045703562034338376, 0.0724143751904647, 0.06923377723549266, 0.06687002343362132, 0.036487835151183784, 0.06833901214334459, 0.046762902688522845, 0.04374653463828431, 0.07507324764373312, 0.09699971731577298, 0.05262469200071183, 0.07470309840296178, 0.052892093385884825, 0.04125618638353707, 0.0352290660482385, 0.054541640889485, 0.06163762621632602, 0.05048152942446747, 0.043456043502115835, 0.06503538281835933, 0.08189565274969869, 0.035746188116346486, 0.08266564445792698, 0.047820990247561236, 0.06636239224606894, 0.03709035803948155, 0.06347895844598048, 0.05362818576468102, 0.05376904283375122, 0.07797464017322968, 0.051065951722877, 0.09049585442678479, 0.07737780257362203, 0.0880505831175681, 0.04813344143875152, 0.05159780431023115, 0.047652891479464866, 0.05491405710485799, 0.05569169276531627, 0.04937713065236175, 0.06338126181612234, 0.03730236706772243, 0.08656461182911604, 0.06981691058923886, 0.054572775037878954, 0.060044278508223636, 0.07127969934378103, 0.06323859993530054, 0.06341205409589386, 0.04872532962836734, 0.062321252745372584, 0.05729264184545861, 0.061402395538492506, 0.06368934333010232, 0.05132952223008427, 0.047329687897413125, 0.06856855893647154, 0.06254560462112628, 0.09099844101817767, 0.0568879113047209, 0.0482399396024156, 0.08433553012821438, 0.049533188262447306, 0.08228936573066226, 0.07193539389459801, 0.06344583368139582, 0.06429946143730758, 0.07902441136459332, 0.08026255745680962, 0.08575661489868813, 0.06742811981044312, 0.07343887131938111, 0.06174024731968971, 0.06921503630016121, 0.05181997669810216, 0.04790994197397602, 0.07503667532034201, 0.08080529498743659, 0.0609033533888691, 0.05523757429291579, 0.07007381675021214, 0.0915406021174668, 0.08900338956698672, 0.052665074183835384, 0.08217246686804126, 0.061961858849570485, 0.07505157961168957, 0.04203489569819205, 0.06198331180612456, 0.06467153248172441, 0.04935632394726123, 0.06090887549054317, 0.04764646288644737, 0.061104928816108274, 0.08589913975085355, 0.05319239286744196, 0.06624396241228726, 0.07426532320767242, 0.043088260391861706, 0.07082325065597447, 0.05456029974069289, 0.08673485744538142, 0.06733723034011938, 0.0527251898503708, 0.08701801233314688, 0.05499456958097981, 0.05579818661507564, 0.10747296448454957, 0.05033323294856365, 0.06261529210860584, 0.06702087480017717, 0.08409190061209378, 0.07679014705200199, 0.09913528784608693, 0.05043804458710016, 0.07480424710592465, 0.10003725225596855, 0.054604774949973456, 0.08567061832083976, 0.09779146353004811, 0.08797844291767179, 0.052179922714933116, 0.04105247874785031, 0.07663274919891946, 0.0701362112396758, 0.054780745470566265, 0.05981327600194677, 0.06378578364873726, 0.07962667245920219, 0.07537510537496099, 0.05899622575327253, 0.07169509278665218, 0.051568662524226164, 0.07787106624349648, 0.08337230555290119, 0.056349587975874874, 0.07960792203979263, 0.07840997856512877, 0.09801381647362525, 0.051915132464022684, 0.06584760198243753, 0.0771809871220244, 0.08093390110252911, 0.0931731565068775, 0.049074843564655, 0.08262456907771304, 0.07783927658042716, 0.08554071763822277, 0.106215049036558, 0.0764416555154055, 0.061925141821948165, 0.07523743763418889, 0.08677027717549797, 0.08890499116326352, 0.06421792985243652, 0.08006141653361765, 0.07290504087705031, 0.0673195887276649, 0.0761634862627309, 0.06757510741346483, 0.06581986515692974, 0.07773373957000453, 0.057499767631679057, 0.08704632455250655, 0.07711643053046428, 0.08187184218451111, 0.08170419049037836, 0.08067849706314291, 0.06176217787661981, 0.0664546117304628, 0.08420804654767311, 0.06215940063400817, 0.0920235088709809, 0.07262541545441185, 0.08528967835024205, 0.0850698888204882, 0.08512721869350755, 0.08201739157048925, 0.07747109714127207, 0.0705673934307007, 0.09329535096360533, 0.08046947242531027, 0.09773912173912289, 0.07681380135640391, 0.08132609388504408, 0.08909184949540898, 0.08224293777603736, 0.055508853582160886, 0.09715339525056893, 0.05717618972199668, 0.08039783763730209, 0.08033271830506938, 0.07658040230819779, 0.06147167572457543, 0.1007453609928463, 0.07055751375965591, 0.09549718689842183, 0.06781789021802848, 0.08638604778248836, 0.08145614896084424, 0.06935775605217902, 0.0912752267376719, 0.11247996224614629, 0.05586161211763689, 0.10374410630623412, 0.09117131060743945, 0.07463745832819414, 0.10219393084792687, 0.09009625443612265, 0.09012633413145729, 0.08174264772759184, 0.08036153096059716, 0.11729819018398434, 0.06677507204642145, 0.07376262853082305, 0.08770801669771093, 0.06947257123352486, 0.09247687089831949, 0.07232844748510509, 0.0843177616773425, 0.08823162570164875, 0.08480089261183468, 0.09918183813527086, 0.07575522132300047, 0.07093216509452675, 0.06647413834127425, 0.09238214470718943, 0.08931123044334148, 0.0790538850179476, 0.08372962367938255, 0.07639283472701133, 0.08610051536775833, 0.09950769521901322, 0.09440995733383228, 0.058666969036513555, 0.11171495962754477, 0.11881173262801611, 0.08059617566855523, 0.07345603176411089, 0.0772199219648343, 0.09955982566033228, 0.10042425153183028, 0.09226619426413403, 0.10779661559730996, 0.0774957907714438, 0.09368807523127966, 0.07261541863499388, 0.10010700621767613, 0.08804572823676216, 0.09433778565948116, 0.08687742383270793, 0.08197902157814707, 0.12099928342711694, 0.09041804349733741, 0.078237334233004, 0.07912787033544326, 0.09956173623207207, 0.11516004372043918, 0.10127804571560121, 0.10335734545624639, 0.09508675192279978, 0.07775187660549134, 0.10549340249919355, 0.10255803822235504, 0.11306689944623989, 0.09524799070320991, 0.11862234564275351, 0.11403562832522342, 0.09229202152583299, 0.09575441018279941, 0.10779498328507144, 0.10928955157980548, 0.05823474039129722, 0.08879869329364948, 0.10473143508403275, 0.07711905251892204, 0.09058891743932393, 0.10990282198065612, 0.10177249215674311, 0.08811518469738965, 0.10865036999316788, 0.0653343320958881, 0.10220245592961058, 0.07160691611907996, 0.09766039629370332, 0.10529273408466243, 0.10004490723246265, 0.09591913935384884, 0.08050725155741958, 0.0932187312341882, 0.1206123872944654, 0.08783760196288182, 0.09620097864639819, 0.12206815000634286, 0.09229939315743131, 0.09828355942563985, 0.11049374381233364, 0.09766521285669602, 0.1059452989551088, 0.10131624913359355, 0.0970277334858627, 0.11126807737737164, 0.11096245338488776, 0.08301649957407134, 0.11951705607115956, 0.1057573689093309, 0.08143879937579272, 0.09584357186692204, 0.10407250499538091, 0.11989201776938233, 0.08476200709601653, 0.10294516523091514, 0.11253079007593719, 0.08346331484658456, 0.08704458969147233, 0.08827471961435653, 0.1111595364369797, 0.08440359360518065, 0.10296977218428222, 0.13309977563600223, 0.09741168882710126, 0.11532225514506923, 0.11322742383516551, 0.09023919606533279, 0.1186478023860357, 0.11636779598574332, 0.08791844970597155, 0.08168916140868657, 0.11080840706442703, 0.10195008132213776, 0.10158241028557789, 0.09620052278351202, 0.09497514705473087, 0.1100558867358218, 0.10344926849372503, 0.14074978905861424, 0.10899684717729005, 0.11650526260097659, 0.09768717084027978, 0.11057547811264612, 0.11660674686960334, 0.0805313985233769, 0.10670405849180571, 0.11839491970022334, 0.1227228849521034, 0.09419009256086354, 0.11066127881376531, 0.11365054107905914, 0.10553818205806104, 0.10231847422081854, 0.12617238735600234, 0.12748943498614207, 0.11056394153755808, 0.10837775469071027, 0.12889659767548695, 0.10533742062966017, 0.11935997822851589, 0.11226431621771439, 0.10509324188684624, 0.10113572330957568, 0.07515662354860844, 0.10594222438977485, 0.09387831175164385, 0.1054927912698718, 0.09491913393160642, 0.09950840274787026, 0.10840337096991029, 0.13465516471081865, 0.1321851756821678, 0.11493708010629625, 0.11912609452237474, 0.12799785670743746, 0.10421261553573549, 0.12665498760407493, 0.12197385132602764, 0.09970587915515168, 0.09244539805562275, 0.09732745886683566, 0.09356498968834803, 0.12751503484498009, 0.12500403604088717, 0.09232622473128485, 0.1212805361307, 0.11273943443198803, 0.10471581509867059, 0.13473017198577084, 0.12128259886516252, 0.12601394920436573, 0.10861909290026625, 0.1292551784694724, 0.1310761096556582, 0.13505890102846946, 0.12139635669042222, 0.11793881272269038, 0.10778463533516004, 0.10405681011298346, 0.12331269183444168, 0.13434525640955663, 0.12275763584632172, 0.13509728568161547, 0.103748302746625, 0.09093188665554497, 0.12359082508496343, 0.0934557134024069, 0.13613309180075497, 0.10642847764905687, 0.11966056328627596, 0.09191181397156509, 0.09870247315592413, 0.1436639202772459, 0.11615465641632254, 0.10474048351855783, 0.11139786601171647, 0.10750708819514097, 0.14566008041674688, 0.12028245249175357, 0.11036556036934911, 0.1375032649841157, 0.10250025003861975, 0.10090315149562562, 0.08473318374398305, 0.11325219006164876, 0.11525364845327211, 0.11401280659790954, 0.12261374519836642, 0.13466206910535705, 0.12587692219227373, 0.13859727047916878, 0.10641363621295724, 0.12424103794674858, 0.13262226066184316, 0.13262995426985408, 0.10619873544105059, 0.10551323430893073, 0.11715076721424411, 0.11794665740663465, 0.11647273287847429, 0.1270665057072082, 0.12116226330744462, 0.1407510878659573, 0.09755523988462683, 0.1154301528920669, 0.09858543264800479, 0.14575998449467853, 0.10458725397761028, 0.11325965037964997, 0.14375201630487433, 0.11999764693137083, 0.1057034578026401, 0.13708750857190455, 0.12575876357055576, 0.1271404003558461, 0.1417208415288151, 0.12818505333845523, 0.12987045674131378, 0.11428352408053682, 0.12395567792955024, 0.10986407787566267, 0.12462515087600826, 0.1225663197739875, 0.10374539081913915, 0.12174266576983468, 0.1501560675071255, 0.1283229086169649, 0.11243079116651133, 0.13125686164485048, 0.12761047880946, 0.12185205327282932, 0.12039676863548675, 0.13455190164299377, 0.11208383395773204, 0.12987969266734226, 0.11174024397451854, 0.11434602854218666, 0.11250937054078809, 0.11531413357110808, 0.11497689551817464, 0.13050266677225492, 0.1341857393794502, 0.13474218138441035, 0.11204046454587197, 0.13683798400298658, 0.12993092382276486, 0.1387276516685233, 0.1229016559324171, 0.15036598404009827, 0.13204534746557606, 0.14655017567939033, 0.10947348513445615, 0.07943739205383117, 0.1407750219930344, 0.1409096756674283, 0.1414525790625043, 0.12860563876136008, 0.1459645588804201, 0.11502228207164211, 0.1472198115734644, 0.1193209069836271, 0.13576308426888048, 0.126803108921208, 0.12298561555922187, 0.12087642298176662, 0.11324074879945423, 0.09005250661876499, 0.1364460683366102, 0.09828283615081676, 0.1432954354001992, 0.1213900394959239, 0.1468054103263557, 0.14411463767934785, 0.11937058361721269, 0.12857601298530397, 0.11174073820389666, 0.1118897214839841, 0.1274125619062016, 0.11404680242657271, 0.09327524546426044, 0.1229683847729018, 0.10680358240362448, 0.12566225552535856, 0.1541339263642154, 0.13152018975093463, 0.11168543824469947, 0.10280595849857449, 0.14914690282279097, 0.13834803500661055, 0.12756907195479164, 0.1202945627055222, 0.1528477311426383, 0.10699013643938021, 0.12306101260183454, 0.136156769822838, 0.12336310882711722, 0.1303251035083433, 0.16000727114872126, 0.14786494073233122, 0.15348891101251072, 0.1388616534309525, 0.11809066874837601, 0.12947498266879787, 0.13554726415627066, 0.14664817852691303, 0.15627772378107962, 0.13392426984344644, 0.1274807966595939, 0.15007286334037423, 0.1390347849327017, 0.12352243479076518, 0.14351390916546614, 0.10683793213316625, 0.12277594831056148, 0.1363444603905285, 0.1456467157645384, 0.1407705290230097, 0.1495504573088424, 0.12908675830857316, 0.13775474774301727, 0.1502710945998634, 0.1075186712380355, 0.130579125233079, 0.14266069987806848, 0.1519648520852479, 0.1316270599906634, 0.1348311120605108, 0.1447410362351128, 0.15291078591783852, 0.1344382951389726, 0.14159904494212908, 0.1571955107437105, 0.14569261327309244, 0.12981843650712055, 0.16453416399143841, 0.15474246784877957, 0.11882584335218122, 0.15320097356276233, 0.13504604329182865, 0.14464415455099477, 0.1456450167641912, 0.13180614783483965, 0.13357851179162752, 0.15368836797121455, 0.14754393734981405, 0.14430076747415937, 0.1371762242939286, 0.16032197608315524, 0.12074191534222387, 0.13786144544261647, 0.14980449886435215, 0.12816932114221855, 0.17418802298789496, 0.12727933302130265, 0.15924415095842637, 0.13763385736529082, 0.11712002834302623, 0.16489333631232275, 0.11155413183177278, 0.1413609243877864, 0.1337764018199722, 0.1527232562086629, 0.13582506821347265, 0.15205458152356757, 0.1489585982820407, 0.1374413669846706, 0.10992849379271336, 0.1752280392665359, 0.12589985547983268, 0.17336359603040305, 0.12790199104997277, 0.16175214293362342, 0.15695211306876364, 0.13410405851129376, 0.13724201333950725, 0.14869975718816142, 0.11929290045404953, 0.14030844272736387, 0.11107777379256256, 0.15349208434636874, 0.14791220497192545, 0.1584312190111451, 0.14481437787884682, 0.14733355491851613, 0.1482021332147071, 0.1588463862938993, 0.16160307405205843, 0.13823218670361323 ]
Given that following time series exhibit piecewise linear trend, how many pieces are there?
[ "1", "4", "2" ]
4
multiple_choice
null
null
5
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Piecewise Linear Trend" ]
Check if the time series values increase or decrease linearly over time with different slopes. The slope change could be both positive and negative.
Pattern Recognition
Trend Recognition
494
[ 0.019765629251706263, -0.050059065601606126, 0.04194628562574357, -0.07444933269133241, -0.1058971122413008, 0.13643898474992344, 0.10642666421904491, 0.02513921828221753, 0.07325919668849472, 0.11420926556529104, 0.03583413988101893, -0.08031220794798485, 0.0741706636940205, 0.14813121099347715, 0.11091249207702693, 0.06121004854173828, 0.11549408033190348, 0.040325793821353206, 0.17075311935591514, 0.20473896686284462, -0.0559120354676374, 0.18898497294768207, 0.30480528026462833, 0.13732098631862735, 0.18682319314589504, 0.027423121612091428, 0.04544740202561319, 0.07855243522959869, 0.06294377610122984, -0.024308371862591868, 0.09329319162027361, 0.19788294573879364, -0.011922426697520222, 0.1395284515143939, 0.14014563442705705, 0.0988543084469834, 0.1823237397784644, 0.17662243175729803, 0.1027985329294453, 0.24981619055761928, 0.2034734822958592, 0.3084452623588655, 0.14814020263309058, 0.12629192041249232, 0.14130707828907327, 0.28367068230245973, 0.15465460222746813, 0.16444523772781777, 0.37299223983961605, 0.04613237796409858, 0.2199475622079659, 0.18180528574909863, 0.16657527576713252, 0.09998521955986157, 0.1326148534729124, 0.16188303474831073, 0.25595146670626895, 0.2953068377009817, 0.03586708904027561, 0.09727685283481931, 0.2759075455300193, 0.28802988974208127, 0.08212330180353572, 0.31960346308958376, 0.2344627640064569, 0.3142524046913713, 0.1580568147758366, 0.10791346418631859, 0.21973578166151336, 0.2278588980390423, 0.22595397714005833, 0.22263734986662795, 0.4346313127806926, 0.09904704993739044, 0.18822560821025966, 0.2345399543947739, 0.2824821417965421, 0.35487033617241814, 0.3739904456634551, 0.3987919293707165, 0.34297030759745717, 0.1255081073591835, 0.13575871423221395, 0.4206098094038458, 0.4178287749451345, 0.37685354146177774, 0.23490975971544537, 0.2883699108035779, 0.2844209219898027, 0.22551954542794825, 0.35758285251149025, 0.5509102649046644, 0.2894858955878345, 0.47241135206515206, 0.2578852614819963, 0.19643823354080414, 0.4525394293056466, 0.3355937550929405, 0.48828535265106077, 0.5119351333497651, 0.34069030258671473, 0.5065180336928625, 0.2882962322432855, 0.29040711880988423, 0.4904997859061422, 0.23217692232570064, 0.39048707793876614, 0.5192936203425993, 0.5296926384033231, 0.3584321179972277, 0.5063072673751946, 0.2967764105666014, 0.34601786100091103, 0.43948109543747504, 0.457900564206015, 0.3190380737849152, 0.6137237404014456, 0.2434351022253209, 0.44028708483951484, 0.45814275733466586, 0.2675413522999507, 0.5783355699936676, 0.3755603009542634, 0.4631387706823254, 0.48978239255255074, 0.3152380779605638, 0.35713535620241144, 0.6243372784813318, 0.4651366425014237, 0.20569936925773774, 0.4488982637201078, 0.47948555061261083, 0.5083981155106279, 0.29025858808384897, 0.49090081056212215, 0.4142517761941902, 0.5233057489688965, 0.5555212061214019, 0.5485723296040361, 0.6526555532693985, 0.7350005520547416, 0.4062684976889557, 0.48511612559466, 0.6013056459509998, 0.5180051711713292, 0.26209148902940255, 0.5188007335095324, 0.6651554143060825, 0.4059518823174584, 0.5711617888679671, 0.3620605019039665, 0.6434849237106302, 0.584323698629611, 0.5070442036458368, 0.5257429393678438, 0.42131639635977436, 0.6756717210917814, 0.498658746286202, 0.6323090133549003, 0.48977341005466074, 0.8094900350816296, 0.7493015432558293, 0.8043948419609006, 0.8197586143589705, 0.540938916419063, 0.5196631864970511, 0.8143750764333171, 0.6013398381605878, 0.7024540401321476, 0.5607494291170907, 0.5660795591666322, 0.7131840125049332, 0.4368861119385106, 0.7158762987590799, 0.6936914922736114, 0.5919139817505867, 0.6510330588814267, 0.6703854984949343, 0.6796881214758813, 0.7286849730438343, 0.5818577291759109, 0.9368138523362204, 0.6501671954171008, 0.6613424899807048, 0.8725661490860385, 0.4988778201619398, 0.8788934689533778, 0.698499165974103, 0.6398208205328454, 0.584558543162499, 0.5732989159654301, 0.6697120425827628, 0.7353780378225961, 0.7735146750565598, 0.7415519503571137, 0.6676148627010742, 0.856272201771095, 0.9933865758187925, 0.8791540746640946, 0.6974477779474852, 0.7872700713824626, 0.797364992605706, 0.904800460930034, 0.7143000542806379, 0.6553116985644865, 0.8688738821417676, 0.7998117734804411, 0.6519832436484108, 0.837102051863781, 0.9540555430786668, 0.7045393540895478, 0.688500460463489, 0.7842923050928255, 0.8530011903672626, 0.7811652187270818, 0.9057843904735021, 0.8220979029613659, 0.900877851897014, 0.7313153245746927, 0.6843109467473442, 0.7767650486253708, 0.6798090617820989, 0.8590714872686461, 0.620153960293479, 0.7802369403402775, 0.8005992287512024, 0.728216635724361, 0.8059302258914408, 0.840678063836419, 0.970859496134481, 0.7435479332429317, 0.8870405678543732, 0.9105680276128848, 0.8565606056003416, 0.8125586020881352, 0.752148896241378, 1.059589939556381, 0.8806827549430302, 0.8455484166796263, 1.09294433581289, 0.9067032962483851, 1.1425097248773424, 0.7502133750727293, 0.8718166839462893, 0.762213956919301, 0.8906888645860435, 0.8938957112062472, 0.8644686225383869, 0.9193459862526774, 0.8767127242689372, 0.9102904139029837, 0.8494338360585548, 1.0729805170063806, 0.8215087396778475, 0.9573053661145252, 0.8204897862149259, 0.8562597975956643, 0.8991432616364566, 0.991007114469966, 1.0539427582339094, 0.9579432915144862, 1.0594807791805034, 1.033932308391765, 1.0617312972131479, 1.3108336619599554, 1.0904945896648741, 1.26937701793635, 1.463931308962218, 1.4469552395383782, 1.40109067491474, 1.3891448486198312, 1.4966498766921668, 1.4921404851427598, 1.6296790935504004, 1.5062600516942357, 1.6519575380361926, 1.5514902077319306, 1.8056278497088596, 1.6323090006651952, 1.5188155754788584, 1.7206950045975022, 1.8216000963938297, 1.9402234638384133, 1.7099556172358865, 1.6673439614269707, 1.923672931874238, 1.9527940444363314, 1.7973252702856573, 1.9376881196749354, 1.9743879740727348, 2.1173907391250895, 2.0259235974735277, 2.0559584956033667, 2.1431876518910635, 2.026129308913714, 2.3862340531927666, 2.321778103703572, 2.190406906632487, 2.181038273130964, 2.2210016178878758, 2.4159071297356505, 2.288410355841917, 2.39673110522453, 2.2847970061392027, 2.540221306824924, 2.57618505245817, 2.532068641551701, 2.6020967439436773, 2.6945304789549542, 2.66383947211085, 2.7574725279141656, 2.5948049885963806, 2.781687499929698, 2.795378638999523, 2.9284474195240118, 2.8435016353740967, 2.862943691535404, 2.849181929707289, 3.0862334879258615, 2.733707716480835, 3.0526585248734537, 3.0317186526102593, 3.0476110992602554, 3.0652555021180947, 3.124817670144757, 3.2104732221608705, 3.1153301059946665, 3.2405521669331243, 3.2943409560126655, 3.1961052102788066, 3.374082879775858, 3.391803416263723, 3.3082300663088535, 3.3015339103482626, 3.371346128115823, 3.49831053009501, 3.5093951106867287, 3.688596030843957, 3.5447062094341577, 3.52472466020978, 3.7115520259585812, 3.580062875525874, 3.6311973499186645, 3.6647217262672136, 3.474976339356996, 3.8636137521790492, 3.9331406097199606, 3.9630265944875367, 4.0921161959704255, 4.08649184308027, 3.934607541669769, 4.111143669668405, 4.022671026077779, 4.022053505314454, 4.021308131816698, 4.102318937133307, 4.194193980508172, 4.35162597919562, 4.29859211242617, 4.180812195609655, 4.185745599594436, 4.379228283891433, 4.444826738985453, 4.509552334594334, 4.392145038729864, 4.498185862079218, 4.569033666407354, 4.380560500398669, 4.5756590017064696, 4.670532001907064, 4.663351843491603, 4.636463456645148, 4.93773806474355, 4.902010839296075, 4.742113971539316, 4.754417142200167, 4.875633110952455, 4.832067787584883, 4.997190336053957, 4.775526178461138, 4.910396979465484, 5.035206972520562, 5.099272618128334, 4.883021447271436, 4.967922350160761, 4.927918124804898, 5.040441646703729, 5.032253471301646, 5.2461034502915265, 5.247306220254545, 5.241238278294307, 5.291446094232321, 5.4404759955069535, 5.249040554514229, 5.192462729115411, 5.488749500258301, 5.410817366291224, 5.380285641931167, 5.569745717013396, 5.3497953898198425, 5.493016591643073, 5.372125231094224, 5.669115804233621, 5.8327907256112015, 5.650319265353051, 5.660698136197558, 5.950523354694198, 5.867026931601892, 6.0745427471473015, 5.884794529933275, 5.923593399484205, 6.077628055776662, 5.950497712874184, 6.022295555543025, 5.787661504577823, 6.235777185131018, 6.133309642156076, 6.115700041905442, 6.249387577190695, 6.072722392261562, 6.167946069656858, 6.31063290732307, 6.2919173906649775, 6.364393352238158, 6.376876002001758, 6.447215369740886, 6.284296236465883, 6.576406377392305, 6.43241869629342, 6.518795992487144, 6.485160593213233, 6.548713073220806, 6.6325784134325625, 6.715401315762265, 6.764222977506298, 6.749566421999885, 6.678951206878591, 6.807690787239778, 6.8269905016676455, 6.841083503062976, 6.920814746664053, 6.7720320835903465, 6.729131272091817, 7.083038611807997, 6.983116735177767, 7.07006238959804, 6.97392839655735, 7.219122808980362, 7.160123734031967, 7.139379477095375, 7.218125833006636, 7.047592025336718, 7.291290410167982, 7.43487565479324, 7.3499362876816425, 7.369238084973908, 7.351136084983666, 7.52333079458221, 7.5703709886709944, 7.436291078653011, 7.547565592477414, 7.567137774845761, 7.616308872979637, 7.531074649702925, 7.754840247307782, 7.729299874106908, 7.825233989552424, 7.625674491304336, 7.6637656454728065, 8.007579226391655, 7.948568081003118, 7.78456181118044, 7.9851012621578406, 7.883920003319186, 7.792845897507286, 7.784907218264868, 8.024948815565946, 8.215443239370744, 8.24371735784657, 8.249808468245096, 8.239010507933425, 8.219961287849962, 8.335636655273559, 8.051567035611834, 8.383849887289895, 8.204986004059702, 8.258029639215017, 8.45110258494559, 8.506605862205223, 8.384977375492088, 8.542782938656245, 8.5666722606049, 8.51152976469696, 8.590195002212251, 8.815113745504384, 8.611083962427065, 8.646746990769852, 8.718672328581347, 8.717591699204, 8.84715270316174, 8.947242283825457, 8.807866438500515, 8.779070222500907, 9.09445495577541, 8.941160533629951, 8.790942236294683, 9.179837847834758, 9.13844462616078, 9.218175536396751, 9.233681461061419, 9.386970939398818, 9.050993887480551, 9.075122750245866, 9.10255625324017, 9.09679306413733, 9.158267866520998, 9.094077941481602, 9.021207815163832, 9.04981418656694, 9.104977693966275, 9.245878111052662, 9.071012110246158, 9.206634974949706, 8.990605364203065, 8.79993855212138, 9.103605873910247, 9.053017574029093, 9.022939790967564, 9.008323547098037, 9.034552123055324, 9.003663708155331, 9.00982016000927, 8.960704093213137, 8.880743828792252, 8.869838206623369, 9.333982932153924, 9.0786444033897, 9.234518390666295, 9.0614000967064, 9.061826617256797, 9.104016399047467, 9.134451464981472, 8.942872518407782, 9.026657042522746, 9.092207766913972, 8.865472080386132, 9.185653549921208, 9.159290523137956, 8.839932206852506, 8.959304860913079, 9.054784946121423, 9.125579266495254, 9.191102818648332, 8.9718510252389, 9.266497293673915, 9.02489935717939, 9.00445756293463, 9.080137892083071, 9.052139531893971, 9.043643931246395, 9.21486672145075, 9.037082731680197, 8.91101330635154, 8.922560309323162, 9.150893329623665, 9.069108840347477, 8.842186092372488, 8.834363528988687, 8.994516570665402, 9.050755016563713, 8.918396478273037, 8.815279281221422, 8.867874196192009, 9.142061542946793, 9.02427849795206, 9.071684766619427, 9.085270955577919, 8.903266066571712, 8.925658250851237, 8.943256275853889, 8.9988203615203, 9.063197425821219, 9.138330150249871, 9.029867285517359, 9.027690716244624, 9.135290284275511, 8.919216382898314, 9.055717619263813, 8.991740637220403, 8.99250265480457, 8.90664972084591, 8.785774316019479, 8.956776071276234, 8.954296064078033, 8.858938460063433, 8.903904346941719, 8.822483548712624, 8.82042685818856, 8.856766680206487, 8.76911426031292, 8.8407053328987, 8.967521672751218, 9.038855067400032, 9.097882120338678, 8.84742006508197, 9.004539148661207, 8.915240922523866, 8.85498318537684, 8.91603396326361, 8.983121291206302, 8.820173676462298, 8.814966812637897, 8.823215907906581, 8.798611569771397, 8.97827228953908, 8.77909418108493, 8.793812650495138, 8.880789538819153, 8.869796872509038, 8.80287435155411, 9.009316553164382, 8.77498590152052, 8.818035950595197, 8.63956455601386, 8.798834903004002, 8.694134081012166, 8.731898295107673, 8.625033901224256, 8.72846449489657, 8.807303869044242, 8.787486877423351, 8.767522914264694, 8.773604806701917, 8.752691203921867, 8.79682495573978, 8.786357732919374, 8.821973487999937, 8.771474274267595, 8.745299593491223, 8.86358285807336, 8.843143037855771, 8.776708184270955, 8.896556159454622, 8.782405779735155, 8.75511867963646, 8.761471858630818, 8.781937800771683, 8.67080112836322, 8.572253405684439, 8.784858375525719, 8.837209906389882, 8.650805544882122, 8.855303729008131, 8.580445932372482, 8.686307752097484, 8.909883225125876, 8.771970355024028, 8.703224015731308, 8.755795417032294, 8.84729621696033, 8.580240968331815, 8.853637999128686, 8.669943434524082, 8.786880643796009, 8.651714858777506, 8.878604610387477, 8.704211041448117, 8.571540730440224, 8.7485251113258, 8.828735530542447, 8.81453391343309, 8.702152696446815, 8.771105255317082, 8.644835978590224, 8.74319161548208, 8.71746420517259, 8.388751375105642, 8.5753124898372, 8.693252564267956, 8.686062640866524, 8.663750482121074, 8.672690756620684, 8.781615123631239, 8.693355643686852, 8.421775867120918, 8.846904513135003, 8.458574002021921, 8.742137938524017, 8.486986855636788, 8.78285780070569, 8.609808961943173, 8.67313168569588, 8.433183000769855, 8.701850373679148, 8.667619341890283, 8.684816510894464, 8.715140910108662, 8.635125198230826, 8.593298567810908, 8.530373753686566, 8.564248080831616, 8.726304027364286, 8.518970666555019, 8.41553511524032, 8.498186463337225, 8.65463908751232, 8.560844658715586, 8.648674312239644, 8.385273902098422, 8.284160882434005, 8.605920994177774, 8.677074489413407, 8.402600742012988, 8.623399649739452, 8.686916748696124, 8.564547100679945, 8.652189602337437, 8.578216345351734, 8.529977207942023, 8.635467263103049, 8.74174053109319, 8.491771721845936, 8.535877732898884, 8.442677417653963, 8.554362381110684, 8.520296153253812, 8.648876348068653, 8.672101034130904, 8.606019826125904, 8.628992778768117, 8.450927786194885, 8.423013279585522, 8.559283272500776, 8.514698624187233, 8.709710550125653, 8.314722277233795, 8.565939869679845, 8.561381931107126, 8.42197613650004, 8.39850926315748, 8.458435859366688, 8.325305985198598, 8.632285450669652, 8.753720128456978, 8.446613864484682, 8.41390784293453, 8.343846589341059, 8.362413812368365, 8.410178109285855, 8.587094409070378, 8.782613407060026, 8.388125145638666, 8.367297465854135, 8.337798548125496, 8.496771875557107, 8.4832100873661, 8.4559756399465, 8.398547751540981, 8.575993656697019, 8.51359435324421, 8.50634969583109, 8.468382240078578, 8.409514558669784, 8.354031678030992, 8.474634069531694, 8.462054897270582, 8.473552808704786, 8.257485360092597, 8.447856572872785, 8.35854448746861, 8.277033865202775, 8.413218693878857, 8.333585452113804, 8.526753165350351, 8.315271456447967, 8.212583591173477, 8.206959517347755, 8.076080354255922, 8.291837712698232, 8.175733837043914, 8.15293069012969, 7.988778289308467, 8.148582667630356, 7.952625166138203, 7.966256425491256, 8.00967358026199, 7.914517657066517, 7.868861586437221, 7.91856350127363, 8.000060125117301, 7.964049484703238, 7.920765826825765, 7.874130668980848, 7.753432693327988, 7.8885587711584435, 7.578363672810889, 7.770815267297071, 7.787048252171919, 7.669372010497294, 7.5816544045392025, 7.625660092369556, 7.5290889051971055, 7.631756887663957, 7.650386601321997, 7.575964627346623, 7.545491617809079, 7.558292232084771, 7.545331820689821, 7.355397932705937, 7.2549083896222974, 7.411978796637503, 7.452111114315237, 7.177065113331773, 7.317520579428245, 7.398953353393128, 7.249956389430393, 7.389198042148416, 7.345950918716038, 7.169778185252834, 7.126757883197394, 7.104080667516352, 7.127982173712326, 6.972628748178533, 6.929624401606775, 6.813794445174595, 7.01431103799671, 7.195797242460546, 6.768339367677765, 6.92445728845171, 6.896935249743762, 6.878631778400828, 6.9950009420199795, 6.755962943133037, 6.625660325034361, 6.742339752811896, 6.704467037983706, 6.523641584411521, 6.7467639717930075, 6.579096449748983, 6.66487017460779, 6.612378533842011, 6.516743356211918, 6.688690084596962, 6.5469637902308495, 6.556019350934946, 6.584715233509393, 6.530407186057787, 6.491539446371548, 6.37010265237141, 6.316779735801911, 6.41927142715332, 6.28277753856174, 6.433895614147791, 6.316979942760363, 6.370277533001021, 6.182321530502496, 6.142261344657331, 6.39975088363395, 6.192399115570653, 6.274150024509283, 6.017118771407555, 6.105490398449, 6.239511728009294, 5.92829576851795, 6.287772010716307, 6.055976758780372, 5.929311808949598, 6.021882580295442, 6.0730836915187245, 5.855096492468845, 5.844932064851354, 5.913530367310835, 5.910401855589741, 5.819738433977734, 5.855298576059456, 5.875901939001143, 5.783360203946508, 5.672364325907705, 5.714900562678317, 5.868100629208764, 5.701266106464227, 5.7674650687606785, 5.567490031048574, 5.62067042270859, 5.649320243559514, 5.695146920814558, 5.643612439542424, 5.384409249883989, 5.58700363140827, 5.61590083193099, 5.365293772793042, 5.308818936729924, 5.371304586674619, 5.367180232266183, 5.289705959434123, 5.181521806974235, 5.422918304246867, 5.165164046872558, 5.17594977265299, 5.213037488996758, 5.030359347637937, 4.998200360804757, 5.085403614608238, 5.186617616689361, 5.098337363160349, 4.849079829530491, 5.169450189861261, 5.085725189573874, 5.000568048909833, 4.973368486551927, 4.999773116359681, 5.14054579302894, 4.971448740702706, 4.888495490486337, 4.71165104681727, 4.8262954649593555, 4.8626571927955125, 4.749289976632671, 4.684012251747, 4.767137794685019, 4.588449873033342, 4.749534412256844, 4.594664113387271, 4.401456566429065, 4.543709887845692, 4.558955223237951, 4.595399497484736, 4.559337645137938, 4.362069882422238, 4.478806755783294, 4.38867926217418, 4.381540052896045, 4.293221383863705, 4.363436306678586, 4.65725289015302, 4.505136065852674, 4.195103679335798, 4.277051095148809, 4.214540514831558, 4.235624154499099, 4.288534813079926, 4.159454070813864, 4.076645622217514, 4.238999548822616, 3.9754303316922455, 4.093246356426913, 3.901188079234782, 3.922673481881597, 4.075242089782463, 3.9083064815681032, 3.764071867719822, 3.854941406668089, 3.8197157688930257, 3.7519387023114183, 3.908666364615929, 3.674458838679247, 3.74582877227484, 3.793445717965918, 3.7213083576143386, 3.6906506999823785, 3.634281561400456, 3.5601559262853986, 3.5938409187426394, 3.6987553567890243, 3.5650773127214763, 3.6006563313831523, 3.6711584621690534, 3.5949094830107198, 3.382783497802655, 3.5306898858489975, 3.5661432627482057, 3.378638799391486, 3.253778724527314, 3.34375399385791, 3.3821115369707724, 3.3980291787825165, 3.262196162486247, 3.0862043610569785, 3.137594777980643, 3.2767101272340904, 3.415267916424026, 3.189488219934859, 3.298453004196026, 3.0369521716961225, 3.053366222145833, 2.8595840701413544, 3.106059672869857, 2.955214870984329, 3.07996985783665, 2.945310560055232, 3.1732058842959594, 3.125827162056645, 2.6916523378013304, 2.9565929064593264, 2.7986244230705872, 2.9131253074991412, 2.6895444033544096, 2.9435248678162593, 2.8779531227086528, 2.6089910774372775, 2.7077176579662754, 2.717570739605568, 2.748745375600499, 2.6511011486937583, 2.7064155932392695, 2.5961841887273946, 2.6399204303229147, 2.4174391020070116, 2.5271088743476566, 2.620202705735006, 2.6217815874743073, 2.473459233445232, 2.421724170690958, 2.543923527466604, 2.372509673258136, 2.4725376400028254, 2.3229030057724653, 2.3130496090382984, 2.174060328023707, 2.1350863232474255, 2.3333099383741653, 2.3832613137654266, 2.1970330718016378, 2.1453250827992467 ]
The given time series is a sine wave. What is the most likely amplitude of the sine wave?
[ "6.99", "17.71", "1.39" ]
6.99
multiple-choice
null
null
21
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Amplitude" ]
Check the distance between the peak and the baseline.
Pattern Recognition
Cycle Recognition
495
[ 0.13180175165494176, 2.0157333814777765, 3.4155414355983815, 4.96056919262153, 5.988556869956914, 6.8987969210299225, 7.141394521341342, 6.6036761707234515, 5.865373029367609, 4.689303174267816, 3.033280505250799, 1.3730349286777292, -0.5091021080685938, -2.5890758850547915, -3.990687432871443, -5.503610596907522, -6.3567306310156235, -6.999988828571718, -6.952350805710212, -6.188208504486726, -5.524236988948109, -4.166106887045555, -2.4682087093169316, -0.9277992868635323, 1.3106041933784225, 2.971961626219898, 4.417307955639702, 5.623356613621535, 6.7028775911927685, 6.944347939266341, 7.006070065256474, 6.391779893845761, 4.927425189518771, 3.396387700703542, 1.9359587082172844, -0.07618018084251035, -1.9364956224861325, -3.591818806011378, -5.164463651500976, -6.4355128525879515, -6.806502828648081, -7.051817915256015, -6.732279167402002, -5.9509574442178135, -4.535858170107538, -3.0631247544469185, -1.2184501928750586, 0.5937556501419403, 2.3883399023737812, 4.105009410266086, 5.286944729002931, 6.412355240527656, 7.023789410239742, 6.924158063215548, 6.253751588914318, 5.405395461235248, 3.934128774416284, 2.3320559029316072, 0.6206293573892309, -1.4109349913466345, -3.033241243486354, -4.697527223558475, -5.850605856155888, -6.544810130343571, -6.92731770359498, -6.831479049356277, -6.113645017147373, -5.066586217355888, -3.585707691506823, -1.7167930201533808, 0.013557544028258763, 1.7595917274445458, 3.439190205965897, 5.077874733276764, 6.05242937771121, 6.7373195501206675, 7.065610273744123, 6.6616837825160795, 5.764223697415382, 4.620136691868806, 2.885642692120214, 1.5134952245250344, -0.7501643735511893, -2.5398034774779057, -4.080860856615768, -5.3759158659493815, -6.5392483995202495, -6.911441738345224, -6.969893731216189, -6.568165928528294, -5.550631697663541, -4.1515507811700285, -2.432496643226493, -0.6712998176395917, 1.22880023413578, 2.910786848546886, 4.594466738929278, 5.693654887117701, 6.7395850805644875, 7.0522588718654315, 6.76796814029776, 6.385317127809561, 5.029320445159817, 3.6780090535697934, 1.9758389258728764, -0.021654113232533495, -1.9882417672053416, -3.614180124081695, -5.123548027947131, -6.105172780674196, -6.8075436373238905, -7.046224871505968, -6.519652297702172, -5.71449733036372, -4.6259808074739395, -3.079446852599839, -1.3461207897492735, 0.5767355257930873, 2.3930007607283517, 4.105701590395503, 5.298561584988065, 6.349042351357149, 6.770590047221974, 6.961835719881029, 6.4692113077898, 5.5197308081637075, 4.140263973367733, 2.3735427015197503, 0.5412441140054469, -1.2087261088598285, -3.232052761233815, -4.56414552731401, -5.820355375201537, -6.597381463903335, -7.13079401906046, -6.835908132996236, -6.255320697753427, -4.944640323163276, -3.427395168600462, -1.8433285115402431, 0.2782411967635183, 1.7904963855724352, 3.6329972458742255, 5.085849571627816, 6.154240784881493, 6.7683040304075535, 6.936712472435297, 6.727650213250137, 5.790239117291941, 4.3663515878935515, 3.093339128306511, 1.3518398008434847, -0.8567689462014569, -2.4210948897365805, -4.020657057555083, -5.50324901376785, -6.6060215507530415, -6.998803365493941, -6.887708763518351, -6.456860426868651, -5.299933689299307, -4.220627397806425, -2.437612454666782, -0.710219241144559, 1.2954022718669238, 2.9990489920279124, 4.730770676314666, 5.950122576338446, 6.81316029843371, 6.930119219425549, 6.856248752559439, 6.037008693858584, 5.123109057697472, 3.491718697149225, 1.807797629333914, 0.0880396813831038, -1.874690674866025, -3.646716740393999, -5.064708650930415, -6.004515508625699, -6.789142163463174, -7.20232298406073, -6.660886207926949, -5.71809797731385, -4.612015689476834, -2.9424839831988914, -1.1575489946329873, 0.7186138116717873, 2.328439998725627, 4.141400439770856, 5.718350777670815, 6.439501019360228, 7.067209405617028, 7.075745666407, 6.3729135594920665, 5.595695581664556, 4.146038989554435, 2.48193784657527, 0.5685619249269348, -1.2768707321447246, -2.9813886825384066, -4.784461032527917, -5.656947090919748, -6.742390059621049, -6.826877498642334, -6.645898858339935, -6.240715249260116, -4.903921351582712, -3.4782687670238146, -1.945250436495545, 0.1647651775102228, 1.9121665630911802, 3.6638499099403927, 5.164754790342985, 6.103043355031604, 6.8677813513873565, 6.965005681637647, 6.611197227009137, 5.847295340416811, 4.555867168448448, 3.0771872006168546, 1.1879192011417024, -0.683601736803605, -2.539815918262217, -4.252593901995337, -5.333415814920752, -6.398055876178903, -6.703803587267972, -6.873236176090811, -6.533644857743662, -5.371644161299936, -4.079345209245266, -2.3441457723913164, -0.6617548630372465, 1.1645232063300521, 3.0954031025607436, 4.51921312057924, 5.745613425591116, 6.6613147166039095, 6.970683928090725, 6.811214924035621, 6.184667074150685, 4.997001729136247, 3.4545251962609766, 2.014331975738382, -0.12953522129989198, -1.7737675246409679, -3.8282474104257695, -5.054519594490871, -6.259026154202375, -6.876614174548178, -6.97823588898236, -6.531926772028442, -5.771947731242485, -4.6406435531833985, -2.898031940085798, -1.2020514261151525, 0.883042420455767, 2.593157686243652, 4.164373003320689, 5.5119381713719395, 6.5364528580869825, 6.875050699654796, 7.032110743961113, 6.3796227437741475, 5.366334193724949, 4.017398446596225, 2.327766171543985, 0.4389545915776927, -1.2733362830995718, -3.154343467647415, -4.480384288863625, -5.996589319818966, -6.683417650613516, -6.839109836502964, -6.6393698620195085, -6.329203867811659, -4.91312476997316, -3.6530794841638734, -1.8494006792770215, 0.1854745327864709, 1.890151736403562, 3.68356607363846, 4.960709155619108, 6.017306810508794, 6.785382301762276, 6.93716095099998, 6.565888225101385, 5.784157068341427, 4.724343180611015, 2.8387059827710734, 0.9760392951931096, -0.5718043648128863, -2.444737335875845, -3.971199358503602, -5.6778755580023095, -6.449422588130703, -6.896472495466688, -6.867894249685492, -6.322516888970921, -5.589201682876104, -4.067225104912076, -2.4376404140542416, -0.4966551452685595, 1.2526671069726503, 3.182865637573312, 4.468634604949075, 5.9505181815199, 6.55537678318841, 7.065999825476022, 6.6940411256566605, 6.154145495274343, 5.0031934444291775, 3.511893482913412, 1.8008673425058555, 0.046908867444108236, -2.0221579360777895, -3.574707048196778, -5.101554017373044, -6.109309506453257, -6.895157868304873, -6.972921131092839, -6.3904883496997575, -5.701317368325574, -4.467430939203389, -3.0862433336592643, -1.3204796860471717, 0.8256314463909055, 2.4126139723740767, 3.872285901472841, 5.525667078916517, 6.379318861935199, 6.912836143801595, 6.860389991932631, 6.238112608985929, 5.361438378805475, 4.104844414058545, 2.3629727661524025, 0.5003353741116221, -1.2792044143638825, -3.0724513242595597, -4.58474342834262, -5.899332782475765, -6.592212295613441, -6.912241419901642, -6.722173679916454, -6.116351082488208, -5.073981295084054, -3.539465303318524, -1.8555539296462173, 0.008575849615465182, 1.9044877777438636, 3.5540954912325744, 5.059537773284552, 6.203092235418634, 6.979008776817679, 7.009530883575226, 6.626613163278794, 5.890941964324535, 4.624117005375534, 3.06693664728137, 1.3420174909053912, -0.6889555021303431, -2.4647872988662765, -4.083859655783492, -5.403420903970531, -6.645723905213323, -7.001004527276117, -6.762530525844468, -6.281105983524423, -5.4382397362466754, -4.080861219087851, -2.232331109051702, -0.428040455552545, 1.3513338514975197, 2.975943769854302, 4.674204519328637, 5.839129037148197, 6.562875480460043, 6.9473467889661835, 6.820546131134929, 6.2713639949738935, 5.044789880796382, 3.621499391007363, 1.8269249627914657, 0.0018331756818995917, -1.9112268224637254, -3.6056589970759516, -5.174984339393292, -6.188161011209452, -6.933217660662791, -6.8908835483177855, -6.530670791772867, -5.757379901242267, -4.617278524484199, -2.9917681113957255, -0.9593546600638793, 0.8137632468623225, 2.4987140787687383, 4.087032853598415, 5.511333319284111, 6.459696344479238, 6.778830597685048, 6.854036247963128, 6.388654991075114, 5.421479002233456, 4.171785197574203, 2.284006254349507, 0.5248062311594914, -1.2514877823012875, -2.999415808367125, -4.553138004674514, -5.980101800435072, -6.603439406072696, -6.990758321245495, -6.759945721818061, -6.079060770633445, -5.170517359704375, -3.53951093172707, -1.8811512605288119, 0.11152176847541445, 1.8441408743317738, 3.7719210530477043, 4.962023532986529, 6.170710953568477, 6.813813511249471, 7.00438103874268, 6.4565344159521265, 5.909866592061249, 4.574375075219002, 2.700723129535353, 1.2247362124318446, -0.6042951212410839, -2.552583632789624, -4.25723457949147, -5.40786275464807, -6.443604358266785, -7.099756310561835, -7.035942252126319, -6.367241803682279, -5.492387644890341, -4.00410152509567, -2.3136507342707042, -0.44131245906277283, 1.1774326173918266, 3.095164191057181, 4.625642652464231, 5.820465483686218, 6.875776432199982, 6.920069762619144, 6.746947167103708, 6.069707391321095, 4.913611600697877, 3.5901719302948107, 1.9630821526880555, -0.06807248618095511, -2.1118385089709184, -3.631144988510223, -5.1628603870883545, -6.4108838889194955, -6.880659104216175, -6.763922458879098, -6.491009144977551, -5.842013220605021, -4.516821922474088, -2.910586058495451, -1.16972334059396, 0.5645756245821001, 2.5265924298673776, 4.16120525665871, 5.309407914820752, 6.465009547686712, 7.0162998195036534, 7.000064666816503, 6.455270101282844, 5.379649761287628, 3.812241548321615, 2.2838352290827406, 0.5137150594797906, -1.2297339556731162, -3.1339944278188163, -4.698062664209033, -5.805287058777292, -6.715567000237287, -7.0106521746160055, -6.95498742504113, -6.202850471674413, -5.005106413876045, -3.3928589001987124, -1.8201201384416819, 0.048604291312600564, 1.888113812762942, 3.6557388697357562, 5.082099198472435, 6.118809811785117, 6.948213274002779, 6.976140144233078, 6.647611368458553, 5.793221695886383, 4.661106799078413, 2.886684731829798, 1.2377249422804644, -0.6316854824343662, -2.3883566362657103, -4.100626065167197, -5.535155920196114, -6.27280150689826, -6.848905548998674, -6.755400031104411, -6.304086950630031, -5.452495615879776, -4.000626844758727, -2.438703205277276, -0.5996593005006574, 1.1893034028233425, 2.9676667927190716, 4.7348374372125805, 6.014266122731354, 6.675435611376657, 7.095412134191984, 6.724372924927516, 6.055798241728067, 5.138255892376502, 3.498295075612522, 1.9181619476790486, 0.10982918941194257, -1.883833014667954, -3.689839748387529, -5.083497201293205, -6.210192826784453, -6.703033600256124, -6.865998869114015, -6.539221726396938, -5.727322516491393, -4.60584108877576, -2.736225957456129, -1.1318519116502832, 0.7149436549903677, 2.610347546065498, 4.1537976502482525, 5.565487248573956, 6.35263009800681, 6.852287804442432, 6.808968320131475, 6.463172963571483, 5.702702211792697, 4.127200591881776, 2.4293612449854094, 0.6964470667430527, -1.4560026218660196, -3.1137663645614024, -4.601407732291451, -5.761610593382237, -6.739813912412377, -7.015253717265132, -6.779677585736975, -5.915729090658679, -4.964127302956152, -3.4872092550826466, -1.901760972833123, 0.06277287789566496, 1.890572567747445, 3.6632170509440507, 5.096354010212528, 6.27637523613787, 6.81186090193122, 6.990255921039723, 6.6574158060257576, 5.826162750675093, 4.457225290897806, 2.9763387107050514, 1.2324708393086037, -0.9618723155143225, -2.5730832765528695, -4.442131047651845, -5.78838684133603, -6.360420972337321, -6.910881639337704, -6.871044922732683, -6.291487123731346, -5.46163323778077, -3.9922148478252804, -2.371908459536586, -0.6443875042031563, 1.1953885251135459, 3.207803342291209, 4.589684723391599, 5.93705227172473, 6.80822817321231, 6.901242055304699, 6.774168192102509, 6.141455049849667, 5.005334651965482, 3.5629701740922997, 1.8328960692997933, -0.09603272054494437, -1.9546865508014988, -3.5832886287874053, -5.122879030021338, -6.063904107311004, -6.959761557270807, -6.8663503685536815, -6.628730616249347, -5.743957623581615, -4.372243622873429, -2.892018216846878, -1.1353374623066876, 0.7531422422407803, 2.4471537576250193, 4.376047795297016, 5.472644858780017, 6.496828271235575, 6.953671673803907, 6.95915633538711, 6.452315272037373, 5.385957987528502, 3.920934267218054, 2.4653237743809737, 0.33119280478110413, -1.3017939907282272, -3.3507778781834814, -4.784327300675758, -5.630823680873957, -6.851952682194575, -6.975831523163532, -6.858404645689841, -6.003188504751856, -5.011682188181565, -3.2937728038810477, -1.873759811723461, -0.043537157474689656, 1.926554103666351, 3.510400540440924, 5.041243358627887, 6.141263372301794, 6.9727596367203635, 6.86877321432459, 6.741744296516913, 5.839159095493587, 4.440157707076015, 2.9268012261521554, 1.1193822282727504, -0.6938914869955475, -2.6487582351000345, -4.209645014282314, -5.426380846910115, -6.517518754345549, -6.9421830195033305, -6.782009259292757, -6.351347918023381, -5.399761990415026, -4.139286306121317, -2.291414187463802, -0.45881144834890003, 1.4241718896764, 3.1927585826207077, 4.7985924992695415, 5.888694048517948, 6.72549688627879, 6.993820984687032, 6.871847248328182, 6.0564027729221275, 5.122482373973668, 3.561864697195202, 1.939572899383816, -0.14968070473254547, -1.8774421828443721, -3.5499877590820152, -5.012430741085613, -6.157256261204006, -6.81756638569236, -7.054611458814772, -6.584101355295277, -5.855527315705672, -4.475290373813091, -3.0493413626629, -1.1631718299094742, 0.8128145749837727, 2.5488580338213573, 4.240382757190154, 5.5759578804220045, 6.484012327218305, 6.842024207889052, 6.961075084256267, 6.363354092089181, 5.341183697626408, 3.885971646254457, 2.3441603581746913, 0.4794157257817858, -1.4611519618845594, -3.1088106103748667, -4.588505243131676, -5.803543448434197, -6.792813340452173, -7.054639806524494, -6.836699079271902, -6.079701413056622, -5.0432979052430165, -3.370020665783064, -1.6869192349956137, 0.09863712693558037, 1.8803217149076838, 3.7555507723552557, 5.133757645176805, 6.273823605423665, 6.870315145564686, 7.0725922301791995, 6.670942742648636, 5.8025264053089245, 4.428712558832336, 2.902549067328695, 0.9365143997010053, -0.7414332377548383, -2.458989906687914, -4.079264069734819, -5.493546242871156, -6.396057848264557, -7.044569304454577, -7.019964655458347, -6.525077965982237, -5.4096244198584404, -4.078284823518689, -2.402051761682982, -0.43424995017602247, 1.3397298220918323, 3.1592635405416765, 4.629411600403768, 5.983958987865031, 6.595768321608455, 6.811950433535478, 6.769776439218641, 6.046918512312958, 4.876055749998504, 3.561048999329316, 1.8107256336299917, -0.05590924754696586, -1.9751298833566355, -3.840693096321857, -5.056788829786487, -6.21380171324048, -6.78137583523223, -6.90593250633202, -6.562140441305139, -5.780601495764904, -4.5728795350311335, -2.979519090660723, -1.1579252221125833, 0.7875917028490373, 2.683219150165022, 4.084788821495144, 5.484226907475865, 6.476319518851419, 6.7972900166737125, 6.827991191807985, 6.499795460100018, 5.4853558528031225, 4.004039273857034, 2.255899741226236, 0.5207124857032264, -1.4137682518759025, -3.0606773782408903, -4.545209459357253, -5.879183061158845, -6.634742405754096, -6.978799164888911, -6.753384483754853, -6.108686019380212, -4.894449188789544, -3.6782977840888167, -1.8353489139601138, 0.2231444346168061, 2.1731000404092304, 3.6301753375500416, 5.104662732244771, 6.240310198427414, 6.794975733057566, 6.959191293072246, 6.3519277865956, 5.633166301790029, 4.590407834957677, 2.9997759320039488, 1.1335895409574854, -0.8521379682409201, -2.495673876471525, -4.382805320401467, -5.484229570041828, -6.574593431009649, -7.001452414244331, -6.962529738716943, -6.2086996966762396, -5.635028874885584, -3.8321792163888624, -2.16354749005475, -0.4281317267168372, 1.5274711634142946, 3.076442373669898, 4.755745918001021, 5.919849207398404, 6.628057503436307, 6.991633806787172, 6.908421792052824, 6.220492415391321, 4.777118215107641, 3.4216369142468896, 1.6303257738030235, -0.027957578969879174, -2.0703987292363446, -3.48185920010491, -5.0658089827087, -6.0604126124149005, -6.889867552195236, -6.90197156053547, -6.511203168738107, -5.762582163280468, -4.797912493145824, -3.0659288704157386, -1.1809613680426438, 0.754194487468695, 2.38064417452875, 4.241233432663527, 5.370475895847688, 6.499571346250366, 7.126961274018571, 6.841975885606205, 6.290039630548527, 5.1529027268805105, 3.8868873296276742, 2.291372539034916, 0.535667865375287, -1.3621713752142521, -3.1232707945325924, -4.793460331910856, -5.887302448967288, -6.801836789306525, -7.204071776511749, -6.817186285144736, -6.190078238792579, -4.960097772972554, -3.4869508863926115, -1.8647257851731844, 0.009114641615723187, 2.1052907899947706, 3.828603638227062, 5.045237999981962, 6.122161818180887, 6.672683145423556, 6.900972833354728, 6.789545247593849, 5.772096047384878, 4.552820699556835, 2.992025037768848, 1.045424821283504, -0.8586275044195363, -2.4509470716925033, -4.084095546415075, -5.603415640928172, -6.278356745686939, -6.977768444140768, -6.838199838682078, -6.308049811791263, -5.367198903821823, -4.112233494736355, -2.3536535987854568, -0.7640840008246349, 1.3824675984034875, 3.18733656284196, 4.70024818473584, 6.037651221566897, 6.741400456967178, 6.960488659554974, 6.769122465308438, 6.067424981259334, 4.923219355834218, 3.532491607373799, 1.7490539039923352, -0.10603489131616774, -1.9696685199744552, -3.783531780247026, -5.156495906766384, -6.263782080082921, -6.786334919077743, -7.1133711546576865, -6.708207349726116, -5.730393797887605, -4.505071905296523, -2.7687025791399837, -1.0956355550714139, 0.8588782931447179, 2.792374802679752, 4.183028367775964, 5.467645591585261, 6.568111675882499, 6.847606825936102, 7.0955826802622965, 6.4990816758241365, 5.252490706850245, 3.8077214136301496, 2.485621661730861, 0.4099813240283932, -1.423999342075533, -3.275978797743917, -4.661126830024017, -5.981351919264161, -6.772006402734896, -6.897138085610628, -6.823728874270983, -6.0960380117005615, -5.079754280700456, -3.54061399555857, -1.8091896803534215, 0.2539260064002329, 2.0425316432661864, 3.794220753285764, 5.222871430892771, 6.335195603440672, 6.693997508199787, 7.005917458869861, 6.583753493977916, 5.857288042236875, 4.414872756418181, 2.9594695538551807, 1.1343319299655834, -0.646028700732016, -2.4568947873503064, -4.425226020831745, -5.483987035671561, -6.3625300305929775, -7.157320702211637, -7.0104904879331835, -6.24085782192421, -5.428837200320837, -3.932298554817216, -2.317791482586928, -0.37308170343538566, 1.2504726736188314, 3.096917566328483, 4.6118997768045515, 5.978910164841998, 6.647721916188275, 6.913839520798023, 6.965790044979196, 6.19730559933844, 5.079038526432565, 3.392933228664731, 1.7142881946838777, -0.25266814411261845, -1.9734598073195984, -3.6064705253968024, -5.08768501652659, -6.302030569965541, -6.821815184561632, -6.989454118122299, -6.556733461645302, -5.6988757365210265, -4.62662778095263, -3.19080287659877, -1.2666407949331984, 0.8473085465442838, 2.6351089864424875, 4.240393280035485, 5.445071410356446, 6.440934856880608, 6.929748639168019, 6.951481819541506, 6.347510915718236, 5.329124419011038, 4.1418438359966405, 2.2730625987490947, 0.621618632325717, -1.5065062593867764, -3.2121540054365716, -4.790884096121906, -5.758812070207593, -6.688455286875836, -6.797653746306336, -6.684051393887998, -6.059998216198312, -4.908306662879323, -3.4276870566243147, -1.8164324864284733, -0.02282521432119236, 2.1252483146993115, 3.7781225115651464, 5.115016744125392, 6.198599345610937, 6.7434909802266, 7.0490044761292285, 6.689374918153389, 5.7474470241619375, 4.357213693935004, 2.8923337902538617, 1.0825804230121188, -0.7341222062810944, -2.607148825731534, -4.307378484531885, -5.696739714089053, -6.555570183879953, -6.988009857262813, -6.854487707056806, -6.338258020623583, -5.393473329673587, -4.001176473953961, -2.3314260771136244, -0.4927869267385885, 1.5182182432825007, 3.210826539913292, 4.55011716355724, 5.993891349219582, 6.789466280678294, 7.051080133786897, 6.80842869353072, 6.0633970500434975, 5.001560818719319, 3.3870846788763993, 1.6704823378844735, -0.010914578119885943, -1.9796929342143395, -3.840260390203466, -5.219598036703568, -6.163486534925318, -6.896727455806738, -7.101721571393777, -6.537606341234851, -5.733365964655529 ]
The given time series has a cyclic component and a trend component added together. What is the most likely type of the trend component?
[ "Log", "Exponential", "Linear" ]
Exponential
multiple_choice
null
null
10
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend", "Sine Wave", "Additive Composition" ]
Despite having a cyclic component, check the general trend of the time series.
Pattern Recognition
Trend Recognition
496
[ 0.9829958786240562, 1.3950539099243209, 1.8133972130617122, 2.3518058577445276, 2.5722016120680844, 2.8176689320542505, 2.7883566471862227, 2.885635761464912, 2.8089600999897852, 2.760720856937782, 2.076372836558352, 1.84810885231895, 1.321604659280092, 0.9541755019482354, 0.5428001813731919, 0.21149825007355105, -0.29661163753503395, -0.4644290594828057, -0.5992789266495133, -0.907287592687474, -0.943075933566086, -0.7590785966382293, -0.47755921698981535, -0.05148618201711387, 0.40273874859234204, 0.6728727179304049, 1.405133563992613, 1.8829912863239149, 2.0918687680490176, 2.333572432301443, 2.8271062528752537, 2.9166511936542374, 2.875741257375501, 3.082748304276393, 2.675911080741993, 2.5892023772845096, 2.102982081802523, 1.8286722289866295, 1.2315597622629706, 0.933780638540538, 0.34097102755703323, 0.17265583726228745, -0.2882855612369454, -0.6945714188364774, -0.7194863532340979, -0.7388588523131288, -0.789327050377252, -0.3483214933559838, -0.10105131424869679, 0.03568744082921951, 0.6686887467723102, 0.9560698117627645, 1.500377017881917, 1.9018903591729373, 2.3180674397852217, 2.6051617075653115, 3.0089339705895326, 3.1002708035699014, 3.0823621100497385, 2.8790106235109305, 2.7882490055411635, 2.4444416922413543, 2.0720672672443534, 1.6974177757142774, 1.2251846450704746, 0.8878249921724733, 0.4044066948688656, 0.08328179905601159, -0.39075986269896873, -0.35724687877578715, -0.6536405929453672, -0.49462063233112213, -0.42144052130912335, -0.2240319093530517, 0.0687569797615995, 0.6604496572933068, 1.066654818843952, 1.3666308329360184, 1.8199372189631786, 2.1427908151203243, 2.4834951415954354, 2.831235714217651, 3.0521964845555427, 3.221754162612362, 3.3078423523466376, 2.75662828023288, 2.6025487355772947, 2.443343306560996, 1.8528141204848048, 1.6906757509153365, 1.2065836981210734, 0.7447178166588357, 0.1306930417661748, -0.17764451133228623, -0.22233665168167327, -0.6850888888672589, -0.5124906325768607, -0.5540777148200401, -0.43866822912527675, -0.0703282743033943, 0.5727638095774295, 0.7459328228595219, 1.2345138904113127, 1.5932861324434404, 2.1695573818030582, 2.5938230980609327, 2.801368352869, 2.9818260413577087, 3.2390561492335, 3.3230514069642485, 3.2106507862455884, 2.937499180366239, 2.7700564605956597, 2.32000987216879, 2.077451343865378, 1.4886968302755659, 0.878423243686148, 0.6830010625550019, 0.24945994313156694, -0.1136669805845505, -0.31475676830917054, -0.556476804676413, -0.5256359459326182, -0.39127419780058664, -0.04747070547606495, 0.24341140202164988, 0.4327501869058218, 0.9709173339352525, 1.4649869500301176, 1.9918074909561099, 2.087000578686509, 2.5728535158813313, 2.949000777031362, 2.979506226922384, 3.4577949890498973, 3.347788322612297, 3.273676477422225, 2.920305643358945, 2.6978084601145946, 2.314148387721012, 1.821173225344274, 1.5121287548699773, 1.0086619629017224, 0.5696236409817443, 0.16783316634718062, -0.15402246536501157, -0.2586497767430331, -0.29237814789352795, -0.3043015834501076, -0.0032974575314556887, 0.06282370947742719, 0.5092160400684744, 0.7179298057564337, 1.2235058871997906, 1.6032245021037288, 2.1433977269426756, 2.7349791009149564, 2.8494884874402424, 3.3728881067110206, 3.353363585629866, 3.338181891520983, 3.393196471124124, 3.225746269978116, 2.9876889499363437, 2.4991569855981903, 2.2260311586429204, 1.6420051051596576, 1.2955042970465416, 0.831935129201525, 0.4273306910197509, 0.2629363188667859, 0.08600819619399533, -0.159445035965303, -0.31806658815617944, -0.14949462863107724, 0.1759874641256401, 0.41044175239531966, 0.9417368624604088, 0.9968011421342521, 1.4903049849349355, 2.1283872197146976, 2.508852526991558, 2.775396245803889, 3.123591194293032, 3.4437853191224588, 3.5784997532125913, 3.6165779408416507, 3.64900532098433, 3.4582820487726513, 2.8722011562774994, 2.6655690757460877, 2.130386737408548, 1.8854642857069066, 1.2379572129432206, 0.746922895110675, 0.6046886915863134, 0.33905776232265805, -0.07415032494272947, 0.01522732285602564, -0.17340955093698465, -0.008853182691463915, 0.0993061063230419, 0.701300592582153, 1.038394626019821, 1.3957662931955186, 1.868015037930865, 2.374716540988235, 2.7941300610051307, 3.189782437699194, 3.3229429816481004, 3.6817865996171695, 3.7070323783404686, 3.5222398691508903, 3.7237029460796895, 3.194463943534398, 2.868482594729056, 2.4908212690364153, 2.0710434499577053, 1.5997643132720998, 1.2002861378570613, 0.9105230919826595, 0.5211209859135114, 0.15149523689084965, 0.15033746022856725, 0.1632907295480535, 0.07188671422068423, 0.2605726289000467, 0.5047952218923383, 0.8042375815148581, 1.091885770129974, 1.731110847545699, 2.515398603529123, 2.6414298775433642, 2.9556486236992505, 3.4713882940088276, 3.638470466373321, 3.865483558835804, 3.8834347217981806, 3.7447056791006004, 3.6016725190836927, 3.4654198772734817, 2.944117810770252, 2.692092741770998, 2.1531368527715746, 1.7430451442102388, 1.2948934410290285, 0.8182789522106613, 0.6687422641016973, 0.36434769656683125, 0.1520643481525152, 0.069452401429077, 0.38426895511780346, 0.36309576575477026, 0.7416283556854457, 1.0805350774460913, 1.7233437778578293, 2.143600724002195, 2.5858192887528273, 3.0125742240026563, 3.382742172054185, 3.8356804246533156, 3.745847044029595, 4.113723342988047, 3.9695404239860714, 4.03632314046315, 3.6945084304562164, 3.4285967847017726, 2.9867825158805874, 2.425776529829736, 2.081750718698668, 1.6388574908021076, 1.2830227390948388, 0.934992422926011, 0.7006016017747936, 0.475696594396893, 0.3365505028578355, 0.2986564420452842, 0.6144941143881698, 0.6717371454248793, 1.1722143942109573, 1.6370965097106775, 2.0224129030553653, 2.3598193813238773, 2.8798827693500257, 3.313608721327042, 3.657989567036796, 3.961784032478443, 4.177857047872681, 4.129489976933373, 4.1747135144768315, 4.002215774706408, 3.785117995378272, 3.3134052770794957, 2.972138743798633, 2.4687219394251443, 2.046857264662161, 1.5813797994969803, 1.1667996837800114, 1.062275158934997, 0.7270865597643281, 0.44494473166536497, 0.5049944703225728, 0.5080140019441943, 0.8065658851508734, 1.0636536245535817, 1.4699791526315409, 1.6930689208765266, 2.173106685930445, 2.7870279529560653, 3.319063671406745, 3.6403659092839535, 3.8770388484831217, 4.094583722598316, 4.436252314696164, 4.234676266067879, 4.26121818271593, 3.9144685869567013, 3.715355860102372, 3.4588528093297306, 2.8208609381464096, 2.4282782857729734, 2.1719035379703717, 1.7787326058527875, 1.3911947090759493, 1.028919049649926, 0.6167380582345339, 0.6240408862327678, 0.7670702313480631, 0.7429719247847891, 0.9770878272716634, 1.5307075203015725, 1.7098936676565653, 2.406442933323273, 2.778380739662, 3.22820034379191, 3.593438286148487, 4.203075649225538, 4.2946273083174535, 4.405487085309003, 4.5067288691546725, 4.526753299635218, 4.385735491248257, 4.154536718957327, 3.836171470727622, 3.455629237923656, 2.808877400008468, 2.5676479539922203, 2.1998225479344176, 1.6938597308830772, 1.37164265546603, 1.1023421819285733, 0.9400637813868717, 0.9438731762231649, 0.9621698593196903, 1.1352582073689232, 1.3772322148641831, 1.6830485495135574, 2.0213096602390346, 2.608490346388485, 3.056338859931669, 3.710942267065151, 4.001138429885497, 4.270956630270466, 4.560928897443866, 4.708695921584677, 4.8165122737391215, 4.6086201962890465, 4.543628920417614, 4.124698300664425, 3.825407054965022, 3.342499821779213, 2.863629056719096, 2.7535949719744037, 2.162567934562603, 1.7591500748787834, 1.3871296959563026, 1.3355112430410259, 1.1513040653793964, 1.1001332969522382, 1.108990093634325, 1.5632336328796754, 1.7429600119298212, 2.06772766523786, 2.548560745288734, 3.1993655085586874, 3.598907070460011, 3.8964987955610133, 4.576362040416586, 4.6358490180262635, 4.68208611208252, 4.942946731634675, 4.881108062118416, 4.879645288693811, 4.597216598823792, 4.22643742093166, 3.964039684200814, 3.341422389217326, 3.064060821245966, 2.835939969358699, 2.3073640846536247, 1.7265263956368382, 1.7208930385168797, 1.4125609336923524, 1.2677975399074264, 1.384166149415204, 1.6425435346447557, 1.7339122762805304, 1.976854430933231, 2.449227831167131, 2.994143552998527, 3.3570024241503327, 3.923068690365078, 4.283890940867587, 4.559040343938739, 5.000086876266931, 5.1681769291353, 5.214606856054371, 4.956915220540786, 4.860019407109745, 4.789332452948446, 4.357708357358164, 4.06073407799019, 3.4550001701570987, 2.997715132440953, 2.620622896695086, 2.284846007055257, 2.011750344762153, 1.7492689222537172, 1.651482121874645, 1.6306030594613705, 1.6070116695554546, 1.9911404457263875, 2.1022955423149807, 2.434587567057716, 2.990752821121493, 3.3939220292957133, 4.0158625327705035, 4.297819378228831, 4.650191941772663, 5.004753981323647, 5.310299417339556, 5.446966952984334, 5.328657415712583, 5.35532085049045, 5.097709540859663, 4.836544858265066, 4.464397157717078, 4.10996784313302, 3.6989996129942293, 3.1902342809056785, 2.9168996690785693, 2.555337091094751, 2.175305591696886, 2.0195723041499076, 1.7382432308780864, 1.8640665368507106, 1.8682743556933423, 2.2392480279966316, 2.5257759807936906, 2.9653292244168377, 3.3629729536449893, 3.861948363051955, 4.383006213911938, 4.685553680148119, 5.141302326317055, 5.465533304485972, 5.578904672554256, 5.596532970277623, 5.691078605513714, 5.633724102832334, 5.3577792443878245, 4.927146710486327, 4.55673919514071, 4.121409914463977, 3.591013347357088, 3.4856007632349866, 2.9211188696267425, 2.6549013896438565, 2.306106664073221, 2.0321593155053606, 2.191610110317013, 2.3470013838846087, 2.272536366748998, 2.4920315222125535, 3.031466520978515, 3.6366017214116124, 3.895176481735596, 4.276891015686879, 4.939139201564374, 5.194998590853015, 5.503791789888733, 5.866333822259535, 6.05937293067382, 5.847137761275319, 5.985661199157906, 5.653403125755792, 5.391648453926009, 5.216766231848939, 4.7140159212125585, 4.21230499669639, 3.9449265448544035, 3.4903368366130594, 3.063769348150158, 2.704687452184618, 2.4945228774705255, 2.2864852121576416, 2.6159938738049484, 2.580379361043417, 2.6744688839960578, 3.2988969453697825, 3.456678774861815, 3.9891977202267483, 4.328827290722559, 4.840141295846205, 5.2796769281843146, 5.72265826900684, 6.096279424877043, 6.160813326598109, 6.297087831608194, 6.454435487715607, 6.245523494565171, 5.977382414070815, 5.78380146284376, 5.2780318170501666, 4.836665514722865, 4.469386737647391, 4.013417710107364, 3.557468965076489, 3.2879209005857226, 2.8314619391563265, 2.7669232274044937, 2.619925191852724, 2.6903105311109803, 2.8010844750638166, 3.212103491044802, 3.5159747898500786, 4.021432350486711, 4.482222597604499, 5.037468925217026, 5.294333085606744, 5.81007414258923, 6.119015744215812, 6.458637270558281, 6.6220016207974775, 6.631380290507244, 6.61249240803711, 6.325033734495697, 6.266659367334818, 5.688565039612236, 5.532351072776525, 4.913571648312699, 4.6828153178602525, 4.230134498114442, 3.7421416943024317, 3.2949406119358353, 3.3025910305007877, 2.9914672239114917, 3.2045828522419666, 3.077734437390921, 3.268292885991919, 3.681143603964531, 3.9407613451277808, 4.498936815290875, 4.810626121830193, 5.480898559104413, 5.821701787296893, 6.5070967843242045, 6.644883536939982, 6.895362714607263, 7.009392509609216, 6.847454668278175, 6.96051053816872, 6.523962185845881, 6.67501199189045, 5.910131373772527, 5.54840706650307, 5.31010532196065, 4.8896874307119615, 4.5368010939156305, 4.179171984029413, 3.665951780809082, 3.3750660280601457, 3.5214825885148593, 3.4117088402533113, 3.612406519844901, 3.8988074678131035, 4.376675605656673, 4.7002743684046395, 5.045209381068122, 5.471536010450475, 5.910277398718572, 6.694027260058614, 6.800383122740876, 7.182008708658421, 7.443591406751038, 7.433338401098892, 7.49240947796238, 7.2325525987460075, 7.155542734701976, 6.844793401150353, 6.247414829881667, 5.9003159099616385, 5.526951278317357, 5.084492570618761, 4.658651796807657, 4.407934844534003, 4.2391610303235066, 3.7641703876742727, 3.8222382167903115, 3.824102359845377, 4.293549541049336, 4.461882203646289, 4.787012769951163, 5.209454807541251, 5.570072585330922, 6.216397127825413, 6.778698030545227, 7.117557110965146, 7.321537097852743, 7.545246362747126, 7.861069817667471, 7.756547049079628, 7.742202746106035, 7.522501497819775, 7.378154655802624, 6.866607667990657, 6.846120940703431, 6.0879676374409355, 5.600437029130283, 5.541387810972503, 4.877552143136584, 4.671981494504985, 4.605393357677409, 4.271396370795282, 4.230113984925439, 4.412257045114455, 4.6160907788775205, 5.29472812043805, 5.481359060638563, 5.87320074208664, 6.375795446749112, 6.707578200075901, 7.26324574611935, 7.621348914281408, 8.014897234690315, 8.126999365012795, 8.231004558807527, 8.148082500052372, 8.437314201031105, 8.020041118086569, 7.6040796936169865, 7.269477177758806, 6.8145646273556055, 6.66820423258546, 6.040126556557539, 5.568344865120736, 5.412651173544475, 4.733512769661358, 4.86900828637171, 4.7225872093336925, 4.817617420499122, 5.081098499405538, 5.194800587669215, 5.704745418925988, 5.978282449236672, 6.399448345443024, 6.941322549668465, 7.5541464347063085, 7.968577098254274, 8.23260536697289, 8.555942754057437, 8.902408916950183, 8.908498797078794, 8.701218853714028, 8.429586169391031, 8.443024618723857, 8.001084852456687, 7.4643620503393615, 7.244791606861619, 6.840286192595344, 6.275967060514778, 6.15614365869186, 5.684930087438916, 5.504179336315884, 5.23179095770566, 5.3460580500615045, 5.394457166068439, 5.866002651138691, 5.9030325111820225, 6.319639525040467, 6.651171825192242, 7.396537988449342, 7.6736180441207775, 8.037040595656176, 8.650514353274446, 8.988941116317124, 9.095754297477962, 9.176555264713187, 9.319306924385033, 9.19575325640537, 9.021296992416184, 8.828777552573563, 8.49242969968597, 8.026707802087836, 7.4699001959144935, 6.94786309697821, 6.7516437051970435, 6.198700767715747, 6.05855239721212, 5.978075315300459, 5.901702054271348, 5.896074370940924, 6.068765074627657, 6.3575302560827565, 6.514196595405041, 6.959382523766376, 7.57139183971856, 8.030962500355834, 8.435440892363788, 9.003677656847493, 9.430008820810587, 9.519976839925697, 9.890750251331271, 9.858629185721316, 9.701664852600144, 9.773971058481813, 9.6349082166197, 9.161313523374702, 8.969494975635776, 8.409528566742411, 8.068676620112933, 7.6504073757226285, 7.2004191051858015, 7.086570763928778, 6.7799502655049215, 6.324386880499032, 6.264691966490298, 6.6023816940117666, 6.5268879404042215, 7.034162596865691, 7.517352859527722, 7.899028836892015, 8.260272687062416, 8.917849404898238, 9.23903284494136, 9.689130698194203, 10.00457472627194, 10.361528936540271, 10.355708564410675, 10.50741872663552, 10.519774689514927, 10.500944887118402, 10.105097877430437, 9.492474720755087, 9.366510632128723, 8.83256993191261, 8.533159717673739, 7.9101066987544275, 7.597418785074855, 7.379426180605225, 7.189040926002023, 7.193799423898944, 7.2058218717473945, 7.1624813625043, 7.636859548268032, 7.849822571384749, 8.126295540973004, 8.460381877884267, 9.293867606431679, 9.587324307045606, 10.026436003044715, 10.565839134094874, 10.690173185618583, 10.99530181889296, 11.101497482541594, 11.169951669290606, 11.130753735062557, 10.959448951672726, 10.644810914619852, 10.359600890636504, 9.745915602525063, 9.42696980810339, 8.921574397392241, 8.56942852332606, 8.237529919072358, 7.859437825012617, 7.8682684992023155, 7.8098131303959955, 7.867606655308801, 8.009838784223703, 8.101139444633686, 8.692192030347588, 9.164076785457526, 9.746622555180613, 10.099833858420958, 10.803468600496698, 10.973293044971744, 11.366082510375241, 11.610762971160858, 11.770433668733984, 11.960237079596986, 11.997863198602637, 11.785339598930948, 11.518416697099447, 11.140010423902565, 10.791372641873068, 10.376089621602029, 9.976293960860135, 9.55265600168789, 9.084843331050344, 9.020033043261213, 8.866172091313622, 8.552988765678242, 8.566698619380212, 8.729633719007749, 8.813472124207971, 9.25464794320163, 9.54890842975416, 10.010933564198444, 10.40226975157739, 10.97087182553812, 11.498134057613514, 12.064064217860324, 12.208258641465061, 12.434374470252557, 12.679283673130836, 12.790336725688611, 12.738412631102129, 12.279343559678424, 12.162140979739249, 11.990619575057792, 11.287370314382548, 11.01179062370164, 10.596903675654147, 10.039363601796708, 9.890558111032476, 9.634219016453109, 9.349012957648174, 9.220733554094013, 9.525985451148355, 9.434816418420423, 9.95314250189977, 10.195720644806178, 10.562338978586151, 11.184700174927722, 11.509419260443481, 12.01649126306053, 12.538430335400568, 12.791167248970506, 13.19310608453178, 13.26673635004144, 13.55299097100854, 13.417116147957536, 13.402356213608373, 13.50430045552431, 12.779817803989205, 12.655755963512002, 12.07526389450308, 11.744964446968298, 11.353531821776297, 10.957282957835227, 10.596996825705087, 10.1609264104779, 10.314134445542063, 10.210039008089602, 10.229544189945194, 10.446970742648386, 10.67003782474867, 11.202602402819837, 11.587201171731525, 12.082005106645013, 12.681186198624602, 13.052632682143116, 13.53707926768082, 13.837355854952, 14.174188789282267, 14.251886300048058, 14.261575593150521, 14.31180304159703, 14.15585020044903, 13.888799543270938, 13.64891455997458, 13.368189416875122, 12.678211410927636, 12.473026766915144, 12.167444696931529, 11.73629109814391, 11.409149368902577, 11.238532608516698, 11.195269535025059, 10.841279108995842, 11.091784107077952, 11.557786601653389, 11.887737907111948, 12.432352273770098, 12.755494713836894, 13.185252801411469, 13.598362747040662, 14.16535094848467, 14.543423413432015, 14.980707424994689, 15.25639600064959, 15.210605276566096, 15.429741996536764, 15.009049018509454, 15.199191533298118, 14.704889205585259, 14.55059712605614, 13.976552739960917, 13.65301907293161, 13.168422112604397, 12.91349663803019, 12.430542944170913, 12.141001991514935, 12.208818715815424, 12.062281215898453, 12.365351276035774, 12.431811139716206, 12.787868258589521, 13.170419351098587, 13.442689557809018, 13.970246981992414, 14.500690394064602, 14.875662494950106, 15.339971012954145, 15.789823030379775, 16.20609633901267, 16.294449025232417, 16.414560157767713, 16.42836851857469, 16.352940126212633, 16.082176737201713, 15.678978075322933, 15.306480561065873, 14.643060609166769, 14.434754424294278, 14.178754995005239, 13.671927398671984, 13.398075016148125, 13.381256736750167, 13.08223201511195, 13.122045645649381, 13.24920501347227, 13.428486259136994, 13.819949800178465, 14.02188061474466, 15.003761775238386, 15.229942474930093, 15.764814959297404, 16.020926311931426, 16.57202598470319, 17.02234248334867, 17.145753139650683, 17.53123291842108, 17.514136019054344, 17.399110486425258, 17.268891039341355, 16.9594783968187, 16.489404773243763, 16.323975781217005, 15.758351843485098, 15.48866477985625, 15.218204635660745, 14.772108698268786, 14.550292976276593, 14.274641069471295, 14.186477911569352, 14.497960546500714, 14.658586120223156, 14.9723937073935, 15.431383738583904, 15.595986148939444, 16.16730129835066, 16.75000425386943, 17.331183729785067, 17.709491742404396, 17.910927870788086, 18.49602729085131, 18.644911750017805, 18.70684151197688, 18.640359214363684, 18.74608428996586, 18.67029765220367, 18.089451095886414, 17.772217558492613, 17.414556089951336, 16.848482104708385, 16.562190116033083, 16.267364494263834, 16.105118947581847, 15.684143020076075, 15.640731046194489, 15.525159448170633, 15.791946729516239, 15.908688294069986, 16.333525315014548, 16.57003405823978, 16.94376057693143, 17.52097133311304, 18.260728364049232, 18.580365242208167, 19.032481009010638, 19.452650960847862, 19.72241655511874, 19.95549269955851, 20.001250720747816, 20.274777897448256, 19.953763317755897, 19.678139403112716, 19.357209514550792, 18.951648158986814, 18.48081943830802, 18.17930689068543, 17.602963467266274, 17.283405593556097, 17.109766809343427, 17.014711977458393, 16.84073317990372, 17.01189519316915, 16.981006338080356, 17.357045485896503, 17.58508751804979, 18.192090407750857, 18.823806087528812 ]
You are given two time series which both have trend components. Do they have the same type of trend?
[ "No, time series 1 has exponential trend and time series 2 has log trend", "No, time series 1 has linear trend and time series 2 has exponential trend", "Yes, they both have exponential trend" ]
Yes, they both have exponential trend
multiple_choice
[ 1.0076771550859853, 1.254552743429204, 1.5971726360868217, 1.7695778491259349, 1.952238241499743, 2.2236858491186844, 2.2426194732510583, 2.5683293591021426, 2.6320852166460713, 2.768792159733201, 2.6959756531403847, 2.59289905533882, 2.5998216579411952, 2.2709546458410714, 1.992875400582239, 1.6093010282393423, 1.5971793688584954, 1.30472482345236, 1.14367300308755, 0.6371686558600119, 0.5155180840751847, -0.07306942714576176, -0.19367791442813145, -0.2307615612893185, -0.3655713453517608, -0.7207647094604538, -0.7058053228434248, -0.6423222625882075, -0.625112867082364, -0.4787991909204295, -0.31180577871316717, -0.3561304426383707, 0.030081471028399115, 0.1603765410736655, 0.537733851376816, 0.7462785669162426, 1.197578856387531, 1.4446893098594156, 1.5733988157886882, 1.7721705682902982, 2.3000818042784523, 2.317694927917152, 2.495035384753356, 2.7510695537056984, 2.6472663645891523, 2.791131920136674, 2.742987904744879, 2.652177607952229, 2.6508611178768597, 2.404716504400525, 2.2439361628075964, 1.876635435075843, 1.55998530820603, 1.4505294809767633, 0.996076670434358, 0.7732760954548145, 0.5212941403178092, 0.13892858332402824, -0.09679414198705487, -0.24906366312489617, -0.30876069664035094, -0.46433753412994505, -0.7009878561242928, -0.38591899015688313, -0.5070387389159993, -0.5006009868147783, -0.33862782657868684, -0.16872923504013598, 0.035716467598311194, 0.43895723876377246, 0.8339201792682036, 0.8350266048397853, 1.1379121094851636, 1.4703297883551236, 1.6267035242292929, 2.0828552674655936, 2.287078328161753, 2.4870980837856416, 2.449838282007458, 2.5262632882881877, 2.783818561981229, 2.903637089025583, 2.6249013400694556, 2.8069067272343537, 2.5538168917077315, 2.324272057259133, 2.2002010684363467, 1.815159513843977, 1.4200760394145604, 1.5077952934839887, 1.088642549556151, 0.7298406883098065, 0.46374134835373265, 0.18329382704557107, -0.00749814342400746, -0.1815587429829788, -0.25864270070491163, -0.5081779811440199, -0.6062150999011202, -0.5646693429701116, -0.22358737532041328, -0.3627573026262622, -0.1991777727066847, -0.08178818054685194, 0.33786990355847946, 0.5026979196406853, 0.5885417305547682, 0.9995840396301486, 1.2428354105242423, 1.6178188002310987, 1.9600385378347434, 2.0016686490259215, 2.3953828345334145, 2.479055840437692, 2.860447917462217, 2.92841633072532, 2.696292931247583, 2.794791001710896, 2.7336330846822086, 2.7720202654398207, 2.6709243432958587, 2.539222689902799, 2.217078990338757, 1.9639899944371666, 1.747930273682114, 1.7468892220736534, 0.9866569680694028, 0.6594644924230336, 0.5149311029716251, 0.2383220074371336, 0.006494110712872203, -0.1153347699869038, -0.3839820181395969, -0.43307173071454774, -0.46000749267821467, -0.4632935411519908, -0.4043018307914201, -0.3088640859363611, -0.23096236623881475, 0.011048271466348434, 0.26025253109919594, 0.6116531257513093, 0.6453440381608391, 1.0881981069073763, 1.4002063270027094, 1.6967641171155805, 1.9837430777819418, 2.0907170220325986, 2.470732194424554, 2.6620340476953057, 2.861266417178858, 2.8984268799580906, 2.9199906418150015, 3.0815428445779216, 2.815497494017162, 2.705607480551272, 2.577424443180396, 2.5517473036514398, 2.2233378651023243, 2.032690573182235, 1.9079961120296864, 1.363244422086825, 1.0171346529858394, 0.9803786249045745, 0.5368080360493523, 0.24718952229051772, 0.12685349011113806, -0.07209846257937931, -0.2883464002412513, -0.2472992185703513, -0.4335412833441922, -0.43874631283560495, -0.49192450535332854, -0.44986993870793596, -0.03269290374862037, 0.002252346258300203, 0.34657547666078964, 0.8120839727826143, 0.9455218015251625, 1.1951714205092263, 1.5329587053988198, 2.0002359850212486, 1.8766849346610286, 2.3108919734103655, 2.701635072972965, 2.778241801504, 3.018884162780308, 2.94004903481179, 2.931825176552102, 3.2507591208507107, 3.0183805004108915, 2.9947379559994207, 2.855378634365887, 2.7065269499052134, 2.3835118361145167, 2.133733590326865, 1.8737695159577894, 1.470668743066248, 1.346286596734394, 0.8951653977364555, 0.7875746317281236, 0.5030819792056297, -0.02057002720754386, 0.09398244357310186, -0.10757289673711096, -0.09480297787839534, -0.10213658693784666, -0.2599958330643917, -0.1795486917624447, -0.23789463449527223, 0.025975682537638916, 0.4029101842147734, 0.4681269435126285, 0.820878045398612, 1.0074035869037767, 1.2922360135965338, 1.6596818053833156, 1.6042387563035454, 2.211919071610713, 2.2066871959494576, 2.650073328210983, 2.764475729942548, 2.879415922972897, 3.2425015005666955, 3.2562908657214025, 3.106771119999145, 3.3268141581075623, 3.0852533260968142, 2.8204288344136406, 2.4559798885780295, 2.4074263997068654, 2.0977789453990465, 1.837302043543566, 1.6350534928183686, 1.237491090190585, 1.1445186267047813, 0.6858927381295432, 0.3859494194851587, 0.3329276656892719, 0.08231718509589463, 0.030758755821599232, -0.13017801230894901, -0.3285162966918109, -0.14987029080688385, -0.210335051533049, 0.005444183902941527, 0.08770553007953988, 0.3252738434651182, 0.5840967241554691, 0.9157068615599935, 1.0703572434455435, 1.1417758324423102, 1.6234363225466473, 2.0249219789454953, 2.407427578673316, 2.573740374481413, 2.8670040067890157, 2.9692464539695544, 3.118116680781391, 3.167435120049705, 3.3415752900337004, 3.394602859522223, 3.075552304039519, 3.0870030437901823, 2.7917205210253018, 2.883078690892996, 2.5027171560332757, 2.225105994443832, 1.8344711678376089, 1.635384210551649, 1.3572631533377817, 0.9706543170662314, 0.8215679234913154, 0.4725701636444942, 0.3850825447532031, 0.0640935858130336, 0.04295979024844265, -0.07989551745354526, -0.06772626693277257, -0.06697565117274273, -0.008437232202872937, 0.023133079348809843, 0.31345990220749714, 0.4888725074750355, 0.7609580523702941, 0.9596835888686305, 1.2290979287908421, 1.4416270050187767, 1.7753993105351085, 2.085751277392347, 2.5052506097102762, 2.5367671638481415, 2.74785184320904, 3.0571108522761947, 3.1262465008323113, 3.255511206785833, 3.2901495587524345, 3.2597064014544177, 3.183937008157376, 3.0552654437305606, 2.9539417205997194, 2.646255749103267, 2.6199531485163963, 2.210344944981288, 2.0640385963967702, 1.6619039824797968, 1.538849929629648, 1.1535878441609466, 0.7723361727579864, 0.8845403903883223, 0.3795780431838959, 0.19080296997478458, 0.06664002665653657, 0.07228084094126881, -0.14515502606355277, 0.03303553250231131, -0.07855377790773721, 0.2022384199599648, 0.48747134144042903, 0.525147979915979, 0.9095769875133697, 0.9212186658049645, 1.312416711853757, 1.548972962051932, 2.16050974310601, 2.219596060356353, 2.4696363028245236, 2.7585428495734705, 3.0024244256433845, 3.1433323134081017, 3.1958760762095353, 3.536335955838216, 3.545933592714139, 3.454454054845106, 3.3820219245149823, 3.259492311015017, 3.030863705783221, 2.8182543627000114, 2.798352669318754, 2.4388558503887348, 1.962090418904941, 1.7586416638146443, 1.56030826761525, 1.2640874574092638, 1.012626764967535, 0.5688184003168174, 0.5395684601313988, 0.4482749589934977, 0.059734046017297676, 0.30605538019588785, 0.13772742331660168, 0.14003038576087118, 0.1093020597727955, 0.26503240914056747, 0.46036828361963555, 0.5650122441664762, 0.9193531755061717, 1.1312896251798505, 1.5767481606003995, 1.501366693334003, 2.079402392896782, 2.297034675738487, 2.666591679652938, 3.148818891008456, 3.2951024511794054, 3.253129284699418, 3.4144617283630816, 3.4311577235862387, 3.5309329341265507, 3.5990025793713807, 3.3224039653965387, 3.4901248493977746, 3.259647127537276, 3.0502539094508587, 2.7629410799334377, 2.369810624476943, 2.2789806186454205, 1.854241399915944, 1.425650906404632, 1.319602118335505, 0.9304693547851399, 0.7463768476266367, 0.6712669634111803, 0.42193866442471056, 0.30824557289221755, 0.35552346109779165, -0.009294328051941497, 0.35816151282409414, 0.3406993598537159, 0.4478825993649773, 0.6246037989546096, 0.9054614141059578, 1.1903031683815415, 1.3359880776773911, 1.6356231368776648, 2.008095747770482, 2.035296508722582, 2.5238800836257553, 2.8542300787265256, 2.9996212273144938, 3.1801123152849744, 3.4159054402302043, 3.4988283166020415, 3.6102029458699314, 3.61400171182276, 3.792113281804289, 3.445897472464196, 3.518818139906898, 3.207600401693066, 3.090644875608522, 2.8817252089972563, 2.70370467971302, 2.3065187835739525, 1.9358252932485416, 1.690978574544033, 1.5948666613974847, 1.1563633062249628, 0.7727512594750013, 0.6625626400297833, 0.4974791493620895, 0.4940752421262213, 0.23046122448799009, 0.2845446363805485, 0.3910503596227079, 0.42680051000223884, 0.5973502577197609, 0.7807337715090363, 1.0041182696670783, 1.1391306950676041, 1.585701853841286, 1.7432225943808302, 2.0943138779581756, 2.2719025960352868, 2.6846095506038496, 2.9684023130552024, 3.1949041985011095, 3.3209966474532413, 3.6791795241865137, 3.746693757540155, 3.747411021083236, 3.7683114174008905, 3.6794280156572907, 3.610410553169843, 3.6897222365805735, 3.335479148284117, 3.4362911006961157, 2.8004020533534493, 2.685136018454498, 2.3864926979420025, 2.0756267898426985, 1.6224621750396462, 1.3647309323111916, 1.2607650120878806, 0.9053959409317742, 0.9297801850556776, 0.6282142465667476, 0.5634560525633386, 0.470411470576659, 0.45534552336520995, 0.6536442751662513, 0.7000011165727037, 0.7449617465512408, 0.9788461579151418, 1.2488988177089517, 1.3238422361741051, 1.5043800189017729, 2.0073176977570415, 2.3758300191109063, 2.377030237916007, 2.774216283482851, 3.0775050520421434, 3.2426088708526652, 3.5308262382703446, 3.5974583782533256, 3.794624267180899, 3.9649201440908746, 3.7052323719599025, 3.7726043570314243, 3.932818851061587, 3.577563830341839, 3.223764056162219, 3.2862471481894193, 3.015707719216725, 2.7682236541278207, 2.4739037973784614, 2.3035665973398514, 1.8164642764468555, 1.5992283512837262, 1.3071331917180857, 1.1877880731645842, 1.0027612232751932, 0.8082841641697189, 0.8784616398029733, 0.6598642033063741, 0.7228058430999984, 0.5531985721157423, 0.666762457816988, 1.0771032813789188, 0.9295670335153032, 1.3654794882951664, 1.6722270900426641, 1.9394395801766475, 1.9557595218770683, 2.379856280890622, 2.7740063249098763, 3.0710951498759176, 3.260768231719634, 3.428534476866323, 3.6718708444386627, 3.7970468851297765, 3.8480685261164123, 4.006379156466793, 4.2338042065667185, 3.981953939387709, 3.769219968835872, 3.7478296597483585, 3.7765406672722515, 3.2269418809300503, 3.1378621824462094, 2.940379683164547, 2.4664976613910925, 2.3078560951231037, 1.9088648184752517, 1.6011982562960128, 1.530356662530947, 1.4233770614217383, 1.0110726491200983, 0.9582448328845055, 0.8453190962142908, 0.7607783814281852, 0.6723579594921543, 0.6893628313543568, 0.8106587292394012, 1.0194893778398737, 1.1853599664469743, 1.3395673399061576, 1.6915973477141564, 1.9288853043257046, 2.342763634568356, 2.5479816991931066, 2.967819831966091, 3.1902201712763896, 3.3802788867908564, 3.6472957938712067, 3.847805729619629, 4.033687735975842, 4.162374412402196, 4.140684687182871, 4.169849352666674, 4.161562678341246, 3.760730123415453, 3.9709499814857665, 3.636794698501698, 3.482823374079278, 3.1934639973581214, 3.063209962205328, 2.804145736234738, 2.398792850189291, 2.1125131547840343, 1.843976841385535, 1.5932190070619858, 1.471181446296601, 1.4847426786656466, 1.0213107767732328, 0.9969130899181174, 0.8068354267939017, 0.818933671544695, 0.8469312767251004, 1.1874117027259665, 1.2752871859685748, 1.36036613302176, 1.6507433431205814, 1.9662554606363478, 2.291706654069047, 2.5087099313646584, 2.777363005650964, 3.195890139738517, 3.2360822619805703, 3.4148107337725397, 3.9634783168670173, 3.987182161612926, 4.317637278267957, 4.4808078184408675, 4.529182472437681, 4.045983704802632, 4.379208995212327, 4.150241009843006, 3.991154850435621, 3.9066533004288555, 3.583491788169493, 3.46838869324723, 3.251355432585358, 2.811752591510748, 2.5764617691015834, 2.208298759867434, 2.028240379995303, 1.8727769048071166, 1.5517275415665266, 1.3154282771566321, 1.317657409440708, 1.0522986212672003, 1.011258373096606, 0.9911244334240449, 0.9602044367489275, 1.1403925883904942, 1.3878164318224768, 1.6031252007363932, 1.717397544931294, 2.0261620727677165, 2.1721300786182316, 2.8769302928191074, 3.1054359424953746, 3.1824021864605276, 3.548751389143268, 3.7054116001707778, 4.1238067975248685, 4.276453488608196, 4.2286117402672465, 4.363247638820672, 4.504129177281353, 4.648360509226272, 4.419449279092391, 4.485883283173701, 4.237594932901813, 3.9329165851609273, 3.748286449540132, 3.5985581332606493, 3.3438711394880865, 3.0651893508346655, 2.702398429529328, 2.440298822627802, 2.350734249186434, 2.1181738145062283, 1.6653431207615481, 1.3044562033112452, 1.3579902076612869, 1.2679004561442426, 1.0916210474411545, 1.2435183137768193, 1.1911469250337772, 1.4474337692653132, 1.6296012509078568, 1.8246167298963771, 2.108123243681891, 2.321776414014403, 2.6397423527494976, 2.98792275959883, 3.1152541967260396, 3.439607841835966, 3.6980048346275027, 3.9151498933600513, 4.184920741701608, 4.4855276400670565, 4.618671284708426, 4.472852765422777, 4.85975546820008, 4.767208044019538, 4.648242867427684, 4.38092418581477, 4.248061582044602, 4.323246346685449, 4.044611773042324, 3.8002556134271543, 3.397364892967021, 3.2531409167800147, 2.6949449275163464, 2.424595376740911, 2.3802639397904963, 1.942889286573192, 1.8173393856951958, 1.468604471742719, 1.2300404393914581, 1.3284766260408227, 1.3594125875326704, 1.3231461911617515, 1.5472899638827808, 1.7052525109844185, 1.8299251852569633, 1.8589767674242805, 2.2676580972318923, 2.360562789034913, 2.957535034134524, 3.0748952486011643, 3.285257563335851, 3.669957227194578, 3.9594941153700858, 4.267281182022093, 4.229840412860521, 4.532779646392828, 4.790492663419758, 4.912227124219429, 5.202837304353091, 5.003387901417799, 4.735250332006665, 4.87094667108337, 4.595299617959027, 4.477057834197085, 4.155680200747329, 3.9940349054721103, 3.6807278247187876, 3.3392298544115873, 2.9501452771937346, 2.6672452882206312, 2.350064505404847, 2.1958227879100045, 2.104276954373494, 1.8806145291264666, 1.6180133918885846, 1.713446552922109, 1.4708200510218696, 1.6451635610421949, 1.8260582625818833, 1.692665435679341, 1.9964615212316834, 2.1191221886141864, 2.5956050468306446, 2.928445407000686, 3.048558109688114, 3.380556332782309, 3.730251672878938, 3.963148183304396, 4.080734681798203, 4.370112248068188, 4.588516437535461, 4.640617089486992, 5.047630639605768, 4.912371723576252, 5.1573645702588475, 4.987078135969009, 4.971722786900292, 4.935058434204866, 4.872085282181038, 4.606204040058344, 4.273525596790416, 4.021402397842949, 3.628204074191772, 3.5209467482694246, 3.15969844786522, 2.793772845231604, 2.7005884638512505, 2.525925420389824, 2.1601527617294383, 1.9549472756133226, 1.831076349384853, 1.855168814826478, 1.6727141819751978, 1.8281764368737035, 1.8597201439245044, 2.0793357127519023, 2.260469155884061, 2.3034153071409937, 2.729427024458548, 2.9816066128070844, 3.207987728193365, 3.4845422970492805, 3.7859932347243563, 4.103549586281899, 4.302309884036115, 4.576150926028619, 4.881104716951423, 4.980123673582724, 5.257018068722922, 5.239459067348032, 5.237589006934309, 5.29901316334646, 5.155117879991861, 4.998980304033627, 4.879602114718123, 4.505985573667836, 4.276747678025757, 4.119581062807812, 3.812404246935548, 3.7080491869299586, 3.480405050053418, 3.107396828446878, 2.623583090952744, 2.4366313062344678, 2.4103833876732543, 2.1957258722216344, 1.9096830502079614, 1.9407545495360392, 1.9011427399654548, 2.1881872031875775, 2.1977556232001803, 2.2317046054392775, 2.461156955760895, 2.670054826974648, 2.913506760404232, 3.3638381506104933, 3.6148847544217793, 3.927824625117659, 4.109224951285435, 4.33366541855576, 4.516465597081239, 4.787723453425462, 5.201681848573928, 5.145845632829008, 5.383214732531353, 5.341719745247334, 5.498542361208284, 5.378473581627498, 5.47656305314748, 5.263011179857692, 5.039383658289657, 4.818455123909008, 4.688705228954777, 4.416551225371896, 4.075583892413153, 3.8102652341912315, 3.5050314624115764, 3.0586092542584313, 3.0134166448440696, 2.629294356118118, 2.4977441953890986, 2.4604830862824745, 2.2916861392624535, 2.404675166137078, 2.159497135462708, 2.237174002913122, 2.3843079589905747, 2.5023381633799575, 2.7929604220021464, 2.97315695791854, 3.301178842794405, 3.278733026411503, 3.8133274718621486, 3.9386190783662296, 4.381906445943209, 4.603415566966683, 4.830272333118689, 5.260799386418787, 5.1855762641706376, 5.703978423557117, 5.709661467173552, 5.738220338145307, 5.730050159159693, 5.6797673132732145, 5.684980365118147, 5.3720549655993, 5.0334864099204415, 5.140242932050709, 4.816042440073098, 4.53365096850508, 4.186292095968084, 4.175657247288611, 3.950485106239929, 3.4872187932146086, 3.2202139803287126, 3.048951467507096, 2.8485134922427426, 2.606522022218292, 2.671945212771184, 2.6052342307767726, 2.5588885457842676, 2.706697543397353, 2.701152419915873, 2.7008095132234122, 2.960766625892477, 3.2715283211167594, 3.3286536823654846, 3.6867894951927656, 3.8516532671620394, 4.513849579197927, 4.653936562030524, 4.962196408452266, 5.021271295406008, 5.525079558953084, 5.651770946730786, 5.606547454334424, 5.951875809070312, 5.878879672528109, 6.0014969792382535, 6.03865589748087, 5.899971038878583, 5.565484956759273, 5.602295406976981, 5.449079086070185, 5.100593531516485, 4.905391303152362, 4.625045817455166, 4.081258486610802, 4.122664680442215, 3.667519921721711, 3.3970926787025633, 3.174288932121307, 3.1763740858219527, 3.0515890313711296, 2.8484772026580494, 2.6996478393435437, 3.036541208786629, 2.793360758772453, 2.8297842745401858, 3.144939270526501, 3.2210579096355523, 3.6705860543439974, 3.636193105882312, 3.9852738830912946, 4.453993194356965, 4.652868400415821, 4.874713655960136, 5.10038565344553, 5.346776971237837, 5.57011678874329, 6.000399422676083, 6.143837521083737, 6.233146531343737, 6.136706848884503, 6.232891416295749, 6.25779948122178, 6.264203793455765, 6.0398368156795605, 5.839519399656934, 5.518740184832198, 5.4564166507319385, 5.070267078251137, 4.6745745642180445, 4.439006652799259, 4.31122859998255, 4.042321937124844, 3.4514355567120365, 3.488100889618006, 3.1816308014346872, 3.2059492799532774, 3.1272080912199107, 2.912686574273023, 3.0242538368489122, 3.1616518315435296, 3.2853483937618044, 3.250591095328531, 3.6379649692105964, 3.787887590805343, 3.975016843455646, 4.300053408477521, 4.687897533668453, 4.990094044915695, 5.302549947605019, 5.43174284584697, 5.787275931185716, 5.977513789544631, 6.223146423933224, 6.309623518456963, 6.630776201469224, 6.532114259104797, 6.530441368401882, 6.547647265236428, 6.522979246198629, 6.2784431798996385, 6.062011733848092, 5.964815347009923, 5.802642772362064, 5.5011844428467525, 4.977733757067569, 4.865762118590786, 4.498144325933255, 4.362465475096029, 4.170113813659642, 3.530703638806916, 3.587210100530642, 3.4003439786893233, 3.2819371285493495, 3.217690417900073, 3.2738231148938355, 3.3496118957940118, 3.4534822429713214, 3.443197603900681, 3.8573692752430495, 4.18575432374611, 4.2896454131279755, 4.4681697679256684, 4.942003893358299, 5.342966701302185, 5.552280930555027, 5.7499264940172425, 5.981658409498606, 6.391219445896482, 6.49466586445358, 6.620637310795597, 6.71949352681767, 6.859834692722383, 6.85561502597504, 6.80397101285691, 6.60686204252381, 6.458977794461051, 6.312566828124766, 6.186608616683172, 5.963335696944122, 5.784533972353662, 5.270927645098704, 5.14002512943992, 4.61355621763228, 4.552681262361281, 4.121073576050868, 3.934702892938434, 3.954596346015721, 3.7594625090661222, 3.624573875428147, 3.479152036470601, 3.6693423174009836, 3.7064167636601795, 3.8851591249566164, 3.8006967831896983, 4.239738874217371, 4.362759708352313, 4.714202210114748, 4.967868025526715, 5.190449478059023, 5.539276753560208, 5.792072456890024, 6.112120714007608, 6.335732152371292, 6.698200846744398, 6.766075190131919, 7.058828348597251, 7.43325184367496, 7.134361049193373, 7.003624040394465, 7.322631821359196, 7.047951956078536, 6.854591481164875, 6.643170240929048, 6.352961900561802, 6.173212211238301, 5.857546632975853, 5.574991729980146 ]
[ -1.5614081605706223, -1.3872574410736274, -1.3713447470361124, -1.1629481704484599, -0.8679655690496856, -1.0259623639176292, -0.9696461887267327, -0.5873462134790037, -0.6083609889415921, -0.45207565986236353, -0.2513820297081494, -0.004117822438801252, 0.02073167929145279, -0.06865763110572645, 0.31478435031939167, 0.43778905788485023, 0.46428787369885904, 0.5157666032616387, 0.7834563775230396, 0.7270623249425618, 0.9143908379467511, 1.0936654911187642, 1.2392085692942263, 1.5880948801711947, 1.6208103732109451, 1.806463974296636, 1.9281412007445524, 1.8891909823894755, 2.1224238854206443, 2.291703585635253, 2.436968769986565, 2.6339142865682184, 2.814270057827227, 2.89449910701613, 3.1694425986300305, 3.1728918141242755, 3.211363844147128, 3.5289890836826263, 3.414402648792394, 3.725552666156278, -1.447079971542777, -1.3820904146696735, -1.1395483473665835, -1.053224090862886, -1.0734448184531022, -0.7346396489717346, -0.7204628435395278, -0.4691756157960233, -0.3583147370588603, -0.1667166260747597, -0.30117719437697277, -0.03718559361600696, 0.20849287626986535, 0.6218969365409817, 0.48333315618580536, 0.5613060056004029, 0.8284855783369885, 0.8181336490179628, 1.0561735804601127, 1.1539914710996113, 1.3918744899442481, 1.4867246612656613, 1.5085384206576753, 1.5421463968653355, 1.7213349178557436, 1.9938023881192026, 2.094896165681125, 2.2387202285056462, 2.3973298783538217, 2.425956127451458, 2.633327349128916, 2.7787106679219926, 2.771881494048888, 2.990426827521006, 3.2266950532545424, 3.393407025220089, 3.3786939074426026, 3.645382085759372, 3.669966926103104, -1.460513505029978, -1.0456043472906167, -1.1421413316415145, -1.1121266326007557, -0.8724474816126988, -0.7192665318719149, -0.4653603900355548, -0.4565184125476985, -0.2467611116162825, -0.042297717715351124, -0.07089280235339263, 0.15257715833720337, 0.25322908239768177, 0.4180941376428697, 0.5417118367831046, 0.6822881720590285, 0.775180203358847, 0.942316150428401, 1.048590044735871, 1.4450675825560575, 1.4085442014097938, 1.4843436887272663, 1.5864150624216335, 1.8541730431793155, 1.8108739700332113, 1.9001755545274224, 2.0287805395793863, 2.4304952754973255, 2.561425211765182, 2.5889823775585326, 2.6531079045003936, 2.790324877460922, 3.185626890349627, 3.1084913535601717, 3.2880325391426237, 3.3458924798088114, 3.5350993074652455, 3.70001637588011, 3.9790347449145127, -1.3140954502232014, -1.1175447891344226, -1.0687471322033473, -0.8781964588108966, -0.7264218057368705, -0.6448494585683173, -0.46449119944770495, -0.42288234224349264, -0.16545783091414812, -0.07393279803014377, 0.0015044314665546982, 0.18124820471407785, 0.4599880919087769, 0.4550427337314228, 0.6445204115090574, 0.7804948530789106, 0.9322805684627158, 0.900118735886144, 1.0433461241417015, 1.2083258299946051, 1.4801415062246466, 1.5819505807986816, 1.713236312411065, 1.8162872858289822, 1.8322240742820344, 2.0409841865832186, 2.2584700578675383, 2.3566435693840884, 2.5279001611428966, 2.4906638456171106, 2.7814161923743748, 2.710383990718595, 2.9250677754151857, 3.0947036986661254, 3.143943623965487, 3.3844409063635648, 3.628677434179104, 3.853999733151397, 3.8202376090659196, -1.2954713151693316, -1.1054137240358155, -0.9837726807595085, -0.9218349948911662, -0.6299477391271089, -0.5771006059007316, -0.47712871040061233, -0.33165602757935486, 0.09680841732579443, 0.0756168597409016, 0.10066035119593694, 0.02745345531241694, 0.23715892590598914, 0.5527007125456077, 0.6514741505600458, 0.7018330298910695, 0.9403516460824722, 1.0155900370039896, 1.162459886149437, 1.345769267181684, 1.3980192577221648, 1.4975996165988044, 1.6372764694872266, 1.8687534978516982, 1.8875027942042637, 2.40139629924429, 2.41229123141094, 2.5274962063356146, 2.5035843697793907, 2.643857038680848, 2.7236596595675184, 3.185714913488453, 3.272820085618595, 3.34232523141367, 3.39960619986294, 3.5095147901463446, 3.7355593099690076, 3.9813791726390675, 4.0225325027879615, 3.9836105988121306, -1.0850734972544518, -0.8249747639431969, -0.821469725731916, -0.6455201916918406, -0.31069702737509225, -0.3564653433133868, -0.3459164171750395, 0.23692190004307834, 0.19382336035597192, 0.21540733735462592, 0.3577692556342814, 0.2825699094528794, 0.5926652979784993, 0.6942896948631846, 0.9152278798804575, 1.2049778901811559, 1.222983951876489, 1.518772728934063, 1.3129011270738449, 1.4350814497627669, 1.8502963173333684, 1.8732918025796501, 2.0464223576654814, 2.1338110266177663, 2.2928358194652882, 2.478934527466817, 2.572252201416705, 2.626678525861073, 3.053675469991824, 2.966940594080899, 3.074418364033641, 3.1966818740845437, 3.402190856894436, 3.480724616232357, 3.438954266270552, 3.7533466128206165, 3.8073397116572036, 4.079317436972717, 4.186474865147707, -0.9799713578624623, -0.6825582647079176, -0.6467860933045898, -0.5404760946851414, -0.4020469668225171, -0.2673265958278823, -0.04123062205593761, -0.03288746267754265, 0.18906187885163347, 0.26861309298652036, 0.39170465370905605, 0.640269845985476, 0.6365101565729006, 0.9191094976727904, 1.035017462874052, 1.2738113518707672, 1.1022188369244144, 1.5170620124708076, 1.5219552774980594, 1.510500679484566, 1.7604289063399994, 2.0145926450385416, 2.091890283402757, 2.3723492895535037, 2.340830064783409, 2.508421104101671, 2.630383848853891, 2.6838408921377805, 2.920244495217386, 3.03832865988629, 3.206147069557029, 3.340465451781146, 3.471857100870577, 3.6184956249111564, 3.855971197535947, 3.78542348031978, 3.947991682756357, 4.299254436157988, 4.421837311853328, -0.7821165819152976, -0.4683867730507926, -0.4847007880476665, -0.2089583233097157, -0.113136204490483, 0.04088871438327199, -0.09946405960878064, 0.2194717875136689, 0.28159287040948666, 0.29337140836907105, 0.6980904039001984, 0.8212046505680763, 0.8245443527533882, 0.9146063597338994, 1.1194974743443749, 1.0695687660214959, 1.2536294709926563, 1.4957356422755563, 1.7245936388689327, 1.7818549774976817, 1.8821733774445164, 1.9923415631616554, 2.4563604107547397, 2.2425022704723494, 2.3045005627983928, 2.567122654937406, 2.8138877081057005, 2.9103375835783596, 2.9618534603272537, 3.193615991325161, 3.4227313953910032, 3.469685888246271, 3.6021267621995148, 3.739927811378433, 3.787102942192757, 4.044111636308563, 4.240848807750807, 4.409385680873865, 4.454640212373014, -0.6893353289972733, -0.36560582553641885, -0.4037113523101847, -0.32661440061532265, -0.20956120939468742, -0.08346613929242973, 0.08414604978470067, 0.4647011094206512, 0.3339652901319331, 0.6999042582400465, 0.6642925822673026, 0.9266348286620416, 0.85219432728053, 1.0959010004356102, 1.0737091256684235, 1.3751767594931787, 1.589294234993129, 1.7449432710451505, 1.7854869532374664, 1.8877832366460328, 2.0700269460559535, 2.1418044911939336, 2.279368751885469, 2.4336039749457496, 2.634930474799329, 2.8934904338295815, 3.0175079890550185, 2.993493337366589, 3.081582935044283, 3.2276090580934533, 3.29075133599756, 3.6492341804010207, 3.5748762499195665, 3.626249123145688, 4.062732808548131, 4.196204574922714, 4.157392404619347, 4.433579547622859, 4.409308389463249, 4.669281531837248, -0.38722248945442694, -0.21588099205123748, -0.10774040912749108, -0.19888960658739377, 0.15865120304330382, 0.4844262811021678, 0.44353069783823884, 0.4036676263040416, 0.6091037198291354, 0.7669015714769525, 0.7228548073847331, 1.1040418164092785, 1.196911083294894, 1.3395767239432796, 1.4954722048687363, 1.5737156024098853, 1.8694359823761888, 1.9403480426129813, 2.0066023405037834, 2.242515654241808, 2.3716138044512087, 2.378621901946708, 2.5948915557367354, 2.732819531791072, 2.8298227716818984, 2.89076710391687, 3.102917163130335, 3.4292903377793484, 3.3758771906315284, 3.668809316778594, 3.7135219275452234, 3.8719706428597984, 3.870945310743396, 4.247929616785432, 4.475730836257815, 4.338085731582378, 4.676455787491346, 4.557388878469318, 4.81715134105006, -0.3964642888848273, -0.10325500929524706, -0.023155690114703625, 0.13042812144562252, 0.4049733724186375, 0.5364092387132495, 0.5331242194392939, 0.7993712081667084, 0.9419849518298267, 1.0762122815466755, 1.1183679874569288, 1.274989850678492, 1.3519131997605158, 1.7520371450699639, 1.696903014538873, 1.7871651780927418, 1.984082942655187, 2.09932737712235, 2.4168160305123143, 2.346798564461709, 2.563986040427549, 2.6139081337607974, 2.595555010357654, 2.9029096055828023, 3.1265788225187094, 3.1933065400575873, 3.2025763674151704, 3.615227070582052, 3.476240861008678, 3.6564326384820602, 3.7597559781923615, 3.90717318153786, 4.153854010615892, 4.3490121057149596, 4.367794659394943, 4.621506008461997, 4.7805731263436355, 4.80937510718155, 4.829503247624653, 0.030910499338992314, -0.04891269291923794, -0.06421092492098632, 0.25654980133125976, 0.4924939976183801, 0.6461606769559184, 0.5977906994361075, 0.665317800594924, 1.0194890130232621, 1.1793122678501697, 1.3781446698106024, 1.5054175614561767, 1.5585165301183923, 1.5907549917708987, 1.7731268138516563, 1.9358799164100526, 2.007437353141316, 2.3458788987766375, 2.47938648518694, 2.3758343676956843, 2.6221042531296552, 2.9993424114661327, 3.048276122628471, 3.089683663829775, 3.319335569236127, 3.5135841379514603, 3.497013652889658, 3.4907795939422024, 3.8513691285069562, 3.995490803121385, 3.942722117208708, 4.208311486651813, 4.242169632130535, 4.295748331477549, 4.621290360042194, 4.883443410348563, 4.9093742735338175, 5.033971291881616, 5.022063349125185, 0.11721496431779736, 0.13810082244251562, 0.25473358021117504, 0.5598448675791212, 0.4891614839791675, 0.7286537702923503, 0.7741737961235279, 0.9981481472381626, 0.9480241558903479, 1.360564233087878, 1.484592494460731, 1.8024412195422408, 1.7481859164823579, 1.7729407111955755, 2.101543687271438, 2.2384966181589494, 2.411520084869863, 2.2240239448186387, 2.489261153632907, 2.6078886173655778, 2.9907962843070264, 3.0577905111619823, 3.2295955040581905, 3.1473805080516937, 3.408469868495011, 3.3718275665164157, 3.563693522050107, 3.8256511058877085, 3.9748550311847066, 4.131418123295257, 4.166464503150086, 4.413452836613455, 4.5108115455119675, 4.806800901324044, 4.746595331870031, 4.745274460724011, 5.129890553063131, 5.241294598917958, 5.258233878229009, 5.454089981937789, 0.4056725424485907, 0.4878862418989812, 0.55434015169846, 0.7849855453499115, 1.0329737063460942, 1.0479750959227623, 1.2449221231027634, 1.345221120582526, 1.3794956827817486, 1.632013269886409, 1.7377844276949204, 1.9978343626063197, 2.185200863074205, 2.2895352187054936, 2.2675599083150053, 2.364520434305831, 2.4691677056354373, 2.7772235415149464, 2.8291331529900186, 2.9285323193545434, 3.375802956389913, 3.3680370346453707, 3.4928478066559645, 3.6276853732574033, 3.9007761419144114, 3.8620487972713304, 4.080401770891434, 4.24883911852026, 4.484167581202809, 4.438153017704339, 4.701680178025898, 4.535311885050718, 5.069839169610062, 5.040320463618663, 5.21355940560028, 5.149631137754255, 5.283161681119685, 5.493416360464714, 5.700040787107184, 0.5726560769236679, 0.697162696094939, 0.8585370985131334, 0.7848449449457466, 1.201055959978506, 1.2815296368651383, 1.5337461778622032, 1.5311828474865847, 1.6817187399994171, 1.874893008906991, 2.067664347246351, 2.2545180906272537, 2.2755892744430803, 2.462731867722722, 2.56341609026913, 2.670968227355189, 2.6483726862164927, 3.0014840539926366, 3.0301123169186033, 3.3485565573596245, 3.3149860938644395, 3.485308207301948, 3.600280765226752, 3.8761582542880975, 3.932885404661552, 4.160429610633253, 3.9769743244760094, 4.583828460016431, 4.42381237717929, 4.742156404621744, 4.855743072791655, 5.017388756414223, 5.004929408951759, 5.193315260140274, 5.407566254000555, 5.508655809551596, 5.557873035272042, 5.8467039966731855, 6.158315225048963, 0.7883634604886232, 1.0199584441637517, 1.1345487712857776, 1.2153173270490263, 1.473674544158233, 1.6129719257674595, 1.6194070583821838, 1.958381451319915, 1.956858026743218, 2.204069356037691, 2.271685257912177, 2.3819631643286683, 2.5179424880516725, 2.727177497327371, 2.690361577736633, 2.978300990465353, 3.21301870049738, 3.2738988517877843, 3.1890299520010874, 3.366269805972417, 3.647564688788646, 3.7076738833136766, 4.016256175676312, 4.020800413105845, 4.264306914711106, 4.544078255553333, 4.4934250040315735, 4.53093987398454, 4.812716760826036, 4.942435488335158, 5.0802093979846425, 5.333068614479439, 5.21872494576206, 5.57838099554452, 5.558920283739034, 5.898720799065319, 5.689573491805383, 6.266015729946665, 6.157041797405812, 0.9642877973034435, 1.317272209381411, 1.4188993807243109, 1.5542878313765767, 1.743178573268556, 1.7951237816477539, 1.9035103564955511, 1.9581252365572135, 2.2039934745945398, 2.3055643641786414, 2.4972190028699712, 2.650710912151898, 2.954534896443022, 2.8474617543724894, 3.049499357556121, 3.1614921271900465, 3.2061887704726626, 3.7791115651482095, 3.5358034899069457, 3.807850390354918, 4.082442838309534, 3.930010406832325, 4.283098227325463, 4.183114397991181, 4.398390176515419, 4.676355736826303, 4.734562789652077, 5.048914418666975, 5.057957409149605, 5.238867934153378, 5.259461027725318, 5.3662878369588825, 5.496258175107131, 5.660088326173461, 5.825834448937593, 6.1528024500019, 6.21921309733667, 6.1928973372667775, 6.421298562525077, 6.601281373841194, 1.7995176452320012, 1.6488968621162317, 1.8352857693325555, 1.8325875520002008, 2.1458078051908007, 2.353723997989497, 2.3425506374084084, 2.5611535072386835, 2.699140534042619, 2.790544202388457, 3.0547195985606512, 2.987795443906063, 3.122506049669382, 3.352245742207606, 3.4565615517481136, 3.3448595372814642, 3.7050050167114965, 3.7072797398685533, 4.030393036697332, 4.275960873494429, 4.352253829829139, 4.502403073174284, 4.615742410096938, 4.794723021129003, 5.198322674711161, 5.022908651787902, 5.199107652091334, 5.25630926216136, 5.29474099085585, 5.654029292471815, 5.883034773979099, 6.144267796451851, 6.035930008187982, 6.171206076411612, 6.433135787989361, 6.6532782993075905, 6.50098153574449, 6.833524405010122, 7.092386389695401, 1.7872629825988706, 1.838913719079246, 2.1758383328376083, 2.1053728054467915, 2.50158454663936, 2.724264773894773, 2.617850601758564, 2.9763493614499956, 3.016375721592457, 3.2345662687492664, 3.173723485390728, 3.443811864876021, 3.5484684448427872, 3.5884861334092415, 3.774672677016309, 4.010314978010007, 3.983066774019313, 4.118290225319134, 4.253622431580591, 4.446676063865325, 4.695807997960638, 4.759478912834037, 5.080875689919273, 4.951697369869033, 5.290422066254268, 5.345448172120508, 5.514719344659648, 5.7367059836069965, 5.547911741814238, 5.7406985595595685, 6.0913371442858715, 6.218505738675594, 6.241114389652981, 6.7276371665150165, 6.554470737433046, 6.760332075205626, 7.071814029784351, 7.0325774642764785, 7.15659408577898, 2.1856041926297816, 2.2157203334857694, 2.47286910806464, 2.628065976606881, 2.758078940756611, 2.9814649817969245, 2.968417453313174, 3.1000541144026608, 3.285383571295251, 3.1544585359587174, 3.602320386563244, 3.691526994815913, 3.906296520314521, 3.9219994956469244, 4.2897612913771646, 4.278079859784756, 4.526055182335008, 4.535414439221673, 4.776518447131026, 4.718035506790406, 4.797631785035285, 5.140341383356962, 5.3027910135023495, 5.4389766801389205, 5.563487977867713, 5.696084719895516, 5.947634910673234, 6.2023650991445365, 6.426615662641724, 6.421244951206229, 6.226972452388926, 6.704789790834475, 6.847502096257801, 6.877617431676436, 7.124445712954751, 7.211788931898151, 7.318371583778407, 7.489264590396201, 7.552646705545714, 2.328224327894691, 2.4686184401555975, 2.8922408699259394, 2.842167813020759, 2.9360251179346797, 3.0782378903185266, 3.3298904337367126, 3.6733786232221894, 3.65159390313845, 3.667333459047784, 4.1029793068711635, 4.131850996623989, 4.2089457648007516, 4.436571970805529, 4.533645434897226, 4.605217281364068, 4.7667768144150315, 4.84228333531864, 5.063540384211134, 5.348112682510226, 5.489961976920061, 5.526687860748262, 5.672419462263507, 5.730222036461783, 6.017850066783703, 5.984626495404997, 6.350858298224313, 6.454302097428355, 6.530690820593578, 6.7455511229731435, 6.81270576031191, 7.010539152500309, 7.158023486061613, 7.398090289595597, 7.4752876635494925, 7.676147493154766, 7.755560153371426, 7.855496576024166, 8.057721542252237, 8.18576835602031, 3.0202175434478242, 3.060656812251833, 3.294303619311423, 3.4386925633835173, 3.6923352906716858, 3.775481674138928, 3.845939026144754, 4.055957829432667, 4.185606798798858, 4.271062436526623, 4.654955159841343, 4.634949759256848, 4.719738201361397, 4.778067254041135, 5.098436372717506, 5.286922851816002, 5.315398111570518, 5.5400612564436615, 5.562391542660642, 5.7941178240844, 6.071067549177239, 6.084821604993088, 6.189339642198265, 6.533608270730662, 6.564819925492923, 6.640398927623283, 6.749849077788654, 6.867242326681092, 7.170556688193132, 7.3503535824273705, 7.419462606795291, 7.545433977607004, 7.7699553687144345, 7.71520506387994, 8.01049357913532, 8.15055360231009, 8.336249038170573, 8.488655684097033, 8.545971898875674, 3.6782472113600733, 3.530398166363813, 3.737294757335693, 4.016858104060021, 4.013697367435658, 4.234494218933763, 4.3162889462047485, 4.476622554297833, 4.532546783012808, 4.884335575767224, 5.0328525543806855, 5.178827375151487, 5.204290030156342, 5.426807469301301, 5.739505825188497, 5.715435756445601, 5.717251981703885, 5.893951146619625, 6.035740854896593, 6.404482746503067, 6.458385610605117, 6.408142870897229, 6.842451830022789, 6.915468173948508, 7.02291291932587, 7.303895247215379, 7.2759894253420585, 7.581839688558626, 7.371470452228806, 7.665933732013563, 7.965246135376069, 8.20075049886942, 8.058041976854746, 8.284930145308952, 8.4903052620098, 8.526717852576256, 8.741334346198661, 9.072935106122573, 8.958608920200838, 3.944801712916158, 4.143252271200646, 4.309640040525518, 4.323792526837584, 4.5396361313066125, 4.6757089594898, 4.882312475619113, 4.881617202316855, 5.273688543810691, 5.319693049276235, 5.5479704545512405, 5.531533416701762, 5.61406726556246, 5.788090040060054, 6.101097334713768, 6.134466170993085, 6.164106225577711, 6.491712407478878, 6.589186783467251, 6.739364362109658, 6.745536723518876, 6.913350015171641, 7.1571692523290915, 7.266965183731168, 7.4505626030713055, 7.738557772479839, 7.696732419281436, 7.860442096754723, 8.04619968377403, 8.150504184011337, 8.37325667835601, 8.645549351314813, 8.662053234060767, 8.864672124096389, 8.754815822916443, 9.143191145643275, 9.430757721003102, 9.44117158968453, 9.592365392188702, 4.516335679324443, 4.792842584536289, 4.919711082207685, 4.830459656773485, 5.20127145987056, 5.366999071111882, 5.206792753034472, 5.528863664787658, 5.727283530171929, 5.54319882801502, 5.903738546583823, 6.048767535509004, 6.204435483949993, 6.52204218376707, 6.560587527167587, 6.757057375946036, 6.872610439863848, 7.259235699841255, 7.260856689391586, 7.308279849987832, 7.432488534414237, 7.538122577942909, 7.659372928044718, 7.785953248188228, 8.152830710129228, 8.114139223946555, 8.416889236188402, 8.451411810009485, 8.5757658036156, 8.766992046695831, 9.128384989696556, 9.40217018017376, 9.210993195749232, 9.351098299199773, 9.641723428978752, 9.710830965583515, 9.779602572533847, 10.043416378666878, 10.220528067381053, 10.26924533779054, 5.181550813106395, 5.523792078916173, 5.419779836293976, 5.597465497996108, 5.754852394986108, 6.120682803233432, 5.902814279496053, 6.3324609785984824, 6.397041973482443, 6.731146505865822, 6.735199884971575, 6.634371657060745, 7.1605666468421765, 7.125758329114881, 7.095266200420998, 7.408802141744957, 7.60299903204948, 7.644552195364105, 7.746440456962832, 8.079386567261311, 8.07552747162524, 8.247530450418578, 8.636110791654382, 8.617607645014749, 8.679263797707398, 8.861781591723322, 9.140351389898298, 9.29434847803702, 9.46918882535108, 9.633541452397823, 9.736997589234372, 9.915014286773976, 9.957253029431614, 10.04367028841178, 10.44192201056723, 10.544860228935294, 10.579435977205673, 10.69192353213572, 11.137790607407155, 5.729586719442094, 5.99364640060254, 6.05482389537298 ]
85
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
First identify the trend component for each time series. Then, check if they are equal.
Similarity Analysis
Shape
497
null
Is the two time series lagged version of each other despite amplitude difference?
[ "No, they are not lagged versions", "Yes, they are lagged versions" ]
Yes, they are lagged versions
binary
[ 0.0014136247803293504, 0.00670666546921326, 0.005158186488948192, -0.0012933077990762275, -0.010268632976809536, -0.010595275629354578, -0.02282968586792696, -0.016799365384118206, -0.02051916090270795, -0.02987044696738514, -0.015926073854641558, -0.009326814325599054, -0.01842665360436197, -0.011974126443083332, -0.025371914449742333, -0.02684480290480338, -0.022960160115984857, -0.02463023765531045, -0.02147445803208147, -0.013948339663815142, -0.011718355446261366, -0.02008492993991297, -0.018847050914760455, -0.018580600584888595, -0.012209208869145654, -0.016320323256895822, 0.0005734952469670825, 0.014919541096219032, 0.0032250898051625395, 0.02370472884251175, 0.024085948600185113, 0.027585738989021235, 0.03740566951679747, 0.027160065771248697, 0.028591034893186654, 0.01745515858771261, 0.0167161552531432, 0.011349730822689585, 0.017432718784603934, 0.021788016097894804, 0.010163976016974913, -0.012491502983834217, -0.02149380315837688, -0.004903087180295439, -0.0017557177609996608, 0.0005818868694388588, -0.0018586155975045034, -0.004742798006467314, -0.004336582433334999, -0.0017579630546267623, -0.0028114780867096595, -0.013062632029382931, -0.015735505737166245, -0.013418265917245261, -0.02428423187869381, -0.024898078885989456, -0.02779244007332972, -0.00428999569168206, 0.003280505892361246, 0.012451418145463602, 0.027297369485940495, 0.022659749282577205, 0.018340288614509065, 0.011960402785097062, 0.0182308193039611, 0.029211439946706295, 0.028958911902091617, 0.02003873440779208, 0.021928022809551626, 0.010743080217838031, 0.020238654720054105, 0.021951509265797784, 0.015920442596231824, 0.01958062069144801, 0.017436949697892182, 0.02079707790338173, 0.011113723425686667, 0.0013520603999617933, -0.008943112153975561, -0.0039572452509508554, -0.007457849022685898, -0.021116040670639213, -0.02089226566823136, -0.0028521797690133216, 0.001569350010225408, -0.008623554438382537, 0.013522308007606624, 0.020742910279468434, 0.014720461157125511, 0.021837522697608837, 0.025197807309054226, 0.012358107546633402, 0.009070207060041007, 0.006770639241751487, -0.0029607710734437884, 0.010531401808029351, 0.013111760627598775, 0.02274525906543605, 0.03654495859644077, 0.035493011620239365, 0.037750122466576816, 0.036432833517057894, 0.034235509871649375, 0.027734107122533793, 0.02341814321792333, 0.009000858393115858, 0.010360055549318016, 0.018855429908027667, 0.024291416409590684, 0.026712520687536667, 0.031591376892527646, 0.04131025631740809, 0.03894916941176911, 0.042180500006704036, 0.051108758528287196, 0.03554972684329369, 0.03015002033478944, 0.02100661017160399, 0.02084418649422427, 0.013553100094616483, 0.023996341350086506, 0.03798166430794218, 0.03263239517511733, 0.034690420925267015, 0.04156191352966812, 0.04279914896458806, 0.04538276871447356, 0.03760962198471642, 0.0382617532190176, 0.034076377976166444, 0.02847613622452952, 0.045283767361097224, 0.052743245278836885, 0.04678257790785769, 0.05315613171456357, 0.05226694282730728, 0.05510734692413747, 0.0517920607246622, 0.039137330746634086, 0.05032902502094307, 0.03922503753295589, 0.04834288004857155, 0.0416187764953508, 0.0410365445663229, 0.05366015812018975, 0.038308561994752924, 0.04174780650924122, 0.02706639456854555, 0.04241210860588559, 0.05457487289950676, 0.057124063058110484, 0.039849191408228415, 0.04535599041400348, 0.04156799025838547, 0.042711887167114215, 0.040069859091537055, 0.03273936120989987, 0.028009103379615756, 0.029124050898707184, 0.03418104764335975, 0.034999195197802334, 0.044516495678988355, 0.05601702043637028, 0.0560676369050329, 0.06038517593520011, 0.0692998682031664, 0.060340596170721746, 0.057350138065173216, 0.05747132854027464, 0.056667021226837255, 0.040107116658064115, 0.03987377164645126, 0.02764029208907488, 0.014670921903795545, 0.008842290339859829, 0.012045717729482522, 0.015015324979598422, 0.005373565193940041, -0.0015326859953286283, 0.010221663910160762, 0.0015736674576946937, -0.00350009057551313, -0.0127847399760498, -0.025977621625570605, -0.01971805735438177, -0.0129702717590496, -0.021253001543620822, -0.023247246026891325, -0.014370741012411276, -0.019064448126290753, -0.018376958681784968, -0.018356726519141494, -0.007861966164465045, -0.009785209930953128, -0.010293339240174018, -0.003305411294692877, 0.012888950190743381, 0.01684420122424424, 0.02957122797688756, 0.01926302035476138, 0.0133347728320243, 0.027233940620399147, 0.026905585538674958, 0.026457320260263914, 0.017398557237529762, 0.0063188080424149175, -0.002224141985449119, 0.0003955224632857428, 0.015576325841056653, 0.0012373613384684904, -0.0005806166895449875, 0.010697678189897052, 0.015727875038081363, 0.012560210183493719, 0.0013405073005258832, 0.003250668056724991, 0.01305229250919237, 0.022673211549727505, 0.022747065129495488, -0.00021304260697659755, 0.005873018660803928, 0.0058007306629359575, -0.012960758343647485, -0.020911171325092605, -0.023095949455088076, -0.017440560968744807, -0.01697992634002981, -0.007925929895748437, -0.01189100814753941, 0.005355249474939719, -0.005799596878201302, 0.003503213535253966, -0.0004888403146608164, 0.0005100654214462495, 0.0033499750799794417, 0.00685998611459605, 0.00957229207466717, -0.011647638214274605, -0.018011037690585156, -0.022351428173682984, -0.018670941449148503, -0.016244054025983442, -0.01112280129515988, -0.01815286142702069, -0.014643559033856838, -0.01861190802188489, -0.03451334073081601, -0.041696370565860445, -0.02875759420084864, -0.028186040924201062, -0.03229239357088398, -0.024140568738569526, -0.027774572141711182, -0.03171012309462863, -0.04372860020319683, -0.04357322623504422, -0.02510256271514696, -0.015975497430214633, -0.00942730487808893, -0.014126198412108569, -0.0272503577765653, -0.02585255162394777, -0.019099792223797225, -0.011000960591726802, -0.011764965331941095, -0.01595998073723287, 0.009527314106640098, 0.011617137350382351, 0.037345047222273345, 0.04249261999127201, 0.02390589539162937, 0.022665348686141697, 0.0220923953880913, 0.03309486067972259, 0.026108141944566763, 0.02733088847452714, 0.010338377811449747, -0.003170471013393187, -0.01983892903347841, -0.015108541730091123, 0.01667709797877065, 0.003401087100914673, 0.004823654720380044, 0.009145760941922102, 0.013616825650735744, 0.013678118823270576, 0.006767614587820638, 0.00706995225146932, 0.014128346649606167, 0.00796058872383355, 0.020203134920920678, 0.007840198237193298, 0.026238805301722082, 0.020412144661013206, 0.01914063450606178, 0.017995595277788955, 0.01631616024453092, 0.000017837784661311334, -0.005924975396833965, -0.012856473043502648, -0.005370850040470315, -0.010596751437696669, -0.010729398367067754, -0.014968218359799303, -0.013885922128005638, -0.01758849459323389, -0.026951901528407936, -0.031615280785732426, -0.01462022854746374, 0.0003809007429852306, 0.008457959044116531, 0.028616938061131397, 0.02843512477221842, 0.03356378477466617, 0.04718503509126887, 0.05160915261352318, 0.05018571177615552, 0.049036588679506894, 0.052608438243910635, 0.06425285267138227, 0.05912436115780723, 0.06639802601193152, 0.07052692578550006, 0.07296005957219087, 0.08258939763152542, 0.0649075854907392, 0.05879718386489821, 0.046264760577106843, 0.04958521924899795, 0.05078251170062173, 0.060282322810364886, 0.058115173086343744, 0.06784485408343656, 0.058038610977263635, 0.06383417653883126, 0.07620930248333657, 0.0687901689738263, 0.08160847170375529, 0.06522074784290487, 0.07145772220923982, 0.07350297424992999, 0.07710503163867889, 0.0807910081077485, 0.08989888190815898, 0.08865226401506414, 0.0800678331056794, 0.08846280463613343, 0.07797084560781772, 0.08625832841488797, 0.08383272430724482, 0.09271893507238617, 0.09710380084763053, 0.09351405836582985, 0.09879318623440815, 0.09412006712379876, 0.08570423699907936, 0.07317127596207587, 0.07778469993153585, 0.06814011033562821, 0.060808522896140874, 0.052748127355816264, 0.06808669853225197, 0.06594238106452505, 0.06703136904118268, 0.07223390374483232, 0.057032598911944093, 0.055989756724000576, 0.04831989079609918, 0.0439853340857068, 0.047511214753792934, 0.05484650778281892, 0.062034877139710135, 0.073662758751633, 0.0658301599160582, 0.07362775080023912, 0.08148729097912139, 0.08404022618640129, 0.07488035374742305, 0.06667781795970656, 0.06523776465657893, 0.06972709233593638, 0.06006021439526064, 0.059157224085132576, 0.05602647671836861, 0.06310562495653042, 0.055337729439580964, 0.039780768523775975, 0.031031829258811615, 0.033586700957201655, 0.030032531400198598, 0.02431799456674581, 0.0318715630753823, 0.037695506107807156, 0.040869663765615884, 0.03759279799943161, 0.02391399947448348, 0.004108531518483061, 0.002519110665941507, 0.021631701099483674, 0.019189353189971822, 0.03186700023643241, 0.014995566581375366, 0.014720059385580284, 0.01476768594210059, 0.011290355164597046, 0.004307283370085853, 0.009218090081812513, 0.024822180499147764, 0.020888125573229416, 0.008859479586270981, 0.0001336229737063134, -0.010507046374340127, -0.015075137463294034, -0.018690734329843105, -0.034629422730611197, -0.050001733158737904, -0.06455744831442481, -0.06756016659087899, -0.057933823465856946, -0.06552748355069891, -0.05130456498325802, -0.05104558840596746, -0.05094035864734404, -0.04679739909628586, -0.04599702891396654, -0.06927518648279998, -0.06328799473289795, -0.053393313251833115, -0.05939668859212522, -0.05010495905369436, -0.04060670696919806, -0.047970659586242595, -0.0473735885359229, -0.05702517407012751, -0.05081644794596872, -0.06563161097452934, -0.06981986461520706, -0.0714646528020546, -0.05231670481902241, -0.05573828574209793, -0.060568550038636315, -0.06631089471528515, -0.05338434070317291, -0.030495763191018137, -0.03374288316547955, -0.034765750798377834, -0.01902695248394548, -0.030119101324694315, -0.03624393236668274, -0.031316771163072805, -0.035775724576403024, -0.04117275324568366, -0.0583580539502827, -0.049630934349688585, -0.05091099682066176, -0.034701825811955425, -0.038470817599955257, -0.0441227048839146, -0.04925435919400731, -0.046038633484312745, -0.06300550434839339, -0.05055493156623052, -0.05823921716301809, -0.06438098250315498, -0.06559750260801996, -0.0754662164956499, -0.0804371667783095, -0.06972217399708303, -0.08829259000185258, -0.09921455519495362, -0.09451366464191349, -0.0994211298926719, -0.09832310823894963, -0.08967658144197733, -0.09053963161394385, -0.07465883390623193, -0.08088794445477947, -0.07951499953324974, -0.08385517965934135, -0.08282930219012216, -0.07527800062852158, -0.0749250827753923, -0.07454745461161959, -0.08254171163971466, -0.07836847367649367, -0.07201683058707743, -0.062287201006305755, -0.04588737872907768, -0.04045544642172089, -0.021850373862448563, -0.027347887186125693, -0.05438235338199465, -0.04920665698727074, -0.0442403309309621, -0.02763343778649223, -0.03687293588808603, -0.03229679387706808, 0.001093302370217937, 0.0022029175513860943, -0.00023945604462059442, -0.007403960958762507, -0.010850953350497499, -0.016446380393598026, -0.019917880573629424, -0.020054916679506363, -0.03356860408192599, -0.03103516438382372, -0.03568368066052897, -0.04395318717758126, -0.056598539813050394, -0.06272705055838407, -0.05678023746175609, -0.048446697049800466, -0.0536718503084415, -0.04200079673679417, -0.03640929409378833, -0.03322531337631415, -0.03380906023050711, -0.03371021725696507, -0.02057609450116843, -0.01573116208087258, -0.016943227689140854, -0.02037628519660912, -0.021267022539487538, -0.015018114217341883, -0.023418169264422525, -0.017434992675682007, -0.008128361698905802, 0.007660633422379642, 0.015812700250471563, 0.00642258709244024, 0.007226624834223993, 0.017352191571864083, 0.013912764467356752, 0.031408155385046446, 0.02290768535238525, 0.015753063944266413, -0.013910539038915423, -0.0023818426150614067, -0.00267674975678826, -0.006998717068647291, 0.01255930333194203, 0.013434723045429421, 0.022304464958442384, 0.02129006157780818, 0.015050249642101297, 0.01755874750784672, 0.004904695025117003, -0.0013946389168905463, -0.011284424749892826, -0.010711371402749323, -0.00014305631673749812, -0.0039774418207536005, 0.0008371686567537687, 0.00637085242780829, 0.0024584898915899853, -0.0024805399813556906, -0.014277382581496155, -0.013293088257866924, -0.006246809509019492, 0.00016569112333858754, -0.008328427207858344, -0.004242374111506462, 0.0029632482129631505, 0.0028034857889537097, -0.001488414912406259, -0.011130792038222809, -0.002261458079098144, 0.01157217553454856, -0.00730934713764758, -0.018572083063803972, -0.020363866545155946, -0.01564884215928253, -0.016960399977863867, -0.01607587351843648, -0.008905820980541355, 0.002016627596689668, 0.001043886519835479, 0.006520955427910575, 0.0021879632557253595, 0.009431643127498068, 0.022346010133644394, 0.03485827270292033, 0.027134986191190952, 0.03992455085692752, 0.042267707976160494, 0.03839970312402718, 0.03765592553481502, 0.037051010849979304, 0.03296436920367765, 0.038409749586012475, 0.047685460452759156, 0.0404961172591534, 0.0364296075254605, 0.04039202449657175, 0.056561572418336245, 0.04889475302465892, 0.04533213077447733, 0.02936854366579946, 0.027247129239961275, 0.03219456490027259, 0.02619470104666021, 0.023929761350157827, 0.02778670889237577, 0.02458023622285456, 0.030666680197711113, 0.028157947451215443, 0.03538512970995772, 0.03253581529231328, 0.03545568521979726, 0.038880782265197894, 0.052017068244929895, 0.05838986652387479, 0.04237147413998683, 0.03108390564608977, 0.01893344467798691, 0.01342313708803276, 0.016020474640038543, 0.010655083993004563, 0.00830634664063678, 0.007046706428704701, 0.011207710646745202, -0.0006528701058037042, 0.0074134891710439625, 0.010812290458895424, 0.007973417413896892, 0.010436468392018842, -0.016398803887851268, -0.011946841674156258, -0.00473570626583415, -0.0033098251854796, 0.011261285988906303, 0.013556831909022831, 0.006912675460310576, 0.017774549774303365, 0.018877593134166967, 0.00668663350657883, 0.018722240945167938, 0.023011256806461038, 0.021789480208471004, 0.021272323983602636, 0.027158993134124593, 0.018352548958309903, 0.02933364798856175, 0.032574304218115226, 0.048999745480894766, 0.03795556672647534, 0.052185994476063834, 0.05271090198263743, 0.04068029263571752, 0.0384664619023375, 0.0341077654346209, 0.04399259151133556, 0.0536411148542074, 0.05309137079171196, 0.051564238256485, 0.04404293960138804, 0.04489351918936466, 0.02784189828295635, 0.038209971089444635, 0.038813308367054974, 0.034701952313596046, 0.03105876838892589, 0.03239943120754814, 0.027654903084775, 0.040422165765855195, 0.043583873138983945, 0.036842438305738634, 0.02820569627229899, 0.033077086605870956, 0.0443038158663136, 0.059747800468777486, 0.06826347170511843, 0.06790832698609423, 0.07036807383188329, 0.06641472713198512, 0.06586914404132875, 0.06729355814950218, 0.06537169014554903, 0.07090040782115961, 0.08026676083275085, 0.08410011483267754, 0.08660671940667938, 0.07624399673707669, 0.06881933234511695, 0.06628352113676449, 0.06722281425089525, 0.056422186633668756, 0.056823634598416266, 0.0530805912575955, 0.05665991562923657, 0.05166669574520719, 0.04262825536016623, 0.045237760719520896, 0.043419047287824954, 0.047801368562538846, 0.0586729536445174, 0.06502545828600237, 0.06525369955073917, 0.055532445511026964, 0.059535942269159786, 0.07223473199382822, 0.06682923755343811, 0.047689961761412554, 0.04822226866795062, 0.04097995619576759, 0.027865009069460236, 0.020188458688482284, 0.022007660460404962, 0.026720813310732942, 0.046056620836336784, 0.04967408917815368, 0.037332909644709554, 0.022249541912648857, 0.019982332007860308, 0.022877745647886277, 0.01438488958706672, 0.02871346637847682, 0.031875019364514215, 0.03401477080863556, 0.037670498840276165, 0.05773156416967117, 0.06101715844880122, 0.061763082187692414, 0.056193101105730565, 0.049367666792982184, 0.041540297595025255, 0.038464577196651466, 0.04599869307736002, 0.06065741659016624, 0.06517210546014056, 0.0700784253861507, 0.06151096633790076, 0.06188367098798933, 0.05718432810523369, 0.04725213743749541, 0.0568185492749393, 0.053768057183125315, 0.060666176783581056, 0.06150168815102935, 0.06116694999076953, 0.08286669665330859, 0.08234493775671074, 0.07284831876452856, 0.0826157188339902, 0.08418614657022393, 0.08458379009631985, 0.0763417409273685, 0.07324677449033717, 0.08278710579715684, 0.08163988328768584, 0.08995988516923124, 0.08855423872742935, 0.08888392240808522, 0.08680709450745581, 0.10632964977311876, 0.10850816033107794, 0.11869383183525982, 0.12650164956030657, 0.12818323952507507, 0.125269200551247, 0.13312612234801446, 0.14762486106449735, 0.1474983027941147, 0.15039312715647984, 0.1507453143373847, 0.1501071521610984, 0.15334009579839375, 0.15371850859946018, 0.14242202766798603, 0.15142317951759143, 0.13978838233606228, 0.14174870283840757, 0.13773606450552625, 0.1522798902176929, 0.1541093368438656, 0.1600408841806453, 0.1748950175286549, 0.19115098465700664, 0.19952923461112995, 0.1905433986571646, 0.18336047280606022, 0.17528404633513986, 0.15622584721427166, 0.15337080456865562, 0.1522481475729208, 0.16431926733164184, 0.17199381295681115, 0.1760863430205148, 0.17725049563338804, 0.17681669361624214, 0.18838418513680308, 0.18659774797760723, 0.17690316695744315, 0.1789018338759949, 0.18135132469030113, 0.17938611328377377, 0.18442661687170311, 0.18317518846084926, 0.17317523716097172, 0.17529341655443734, 0.17471715219005368, 0.1925745538391777, 0.1910126822390425, 0.1895477868462082, 0.19055236590356525, 0.19345010924133973, 0.2000036963611945, 0.20662157624918376, 0.2125487622557162, 0.20635712289911076, 0.20069061441268274, 0.19230244600638915, 0.20194542909930843, 0.1950742978471926, 0.20306926651925378, 0.2154352192054236, 0.21768025455290116, 0.21556820179990704, 0.21150773367219505, 0.2049867986877541, 0.20153935141475998, 0.1967792090048433, 0.18698351000469596, 0.1890075803862323, 0.2040854572775041, 0.19804073840552908, 0.18978735407695183, 0.19690175249726513, 0.20029979754850444, 0.2002925045104292, 0.20434050974346565, 0.20422110627880552, 0.2066431465012234, 0.21647643675794764, 0.22266428170116, 0.23005805325675843, 0.23571561837818542, 0.23489876244888855, 0.21252273891087411, 0.2224196398042719, 0.2132664159187646, 0.20644336854260154, 0.21903419133312332, 0.21544970908988542, 0.20864796140079034, 0.20691682888461982, 0.19757402495335494, 0.1893178355425971, 0.2168796121805682, 0.19748528950388175, 0.19631837439347627, 0.19474836432053866, 0.19130703253099055, 0.18854814245762272, 0.18092669859974186, 0.174482850509747, 0.16944198555272139, 0.16676032264756568, 0.1503638948074265, 0.14293478285335617, 0.153393184007108, 0.15184757665185378, 0.16810162226604236, 0.1634935542731362, 0.15276072953670067, 0.14796755060217032, 0.13410171203676843, 0.1319790678083046, 0.13667492636520773, 0.14862585190059274, 0.14666974525632254, 0.16353958698440846, 0.1706884985400054, 0.15783780771553993, 0.13952119929368892, 0.14098074416793419, 0.13883821551311712, 0.15747788078566538, 0.16578653331686266, 0.18061187608538531, 0.19204194569032865, 0.18308213229848858, 0.18418656661170318, 0.18769315104056916, 0.19176460309791094, 0.1919274642188034, 0.21313050244113307, 0.20532342472208998, 0.1975484767946366, 0.18473837711432922, 0.17639853403442599, 0.17395120955184806, 0.1688020376943057, 0.15946285073539643, 0.16350903409046463, 0.16208591369556619, 0.16059589115500553, 0.1645861157280971, 0.17298182154055125, 0.18741607327166598, 0.18797600029795644, 0.182460385861663, 0.17444056735933602, 0.17381941397232234, 0.18290016516901864, 0.19082999472141862, 0.1776699728177243, 0.17411959034933394, 0.18667776937251684, 0.19395532646324898, 0.18762382428770963, 0.18309523829182028, 0.18067199678921128, 0.16644822220204342, 0.18509700898903775, 0.19969112382796078, 0.20584457057129968, 0.21459397260196578, 0.20522309133679925, 0.21354408164716532, 0.21539505613468166, 0.22074564563430693, 0.2372008395150823, 0.24271239190046065, 0.2609859868032366, 0.25297822261816566, 0.25374892976737656, 0.23101316259309285, 0.24432992132395145, 0.25282076652880364, 0.26280279559368824, 0.27141040876609257, 0.26801551089716064, 0.2556797104977642, 0.2549862309928689, 0.24268584700102033, 0.2521581094998761, 0.2567360788770591, 0.2521864934729702, 0.25315054175078283, 0.26091731040301763, 0.2746744118617591, 0.2714327850092288, 0.27178334859495473, 0.26724739284296595, 0.2797842844333808, 0.27128869499815966, 0.28310947346812443, 0.27883894163453593, 0.28521263412079967, 0.28739661039947184, 0.27808711915094403, 0.2798787919134131, 0.29037398128831826, 0.2969773026538425, 0.30120444023571435, 0.2991603643263198, 0.2838858236726907, 0.2751563138255598, 0.2687682750594206, 0.2654775283926891, 0.2592711214216095, 0.2605730648577433, 0.2579697355348036, 0.26552804310916506, 0.2795996368737538, 0.2755966212426012, 0.2685700413068988, 0.2682864893212073, 0.28243837084206536, 0.2854874038004434, 0.2927584085311375, 0.312242929628245, 0.319942023110387, 0.3319542521951984, 0.3396079425460481, 0.34652713204622954, 0.34676007578559304, 0.3379335726550053, 0.3348716844652097, 0.3335605548998642, 0.35023943447476197, 0.3437872660204803, 0.3516948926231471, 0.35166190438190864, 0.3558419968372937, 0.34771217883078626, 0.34557019368927566, 0.3472829898834226, 0.35701692393360196, 0.3623448948286019, 0.3576798453116441, 0.35020621089278153, 0.3485667345087012, 0.3476129548789837, 0.3540504240363616, 0.3545231899756447, 0.3609784975742564, 0.35944535974710085, 0.36223693557916603, 0.3607715617365062, 0.36960806133067303, 0.37114631486766253, 0.35176767529066955, 0.3503842290368986, 0.34511312751967216, 0.3511384212123158, 0.34357873695522434, 0.33051942229177633, 0.3297002044656348, 0.3277848360726588, 0.34073445688272513, 0.3499437779692913, 0.35284240832310826, 0.34692944609063286, 0.34485979286946555, 0.33119534585992355, 0.32992691936933144, 0.31369808318343007, 0.3126005994117409, 0.30789755081383013, 0.2940730478988253, 0.2935663528948634 ]
[ -0.02136251829935064, -0.007649579013928568, 0.002535253492227414, -0.008097900007308464, -0.020664145971228013, -0.01889428398521344, -0.00765936165177134, -0.012249476680106562, -0.056913268213306015, -0.06855885218820358, -0.05846274819560371, -0.10580524653510477, -0.10847974883215851, -0.12109034325070624, -0.01869130776136256, 0.014293008584128826, 0.05425023830991827, 0.11893334418181853, 0.09872745291030804, 0.07990776764430572, 0.05211090767283578, 0.07943081505019393, 0.12727285839822536, 0.12617260568482058, 0.08730781541120618, 0.09553935537189423, 0.046807090982854634, 0.08817885872984692, 0.09564168474783553, 0.06936461331190744, 0.08531183567665983, 0.0759719628284548, 0.09061188205453095, 0.04842196586046581, 0.005890863036677794, -0.03896471549807041, -0.01724152987289168, -0.03249349447857909, -0.09200158770360303, -0.09102661063138484, -0.012426811979491132, 0.006837583562914804, -0.03757241768731777, 0.058916054648766425, 0.09037587628622021, 0.06413635109482708, 0.09514505067642794, 0.10978565135583561, 0.0538436884563802, 0.03951846197589945, 0.029499354056254496, -0.012899939142591346, 0.04588481819086995, 0.05712731918564548, 0.09910001497863853, 0.15922465133863603, 0.15464136825540623, 0.16447549316191895, 0.1587361276856692, 0.14916249277799723, 0.12083618935072235, 0.1020317393172595, 0.03921631312319747, 0.04513827066833016, 0.08215221382787923, 0.10583654919547221, 0.11638518570557006, 0.13764213079475365, 0.17998682749881686, 0.1696996838333374, 0.18377843797888158, 0.22267843690510114, 0.15488847379234605, 0.13136220863381093, 0.09152480420941149, 0.09081713195055048, 0.059050214311451375, 0.10455092115612738, 0.16548430998310684, 0.14217779807824682, 0.15114451866294146, 0.1810832860369546, 0.1864738621469004, 0.19773057086040263, 0.16386333922615526, 0.16670464408451546, 0.14846916265673685, 0.1240691749549227, 0.19729922665921, 0.22979981815628256, 0.20382947312537641, 0.231598744774233, 0.22772459096519404, 0.2401000968994836, 0.2256555521668306, 0.17051949384516776, 0.2192811749950545, 0.1709016281533862, 0.21062763554995467, 0.18133103528151898, 0.1787942783810277, 0.23379476391841972, 0.1669085877003326, 0.18189321293236252, 0.11792699742148147, 0.18478754566070843, 0.23778013282851698, 0.24888683344574228, 0.17362103698537773, 0.19761389907530436, 0.18110976205576704, 0.1860936666339875, 0.17458247561565557, 0.14264384401857483, 0.1220343350002175, 0.12689210846080912, 0.1489252034323914, 0.15248983352373227, 0.1939562603306699, 0.24406350124799392, 0.24428403480130279, 0.26309534758211084, 0.3019362389847463, 0.262901115662622, 0.2498718315291564, 0.25039985268131243, 0.24689552386361185, 0.1747448050659501, 0.1737281319175152, 0.12042744169943147, 0.06392051091763207, 0.038525439635777606, 0.05248262083917859, 0.06542105878444529, 0.02341236869081754, -0.006677840188922232, 0.044535304860205197, 0.0068563944767691945, -0.015249728634088572, -0.05570250571688729, -0.11318326534761312, -0.08591064069867195, -0.05651085889595631, -0.09259831973135954, -0.10128714836130003, -0.06261263701094673, -0.08306289629146818, -0.08006753738822708, -0.07997938681516699, -0.03425421369871299, -0.042633695573077314, -0.04484759087363234, -0.014401520240866307, 0.05615654467979163, 0.07338938584183607, 0.12884043778158266, 0.08392806607296714, 0.0580989727832329, 0.11865698762297952, 0.11722636010523771, 0.11527328954767066, 0.0758046886995457, 0.027530746950340582, -0.009690481143280001, 0.0017232726135693146, 0.06786531293048942, 0.005391124665735472, -0.0025297193786723176, 0.04660927650045778, 0.068525605594202, 0.05472424005979171, 0.005840526730379651, 0.014163006549420133, 0.056868219414221835, 0.09878610736978917, 0.09910788391408692, -0.0009282165343437152, 0.025588463757703746, 0.025273508379491424, -0.056469409396254625, -0.0911089816816657, -0.10062795637369577, -0.07598769696428316, -0.07398073373409932, -0.0345329006422223, -0.05180855852826829, 0.023332567971816952, -0.025268568533176036, 0.015263335221562653, -0.0021298540661014256, 0.002222330849694363, 0.01459568253977432, 0.029888634143666017, 0.041706022571576, -0.050748207271661044, -0.07847323698458802, -0.0973841124620087, -0.0813484063625207, -0.07077457296298821, -0.04846151770721248, -0.07909115627777583, -0.06380129219108412, -0.08109120051978953, -0.15037298865433485, -0.18166910896657296, -0.12529547400866564, -0.12280524349012487, -0.1406964272143076, -0.10517931304728491, -0.12101249352009029, -0.13815950236537458, -0.19052343711120637, -0.18984648010109204, -0.10937067517747291, -0.06960448461241216, -0.041074320232584026, -0.061547176499672965, -0.11872851639375728, -0.11263834128240272, -0.08321688884799265, -0.047930663541054644, -0.05125939595870565, -0.06953687911702133, 0.041510055698111586, 0.05061531645428728, 0.16271059953452777, 0.18513832994831717, 0.10415685240482968, 0.09875184924606824, 0.09625551890067605, 0.14419273834784915, 0.11375193618711969, 0.11907938482534117, 0.04504382179257684, -0.013813591835234642, -0.08643727287175511, -0.06582719974522795, 0.07266132492673413, 0.014818375190831746, 0.021016434838847534, 0.03984764665586156, 0.05932786353706681, 0.05959491498276876, 0.029486175782532043, 0.03080344664368135, 0.0615565362685627, 0.034683907512379084, 0.08802410064966704, 0.034159371872006246, 0.11432123023710167, 0.08893474617426897, 0.08339483673473841, 0.0784059551244427, 0.07108873633732264, 0.00007771838175314241, -0.02581483679236582, -0.056015043289600344, -0.023400538895925117, -0.04616954342790719, -0.04674747980795575, -0.06521581747616846, -0.06050030412573742, -0.07663223674993855, -0.11742815667581463, -0.13774627892372535, -0.0636996423683952, 0.0016595664717036385, 0.03685092640841243, 0.12468264187900227, 0.1238904900023076, 0.14623581838923547, 0.20558295998563011, 0.22485863020162264, 0.21865676598462183, 0.21365009115350378, 0.22921247029878034, 0.2799466316842396, 0.25760203739533905, 0.2892930501870412, 0.3072824706736922, 0.31788351918285185, 0.3598380884040283, 0.28279927152529893, 0.2561765414476044, 0.20157336757450198, 0.2160404485241491, 0.22125699495030224, 0.26264722139535485, 0.25320505283206923, 0.2955968114739613, 0.25287147535401955, 0.27812247963182124, 0.3320403164405753, 0.2997155036166906, 0.35556424066040443, 0.2841637050409199, 0.311337906545814, 0.32024897268422914, 0.33594296588747113, 0.35200259054352934, 0.39168516472074827, 0.38625370968552863, 0.34885175135849095, 0.38542824415726795, 0.3397152762869055, 0.3758234458159091, 0.3652552037612401, 0.4039720026068972, 0.4230766548228118, 0.4074363170850679, 0.43043722682828817, 0.41007666850156005, 0.37340929579685694, 0.31880377897594186, 0.3389042484039224, 0.2968832289612518, 0.2649398502122938, 0.22982108913413302, 0.2966505162671737, 0.2873078267616664, 0.29205249572709147, 0.31471969268340294, 0.24848832849888625, 0.24394471454627123, 0.2105274724672742, 0.1916420144608451, 0.20700410930509347, 0.23896363313192143, 0.2702830174876014, 0.3209451461798384, 0.2868188845402571, 0.32079261819598365, 0.35503626199057287, 0.3661592796072589, 0.3262501498280084, 0.2905120904334345, 0.2842378464910189, 0.3037976342687015, 0.261679505564975, 0.25774521961106206, 0.24410470182016505, 0.2749482149417154, 0.24110386259261485, 0.173322921723001, 0.13520420829305815, 0.1463356631096665, 0.13085031491810165, 0.10595234896563971, 0.13886288870469096, 0.16423753227712176, 0.17806718664722357, 0.16379003792020275, 0.10419216150946196, 0.01790067696527572, 0.010975645694315838, 0.09424829573516959, 0.08360710172988904, 0.13884300863179405, 0.06533497238049511, 0.06413460059525987, 0.0643421072431712, 0.049191541969551375, 0.01876662935624231, 0.04016278128791436, 0.10814906316042237, 0.09100857243381913, 0.03860033236713389, 0.000582188958925011, -0.04577870272142335, -0.06568165893910136, -0.08143464300496397, -0.15087875242186805, -0.21785517987433034, -0.2812737404545158, -0.294356441571138, -0.2524149211367164, -0.2855001379718187, -0.22353155634263747, -0.22240320767820693, -0.22194472661075557, -0.20389404834041386, -0.20040687341626312, -0.30182870189972244, -0.27574279140785624, -0.23263213348299414, -0.2587885551106293, -0.21830493020282465, -0.17692149635683066, -0.20900588864937927, -0.20640447840121426, -0.2484559788152392, -0.22140485356173992, -0.2859538162188589, -0.30420183868945033, -0.31136810281000166, -0.22794140160296908, -0.24284906740496806, -0.26389429985365637, -0.28891342326004416, -0.23259304051403454, -0.13286859386039593, -0.14701614158367324, -0.15147272734731582, -0.08289952955612521, -0.13122749597326325, -0.1579130943327492, -0.13644568665560783, -0.15587313519681023, -0.17938773313685347, -0.25426327323681946, -0.2162396270496677, -0.22181679852448305, -0.1511942092133282, -0.1676155276766881, -0.1922405325133701, -0.21459890695669204, -0.2005881425560266, -0.27451199420061473, -0.22026543909850357, -0.25374550699093695, -0.2805048872842904, -0.2858052076836801, -0.3288027260355458, -0.35046092065326406, -0.303776205299586, -0.3846866270687007, -0.4322731114045621, -0.41179155422031616, -0.43317314756502945, -0.42838911929708584, -0.3907166121329329, -0.3944768807991697, -0.32528499838625297, -0.352424937610015, -0.3464430817033835, -0.36535304066530494, -0.3608833411875637, -0.3279826784292304, -0.32644503208144765, -0.32479972408216, -0.3596303227993754, -0.3414477229232946, -0.3137739152304804, -0.271382380607061, -0.19992913276122665, -0.17626246132550658, -0.09520104259212545, -0.1191534474055557, -0.23694133442159437, -0.21439107070437644, -0.19275302362155003, -0.12039757782816693, -0.16065363284292192, -0.1407155991396526, 0.004763466573542915, 0.009598007290706692, -0.0010432986294135892, -0.03225870673988531, -0.047277089105610286, -0.07165609935068488, -0.08678126098765403, -0.08737832080156732, -0.14625681588239484, -0.1352187392745565, -0.1554721042208354, -0.19150195190681604, -0.24659715359170103, -0.27329878424414006, -0.2473888016294972, -0.2110799613004429, -0.23384570622809173, -0.18299547935490879, -0.15863356753491906, -0.14476111455974613, -0.14730447191733118, -0.14687381776956487, -0.0896490678519595, -0.0685399270837444, -0.07382083945273157, -0.08877850818861459, -0.09265940854535852, -0.06543321136100469, -0.10203185280062116, -0.07596343617550334, -0.035414886407578235, 0.03337701649032097, 0.06889518502146863, 0.027982907349234733, 0.031486061656025785, 0.07560267569328605, 0.06061725492520311, 0.1368438433765467, 0.09980769860727, 0.06863535246378272, -0.06060755883903258, -0.01037757530702453, -0.011662471736577612, -0.030493078330690943, 0.054720288950591445, 0.05853445112256813, 0.09717949596059189, 0.09275978854261863, 0.0655732238825522, 0.076502630109761, 0.02136952360298081, -0.006076375615508768, -0.049165703433954704, -0.046668937179409016, -0.0006232895871042538, -0.01732952536963283, 0.0036475041319717185, 0.02775750186912165, 0.01071152385560785, -0.010807595050918276, -0.062205878755283245, -0.05791735507065861, -0.027217052755106323, 0.0007219083659343092, -0.036286562341313125, -0.01848382279514911, 0.012910731921990637, 0.012214654617845159, -0.006484953180332637, -0.048496332995750124, -0.009853065593469105, 0.05041941995516293, -0.03184647880866233, -0.0809176850662619, -0.0887244007132289, -0.06818126308967229, -0.0738956583002449, -0.07004181846812532, -0.03880223962407534, 0.008786350793514282, 0.004548164057137399, 0.028411493521433913, 0.009532852133770017, 0.041093221779503745, 0.0973605063185291, 0.15187584089724881, 0.11822584786816193, 0.17394937452918752, 0.18415839896567573, 0.1673056852779097, 0.16406508159783517, 0.1614294970060943, 0.14362419317571307, 0.16734945723629283, 0.2077632895513082, 0.17643966223525043, 0.15872207219328271, 0.1759861350056272, 0.246436088406233, 0.21303211993235824, 0.19750994375751157, 0.12795735185114854, 0.11871444981289762, 0.14027019233630345, 0.1141290700895879, 0.1042608352542158, 0.12106537276711019, 0.10709492342362388, 0.13361327115225044, 0.1226828415607528, 0.15417133188896703, 0.14175700410949132, 0.15447873889900848, 0.1694017242792142, 0.22663589926090785, 0.25440187911114326, 0.18461050322001205, 0.1354311026425334, 0.08249212048048205, 0.05848397165569339, 0.06980044818242136, 0.04642369560476848, 0.03619035835717302, 0.030702165696406266, 0.04883146372496167, -0.0028445240864532688, 0.032300220708888494, 0.047108636720616104, 0.03473980150654182, 0.045471197799844765, -0.07144881077162009, -0.05205182255564743, -0.020633247593638677, -0.014420751353680627, 0.04906488894976903, 0.05906647364982614, 0.030118199123976966, 0.07744287034957326, 0.08224877795300355, 0.02913334505235827, 0.08157191583362838, 0.10025895452045795, 0.09493573182982903, 0.09268250668592941, 0.11833044497991478, 0.07996118538075844, 0.12780531304046724, 0.14192469853374523, 0.21348956708456182, 0.16537060405842036, 0.22737190283807077, 0.2296588999487298, 0.17724210561581127, 0.16759655010875094, 0.14860591632456843, 0.19167363472010213, 0.23371179331172476, 0.23131658450487042, 0.22466294047821986, 0.19189299896053535, 0.1955989338837871, 0.1213058303243296, 0.16647903180190557, 0.16910774370517925, 0.15119476037497664, 0.1353215808052883, 0.14116278512063787, 0.12049110111472189, 0.17611745908634538, 0.18989286815659262, 0.16052075632308346, 0.12289088090956737, 0.14411529755107208, 0.19302962447389257, 0.2603183329045562, 0.2974207085972979, 0.2958733599004275, 0.3065903602458655, 0.28936581617500867, 0.28698873652510926, 0.29319484123685013, 0.2848213534946004, 0.3089097141894347, 0.349718470030533, 0.36642021159866656, 0.3773413688435442, 0.3321914776586307, 0.29984256704223416, 0.28879415787671253, 0.2928866134258842, 0.24582879115327058, 0.24757788089567223, 0.2312696185859802, 0.24686456511187224, 0.22510934289719572, 0.18572928681763134, 0.19709877790387972, 0.1891747297405064, 0.2082682956882912, 0.25563527626943605, 0.2833128377037517, 0.28430727406910977, 0.24195223128084856, 0.2593952767769007, 0.3147233013249956, 0.29117181842174567, 0.20778290153962156, 0.21010213748498463, 0.17854772553440967, 0.1214065229250212, 0.08796015700100204, 0.09588633283958209, 0.11642131627153103, 0.20066651259568544, 0.216427650590529, 0.16265771668474724, 0.09694019885497739, 0.08706207282977463, 0.09967725273475792, 0.06267428167967734, 0.12510321117950018, 0.1388779475925127, 0.14820074314972936, 0.16412857679854198, 0.251533686976054, 0.2658488654200008, 0.26909881977243866, 0.244830676373186, 0.2150925827914363, 0.18098910643492314, 0.16758833853546534, 0.20041412409724008, 0.26428148720388084, 0.2839517724862424, 0.30532837570534826, 0.26800036297232804, 0.2696242194560079, 0.24914940539778802, 0.20587532172558748, 0.24755572438247145, 0.23426487501815849, 0.26431965495110793, 0.26795993835217813, 0.26650150006399526, 0.36104626709011034, 0.35877298832378235, 0.31739666978354614, 0.3599527686347969, 0.3667950477988152, 0.36852756178245, 0.3326173444598893, 0.3191327224828079, 0.3606994935047179, 0.3557010994417911, 0.39195095303595784, 0.38582661815647873, 0.3872630343167527, 0.37821439365417237, 0.46327324102463235, 0.4727649082025607, 0.5171433958569753, 0.5511616873733124, 0.5584882950948188, 0.545791965493828, 0.5800242011217286, 0.6431945180585991, 0.6426431096769881, 0.6552557221271518, 0.6567901849707072, 0.6540097426355889, 0.6680955247301935, 0.6697442513569559, 0.6205260197116558, 0.6597436114108601, 0.6090513519098423, 0.6175923753638491, 0.6001095004601874, 0.6634762592988513, 0.6714470714815025, 0.6972905419045159, 0.7620092963951772, 0.8328357741801656, 0.869339411863946, 0.8301885507956382, 0.7988928835364951, 0.7637042764540488, 0.6806686067828268, 0.6682293213857591, 0.6633379581010796, 0.715931254376875, 0.7493688856749181, 0.767199845060642, 0.772272002781126, 0.7703819479669229, 0.8207809598952968, 0.8129975379203969, 0.7707587082132503, 0.7794668051839625, 0.7901391204866561, 0.7815767875950954, 0.8035380226650775, 0.7980856084321366, 0.7545162948994784, 0.7637451020551141, 0.7612343455507462, 0.8390381975893877, 0.8322331971045475, 0.8258507173554985, 0.8302276206629045, 0.8428529509504843, 0.8714066192060527, 0.9002404080030849, 0.9260648763170615, 0.8990881972993955, 0.8743994885770165, 0.8378526366675458, 0.87986665665289, 0.8499294636736454, 0.884763162989869, 0.9386410323471276, 0.9484225448778284, 0.9392204312041507, 0.9215291641528985, 0.8931177597026921, 0.8780973954408955, 0.8573576807264545, 0.8146782847763769, 0.8234970634304694, 0.8891906579273434, 0.86285410449302, 0.8268945004175768, 0.8578915969109042, 0.8726967180355797, 0.8726649426145825, 0.8903019094248275, 0.8897816741924092, 0.9003343885681808, 0.9431775678402737, 0.9701377147787488, 1.0023520267723145, 1.0270017696775526, 1.023442767135712, 0.9259514938378282, 0.9690718216369619, 0.9291916592898546, 0.8994639654775987, 0.954321583214307, 0.9387041640864968, 0.9090692720005877, 0.9015268097323429, 0.860820656117333, 0.8248488304318694, 0.9449341840346978, 0.8604340399725519, 0.8553498461813406, 0.8485093867564943, 0.8335156673660248, 0.8214953141658874, 0.7882890447493923, 0.7602135042421855, 0.7382506947041902, 0.7265668166131981, 0.6551283581687676, 0.6227600697351956, 0.6683268275376769, 0.6615926895963973, 0.732410795435311, 0.7123336617431505, 0.6655712534063662, 0.6446876001210505, 0.584274799125048, 0.5750265388950846, 0.5954861719108208, 0.6475557876561512, 0.6390331237819212, 0.7125342240829095, 0.7436816926697676, 0.6876918422342713, 0.6078872480662649, 0.6142464158595876, 0.6049115201270882, 0.6861236576715382, 0.7223240626845188, 0.7869173779858444, 0.836717649145563, 0.7976801671462287, 0.8024921350674387, 0.817770157112593, 0.8355092806242927, 0.8362188588037917, 0.9285994907139621, 0.8945844233686857, 0.8607093440015037, 0.8048963472559343, 0.7685600465015572, 0.7578971698034582, 0.7354624722367261, 0.6947720775987227, 0.7124011065730688, 0.7062006385087083, 0.6997086809687539, 0.7170939001840588, 0.7536735922146847, 0.8165629424148155, 0.8190025179119639, 0.7949712474093696, 0.7600292785612638, 0.7573229427143079, 0.7968873449935236, 0.8314372362548226, 0.7740996449781801, 0.7586307969520856, 0.8133461873427376, 0.845054158424738, 0.8174681037384356, 0.7977372693375796, 0.78717932104099, 0.725207009774458, 0.8064588893247313, 0.8700447555035441, 0.8968550311166194, 0.9349757607947765, 0.8941472755676181, 0.9304014356992769, 0.938466043752772, 0.9617783084331587, 1.0334728077294664, 1.0574863800688796, 1.137103566374335, 1.1022141176147977, 1.1055720521105628, 1.0065133928514907, 1.0645338790503232, 1.1015280889013255, 1.1450193161061408, 1.182522278453659, 1.1677308694530313, 1.113984372179172, 1.1109629148669122, 1.0573707252009983, 1.098640923654999, 1.1185869191059805, 1.0987645912795656, 1.1029649039028033, 1.1368043465557873, 1.196743385135289, 1.182619770683736, 1.1841471596001014, 1.1643842155214552, 1.2190068575771642, 1.1819919773394552, 1.2334945484934066, 1.2148880438386194, 1.2426579197077323, 1.2521734007715772, 1.2116123889352883, 1.2194186221853336, 1.2651456645225765, 1.2939160225277149, 1.312333460485889, 1.3034275186957471, 1.2368770695137146, 1.1988430091357671, 1.1710106272056569, 1.1566730000532999, 1.129631979239773, 1.1353044850420155, 1.1239619026535084, 1.1568930902771573, 1.218202356917393, 1.2007614076687747, 1.1701469321478137, 1.1689115095945506, 1.2305705861809384, 1.2438550781700752, 1.2755345009301573, 1.360427635232118, 1.3939722203787275, 1.4463089327813843, 1.4796556986383473, 1.5098022791250918, 1.510817203949368, 1.472360548435628, 1.4590200468129069, 1.4533075174813714, 1.5259766047379333, 1.49786481279815, 1.53231796686051, 1.5321742386580108, 1.5503867032313534, 1.5149654717606251, 1.505632944089824, 1.513095515872673, 1.5555058048651482, 1.5787195213579448, 1.5583941218680293, 1.5258318511669833, 1.5186887303191587, 1.514533157708647, 1.5425809055089836, 1.544640724283945, 1.57276619332669, 1.5660863845279276, 1.5782491480284788, 1.571864583696232, 1.6103647933276706, 1.61706689103155, 1.5326350774909454, 1.5266074677777994, 1.503641528466743, 1.5298934473160233, 1.4969562615510132, 1.4400574469437486, 1.4364881537293768, 1.4281429844838887, 1.4845638681745648, 1.5246884433660897, 1.537317638340497, 1.5115551423354772, 1.50253776141103, 1.4430024138722455, 1.4374759398120756, 1.3667676702565683, 1.361985985515132, 1.341495025831737, 1.2812623223040343, 1.2790546762034656, 1.201068852045552, 1.197268201178979, 1.1867295485537435, 1.217065409109445, 1.2511033566885048, 1.2826351864732763, 1.2695294180607437, 1.2719877875968912, 1.2926230447443186, 1.2984890971992458, 1.228093031852613, 1.261988104327511, 1.1895085468210715, 1.149806063210159, 1.1681302202822141, 1.1648545707156375, 1.1510288350896343, 1.1581856740341832, 1.1225019377086483, 1.1075320526234103, 1.0931525247702674, 1.0761127278360694, 1.0848018565554631, 1.0639278123501492, 1.0167533559265545, 1.0329415758005798, 1.007354923356702, 1.020018433243652, 1.0370280600530288, 1.0826422237701505, 1.1007162077591008, 1.0883749925880137, 1.084602062333019, 1.1215715651109088, 1.0805306473382685, 1.054096627549857, 1.043696001184998, 1.0457075073019726, 1.000538803787307, 1.0515594483013382, 1.0551679510530587, 1.0454995635935562, 1.0958217172548705 ]
99
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Try to shift one time series by a certain number of steps and check if it looks the same as the other time series despite the scale difference. If they are lagged versions, they should look very similar in general after the shift.
Causality Analysis
Granger Causality
498
null
Is time series 2 a lagged version of time series 1?
[ "Yes", "No, time series 1 is a lagged version of time series 2", "No, they do not share similar pattern" ]
Yes
multiple_choice
[ -0.05086637273889377, -0.064640761453923, -0.10185524602789758, -0.17197811238992822, -0.1896559711598929, -0.18900428572599207, -0.13015814663749145, -0.13065453000218122, -0.1030169543603028, -0.12071210324879206, -0.12471458123373137, -0.0767529667014501, -0.16011142165387138, -0.16249789277805235, -0.13484895953361942, -0.18274610050294265, -0.1504964064907646, -0.06568233820414518, -0.18492886209023163, -0.20993588312936007, -0.27984299388504263, -0.2756058048225074, -0.18771466952278987, -0.1870980492996168, -0.10475738910606204, -0.18809771457507427, -0.21454125739352686, -0.22817195933322645, -0.24499150082510887, -0.21788687204976415, -0.33175320852952256, -0.4050437219356252, -0.4116541992012566, -0.3972281323220629, -0.3703941844154927, -0.4225923167331656, -0.44158742708327264, -0.47047271351257036, -0.49904289801107604, -0.43850482382508005, -0.39420381416431316, -0.46669053129895033, -0.4089266091993607, -0.39377697973741355, -0.41078193154819614, -0.43794781630035046, -0.36454410074078286, -0.3785927472886575, -0.31092379935356795, -0.37879430044814294, -0.3676592823464653, -0.3344068313425408, -0.34405208443530744, -0.3199735185437104, -0.34465616419948536, -0.40522304755463956, -0.33878918152414483, -0.35167879710691474, -0.3404478395795917, -0.35866906051035863, -0.3233551722354585, -0.3461927798011555, -0.3002478328194181, -0.3067174444739582, -0.333275008852359, -0.3784310002211316, -0.38862713626362216, -0.41504071969462464, -0.43955448664116903, -0.38749854368949627, -0.37898349658117997, -0.3332174316969253, -0.36011813850513097, -0.2516678345724785, -0.21484563090666764, -0.2802253513471741, -0.3241272537048908, -0.3730269605893113, -0.3480696293593619, -0.3295265975927871, -0.3300172929561854, -0.295898012410658, -0.2862091648010402, -0.3346988743625017, -0.35388490748172974, -0.261160420585753, -0.33860466163399844, -0.3426836629770371, -0.3533852903144222, -0.34358943583729296, -0.33423634785215234, -0.31387736282934936, -0.3712773429075165, -0.4587379179918109, -0.44768985068292916, -0.4269813402054052, -0.4789940009878118, -0.46382479625381284, -0.49056164805975655, -0.5334603832544297, -0.5543805084126134, -0.596292323886975, -0.5721099743011033, -0.5879128151020185, -0.5694302625519226, -0.5244739801519102, -0.5127667184192676, -0.49336923732719834, -0.45744966810457155, -0.4753302486773321, -0.4634507958679607, -0.49545765011592297, -0.5318259370159474, -0.530876207147213, -0.5155520232850846, -0.540294936449718, -0.5918219605148106, -0.6587257817050496, -0.7166112585580167, -0.7744952376601213, -0.7144765159716494, -0.7099966327518938, -0.6602163122720672, -0.6471343234909455, -0.6256791962783161, -0.6840515447620706, -0.7461115972414235, -0.7242719337390878, -0.6702395267993528, -0.6377934165362902, -0.6346056074862428, -0.6399607863428943, -0.6381865746020592, -0.6786487332503173, -0.7013018248484855, -0.6420700509820012, -0.6871726986347231, -0.7366867184022502, -0.7348924283335482, -0.771188961598164, -0.8123655228417462, -0.7030851237441402, -0.6922209897593552, -0.6747381980208824, -0.6978220412170087, -0.6986833459592379, -0.7411628370783311, -0.750657005279601, -0.7374607900231114, -0.779681083774518, -0.8603199764766812, -0.8621417838430205, -0.9225733577516125, -0.9149507925141621, -1.0398386110562943, -1.0134309931813674, -0.9973182817598603, -1.0019430665709061, -0.9697951153425289, -1.0808732417531624, -1.16492086190529, -1.2261063712507783, -1.2438527517139284, -1.3453113967558186, -1.3607321426068384, -1.3339416100150463, -1.399615615155424, -1.3713639155319657, -1.2660375067355547, -1.213016792959089, -1.2918772123817026, -1.2708879005017286, -1.2542923560940125, -1.23991503304373, -1.1678703687030374, -1.1934867838759295, -1.2363872846402564, -1.2563307747708288, -1.2597747004790838, -1.333226642563425, -1.3070203629179658, -1.3187567344030213, -1.3319775695161056, -1.2490011112947708, -1.3460523286158947, -1.3377888273029743, -1.3896329488742245, -1.3863402738140314, -1.412025490460363, -1.4318722283786371, -1.4826652696194518, -1.4837779826256883, -1.4489647247765178, -1.4402255611768144, -1.4777375414337, -1.481835192779805, -1.5015392332515802, -1.5373342364260643, -1.5010139391663075, -1.5215422079863603, -1.414615657317576, -1.4200502261980028, -1.4347882325860133, -1.5076672042307908, -1.4693373493845938, -1.4769471767124145, -1.4230620293062017, -1.399549559895526, -1.4802156935064226, -1.4778588359262743, -1.5015809273244822, -1.473875521019753, -1.4279556289458004, -1.4389907978269187, -1.45448328327537, -1.4691274973274395, -1.5376278774926513, -1.5611557446930786, -1.5855611039552848, -1.536724960876018, -1.562266520070446, -1.5745887399893286, -1.571744773682993, -1.5662819028884234, -1.5714703332335858, -1.6030915786485807, -1.552586337218262, -1.605496178300228, -1.6478511901993327, -1.628670728290225, -1.6419919533136118, -1.6019805882546596, -1.5745810560209774, -1.5029434257640348, -1.487588714018353, -1.5642987037342988, -1.575512088316042, -1.6736005312099347, -1.635350164590702, -1.5758099414166409, -1.5704860841923587, -1.5533946189665868, -1.4805381331598846, -1.5493930338571167, -1.6109729244733917, -1.5903522870095126, -1.5933368727305228, -1.5803208189787767, -1.5807689677815537, -1.5711406255874703, -1.5384186562698876, -1.6051277509437822, -1.5789690782438932, -1.5833682633320956, -1.5496054165426254, -1.4818664081697661, -1.4133389684985087, -1.3192129688287015, -1.2405419333481464, -1.2111450873312302, -1.1724638803907093, -1.1577839158847634, -1.2301205238034272, -1.2018199772329454, -1.3169105868904376, -1.3046964152719729, -1.2821912459479146, -1.2916452507292273, -1.2611487621130106, -1.2498168217981391, -1.3109596066480158, -1.3309009419549604, -1.3909679678853366, -1.3904579261227845, -1.3349610884008667, -1.4006567364525828, -1.3200928467329147, -1.270348944060967, -1.3114022620768975, -1.3715016860437774, -1.347596441642423, -1.2807203359697383, -1.315187716953516, -1.2231320612501995, -1.240446500709451, -1.2191690386056857, -1.2832267852914248, -1.2464257475070328, -1.198460013178549, -1.0718091307463882, -1.062210588836249, -0.9702015514697069, -0.9651998692697905, -1.0221795382468666, -1.0542218555841094, -1.0492077211720847, -1.001885298699022, -1.1143779555302658, -1.107354140408989, -1.126814722600251, -1.1199179498694898, -1.114303199495615, -1.2188413785027308, -1.1767411132750214, -1.100679686065714, -1.1744859129587488, -1.2370486204053157, -1.272726379556173, -1.2752064599408284, -1.3259593664157114, -1.382590379629917, -1.3770023805618405, -1.339758574935842, -1.2609757927919873, -1.2598315930730806, -1.2179668538229458, -1.2396528095376105, -1.2334305513755313, -1.252357108056974, -1.210598584436526, -1.161822526988766, -1.2080691709013376, -1.2390459650968164, -1.3005632597408658, -1.2611742200924543, -1.2675274192120292, -1.3659529939876047, -1.3447470374666228, -1.3935613355611745, -1.3323705059294797, -1.27245273750526, -1.2237136032207072, -1.2404179930889359, -1.2270253480830646, -1.271752183108322, -1.254484038939355, -1.3693542357226987, -1.2908384431069704, -1.2825832406205366, -1.3234811268073816, -1.3155203317475173, -1.3412453230701078, -1.4330551509487126, -1.4467540377204793, -1.4641568807136103, -1.4628527897037147, -1.4732632575391382, -1.4494130093940083, -1.4254133720927178, -1.4262561294557043, -1.3951656828457177, -1.430870976549989, -1.4503783839680282, -1.5191800538688642, -1.5458384799180804, -1.6164225755165555, -1.6474575383296008, -1.7021724932581377, -1.637175132132743, -1.6688311729597807, -1.6802129936431738, -1.6481486103100074, -1.6557242034126973, -1.629964336470734, -1.6549095696008387, -1.6480462078553144, -1.6234605046334876, -1.6161755049230548, -1.6789557568717457, -1.6308858142033276, -1.6955541811812096, -1.677283596746427, -1.6998544111325822, -1.581101744362878, -1.5384559998885616, -1.4723774798947387, -1.4607871158176426, -1.4978394231441625, -1.49945904976815, -1.5212998657731702, -1.5570067773507397, -1.5434075114389523, -1.5157499383608484, -1.4151308056425482, -1.460987471591642, -1.5655690024169506, -1.5686110976087986, -1.4954391781977439, -1.4569483843828375, -1.4637916985494526, -1.4915149078964811, -1.4663570560784083, -1.5250762728151566, -1.4919197528060792, -1.5193796647235793, -1.5590330257050373, -1.5689537168584138, -1.5481795765971396, -1.5770863986249035, -1.6283751465660419, -1.7194285575451496, -1.7114234268684914, -1.7314282162421653, -1.7471058779293593, -1.7533880206257975, -1.715584569638276, -1.6751085899549085, -1.6643715535681376, -1.6729153549729858, -1.599411504554185, -1.6330314232339427, -1.6212520633810281, -1.602257364657215, -1.6379352732420076, -1.5999801664600446, -1.6066906984561011, -1.6208527146601934, -1.5631987794681919, -1.582801816614383, -1.5842089995239905, -1.5722519124235355, -1.5066440645250405, -1.5456065636767604, -1.5539708126454685, -1.5979629284546417, -1.5361037605778773, -1.493026368390253, -1.560873873020907, -1.5939356829368334, -1.5008334817747373, -1.5070759975590875, -1.5861533551586027, -1.5999417656686112, -1.592612719741261, -1.5942679190469138, -1.6708145395685725, -1.7098174286409618, -1.6538191852643016, -1.637891204049672, -1.6590288290443875, -1.6810371023691388, -1.6280491462319653, -1.6188346011920889, -1.6654765934788827, -1.6462628260798708, -1.6455961686597818, -1.6635321504584695, -1.6911866794268358, -1.6833301532582605, -1.7687069494899892, -1.7848493217109893, -1.7507730876528425, -1.7707405586345246, -1.7677132956766186, -1.729487311167823, -1.6698013562996072, -1.755836451530159, -1.74253214275869, -1.7062726103962456, -1.7029016463553839, -1.628994431390187, -1.5453466533481255, -1.6348822911895045, -1.5943126415539255, -1.5827600785507858, -1.651187325771961, -1.6720442585230906, -1.6558529180881836, -1.6795335233748692, -1.74378277610284, -1.6926975131330633, -1.706786147805728, -1.7044568707169434, -1.678334191644939, -1.7611264383050222, -1.8118370437945548, -1.7710944223469043, -1.7825043813361932, -1.8296821531785163, -1.7896963631824199, -1.8036721770580444, -1.8493040402878567, -1.7242115101700903, -1.8031111207723824, -1.8531414842207592, -1.8652855632178853, -1.9173890342417725, -1.9085692829676029, -1.9368687581125728, -1.8761251886645718, -1.8604392928550642, -1.7856773365530647, -1.7807660349355812, -1.830945083966347, -1.9327024550248861, -2.0285073957661233, -1.855887339297425, -1.8695796478530595, -1.9462260350816842, -1.9336269049242538, -1.9248716688510614, -1.9358040232871576, -1.8623989018654075, -1.8504505513555236, -1.8476228716336514, -1.8849722001489795, -1.8824964982446708, -1.9462795504617523, -1.9337367387485809, -1.939470318846267, -2.0472524416355475, -2.076237840700154, -2.1253010385120934, -2.157008511129226, -2.1412728799954412, -2.0814279102936735, -2.092109918270713, -2.0983322045130435, -2.0687469925227933, -2.0429299342235083, -2.058941737533882, -2.058300462354953, -2.007548346848454, -1.9521420805878094, -1.9036764034105644, -1.8953322990821546, -1.8847952586614787, -1.9119783520700022, -1.8546809212613709, -1.8276614879330402, -1.8179434769598593, -1.7877615676405876, -1.743734053919209, -1.7052692340052311, -1.6702042151879253, -1.7153993236722056, -1.6918223549211564, -1.6426813370055335, -1.6716635757286336, -1.6632597743423227, -1.7775162546668815, -1.766893616967695, -1.786164131219492, -1.828443353975478, -1.8772889640113564, -1.8015983750301623, -1.8276016147756282, -1.843542969851947, -1.757879322358442, -1.759927969535033, -1.7477682428776955, -1.7405199808563456, -1.7865219660537695, -1.8494560495474404, -1.8426673050575, -1.7770021910097944, -1.710668213786966, -1.704834569097404, -1.7067329089814063, -1.7227786065673283, -1.710717073912483, -1.7302081351189575, -1.7005775967480183, -1.8083832156016453, -1.9075535830278234, -1.9469734409029888, -2.0067915776076575, -2.00200039731042, -2.007024631937025, -1.9559410605900103, -1.966383447839232, -2.00242462188117, -1.929101708374471, -1.8269917251414076, -1.8573314734163637, -1.8349351455627105, -1.8959273408003119, -1.898578581962209, -1.9439720879705886, -1.9396649797607473, -2.0025256420533117, -1.9797913207716542, -1.934065673225545, -1.992728110979263, -2.030805051803281, -1.9902262853737887, -1.9820752377021273, -1.914387743722765, -1.8708713698983337, -1.9177051377613756, -1.9748577060260348, -2.032924519321323, -2.1294239808017457, -2.1726738472851577, -2.1530670953927498, -2.122384795692074, -2.1277988443213416, -2.170988494878604, -2.1370447838004902, -2.1567312521145543, -2.196759531633062, -2.2104131436115653, -2.208199665560699, -2.156285914677283, -2.143800014601973, -2.11525898529719, -2.0223095474290913, -2.0306631378150053, -1.954389937555391, -2.0822032136365616, -2.0329742726275364, -2.0931161998696832, -2.09740857199381, -2.208787300471247, -2.1828797829534903, -2.232235817445543, -2.296032864484098, -2.303114036112351, -2.266285051012527, -2.322688749525805, -2.3398387194742254, -2.3749648098263934, -2.2974532936834144, -2.2978294576123295, -2.3181434743021008, -2.379887712913202, -2.3188591386982043, -2.3228818662549258, -2.3238132624502263, -2.2713297176533214, -2.2854433420581897, -2.243229854369674, -2.1730624297623624, -2.153224233329686, -2.1183424090135166, -2.076916887759492, -2.1053852162300117, -2.1166962147314488, -2.073652214945048, -2.05728851159395, -2.045010912304179, -2.113921847422253, -2.0718868495347706, -2.0642922147402825, -2.0313248120915723, -1.9637255344535494, -1.9400439489301102, -1.9392935812861476, -1.9212160447918503, -1.9110751584807026, -1.944597167233482, -1.9032823017351364, -2.0049631338536007, -2.0279137356682413, -2.136774794688196, -2.07316935927312, -2.0595237869980356, -2.0750207928300894, -2.11104716975765, -2.102863992278941, -2.036205548331778, -2.0166611734973863, -2.058973306669688, -2.097080603158107, -2.0912709435955863, -2.0201907412348645, -2.0887591999362156, -2.0501375870308514, -2.007911116097625, -1.9877810350346257, -1.8824421824744062, -1.906675525743361, -1.9175449521987336, -1.9451776628602113, -1.9219681867513059, -1.9276914066268072, -1.9736014630723109, -2.016923278518421, -1.9872155831942935, -1.9466165456309896, -1.8472884977689619, -1.8580901407285084, -1.7866026505874115, -1.7397313644380028, -1.704064362399056, -1.6702473377379037, -1.6478521853386952, -1.7264480334798042, -1.7590050176412173, -1.676469817049325, -1.6340306655721686, -1.6956985438022623, -1.6825338475233207, -1.7306283954693253, -1.7296351297418393, -1.6644351809949223, -1.7229950304904675, -1.7330208282712576, -1.767971661741301, -1.8647050600468758, -1.9050711393008246, -1.8901316981613518, -1.8788084247311962, -1.8971778946323, -2.0120791637500988, -1.9214934134243222, -1.9874790627501389, -2.003595075584252, -2.022334447389652, -2.0833629329857226, -2.0832457496334236, -2.0873232862219195, -2.0389782581761917, -2.002337870195172, -2.0046859608771963, -1.971680925801906, -2.004925846768993, -1.9968696893897673, -1.9557082240119361, -2.0265034265546045, -1.9739104491412158, -2.005038374659658, -2.0664832318304653, -2.093175617315506, -2.019304330257404, -2.062364004145631, -2.079451795555108, -2.112593141489534, -2.130348012186163, -2.0675630698696716, -2.1000905261713423, -2.0841807574545856, -2.0439486682525123, -1.9804746479595574, -1.9607185064208001, -2.013141167268803, -1.9482188151105535, -1.9413407648843046, -2.002797932593124, -2.0942484882158015, -2.0597586716019998, -2.1050445032735174, -2.0552346002421813, -1.982204489899884, -1.9350603754436368, -1.9593140635166795, -1.9619307221216151, -2.065896744930789, -2.0949890549337176, -2.071825582587811, -2.154768849064806, -2.20745530145187, -2.2355633067477836, -2.185293059008221, -2.1013417879523972, -2.1031512993503867, -2.1299657258853637, -2.147968125962477, -2.233869170591802, -2.213793561243088, -2.3174787052425594, -2.3845402657085217, -2.4137880484586103, -2.377387433752689, -2.3214447904974804, -2.3018806141389034, -2.3359204048907785, -2.314414484055479, -2.220020914518136, -2.1750668710832373, -2.232457262391201, -2.2219043786584516, -2.189042318920723, -2.1405772560673144, -2.1476173969241006, -2.1229604655117784, -2.17557306082066, -2.210647702990552, -2.225473035272984, -2.2616673185944602, -2.266561475200814, -2.250358867296513, -2.2488449156676573, -2.296900315551972, -2.4139511114033696, -2.3886302157401405, -2.4338066384310313, -2.4337146732729042, -2.395045434629732, -2.3655725775627836, -2.3566388632713693, -2.393298902682591, -2.4222673539405872, -2.399488108022912, -2.3410489798081784, -2.424292526032471, -2.314074303471708, -2.3551362247509067, -2.3605930299182383, -2.371325936087871, -2.420309359402199, -2.4006536661097084, -2.3290169585129306, -2.34279265255361, -2.3129909034319773, -2.2599580177536454, -2.2090585732908488, -2.2596198659096984, -2.296818147441035, -2.303909067695545, -2.3686547922447745, -2.372760219000607, -2.39803576228105, -2.3941220989067005, -2.471649933366668, -2.4692753267951626, -2.5224981189976283, -2.5411555931669736, -2.558981470102392, -2.6013229979868946, -2.5847472938960196, -2.593272333395845, -2.620858693403236, -2.6468080311125144, -2.5918213173316222, -2.6354047154492943, -2.7096617381872075, -2.63792782855734, -2.603936844104998, -2.738293273076379, -2.8114210450359782, -2.8471653370711127, -2.82934006199745, -2.845991179917348, -2.9048186813904824, -2.930628257683823, -2.9321884202172273, -2.847953411595869, -2.8465113620808915, -2.863598845948865, -2.8857281604158667, -2.916320961216445, -2.959935071840847, -3.0227245441258646, -3.087358185866189, -3.109826788989816, -3.1130418331549037, -3.148540867594501, -3.1105281954434276, -3.1113771356370994, -3.1036342484478356, -3.1316906155259843, -3.1276527526956133, -3.172714628379831, -3.1860819262268625, -3.1873021545541365, -3.1911116116213454, -3.1174296790602445, -3.06633834593401, -3.0378453362435085, -3.025745253779234, -3.122073012085595, -3.18905354495426, -3.1747744871161783, -3.1743087346744376, -3.1139784460156292, -3.0657274326006863, -3.0510636734155256, -3.054817530711509, -3.06057061785746, -3.0056895012210125, -3.015559381225314, -2.976611064845472, -2.8723463975204115, -2.883304398020632, -2.9495559157678426, -2.870007854810165, -2.800352035835134, -2.800267170844824, -2.724765818713762, -2.707695475170527, -2.7200148281434022, -2.831654246028058, -2.8836068981756364, -2.879829248863627, -2.8386290607439237, -2.8561712318392773, -2.8296660375960223, -2.807122458080518, -2.8924087287310916, -2.951740378463405, -2.9709420659316392, -2.9482187984026167, -2.929914859454792, -2.9199601006078346, -2.930215917128026, -2.923488489217521, -2.9273555318707127, -2.865107186430636, -2.9246667640426196, -2.9440636335264014, -2.9055047672664367, -2.8514965201755222, -2.8364628335724604, -2.7684803525456054, -2.7121667732383417, -2.736976736112112, -2.7747129226580527, -2.834397562449522, -2.8386469566954373, -2.770594236477628, -2.7524482553450107, -2.7382185847580125, -2.753161676104699, -2.7618032533968098, -2.8017627326540864, -2.824416126366047, -2.88433735575888, -2.9041704579753573, -2.9411267094382105, -2.9736281064159233, -3.008664626066803, -3.0473554821340234, -3.0021938214571975, -2.9680414616058464, -2.9263298228354353, -2.8791080652180243, -2.825275348633066, -2.7099044777179966, -2.7955938689803426, -2.822064954865524, -2.8921051350798184, -2.8930267685137503, -2.929435509707751, -2.9519964118478295, -2.9751605519399913, -2.9849693371279713, -2.8765982698807977, -2.843603178256482, -2.8293060353930457, -2.853389382238463, -2.892005841828365, -2.9146208933993143, -2.8876903683266053, -2.8669773599211896, -2.835610035961992, -2.7032556627381474, -2.7080837474702752, -2.714085303461792, -2.743979564253577, -2.6792466205195384, -2.5973745555665673, -2.554699244169229, -2.506288213217287, -2.5159247862277616, -2.536462034604412, -2.616936136060542, -2.56775326610759, -2.5911747955282336, -2.5107456453350636, -2.4506603607073183, -2.401180778736432, -2.3791071816751557, -2.3395734741098466, -2.3049543211967487, -2.3025264714101032, -2.2826634036737343, -2.3429803711563166, -2.3259499208449816, -2.310207312256423, -2.329580879463947, -2.224384525724022, -2.2235829379380903, -2.257266698584178, -2.283237625742158, -2.259144550226578, -2.290247093648706, -2.2831891191191147, -2.2349088364170084, -2.1842392024962916, -2.2750976062476456, -2.2906115796506175, -2.3116647838826863, -2.248130678588281, -2.2180575661306787, -2.1991445411037294, -2.2638869607405616, -2.2813221140468296, -2.3026877591324557, -2.3636176492581322, -2.269808027235515, -2.267288929973532, -2.2608248376722817, -2.2527406959598033, -2.2537652255866742, -2.268319410913989, -2.2822900317903536, -2.183498108479935, -2.1630350679751693, -2.029593657830584, -2.029585436995193, -1.8987960781207833, -1.887956159186691, -1.855806123738831, -1.8330005127955524, -1.8960892475442315, -1.9590723955889284, -1.8863175744714307, -1.9107131050999853, -1.929722128428155, -2.019804883018293, -2.0005248414167847, -1.9592270227683801, -1.9331152023574831, -1.961662935335269, -1.991585509537657, -1.9642493333289015, -1.9813084580723548, -1.9714054875738207, -1.9567247926034386, -1.9650131427134376, -1.9858239031997238, -2.01412106868305, -2.0604704191481047 ]
[ -0.10475738910606204, -0.18809771457507427, -0.21454125739352686, -0.22817195933322645, -0.24499150082510887, -0.21788687204976415, -0.33175320852952256, -0.4050437219356252, -0.4116541992012566, -0.3972281323220629, -0.3703941844154927, -0.4225923167331656, -0.44158742708327264, -0.47047271351257036, -0.49904289801107604, -0.43850482382508005, -0.39420381416431316, -0.46669053129895033, -0.4089266091993607, -0.39377697973741355, -0.41078193154819614, -0.43794781630035046, -0.36454410074078286, -0.3785927472886575, -0.31092379935356795, -0.37879430044814294, -0.3676592823464653, -0.3344068313425408, -0.34405208443530744, -0.3199735185437104, -0.34465616419948536, -0.40522304755463956, -0.33878918152414483, -0.35167879710691474, -0.3404478395795917, -0.35866906051035863, -0.3233551722354585, -0.3461927798011555, -0.3002478328194181, -0.3067174444739582, -0.333275008852359, -0.3784310002211316, -0.38862713626362216, -0.41504071969462464, -0.43955448664116903, -0.38749854368949627, -0.37898349658117997, -0.3332174316969253, -0.36011813850513097, -0.2516678345724785, -0.21484563090666764, -0.2802253513471741, -0.3241272537048908, -0.3730269605893113, -0.3480696293593619, -0.3295265975927871, -0.3300172929561854, -0.295898012410658, -0.2862091648010402, -0.3346988743625017, -0.35388490748172974, -0.261160420585753, -0.33860466163399844, -0.3426836629770371, -0.3533852903144222, -0.34358943583729296, -0.33423634785215234, -0.31387736282934936, -0.3712773429075165, -0.4587379179918109, -0.44768985068292916, -0.4269813402054052, -0.4789940009878118, -0.46382479625381284, -0.49056164805975655, -0.5334603832544297, -0.5543805084126134, -0.596292323886975, -0.5721099743011033, -0.5879128151020185, -0.5694302625519226, -0.5244739801519102, -0.5127667184192676, -0.49336923732719834, -0.45744966810457155, -0.4753302486773321, -0.4634507958679607, -0.49545765011592297, -0.5318259370159474, -0.530876207147213, -0.5155520232850846, -0.540294936449718, -0.5918219605148106, -0.6587257817050496, -0.7166112585580167, -0.7744952376601213, -0.7144765159716494, -0.7099966327518938, -0.6602163122720672, -0.6471343234909455, -0.6256791962783161, -0.6840515447620706, -0.7461115972414235, -0.7242719337390878, -0.6702395267993528, -0.6377934165362902, -0.6346056074862428, -0.6399607863428943, -0.6381865746020592, -0.6786487332503173, -0.7013018248484855, -0.6420700509820012, -0.6871726986347231, -0.7366867184022502, -0.7348924283335482, -0.771188961598164, -0.8123655228417462, -0.7030851237441402, -0.6922209897593552, -0.6747381980208824, -0.6978220412170087, -0.6986833459592379, -0.7411628370783311, -0.750657005279601, -0.7374607900231114, -0.779681083774518, -0.8603199764766812, -0.8621417838430205, -0.9225733577516125, -0.9149507925141621, -1.0398386110562943, -1.0134309931813674, -0.9973182817598603, -1.0019430665709061, -0.9697951153425289, -1.0808732417531624, -1.16492086190529, -1.2261063712507783, -1.2438527517139284, -1.3453113967558186, -1.3607321426068384, -1.3339416100150463, -1.399615615155424, -1.3713639155319657, -1.2660375067355547, -1.213016792959089, -1.2918772123817026, -1.2708879005017286, -1.2542923560940125, -1.23991503304373, -1.1678703687030374, -1.1934867838759295, -1.2363872846402564, -1.2563307747708288, -1.2597747004790838, -1.333226642563425, -1.3070203629179658, -1.3187567344030213, -1.3319775695161056, -1.2490011112947708, -1.3460523286158947, -1.3377888273029743, -1.3896329488742245, -1.3863402738140314, -1.412025490460363, -1.4318722283786371, -1.4826652696194518, -1.4837779826256883, -1.4489647247765178, -1.4402255611768144, -1.4777375414337, -1.481835192779805, -1.5015392332515802, -1.5373342364260643, -1.5010139391663075, -1.5215422079863603, -1.414615657317576, -1.4200502261980028, -1.4347882325860133, -1.5076672042307908, -1.4693373493845938, -1.4769471767124145, -1.4230620293062017, -1.399549559895526, -1.4802156935064226, -1.4778588359262743, -1.5015809273244822, -1.473875521019753, -1.4279556289458004, -1.4389907978269187, -1.45448328327537, -1.4691274973274395, -1.5376278774926513, -1.5611557446930786, -1.5855611039552848, -1.536724960876018, -1.562266520070446, -1.5745887399893286, -1.571744773682993, -1.5662819028884234, -1.5714703332335858, -1.6030915786485807, -1.552586337218262, -1.605496178300228, -1.6478511901993327, -1.628670728290225, -1.6419919533136118, -1.6019805882546596, -1.5745810560209774, -1.5029434257640348, -1.487588714018353, -1.5642987037342988, -1.575512088316042, -1.6736005312099347, -1.635350164590702, -1.5758099414166409, -1.5704860841923587, -1.5533946189665868, -1.4805381331598846, -1.5493930338571167, -1.6109729244733917, -1.5903522870095126, -1.5933368727305228, -1.5803208189787767, -1.5807689677815537, -1.5711406255874703, -1.5384186562698876, -1.6051277509437822, -1.5789690782438932, -1.5833682633320956, -1.5496054165426254, -1.4818664081697661, -1.4133389684985087, -1.3192129688287015, -1.2405419333481464, -1.2111450873312302, -1.1724638803907093, -1.1577839158847634, -1.2301205238034272, -1.2018199772329454, -1.3169105868904376, -1.3046964152719729, -1.2821912459479146, -1.2916452507292273, -1.2611487621130106, -1.2498168217981391, -1.3109596066480158, -1.3309009419549604, -1.3909679678853366, -1.3904579261227845, -1.3349610884008667, -1.4006567364525828, -1.3200928467329147, -1.270348944060967, -1.3114022620768975, -1.3715016860437774, -1.347596441642423, -1.2807203359697383, -1.315187716953516, -1.2231320612501995, -1.240446500709451, -1.2191690386056857, -1.2832267852914248, -1.2464257475070328, -1.198460013178549, -1.0718091307463882, -1.062210588836249, -0.9702015514697069, -0.9651998692697905, -1.0221795382468666, -1.0542218555841094, -1.0492077211720847, -1.001885298699022, -1.1143779555302658, -1.107354140408989, -1.126814722600251, -1.1199179498694898, -1.114303199495615, -1.2188413785027308, -1.1767411132750214, -1.100679686065714, -1.1744859129587488, -1.2370486204053157, -1.272726379556173, -1.2752064599408284, -1.3259593664157114, -1.382590379629917, -1.3770023805618405, -1.339758574935842, -1.2609757927919873, -1.2598315930730806, -1.2179668538229458, -1.2396528095376105, -1.2334305513755313, -1.252357108056974, -1.210598584436526, -1.161822526988766, -1.2080691709013376, -1.2390459650968164, -1.3005632597408658, -1.2611742200924543, -1.2675274192120292, -1.3659529939876047, -1.3447470374666228, -1.3935613355611745, -1.3323705059294797, -1.27245273750526, -1.2237136032207072, -1.2404179930889359, -1.2270253480830646, -1.271752183108322, -1.254484038939355, -1.3693542357226987, -1.2908384431069704, -1.2825832406205366, -1.3234811268073816, -1.3155203317475173, -1.3412453230701078, -1.4330551509487126, -1.4467540377204793, -1.4641568807136103, -1.4628527897037147, -1.4732632575391382, -1.4494130093940083, -1.4254133720927178, -1.4262561294557043, -1.3951656828457177, -1.430870976549989, -1.4503783839680282, -1.5191800538688642, -1.5458384799180804, -1.6164225755165555, -1.6474575383296008, -1.7021724932581377, -1.637175132132743, -1.6688311729597807, -1.6802129936431738, -1.6481486103100074, -1.6557242034126973, -1.629964336470734, -1.6549095696008387, -1.6480462078553144, -1.6234605046334876, -1.6161755049230548, -1.6789557568717457, -1.6308858142033276, -1.6955541811812096, -1.677283596746427, -1.6998544111325822, -1.581101744362878, -1.5384559998885616, -1.4723774798947387, -1.4607871158176426, -1.4978394231441625, -1.49945904976815, -1.5212998657731702, -1.5570067773507397, -1.5434075114389523, -1.5157499383608484, -1.4151308056425482, -1.460987471591642, -1.5655690024169506, -1.5686110976087986, -1.4954391781977439, -1.4569483843828375, -1.4637916985494526, -1.4915149078964811, -1.4663570560784083, -1.5250762728151566, -1.4919197528060792, -1.5193796647235793, -1.5590330257050373, -1.5689537168584138, -1.5481795765971396, -1.5770863986249035, -1.6283751465660419, -1.7194285575451496, -1.7114234268684914, -1.7314282162421653, -1.7471058779293593, -1.7533880206257975, -1.715584569638276, -1.6751085899549085, -1.6643715535681376, -1.6729153549729858, -1.599411504554185, -1.6330314232339427, -1.6212520633810281, -1.602257364657215, -1.6379352732420076, -1.5999801664600446, -1.6066906984561011, -1.6208527146601934, -1.5631987794681919, -1.582801816614383, -1.5842089995239905, -1.5722519124235355, -1.5066440645250405, -1.5456065636767604, -1.5539708126454685, -1.5979629284546417, -1.5361037605778773, -1.493026368390253, -1.560873873020907, -1.5939356829368334, -1.5008334817747373, -1.5070759975590875, -1.5861533551586027, -1.5999417656686112, -1.592612719741261, -1.5942679190469138, -1.6708145395685725, -1.7098174286409618, -1.6538191852643016, -1.637891204049672, -1.6590288290443875, -1.6810371023691388, -1.6280491462319653, -1.6188346011920889, -1.6654765934788827, -1.6462628260798708, -1.6455961686597818, -1.6635321504584695, -1.6911866794268358, -1.6833301532582605, -1.7687069494899892, -1.7848493217109893, -1.7507730876528425, -1.7707405586345246, -1.7677132956766186, -1.729487311167823, -1.6698013562996072, -1.755836451530159, -1.74253214275869, -1.7062726103962456, -1.7029016463553839, -1.628994431390187, -1.5453466533481255, -1.6348822911895045, -1.5943126415539255, -1.5827600785507858, -1.651187325771961, -1.6720442585230906, -1.6558529180881836, -1.6795335233748692, -1.74378277610284, -1.6926975131330633, -1.706786147805728, -1.7044568707169434, -1.678334191644939, -1.7611264383050222, -1.8118370437945548, -1.7710944223469043, -1.7825043813361932, -1.8296821531785163, -1.7896963631824199, -1.8036721770580444, -1.8493040402878567, -1.7242115101700903, -1.8031111207723824, -1.8531414842207592, -1.8652855632178853, -1.9173890342417725, -1.9085692829676029, -1.9368687581125728, -1.8761251886645718, -1.8604392928550642, -1.7856773365530647, -1.7807660349355812, -1.830945083966347, -1.9327024550248861, -2.0285073957661233, -1.855887339297425, -1.8695796478530595, -1.9462260350816842, -1.9336269049242538, -1.9248716688510614, -1.9358040232871576, -1.8623989018654075, -1.8504505513555236, -1.8476228716336514, -1.8849722001489795, -1.8824964982446708, -1.9462795504617523, -1.9337367387485809, -1.939470318846267, -2.0472524416355475, -2.076237840700154, -2.1253010385120934, -2.157008511129226, -2.1412728799954412, -2.0814279102936735, -2.092109918270713, -2.0983322045130435, -2.0687469925227933, -2.0429299342235083, -2.058941737533882, -2.058300462354953, -2.007548346848454, -1.9521420805878094, -1.9036764034105644, -1.8953322990821546, -1.8847952586614787, -1.9119783520700022, -1.8546809212613709, -1.8276614879330402, -1.8179434769598593, -1.7877615676405876, -1.743734053919209, -1.7052692340052311, -1.6702042151879253, -1.7153993236722056, -1.6918223549211564, -1.6426813370055335, -1.6716635757286336, -1.6632597743423227, -1.7775162546668815, -1.766893616967695, -1.786164131219492, -1.828443353975478, -1.8772889640113564, -1.8015983750301623, -1.8276016147756282, -1.843542969851947, -1.757879322358442, -1.759927969535033, -1.7477682428776955, -1.7405199808563456, -1.7865219660537695, -1.8494560495474404, -1.8426673050575, -1.7770021910097944, -1.710668213786966, -1.704834569097404, -1.7067329089814063, -1.7227786065673283, -1.710717073912483, -1.7302081351189575, -1.7005775967480183, -1.8083832156016453, -1.9075535830278234, -1.9469734409029888, -2.0067915776076575, -2.00200039731042, -2.007024631937025, -1.9559410605900103, -1.966383447839232, -2.00242462188117, -1.929101708374471, -1.8269917251414076, -1.8573314734163637, -1.8349351455627105, -1.8959273408003119, -1.898578581962209, -1.9439720879705886, -1.9396649797607473, -2.0025256420533117, -1.9797913207716542, -1.934065673225545, -1.992728110979263, -2.030805051803281, -1.9902262853737887, -1.9820752377021273, -1.914387743722765, -1.8708713698983337, -1.9177051377613756, -1.9748577060260348, -2.032924519321323, -2.1294239808017457, -2.1726738472851577, -2.1530670953927498, -2.122384795692074, -2.1277988443213416, -2.170988494878604, -2.1370447838004902, -2.1567312521145543, -2.196759531633062, -2.2104131436115653, -2.208199665560699, -2.156285914677283, -2.143800014601973, -2.11525898529719, -2.0223095474290913, -2.0306631378150053, -1.954389937555391, -2.0822032136365616, -2.0329742726275364, -2.0931161998696832, -2.09740857199381, -2.208787300471247, -2.1828797829534903, -2.232235817445543, -2.296032864484098, -2.303114036112351, -2.266285051012527, -2.322688749525805, -2.3398387194742254, -2.3749648098263934, -2.2974532936834144, -2.2978294576123295, -2.3181434743021008, -2.379887712913202, -2.3188591386982043, -2.3228818662549258, -2.3238132624502263, -2.2713297176533214, -2.2854433420581897, -2.243229854369674, -2.1730624297623624, -2.153224233329686, -2.1183424090135166, -2.076916887759492, -2.1053852162300117, -2.1166962147314488, -2.073652214945048, -2.05728851159395, -2.045010912304179, -2.113921847422253, -2.0718868495347706, -2.0642922147402825, -2.0313248120915723, -1.9637255344535494, -1.9400439489301102, -1.9392935812861476, -1.9212160447918503, -1.9110751584807026, -1.944597167233482, -1.9032823017351364, -2.0049631338536007, -2.0279137356682413, -2.136774794688196, -2.07316935927312, -2.0595237869980356, -2.0750207928300894, -2.11104716975765, -2.102863992278941, -2.036205548331778, -2.0166611734973863, -2.058973306669688, -2.097080603158107, -2.0912709435955863, -2.0201907412348645, -2.0887591999362156, -2.0501375870308514, -2.007911116097625, -1.9877810350346257, -1.8824421824744062, -1.906675525743361, -1.9175449521987336, -1.9451776628602113, -1.9219681867513059, -1.9276914066268072, -1.9736014630723109, -2.016923278518421, -1.9872155831942935, -1.9466165456309896, -1.8472884977689619, -1.8580901407285084, -1.7866026505874115, -1.7397313644380028, -1.704064362399056, -1.6702473377379037, -1.6478521853386952, -1.7264480334798042, -1.7590050176412173, -1.676469817049325, -1.6340306655721686, -1.6956985438022623, -1.6825338475233207, -1.7306283954693253, -1.7296351297418393, -1.6644351809949223, -1.7229950304904675, -1.7330208282712576, -1.767971661741301, -1.8647050600468758, -1.9050711393008246, -1.8901316981613518, -1.8788084247311962, -1.8971778946323, -2.0120791637500988, -1.9214934134243222, -1.9874790627501389, -2.003595075584252, -2.022334447389652, -2.0833629329857226, -2.0832457496334236, -2.0873232862219195, -2.0389782581761917, -2.002337870195172, -2.0046859608771963, -1.971680925801906, -2.004925846768993, -1.9968696893897673, -1.9557082240119361, -2.0265034265546045, -1.9739104491412158, -2.005038374659658, -2.0664832318304653, -2.093175617315506, -2.019304330257404, -2.062364004145631, -2.079451795555108, -2.112593141489534, -2.130348012186163, -2.0675630698696716, -2.1000905261713423, -2.0841807574545856, -2.0439486682525123, -1.9804746479595574, -1.9607185064208001, -2.013141167268803, -1.9482188151105535, -1.9413407648843046, -2.002797932593124, -2.0942484882158015, -2.0597586716019998, -2.1050445032735174, -2.0552346002421813, -1.982204489899884, -1.9350603754436368, -1.9593140635166795, -1.9619307221216151, -2.065896744930789, -2.0949890549337176, -2.071825582587811, -2.154768849064806, -2.20745530145187, -2.2355633067477836, -2.185293059008221, -2.1013417879523972, -2.1031512993503867, -2.1299657258853637, -2.147968125962477, -2.233869170591802, -2.213793561243088, -2.3174787052425594, -2.3845402657085217, -2.4137880484586103, -2.377387433752689, -2.3214447904974804, -2.3018806141389034, -2.3359204048907785, -2.314414484055479, -2.220020914518136, -2.1750668710832373, -2.232457262391201, -2.2219043786584516, -2.189042318920723, -2.1405772560673144, -2.1476173969241006, -2.1229604655117784, -2.17557306082066, -2.210647702990552, -2.225473035272984, -2.2616673185944602, -2.266561475200814, -2.250358867296513, -2.2488449156676573, -2.296900315551972, -2.4139511114033696, -2.3886302157401405, -2.4338066384310313, -2.4337146732729042, -2.395045434629732, -2.3655725775627836, -2.3566388632713693, -2.393298902682591, -2.4222673539405872, -2.399488108022912, -2.3410489798081784, -2.424292526032471, -2.314074303471708, -2.3551362247509067, -2.3605930299182383, -2.371325936087871, -2.420309359402199, -2.4006536661097084, -2.3290169585129306, -2.34279265255361, -2.3129909034319773, -2.2599580177536454, -2.2090585732908488, -2.2596198659096984, -2.296818147441035, -2.303909067695545, -2.3686547922447745, -2.372760219000607, -2.39803576228105, -2.3941220989067005, -2.471649933366668, -2.4692753267951626, -2.5224981189976283, -2.5411555931669736, -2.558981470102392, -2.6013229979868946, -2.5847472938960196, -2.593272333395845, -2.620858693403236, -2.6468080311125144, -2.5918213173316222, -2.6354047154492943, -2.7096617381872075, -2.63792782855734, -2.603936844104998, -2.738293273076379, -2.8114210450359782, -2.8471653370711127, -2.82934006199745, -2.845991179917348, -2.9048186813904824, -2.930628257683823, -2.9321884202172273, -2.847953411595869, -2.8465113620808915, -2.863598845948865, -2.8857281604158667, -2.916320961216445, -2.959935071840847, -3.0227245441258646, -3.087358185866189, -3.109826788989816, -3.1130418331549037, -3.148540867594501, -3.1105281954434276, -3.1113771356370994, -3.1036342484478356, -3.1316906155259843, -3.1276527526956133, -3.172714628379831, -3.1860819262268625, -3.1873021545541365, -3.1911116116213454, -3.1174296790602445, -3.06633834593401, -3.0378453362435085, -3.025745253779234, -3.122073012085595, -3.18905354495426, -3.1747744871161783, -3.1743087346744376, -3.1139784460156292, -3.0657274326006863, -3.0510636734155256, -3.054817530711509, -3.06057061785746, -3.0056895012210125, -3.015559381225314, -2.976611064845472, -2.8723463975204115, -2.883304398020632, -2.9495559157678426, -2.870007854810165, -2.800352035835134, -2.800267170844824, -2.724765818713762, -2.707695475170527, -2.7200148281434022, -2.831654246028058, -2.8836068981756364, -2.879829248863627, -2.8386290607439237, -2.8561712318392773, -2.8296660375960223, -2.807122458080518, -2.8924087287310916, -2.951740378463405, -2.9709420659316392, -2.9482187984026167, -2.929914859454792, -2.9199601006078346, -2.930215917128026, -2.923488489217521, -2.9273555318707127, -2.865107186430636, -2.9246667640426196, -2.9440636335264014, -2.9055047672664367, -2.8514965201755222, -2.8364628335724604, -2.7684803525456054, -2.7121667732383417, -2.736976736112112, -2.7747129226580527, -2.834397562449522, -2.8386469566954373, -2.770594236477628, -2.7524482553450107, -2.7382185847580125, -2.753161676104699, -2.7618032533968098, -2.8017627326540864, -2.824416126366047, -2.88433735575888, -2.9041704579753573, -2.9411267094382105, -2.9736281064159233, -3.008664626066803, -3.0473554821340234, -3.0021938214571975, -2.9680414616058464, -2.9263298228354353, -2.8791080652180243, -2.825275348633066, -2.7099044777179966, -2.7955938689803426, -2.822064954865524, -2.8921051350798184, -2.8930267685137503, -2.929435509707751, -2.9519964118478295, -2.9751605519399913, -2.9849693371279713, -2.8765982698807977, -2.843603178256482, -2.8293060353930457, -2.853389382238463, -2.892005841828365, -2.9146208933993143, -2.8876903683266053, -2.8669773599211896, -2.835610035961992, -2.7032556627381474, -2.7080837474702752, -2.714085303461792, -2.743979564253577, -2.6792466205195384, -2.5973745555665673, -2.554699244169229, -2.506288213217287, -2.5159247862277616, -2.536462034604412, -2.616936136060542, -2.56775326610759, -2.5911747955282336, -2.5107456453350636, -2.4506603607073183, -2.401180778736432, -2.3791071816751557, -2.3395734741098466, -2.3049543211967487, -2.3025264714101032, -2.2826634036737343, -2.3429803711563166, -2.3259499208449816, -2.310207312256423, -2.329580879463947, -2.224384525724022, -2.2235829379380903, -2.257266698584178, -2.283237625742158, -2.259144550226578, -2.290247093648706, -2.2831891191191147, -2.2349088364170084, -2.1842392024962916, -2.2750976062476456, -2.2906115796506175, -2.3116647838826863, -2.248130678588281, -2.2180575661306787, -2.1991445411037294, -2.2638869607405616, -2.2813221140468296, -2.3026877591324557, -2.3636176492581322, -2.269808027235515, -2.267288929973532, -2.2608248376722817, -2.2527406959598033, -2.2537652255866742, -2.268319410913989, -2.2822900317903536, -2.183498108479935, -2.1630350679751693, -2.029593657830584, -2.029585436995193, -1.8987960781207833, -1.887956159186691, -1.855806123738831, -1.8330005127955524, -1.8960892475442315, -1.9590723955889284, -1.8863175744714307, -1.9107131050999853, -1.929722128428155, -2.019804883018293, -2.0005248414167847, -1.9592270227683801, -1.9331152023574831, -1.961662935335269, -1.991585509537657, -1.9642493333289015, -1.9813084580723548, -1.9714054875738207, -1.9567247926034386, -1.9650131427134376, -1.9858239031997238, -2.01412106868305, -2.0604704191481047, -2.0139984565901914, -2.0904670860752854, -2.160974327613224, -2.1406011590670615, -2.1036137920747136, -2.100948572009912, -2.0917017224205177, -2.03478599635789, -2.0692999294311996, -2.0357572800593475, -1.9979644483153058, -1.9284840262327352, -1.908534588506742, -1.9267607160291045, -1.996794390442811, -2.047625815872262, -1.9913657973117116, -2.009833166001526, -2.057199901363565, -2.1282299796038404, -2.185330718636803, -2.2076838473299047, -2.2214504104365633, -2.190505226427883 ]
96
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Focus on the time delay between the two time series. If time series 2 is a lagged version, then it should look the same to time series 1 after being shifted by a certain number of steps. Can you check this?
Causality Analysis
Granger Causality
499
null
Does time series 1 granger cause time series 2?
[ "No, they are not granger causal", "Yes, time series 1 granger causes time series 2", "No, time series 2 granger causes time series 1" ]
Yes, time series 1 granger causes time series 2
binary
[ -0.018437090540663566, -0.035441602246092226, -0.06137707470931432, -0.06337382125659964, -0.05037232371139269, -0.039200255176115986, -0.04104969124075916, -0.032579222024691774, -0.029847041566649885, -0.04381431294650161, -0.04111001167946625, -0.040130829721828534, -0.045786971592206585, -0.045348136545100656, -0.06349906129229196, -0.06654100298496356, -0.04659482783147283, -0.038322846345267475, -0.030590489757287752, -0.028973712868952794, -0.04765288898456722, -0.06275053716589449, -0.05967630621800384, -0.10701885198375047, -0.08226497140256613, -0.08815124042788834, -0.10744552604756612, -0.10246960313895268, -0.10073525150114616, -0.139151971975001, -0.1130771521381442, -0.11525844182708038, -0.11853544711202765, -0.11780590850323654, -0.09057667484559263, -0.07139791921272047, -0.06094420158403787, -0.043405202371504005, 0.010484322101268241, 0.007235988494788863, 0.006558208093053933, -0.0035881115240724683, 0.008278935502476513, -0.02627181631990333, 0.0027400082091308953, -0.006204513664706861, -0.02603327313121971, -0.020267181207119914, -0.04809890614548638, -0.027787538970065844, -0.03071517088240587, -0.031961625485817775, -0.02134642586404291, 0.01870638729226124, 0.03775015214758346, 0.004278084603347318, -0.00811626039247388, -0.005518585436526353, 0.019444626071138192, 0.02288369024935661, 0.045610183350549574, 0.03503240455330536, 0.04115863527371417, 0.023458106311435682, 0.027993263881678394, 0.01863407805788849, -0.005472579038494307, -0.014424253051853703, -0.012040440394453424, 0.0027182174910270612, 0.008373434531346017, 0.013353863559170334, -0.0003432285732441181, -0.011771156376822002, -0.011991990502519543, -0.020090669949357612, -0.032639572903862164, -0.07032091355990924, -0.07741572507332528, -0.08437839664563404, -0.10116302800263381, -0.04810464980149816, -0.007162946897269318, -0.02652254295201155, 0.03373249270453417, 0.031008234006563176, 0.044107513269174184, 0.05464383597442423, 0.06320787865920477, 0.05778268519409172, 0.04373592328333521, 0.01941167038476507, 0.051174845633228785, 0.07395024464192576, 0.08551672404807574, 0.091289157566644, 0.0921001356622838, 0.05855155429096749, 0.060626737064983977, 0.049172007480648317, 0.06234018105201359, 0.07318217029132625, 0.07338171710666193, 0.07675375834782674, 0.1161679661822746, 0.15439327445240308, 0.18094968794946042, 0.19671296412785896, 0.19090282831010222, 0.21341613690291014, 0.23649160045823564, 0.2533081056059743, 0.24521491264960488, 0.23391469546648333, 0.25935550791180967, 0.2607063199942192, 0.22972851249353782, 0.23113529739068137, 0.22098936847000475, 0.22877047430990483, 0.243958098117714, 0.2249679423396552, 0.22401659538646604, 0.2000678122744678, 0.19033768537537377, 0.2288611029857981, 0.24762594309117814, 0.24941289304959266, 0.24334313505603958, 0.2572056476831053, 0.29439961428101474, 0.3001902350385214, 0.3141525331146903, 0.28415626182987935, 0.3074333351392432, 0.3038411899848022, 0.3103282105472185, 0.28300424502531196, 0.26518054025922166, 0.24961677824208647, 0.26215763488820093, 0.29794443343583377, 0.2761725172244084, 0.307402444220304, 0.31149155401210066, 0.3100894698915426, 0.2835728466341725, 0.26484056065729367, 0.2744639432249931, 0.2880862272334278, 0.28147004031199496, 0.2884284558166323, 0.28074921400735264, 0.265739073798775, 0.2820014206111932, 0.27471972262046, 0.2539822335829051, 0.2605638145035883, 0.24973963669882016, 0.24159659627746358, 0.24800859062914757, 0.25378936742103336, 0.24356764361362485, 0.23239063910116445, 0.23440627426630511, 0.23645376222691644, 0.2235615916248399, 0.21409762293056075, 0.22082778974723433, 0.21157943543591098, 0.15544003988982635, 0.15767889447048003, 0.16345189905769897, 0.16531840105100154, 0.1719934258090886, 0.18554563945815478, 0.2261591793167633, 0.2717769450377074, 0.27022856367818865, 0.30652504224098154, 0.3182302286702805, 0.31586810126120285, 0.33419066299022787, 0.32087350557244404, 0.30966556864855876, 0.30334552025227257, 0.31234526768522686, 0.26589572948390994, 0.2637655898105101, 0.25106102366395794, 0.26158143366825015, 0.25731633771450385, 0.2860324250856823, 0.2841322795151089, 0.253197875567822, 0.2532808135450511, 0.2647987641120234, 0.25283235639006785, 0.25408906898638306, 0.20959435725905984, 0.24230880467431062, 0.2107432794460376, 0.20938469159544063, 0.22406161775934624, 0.22827450329064156, 0.26172547272067914, 0.27057428003481343, 0.25656099662122533, 0.2511676054467483, 0.2560127610427213, 0.22439622506494006, 0.22397796507027398, 0.2211981838883196, 0.24636322169191757, 0.2458993911301338, 0.2383256224310872, 0.22678844885699911, 0.211202269693941, 0.20239603473454146, 0.23096974198641812, 0.20422244657896857, 0.2357490432768032, 0.2472134045492349, 0.2778047140728338, 0.29101445755129746, 0.2552825178982635, 0.2399201258012491, 0.2525264535797007, 0.2595101228994152, 0.28666959558195415, 0.2713396480827538, 0.2917507246107739, 0.2903918149536272, 0.28187534854581703, 0.24714047893256316, 0.24683565312513364, 0.25326785464157536, 0.29782153344970663, 0.2884356504900673, 0.27386673064094913, 0.24951840754820054, 0.24268516488466457, 0.23383326715915115, 0.2541221076295865, 0.2769815190319158, 0.2540796185254925, 0.2442567026718868, 0.2441791428827233, 0.2065627769067448, 0.18346094488496864, 0.17610281835793884, 0.1655135065779806, 0.16751737519818613, 0.16263902850938958, 0.20999483353169243, 0.20781508167994947, 0.19034091853982268, 0.22716052026507044, 0.25184520946028965, 0.22618703121262512, 0.23227304974787058, 0.23296625196831705, 0.22152259100656202, 0.22034522108829693, 0.220974539256574, 0.24039521441597794, 0.26160319468014104, 0.27481521380236584, 0.2715263630709429, 0.2801830687177274, 0.2595460409496082, 0.28031762766590246, 0.2605233065527009, 0.2845068721404278, 0.3164485023050577, 0.30856709501429946, 0.3042436106253452, 0.30554026975396015, 0.3435344724197913, 0.36243181316168127, 0.3589690589084169, 0.36714287912242144, 0.3423670750321698, 0.33481714562913145, 0.328539249072879, 0.30576478337583846, 0.3414495530458877, 0.3166831704320116, 0.3362387041135633, 0.3394363994378955, 0.35400394782214273, 0.358468665868255, 0.3409477196382347, 0.34519715935763307, 0.345506104018761, 0.3231263175780471, 0.3072160640510053, 0.31524043995816986, 0.3227312523784428, 0.33192324031062065, 0.36809523242671127, 0.34160184449582387, 0.3434661707685215, 0.36407586994629465, 0.35674697863735705, 0.3500568943149715, 0.3551733377079134, 0.378096971118242, 0.35899676790453516, 0.3888162562810861, 0.4155974191428961, 0.4158429634037312, 0.4377766978139037, 0.4530926982266352, 0.45728171264804096, 0.45141276929061125, 0.4437420435926008, 0.43240544882622767, 0.4660484867229011, 0.4522030512283909, 0.43708943268766226, 0.48853317497117654, 0.466781523808007, 0.44577737153232705, 0.43363862728884156, 0.42923146379171745, 0.4203421003124836, 0.40574173110744377, 0.3722809425195531, 0.3705344002800002, 0.3795558649051479, 0.37352951667864115, 0.3870726240977009, 0.40464561062871957, 0.3832710078804409, 0.3882237147931864, 0.3868226577470766, 0.39146457403591756, 0.4048902299286048, 0.4173075192533065, 0.4141867278524745, 0.42206527198107097, 0.3922692367790385, 0.4147082605830406, 0.400571893606614, 0.40841354990549344, 0.42931434064796525, 0.431851014177688, 0.4089000370023813, 0.42130193013103906, 0.4205928682307953, 0.43321571612135795, 0.4266947863365407, 0.4406918795172415, 0.43983546144143715, 0.4297990292975587, 0.44100696042572657, 0.4631309818323687, 0.49348066362463777, 0.5253773055456792, 0.5237054941552896, 0.49661099067597186, 0.5249874952790086, 0.5231386856789206, 0.5171641049455137, 0.5345942091687547, 0.5311490456657745, 0.5299927229546855, 0.5334592070560431, 0.5357790226918397, 0.5695746242525664, 0.5860370497260846, 0.5894843148226694, 0.5796347312644435, 0.5622440833114744, 0.5665057356480977, 0.5534685706284265, 0.5384241679724429, 0.5397620026469299, 0.5677115196792434, 0.5603589566025721, 0.544652937540499, 0.5196145833292594, 0.5200410364784682, 0.5218907358292123, 0.5146226592428262, 0.5176962649589809, 0.5308122401259744, 0.5611683767217857, 0.5663632098559586, 0.5533157120856094, 0.5645213405484054, 0.5514836237543077, 0.5439453772435795, 0.5437188094586659, 0.5651478099895153, 0.590167059212912, 0.5828656214241004, 0.5569988083407947, 0.560303327482494, 0.5494131932849851, 0.5432160688732797, 0.564864409613925, 0.5442231964769991, 0.5529222840932561, 0.5923918104799902, 0.5505044407946618, 0.5411563662825967, 0.5359250415186511, 0.4996697444080913, 0.4883052286509943, 0.5136223630089053, 0.49401909039578396, 0.5079530052204747, 0.5017068500983053, 0.5122112457362379, 0.5291012165178426, 0.5484864490391673, 0.555597869487513, 0.5706429388918369, 0.5975777195208202, 0.5978945596202456, 0.5499364550917459, 0.5363898431335452, 0.5621174329822899, 0.5749908664605292, 0.5810069925110392, 0.5426272351982173, 0.49976297862196356, 0.521967550470377, 0.543452223431697, 0.5697047637031551, 0.5985876733520951, 0.6410821445290511, 0.6332165555627963, 0.6383001383732237, 0.622504895332729, 0.6181746549610093, 0.6200171465351381, 0.5986750113125741, 0.6338301070440897, 0.6406622399677058, 0.616934373983929, 0.6063815947790023, 0.6263563653816024, 0.6278137449921276, 0.6294495165223113, 0.6458068202447514, 0.6730263921286462, 0.6569492233781121, 0.6610192366674115, 0.6726370408727649, 0.6952498623858344, 0.7051713621472386, 0.6954844039152629, 0.6763372029709817, 0.6575213714465064, 0.6514350384965811, 0.6648278085623073, 0.6587653026847934, 0.6607809728699038, 0.6502877395955937, 0.6422556118057334, 0.6330574422767342, 0.6477638944260042, 0.623965337850768, 0.6041925073636838, 0.6132007146116376, 0.6331711235330874, 0.6392322616492743, 0.6328635626519841, 0.6369963899859591, 0.6422063610532128, 0.6266524561905786, 0.6143536971283177, 0.6138774261121483, 0.5893149608232869, 0.5724035577512793, 0.5602988555327884, 0.556066891604412, 0.5494014385963691, 0.5402947788410463, 0.5324381008322187, 0.5320510335701338, 0.5521044452439242, 0.5677082680371102, 0.5587968545409217, 0.5628028368780094, 0.5643385227955361, 0.5477043371342928, 0.5521521069072108, 0.5556028944006555, 0.5430208070700361, 0.5318282236787202, 0.5775670678069664, 0.6195661230616606, 0.62225931904285, 0.6280364555303541, 0.6574523527991246, 0.6759927531593829, 0.6696784627707503, 0.6416370328734802, 0.637802698770534, 0.6212491640043745, 0.588261119243628, 0.5710682069561209, 0.5868719623272373, 0.5917438462333051, 0.5768554956010621, 0.5834683110592573, 0.5569096798591414, 0.548632689117334, 0.580495428034187, 0.5517670540023817, 0.5480210546413731, 0.575007008628198, 0.5644872982483431, 0.5962958050065156, 0.5751052074983453, 0.5730110380831408, 0.6009592095172566, 0.6107338911793109, 0.6056181200067565, 0.6005829064721103, 0.580967428158345, 0.5950921728097747, 0.5462388751628398, 0.5380635045040975, 0.503835937216994, 0.45203699240302336, 0.4500687837832535, 0.42574566429632604, 0.4206206114457044, 0.41307767079741775, 0.4417157216149867, 0.448945380449192, 0.41314385208881516, 0.42391850394344466, 0.4101151440740592, 0.42707348371110876, 0.4100797182417027, 0.41686591845357274, 0.4172164732867472, 0.3992665388292777, 0.43402200746911734, 0.4467700042282684, 0.41705987310471343, 0.4032905117445094, 0.39309795960495625, 0.38643689028529454, 0.3836326943560637, 0.3795577625304577, 0.3614759725756601, 0.3618543561812715, 0.37191646936483624, 0.3692704211051784, 0.34436400550859736, 0.35459079444144537, 0.33683826402702466, 0.3190481279869875, 0.29074901985640245, 0.28858785618072935, 0.277810504616947, 0.27046396276310514, 0.2644936076634122, 0.23809782356643222, 0.233433065725265, 0.26794168630248627, 0.3062961118944542, 0.30178787774771465, 0.27877577493579964, 0.28564433845943815, 0.3034921698242848, 0.29065211474268804, 0.27241197172053305, 0.2897155863492899, 0.2973225784890231, 0.2813873361829207, 0.2742219710148965, 0.2716367531655465, 0.2595743470334854, 0.2578404353128655, 0.2371330238806848, 0.23828715628850194, 0.24989326709424928, 0.2543737193462876, 0.2372368579821481, 0.23253317909256016, 0.24717160904272317, 0.25943459453459494, 0.2680766406066409, 0.2681595369004067, 0.2633069395505147, 0.22039754431137118, 0.21993369249859926, 0.20317736996707916, 0.19550143641881718, 0.21134643350267335, 0.209951568047328, 0.2109453487155773, 0.20542288721909188, 0.20095033808731935, 0.20160927243538365, 0.17373284680964432, 0.15377095819517783, 0.14549657344867878, 0.15877692533754928, 0.14494980010668207, 0.1708351659684369, 0.14755152591523268, 0.16383909258624954, 0.1996793157479861, 0.19489793411167025, 0.21106120127695616, 0.22760843312482468, 0.23227558881988597, 0.25170755948328255, 0.210118233124597, 0.21147571688277353, 0.22235911503510217, 0.21634362629561246, 0.2177466763482702, 0.24384797863554147, 0.2561090076523058, 0.2519331138370277, 0.256943037133851, 0.23908554143443128, 0.2348966855925786, 0.20778305357251597, 0.22002889489576302, 0.22763711509098827, 0.2535643956924997, 0.24780788759703218, 0.2461014254980831, 0.2591467695525589, 0.2777363171180664, 0.2917385590023256, 0.297761045920749, 0.3341259226367739, 0.3491542319241683, 0.38521690620753957, 0.36779762437307195, 0.375160693169185, 0.39707123975043235, 0.42844961595195363, 0.42005491279840157, 0.40842149595199423, 0.38482986889433457, 0.3909890020145455, 0.3961126591105473, 0.386912883158164, 0.4044792460190744, 0.40530391254928866, 0.4120050637680078, 0.38678277472451045, 0.4023555438419066, 0.4230631435886578, 0.44974471538516186, 0.42819966162132994, 0.4420073615062565, 0.45017341846222136, 0.4321622725292701, 0.4194346598563029, 0.43771841692045743, 0.4471455490553111, 0.43672736131413337, 0.4298280374238715, 0.4154881332526987, 0.41051290341467356, 0.4265385085929952, 0.44502170581592515, 0.4692548440022587, 0.4661883021992207, 0.4393317446619195, 0.4174871156481716, 0.4034358543925326, 0.3864311542019332, 0.3859042566990949, 0.4443851921310141, 0.45104820852314215, 0.43822736396225986, 0.4492507472927676, 0.4808526482307628, 0.4764147980788847, 0.45267728437607935, 0.45780322648969335, 0.43551642473091273, 0.44595597084254424, 0.4325586222498829, 0.45079920924688033, 0.4508860622738909, 0.45167160533307926, 0.4400362893621375, 0.41402048254153845, 0.42194325346783945, 0.4192143432718349, 0.4337913544449372, 0.41290377551560087, 0.4092617489311686, 0.4374074911013932, 0.43752177214377264, 0.43259913127561983, 0.4511901613249223, 0.45610030996018097, 0.47420251888668324, 0.43876302821230606, 0.4418596776679417, 0.48667764700289884, 0.5077804358285523, 0.5039220374210717, 0.4945511942086464, 0.48391984889141937, 0.4864647923282761, 0.4657230773563961, 0.47024516993714566, 0.47245232272444637, 0.46914710692639244, 0.4527107294647104, 0.4489103866760338, 0.44326889806068315, 0.4696439340161618, 0.45216603378185477, 0.4638404078923241, 0.47586680074256055, 0.46332183217536926, 0.4606041692330797, 0.45102100919260407, 0.45503807803827906, 0.4317272285056736, 0.4302817888488227, 0.4210788942918454, 0.40323464131899117, 0.4014539039435431, 0.3948108804283398, 0.4019987401517038, 0.3762066553731721, 0.3833966296076769, 0.36218208390503365, 0.35884463469426503, 0.3263020224084151, 0.3373049750588031, 0.32605280614539384, 0.33640791767706146, 0.30423166788105493, 0.3059970092628968, 0.3010476544475277, 0.3212441643630551, 0.330291521468379, 0.3247351918158904, 0.32321131307670004, 0.32264041065263355, 0.3226976399201205, 0.3371101415622132, 0.2793748826388968, 0.2910569202477894, 0.314864322447208, 0.3160909083218405, 0.31286613669990804, 0.2760936172691235, 0.26262695692906324, 0.2764101878170664, 0.25430509997175876, 0.2579143140362112, 0.2446913570502884, 0.25514712169157205, 0.2700407198114281, 0.29379780099062797, 0.2928653989233956, 0.2796620896598894, 0.2794492133422056, 0.2744614382986715, 0.2639118254628042, 0.2522815897630543, 0.27161469884581224, 0.24795171347902834, 0.2412689223323596, 0.2073132749929418, 0.2212937540636587, 0.1911364457835818, 0.22431778621409024, 0.2512394589186493, 0.2576671365506653, 0.22588161593296696, 0.21699211063362311, 0.21541697464210552, 0.2443116539274846, 0.21364295225738647, 0.20448278239628057, 0.218077961016179, 0.22595490857793205, 0.2113458701973641, 0.22196147616511405, 0.20506087875808593, 0.23261204474220937, 0.24795611830248349, 0.23677055141503456, 0.23053798731992756, 0.2252908253403626, 0.2184658355913954, 0.24132891990966496, 0.2542848608358668, 0.27964608139805486, 0.3011152606859405, 0.30730738348438985, 0.341512332343984, 0.35337235973916864, 0.3608554896989242, 0.33841692020630637, 0.3209545198675808, 0.30744714127070677, 0.29935134140614966, 0.29512078493517596, 0.2680999330514592, 0.2576498195382765, 0.24088765530215062, 0.24131543597515803, 0.23007837796488986, 0.21698857267898575, 0.22784646136592915, 0.2273667744626209, 0.2673615611065118, 0.2730793315648654, 0.28516692406622235, 0.31413051075283605, 0.3221874608325528, 0.3335656696293755, 0.3424269983993409, 0.32282306097821484, 0.33314803531970055, 0.367575459627962, 0.3784003271682978, 0.36456448422888543, 0.38180132687615653, 0.36431488801792233, 0.35378732921653283, 0.38911799429996774, 0.36409263388187785, 0.38524121285596635, 0.4035156844333417, 0.4203482352238736, 0.41033897720725876, 0.4181630722719755, 0.40849283745237186, 0.3956163889574381, 0.39563971826933547, 0.37226642106136204, 0.3769678318204611, 0.374523336855925, 0.3832924454346988, 0.3759787776066259, 0.360944858801788, 0.36885557082720094, 0.3594596099671213, 0.3739082719420613, 0.36088371645091005, 0.3663775803865984, 0.36196396313015367, 0.3612497871433796, 0.35910214884037744, 0.3520895176005987, 0.351573595289745, 0.3607609041328719, 0.36801006697477784, 0.358801210153997, 0.4038190157145777, 0.4076758145440955, 0.4037161144376292, 0.39742563710740314, 0.379110232434559, 0.3659284311364682, 0.35923785374063916, 0.34420290159539735, 0.3284862959670973, 0.3328244470084936, 0.3530339601771319, 0.35863663068003443, 0.3586905089386955, 0.3770116561995925, 0.37397009087656463, 0.35344353664730616, 0.3552464277850551, 0.387264328790294, 0.38385179623940374, 0.38224955065512767, 0.3734839391582352, 0.3729647468980894, 0.3768322323861827, 0.37152055275688395, 0.35210844584967055, 0.37003084929134533, 0.35644300013683744, 0.38709137242971653, 0.4112096995012098, 0.4317085841926884, 0.4308241665217008, 0.45512802743238434, 0.46280433312522085, 0.45716164139684573, 0.4869002944423858, 0.4867545917761075, 0.44553638279761393, 0.4530459754552158, 0.4458566179679494, 0.4779835924123298, 0.49467653673302997, 0.505044429170788, 0.5003255292984463, 0.49602185967153667, 0.5167523786489144, 0.4995735536093789, 0.48554827704677106, 0.5130319222718617, 0.5170985733600286, 0.528787541075992, 0.5319369768712418, 0.5247378834820936, 0.5053776927084122, 0.4870542453214707, 0.4863046734069114, 0.5082965626554453, 0.4982179561841201, 0.5005475248383989, 0.46796217650917465, 0.47953698655448684, 0.4944933245032953, 0.49142811041047846, 0.4675202863756236, 0.43652935082748257, 0.43372532759156024, 0.4277311343142983, 0.4307065794435098, 0.4354609156221792, 0.4374341321763954, 0.43675833661349334, 0.40016795777216635, 0.4050076883391124, 0.38169003486208986, 0.38688612072913026, 0.4014157849207722, 0.39202600489672224, 0.41580352464775394, 0.42472242164367024, 0.44537594203611025, 0.44923318835278375, 0.4489759233953454, 0.46895094741282956, 0.4845364906060121, 0.46546373394127816, 0.44307102559884776, 0.4534959774972406, 0.43550058087945615, 0.4459695226405958, 0.43853165300688085, 0.45377540987283554, 0.44028934894882826, 0.4252365943209463, 0.41902281966096855, 0.41856695277407696, 0.4059421882343722, 0.3905198069130232, 0.37552788527497305, 0.3688229878167009, 0.37269361568813425, 0.3494097339978895, 0.3561176561492104, 0.3592137641180608, 0.344294149333636, 0.34473418418693985, 0.32584767088400207, 0.32014903217500246, 0.31771222409800737, 0.34228804410574815, 0.3516222938866867, 0.332198981107103, 0.3107933413105419, 0.29957724764662486, 0.2804875018076433, 0.2850082945076479, 0.29366927539580934, 0.2847383221321902, 0.24409023010770806, 0.2898768099995722, 0.26718929680942566, 0.23529639886211798, 0.24022111793352904, 0.24441419073099413, 0.24610249980630816, 0.23840126585111943, 0.2319645517169459, 0.24373231052114172, 0.23642962023509342, 0.26251293457427416, 0.2691721169993384, 0.2592082091453695, 0.2777841478830497, 0.25409179617867617, 0.22604187159183384, 0.2517486005910531, 0.26441612951371996, 0.21271336630873067, 0.22213071855542812, 0.24928252102145035, 0.2118507096901841, 0.18138754007314245, 0.1631167745666801, 0.18109498482360337, 0.19562162303127434, 0.19782318062901272, 0.1913388612312405, 0.17556677493046147, 0.1628259600530576, 0.17100925940572034, 0.18866003216192057, 0.16681459907309018, 0.1851035774661282, 0.22900191993777, 0.26924312349876633, 0.3031083069710348, 0.3112505909833387, 0.32015988377382104, 0.3388925925434287, 0.3411881951953021, 0.3445829839444797, 0.3304866892623753 ]
[ -0.018437090540663566, -1.4214709644246968, -1.8346044894025222, -3.0500067189015283, -3.4472870287558592, -2.380699077012564, -2.9374578449571285, -2.040928064438935, -1.92249421421705, -0.94960513766183, -0.8174543334705167, -3.0335067029871015, -3.153411156087163, -1.6708094107642564, -1.5563791122092636, -1.9029655962354513, -1.611390608814174, -1.460452716460305, -1.141088800183294, -0.4071239612642913, 0.36820643668727704, -1.3681393980811412, -1.6334902238681932, -1.475562236286444, -2.3566332806442953, -1.5438374593513102, -2.029036234556856, -1.4921474383149154, -0.6561052846087808, 0.3652703701116581, -1.138913462127448, -0.9013546450897731, 0.14916889305097014, 0.08268917381838725, 0.09016617533114007, -0.8202898270742289, -0.24901171854011328, -0.13883987738461506, 0.4102969302387758, -0.025231755096346398, -0.5445664305177674, -0.6802034819018092, -0.29410719600974344, 0.3842181654353331, 1.5761514553510685, 1.744931595411308, 0.7169858889406422, 1.4064520779524634, 0.9974962664761645, -0.9740154712394081, -0.14648234715099706, 1.6726907090420051, -0.0687870790924816, -0.3791796564109743, 0.7624782442923126, 0.07161692481526549, 0.7151831658269856, 0.9307760774339131, 0.38276415976136985, -0.4440713732889504, 1.6582764448475418, 3.159014967501596, 3.1184304015935354, 2.4510842953535557, 0.49319279784814385, -1.187445544854863, -0.8885567185854086, -0.15603958636752102, -0.435810478199217, -1.3938571462493086, -1.403997646317289, 0.9527485229224331, 1.6010588307878146, -0.549387712875816, -2.5872275892280827, -3.7697998219247237, -3.1485049374260603, -2.1502855669126983, -3.2456965399369953, -2.467152961986674, -3.4982864056537935, -2.676851519253351, -1.446160820973136, -1.979586810686881, -3.1333643553811825, -1.6468479071088051, 0.14350324095733247, -2.2346902127031534, -2.497780599087505, -1.3253174999965203, -2.366944892371564, -0.5433487562615775, 0.9083439290983457, 0.728386624158047, 0.38371815038782936, 0.05698276085281562, 0.45941374789054146, -0.4354429863237293, -0.6290569019956365, -1.0897224676474364, -2.211072869217641, 1.6957068889887672, 1.5048664382744554, 2.056104733760804, 1.801768236729339, 1.945781171666897, 0.21385587521172567, 1.6047797386242975, 1.2696797393505648, 1.0827005821723183, 0.7131080396131363, 0.8822397620080638, 1.4724502025882336, 1.5222136820115126, 1.3611162262303902, 1.0447514448198627, 2.977527747451756, 1.930991561588523, 3.121193824017328, 2.137761124471875, 3.197865946481861, 3.2091213458605776, 1.637831127895779, 0.7525067588341817, 0.5163045057936458, 0.5901736748208594, 0.9599561635785306, 1.1270667095037308, 1.5302770895785782, 0.8291505039727017, 1.330469322614967, 2.1757464064928156, 1.2328567410115625, 1.2418503936977658, 2.1042810366013667, 2.5216369467927247, 2.9688824839361114, 3.2202901374337856, 3.9997879353171752, 2.867577195634386, 0.4461869816623749, -0.4553842980211491, 0.7940712177383353, 2.515482967175291, 1.847736772394674, 2.094352426938092, 1.4793923061874263, 2.1382717408473457, 1.5405739315902096, 0.9851150843602091, 0.7162537566417888, 1.5100952617966383, 1.1562949678076138, 0.07040858799325189, 0.8908462438804444, 1.860091608621223, 3.690371004333981, 1.2863194335667023, 0.9784254792415616, 2.1000232512184196, -0.3876578220222615, -0.27568612972113393, 1.4422092617762825, 0.571323503306915, -0.6347559793294212, -1.3150275137686855, -0.8397667528547169, -1.175556617722739, -0.4746343614867602, -0.7777379169744957, -2.015582080500586, -0.5809974437425712, -0.8552256951562991, 1.6406321847167809, 2.775953612906033, 1.6883888373005478, 2.8055899313231816, 1.650651644196479, 2.6683929292803397, 3.2718448729753433, 3.006026952967079, 3.61698399295441, 3.658916323908443, 3.125286729067334, 2.2112500308927263, 1.1246832541889997, 2.362891410225452, 1.8203265561030788, 1.4501380382504254, 0.6614150322521976, 1.0768299979547178, 0.26705508364551145, 1.0077831158744746, 2.1362724019945265, 1.8222256333813251, 1.991013861519603, 2.814776326211388, 1.4020133935271022, 1.5921593271714072, 2.0546565046224297, 2.1612517527870123, -0.6283857453825512, 0.506934035931622, 1.7235630011789853, 1.2396184743164798, 1.3266490976914846, 2.811781658782601, 1.8952965393823096, 3.19017253244149, 2.790526247919065, 3.5097999268198663, 3.401187945045576, 2.9489276204256143, 3.65130886711479, 3.935000579008774, 2.247319526833268, 3.4527755838959013, 4.3938185475527005, 4.486298367033248, 3.787766606265134, 3.4362690567054264, 3.13450952109243, 2.9450540369752805, 2.8092246346702536, 2.956501837184398, 1.9784146473459763, 1.527178968763394, 0.7151520155782972, 1.0038786510556825, 1.0884457086396557, 3.060030983478068, 3.0300369366923112, 3.1349882062042624, 1.7314208539798133, 2.390637651827238, 0.7110475126711704, -0.930602686741105, -1.4852228550558102, 0.4659823158671881, 1.4028488252020719, 2.362515307580275, 1.258154471054408, 1.7313027463666908, 0.9092099956857311, -0.014953293704955906, 1.486730800811296, 1.8203422104199498, 2.6701729398567617, 2.2073033581589767, 3.7953596350132583, 2.782359965620558, 3.3581275714776027, 1.141254819924961, 2.0140007471032804, 2.094886943082447, 3.3805819520657545, 2.872563700052751, 2.3852160075609317, 2.7859216128890587, 1.8877919185946301, 1.566533554141611, 1.9455261869309701, 1.903799692777278, 2.726791515281193, 2.9018685183723276, 0.8617815709581675, 1.0633112457479317, 2.3303790431301095, 3.8122558236886945, 3.4067103782008354, 1.3224331289026343, 0.33272267324141946, 1.83207952378705, 1.4136477007677706, -0.5137286740508984, 1.0637667608971322, 0.5065543361080491, -0.08133538476849356, 0.8610407747487336, 0.7386454805643593, 1.210016535689947, 0.5680705415022838, 0.933049294746547, 1.9605536907295056, 2.489215231555832, 2.7796604217407554, 2.385774648854507, 2.559463448269679, 1.36140247614044, 1.9509796447784633, 2.2478625478634293, 3.623780355670936, 2.9079732257831488, 0.9970902678987834, 1.0987630308727954, 1.3005486880561903, 2.073786904913364, 0.9170273690126065, 1.520389793450038, 2.011598473838471, 1.9747893061404251, 0.20439392224716912, -0.24324803324752464, -0.5471602288625328, -0.4429631494035584, -1.2272906875179945, -0.5635742288964644, -0.7941088044337234, -0.5240749723832836, 0.8377921546169722, -0.16622529643912531, 0.09516794835263628, 2.190633274774349, 2.5503358193744345, 2.2075870827105635, 2.5494966262020737, 2.3954372949974743, 3.7607076951282403, 2.888027738144264, 2.449158012266887, 0.27698712895139455, 1.7631935904380354, 2.6633735341881155, 3.439196432056834, 5.060171066463586, 6.003711969715818, 6.875532371575092, 6.068307267002783, 4.505478570662204, 4.4048170837144545, 2.3562325942747044, 3.8998680244925623, 3.7030984717718325, 4.913243446945074, 5.456668804078403, 3.1276905122341194, 2.8520638508807155, 1.798573852109727, 0.9099471671510894, 0.7660892641659691, 0.5402199028572299, 0.27667152270195405, 0.005236177977014589, 0.9449317001616921, 1.2251183920090905, 3.477462675153173, 3.096802352785559, 2.6578860176805117, 2.79808075225877, 3.928493243023988, 6.0333937111736855, 4.4531679645107545, 3.2759211417332974, 2.440548253075182, 2.093751896782022, 2.19116809558048, 3.6359108196148044, 4.715026137745412, 4.256185863198134, 2.8268849797594555, 2.090949237466595, 3.725400313149161, 5.4765166465703246, 4.156886592257335, 4.9670594334105695, 5.117497389101022, 5.038475340639941, 6.270078004484422, 6.333806789838078, 6.72715225362103, 3.8431927923022418, 4.182597716010742, 4.350784244576771, 4.24123045621358, 3.907105214870437, 4.085081107212145, 4.620529776356598, 2.933839401256016, 3.4053943705068974, 2.0562133143745083, 1.8087592238182184, 2.062120117149038, 2.692465126130573, 2.1713030224612213, 0.7494266139230839, -0.304073514365792, -0.054340783499444045, 1.2582944487626948, 0.9494351130735207, 2.399499489091331, 1.6509167323566496, 1.1536216204439282, 2.166955203395892, 3.0894900824935396, 2.3957179354783342, 1.3368157334195732, 2.2438436895930134, 1.792296339511059, 1.2704345458512327, 1.7704725569474487, 2.4082231623127255, 3.197523797616726, 1.3986303422928543, 1.448948324688983, 1.5248240474826904, 1.662036307711477, 2.0870403852635317, 1.123909605072874, 1.753945740117577, 1.700769193055533, 3.496784874911115, 3.7878092273006057, 4.478546635580973, 6.246128990331458, 6.015507519274109, 6.502096621189637, 5.269915156222777, 4.694111553923236, 5.272310387700075, 4.238838920747982, 4.640852868411966, 3.9291724024133567, 4.04260231477837, 3.523985086208703, 3.5380371870050795, 3.8257416978361993, 3.2217334612889257, 1.5671592691278355, 0.16569316707821558, -0.48469187986079376, 1.9437193252327807, 1.52553718892758, 2.2279487572156325, 3.519085441054578, 4.039570393644536, 3.7124038062454767, 5.199333732733867, 3.721238325571016, 3.2272106873288102, 3.7123976049210246, 2.6327856469175286, 2.4244561795298267, 1.0447076891540361, 1.4861781776219671, 1.2956235293084983, 3.5138731543861303, 4.4747739950733845, 3.7594313906887504, 1.8478557810512066, 2.7701789944046693, 2.4453157456086236, 3.390567104781426, 2.5697167321519734, 4.03895367656651, 4.6881779297832065, 5.325131016374728, 3.897629809865042, 5.2885839531637755, 6.256080580425261, 5.093460470333614, 5.538878666713819, 6.535892495526588, 6.434174175054956, 5.578141575479242, 5.838932031402488, 5.3176351765853935, 4.4547368757556995, 2.8197157220083566, 3.350938962732155, 2.832645720644524, 3.9178956818664834, 3.4088516142832086, 4.691396860089967, 4.089570861857507, 5.456481377784219, 3.435276683326065, 3.016188084505647, 2.1312127509774896, 3.0540157161745904, 3.831427401986998, 3.2474311991856304, 4.449876057597503, 4.616263606960501, 3.392780036167349, 4.744724635746528, 5.028075836181642, 5.6239694286140445, 7.194912963834502, 8.763672567293888, 6.998818206365492, 6.280742268730364, 2.962600623317148, 2.014249072585397, 2.2751468379534514, 1.2673693891738618, 0.5957635618842276, 1.400883685135458, 1.7312934268842632, 2.864336690986188, 2.2997450969051068, 3.1753778694195454, 5.013358706306335, 2.483283874206304, 2.6813449830407747, 3.4230039744642133, 4.042190321320305, 4.263742939603701, 3.2121827223963955, 3.6360021963162676, 3.4106536941704335, 3.578829770456194, 3.7180415702190697, 2.955075602794582, 3.0613269145530224, 1.910412627814809, -0.14523122974930436, -0.645079731400322, 0.028547554151981673, 0.1858326208309477, 0.844564980080471, 1.2128383850876208, 2.635685959702302, 2.4245521711954527, 2.950489851652882, 3.4441550802779113, 4.278626824131455, 4.803812236003937, 4.5883224037371235, 3.246299209545219, 1.4793747166913818, 1.0992060630267702, 2.0392975897907424, 1.5112832200074013, 1.0633080751553252, 0.05472037034064803, 2.2479300024833235, 4.226669258998772, 4.977897583459205, 4.146432467294593, 5.571219336603134, 5.558974957592161, 5.314360487208104, 6.53073030574739, 4.837359263254589, 4.592827640126086, 3.786278168222537, 5.571165761579921, 4.753452850493217, 2.654361274714303, 1.9877087090155086, -0.3628271664818099, -1.1182937936679809, 0.9427671768433625, 2.483339381449441, 2.8260477100493375, 3.597594982949623, 2.997459823529935, 1.1256948268796731, 0.16936195242962016, -0.47055740179115024, 0.6548109401592821, 2.4186486908911586, 2.4643169591805405, 2.0240459182522574, 0.6224422810885153, -0.43272032570214347, 0.6935460410670065, 1.1890038529278484, 0.6590720590034589, -0.26794591105439314, -0.3964293906067786, -0.5597138553586498, -0.866143633105107, -0.45147941538035036, -0.8409987288672962, -2.028955693335354, 2.2338130831342777, 1.7793277268926844, 3.119741852081612, 1.1499734350411568, 0.17751276889869283, 1.4116336382626402, 2.2936479842179236, 2.218509553894281, 1.2350379382797803, 0.6905600031656394, 1.5013878472284223, 1.9636786434427997, 1.4583765813037266, 0.4722073927982352, 1.9093235901097318, 1.6570745747342823, 1.6822658142962017, 0.9543628043305317, 1.4891629098419514, 1.202638374394998, 2.7627607606482716, 1.901948345005143, 1.4783278675496334, 2.140205506231307, 1.2510080049275603, 0.15214078803761133, 1.0514781556562312, -0.07793622568552871, 1.1087178436202187, 1.766532856039208, 0.7711342058980636, -0.960015109370441, -1.2885095966995275, -1.4529390485630649, -2.3634759688469584, -1.0124541225601267, -0.30579332987929264, -1.330134803401169, -0.8290346560615527, 0.8500616503019469, -0.9469372772607377, 0.8506617030754247, 0.44915195093986937, 1.2508072544178845, 1.4610814496146436, 0.8129211018603874, 1.5232534851058306, 2.1114944115658187, 1.2219915749072094, -0.3976258002866906, 0.8476956382078153, 0.1391765966427383, -0.15481196626418914, 0.4782353951728578, 2.2749246001435974, 1.450811491635711, 1.7144091118967368, 3.4587995034499928, 1.888862874470152, 2.4923896148224767, 1.6119098167569637, 1.8401810620161938, 2.777190671044922, 1.344195905241366, -0.17791683671247527, 1.4410287110465938, 1.834711231647262, 3.1149505467918095, 2.077975485579986, 1.7248631398393093, 1.8694569296482093, 1.581202255200266, 2.1992038008122026, 1.9457909826160067, 3.240103256086299, 3.258612707355314, 1.6154692713070626, 0.06658099346375312, 2.3060711585977307, 1.9146121851079612, 1.8340914770802703, 1.7544695479146624, 1.7135563589612357, 3.8124583421018206, 3.8751933120984443, 4.990586383255798, 3.311149201396847, 3.1582026723478966, 3.469020223070096, 3.008899932560335, 5.395433454401468, 2.8584239181522006, 1.817993791652848, 0.20673720807992169, -0.6218206239186989, 0.8193056499548349, 1.681117122550578, 2.5338492909058883, 4.441896706461082, 4.1296764795479195, 2.7519814959048654, 2.661917926418173, 3.523915453293889, 2.620249513643973, 2.747502751143391, 1.6724293648553374, 3.169633527800064, 2.4153201172512615, 2.3617378369921505, 1.859115615288135, 3.241772919042777, 3.0049872057126974, 2.8428303029679283, 2.045287543153485, -1.3464946216077425, -1.0474836621398729, 0.5163598335082522, 0.7950973573508407, 1.5531760471394302, 1.347932529366377, 2.0070021479963964, 0.7424053616990234, 0.7313156858000531, -0.4356793217635555, 0.47874827499167805, 1.5275361739493487, 3.00889676318996, 1.9528954590563705, 1.2671678492560678, -0.07459630123176186, 0.551011707144242, 0.3464010529003856, 1.174321555659536, 2.215184888894348, 3.6059446112722338, 1.7157630554810535, 1.7152389511127475, 3.3014233440682537, 2.069964629445826, 2.690233098978132, 2.7192433725596867, 2.814332447348858, 0.8595648628574875, 0.8859013736796013, 1.4211010294891113, 3.997686971288812, 1.3806684095647137, 1.8565109755117915, 2.0540074120029295, 1.7415092211698435, 3.3588187090209507, 4.2083963879917405, 3.408871854219427, 1.2526532844982996, 2.3060305022902625, 4.042945792253253, 5.387971436420486, 5.5602431178389935, 5.549427324228578, 4.397374358039171, 3.684448229061395, 3.556183343470192, 6.080546680832313, 6.550958347196498, 6.575983126236988, 5.059850316348606, 4.595677378383758, 3.7911059292219464, 2.195051212567246, 2.4543868390761023, 2.9133642231117767, 3.7845459936985986, 1.2290378608203065, 1.5407059671797874, 0.6704073404893723, 2.266425054030534, 3.2497644250033115, 4.427460397292862, 4.376988639718071, 4.929380289221802, 4.389101024157226, 3.645819592921417, 4.722074213022903, 4.812594576641172, 5.026875476938143, 5.22406352909275, 4.671185468256548, 3.1894649064350347, 3.14998802603059, 4.009636392797487, 3.6654917037455306, 4.341697853433212, 3.0139745123760466, 1.9106542823809174, 0.3014945653336061, -0.7678646561033726, -0.12573880801628248, -1.4036145108728384, -1.393152167337143, -1.3668086978392053, -0.5589111873171084, 0.5523686474098217, 1.2437336324887047, 1.8229804797423619, 1.7561919582598187, 3.5241814911692355, 2.0556167952814124, 1.7807130576855716, 1.685330159120195, 1.3985615454176554, 2.1302686767253833, 1.5867995358195968, 2.4837257411009963, 2.9860396247677645, 2.91787159830471, 2.984675995873163, 2.6609783317538285, 2.6500643022729946, 2.427855042117011, 2.5074644548609877, 3.8872988646556683, 2.425347963279346, 1.872117663498489, 2.6464327863135164, 1.1845592511969376, 0.9756459300000134, 0.5060058303821946, 0.7917216713423104, -0.3411342030120139, 0.37159120975791715, 0.45671294488927927, 1.728859532701522, 1.1688455992341829, 0.8065019755892068, 1.2735838174444531, 3.0276001829361583, 2.495785541198045, 0.3025190030991449, 0.4376649126089924, -1.538197135275646, -1.6799784984051767, -1.337137477503315, -0.664995064592731, 0.49815743213947244, -0.03165431530063556, 0.7268849019373289, 1.2625454398237963, -0.02757886810434207, 0.18748433131467787, -0.317031616346365, -0.06552165640526547, -0.7349484924723662, 0.7024135556950517, 1.2490496912885338, 1.849912939778998, 3.5118197607012824, 2.720921907924617, 1.0401731152585314, 0.18489536713837684, 0.3289190417032782, 0.8270148601131222, 1.1964931360918216, 2.149802698288836, 2.159438426136532, -0.17622351854093932, 0.5635165282368912, 0.016005251158567102, 1.5427938101976135, 2.775323932180539, 3.1311840209565536, 3.3909663796466276, 4.103825228723808, 2.469736736163976, 2.930205044844179, 2.539195692032356, 5.212477102095665, 4.497877565900023, 5.551708283100011, 3.555414708416592, 3.243971712391815, 1.773776705344895, 1.625238164128665, 2.1549487430460177, -0.27086314684001955, -0.4849303148171108, 0.03718914570032559, -1.0145446000089569, -1.474499599772556, 1.2454879165464026, 0.5104309576968031, -0.4223193283996962, -2.4057070170176136, -0.3653664862838615, 0.845342998649151, 0.04818069758197452, -0.5643507380763055, -2.584588886991634, -2.960744401630349, -3.8819724945178447, -2.7081956548467807, -1.7182715160686448, -0.09356986938865797, 1.009441523714917, 0.431496634425547, 1.6622928228719327, 1.1724496396831112, 1.4677364840515899, 1.5245829328972573, 2.12881488868275, 1.2690634404537398, 1.4120210181979294, 1.75569842411635, 1.3579706464793018, 2.6761184170219234, 2.7560340633835505, 2.437664534049478, 2.344520044966832, 0.6798733952636153, 0.30246904975459454, 0.902029658595335, 0.34537007153152977, 0.1262139593399697, 0.4846160389081875, 2.2792948081794444, 3.0115995349944735, 1.9723937827341143, 3.264257289847497, 3.587680162452676, 4.699006806527176, 4.698070232723529, 4.488987324952217, 3.9260036279374813, 2.000189788455026, 0.13593571278450267, 0.5683531142616155, 1.068385740674712, 0.12549514730202116, -2.070658927667323, -1.2233418454011642, 1.1151730446186996, 0.35436148881118945, 2.0241766299647135, 1.3514724202273605, 1.626993055174393, 0.8006889825794457, 0.44325196877449347, -0.5992085307220261, -1.1760212770114036, -1.6824199436528269, -0.033135728850993806, 0.7025931785798534, 1.25770038632879, 1.512505561090156, 1.1178512025647205, 1.8881632278598621, 1.9454175227008574, 1.5797213841879931, -0.3338716409353337, 1.6290155244160411, 1.4962939762198346, 2.0012770055932263, 3.1296806652930806, 2.8893724356891517, 1.27341585354654, 0.06834694707781219, 2.964011571769573, 1.105243627806548, 2.097449158488436, 1.8774377229621095, 2.4919905906342508, 3.6385142334610787, 3.253202174500804, 3.2902434436039063, 3.688612099696188, 3.3468554310140646, 1.8562035326701782, 3.982248389646313, 1.9525173243556773, 2.0033338756795858, 3.2885272193607022, 1.7282398010404092, 1.8401538521634746, 3.019329513687306, 2.3875388398505217, 3.3803768658009754, 2.6551155350685445, 3.0165754278716075, 4.133932789210745, 2.6888237070999956, 3.7315866788862078, 3.6623206053961397, 4.829587687032937, 3.688228512511195, 4.115258758074528, 3.2876014318046756, 3.078909618852971, 4.05834644882941, 2.071855442872555, 1.821555944290045, 4.120226346435547, 2.501953928134568, 1.1176882159642736, 1.974115674710694, 1.6210847547049783, 0.8301579333310038, 2.192682894784392, 1.5165699604775078, 2.899974382329626, 1.6436169931936746, 1.7843294988040577, 2.097633637993966, 1.8213292542875905, 1.5925422902815674, 1.3994149286067614, 3.1452433929991024, 1.857294955485406, -0.5471518743158053, -0.1707633642784187, -0.3027180545315926, 1.4232487693980225, 0.3068034955835821, 1.1649191342118752, -0.0701372665312272, -0.31593961590408337, -0.16814858207780434, -0.9810066337832036, -0.1332752254229846, 2.0202254588644637, 1.5347177884588667, 1.1394683163616932, 1.1436301708625949, 2.5485094807104893, 3.832608239864987, 3.3627231062973877, 1.0098922810317017, 0.35136982972945896, -0.32398864211678563, 0.0508420788730613, -0.12542227385253218, -0.07094236388889447, -1.022877863797878, -0.5039656099829735, -1.6753913034717416, -0.7736021731848474, 0.5894381025448225, 0.8189225934950404, 1.4228229359455968, 1.7737185718200308 ]
101
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Granger Causality" ]
Granger causality is a statistical concept that determines whether one time series can predict another. While you cannot perform the statistical test, you can check if one time series can predict the other by shifting the time series by a certain number of steps. Do they look simiar after the shift?
Causality Analysis
Granger Causality
500
null